{
  "_license": "This file is part of QOBLIB - Quantum Optimization Benchmarking Library\nLicensed under the Creative Commons Attribution 4.0 International License.\nYou may obtain a copy of the License at\n\n    https://creativecommons.org/licenses/by/4.0/\n\nYou are free to share and adapt the material for any purpose, even commercially,\nas long as you give appropriate credit and indicate if changes were made.",
  "5": {
    "scaled_doubly_stochastic_matrix": [
      440, 2156, 802, 1637, 842, 1402, 1185, 1304, 232, 624, 461, 1156, 339,
      284, 1503, 2610, 1825, 1198, 1036, 884, 642, 951, 1135, 864, 1167, 1495,
      1826, 1969, 1444, 1223, 970, 1202, 776, 1004, 953, 459, 1479, 1034, 1735,
      509, 1567, 885, 650, 944, 1197, 714, 1248, 604, 1252, 1738, 1319, 1119,
      1292, 714, 1956, 730, 1698, 1116, 843, 1044, 537, 318, 1758, 1067, 640,
      1293, 2063, 758, 1381, 948, 950, 900, 715, 1403, 847, 1163, 1631, 826,
      780, 919, 1716
    ],
    "weights": [
      84, 278, 175, 151, 113, 242, 8, 55, 381, 94, 30, 4, 100, 55, 8, 158, 8,
      45, 4, 159, 42, 105, 19, 356, 9, 103, 140, 40, 117, 85, 23, 61, 14, 46,
      35, 200, 43, 311, 453, 99, 113, 159, 193, 16, 224, 155, 239, 21, 49, 227,
      83, 258, 79, 18, 11, 284, 89, 141, 281, 69, 72, 57, 47, 4, 22, 51, 166,
      99, 54, 437, 504, 151, 404, 119, 60, 48, 233, 5, 14, 5, 286
    ],
    "id": "B9_81_5",
    "permutations": [
      4, 7, 9, 3, 1, 8, 5, 2, 6, 8, 7, 9, 3, 1, 6, 2, 4, 5, 7, 9, 6, 1, 8, 5, 2,
      4, 3, 4, 3, 5, 7, 6, 2, 8, 1, 9, 4, 8, 6, 1, 9, 2, 3, 7, 5, 4, 8, 1, 3, 5,
      2, 9, 7, 6, 5, 4, 9, 1, 8, 3, 7, 2, 6, 5, 8, 7, 2, 1, 6, 9, 3, 4, 8, 6, 7,
      2, 1, 5, 9, 4, 3, 5, 4, 6, 7, 9, 2, 3, 1, 8, 3, 2, 1, 5, 9, 6, 4, 7, 8, 4,
      8, 6, 2, 3, 1, 7, 5, 9, 3, 9, 1, 5, 7, 2, 4, 8, 6, 6, 1, 2, 8, 5, 7, 3, 4,
      9, 7, 5, 9, 3, 6, 2, 8, 1, 4, 4, 6, 5, 9, 7, 3, 1, 8, 2, 5, 9, 4, 6, 7, 2,
      3, 1, 8, 2, 6, 9, 4, 7, 5, 3, 8, 1, 1, 2, 9, 5, 6, 7, 4, 3, 8, 6, 1, 5, 4,
      8, 9, 3, 7, 2, 2, 9, 8, 1, 3, 5, 7, 6, 4, 5, 7, 9, 3, 8, 1, 6, 4, 2, 1, 6,
      4, 3, 5, 9, 2, 7, 8, 5, 8, 6, 1, 3, 7, 4, 9, 2, 6, 4, 1, 8, 9, 7, 5, 3, 2,
      2, 3, 7, 5, 4, 6, 1, 8, 9, 9, 8, 2, 6, 1, 5, 3, 7, 4, 2, 5, 7, 6, 3, 9, 4,
      8, 1, 6, 9, 4, 1, 2, 8, 7, 3, 5, 2, 3, 5, 4, 7, 6, 9, 8, 1, 3, 5, 8, 6, 9,
      1, 7, 2, 4, 5, 4, 9, 2, 3, 7, 1, 8, 6, 6, 4, 5, 7, 9, 3, 8, 2, 1, 3, 4, 6,
      7, 1, 5, 8, 9, 2, 6, 5, 4, 1, 3, 9, 7, 2, 8, 2, 9, 3, 6, 1, 5, 7, 4, 8, 2,
      4, 3, 7, 6, 9, 5, 1, 8, 2, 6, 9, 8, 5, 1, 4, 3, 7, 4, 9, 8, 3, 2, 5, 6, 1,
      7, 7, 5, 8, 2, 9, 4, 1, 3, 6, 7, 2, 1, 8, 6, 9, 3, 4, 5, 6, 7, 1, 4, 2, 8,
      3, 9, 5, 6, 8, 7, 2, 5, 3, 4, 1, 9, 6, 2, 8, 3, 5, 9, 1, 4, 7, 1, 7, 8, 2,
      9, 6, 3, 4, 5, 6, 7, 8, 1, 5, 3, 9, 2, 4, 6, 2, 4, 9, 8, 7, 1, 3, 5, 6, 7,
      2, 1, 4, 8, 3, 9, 5, 3, 8, 2, 1, 4, 9, 7, 6, 5, 3, 7, 9, 4, 2, 5, 1, 8, 6,
      9, 6, 4, 8, 7, 1, 5, 2, 3, 3, 7, 1, 5, 8, 6, 2, 9, 4, 1, 3, 8, 7, 6, 2, 9,
      4, 5, 7, 8, 4, 3, 2, 5, 6, 1, 9, 6, 2, 9, 4, 1, 5, 7, 8, 3, 7, 3, 9, 4, 1,
      8, 5, 6, 2, 2, 1, 7, 8, 6, 4, 3, 5, 9, 5, 1, 7, 2, 4, 9, 6, 3, 8, 4, 3, 9,
      2, 6, 7, 1, 5, 8, 3, 6, 2, 8, 5, 1, 9, 7, 4, 2, 7, 1, 6, 9, 3, 4, 8, 5, 8,
      5, 2, 1, 3, 4, 6, 7, 9, 8, 9, 4, 7, 5, 2, 1, 6, 3, 9, 4, 5, 7, 6, 3, 1, 2,
      8, 8, 5, 6, 7, 4, 2, 9, 3, 1, 7, 9, 2, 8, 5, 4, 1, 6, 3, 6, 1, 3, 5, 7, 8,
      9, 2, 4, 2, 7, 4, 5, 6, 9, 8, 1, 3, 1, 3, 6, 8, 4, 7, 5, 2, 9, 7, 6, 2, 5,
      3, 8, 1, 4, 9, 2, 8, 5, 7, 3, 4, 9, 6, 1, 4, 8, 7, 1, 3, 2, 6, 5, 9, 2, 7,
      8, 1, 5, 4, 3, 6, 9, 2, 3, 9, 8, 4, 1, 6, 7, 5, 1, 4, 5, 6, 2, 7, 3, 9, 8,
      6, 2, 1, 9, 3, 4, 7, 8, 5, 8, 7, 3, 6, 9, 2, 1, 5, 4, 9, 7, 1, 2, 5, 8, 4,
      3, 6, 5, 1, 7, 9, 6, 8, 3, 2, 4, 6, 9, 2, 5, 7, 8, 4, 3, 1, 8, 7, 4, 1, 9,
      6, 5, 3, 2
    ],
    "scale": 10000,
    "n": 9
  },
  "4": {
    "scaled_doubly_stochastic_matrix": [
      435, 2155, 1004, 1814, 635, 475, 1370, 1472, 640, 733, 1472, 1771, 1460,
      1489, 1291, 882, 545, 357, 1621, 1287, 1954, 721, 980, 441, 1577, 498,
      921, 1068, 631, 982, 382, 2360, 909, 738, 1196, 1734, 1185, 476, 565, 711,
      936, 951, 2168, 2460, 548, 1144, 748, 921, 1559, 1018, 1094, 645, 820,
      2051, 516, 1244, 1282, 1194, 1003, 2257, 154, 1449, 901, 1727, 686, 1141,
      784, 1402, 971, 1703, 732, 854, 1571, 1301, 380, 1375, 177, 1611, 763,
      828, 1994
    ],
    "weights": [
      368, 162, 20, 120, 78, 114, 100, 189, 301, 245, 158, 391, 609, 111, 98,
      292, 20, 55, 31, 192, 426, 80, 335, 59, 52, 149, 82, 71, 146, 11, 201, 5,
      111, 33, 54, 23, 6, 22, 5, 56, 5, 20, 13, 200, 26, 152, 201, 5, 294, 116,
      236, 65, 5, 93, 33, 148, 205, 186, 126, 22, 20, 46, 130, 7, 11, 24, 14,
      87, 278, 64, 494, 131, 320, 47, 26, 33, 49, 56, 159, 5, 267
    ],
    "id": "B9_81_4",
    "permutations": [
      9, 4, 7, 5, 1, 2, 3, 8, 6, 4, 5, 8, 1, 3, 2, 6, 7, 9, 5, 4, 3, 6, 7, 2, 9,
      8, 1, 5, 7, 1, 3, 8, 6, 2, 4, 9, 1, 5, 9, 7, 8, 3, 2, 4, 6, 3, 9, 7, 8, 4,
      6, 5, 2, 1, 8, 2, 1, 9, 7, 5, 3, 4, 6, 6, 4, 7, 5, 9, 1, 8, 3, 2, 4, 8, 3,
      9, 7, 5, 1, 6, 2, 8, 7, 1, 6, 5, 9, 3, 2, 4, 2, 7, 8, 6, 9, 5, 3, 1, 4, 2,
      5, 1, 9, 6, 7, 4, 3, 8, 7, 2, 3, 5, 8, 1, 6, 9, 4, 5, 2, 1, 7, 8, 9, 3, 4,
      6, 3, 1, 6, 5, 4, 2, 8, 7, 9, 8, 6, 2, 3, 1, 4, 5, 7, 9, 8, 6, 9, 7, 3, 4,
      5, 2, 1, 8, 5, 6, 4, 2, 3, 7, 9, 1, 4, 5, 3, 7, 8, 1, 6, 2, 9, 3, 6, 2, 1,
      4, 9, 5, 7, 8, 3, 6, 9, 7, 8, 4, 2, 5, 1, 6, 4, 9, 1, 8, 5, 3, 7, 2, 7, 5,
      3, 9, 2, 4, 8, 6, 1, 5, 7, 8, 2, 3, 6, 9, 4, 1, 6, 3, 8, 1, 5, 4, 7, 9, 2,
      6, 3, 7, 1, 5, 9, 8, 2, 4, 2, 9, 3, 5, 7, 8, 4, 1, 6, 4, 2, 5, 8, 7, 6, 3,
      1, 9, 4, 6, 7, 9, 1, 3, 8, 5, 2, 5, 8, 2, 3, 4, 6, 1, 7, 9, 8, 1, 4, 9, 7,
      6, 2, 5, 3, 6, 9, 7, 8, 1, 4, 5, 2, 3, 1, 8, 9, 5, 7, 6, 3, 4, 2, 9, 5, 4,
      8, 7, 2, 6, 3, 1, 2, 7, 4, 5, 6, 1, 9, 3, 8, 4, 1, 7, 6, 3, 8, 9, 5, 2, 4,
      8, 9, 3, 6, 2, 5, 1, 7, 4, 1, 6, 5, 2, 9, 7, 3, 8, 9, 3, 4, 7, 1, 6, 2, 8,
      5, 5, 2, 9, 6, 3, 4, 1, 8, 7, 1, 2, 3, 4, 6, 9, 7, 5, 8, 8, 4, 6, 1, 2, 3,
      7, 9, 5, 7, 1, 8, 3, 2, 6, 5, 9, 4, 8, 3, 1, 6, 5, 9, 2, 4, 7, 8, 4, 5, 6,
      2, 9, 3, 7, 1, 7, 4, 2, 1, 6, 8, 9, 3, 5, 9, 1, 2, 3, 7, 6, 8, 5, 4, 1, 5,
      7, 8, 2, 4, 3, 6, 9, 4, 5, 3, 2, 7, 8, 6, 1, 9, 5, 8, 2, 6, 4, 3, 9, 7, 1,
      2, 3, 4, 1, 7, 8, 6, 5, 9, 5, 3, 9, 6, 7, 4, 2, 1, 8, 5, 6, 8, 1, 3, 2, 9,
      4, 7, 2, 1, 6, 3, 4, 9, 8, 5, 7, 9, 1, 4, 5, 6, 8, 2, 3, 7, 2, 4, 6, 5, 3,
      7, 1, 8, 9, 1, 3, 5, 4, 6, 9, 8, 7, 2, 4, 6, 2, 8, 7, 3, 5, 1, 9, 2, 7, 3,
      9, 8, 4, 5, 6, 1, 4, 2, 1, 5, 3, 6, 9, 7, 8, 2, 5, 3, 1, 8, 4, 6, 7, 9, 5,
      2, 9, 7, 3, 4, 6, 1, 8, 7, 4, 2, 5, 9, 1, 6, 8, 3, 1, 4, 2, 7, 9, 6, 3, 5,
      8, 8, 9, 7, 4, 1, 5, 6, 2, 3, 1, 6, 5, 4, 3, 7, 9, 2, 8, 3, 9, 1, 7, 8, 5,
      4, 6, 2, 8, 3, 1, 9, 4, 5, 6, 2, 7, 4, 3, 5, 2, 8, 9, 6, 1, 7, 3, 7, 1, 8,
      9, 4, 2, 5, 6, 2, 3, 7, 5, 8, 9, 4, 1, 6, 7, 9, 3, 8, 5, 1, 4, 6, 2, 2, 4,
      5, 8, 1, 3, 6, 7, 9, 3, 5, 7, 9, 8, 4, 2, 1, 6, 5, 2, 7, 3, 8, 9, 4, 6, 1,
      2, 5, 9, 4, 1, 7, 8, 6, 3, 3, 1, 8, 4, 6, 7, 5, 9, 2, 8, 7, 5, 3, 6, 2, 4,
      9, 1, 8, 2, 4, 3, 5, 6, 9, 7, 1, 4, 5, 6, 3, 1, 9, 2, 8, 7, 4, 2, 1, 8, 7,
      5, 9, 3, 6
    ],
    "scale": 10000,
    "n": 9
  },
  "6": {
    "scaled_doubly_stochastic_matrix": [
      1235, 966, 1645, 1049, 1055, 810, 962, 463, 1815, 1103, 2364, 467, 1036,
      1668, 390, 776, 1746, 450, 284, 932, 1409, 1310, 585, 1577, 1327, 465,
      2111, 1210, 1996, 1020, 900, 1730, 292, 1072, 652, 1128, 1693, 437, 964,
      880, 698, 1462, 666, 2425, 775, 1125, 360, 1265, 1358, 1224, 1328, 1335,
      1560, 445, 2022, 254, 627, 1373, 600, 1691, 1801, 854, 778, 323, 1318,
      1267, 1284, 1334, 1311, 1189, 1264, 710, 1005, 1373, 1336, 810, 1106,
      1139, 872, 571, 1788
    ],
    "weights": [
      39, 82, 119, 23, 20, 14, 94, 132, 46, 44, 156, 154, 54, 18, 325, 64, 51,
      27, 141, 240, 52, 581, 20, 75, 114, 65, 100, 185, 114, 287, 96, 64, 196,
      86, 134, 291, 177, 66, 216, 316, 118, 120, 15, 57, 57, 301, 243, 171, 63,
      111, 104, 131, 2, 27, 18, 18, 40, 67, 23, 411, 99, 287, 60, 120, 32, 587,
      128, 188, 91, 62, 171, 488, 112, 65, 42, 119, 48, 59, 1, 26, 40
    ],
    "id": "B9_81_6",
    "permutations": [
      8, 9, 2, 7, 3, 6, 4, 5, 1, 1, 3, 8, 2, 5, 7, 6, 4, 9, 7, 8, 2, 1, 4, 3, 9,
      5, 6, 7, 2, 8, 6, 1, 3, 5, 9, 4, 4, 7, 6, 2, 9, 5, 8, 3, 1, 9, 1, 3, 2, 7,
      6, 4, 8, 5, 2, 8, 6, 4, 5, 1, 9, 3, 7, 2, 8, 5, 1, 6, 3, 7, 4, 9, 1, 5, 3,
      9, 4, 6, 2, 8, 7, 2, 9, 1, 6, 5, 8, 7, 3, 4, 9, 8, 4, 1, 3, 5, 6, 7, 2, 5,
      9, 4, 7, 8, 1, 6, 2, 3, 7, 4, 9, 2, 5, 6, 8, 3, 1, 7, 1, 2, 5, 4, 8, 9, 6,
      3, 3, 2, 9, 1, 4, 6, 7, 5, 8, 1, 6, 9, 4, 3, 2, 8, 5, 7, 2, 5, 9, 1, 8, 6,
      4, 7, 3, 1, 6, 7, 2, 9, 5, 3, 4, 8, 9, 1, 6, 8, 4, 7, 5, 3, 2, 5, 2, 9, 7,
      3, 6, 4, 8, 1, 8, 3, 9, 5, 6, 1, 4, 2, 7, 9, 8, 7, 2, 1, 4, 6, 5, 3, 9, 2,
      7, 3, 8, 5, 4, 6, 1, 2, 5, 4, 9, 1, 8, 7, 6, 3, 4, 5, 2, 6, 8, 7, 1, 9, 3,
      5, 7, 2, 1, 3, 8, 4, 6, 9, 6, 5, 4, 1, 2, 8, 3, 7, 9, 4, 5, 6, 3, 8, 7, 1,
      2, 9, 1, 5, 7, 9, 6, 8, 3, 4, 2, 3, 5, 6, 9, 2, 8, 4, 7, 1, 8, 4, 3, 7, 1,
      5, 9, 6, 2, 6, 9, 7, 5, 8, 2, 1, 4, 3, 7, 1, 9, 2, 5, 8, 6, 4, 3, 7, 9, 2,
      4, 3, 1, 5, 8, 6, 6, 4, 8, 9, 1, 3, 7, 2, 5, 2, 1, 3, 5, 8, 7, 4, 6, 9, 5,
      2, 9, 8, 3, 1, 4, 7, 6, 9, 5, 4, 2, 7, 1, 8, 6, 3, 6, 1, 5, 3, 9, 4, 8, 7,
      2, 3, 2, 4, 5, 1, 6, 9, 8, 7, 4, 6, 7, 8, 1, 3, 9, 2, 5, 6, 2, 8, 9, 1, 4,
      3, 7, 5, 8, 5, 7, 4, 2, 1, 9, 6, 3, 5, 6, 1, 4, 9, 3, 8, 2, 7, 6, 3, 2, 8,
      1, 5, 7, 9, 4, 3, 4, 2, 7, 9, 5, 1, 8, 6, 1, 5, 9, 2, 8, 6, 3, 4, 7, 9, 2,
      4, 5, 6, 3, 7, 1, 8, 8, 9, 1, 7, 4, 3, 5, 6, 2, 9, 2, 7, 6, 8, 1, 4, 3, 5,
      3, 7, 8, 9, 6, 2, 5, 1, 4, 1, 3, 5, 7, 6, 4, 2, 8, 9, 4, 5, 8, 1, 2, 7, 9,
      6, 3, 8, 1, 7, 4, 6, 3, 5, 2, 9, 9, 1, 2, 4, 3, 7, 8, 5, 6, 9, 1, 7, 4, 6,
      8, 2, 3, 5, 2, 4, 5, 8, 6, 1, 7, 3, 9, 7, 8, 2, 1, 5, 9, 6, 3, 4, 4, 5, 9,
      2, 1, 8, 3, 7, 6, 9, 4, 6, 3, 8, 7, 1, 2, 5, 3, 8, 9, 2, 5, 1, 7, 4, 6, 5,
      8, 3, 2, 7, 9, 6, 4, 1, 9, 1, 3, 8, 6, 4, 7, 2, 5, 7, 8, 1, 9, 4, 3, 6, 2,
      5, 5, 3, 6, 4, 2, 8, 7, 9, 1, 4, 7, 9, 5, 6, 8, 1, 3, 2, 3, 5, 6, 1, 7, 2,
      8, 9, 4, 7, 2, 6, 3, 8, 4, 1, 5, 9, 7, 8, 6, 2, 1, 9, 5, 3, 4, 2, 1, 3, 9,
      5, 4, 7, 8, 6, 8, 5, 4, 2, 7, 3, 1, 9, 6, 1, 2, 3, 4, 8, 5, 7, 6, 9, 2, 3,
      7, 5, 9, 1, 8, 6, 4, 2, 6, 3, 1, 8, 7, 5, 9, 4, 5, 1, 4, 2, 9, 3, 7, 8, 6,
      6, 2, 7, 5, 3, 1, 8, 9, 4, 9, 5, 2, 7, 4, 3, 6, 1, 8, 3, 6, 4, 8, 1, 5, 2,
      7, 9, 5, 3, 7, 4, 2, 8, 1, 9, 6, 3, 2, 5, 9, 6, 7, 4, 8, 1, 1, 2, 5, 9, 8,
      3, 7, 4, 6
    ],
    "scale": 10000,
    "n": 9
  },
  "7": {
    "scaled_doubly_stochastic_matrix": [
      490, 1515, 1453, 778, 1416, 1603, 1069, 1154, 522, 2150, 968, 606, 1605,
      470, 849, 929, 352, 2071, 1028, 1335, 1147, 926, 1658, 272, 900, 1687,
      1047, 874, 1288, 844, 1515, 861, 762, 1356, 1521, 979, 787, 724, 888,
      1681, 703, 1352, 1904, 928, 1033, 1229, 911, 1096, 869, 657, 1812, 1411,
      1241, 774, 1272, 794, 581, 1337, 2325, 849, 467, 1259, 1116, 981, 1345,
      1614, 613, 784, 1309, 1071, 1199, 1084, 1189, 1120, 1771, 676, 1126, 1192,
      893, 659, 1374
    ],
    "weights": [
      53, 36, 133, 9, 68, 303, 192, 8, 179, 50, 65, 154, 310, 46, 138, 44, 50,
      34, 297, 201, 440, 4, 109, 16, 17, 258, 67, 158, 18, 80, 24, 356, 83, 76,
      300, 151, 273, 4, 216, 66, 205, 156, 45, 262, 179, 39, 26, 66, 244, 184,
      155, 138, 130, 26, 112, 194, 101, 94, 264, 511, 125, 14, 127, 207, 30, 16,
      41, 7, 200, 117, 30, 41, 108, 62, 150, 28, 47, 310, 28, 67, 28
    ],
    "id": "B9_81_7",
    "permutations": [
      6, 4, 5, 2, 3, 7, 8, 1, 9, 5, 7, 1, 9, 8, 6, 4, 2, 3, 8, 4, 3, 6, 7, 2, 1,
      5, 9, 5, 4, 1, 6, 7, 9, 3, 8, 2, 7, 2, 9, 1, 3, 5, 8, 6, 4, 3, 4, 1, 9, 6,
      7, 8, 2, 5, 3, 1, 8, 2, 4, 9, 6, 5, 7, 3, 2, 6, 5, 4, 8, 9, 1, 7, 6, 8, 2,
      1, 4, 3, 5, 9, 7, 5, 6, 4, 8, 2, 7, 3, 1, 9, 2, 9, 5, 7, 6, 8, 4, 3, 1, 8,
      6, 5, 2, 7, 4, 3, 9, 1, 2, 1, 5, 6, 7, 8, 9, 4, 3, 7, 9, 3, 1, 6, 2, 5, 4,
      8, 8, 2, 9, 4, 7, 3, 5, 6, 1, 1, 9, 2, 3, 5, 6, 7, 4, 8, 4, 5, 3, 1, 7, 9,
      2, 6, 8, 2, 7, 4, 6, 8, 9, 5, 1, 3, 2, 9, 5, 8, 6, 7, 1, 3, 4, 9, 7, 8, 4,
      1, 6, 5, 3, 2, 2, 9, 7, 8, 5, 4, 1, 6, 3, 7, 1, 4, 2, 6, 5, 8, 9, 3, 4, 8,
      3, 2, 6, 9, 5, 7, 1, 7, 8, 3, 4, 2, 6, 5, 1, 9, 2, 6, 9, 1, 3, 4, 8, 5, 7,
      1, 4, 3, 7, 6, 5, 2, 8, 9, 4, 9, 5, 3, 2, 6, 7, 1, 8, 3, 2, 1, 9, 4, 7, 5,
      8, 6, 3, 8, 4, 2, 7, 5, 9, 1, 6, 4, 2, 5, 1, 6, 7, 8, 9, 3, 3, 1, 4, 7, 2,
      6, 5, 8, 9, 6, 9, 4, 2, 3, 1, 7, 8, 5, 7, 5, 9, 4, 1, 2, 8, 3, 6, 1, 6, 4,
      8, 7, 3, 2, 9, 5, 5, 3, 7, 8, 9, 1, 4, 2, 6, 5, 2, 4, 8, 9, 7, 6, 3, 1, 6,
      9, 2, 4, 1, 8, 5, 3, 7, 9, 5, 2, 7, 4, 6, 8, 1, 3, 6, 9, 1, 5, 4, 2, 8, 7,
      3, 9, 5, 4, 8, 1, 6, 3, 7, 2, 3, 1, 8, 4, 7, 6, 2, 5, 9, 6, 4, 3, 5, 7, 9,
      1, 8, 2, 7, 3, 8, 9, 5, 1, 2, 4, 6, 7, 1, 9, 4, 2, 3, 5, 6, 8, 7, 6, 3, 4,
      2, 8, 5, 1, 9, 3, 7, 8, 6, 5, 9, 1, 4, 2, 3, 9, 1, 6, 7, 2, 4, 5, 8, 9, 3,
      7, 8, 5, 4, 2, 1, 6, 4, 7, 2, 5, 3, 6, 8, 9, 1, 6, 2, 9, 7, 8, 5, 4, 3, 1,
      9, 2, 1, 3, 8, 7, 6, 5, 4, 3, 1, 8, 5, 7, 6, 4, 9, 2, 6, 3, 8, 4, 7, 9, 5,
      2, 1, 7, 2, 9, 8, 1, 4, 6, 5, 3, 1, 4, 9, 7, 2, 8, 5, 3, 6, 2, 1, 5, 7, 4,
      6, 9, 8, 3, 5, 4, 2, 7, 8, 1, 6, 9, 3, 3, 9, 7, 6, 4, 8, 2, 1, 5, 8, 4, 6,
      1, 7, 3, 5, 2, 9, 5, 1, 8, 3, 4, 6, 9, 7, 2, 3, 6, 1, 2, 4, 5, 8, 7, 9, 3,
      4, 5, 8, 2, 9, 6, 7, 1, 5, 4, 8, 9, 6, 1, 3, 2, 7, 8, 6, 2, 7, 9, 1, 4, 3,
      5, 7, 8, 4, 2, 9, 1, 3, 5, 6, 5, 9, 2, 7, 6, 4, 1, 8, 3, 8, 9, 2, 5, 1, 3,
      4, 6, 7, 5, 3, 9, 8, 7, 1, 6, 2, 4, 4, 7, 3, 2, 9, 8, 5, 1, 6, 2, 5, 4, 6,
      9, 7, 3, 1, 8, 9, 3, 8, 5, 1, 2, 4, 7, 6, 2, 6, 8, 7, 5, 9, 1, 3, 4, 5, 7,
      2, 1, 8, 3, 6, 9, 4, 3, 9, 2, 1, 7, 6, 8, 4, 5, 8, 5, 9, 7, 3, 4, 1, 2, 6,
      6, 4, 2, 8, 7, 3, 9, 1, 5, 3, 4, 5, 2, 6, 7, 9, 1, 8, 7, 1, 5, 9, 8, 2, 4,
      6, 3, 4, 3, 8, 5, 9, 1, 6, 2, 7, 8, 7, 5, 3, 1, 2, 6, 4, 9, 6, 9, 2, 4, 5,
      1, 3, 8, 7
    ],
    "scale": 10000,
    "n": 9
  },
  "2": {
    "scaled_doubly_stochastic_matrix": [
      840, 527, 1835, 952, 1209, 803, 279, 1135, 2420, 553, 1158, 1375, 942,
      1094, 566, 2061, 1660, 591, 1011, 934, 605, 845, 1911, 2096, 615, 1084,
      899, 997, 1217, 1027, 1114, 490, 1439, 2215, 1158, 343, 946, 1058, 1408,
      965, 803, 1586, 1004, 1039, 1191, 590, 1057, 963, 1189, 733, 1133, 1587,
      1435, 1313, 2174, 826, 307, 1356, 973, 1300, 1311, 661, 1092, 1343, 2098,
      1210, 587, 1634, 674, 384, 1060, 1010, 1546, 1125, 1270, 2050, 1153, 403,
      544, 768, 1141
    ],
    "weights": [
      58, 64, 73, 71, 73, 17, 428, 76, 32, 266, 98, 5, 192, 81, 50, 33, 35, 101,
      1, 112, 23, 337, 191, 210, 128, 42, 77, 382, 63, 184, 113, 25, 15, 99, 82,
      134, 85, 209, 154, 263, 77, 178, 26, 11, 175, 43, 299, 148, 60, 192, 267,
      27, 223, 440, 41, 36, 212, 559, 108, 43, 368, 24, 69, 117, 183, 8, 102,
      276, 1, 63, 15, 135, 56, 35, 134, 307, 35, 18, 141, 13, 53
    ],
    "id": "B9_81_2",
    "permutations": [
      8, 7, 1, 2, 3, 6, 9, 4, 5, 8, 5, 6, 3, 7, 9, 2, 1, 4, 8, 2, 7, 6, 9, 3, 4,
      1, 5, 3, 7, 9, 4, 2, 8, 6, 1, 5, 8, 6, 7, 2, 5, 9, 1, 3, 4, 4, 7, 1, 5, 9,
      6, 2, 8, 3, 3, 7, 6, 4, 8, 2, 5, 1, 9, 1, 8, 2, 3, 7, 4, 6, 9, 5, 1, 3, 4,
      6, 5, 7, 2, 9, 8, 1, 7, 5, 2, 6, 9, 8, 3, 4, 4, 3, 6, 8, 1, 7, 9, 2, 5, 2,
      7, 6, 3, 9, 5, 4, 1, 8, 8, 2, 6, 9, 7, 3, 4, 5, 1, 9, 1, 7, 6, 3, 4, 8, 5,
      2, 5, 8, 7, 2, 3, 6, 4, 9, 1, 9, 3, 8, 7, 4, 1, 6, 5, 2, 5, 3, 7, 6, 1, 9,
      2, 4, 8, 7, 8, 4, 2, 5, 3, 6, 1, 9, 1, 8, 4, 5, 2, 9, 7, 6, 3, 9, 4, 1, 7,
      8, 3, 2, 5, 6, 8, 5, 4, 6, 1, 3, 7, 9, 2, 3, 1, 9, 5, 6, 8, 4, 2, 7, 9, 3,
      4, 1, 2, 7, 5, 8, 6, 9, 2, 1, 6, 3, 4, 7, 5, 8, 2, 4, 5, 3, 9, 8, 6, 7, 1,
      7, 3, 8, 4, 9, 5, 6, 2, 1, 9, 3, 4, 8, 5, 1, 7, 6, 2, 9, 2, 8, 6, 4, 7, 1,
      5, 3, 3, 8, 7, 9, 6, 4, 1, 2, 5, 3, 9, 4, 8, 6, 2, 7, 5, 1, 5, 7, 8, 3, 4,
      2, 1, 6, 9, 8, 2, 9, 6, 4, 3, 5, 1, 7, 9, 4, 3, 2, 6, 1, 7, 8, 5, 5, 6, 8,
      2, 1, 4, 7, 3, 9, 2, 5, 9, 1, 8, 4, 7, 6, 3, 6, 5, 3, 7, 2, 4, 1, 8, 9, 6,
      2, 7, 5, 9, 4, 8, 3, 1, 6, 4, 5, 7, 9, 1, 2, 8, 3, 9, 7, 4, 8, 6, 1, 2, 3,
      5, 4, 9, 8, 1, 7, 5, 6, 2, 3, 7, 5, 9, 3, 1, 2, 6, 8, 4, 1, 2, 6, 3, 5, 8,
      7, 9, 4, 8, 6, 1, 5, 3, 7, 9, 4, 2, 7, 4, 9, 1, 5, 8, 6, 2, 3, 9, 7, 6, 2,
      3, 5, 1, 8, 4, 2, 9, 3, 4, 8, 1, 5, 7, 6, 9, 8, 1, 6, 2, 3, 7, 4, 5, 5, 7,
      3, 8, 2, 6, 9, 1, 4, 6, 5, 7, 1, 9, 3, 2, 4, 8, 2, 7, 6, 4, 1, 5, 8, 9, 3,
      9, 7, 5, 2, 1, 6, 4, 3, 8, 8, 4, 9, 1, 2, 3, 5, 6, 7, 4, 8, 2, 6, 5, 7, 1,
      3, 9, 8, 4, 5, 7, 3, 6, 9, 2, 1, 2, 9, 5, 6, 7, 4, 1, 8, 3, 2, 9, 6, 7, 4,
      3, 8, 5, 1, 5, 8, 3, 4, 9, 2, 6, 7, 1, 3, 8, 5, 7, 6, 9, 1, 2, 4, 6, 3, 2,
      4, 5, 7, 9, 8, 1, 4, 5, 6, 8, 7, 2, 1, 3, 9, 9, 6, 2, 7, 3, 8, 1, 5, 4, 6,
      9, 7, 5, 4, 1, 2, 8, 3, 3, 7, 4, 2, 9, 6, 5, 8, 1, 1, 5, 8, 3, 4, 7, 6, 9,
      2, 6, 3, 1, 7, 8, 4, 9, 2, 5, 3, 8, 1, 2, 6, 9, 7, 5, 4, 1, 3, 6, 8, 4, 9,
      5, 2, 7, 5, 3, 6, 8, 9, 7, 4, 1, 2, 4, 3, 5, 2, 1, 9, 8, 7, 6, 3, 7, 1, 8,
      4, 9, 2, 6, 5, 1, 8, 7, 6, 9, 3, 4, 5, 2, 5, 1, 9, 3, 8, 4, 7, 6, 2, 9, 3,
      7, 1, 8, 5, 2, 4, 6, 7, 5, 1, 2, 4, 8, 6, 9, 3, 8, 5, 9, 3, 2, 7, 6, 1, 4,
      4, 5, 6, 1, 7, 8, 3, 9, 2, 3, 7, 8, 9, 4, 1, 5, 6, 2, 3, 5, 2, 4, 7, 6, 9,
      1, 8, 5, 3, 2, 7, 1, 9, 4, 6, 8, 7, 2, 4, 8, 1, 6, 9, 5, 3, 1, 8, 3, 9, 2,
      6, 5, 4, 7
    ],
    "scale": 10000,
    "n": 9
  },
  "10": {
    "scaled_doubly_stochastic_matrix": [
      264, 1396, 2369, 275, 716, 2396, 594, 950, 1040, 1024, 1854, 984, 957,
      542, 1589, 641, 1214, 1195, 2078, 670, 1039, 1754, 907, 432, 1319, 1220,
      581, 951, 914, 816, 1601, 857, 951, 1211, 681, 2018, 843, 1477, 910, 1430,
      1609, 686, 1298, 1089, 658, 849, 547, 1759, 818, 1411, 836, 1603, 1560,
      617, 1777, 959, 833, 1753, 1600, 224, 1047, 784, 1023, 1170, 586, 855,
      668, 1535, 610, 1090, 1926, 1560, 1044, 1597, 435, 744, 823, 2276, 1197,
      576, 1308
    ],
    "weights": [
      31, 7, 128, 54, 57, 40, 9, 111, 149, 523, 42, 333, 133, 24, 27, 19, 119,
      212, 124, 241, 100, 31, 39, 251, 97, 4, 3, 66, 13, 92, 39, 224, 141, 244,
      5, 59, 157, 421, 404, 4, 5, 172, 268, 224, 296, 6, 5, 30, 406, 263, 60,
      28, 3, 119, 919, 95, 49, 309, 77, 41, 19, 16, 276, 37, 57, 201, 106, 278,
      59, 45, 164, 66, 56, 0, 129, 50, 27, 40, 133, 26, 63
    ],
    "id": "B9_81_10",
    "permutations": [
      4, 6, 8, 7, 3, 2, 1, 5, 9, 9, 4, 3, 6, 1, 5, 2, 8, 7, 4, 9, 2, 3, 1, 8, 5,
      6, 7, 6, 2, 8, 5, 3, 1, 9, 7, 4, 6, 3, 7, 4, 2, 5, 9, 8, 1, 7, 2, 5, 9, 6,
      3, 8, 1, 4, 5, 1, 4, 6, 2, 8, 3, 9, 7, 5, 1, 4, 2, 3, 7, 8, 9, 6, 1, 5, 8,
      4, 2, 3, 9, 7, 6, 6, 9, 8, 2, 7, 5, 4, 3, 1, 2, 1, 7, 4, 5, 9, 3, 6, 8, 5,
      4, 1, 8, 2, 3, 7, 9, 6, 5, 2, 3, 1, 9, 6, 7, 8, 4, 5, 6, 4, 2, 7, 9, 1, 8,
      3, 6, 9, 8, 5, 3, 4, 2, 7, 1, 4, 7, 6, 9, 1, 5, 8, 3, 2, 2, 1, 7, 8, 4, 6,
      3, 5, 9, 6, 1, 3, 4, 7, 8, 2, 5, 9, 2, 9, 6, 4, 7, 1, 3, 8, 5, 6, 4, 3, 7,
      5, 2, 1, 8, 9, 8, 5, 2, 9, 1, 3, 7, 6, 4, 3, 4, 2, 6, 9, 7, 8, 5, 1, 2, 8,
      4, 1, 5, 6, 9, 7, 3, 3, 8, 1, 2, 7, 4, 5, 9, 6, 2, 3, 5, 6, 7, 8, 9, 4, 1,
      7, 2, 4, 6, 5, 8, 1, 9, 3, 7, 6, 4, 3, 5, 2, 1, 8, 9, 8, 6, 5, 7, 1, 9, 3,
      4, 2, 5, 6, 8, 9, 1, 4, 2, 3, 7, 2, 9, 8, 6, 1, 7, 3, 4, 5, 6, 3, 1, 9, 7,
      5, 4, 8, 2, 7, 9, 1, 8, 5, 6, 3, 4, 2, 7, 8, 2, 4, 6, 9, 1, 3, 5, 2, 3, 6,
      9, 5, 7, 4, 8, 1, 1, 3, 8, 6, 4, 2, 5, 9, 7, 9, 2, 3, 1, 5, 7, 6, 4, 8, 8,
      1, 4, 9, 3, 7, 6, 5, 2, 2, 3, 7, 9, 8, 4, 1, 5, 6, 9, 6, 7, 1, 3, 8, 4, 2,
      5, 7, 8, 5, 9, 2, 3, 4, 6, 1, 4, 9, 2, 8, 5, 7, 6, 1, 3, 8, 1, 4, 6, 5, 2,
      9, 7, 3, 3, 7, 4, 5, 1, 8, 2, 9, 6, 3, 6, 9, 4, 5, 8, 7, 1, 2, 9, 6, 3, 4,
      5, 7, 2, 1, 8, 3, 4, 7, 9, 2, 1, 5, 6, 8, 4, 8, 3, 2, 1, 6, 7, 9, 5, 5, 1,
      3, 6, 2, 8, 7, 9, 4, 3, 8, 5, 7, 2, 1, 4, 9, 6, 3, 2, 4, 7, 8, 6, 1, 5, 9,
      1, 6, 8, 4, 3, 5, 7, 2, 9, 4, 9, 2, 1, 7, 8, 3, 5, 6, 2, 9, 1, 7, 3, 5, 6,
      8, 4, 9, 7, 4, 6, 1, 8, 5, 3, 2, 6, 2, 1, 9, 4, 3, 5, 8, 7, 8, 3, 9, 5, 6,
      2, 1, 7, 4, 9, 7, 2, 4, 6, 1, 8, 5, 3, 3, 8, 4, 5, 2, 7, 9, 1, 6, 3, 4, 8,
      5, 6, 1, 7, 2, 9, 6, 9, 1, 3, 2, 7, 8, 5, 4, 2, 7, 8, 6, 4, 5, 9, 1, 3, 8,
      4, 5, 3, 6, 7, 2, 9, 1, 3, 2, 4, 6, 8, 5, 1, 7, 9, 5, 7, 2, 1, 6, 8, 9, 4,
      3, 3, 6, 8, 4, 9, 7, 2, 1, 5, 3, 4, 1, 7, 9, 5, 8, 6, 2, 9, 1, 7, 3, 6, 4,
      5, 8, 2, 8, 6, 5, 3, 4, 9, 1, 7, 2, 4, 8, 2, 1, 6, 5, 7, 9, 3, 7, 4, 6, 3,
      9, 5, 8, 2, 1, 6, 5, 7, 4, 9, 3, 8, 1, 2, 8, 1, 2, 3, 6, 9, 5, 4, 7, 6, 2,
      3, 9, 5, 7, 8, 1, 4, 9, 5, 8, 4, 6, 3, 7, 1, 2, 2, 5, 9, 1, 8, 7, 3, 6, 4,
      1, 2, 8, 6, 4, 3, 9, 5, 7, 2, 7, 1, 5, 9, 6, 8, 4, 3, 2, 7, 1, 6, 4, 5, 9,
      3, 8, 7, 6, 9, 3, 2, 1, 4, 5, 8, 5, 3, 2, 4, 1, 6, 7, 8, 9, 6, 7, 8, 1, 3,
      5, 2, 9, 4
    ],
    "scale": 10000,
    "n": 9
  },
  "9": {
    "scaled_doubly_stochastic_matrix": [
      1415, 1478, 518, 1230, 880, 516, 729, 983, 2251, 1252, 909, 241, 1629,
      547, 1192, 909, 2609, 712, 1147, 1265, 1935, 916, 970, 1219, 782, 749,
      1017, 962, 570, 756, 1599, 1028, 726, 2422, 1175, 762, 968, 1372, 791,
      847, 1128, 709, 1974, 923, 1288, 1645, 969, 578, 978, 846, 1955, 648,
      1326, 1055, 1479, 720, 2313, 1180, 434, 1427, 1071, 359, 1017, 498, 871,
      1283, 385, 2063, 1165, 795, 1276, 1664, 634, 1846, 1585, 1236, 2104, 1091,
      670, 600, 234
    ],
    "weights": [
      33, 57, 146, 143, 124, 117, 38, 412, 102, 132, 98, 128, 38, 146, 138, 78,
      876, 53, 70, 34, 221, 128, 306, 280, 11, 70, 208, 99, 9, 8, 11, 82, 1,
      129, 19, 34, 101, 6, 130, 283, 10, 146, 10, 91, 117, 356, 3, 172, 130, 54,
      130, 17, 252, 450, 339, 165, 21, 15, 102, 187, 94, 15, 1, 166, 414, 255,
      31, 154, 5, 6, 218, 161, 93, 41, 119, 5, 82, 23, 14, 135, 102
    ],
    "id": "B9_81_9",
    "permutations": [
      7, 8, 6, 4, 1, 3, 2, 5, 9, 4, 9, 7, 1, 3, 2, 8, 5, 6, 2, 6, 5, 7, 1, 9, 3,
      8, 4, 4, 6, 5, 2, 9, 1, 7, 3, 8, 8, 9, 6, 7, 5, 3, 1, 2, 4, 9, 1, 4, 8, 5,
      7, 2, 3, 6, 6, 8, 3, 2, 7, 9, 4, 5, 1, 1, 2, 9, 6, 4, 8, 7, 5, 3, 5, 7, 8,
      4, 9, 6, 1, 3, 2, 2, 5, 7, 6, 1, 8, 3, 9, 4, 9, 5, 1, 7, 3, 4, 2, 6, 8, 3,
      7, 4, 8, 2, 9, 1, 6, 5, 2, 5, 7, 4, 9, 3, 1, 6, 8, 1, 4, 2, 8, 9, 6, 3, 7,
      5, 1, 9, 4, 7, 8, 2, 6, 5, 3, 5, 6, 1, 9, 2, 8, 4, 7, 3, 9, 8, 3, 4, 7, 6,
      1, 5, 2, 3, 8, 2, 5, 9, 1, 7, 6, 4, 4, 6, 5, 3, 9, 1, 7, 8, 2, 7, 3, 9, 1,
      2, 5, 4, 6, 8, 4, 8, 6, 7, 2, 1, 9, 5, 3, 5, 6, 7, 1, 9, 8, 2, 3, 4, 7, 8,
      3, 1, 5, 4, 9, 6, 2, 9, 1, 4, 7, 2, 6, 3, 8, 5, 3, 4, 1, 6, 7, 8, 9, 5, 2,
      5, 8, 9, 3, 6, 1, 4, 2, 7, 5, 4, 7, 8, 2, 6, 1, 9, 3, 8, 6, 4, 7, 5, 9, 3,
      1, 2, 6, 3, 2, 9, 5, 4, 7, 1, 8, 5, 4, 6, 9, 8, 7, 3, 1, 2, 7, 3, 5, 6, 2,
      1, 8, 9, 4, 9, 2, 7, 5, 6, 1, 3, 8, 4, 2, 8, 9, 5, 1, 3, 6, 7, 4, 2, 7, 6,
      3, 5, 1, 4, 8, 9, 2, 9, 7, 5, 4, 1, 6, 3, 8, 2, 5, 6, 9, 8, 3, 7, 1, 4, 7,
      1, 9, 5, 6, 2, 3, 8, 4, 8, 4, 2, 9, 3, 1, 5, 6, 7, 8, 7, 3, 5, 1, 2, 4, 9,
      6, 5, 4, 6, 8, 9, 2, 3, 7, 1, 7, 5, 8, 1, 3, 4, 9, 6, 2, 9, 2, 8, 7, 5, 1,
      3, 4, 6, 9, 2, 3, 4, 5, 1, 6, 8, 7, 4, 8, 9, 1, 3, 6, 7, 2, 5, 2, 6, 7, 9,
      1, 5, 4, 3, 8, 2, 6, 1, 9, 4, 7, 3, 8, 5, 5, 7, 4, 6, 8, 2, 1, 9, 3, 3, 7,
      9, 1, 8, 4, 5, 2, 6, 6, 1, 9, 3, 2, 7, 8, 5, 4, 7, 6, 3, 8, 4, 1, 2, 9, 5,
      4, 5, 2, 7, 6, 8, 3, 9, 1, 2, 9, 4, 8, 5, 7, 6, 3, 1, 4, 1, 8, 7, 3, 6, 2,
      9, 5, 1, 8, 2, 5, 7, 9, 4, 3, 6, 2, 8, 1, 4, 7, 5, 6, 9, 3, 7, 4, 5, 2, 6,
      8, 9, 1, 3, 2, 9, 8, 1, 5, 3, 6, 4, 7, 9, 7, 6, 4, 5, 8, 2, 1, 3, 6, 8, 1,
      3, 2, 4, 9, 7, 5, 8, 3, 2, 7, 1, 4, 9, 6, 5, 9, 5, 8, 7, 1, 4, 6, 3, 2, 7,
      8, 4, 6, 1, 5, 3, 9, 2, 8, 6, 7, 4, 3, 2, 9, 1, 5, 8, 7, 5, 4, 2, 9, 3, 6,
      1, 9, 4, 3, 7, 8, 1, 6, 2, 5, 1, 4, 5, 3, 7, 8, 6, 9, 2, 2, 4, 8, 5, 1, 3,
      6, 7, 9, 3, 1, 6, 9, 8, 2, 5, 7, 4, 2, 5, 3, 8, 9, 1, 7, 6, 4, 8, 5, 9, 2,
      4, 7, 6, 1, 3, 8, 1, 6, 2, 9, 5, 3, 4, 7, 4, 9, 2, 5, 6, 3, 8, 1, 7, 2, 9,
      8, 7, 3, 1, 4, 6, 5, 8, 7, 2, 1, 3, 5, 4, 6, 9, 9, 2, 4, 6, 3, 1, 7, 5, 8,
      8, 2, 1, 4, 7, 9, 3, 5, 6, 4, 9, 2, 8, 1, 5, 6, 3, 7, 4, 7, 1, 6, 3, 9, 2,
      5, 8, 1, 8, 5, 4, 2, 7, 9, 3, 6, 6, 2, 1, 8, 5, 3, 7, 9, 4, 6, 4, 3, 1, 9,
      2, 5, 8, 7
    ],
    "scale": 10000,
    "n": 9
  },
  "8": {
    "scaled_doubly_stochastic_matrix": [
      1586, 1052, 1013, 1574, 607, 1061, 726, 1876, 505, 971, 1939, 1169, 147,
      1071, 1275, 1227, 1092, 1109, 374, 959, 1014, 2287, 1449, 921, 691, 1402,
      903, 922, 760, 998, 1048, 1231, 1465, 709, 774, 2093, 672, 641, 2250,
      1385, 446, 912, 1311, 1361, 1022, 1345, 827, 598, 1077, 1817, 1789, 1006,
      1312, 229, 2159, 923, 1177, 609, 1456, 541, 1277, 458, 1400, 629, 1668,
      856, 1172, 665, 1137, 1233, 844, 1796, 1342, 1231, 925, 701, 1258, 899,
      1820, 881, 943
    ],
    "weights": [
      91, 28, 24, 53, 72, 49, 42, 164, 65, 125, 223, 504, 223, 94, 101, 124, 96,
      66, 146, 79, 72, 166, 467, 56, 16, 54, 261, 4, 84, 11, 119, 80, 367, 21,
      51, 247, 101, 103, 117, 135, 36, 45, 207, 72, 142, 40, 418, 17, 57, 9, 2,
      97, 19, 41, 159, 449, 10, 559, 84, 37, 32, 63, 214, 31, 89, 18, 35, 95,
      134, 98, 130, 92, 243, 377, 266, 143, 349, 64, 49, 21, 56
    ],
    "id": "B9_81_8",
    "permutations": [
      7, 1, 5, 4, 6, 3, 9, 2, 8, 9, 1, 2, 3, 8, 5, 6, 4, 7, 6, 1, 7, 8, 3, 2, 4,
      5, 9, 8, 9, 6, 5, 1, 3, 4, 2, 7, 6, 7, 8, 5, 9, 3, 2, 4, 1, 7, 6, 2, 3, 1,
      4, 9, 5, 8, 5, 7, 3, 6, 8, 2, 1, 4, 9, 1, 2, 7, 6, 4, 5, 8, 9, 3, 5, 2, 3,
      8, 1, 7, 9, 4, 6, 8, 7, 9, 1, 6, 2, 3, 4, 5, 9, 2, 6, 7, 3, 5, 1, 8, 4, 2,
      8, 4, 9, 3, 6, 5, 1, 7, 4, 8, 9, 2, 6, 1, 7, 3, 5, 6, 1, 4, 3, 5, 9, 7, 2,
      8, 4, 2, 9, 5, 7, 6, 3, 8, 1, 8, 6, 1, 2, 4, 7, 3, 9, 5, 8, 1, 2, 4, 6, 3,
      7, 9, 5, 6, 2, 4, 5, 3, 7, 8, 9, 1, 4, 1, 3, 6, 9, 5, 7, 2, 8, 8, 6, 2, 3,
      9, 7, 4, 5, 1, 5, 6, 4, 3, 9, 7, 8, 2, 1, 2, 6, 1, 4, 3, 5, 7, 9, 8, 8, 2,
      7, 9, 3, 4, 5, 6, 1, 3, 5, 4, 8, 6, 2, 7, 1, 9, 5, 1, 2, 8, 4, 3, 6, 9, 7,
      2, 5, 3, 9, 4, 8, 6, 7, 1, 3, 6, 5, 1, 9, 2, 7, 4, 8, 7, 8, 1, 3, 6, 4, 2,
      9, 5, 4, 9, 6, 2, 1, 8, 5, 3, 7, 7, 1, 5, 6, 9, 2, 4, 8, 3, 4, 8, 2, 6, 1,
      5, 9, 7, 3, 5, 7, 1, 3, 8, 2, 4, 6, 9, 4, 2, 8, 9, 7, 1, 3, 6, 5, 7, 3, 5,
      6, 9, 4, 8, 2, 1, 5, 3, 6, 2, 1, 8, 9, 7, 4, 8, 6, 4, 1, 5, 7, 2, 3, 9, 7,
      9, 5, 3, 8, 4, 1, 6, 2, 1, 5, 8, 9, 2, 6, 4, 7, 3, 5, 1, 6, 7, 4, 8, 9, 3,
      2, 6, 1, 3, 4, 7, 9, 8, 5, 2, 6, 8, 7, 4, 1, 5, 3, 2, 9, 1, 9, 8, 6, 7, 3,
      4, 5, 2, 8, 7, 4, 9, 3, 2, 6, 5, 1, 7, 2, 9, 5, 1, 6, 4, 3, 8, 9, 5, 8, 1,
      7, 6, 4, 2, 3, 1, 7, 8, 3, 2, 5, 6, 9, 4, 6, 9, 3, 5, 8, 4, 1, 2, 7, 5, 2,
      8, 3, 9, 4, 1, 6, 7, 2, 1, 6, 3, 8, 5, 7, 9, 4, 3, 6, 2, 8, 7, 1, 5, 9, 4,
      5, 6, 2, 7, 9, 1, 3, 4, 8, 6, 4, 9, 1, 3, 5, 7, 8, 2, 8, 5, 9, 1, 2, 6, 7,
      4, 3, 1, 8, 4, 6, 5, 3, 7, 9, 2, 4, 2, 5, 8, 3, 1, 6, 7, 9, 8, 3, 2, 5, 4,
      6, 1, 9, 7, 8, 9, 6, 4, 3, 1, 5, 7, 2, 1, 3, 4, 6, 8, 5, 9, 7, 2, 6, 7, 8,
      9, 3, 5, 1, 2, 4, 4, 7, 5, 9, 8, 3, 6, 1, 2, 9, 4, 2, 8, 7, 6, 3, 1, 5, 2,
      7, 3, 9, 6, 5, 1, 8, 4, 3, 5, 8, 4, 7, 1, 2, 9, 6, 9, 7, 2, 1, 6, 8, 3, 5,
      4, 5, 3, 8, 4, 6, 7, 1, 9, 2, 2, 4, 5, 7, 8, 6, 1, 9, 3, 6, 8, 3, 2, 4, 5,
      1, 7, 9, 4, 2, 8, 6, 9, 1, 3, 5, 7, 1, 5, 8, 4, 6, 7, 3, 2, 9, 2, 7, 6, 8,
      9, 3, 5, 4, 1, 1, 8, 5, 6, 2, 7, 3, 4, 9, 2, 1, 4, 6, 9, 8, 5, 3, 7, 4, 7,
      5, 2, 3, 8, 1, 9, 6, 7, 9, 5, 3, 4, 8, 1, 2, 6, 3, 6, 9, 8, 7, 1, 2, 4, 5,
      3, 2, 6, 9, 1, 8, 5, 7, 4, 1, 5, 4, 7, 2, 6, 9, 8, 3, 3, 1, 6, 9, 5, 8, 2,
      4, 7, 9, 7, 2, 8, 4, 3, 5, 6, 1, 1, 9, 6, 4, 8, 2, 7, 3, 5, 5, 7, 3, 4, 9,
      8, 2, 6, 1
    ],
    "scale": 10000,
    "n": 9
  },
  "3": {
    "scaled_doubly_stochastic_matrix": [
      465, 949, 1241, 1730, 1282, 1457, 1516, 822, 538, 1474, 1212, 794, 630,
      690, 236, 1874, 1995, 1095, 1299, 669, 725, 1324, 1112, 1640, 715, 880,
      1636, 1327, 969, 1208, 1497, 520, 1215, 924, 1518, 822, 1446, 1955, 1723,
      459, 627, 1655, 624, 697, 814, 1402, 909, 693, 940, 2005, 487, 1692, 1416,
      456, 454, 1106, 950, 1854, 1853, 1111, 442, 1043, 1187, 835, 1751, 1510,
      1265, 778, 782, 513, 260, 2306, 1298, 480, 1156, 301, 1133, 1417, 1700,
      1369, 1146
    ],
    "weights": [
      55, 44, 120, 134, 72, 176, 240, 87, 27, 235, 20, 178, 53, 92, 38, 320,
      206, 31, 78, 195, 677, 22, 106, 171, 245, 199, 67, 103, 50, 43, 349, 211,
      0, 99, 250, 282, 64, 16, 46, 54, 83, 20, 264, 31, 80, 63, 94, 16, 155, 74,
      393, 92, 4, 252, 104, 423, 82, 6, 279, 23, 13, 187, 63, 197, 36, 58, 90,
      178, 51, 26, 49, 74, 65, 54, 14, 48, 14, 43, 53, 22, 672
    ],
    "id": "B9_81_3",
    "permutations": [
      5, 4, 6, 3, 8, 7, 9, 2, 1, 6, 4, 3, 7, 8, 1, 9, 5, 2, 6, 1, 8, 2, 9, 7, 4,
      5, 3, 2, 9, 7, 3, 8, 1, 4, 5, 6, 7, 5, 9, 8, 3, 4, 2, 1, 6, 7, 8, 1, 6, 2,
      4, 9, 3, 5, 5, 9, 7, 4, 6, 8, 2, 3, 1, 2, 9, 1, 7, 3, 5, 6, 4, 8, 7, 8, 1,
      5, 4, 9, 2, 3, 6, 7, 8, 2, 9, 4, 5, 3, 6, 1, 9, 4, 5, 2, 8, 3, 1, 6, 7, 9,
      3, 4, 1, 6, 7, 2, 5, 8, 5, 2, 8, 9, 3, 6, 7, 4, 1, 7, 2, 3, 8, 5, 1, 6, 4,
      9, 2, 6, 5, 9, 7, 3, 1, 4, 8, 1, 7, 6, 8, 3, 5, 4, 2, 9, 4, 5, 1, 6, 2, 7,
      8, 3, 9, 8, 7, 3, 2, 5, 9, 4, 6, 1, 7, 2, 9, 4, 5, 8, 3, 1, 6, 7, 3, 4, 6,
      1, 2, 8, 9, 5, 6, 8, 9, 4, 3, 1, 5, 2, 7, 3, 9, 6, 1, 5, 2, 8, 4, 7, 2, 7,
      9, 5, 8, 1, 6, 3, 4, 4, 7, 1, 8, 3, 2, 5, 9, 6, 3, 7, 9, 1, 6, 5, 4, 2, 8,
      5, 3, 8, 6, 2, 9, 1, 4, 7, 3, 7, 6, 2, 5, 4, 9, 8, 1, 3, 8, 4, 7, 5, 9, 1,
      2, 6, 4, 6, 8, 2, 5, 1, 7, 9, 3, 4, 2, 3, 8, 1, 7, 6, 9, 5, 3, 1, 2, 9, 7,
      5, 8, 4, 6, 6, 2, 5, 7, 9, 3, 8, 4, 1, 9, 3, 7, 1, 5, 4, 8, 6, 2, 8, 2, 3,
      4, 9, 5, 6, 1, 7, 6, 9, 5, 1, 3, 8, 4, 2, 7, 7, 2, 1, 4, 6, 5, 3, 9, 8, 5,
      8, 7, 3, 6, 1, 2, 4, 9, 7, 3, 8, 5, 4, 6, 1, 9, 2, 6, 7, 8, 4, 5, 3, 9, 2,
      1, 3, 1, 4, 6, 5, 2, 8, 7, 9, 1, 3, 7, 2, 9, 4, 6, 8, 5, 5, 7, 1, 2, 8, 6,
      4, 9, 3, 4, 8, 1, 5, 9, 7, 6, 3, 2, 2, 9, 5, 6, 1, 8, 3, 4, 7, 5, 7, 8, 9,
      4, 1, 3, 6, 2, 7, 5, 2, 9, 3, 4, 6, 1, 8, 9, 2, 8, 5, 7, 6, 4, 1, 3, 4, 8,
      5, 7, 2, 9, 1, 3, 6, 7, 4, 8, 2, 1, 6, 3, 9, 5, 4, 3, 5, 1, 7, 9, 2, 8, 6,
      5, 8, 9, 3, 1, 2, 4, 7, 6, 9, 5, 7, 1, 2, 6, 4, 3, 8, 1, 6, 8, 9, 3, 5, 4,
      2, 7, 8, 4, 5, 1, 2, 3, 7, 6, 9, 2, 4, 5, 7, 6, 8, 9, 3, 1, 2, 7, 4, 3, 6,
      8, 9, 1, 5, 6, 5, 4, 8, 1, 7, 2, 3, 9, 3, 5, 6, 2, 7, 9, 8, 1, 4, 8, 1, 3,
      6, 2, 4, 5, 9, 7, 4, 6, 1, 8, 9, 7, 3, 5, 2, 6, 2, 4, 5, 8, 1, 3, 7, 9, 3,
      7, 4, 2, 1, 5, 6, 9, 8, 3, 6, 8, 2, 7, 1, 4, 5, 9, 4, 2, 6, 7, 1, 5, 9, 3,
      8, 9, 2, 4, 1, 5, 3, 6, 8, 7, 1, 6, 3, 7, 4, 8, 2, 9, 5, 8, 9, 5, 7, 1, 3,
      2, 6, 4, 5, 7, 6, 1, 8, 4, 2, 9, 3, 7, 5, 9, 3, 1, 8, 6, 2, 4, 2, 8, 5, 4,
      3, 1, 9, 6, 7, 8, 3, 6, 4, 2, 7, 9, 5, 1, 7, 9, 6, 3, 8, 2, 4, 5, 1, 9, 5,
      3, 2, 6, 8, 7, 4, 1, 3, 9, 7, 2, 6, 8, 5, 4, 1, 6, 2, 3, 7, 9, 8, 4, 5, 1,
      3, 9, 7, 2, 5, 8, 1, 6, 4, 4, 8, 9, 3, 2, 6, 1, 5, 7, 3, 9, 1, 8, 4, 6, 2,
      5, 7, 9, 5, 4, 6, 8, 1, 3, 7, 2, 8, 9, 2, 6, 1, 4, 7, 5, 3, 4, 1, 6, 8, 2,
      7, 5, 9, 3
    ],
    "scale": 10000,
    "n": 9
  },
  "1": {
    "scaled_doubly_stochastic_matrix": [
      564, 2171, 1412, 1620, 1474, 424, 535, 472, 1328, 722, 1122, 1523, 907,
      1479, 2487, 227, 530, 1003, 886, 1700, 799, 1143, 663, 869, 1004, 1788,
      1148, 2012, 855, 804, 1897, 826, 1042, 781, 1368, 415, 1428, 636, 1176,
      1555, 1605, 535, 876, 671, 1518, 1210, 147, 654, 708, 854, 1480, 1784,
      1524, 1639, 685, 1371, 1876, 753, 594, 1307, 1145, 866, 1403, 1548, 1172,
      1403, 284, 252, 786, 2367, 1267, 921, 945, 826, 353, 1133, 2253, 1070,
      1281, 1514, 625
    ],
    "weights": [
      264, 445, 80, 130, 20, 127, 1145, 74, 54, 141, 160, 222, 25, 364, 3, 12,
      44, 128, 294, 49, 27, 28, 24, 231, 17, 59, 266, 31, 26, 241, 84, 41, 70,
      77, 83, 40, 527, 213, 20, 102, 341, 253, 15, 187, 21, 59, 58, 140, 76,
      106, 32, 175, 8, 44, 26, 44, 11, 270, 90, 260, 72, 6, 35, 443, 40, 30, 25,
      319, 70, 39, 47, 77, 30, 4, 129, 17, 185, 68, 97, 36, 27
    ],
    "id": "B9_81_1",
    "permutations": [
      1, 5, 2, 7, 9, 6, 8, 3, 4, 3, 5, 4, 2, 8, 1, 6, 7, 9, 2, 6, 9, 1, 3, 4, 8,
      5, 7, 8, 3, 7, 5, 9, 6, 1, 2, 4, 4, 3, 8, 9, 5, 2, 7, 6, 1, 4, 6, 9, 2, 3,
      5, 7, 1, 8, 2, 6, 8, 4, 1, 9, 3, 7, 5, 4, 8, 3, 7, 9, 2, 5, 1, 6, 5, 6, 7,
      8, 4, 1, 3, 9, 2, 4, 5, 6, 1, 3, 8, 9, 2, 7, 2, 3, 8, 5, 4, 1, 9, 6, 7, 4,
      2, 7, 5, 6, 9, 8, 1, 3, 8, 5, 9, 6, 1, 4, 3, 2, 7, 7, 3, 2, 6, 4, 1, 9, 8,
      5, 5, 8, 4, 9, 7, 6, 2, 1, 3, 5, 7, 4, 1, 3, 6, 9, 2, 8, 3, 8, 4, 9, 7, 6,
      2, 5, 1, 5, 4, 8, 9, 6, 3, 1, 2, 7, 2, 3, 9, 1, 5, 7, 4, 6, 8, 7, 6, 1, 5,
      3, 8, 2, 4, 9, 6, 7, 1, 4, 9, 5, 3, 8, 2, 4, 7, 1, 5, 8, 9, 6, 2, 3, 1, 8,
      4, 5, 6, 7, 3, 9, 2, 9, 4, 2, 8, 3, 7, 6, 1, 5, 7, 8, 2, 3, 1, 4, 9, 6, 5,
      3, 4, 8, 9, 2, 7, 1, 5, 6, 4, 8, 9, 1, 5, 6, 7, 3, 2, 3, 4, 2, 9, 5, 6, 1,
      8, 7, 9, 6, 1, 8, 5, 2, 3, 4, 7, 9, 6, 1, 3, 7, 8, 4, 2, 5, 2, 5, 1, 8, 3,
      9, 4, 7, 6, 5, 9, 4, 8, 2, 7, 1, 6, 3, 6, 9, 2, 7, 4, 5, 3, 1, 8, 9, 1, 3,
      6, 8, 5, 4, 7, 2, 3, 5, 2, 4, 9, 6, 1, 8, 7, 5, 7, 2, 1, 6, 9, 3, 4, 8, 5,
      2, 7, 3, 9, 8, 6, 1, 4, 4, 1, 9, 6, 2, 5, 7, 3, 8, 6, 5, 9, 2, 7, 8, 3, 1,
      4, 6, 8, 1, 7, 9, 4, 5, 3, 2, 5, 1, 6, 4, 3, 8, 2, 9, 7, 3, 2, 4, 1, 9, 6,
      5, 7, 8, 9, 5, 6, 3, 1, 7, 2, 8, 4, 9, 3, 4, 7, 5, 1, 8, 2, 6, 9, 6, 3, 8,
      7, 4, 2, 5, 1, 3, 2, 9, 7, 8, 4, 5, 1, 6, 8, 5, 4, 6, 9, 3, 1, 2, 7, 5, 4,
      3, 1, 7, 6, 9, 2, 8, 3, 7, 4, 5, 1, 9, 6, 8, 2, 2, 3, 8, 6, 1, 7, 5, 9, 4,
      1, 6, 8, 9, 5, 7, 4, 2, 3, 1, 9, 5, 8, 4, 3, 7, 6, 2, 4, 7, 6, 1, 2, 8, 3,
      5, 9, 8, 4, 7, 2, 6, 5, 9, 3, 1, 3, 2, 8, 4, 5, 6, 9, 7, 1, 4, 5, 3, 8, 1,
      9, 7, 2, 6, 3, 4, 6, 5, 2, 7, 1, 9, 8, 9, 5, 6, 8, 2, 4, 7, 3, 1, 2, 9, 1,
      4, 5, 7, 3, 8, 6, 9, 6, 2, 1, 4, 5, 3, 7, 8, 5, 6, 8, 2, 3, 7, 9, 4, 1, 3,
      7, 6, 8, 4, 5, 1, 2, 9, 7, 2, 1, 5, 8, 3, 9, 6, 4, 4, 9, 3, 1, 5, 7, 2, 8,
      6, 6, 1, 8, 2, 7, 4, 3, 5, 9, 4, 7, 6, 9, 2, 5, 3, 1, 8, 1, 6, 9, 7, 5, 3,
      4, 8, 2, 3, 6, 5, 8, 4, 7, 2, 9, 1, 7, 9, 2, 6, 4, 3, 1, 8, 5, 5, 4, 9, 1,
      3, 6, 2, 8, 7, 2, 1, 6, 5, 4, 7, 9, 3, 8, 5, 3, 1, 2, 6, 4, 8, 7, 9, 8, 5,
      1, 2, 4, 3, 7, 9, 6, 4, 1, 5, 3, 2, 6, 9, 8, 7, 2, 4, 5, 6, 7, 8, 9, 3, 1,
      1, 9, 2, 5, 7, 4, 3, 6, 8, 8, 3, 2, 4, 7, 6, 9, 1, 5, 6, 4, 2, 9, 5, 8, 1,
      3, 7, 6, 9, 1, 8, 5, 3, 2, 4, 7, 2, 6, 5, 1, 7, 3, 8, 9, 4, 1, 4, 7, 5, 8,
      2, 9, 6, 3
    ],
    "scale": 10000,
    "n": 9
  }
}