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Graines en octets
HMAC_SHA512(server_seed, client_seed:nonce:0)
c2 | 3e | f7 | 3d | eb | 4e | a4 | e9 | 2a | 3b | 55 | 1b | 44 | 3b | f7 | 30 | 14 | f0 | cf | 63 | 46 | d0 | b1 | 67 | 44 | 2b | 6c | 9b | c6 | d7 | 2b | b3 | 8a | 55 | 8f | c0 | e9 | 6 | 52 | 5b | d0 | 31 | 47 | a | 91 | 7c | 24 | 35 | d9 | a5 | 44 | a9 | e7 | e8 | e8 | 7b | d7 | e6 | 51 | a2 | 3d | c5 | 68 | c7 |
194 | 62 | 247 | 61 | 235 | 78 | 164 | 233 | 42 | 59 | 85 | 27 | 68 | 59 | 247 | 48 | 20 | 240 | 207 | 99 | 70 | 208 | 177 | 103 | 68 | 43 | 108 | 155 | 198 | 215 | 43 | 179 | 138 | 85 | 143 | 192 | 233 | 6 | 82 | 91 | 208 | 49 | 71 | 10 | 145 | 124 | 36 | 53 | 217 | 165 | 68 | 169 | 231 | 232 | 232 | 123 | 215 | 230 | 81 | 162 | 61 | 197 | 104 | 199 |
HMAC_SHA512(server_seed, client_seed:nonce:1)
af | 88 | 9e | 20 | 35 | 1e | 7f | d6 | ac | b6 | 80 | c6 | cd | 4 | d5 | d | f7 | 11 | 17 | 6e | 6b | 23 | 5c | 7 | e6 | 51 | 8a | 37 | 1e | 94 | e1 | 40 | 5c | f0 | fe | ed | 4b | c6 | ac | 4a | 4c | 18 | 14 | 60 | 5 | ed | 3e | ba | 2a | 68 | 58 | 3e | d | 25 | 3c | 59 | 65 | 70 | 6d | 39 | 22 | 1f | 66 | 56 |
175 | 136 | 158 | 32 | 53 | 30 | 127 | 214 | 172 | 182 | 128 | 198 | 205 | 4 | 213 | 13 | 247 | 17 | 23 | 110 | 107 | 35 | 92 | 7 | 230 | 81 | 138 | 55 | 30 | 148 | 225 | 64 | 92 | 240 | 254 | 237 | 75 | 198 | 172 | 74 | 76 | 24 | 20 | 96 | 5 | 237 | 62 | 186 | 42 | 104 | 88 | 62 | 13 | 37 | 60 | 89 | 101 | 112 | 109 | 57 | 34 | 31 | 102 | 86 |
Octets en nombre :
(194, 62, 247, 61, 235, 78, 164, 233) -> [0, ..., 39] = 30 | |||
0.757812500000000000 | (194 / (256 ^ 1)) | ||
+ | 0.000946044921875000 | (062 / (256 ^ 2)) | |
+ | 0.000014722347259521 | (247 / (256 ^ 3)) | |
+ | 0.000000014202669263 | (061 / (256 ^ 4)) | |
+ | 0.000000000213731255 | (235 / (256 ^ 5)) | |
+ | 0.000000000000277112 | (078 / (256 ^ 6)) | |
+ | 0.000000000000002276 | (164 / (256 ^ 7)) | |
+ | 0.000000000000000013 | (233 / (256 ^ 8)) | |
= | 0.758773281685814371 | (* 40) | |
= | 30.350931267432574856 |
(42, 59, 85, 27, 68, 59, 247, 48) -> [0, ..., 38] = 6 | |||
0.164062500000000000 | (042 / (256 ^ 1)) | ||
+ | 0.000900268554687500 | (059 / (256 ^ 2)) | |
+ | 0.000005066394805908 | (085 / (256 ^ 3)) | |
+ | 0.000000006286427379 | (027 / (256 ^ 4)) | |
+ | 0.000000000061845640 | (068 / (256 ^ 5)) | |
+ | 0.000000000000209610 | (059 / (256 ^ 6)) | |
+ | 0.000000000000003428 | (247 / (256 ^ 7)) | |
+ | 0.000000000000000003 | (048 / (256 ^ 8)) | |
= | 0.164967841297979478 | (* 39) | |
= | 6.433745810621199546 |
(20, 240, 207, 99, 70, 208, 177, 103) -> [0, ..., 37] = 3 | |||
0.078125000000000000 | (020 / (256 ^ 1)) | ||
+ | 0.003662109375000000 | (240 / (256 ^ 2)) | |
+ | 0.000012338161468506 | (207 / (256 ^ 3)) | |
+ | 0.000000023050233722 | (099 / (256 ^ 4)) | |
+ | 0.000000000063664629 | (070 / (256 ^ 5)) | |
+ | 0.000000000000738964 | (208 / (256 ^ 6)) | |
+ | 0.000000000000002456 | (177 / (256 ^ 7)) | |
+ | 0.000000000000000006 | (103 / (256 ^ 8)) | |
= | 0.081799470651108278 | (* 38) | |
= | 3.108379884742114463 |
(68, 43, 108, 155, 198, 215, 43, 179) -> [0, ..., 36] = 9 | |||
0.265625000000000000 | (068 / (256 ^ 1)) | ||
+ | 0.000656127929687500 | (043 / (256 ^ 2)) | |
+ | 0.000006437301635742 | (108 / (256 ^ 3)) | |
+ | 0.000000036088749766 | (155 / (256 ^ 4)) | |
+ | 0.000000000180079951 | (198 / (256 ^ 5)) | |
+ | 0.000000000000763833 | (215 / (256 ^ 6)) | |
+ | 0.000000000000000597 | (043 / (256 ^ 7)) | |
+ | 0.000000000000000010 | (179 / (256 ^ 8)) | |
= | 0.266287601500917404 | (* 37) | |
= | 9.852641255533944431 |
(138, 85, 143, 192, 233, 6, 82, 91) -> [0, ..., 35] = 19 | |||
0.539062500000000000 | (138 / (256 ^ 1)) | ||
+ | 0.001296997070312500 | (085 / (256 ^ 2)) | |
+ | 0.000008523464202881 | (143 / (256 ^ 3)) | |
+ | 0.000000044703483582 | (192 / (256 ^ 4)) | |
+ | 0.000000000211912266 | (233 / (256 ^ 5)) | |
+ | 0.000000000000021316 | (006 / (256 ^ 6)) | |
+ | 0.000000000000001138 | (082 / (256 ^ 7)) | |
+ | 0.000000000000000005 | (091 / (256 ^ 8)) | |
= | 0.540368065449933654 | (* 36) | |
= | 19.453250356197610671 |
(208, 49, 71, 10, 145, 124, 36, 53) -> [0, ..., 34] = 28 | |||
0.812500000000000000 | (208 / (256 ^ 1)) | ||
+ | 0.000747680664062500 | (049 / (256 ^ 2)) | |
+ | 0.000004231929779053 | (071 / (256 ^ 3)) | |
+ | 0.000000002328306437 | (010 / (256 ^ 4)) | |
+ | 0.000000000131876732 | (145 / (256 ^ 5)) | |
+ | 0.000000000000440536 | (124 / (256 ^ 6)) | |
+ | 0.000000000000000500 | (036 / (256 ^ 7)) | |
+ | 0.000000000000000003 | (053 / (256 ^ 8)) | |
= | 0.813251915054465702 | (* 35) | |
= | 28.463817026906298224 |
(217, 165, 68, 169, 231, 232, 232, 123) -> [0, ..., 33] = 28 | |||
0.847656250000000000 | (217 / (256 ^ 1)) | ||
+ | 0.002517700195312500 | (165 / (256 ^ 2)) | |
+ | 0.000004053115844727 | (068 / (256 ^ 3)) | |
+ | 0.000000039348378778 | (169 / (256 ^ 4)) | |
+ | 0.000000000210093276 | (231 / (256 ^ 5)) | |
+ | 0.000000000000824230 | (232 / (256 ^ 6)) | |
+ | 0.000000000000003220 | (232 / (256 ^ 7)) | |
+ | 0.000000000000000007 | (123 / (256 ^ 8)) | |
= | 0.850178042870456729 | (* 34) | |
= | 28.906053457595529466 |
(215, 230, 81, 162, 61, 197, 104, 199) -> [0, ..., 32] = 27 | |||
0.839843750000000000 | (215 / (256 ^ 1)) | ||
+ | 0.003509521484375000 | (230 / (256 ^ 2)) | |
+ | 0.000004827976226807 | (081 / (256 ^ 3)) | |
+ | 0.000000037718564272 | (162 / (256 ^ 4)) | |
+ | 0.000000000055479177 | (061 / (256 ^ 5)) | |
+ | 0.000000000000699885 | (197 / (256 ^ 6)) | |
+ | 0.000000000000001443 | (104 / (256 ^ 7)) | |
+ | 0.000000000000000011 | (199 / (256 ^ 8)) | |
= | 0.843358137235346583 | (* 33) | |
= | 27.830818528766435804 |
(175, 136, 158, 32, 53, 30, 127, 214) -> [0, ..., 31] = 21 | |||
0.683593750000000000 | (175 / (256 ^ 1)) | ||
+ | 0.002075195312500000 | (136 / (256 ^ 2)) | |
+ | 0.000009417533874512 | (158 / (256 ^ 3)) | |
+ | 0.000000007450580597 | (032 / (256 ^ 4)) | |
+ | 0.000000000048203219 | (053 / (256 ^ 5)) | |
+ | 0.000000000000106581 | (030 / (256 ^ 6)) | |
+ | 0.000000000000001762 | (127 / (256 ^ 7)) | |
+ | 0.000000000000000012 | (214 / (256 ^ 8)) | |
= | 0.685678370345266686 | (* 32) | |
= | 21.941707851048533939 |
(172, 182, 128, 198, 205, 4, 213, 13) -> [0, ..., 30] = 20 | |||
0.671875000000000000 | (172 / (256 ^ 1)) | ||
+ | 0.002777099609375000 | (182 / (256 ^ 2)) | |
+ | 0.000007629394531250 | (128 / (256 ^ 3)) | |
+ | 0.000000046100467443 | (198 / (256 ^ 4)) | |
+ | 0.000000000186446414 | (205 / (256 ^ 5)) | |
+ | 0.000000000000014211 | (004 / (256 ^ 6)) | |
+ | 0.000000000000002956 | (213 / (256 ^ 7)) | |
+ | 0.000000000000000001 | (013 / (256 ^ 8)) | |
= | 0.674659775290837316 | (* 31) | |
= | 20.914453034015956234 |
Mélange de nombres :
Après avoir converti les octets en nombres, nous devons mélanger les nombres pour les convertir en un numéro de cellule dans un champ inutilisé.
Tout d'abord, un tableau est créé contenant tous les résultats possibles.
Ensuite, dans une boucle, un nombre est sélectionné et multiplié par le nombre de résultats restants, en prenant le résultat de cette position.
Une fois ce résultat choisi, il est retiré du tableau et ne peut plus être choisi.
Cette méthode de mélange s'appelle le mélange de Fisher-Yates (WIKIPEDIA)
# Pick | Number | Multiplier | Number * Multiplier | Result |
1 | 0.7587732816858144 | 40 | 30 | 31 |
2 | 0.16496784129797948 | 39 | 6 | 7 |
3 | 0.08179947065110828 | 38 | 3 | 4 |
4 | 0.2662876015009174 | 37 | 9 | 12 |
5 | 0.5403680654499337 | 36 | 19 | 23 |
6 | 0.8132519150544657 | 35 | 28 | 34 |
7 | 0.8501780428704567 | 34 | 28 | 35 |
8 | 0.8433581372353466 | 33 | 27 | 33 |
9 | 0.6856783703452667 | 32 | 21 | 26 |
10 | 0.6746597752908373 | 31 | 20 | 25 |
Tous les paris ayant un identifiant inférieur à #303200162 utilisent la fonction HMAC_SHA256; pour vérifier les anciens jeux,
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