Dada una secuencia de 625 enteros sin signo de 32 bits (es decir, en el rango [0, 2**32)), genera cuál de los siguientes generadores de números pseudoaleatorios generó la secuencia:
Específicamente, las implementaciones en C de estos tres generadores utilizados para este desafío son las siguientes:
#include <stdint.h>
/* all code adapted from the sample implementations on the following Wikipedia pages:
https://en.wikipedia.org/wiki/Linear_congruential_generator
https://en.wikipedia.org/wiki/Xorshift
https://en.wikipedia.org/wiki/Mersenne_Twister
*/
uint32_t lcg_seed;
uint32_t xor_x, xor_y, xor_z, xor_w;
void lcg_srand(uint32_t seed) {
lcg_seed = seed;
}
uint32_t lcg(void) {
lcg_seed = ((uint64_t) lcg_seed * 1103515245 + 12345) & ( (uint64_t) 0xFFFFFFFF );
return (uint32_t) lcg_seed;
}
void xorshift128_srand(uint32_t x, uint32_t y, uint32_t z, uint32_t w) {
xor_x = x;
xor_y = y;
xor_z = z;
xor_w = w;
}
uint32_t xorshift128(void) {
uint32_t t = xor_x;
t ^= t << 11;
t ^= t >> 8;
xor_x = xor_y; xor_y = xor_z; xor_z = xor_w;
xor_w ^= xor_w >> 19;
xor_w ^= t;
return xor_w;
}
enum {
// Assumes W = 32 (omitting this)
N = 624,
M = 397,
R = 31,
A = 0x9908B0DF,
F = 1812433253,
U = 11,
// Assumes D = 0xFFFFFFFF (omitting this)
S = 7,
B = 0x9D2C5680,
T = 15,
C = 0xEFC60000,
L = 18,
MASK_LOWER = (1ull << R) - 1,
MASK_UPPER = (1ull << R)
};
static uint32_t mt[N];
static uint16_t index;
// Re-init with a given seed
void mt_Initialize(const uint32_t seed) {
uint32_t i;
mt[0] = seed;
for ( i = 1; i < N; i++ ) {
mt[i] = (F * (mt[i - 1] ^ (mt[i - 1] >> 30)) + i);
}
index = N;
}
static void mt_Twist() {
uint32_t i, x, xA;
for ( i = 0; i < N; i++ ) {
x = (mt[i] & MASK_UPPER) + (mt[(i + 1) % N] & MASK_LOWER);
xA = x >> 1;
if ( x & 0x1 )
xA ^= A;
mt[i] = mt[(i + M) % N] ^ xA;
}
index = 0;
}
// Obtain a 32-bit random number
uint32_t mt_ExtractU32() {
uint32_t y;
int i = index;
if ( index >= N ) {
mt_Twist();
i = index;
}
y = mt[i];
index = i + 1;
y ^= (mt[i] >> U);
y ^= (y << S) & B;
y ^= (y << T) & C;
y ^= (y >> L);
return y;
}Reglas
- La entrada y la salida pueden estar en cualquier formato inequívoco y consistente. Si no está seguro de si se permitiría un formato, no dude en preguntar.
- Se garantiza que todas las entradas coinciden exactamente con una salida de PRNG (nunca habrá un caso en el que una secuencia de entrada coincida con ninguna o más de una salida de PRNG).
Casos de prueba
Debido a los límites de duración de la publicación, solo se incluyen 3 casos de prueba. Puede encontrar una lista más grande de casos de prueba aquí . Tenga en cuenta que los valores se proporcionan en hexadecimal.
[CEE63876, DE7E2E77, 54EC3AE4, 92DEBB4D, D0756602, EE9D3B13, 04A42150, 0FE8BF49, 2BD7E04E, BB96756F, B9B2027C, B5750705, 9DD5B35A, E23EF98B, D15ACA68, C1C40E81, 35ABAB26, 2DA1A367, 36462514, 3CA211BD, E79753B2, A49B0F03, B3EA7E80, 64630CB9, BC22F8FE, D535985F, 14B902AC, EE9EBB75, A831A70A, 79C55B7B, F7099D98, 98AC99F1, D9CB29D6, 53C43457, 04C6FB44, 43DFE42D, 05A80D62, D86DBEF3, F9DA87B0, 99839629, 017D9DAE, 0B1B574F, A5586EDC, F2966BE5, B709E6BA, A160196B, D16B9CC8, FF46E161, 3BDFB486, 4CE4E147, BE01BD74, 6A2F329D, 99F29312, C7044AE3, 9A373CE0, 73515B99, 94E2CE5E, FA26B23F, 2883470C, 3ED31855, 7809726A, 64DE335B, 79A3C7F8, 5379E4D1, B9444B36, 92C2AA37, 6A496BA4, 84E6FD0D, FC81E4C2, 470DB2D3, 4F839E10, 45935D09, C40D8B0E, B4F6A92F, FDEC8B3C, 1C8BC0C5, D99B4A1A, E1CEA94B, 17951F28, BAECA441, 3C13EDE6, 0CDC8F27, 4CB105D4, ED1E437D, 1E210272, B8F8F6C3, FB02AB40, 63D09A79, 4178D3BE, B3EA3C1F, 58073B6C, 10B76535, BAEA6DCA, 37807B3B, 11E2A258, 93061FB1, EB299C96, 00719017, 130B8C04, EFAC05ED, 385AEC22, F6F516B3, D4B76470, 915013E9, D45FA86E, C5206B0F, 6C06579C, 4C0D05A5, 9BE1DD7A, 7702A92B, 3DEF5188, E0ED5721, DA205746, 0080AD07, 05EBFE34, 3D27445D, 7D7AA1D2, 44F112A3, 9B64C9A0, 7118C959, 08BD091E, FC7835FF, A1DCDFCC, 1B03A215, 4D2C992A, 9324331B, 0FDE2CB8, C1894A91, B9531DF6, DDC8E5F7, 38A55C64, 59E6FECD, C88B2382, 409BEA93, C48DDAD0, F5F1BAC9, DF4BF5CE, A3909CEF, C43DD3FC, 55D23A85, A035A0DA, 5074190B, CA9233E8, D980FA01, 85DCF0A6, 96C93AE7, B94AA694, 0E02353D, 4D577132, D1649E83, AC759800, D261E839, 7D876E7E, 29C89FDF, 309C342C, D06FCEF5, 1727F48A, 35415AFB, AFAE6718, C53B6571, 3998CF56, 47C0ABD7, C0AEDCC4, D54FE7AD, 486A8AE2, 187A2E73, C61F0130, E8B051A9, DDAA732E, 143F3ECF, 072B005C, CA935F65, 94EE943A, 799AF8EB, 2F95C648, 88DF8CE1, 7B21BA06, 1AAE38C7, E264FEF4, 4F67161D, AF0F7092, 60CB9A63, CB4D1660, BAE3F719, 7EB003DE, EDD379BF, 5ADD388C, 5FB3EBD5, 0D347FEA, F74FF2DB, 196B5178, 00547051, 4DD2B0B6, 3750E1B7, 3CC00D24, AF9EC08D, DF512242, 0F07E253, EC82D790, DAC3D889, 1453208E, 372450AF, 6165DCBC, F7087445, 3464B79A, 19EF48CB, CB1208A8, 4F410FC1, C1C6B366, B327A6A7, A8D30754, 2D0DE6FD, 4FFA9FF2, 919E0643, 010344C0, 59D6F5F9, 370EC93E, 5690C39F, A337ECEC, B387F8B5, 2FAA3B4A, CEC7FABB, 612CEBD8, 510C6B31, A3D8C216, 81718797, EA70ED84, 728B896D, 4096E9A2, 50BD0633, B6D15DF0, 39644F69, 141DFDEE, 8837D28F, 2B86691C, E3E97925, 44F00AFA, 74E908AB, E71EFB08, 08DD82A1, 2DA3DCC6, 632D8487, E02CBFB4, 0EAEA7DD, 6970FF52, 9E53E223, C2B02320, DA72E4D9, 1D7BBE9E, CDF87D7F, B844514C, 72A3F595, 8AE126AA, CD21729B, 870B3638, 119B5611, B5830376, D71A9D77, B3597DE4, E3CE424D, AB93E102, A6119A13, 10229450, 6DC9B649, B9E30B4E, DF71C46F, EA24A57C, 55EE6E05, 98E88E5A, EA00388B, B9D49D68, 0DECE581, 5E913626, 09B7D267, 080A2814, 980158BD, C0CA8EB2, 5D652E03, F16BB180, 63EFC3B9, F4CEE3FE, 1A02A75F, 749A65AC, FFBFE275, 3731420A, 1FD45A7B, 771E3098, 183930F1, C8A974D6, C5442357, 2D11BE44, 051EEB2D, EBA00862, 737D9DF3, 4F8E7AB0, DD2C0D29, 2E7A48AE, 70CA264F, 4DD891DC, CDCF52E5, 0EA641BA, F4ACD86B, 654AEFC8, 32A73861, C066BF86, 61BE9047, 4C034074, A8BDF99D, A75F4E12, 4149E9E3, DA4DEFE0, 19859299, CBE0395E, 5CA7413F, DED22A0C, 7993BF55, 58F28D6A, 1058B25B, 097DDAF8, B71DFBD1, EF241636, B4E61937, 9931AEA4, 1435840D, 58135FC2, B97911D3, 382D1110, E8C35409, E6BBB60E, CC38F82F, 333A2E3C, 884427C5, 9081251A, 2C66E84B, F799F228, C7447B41, 8AFC78E6, 0239BE27, 83B008D4, 5C9C8A7D, FA873D72, 587A15C3, 366EDE40, 1A6C5179, FD87BEBE, 13DE4B1F, 29839E6C, BAD78C35, 207D08CA, 04267A3B, 02423558, BC81B6B1, 06CAE796, EAF87F17, E5514F04, 8ACA0CED, D445E722, 147BF5B3, F9165770, EDC78AE9, A37F536E, DDB63A0F, A2E17A9C, 7E04ECA5, 14D1387A, 44A6682B, 6AD9A488, 97FCAE21, C22A6246, 5E215C07, 32A88134, 0B550B5D, 239A5CD2, 4D6DB1A3, 2AE67CA0, 81DC0059, 309D741E, 199FC4FF, B346C2CC, 5A434915, CA28B42A, 7CB5B21B, 11833FB8, 729C6191, B975E8F6, 887354F7, AB089F64, 1E9485CD, CF8F9E82, BCFE4993, 2D624DD0, 4570B1C9, 719D20CE, ED39EBEF, D16676FC, 63C9A185, 9DEE7BDA, 0CE3580B, A52206E8, ED07D101, 35C87BA6, C46D69E7, 8884A994, 489F7C3D, 17F0AC32, 669CBD83, 48CCCB00, 670C9F39, 57F9597E, A3E3AEDF, 06B3972C, AA8EF5F5, 9E4D8F8A, 177E59FB, D358FA18, 9FA5FC71, 7CFD1A56, 8A4E9AD7, 2FEF9FC4, C14CEEAD, 454885E2, 87780D73, DC28F430, 44F6C8A9, A9ED1E2E, 9EBC0DCF, 1F61235C, AA4A4665, 3A30EF3A, 7095B7EB, 788B1948, 8A9DE3E1, 81AEC506, 6015E7C7, 60DC81F4, E433DD1D, 58E22B92, 867F3963, 8D39C960, DD362E19, B2736EDE, 44A208BF, DA621B8C, BA7292D5, F1439AEA, 8DF871DB, CFDB6478, 85D68751, 93387BB6, C98250B7, 659E5024, A0AB478D, BCC89D42, E4614153, 78824A90, 3D91CF89, F1474B8E, F2349FAF, 19697FBC, 7E3EDB45, 03F0929A, 773587CB, A32CDBA8, B0F6E6C1, 0DB53E66, 3812D5A7, 43480A54, E9CA2DFD, F3C6DAF2, 2B8D2543, 614577C0, F390ACF9, CAE3B43E, E9D2D29F, 10EA4FEC, 54A61FB5, 2362D64A, B59BF9BB, 7B227ED8, E3660231, 0A000D16, FB067697, E9ACB084, 2667906D, 4967E4A2, E031E533, E18650F0, 7C79C669, 3883A8EE, 439BA18F, 78178C1C, C85F6025, 218565FA, 443AC7AB, CF1F4E08, 1C4AD9A1, 0DB3E7C6, 2F5C3387, 635F42B4, A11A6EDD, 81F6BA52, 703E8123, 9A07D620, B5541BD9, 7822299E, DD6E0C7F, B8E4344C, FFE19C95, A10341AA, 7FE0F19B, 35464938, F28C6D11, BB2BCE76, AFD30C77, 05B2C0E4, F839C94D, 8A7E5C02, 2361F913, 624D0750, 4AE6AD49, BC7A364E, 4AE9136F, 2003487C, 2D63D505, C547695A, 171D778B, 927A7068, 04D1BC81, 8182C126, 04EA0167, A0BA2B14, 8DDC9FBD, 28C9C9B2, 0B0B4D03, 7898E480, 29B87AB9, DD06CEFE, C56BB65F, 0CE7C8AC, FEDD0975, E27CDD0A, FA3F597B, 4A5EC398, 6981C7F1, 4C93BFD6, 54E01257, AF488144, F7D9F22D, AB640362, F2697CF3, B1EE6DB0, EE108429, 0602F3AE, 1C14F54F, 21C4B4DC, 0E0439E5, 2D8E9CBA, 4B55976B, 6F5642C8, 1EC38F61, 34F9CA86, 53B43F47, 86F0C374, 6FC8C09D, 99980912, 4E6B88E3, AA10A2E0, 53F5C999, 6869A45E, A3C3D03F, 738D0D0C, 50506655, 6C27A86A, 4E2F315B, F283EDF8, 7A7E12D1, 300FE136, 33258837, 8805F1A4, 43000B0D, 6370DAC2, 2DC070D3, F3828410, A72F4B09, E9F5E10E, 2717472F, B9F3D13C, 86F88EC5, A4B3001A, 585B274B, D3CAC528, 9A585241, BFF103E6, 92B2ED27, 4D9B0BD4, 4296D17D, 11B97872, 28D734C3, 47871140, 33440879, D522A9BE, D66E5A1F, 7F6C016C, AEF3B335, CE5BA3CA, C128793B, 51CDC858, D3B94DB1, A3783296, 6F9B6E17, DD831204, 336413ED, F5FCE222, 51DED4B3, B6214A70, B37B01E9, 892AFE6E, 37E8090F, 51289D9C, 70F8D3A5, 810C937A, D1A6272B, 19EFF788, 23C80521, 86406D46] -> LCG
[7D17504D, 9FED269B, 939C3D03, C8FCFA6C, 0FAE4E06, F9816896, 8B872680, A4878206, D92436EE, 2B133084, 9912A040, 011D96D6, F976435D, 4B53DBE7, 474F626D, AA09E774, E12E35C3, 347746E2, 0817160B, EDC0623A, 7DD0D26C, F31ECB62, 43093C44, AD3657AD, 568EB3D5, 53CE27BD, 592FDA9C, 46BB652B, 65886632, 475956F1, 60859FBC, FD8A3CBA, DB156CCF, 56764782, 1A424A8F, B681CA91, C682BB9A, 222CBE9F, 2A329E67, 925F0CF2, 41D22B48, 064DBDAB, B832DAA3, D26069CB, 023890A4, 69F3D5AD, 473AFDF2, 96C5EAEF, 50BEF523, A7171C24, 3752B059, 8E79B6CE, 29C95DCF, 362092EE, 94523C0B, D7DE2789, B49A3F98, 861F7C07, 83A8BAAB, A56C2738, C06FAAF2, BDED09BC, 7B568148, BFC73CFD, 024229CD, D73760D0, 18A4E7BF, 9E021082, 8D1D4ECE, E1408E5D, DEE614D5, 50EE898B, 37E2D666, D23584A1, 3C9B628E, 181D1647, 396DA2C4, 470339C4, A06BACB8, 503439DC, 041BCA9C, 5A881EC2, A77B7747, 567040AD, 8CE52FD5, 96814E85, EA3CD25D, 3E9D929F, 9BA3891E, 07CA0989, 0B689D17, D9B3FF8F, 5EDF76DE, 090EBACD, 46C11EDE, 00C8DE0E, A504314F, D9A02FF0, 97D9EDF4, D1A769AF, 55ADB49D, 8DAACE77, D544247B, 3F44C56D, 07759744, DC7738AB, 28E4B8A2, 31927F7E, 9AF601BF, FF21C02A, F20D56C4, 50C6AE74, 7A17A62A, 8BC619D2, 13E5C518, 76357C1E, B1D4A204, 0A673565, 3797FC34, EA9FA354, FE4FF881, CDB03630, 454E05EE, 52DC8B10, D3D6FA3A, 9F9B57C6, AACF50AE, 1CFDCAEC, 789EE463, 3DFEA9D1, ED64C4E0, 1F3CD90A, 900E9B72, 58761883, 93FE94A9, 6AF3FB55, 8EC22872, 66988B29, 01A4008F, F4787ABD, 6B665DF8, C905527E, E88493A9, DF1EB196, 86CEBE10, 65BB9A15, A96E54D0, 83D6D26A, 701BC23E, C9C9951A, 12DA9027, 27AA5594, 890E696D, 0CEA5C13, CA77AE01, BF04442E, 45BB17A2, 1BEFD1C2, 6C9F7318, F1276F91, 6CBC7010, 09B8DD84, 9E286818, 54B9C7AB, DB0A01DC, 1491B3C4, C92471E6, 533A73F6, D8B59CAC, 41231BED, AB62F96E, 2B478A37, 5F63230F, 06C6A77D, BAD38742, ADD2B41D, EBEF81F3, D8212EBC, FEEE4B6D, C6A47AF1, 51D39BCF, 80560B87, 0C6F8DC3, E9F90D4D, 2439FE5E, 1403C36D, 647255BB, 45C0AF1D, AEE062F5, A4F2C4EF, 52DB8247, 12237746, BF79483D, 8D9E3681, 03D954CF, 0A498AB5, 7F041361, 0352083E, CAE45BB7, 8CBE7C7C, D37EE991, 40FE1838, A82FCA73, D70D1E96, F31B5787, 4394AE04, 953E8857, 2A78CDC8, 03F6006F, E5F46A9B, 84E93A42, 6813B19A, DB55318F, 9DB338CC, 50453A12, A52FCEE1, D7844A82, D3F57DE6, AA195820, 719AD344, 84BF57AF, FCDD1093, 9C658F70, 3BC26F4B, 45BE45B3, 51F39C1F, E15D875E, C9CD1409, 7EE9435E, B3373BF8, BE5D3DB7, 1F911B29, 2B565836, 21B44E5F, 76537F5B, E18C6AEB, 78820904, FBC776FD, 16836779, 94DA8C70, FC787DC6, 3CC88C2A, 317D9C65, 71842F36, 4E2DFA8D, 36FC86BE, EBBFAAB0, BB12D56E, 9ACAA913, 48D10582, 5E2DCC02, 73B9DB0C, BCF46659, 7CC99950, 4CB40717, F168D436, EEB1A2EC, DE82A573, 32E28D0B, 859C2605, E6595298, 2D3BDA1D, 0B978064, 6F5F231D, 43BE71FC, B0A6A0A4, 07858274, 91540E52, 21D5BC15, A4F39B0B, 8F4E3BC3, BE5992E6, 32E0A42C, 0AF34AB8, F49DF806, 86218AD1, B1D79FFD, 21E1A5F5, 3AA73407, B05A4680, BD7F0F01, 919DDB56, 9299C26E, F095F8FB, B5D7E6EF, CAEFDC68, 9639FDE9, C9349DF5, C3DEFAA2, 7766722D, 2EE91F9D, 435FF480, 77601DA3, 33D3FE78, 55A01A68, E9E71FA8, 9E1D8A32, 329187B7, 67B7A8D7, B67CE1D6, C442A131, 7A502A31, A07BC4BC, F158F334, 20C28F07, DB38288C, A5184973, 93EFCFB7, A761D07A, BD07F052, DA336550, 374C9BD6, 9E077F45, 1C0089B7, 5D587682, 0E99C4D4, ABC16F15, B39406EB, 2DE69A7D, ED994471, 4D802710, 5E30D315, 471C9FDC, 6081E182, 2C75F225, F40524C5, 5744A7E6, 38A6D17D, BBC1E896, 663FD027, 14363091, 1A152653, AE24F8DF, 3602BBD4, 9315B73D, 20813CB2, A9EADA7D, 8A15088F, B487EAAF, 9DCA3421, 620C2CD7, 407F0169, CB26495B, 07810722, 04E8F991, BC24C42C, 45B12E62, 4A0689E1, 0961D541, 93FE75E5, 5FF09BC6, 21C75858, 260B4AFC, 463A4285, 9DCFCF2F, 86D14156, FAF1A7DA, 6E4BFC6B, 8D1EF03A, 81C9CB3E, F67163AA, C7E871AB, BD0DD64C, 72526AE8, 0F433B3B, 8BA27651, 58CE6EDF, B92A4A04, AFA624F9, 372EDFA2, 1CBDF70E, F72CE4F7, 69339707, 28A1864C, DB5701D1, 4BCC4D10, BEB260C1, 9A0502BD, F93FC1A5, D0B2B75F, FD2B71E0, 4F899412, 48BC46AF, 0DF108A8, ABF3DC87, A8D9E4EF, 02FA4665, 87CBBADA, B2E95940, D5702D6E, 056990CB, DFAEE7D6, 2775863A, 733AC4E7, 3A9CED83, 92A42D51, 196B2D69, BCD3CF5F, 61FEDDB3, D283BA78, 92C3C524, B0484914, 27CC09EB, E8532710, 643535DB, 96C7D0A0, D10310C2, A019C655, 6D4FA460, C5A53BB9, 0CE9A6CF, 62ACE269, 72D026F8, 9E44A3E8, DFDAB131, DA60BF09, 2974A55B, 9294187E, 98CD6024, 478A1CC3, CB583714, F93D91E9, 0A0202AA, 1D796B2D, 17931F01, 023476C3, 1839337D, CECF1354, 412B769B, E0089213, 317BF7B4, 8798177C, 9D1D36BA, 3921B700, D70921C7, 906DEFAD, E4B1B3FC, D01C81DD, 4E858500, B16A1BFA, D82D7078, EC0B10C9, 8EC425CD, 6F904A24, DC8D591E, 68B4971E, C7F13D88, 2ADD8E38, 9C2E67D4, 50EE1F28, 1EBD75C0, D8D79461, 37285868, 171F16FA, E2F972AC, 86E9860E, F37765A3, 1C3015F1, 357568C9, FF66419F, B77479AD, 2B776D2F, B5DA7BA8, 787DBE35, 6CD01986, FC5E1F26, 9A3F3C3E, 0F26B55A, E3D68111, EF7D1562, 8CC01A7F, B676E2D8, E1FF230E, E62EEC56, 6AB1010E, 6BD04EA2, 732FF785, E2F2E9EA, 00A93DCB, E9E5C622, E57A9744, 90B28FB8, D9BCBF00, 1EAFA6C3, 2F5ED2E5, 2B9557F9, 17EDA934, 74178CB4, AD07B129, 2CAC11EF, 5672B947, 9EC8ED11, 0ED68918, 42B9C244, 81C2F3D5, 58BB2699, E29FFADF, 6EB8AF2A, F872A573, 797CDB0A, 64289FF8, CF42ADA8, A276D00E, 3D4DEBC1, 1DBA64CF, C74FA53D, D3ADEB7A, 81EC012D, 4FBE91C3, F562B344, 492860A9, A82CE5C8, 13A74987, F3BF2024, F9983BD2, 3655838C, 1F971FB0, 1523A266, 2D5D4DBB, B78EE27F, 104301A1, 187BA15D, DF8C077C, 1FD19BE8, 1797DFBA, D223E55C, 6D2BAF83, FEB67715, 57750D76, 9AB10BC1, AAD6F8A3, E7953C33, 1874830A, 0A896CC6, 17879ED4, 59BD4CB3, E56DF85D, A4C3576A, 8F990C18, 3CF2118C, B6D7A95F, 0811C0E8, 4FAFF43E, E37DF236, E8EB2257, 6E7BA922, 5E45AED7, 52A50B6B, E3ED62F2, 506CF514, 232CDAD8, 59A87385, D1DA70B0, E629FBCA, A39607CD, B9B87C61, BBE5C416, 12BB8F0B, 01004AFE, 7B2165CB, EE71DBCD, 207CD2DF, 23283B94, 53570D07, 33981B13, F5B4DD95, 9722AC2C, 7CF6B4FA, 8F4578F4, DC4E44FC, 5E8FD095, 9717EEDA, 3331A614, 9DF66D2A, BDDD0D79, 95944526, 2B2B5086, 059AF7F4, 507984FB, 67F346A7, 162D85BF, C4DAF5D9, 5818EFE5, A5235C3F, DF593559, CC3E6756, 53C6DEF3, ECBBB210, FA5EA123, C5656DE9, A03102F0, 912B0FD4, 9E73F36B, 7097CF69, 58996509, 91059461, 90ECC581, 5ECEBC72, CDEC2B8F, 70F708CF, 86C10B9D, ADC71A1B, 01DBEC7F, C9A22DFB, 47B14AB1, D233979E, 0C5521B3, D4401837, 196924CC, 57A8CF18, F25524E7, 26001B3A, 761F1472, 67DEC5A6, 3CF7A7A6, 1A08B2C9, 943A897E, 05589DAA, 8413C030, DBD2B481, 9BE3A7FC, 5A97CCE7, 409F95C5, 0EA757EB, 88FDCD84] -> Xorshift
[4BB6DADF, 8EEF8EA3, 06E8FD49, 88A2AF49, E3269CD4, ECA4F09A, 3ADC8EFB, AA4DD059, AC3B1AAE, DA22C244, B67C2EC6, DFD9C12F, B4A6DBAF, 354C372C, 2C6CA407, 0AC93693, 725C7716, B439DF25, 7C04626F, 67824F17, 21EE364D, 77D8D72F, 4BF90371, 7BC3C716, 472A4204, B842AEFE, 38270462, 3B17B189, 22760085, 2A801D85, 8DE334B5, A72580F7, F187AA9B, 2E04DC0C, 8A701C0D, 471B61E6, 98F859D9, 9EBC2F45, 02544E96, C2785B15, 20623FAB, 8001F9B4, 0E438545, CFA2A2A5, 9DA35720, BAA84901, 908758C8, FCF5557F, F905B3B4, BE7DEBCD, FED08B1E, 7E9472CB, AC3A29C1, 5BED194F, B6932F25, 1C95E32D, 67E94371, D7CCB4CE, DF296D87, 6AAEF0F6, 8CFFF867, 093F9F79, FB280F6C, DE7735A8, 684C17B5, A0DA757E, 374EC162, 1764A62D, 82C244F6, 9E4583C7, 56F02388, 0018E400, 815A0F1E, FD80C932, 30EDD175, D37AF8D8, 7C8E4633, 7D8E4E5D, 660A7F79, 4C2C08BD, B6656A5B, CCFD6607, B0AA17FA, 060EE305, DEE9752F, B38BE439, F04EB964, D4E6C330, DCD4F7AB, DF7D83BF, 309047C6, 51FFC819, 9E59C7D6, 46821973, 01B47792, F800809B, 6050BB64, C13CB495, A305F788, 7AD27279, B7F9151F, 9F154C4F, D3F688F1, FF830866, A9C059A3, FFBF160E, EA8D827A, 1F1DA6E8, FDC52EFC, 5325CE11, 765B86EB, A852DC5C, 74ADAF62, 45BFACA5, 8E1FF6C3, 83ADCF0A, 91D6626E, 316008CC, 0DAD4110, C28EA37D, 5F077B03, AF70C5E3, 13A7C50C, 0A737B9D, E236FCBB, DDADB0C5, F4CAA3C8, 73679470, 87AE2E8E, EAA6ADA4, F30CCA79, 2B2FED65, 9B55A25D, 7317A6DB, D505929C, 0F90C693, 5CED397C, C1CB0AB9, C81895F1, 828D68BF, C2D0D855, 70585D86, 1ACD41B1, D8227B76, 1CB6DD69, B71EF185, 3EB11656, 6674378A, BA543682, 895A464E, B9E6CC48, FDAB6657, AB815F3B, A717AF55, 5826ABAB, 7CAF7DA1, 33EB26C0, 9367A48F, 32334888, 6BD35F76, 21F56A13, B7E72B51, 2B110FC2, A7A6ED6F, 1B2E72D1, 855EC1F3, A320F92E, 05609603, 5AA26082, 937BB417, F7A082EF, 370690A8, 074B4C00, EFB2EF14, A449B9F8, 9AA7E8A8, 3AEC4108, E5DDDB2A, C2CC4D30, 8589EB3D, 030ED83E, 4230E9B3, 619B03C0, E2B2BB64, 839A7C40, 2527B162, D03987D6, F8D66424, B950968F, F41E4D21, 9BAEEC89, DB8C65CD, D19F0371, 42507672, F133D6DC, 8FF10301, 6267E094, 339A1D5D, 3DD9DDE3, 139AA839, 440F8A94, 5E10CEAF, 60A1BA78, 02576968, 9AE7D81E, B9BF647E, F1698EC1, 5EC4890B, 88CF1A87, 9F3442AD, 4ED7DB9A, 08BD20C4, DA4B2F8E, 7EE018A9, 41968817, 519BE32C, 26CC3EFD, 1C3CBCBB, 551FC090, D06676D9, 02BF4E3F, 5B331917, AA121020, 840B84DD, 1C04DB26, 42DC049A, 58E92781, 95DA8984, CEDFF185, 149A43E5, 9B4CAAE7, 9E61CFFC, C33F9485, 2ABFE975, 75F8E915, 167D7A60, 1086ABF9, FE0B87DC, 095EFA20, 79FC720C, 99DB743E, 8F4B2F19, 00A9188A, B5DE7C2D, DAF3734B, CCAD1F47, 0C9DB549, 0158D55C, BCD5F151, 72A210D9, ABB80C09, 99934B39, F92DF281, A35193BD, C3CB4E8B, 322DBEE4, 26E2E30D, 36F25EDD, F1C8C5DC, 44B5C836, 878075ED, 1140849C, DEBA2848, 6B8D4AD7, 0209883A, AEFFDC8B, F7862944, F2CAE4AB, 77A1EB21, C77D6350, 4749AA23, 1ECDFD3C, 55D6943C, FC9B102A, 80363E80, C28E5369, 7E4BDC16, 8DDD321E, 46E4B844, 71169596, 6EC788CA, 508E25D4, A3249379, C5493848, 67ECFFDB, F6B03518, D4FE2A7D, D6C8D739, 7A93EC17, 84E2A797, 08CB6F22, D09D5BFF, 7FF783FD, 749A4AA7, 9EE69739, 01BB87ED, CDB15087, 32FE625F, 3C8E72C6, 2386A26E, 0F243847, F9E50890, D10F1EC5, 6E1C032D, CE27B59B, 84F2447B, 62AFD23B, 2361B77C, 1532E2F5, BC65F691, D8106771, BC9F8553, 94B67790, CE7F4B32, E36DAA85, D42336C1, 414ABF42, F5D5E7FA, B17620A4, D42A5D6C, E1118425, 17C4B3F2, EBDCB06E, 1F8F7F65, 0AD89423, 32848E5D, 0A5028D0, 463B71B1, E896017F, C1DA750C, DB89FC54, AF665A17, 11F5A446, 45F2DD58, 9C66340A, F4DB1D19, 87AFFD89, 75CA495D, DE608110, 78EC9F5C, 7840FE7C, 6F4DA231, 1CF2E830, CD521794, CE4F5EBA, 79B79437, 5A91D18E, 95F1D139, D9CA1102, E3822EB3, F7C52D20, F917AEEE, 5EDCD7BF, 4BD3725C, 94EE3441, 713CF5DF, 937E1AA9, 08926562, 084E8DD4, 41100547, 1C706FF6, 2ED60298, 0D2E30BA, 82FECB1F, 831BCCE8, 0CB829DB, 0C522998, E0AD92F6, F8969EA4, 386650CD, CA41F763, 7BB34065, D79B9F81, 967FBB17, 7C2F61B2, 7B4E9B33, 8359EDDA, 3201D25E, 5F41BAA6, D94A1FD8, 6E29F112, EDB7885C, C4F4380D, DAD428C7, 40609A88, 66DF9A6C, D61B84E4, C4C77436, D6F4B201, 1C0AD2D4, 3A69D216, 1DD70F43, C887E79C, 8579D94E, F2D069EA, 17B4926F, 55BE153C, A783F442, C03D53D2, 5ED56627, C114DB61, 9B0BFD2C, 825DDE34, 97523F35, EE476E00, EB2ED50C, 567BB078, 9B70520D, DC96668B, FCFD7253, 0197E3F8, 7785825E, 0B00322C, B510F809, 51FB92EE, B6F7D331, 2DE0AC32, 00B41A7B, A432B1FE, 94ED9578, 4B56F086, F8BEADE1, 8C899DF2, EAB17808, 240BF736, 7CBA75E0, E06E352C, 3BBD94E5, 427CB86A, 31CB345E, C1226EE3, F9F4697B, 8820CBB6, C3F9BB4C, 509D403F, 03990E8E, 6C5CCD8B, 24F235C0, C5FC6E59, 05E627C9, 4B0C0C96, 45A35E8E, BBF14335, 89B957A1, 3E272204, EC501927, 00ADCBC3, 13DC9199, A682B338, BE42D97C, F97E0F28, 8C1A6128, 76ED6951, D7D8B74F, 80A6C9D2, 87111413, 48268EB5, 69DDA6F7, 8900B2E1, DBF809E0, D50D7B42, 9716581E, A7AE9B6E, 52366624, 85BAF9A3, DE28F70A, 890E37EC, 7F82541D, 9BA2C144, 8766E737, EA8B0E73, 6BC46E1A, 04A2D3E8, F01716BB, 3D0F7338, 93282BAA, 3A9E51C0, 7B26AFBD, FA2B6A90, 36DD5832, 18161A71, FDE783A2, FF84185B, C251868E, 957CA33D, 6D2BD402, F7E61B15, BAAD0068, 8413463A, 63F0F132, 55FBBC6A, 58E3298D, 845AA664, 02D242A7, A456CEED, 2C198D04, 89A25422, 3A4CABFB, 9D24D792, DFBB850F, 76E30332, 58B59723, 1B1A6913, 9FB961E8, B363CA07, 9CC01B66, 00E9E1DF, 9AF48078, F67167D2, 5D8EBE54, F0819D2D, A003D04B, BD20E32A, 7647BD73, DE509593, E381BF67, BB5D56E0, 675636A1, 983C7C47, C7D92CF8, 335F0477, A6EE6787, F2A67D0E, 29D7F83A, 3DA85C1F, 8E31E016, 5FBEB7EA, 01F017A9, 021B93ED, 8E2AE731, 3391B82D, 6AFEC318, C1E9610D, B50DE358, 46E16C1F, D7A03E8A, 74E52044, 4797BCBC, 49FC24BC, 119F71CB, 51ADB9AC, 1F7A8641, 373911A6, 79424584, 2D69A297, 32859E0B, FF812B02, 2060307E, 6AD9173E, AFCB84DA, 4F5B70D0, 34A63D93, 6DBD6388, BBD76CFA, 94EE5483, 20214C3F, E45B9B77, 8B3192D9, 109D8CE6, 8EBA320B, 53FA8CE2, 56A4A45A, 61AB8FDB, 3ABFD0EB, F92E5F91, 3CBA25FE, C2E19318, 2E5DC1D6, 751C25DB, 572BBA47, DF53AB19, 407F623F, EB9E4EE6, C98E9BFD, DA77A48F, 79D4B4D2, E4320563, 2C1C4BA4, CDCCD4A9, 5B74662F, 3B74B8C1, B1792883, 88D53BDA, FDFAB951, D2D3F844, 199D47E1, 7500E432, B0C714BD, EC5CCDCB, EC949808, 9B39D67F, 15D138B8, 17FE54A4, AD28C768, FE473BF7, AE29CB10, C987A478, EE50D094, 10ED5447, E2BF7CCF, BDD93708, D57E6C1B, 01079D4B, 6C6C547F, 363A37F3, 6D4D828A, EE1622DE, AF1D8240, B068E4C1, 9C5901F8, 17822119, 3C7837B0, DEFFD993, 28FA9C3A, EAADDC4E, 05705400, 0046CB17, E843346D, 2F33C418, AF1A47BD, E4C12B9E, BC3F9B15, 01E90C74, DE0C8A00, 5D52587A] -> MT
Respuestas:
Jalea , 23 bytes
Toma una serie de enteros; devuelve [0, 1] para LCG , [1, 0] para Xorshift y [0, 0] para MT .
Pruébalo en línea!(El enlace permanente puede ser demasiado largo para algunos navegadores).
Fondo
Lo más aleatorio sobre el LCG es que se considera un PRNG. Para empezar, los k bits más bajos del estado no se ven afectados por los bits más altos de 32 k , por lo que es una opción excepcionalmente pobre para la mayoría de las aplicaciones. En particular, el LSB de un estado actualizado solo se ve afectado por el LSB del anterior, y desde 1103515245 y 12345 son impares, los números generados seguirán un patrón par-impar-par-impar.
Los defectos de Xorshift son más sutiles, pero los bits generados siguen ecuaciones lineales simples. Dadas cinco palabras generadas consecutivamente w k , w k + 1 , w k + 2 , w k + 3 , w k + 4 , la (ecuación no lineal)
w k + 4 = w k + 3 ⊕ w k + 3 > > 19 ⊕ w k ⊕ w k ≪ 11 ⊕ (w k ⊕ w k ≪ 11) holds 8 se mantiene por definición. Si enumeramos los bits de las palabras ( 0 es el más bajo, 31 es el más alto), podemos observar que la ecuación (lineal) w k, 20⊕ w k, 31 ⊕w k + 3,31 ⊕ w k + 4,31 = 0 retenciones. Para verificar esto, es suficiente observar que las palabras que se han desplazado hacia la derecha no pueden afectar a w k + 4,31 , el bit más significativo de w k + 4 .
Eso deja el Mersenne Twister. Si bien existen mejores PRNG (más rápidos, menos sesgados, o ambos), identificar los datos generados por MT19937 es mucho más complicado que con LCG y Xorshift. Afortunadamente, no tenemos que hacerlo. Si los datos no se ajustan a ninguno de los dos patrones anteriores, los generó Mersenne Twister.
Cómo funciona
fuente
^Ḋṫ4^^¿Por qué veo tanta repetición aquí? Huelo algo, pero no estoy seguro si hay un camino más corto que XOR [...] XOR XOR.