{
  "_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": [
      10656, 8126, 8397, 14026, 12203, 4967, 18552, 14114, 3473, 5486, 9501,
      4524, 12941, 10911, 17123, 5672, 3592, 16640, 8475, 10621, 10131, 3582,
      8791, 6974, 12805, 19898, 9778, 4086, 15536, 8419, 3483, 14761, 6967,
      10284, 12608, 15861, 14681, 5798, 9081, 6476, 9737, 9420, 13828, 8826,
      6466, 8987, 7055, 15195, 13610, 6876, 13798, 19251, 1554, 2852, 16859,
      4689, 17335, 9156, 5393, 9113, 2818, 8852, 13433, 15950, 6854, 17021,
      9512, 5265, 11351, 8944, 6608, 8935, 15716, 11515, 6923, 7349, 5407,
      11112, 14819, 11616, 16755, 7932, 3057, 11524, 4745, 9812, 4247, 12734,
      13359, 15835, 16513, 14617, 15316, 7138, 3414, 5744, 9841, 5900, 4903,
      16614
    ],
    "weights": [
      1172, 2401, 650, 332, 283, 1491, 3128, 383, 470, 1130, 691, 1112, 128,
      1161, 5175, 1739, 136, 1853, 341, 58, 1735, 1059, 922, 444, 391, 340,
      3728, 3735, 164, 398, 1369, 307, 977, 750, 665, 1092, 18, 1157, 468, 1374,
      278, 948, 53, 145, 171, 31, 541, 3289, 2407, 16, 327, 3215, 1741, 4664,
      733, 94, 733, 1015, 448, 244, 294, 1292, 2175, 309, 230, 702, 938, 2211,
      1685, 602, 433, 46, 474, 283, 1859, 308, 800, 51, 507, 1024, 402, 584, 29,
      470, 1327, 69, 1100, 475, 1262, 2818, 463, 594, 1423, 451, 12, 479, 154,
      3879, 441, 1325
    ],
    "id": "B10_100_5",
    "permutations": [
      6, 1, 7, 9, 10, 5, 8, 4, 2, 3, 4, 5, 9, 6, 2, 7, 8, 1, 10, 3, 1, 7, 5, 4,
      10, 9, 6, 8, 3, 2, 3, 1, 8, 5, 7, 9, 2, 4, 6, 10, 8, 6, 7, 1, 10, 2, 3, 4,
      9, 5, 3, 8, 7, 2, 9, 1, 6, 5, 10, 4, 4, 10, 5, 6, 1, 2, 7, 8, 9, 3, 8, 2,
      7, 4, 5, 9, 6, 3, 10, 1, 10, 6, 7, 8, 9, 2, 5, 3, 4, 1, 5, 6, 9, 2, 8, 10,
      7, 4, 1, 3, 2, 10, 1, 9, 8, 7, 4, 3, 5, 6, 7, 3, 6, 9, 1, 8, 5, 4, 10, 2,
      2, 8, 3, 5, 9, 4, 10, 6, 1, 7, 5, 1, 3, 2, 4, 7, 9, 10, 6, 8, 1, 4, 6, 5,
      3, 7, 2, 9, 8, 10, 6, 3, 9, 5, 7, 4, 1, 8, 10, 2, 4, 10, 7, 1, 8, 5, 2, 3,
      6, 9, 2, 3, 1, 8, 4, 7, 5, 6, 9, 10, 4, 3, 9, 6, 2, 1, 7, 8, 5, 10, 4, 7,
      3, 8, 9, 5, 6, 2, 10, 1, 2, 5, 3, 7, 9, 6, 10, 1, 8, 4, 7, 8, 4, 10, 2, 9,
      6, 5, 1, 3, 5, 1, 4, 9, 7, 2, 3, 6, 10, 8, 1, 2, 3, 4, 8, 5, 9, 6, 7, 10,
      6, 5, 10, 9, 8, 4, 1, 3, 7, 2, 5, 10, 6, 8, 4, 7, 3, 9, 1, 2, 8, 10, 5, 7,
      3, 2, 4, 9, 6, 1, 5, 8, 9, 7, 6, 2, 4, 3, 1, 10, 2, 5, 10, 8, 1, 9, 3, 4,
      7, 6, 2, 10, 8, 6, 7, 5, 4, 9, 3, 1, 9, 4, 3, 6, 2, 8, 7, 5, 10, 1, 4, 6,
      7, 8, 10, 2, 1, 3, 9, 5, 8, 6, 10, 1, 4, 7, 3, 5, 2, 9, 3, 4, 2, 7, 8, 1,
      10, 9, 5, 6, 4, 10, 6, 2, 8, 3, 9, 7, 1, 5, 3, 9, 6, 5, 4, 1, 2, 8, 10, 7,
      3, 9, 8, 6, 10, 7, 1, 5, 2, 4, 2, 5, 6, 4, 8, 7, 3, 9, 1, 10, 7, 3, 10, 8,
      5, 9, 6, 1, 4, 2, 7, 2, 3, 8, 5, 10, 6, 4, 9, 1, 7, 10, 5, 6, 8, 2, 1, 3,
      4, 9, 1, 10, 8, 5, 3, 2, 6, 7, 9, 4, 7, 6, 3, 10, 1, 2, 8, 5, 4, 9, 5, 6,
      7, 1, 9, 3, 2, 4, 8, 10, 1, 6, 10, 7, 8, 3, 9, 2, 4, 5, 8, 5, 4, 2, 1, 6,
      3, 7, 10, 9, 8, 5, 6, 9, 7, 2, 10, 4, 3, 1, 7, 5, 10, 2, 8, 1, 6, 4, 9, 3,
      7, 9, 6, 5, 3, 8, 4, 2, 10, 1, 10, 2, 4, 8, 7, 6, 1, 9, 3, 5, 8, 1, 2, 3,
      5, 7, 4, 10, 6, 9, 7, 5, 9, 4, 6, 2, 3, 10, 1, 8, 1, 3, 5, 2, 8, 6, 7, 10,
      4, 9, 7, 9, 6, 10, 1, 5, 4, 3, 8, 2, 10, 4, 9, 1, 5, 6, 3, 8, 7, 2, 10, 8,
      1, 9, 2, 3, 5, 6, 4, 7, 1, 8, 10, 7, 2, 5, 6, 3, 9, 4, 2, 5, 1, 3, 9, 10,
      6, 7, 8, 4, 3, 7, 1, 4, 6, 10, 8, 5, 9, 2, 8, 2, 6, 5, 3, 9, 7, 10, 1, 4,
      5, 9, 2, 6, 4, 10, 8, 3, 7, 1, 10, 8, 3, 9, 2, 7, 5, 4, 6, 1, 4, 1, 10, 2,
      5, 8, 9, 3, 7, 6, 4, 10, 5, 7, 1, 8, 9, 6, 2, 3, 9, 8, 5, 10, 1, 2, 6, 4,
      3, 7, 2, 8, 3, 1, 4, 7, 9, 5, 10, 6, 5, 7, 6, 4, 8, 2, 9, 3, 1, 10, 5, 8,
      2, 3, 7, 1, 9, 6, 4, 10, 10, 6, 7, 2, 8, 5, 3, 9, 4, 1, 10, 2, 5, 4, 3, 9,
      7, 6, 1, 8, 8, 4, 5, 2, 7, 6, 9, 10, 1, 3, 6, 3, 4, 2, 1, 10, 8, 5, 7, 9,
      1, 7, 9, 5, 2, 8, 10, 6, 4, 3, 2, 4, 5, 7, 3, 8, 9, 6, 1, 10, 3, 5, 4, 7,
      10, 1, 9, 8, 6, 2, 1, 4, 7, 6, 9, 10, 5, 8, 3, 2, 3, 2, 1, 6, 4, 7, 8, 10,
      5, 9, 6, 4, 10, 7, 5, 1, 8, 3, 2, 9, 3, 2, 7, 1, 4, 8, 10, 9, 6, 5, 6, 7,
      8, 4, 9, 10, 3, 2, 1, 5, 4, 3, 1, 6, 8, 5, 2, 10, 9, 7, 4, 8, 7, 3, 2, 10,
      6, 9, 5, 1, 4, 3, 8, 9, 5, 1, 2, 6, 10, 7, 8, 4, 1, 10, 9, 5, 7, 3, 6, 2,
      5, 4, 9, 7, 8, 10, 6, 2, 1, 3, 6, 3, 4, 5, 9, 8, 1, 2, 10, 7, 3, 8, 6, 9,
      4, 10, 2, 1, 5, 7, 6, 8, 3, 9, 5, 2, 7, 10, 1, 4, 4, 3, 7, 9, 10, 1, 5, 8,
      2, 6, 8, 1, 4, 3, 9, 5, 6, 10, 2, 7, 4, 8, 6, 2, 7, 10, 5, 1, 3, 9, 10, 1,
      7, 8, 2, 4, 6, 5, 9, 3, 9, 8, 5, 4, 6, 1, 3, 7, 10, 2, 9, 6, 7, 2, 5, 8,
      10, 4, 3, 1, 1, 4, 8, 3, 6, 9, 7, 5, 10, 2, 7, 8, 1, 6, 2, 3, 10, 9, 5, 4,
      7, 2, 4, 8, 6, 9, 3, 5, 10, 1, 8, 3, 1, 6, 9, 5, 10, 2, 4, 7, 4, 8, 9, 6,
      3, 7, 2, 1, 10, 5, 4, 5, 8, 6, 10, 9, 3, 7, 2, 1
    ],
    "scale": 100000,
    "n": 10
  },
  "4": {
    "scaled_doubly_stochastic_matrix": [
      10890, 5599, 14784, 9704, 6535, 18226, 5325, 8706, 13131, 7100, 19344,
      6838, 7410, 7152, 10995, 8090, 4754, 13495, 16322, 5600, 7941, 15110,
      9107, 10975, 4151, 8651, 18408, 10062, 4208, 11387, 13396, 7641, 13511,
      29217, 6405, 3795, 5584, 5555, 6738, 8158, 7500, 9040, 9713, 9415, 10245,
      8583, 12530, 3641, 13765, 15568, 8888, 7261, 12614, 9580, 12237, 13878,
      4857, 11891, 6987, 11807, 6964, 5409, 9929, 13505, 8148, 9307, 7924,
      14573, 9150, 15091, 8407, 17513, 11027, 3308, 21232, 5415, 10226, 13697,
      5502, 3673, 5518, 15156, 7787, 5698, 10140, 5227, 13447, 4886, 21490,
      10651, 11152, 10433, 4118, 1446, 9912, 18828, 16945, 13494, 2707, 10965
    ],
    "weights": [
      498, 1066, 605, 736, 3851, 2952, 2331, 676, 1515, 3059, 2278, 245, 3430,
      695, 171, 826, 462, 444, 677, 306, 1330, 879, 342, 3505, 208, 1023, 2370,
      337, 483, 37, 179, 1777, 515, 621, 723, 500, 319, 166, 734, 2461, 57, 998,
      1875, 33, 12, 859, 862, 169, 2714, 224, 1428, 487, 243, 332, 1169, 888,
      1241, 2092, 663, 1656, 421, 2563, 1078, 222, 407, 333, 1806, 205, 48, 68,
      322, 469, 477, 863, 8257, 1885, 264, 1527, 189, 633, 2888, 87, 1235, 242,
      891, 267, 593, 750, 270, 384, 1764, 856, 171, 844, 940, 597, 77, 102,
      1327, 344
    ],
    "id": "B10_100_4",
    "permutations": [
      9, 3, 2, 5, 1, 4, 8, 10, 6, 7, 1, 9, 2, 10, 6, 4, 3, 7, 5, 8, 9, 1, 2, 4,
      7, 8, 10, 3, 5, 6, 4, 8, 10, 9, 6, 5, 3, 7, 2, 1, 4, 9, 1, 3, 2, 6, 10, 7,
      5, 8, 3, 9, 2, 4, 7, 6, 1, 5, 10, 8, 7, 6, 3, 2, 9, 8, 4, 5, 1, 10, 6, 5,
      2, 8, 4, 1, 9, 10, 7, 3, 5, 7, 8, 1, 4, 9, 3, 2, 6, 10, 3, 2, 6, 4, 9, 1,
      5, 8, 10, 7, 6, 5, 3, 1, 10, 2, 4, 8, 9, 7, 6, 10, 3, 1, 5, 7, 4, 8, 9, 2,
      9, 8, 6, 4, 5, 10, 7, 3, 2, 1, 3, 1, 10, 9, 8, 2, 4, 5, 6, 7, 3, 6, 1, 10,
      2, 4, 7, 8, 5, 9, 5, 2, 10, 8, 9, 4, 6, 7, 3, 1, 7, 3, 5, 6, 2, 10, 9, 4,
      1, 8, 5, 1, 4, 2, 9, 10, 3, 6, 7, 8, 6, 10, 7, 3, 8, 2, 4, 9, 1, 5, 10, 3,
      6, 5, 1, 9, 8, 4, 2, 7, 8, 9, 4, 5, 3, 6, 7, 2, 10, 1, 9, 4, 6, 8, 10, 3,
      2, 5, 7, 1, 6, 7, 2, 3, 10, 8, 4, 1, 9, 5, 3, 9, 7, 4, 1, 5, 10, 8, 2, 6,
      7, 1, 2, 5, 10, 6, 8, 3, 9, 4, 2, 5, 3, 6, 1, 7, 10, 4, 9, 8, 8, 3, 10, 4,
      7, 6, 2, 5, 9, 1, 8, 9, 4, 10, 6, 1, 2, 3, 5, 7, 1, 8, 10, 9, 5, 2, 4, 7,
      6, 3, 4, 1, 10, 3, 9, 8, 6, 2, 5, 7, 6, 9, 5, 3, 10, 8, 4, 1, 7, 2, 10, 5,
      1, 8, 4, 9, 6, 2, 3, 7, 7, 2, 8, 5, 9, 4, 10, 6, 3, 1, 6, 8, 10, 9, 3, 2,
      4, 5, 1, 7, 8, 1, 5, 7, 6, 10, 9, 2, 3, 4, 1, 2, 4, 3, 8, 5, 10, 6, 9, 7,
      2, 4, 10, 8, 7, 6, 9, 1, 5, 3, 6, 2, 3, 5, 8, 7, 10, 1, 4, 9, 3, 1, 2, 5,
      7, 8, 4, 9, 6, 10, 5, 1, 4, 10, 2, 9, 8, 3, 7, 6, 4, 5, 9, 1, 7, 3, 2, 6,
      10, 8, 10, 1, 7, 5, 4, 8, 6, 3, 2, 9, 3, 8, 5, 6, 9, 7, 1, 2, 4, 10, 6, 7,
      1, 3, 2, 8, 9, 10, 4, 5, 1, 6, 4, 2, 7, 3, 5, 8, 10, 9, 10, 4, 3, 1, 2, 8,
      5, 6, 9, 7, 6, 2, 4, 1, 9, 10, 5, 8, 3, 7, 5, 9, 4, 7, 6, 10, 1, 2, 8, 3,
      9, 8, 2, 10, 3, 4, 6, 1, 7, 5, 1, 7, 8, 2, 3, 5, 9, 10, 6, 4, 10, 3, 4, 5,
      9, 8, 7, 1, 2, 6, 2, 4, 10, 3, 6, 5, 7, 9, 1, 8, 8, 7, 1, 2, 5, 6, 3, 9,
      10, 4, 7, 2, 6, 4, 9, 5, 8, 1, 3, 10, 6, 5, 8, 7, 1, 10, 4, 2, 9, 3, 4, 3,
      1, 9, 6, 5, 2, 8, 7, 10, 8, 10, 9, 4, 6, 5, 3, 1, 7, 2, 2, 10, 7, 4, 3, 1,
      6, 8, 9, 5, 1, 4, 7, 2, 8, 3, 5, 6, 9, 10, 9, 1, 10, 3, 5, 6, 4, 2, 8, 7,
      1, 8, 10, 7, 6, 5, 4, 9, 2, 3, 1, 9, 8, 2, 7, 4, 3, 5, 10, 6, 2, 10, 3, 8,
      4, 5, 7, 1, 6, 9, 9, 3, 8, 5, 2, 6, 4, 10, 7, 1, 10, 2, 4, 3, 1, 8, 9, 6,
      7, 5, 2, 1, 7, 6, 4, 10, 9, 3, 8, 5, 6, 8, 7, 1, 4, 3, 10, 9, 2, 5, 5, 4,
      8, 1, 10, 6, 3, 7, 2, 9, 5, 9, 6, 10, 3, 2, 1, 8, 7, 4, 1, 6, 5, 9, 10, 7,
      2, 4, 8, 3, 6, 9, 10, 4, 1, 7, 3, 5, 8, 2, 10, 8, 1, 7, 5, 9, 2, 6, 4, 3,
      8, 1, 2, 3, 5, 4, 9, 10, 7, 6, 9, 8, 3, 4, 7, 5, 6, 2, 1, 10, 6, 1, 7, 4,
      10, 3, 8, 5, 9, 2, 4, 7, 8, 1, 9, 5, 10, 2, 3, 6, 9, 5, 3, 7, 4, 6, 2, 1,
      10, 8, 3, 1, 4, 9, 10, 8, 5, 2, 7, 6, 3, 1, 10, 4, 7, 9, 5, 6, 8, 2, 7, 4,
      9, 3, 10, 1, 5, 2, 8, 6, 1, 6, 2, 3, 5, 10, 9, 7, 4, 8, 9, 4, 10, 3, 5, 6,
      1, 2, 8, 7, 8, 4, 9, 7, 3, 1, 10, 6, 2, 5, 9, 7, 1, 3, 10, 8, 4, 5, 2, 6,
      1, 5, 10, 2, 4, 7, 8, 3, 9, 6, 2, 10, 1, 9, 5, 7, 3, 8, 4, 6, 6, 5, 10, 1,
      3, 2, 8, 4, 9, 7, 8, 3, 2, 7, 10, 4, 1, 9, 5, 6, 5, 7, 10, 2, 1, 9, 4, 8,
      3, 6, 4, 3, 10, 7, 2, 8, 1, 9, 5, 6, 4, 6, 8, 1, 7, 2, 9, 3, 5, 10, 10, 6,
      2, 9, 3, 1, 8, 4, 5, 7, 1, 2, 4, 3, 9, 6, 8, 7, 10, 5, 7, 4, 5, 3, 6, 8,
      9, 10, 2, 1, 1, 5, 9, 10, 8, 3, 4, 2, 7, 6, 5, 4, 6, 9, 2, 8, 1, 10, 3, 7,
      3, 8, 7, 10, 4, 5, 2, 6, 1, 9, 4, 3, 9, 6, 7, 2, 1, 10, 8, 5, 9, 5, 4, 1,
      6, 10, 3, 2, 8, 7, 9, 4, 2, 10, 6, 8, 5, 1, 7, 3
    ],
    "scale": 100000,
    "n": 10
  },
  "6": {
    "scaled_doubly_stochastic_matrix": [
      7603, 20778, 12778, 10417, 4386, 7616, 8502, 10800, 10498, 6622, 7760,
      12348, 13033, 15305, 12461, 9799, 6566, 3984, 5685, 13059, 15386, 9464,
      13921, 6915, 11605, 8305, 12655, 8191, 5622, 7936, 8134, 11740, 6363,
      5514, 11917, 19450, 14657, 9246, 7350, 5629, 9038, 5110, 7405, 5962, 3126,
      16085, 17880, 17449, 8130, 9815, 12599, 10585, 5370, 11464, 6340, 4550,
      9302, 15523, 12141, 12126, 9132, 4191, 4887, 13971, 15709, 10767, 5083,
      6054, 11647, 18559, 6993, 7902, 9262, 15113, 8885, 8506, 9045, 13793,
      11191, 9310, 4409, 13679, 8409, 6161, 14886, 7566, 9279, 11061, 11148,
      13402, 18946, 4203, 18572, 9178, 10685, 7356, 7031, 3899, 16588, 3542
    ],
    "weights": [
      1247, 149, 939, 3100, 57, 383, 424, 1678, 736, 198, 329, 124, 1190, 3145,
      1238, 186, 2, 1, 694, 3708, 1334, 935, 6426, 790, 271, 1882, 3100, 22,
      352, 28, 1841, 2079, 1425, 429, 1495, 859, 197, 1224, 366, 527, 3367,
      1314, 680, 25, 852, 534, 181, 1612, 1813, 50, 464, 1259, 670, 278, 1052,
      782, 581, 517, 1091, 19, 1077, 85, 1183, 218, 834, 213, 955, 634, 256,
      439, 762, 556, 2914, 182, 115, 663, 12, 123, 311, 459, 1085, 5093, 328,
      1583, 535, 1031, 645, 396, 367, 349, 393, 56, 1447, 2704, 1595, 926, 469,
      1661, 1599, 3496
    ],
    "id": "B10_100_6",
    "permutations": [
      2, 6, 4, 8, 3, 5, 9, 1, 10, 7, 5, 6, 4, 7, 2, 3, 1, 9, 8, 10, 7, 8, 2, 10,
      5, 6, 1, 3, 4, 9, 2, 5, 7, 6, 8, 10, 9, 1, 3, 4, 5, 3, 8, 9, 4, 2, 10, 7,
      1, 6, 7, 10, 6, 2, 8, 4, 5, 9, 1, 3, 4, 1, 3, 2, 10, 6, 8, 7, 5, 9, 8, 4,
      5, 1, 2, 10, 6, 7, 9, 3, 6, 9, 2, 7, 10, 1, 5, 8, 4, 3, 4, 3, 8, 5, 1, 9,
      10, 7, 6, 2, 7, 6, 5, 9, 1, 4, 3, 8, 10, 2, 10, 8, 4, 3, 6, 7, 2, 9, 1, 5,
      2, 8, 4, 3, 1, 9, 6, 7, 5, 10, 3, 5, 1, 8, 7, 9, 10, 4, 2, 6, 10, 1, 9, 2,
      7, 5, 8, 3, 6, 4, 10, 6, 4, 2, 7, 1, 3, 9, 5, 8, 5, 3, 10, 8, 6, 2, 9, 7,
      4, 1, 3, 2, 6, 1, 8, 4, 7, 5, 10, 9, 1, 9, 6, 7, 10, 3, 8, 5, 2, 4, 7, 5,
      2, 1, 8, 9, 4, 6, 10, 3, 10, 3, 5, 2, 8, 6, 7, 4, 1, 9, 8, 1, 10, 5, 6, 9,
      7, 3, 4, 2, 2, 10, 3, 6, 9, 8, 5, 4, 7, 1, 1, 4, 7, 3, 6, 8, 2, 10, 5, 9,
      1, 5, 10, 3, 9, 2, 8, 4, 7, 6, 4, 10, 8, 9, 6, 7, 1, 3, 5, 2, 2, 4, 5, 7,
      8, 1, 10, 6, 9, 3, 6, 5, 2, 3, 10, 4, 1, 8, 7, 9, 4, 8, 9, 10, 6, 5, 7, 3,
      2, 1, 6, 2, 5, 8, 3, 9, 4, 1, 7, 10, 8, 10, 6, 7, 3, 4, 1, 2, 9, 5, 1, 3,
      9, 5, 8, 7, 10, 4, 2, 6, 10, 1, 5, 7, 6, 2, 9, 3, 8, 4, 1, 3, 8, 9, 10, 5,
      6, 4, 2, 7, 6, 3, 5, 8, 1, 10, 9, 7, 2, 4, 8, 5, 1, 7, 3, 10, 9, 2, 6, 4,
      5, 3, 7, 10, 4, 1, 6, 2, 8, 9, 6, 7, 4, 3, 10, 8, 1, 5, 2, 9, 7, 1, 5, 2,
      6, 9, 4, 3, 10, 8, 6, 8, 1, 9, 2, 3, 4, 10, 5, 7, 9, 2, 1, 7, 6, 4, 10, 8,
      5, 3, 9, 2, 3, 10, 6, 8, 4, 7, 5, 1, 2, 1, 10, 4, 3, 8, 6, 7, 5, 9, 9, 3,
      6, 2, 7, 8, 10, 1, 4, 5, 1, 8, 5, 7, 9, 2, 3, 6, 4, 10, 8, 7, 9, 2, 6, 1,
      5, 4, 10, 3, 10, 4, 1, 6, 8, 7, 3, 9, 2, 5, 8, 4, 7, 9, 1, 3, 2, 10, 6, 5,
      3, 9, 4, 2, 6, 1, 8, 5, 10, 7, 6, 4, 10, 7, 2, 5, 3, 1, 8, 9, 8, 5, 2, 9,
      10, 1, 7, 4, 3, 6, 2, 7, 6, 1, 3, 10, 4, 8, 9, 5, 9, 2, 5, 1, 8, 6, 3, 10,
      4, 7, 6, 5, 3, 9, 4, 7, 10, 8, 1, 2, 5, 2, 1, 10, 3, 4, 8, 7, 6, 9, 1, 2,
      10, 6, 8, 7, 4, 3, 9, 5, 8, 3, 7, 6, 9, 5, 10, 1, 4, 2, 7, 2, 1, 5, 6, 4,
      3, 10, 8, 9, 9, 2, 7, 5, 4, 1, 3, 8, 6, 10, 2, 1, 9, 8, 4, 3, 7, 6, 5, 10,
      7, 9, 2, 8, 4, 1, 6, 5, 10, 3, 4, 5, 9, 2, 6, 7, 3, 8, 10, 1, 7, 9, 3, 5,
      8, 6, 10, 2, 4, 1, 3, 5, 2, 9, 6, 8, 10, 4, 7, 1, 3, 4, 1, 7, 10, 2, 9, 8,
      6, 5, 8, 2, 9, 3, 1, 7, 5, 4, 6, 10, 3, 4, 8, 2, 10, 9, 6, 7, 5, 1, 10, 6,
      7, 8, 4, 3, 2, 5, 1, 9, 10, 3, 8, 2, 4, 5, 1, 9, 7, 6, 4, 6, 9, 7, 3, 1,
      8, 2, 10, 5, 10, 3, 8, 1, 6, 4, 9, 5, 2, 7, 5, 7, 2, 8, 1, 4, 10, 3, 9, 6,
      4, 3, 7, 5, 1, 8, 6, 2, 10, 9, 8, 9, 2, 5, 1, 7, 4, 6, 10, 3, 10, 7, 2, 6,
      5, 3, 1, 8, 4, 9, 3, 4, 9, 6, 7, 1, 5, 10, 2, 8, 4, 2, 1, 8, 10, 9, 7, 5,
      3, 6, 1, 2, 10, 3, 7, 5, 8, 9, 4, 6, 2, 5, 1, 7, 4, 9, 6, 8, 10, 3, 8, 6,
      7, 5, 4, 1, 10, 3, 2, 9, 4, 6, 1, 9, 2, 3, 10, 5, 7, 8, 3, 4, 10, 6, 7, 2,
      5, 9, 8, 1, 8, 6, 5, 10, 2, 4, 9, 3, 7, 1, 1, 2, 3, 6, 4, 8, 10, 5, 9, 7,
      9, 10, 7, 4, 8, 3, 6, 1, 2, 5, 4, 7, 6, 8, 5, 10, 2, 1, 3, 9, 8, 1, 3, 2,
      5, 4, 10, 6, 7, 9, 4, 7, 8, 3, 5, 2, 6, 1, 10, 9, 10, 1, 6, 5, 2, 9, 7, 8,
      3, 4, 2, 4, 7, 3, 1, 8, 6, 10, 9, 5, 2, 10, 7, 5, 8, 1, 4, 9, 3, 6, 3, 7,
      4, 1, 10, 2, 6, 8, 5, 9, 5, 6, 2, 10, 7, 1, 4, 8, 3, 9, 2, 3, 6, 4, 7, 10,
      1, 9, 8, 5, 6, 2, 8, 4, 7, 5, 9, 10, 3, 1, 5, 7, 4, 6, 2, 9, 3, 10, 8, 1,
      8, 7, 3, 9, 10, 5, 4, 2, 6, 1, 6, 1, 8, 3, 7, 4, 5, 10, 2, 9, 4, 10, 3, 5,
      6, 2, 7, 9, 1, 8, 9, 6, 1, 2, 10, 7, 4, 8, 5, 3
    ],
    "scale": 100000,
    "n": 10
  },
  "7": {
    "scaled_doubly_stochastic_matrix": [
      13249, 8300, 11743, 6259, 13853, 4554, 12712, 11015, 4940, 13375, 11535,
      4244, 8261, 8990, 7542, 7570, 13226, 12447, 11136, 15049, 8922, 4201,
      7708, 10337, 8808, 2548, 15266, 20669, 11894, 9647, 10163, 15771, 9274,
      6907, 11501, 12270, 7286, 7839, 10288, 8701, 7937, 8316, 14780, 16685,
      8839, 15872, 6058, 8209, 8063, 5241, 10851, 16516, 14811, 15158, 3534,
      11701, 1380, 7402, 8545, 10102, 4442, 2909, 4662, 9346, 10379, 16505,
      23199, 5689, 9369, 13500, 16429, 7764, 12887, 11336, 11084, 11515, 9853,
      7268, 7651, 4213, 5435, 18104, 7345, 7897, 9704, 6722, 4825, 9147, 18739,
      12082, 11037, 13875, 8529, 7085, 14756, 10743, 6195, 10315, 9375, 8090
    ],
    "weights": [
      389, 572, 723, 2074, 1688, 802, 310, 535, 865, 687, 172, 347, 1417, 577,
      419, 271, 1484, 1143, 259, 163, 275, 1243, 2112, 783, 785, 401, 145, 2032,
      1838, 575, 384, 978, 163, 243, 422, 940, 3750, 3325, 270, 848, 1721, 942,
      3052, 13, 569, 4, 2728, 468, 776, 876, 2598, 153, 590, 411, 127, 596, 232,
      2073, 1401, 175, 669, 2816, 62, 447, 654, 377, 1827, 735, 619, 95, 1481,
      146, 1578, 34, 898, 4349, 81, 576, 386, 1839, 578, 4509, 715, 60, 251,
      3141, 662, 743, 1096, 170, 2954, 271, 939, 3673, 241, 1142, 2650, 483,
      108, 31
    ],
    "id": "B10_100_7",
    "permutations": [
      1, 6, 3, 2, 5, 4, 9, 7, 10, 8, 7, 4, 5, 2, 10, 6, 9, 3, 1, 8, 6, 4, 3, 7,
      2, 8, 5, 9, 10, 1, 5, 7, 9, 4, 3, 1, 6, 8, 2, 10, 9, 8, 4, 2, 7, 6, 5, 1,
      3, 10, 8, 10, 3, 5, 9, 1, 6, 7, 2, 4, 8, 6, 9, 5, 4, 2, 10, 3, 7, 1, 6,
      10, 1, 4, 9, 8, 3, 2, 7, 5, 5, 2, 9, 8, 1, 3, 7, 4, 6, 10, 5, 10, 4, 9, 6,
      3, 2, 8, 1, 7, 10, 8, 6, 9, 4, 3, 5, 2, 7, 1, 1, 2, 4, 6, 10, 8, 9, 3, 5,
      7, 1, 8, 2, 6, 4, 10, 9, 3, 7, 5, 9, 3, 2, 7, 5, 10, 8, 1, 4, 6, 4, 6, 3,
      1, 10, 9, 5, 8, 7, 2, 6, 1, 7, 3, 2, 4, 9, 5, 10, 8, 7, 10, 8, 9, 5, 1, 4,
      6, 3, 2, 6, 8, 7, 9, 1, 2, 3, 4, 10, 5, 10, 8, 6, 3, 2, 5, 9, 7, 4, 1, 10,
      1, 9, 6, 5, 4, 7, 8, 2, 3, 1, 3, 5, 9, 6, 7, 8, 10, 2, 4, 4, 8, 5, 3, 1,
      2, 10, 7, 9, 6, 7, 9, 10, 8, 3, 6, 1, 4, 2, 5, 10, 1, 7, 2, 8, 9, 4, 5, 6,
      3, 1, 7, 10, 3, 9, 2, 4, 6, 5, 8, 5, 8, 3, 6, 7, 2, 10, 4, 9, 1, 5, 8, 4,
      10, 2, 6, 1, 9, 7, 3, 1, 9, 7, 10, 3, 6, 8, 2, 5, 4, 3, 8, 10, 7, 9, 2, 5,
      4, 6, 1, 8, 3, 9, 5, 4, 6, 10, 7, 2, 1, 10, 8, 4, 2, 7, 3, 1, 5, 6, 9, 8,
      3, 7, 2, 1, 10, 4, 9, 5, 6, 2, 8, 6, 4, 1, 7, 3, 10, 5, 9, 10, 1, 4, 7, 8,
      6, 2, 5, 9, 3, 2, 1, 3, 9, 7, 6, 8, 5, 10, 4, 10, 6, 9, 8, 2, 3, 7, 5, 4,
      1, 1, 10, 8, 5, 3, 4, 7, 9, 2, 6, 1, 7, 8, 10, 6, 2, 4, 3, 9, 5, 2, 9, 8,
      10, 1, 4, 5, 7, 6, 3, 9, 6, 10, 5, 8, 2, 4, 1, 3, 7, 10, 8, 7, 4, 5, 9, 6,
      3, 2, 1, 3, 6, 10, 4, 9, 2, 7, 5, 8, 1, 8, 7, 4, 1, 6, 3, 5, 2, 9, 10, 7,
      5, 2, 9, 3, 1, 10, 8, 4, 6, 6, 7, 2, 5, 1, 8, 3, 10, 4, 9, 5, 7, 8, 10, 2,
      4, 6, 9, 3, 1, 5, 9, 8, 3, 4, 10, 6, 1, 2, 7, 4, 9, 10, 1, 6, 5, 7, 3, 8,
      2, 1, 10, 4, 8, 7, 5, 6, 3, 9, 2, 8, 4, 5, 10, 7, 3, 1, 6, 9, 2, 5, 10, 7,
      2, 8, 4, 9, 6, 1, 3, 1, 9, 10, 3, 2, 5, 6, 4, 8, 7, 2, 1, 8, 10, 3, 5, 7,
      9, 4, 6, 2, 8, 9, 7, 4, 6, 5, 3, 1, 10, 7, 9, 6, 4, 10, 2, 8, 1, 5, 3, 10,
      9, 1, 4, 8, 7, 3, 6, 2, 5, 3, 6, 5, 7, 9, 2, 10, 1, 4, 8, 7, 5, 1, 6, 3,
      2, 10, 8, 9, 4, 10, 6, 5, 1, 3, 8, 2, 9, 4, 7, 2, 5, 7, 6, 10, 9, 3, 4, 1,
      8, 3, 6, 8, 2, 1, 10, 9, 7, 4, 5, 8, 10, 5, 7, 4, 6, 9, 3, 2, 1, 10, 2, 9,
      3, 5, 8, 7, 4, 1, 6, 2, 7, 10, 1, 6, 8, 5, 4, 9, 3, 7, 8, 3, 4, 2, 6, 1,
      5, 10, 9, 4, 6, 7, 3, 10, 9, 8, 1, 5, 2, 9, 1, 6, 8, 4, 3, 10, 2, 7, 5, 6,
      1, 8, 10, 3, 4, 5, 7, 9, 2, 8, 7, 5, 2, 9, 4, 10, 6, 1, 3, 2, 8, 3, 4, 6,
      7, 10, 5, 9, 1, 7, 2, 1, 5, 9, 8, 3, 6, 10, 4, 7, 4, 9, 10, 1, 5, 8, 2, 3,
      6, 10, 1, 4, 5, 2, 3, 6, 7, 9, 8, 2, 5, 8, 6, 7, 1, 4, 10, 3, 9, 2, 5, 10,
      9, 1, 8, 6, 7, 4, 3, 2, 5, 8, 6, 4, 3, 7, 1, 10, 9, 10, 6, 8, 2, 7, 3, 5,
      4, 1, 9, 3, 6, 7, 8, 1, 9, 10, 5, 4, 2, 2, 6, 10, 7, 1, 9, 8, 4, 5, 3, 3,
      7, 9, 2, 4, 1, 10, 8, 6, 5, 6, 4, 3, 10, 9, 1, 2, 7, 8, 5, 10, 3, 9, 2, 6,
      4, 7, 1, 5, 8, 8, 2, 4, 3, 10, 1, 6, 7, 9, 5, 2, 8, 4, 7, 6, 10, 5, 9, 1,
      3, 4, 3, 10, 5, 9, 7, 8, 1, 2, 6, 5, 4, 1, 6, 8, 2, 7, 10, 3, 9, 3, 10, 4,
      2, 5, 1, 7, 6, 9, 8, 4, 2, 5, 8, 7, 9, 10, 1, 6, 3, 7, 3, 1, 5, 10, 4, 8,
      6, 9, 2, 3, 8, 10, 6, 7, 9, 4, 5, 1, 2, 7, 4, 3, 1, 6, 9, 10, 5, 8, 2, 5,
      7, 3, 9, 10, 4, 1, 6, 8, 2, 5, 10, 7, 1, 2, 8, 4, 6, 9, 3, 3, 1, 7, 9, 5,
      10, 6, 4, 8, 2, 8, 7, 10, 5, 4, 9, 6, 3, 2, 1, 3, 1, 2, 9, 10, 5, 6, 7, 4,
      8, 4, 9, 8, 3, 2, 1, 7, 5, 10, 6, 10, 8, 2, 1, 7, 4, 5, 3, 9, 6, 4, 1, 10,
      9, 5, 2, 7, 6, 8, 3, 8, 2, 5, 3, 1, 6, 9, 10, 4, 7
    ],
    "scale": 100000,
    "n": 10
  },
  "2": {
    "scaled_doubly_stochastic_matrix": [
      13889, 14971, 8972, 8114, 8795, 7813, 15344, 11404, 4849, 5849, 16918,
      5496, 15107, 18280, 5943, 9770, 8522, 7527, 7539, 4898, 17688, 4183,
      14193, 4018, 7873, 5374, 16703, 8213, 14222, 7533, 3787, 7812, 6516, 4529,
      19606, 10472, 7821, 4775, 19869, 14813, 7189, 8003, 7127, 13284, 8242,
      13357, 10178, 8263, 15600, 8757, 11239, 16109, 9327, 5930, 3644, 19421,
      9077, 8480, 6467, 10306, 6474, 12176, 2190, 14335, 13830, 7826, 11160,
      14698, 4195, 13116, 3590, 11766, 13036, 11538, 11021, 6749, 8653, 16590,
      7772, 9285, 7428, 2146, 14751, 4625, 7924, 13172, 11404, 7616, 11556,
      19378, 11798, 17338, 8781, 15347, 13122, 6046, 1138, 12434, 7931, 6065
    ],
    "weights": [
      231, 1069, 2960, 1259, 474, 117, 741, 1407, 1204, 1657, 148, 375, 213,
      2585, 75, 2768, 73, 1073, 395, 458, 22, 3794, 277, 2124, 420, 3349, 1072,
      2669, 782, 267, 2561, 463, 195, 443, 39, 1749, 3625, 1939, 1529, 1437,
      988, 228, 1757, 293, 628, 770, 388, 287, 675, 177, 16, 1482, 216, 2665,
      515, 204, 14, 742, 1255, 1509, 740, 1184, 306, 1265, 1846, 496, 906, 791,
      740, 3329, 227, 411, 161, 1038, 451, 31, 57, 875, 528, 1117, 346, 1070,
      1021, 422, 3, 933, 1268, 4036, 1029, 310, 1876, 692, 783, 394, 55, 560,
      949, 569, 1670, 2668
    ],
    "id": "B10_100_2",
    "permutations": [
      6, 1, 5, 7, 10, 8, 4, 3, 2, 9, 1, 2, 3, 9, 5, 4, 7, 6, 8, 10, 6, 1, 9, 3,
      7, 8, 4, 2, 10, 5, 7, 6, 2, 1, 3, 8, 5, 10, 9, 4, 4, 8, 10, 7, 6, 5, 3, 9,
      2, 1, 8, 6, 9, 4, 3, 5, 10, 2, 1, 7, 4, 7, 8, 10, 3, 2, 5, 6, 1, 9, 5, 6,
      10, 7, 9, 4, 2, 8, 1, 3, 2, 3, 8, 9, 5, 6, 10, 7, 4, 1, 1, 8, 3, 5, 9, 2,
      4, 7, 10, 6, 7, 1, 3, 6, 4, 2, 10, 5, 9, 8, 9, 8, 3, 2, 7, 6, 5, 4, 1, 10,
      4, 10, 5, 3, 6, 2, 8, 7, 9, 1, 1, 6, 9, 8, 2, 7, 10, 4, 3, 5, 9, 2, 1, 4,
      6, 10, 8, 7, 3, 5, 2, 9, 7, 10, 6, 1, 4, 3, 5, 8, 9, 7, 8, 4, 1, 3, 5, 2,
      6, 10, 6, 5, 9, 7, 4, 3, 8, 1, 10, 2, 4, 5, 3, 7, 10, 8, 9, 6, 1, 2, 5, 3,
      10, 8, 2, 1, 9, 4, 7, 6, 6, 5, 7, 2, 1, 3, 9, 10, 8, 4, 7, 4, 5, 9, 1, 10,
      8, 3, 6, 2, 5, 9, 3, 7, 8, 6, 2, 1, 4, 10, 3, 1, 9, 10, 5, 6, 8, 2, 7, 4,
      4, 1, 7, 3, 5, 2, 6, 10, 9, 8, 3, 9, 1, 2, 7, 6, 4, 8, 10, 5, 5, 3, 4, 10,
      1, 9, 7, 6, 8, 2, 2, 4, 3, 9, 8, 7, 1, 5, 6, 10, 1, 4, 3, 6, 5, 7, 8, 9,
      10, 2, 10, 5, 4, 3, 6, 9, 2, 8, 7, 1, 10, 1, 8, 5, 9, 6, 4, 7, 3, 2, 8, 1,
      7, 10, 6, 3, 4, 2, 9, 5, 7, 4, 9, 3, 6, 1, 8, 2, 10, 5, 4, 7, 2, 10, 9, 6,
      5, 8, 1, 3, 7, 1, 10, 4, 6, 8, 9, 3, 5, 2, 2, 1, 10, 5, 9, 8, 7, 4, 6, 3,
      7, 3, 1, 5, 9, 6, 2, 8, 10, 4, 2, 3, 7, 5, 4, 10, 1, 8, 9, 6, 8, 2, 1, 9,
      7, 3, 10, 6, 5, 4, 2, 7, 6, 1, 9, 3, 5, 10, 8, 4, 1, 5, 2, 9, 3, 6, 7, 4,
      10, 8, 1, 10, 2, 8, 3, 4, 9, 7, 5, 6, 10, 2, 3, 5, 8, 9, 6, 4, 7, 1, 4, 8,
      9, 1, 10, 5, 7, 3, 6, 2, 4, 8, 5, 7, 10, 6, 3, 1, 2, 9, 4, 10, 3, 5, 6, 9,
      1, 2, 7, 8, 6, 3, 9, 1, 4, 8, 7, 2, 5, 10, 3, 10, 6, 7, 4, 2, 9, 1, 8, 5,
      4, 5, 9, 10, 3, 2, 8, 6, 1, 7, 8, 1, 9, 10, 4, 7, 5, 3, 6, 2, 7, 8, 6, 1,
      4, 9, 3, 5, 2, 10, 1, 6, 5, 10, 8, 3, 7, 2, 9, 4, 8, 10, 1, 7, 2, 4, 3, 5,
      9, 6, 1, 7, 4, 5, 6, 10, 2, 8, 3, 9, 4, 2, 1, 9, 5, 7, 3, 10, 6, 8, 2, 4,
      10, 9, 5, 8, 1, 3, 7, 6, 8, 7, 4, 5, 1, 9, 6, 3, 2, 10, 3, 9, 6, 7, 10, 2,
      8, 1, 5, 4, 5, 1, 3, 9, 4, 8, 7, 10, 6, 2, 4, 6, 9, 3, 10, 2, 8, 5, 7, 1,
      7, 1, 9, 4, 5, 10, 6, 2, 8, 3, 8, 6, 1, 9, 5, 4, 2, 3, 7, 10, 8, 5, 3, 4,
      7, 6, 1, 2, 10, 9, 9, 8, 2, 4, 1, 5, 10, 6, 7, 3, 6, 10, 7, 2, 9, 3, 8, 5,
      1, 4, 6, 2, 5, 7, 4, 3, 10, 9, 1, 8, 1, 7, 8, 9, 4, 3, 10, 5, 6, 2, 3, 7,
      1, 9, 8, 6, 2, 4, 10, 5, 1, 3, 8, 2, 7, 6, 10, 5, 4, 9, 8, 4, 7, 10, 6, 1,
      5, 9, 3, 2, 1, 6, 3, 4, 7, 5, 9, 8, 10, 2, 3, 7, 1, 8, 2, 4, 9, 5, 10, 6,
      9, 10, 3, 7, 8, 6, 1, 2, 5, 4, 4, 7, 3, 9, 8, 10, 5, 2, 6, 1, 6, 8, 10, 2,
      3, 4, 9, 5, 7, 1, 2, 5, 9, 7, 8, 4, 3, 10, 6, 1, 2, 9, 1, 4, 8, 7, 10, 5,
      6, 3, 5, 8, 10, 7, 9, 1, 6, 4, 3, 2, 9, 3, 6, 7, 10, 2, 5, 1, 4, 8, 8, 3,
      1, 10, 2, 6, 9, 7, 5, 4, 6, 9, 8, 5, 2, 1, 4, 3, 10, 7, 7, 1, 8, 4, 6, 2,
      10, 5, 9, 3, 8, 1, 6, 5, 4, 2, 10, 9, 7, 3, 7, 4, 9, 10, 2, 6, 1, 5, 3, 8,
      10, 7, 8, 3, 2, 9, 1, 6, 5, 4, 2, 8, 9, 5, 10, 4, 7, 3, 1, 6, 3, 1, 7, 6,
      10, 5, 2, 4, 8, 9, 7, 3, 1, 6, 4, 2, 5, 10, 9, 8, 9, 4, 5, 2, 6, 1, 10, 7,
      8, 3, 2, 5, 7, 8, 4, 6, 3, 10, 9, 1, 8, 5, 10, 6, 2, 9, 7, 3, 4, 1, 10, 1,
      3, 6, 7, 9, 2, 4, 8, 5, 5, 10, 1, 8, 4, 7, 6, 3, 2, 9, 9, 10, 6, 1, 4, 2,
      5, 3, 7, 8, 8, 2, 3, 9, 4, 10, 7, 1, 6, 5, 1, 8, 3, 4, 10, 7, 9, 5, 6, 2,
      9, 4, 6, 3, 1, 7, 10, 2, 5, 8, 10, 4, 8, 5, 2, 1, 6, 7, 3, 9, 2, 4, 7, 6,
      10, 1, 8, 9, 3, 5, 5, 4, 7, 9, 3, 2, 6, 8, 10, 1
    ],
    "scale": 100000,
    "n": 10
  },
  "10": {
    "scaled_doubly_stochastic_matrix": [
      10779, 11873, 9057, 2611, 17809, 11727, 12143, 12914, 7717, 3370, 8955,
      12690, 17629, 9121, 7469, 7935, 5598, 7269, 11174, 12160, 9088, 7620,
      5043, 9266, 11223, 11641, 10909, 11498, 15018, 8694, 10957, 11790, 8943,
      19036, 4824, 6059, 10156, 12058, 7068, 9109, 4080, 3062, 15573, 11759,
      2864, 22130, 16595, 8717, 8422, 6798, 13168, 11649, 3627, 7947, 4218,
      10967, 14397, 7847, 13761, 12419, 15348, 9238, 8950, 3969, 8445, 6111,
      12750, 8586, 15910, 10693, 11198, 14071, 11377, 6735, 16208, 10149, 2735,
      8418, 5886, 13223, 6300, 10757, 4732, 14043, 17894, 6418, 6341, 9535,
      11407, 12573, 10127, 7250, 15069, 15513, 9046, 6863, 8376, 13158, 3637,
      10961
    ],
    "weights": [
      190, 589, 1668, 1034, 952, 1179, 141, 1922, 890, 2630, 1580, 798, 1342,
      453, 1167, 1370, 1648, 1190, 392, 544, 1593, 745, 2168, 1451, 2207, 1459,
      1584, 3250, 292, 19, 234, 301, 281, 782, 3490, 635, 1238, 601, 877, 2494,
      206, 875, 1322, 737, 107, 62, 23, 341, 1523, 612, 733, 755, 664, 699,
      1345, 545, 137, 1111, 59, 731, 104, 1760, 908, 1023, 635, 33, 1634, 995,
      550, 117, 569, 1412, 1603, 475, 842, 1125, 607, 1166, 1018, 501, 1680,
      131, 615, 3883, 1363, 1123, 384, 4039, 556, 1006, 1631, 954, 713, 617,
      973, 1196, 953, 100, 753, 286
    ],
    "id": "B10_100_10",
    "permutations": [
      4, 1, 5, 8, 9, 6, 10, 3, 2, 7, 9, 4, 10, 6, 3, 7, 2, 5, 1, 8, 8, 3, 6, 10,
      7, 2, 1, 5, 9, 4, 8, 2, 4, 1, 3, 10, 7, 9, 6, 5, 1, 6, 9, 5, 2, 3, 7, 10,
      4, 8, 5, 2, 9, 6, 4, 3, 10, 1, 8, 7, 7, 10, 6, 8, 9, 5, 1, 2, 3, 4, 5, 4,
      6, 1, 3, 7, 10, 2, 9, 8, 5, 6, 7, 3, 1, 2, 9, 8, 4, 10, 3, 10, 7, 1, 6, 9,
      5, 2, 8, 4, 8, 3, 5, 10, 7, 1, 4, 9, 2, 6, 2, 9, 7, 1, 3, 4, 8, 10, 5, 6,
      9, 3, 5, 1, 8, 2, 6, 7, 10, 4, 5, 1, 7, 4, 2, 3, 10, 6, 8, 9, 5, 6, 8, 9,
      7, 10, 3, 2, 1, 4, 5, 6, 1, 8, 10, 9, 3, 7, 2, 4, 6, 1, 8, 4, 7, 9, 10, 5,
      2, 3, 2, 4, 9, 8, 5, 7, 3, 10, 6, 1, 3, 1, 6, 8, 5, 4, 2, 9, 10, 7, 1, 8,
      4, 6, 7, 10, 3, 9, 5, 2, 5, 7, 8, 3, 6, 4, 2, 1, 10, 9, 5, 7, 8, 6, 9, 1,
      10, 2, 4, 3, 6, 9, 2, 3, 7, 8, 10, 1, 4, 5, 9, 8, 2, 5, 6, 10, 1, 3, 4, 7,
      10, 2, 9, 8, 7, 6, 3, 4, 5, 1, 8, 10, 5, 2, 7, 6, 1, 9, 3, 4, 8, 3, 9, 1,
      6, 10, 7, 5, 4, 2, 2, 8, 10, 4, 6, 9, 7, 5, 1, 3, 7, 1, 10, 3, 6, 4, 2, 8,
      9, 5, 4, 8, 9, 1, 2, 5, 7, 10, 3, 6, 8, 9, 5, 4, 2, 6, 1, 10, 7, 3, 2, 8,
      3, 4, 6, 1, 9, 5, 10, 7, 9, 7, 10, 1, 2, 5, 4, 3, 8, 6, 8, 3, 7, 9, 6, 1,
      2, 5, 10, 4, 2, 5, 7, 4, 3, 1, 9, 6, 10, 8, 7, 1, 10, 4, 6, 9, 2, 3, 5, 8,
      9, 5, 6, 10, 7, 8, 4, 3, 2, 1, 4, 1, 9, 10, 3, 7, 5, 6, 2, 8, 3, 6, 5, 7,
      4, 8, 2, 9, 1, 10, 5, 1, 4, 2, 8, 7, 9, 6, 10, 3, 7, 6, 5, 8, 9, 3, 2, 1,
      4, 10, 9, 2, 3, 8, 1, 4, 5, 10, 6, 7, 5, 4, 9, 7, 3, 8, 1, 10, 2, 6, 7, 6,
      2, 10, 8, 3, 1, 4, 9, 5, 7, 2, 8, 5, 1, 6, 10, 3, 9, 4, 6, 10, 3, 5, 8, 9,
      7, 1, 4, 2, 1, 5, 6, 10, 3, 8, 9, 7, 4, 2, 7, 10, 3, 9, 8, 1, 6, 4, 2, 5,
      6, 3, 4, 10, 7, 5, 9, 2, 8, 1, 8, 6, 9, 7, 10, 2, 1, 4, 5, 3, 6, 2, 4, 5,
      7, 9, 1, 3, 8, 10, 1, 10, 7, 4, 6, 8, 9, 5, 3, 2, 6, 9, 1, 7, 4, 5, 8, 10,
      3, 2, 9, 10, 1, 6, 8, 2, 5, 4, 3, 7, 5, 3, 6, 7, 9, 4, 8, 1, 2, 10, 1, 2,
      8, 3, 4, 7, 6, 10, 9, 5, 1, 3, 8, 4, 6, 2, 7, 10, 5, 9, 9, 2, 7, 4, 3, 6,
      8, 1, 5, 10, 7, 4, 6, 1, 10, 9, 2, 8, 5, 3, 1, 5, 8, 9, 6, 7, 2, 3, 10, 4,
      10, 8, 5, 6, 7, 9, 1, 4, 2, 3, 1, 3, 6, 8, 4, 7, 9, 2, 5, 10, 6, 9, 10, 2,
      3, 8, 7, 1, 4, 5, 7, 3, 6, 4, 8, 10, 2, 1, 9, 5, 4, 2, 10, 6, 3, 1, 9, 8,
      7, 5, 1, 3, 2, 10, 9, 4, 5, 6, 8, 7, 1, 10, 4, 2, 6, 7, 5, 3, 9, 8, 1, 9,
      2, 6, 10, 4, 7, 5, 3, 8, 3, 9, 2, 4, 5, 10, 1, 8, 6, 7, 10, 9, 2, 3, 5, 6,
      4, 8, 7, 1, 3, 7, 9, 6, 4, 1, 10, 2, 5, 8, 5, 3, 9, 2, 8, 6, 1, 10, 7, 4,
      7, 5, 10, 3, 4, 9, 8, 1, 6, 2, 2, 8, 3, 1, 9, 6, 5, 4, 10, 7, 10, 9, 8, 3,
      4, 1, 5, 6, 7, 2, 7, 8, 5, 4, 10, 2, 1, 3, 9, 6, 1, 6, 5, 3, 8, 10, 2, 4,
      9, 7, 4, 9, 5, 7, 3, 10, 2, 8, 6, 1, 7, 1, 4, 5, 9, 6, 3, 10, 2, 8, 6, 7,
      10, 5, 1, 4, 3, 2, 8, 9, 8, 2, 3, 9, 4, 10, 7, 6, 5, 1, 9, 6, 5, 7, 4, 10,
      8, 2, 1, 3, 8, 1, 2, 9, 5, 7, 10, 3, 4, 6, 7, 10, 8, 2, 9, 1, 6, 5, 4, 3,
      2, 3, 1, 4, 6, 7, 8, 10, 9, 5, 1, 3, 9, 8, 2, 4, 7, 10, 5, 6, 1, 5, 6, 4,
      3, 2, 10, 8, 9, 7, 3, 4, 1, 7, 6, 2, 9, 8, 5, 10, 1, 10, 3, 9, 7, 8, 5, 6,
      4, 2, 2, 9, 5, 4, 10, 6, 7, 3, 8, 1, 5, 2, 9, 8, 10, 6, 1, 3, 7, 4, 6, 3,
      2, 4, 1, 9, 8, 10, 5, 7, 8, 7, 6, 1, 4, 9, 10, 2, 5, 3, 6, 1, 9, 4, 3, 5,
      8, 10, 7, 2, 7, 9, 6, 8, 3, 5, 1, 2, 10, 4, 6, 7, 5, 9, 4, 10, 1, 2, 8, 3,
      8, 2, 1, 10, 6, 7, 3, 4, 5, 9, 10, 6, 8, 1, 9, 3, 5, 2, 7, 4, 6, 9, 3, 10,
      1, 2, 4, 5, 7, 8, 5, 6, 4, 3, 9, 10, 2, 8, 1, 7
    ],
    "scale": 100000,
    "n": 10
  },
  "9": {
    "scaled_doubly_stochastic_matrix": [
      16050, 12495, 5516, 2320, 11936, 6553, 11652, 12767, 8917, 11794, 11838,
      8113, 10849, 7869, 4613, 12149, 8882, 19722, 6063, 9902, 9039, 11033,
      16840, 10854, 8303, 4430, 6551, 6345, 19738, 6867, 11049, 7026, 14231,
      13904, 8365, 6322, 9156, 10707, 9691, 9549, 8554, 15972, 2101, 13316,
      5319, 13510, 12858, 6655, 8288, 13427, 13235, 14421, 11203, 6076, 17599,
      5598, 8468, 3961, 6242, 13197, 4804, 6669, 3946, 15489, 13159, 9768, 8781,
      17339, 10856, 9189, 8758, 12046, 13768, 10446, 10968, 11916, 6674, 9670,
      7692, 8062, 11324, 2651, 10952, 9592, 11762, 16932, 11755, 4719, 8478,
      11835, 5349, 9574, 10594, 10134, 7976, 12822, 15223, 8115, 14035, 6178
    ],
    "weights": [
      735, 1007, 1814, 3124, 1400, 554, 3247, 4418, 139, 2258, 1945, 1627, 1114,
      985, 204, 898, 238, 34, 1388, 189, 1745, 1, 1657, 122, 1017, 328, 849,
      972, 449, 196, 1557, 77, 1839, 136, 140, 115, 1914, 424, 240, 345, 2304,
      3970, 1921, 811, 1090, 1081, 1395, 178, 2781, 396, 643, 3066, 138, 754,
      618, 24, 111, 138, 174, 1003, 34, 127, 1746, 820, 171, 1680, 3780, 488,
      140, 568, 446, 872, 908, 961, 3453, 558, 1069, 468, 333, 505, 1110, 389,
      421, 47, 740, 741, 1645, 2290, 1005, 1229, 19, 166, 642, 349, 156, 372,
      534, 2174, 1215, 1592
    ],
    "id": "B10_100_9",
    "permutations": [
      3, 8, 9, 2, 4, 1, 6, 5, 10, 7, 10, 6, 4, 7, 9, 3, 5, 2, 1, 8, 9, 8, 7, 4,
      1, 3, 5, 6, 10, 2, 10, 1, 9, 2, 6, 5, 8, 3, 4, 7, 2, 4, 5, 3, 10, 9, 8, 7,
      6, 1, 7, 5, 10, 4, 8, 3, 2, 9, 1, 6, 7, 1, 9, 10, 4, 2, 8, 6, 5, 3, 8, 2,
      9, 3, 7, 10, 4, 5, 1, 6, 6, 1, 8, 5, 10, 9, 3, 2, 7, 4, 5, 8, 2, 9, 4, 10,
      6, 1, 3, 7, 8, 7, 4, 3, 2, 10, 1, 5, 9, 6, 10, 3, 2, 6, 7, 5, 1, 8, 9, 4,
      2, 6, 7, 10, 3, 4, 9, 1, 5, 8, 9, 7, 5, 1, 8, 3, 10, 4, 6, 2, 1, 10, 3, 8,
      2, 7, 9, 4, 5, 6, 1, 3, 5, 10, 2, 4, 7, 9, 6, 8, 7, 2, 1, 8, 9, 5, 10, 6,
      3, 4, 10, 9, 7, 6, 2, 8, 4, 1, 3, 5, 1, 3, 6, 7, 10, 2, 9, 5, 8, 4, 8, 7,
      10, 9, 5, 3, 1, 6, 2, 4, 5, 10, 4, 9, 7, 8, 2, 3, 1, 6, 5, 1, 8, 3, 9, 6,
      4, 7, 10, 2, 7, 8, 6, 9, 2, 10, 5, 1, 3, 4, 6, 2, 8, 7, 5, 3, 1, 9, 4, 10,
      9, 10, 8, 6, 2, 5, 3, 7, 4, 1, 6, 8, 5, 7, 3, 10, 9, 2, 1, 4, 7, 8, 9, 3,
      1, 6, 5, 4, 10, 2, 10, 7, 1, 9, 5, 2, 4, 8, 3, 6, 2, 8, 3, 1, 9, 5, 4, 7,
      10, 6, 8, 9, 2, 3, 1, 5, 6, 4, 7, 10, 1, 5, 7, 2, 10, 3, 4, 6, 9, 8, 4, 5,
      8, 6, 9, 3, 1, 10, 7, 2, 1, 4, 10, 8, 2, 7, 9, 3, 6, 5, 8, 2, 5, 9, 4, 3,
      1, 6, 10, 7, 4, 7, 3, 6, 9, 8, 1, 2, 10, 5, 3, 5, 4, 2, 1, 9, 6, 10, 8, 7,
      8, 3, 9, 1, 5, 2, 4, 6, 7, 10, 10, 8, 7, 1, 4, 3, 6, 9, 2, 5, 2, 8, 4, 5,
      1, 3, 7, 6, 10, 9, 3, 8, 7, 6, 1, 4, 9, 2, 10, 5, 10, 4, 3, 8, 7, 1, 5, 9,
      6, 2, 1, 8, 3, 4, 2, 7, 5, 10, 6, 9, 7, 3, 9, 8, 10, 5, 4, 1, 6, 2, 5, 3,
      1, 4, 7, 9, 10, 8, 2, 6, 10, 4, 2, 1, 9, 5, 6, 8, 7, 3, 7, 1, 10, 3, 9, 5,
      8, 2, 4, 6, 6, 1, 4, 3, 7, 5, 8, 2, 10, 9, 5, 10, 3, 7, 6, 1, 4, 8, 2, 9,
      8, 10, 5, 1, 6, 2, 7, 4, 9, 3, 8, 6, 4, 1, 2, 9, 3, 5, 10, 7, 1, 2, 9, 7,
      5, 8, 10, 4, 3, 6, 2, 6, 10, 4, 1, 3, 9, 7, 5, 8, 1, 4, 3, 5, 10, 9, 7, 6,
      2, 8, 1, 6, 9, 2, 8, 5, 3, 10, 7, 4, 8, 4, 2, 3, 9, 1, 6, 10, 5, 7, 6, 1,
      2, 3, 9, 4, 5, 10, 7, 8, 4, 5, 7, 9, 1, 2, 3, 6, 10, 8, 1, 6, 10, 5, 2, 3,
      7, 8, 4, 9, 8, 4, 7, 9, 1, 5, 10, 3, 6, 2, 5, 1, 9, 7, 6, 4, 3, 8, 10, 2,
      1, 7, 4, 6, 2, 5, 3, 10, 9, 8, 3, 1, 9, 6, 5, 10, 8, 2, 4, 7, 9, 7, 8, 3,
      6, 1, 10, 2, 5, 4, 7, 1, 8, 6, 10, 2, 9, 5, 3, 4, 10, 7, 5, 1, 3, 8, 4, 6,
      2, 9, 9, 10, 3, 7, 4, 6, 8, 2, 1, 5, 5, 9, 2, 8, 10, 1, 6, 3, 4, 7, 10, 1,
      9, 5, 3, 7, 2, 8, 6, 4, 6, 4, 7, 9, 2, 8, 3, 1, 5, 10, 5, 6, 2, 10, 9, 4,
      1, 8, 7, 3, 9, 10, 3, 1, 5, 8, 7, 4, 6, 2, 1, 7, 2, 6, 9, 10, 4, 3, 8, 5,
      3, 6, 1, 5, 2, 4, 8, 10, 7, 9, 4, 6, 8, 1, 9, 5, 7, 2, 3, 10, 2, 8, 3, 5,
      6, 1, 10, 4, 7, 9, 9, 8, 1, 3, 7, 2, 4, 6, 5, 10, 2, 7, 1, 4, 10, 9, 8, 6,
      5, 3, 7, 8, 9, 1, 6, 2, 10, 4, 3, 5, 2, 9, 7, 5, 8, 4, 3, 10, 6, 1, 9, 5,
      7, 4, 2, 3, 6, 8, 10, 1, 6, 10, 3, 4, 1, 2, 9, 5, 8, 7, 4, 1, 5, 10, 6, 3,
      8, 2, 7, 9, 7, 2, 6, 8, 9, 1, 5, 4, 10, 3, 7, 5, 9, 10, 8, 2, 6, 1, 4, 3,
      3, 7, 4, 10, 5, 6, 8, 9, 2, 1, 1, 10, 8, 2, 9, 6, 5, 7, 3, 4, 1, 6, 4, 5,
      2, 7, 8, 9, 3, 10, 6, 3, 1, 9, 4, 5, 2, 8, 10, 7, 6, 5, 3, 4, 8, 2, 7, 9,
      10, 1, 1, 2, 3, 6, 8, 5, 4, 10, 7, 9, 10, 7, 1, 9, 6, 5, 3, 2, 8, 4, 9, 4,
      6, 1, 5, 7, 10, 2, 3, 8, 4, 5, 6, 1, 2, 8, 9, 3, 7, 10, 7, 9, 8, 5, 6, 4,
      10, 2, 3, 1, 2, 9, 6, 1, 8, 7, 10, 5, 4, 3, 3, 2, 8, 10, 4, 6, 5, 1, 7, 9,
      10, 2, 3, 5, 1, 4, 8, 6, 9, 7, 3, 8, 1, 10, 4, 9, 7, 2, 6, 5, 2, 9, 5, 7,
      10, 6, 4, 1, 8, 3, 5, 6, 4, 7, 8, 10, 2, 3, 1, 9
    ],
    "scale": 100000,
    "n": 10
  },
  "8": {
    "scaled_doubly_stochastic_matrix": [
      8184, 21507, 7569, 5686, 13340, 16316, 9119, 6992, 7809, 3478, 1558, 5747,
      19291, 11294, 12882, 16154, 6016, 6912, 11419, 8727, 11731, 9599, 5461,
      9820, 8566, 10221, 13860, 13425, 6471, 10846, 15423, 6784, 12926, 18468,
      8601, 10573, 4493, 7302, 10284, 5146, 16362, 9090, 6338, 12634, 6043,
      1855, 8062, 15133, 11650, 12833, 2916, 5715, 3037, 8181, 16379, 9243,
      9904, 11223, 11137, 22265, 13143, 12762, 13115, 3388, 5164, 8015, 15131,
      10581, 8887, 9814, 3861, 12788, 13559, 14108, 9000, 14737, 7677, 7320,
      6538, 10412, 13364, 8542, 13037, 14870, 7187, 5957, 13934, 9692, 6933,
      6484, 13458, 7466, 5667, 1551, 12838, 6929, 11804, 11420, 18872, 9995
    ],
    "weights": [
      2993, 1973, 426, 2796, 670, 384, 322, 857, 2614, 431, 396, 793, 2929, 47,
      1930, 187, 1325, 49, 311, 532, 574, 849, 1327, 869, 1198, 762, 300, 240,
      65, 207, 1491, 1645, 797, 688, 1509, 633, 1985, 3005, 335, 1137, 543,
      3855, 184, 2551, 695, 82, 404, 628, 2227, 257, 85, 1556, 1091, 876, 135,
      1088, 1039, 710, 634, 57, 451, 2202, 272, 512, 2789, 350, 176, 102, 778,
      602, 410, 641, 1885, 533, 2163, 137, 826, 355, 1969, 222, 501, 1169, 4589,
      2791, 568, 163, 2062, 658, 2154, 442, 116, 1351, 702, 1170, 438, 689, 555,
      476, 1422, 331
    ],
    "id": "B10_100_8",
    "permutations": [
      2, 4, 10, 1, 9, 6, 7, 8, 3, 5, 3, 8, 1, 6, 4, 10, 7, 5, 2, 9, 1, 2, 6, 5,
      4, 9, 3, 10, 7, 8, 9, 10, 7, 3, 1, 6, 5, 4, 8, 2, 5, 10, 6, 8, 3, 1, 2, 9,
      7, 4, 5, 3, 10, 7, 2, 9, 6, 4, 1, 8, 7, 3, 4, 2, 6, 10, 9, 8, 1, 5, 6, 8,
      4, 3, 9, 2, 10, 1, 5, 7, 6, 7, 2, 10, 4, 5, 8, 3, 1, 9, 2, 3, 6, 9, 7, 10,
      8, 4, 5, 1, 7, 10, 8, 3, 5, 4, 9, 6, 2, 1, 7, 3, 4, 9, 8, 10, 2, 6, 1, 5,
      6, 5, 8, 4, 1, 10, 7, 9, 2, 3, 3, 8, 5, 4, 2, 7, 10, 1, 9, 6, 2, 5, 7, 8,
      1, 9, 10, 3, 4, 6, 9, 2, 6, 10, 5, 8, 4, 3, 7, 1, 5, 3, 9, 8, 2, 10, 7, 4,
      6, 1, 9, 8, 10, 7, 1, 2, 3, 4, 6, 5, 2, 4, 1, 7, 10, 8, 9, 3, 5, 6, 3, 7,
      4, 6, 1, 9, 5, 10, 8, 2, 8, 5, 7, 4, 9, 10, 2, 1, 6, 3, 10, 4, 5, 7, 8, 3,
      1, 2, 9, 6, 1, 6, 7, 3, 2, 5, 8, 4, 9, 10, 4, 3, 10, 9, 7, 5, 1, 2, 8, 6,
      8, 3, 1, 5, 6, 10, 9, 4, 2, 7, 10, 9, 1, 7, 8, 2, 3, 6, 4, 5, 6, 3, 2, 1,
      8, 9, 5, 10, 4, 7, 3, 9, 8, 6, 1, 5, 10, 2, 4, 7, 1, 3, 6, 8, 2, 5, 9, 4,
      7, 10, 9, 5, 1, 2, 3, 4, 7, 10, 8, 6, 7, 6, 5, 1, 8, 10, 9, 2, 4, 3, 5, 2,
      6, 8, 3, 9, 7, 10, 4, 1, 5, 3, 4, 9, 10, 2, 8, 7, 6, 1, 9, 2, 4, 3, 7, 5,
      8, 1, 10, 6, 9, 6, 2, 3, 4, 7, 8, 5, 1, 10, 2, 6, 5, 4, 10, 9, 7, 3, 1, 8,
      6, 3, 4, 9, 7, 8, 2, 10, 1, 5, 4, 9, 8, 6, 10, 5, 3, 2, 7, 1, 2, 8, 4, 7,
      6, 5, 9, 10, 3, 1, 8, 2, 5, 6, 9, 10, 3, 1, 4, 7, 3, 6, 2, 5, 7, 10, 1, 4,
      9, 8, 5, 9, 10, 1, 2, 8, 6, 4, 3, 7, 6, 4, 3, 2, 7, 5, 10, 9, 1, 8, 6, 4,
      7, 1, 9, 8, 2, 5, 3, 10, 1, 10, 6, 4, 3, 9, 7, 5, 2, 8, 10, 6, 8, 7, 5, 4,
      3, 2, 1, 9, 8, 3, 7, 4, 5, 10, 1, 6, 9, 2, 5, 3, 2, 4, 8, 7, 6, 9, 10, 1,
      2, 6, 1, 4, 3, 9, 10, 7, 5, 8, 7, 5, 4, 2, 1, 6, 10, 9, 8, 3, 6, 7, 5, 1,
      8, 2, 9, 10, 4, 3, 5, 3, 7, 6, 1, 8, 9, 2, 4, 10, 1, 4, 10, 3, 2, 7, 6, 5,
      8, 9, 7, 2, 9, 6, 4, 1, 10, 3, 8, 5, 9, 1, 2, 5, 7, 4, 8, 3, 6, 10, 5, 8,
      9, 4, 10, 3, 2, 6, 7, 1, 3, 8, 9, 4, 5, 2, 1, 10, 6, 7, 4, 3, 5, 10, 8, 1,
      6, 2, 7, 9, 2, 3, 10, 1, 5, 7, 9, 6, 4, 8, 3, 5, 7, 9, 8, 2, 10, 1, 6, 4,
      6, 3, 7, 8, 5, 10, 2, 4, 9, 1, 7, 6, 4, 2, 1, 9, 3, 10, 5, 8, 8, 9, 2, 7,
      4, 10, 5, 3, 1, 6, 10, 9, 3, 5, 4, 7, 2, 6, 1, 8, 2, 6, 8, 5, 7, 10, 1, 3,
      4, 9, 10, 2, 4, 7, 9, 5, 6, 8, 3, 1, 9, 5, 3, 2, 4, 8, 1, 10, 7, 6, 6, 3,
      7, 4, 8, 10, 2, 5, 1, 9, 2, 4, 1, 8, 3, 5, 7, 10, 6, 9, 1, 10, 9, 2, 5, 8,
      7, 3, 6, 4, 1, 3, 9, 7, 10, 5, 4, 2, 8, 6, 1, 10, 6, 3, 2, 4, 8, 5, 9, 7,
      2, 3, 6, 5, 8, 4, 1, 7, 10, 9, 2, 3, 10, 4, 9, 6, 5, 8, 7, 1, 8, 5, 2, 1,
      4, 6, 9, 7, 3, 10, 2, 1, 5, 3, 4, 7, 8, 6, 10, 9, 2, 6, 7, 4, 5, 10, 3, 9,
      1, 8, 10, 8, 5, 6, 2, 7, 3, 4, 1, 9, 3, 4, 8, 2, 1, 5, 10, 6, 9, 7, 5, 7,
      2, 9, 10, 1, 8, 6, 3, 4, 4, 7, 8, 10, 9, 6, 3, 1, 5, 2, 3, 8, 1, 9, 4, 7,
      2, 6, 10, 5, 2, 5, 3, 4, 8, 10, 1, 6, 7, 9, 6, 3, 5, 9, 10, 7, 4, 8, 1, 2,
      10, 4, 1, 6, 8, 2, 5, 9, 3, 7, 4, 3, 8, 2, 10, 9, 5, 7, 6, 1, 9, 7, 1, 3,
      10, 4, 2, 6, 8, 5, 7, 6, 2, 10, 1, 3, 8, 4, 5, 9, 1, 10, 6, 4, 9, 5, 3, 2,
      7, 8, 1, 10, 9, 5, 8, 3, 6, 7, 4, 2, 6, 1, 7, 5, 3, 10, 2, 4, 8, 9, 6, 9,
      8, 1, 10, 4, 7, 3, 2, 5, 7, 6, 4, 2, 8, 5, 3, 10, 9, 1, 5, 1, 7, 9, 8, 2,
      10, 3, 4, 6, 4, 2, 10, 8, 7, 1, 3, 5, 6, 9, 8, 6, 9, 7, 1, 5, 2, 3, 4, 10,
      8, 3, 2, 5, 1, 7, 6, 4, 10, 9, 2, 6, 1, 10, 4, 7, 3, 9, 8, 5, 7, 9, 6, 3,
      5, 4, 8, 2, 10, 1, 1, 10, 5, 6, 4, 2, 9, 8, 7, 3
    ],
    "scale": 100000,
    "n": 10
  },
  "3": {
    "scaled_doubly_stochastic_matrix": [
      9002, 11012, 1644, 8152, 16299, 9059, 18037, 8380, 11204, 7211, 5813,
      11448, 7274, 10683, 1973, 12314, 12833, 12909, 10021, 14732, 4207, 6691,
      14552, 4459, 13528, 15691, 1549, 16674, 12148, 10501, 2636, 8873, 20605,
      10994, 12519, 13434, 7106, 7526, 10752, 5555, 9676, 11541, 9336, 15603,
      13483, 13031, 7305, 8873, 7814, 3338, 17204, 11672, 8662, 12562, 2936,
      9818, 13254, 9978, 4073, 9841, 13157, 10592, 13512, 15120, 5555, 4987,
      5122, 3641, 16617, 11697, 9181, 13130, 4540, 11754, 12794, 3298, 13775,
      17428, 1675, 12425, 12425, 2845, 6575, 6574, 9329, 10096, 11453, 6631,
      16038, 18034, 16699, 12196, 13300, 4099, 11584, 8272, 9566, 7960, 9658,
      6666
    ],
    "weights": [
      106, 713, 27, 454, 661, 553, 281, 289, 578, 2531, 1211, 1546, 15, 472,
      760, 1093, 25, 149, 387, 1412, 880, 84, 835, 1130, 998, 933, 1493, 772,
      768, 401, 1218, 102, 3, 87, 5726, 2835, 564, 123, 202, 1737, 1628, 319,
      613, 78, 342, 313, 3049, 263, 743, 2188, 213, 1992, 2, 682, 900, 480, 213,
      281, 1378, 316, 124, 508, 643, 957, 764, 751, 1278, 2262, 4236, 4460, 27,
      1225, 485, 7008, 493, 246, 56, 1583, 467, 323, 815, 520, 3900, 2711, 614,
      78, 879, 2174, 301, 85, 444, 1926, 1721, 131, 701, 1127, 1108, 304, 1375,
      1043
    ],
    "id": "B10_100_3",
    "permutations": [
      9, 1, 10, 6, 7, 4, 2, 8, 3, 5, 7, 9, 5, 3, 2, 1, 4, 8, 10, 6, 7, 10, 2, 8,
      1, 9, 5, 6, 4, 3, 2, 3, 5, 7, 4, 9, 6, 10, 8, 1, 1, 8, 3, 6, 9, 4, 2, 7,
      5, 10, 2, 6, 4, 9, 10, 1, 8, 7, 5, 3, 9, 5, 2, 10, 7, 1, 6, 4, 3, 8, 1, 7,
      6, 8, 10, 9, 4, 2, 5, 3, 2, 9, 8, 3, 10, 5, 6, 4, 1, 7, 4, 2, 5, 3, 9, 10,
      1, 7, 8, 6, 6, 3, 10, 7, 8, 1, 2, 5, 4, 9, 7, 10, 8, 5, 2, 1, 6, 3, 9, 4,
      6, 9, 7, 10, 4, 8, 2, 1, 3, 5, 1, 4, 7, 5, 10, 2, 3, 8, 9, 6, 8, 9, 3, 10,
      7, 6, 2, 1, 4, 5, 1, 4, 10, 8, 3, 9, 5, 2, 6, 7, 3, 1, 10, 6, 4, 2, 5, 9,
      7, 8, 6, 4, 8, 5, 10, 9, 2, 3, 7, 1, 10, 5, 6, 4, 1, 9, 3, 2, 8, 7, 3, 6,
      1, 8, 4, 2, 5, 10, 7, 9, 5, 7, 3, 2, 6, 10, 4, 8, 1, 9, 3, 2, 4, 8, 5, 1,
      9, 6, 7, 10, 7, 8, 1, 5, 9, 4, 3, 2, 10, 6, 2, 7, 9, 8, 5, 3, 6, 4, 1, 10,
      7, 1, 3, 5, 2, 4, 6, 10, 8, 9, 5, 4, 8, 1, 3, 10, 2, 9, 6, 7, 6, 4, 9, 10,
      2, 1, 3, 7, 5, 8, 6, 2, 10, 4, 5, 7, 3, 8, 9, 1, 9, 2, 3, 4, 5, 8, 10, 6,
      1, 7, 8, 10, 2, 3, 5, 6, 7, 9, 1, 4, 1, 5, 9, 2, 7, 10, 4, 3, 8, 6, 7, 9,
      3, 5, 6, 10, 1, 4, 2, 8, 6, 1, 5, 9, 8, 10, 7, 2, 4, 3, 10, 5, 8, 6, 1, 9,
      7, 4, 2, 3, 5, 7, 6, 3, 4, 8, 9, 1, 10, 2, 4, 9, 3, 6, 5, 7, 10, 8, 1, 2,
      7, 10, 6, 1, 2, 4, 5, 3, 9, 8, 3, 4, 9, 7, 6, 8, 1, 5, 2, 10, 8, 6, 7, 3,
      4, 5, 1, 10, 9, 2, 1, 6, 3, 9, 2, 4, 10, 8, 5, 7, 5, 2, 3, 6, 4, 1, 7, 8,
      10, 9, 4, 8, 3, 7, 1, 5, 9, 2, 6, 10, 2, 6, 9, 10, 3, 8, 5, 1, 7, 4, 1, 9,
      5, 8, 6, 2, 4, 3, 10, 7, 7, 6, 1, 4, 8, 2, 10, 3, 9, 5, 8, 6, 5, 2, 10, 1,
      9, 4, 3, 7, 7, 3, 8, 5, 6, 4, 10, 2, 1, 9, 2, 10, 9, 7, 6, 8, 3, 4, 1, 5,
      1, 10, 4, 3, 7, 9, 5, 8, 6, 2, 8, 10, 2, 5, 3, 6, 1, 4, 9, 7, 7, 6, 2, 9,
      8, 1, 3, 10, 5, 4, 4, 8, 6, 10, 1, 7, 3, 2, 9, 5, 8, 2, 5, 1, 10, 9, 3, 6,
      7, 4, 6, 4, 5, 3, 9, 1, 8, 2, 10, 7, 7, 1, 9, 6, 2, 10, 8, 4, 5, 3, 8, 4,
      6, 3, 7, 1, 10, 5, 2, 9, 5, 7, 6, 9, 10, 8, 4, 2, 1, 3, 7, 9, 1, 5, 10, 6,
      3, 8, 2, 4, 6, 10, 5, 9, 7, 8, 2, 4, 3, 1, 6, 1, 2, 3, 4, 10, 8, 9, 7, 5,
      4, 6, 9, 1, 7, 5, 2, 8, 10, 3, 2, 1, 9, 8, 6, 4, 3, 5, 10, 7, 7, 6, 4, 8,
      9, 2, 5, 3, 1, 10, 6, 2, 8, 7, 9, 1, 10, 5, 4, 3, 8, 1, 5, 4, 6, 9, 3, 10,
      7, 2, 2, 1, 9, 6, 4, 3, 7, 8, 5, 10, 7, 4, 10, 5, 8, 3, 1, 2, 9, 6, 2, 6,
      10, 8, 3, 1, 9, 4, 7, 5, 5, 8, 9, 2, 6, 7, 4, 10, 3, 1, 7, 2, 6, 9, 4, 3,
      1, 8, 10, 5, 4, 3, 1, 6, 7, 10, 5, 2, 9, 8, 9, 4, 1, 3, 8, 2, 10, 7, 5, 6,
      7, 8, 9, 2, 5, 10, 4, 6, 1, 3, 9, 10, 8, 3, 5, 2, 4, 7, 6, 1, 7, 8, 2, 1,
      3, 4, 9, 6, 10, 5, 4, 2, 7, 5, 9, 6, 1, 10, 3, 8, 5, 7, 4, 6, 10, 1, 8, 2,
      9, 3, 10, 8, 5, 4, 7, 6, 1, 2, 9, 3, 8, 4, 3, 7, 6, 2, 9, 5, 10, 1, 9, 1,
      4, 10, 3, 7, 5, 6, 2, 8, 10, 1, 8, 7, 9, 4, 2, 6, 5, 3, 6, 9, 2, 1, 7, 10,
      8, 5, 4, 3, 2, 6, 5, 4, 8, 1, 9, 10, 7, 3, 1, 7, 10, 6, 2, 4, 3, 5, 9, 8,
      9, 10, 7, 2, 4, 6, 8, 1, 5, 3, 4, 3, 2, 10, 6, 9, 7, 1, 5, 8, 9, 4, 6, 7,
      2, 8, 3, 5, 1, 10, 10, 8, 2, 4, 1, 6, 7, 5, 9, 3, 8, 4, 3, 9, 10, 5, 2, 6,
      1, 7, 6, 3, 1, 9, 7, 4, 5, 2, 10, 8, 10, 3, 8, 7, 9, 6, 1, 4, 2, 5, 5, 3,
      4, 6, 1, 10, 9, 8, 7, 2, 10, 9, 3, 6, 1, 7, 2, 5, 4, 8, 6, 8, 4, 7, 10, 1,
      3, 2, 9, 5, 5, 7, 6, 9, 8, 1, 3, 4, 2, 10, 8, 7, 5, 2, 3, 6, 9, 4, 10, 1,
      7, 4, 8, 9, 6, 5, 3, 2, 10, 1, 6, 1, 9, 4, 3, 5, 10, 7, 2, 8, 8, 9, 3, 5,
      6, 7, 2, 1, 4, 10, 6, 9, 10, 7, 1, 3, 2, 5, 8, 4
    ],
    "scale": 100000,
    "n": 10
  },
  "1": {
    "scaled_doubly_stochastic_matrix": [
      15121, 9676, 9901, 12567, 13925, 4189, 9450, 5547, 11612, 8012, 8042,
      11490, 8366, 6139, 10593, 19071, 8561, 7183, 14963, 5592, 12608, 7330,
      3166, 9750, 10342, 11009, 9918, 11015, 12181, 12681, 14165, 6887, 12765,
      9404, 8823, 12948, 6160, 6424, 8095, 14329, 11866, 10845, 6395, 15832,
      5996, 7947, 6345, 14615, 4467, 15692, 10298, 9642, 10451, 4863, 8965,
      4625, 11964, 8173, 14989, 16030, 6686, 11931, 12734, 9382, 13219, 10388,
      5404, 12454, 9259, 8543, 8390, 6846, 11011, 12534, 12629, 8531, 8683,
      17014, 4913, 9449, 7620, 15053, 13885, 14109, 13087, 5621, 13676, 6162,
      3994, 6793, 5204, 10300, 11326, 5420, 2421, 15671, 19839, 11413, 15527,
      2879
    ],
    "weights": [
      2527, 1751, 1444, 254, 1428, 433, 1576, 1105, 544, 1051, 4883, 661, 2537,
      983, 2495, 178, 840, 427, 271, 2199, 262, 975, 1268, 918, 371, 1377, 958,
      198, 2650, 465, 295, 1375, 437, 1755, 324, 1392, 1472, 898, 218, 16, 73,
      599, 821, 620, 1107, 159, 5, 367, 349, 585, 541, 1488, 840, 472, 441,
      1834, 352, 480, 1283, 1127, 851, 171, 1488, 2706, 538, 338, 2554, 897,
      473, 1565, 3685, 1176, 247, 538, 451, 48, 1643, 696, 1216, 969, 299, 722,
      1604, 733, 307, 341, 149, 2759, 418, 1641, 64, 541, 1821, 274, 124, 259,
      162, 477, 4327, 1974
    ],
    "id": "B10_100_1",
    "permutations": [
      2, 5, 6, 7, 1, 10, 9, 8, 4, 3, 1, 9, 8, 10, 4, 2, 3, 6, 5, 7, 9, 4, 1, 5,
      8, 10, 2, 6, 3, 7, 6, 3, 10, 7, 4, 1, 9, 2, 5, 8, 10, 3, 1, 5, 9, 2, 6, 8,
      7, 4, 1, 5, 6, 2, 4, 8, 10, 9, 3, 7, 10, 8, 1, 6, 4, 5, 7, 3, 2, 9, 8, 2,
      1, 9, 6, 10, 4, 7, 5, 3, 5, 2, 9, 3, 4, 8, 10, 1, 6, 7, 1, 2, 5, 3, 10, 4,
      7, 6, 9, 8, 4, 1, 10, 6, 2, 3, 5, 8, 7, 9, 1, 9, 4, 3, 10, 8, 7, 2, 5, 6,
      8, 5, 7, 2, 4, 1, 9, 10, 3, 6, 4, 9, 7, 10, 1, 8, 3, 2, 5, 6, 5, 3, 6, 1,
      10, 9, 8, 7, 2, 4, 2, 1, 3, 9, 8, 7, 6, 5, 4, 10, 4, 5, 9, 10, 7, 6, 1, 3,
      8, 2, 7, 10, 6, 1, 2, 5, 8, 3, 4, 9, 2, 3, 8, 6, 1, 10, 4, 5, 7, 9, 9, 2,
      5, 6, 4, 1, 8, 10, 3, 7, 9, 7, 4, 1, 2, 10, 8, 5, 3, 6, 6, 3, 10, 4, 2, 9,
      8, 1, 5, 7, 4, 9, 7, 8, 1, 5, 2, 10, 3, 6, 9, 6, 5, 4, 8, 2, 7, 1, 10, 3,
      1, 3, 8, 2, 9, 7, 5, 10, 4, 6, 1, 7, 5, 6, 4, 10, 2, 8, 3, 9, 9, 5, 4, 1,
      2, 8, 6, 3, 7, 10, 7, 3, 1, 8, 6, 9, 2, 4, 5, 10, 5, 6, 9, 1, 8, 10, 4, 3,
      2, 7, 1, 9, 7, 5, 8, 3, 6, 10, 4, 2, 3, 1, 5, 9, 2, 4, 6, 8, 10, 7, 1, 6,
      10, 4, 7, 5, 3, 9, 2, 8, 4, 1, 8, 5, 9, 6, 3, 7, 10, 2, 9, 2, 8, 4, 10, 7,
      3, 5, 6, 1, 7, 2, 9, 4, 6, 5, 10, 8, 1, 3, 9, 4, 7, 3, 8, 1, 2, 5, 10, 6,
      10, 9, 8, 5, 7, 1, 3, 2, 4, 6, 3, 5, 9, 10, 4, 7, 2, 1, 8, 6, 3, 2, 1, 4,
      10, 5, 6, 8, 9, 7, 3, 10, 5, 8, 6, 7, 9, 4, 1, 2, 3, 10, 8, 1, 2, 7, 5, 9,
      4, 6, 8, 7, 9, 10, 1, 5, 3, 4, 6, 2, 8, 9, 1, 4, 6, 2, 10, 3, 5, 7, 7, 6,
      5, 2, 10, 9, 1, 3, 4, 8, 7, 1, 4, 8, 10, 9, 2, 5, 3, 6, 1, 3, 10, 2, 7, 8,
      6, 9, 5, 4, 8, 3, 2, 9, 4, 10, 5, 1, 6, 7, 3, 1, 6, 10, 8, 4, 9, 5, 2, 7,
      4, 7, 2, 8, 1, 10, 6, 3, 9, 5, 1, 10, 4, 9, 2, 3, 7, 6, 5, 8, 7, 6, 3, 4,
      8, 2, 10, 9, 5, 1, 7, 9, 6, 5, 10, 1, 2, 4, 3, 8, 2, 4, 1, 5, 7, 9, 6, 3,
      10, 8, 9, 8, 10, 5, 4, 2, 6, 1, 3, 7, 1, 7, 5, 6, 8, 9, 3, 10, 2, 4, 2, 7,
      3, 9, 5, 10, 6, 8, 4, 1, 9, 1, 6, 3, 8, 4, 5, 2, 10, 7, 8, 4, 1, 9, 10, 2,
      6, 3, 5, 7, 5, 8, 9, 2, 6, 4, 3, 1, 10, 7, 9, 8, 2, 7, 5, 6, 4, 1, 3, 10,
      3, 2, 6, 10, 5, 9, 8, 1, 4, 7, 6, 2, 1, 5, 10, 4, 8, 9, 3, 7, 5, 3, 6, 8,
      1, 10, 9, 4, 7, 2, 5, 9, 8, 10, 6, 7, 4, 2, 1, 3, 1, 10, 4, 7, 6, 3, 5, 9,
      2, 8, 4, 10, 2, 3, 7, 5, 6, 1, 9, 8, 3, 6, 2, 1, 8, 9, 10, 5, 4, 7, 3, 8,
      7, 1, 2, 10, 9, 5, 6, 4, 4, 2, 10, 6, 7, 3, 8, 1, 9, 5, 6, 4, 2, 3, 10, 7,
      1, 5, 9, 8, 2, 6, 10, 3, 1, 8, 5, 4, 7, 9, 6, 8, 9, 7, 4, 2, 10, 3, 1, 5,
      4, 8, 7, 2, 3, 6, 10, 1, 5, 9, 10, 2, 8, 7, 6, 1, 5, 9, 4, 3, 4, 5, 3, 1,
      10, 2, 7, 6, 8, 9, 6, 9, 7, 5, 8, 3, 1, 10, 4, 2, 3, 2, 4, 9, 5, 7, 1, 10,
      8, 6, 10, 6, 4, 2, 1, 5, 9, 7, 8, 3, 10, 5, 9, 1, 2, 3, 4, 7, 8, 6, 1, 6,
      2, 8, 4, 3, 5, 7, 10, 9, 3, 1, 2, 5, 8, 4, 10, 9, 7, 6, 1, 3, 7, 8, 10, 4,
      5, 9, 2, 6, 1, 7, 5, 6, 9, 2, 10, 8, 4, 3, 9, 5, 7, 10, 8, 3, 6, 4, 2, 1,
      1, 2, 6, 8, 7, 9, 4, 5, 10, 3, 2, 8, 10, 4, 9, 5, 3, 6, 7, 1, 3, 2, 7, 9,
      10, 8, 1, 6, 4, 5, 5, 9, 4, 3, 10, 7, 2, 6, 1, 8, 7, 4, 9, 3, 6, 1, 5, 2,
      8, 10, 3, 10, 8, 1, 4, 5, 6, 7, 2, 9, 1, 8, 10, 2, 5, 4, 3, 9, 7, 6, 10,
      9, 4, 1, 7, 3, 5, 8, 2, 6, 4, 7, 5, 9, 3, 10, 1, 8, 6, 2, 1, 7, 6, 10, 2,
      9, 8, 3, 4, 5, 10, 1, 2, 6, 9, 8, 5, 7, 4, 3, 10, 6, 9, 5, 8, 4, 3, 1, 7,
      2, 10, 2, 3, 4, 9, 5, 7, 8, 1, 6, 4, 6, 7, 2, 5, 8, 9, 10, 1, 3, 7, 6, 1,
      10, 3, 9, 8, 4, 5, 2, 1, 10, 9, 4, 8, 6, 3, 5, 2, 7
    ],
    "scale": 100000,
    "n": 10
  }
}