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Seeds to Bytes
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 |
HMAC_SHA512(server_seed, client_seed:nonce:2)
58 | 14 | 7d | 79 | 46 | fc | 54 | a9 | 17 | 57 | aa | 6d | ed | b6 | 5d | 1a | 16 | e3 | c | 34 | 18 | d0 | e6 | 34 | 62 | ec | 2c | 6e | 12 | ec | 2c | 67 | da | 24 | 74 | 3e | 78 | 8d | 53 | 44 | 7b | 2b | 97 | 85 | 79 | 5a | fe | 54 | 6 | e | ce | d | 58 | 4f | aa | fc | c9 | bb | 90 | 32 | 8e | 3f | 75 | 73 |
88 | 20 | 125 | 121 | 70 | 252 | 84 | 169 | 23 | 87 | 170 | 109 | 237 | 182 | 93 | 26 | 22 | 227 | 12 | 52 | 24 | 208 | 230 | 52 | 98 | 236 | 44 | 110 | 18 | 236 | 44 | 103 | 218 | 36 | 116 | 62 | 120 | 141 | 83 | 68 | 123 | 43 | 151 | 133 | 121 | 90 | 254 | 84 | 6 | 14 | 206 | 13 | 88 | 79 | 170 | 252 | 201 | 187 | 144 | 50 | 142 | 63 | 117 | 115 |
HMAC_SHA512(server_seed, client_seed:nonce:3)
b | 45 | 99 | 21 | 49 | c9 | e | 66 | ce | 5f | a0 | c6 | 28 | a8 | aa | cb | 7d | cb | 1e | c1 | 72 | 4f | cc | 71 | f1 | e7 | c8 | 82 | c7 | b2 | 8c | 4c | 3c | e8 | 3b | cb | 82 | 48 | e2 | b7 | e8 | d4 | 3f | 93 | b4 | 8 | b1 | 64 | a9 | 4d | 1f | d1 | 5e | 5c | 67 | e | c | a0 | cb | 3f | b | e8 | d6 | be |
11 | 69 | 153 | 33 | 73 | 201 | 14 | 102 | 206 | 95 | 160 | 198 | 40 | 168 | 170 | 203 | 125 | 203 | 30 | 193 | 114 | 79 | 204 | 113 | 241 | 231 | 200 | 130 | 199 | 178 | 140 | 76 | 60 | 232 | 59 | 203 | 130 | 72 | 226 | 183 | 232 | 212 | 63 | 147 | 180 | 8 | 177 | 100 | 169 | 77 | 31 | 209 | 94 | 92 | 103 | 14 | 12 | 160 | 203 | 63 | 11 | 232 | 214 | 190 |
HMAC_SHA512(server_seed, client_seed:nonce:4)
18 | dd | 43 | 4d | de | 20 | d9 | ee | 10 | 9b | fa | 96 | c6 | 5e | c0 | cc | c4 | 40 | dd | 3e | d4 | 92 | ce | a | 38 | ec | ed | c5 | 80 | 56 | c8 | 51 | 24 | b4 | 6d | c7 | 99 | 8 | 4e | 90 | cd | fd | bd | 4f | 5b | 6d | ae | 71 | 72 | 1f | c2 | 85 | ff | cf | 35 | 5e | 57 | 5a | d3 | 7 | 4a | a9 | fe | 78 |
24 | 221 | 67 | 77 | 222 | 32 | 217 | 238 | 16 | 155 | 250 | 150 | 198 | 94 | 192 | 204 | 196 | 64 | 221 | 62 | 212 | 146 | 206 | 10 | 56 | 236 | 237 | 197 | 128 | 86 | 200 | 81 | 36 | 180 | 109 | 199 | 153 | 8 | 78 | 144 | 205 | 253 | 189 | 79 | 91 | 109 | 174 | 113 | 114 | 31 | 194 | 133 | 255 | 207 | 53 | 94 | 87 | 90 | 211 | 7 | 74 | 169 | 254 | 120 |
Bytes to Number:
(194, 62, 247, 61, 235, 78, 164, 233) -> [0, ..., 35] = 27 | |||
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 | (* 36) | |
= | 27.315838140689315594 |
(42, 59, 85, 27, 68, 59, 247, 48) -> [0, ..., 34] = 5 | |||
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 | (* 35) | |
= | 5.773874445429282076 |
(20, 240, 207, 99, 70, 208, 177, 103) -> [0, ..., 33] = 2 | |||
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 | (* 34) | |
= | 2.781182002137681408 |
(68, 43, 108, 155, 198, 215, 43, 179) -> [0, ..., 32] = 8 | |||
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 | (* 33) | |
= | 8.787490849530273707 |
(138, 85, 143, 192, 233, 6, 82, 91) -> [0, ..., 31] = 17 | |||
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 | (* 32) | |
= | 17.291778094397876941 |
(208, 49, 71, 10, 145, 124, 36, 53) -> [0, ..., 30] = 25 | |||
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 | (* 31) | |
= | 25.210809366688437194 |
(217, 165, 68, 169, 231, 232, 232, 123) -> [0, ..., 29] = 25 | |||
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 | (* 30) | |
= | 25.505341286113701216 |
(215, 230, 81, 162, 61, 197, 104, 199) -> [0, ..., 28] = 24 | |||
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 | (* 29) | |
= | 24.457385979825051692 |
(175, 136, 158, 32, 53, 30, 127, 214) -> [0, ..., 27] = 19 | |||
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 | (* 28) | |
= | 19.198994369667467197 |
(172, 182, 128, 198, 205, 4, 213, 13) -> [0, ..., 26] = 18 | |||
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 | (* 27) | |
= | 18.215813932852608303 |
(247, 17, 23, 110, 107, 35, 92, 7) -> [0, ..., 25] = 25 | |||
0.964843750000000000 | (247 / (256 ^ 1)) | ||
+ | 0.000259399414062500 | (017 / (256 ^ 2)) | |
+ | 0.000001370906829834 | (023 / (256 ^ 3)) | |
+ | 0.000000025611370802 | (110 / (256 ^ 4)) | |
+ | 0.000000000097315933 | (107 / (256 ^ 5)) | |
+ | 0.000000000000124345 | (035 / (256 ^ 6)) | |
+ | 0.000000000000001277 | (092 / (256 ^ 7)) | |
+ | 0.000000000000000000 | (007 / (256 ^ 8)) | |
= | 0.965104546029704746 | (* 26) | |
= | 25.092718196772324291 |
(230, 81, 138, 55, 30, 148, 225, 64) -> [0, ..., 24] = 22 | |||
0.898437500000000000 | (230 / (256 ^ 1)) | ||
+ | 0.001235961914062500 | (081 / (256 ^ 2)) | |
+ | 0.000008225440979004 | (138 / (256 ^ 3)) | |
+ | 0.000000012805685401 | (055 / (256 ^ 4)) | |
+ | 0.000000000027284841 | (030 / (256 ^ 5)) | |
+ | 0.000000000000525802 | (148 / (256 ^ 6)) | |
+ | 0.000000000000003123 | (225 / (256 ^ 7)) | |
+ | 0.000000000000000003 | (064 / (256 ^ 8)) | |
= | 0.899681700188540656 | (* 25) | |
= | 22.492042504713516848 |
(92, 240, 254, 237, 75, 198, 172, 74) -> [0, ..., 23] = 8 | |||
0.359375000000000000 | (092 / (256 ^ 1)) | ||
+ | 0.003662109375000000 | (240 / (256 ^ 2)) | |
+ | 0.000015139579772949 | (254 / (256 ^ 3)) | |
+ | 0.000000055180862546 | (237 / (256 ^ 4)) | |
+ | 0.000000000068212103 | (075 / (256 ^ 5)) | |
+ | 0.000000000000703437 | (198 / (256 ^ 6)) | |
+ | 0.000000000000002387 | (172 / (256 ^ 7)) | |
+ | 0.000000000000000004 | (074 / (256 ^ 8)) | |
= | 0.363052304204553422 | (* 24) | |
= | 8.713255300909281686 |
(76, 24, 20, 96, 5, 237, 62, 186) -> [0, ..., 22] = 6 | |||
0.296875000000000000 | (076 / (256 ^ 1)) | ||
+ | 0.000366210937500000 | (024 / (256 ^ 2)) | |
+ | 0.000001192092895508 | (020 / (256 ^ 3)) | |
+ | 0.000000022351741791 | (096 / (256 ^ 4)) | |
+ | 0.000000000004547474 | (005 / (256 ^ 5)) | |
+ | 0.000000000000841993 | (237 / (256 ^ 6)) | |
+ | 0.000000000000000860 | (062 / (256 ^ 7)) | |
+ | 0.000000000000000010 | (186 / (256 ^ 8)) | |
= | 0.297242425387527653 | (* 23) | |
= | 6.836575783913136029 |
(42, 104, 88, 62, 13, 37, 60, 89) -> [0, ..., 21] = 3 | |||
0.164062500000000000 | (042 / (256 ^ 1)) | ||
+ | 0.001586914062500000 | (104 / (256 ^ 2)) | |
+ | 0.000005245208740234 | (088 / (256 ^ 3)) | |
+ | 0.000000014435499907 | (062 / (256 ^ 4)) | |
+ | 0.000000000011823431 | (013 / (256 ^ 5)) | |
+ | 0.000000000000131450 | (037 / (256 ^ 6)) | |
+ | 0.000000000000000833 | (060 / (256 ^ 7)) | |
+ | 0.000000000000000005 | (089 / (256 ^ 8)) | |
= | 0.165654673718695855 | (* 22) | |
= | 3.644402821811308701 |
(101, 112, 109, 57, 34, 31, 102, 86) -> [0, ..., 20] = 8 | |||
0.394531250000000000 | (101 / (256 ^ 1)) | ||
+ | 0.001708984375000000 | (112 / (256 ^ 2)) | |
+ | 0.000006496906280518 | (109 / (256 ^ 3)) | |
+ | 0.000000013271346688 | (057 / (256 ^ 4)) | |
+ | 0.000000000030922820 | (034 / (256 ^ 5)) | |
+ | 0.000000000000110134 | (031 / (256 ^ 6)) | |
+ | 0.000000000000001416 | (102 / (256 ^ 7)) | |
+ | 0.000000000000000005 | (086 / (256 ^ 8)) | |
= | 0.396246744583661603 | (* 21) | |
= | 8.321181636256893555 |
(88, 20, 125, 121, 70, 252, 84, 169) -> [0, ..., 19] = 6 | |||
0.343750000000000000 | (088 / (256 ^ 1)) | ||
+ | 0.000305175781250000 | (020 / (256 ^ 2)) | |
+ | 0.000007450580596924 | (125 / (256 ^ 3)) | |
+ | 0.000000028172507882 | (121 / (256 ^ 4)) | |
+ | 0.000000000063664629 | (070 / (256 ^ 5)) | |
+ | 0.000000000000895284 | (252 / (256 ^ 6)) | |
+ | 0.000000000000001166 | (084 / (256 ^ 7)) | |
+ | 0.000000000000000009 | (169 / (256 ^ 8)) | |
= | 0.344062654598915885 | (* 20) | |
= | 6.881253091978317471 |
(23, 87, 170, 109, 237, 182, 93, 26) -> [0, ..., 18] = 1 | |||
0.089843750000000000 | (023 / (256 ^ 1)) | ||
+ | 0.001327514648437500 | (087 / (256 ^ 2)) | |
+ | 0.000010132789611816 | (170 / (256 ^ 3)) | |
+ | 0.000000025378540158 | (109 / (256 ^ 4)) | |
+ | 0.000000000215550244 | (237 / (256 ^ 5)) | |
+ | 0.000000000000646594 | (182 / (256 ^ 6)) | |
+ | 0.000000000000001291 | (093 / (256 ^ 7)) | |
+ | 0.000000000000000001 | (026 / (256 ^ 8)) | |
= | 0.091181423032787604 | (* 19) | |
= | 1.732447037622964370 |
(22, 227, 12, 52, 24, 208, 230, 52) -> [0, ..., 17] = 1 | |||
0.085937500000000000 | (022 / (256 ^ 1)) | ||
+ | 0.003463745117187500 | (227 / (256 ^ 2)) | |
+ | 0.000000715255737305 | (012 / (256 ^ 3)) | |
+ | 0.000000012107193470 | (052 / (256 ^ 4)) | |
+ | 0.000000000021827873 | (024 / (256 ^ 5)) | |
+ | 0.000000000000738964 | (208 / (256 ^ 6)) | |
+ | 0.000000000000003192 | (230 / (256 ^ 7)) | |
+ | 0.000000000000000003 | (052 / (256 ^ 8)) | |
= | 0.089401972502688304 | (* 18) | |
= | 1.609235505048389525 |
(98, 236, 44, 110, 18, 236, 44, 103) -> [0, ..., 16] = 6 | |||
0.382812500000000000 | (098 / (256 ^ 1)) | ||
+ | 0.003601074218750000 | (236 / (256 ^ 2)) | |
+ | 0.000002622604370117 | (044 / (256 ^ 3)) | |
+ | 0.000000025611370802 | (110 / (256 ^ 4)) | |
+ | 0.000000000016370905 | (018 / (256 ^ 5)) | |
+ | 0.000000000000838440 | (236 / (256 ^ 6)) | |
+ | 0.000000000000000611 | (044 / (256 ^ 7)) | |
+ | 0.000000000000000006 | (103 / (256 ^ 8)) | |
= | 0.386416222451700875 | (* 17) | |
= | 6.569075781678915149 |
(218, 36, 116, 62, 120, 141, 83, 68) -> [0, ..., 15] = 13 | |||
0.851562500000000000 | (218 / (256 ^ 1)) | ||
+ | 0.000549316406250000 | (036 / (256 ^ 2)) | |
+ | 0.000006914138793945 | (116 / (256 ^ 3)) | |
+ | 0.000000014435499907 | (062 / (256 ^ 4)) | |
+ | 0.000000000109139364 | (120 / (256 ^ 5)) | |
+ | 0.000000000000500933 | (141 / (256 ^ 6)) | |
+ | 0.000000000000001152 | (083 / (256 ^ 7)) | |
+ | 0.000000000000000004 | (068 / (256 ^ 8)) | |
= | 0.852118745090185259 | (* 16) | |
= | 13.633899921442964143 |
(123, 43, 151, 133, 121, 90, 254, 84) -> [0, ..., 14] = 7 | |||
0.480468750000000000 | (123 / (256 ^ 1)) | ||
+ | 0.000656127929687500 | (043 / (256 ^ 2)) | |
+ | 0.000009000301361084 | (151 / (256 ^ 3)) | |
+ | 0.000000030966475606 | (133 / (256 ^ 4)) | |
+ | 0.000000000110048859 | (121 / (256 ^ 5)) | |
+ | 0.000000000000319744 | (090 / (256 ^ 6)) | |
+ | 0.000000000000003525 | (254 / (256 ^ 7)) | |
+ | 0.000000000000000005 | (084 / (256 ^ 8)) | |
= | 0.481133909307896346 | (* 15) | |
= | 7.217008639618445187 |
(6, 14, 206, 13, 88, 79, 170, 252) -> [0, ..., 13] = 0 | |||
0.023437500000000000 | (006 / (256 ^ 1)) | ||
+ | 0.000213623046875000 | (014 / (256 ^ 2)) | |
+ | 0.000012278556823730 | (206 / (256 ^ 3)) | |
+ | 0.000000003026798368 | (013 / (256 ^ 4)) | |
+ | 0.000000000080035534 | (088 / (256 ^ 5)) | |
+ | 0.000000000000280664 | (079 / (256 ^ 6)) | |
+ | 0.000000000000002359 | (170 / (256 ^ 7)) | |
+ | 0.000000000000000014 | (252 / (256 ^ 8)) | |
= | 0.023663404710815669 | (* 14) | |
= | 0.331287665951419341 |
(201, 187, 144, 50, 142, 63, 117, 115) -> [0, ..., 12] = 10 | |||
0.785156250000000000 | (201 / (256 ^ 1)) | ||
+ | 0.002853393554687500 | (187 / (256 ^ 2)) | |
+ | 0.000008583068847656 | (144 / (256 ^ 3)) | |
+ | 0.000000011641532183 | (050 / (256 ^ 4)) | |
+ | 0.000000000129148248 | (142 / (256 ^ 5)) | |
+ | 0.000000000000223821 | (063 / (256 ^ 6)) | |
+ | 0.000000000000001624 | (117 / (256 ^ 7)) | |
+ | 0.000000000000000006 | (115 / (256 ^ 8)) | |
= | 0.788018238394441073 | (* 13) | |
= | 10.244237099127733615 |
(11, 69, 153, 33, 73, 201, 14, 102) -> [0, ..., 11] = 0 | |||
0.042968750000000000 | (011 / (256 ^ 1)) | ||
+ | 0.001052856445312500 | (069 / (256 ^ 2)) | |
+ | 0.000009119510650635 | (153 / (256 ^ 3)) | |
+ | 0.000000007683411241 | (033 / (256 ^ 4)) | |
+ | 0.000000000066393113 | (073 / (256 ^ 5)) | |
+ | 0.000000000000714095 | (201 / (256 ^ 6)) | |
+ | 0.000000000000000194 | (014 / (256 ^ 7)) | |
+ | 0.000000000000000006 | (102 / (256 ^ 8)) | |
= | 0.044030733706481785 | (* 12) | |
= | 0.528368804477781451 |
(206, 95, 160, 198, 40, 168, 170, 203) -> [0, ..., 10] = 8 | |||
0.804687500000000000 | (206 / (256 ^ 1)) | ||
+ | 0.001449584960937500 | (095 / (256 ^ 2)) | |
+ | 0.000009536743164063 | (160 / (256 ^ 3)) | |
+ | 0.000000046100467443 | (198 / (256 ^ 4)) | |
+ | 0.000000000036379788 | (040 / (256 ^ 5)) | |
+ | 0.000000000000596856 | (168 / (256 ^ 6)) | |
+ | 0.000000000000002359 | (170 / (256 ^ 7)) | |
+ | 0.000000000000000011 | (203 / (256 ^ 8)) | |
= | 0.806146667841547981 | (* 11) | |
= | 8.867613346257027018 |
(125, 203, 30, 193, 114, 79, 204, 113) -> [0, ..., 9] = 4 | |||
0.488281250000000000 | (125 / (256 ^ 1)) | ||
+ | 0.003097534179687500 | (203 / (256 ^ 2)) | |
+ | 0.000001788139343262 | (030 / (256 ^ 3)) | |
+ | 0.000000044936314225 | (193 / (256 ^ 4)) | |
+ | 0.000000000103682396 | (114 / (256 ^ 5)) | |
+ | 0.000000000000280664 | (079 / (256 ^ 6)) | |
+ | 0.000000000000002831 | (204 / (256 ^ 7)) | |
+ | 0.000000000000000006 | (113 / (256 ^ 8)) | |
= | 0.491380617359310878 | (* 10) | |
= | 4.913806173593108895 |
(241, 231, 200, 130, 199, 178, 140, 76) -> [0, ..., 8] = 8 | |||
0.941406250000000000 | (241 / (256 ^ 1)) | ||
+ | 0.003524780273437500 | (231 / (256 ^ 2)) | |
+ | 0.000011920928955078 | (200 / (256 ^ 3)) | |
+ | 0.000000030267983675 | (130 / (256 ^ 4)) | |
+ | 0.000000000180989446 | (199 / (256 ^ 5)) | |
+ | 0.000000000000632383 | (178 / (256 ^ 6)) | |
+ | 0.000000000000001943 | (140 / (256 ^ 7)) | |
+ | 0.000000000000000004 | (076 / (256 ^ 8)) | |
= | 0.944942981652000080 | (* 9) | |
= | 8.504486834868000500 |
(60, 232, 59, 203, 130, 72, 226, 183) -> [0, ..., 7] = 1 | |||
0.234375000000000000 | (060 / (256 ^ 1)) | ||
+ | 0.003540039062500000 | (232 / (256 ^ 2)) | |
+ | 0.000003516674041748 | (059 / (256 ^ 3)) | |
+ | 0.000000047264620662 | (203 / (256 ^ 4)) | |
+ | 0.000000000118234311 | (130 / (256 ^ 5)) | |
+ | 0.000000000000255795 | (072 / (256 ^ 6)) | |
+ | 0.000000000000003136 | (226 / (256 ^ 7)) | |
+ | 0.000000000000000010 | (183 / (256 ^ 8)) | |
= | 0.237918603119655653 | (* 8) | |
= | 1.903348824957245222 |
(232, 212, 63, 147, 180, 8, 177, 100) -> [0, ..., 6] = 6 | |||
0.906250000000000000 | (232 / (256 ^ 1)) | ||
+ | 0.003234863281250000 | (212 / (256 ^ 2)) | |
+ | 0.000003755092620850 | (063 / (256 ^ 3)) | |
+ | 0.000000034226104617 | (147 / (256 ^ 4)) | |
+ | 0.000000000163709046 | (180 / (256 ^ 5)) | |
+ | 0.000000000000028422 | (008 / (256 ^ 6)) | |
+ | 0.000000000000002456 | (177 / (256 ^ 7)) | |
+ | 0.000000000000000005 | (100 / (256 ^ 8)) | |
= | 0.909488652763715377 | (* 7) | |
= | 6.366420569346007419 |
(169, 77, 31, 209, 94, 92, 103, 14) -> [0, ..., 5] = 3 | |||
0.660156250000000000 | (169 / (256 ^ 1)) | ||
+ | 0.001174926757812500 | (077 / (256 ^ 2)) | |
+ | 0.000001847743988037 | (031 / (256 ^ 3)) | |
+ | 0.000000048661604524 | (209 / (256 ^ 4)) | |
+ | 0.000000000085492502 | (094 / (256 ^ 5)) | |
+ | 0.000000000000326850 | (092 / (256 ^ 6)) | |
+ | 0.000000000000001429 | (103 / (256 ^ 7)) | |
+ | 0.000000000000000001 | (014 / (256 ^ 8)) | |
= | 0.661333073249225856 | (* 6) | |
= | 3.967998439495355356 |
(12, 160, 203, 63, 11, 232, 214, 190) -> [0, ..., 4] = 0 | |||
0.046875000000000000 | (012 / (256 ^ 1)) | ||
+ | 0.002441406250000000 | (160 / (256 ^ 2)) | |
+ | 0.000012099742889404 | (203 / (256 ^ 3)) | |
+ | 0.000000014668330550 | (063 / (256 ^ 4)) | |
+ | 0.000000000010004442 | (011 / (256 ^ 5)) | |
+ | 0.000000000000824230 | (232 / (256 ^ 6)) | |
+ | 0.000000000000002970 | (214 / (256 ^ 7)) | |
+ | 0.000000000000000010 | (190 / (256 ^ 8)) | |
= | 0.049328520672051603 | (* 5) | |
= | 0.246642603360258006 |
(24, 221, 67, 77, 222, 32, 217, 238) -> [0, ..., 3] = 0 | |||
0.093750000000000000 | (024 / (256 ^ 1)) | ||
+ | 0.003372192382812500 | (221 / (256 ^ 2)) | |
+ | 0.000003993511199951 | (067 / (256 ^ 3)) | |
+ | 0.000000017927959561 | (077 / (256 ^ 4)) | |
+ | 0.000000000201907824 | (222 / (256 ^ 5)) | |
+ | 0.000000000000113687 | (032 / (256 ^ 6)) | |
+ | 0.000000000000003011 | (217 / (256 ^ 7)) | |
+ | 0.000000000000000013 | (238 / (256 ^ 8)) | |
= | 0.097126204023996549 | (* 4) | |
= | 0.388504816095986194 |
(16, 155, 250, 150, 198, 94, 192, 204) -> [0, ..., 2] = 0 | |||
0.062500000000000000 | (016 / (256 ^ 1)) | ||
+ | 0.002365112304687500 | (155 / (256 ^ 2)) | |
+ | 0.000014901161193848 | (250 / (256 ^ 3)) | |
+ | 0.000000034924596548 | (150 / (256 ^ 4)) | |
+ | 0.000000000180079951 | (198 / (256 ^ 5)) | |
+ | 0.000000000000333955 | (094 / (256 ^ 6)) | |
+ | 0.000000000000002665 | (192 / (256 ^ 7)) | |
+ | 0.000000000000000011 | (204 / (256 ^ 8)) | |
= | 0.064880048570894480 | (* 3) | |
= | 0.194640145712683454 |
(196, 64, 221, 62, 212, 146, 206, 10) -> [0, ..., 1] = 1 | |||
0.765625000000000000 | (196 / (256 ^ 1)) | ||
+ | 0.000976562500000000 | (064 / (256 ^ 2)) | |
+ | 0.000013172626495361 | (221 / (256 ^ 3)) | |
+ | 0.000000014435499907 | (062 / (256 ^ 4)) | |
+ | 0.000000000192812877 | (212 / (256 ^ 5)) | |
+ | 0.000000000000518696 | (146 / (256 ^ 6)) | |
+ | 0.000000000000002859 | (206 / (256 ^ 7)) | |
+ | 0.000000000000000001 | (010 / (256 ^ 8)) | |
= | 0.766614749755329727 | (* 2) | |
= | 1.533229499510659455 |
(56, 236, 237, 197, 128, 86, 200, 81) -> [0, ..., 0] = 0 | |||
0.218750000000000000 | (056 / (256 ^ 1)) | ||
+ | 0.003601074218750000 | (236 / (256 ^ 2)) | |
+ | 0.000014126300811768 | (237 / (256 ^ 3)) | |
+ | 0.000000045867636800 | (197 / (256 ^ 4)) | |
+ | 0.000000000116415322 | (128 / (256 ^ 5)) | |
+ | 0.000000000000305533 | (086 / (256 ^ 6)) | |
+ | 0.000000000000002776 | (200 / (256 ^ 7)) | |
+ | 0.000000000000000004 | (081 / (256 ^ 8)) | |
= | 0.222365246503922198 | (* 1) | |
= | 0.222365246503922198 |
Number Shuffling:
After converting bytes into numbers, we need to shuffle the numbers to convert them into a cell number in an unused field.
First, an array is created containing all possible outcomes.
Then, in a loop, a number is selected and multiplied by the number of remaining outcomes, taking the result from that position.
Once this result is chosen, it is removed from the array and cannot be chosen again.
This shuffling method is called Fisher-Yates Shuffle (WIKIPEDIA)
# Pick | Number | Multiplier | Number * Multiplier | Result |
1 | 0.7587732816858144 | 36 | 27 | 28 |
2 | 0.16496784129797948 | 35 | 5 | 6 |
3 | 0.08179947065110828 | 34 | 2 | 3 |
4 | 0.2662876015009174 | 33 | 8 | 11 |
5 | 0.5403680654499337 | 32 | 17 | 21 |
6 | 0.8132519150544657 | 31 | 25 | 31 |
7 | 0.8501780428704567 | 30 | 25 | 32 |
8 | 0.8433581372353466 | 29 | 24 | 30 |
9 | 0.6856783703452667 | 28 | 19 | 24 |
10 | 0.6746597752908373 | 27 | 18 | 23 |
11 | 0.9651045460297047 | 26 | 25 | 36 |
12 | 0.8996817001885407 | 25 | 22 | 33 |
13 | 0.3630523042045534 | 24 | 8 | 12 |
14 | 0.29724242538752765 | 23 | 6 | 9 |
15 | 0.16565467371869586 | 22 | 3 | 5 |
16 | 0.3962467445836616 | 21 | 8 | 15 |
17 | 0.3440626545989159 | 20 | 6 | 13 |
18 | 0.0911814230327876 | 19 | 1 | 2 |
19 | 0.0894019725026883 | 18 | 1 | 4 |
20 | 0.3864162224517009 | 17 | 6 | 17 |
21 | 0.8521187450901853 | 16 | 13 | 29 |
22 | 0.48113390930789635 | 15 | 7 | 19 |
23 | 0.02366340471081567 | 14 | 0 | 1 |
24 | 0.7880182383944411 | 13 | 10 | 27 |
25 | 0.044030733706481785 | 12 | 0 | 7 |
26 | 0.806146667841548 | 11 | 8 | 26 |
27 | 0.4913806173593109 | 10 | 4 | 18 |
28 | 0.9449429816520001 | 9 | 8 | 35 |
29 | 0.23791860311965565 | 8 | 1 | 10 |
30 | 0.9094886527637154 | 7 | 6 | 34 |
31 | 0.6613330732492259 | 6 | 3 | 20 |
32 | 0.0493285206720516 | 5 | 0 | 8 |
33 | 0.09712620402399655 | 4 | 0 | 14 |
34 | 0.06488004857089448 | 3 | 0 | 16 |
35 | 0.7666147497553297 | 2 | 1 | 25 |
36 | 0.2223652465039222 | 1 | 0 | 22 |
Each element in the Result column represents the index of a stone contained in an ordered array of figures from 1 to 36, where the values are represented as follows:
1 - purple stone
2 - orange stone
3 - blue stone
[ 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ];
All bets with an identifier lower than #303200162 used the HMAC_SHA256 function; to check old games,
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