***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 The FindStatCrew * * * * This information is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * ***************************************************************************** ----------------------------------------------------------------------------- Statistic identifier: St001604 ----------------------------------------------------------------------------- Collection: Integer partitions ----------------------------------------------------------------------------- Description: The multiplicity of the irreducible representation corresponding to a partition in the relabelling action on polygons. Equivalently, this is the multiplicity of the irreducible representation corresponding to a partition in the cycle index of the dihedral group. This statistic is only defined for partitions of size at least 3, to avoid ambiguity. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(mu): s = SymmetricFunctions(QQ).s() return DihedralGroup(mu.size()).cycle_index().scalar(s(mu)) ----------------------------------------------------------------------------- Statistic values: [3] => 1 [2,1] => 0 [1,1,1] => 0 [4] => 1 [3,1] => 0 [2,2] => 1 [2,1,1] => 0 [1,1,1,1] => 0 [5] => 1 [4,1] => 0 [3,2] => 1 [3,1,1] => 0 [2,2,1] => 1 [2,1,1,1] => 0 [1,1,1,1,1] => 1 [6] => 1 [5,1] => 0 [4,2] => 2 [4,1,1] => 0 [3,3] => 0 [3,2,1] => 1 [3,1,1,1] => 1 [2,2,2] => 2 [2,2,1,1] => 0 [2,1,1,1,1] => 1 [1,1,1,1,1,1] => 0 [7] => 1 [6,1] => 0 [5,2] => 2 [5,1,1] => 0 [4,3] => 1 [4,2,1] => 3 [4,1,1,1] => 1 [3,3,1] => 0 [3,2,2] => 3 [3,2,1,1] => 2 [3,1,1,1,1] => 3 [2,2,2,1] => 1 [2,2,1,1,1] => 0 [2,1,1,1,1,1] => 0 [1,1,1,1,1,1,1] => 0 [8] => 1 [7,1] => 0 [6,2] => 3 [6,1,1] => 0 [5,3] => 1 [5,2,1] => 4 [5,1,1,1] => 2 [4,4] => 3 [4,3,1] => 3 [4,2,2] => 7 [4,2,1,1] => 4 [4,1,1,1,1] => 4 [3,3,2] => 1 [3,3,1,1] => 5 [3,2,2,1] => 4 [3,2,1,1,1] => 4 [3,1,1,1,1,1] => 1 [2,2,2,2] => 3 [2,2,2,1,1] => 0 [2,2,1,1,1,1] => 2 [2,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1] => 0 [9] => 1 [8,1] => 0 [7,2] => 3 [7,1,1] => 0 [6,3] => 3 [6,2,1] => 6 [6,1,1,1] => 3 [5,4] => 3 [5,3,1] => 6 [5,2,2] => 11 [5,2,1,1] => 9 [5,1,1,1,1] => 7 [4,4,1] => 7 [4,3,2] => 9 [4,3,1,1] => 12 [4,2,2,1] => 12 [4,2,1,1,1] => 9 [4,1,1,1,1,1] => 3 [3,3,3] => 0 [3,3,2,1] => 9 [3,3,1,1,1] => 11 [3,2,2,2] => 7 [3,2,2,1,1] => 6 [3,2,1,1,1,1] => 6 [3,1,1,1,1,1,1] => 0 [2,2,2,2,1] => 3 [2,2,2,1,1,1] => 3 [2,2,1,1,1,1,1] => 3 [2,1,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1,1] => 1 [10] => 1 [9,1] => 0 [8,2] => 4 [8,1,1] => 0 [7,3] => 3 [7,2,1] => 8 [7,1,1,1] => 4 [6,4] => 8 [6,3,1] => 13 [6,2,2] => 18 [6,2,1,1] => 14 [6,1,1,1,1] => 10 [5,5] => 0 [5,4,1] => 14 [5,3,2] => 20 [5,3,1,1] => 31 [5,2,2,1] => 26 [5,2,1,1,1] => 22 [5,1,1,1,1,1] => 6 [4,4,2] => 20 [4,4,1,1] => 10 [4,3,3] => 6 [4,3,2,1] => 38 [4,3,1,1,1] => 29 [4,2,2,2] => 22 [4,2,2,1,1] => 22 [4,2,1,1,1,1] => 20 [4,1,1,1,1,1,1] => 2 [3,3,3,1] => 12 [3,3,2,2] => 8 [3,3,2,1,1] => 26 [3,3,1,1,1,1] => 9 [3,2,2,2,1] => 14 [3,2,2,1,1,1] => 16 [3,2,1,1,1,1,1] => 8 [3,1,1,1,1,1,1,1] => 2 [2,2,2,2,2] => 6 [2,2,2,2,1,1] => 2 [2,2,2,1,1,1,1] => 6 [2,2,1,1,1,1,1,1] => 1 [2,1,1,1,1,1,1,1,1] => 1 [1,1,1,1,1,1,1,1,1,1] => 0 [11] => 1 [10,1] => 0 [9,2] => 4 [9,1,1] => 0 [8,3] => 5 [8,2,1] => 11 [8,1,1,1] => 5 [7,4] => 10 [7,3,1] => 20 [7,2,2] => 25 [7,2,1,1] => 24 [7,1,1,1,1] => 15 [6,5] => 6 [6,4,1] => 34 [6,3,2] => 45 [6,3,1,1] => 56 [6,2,2,1] => 50 [6,2,1,1,1] => 40 [6,1,1,1,1,1] => 11 [5,5,1] => 10 [5,4,2] => 50 [5,4,1,1] => 50 [5,3,3] => 20 [5,3,2,1] => 105 [5,3,1,1,1] => 80 [5,2,2,2] => 45 [5,2,2,1,1] => 60 [5,2,1,1,1,1] => 44 [5,1,1,1,1,1,1] => 5 [4,4,3] => 26 [4,4,2,1] => 60 [4,4,1,1,1] => 30 [4,3,3,1] => 54 [4,3,2,2] => 60 [4,3,2,1,1] => 105 [4,3,1,1,1,1] => 50 [4,2,2,2,1] => 55 [4,2,2,1,1,1] => 56 [4,2,1,1,1,1,1] => 30 [4,1,1,1,1,1,1,1] => 5 [3,3,3,2] => 16 [3,3,3,1,1] => 40 [3,3,2,2,1] => 40 [3,3,2,1,1,1] => 45 [3,3,1,1,1,1,1] => 10 [3,2,2,2,2] => 20 [3,2,2,2,1,1] => 29 [3,2,2,1,1,1,1] => 30 [3,2,1,1,1,1,1,1] => 10 [3,1,1,1,1,1,1,1,1] => 5 [2,2,2,2,2,1] => 6 [2,2,2,2,1,1,1] => 5 [2,2,2,1,1,1,1,1] => 5 [2,2,1,1,1,1,1,1,1] => 0 [2,1,1,1,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1,1,1,1] => 0 [12] => 1 [11,1] => 0 [10,2] => 5 [10,1,1] => 0 [9,3] => 6 [9,2,1] => 13 [9,1,1,1] => 7 [8,4] => 17 [8,3,1] => 32 [8,2,2] => 37 [8,2,1,1] => 34 [8,1,1,1,1] => 19 [7,5] => 9 [7,4,1] => 59 [7,3,2] => 77 [7,3,1,1] => 102 [7,2,2,1] => 86 [7,2,1,1,1] => 72 [7,1,1,1,1,1] => 19 [6,6] => 12 [6,5,1] => 45 [6,4,2] => 128 [6,4,1,1] => 117 [6,3,3] => 56 [6,3,2,1] => 234 [6,3,1,1,1] => 163 [6,2,2,2] => 98 [6,2,2,1,1] => 132 [6,2,1,1,1,1] => 93 [6,1,1,1,1,1,1] => 14 [5,5,2] => 44 [5,5,1,1] => 71 [5,4,3] => 87 [5,4,2,1] => 241 [5,4,1,1,1] => 146 [5,3,3,1] => 177 [5,3,2,2] => 176 [5,3,2,1,1] => 327 [5,3,1,1,1,1] => 144 [5,2,2,2,1] => 146 [5,2,2,1,1,1] => 155 [5,2,1,1,1,1,1] => 72 [5,1,1,1,1,1,1,1] => 14 [4,4,4] => 32 [4,4,3,1] => 117 [4,4,2,2] => 133 [4,4,2,1,1] => 169 [4,4,1,1,1,1] => 90 [4,3,3,2] => 113 [4,3,3,1,1] => 187 [4,3,2,2,1] => 238 [4,3,2,1,1,1] => 234 [4,3,1,1,1,1,1] => 82 [4,2,2,2,2] => 79 [4,2,2,2,1,1] => 117 [4,2,2,1,1,1,1] => 110 [4,2,1,1,1,1,1,1] => 36 [4,1,1,1,1,1,1,1,1] => 10 [3,3,3,3] => 26 [3,3,3,2,1] => 87 [3,3,3,1,1,1] => 66 [3,3,2,2,2] => 44 [3,3,2,2,1,1] => 121 [3,3,2,1,1,1,1] => 74 [3,3,1,1,1,1,1,1] => 29 [3,2,2,2,2,1] => 47 [3,2,2,2,1,1,1] => 59 [3,2,2,1,1,1,1,1] => 37 [3,2,1,1,1,1,1,1,1] => 13 [3,1,1,1,1,1,1,1,1,1] => 2 [2,2,2,2,2,2] => 12 [2,2,2,2,2,1,1] => 7 [2,2,2,2,1,1,1,1] => 14 [2,2,2,1,1,1,1,1,1] => 4 [2,2,1,1,1,1,1,1,1,1] => 3 [2,1,1,1,1,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1,1,1,1,1] => 0 [13] => 1 [12,1] => 0 [11,2] => 5 [11,1,1] => 0 [10,3] => 8 [10,2,1] => 17 [10,1,1,1] => 8 [9,4] => 21 [9,3,1] => 45 [9,2,2] => 48 [9,2,1,1] => 50 [9,1,1,1,1] => 27 [8,5] => 22 [8,4,1] => 102 [8,3,2] => 132 [8,3,1,1] => 162 [8,2,2,1] => 140 [8,2,1,1,1] => 113 [8,1,1,1,1,1] => 30 [7,6] => 19 [7,5,1] => 100 [7,4,2] => 246 [7,4,1,1] => 256 [7,3,3] => 115 [7,3,2,1] => 462 [7,3,1,1,1] => 320 [7,2,2,2] => 172 [7,2,2,1,1] => 261 [7,2,1,1,1,1] => 170 [7,1,1,1,1,1,1] => 26 [6,6,1] => 57 [6,5,2] => 198 [6,5,1,1] => 220 [6,4,3] => 255 [6,4,2,1] => 660 [6,4,1,1,1] => 384 [6,3,3,1] => 440 [6,3,2,2] => 462 [6,3,2,1,1] => 792 [6,3,1,1,1,1] => 360 [6,2,2,2,1] => 351 [6,2,2,1,1,1] => 360 [6,2,1,1,1,1,1] => 170 [6,1,1,1,1,1,1,1] => 30 [5,5,3] => 112 [5,5,2,1] => 330 [5,5,1,1,1] => 215 [5,4,4] => 114 [5,4,3,1] => 575 [5,4,2,2] => 510 [5,4,2,1,1] => 810 [5,4,1,1,1,1] => 351 [5,3,3,2] => 423 [5,3,3,1,1] => 656 [5,3,2,2,1] => 810 [5,3,2,1,1,1] => 792 [5,3,1,1,1,1,1] => 261 [5,2,2,2,2] => 215 [5,2,2,2,1,1] => 384 [5,2,2,1,1,1,1] => 320 [5,2,1,1,1,1,1,1] => 113 [5,1,1,1,1,1,1,1,1] => 27 [4,4,4,1] => 132 [4,4,3,2] => 340 [4,4,3,1,1] => 423 [4,4,2,2,1] => 510 [4,4,2,1,1,1] => 462 [4,4,1,1,1,1,1] => 172 [4,3,3,3] => 132 [4,3,3,2,1] => 575 [4,3,3,1,1,1] => 440 [4,3,2,2,2] => 330 [4,3,2,2,1,1] => 660 [4,3,2,1,1,1,1] => 462 [4,3,1,1,1,1,1,1] => 140 [4,2,2,2,2,1] => 220 [4,2,2,2,1,1,1] => 256 [4,2,2,1,1,1,1,1] => 162 [4,2,1,1,1,1,1,1,1] => 50 [4,1,1,1,1,1,1,1,1,1] => 8 [3,3,3,3,1] => 114 [3,3,3,2,2] => 112 [3,3,3,2,1,1] => 255 [3,3,3,1,1,1,1] => 115 [3,3,2,2,2,1] => 198 [3,3,2,2,1,1,1] => 246 [3,3,2,1,1,1,1,1] => 132 [3,3,1,1,1,1,1,1,1] => 48 [3,2,2,2,2,2] => 57 [3,2,2,2,2,1,1] => 100 [3,2,2,2,1,1,1,1] => 102 [3,2,2,1,1,1,1,1,1] => 45 [3,2,1,1,1,1,1,1,1,1] => 17 [3,1,1,1,1,1,1,1,1,1,1] => 0 [2,2,2,2,2,2,1] => 19 [2,2,2,2,2,1,1,1] => 22 [2,2,2,2,1,1,1,1,1] => 21 [2,2,2,1,1,1,1,1,1,1] => 8 [2,2,1,1,1,1,1,1,1,1,1] => 5 [2,1,1,1,1,1,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1,1,1,1,1,1] => 1 [14] => 1 [13,1] => 0 [12,2] => 6 [12,1,1] => 0 [11,3] => 9 [11,2,1] => 20 [11,1,1,1] => 10 [10,4] => 31 [10,3,1] => 64 [10,2,2] => 65 [10,2,1,1] => 66 [10,1,1,1,1] => 34 [9,5] => 32 [9,4,1] => 156 [9,3,2] => 201 [9,3,1,1] => 254 [9,2,2,1] => 214 [9,2,1,1,1] => 176 [9,1,1,1,1,1] => 45 [8,6] => 47 [8,5,1] => 207 [8,4,2] => 462 [8,4,1,1] => 465 [8,3,3] => 221 [8,3,2,1] => 832 [8,3,1,1,1] => 555 [8,2,2,2] => 306 [8,2,2,1,1] => 468 [8,2,1,1,1,1] => 300 [8,1,1,1,1,1,1] => 51 [7,7] => 7 [7,6,1] => 163 [7,5,2] => 483 [7,5,1,1] => 567 [7,4,3] => 572 [7,4,2,1] => 1501 [7,4,1,1,1] => 891 [7,3,3,1] => 972 [7,3,2,2] => 986 [7,3,2,1,1] => 1715 [7,3,1,1,1,1] => 759 [7,2,2,2,1] => 728 [7,2,2,1,1,1] => 752 [7,2,1,1,1,1,1] => 339 [7,1,1,1,1,1,1,1] => 62 [6,6,2] => 264 [6,6,1,1] => 224 [6,5,3] => 520 [6,5,2,1] => 1307 [6,5,1,1,1] => 762 [6,4,4] => 363 [6,4,3,1] => 1770 [6,4,2,2] => 1569 [6,4,2,1,1] => 2433 [6,4,1,1,1,1] => 1050 [6,3,3,2] => 1210 [6,3,3,1,1] => 1768 [6,3,2,2,1] => 2241 [6,3,2,1,1,1] => 2139 [6,3,1,1,1,1,1] => 732 [6,2,2,2,2] => 550 [6,2,2,2,1,1] => 990 [6,2,2,1,1,1,1] => 799 [6,2,1,1,1,1,1,1] => 280 [6,1,1,1,1,1,1,1,1] => 54 [5,5,4] => 192 [5,5,3,1] => 984 [5,5,2,2] => 714 [5,5,2,1,1] => 1285 [5,5,1,1,1,1] => 478 [5,4,4,1] => 747 [5,4,3,2] => 1716 [5,4,3,1,1] => 2288 [5,4,2,2,1] => 2451 [5,4,2,1,1,1] => 2253 [5,4,1,1,1,1,1] => 728 [5,3,3,3] => 555 [5,3,3,2,1] => 2288 [5,3,3,1,1,1] => 1704 [5,3,2,2,2] => 1225 [5,3,2,2,1,1] => 2505 [5,3,2,1,1,1,1] => 1695 [5,3,1,1,1,1,1,1] => 508 [5,2,2,2,2,1] => 750 [5,2,2,2,1,1,1] => 891 [5,2,2,1,1,1,1,1] => 535 [5,2,1,1,1,1,1,1,1] => 176 [5,1,1,1,1,1,1,1,1,1] => 25 [4,4,4,2] => 474 [4,4,4,1,1] => 495 [4,4,3,3] => 394 [4,4,3,2,1] => 1716 [4,4,3,1,1,1] => 1270 [4,4,2,2,2] => 834 [4,4,2,2,1,1] => 1449 [4,4,2,1,1,1,1] => 1034 [4,4,1,1,1,1,1,1] => 258 [4,3,3,3,1] => 767 [4,3,3,2,2] => 924 [4,3,3,2,1,1] => 1810 [4,3,3,1,1,1,1] => 936 [4,3,2,2,2,1] => 1307 [4,3,2,2,1,1,1] => 1509 [4,3,2,1,1,1,1,1] => 832 [4,3,1,1,1,1,1,1,1] => 222 [4,2,2,2,2,2] => 284 [4,2,2,2,2,1,1] => 519 [4,2,2,2,1,1,1,1] => 505 [4,2,2,1,1,1,1,1,1] => 234 [4,2,1,1,1,1,1,1,1,1] => 78 [4,1,1,1,1,1,1,1,1,1,1] => 7 [3,3,3,3,2] => 232 [3,3,3,3,1,1] => 303 [3,3,3,2,2,1] => 540 [3,3,3,2,1,1,1] => 572 [3,3,3,1,1,1,1,1] => 257 [3,3,2,2,2,2] => 204 [3,3,2,2,2,1,1] => 523 [3,3,2,2,1,1,1,1] => 414 [3,3,2,1,1,1,1,1,1] => 213 [3,3,1,1,1,1,1,1,1,1] => 45 [3,2,2,2,2,2,1] => 163 [3,2,2,2,2,1,1,1] => 215 [3,2,2,2,1,1,1,1,1] => 156 [3,2,2,1,1,1,1,1,1,1] => 72 [3,2,1,1,1,1,1,1,1,1,1] => 20 [3,1,1,1,1,1,1,1,1,1,1,1] => 3 [2,2,2,2,2,2,2] => 27 [2,2,2,2,2,2,1,1] => 27 [2,2,2,2,2,1,1,1,1] => 44 [2,2,2,2,1,1,1,1,1,1] => 19 [2,2,2,1,1,1,1,1,1,1,1] => 13 [2,2,1,1,1,1,1,1,1,1,1,1] => 2 [2,1,1,1,1,1,1,1,1,1,1,1,1] => 1 [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [15] => 1 [14,1] => 0 [13,2] => 6 [13,1,1] => 0 [12,3] => 12 [12,2,1] => 24 [12,1,1,1] => 12 [11,4] => 37 [11,3,1] => 84 [11,2,2] => 82 [11,2,1,1] => 90 [11,1,1,1,1] => 44 [10,5] => 55 [10,4,1] => 237 [10,3,2] => 303 [10,3,1,1] => 370 [10,2,2,1] => 315 [10,2,1,1,1] => 254 [10,1,1,1,1,1] => 67 [9,6] => 74 [9,5,1] => 361 [9,4,2] => 769 [9,4,1,1] => 817 [9,3,3] => 384 [9,3,2,1] => 1400 [9,3,1,1,1] => 934 [9,2,2,2] => 491 [9,2,2,1,1] => 790 [9,2,1,1,1,1] => 486 [9,1,1,1,1,1,1] => 83 [8,7] => 47 [8,6,1] => 397 [8,5,2] => 1068 [8,5,1,1] => 1170 [8,4,3] => 1177 [8,4,2,1] => 3034 [8,4,1,1,1] => 1769 [8,3,3,1] => 1911 [8,3,2,2] => 1966 [8,3,2,1,1] => 3337 [8,3,1,1,1,1] => 1485 [8,2,2,2,1] => 1407 [8,2,2,1,1,1] => 1438 [8,2,1,1,1,1,1] => 651 [8,1,1,1,1,1,1,1] => 114 [7,7,1] => 150 [7,6,2] => 851 [7,6,1,1] => 890 [7,5,3] => 1449 [7,5,2,1] => 3604 [7,5,1,1,1] => 2100 [7,4,4] => 888 [7,4,3,1] => 4494 [7,4,2,2] => 3792 [7,4,2,1,1] => 6090 [7,4,1,1,1,1] => 2521 [7,3,3,2] => 2940 [7,3,3,1,1] => 4200 [7,3,2,2,1] => 5274 [7,3,2,1,1,1] => 5004 [7,3,1,1,1,1,1] => 1680 [7,2,2,2,2] => 1210 [7,2,2,2,1,1] => 2301 [7,2,2,1,1,1,1] => 1785 [7,2,1,1,1,1,1,1] => 636 [7,1,1,1,1,1,1,1,1] => 118 [6,6,3] => 752 [6,6,2,1] => 1667 [6,6,1,1,1] => 894 [6,5,4] => 999 [6,5,3,1] => 4290 [6,5,2,2] => 3338 [6,5,2,1,1] => 5405 [6,5,1,1,1,1] => 2122 [6,4,4,1] => 2670 [6,4,3,2] => 5856 [6,4,3,1,1] => 7680 [6,4,2,2,1] => 8140 [6,4,2,1,1,1] => 7371 [6,4,1,1,1,1,1] => 2371 [6,3,3,3] => 1671 [6,3,3,2,1] => 6998 [6,3,3,1,1,1] => 5202 [6,3,2,2,2] => 3738 [6,3,2,2,1,1] => 7371 [6,3,2,1,1,1,1] => 5004 [6,3,1,1,1,1,1,1] => 1438 [6,2,2,2,2,1] => 2122 [6,2,2,2,1,1,1] => 2486 [6,2,2,1,1,1,1,1] => 1485 [6,2,1,1,1,1,1,1,1] => 466 [6,1,1,1,1,1,1,1,1,1] => 67 [5,5,5] => 168 [5,5,4,1] => 1801 [5,5,3,2] => 3165 [5,5,3,1,1] => 4310 [5,5,2,2,1] => 4117 [5,5,2,1,1,1] => 3738 [5,5,1,1,1,1,1] => 1084 [5,4,4,2] => 2756 [5,4,4,1,1] => 3266 [5,4,3,3] => 2483 [5,4,3,2,1] => 9764 [5,4,3,1,1,1] => 7012 [5,4,2,2,2] => 4222 [5,4,2,2,1,1] => 8077 [5,4,2,1,1,1,1] => 5344 [5,4,1,1,1,1,1,1] => 1393 [5,3,3,3,1] => 3406 [5,3,3,2,2] => 4100 [5,3,3,2,1,1] => 7764 [5,3,3,1,1,1,1] => 3990 [5,3,2,2,2,1] => 5405 [5,3,2,2,1,1,1] => 6195 [5,3,2,1,1,1,1,1] => 3337 [5,3,1,1,1,1,1,1,1] => 874 [5,2,2,2,2,2] => 978 [5,2,2,2,2,1,1] => 1995 [5,2,2,2,1,1,1,1] => 1804 [5,2,2,1,1,1,1,1,1] => 864 [5,2,1,1,1,1,1,1,1,1] => 260 [5,1,1,1,1,1,1,1,1,1,1] => 23 [4,4,4,3] => 802 [4,4,4,2,1] => 2518 [4,4,4,1,1,1] => 1671 [4,4,3,3,1] => 2651 [4,4,3,2,2] => 3270 [4,4,3,2,1,1] => 5821 [4,4,3,1,1,1,1] => 3066 [4,4,2,2,2,1] => 3338 [4,4,2,2,1,1,1] => 3680 [4,4,2,1,1,1,1,1] => 1966 [4,4,1,1,1,1,1,1,1] => 421 [4,3,3,3,2] => 1801 [4,3,3,3,1,1] => 2670 [4,3,3,2,2,1] => 4290 [4,3,3,2,1,1,1] => 4515 [4,3,3,1,1,1,1,1] => 1911 [4,3,2,2,2,2] => 1667 [4,3,2,2,2,1,1] => 3604 [4,3,2,2,1,1,1,1] => 3034 [4,3,2,1,1,1,1,1,1] => 1400 [4,3,1,1,1,1,1,1,1,1] => 315 [4,2,2,2,2,2,1] => 911 [4,2,2,2,2,1,1,1] => 1170 [4,2,2,2,1,1,1,1,1] => 852 [4,2,2,1,1,1,1,1,1,1] => 370 [4,2,1,1,1,1,1,1,1,1,1] => 105 [4,1,1,1,1,1,1,1,1,1,1,1] => 12 [3,3,3,3,3] => 238 [3,3,3,3,2,1] => 999 [3,3,3,3,1,1,1] => 783 [3,3,3,2,2,2] => 682 [3,3,3,2,2,1,1] => 1554 [3,3,3,2,1,1,1,1] => 1156 [3,3,3,1,1,1,1,1,1] => 468 [3,3,2,2,2,2,1] => 816 [3,3,2,2,2,1,1,1] => 1068 [3,3,2,2,1,1,1,1,1] => 706 [3,3,2,1,1,1,1,1,1,1] => 303 [3,3,1,1,1,1,1,1,1,1,1] => 47 [3,2,2,2,2,2,2] => 185 [3,2,2,2,2,2,1,1] => 376 [3,2,2,2,2,1,1,1,1] => 396 [3,2,2,2,1,1,1,1,1,1] => 230 [3,2,2,1,1,1,1,1,1,1,1] => 105 [3,2,1,1,1,1,1,1,1,1,1,1] => 23 [3,1,1,1,1,1,1,1,1,1,1,1,1] => 7 [2,2,2,2,2,2,2,1] => 47 [2,2,2,2,2,2,1,1,1] => 60 [2,2,2,2,2,1,1,1,1,1] => 55 [2,2,2,2,1,1,1,1,1,1,1] => 23 [2,2,2,1,1,1,1,1,1,1,1,1] => 12 [2,2,1,1,1,1,1,1,1,1,1,1,1] => 0 [2,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [16] => 1 [15,1] => 0 [14,2] => 7 [14,1,1] => 0 [13,3] => 13 [13,2,1] => 28 [13,1,1,1] => 14 [12,4] => 51 [12,3,1] => 111 [12,2,2] => 105 [12,2,1,1] => 114 [12,1,1,1,1] => 54 [11,5] => 75 [11,4,1] => 336 [11,3,2] => 429 [11,3,1,1] => 531 [11,2,2,1] => 446 [11,2,1,1,1] => 364 [11,1,1,1,1,1] => 93 [10,6] => 133 [10,5,1] => 611 [10,4,2] => 1251 [10,4,1,1] => 1309 [10,3,3] => 630 [10,3,2,1] => 2240 [10,3,1,1,1] => 1464 [10,2,2,2] => 779 [10,2,2,1,1] => 1260 [10,2,1,1,1,1] => 770 [10,1,1,1,1,1,1] => 138 [9,7] => 95 [9,6,1] => 780 [9,5,2] => 2023 [9,5,1,1] => 2256 [9,4,3] => 2184 [9,4,2,1] => 5630 [9,4,1,1,1] => 3300 [9,3,3,1] => 3514 [9,3,2,2] => 3561 [9,3,2,1,1] => 6076 [9,3,1,1,1,1] => 2670 [9,2,2,2,1] => 2520 [9,2,2,1,1,1] => 2576 [9,2,1,1,1,1,1] => 1144 [9,1,1,1,1,1,1,1] => 202 [8,8] => 65 [8,7,1] => 555 [8,6,2] => 2222 [8,6,1,1] => 2245 [8,5,3] => 3451 [8,5,2,1] => 8320 [8,5,1,1,1] => 4729 [8,4,4] => 1980 [8,4,3,1] => 9913 [8,4,2,2] => 8344 [8,4,2,1,1] => 13293 [8,4,1,1,1,1] => 5473 [8,3,3,2] => 6348 [8,3,3,1,1] => 8890 [8,3,2,2,1] => 11231 [8,3,2,1,1,1] => 10560 [8,3,1,1,1,1,1] => 3572 [8,2,2,2,2] => 2503 [8,2,2,2,1,1] => 4774 [8,2,2,1,1,1,1] => 3650 [8,2,1,1,1,1,1,1] => 1294 [8,1,1,1,1,1,1,1,1] => 220 [7,7,2] => 880 [7,7,1,1] => 1050 [7,6,3] => 2860 [7,6,2,1] => 6568 [7,6,1,1,1] => 3640 [7,5,4] => 3088 [7,5,3,1] => 13071 [7,5,2,2] => 9912 [7,5,2,1,1] => 16183 [7,5,1,1,1,1] => 6213 [7,4,4,1] => 7497 [7,4,3,2] => 16016 [7,4,3,1,1] => 21060 [7,4,2,2,1] => 21840 [7,4,2,1,1,1] => 19709 [7,4,1,1,1,1,1] => 6160 [7,3,3,3] => 4418 [7,3,3,2,1] => 18200 [7,3,3,1,1,1] => 13380 [7,3,2,2,2] => 9506 [7,3,2,2,1,1] => 18813 [7,3,2,1,1,1,1] => 12613 [7,3,1,1,1,1,1,1] => 3590 [7,2,2,2,2,1] => 5253 [7,2,2,2,1,1,1] => 6160 [7,2,2,1,1,1,1,1] => 3617 [7,2,1,1,1,1,1,1,1] => 1144 [7,1,1,1,1,1,1,1,1,1] => 155 [6,6,4] => 1705 [6,6,3,1] => 6195 [6,6,2,2] => 4870 [6,6,2,1,1] => 7392 [6,6,1,1,1,1] => 2940 [6,5,5] => 1070 [6,5,4,1] => 9152 [6,5,3,2] => 15583 [6,5,3,1,1] => 20349 [6,5,2,2,1] => 19685 [6,5,2,1,1,1] => 17472 [6,5,1,1,1,1,1] => 5225 [6,4,4,2] => 10703 [6,4,4,1,1] => 12688 [6,4,3,3] => 9267 [6,4,3,2,1] => 36036 [6,4,3,1,1,1] => 25655 [6,4,2,2,2] => 15246 [6,4,2,2,1,1] => 28846 [6,4,2,1,1,1,1] => 18883 [6,4,1,1,1,1,1,1] => 4802 [6,3,3,3,1] => 11340 [6,3,3,2,2] => 13832 [6,3,3,2,1,1] => 25690 [6,3,3,1,1,1,1] => 13275 [6,3,2,2,2,1] => 17472 [6,3,2,2,1,1,1] => 19744 [6,3,2,1,1,1,1,1] => 10560 [6,3,1,1,1,1,1,1,1] => 2608 [6,2,2,2,2,2] => 2982 [6,2,2,2,2,1,1] => 6143 [6,2,2,2,1,1,1,1] => 5473 [6,2,2,1,1,1,1,1,1] => 2625 [6,2,1,1,1,1,1,1,1,1] => 763 [6,1,1,1,1,1,1,1,1,1,1] => 83 [5,5,5,1] => 1898 [5,5,4,2] => 7122 [5,5,4,1,1] => 8855 [5,5,3,3] => 5485 [5,5,3,2,1] => 20020 [5,5,3,1,1,1] => 13944 [5,5,2,2,2] => 7643 [5,5,2,2,1,1] => 15162 [5,5,2,1,1,1,1] => 9478 [5,5,1,1,1,1,1,1] => 2433 [5,4,4,3] => 5608 [5,4,4,2,1] => 17160 [5,4,4,1,1,1] => 11277 [5,4,3,3,1] => 17160 [5,4,3,2,2] => 20020 [5,4,3,2,1,1] => 36036 [5,4,3,1,1,1,1] => 18200 [5,4,2,2,2,1] => 19706 [5,4,2,2,1,1,1] => 21840 [5,4,2,1,1,1,1,1] => 11259 [5,4,1,1,1,1,1,1,1] => 2520 [5,3,3,3,2] => 8820 [5,3,3,3,1,1] => 12800 [5,3,3,2,2,1] => 20286 [5,3,3,2,1,1,1] => 21060 [5,3,3,1,1,1,1,1] => 8785 [5,3,2,2,2,2] => 7434 [5,3,2,2,2,1,1] => 16183 [5,3,2,2,1,1,1,1] => 13363 [5,3,2,1,1,1,1,1,1] => 6083 [5,3,1,1,1,1,1,1,1,1] => 1305 [5,2,2,2,2,2,1] => 3640 [5,2,2,2,2,1,1,1] => 4694 [5,2,2,2,1,1,1,1,1] => 3300 [5,2,2,1,1,1,1,1,1,1] => 1432 [5,2,1,1,1,1,1,1,1,1,1] => 364 [5,1,1,1,1,1,1,1,1,1,1,1] => 43 [4,4,4,4] => 831 [4,4,4,3,1] => 5573 [4,4,4,2,2] => 5555 [4,4,4,2,1,1] => 9267 [4,4,4,1,1,1,1] => 4481 [4,4,3,3,2] => 7122 [4,4,3,3,1,1] => 10633 [4,4,3,2,2,1] => 15618 [4,4,3,2,1,1,1] => 16016 [4,4,3,1,1,1,1,1] => 6411 [4,4,2,2,2,2] => 4870 [4,4,2,2,2,1,1] => 9856 [4,4,2,2,1,1,1,1] => 8288 [4,4,2,1,1,1,1,1,1] => 3526 [4,4,1,1,1,1,1,1,1,1] => 744 [4,3,3,3,3] => 1933 [4,3,3,3,2,1] => 9152 [4,3,3,3,1,1,1] => 7455 [4,3,3,2,2,2] => 6160 [4,3,3,2,2,1,1] => 13134 [4,3,3,2,1,1,1,1] => 9913 [4,3,3,1,1,1,1,1,1] => 3556 [4,3,2,2,2,2,1] => 6561 [4,3,2,2,2,1,1,1] => 8320 [4,3,2,2,1,1,1,1,1] => 5616 [4,3,2,1,1,1,1,1,1,1] => 2240 [4,3,1,1,1,1,1,1,1,1,1] => 436 [4,2,2,2,2,2,2] => 1078 [4,2,2,2,2,2,1,1] => 2245 [4,2,2,2,2,1,1,1,1] => 2291 [4,2,2,2,1,1,1,1,1,1] => 1323 [4,2,2,1,1,1,1,1,1,1,1] => 549 [4,2,1,1,1,1,1,1,1,1,1,1] => 121 [4,1,1,1,1,1,1,1,1,1,1,1,1] => 18 [3,3,3,3,3,1] => 1105 [3,3,3,3,2,2] => 1670 [3,3,3,3,2,1,1] => 3088 [3,3,3,3,1,1,1,1] => 1917 [3,3,3,2,2,2,1] => 2860 [3,3,3,2,2,1,1,1] => 3493 [3,3,3,2,1,1,1,1,1] => 2184 [3,3,3,1,1,1,1,1,1,1] => 672 [3,3,2,2,2,2,2] => 880 [3,3,2,2,2,2,1,1] => 2194 [3,3,2,2,2,1,1,1,1] => 2009 [3,3,2,2,1,1,1,1,1,1] => 1216 [3,3,2,1,1,1,1,1,1,1,1] => 422 [3,3,1,1,1,1,1,1,1,1,1,1] => 87 [3,2,2,2,2,2,2,1] => 562 [3,2,2,2,2,2,1,1,1] => 780 [3,2,2,2,2,1,1,1,1,1] => 625 [3,2,2,2,1,1,1,1,1,1,1] => 336 [3,2,2,1,1,1,1,1,1,1,1,1] => 121 [3,2,1,1,1,1,1,1,1,1,1,1,1] => 28 [3,1,1,1,1,1,1,1,1,1,1,1,1,1] => 3 [2,2,2,2,2,2,2,2] => 65 [2,2,2,2,2,2,2,1,1] => 88 [2,2,2,2,2,2,1,1,1,1] => 126 [2,2,2,2,2,1,1,1,1,1,1] => 68 [2,2,2,2,1,1,1,1,1,1,1,1] => 44 [2,2,2,1,1,1,1,1,1,1,1,1,1] => 10 [2,2,1,1,1,1,1,1,1,1,1,1,1,1] => 4 [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [17] => 1 [16,1] => 0 [15,2] => 7 [15,1,1] => 0 [14,3] => 16 [14,2,1] => 33 [14,1,1,1] => 16 [13,4] => 60 [13,3,1] => 140 [13,2,2] => 128 [13,2,1,1] => 147 [13,1,1,1,1] => 68 [12,5] => 112 [12,4,1] => 472 [12,3,2] => 600 [12,3,1,1] => 728 [12,2,2,1] => 616 [12,2,1,1,1] => 497 [12,1,1,1,1,1] => 128 [11,6] => 196 [11,5,1] => 952 [11,4,2] => 1904 [11,4,1,1] => 2048 [11,3,3] => 980 [11,3,2,1] => 3432 [11,3,1,1,1] => 2240 [11,2,2,2] => 1160 [11,2,2,1,1] => 1932 [11,2,1,1,1,1] => 1155 [11,1,1,1,1,1,1] => 208 [10,7] => 208 [10,6,1] => 1444 [10,5,2] => 3640 [10,5,1,1] => 3960 [10,4,3] => 3836 [10,4,2,1] => 9800 [10,4,1,1,1] => 5696 [10,3,3,1] => 6048 [10,3,2,2] => 6160 [10,3,2,1,1] => 10400 [10,3,1,1,1,1] => 4576 [10,2,2,2,1] => 4300 [10,2,2,1,1,1] => 4368 [10,2,1,1,1,1,1] => 1941 [10,1,1,1,1,1,1,1] => 336 [9,8] => 150 [9,7,1] => 1330 [9,6,2] => 4736 [9,6,1,1] => 4970 [9,5,3] => 7168 [9,5,2,1] => 17160 [9,5,1,1,1] => 9730 [9,4,4] => 3948 [9,4,3,1] => 19992 [9,4,2,2] => 16520 [9,4,2,1,1] => 26604 [9,4,1,1,1,1] => 10770 [9,3,3,2] => 12600 [9,3,3,1,1] => 17472 [9,3,2,2,1] => 21980 [9,3,2,1,1,1] => 20592 [9,3,1,1,1,1,1] => 6902 [9,2,2,2,2] => 4760 [9,2,2,2,1,1] => 9280 [9,2,2,1,1,1,1] => 6976 [9,2,1,1,1,1,1,1] => 2485 [9,1,1,1,1,1,1,1,1] => 414 [8,8,1] => 600 [8,7,2] => 3432 [8,7,1,1] => 3640 [8,6,3] => 8064 [8,6,2,1] => 18200 [8,6,1,1,1] => 9940 [8,5,4] => 8008 [8,5,3,1] => 32760 [8,5,2,2] => 24960 [8,5,2,1,1] => 40040 [8,5,1,1,1,1] => 15400 [8,4,4,1] => 18200 [8,4,3,2] => 38248 [8,4,3,1,1] => 49980 [8,4,2,2,1] => 51536 [8,4,2,1,1,1] => 46200 [8,4,1,1,1,1,1] => 14360 [8,3,3,3] => 10192 [8,3,3,2,1] => 42028 [8,3,3,1,1,1] => 30800 [8,3,2,2,2] => 21840 [8,3,2,2,1,1] => 42768 [8,3,2,1,1,1,1] => 28600 [8,3,1,1,1,1,1,1] => 8008 [8,2,2,2,2,1] => 11760 [8,2,2,2,1,1,1] => 13696 [8,2,2,1,1,1,1,1] => 8008 [8,2,1,1,1,1,1,1,1] => 2485 [8,1,1,1,1,1,1,1,1,1] => 336 [7,7,3] => 3470 [7,7,2,1] => 8008 [7,7,1,1,1] => 4480 [7,6,4] => 7220 [7,6,3,1] => 27006 [7,6,2,2] => 20104 [7,6,2,1,1] => 31780 [7,6,1,1,1,1] => 12040 [7,5,5] => 3864 [7,5,4,1] => 30888 [7,5,3,2] => 51312 [7,5,3,1,1] => 66654 [7,5,2,2,1] => 63560 [7,5,2,1,1,1] => 56056 [7,5,1,1,1,1,1] => 16464 [7,4,4,2] => 32256 [7,4,4,1,1] => 38720 [7,4,3,3] => 27944 [7,4,3,2,1] => 106496 [7,4,3,1,1,1] => 75110 [7,4,2,2,2] => 43904 [7,4,2,2,1,1] => 83944 [7,4,2,1,1,1,1] => 54040 [7,4,1,1,1,1,1,1] => 13696 [7,3,3,3,1] => 32060 [7,3,3,2,2] => 38976 [7,3,3,2,1,1] => 71640 [7,3,3,1,1,1,1] => 36810 [7,3,2,2,2,1] => 48048 [7,3,2,2,1,1,1] => 54040 [7,3,2,1,1,1,1,1] => 28600 [7,3,1,1,1,1,1,1,1] => 6976 [7,2,2,2,2,2] => 7784 [7,2,2,2,2,1,1] => 16464 [7,2,2,2,1,1,1,1] => 14360 [7,2,2,1,1,1,1,1,1] => 6902 [7,2,1,1,1,1,1,1,1,1] => 1941 [7,1,1,1,1,1,1,1,1,1,1] => 208 [6,6,5] => 2644 [6,6,4,1] => 16016 [6,6,3,2] => 25130 [6,6,3,1,1] => 31808 [6,6,2,2,1] => 30156 [6,6,2,1,1,1] => 26208 [6,6,1,1,1,1,1] => 7784 [6,5,5,1] => 11440 [6,5,4,2] => 40040 [6,5,4,1,1] => 48048 [6,5,3,3] => 28600 [6,5,3,2,1] => 105098 [6,5,3,1,1,1] => 72800 [6,5,2,2,2] => 40040 [6,5,2,2,1,1] => 76440 [6,5,2,1,1,1,1] => 48048 [6,5,1,1,1,1,1,1] => 11760 [6,4,4,3] => 24024 [6,4,4,2,1] => 72128 [6,4,4,1,1,1] => 46800 [6,4,3,3,1] => 69372 [6,4,3,2,2] => 80192 [6,4,3,2,1,1] => 143290 [6,4,3,1,1,1,1] => 71640 [6,4,2,2,2,1] => 76440 [6,4,2,2,1,1,1] => 83944 [6,4,2,1,1,1,1,1] => 42768 [6,4,1,1,1,1,1,1,1] => 9280 [6,3,3,3,2] => 32032 [6,3,3,3,1,1] => 46800 [6,3,3,2,2,1] => 72800 [6,3,3,2,1,1,1] => 75110 [6,3,3,1,1,1,1,1] => 30800 [6,3,2,2,2,2] => 26208 [6,3,2,2,2,1,1] => 56056 [6,3,2,2,1,1,1,1] => 46200 [6,3,2,1,1,1,1,1,1] => 20592 [6,3,1,1,1,1,1,1,1,1] => 4368 [6,2,2,2,2,2,1] => 12040 [6,2,2,2,2,1,1,1] => 15400 [6,2,2,2,1,1,1,1,1] => 10770 [6,2,2,1,1,1,1,1,1,1] => 4576 [6,2,1,1,1,1,1,1,1,1,1] => 1155 [6,1,1,1,1,1,1,1,1,1,1,1] => 128 [5,5,5,2] => 8440 [5,5,5,1,1] => 10220 [5,5,4,3] => 17160 [5,5,4,2,1] => 49980 [5,5,4,1,1,1] => 32032 [5,5,3,3,1] => 40320 [5,5,3,2,2] => 44730 [5,5,3,2,1,1] => 80192 [5,5,3,1,1,1,1] => 38976 [5,5,2,2,2,1] => 40040 [5,5,2,2,1,1,1] => 43904 [5,5,2,1,1,1,1,1] => 21840 [5,5,1,1,1,1,1,1,1] => 4760 [5,4,4,4] => 6076 [5,4,4,3,1] => 42760 [5,4,4,2,2] => 40320 [5,4,4,2,1,1] => 69372 [5,4,4,1,1,1,1] => 32060 [5,4,3,3,2] => 49980 [5,4,3,3,1,1] => 72128 [5,4,3,2,2,1] => 105098 [5,4,3,2,1,1,1] => 106496 [5,4,3,1,1,1,1,1] => 42028 [5,4,2,2,2,2] => 30156 [5,4,2,2,2,1,1] => 63560 [5,4,2,2,1,1,1,1] => 51536 [5,4,2,1,1,1,1,1,1] => 21980 [5,4,1,1,1,1,1,1,1,1] => 4300 [5,3,3,3,3] => 10220 [5,3,3,3,2,1] => 48048 [5,3,3,3,1,1,1] => 38720 [5,3,3,2,2,2] => 31808 [5,3,3,2,2,1,1] => 66654 [5,3,3,2,1,1,1,1] => 49980 [5,3,3,1,1,1,1,1,1] => 17472 [5,3,2,2,2,2,1] => 31780 [5,3,2,2,2,1,1,1] => 40040 [5,3,2,2,1,1,1,1,1] => 26604 [5,3,2,1,1,1,1,1,1,1] => 10400 [5,3,1,1,1,1,1,1,1,1,1] => 1932 [5,2,2,2,2,2,2] => 4480 [5,2,2,2,2,2,1,1] => 9940 [5,2,2,2,2,1,1,1,1] => 9730 [5,2,2,2,1,1,1,1,1,1] => 5696 [5,2,2,1,1,1,1,1,1,1,1] => 2240 [5,2,1,1,1,1,1,1,1,1,1,1] => 497 [5,1,1,1,1,1,1,1,1,1,1,1,1] => 68 [4,4,4,4,1] => 6076 [4,4,4,3,2] => 17160 [4,4,4,3,1,1] => 24024 [4,4,4,2,2,1] => 28600 [4,4,4,2,1,1,1] => 27944 [4,4,4,1,1,1,1,1] => 10192 [4,4,3,3,3] => 8440 [4,4,3,3,2,1] => 40040 [4,4,3,3,1,1,1] => 32256 [4,4,3,2,2,2] => 25130 [4,4,3,2,2,1,1] => 51312 [4,4,3,2,1,1,1,1] => 38248 [4,4,3,1,1,1,1,1,1] => 12600 [4,4,2,2,2,2,1] => 20104 [4,4,2,2,2,1,1,1] => 24960 [4,4,2,2,1,1,1,1,1] => 16520 [4,4,2,1,1,1,1,1,1,1] => 6160 [4,4,1,1,1,1,1,1,1,1,1] => 1160 [4,3,3,3,3,1] => 11440 [4,3,3,3,2,2] => 16016 [4,3,3,3,2,1,1] => 30888 [4,3,3,3,1,1,1,1] => 18200 [4,3,3,2,2,2,1] => 27006 [4,3,3,2,2,1,1,1] => 32760 [4,3,3,2,1,1,1,1,1] => 19992 [4,3,3,1,1,1,1,1,1,1] => 6048 [4,3,2,2,2,2,2] => 8008 [4,3,2,2,2,2,1,1] => 18200 [4,3,2,2,2,1,1,1,1] => 17160 [4,3,2,2,1,1,1,1,1,1] => 9800 [4,3,2,1,1,1,1,1,1,1,1] => 3432 [4,3,1,1,1,1,1,1,1,1,1,1] => 616 [4,2,2,2,2,2,2,1] => 3640 [4,2,2,2,2,2,1,1,1] => 4970 [4,2,2,2,2,1,1,1,1,1] => 3960 [4,2,2,2,1,1,1,1,1,1,1] => 2048 [4,2,2,1,1,1,1,1,1,1,1,1] => 728 [4,2,1,1,1,1,1,1,1,1,1,1,1] => 147 [4,1,1,1,1,1,1,1,1,1,1,1,1,1] => 16 [3,3,3,3,3,2] => 2644 [3,3,3,3,3,1,1] => 3864 [3,3,3,3,2,2,1] => 7220 [3,3,3,3,2,1,1,1] => 8008 [3,3,3,3,1,1,1,1,1] => 3948 [3,3,3,2,2,2,2] => 3470 [3,3,3,2,2,2,1,1] => 8064 [3,3,3,2,2,1,1,1,1] => 7168 [3,3,3,2,1,1,1,1,1,1] => 3836 [3,3,3,1,1,1,1,1,1,1,1] => 980 [3,3,2,2,2,2,2,1] => 3432 [3,3,2,2,2,2,1,1,1] => 4736 [3,3,2,2,2,1,1,1,1,1] => 3640 [3,3,2,2,1,1,1,1,1,1,1] => 1904 [3,3,2,1,1,1,1,1,1,1,1,1] => 600 [3,3,1,1,1,1,1,1,1,1,1,1,1] => 128 [3,2,2,2,2,2,2,2] => 600 [3,2,2,2,2,2,2,1,1] => 1330 [3,2,2,2,2,2,1,1,1,1] => 1444 [3,2,2,2,2,1,1,1,1,1,1] => 952 [3,2,2,2,1,1,1,1,1,1,1,1] => 472 [3,2,2,1,1,1,1,1,1,1,1,1,1] => 140 ----------------------------------------------------------------------------- Created: Sep 27, 2020 at 00:55 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Sep 27, 2020 at 00:55 by Martin Rubey