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import random
import chess
class ZobristHasher(object):
"""Represents a zobrist-hash function.
Class variables:
POLYGLOT_RANDOM_ARRAY: The random array as used by Polyglot opening
books.
"""
POLYGLOT_RANDOM_ARRAY = (
0x9D39247E33776D41, 0x2AF7398005AAA5C7, 0x44DB015024623547, 0x9C15F73E62A76AE2,
0x75834465489C0C89, 0x3290AC3A203001BF, 0x0FBBAD1F61042279, 0xE83A908FF2FB60CA,
0x0D7E765D58755C10, 0x1A083822CEAFE02D, 0x9605D5F0E25EC3B0, 0xD021FF5CD13A2ED5,
0x40BDF15D4A672E32, 0x011355146FD56395, 0x5DB4832046F3D9E5, 0x239F8B2D7FF719CC,
0x05D1A1AE85B49AA1, 0x679F848F6E8FC971, 0x7449BBFF801FED0B, 0x7D11CDB1C3B7ADF0,
0x82C7709E781EB7CC, 0xF3218F1C9510786C, 0x331478F3AF51BBE6, 0x4BB38DE5E7219443,
0xAA649C6EBCFD50FC, 0x8DBD98A352AFD40B, 0x87D2074B81D79217, 0x19F3C751D3E92AE1,
0xB4AB30F062B19ABF, 0x7B0500AC42047AC4, 0xC9452CA81A09D85D, 0x24AA6C514DA27500,
0x4C9F34427501B447, 0x14A68FD73C910841, 0xA71B9B83461CBD93, 0x03488B95B0F1850F,
0x637B2B34FF93C040, 0x09D1BC9A3DD90A94, 0x3575668334A1DD3B, 0x735E2B97A4C45A23,
0x18727070F1BD400B, 0x1FCBACD259BF02E7, 0xD310A7C2CE9B6555, 0xBF983FE0FE5D8244,
0x9F74D14F7454A824, 0x51EBDC4AB9BA3035, 0x5C82C505DB9AB0FA, 0xFCF7FE8A3430B241,
0x3253A729B9BA3DDE, 0x8C74C368081B3075, 0xB9BC6C87167C33E7, 0x7EF48F2B83024E20,
0x11D505D4C351BD7F, 0x6568FCA92C76A243, 0x4DE0B0F40F32A7B8, 0x96D693460CC37E5D,
0x42E240CB63689F2F, 0x6D2BDCDAE2919661, 0x42880B0236E4D951, 0x5F0F4A5898171BB6,
0x39F890F579F92F88, 0x93C5B5F47356388B, 0x63DC359D8D231B78, 0xEC16CA8AEA98AD76,
0x5355F900C2A82DC7, 0x07FB9F855A997142, 0x5093417AA8A7ED5E, 0x7BCBC38DA25A7F3C,
0x19FC8A768CF4B6D4, 0x637A7780DECFC0D9, 0x8249A47AEE0E41F7, 0x79AD695501E7D1E8,
0x14ACBAF4777D5776, 0xF145B6BECCDEA195, 0xDABF2AC8201752FC, 0x24C3C94DF9C8D3F6,
0xBB6E2924F03912EA, 0x0CE26C0B95C980D9, 0xA49CD132BFBF7CC4, 0xE99D662AF4243939,
0x27E6AD7891165C3F, 0x8535F040B9744FF1, 0x54B3F4FA5F40D873, 0x72B12C32127FED2B,
0xEE954D3C7B411F47, 0x9A85AC909A24EAA1, 0x70AC4CD9F04F21F5, 0xF9B89D3E99A075C2,
0x87B3E2B2B5C907B1, 0xA366E5B8C54F48B8, 0xAE4A9346CC3F7CF2, 0x1920C04D47267BBD,
0x87BF02C6B49E2AE9, 0x092237AC237F3859, 0xFF07F64EF8ED14D0, 0x8DE8DCA9F03CC54E,
0x9C1633264DB49C89, 0xB3F22C3D0B0B38ED, 0x390E5FB44D01144B, 0x5BFEA5B4712768E9,
0x1E1032911FA78984, 0x9A74ACB964E78CB3, 0x4F80F7A035DAFB04, 0x6304D09A0B3738C4,
0x2171E64683023A08, 0x5B9B63EB9CEFF80C, 0x506AACF489889342, 0x1881AFC9A3A701D6,
0x6503080440750644, 0xDFD395339CDBF4A7, 0xEF927DBCF00C20F2, 0x7B32F7D1E03680EC,
0xB9FD7620E7316243, 0x05A7E8A57DB91B77, 0xB5889C6E15630A75, 0x4A750A09CE9573F7,
0xCF464CEC899A2F8A, 0xF538639CE705B824, 0x3C79A0FF5580EF7F, 0xEDE6C87F8477609D,
0x799E81F05BC93F31, 0x86536B8CF3428A8C, 0x97D7374C60087B73, 0xA246637CFF328532,
0x043FCAE60CC0EBA0, 0x920E449535DD359E, 0x70EB093B15B290CC, 0x73A1921916591CBD,
0x56436C9FE1A1AA8D, 0xEFAC4B70633B8F81, 0xBB215798D45DF7AF, 0x45F20042F24F1768,
0x930F80F4E8EB7462, 0xFF6712FFCFD75EA1, 0xAE623FD67468AA70, 0xDD2C5BC84BC8D8FC,
0x7EED120D54CF2DD9, 0x22FE545401165F1C, 0xC91800E98FB99929, 0x808BD68E6AC10365,
0xDEC468145B7605F6, 0x1BEDE3A3AEF53302, 0x43539603D6C55602, 0xAA969B5C691CCB7A,
0xA87832D392EFEE56, 0x65942C7B3C7E11AE, 0xDED2D633CAD004F6, 0x21F08570F420E565,
0xB415938D7DA94E3C, 0x91B859E59ECB6350, 0x10CFF333E0ED804A, 0x28AED140BE0BB7DD,
0xC5CC1D89724FA456, 0x5648F680F11A2741, 0x2D255069F0B7DAB3, 0x9BC5A38EF729ABD4,
0xEF2F054308F6A2BC, 0xAF2042F5CC5C2858, 0x480412BAB7F5BE2A, 0xAEF3AF4A563DFE43,
0x19AFE59AE451497F, 0x52593803DFF1E840, 0xF4F076E65F2CE6F0, 0x11379625747D5AF3,
0xBCE5D2248682C115, 0x9DA4243DE836994F, 0x066F70B33FE09017, 0x4DC4DE189B671A1C,
0x51039AB7712457C3, 0xC07A3F80C31FB4B4, 0xB46EE9C5E64A6E7C, 0xB3819A42ABE61C87,
0x21A007933A522A20, 0x2DF16F761598AA4F, 0x763C4A1371B368FD, 0xF793C46702E086A0,
0xD7288E012AEB8D31, 0xDE336A2A4BC1C44B, 0x0BF692B38D079F23, 0x2C604A7A177326B3,
0x4850E73E03EB6064, 0xCFC447F1E53C8E1B, 0xB05CA3F564268D99, 0x9AE182C8BC9474E8,
0xA4FC4BD4FC5558CA, 0xE755178D58FC4E76, 0x69B97DB1A4C03DFE, 0xF9B5B7C4ACC67C96,
0xFC6A82D64B8655FB, 0x9C684CB6C4D24417, 0x8EC97D2917456ED0, 0x6703DF9D2924E97E,
0xC547F57E42A7444E, 0x78E37644E7CAD29E, 0xFE9A44E9362F05FA, 0x08BD35CC38336615,
0x9315E5EB3A129ACE, 0x94061B871E04DF75, 0xDF1D9F9D784BA010, 0x3BBA57B68871B59D,
0xD2B7ADEEDED1F73F, 0xF7A255D83BC373F8, 0xD7F4F2448C0CEB81, 0xD95BE88CD210FFA7,
0x336F52F8FF4728E7, 0xA74049DAC312AC71, 0xA2F61BB6E437FDB5, 0x4F2A5CB07F6A35B3,
0x87D380BDA5BF7859, 0x16B9F7E06C453A21, 0x7BA2484C8A0FD54E, 0xF3A678CAD9A2E38C,
0x39B0BF7DDE437BA2, 0xFCAF55C1BF8A4424, 0x18FCF680573FA594, 0x4C0563B89F495AC3,
0x40E087931A00930D, 0x8CFFA9412EB642C1, 0x68CA39053261169F, 0x7A1EE967D27579E2,
0x9D1D60E5076F5B6F, 0x3810E399B6F65BA2, 0x32095B6D4AB5F9B1, 0x35CAB62109DD038A,
0xA90B24499FCFAFB1, 0x77A225A07CC2C6BD, 0x513E5E634C70E331, 0x4361C0CA3F692F12,
0xD941ACA44B20A45B, 0x528F7C8602C5807B, 0x52AB92BEB9613989, 0x9D1DFA2EFC557F73,
0x722FF175F572C348, 0x1D1260A51107FE97, 0x7A249A57EC0C9BA2, 0x04208FE9E8F7F2D6,
0x5A110C6058B920A0, 0x0CD9A497658A5698, 0x56FD23C8F9715A4C, 0x284C847B9D887AAE,
0x04FEABFBBDB619CB, 0x742E1E651C60BA83, 0x9A9632E65904AD3C, 0x881B82A13B51B9E2,
0x506E6744CD974924, 0xB0183DB56FFC6A79, 0x0ED9B915C66ED37E, 0x5E11E86D5873D484,
0xF678647E3519AC6E, 0x1B85D488D0F20CC5, 0xDAB9FE6525D89021, 0x0D151D86ADB73615,
0xA865A54EDCC0F019, 0x93C42566AEF98FFB, 0x99E7AFEABE000731, 0x48CBFF086DDF285A,
0x7F9B6AF1EBF78BAF, 0x58627E1A149BBA21, 0x2CD16E2ABD791E33, 0xD363EFF5F0977996,
0x0CE2A38C344A6EED, 0x1A804AADB9CFA741, 0x907F30421D78C5DE, 0x501F65EDB3034D07,
0x37624AE5A48FA6E9, 0x957BAF61700CFF4E, 0x3A6C27934E31188A, 0xD49503536ABCA345,
0x088E049589C432E0, 0xF943AEE7FEBF21B8, 0x6C3B8E3E336139D3, 0x364F6FFA464EE52E,
0xD60F6DCEDC314222, 0x56963B0DCA418FC0, 0x16F50EDF91E513AF, 0xEF1955914B609F93,
0x565601C0364E3228, 0xECB53939887E8175, 0xBAC7A9A18531294B, 0xB344C470397BBA52,
0x65D34954DAF3CEBD, 0xB4B81B3FA97511E2, 0xB422061193D6F6A7, 0x071582401C38434D,
0x7A13F18BBEDC4FF5, 0xBC4097B116C524D2, 0x59B97885E2F2EA28, 0x99170A5DC3115544,
0x6F423357E7C6A9F9, 0x325928EE6E6F8794, 0xD0E4366228B03343, 0x565C31F7DE89EA27,
0x30F5611484119414, 0xD873DB391292ED4F, 0x7BD94E1D8E17DEBC, 0xC7D9F16864A76E94,
0x947AE053EE56E63C, 0xC8C93882F9475F5F, 0x3A9BF55BA91F81CA, 0xD9A11FBB3D9808E4,
0x0FD22063EDC29FCA, 0xB3F256D8ACA0B0B9, 0xB03031A8B4516E84, 0x35DD37D5871448AF,
0xE9F6082B05542E4E, 0xEBFAFA33D7254B59, 0x9255ABB50D532280, 0xB9AB4CE57F2D34F3,
0x693501D628297551, 0xC62C58F97DD949BF, 0xCD454F8F19C5126A, 0xBBE83F4ECC2BDECB,
0xDC842B7E2819E230, 0xBA89142E007503B8, 0xA3BC941D0A5061CB, 0xE9F6760E32CD8021,
0x09C7E552BC76492F, 0x852F54934DA55CC9, 0x8107FCCF064FCF56, 0x098954D51FFF6580,
0x23B70EDB1955C4BF, 0xC330DE426430F69D, 0x4715ED43E8A45C0A, 0xA8D7E4DAB780A08D,
0x0572B974F03CE0BB, 0xB57D2E985E1419C7, 0xE8D9ECBE2CF3D73F, 0x2FE4B17170E59750,
0x11317BA87905E790, 0x7FBF21EC8A1F45EC, 0x1725CABFCB045B00, 0x964E915CD5E2B207,
0x3E2B8BCBF016D66D, 0xBE7444E39328A0AC, 0xF85B2B4FBCDE44B7, 0x49353FEA39BA63B1,
0x1DD01AAFCD53486A, 0x1FCA8A92FD719F85, 0xFC7C95D827357AFA, 0x18A6A990C8B35EBD,
0xCCCB7005C6B9C28D, 0x3BDBB92C43B17F26, 0xAA70B5B4F89695A2, 0xE94C39A54A98307F,
0xB7A0B174CFF6F36E, 0xD4DBA84729AF48AD, 0x2E18BC1AD9704A68, 0x2DE0966DAF2F8B1C,
0xB9C11D5B1E43A07E, 0x64972D68DEE33360, 0x94628D38D0C20584, 0xDBC0D2B6AB90A559,
0xD2733C4335C6A72F, 0x7E75D99D94A70F4D, 0x6CED1983376FA72B, 0x97FCAACBF030BC24,
0x7B77497B32503B12, 0x8547EDDFB81CCB94, 0x79999CDFF70902CB, 0xCFFE1939438E9B24,
0x829626E3892D95D7, 0x92FAE24291F2B3F1, 0x63E22C147B9C3403, 0xC678B6D860284A1C,
0x5873888850659AE7, 0x0981DCD296A8736D, 0x9F65789A6509A440, 0x9FF38FED72E9052F,
0xE479EE5B9930578C, 0xE7F28ECD2D49EECD, 0x56C074A581EA17FE, 0x5544F7D774B14AEF,
0x7B3F0195FC6F290F, 0x12153635B2C0CF57, 0x7F5126DBBA5E0CA7, 0x7A76956C3EAFB413,
0x3D5774A11D31AB39, 0x8A1B083821F40CB4, 0x7B4A38E32537DF62, 0x950113646D1D6E03,
0x4DA8979A0041E8A9, 0x3BC36E078F7515D7, 0x5D0A12F27AD310D1, 0x7F9D1A2E1EBE1327,
0xDA3A361B1C5157B1, 0xDCDD7D20903D0C25, 0x36833336D068F707, 0xCE68341F79893389,
0xAB9090168DD05F34, 0x43954B3252DC25E5, 0xB438C2B67F98E5E9, 0x10DCD78E3851A492,
0xDBC27AB5447822BF, 0x9B3CDB65F82CA382, 0xB67B7896167B4C84, 0xBFCED1B0048EAC50,
0xA9119B60369FFEBD, 0x1FFF7AC80904BF45, 0xAC12FB171817EEE7, 0xAF08DA9177DDA93D,
0x1B0CAB936E65C744, 0xB559EB1D04E5E932, 0xC37B45B3F8D6F2BA, 0xC3A9DC228CAAC9E9,
0xF3B8B6675A6507FF, 0x9FC477DE4ED681DA, 0x67378D8ECCEF96CB, 0x6DD856D94D259236,
0xA319CE15B0B4DB31, 0x073973751F12DD5E, 0x8A8E849EB32781A5, 0xE1925C71285279F5,
0x74C04BF1790C0EFE, 0x4DDA48153C94938A, 0x9D266D6A1CC0542C, 0x7440FB816508C4FE,
0x13328503DF48229F, 0xD6BF7BAEE43CAC40, 0x4838D65F6EF6748F, 0x1E152328F3318DEA,
0x8F8419A348F296BF, 0x72C8834A5957B511, 0xD7A023A73260B45C, 0x94EBC8ABCFB56DAE,
0x9FC10D0F989993E0, 0xDE68A2355B93CAE6, 0xA44CFE79AE538BBE, 0x9D1D84FCCE371425,
0x51D2B1AB2DDFB636, 0x2FD7E4B9E72CD38C, 0x65CA5B96B7552210, 0xDD69A0D8AB3B546D,
0x604D51B25FBF70E2, 0x73AA8A564FB7AC9E, 0x1A8C1E992B941148, 0xAAC40A2703D9BEA0,
0x764DBEAE7FA4F3A6, 0x1E99B96E70A9BE8B, 0x2C5E9DEB57EF4743, 0x3A938FEE32D29981,
0x26E6DB8FFDF5ADFE, 0x469356C504EC9F9D, 0xC8763C5B08D1908C, 0x3F6C6AF859D80055,
0x7F7CC39420A3A545, 0x9BFB227EBDF4C5CE, 0x89039D79D6FC5C5C, 0x8FE88B57305E2AB6,
0xA09E8C8C35AB96DE, 0xFA7E393983325753, 0xD6B6D0ECC617C699, 0xDFEA21EA9E7557E3,
0xB67C1FA481680AF8, 0xCA1E3785A9E724E5, 0x1CFC8BED0D681639, 0xD18D8549D140CAEA,
0x4ED0FE7E9DC91335, 0xE4DBF0634473F5D2, 0x1761F93A44D5AEFE, 0x53898E4C3910DA55,
0x734DE8181F6EC39A, 0x2680B122BAA28D97, 0x298AF231C85BAFAB, 0x7983EED3740847D5,
0x66C1A2A1A60CD889, 0x9E17E49642A3E4C1, 0xEDB454E7BADC0805, 0x50B704CAB602C329,
0x4CC317FB9CDDD023, 0x66B4835D9EAFEA22, 0x219B97E26FFC81BD, 0x261E4E4C0A333A9D,
0x1FE2CCA76517DB90, 0xD7504DFA8816EDBB, 0xB9571FA04DC089C8, 0x1DDC0325259B27DE,
0xCF3F4688801EB9AA, 0xF4F5D05C10CAB243, 0x38B6525C21A42B0E, 0x36F60E2BA4FA6800,
0xEB3593803173E0CE, 0x9C4CD6257C5A3603, 0xAF0C317D32ADAA8A, 0x258E5A80C7204C4B,
0x8B889D624D44885D, 0xF4D14597E660F855, 0xD4347F66EC8941C3, 0xE699ED85B0DFB40D,
0x2472F6207C2D0484, 0xC2A1E7B5B459AEB5, 0xAB4F6451CC1D45EC, 0x63767572AE3D6174,
0xA59E0BD101731A28, 0x116D0016CB948F09, 0x2CF9C8CA052F6E9F, 0x0B090A7560A968E3,
0xABEEDDB2DDE06FF1, 0x58EFC10B06A2068D, 0xC6E57A78FBD986E0, 0x2EAB8CA63CE802D7,
0x14A195640116F336, 0x7C0828DD624EC390, 0xD74BBE77E6116AC7, 0x804456AF10F5FB53,
0xEBE9EA2ADF4321C7, 0x03219A39EE587A30, 0x49787FEF17AF9924, 0xA1E9300CD8520548,
0x5B45E522E4B1B4EF, 0xB49C3B3995091A36, 0xD4490AD526F14431, 0x12A8F216AF9418C2,
0x001F837CC7350524, 0x1877B51E57A764D5, 0xA2853B80F17F58EE, 0x993E1DE72D36D310,
0xB3598080CE64A656, 0x252F59CF0D9F04BB, 0xD23C8E176D113600, 0x1BDA0492E7E4586E,
0x21E0BD5026C619BF, 0x3B097ADAF088F94E, 0x8D14DEDB30BE846E, 0xF95CFFA23AF5F6F4,
0x3871700761B3F743, 0xCA672B91E9E4FA16, 0x64C8E531BFF53B55, 0x241260ED4AD1E87D,
0x106C09B972D2E822, 0x7FBA195410E5CA30, 0x7884D9BC6CB569D8, 0x0647DFEDCD894A29,
0x63573FF03E224774, 0x4FC8E9560F91B123, 0x1DB956E450275779, 0xB8D91274B9E9D4FB,
0xA2EBEE47E2FBFCE1, 0xD9F1F30CCD97FB09, 0xEFED53D75FD64E6B, 0x2E6D02C36017F67F,
0xA9AA4D20DB084E9B, 0xB64BE8D8B25396C1, 0x70CB6AF7C2D5BCF0, 0x98F076A4F7A2322E,
0xBF84470805E69B5F, 0x94C3251F06F90CF3, 0x3E003E616A6591E9, 0xB925A6CD0421AFF3,
0x61BDD1307C66E300, 0xBF8D5108E27E0D48, 0x240AB57A8B888B20, 0xFC87614BAF287E07,
0xEF02CDD06FFDB432, 0xA1082C0466DF6C0A, 0x8215E577001332C8, 0xD39BB9C3A48DB6CF,
0x2738259634305C14, 0x61CF4F94C97DF93D, 0x1B6BACA2AE4E125B, 0x758F450C88572E0B,
0x959F587D507A8359, 0xB063E962E045F54D, 0x60E8ED72C0DFF5D1, 0x7B64978555326F9F,
0xFD080D236DA814BA, 0x8C90FD9B083F4558, 0x106F72FE81E2C590, 0x7976033A39F7D952,
0xA4EC0132764CA04B, 0x733EA705FAE4FA77, 0xB4D8F77BC3E56167, 0x9E21F4F903B33FD9,
0x9D765E419FB69F6D, 0xD30C088BA61EA5EF, 0x5D94337FBFAF7F5B, 0x1A4E4822EB4D7A59,
0x6FFE73E81B637FB3, 0xDDF957BC36D8B9CA, 0x64D0E29EEA8838B3, 0x08DD9BDFD96B9F63,
0x087E79E5A57D1D13, 0xE328E230E3E2B3FB, 0x1C2559E30F0946BE, 0x720BF5F26F4D2EAA,
0xB0774D261CC609DB, 0x443F64EC5A371195, 0x4112CF68649A260E, 0xD813F2FAB7F5C5CA,
0x660D3257380841EE, 0x59AC2C7873F910A3, 0xE846963877671A17, 0x93B633ABFA3469F8,
0xC0C0F5A60EF4CDCF, 0xCAF21ECD4377B28C, 0x57277707199B8175, 0x506C11B9D90E8B1D,
0xD83CC2687A19255F, 0x4A29C6465A314CD1, 0xED2DF21216235097, 0xB5635C95FF7296E2,
0x22AF003AB672E811, 0x52E762596BF68235, 0x9AEBA33AC6ECC6B0, 0x944F6DE09134DFB6,
0x6C47BEC883A7DE39, 0x6AD047C430A12104, 0xA5B1CFDBA0AB4067, 0x7C45D833AFF07862,
0x5092EF950A16DA0B, 0x9338E69C052B8E7B, 0x455A4B4CFE30E3F5, 0x6B02E63195AD0CF8,
0x6B17B224BAD6BF27, 0xD1E0CCD25BB9C169, 0xDE0C89A556B9AE70, 0x50065E535A213CF6,
0x9C1169FA2777B874, 0x78EDEFD694AF1EED, 0x6DC93D9526A50E68, 0xEE97F453F06791ED,
0x32AB0EDB696703D3, 0x3A6853C7E70757A7, 0x31865CED6120F37D, 0x67FEF95D92607890,
0x1F2B1D1F15F6DC9C, 0xB69E38A8965C6B65, 0xAA9119FF184CCCF4, 0xF43C732873F24C13,
0xFB4A3D794A9A80D2, 0x3550C2321FD6109C, 0x371F77E76BB8417E, 0x6BFA9AAE5EC05779,
0xCD04F3FF001A4778, 0xE3273522064480CA, 0x9F91508BFFCFC14A, 0x049A7F41061A9E60,
0xFCB6BE43A9F2FE9B, 0x08DE8A1C7797DA9B, 0x8F9887E6078735A1, 0xB5B4071DBFC73A66,
0x230E343DFBA08D33, 0x43ED7F5A0FAE657D, 0x3A88A0FBBCB05C63, 0x21874B8B4D2DBC4F,
0x1BDEA12E35F6A8C9, 0x53C065C6C8E63528, 0xE34A1D250E7A8D6B, 0xD6B04D3B7651DD7E,
0x5E90277E7CB39E2D, 0x2C046F22062DC67D, 0xB10BB459132D0A26, 0x3FA9DDFB67E2F199,
0x0E09B88E1914F7AF, 0x10E8B35AF3EEAB37, 0x9EEDECA8E272B933, 0xD4C718BC4AE8AE5F,
0x81536D601170FC20, 0x91B534F885818A06, 0xEC8177F83F900978, 0x190E714FADA5156E,
0xB592BF39B0364963, 0x89C350C893AE7DC1, 0xAC042E70F8B383F2, 0xB49B52E587A1EE60,
0xFB152FE3FF26DA89, 0x3E666E6F69AE2C15, 0x3B544EBE544C19F9, 0xE805A1E290CF2456,
0x24B33C9D7ED25117, 0xE74733427B72F0C1, 0x0A804D18B7097475, 0x57E3306D881EDB4F,
0x4AE7D6A36EB5DBCB, 0x2D8D5432157064C8, 0xD1E649DE1E7F268B, 0x8A328A1CEDFE552C,
0x07A3AEC79624C7DA, 0x84547DDC3E203C94, 0x990A98FD5071D263, 0x1A4FF12616EEFC89,
0xF6F7FD1431714200, 0x30C05B1BA332F41C, 0x8D2636B81555A786, 0x46C9FEB55D120902,
0xCCEC0A73B49C9921, 0x4E9D2827355FC492, 0x19EBB029435DCB0F, 0x4659D2B743848A2C,
0x963EF2C96B33BE31, 0x74F85198B05A2E7D, 0x5A0F544DD2B1FB18, 0x03727073C2E134B1,
0xC7F6AA2DE59AEA61, 0x352787BAA0D7C22F, 0x9853EAB63B5E0B35, 0xABBDCDD7ED5C0860,
0xCF05DAF5AC8D77B0, 0x49CAD48CEBF4A71E, 0x7A4C10EC2158C4A6, 0xD9E92AA246BF719E,
0x13AE978D09FE5557, 0x730499AF921549FF, 0x4E4B705B92903BA4, 0xFF577222C14F0A3A,
0x55B6344CF97AAFAE, 0xB862225B055B6960, 0xCAC09AFBDDD2CDB4, 0xDAF8E9829FE96B5F,
0xB5FDFC5D3132C498, 0x310CB380DB6F7503, 0xE87FBB46217A360E, 0x2102AE466EBB1148,
0xF8549E1A3AA5E00D, 0x07A69AFDCC42261A, 0xC4C118BFE78FEAAE, 0xF9F4892ED96BD438,
0x1AF3DBE25D8F45DA, 0xF5B4B0B0D2DEEEB4, 0x962ACEEFA82E1C84, 0x046E3ECAAF453CE9,
0xF05D129681949A4C, 0x964781CE734B3C84, 0x9C2ED44081CE5FBD, 0x522E23F3925E319E,
0x177E00F9FC32F791, 0x2BC60A63A6F3B3F2, 0x222BBFAE61725606, 0x486289DDCC3D6780,
0x7DC7785B8EFDFC80, 0x8AF38731C02BA980, 0x1FAB64EA29A2DDF7, 0xE4D9429322CD065A,
0x9DA058C67844F20C, 0x24C0E332B70019B0, 0x233003B5A6CFE6AD, 0xD586BD01C5C217F6,
0x5E5637885F29BC2B, 0x7EBA726D8C94094B, 0x0A56A5F0BFE39272, 0xD79476A84EE20D06,
0x9E4C1269BAA4BF37, 0x17EFEE45B0DEE640, 0x1D95B0A5FCF90BC6, 0x93CBE0B699C2585D,
0x65FA4F227A2B6D79, 0xD5F9E858292504D5, 0xC2B5A03F71471A6F, 0x59300222B4561E00,
0xCE2F8642CA0712DC, 0x7CA9723FBB2E8988, 0x2785338347F2BA08, 0xC61BB3A141E50E8C,
0x150F361DAB9DEC26, 0x9F6A419D382595F4, 0x64A53DC924FE7AC9, 0x142DE49FFF7A7C3D,
0x0C335248857FA9E7, 0x0A9C32D5EAE45305, 0xE6C42178C4BBB92E, 0x71F1CE2490D20B07,
0xF1BCC3D275AFE51A, 0xE728E8C83C334074, 0x96FBF83A12884624, 0x81A1549FD6573DA5,
0x5FA7867CAF35E149, 0x56986E2EF3ED091B, 0x917F1DD5F8886C61, 0xD20D8C88C8FFE65F,
0x31D71DCE64B2C310, 0xF165B587DF898190, 0xA57E6339DD2CF3A0, 0x1EF6E6DBB1961EC9,
0x70CC73D90BC26E24, 0xE21A6B35DF0C3AD7, 0x003A93D8B2806962, 0x1C99DED33CB890A1,
0xCF3145DE0ADD4289, 0xD0E4427A5514FB72, 0x77C621CC9FB3A483, 0x67A34DAC4356550B,
0xF8D626AAAF278509)
def __init__(self, random_array=POLYGLOT_RANDOM_ARRAY):
"""Inits a ZobristHasher.
Args:
random_array: An tuple of 781 pseudo-random 64 bit integers.
Defaults to the random numbers of the Polyglot opening book
format.
"""
assert len(random_array) == 781
self._random_array = random_array
def hash_position(self, position):
key = 0
# Hash in the board setup.
for square in chess.Square.get_all():
piece = position.get(square)
if piece:
piece_index = "pPnNbBrRqQkK".index(piece.get_symbol())
key ^= self._random_array[64 * piece_index + 8 * square.get_y() + square.get_x()]
# Hash in the castling flags.
if position.get_castling_right("K"):
key ^= self._random_array[768]
if position.get_castling_right("Q"):
key ^= self._random_array[768 + 1]
if position.get_castling_right("k"):
key ^= self._random_array[768 + 2]
if position.get_castling_right("q"):
key ^= self._random_array[768 + 3]
# Hash in the en-passant file.
if position.get_ep_file() and position.get_theoretical_ep_right(position.get_ep_file()):
key ^= self._random_array[772 + ord(position.get_ep_file()) - ord("a")]
# Hash in the turn.
if position.get_turn() == "w":
key ^= self._random_array[780]
return key
@classmethod
def create_random(cls):
"""Generates a new random number array using the random module and
creates a new ZobristHasher from it. Its up to the caller to seed the
random number generator (or not).
Returns:
A new ZobristHasher.
"""
return cls(tuple(random.randint(0, 2**64) for i in range(0, 781)))
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