***************************************************************************** * 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: St000109 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The number of elements less than or equal to the given element in Bruhat order. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(pi): return len([y for y in Permutations(pi.size()) if y.bruhat_lequal(pi)]) ----------------------------------------------------------------------------- Statistic values: [1] => 1 [1,2] => 1 [2,1] => 2 [1,2,3] => 1 [1,3,2] => 2 [2,1,3] => 2 [2,3,1] => 4 [3,1,2] => 4 [3,2,1] => 6 [1,2,3,4] => 1 [1,2,4,3] => 2 [1,3,2,4] => 2 [1,3,4,2] => 4 [1,4,2,3] => 4 [1,4,3,2] => 6 [2,1,3,4] => 2 [2,1,4,3] => 4 [2,3,1,4] => 4 [2,3,4,1] => 8 [2,4,1,3] => 8 [2,4,3,1] => 12 [3,1,2,4] => 4 [3,1,4,2] => 8 [3,2,1,4] => 6 [3,2,4,1] => 12 [3,4,1,2] => 14 [3,4,2,1] => 18 [4,1,2,3] => 8 [4,1,3,2] => 12 [4,2,1,3] => 12 [4,2,3,1] => 20 [4,3,1,2] => 18 [4,3,2,1] => 24 [1,2,3,4,5] => 1 [1,2,3,5,4] => 2 [1,2,4,3,5] => 2 [1,2,4,5,3] => 4 [1,2,5,3,4] => 4 [1,2,5,4,3] => 6 [1,3,2,4,5] => 2 [1,3,2,5,4] => 4 [1,3,4,2,5] => 4 [1,3,4,5,2] => 8 [1,3,5,2,4] => 8 [1,3,5,4,2] => 12 [1,4,2,3,5] => 4 [1,4,2,5,3] => 8 [1,4,3,2,5] => 6 [1,4,3,5,2] => 12 [1,4,5,2,3] => 14 [1,4,5,3,2] => 18 [1,5,2,3,4] => 8 [1,5,2,4,3] => 12 [1,5,3,2,4] => 12 [1,5,3,4,2] => 20 [1,5,4,2,3] => 18 [1,5,4,3,2] => 24 [2,1,3,4,5] => 2 [2,1,3,5,4] => 4 [2,1,4,3,5] => 4 [2,1,4,5,3] => 8 [2,1,5,3,4] => 8 [2,1,5,4,3] => 12 [2,3,1,4,5] => 4 [2,3,1,5,4] => 8 [2,3,4,1,5] => 8 [2,3,4,5,1] => 16 [2,3,5,1,4] => 16 [2,3,5,4,1] => 24 [2,4,1,3,5] => 8 [2,4,1,5,3] => 16 [2,4,3,1,5] => 12 [2,4,3,5,1] => 24 [2,4,5,1,3] => 28 [2,4,5,3,1] => 36 [2,5,1,3,4] => 16 [2,5,1,4,3] => 24 [2,5,3,1,4] => 24 [2,5,3,4,1] => 40 [2,5,4,1,3] => 36 [2,5,4,3,1] => 48 [3,1,2,4,5] => 4 [3,1,2,5,4] => 8 [3,1,4,2,5] => 8 [3,1,4,5,2] => 16 [3,1,5,2,4] => 16 [3,1,5,4,2] => 24 [3,2,1,4,5] => 6 [3,2,1,5,4] => 12 [3,2,4,1,5] => 12 [3,2,4,5,1] => 24 [3,2,5,1,4] => 24 [3,2,5,4,1] => 36 [3,4,1,2,5] => 14 [3,4,1,5,2] => 28 [3,4,2,1,5] => 18 [3,4,2,5,1] => 36 [3,4,5,1,2] => 46 [3,4,5,2,1] => 54 [3,5,1,2,4] => 28 [3,5,1,4,2] => 44 [3,5,2,1,4] => 36 [3,5,2,4,1] => 60 [3,5,4,1,2] => 60 [3,5,4,2,1] => 72 [4,1,2,3,5] => 8 [4,1,2,5,3] => 16 [4,1,3,2,5] => 12 [4,1,3,5,2] => 24 [4,1,5,2,3] => 28 [4,1,5,3,2] => 36 [4,2,1,3,5] => 12 [4,2,1,5,3] => 24 [4,2,3,1,5] => 20 [4,2,3,5,1] => 40 [4,2,5,1,3] => 44 [4,2,5,3,1] => 60 [4,3,1,2,5] => 18 [4,3,1,5,2] => 36 [4,3,2,1,5] => 24 [4,3,2,5,1] => 48 [4,3,5,1,2] => 60 [4,3,5,2,1] => 72 [4,5,1,2,3] => 46 [4,5,1,3,2] => 60 [4,5,2,1,3] => 60 [4,5,2,3,1] => 88 [4,5,3,1,2] => 78 [4,5,3,2,1] => 96 [5,1,2,3,4] => 16 [5,1,2,4,3] => 24 [5,1,3,2,4] => 24 [5,1,3,4,2] => 40 [5,1,4,2,3] => 36 [5,1,4,3,2] => 48 [5,2,1,3,4] => 24 [5,2,1,4,3] => 36 [5,2,3,1,4] => 40 [5,2,3,4,1] => 68 [5,2,4,1,3] => 60 [5,2,4,3,1] => 84 [5,3,1,2,4] => 36 [5,3,1,4,2] => 60 [5,3,2,1,4] => 48 [5,3,2,4,1] => 84 [5,3,4,1,2] => 88 [5,3,4,2,1] => 108 [5,4,1,2,3] => 54 [5,4,1,3,2] => 72 [5,4,2,1,3] => 72 [5,4,2,3,1] => 108 [5,4,3,1,2] => 96 [5,4,3,2,1] => 120 [1,2,3,4,5,6] => 1 [1,2,3,4,6,5] => 2 [1,2,3,5,4,6] => 2 [1,2,3,5,6,4] => 4 [1,2,3,6,4,5] => 4 [1,2,3,6,5,4] => 6 [1,2,4,3,5,6] => 2 [1,2,4,3,6,5] => 4 [1,2,4,5,3,6] => 4 [1,2,4,5,6,3] => 8 [1,2,4,6,3,5] => 8 [1,2,4,6,5,3] => 12 [1,2,5,3,4,6] => 4 [1,2,5,3,6,4] => 8 [1,2,5,4,3,6] => 6 [1,2,5,4,6,3] => 12 [1,2,5,6,3,4] => 14 [1,2,5,6,4,3] => 18 [1,2,6,3,4,5] => 8 [1,2,6,3,5,4] => 12 [1,2,6,4,3,5] => 12 [1,2,6,4,5,3] => 20 [1,2,6,5,3,4] => 18 [1,2,6,5,4,3] => 24 [1,3,2,4,5,6] => 2 [1,3,2,4,6,5] => 4 [1,3,2,5,4,6] => 4 [1,3,2,5,6,4] => 8 [1,3,2,6,4,5] => 8 [1,3,2,6,5,4] => 12 [1,3,4,2,5,6] => 4 [1,3,4,2,6,5] => 8 [1,3,4,5,2,6] => 8 [1,3,4,5,6,2] => 16 [1,3,4,6,2,5] => 16 [1,3,4,6,5,2] => 24 [1,3,5,2,4,6] => 8 [1,3,5,2,6,4] => 16 [1,3,5,4,2,6] => 12 [1,3,5,4,6,2] => 24 [1,3,5,6,2,4] => 28 [1,3,5,6,4,2] => 36 [1,3,6,2,4,5] => 16 [1,3,6,2,5,4] => 24 [1,3,6,4,2,5] => 24 [1,3,6,4,5,2] => 40 [1,3,6,5,2,4] => 36 [1,3,6,5,4,2] => 48 [1,4,2,3,5,6] => 4 [1,4,2,3,6,5] => 8 [1,4,2,5,3,6] => 8 [1,4,2,5,6,3] => 16 [1,4,2,6,3,5] => 16 [1,4,2,6,5,3] => 24 [1,4,3,2,5,6] => 6 [1,4,3,2,6,5] => 12 [1,4,3,5,2,6] => 12 [1,4,3,5,6,2] => 24 [1,4,3,6,2,5] => 24 [1,4,3,6,5,2] => 36 [1,4,5,2,3,6] => 14 [1,4,5,2,6,3] => 28 [1,4,5,3,2,6] => 18 [1,4,5,3,6,2] => 36 [1,4,5,6,2,3] => 46 [1,4,5,6,3,2] => 54 [1,4,6,2,3,5] => 28 [1,4,6,2,5,3] => 44 [1,4,6,3,2,5] => 36 [1,4,6,3,5,2] => 60 [1,4,6,5,2,3] => 60 [1,4,6,5,3,2] => 72 [1,5,2,3,4,6] => 8 [1,5,2,3,6,4] => 16 [1,5,2,4,3,6] => 12 [1,5,2,4,6,3] => 24 [1,5,2,6,3,4] => 28 [1,5,2,6,4,3] => 36 [1,5,3,2,4,6] => 12 [1,5,3,2,6,4] => 24 [1,5,3,4,2,6] => 20 [1,5,3,4,6,2] => 40 [1,5,3,6,2,4] => 44 [1,5,3,6,4,2] => 60 [1,5,4,2,3,6] => 18 [1,5,4,2,6,3] => 36 [1,5,4,3,2,6] => 24 [1,5,4,3,6,2] => 48 [1,5,4,6,2,3] => 60 [1,5,4,6,3,2] => 72 [1,5,6,2,3,4] => 46 [1,5,6,2,4,3] => 60 [1,5,6,3,2,4] => 60 [1,5,6,3,4,2] => 88 [1,5,6,4,2,3] => 78 [1,5,6,4,3,2] => 96 [1,6,2,3,4,5] => 16 [1,6,2,3,5,4] => 24 [1,6,2,4,3,5] => 24 [1,6,2,4,5,3] => 40 [1,6,2,5,3,4] => 36 [1,6,2,5,4,3] => 48 [1,6,3,2,4,5] => 24 [1,6,3,2,5,4] => 36 [1,6,3,4,2,5] => 40 [1,6,3,4,5,2] => 68 [1,6,3,5,2,4] => 60 [1,6,3,5,4,2] => 84 [1,6,4,2,3,5] => 36 [1,6,4,2,5,3] => 60 [1,6,4,3,2,5] => 48 [1,6,4,3,5,2] => 84 [1,6,4,5,2,3] => 88 [1,6,4,5,3,2] => 108 [1,6,5,2,3,4] => 54 [1,6,5,2,4,3] => 72 [1,6,5,3,2,4] => 72 [1,6,5,3,4,2] => 108 [1,6,5,4,2,3] => 96 [1,6,5,4,3,2] => 120 [2,1,3,4,5,6] => 2 [2,1,3,4,6,5] => 4 [2,1,3,5,4,6] => 4 [2,1,3,5,6,4] => 8 [2,1,3,6,4,5] => 8 [2,1,3,6,5,4] => 12 [2,1,4,3,5,6] => 4 [2,1,4,3,6,5] => 8 [2,1,4,5,3,6] => 8 [2,1,4,5,6,3] => 16 [2,1,4,6,3,5] => 16 [2,1,4,6,5,3] => 24 [2,1,5,3,4,6] => 8 [2,1,5,3,6,4] => 16 [2,1,5,4,3,6] => 12 [2,1,5,4,6,3] => 24 [2,1,5,6,3,4] => 28 [2,1,5,6,4,3] => 36 [2,1,6,3,4,5] => 16 [2,1,6,3,5,4] => 24 [2,1,6,4,3,5] => 24 [2,1,6,4,5,3] => 40 [2,1,6,5,3,4] => 36 [2,1,6,5,4,3] => 48 [2,3,1,4,5,6] => 4 [2,3,1,4,6,5] => 8 [2,3,1,5,4,6] => 8 [2,3,1,5,6,4] => 16 [2,3,1,6,4,5] => 16 [2,3,1,6,5,4] => 24 [2,3,4,1,5,6] => 8 [2,3,4,1,6,5] => 16 [2,3,4,5,1,6] => 16 [2,3,4,5,6,1] => 32 [2,3,4,6,1,5] => 32 [2,3,4,6,5,1] => 48 [2,3,5,1,4,6] => 16 [2,3,5,1,6,4] => 32 [2,3,5,4,1,6] => 24 [2,3,5,4,6,1] => 48 [2,3,5,6,1,4] => 56 [2,3,5,6,4,1] => 72 [2,3,6,1,4,5] => 32 [2,3,6,1,5,4] => 48 [2,3,6,4,1,5] => 48 [2,3,6,4,5,1] => 80 [2,3,6,5,1,4] => 72 [2,3,6,5,4,1] => 96 [2,4,1,3,5,6] => 8 [2,4,1,3,6,5] => 16 [2,4,1,5,3,6] => 16 [2,4,1,5,6,3] => 32 [2,4,1,6,3,5] => 32 [2,4,1,6,5,3] => 48 [2,4,3,1,5,6] => 12 [2,4,3,1,6,5] => 24 [2,4,3,5,1,6] => 24 [2,4,3,5,6,1] => 48 [2,4,3,6,1,5] => 48 [2,4,3,6,5,1] => 72 [2,4,5,1,3,6] => 28 [2,4,5,1,6,3] => 56 [2,4,5,3,1,6] => 36 [2,4,5,3,6,1] => 72 [2,4,5,6,1,3] => 92 [2,4,5,6,3,1] => 108 [2,4,6,1,3,5] => 56 [2,4,6,1,5,3] => 88 [2,4,6,3,1,5] => 72 [2,4,6,3,5,1] => 120 [2,4,6,5,1,3] => 120 [2,4,6,5,3,1] => 144 [2,5,1,3,4,6] => 16 [2,5,1,3,6,4] => 32 [2,5,1,4,3,6] => 24 [2,5,1,4,6,3] => 48 [2,5,1,6,3,4] => 56 [2,5,1,6,4,3] => 72 [2,5,3,1,4,6] => 24 [2,5,3,1,6,4] => 48 [2,5,3,4,1,6] => 40 [2,5,3,4,6,1] => 80 [2,5,3,6,1,4] => 88 [2,5,3,6,4,1] => 120 [2,5,4,1,3,6] => 36 [2,5,4,1,6,3] => 72 [2,5,4,3,1,6] => 48 [2,5,4,3,6,1] => 96 [2,5,4,6,1,3] => 120 [2,5,4,6,3,1] => 144 [2,5,6,1,3,4] => 92 [2,5,6,1,4,3] => 120 [2,5,6,3,1,4] => 120 [2,5,6,3,4,1] => 176 [2,5,6,4,1,3] => 156 [2,5,6,4,3,1] => 192 [2,6,1,3,4,5] => 32 [2,6,1,3,5,4] => 48 [2,6,1,4,3,5] => 48 [2,6,1,4,5,3] => 80 [2,6,1,5,3,4] => 72 [2,6,1,5,4,3] => 96 [2,6,3,1,4,5] => 48 [2,6,3,1,5,4] => 72 [2,6,3,4,1,5] => 80 [2,6,3,4,5,1] => 136 [2,6,3,5,1,4] => 120 [2,6,3,5,4,1] => 168 [2,6,4,1,3,5] => 72 [2,6,4,1,5,3] => 120 [2,6,4,3,1,5] => 96 [2,6,4,3,5,1] => 168 [2,6,4,5,1,3] => 176 [2,6,4,5,3,1] => 216 [2,6,5,1,3,4] => 108 [2,6,5,1,4,3] => 144 [2,6,5,3,1,4] => 144 [2,6,5,3,4,1] => 216 [2,6,5,4,1,3] => 192 [2,6,5,4,3,1] => 240 [3,1,2,4,5,6] => 4 [3,1,2,4,6,5] => 8 [3,1,2,5,4,6] => 8 [3,1,2,5,6,4] => 16 [3,1,2,6,4,5] => 16 [3,1,2,6,5,4] => 24 [3,1,4,2,5,6] => 8 [3,1,4,2,6,5] => 16 [3,1,4,5,2,6] => 16 [3,1,4,5,6,2] => 32 [3,1,4,6,2,5] => 32 [3,1,4,6,5,2] => 48 [3,1,5,2,4,6] => 16 [3,1,5,2,6,4] => 32 [3,1,5,4,2,6] => 24 [3,1,5,4,6,2] => 48 [3,1,5,6,2,4] => 56 [3,1,5,6,4,2] => 72 [3,1,6,2,4,5] => 32 [3,1,6,2,5,4] => 48 [3,1,6,4,2,5] => 48 [3,1,6,4,5,2] => 80 [3,1,6,5,2,4] => 72 [3,1,6,5,4,2] => 96 [3,2,1,4,5,6] => 6 [3,2,1,4,6,5] => 12 [3,2,1,5,4,6] => 12 [3,2,1,5,6,4] => 24 [3,2,1,6,4,5] => 24 [3,2,1,6,5,4] => 36 [3,2,4,1,5,6] => 12 [3,2,4,1,6,5] => 24 [3,2,4,5,1,6] => 24 [3,2,4,5,6,1] => 48 [3,2,4,6,1,5] => 48 [3,2,4,6,5,1] => 72 [3,2,5,1,4,6] => 24 [3,2,5,1,6,4] => 48 [3,2,5,4,1,6] => 36 [3,2,5,4,6,1] => 72 [3,2,5,6,1,4] => 84 [3,2,5,6,4,1] => 108 [3,2,6,1,4,5] => 48 [3,2,6,1,5,4] => 72 [3,2,6,4,1,5] => 72 [3,2,6,4,5,1] => 120 [3,2,6,5,1,4] => 108 [3,2,6,5,4,1] => 144 [3,4,1,2,5,6] => 14 [3,4,1,2,6,5] => 28 [3,4,1,5,2,6] => 28 [3,4,1,5,6,2] => 56 [3,4,1,6,2,5] => 56 [3,4,1,6,5,2] => 84 [3,4,2,1,5,6] => 18 [3,4,2,1,6,5] => 36 [3,4,2,5,1,6] => 36 [3,4,2,5,6,1] => 72 [3,4,2,6,1,5] => 72 [3,4,2,6,5,1] => 108 [3,4,5,1,2,6] => 46 [3,4,5,1,6,2] => 92 [3,4,5,2,1,6] => 54 [3,4,5,2,6,1] => 108 [3,4,5,6,1,2] => 146 [3,4,5,6,2,1] => 162 [3,4,6,1,2,5] => 92 [3,4,6,1,5,2] => 148 [3,4,6,2,1,5] => 108 [3,4,6,2,5,1] => 180 [3,4,6,5,1,2] => 192 [3,4,6,5,2,1] => 216 [3,5,1,2,4,6] => 28 [3,5,1,2,6,4] => 56 [3,5,1,4,2,6] => 44 [3,5,1,4,6,2] => 88 [3,5,1,6,2,4] => 100 [3,5,1,6,4,2] => 132 [3,5,2,1,4,6] => 36 [3,5,2,1,6,4] => 72 [3,5,2,4,1,6] => 60 [3,5,2,4,6,1] => 120 [3,5,2,6,1,4] => 132 [3,5,2,6,4,1] => 180 [3,5,4,1,2,6] => 60 [3,5,4,1,6,2] => 120 [3,5,4,2,1,6] => 72 [3,5,4,2,6,1] => 144 [3,5,4,6,1,2] => 192 [3,5,4,6,2,1] => 216 [3,5,6,1,2,4] => 152 [3,5,6,1,4,2] => 208 [3,5,6,2,1,4] => 180 [3,5,6,2,4,1] => 264 [3,5,6,4,1,2] => 252 [3,5,6,4,2,1] => 288 [3,6,1,2,4,5] => 56 [3,6,1,2,5,4] => 84 [3,6,1,4,2,5] => 88 [3,6,1,4,5,2] => 148 [3,6,1,5,2,4] => 132 [3,6,1,5,4,2] => 180 [3,6,2,1,4,5] => 72 [3,6,2,1,5,4] => 108 [3,6,2,4,1,5] => 120 [3,6,2,4,5,1] => 204 [3,6,2,5,1,4] => 180 [3,6,2,5,4,1] => 252 [3,6,4,1,2,5] => 120 [3,6,4,1,5,2] => 204 [3,6,4,2,1,5] => 144 [3,6,4,2,5,1] => 252 [3,6,4,5,1,2] => 284 [3,6,4,5,2,1] => 324 [3,6,5,1,2,4] => 180 [3,6,5,1,4,2] => 252 [3,6,5,2,1,4] => 216 [3,6,5,2,4,1] => 324 [3,6,5,4,1,2] => 312 [3,6,5,4,2,1] => 360 [4,1,2,3,5,6] => 8 [4,1,2,3,6,5] => 16 [4,1,2,5,3,6] => 16 [4,1,2,5,6,3] => 32 [4,1,2,6,3,5] => 32 [4,1,2,6,5,3] => 48 [4,1,3,2,5,6] => 12 [4,1,3,2,6,5] => 24 [4,1,3,5,2,6] => 24 [4,1,3,5,6,2] => 48 [4,1,3,6,2,5] => 48 [4,1,3,6,5,2] => 72 [4,1,5,2,3,6] => 28 [4,1,5,2,6,3] => 56 [4,1,5,3,2,6] => 36 [4,1,5,3,6,2] => 72 [4,1,5,6,2,3] => 92 [4,1,5,6,3,2] => 108 [4,1,6,2,3,5] => 56 [4,1,6,2,5,3] => 88 [4,1,6,3,2,5] => 72 [4,1,6,3,5,2] => 120 [4,1,6,5,2,3] => 120 [4,1,6,5,3,2] => 144 [4,2,1,3,5,6] => 12 [4,2,1,3,6,5] => 24 [4,2,1,5,3,6] => 24 [4,2,1,5,6,3] => 48 [4,2,1,6,3,5] => 48 [4,2,1,6,5,3] => 72 [4,2,3,1,5,6] => 20 [4,2,3,1,6,5] => 40 [4,2,3,5,1,6] => 40 [4,2,3,5,6,1] => 80 [4,2,3,6,1,5] => 80 [4,2,3,6,5,1] => 120 [4,2,5,1,3,6] => 44 [4,2,5,1,6,3] => 88 [4,2,5,3,1,6] => 60 [4,2,5,3,6,1] => 120 [4,2,5,6,1,3] => 148 [4,2,5,6,3,1] => 180 [4,2,6,1,3,5] => 88 [4,2,6,1,5,3] => 136 [4,2,6,3,1,5] => 120 [4,2,6,3,5,1] => 200 [4,2,6,5,1,3] => 192 [4,2,6,5,3,1] => 240 [4,3,1,2,5,6] => 18 [4,3,1,2,6,5] => 36 [4,3,1,5,2,6] => 36 [4,3,1,5,6,2] => 72 [4,3,1,6,2,5] => 72 [4,3,1,6,5,2] => 108 [4,3,2,1,5,6] => 24 [4,3,2,1,6,5] => 48 [4,3,2,5,1,6] => 48 [4,3,2,5,6,1] => 96 [4,3,2,6,1,5] => 96 [4,3,2,6,5,1] => 144 [4,3,5,1,2,6] => 60 [4,3,5,1,6,2] => 120 [4,3,5,2,1,6] => 72 [4,3,5,2,6,1] => 144 [4,3,5,6,1,2] => 192 [4,3,5,6,2,1] => 216 [4,3,6,1,2,5] => 120 [4,3,6,1,5,2] => 192 [4,3,6,2,1,5] => 144 [4,3,6,2,5,1] => 240 [4,3,6,5,1,2] => 252 [4,3,6,5,2,1] => 288 [4,5,1,2,3,6] => 46 [4,5,1,2,6,3] => 92 [4,5,1,3,2,6] => 60 [4,5,1,3,6,2] => 120 [4,5,1,6,2,3] => 152 [4,5,1,6,3,2] => 180 [4,5,2,1,3,6] => 60 [4,5,2,1,6,3] => 120 [4,5,2,3,1,6] => 88 [4,5,2,3,6,1] => 176 [4,5,2,6,1,3] => 208 [4,5,2,6,3,1] => 264 [4,5,3,1,2,6] => 78 [4,5,3,1,6,2] => 156 [4,5,3,2,1,6] => 96 [4,5,3,2,6,1] => 192 [4,5,3,6,1,2] => 252 [4,5,3,6,2,1] => 288 [4,5,6,1,2,3] => 230 [4,5,6,1,3,2] => 276 [4,5,6,2,1,3] => 276 [4,5,6,2,3,1] => 368 [4,5,6,3,1,2] => 330 [4,5,6,3,2,1] => 384 [4,6,1,2,3,5] => 92 [4,6,1,2,5,3] => 148 [4,6,1,3,2,5] => 120 [4,6,1,3,5,2] => 204 [4,6,1,5,2,3] => 208 [4,6,1,5,3,2] => 252 [4,6,2,1,3,5] => 120 [4,6,2,1,5,3] => 192 [4,6,2,3,1,5] => 176 [4,6,2,3,5,1] => 304 [4,6,2,5,1,3] => 296 [4,6,2,5,3,1] => 384 [4,6,3,1,2,5] => 156 [4,6,3,1,5,2] => 264 [4,6,3,2,1,5] => 192 [4,6,3,2,5,1] => 336 [4,6,3,5,1,2] => 372 [4,6,3,5,2,1] => 432 [4,6,5,1,2,3] => 276 [4,6,5,1,3,2] => 336 [4,6,5,2,1,3] => 336 [4,6,5,2,3,1] => 456 [4,6,5,3,1,2] => 408 [4,6,5,3,2,1] => 480 [5,1,2,3,4,6] => 16 [5,1,2,3,6,4] => 32 [5,1,2,4,3,6] => 24 [5,1,2,4,6,3] => 48 [5,1,2,6,3,4] => 56 [5,1,2,6,4,3] => 72 [5,1,3,2,4,6] => 24 [5,1,3,2,6,4] => 48 [5,1,3,4,2,6] => 40 [5,1,3,4,6,2] => 80 [5,1,3,6,2,4] => 88 [5,1,3,6,4,2] => 120 [5,1,4,2,3,6] => 36 [5,1,4,2,6,3] => 72 [5,1,4,3,2,6] => 48 [5,1,4,3,6,2] => 96 [5,1,4,6,2,3] => 120 [5,1,4,6,3,2] => 144 [5,1,6,2,3,4] => 92 [5,1,6,2,4,3] => 120 [5,1,6,3,2,4] => 120 [5,1,6,3,4,2] => 176 [5,1,6,4,2,3] => 156 [5,1,6,4,3,2] => 192 [5,2,1,3,4,6] => 24 [5,2,1,3,6,4] => 48 [5,2,1,4,3,6] => 36 [5,2,1,4,6,3] => 72 [5,2,1,6,3,4] => 84 [5,2,1,6,4,3] => 108 [5,2,3,1,4,6] => 40 [5,2,3,1,6,4] => 80 [5,2,3,4,1,6] => 68 [5,2,3,4,6,1] => 136 [5,2,3,6,1,4] => 148 [5,2,3,6,4,1] => 204 [5,2,4,1,3,6] => 60 [5,2,4,1,6,3] => 120 [5,2,4,3,1,6] => 84 [5,2,4,3,6,1] => 168 [5,2,4,6,1,3] => 204 [5,2,4,6,3,1] => 252 [5,2,6,1,3,4] => 148 [5,2,6,1,4,3] => 192 [5,2,6,3,1,4] => 204 [5,2,6,3,4,1] => 304 [5,2,6,4,1,3] => 264 [5,2,6,4,3,1] => 336 [5,3,1,2,4,6] => 36 [5,3,1,2,6,4] => 72 [5,3,1,4,2,6] => 60 [5,3,1,4,6,2] => 120 [5,3,1,6,2,4] => 132 [5,3,1,6,4,2] => 180 [5,3,2,1,4,6] => 48 [5,3,2,1,6,4] => 96 [5,3,2,4,1,6] => 84 [5,3,2,4,6,1] => 168 [5,3,2,6,1,4] => 180 [5,3,2,6,4,1] => 252 [5,3,4,1,2,6] => 88 [5,3,4,1,6,2] => 176 [5,3,4,2,1,6] => 108 [5,3,4,2,6,1] => 216 [5,3,4,6,1,2] => 284 [5,3,4,6,2,1] => 324 [5,3,6,1,2,4] => 208 [5,3,6,1,4,2] => 296 [5,3,6,2,1,4] => 252 [5,3,6,2,4,1] => 384 [5,3,6,4,1,2] => 372 [5,3,6,4,2,1] => 432 [5,4,1,2,3,6] => 54 [5,4,1,2,6,3] => 108 [5,4,1,3,2,6] => 72 [5,4,1,3,6,2] => 144 [5,4,1,6,2,3] => 180 [5,4,1,6,3,2] => 216 [5,4,2,1,3,6] => 72 [5,4,2,1,6,3] => 144 [5,4,2,3,1,6] => 108 [5,4,2,3,6,1] => 216 [5,4,2,6,1,3] => 252 [5,4,2,6,3,1] => 324 [5,4,3,1,2,6] => 96 [5,4,3,1,6,2] => 192 [5,4,3,2,1,6] => 120 [5,4,3,2,6,1] => 240 [5,4,3,6,1,2] => 312 [5,4,3,6,2,1] => 360 [5,4,6,1,2,3] => 276 [5,4,6,1,3,2] => 336 [5,4,6,2,1,3] => 336 [5,4,6,2,3,1] => 456 [5,4,6,3,1,2] => 408 [5,4,6,3,2,1] => 480 [5,6,1,2,3,4] => 146 [5,6,1,2,4,3] => 192 [5,6,1,3,2,4] => 192 [5,6,1,3,4,2] => 284 [5,6,1,4,2,3] => 252 [5,6,1,4,3,2] => 312 [5,6,2,1,3,4] => 192 [5,6,2,1,4,3] => 252 [5,6,2,3,1,4] => 284 [5,6,2,3,4,1] => 436 [5,6,2,4,1,3] => 372 [5,6,2,4,3,1] => 492 [5,6,3,1,2,4] => 252 [5,6,3,1,4,2] => 372 [5,6,3,2,1,4] => 312 [5,6,3,2,4,1] => 492 [5,6,3,4,1,2] => 488 [5,6,3,4,2,1] => 576 [5,6,4,1,2,3] => 330 [5,6,4,1,3,2] => 408 [5,6,4,2,1,3] => 408 [5,6,4,2,3,1] => 564 [5,6,4,3,1,2] => 504 [5,6,4,3,2,1] => 600 [6,1,2,3,4,5] => 32 [6,1,2,3,5,4] => 48 [6,1,2,4,3,5] => 48 [6,1,2,4,5,3] => 80 [6,1,2,5,3,4] => 72 [6,1,2,5,4,3] => 96 [6,1,3,2,4,5] => 48 [6,1,3,2,5,4] => 72 [6,1,3,4,2,5] => 80 [6,1,3,4,5,2] => 136 [6,1,3,5,2,4] => 120 [6,1,3,5,4,2] => 168 [6,1,4,2,3,5] => 72 [6,1,4,2,5,3] => 120 [6,1,4,3,2,5] => 96 [6,1,4,3,5,2] => 168 [6,1,4,5,2,3] => 176 [6,1,4,5,3,2] => 216 [6,1,5,2,3,4] => 108 [6,1,5,2,4,3] => 144 [6,1,5,3,2,4] => 144 [6,1,5,3,4,2] => 216 [6,1,5,4,2,3] => 192 [6,1,5,4,3,2] => 240 [6,2,1,3,4,5] => 48 [6,2,1,3,5,4] => 72 [6,2,1,4,3,5] => 72 [6,2,1,4,5,3] => 120 [6,2,1,5,3,4] => 108 [6,2,1,5,4,3] => 144 [6,2,3,1,4,5] => 80 [6,2,3,1,5,4] => 120 [6,2,3,4,1,5] => 136 [6,2,3,4,5,1] => 232 [6,2,3,5,1,4] => 204 [6,2,3,5,4,1] => 288 [6,2,4,1,3,5] => 120 [6,2,4,1,5,3] => 200 [6,2,4,3,1,5] => 168 [6,2,4,3,5,1] => 296 [6,2,4,5,1,3] => 304 [6,2,4,5,3,1] => 384 [6,2,5,1,3,4] => 180 [6,2,5,1,4,3] => 240 [6,2,5,3,1,4] => 252 [6,2,5,3,4,1] => 384 [6,2,5,4,1,3] => 336 [6,2,5,4,3,1] => 432 [6,3,1,2,4,5] => 72 [6,3,1,2,5,4] => 108 [6,3,1,4,2,5] => 120 [6,3,1,4,5,2] => 204 [6,3,1,5,2,4] => 180 [6,3,1,5,4,2] => 252 [6,3,2,1,4,5] => 96 [6,3,2,1,5,4] => 144 [6,3,2,4,1,5] => 168 [6,3,2,4,5,1] => 288 [6,3,2,5,1,4] => 252 [6,3,2,5,4,1] => 360 [6,3,4,1,2,5] => 176 [6,3,4,1,5,2] => 304 [6,3,4,2,1,5] => 216 [6,3,4,2,5,1] => 384 [6,3,4,5,1,2] => 436 [6,3,4,5,2,1] => 504 [6,3,5,1,2,4] => 264 [6,3,5,1,4,2] => 384 [6,3,5,2,1,4] => 324 [6,3,5,2,4,1] => 504 [6,3,5,4,1,2] => 492 [6,3,5,4,2,1] => 576 [6,4,1,2,3,5] => 108 [6,4,1,2,5,3] => 180 [6,4,1,3,2,5] => 144 [6,4,1,3,5,2] => 252 [6,4,1,5,2,3] => 264 [6,4,1,5,3,2] => 324 [6,4,2,1,3,5] => 144 [6,4,2,1,5,3] => 240 [6,4,2,3,1,5] => 216 [6,4,2,3,5,1] => 384 [6,4,2,5,1,3] => 384 [6,4,2,5,3,1] => 504 [6,4,3,1,2,5] => 192 [6,4,3,1,5,2] => 336 [6,4,3,2,1,5] => 240 [6,4,3,2,5,1] => 432 [6,4,3,5,1,2] => 492 [6,4,3,5,2,1] => 576 [6,4,5,1,2,3] => 368 [6,4,5,1,3,2] => 456 [6,4,5,2,1,3] => 456 [6,4,5,2,3,1] => 632 [6,4,5,3,1,2] => 564 [6,4,5,3,2,1] => 672 [6,5,1,2,3,4] => 162 [6,5,1,2,4,3] => 216 [6,5,1,3,2,4] => 216 [6,5,1,3,4,2] => 324 [6,5,1,4,2,3] => 288 [6,5,1,4,3,2] => 360 [6,5,2,1,3,4] => 216 [6,5,2,1,4,3] => 288 [6,5,2,3,1,4] => 324 [6,5,2,3,4,1] => 504 [6,5,2,4,1,3] => 432 [6,5,2,4,3,1] => 576 [6,5,3,1,2,4] => 288 [6,5,3,1,4,2] => 432 [6,5,3,2,1,4] => 360 [6,5,3,2,4,1] => 576 [6,5,3,4,1,2] => 576 [6,5,3,4,2,1] => 684 [6,5,4,1,2,3] => 384 [6,5,4,1,3,2] => 480 [6,5,4,2,1,3] => 480 [6,5,4,2,3,1] => 672 [6,5,4,3,1,2] => 600 [6,5,4,3,2,1] => 720 ----------------------------------------------------------------------------- Created: Jun 15, 2013 at 13:19 by Chris Berg ----------------------------------------------------------------------------- Last Updated: Apr 01, 2015 at 21:31 by Martin Rubey