/****************************************************************************** * * * PRIME LOOK-UP TABLE * * 10/15/05 (dkc) * * * * This table includes the 1228 primes less than 10,000. a and b such that * * (a**p+b**p)/(a+b) equals T**p or p*T**p, 1000000>a>b>0, for p=3 are given. * * (Values were computed by "test1p.c".) * * * ******************************************************************************/ unsigned int count; unsigned int qcount; unsigned int rcount; unsigned int scount; unsigned int qsave[500*3]; unsigned int rsave[500*3]; unsigned int ssave[500*3]; unsigned int error[100]; unsigned int output[5001*4]; unsigned int tmptab[15000]; unsigned int input[4284*3]={ 0xf4115, 0xecd11, 0x1, 0xf4115, 0x7404, 0x1, 0xf4040, 0xc7f4b, 0x1, 0xf4040, 0x2c0f5, 0x1, 0xf3ec3, 0xbfbe1, 0x2, 0xf3ec3, 0x342e2, 0x2, 0xf3c2b, 0x80569, 0x2, 0xf3c2b, 0x736c2, 0x2, 0xf37cf, 0xde2cb, 0x3, 0xf37cf, 0x15504, 0x3, 0xf3642, 0x86fcb, 0x2, 0xf3642, 0x6c677, 0x2, 0xf3630, 0xd2bc3, 0x2, 0xf3630, 0x20a6d, 0x2, 0xf34b5, 0x84c48, 0x2, 0xf34b5, 0x6e86d, 0x2, 0xf3156, 0xb9a13, 0x3, 0xf3156, 0x39743, 0x3, 0xf310d, 0xe3a30, 0x1, 0xf310d, 0xf6dd, 0x1, 0xf2e99, 0xa9ad7, 0x2, 0xf2e99, 0x493c2, 0x2, 0xf277f, 0x7b3ec, 0x1, 0xf277f, 0x77393, 0x1, 0xf26ca, 0x93c89, 0x1, 0xf26ca, 0x5ea41, 0x1, 0xf1ee9, 0xee738, 0x1, 0xf1ee9, 0x37b1, 0x1, 0xf161f, 0xb0755, 0x1, 0xf161f, 0x40eca, 0x1, 0xf14ed, 0xa24d9, 0x1, 0xf14ed, 0x4f014, 0x1, 0xf1385, 0x78d19, 0x1, 0xf1385, 0x7866c, 0x1, 0xf0f4f, 0x9af25, 0x1, 0xf0f4f, 0x5602a, 0x1, 0xf0de5, 0xeedb2, 0x1, 0xf0de5, 0x2033, 0x1, 0xf0a2b, 0xc0f47, 0x1, 0xf0a2b, 0x2fae4, 0x1, 0x000EFC54, 0x000D3D59, 0x00000001, 0x000EFC54, 0x0001BEFB, 0x00000001, 0x000EFAB4, 0x000C54BF, 0x00000003, 0x000EFAB4, 0x0002A5F5, 0x00000003, 0x000EFA11, 0x000AE30A, 0x00000001, 0x000EFA11, 0x00041707, 0x00000001, 0x000EF8CF, 0x000B63F0, 0x00000002, 0x000EF8CF, 0x000394DF, 0x00000002, 0x000EF5A6, 0x0009315D, 0x00000002, 0x000EF5A6, 0x0005C449, 0x00000002, 0x000EF20F, 0x000B1456, 0x00000001, 0x000EF20F, 0x0003DDB9, 0x00000001, 0x000EF1C7, 0x0009DE68, 0x00000002, 0x000EF1C7, 0x0005135F, 0x00000002, 0x000EEFBD, 0x000A5996, 0x00000001, 0x000EEFBD, 0x00049627, 0x00000001, 0x000EECDB, 0x000BCD0C, 0x00000001, 0x000EECDB, 0x00031FCF, 0x00000001, 0x000EEB5F, 0x000C62AA, 0x00000002, 0x000EEB5F, 0x000288B5, 0x00000002, 0x000EE8EA, 0x000AC53D, 0x00000003, 0x000EE8EA, 0x000423AD, 0x00000003, 0x000EE847, 0x00095AC4, 0x00000001, 0x000EE847, 0x00058D83, 0x00000001, 0x000EE62D, 0x000B2669, 0x00000001, 0x000EE62D, 0x0003BFC4, 0x00000001, 0x000EE445, 0x000A13C5, 0x00000002, 0x000EE445, 0x0004D080, 0x00000002, 0x000EE00F, 0x000C8394, 0x00000003, 0x000EE00F, 0x00025C7B, 0x00000003, 0x000EDF25, 0x000CE066, 0x00000002, 0x000EDF25, 0x0001FEBF, 0x00000002, 0x000EDF01, 0x000E8FAF, 0x00000002, 0x000EDF01, 0x00004F52, 0x00000002, 0x000EDB7C, 0x000CAFBD, 0x00000001, 0x000EDB7C, 0x00022BBF, 0x00000001, 0x000EDB59, 0x000939BB, 0x00000002, 0x000EDB59, 0x0005A19E, 0x00000002, 0x000ED6B5, 0x000DA021, 0x00000002, 0x000ED6B5, 0x00013694, 0x00000002, 0x000ED4CF, 0x0008DE88, 0x00000002, 0x000ED4CF, 0x0005F647, 0x00000002, 0x000ED1B6, 0x00079D11, 0x00000003, 0x000ED1B6, 0x000734A5, 0x00000003, 0x000ECD13, 0x000E5B61, 0x00000002, 0x000ECD13, 0x000071B2, 0x00000002, 0x000ECAAF, 0x00085112, 0x00000002, 0x000ECAAF, 0x0006799D, 0x00000002, 0x000ECA0C, 0x00086A05, 0x00000002, 0x000ECA0C, 0x00066007, 0x00000002, 0x000EC99F, 0x000DE88D, 0x00000002, 0x000EC99F, 0x0000E112, 0x00000002, 0x000EC4A3, 0x000CB0DB, 0x00000002, 0x000EC4A3, 0x000213C8, 0x00000002, 0x000EC262, 0x0008CE81, 0x00000001, 0x000EC262, 0x0005F3E1, 0x00000001, 0x000EC1D0, 0x0007CD39, 0x00000001, 0x000EC1D0, 0x0006F497, 0x00000001, 0x000EBC57, 0x00081E82, 0x00000001, 0x000EBC57, 0x00069DD5, 0x00000001, 0x000EBBEB, 0x000D030F, 0x00000001, 0x000EBBEB, 0x0001B8DC, 0x00000001, 0x000EBB8F, 0x000DD860, 0x00000003, 0x000EBB8F, 0x0000E32F, 0x00000003, 0x000EBB7D, 0x0008C4A7, 0x00000003, 0x000EBB7D, 0x0005F6D6, 0x00000003, 0x000EB6C6, 0x0008A03B, 0x00000002, 0x000EB6C6, 0x0006168B, 0x00000002, 0x000EB6A3, 0x0007CB1C, 0x00000001, 0x000EB6A3, 0x0006EB87, 0x00000001, 0x000EB2FE, 0x000AC4E3, 0x00000002, 0x000EB2FE, 0x0003EE1B, 0x00000002, 0x000EB247, 0x000B5086, 0x00000003, 0x000EB247, 0x000361C1, 0x00000003, 0x000EB1B7, 0x000C9071, 0x00000003, 0x000EB1B7, 0x00022146, 0x00000003, 0x000EAED5, 0x0009DF62, 0x00000001, 0x000EAED5, 0x0004CF73, 0x00000001, 0x000EAD16, 0x000DF45F, 0x00000002, 0x000EAD16, 0x0000B8B7, 0x00000002, 0x000EAB64, 0x0009935F, 0x00000001, 0x000EAB64, 0x00051805, 0x00000001, 0x000EA901, 0x000BC213, 0x00000001, 0x000EA901, 0x0002E6EE, 0x00000001, 0x000EA427, 0x000E5286, 0x00000002, 0x000EA427, 0x000051A1, 0x00000002, 0x000EA0B2, 0x00096D67, 0x00000002, 0x000EA0B2, 0x0005334B, 0x00000002, 0x000E9CA1, 0x00075D02, 0x00000003, 0x000E9CA1, 0x00073F9F, 0x00000003, 0x000E9C10, 0x0009F3B5, 0x00000002, 0x000E9C10, 0x0004A85B, 0x00000002, 0x000E98B0, 0x000E8B67, 0x00000001, 0x000E98B0, 0x00000D49, 0x00000001, 0x000E97A1, 0x000CB93A, 0x00000003, 0x000E97A1, 0x0001DE67, 0x00000003, 0x000E96B9, 0x000BAB95, 0x00000001, 0x000E96B9, 0x0002EB24, 0x00000001, 0x000E953E, 0x000D60EB, 0x00000002, 0x000E953E, 0x00013453, 0x00000002, 0x000E8DDB, 0x000866EE, 0x00000003, 0x000E8DDB, 0x000626ED, 0x00000003, 0x000E8C60, 0x000D6121, 0x00000001, 0x000E8C60, 0x00012B3F, 0x00000001, 0x000E85FB, 0x000B3963, 0x00000002, 0x000E85FB, 0x00034C98, 0x00000002, 0x000E84C9, 0x00095765, 0x00000002, 0x000E84C9, 0x00052D64, 0x00000002, 0x000E8429, 0x0007C6F7, 0x00000003, 0x000E8429, 0x0006BD32, 0x00000003, 0x000E8289, 0x000D0693, 0x00000002, 0x000E8289, 0x00017BF6, 0x00000002, 0x000E7F94, 0x000A3487, 0x00000001, 0x000E7F94, 0x00044B0D, 0x00000001, 0x000E76B9, 0x0009E4CA, 0x00000002, 0x000E76B9, 0x000491EF, 0x00000002, 0x000E75BF, 0x0007DB93, 0x00000002, 0x000E75BF, 0x00069A2C, 0x00000002, 0x000E75BE, 0x000AB011, 0x00000002, 0x000E75BE, 0x0003C5AD, 0x00000002, 0xe6e5d, 0xbdbd2, 0x1, 0xe6e5d, 0x2928b, 0x1, 0xe6e38, 0xdb70f, 0x2, 0xe6e38, 0xb729, 0x2, 0xe694c, 0x79b29, 0x2, 0xe694c, 0x6ce23, 0x2, 0xe65c7, 0x83071, 0x1, 0xe65c7, 0x63556, 0x1, 0xe6593, 0x8e3be, 0x3, 0xe6593, 0x581d5, 0x3, 0xe5ec0, 0xb0c0b, 0x1, 0xe5ec0, 0x352b5, 0x1, 0xe5e53, 0xe185e, 0x1, 0xe5e53, 0x45f5, 0x1, 0xe5e1f, 0xa5595, 0x3, 0xe5e1f, 0x4088a, 0x3, 0xe55e5, 0x9e6d5, 0x2, 0xe55e5, 0x46f10, 0x2, 0xe547b, 0xcd10e, 0x2, 0xe547b, 0x1836d, 0x2, 0xe536c, 0xaf565, 0x2, 0xe536c, 0x35e07, 0x2, 0xe524d, 0xd0aff, 0x1, 0xe524d, 0x1474e, 0x1, 0x000E4FE9, 0x0007679F, 0x00000001, 0x000E4FE9, 0x0006E84A, 0x00000001, 0x000E4EDB, 0x000B2F8D, 0x00000001, 0x000E4EDB, 0x00031F4E, 0x00000001, 0x000E4AEC, 0x0009258D, 0x00000002, 0x000E4AEC, 0x0005255F, 0x00000002, 0x000E43E6, 0x000C3ED1, 0x00000002, 0x000E43E6, 0x00020515, 0x00000002, 0x000E404F, 0x000C2A49, 0x00000003, 0x000E404F, 0x00021606, 0x00000003, 0x000E3EC2, 0x000CE587, 0x00000002, 0x000E3EC2, 0x0001593B, 0x00000002, 0x000E333C, 0x00078331, 0x00000001, 0x000E333C, 0x0006B00B, 0x00000001, 0x000E2D53, 0x000BC160, 0x00000001, 0x000E2D53, 0x00026BF3, 0x00000001, 0x000E2C8C, 0x0009E28B, 0x00000002, 0x000E2C8C, 0x00044A01, 0x00000002, 0x000E2B37, 0x0008F088, 0x00000001, 0x000E2B37, 0x00053AAF, 0x00000001, 0x000E291A, 0x000BBF79, 0x00000001, 0x000E291A, 0x000269A1, 0x00000001, 0x000E2856, 0x000850C9, 0x00000002, 0x000E2856, 0x0005D78D, 0x00000002, 0x000E1ED7, 0x0008FACB, 0x00000002, 0x000E1ED7, 0x0005240C, 0x00000002, 0x000E1C3A, 0x000BAFCB, 0x00000002, 0x000E1C3A, 0x00026C6F, 0x00000002, 0x000E198F, 0x00074119, 0x00000002, 0x000E198F, 0x0006D876, 0x00000002, 0x000E12BF, 0x000901B1, 0x00000002, 0x000E12BF, 0x0005110E, 0x00000002, 0x000E0A72, 0x000C16E1, 0x00000001, 0x000E0A72, 0x0001F391, 0x00000001, 0x000E04AE, 0x000734A7, 0x00000002, 0x000E04AE, 0x0006D007, 0x00000002, 0x000E025B, 0x000A6A75, 0x00000001, 0x000E025B, 0x000397E6, 0x00000001, 0x000E0185, 0x000D1CDC, 0x00000002, 0x000E0185, 0x0000E4A9, 0x00000002, 0x000DFE6D, 0x00077D6C, 0x00000001, 0x000DFE6D, 0x00068101, 0x00000001, 0x000DFE6B, 0x000A97F4, 0x00000001, 0x000DFE6B, 0x00036677, 0x00000001, 0x000DFE6B, 0x0009E5C8, 0x00000001, 0x000DFE6B, 0x000418A3, 0x00000001, 0x000DFD39, 0x000A6432, 0x00000003, 0x000DFD39, 0x00039907, 0x00000003, 0x000DFD28, 0x0007FA15, 0x00000002, 0x000DFD28, 0x00060313, 0x00000002, 0x000DFA59, 0x000ADEE8, 0x00000002, 0x000DFA59, 0x00031B71, 0x00000002, 0x000DF861, 0x00096BF0, 0x00000002, 0x000DF861, 0x00048C71, 0x00000002, 0x000DF71B, 0x000931B6, 0x00000002, 0x000DF71B, 0x0004C565, 0x00000002, 0x000DF709, 0x000B4816, 0x00000003, 0x000DF709, 0x0002AEF3, 0x00000003, 0x000DF655, 0x00095B9F, 0x00000002, 0x000DF655, 0x00049AB6, 0x00000002, 0x000DF5A2, 0x00085AD7, 0x00000001, 0x000DF5A2, 0x00059ACB, 0x00000001, 0x000DF58F, 0x000890F9, 0x00000002, 0x000DF58F, 0x00056496, 0x00000002, 0x000DF45F, 0x000DA85B, 0x00000002, 0x000DF45F, 0x00004C04, 0x00000002, 0x000DF1D8, 0x0009DA77, 0x00000001, 0x000DF1D8, 0x00041761, 0x00000001, 0x000DF16A, 0x000D8E45, 0x00000003, 0x000DF16A, 0x00006325, 0x00000003, 0x000DF0B5, 0x0008EE7C, 0x00000002, 0x000DF0B5, 0x00050239, 0x00000002, 0x000DEBFF, 0x000D7EDF, 0x00000002, 0x000DEBFF, 0x00006D20, 0x00000002, 0x000DE9E3, 0x000BD142, 0x00000001, 0x000DE9E3, 0x000218A1, 0x00000001, 0x000DE88D, 0x00087BE2, 0x00000002, 0x000DE88D, 0x00056CAB, 0x00000002, 0x000DE833, 0x000BF60A, 0x00000001, 0x000DE833, 0x0001F229, 0x00000001, 0x000DE301, 0x000CA273, 0x00000001, 0x000DE301, 0x0001408E, 0x00000001, 0x000DDF10, 0x00091853, 0x00000002, 0x000DDF10, 0x0004C6BD, 0x00000002, 0x000DDC41, 0x000C48CE, 0x00000001, 0x000DDC41, 0x00019373, 0x00000001, 0x000DDB31, 0x000C3455, 0x00000002, 0x000DDB31, 0x0001A6DC, 0x00000002, 0x000DD9FE, 0x000C6383, 0x00000002, 0x000DD9FE, 0x0001767B, 0x00000002, 0x000DD902, 0x00088D1B, 0x00000002, 0x000DD902, 0x00054BE7, 0x00000002, 0x000DD6FB, 0x0007F12A, 0x00000002, 0x000DD6FB, 0x0005E5D1, 0x00000002, 0x000DD6C5, 0x00098BB7, 0x00000001, 0x000DD6C5, 0x00044B0E, 0x00000001, 0x000DD2D3, 0x0007C470, 0x00000001, 0x000DD2D3, 0x00060E63, 0x00000001, 0x000DD1D7, 0x000CA1AC, 0x00000001, 0x000DD1D7, 0x0001302B, 0x00000001, 0x000DD16C, 0x000B4B2F, 0x00000002, 0x000DD16C, 0x0002863D, 0x00000002, 0x000DD004, 0x00097501, 0x00000001, 0x000DD004, 0x00045B03, 0x00000001, 0x000DC640, 0x000A9621, 0x00000001, 0x000DC640, 0x0003301F, 0x00000001, 0x000DC578, 0x000CC0F5, 0x00000002, 0x000DC578, 0x00010483, 0x00000002, 0x000DC50D, 0x000B5867, 0x00000001, 0x000DC50D, 0x00026CA6, 0x00000001, 0x000DB6C5, 0x000AEAA3, 0x00000001, 0x000DB6C5, 0x0002CC22, 0x00000001, 0x000DB611, 0x000D3468, 0x00000001, 0x000DB611, 0x000081A9, 0x00000001, 0x000DB5FF, 0x00070B84, 0x00000001, 0x000DB5FF, 0x0006AA7B, 0x00000001, 0x000DB53B, 0x0007B08B, 0x00000002, 0x000DB53B, 0x000604B0, 0x00000002, 0x000DB3E3, 0x000D4AD8, 0x00000002, 0x000DB3E3, 0x0000690B, 0x00000002, 0x000DAA66, 0x000A2A1F, 0x00000002, 0x000DAA66, 0x00038047, 0x00000002, 0x000DA85E, 0x000D9D77, 0x00000002, 0x000DA85E, 0x00000AE7, 0x00000002, 0x000DA6BD, 0x000D11F7, 0x00000002, 0x000DA6BD, 0x000094C6, 0x00000002, 0x000D9F26, 0x000D1395, 0x00000001, 0x000D9F26, 0x00008B91, 0x00000001, 0x000D9C56, 0x000793A5, 0x00000001, 0x000D9C56, 0x000608B1, 0x00000001, 0x000D9B7D, 0x000C2FB3, 0x00000001, 0x000D9B7D, 0x00016BCA, 0x00000001, 0x000D9B5B, 0x000A1477, 0x00000002, 0x000D9B5B, 0x000386E4, 0x00000002, 0x000D980A, 0x000A0B89, 0x00000002, 0x000D980A, 0x00038C81, 0x00000002, 0x000D96C9, 0x000726EF, 0x00000002, 0x000D96C9, 0x00066FDA, 0x00000002, 0x000D94AC, 0x000BF675, 0x00000002, 0x000D94AC, 0x00019E37, 0x00000002, 0x000D93E7, 0x000A0F9F, 0x00000002, 0x000D93E7, 0x00038448, 0x00000002, 0x000D93D4, 0x000A8283, 0x00000001, 0x000D93D4, 0x00031151, 0x00000001, 0x000D9223, 0x000740E1, 0x00000002, 0x000D9223, 0x00065142, 0x00000002, 0x000D8FC2, 0x000B4B65, 0x00000003, 0x000D8FC2, 0x0002445D, 0x00000003, 0x000D8D6E, 0x0008517B, 0x00000001, 0x000D8D6E, 0x00053BF3, 0x00000001, 0x000D8CB8, 0x000D1057, 0x00000002, 0x000D8CB8, 0x00007C61, 0x00000002, 0x000D896D, 0x0009ACD4, 0x00000002, 0x000D896D, 0x0003DC99, 0x00000002, 0x000D884D, 0x000A5AC8, 0x00000001, 0x000D884D, 0x00032D85, 0x00000001, 0x000D86D1, 0x000B4DC9, 0x00000001, 0x000D86D1, 0x00023908, 0x00000001, 0x000D834F, 0x0009E9A8, 0x00000002, 0x000D834F, 0x000399A7, 0x00000002, 0x000D834F, 0x0008FCFA, 0x00000002, 0x000D834F, 0x00048655, 0x00000002, 0x000D7FDD, 0x000B06B2, 0x00000001, 0x000D7FDD, 0x0002792B, 0x00000001, 0x000D7F5D, 0x0009A26B, 0x00000001, 0x000D7F5D, 0x0003DCF2, 0x00000001, 0x000D7EE1, 0x000D1401, 0x00000002, 0x000D7EE1, 0x00006AE0, 0x00000002, 0x000D7BFD, 0x000AD8FC, 0x00000002, 0x000D7BFD, 0x0002A301, 0x00000002, 0x000D7AA7, 0x00078C79, 0x00000002, 0x000D7AA7, 0x0005EE2E, 0x00000002, 0x000D7605, 0x00084B5E, 0x00000002, 0x000D7605, 0x00052AA7, 0x00000002, 0x000D700B, 0x000BB06E, 0x00000003, 0x000D700B, 0x0001BF9D, 0x00000003, 0x000D68EF, 0x000A6C6F, 0x00000002, 0x000D68EF, 0x0002FC80, 0x00000002, 0x000D683B, 0x00080020, 0x00000002, 0x000D683B, 0x0005681B, 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0x2, 0x8f3b, 0x5898, 0x1, 0x8f3b, 0x36a3, 0x1, 0x8f16, 0x717d, 0x1, 0x8f16, 0x1d99, 0x1, 0x8e2d, 0x8214, 0x1, 0x8e2d, 0xc19, 0x1, 0x8d9b, 0x4ed3, 0x1, 0x8d9b, 0x3ec8, 0x1, 0x8d32, 0x6b83, 0x1, 0x8d32, 0x21af, 0x1, 0x8bff, 0x7f9f, 0x2, 0x8bff, 0xc60, 0x2, 0x8add, 0x72e3, 0x2, 0x8add, 0x17fa, 0x2, 0x891b, 0x5ffa, 0x1, 0x891b, 0x2921, 0x1, 0x8867, 0x7404, 0x1, 0x8867, 0x1463, 0x1, 0x8844, 0x4f85, 0x2, 0x8844, 0x38bf, 0x2, 0x877c, 0x5b79, 0x2, 0x877c, 0x2c03, 0x2, 0x8759, 0x4b4e, 0x1, 0x8759, 0x3c0b, 0x1, 0x8748, 0x852b, 0x2, 0x8748, 0x21d, 0x2, 0x8701, 0x7e8f, 0x2, 0x8701, 0x872, 0x2, 0x8671, 0x5995, 0x2, // was switched 0x8671, 0x2cdc, 0x2, // was switched 0x85be, 0x800b, 0x2, 0x85be, 0x5b3, 0x2, 0x849d, 0x5df2, 0x1, 0x849d, 0x26ab, 0x1, 0x8455, 0x64c1, 0x2, 0x8455, 0x1f94, 0x2, 0x83c3, 0x5002, 0x1, 0x83c3, 0x33c1, 0x1, 0x8333, 0x4d0f, 0x2, 0x8333, 0x3624, 0x2, 0x82c7, 0x78dc, 0x2, 0x82c7, 0x9eb, 0x2, 0x7ea3, 0x4b3b, 0x1, 0x7ea3, 0x3368, 0x1, 0x7e24, 0x7789, 0x1, 0x7e24, 0x69b, 0x1, 0x7d82, 0x4423, 0x1, 0x7d82, 0x395f, 0x1, 0x7cbb, 0x5c1b, 0x1, 0x7cbb, 0x20a0, 0x1, 0x7c1b, 0x59a6, 0x2, 0x7c1b, 0x2275, 0x2, 0x7b0d, 0x6c48, 0x1, 0x7b0d, 0xec5, 0x1, 0x7ac5, 0x4662, 0x1, 0x7ac5, 0x3463, 0x1, 0x7a69, 0x5593, 0x2, 0x7a69, 0x24d6, 0x2, 0x771d, 0x447d, 0x2, 0x771d, 0x32a0, 0x2, 0x7621, 0x43ee, 0x1, 0x7621, 0x3233, 0x1, 0x75a1, 0x4d58, 0x2, 0x75a1, 0x2849, 0x2, 0x7403, 0x691d, 0x2, 0x7403, 0xae6, 0x2, 0x732b, 0x7134, 0x2, 0x732b, 0x1f7, 0x2, 0x730a, 0x652f, 0x2, 0x730a, 0xddb, 0x2, 0x7276, 0x43c7, 0x1, 0x7276, 0x2eaf, 0x1, 0x718e, 0x4d11, 0x2, 0x718e, 0x247d, 0x2, 0x7135, 0x52b1, 0x1, 0x7135, 0x1e84, 0x1, 0x6f04, 0x570b, 0x1, 0x6f04, 0x17f9, 0x1, 0x6ecf, 0x4793, 0x1, 0x6ecf, 0x273c, 0x1, 0x6ebf, 0x675b, 0x1, 0x6ebf, 0x764, 0x1, 0x6cc6, 0x5ec7, 0x1, 0x6cc6, 0xdff, 0x1, 0x6b05, 0x5126, 0x2, 0x6b05, 0x19df, 0x2, 0x6abb, 0x452e, 0x1, 0x6abb, 0x258d, 0x1, 0x699d, 0x58f2, 0x1, 0x699d, 0x10ab, 0x1, 0x6930, 0x3961, 0x2, 0x6930, 0x2fcf, 0x2, 0x691f, 0x5eed, 0x2, 0x691f, 0xa32, 0x2, 0x6845, 0x6820, 0x1, 0x6845, 0x25, 0x1, 0x6823, 0x367e, 0x1, 0x6823, 0x31a5, 0x1, 0x66f1, 0x3a6d, 0x2, 0x66f1, 0x2c84, 0x2, 0x66de, 0x4b4d, 0x1, 0x66de, 0x1b91, 0x1, 0x66dd, 0x5917, 0x2, 0x66dd, 0xdc6, 0x2, 0x64fa, 0x3c31, 0x2, 0x64fa, 0x28c9, 0x2, 0x648c, 0x539b, 0x1, 0x648c, 0x10f1, 0x1, 0x6479, 0x4da0, 0x2, 0x6479, 0x16d9, 0x2, 0x63e9, 0x3d08, 0x2, 0x63e9, 0x26e1, 0x2, 0x637d, 0x4393, 0x2, 0x637d, 0x1fea, 0x2, 0x61ac, 0x4dd7, 0x2, 0x61ac, 0x13d5, 0x2, 0x5fa0, 0x38cf, 0x1, 0x5fa0, 0x26d1, 0x1, 0x5df1, 0x4b97, 0x1, 0x5df1, 0x125a, 0x1, 0x5d85, 0x5b10, 0x1, 0x5d85, 0x275, 0x1, 0x5d71, 0x2f08, 0x1, 0x5d71, 0x2e69, 0x1, 0x5c51, 0x41cf, 0x2, 0x5c51, 0x1a82, 0x2, 0x59cb, 0x47ee, 0x2, 0x59cb, 0x11dd, 0x2, 0x5995, 0x532d, 0x1, 0x5995, 0x668, 0x1, 0x5995, 0x389a, 0x1, 0x5995, 0x20fb, 0x1, 0x5896, 0x5135, 0x1, 0x5896, 0x761, 0x1, 0x57d3, 0x56a0, 0x2, 0x57d3, 0x133, 0x2, 0x5743, 0x3f8f, 0x2, 0x5743, 0x17b4, 0x2, 0x5743, 0x2e7b, 0x2, 0x5743, 0x28c8, 0x2, 0x5730, 0x2fd1, 0x2, 0x5730, 0x275f, 0x2, 0x556d, 0x4c91, 0x1, 0x556d, 0x8dc, 0x1, 0x5502, 0x3f8f, 0x1, 0x5502, 0x1573, 0x1, 0x54ef, 0x3b20, 0x1, 0x54ef, 0x19cf, 0x1, 0x54bb, 0x4544, 0x2, 0x54bb, 0xf77, 0x2, 0x53f3, 0x4c4a, 0x1, 0x53f3, 0x7a9, 0x1, 0x53e1, 0x2ee6, 0x2, 0x53e1, 0x24fb, 0x2, 0x52e7, 0x3a4b, 0x1, 0x52e7, 0x189c, 0x1, 0x52d4, 0x46cf, 0x1, 0x52d4, 0xc05, 0x1, 0x5257, 0x2c39, 0x2, 0x5257, 0x261e, 0x2, 0x51a4, 0x39cd, 0x1, 0x51a4, 0x17d7, 0x1, 0x4db2, 0x36a3, 0x2, 0x4db2, 0x170f, 0x2, 0x4d44, 0x2ec1, 0x1, 0x4d44, 0x1e83, 0x1, 0x4c93, 0x4459, 0x2, 0x4c93, 0x83a, 0x2, 0x4ba7, 0x3bd5, 0x2, 0x4ba7, 0xfd2, 0x2, 0x4b85, 0x3918, 0x1, 0x4b85, 0x126d, 0x1, 0x4b07, 0x31a6, 0x1, 0x4b07, 0x1961, 0x1, 0x4a3e, 0x3d61, 0x2, 0x4a3e, 0xcdd, 0x2, 0x4a2d, 0x4432, 0x2, 0x4a2d, 0x5fb, 0x2, 0x497a, 0x4421, 0x1, 0x497a, 0x559, 0x1, 0x4813, 0x2af7, 0x2, 0x4813, 0x1d1c, 0x2, 0x475e, 0x2761, 0x1, 0x475e, 0x1ffd, 0x1, 0x474d, 0x41cf, 0x2, 0x474d, 0x57e, 0x2, 0x4697, 0x3d2c, 0x1, 0x4697, 0x96b, 0x1, 0x4577, 0x22ce, 0x1, 0x4577, 0x22a9, 0x1, 0x4554, 0x3515, 0x2, 0x4554, 0x103f, 0x2, 0x434a, 0x3b59, 0x1, 0x434a, 0x7f1, 0x1, 0x42f2, 0x28db, 0x1, 0x42f2, 0x1a17, 0x1, 0x4229, 0x31d8, 0x2, 0x4229, 0x1051, 0x2, 0x4205, 0x2cff, 0x1, 0x4205, 0x1506, 0x1, 0x4189, 0x3a4c, 0x1, 0x4189, 0x73d, 0x1, 0x4163, 0x3745, 0x1, 0x4163, 0xa1e, 0x1, 0x409f, 0x2069, 0x1, 0x409f, 0x2036, 0x1, 0x4010, 0x3613, 0x2, 0x4010, 0x9fd, 0x2, 0x3ffc, 0x26e1, 0x2, 0x3ffc, 0x191b, 0x2, 0x3eb9, 0x2c4c, 0x2, 0x3eb9, 0x126d, 0x2, 0x3e81, 0x2761, 0x2, 0x3e81, 0x1720, 0x2, 0x3e05, 0x381c, 0x1, 0x3e05, 0x5e9, 0x1, 0x3d87, 0x1ffe, 0x1, 0x3d87, 0x1d89, 0x1, 0x3d18, 0x2c93, 0x2, 0x3d18, 0x1085, 0x2, 0x3cbf, 0x35b7, 0x1, 0x3cbf, 0x708, 0x1, 0x3aa3, 0x3018, 0x1, 0x3aa3, 0xa8b, 0x1, 0x3a81, 0x272b, 0x2, 0x3a81, 0x1356, 0x2, 0x3996, 0x1fff, 0x1, 0x3996, 0x1997, 0x1, 0x395f, 0x2188, 0x1, 0x395f, 0x17d7, 0x1, 0x3899, 0x1ffd, 0x1, 0x3899, 0x189c, 0x1, 0x37b1, 0x330b, 0x1, 0x37b1, 0x4a6, 0x1, 0x37b0, 0x2bcd, 0x2, 0x37b0, 0xbe3, 0x2, 0x35ca, 0x3127, 0x2, 0x35ca, 0x4a3, 0x2, 0x35b9, 0x2f41, 0x2, 0x35b9, 0x678, 0x2, 0x35b9, 0x24c5, 0x1, 0x35b9, 0x10f4, 0x1, 0x3355, 0x2166, 0x2, 0x3355, 0x11ef, 0x2, 0x3246, 0x24fd, 0x2, 0x3246, 0xd49, 0x2, 0x3233, 0x2956, 0x1, 0x3233, 0x8dd, 0x1, 0x3139, 0x303e, 0x1, 0x3139, 0xfb, 0x1, 0x3124, 0x1e95, 0x1, 0x3124, 0x128f, 0x1, 0x3005, 0x24ea, 0x1, 0x3005, 0xb1b, 0x1, 0x3005, 0x1cc3, 0x1, 0x3005, 0x1342, 0x1, 0x2f75, 0x1ab8, 0x2, 0x2f75, 0x14bd, 0x2, 0x2ed3, 0x2e9e, 0x1, 0x2ed3, 0x35, 0x1, 0x2e8a, 0x2933, 0x1, 0x2e8a, 0x557, 0x1, 0x2e7b, 0x2329, 0x1, 0x2e7b, 0xb52, 0x1, 0x2db4, 0x1999, 0x2, 0x2db4, 0x141b, 0x2, 0x2d35, 0x1d09, 0x2, 0x2d35, 0x102c, 0x2, 0x2a8b, 0x26ab, 0x1, 0x2a8b, 0x3e0, 0x1, 0x2a30, 0x2827, 0x2, 0x2a30, 0x209, 0x2, 0x2990, 0x1a29, 0x1, 0x2990, 0xf67, 0x1, 0x298f, 0x2178, 0x1, 0x298f, 0x817, 0x1, 0x2957, 0x23ed, 0x1, 0x2957, 0x56a, 0x1, 0x2947, 0x1842, 0x1, 0x2947, 0x1105, 0x1, 0x2838, 0x192b, 0x1, 0x2838, 0xf0d, 0x1, 0x2761, 0x18af, 0x2, 0x2761, 0xeb2, 0x2, 0x271a, 0x2395, 0x1, 0x271a, 0x385, 0x1, 0x26ab, 0x1b7e, 0x2, 0x26ab, 0xb2d, 0x2, 0x2651, 0x1f4b, 0x2, 0x2651, 0x706, 0x2, 0x24fd, 0x15e0, 0x1, 0x24fd, 0xf1d, 0x1, 0x24d7, 0x219a, 0x2, 0x24d7, 0x33d, 0x2, 0x23ef, 0x1f03, 0x1, 0x23ef, 0x4ec, 0x1, 0x23ed, 0x142f, 0x1, 0x23ed, 0xfbe, 0x1, 0x2394, 0x141d, 0x1, 0x2394, 0xf77, 0x1, 0x2339, 0x19df, 0x2, 0x2339, 0x95a, 0x2, 0x21f6, 0x1c8b, 0x2, 0x21f6, 0x56b, 0x2, 0x207d, 0x10bc, 0x1, 0x207d, 0xfc1, 0x1, 0x2058, 0x2047, 0x1, 0x2058, 0x11, 0x1, 0x1fb5, 0x1648, 0x2, 0x1fb5, 0x96d, 0x2, 0x1fa5, 0x1c79, 0x1, 0x1fa5, 0x32c, 0x1, 0x1ee0, 0x1867, 0x2, 0x1ee0, 0x679, 0x2, 0x1e83, 0x13b0, 0x1, 0x1e83, 0xad3, 0x1, 0x1e4d, 0x1b12, 0x1, 0x1e4d, 0x33b, 0x1, 0x1e2a, 0x178f, 0x1, 0x1e2a, 0x69b, 0x1, 0x1e07, 0x12b3, 0x2, 0x1e07, 0xb54, 0x2, 0x1d3f, 0x114b, 0x1, 0x1d3f, 0xbf4, 0x1, 0x1cd2, 0x12a1, 0x1, 0x1cd2, 0xa31, 0x1, 0x1b12, 0xf79, 0x1, 0x1b12, 0xb99, 0x1, 0x1aa7, 0x1172, 0x1, 0x1aa7, 0x935, 0x1, 0x1aa4, 0x19df, 0x2, 0x1aa4, 0xc5, 0x2, 0x1a93, 0x1691, 0x1, 0x1a93, 0x402, 0x1, 0x1a03, 0xd6f, 0x1, 0x1a03, 0xc94, 0x1, 0x1998, 0x166d, 0x1, 0x1998, 0x32b, 0x1, 0x18e5, 0xe35, 0x1, 0x18e5, 0xab0, 0x1, 0x1790, 0xf79, 0x1, 0x1790, 0x817, 0x1, 0x177b, 0xd5c, 0x2, 0x177b, 0xa1f, 0x2, 0x1734, 0xf1d, 0x2, 0x1734, 0x817, 0x2, 0x16c9, 0x143f, 0x2, 0x16c9, 0x28a, 0x2, 0x1693, 0x12fd, 0x1, 0x1693, 0x396, 0x1, 0x15bb, 0x1586, 0x2, 0x15bb, 0x35, 0x2, 0x1474, 0x1115, 0x1, 0x1474, 0x35f, 0x1, 0x140a, 0xb9b, 0x1, 0x140a, 0x86f, 0x1, 0x13f7, 0xf79, 0x1, 0x13f7, 0x47e, 0x1, 0x139f, 0x115e, 0x1, 0x139f, 0x241, 0x1, 0x12b4, 0x1139, 0x1, 0x12b4, 0x17b, 0x1, 0x126d, 0xc73, 0x2, 0x126d, 0x5fa, 0x2, 0x125b, 0xd82, 0x1, 0x125b, 0x4d9, 0x1, 0x11ff, 0xdb6, 0x2, 0x11ff, 0x449, 0x2, 0x1181, 0x923, 0x2, 0x1181, 0x85e, 0x2, 0x103e, 0xdc9, 0x2, 0x103e, 0x275, 0x2, 0xfd1, 0xd01, 0x1, 0xfd1, 0x2d0, 0x1, 0xfc1, 0xdc7, 0x1, 0xfc1, 0x1fa, 0x1, 0xf0a, 0xa43, 0x1, 0xf0a, 0x4c7, 0x1, 0xec3, 0xd48, 0x1, 0xec3, 0x17b, 0x1, 0xeb3, 0xbf4, 0x1, 0xeb3, 0x2bf, 0x1, 0xe7d, 0x7a9, 0x1, 0xe7d, 0x6d4, 0x1, 0xe6b, 0x750, 0x2, 0xe6b, 0x71b, 0x2, 0xe58, 0x871, 0x2, 0xe58, 0x5e7, 0x2, 0xd26, 0xcdd, 0x1, 0xd26, 0x49, 0x1, 0xd03, 0xa8d, 0x1, 0xd03, 0x276, 0x1, 0xc83, 0x7f1, 0x1, 0xc83, 0x492, 0x1, 0xbe3, 0xa10, 0x1, 0xbe3, 0x1d3, 0x1, 0xbe1, 0x74e, 0x2, 0xbe1, 0x493, 0x2, 0xbd0, 0x827, 0x1, 0xbd0, 0x3a9, 0x1, 0xbae, 0x829, 0x2, 0xbae, 0x385, 0x2, 0xa9f, 0x7bc, 0x1, 0xa9f, 0x2e3, 0x1, 0xa57, 0x8db, 0x1, 0xa57, 0x17c, 0x1, 0x9d8, 0x5e9, 0x1, 0x9d8, 0x3ef, 0x1, 0x959, 0x56a, 0x1, 0x959, 0x3ef, 0x1, 0x8a5, 0x61f, 0x1, 0x8a5, 0x286, 0x1, 0x86f, 0x69b, 0x1, 0x86f, 0x1d4, 0x1, 0x762, 0x71b, 0x1, 0x762, 0x47, 0x1, 0x751, 0x492, 0x1, 0x751, 0x2bf, 0x1, 0x73d, 0x532, 0x1, 0x73d, 0x20b, 0x1, 0x71c, 0x709, 0x1, 0x71c, 0x13, 0x1, 0x69d, 0x511, 0x2, 0x69d, 0x18c, 0x2, 0x688, 0x4d9, 0x2, 0x688, 0x1af, 0x2, 0x666, 0x3f1, 0x1, 0x666, 0x275, 0x1, 0x665, 0x57c, 0x2, 0x665, 0xe9, 0x2, 0x655, 0x545, 0x2, 0x655, 0x110, 0x2, 0x56b, 0x374, 0x1, 0x56b, 0x1f7, 0x1, 0x4ec, 0x3b9, 0x1, 0x4ec, 0x133, 0x1, 0x4b7, 0x265, 0x1, 0x4b7, 0x252, 0x1, 0x4a6, 0x397, 0x1, 0x4a6, 0x10f, 0x1, 0x425, 0x318, 0x1, 0x425, 0x10d, 0x1, 0x3ef, 0x370, 0x1, 0x3ef, 0x7f, 0x1, 0x3de, 0x277, 0x2, 0x3de, 0x167, 0x2, 0x3cb, 0x2bd, 0x2, 0x3cb, 0x10e, 0x2, 0x385, 0x2cf, 0x1, 0x385, 0xb6, 0x1, 0x2f5, 0x276, 0x1, 0x2f5, 0x7f, 0x1, 0x2bf, 0x1e7, 0x1, 0x2bf, 0xd8, 0x1, 0x2ab, 0x18d, 0x1, 0x2ab, 0x11e, 0x1, 0x275, 0x17a, 0x1, 0x275, 0xfb, 0x1, 0x21c, 0x169, 0x1, 0x21c, 0xb3, 0x1, 0x208, 0x1c1, 0x1, 0x208, 0x47, 0x1, 0x1b1, 0x143, 0x1, 0x1b1, 0x6e, 0x1, 0x168, 0x143, 0x1, 0x168, 0x25, 0x1, 0x143, 0xc5, 0x1, 0x143, 0x7e, 0x1, 0x134, 0x121, 0x1, 0x134, 0x13, 0x1, 0xfc, 0xb5, 0x1, 0xfc, 0x47, 0x1, 0xc7, 0x6d, 0x1, 0xc7, 0x5a, 0x1, 0xa3, 0x6b, 0x1, 0xa3, 0x38, 0x1, 0x5a, 0x49, 0x1, 0x5a, 0x11, 0x1, 0x59, 0x46, 0x1, 0x59, 0x13, 0x1, 0x35, 0x24, 0x1, 0x35, 0x11, 0x1, 0x25, 0x14, 0x1, 0x25, 0x11, 0x1, 0x13, 0x12, 0x1, 0x13, 0x1, 0x1}; unsigned short table[1228]={ 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 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