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random_seed_numbers.py
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# Random seed generated from rseeds = [rand.randint(1,1000000000) for i in range(500)]
rseeds = [356523377, 376321312, 474475577, 382401992, 250629018, 587166627, 754126070, 409921651, 690761492, 215404070, 477521637, 43887096, 320567317, 478344403, 798609112, 37957829, 632169239, 826463846, 998308051, 131891694, 465506854, 170981481, 97148054, 158792819, 922561949, 961162390, 243558708, 983836861, 942624449, 648152763, 184175836, 525266033, 626097299, 888909813, 746894213, 94519588, 817560275, 986723098, 245007650, 723722941, 491464310, 60688165, 422323905, 120315841, 233739086, 191723734, 665373838, 493651469, 897165854, 230207379, 566572265, 246293272, 443031450, 269497869, 197676698, 579722572, 918312738, 126528814, 420092154, 33915733, 888428727, 216946700, 455962944, 699771193, 778781117, 980022821, 820482728, 516346909, 472492672, 749572782, 23215649, 930634916, 345751708, 557854028, 850380312, 950434741, 688634029, 120569705, 828500648, 86086563, 426457178, 93507517, 936468572, 27628411, 536606244, 114934916, 213931413, 23303358, 290800382, 22580785, 713747821, 69092145, 169174184, 106150999, 21276654, 517708191, 194058519, 765686941, 869097564, 540514960, 462999619, 826559044, 298189227, 553530206, 433031596, 270719177, 802148499, 908682563, 205577366, 176872611, 873013812, 33890609, 42447041, 837285572, 751959162, 75619909, 608917372, 187357368, 6626541, 992441493, 473333961, 223684133, 213025468, 626898217, 949916436, 610879368, 836264688, 974234086, 409494489, 92485445, 306135832, 972373855, 826419950, 993038067, 690425632, 903633680, 993089226, 639842790, 948423661, 946884456, 886080953, 828608876, 823054270, 397826983, 437470387, 359822573, 627232056, 460180127, 474568154, 873945339, 809288069, 516197, 349900852, 258956828, 561776628, 143814355, 266383604, 806106038, 492358579, 643757610, 188721955, 880759800, 757607183, 549995687, 460638622, 331358837, 798174093, 930619341, 881309669, 899941271, 949888808, 161547692, 240052754, 864821505, 567151753, 584429246, 963334225, 654686555, 398910801, 15453657, 999918964, 27563252, 628914335, 398856412, 576372609, 674338715, 200389311, 192297258, 152478533, 725475420, 438038314, 257686519, 934943818, 435216374, 328760736, 623247459, 851636618, 281807841, 249345136, 662384573, 245236300, 686782027, 118699990, 117066466, 311566375, 974511044, 337870164, 153076698, 346266117, 543498913, 932180749, 545843291, 98604157, 857128348, 614923090, 285427654, 9955983, 806935982, 102754677, 171572318, 852671815, 108185733, 968265906, 171126543, 340614065, 368666063, 179250478, 971855516, 358367212, 154902722, 50114021, 401775122, 842229670, 131911665, 328110371, 341227121, 857764275, 555692976, 336484564, 725412320, 100115741, 462367029, 607855952, 240927067, 808820023, 661767192, 824461379, 568296890, 675051669, 467160662, 585305830, 51686620, 980878830, 231489753, 491013763, 235692660, 905629446, 380357511, 213339302, 574253758, 779020456, 886676644, 157653818, 431919797, 34841551, 479858443, 56067427, 491162921, 42497149, 363623318, 405545403, 935486079, 796963274, 115967021, 240231098, 681535404, 32340744, 560398511, 442571431, 148743060, 165953174, 304574249, 961997462, 594345754, 343437989, 342123958, 365132502, 210185328, 293856589, 713141197, 487173735, 744407890, 25291990, 333677055, 186702410, 397973716, 738368380, 233851896, 135330265, 484171138, 974266480, 243213727, 549688930, 403546239, 833426970, 56321024, 31364480, 752066731, 190503884, 973057885, 636035130, 214046803, 999286045, 519534084, 963661105, 386991021, 389737983, 144858679, 343789838, 623156527, 234461971, 933441035, 10284443, 677613346, 128769703, 688638397, 596118200, 717239354, 918078874, 855467063, 983972906, 861490679, 145990335, 96583289, 102540309, 220573105, 397519910, 23871697, 98328106, 860265708, 273775641, 557722094, 538641117, 51249577, 39557159, 6827425, 822696365, 174879577, 281307754, 609447811, 942017005, 386232603, 646010227, 20806123, 98805608, 51910411, 628620299, 194586166, 875600673, 374390943, 719868867, 667076041, 468782462, 684818072, 618624503, 583509695, 121632025, 260999131, 84113516, 648918496, 177926262, 875582154, 406000473, 761085261, 827171381, 561045226, 777007268, 38350420, 484499251, 930696893, 63513834, 79952079, 98037429, 406718416, 490348435, 14868924, 546933450, 182298019, 860242364, 678264915, 344532580, 179425737, 180280954, 703967816, 140942327, 518065058, 622744574, 996321945, 500751012, 597054461, 236168868, 822916633, 936014784, 423843254, 808847333, 698970975, 596984337, 527877718, 433464804, 463861193, 515865154, 406128879, 850893054, 224108461, 317979350, 414112384, 190938060, 188490305, 183933176, 677843516, 731620753, 359447984, 156166648, 820114918, 14060022, 870654893, 896771148, 87381852, 256427126, 559121797, 711889696, 635949816, 621160682, 102472625, 921056236, 545326840, 72331784, 540047944, 160307481, 358226568, 218683884, 559822353, 317296815, 163704508, 788179876, 734010918, 449881040, 789835366, 384799418, 24297570, 554124397, 906946109, 249224046, 644855459, 966035235, 574922649, 205399275, 124194446, 578657532, 981254931, 322705391, 720208355, 522342916, 339970502, 836033816, 136883292, 322494706, 124236987, 888222937, 765568951, 173994909, 75775466, 739533844, 843368811, 957450951, 325425707, 234370368, 474615487, 786394233, 541961905, 704597043, 56158801, 841604666, 89691273, 680505855, 820501941, 424400371, 421702680, 912798707, 561585149, 11641918, 868836806, 840674032, 560519600, 137320501, 8238514, 478542733, 464996236, 544874468, 11160516, 481740708, 351431293, 900384950, 198775476, 205503193, 103445275, 319765838, 227645098, 977369625, 43270855, 695431844, 220165413, 933769922, 858386842, 379763365, 789249573, 741500432, 604932973, 706919802, 979873120, 534760256, 616481172, 433365299, 88130322, 469142999, 126191405, 710620689, 265229184, 55872326, 345445591, 906957347, 745327435, 186619138, 46352005, 651060969, 259761676, 439364813, 255294645, 748866814, 964858802, 848304752, 277665307, 977802744, 359597375, 854156871, 617813563, 389585931, 66128135, 15479258, 224965983, 938166634, 238591586, 869895489, 252564448, 857199132, 373117219, 738276333, 372268024, 445196892, 207923385, 721243737, 349447654, 846949181, 424647124, 186369738, 289481834, 778164333, 438388407, 548939403, 882832497, 576274077, 860845533, 844473204, 805633491, 276379830, 749678354, 511194416, 936685867, 444767326, 149226091, 870706242, 555388814, 647953292, 212967673, 847213382, 777797680, 680180095, 524700155, 33720748, 810126497, 677861122, 47628442, 704979247, 560845805, 211686454, 704698521, 431550332, 443710939, 923951055, 881773249, 519408565, 727840131, 361109468, 397984624, 493534053, 37272966, 851742963, 374136517, 982796677, 662971087, 97385398, 474249131, 543540692, 647097071, 995347983, 371524778, 424461501, 539637127, 257340786, 782960121, 971990606, 681922761, 292155564, 677765015, 815858098, 70439231, 404559184, 85186986, 349092970, 3129432, 572643804, 768504792, 81411454, 788321579, 796756640, 803877895, 740355484, 289341836, 879935864, 758274826, 406482736, 322839575, 423084199, 28653806, 471965205, 820731903, 761950281, 192919453, 238357461, 48235943, 707255617, 309747575, 508347024, 12543517, 610766041, 671594713, 38549394, 746497498, 750527655, 635669818, 427234289, 486418185, 519114128, 126716410, 382518685, 363822960, 258595587, 386219680, 78364440, 416724535, 824413978, 152264419, 339707502, 823187821, 862859508, 991445890, 193689946, 180557651, 416731708, 514948549, 999918930, 449258033, 169496922, 270792272, 855578337, 182142981, 637819886, 494677790, 7684880, 897407016, 919537904, 920330208, 364200034, 269432042, 322290337, 567349532, 279712826, 916360158, 650543255, 202442094, 452238477, 6165471, 42170962, 759870091, 989423757, 81028162, 798732917, 780316455, 99278812, 927639837, 50091960, 607026544, 90158028, 500296655, 334362181, 462317157, 821574422, 854601806, 225746012, 272637130, 481336121, 773853550, 319093340, 338229265, 200029733, 996839667, 598874682, 38026148, 134747529, 606966773, 124830157, 429024082, 972959978, 454258727, 988022043, 318938039, 254744359, 490903302, 666169817, 383942546, 565496141, 938857122, 896324455, 527091682, 681860243, 530014777, 960274311, 359426236, 553487125, 885792913, 446747758, 356557597, 81010671, 520459194, 845508311, 310339208, 270864742, 704040909, 580764406, 963900065, 6649029, 456535761, 609286411, 818039423, 583186844, 529152215, 443575110, 531838749, 678898007, 678641994, 567821537, 216285329, 574212145, 81501985, 104448793, 196031831, 489567641, 99768024, 910162051, 363770123, 141360379, 801372489, 405172314, 115249426, 148014644, 960801753, 596306120, 781376203, 808177340, 545008632, 833453845, 521945253, 347545079, 215218210, 567632502, 424650071, 851878763, 653875320, 98961317, 694244573, 441152727, 348862326, 365589432, 364218811, 803356601, 762222623, 782914147, 242193981, 593392135, 482207201, 871517042, 864045904, 291543823, 446834194, 40119333, 845736944, 230568583, 687754948, 64206424, 660891979, 149769273, 439459274, 677892324, 886524807, 313684018, 992713524, 715953881, 820829313, 313305609, 953583777, 256984328, 336312973, 808357147, 895546066, 518901271, 362746342, 427654138, 357091046, 833279331, 977616473, 86832386, 2766263, 84447770, 499075448, 23426683, 342226296, 883633695, 537596482, 946265712, 312039872, 734273424, 557275415, 433940113, 888434370, 482975629, 754481434, 688805956, 777650864, 704316104, 820557090, 980678378, 736148996, 432755080, 596233281, 759074563, 362167720, 496907041, 959151862, 813850847, 59038451, 895883937, 377150289, 684796903, 122899061, 376435650, 30428874, 246967872, 950244717, 138285490, 44318675, 564169054, 61777487, 398526222, 14739779, 724847491, 324160564, 784134810, 138032784, 884824010, 52677453, 888645282, 536970993, 31663199, 598599970, 346356732, 824021374, 376290681, 373398410, 264315635, 187176910, 201532932, 713244945, 845954695, 785519249, 667510755, 785871056, 532217358, 357893845, 385144858, 829344851, 88037216, 980106057, 564886398, 915297492, 388158501, 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