***************************************************************************** * 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: St000690 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The size of the conjugacy class of a permutation. Two permutations are conjugate if and only if they have the same cycle type, this statistic is then computed as described in [[St000182]]. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(pi): la = list(pi.cycle_type()) return factorial(sum(la))/prod(la)/prod(factorial(la.count(j)) for j in [1..la[0]+1]) ----------------------------------------------------------------------------- Statistic values: [1,2] => 1 [2,1] => 1 [1,2,3] => 1 [1,3,2] => 3 [2,1,3] => 3 [2,3,1] => 2 [3,1,2] => 2 [3,2,1] => 3 [1,2,3,4] => 1 [1,2,4,3] => 6 [1,3,2,4] => 6 [1,3,4,2] => 8 [1,4,2,3] => 8 [1,4,3,2] => 6 [2,1,3,4] => 6 [2,1,4,3] => 3 [2,3,1,4] => 8 [2,3,4,1] => 6 [2,4,1,3] => 6 [2,4,3,1] => 8 [3,1,2,4] => 8 [3,1,4,2] => 6 [3,2,1,4] => 6 [3,2,4,1] => 8 [3,4,1,2] => 3 [3,4,2,1] => 6 [4,1,2,3] => 6 [4,1,3,2] => 8 [4,2,1,3] => 8 [4,2,3,1] => 6 [4,3,1,2] => 6 [4,3,2,1] => 3 [1,2,3,4,5] => 1 [1,2,3,5,4] => 10 [1,2,4,3,5] => 10 [1,2,4,5,3] => 20 [1,2,5,3,4] => 20 [1,2,5,4,3] => 10 [1,3,2,4,5] => 10 [1,3,2,5,4] => 15 [1,3,4,2,5] => 20 [1,3,4,5,2] => 30 [1,3,5,2,4] => 30 [1,3,5,4,2] => 20 [1,4,2,3,5] => 20 [1,4,2,5,3] => 30 [1,4,3,2,5] => 10 [1,4,3,5,2] => 20 [1,4,5,2,3] => 15 [1,4,5,3,2] => 30 [1,5,2,3,4] => 30 [1,5,2,4,3] => 20 [1,5,3,2,4] => 20 [1,5,3,4,2] => 10 [1,5,4,2,3] => 30 [1,5,4,3,2] => 15 [2,1,3,4,5] => 10 [2,1,3,5,4] => 15 [2,1,4,3,5] => 15 [2,1,4,5,3] => 20 [2,1,5,3,4] => 20 [2,1,5,4,3] => 15 [2,3,1,4,5] => 20 [2,3,1,5,4] => 20 [2,3,4,1,5] => 30 [2,3,4,5,1] => 24 [2,3,5,1,4] => 24 [2,3,5,4,1] => 30 [2,4,1,3,5] => 30 [2,4,1,5,3] => 24 [2,4,3,1,5] => 20 [2,4,3,5,1] => 30 [2,4,5,1,3] => 20 [2,4,5,3,1] => 24 [2,5,1,3,4] => 24 [2,5,1,4,3] => 30 [2,5,3,1,4] => 30 [2,5,3,4,1] => 20 [2,5,4,1,3] => 24 [2,5,4,3,1] => 20 [3,1,2,4,5] => 20 [3,1,2,5,4] => 20 [3,1,4,2,5] => 30 [3,1,4,5,2] => 24 [3,1,5,2,4] => 24 [3,1,5,4,2] => 30 [3,2,1,4,5] => 10 [3,2,1,5,4] => 15 [3,2,4,1,5] => 20 [3,2,4,5,1] => 30 [3,2,5,1,4] => 30 [3,2,5,4,1] => 20 [3,4,1,2,5] => 15 [3,4,1,5,2] => 20 [3,4,2,1,5] => 30 [3,4,2,5,1] => 24 [3,4,5,1,2] => 24 [3,4,5,2,1] => 20 [3,5,1,2,4] => 20 [3,5,1,4,2] => 15 [3,5,2,1,4] => 24 [3,5,2,4,1] => 30 [3,5,4,1,2] => 20 [3,5,4,2,1] => 24 [4,1,2,3,5] => 30 [4,1,2,5,3] => 24 [4,1,3,2,5] => 20 [4,1,3,5,2] => 30 [4,1,5,2,3] => 20 [4,1,5,3,2] => 24 [4,2,1,3,5] => 20 [4,2,1,5,3] => 30 [4,2,3,1,5] => 10 [4,2,3,5,1] => 20 [4,2,5,1,3] => 15 [4,2,5,3,1] => 30 [4,3,1,2,5] => 30 [4,3,1,5,2] => 24 [4,3,2,1,5] => 15 [4,3,2,5,1] => 20 [4,3,5,1,2] => 20 [4,3,5,2,1] => 24 [4,5,1,2,3] => 24 [4,5,1,3,2] => 20 [4,5,2,1,3] => 20 [4,5,2,3,1] => 24 [4,5,3,1,2] => 15 [4,5,3,2,1] => 30 [5,1,2,3,4] => 24 [5,1,2,4,3] => 30 [5,1,3,2,4] => 30 [5,1,3,4,2] => 20 [5,1,4,2,3] => 24 [5,1,4,3,2] => 20 [5,2,1,3,4] => 30 [5,2,1,4,3] => 20 [5,2,3,1,4] => 20 [5,2,3,4,1] => 10 [5,2,4,1,3] => 30 [5,2,4,3,1] => 15 [5,3,1,2,4] => 24 [5,3,1,4,2] => 30 [5,3,2,1,4] => 20 [5,3,2,4,1] => 15 [5,3,4,1,2] => 24 [5,3,4,2,1] => 20 [5,4,1,2,3] => 20 [5,4,1,3,2] => 24 [5,4,2,1,3] => 24 [5,4,2,3,1] => 20 [5,4,3,1,2] => 30 [5,4,3,2,1] => 15 [1,2,3,4,5,6] => 1 [1,2,3,4,6,5] => 15 [1,2,3,5,4,6] => 15 [1,2,3,5,6,4] => 40 [1,2,3,6,4,5] => 40 [1,2,3,6,5,4] => 15 [1,2,4,3,5,6] => 15 [1,2,4,3,6,5] => 45 [1,2,4,5,3,6] => 40 [1,2,4,5,6,3] => 90 [1,2,4,6,3,5] => 90 [1,2,4,6,5,3] => 40 [1,2,5,3,4,6] => 40 [1,2,5,3,6,4] => 90 [1,2,5,4,3,6] => 15 [1,2,5,4,6,3] => 40 [1,2,5,6,3,4] => 45 [1,2,5,6,4,3] => 90 [1,2,6,3,4,5] => 90 [1,2,6,3,5,4] => 40 [1,2,6,4,3,5] => 40 [1,2,6,4,5,3] => 15 [1,2,6,5,3,4] => 90 [1,2,6,5,4,3] => 45 [1,3,2,4,5,6] => 15 [1,3,2,4,6,5] => 45 [1,3,2,5,4,6] => 45 [1,3,2,5,6,4] => 120 [1,3,2,6,4,5] => 120 [1,3,2,6,5,4] => 45 [1,3,4,2,5,6] => 40 [1,3,4,2,6,5] => 120 [1,3,4,5,2,6] => 90 [1,3,4,5,6,2] => 144 [1,3,4,6,2,5] => 144 [1,3,4,6,5,2] => 90 [1,3,5,2,4,6] => 90 [1,3,5,2,6,4] => 144 [1,3,5,4,2,6] => 40 [1,3,5,4,6,2] => 90 [1,3,5,6,2,4] => 120 [1,3,5,6,4,2] => 144 [1,3,6,2,4,5] => 144 [1,3,6,2,5,4] => 90 [1,3,6,4,2,5] => 90 [1,3,6,4,5,2] => 40 [1,3,6,5,2,4] => 144 [1,3,6,5,4,2] => 120 [1,4,2,3,5,6] => 40 [1,4,2,3,6,5] => 120 [1,4,2,5,3,6] => 90 [1,4,2,5,6,3] => 144 [1,4,2,6,3,5] => 144 [1,4,2,6,5,3] => 90 [1,4,3,2,5,6] => 15 [1,4,3,2,6,5] => 45 [1,4,3,5,2,6] => 40 [1,4,3,5,6,2] => 90 [1,4,3,6,2,5] => 90 [1,4,3,6,5,2] => 40 [1,4,5,2,3,6] => 45 [1,4,5,2,6,3] => 120 [1,4,5,3,2,6] => 90 [1,4,5,3,6,2] => 144 [1,4,5,6,2,3] => 144 [1,4,5,6,3,2] => 120 [1,4,6,2,3,5] => 120 [1,4,6,2,5,3] => 45 [1,4,6,3,2,5] => 144 [1,4,6,3,5,2] => 90 [1,4,6,5,2,3] => 120 [1,4,6,5,3,2] => 144 [1,5,2,3,4,6] => 90 [1,5,2,3,6,4] => 144 [1,5,2,4,3,6] => 40 [1,5,2,4,6,3] => 90 [1,5,2,6,3,4] => 120 [1,5,2,6,4,3] => 144 [1,5,3,2,4,6] => 40 [1,5,3,2,6,4] => 90 [1,5,3,4,2,6] => 15 [1,5,3,4,6,2] => 40 [1,5,3,6,2,4] => 45 [1,5,3,6,4,2] => 90 [1,5,4,2,3,6] => 90 [1,5,4,2,6,3] => 144 [1,5,4,3,2,6] => 45 [1,5,4,3,6,2] => 120 [1,5,4,6,2,3] => 120 [1,5,4,6,3,2] => 144 [1,5,6,2,3,4] => 144 [1,5,6,2,4,3] => 120 [1,5,6,3,2,4] => 120 [1,5,6,3,4,2] => 144 [1,5,6,4,2,3] => 45 [1,5,6,4,3,2] => 90 [1,6,2,3,4,5] => 144 [1,6,2,3,5,4] => 90 [1,6,2,4,3,5] => 90 [1,6,2,4,5,3] => 40 [1,6,2,5,3,4] => 144 [1,6,2,5,4,3] => 120 [1,6,3,2,4,5] => 90 [1,6,3,2,5,4] => 40 [1,6,3,4,2,5] => 40 [1,6,3,4,5,2] => 15 [1,6,3,5,2,4] => 90 [1,6,3,5,4,2] => 45 [1,6,4,2,3,5] => 144 [1,6,4,2,5,3] => 90 [1,6,4,3,2,5] => 120 [1,6,4,3,5,2] => 45 [1,6,4,5,2,3] => 144 [1,6,4,5,3,2] => 120 [1,6,5,2,3,4] => 120 [1,6,5,2,4,3] => 144 [1,6,5,3,2,4] => 144 [1,6,5,3,4,2] => 120 [1,6,5,4,2,3] => 90 [1,6,5,4,3,2] => 45 [2,1,3,4,5,6] => 15 [2,1,3,4,6,5] => 45 [2,1,3,5,4,6] => 45 [2,1,3,5,6,4] => 120 [2,1,3,6,4,5] => 120 [2,1,3,6,5,4] => 45 [2,1,4,3,5,6] => 45 [2,1,4,3,6,5] => 15 [2,1,4,5,3,6] => 120 [2,1,4,5,6,3] => 90 [2,1,4,6,3,5] => 90 [2,1,4,6,5,3] => 120 [2,1,5,3,4,6] => 120 [2,1,5,3,6,4] => 90 [2,1,5,4,3,6] => 45 [2,1,5,4,6,3] => 120 [2,1,5,6,3,4] => 15 [2,1,5,6,4,3] => 90 [2,1,6,3,4,5] => 90 [2,1,6,3,5,4] => 120 [2,1,6,4,3,5] => 120 [2,1,6,4,5,3] => 45 [2,1,6,5,3,4] => 90 [2,1,6,5,4,3] => 15 [2,3,1,4,5,6] => 40 [2,3,1,4,6,5] => 120 [2,3,1,5,4,6] => 120 [2,3,1,5,6,4] => 40 [2,3,1,6,4,5] => 40 [2,3,1,6,5,4] => 120 [2,3,4,1,5,6] => 90 [2,3,4,1,6,5] => 90 [2,3,4,5,1,6] => 144 [2,3,4,5,6,1] => 120 [2,3,4,6,1,5] => 120 [2,3,4,6,5,1] => 144 [2,3,5,1,4,6] => 144 [2,3,5,1,6,4] => 120 [2,3,5,4,1,6] => 90 [2,3,5,4,6,1] => 144 [2,3,5,6,1,4] => 90 [2,3,5,6,4,1] => 120 [2,3,6,1,4,5] => 120 [2,3,6,1,5,4] => 144 [2,3,6,4,1,5] => 144 [2,3,6,4,5,1] => 90 [2,3,6,5,1,4] => 120 [2,3,6,5,4,1] => 90 [2,4,1,3,5,6] => 90 [2,4,1,3,6,5] => 90 [2,4,1,5,3,6] => 144 [2,4,1,5,6,3] => 120 [2,4,1,6,3,5] => 120 [2,4,1,6,5,3] => 144 [2,4,3,1,5,6] => 40 [2,4,3,1,6,5] => 120 [2,4,3,5,1,6] => 90 [2,4,3,5,6,1] => 144 [2,4,3,6,1,5] => 144 [2,4,3,6,5,1] => 90 [2,4,5,1,3,6] => 120 [2,4,5,1,6,3] => 40 [2,4,5,3,1,6] => 144 [2,4,5,3,6,1] => 120 [2,4,5,6,1,3] => 120 [2,4,5,6,3,1] => 90 [2,4,6,1,3,5] => 40 [2,4,6,1,5,3] => 120 [2,4,6,3,1,5] => 120 [2,4,6,3,5,1] => 144 [2,4,6,5,1,3] => 90 [2,4,6,5,3,1] => 120 [2,5,1,3,4,6] => 144 [2,5,1,3,6,4] => 120 [2,5,1,4,3,6] => 90 [2,5,1,4,6,3] => 144 [2,5,1,6,3,4] => 90 [2,5,1,6,4,3] => 120 [2,5,3,1,4,6] => 90 [2,5,3,1,6,4] => 144 [2,5,3,4,1,6] => 40 [2,5,3,4,6,1] => 90 [2,5,3,6,1,4] => 120 [2,5,3,6,4,1] => 144 [2,5,4,1,3,6] => 144 [2,5,4,1,6,3] => 120 [2,5,4,3,1,6] => 120 [2,5,4,3,6,1] => 90 [2,5,4,6,1,3] => 40 [2,5,4,6,3,1] => 120 [2,5,6,1,3,4] => 120 [2,5,6,1,4,3] => 90 [2,5,6,3,1,4] => 40 [2,5,6,3,4,1] => 120 [2,5,6,4,1,3] => 120 [2,5,6,4,3,1] => 144 [2,6,1,3,4,5] => 120 [2,6,1,3,5,4] => 144 [2,6,1,4,3,5] => 144 [2,6,1,4,5,3] => 90 [2,6,1,5,3,4] => 120 [2,6,1,5,4,3] => 90 [2,6,3,1,4,5] => 144 [2,6,3,1,5,4] => 90 [2,6,3,4,1,5] => 90 [2,6,3,4,5,1] => 40 [2,6,3,5,1,4] => 144 [2,6,3,5,4,1] => 120 [2,6,4,1,3,5] => 120 [2,6,4,1,5,3] => 144 [2,6,4,3,1,5] => 90 [2,6,4,3,5,1] => 120 [2,6,4,5,1,3] => 120 [2,6,4,5,3,1] => 40 [2,6,5,1,3,4] => 90 [2,6,5,1,4,3] => 120 [2,6,5,3,1,4] => 120 [2,6,5,3,4,1] => 40 [2,6,5,4,1,3] => 144 [2,6,5,4,3,1] => 120 [3,1,2,4,5,6] => 40 [3,1,2,4,6,5] => 120 [3,1,2,5,4,6] => 120 [3,1,2,5,6,4] => 40 [3,1,2,6,4,5] => 40 [3,1,2,6,5,4] => 120 [3,1,4,2,5,6] => 90 [3,1,4,2,6,5] => 90 [3,1,4,5,2,6] => 144 [3,1,4,5,6,2] => 120 [3,1,4,6,2,5] => 120 [3,1,4,6,5,2] => 144 [3,1,5,2,4,6] => 144 [3,1,5,2,6,4] => 120 [3,1,5,4,2,6] => 90 [3,1,5,4,6,2] => 144 [3,1,5,6,2,4] => 90 [3,1,5,6,4,2] => 120 [3,1,6,2,4,5] => 120 [3,1,6,2,5,4] => 144 [3,1,6,4,2,5] => 144 [3,1,6,4,5,2] => 90 [3,1,6,5,2,4] => 120 [3,1,6,5,4,2] => 90 [3,2,1,4,5,6] => 15 [3,2,1,4,6,5] => 45 [3,2,1,5,4,6] => 45 [3,2,1,5,6,4] => 120 [3,2,1,6,4,5] => 120 [3,2,1,6,5,4] => 45 [3,2,4,1,5,6] => 40 [3,2,4,1,6,5] => 120 [3,2,4,5,1,6] => 90 [3,2,4,5,6,1] => 144 [3,2,4,6,1,5] => 144 [3,2,4,6,5,1] => 90 [3,2,5,1,4,6] => 90 [3,2,5,1,6,4] => 144 [3,2,5,4,1,6] => 40 [3,2,5,4,6,1] => 90 [3,2,5,6,1,4] => 120 [3,2,5,6,4,1] => 144 [3,2,6,1,4,5] => 144 [3,2,6,1,5,4] => 90 [3,2,6,4,1,5] => 90 [3,2,6,4,5,1] => 40 [3,2,6,5,1,4] => 144 [3,2,6,5,4,1] => 120 [3,4,1,2,5,6] => 45 [3,4,1,2,6,5] => 15 [3,4,1,5,2,6] => 120 [3,4,1,5,6,2] => 90 [3,4,1,6,2,5] => 90 [3,4,1,6,5,2] => 120 [3,4,2,1,5,6] => 90 [3,4,2,1,6,5] => 90 [3,4,2,5,1,6] => 144 [3,4,2,5,6,1] => 120 [3,4,2,6,1,5] => 120 [3,4,2,6,5,1] => 144 [3,4,5,1,2,6] => 144 [3,4,5,1,6,2] => 120 [3,4,5,2,1,6] => 120 [3,4,5,2,6,1] => 90 [3,4,5,6,1,2] => 40 [3,4,5,6,2,1] => 120 [3,4,6,1,2,5] => 120 [3,4,6,1,5,2] => 144 [3,4,6,2,1,5] => 90 [3,4,6,2,5,1] => 120 [3,4,6,5,1,2] => 120 [3,4,6,5,2,1] => 40 [3,5,1,2,4,6] => 120 [3,5,1,2,6,4] => 90 [3,5,1,4,2,6] => 45 [3,5,1,4,6,2] => 120 [3,5,1,6,2,4] => 15 [3,5,1,6,4,2] => 90 [3,5,2,1,4,6] => 144 [3,5,2,1,6,4] => 120 [3,5,2,4,1,6] => 90 [3,5,2,4,6,1] => 144 [3,5,2,6,1,4] => 90 [3,5,2,6,4,1] => 120 [3,5,4,1,2,6] => 120 [3,5,4,1,6,2] => 40 [3,5,4,2,1,6] => 144 [3,5,4,2,6,1] => 120 [3,5,4,6,1,2] => 120 [3,5,4,6,2,1] => 90 [3,5,6,1,2,4] => 90 [3,5,6,1,4,2] => 120 [3,5,6,2,1,4] => 120 [3,5,6,2,4,1] => 40 [3,5,6,4,1,2] => 144 [3,5,6,4,2,1] => 120 [3,6,1,2,4,5] => 90 [3,6,1,2,5,4] => 120 [3,6,1,4,2,5] => 120 [3,6,1,4,5,2] => 45 [3,6,1,5,2,4] => 90 [3,6,1,5,4,2] => 15 [3,6,2,1,4,5] => 120 [3,6,2,1,5,4] => 144 [3,6,2,4,1,5] => 144 [3,6,2,4,5,1] => 90 [3,6,2,5,1,4] => 120 [3,6,2,5,4,1] => 90 [3,6,4,1,2,5] => 40 [3,6,4,1,5,2] => 120 [3,6,4,2,1,5] => 120 [3,6,4,2,5,1] => 144 [3,6,4,5,1,2] => 90 [3,6,4,5,2,1] => 120 [3,6,5,1,2,4] => 120 [3,6,5,1,4,2] => 90 [3,6,5,2,1,4] => 40 [3,6,5,2,4,1] => 120 [3,6,5,4,1,2] => 120 [3,6,5,4,2,1] => 144 [4,1,2,3,5,6] => 90 [4,1,2,3,6,5] => 90 [4,1,2,5,3,6] => 144 [4,1,2,5,6,3] => 120 [4,1,2,6,3,5] => 120 [4,1,2,6,5,3] => 144 [4,1,3,2,5,6] => 40 [4,1,3,2,6,5] => 120 [4,1,3,5,2,6] => 90 [4,1,3,5,6,2] => 144 [4,1,3,6,2,5] => 144 [4,1,3,6,5,2] => 90 [4,1,5,2,3,6] => 120 [4,1,5,2,6,3] => 40 [4,1,5,3,2,6] => 144 [4,1,5,3,6,2] => 120 [4,1,5,6,2,3] => 120 [4,1,5,6,3,2] => 90 [4,1,6,2,3,5] => 40 [4,1,6,2,5,3] => 120 [4,1,6,3,2,5] => 120 [4,1,6,3,5,2] => 144 [4,1,6,5,2,3] => 90 [4,1,6,5,3,2] => 120 [4,2,1,3,5,6] => 40 [4,2,1,3,6,5] => 120 [4,2,1,5,3,6] => 90 [4,2,1,5,6,3] => 144 [4,2,1,6,3,5] => 144 [4,2,1,6,5,3] => 90 [4,2,3,1,5,6] => 15 [4,2,3,1,6,5] => 45 [4,2,3,5,1,6] => 40 [4,2,3,5,6,1] => 90 [4,2,3,6,1,5] => 90 [4,2,3,6,5,1] => 40 [4,2,5,1,3,6] => 45 [4,2,5,1,6,3] => 120 [4,2,5,3,1,6] => 90 [4,2,5,3,6,1] => 144 [4,2,5,6,1,3] => 144 [4,2,5,6,3,1] => 120 [4,2,6,1,3,5] => 120 [4,2,6,1,5,3] => 45 [4,2,6,3,1,5] => 144 [4,2,6,3,5,1] => 90 [4,2,6,5,1,3] => 120 [4,2,6,5,3,1] => 144 [4,3,1,2,5,6] => 90 [4,3,1,2,6,5] => 90 [4,3,1,5,2,6] => 144 [4,3,1,5,6,2] => 120 [4,3,1,6,2,5] => 120 [4,3,1,6,5,2] => 144 [4,3,2,1,5,6] => 45 [4,3,2,1,6,5] => 15 [4,3,2,5,1,6] => 120 [4,3,2,5,6,1] => 90 [4,3,2,6,1,5] => 90 [4,3,2,6,5,1] => 120 [4,3,5,1,2,6] => 120 [4,3,5,1,6,2] => 90 [4,3,5,2,1,6] => 144 [4,3,5,2,6,1] => 120 [4,3,5,6,1,2] => 120 [4,3,5,6,2,1] => 40 [4,3,6,1,2,5] => 90 [4,3,6,1,5,2] => 120 [4,3,6,2,1,5] => 120 [4,3,6,2,5,1] => 144 [4,3,6,5,1,2] => 40 [4,3,6,5,2,1] => 120 [4,5,1,2,3,6] => 144 [4,5,1,2,6,3] => 120 [4,5,1,3,2,6] => 120 [4,5,1,3,6,2] => 40 [4,5,1,6,2,3] => 90 [4,5,1,6,3,2] => 120 [4,5,2,1,3,6] => 120 [4,5,2,1,6,3] => 90 [4,5,2,3,1,6] => 144 [4,5,2,3,6,1] => 120 [4,5,2,6,1,3] => 120 [4,5,2,6,3,1] => 40 [4,5,3,1,2,6] => 45 [4,5,3,1,6,2] => 120 [4,5,3,2,1,6] => 90 [4,5,3,2,6,1] => 144 [4,5,3,6,1,2] => 144 [4,5,3,6,2,1] => 120 [4,5,6,1,2,3] => 15 [4,5,6,1,3,2] => 90 [4,5,6,2,1,3] => 90 [4,5,6,2,3,1] => 120 [4,5,6,3,1,2] => 120 [4,5,6,3,2,1] => 90 [4,6,1,2,3,5] => 120 [4,6,1,2,5,3] => 144 [4,6,1,3,2,5] => 40 [4,6,1,3,5,2] => 120 [4,6,1,5,2,3] => 120 [4,6,1,5,3,2] => 90 [4,6,2,1,3,5] => 90 [4,6,2,1,5,3] => 120 [4,6,2,3,1,5] => 120 [4,6,2,3,5,1] => 144 [4,6,2,5,1,3] => 40 [4,6,2,5,3,1] => 120 [4,6,3,1,2,5] => 120 [4,6,3,1,5,2] => 45 [4,6,3,2,1,5] => 144 [4,6,3,2,5,1] => 90 [4,6,3,5,1,2] => 120 [4,6,3,5,2,1] => 144 [4,6,5,1,2,3] => 90 [4,6,5,1,3,2] => 15 [4,6,5,2,1,3] => 120 [4,6,5,2,3,1] => 90 [4,6,5,3,1,2] => 90 [4,6,5,3,2,1] => 120 [5,1,2,3,4,6] => 144 [5,1,2,3,6,4] => 120 [5,1,2,4,3,6] => 90 [5,1,2,4,6,3] => 144 [5,1,2,6,3,4] => 90 [5,1,2,6,4,3] => 120 [5,1,3,2,4,6] => 90 [5,1,3,2,6,4] => 144 [5,1,3,4,2,6] => 40 [5,1,3,4,6,2] => 90 [5,1,3,6,2,4] => 120 [5,1,3,6,4,2] => 144 [5,1,4,2,3,6] => 144 [5,1,4,2,6,3] => 120 [5,1,4,3,2,6] => 120 [5,1,4,3,6,2] => 90 [5,1,4,6,2,3] => 40 [5,1,4,6,3,2] => 120 [5,1,6,2,3,4] => 120 [5,1,6,2,4,3] => 90 [5,1,6,3,2,4] => 40 [5,1,6,3,4,2] => 120 [5,1,6,4,2,3] => 120 [5,1,6,4,3,2] => 144 [5,2,1,3,4,6] => 90 [5,2,1,3,6,4] => 144 [5,2,1,4,3,6] => 40 [5,2,1,4,6,3] => 90 [5,2,1,6,3,4] => 120 [5,2,1,6,4,3] => 144 [5,2,3,1,4,6] => 40 [5,2,3,1,6,4] => 90 [5,2,3,4,1,6] => 15 [5,2,3,4,6,1] => 40 [5,2,3,6,1,4] => 45 [5,2,3,6,4,1] => 90 [5,2,4,1,3,6] => 90 [5,2,4,1,6,3] => 144 [5,2,4,3,1,6] => 45 [5,2,4,3,6,1] => 120 [5,2,4,6,1,3] => 120 [5,2,4,6,3,1] => 144 [5,2,6,1,3,4] => 144 [5,2,6,1,4,3] => 120 [5,2,6,3,1,4] => 120 [5,2,6,3,4,1] => 144 [5,2,6,4,1,3] => 45 [5,2,6,4,3,1] => 90 [5,3,1,2,4,6] => 144 [5,3,1,2,6,4] => 120 [5,3,1,4,2,6] => 90 [5,3,1,4,6,2] => 144 [5,3,1,6,2,4] => 90 [5,3,1,6,4,2] => 120 [5,3,2,1,4,6] => 120 [5,3,2,1,6,4] => 90 [5,3,2,4,1,6] => 45 [5,3,2,4,6,1] => 120 [5,3,2,6,1,4] => 15 [5,3,2,6,4,1] => 90 [5,3,4,1,2,6] => 144 [5,3,4,1,6,2] => 120 [5,3,4,2,1,6] => 120 [5,3,4,2,6,1] => 40 [5,3,4,6,1,2] => 90 [5,3,4,6,2,1] => 120 [5,3,6,1,2,4] => 120 [5,3,6,1,4,2] => 40 [5,3,6,2,1,4] => 90 [5,3,6,2,4,1] => 120 [5,3,6,4,1,2] => 120 [5,3,6,4,2,1] => 144 [5,4,1,2,3,6] => 120 [5,4,1,2,6,3] => 90 [5,4,1,3,2,6] => 144 [5,4,1,3,6,2] => 120 [5,4,1,6,2,3] => 120 [5,4,1,6,3,2] => 40 [5,4,2,1,3,6] => 144 [5,4,2,1,6,3] => 120 [5,4,2,3,1,6] => 120 [5,4,2,3,6,1] => 40 [5,4,2,6,1,3] => 90 [5,4,2,6,3,1] => 120 [5,4,3,1,2,6] => 90 [5,4,3,1,6,2] => 144 [5,4,3,2,1,6] => 45 [5,4,3,2,6,1] => 120 [5,4,3,6,1,2] => 120 [5,4,3,6,2,1] => 144 [5,4,6,1,2,3] => 90 [5,4,6,1,3,2] => 120 [5,4,6,2,1,3] => 15 [5,4,6,2,3,1] => 90 [5,4,6,3,1,2] => 90 [5,4,6,3,2,1] => 120 [5,6,1,2,3,4] => 40 [5,6,1,2,4,3] => 120 [5,6,1,3,2,4] => 120 [5,6,1,3,4,2] => 90 [5,6,1,4,2,3] => 144 [5,6,1,4,3,2] => 120 [5,6,2,1,3,4] => 120 [5,6,2,1,4,3] => 40 [5,6,2,3,1,4] => 90 [5,6,2,3,4,1] => 120 [5,6,2,4,1,3] => 120 [5,6,2,4,3,1] => 144 [5,6,3,1,2,4] => 144 [5,6,3,1,4,2] => 120 [5,6,3,2,1,4] => 120 [5,6,3,2,4,1] => 144 [5,6,3,4,1,2] => 45 [5,6,3,4,2,1] => 90 [5,6,4,1,2,3] => 120 [5,6,4,1,3,2] => 90 [5,6,4,2,1,3] => 90 [5,6,4,2,3,1] => 120 [5,6,4,3,1,2] => 15 [5,6,4,3,2,1] => 90 [6,1,2,3,4,5] => 120 [6,1,2,3,5,4] => 144 [6,1,2,4,3,5] => 144 [6,1,2,4,5,3] => 90 [6,1,2,5,3,4] => 120 [6,1,2,5,4,3] => 90 [6,1,3,2,4,5] => 144 [6,1,3,2,5,4] => 90 [6,1,3,4,2,5] => 90 [6,1,3,4,5,2] => 40 [6,1,3,5,2,4] => 144 [6,1,3,5,4,2] => 120 [6,1,4,2,3,5] => 120 [6,1,4,2,5,3] => 144 [6,1,4,3,2,5] => 90 [6,1,4,3,5,2] => 120 [6,1,4,5,2,3] => 120 [6,1,4,5,3,2] => 40 [6,1,5,2,3,4] => 90 [6,1,5,2,4,3] => 120 [6,1,5,3,2,4] => 120 [6,1,5,3,4,2] => 40 [6,1,5,4,2,3] => 144 [6,1,5,4,3,2] => 120 [6,2,1,3,4,5] => 144 [6,2,1,3,5,4] => 90 [6,2,1,4,3,5] => 90 [6,2,1,4,5,3] => 40 [6,2,1,5,3,4] => 144 [6,2,1,5,4,3] => 120 [6,2,3,1,4,5] => 90 [6,2,3,1,5,4] => 40 [6,2,3,4,1,5] => 40 [6,2,3,4,5,1] => 15 [6,2,3,5,1,4] => 90 [6,2,3,5,4,1] => 45 [6,2,4,1,3,5] => 144 [6,2,4,1,5,3] => 90 [6,2,4,3,1,5] => 120 [6,2,4,3,5,1] => 45 [6,2,4,5,1,3] => 144 [6,2,4,5,3,1] => 120 [6,2,5,1,3,4] => 120 [6,2,5,1,4,3] => 144 [6,2,5,3,1,4] => 144 [6,2,5,3,4,1] => 120 [6,2,5,4,1,3] => 90 [6,2,5,4,3,1] => 45 [6,3,1,2,4,5] => 120 [6,3,1,2,5,4] => 144 [6,3,1,4,2,5] => 144 [6,3,1,4,5,2] => 90 [6,3,1,5,2,4] => 120 [6,3,1,5,4,2] => 90 [6,3,2,1,4,5] => 90 [6,3,2,1,5,4] => 120 [6,3,2,4,1,5] => 120 [6,3,2,4,5,1] => 45 [6,3,2,5,1,4] => 90 [6,3,2,5,4,1] => 15 [6,3,4,1,2,5] => 120 [6,3,4,1,5,2] => 144 [6,3,4,2,1,5] => 40 [6,3,4,2,5,1] => 120 [6,3,4,5,1,2] => 120 [6,3,4,5,2,1] => 90 [6,3,5,1,2,4] => 40 [6,3,5,1,4,2] => 120 [6,3,5,2,1,4] => 120 [6,3,5,2,4,1] => 90 [6,3,5,4,1,2] => 144 [6,3,5,4,2,1] => 120 [6,4,1,2,3,5] => 90 [6,4,1,2,5,3] => 120 [6,4,1,3,2,5] => 120 [6,4,1,3,5,2] => 144 [6,4,1,5,2,3] => 40 [6,4,1,5,3,2] => 120 [6,4,2,1,3,5] => 120 [6,4,2,1,5,3] => 144 [6,4,2,3,1,5] => 40 [6,4,2,3,5,1] => 120 [6,4,2,5,1,3] => 120 [6,4,2,5,3,1] => 90 [6,4,3,1,2,5] => 144 [6,4,3,1,5,2] => 90 [6,4,3,2,1,5] => 120 [6,4,3,2,5,1] => 45 [6,4,3,5,1,2] => 144 [6,4,3,5,2,1] => 120 [6,4,5,1,2,3] => 120 [6,4,5,1,3,2] => 90 [6,4,5,2,1,3] => 90 [6,4,5,2,3,1] => 15 [6,4,5,3,1,2] => 120 [6,4,5,3,2,1] => 90 [6,5,1,2,3,4] => 120 [6,5,1,2,4,3] => 40 [6,5,1,3,2,4] => 90 [6,5,1,3,4,2] => 120 [6,5,1,4,2,3] => 120 [6,5,1,4,3,2] => 144 [6,5,2,1,3,4] => 40 [6,5,2,1,4,3] => 120 [6,5,2,3,1,4] => 120 [6,5,2,3,4,1] => 90 [6,5,2,4,1,3] => 144 [6,5,2,4,3,1] => 120 [6,5,3,1,2,4] => 120 [6,5,3,1,4,2] => 144 [6,5,3,2,1,4] => 144 [6,5,3,2,4,1] => 120 [6,5,3,4,1,2] => 90 [6,5,3,4,2,1] => 45 [6,5,4,1,2,3] => 90 [6,5,4,1,3,2] => 120 [6,5,4,2,1,3] => 120 [6,5,4,2,3,1] => 90 [6,5,4,3,1,2] => 90 [6,5,4,3,2,1] => 15 [1,2,3,4,5,6,7] => 1 [1,2,3,4,5,7,6] => 21 [1,2,3,4,6,5,7] => 21 [1,2,3,4,6,7,5] => 70 [1,2,3,4,7,5,6] => 70 [1,2,3,4,7,6,5] => 21 [1,2,3,5,4,6,7] => 21 [1,2,3,5,4,7,6] => 105 [1,2,3,5,6,4,7] => 70 [1,2,3,5,6,7,4] => 210 [1,2,3,5,7,4,6] => 210 [1,2,3,5,7,6,4] => 70 [1,2,3,6,4,5,7] => 70 [1,2,3,6,4,7,5] => 210 [1,2,3,6,5,4,7] => 21 [1,2,3,6,5,7,4] => 70 [1,2,3,6,7,4,5] => 105 [1,2,3,6,7,5,4] => 210 [1,2,3,7,4,5,6] => 210 [1,2,3,7,4,6,5] => 70 [1,2,3,7,5,4,6] => 70 [1,2,3,7,5,6,4] => 21 [1,2,3,7,6,4,5] => 210 [1,2,3,7,6,5,4] => 105 [1,2,4,3,5,6,7] => 21 [1,2,4,3,5,7,6] => 105 [1,2,4,3,6,5,7] => 105 [1,2,4,3,6,7,5] => 420 [1,2,4,3,7,5,6] => 420 [1,2,4,3,7,6,5] => 105 [1,2,4,5,3,6,7] => 70 [1,2,4,5,3,7,6] => 420 [1,2,4,5,6,3,7] => 210 [1,2,4,5,6,7,3] => 504 [1,2,4,5,7,3,6] => 504 [1,2,4,5,7,6,3] => 210 [1,2,4,6,3,5,7] => 210 [1,2,4,6,3,7,5] => 504 [1,2,4,6,5,3,7] => 70 [1,2,4,6,5,7,3] => 210 [1,2,4,6,7,3,5] => 420 [1,2,4,6,7,5,3] => 504 [1,2,4,7,3,5,6] => 504 [1,2,4,7,3,6,5] => 210 [1,2,4,7,5,3,6] => 210 [1,2,4,7,5,6,3] => 70 [1,2,4,7,6,3,5] => 504 [1,2,4,7,6,5,3] => 420 [1,2,5,3,4,6,7] => 70 [1,2,5,3,4,7,6] => 420 [1,2,5,3,6,4,7] => 210 [1,2,5,3,6,7,4] => 504 [1,2,5,3,7,4,6] => 504 [1,2,5,3,7,6,4] => 210 [1,2,5,4,3,6,7] => 21 [1,2,5,4,3,7,6] => 105 [1,2,5,4,6,3,7] => 70 [1,2,5,4,6,7,3] => 210 [1,2,5,4,7,3,6] => 210 [1,2,5,4,7,6,3] => 70 [1,2,5,6,3,4,7] => 105 [1,2,5,6,3,7,4] => 420 [1,2,5,6,4,3,7] => 210 [1,2,5,6,4,7,3] => 504 [1,2,5,6,7,3,4] => 504 [1,2,5,6,7,4,3] => 420 [1,2,5,7,3,4,6] => 420 [1,2,5,7,3,6,4] => 105 [1,2,5,7,4,3,6] => 504 [1,2,5,7,4,6,3] => 210 [1,2,5,7,6,3,4] => 420 [1,2,5,7,6,4,3] => 504 [1,2,6,3,4,5,7] => 210 [1,2,6,3,4,7,5] => 504 [1,2,6,3,5,4,7] => 70 [1,2,6,3,5,7,4] => 210 [1,2,6,3,7,4,5] => 420 [1,2,6,3,7,5,4] => 504 [1,2,6,4,3,5,7] => 70 [1,2,6,4,3,7,5] => 210 [1,2,6,4,5,3,7] => 21 [1,2,6,4,5,7,3] => 70 [1,2,6,4,7,3,5] => 105 [1,2,6,4,7,5,3] => 210 [1,2,6,5,3,4,7] => 210 [1,2,6,5,3,7,4] => 504 [1,2,6,5,4,3,7] => 105 [1,2,6,5,4,7,3] => 420 [1,2,6,5,7,3,4] => 420 [1,2,6,5,7,4,3] => 504 [1,2,6,7,3,4,5] => 504 [1,2,6,7,3,5,4] => 420 [1,2,6,7,4,3,5] => 420 [1,2,6,7,4,5,3] => 504 [1,2,6,7,5,3,4] => 105 [1,2,6,7,5,4,3] => 210 [1,2,7,3,4,5,6] => 504 [1,2,7,3,4,6,5] => 210 [1,2,7,3,5,4,6] => 210 [1,2,7,3,5,6,4] => 70 [1,2,7,3,6,4,5] => 504 [1,2,7,3,6,5,4] => 420 [1,2,7,4,3,5,6] => 210 [1,2,7,4,3,6,5] => 70 [1,2,7,4,5,3,6] => 70 [1,2,7,4,5,6,3] => 21 [1,2,7,4,6,3,5] => 210 [1,2,7,4,6,5,3] => 105 [1,2,7,5,3,4,6] => 504 [1,2,7,5,3,6,4] => 210 [1,2,7,5,4,3,6] => 420 [1,2,7,5,4,6,3] => 105 [1,2,7,5,6,3,4] => 504 [1,2,7,5,6,4,3] => 420 [1,2,7,6,3,4,5] => 420 [1,2,7,6,3,5,4] => 504 [1,2,7,6,4,3,5] => 504 [1,2,7,6,4,5,3] => 420 [1,2,7,6,5,3,4] => 210 [1,2,7,6,5,4,3] => 105 [1,3,2,4,5,6,7] => 21 [1,3,2,4,5,7,6] => 105 [1,3,2,4,6,5,7] => 105 [1,3,2,4,6,7,5] => 420 [1,3,2,4,7,5,6] => 420 [1,3,2,4,7,6,5] => 105 [1,3,2,5,4,6,7] => 105 [1,3,2,5,4,7,6] => 105 [1,3,2,5,6,4,7] => 420 [1,3,2,5,6,7,4] => 630 [1,3,2,5,7,4,6] => 630 [1,3,2,5,7,6,4] => 420 [1,3,2,6,4,5,7] => 420 [1,3,2,6,4,7,5] => 630 [1,3,2,6,5,4,7] => 105 [1,3,2,6,5,7,4] => 420 [1,3,2,6,7,4,5] => 105 [1,3,2,6,7,5,4] => 630 [1,3,2,7,4,5,6] => 630 [1,3,2,7,4,6,5] => 420 [1,3,2,7,5,4,6] => 420 [1,3,2,7,5,6,4] => 105 [1,3,2,7,6,4,5] => 630 [1,3,2,7,6,5,4] => 105 [1,3,4,2,5,6,7] => 70 [1,3,4,2,5,7,6] => 420 [1,3,4,2,6,5,7] => 420 [1,3,4,2,6,7,5] => 280 [1,3,4,2,7,5,6] => 280 [1,3,4,2,7,6,5] => 420 [1,3,4,5,2,6,7] => 210 [1,3,4,5,2,7,6] => 630 [1,3,4,5,6,2,7] => 504 [1,3,4,5,6,7,2] => 840 [1,3,4,5,7,2,6] => 840 [1,3,4,5,7,6,2] => 504 [1,3,4,6,2,5,7] => 504 [1,3,4,6,2,7,5] => 840 [1,3,4,6,5,2,7] => 210 [1,3,4,6,5,7,2] => 504 [1,3,4,6,7,2,5] => 630 [1,3,4,6,7,5,2] => 840 [1,3,4,7,2,5,6] => 840 [1,3,4,7,2,6,5] => 504 [1,3,4,7,5,2,6] => 504 [1,3,4,7,5,6,2] => 210 [1,3,4,7,6,2,5] => 840 [1,3,4,7,6,5,2] => 630 [1,3,5,2,4,6,7] => 210 [1,3,5,2,4,7,6] => 630 [1,3,5,2,6,4,7] => 504 [1,3,5,2,6,7,4] => 840 [1,3,5,2,7,4,6] => 840 [1,3,5,2,7,6,4] => 504 [1,3,5,4,2,6,7] => 70 [1,3,5,4,2,7,6] => 420 [1,3,5,4,6,2,7] => 210 [1,3,5,4,6,7,2] => 504 [1,3,5,4,7,2,6] => 504 [1,3,5,4,7,6,2] => 210 [1,3,5,6,2,4,7] => 420 [1,3,5,6,2,7,4] => 280 [1,3,5,6,4,2,7] => 504 [1,3,5,6,4,7,2] => 840 [1,3,5,6,7,2,4] => 840 [1,3,5,6,7,4,2] => 630 [1,3,5,7,2,4,6] => 280 [1,3,5,7,2,6,4] => 420 [1,3,5,7,4,2,6] => 840 [1,3,5,7,4,6,2] => 504 [1,3,5,7,6,2,4] => 630 [1,3,5,7,6,4,2] => 840 [1,3,6,2,4,5,7] => 504 [1,3,6,2,4,7,5] => 840 [1,3,6,2,5,4,7] => 210 [1,3,6,2,5,7,4] => 504 [1,3,6,2,7,4,5] => 630 [1,3,6,2,7,5,4] => 840 [1,3,6,4,2,5,7] => 210 [1,3,6,4,2,7,5] => 504 [1,3,6,4,5,2,7] => 70 [1,3,6,4,5,7,2] => 210 [1,3,6,4,7,2,5] => 420 [1,3,6,4,7,5,2] => 504 [1,3,6,5,2,4,7] => 504 [1,3,6,5,2,7,4] => 840 [1,3,6,5,4,2,7] => 420 [1,3,6,5,4,7,2] => 630 [1,3,6,5,7,2,4] => 280 [1,3,6,5,7,4,2] => 840 [1,3,6,7,2,4,5] => 840 [1,3,6,7,2,5,4] => 630 [1,3,6,7,4,2,5] => 280 [1,3,6,7,4,5,2] => 840 [1,3,6,7,5,2,4] => 420 [1,3,6,7,5,4,2] => 504 [1,3,7,2,4,5,6] => 840 [1,3,7,2,4,6,5] => 504 [1,3,7,2,5,4,6] => 504 [1,3,7,2,5,6,4] => 210 [1,3,7,2,6,4,5] => 840 [1,3,7,2,6,5,4] => 630 [1,3,7,4,2,5,6] => 504 [1,3,7,4,2,6,5] => 210 [1,3,7,4,5,2,6] => 210 [1,3,7,4,5,6,2] => 70 [1,3,7,4,6,2,5] => 504 [1,3,7,4,6,5,2] => 420 [1,3,7,5,2,4,6] => 840 [1,3,7,5,2,6,4] => 504 [1,3,7,5,4,2,6] => 630 [1,3,7,5,4,6,2] => 420 [1,3,7,5,6,2,4] => 840 [1,3,7,5,6,4,2] => 280 [1,3,7,6,2,4,5] => 630 [1,3,7,6,2,5,4] => 840 [1,3,7,6,4,2,5] => 840 [1,3,7,6,4,5,2] => 280 [1,3,7,6,5,2,4] => 504 [1,3,7,6,5,4,2] => 420 [1,4,2,3,5,6,7] => 70 [1,4,2,3,5,7,6] => 420 [1,4,2,3,6,5,7] => 420 [1,4,2,3,6,7,5] => 280 [1,4,2,3,7,5,6] => 280 [1,4,2,3,7,6,5] => 420 [1,4,2,5,3,6,7] => 210 [1,4,2,5,3,7,6] => 630 [1,4,2,5,6,3,7] => 504 [1,4,2,5,6,7,3] => 840 [1,4,2,5,7,3,6] => 840 [1,4,2,5,7,6,3] => 504 [1,4,2,6,3,5,7] => 504 [1,4,2,6,3,7,5] => 840 [1,4,2,6,5,3,7] => 210 [1,4,2,6,5,7,3] => 504 [1,4,2,6,7,3,5] => 630 [1,4,2,6,7,5,3] => 840 [1,4,2,7,3,5,6] => 840 [1,4,2,7,3,6,5] => 504 [1,4,2,7,5,3,6] => 504 [1,4,2,7,5,6,3] => 210 [1,4,2,7,6,3,5] => 840 [1,4,2,7,6,5,3] => 630 [1,4,3,2,5,6,7] => 21 [1,4,3,2,5,7,6] => 105 [1,4,3,2,6,5,7] => 105 [1,4,3,2,6,7,5] => 420 [1,4,3,2,7,5,6] => 420 [1,4,3,2,7,6,5] => 105 [1,4,3,5,2,6,7] => 70 [1,4,3,5,2,7,6] => 420 [1,4,3,5,6,2,7] => 210 [1,4,3,5,6,7,2] => 504 [1,4,3,5,7,2,6] => 504 [1,4,3,5,7,6,2] => 210 [1,4,3,6,2,5,7] => 210 [1,4,3,6,2,7,5] => 504 [1,4,3,6,5,2,7] => 70 [1,4,3,6,5,7,2] => 210 [1,4,3,6,7,2,5] => 420 [1,4,3,6,7,5,2] => 504 [1,4,3,7,2,5,6] => 504 [1,4,3,7,2,6,5] => 210 [1,4,3,7,5,2,6] => 210 [1,4,3,7,5,6,2] => 70 [1,4,3,7,6,2,5] => 504 [1,4,3,7,6,5,2] => 420 [1,4,5,2,3,6,7] => 105 [1,4,5,2,3,7,6] => 105 [1,4,5,2,6,3,7] => 420 [1,4,5,2,6,7,3] => 630 [1,4,5,2,7,3,6] => 630 [1,4,5,2,7,6,3] => 420 [1,4,5,3,2,6,7] => 210 [1,4,5,3,2,7,6] => 630 [1,4,5,3,6,2,7] => 504 [1,4,5,3,6,7,2] => 840 [1,4,5,3,7,2,6] => 840 [1,4,5,3,7,6,2] => 504 [1,4,5,6,2,3,7] => 504 [1,4,5,6,2,7,3] => 840 [1,4,5,6,3,2,7] => 420 [1,4,5,6,3,7,2] => 630 [1,4,5,6,7,2,3] => 280 [1,4,5,6,7,3,2] => 840 [1,4,5,7,2,3,6] => 840 [1,4,5,7,2,6,3] => 504 [1,4,5,7,3,2,6] => 630 [1,4,5,7,3,6,2] => 420 [1,4,5,7,6,2,3] => 840 [1,4,5,7,6,3,2] => 280 [1,4,6,2,3,5,7] => 420 [1,4,6,2,3,7,5] => 630 [1,4,6,2,5,3,7] => 105 [1,4,6,2,5,7,3] => 420 [1,4,6,2,7,3,5] => 105 [1,4,6,2,7,5,3] => 630 [1,4,6,3,2,5,7] => 504 [1,4,6,3,2,7,5] => 840 [1,4,6,3,5,2,7] => 210 [1,4,6,3,5,7,2] => 504 [1,4,6,3,7,2,5] => 630 [1,4,6,3,7,5,2] => 840 [1,4,6,5,2,3,7] => 420 [1,4,6,5,2,7,3] => 280 [1,4,6,5,3,2,7] => 504 [1,4,6,5,3,7,2] => 840 ----------------------------------------------------------------------------- Created: Jan 22, 2017 at 19:17 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Jan 22, 2017 at 20:34 by Christian Stump