***************************************************************************** * 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: St000709 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The number of occurrences of 14-2-3 or 14-3-2. The number of permutations avoiding both of these patterns is the case \$k=2\$ of the third item in Corollary 34 of [1]. ----------------------------------------------------------------------------- References: [1] Pilaud, V. Brick polytopes, lattice quotients, and Hopf algebras [[arXiv:1505.07665]] ----------------------------------------------------------------------------- Code: def statistic(pi): res = 0 for i in range(len(pi)-1): (a, b) = pi[i], pi[i+1] if a < b: C = len([1 for j in range(i+2,len(pi)) if a < pi[j] < b]) res += binomial(C, 2) return res ----------------------------------------------------------------------------- Statistic values: [1,2] => 0 [2,1] => 0 [1,2,3] => 0 [1,3,2] => 0 [2,1,3] => 0 [2,3,1] => 0 [3,1,2] => 0 [3,2,1] => 0 [1,2,3,4] => 0 [1,2,4,3] => 0 [1,3,2,4] => 0 [1,3,4,2] => 0 [1,4,2,3] => 1 [1,4,3,2] => 1 [2,1,3,4] => 0 [2,1,4,3] => 0 [2,3,1,4] => 0 [2,3,4,1] => 0 [2,4,1,3] => 0 [2,4,3,1] => 0 [3,1,2,4] => 0 [3,1,4,2] => 0 [3,2,1,4] => 0 [3,2,4,1] => 0 [3,4,1,2] => 0 [3,4,2,1] => 0 [4,1,2,3] => 0 [4,1,3,2] => 0 [4,2,1,3] => 0 [4,2,3,1] => 0 [4,3,1,2] => 0 [4,3,2,1] => 0 [1,2,3,4,5] => 0 [1,2,3,5,4] => 0 [1,2,4,3,5] => 0 [1,2,4,5,3] => 0 [1,2,5,3,4] => 1 [1,2,5,4,3] => 1 [1,3,2,4,5] => 0 [1,3,2,5,4] => 0 [1,3,4,2,5] => 0 [1,3,4,5,2] => 0 [1,3,5,2,4] => 0 [1,3,5,4,2] => 0 [1,4,2,3,5] => 1 [1,4,2,5,3] => 1 [1,4,3,2,5] => 1 [1,4,3,5,2] => 1 [1,4,5,2,3] => 1 [1,4,5,3,2] => 1 [1,5,2,3,4] => 3 [1,5,2,4,3] => 3 [1,5,3,2,4] => 3 [1,5,3,4,2] => 3 [1,5,4,2,3] => 3 [1,5,4,3,2] => 3 [2,1,3,4,5] => 0 [2,1,3,5,4] => 0 [2,1,4,3,5] => 0 [2,1,4,5,3] => 0 [2,1,5,3,4] => 1 [2,1,5,4,3] => 1 [2,3,1,4,5] => 0 [2,3,1,5,4] => 0 [2,3,4,1,5] => 0 [2,3,4,5,1] => 0 [2,3,5,1,4] => 0 [2,3,5,4,1] => 0 [2,4,1,3,5] => 0 [2,4,1,5,3] => 0 [2,4,3,1,5] => 0 [2,4,3,5,1] => 0 [2,4,5,1,3] => 0 [2,4,5,3,1] => 0 [2,5,1,3,4] => 1 [2,5,1,4,3] => 1 [2,5,3,1,4] => 1 [2,5,3,4,1] => 1 [2,5,4,1,3] => 1 [2,5,4,3,1] => 1 [3,1,2,4,5] => 0 [3,1,2,5,4] => 0 [3,1,4,2,5] => 0 [3,1,4,5,2] => 0 [3,1,5,2,4] => 1 [3,1,5,4,2] => 1 [3,2,1,4,5] => 0 [3,2,1,5,4] => 0 [3,2,4,1,5] => 0 [3,2,4,5,1] => 0 [3,2,5,1,4] => 0 [3,2,5,4,1] => 0 [3,4,1,2,5] => 0 [3,4,1,5,2] => 0 [3,4,2,1,5] => 0 [3,4,2,5,1] => 0 [3,4,5,1,2] => 0 [3,4,5,2,1] => 0 [3,5,1,2,4] => 0 [3,5,1,4,2] => 0 [3,5,2,1,4] => 0 [3,5,2,4,1] => 0 [3,5,4,1,2] => 0 [3,5,4,2,1] => 0 [4,1,2,3,5] => 0 [4,1,2,5,3] => 0 [4,1,3,2,5] => 0 [4,1,3,5,2] => 0 [4,1,5,2,3] => 1 [4,1,5,3,2] => 1 [4,2,1,3,5] => 0 [4,2,1,5,3] => 0 [4,2,3,1,5] => 0 [4,2,3,5,1] => 0 [4,2,5,1,3] => 0 [4,2,5,3,1] => 0 [4,3,1,2,5] => 0 [4,3,1,5,2] => 0 [4,3,2,1,5] => 0 [4,3,2,5,1] => 0 [4,3,5,1,2] => 0 [4,3,5,2,1] => 0 [4,5,1,2,3] => 0 [4,5,1,3,2] => 0 [4,5,2,1,3] => 0 [4,5,2,3,1] => 0 [4,5,3,1,2] => 0 [4,5,3,2,1] => 0 [5,1,2,3,4] => 0 [5,1,2,4,3] => 0 [5,1,3,2,4] => 0 [5,1,3,4,2] => 0 [5,1,4,2,3] => 1 [5,1,4,3,2] => 1 [5,2,1,3,4] => 0 [5,2,1,4,3] => 0 [5,2,3,1,4] => 0 [5,2,3,4,1] => 0 [5,2,4,1,3] => 0 [5,2,4,3,1] => 0 [5,3,1,2,4] => 0 [5,3,1,4,2] => 0 [5,3,2,1,4] => 0 [5,3,2,4,1] => 0 [5,3,4,1,2] => 0 [5,3,4,2,1] => 0 [5,4,1,2,3] => 0 [5,4,1,3,2] => 0 [5,4,2,1,3] => 0 [5,4,2,3,1] => 0 [5,4,3,1,2] => 0 [5,4,3,2,1] => 0 [1,2,3,4,5,6] => 0 [1,2,3,4,6,5] => 0 [1,2,3,5,4,6] => 0 [1,2,3,5,6,4] => 0 [1,2,3,6,4,5] => 1 [1,2,3,6,5,4] => 1 [1,2,4,3,5,6] => 0 [1,2,4,3,6,5] => 0 [1,2,4,5,3,6] => 0 [1,2,4,5,6,3] => 0 [1,2,4,6,3,5] => 0 [1,2,4,6,5,3] => 0 [1,2,5,3,4,6] => 1 [1,2,5,3,6,4] => 1 [1,2,5,4,3,6] => 1 [1,2,5,4,6,3] => 1 [1,2,5,6,3,4] => 1 [1,2,5,6,4,3] => 1 [1,2,6,3,4,5] => 3 [1,2,6,3,5,4] => 3 [1,2,6,4,3,5] => 3 [1,2,6,4,5,3] => 3 [1,2,6,5,3,4] => 3 [1,2,6,5,4,3] => 3 [1,3,2,4,5,6] => 0 [1,3,2,4,6,5] => 0 [1,3,2,5,4,6] => 0 [1,3,2,5,6,4] => 0 [1,3,2,6,4,5] => 1 [1,3,2,6,5,4] => 1 [1,3,4,2,5,6] => 0 [1,3,4,2,6,5] => 0 [1,3,4,5,2,6] => 0 [1,3,4,5,6,2] => 0 [1,3,4,6,2,5] => 0 [1,3,4,6,5,2] => 0 [1,3,5,2,4,6] => 0 [1,3,5,2,6,4] => 0 [1,3,5,4,2,6] => 0 [1,3,5,4,6,2] => 0 [1,3,5,6,2,4] => 0 [1,3,5,6,4,2] => 0 [1,3,6,2,4,5] => 1 [1,3,6,2,5,4] => 1 [1,3,6,4,2,5] => 1 [1,3,6,4,5,2] => 1 [1,3,6,5,2,4] => 1 [1,3,6,5,4,2] => 1 [1,4,2,3,5,6] => 1 [1,4,2,3,6,5] => 1 [1,4,2,5,3,6] => 1 [1,4,2,5,6,3] => 1 [1,4,2,6,3,5] => 2 [1,4,2,6,5,3] => 2 [1,4,3,2,5,6] => 1 [1,4,3,2,6,5] => 1 [1,4,3,5,2,6] => 1 [1,4,3,5,6,2] => 1 [1,4,3,6,2,5] => 1 [1,4,3,6,5,2] => 1 [1,4,5,2,3,6] => 1 [1,4,5,2,6,3] => 1 [1,4,5,3,2,6] => 1 [1,4,5,3,6,2] => 1 [1,4,5,6,2,3] => 1 [1,4,5,6,3,2] => 1 [1,4,6,2,3,5] => 1 [1,4,6,2,5,3] => 1 [1,4,6,3,2,5] => 1 [1,4,6,3,5,2] => 1 [1,4,6,5,2,3] => 1 [1,4,6,5,3,2] => 1 [1,5,2,3,4,6] => 3 [1,5,2,3,6,4] => 3 [1,5,2,4,3,6] => 3 [1,5,2,4,6,3] => 3 [1,5,2,6,3,4] => 4 [1,5,2,6,4,3] => 4 [1,5,3,2,4,6] => 3 [1,5,3,2,6,4] => 3 [1,5,3,4,2,6] => 3 [1,5,3,4,6,2] => 3 [1,5,3,6,2,4] => 3 [1,5,3,6,4,2] => 3 [1,5,4,2,3,6] => 3 [1,5,4,2,6,3] => 3 [1,5,4,3,2,6] => 3 [1,5,4,3,6,2] => 3 [1,5,4,6,2,3] => 3 [1,5,4,6,3,2] => 3 [1,5,6,2,3,4] => 3 [1,5,6,2,4,3] => 3 [1,5,6,3,2,4] => 3 [1,5,6,3,4,2] => 3 [1,5,6,4,2,3] => 3 [1,5,6,4,3,2] => 3 [1,6,2,3,4,5] => 6 [1,6,2,3,5,4] => 6 [1,6,2,4,3,5] => 6 [1,6,2,4,5,3] => 6 [1,6,2,5,3,4] => 7 [1,6,2,5,4,3] => 7 [1,6,3,2,4,5] => 6 [1,6,3,2,5,4] => 6 [1,6,3,4,2,5] => 6 [1,6,3,4,5,2] => 6 [1,6,3,5,2,4] => 6 [1,6,3,5,4,2] => 6 [1,6,4,2,3,5] => 6 [1,6,4,2,5,3] => 6 [1,6,4,3,2,5] => 6 [1,6,4,3,5,2] => 6 [1,6,4,5,2,3] => 6 [1,6,4,5,3,2] => 6 [1,6,5,2,3,4] => 6 [1,6,5,2,4,3] => 6 [1,6,5,3,2,4] => 6 [1,6,5,3,4,2] => 6 [1,6,5,4,2,3] => 6 [1,6,5,4,3,2] => 6 [2,1,3,4,5,6] => 0 [2,1,3,4,6,5] => 0 [2,1,3,5,4,6] => 0 [2,1,3,5,6,4] => 0 [2,1,3,6,4,5] => 1 [2,1,3,6,5,4] => 1 [2,1,4,3,5,6] => 0 [2,1,4,3,6,5] => 0 [2,1,4,5,3,6] => 0 [2,1,4,5,6,3] => 0 [2,1,4,6,3,5] => 0 [2,1,4,6,5,3] => 0 [2,1,5,3,4,6] => 1 [2,1,5,3,6,4] => 1 [2,1,5,4,3,6] => 1 [2,1,5,4,6,3] => 1 [2,1,5,6,3,4] => 1 [2,1,5,6,4,3] => 1 [2,1,6,3,4,5] => 3 [2,1,6,3,5,4] => 3 [2,1,6,4,3,5] => 3 [2,1,6,4,5,3] => 3 [2,1,6,5,3,4] => 3 [2,1,6,5,4,3] => 3 [2,3,1,4,5,6] => 0 [2,3,1,4,6,5] => 0 [2,3,1,5,4,6] => 0 [2,3,1,5,6,4] => 0 [2,3,1,6,4,5] => 1 [2,3,1,6,5,4] => 1 [2,3,4,1,5,6] => 0 [2,3,4,1,6,5] => 0 [2,3,4,5,1,6] => 0 [2,3,4,5,6,1] => 0 [2,3,4,6,1,5] => 0 [2,3,4,6,5,1] => 0 [2,3,5,1,4,6] => 0 [2,3,5,1,6,4] => 0 [2,3,5,4,1,6] => 0 [2,3,5,4,6,1] => 0 [2,3,5,6,1,4] => 0 [2,3,5,6,4,1] => 0 [2,3,6,1,4,5] => 1 [2,3,6,1,5,4] => 1 [2,3,6,4,1,5] => 1 [2,3,6,4,5,1] => 1 [2,3,6,5,1,4] => 1 [2,3,6,5,4,1] => 1 [2,4,1,3,5,6] => 0 [2,4,1,3,6,5] => 0 [2,4,1,5,3,6] => 0 [2,4,1,5,6,3] => 0 [2,4,1,6,3,5] => 1 [2,4,1,6,5,3] => 1 [2,4,3,1,5,6] => 0 [2,4,3,1,6,5] => 0 [2,4,3,5,1,6] => 0 [2,4,3,5,6,1] => 0 [2,4,3,6,1,5] => 0 [2,4,3,6,5,1] => 0 [2,4,5,1,3,6] => 0 [2,4,5,1,6,3] => 0 [2,4,5,3,1,6] => 0 [2,4,5,3,6,1] => 0 [2,4,5,6,1,3] => 0 [2,4,5,6,3,1] => 0 [2,4,6,1,3,5] => 0 [2,4,6,1,5,3] => 0 [2,4,6,3,1,5] => 0 [2,4,6,3,5,1] => 0 [2,4,6,5,1,3] => 0 [2,4,6,5,3,1] => 0 [2,5,1,3,4,6] => 1 [2,5,1,3,6,4] => 1 [2,5,1,4,3,6] => 1 [2,5,1,4,6,3] => 1 [2,5,1,6,3,4] => 2 [2,5,1,6,4,3] => 2 [2,5,3,1,4,6] => 1 [2,5,3,1,6,4] => 1 [2,5,3,4,1,6] => 1 [2,5,3,4,6,1] => 1 [2,5,3,6,1,4] => 1 [2,5,3,6,4,1] => 1 [2,5,4,1,3,6] => 1 [2,5,4,1,6,3] => 1 [2,5,4,3,1,6] => 1 [2,5,4,3,6,1] => 1 [2,5,4,6,1,3] => 1 [2,5,4,6,3,1] => 1 [2,5,6,1,3,4] => 1 [2,5,6,1,4,3] => 1 [2,5,6,3,1,4] => 1 [2,5,6,3,4,1] => 1 [2,5,6,4,1,3] => 1 [2,5,6,4,3,1] => 1 [2,6,1,3,4,5] => 3 [2,6,1,3,5,4] => 3 [2,6,1,4,3,5] => 3 [2,6,1,4,5,3] => 3 [2,6,1,5,3,4] => 4 [2,6,1,5,4,3] => 4 [2,6,3,1,4,5] => 3 [2,6,3,1,5,4] => 3 [2,6,3,4,1,5] => 3 [2,6,3,4,5,1] => 3 [2,6,3,5,1,4] => 3 [2,6,3,5,4,1] => 3 [2,6,4,1,3,5] => 3 [2,6,4,1,5,3] => 3 [2,6,4,3,1,5] => 3 [2,6,4,3,5,1] => 3 [2,6,4,5,1,3] => 3 [2,6,4,5,3,1] => 3 [2,6,5,1,3,4] => 3 [2,6,5,1,4,3] => 3 [2,6,5,3,1,4] => 3 [2,6,5,3,4,1] => 3 [2,6,5,4,1,3] => 3 [2,6,5,4,3,1] => 3 [3,1,2,4,5,6] => 0 [3,1,2,4,6,5] => 0 [3,1,2,5,4,6] => 0 [3,1,2,5,6,4] => 0 [3,1,2,6,4,5] => 1 [3,1,2,6,5,4] => 1 [3,1,4,2,5,6] => 0 [3,1,4,2,6,5] => 0 [3,1,4,5,2,6] => 0 [3,1,4,5,6,2] => 0 [3,1,4,6,2,5] => 0 [3,1,4,6,5,2] => 0 [3,1,5,2,4,6] => 1 [3,1,5,2,6,4] => 1 [3,1,5,4,2,6] => 1 [3,1,5,4,6,2] => 1 [3,1,5,6,2,4] => 1 [3,1,5,6,4,2] => 1 [3,1,6,2,4,5] => 3 [3,1,6,2,5,4] => 3 [3,1,6,4,2,5] => 3 [3,1,6,4,5,2] => 3 [3,1,6,5,2,4] => 3 [3,1,6,5,4,2] => 3 [3,2,1,4,5,6] => 0 [3,2,1,4,6,5] => 0 [3,2,1,5,4,6] => 0 [3,2,1,5,6,4] => 0 [3,2,1,6,4,5] => 1 [3,2,1,6,5,4] => 1 [3,2,4,1,5,6] => 0 [3,2,4,1,6,5] => 0 [3,2,4,5,1,6] => 0 [3,2,4,5,6,1] => 0 [3,2,4,6,1,5] => 0 [3,2,4,6,5,1] => 0 [3,2,5,1,4,6] => 0 [3,2,5,1,6,4] => 0 [3,2,5,4,1,6] => 0 [3,2,5,4,6,1] => 0 [3,2,5,6,1,4] => 0 [3,2,5,6,4,1] => 0 [3,2,6,1,4,5] => 1 [3,2,6,1,5,4] => 1 [3,2,6,4,1,5] => 1 [3,2,6,4,5,1] => 1 [3,2,6,5,1,4] => 1 [3,2,6,5,4,1] => 1 [3,4,1,2,5,6] => 0 [3,4,1,2,6,5] => 0 [3,4,1,5,2,6] => 0 [3,4,1,5,6,2] => 0 [3,4,1,6,2,5] => 1 [3,4,1,6,5,2] => 1 [3,4,2,1,5,6] => 0 [3,4,2,1,6,5] => 0 [3,4,2,5,1,6] => 0 [3,4,2,5,6,1] => 0 [3,4,2,6,1,5] => 0 [3,4,2,6,5,1] => 0 [3,4,5,1,2,6] => 0 [3,4,5,1,6,2] => 0 [3,4,5,2,1,6] => 0 [3,4,5,2,6,1] => 0 [3,4,5,6,1,2] => 0 [3,4,5,6,2,1] => 0 [3,4,6,1,2,5] => 0 [3,4,6,1,5,2] => 0 [3,4,6,2,1,5] => 0 [3,4,6,2,5,1] => 0 [3,4,6,5,1,2] => 0 [3,4,6,5,2,1] => 0 [3,5,1,2,4,6] => 0 [3,5,1,2,6,4] => 0 [3,5,1,4,2,6] => 0 [3,5,1,4,6,2] => 0 [3,5,1,6,2,4] => 1 [3,5,1,6,4,2] => 1 [3,5,2,1,4,6] => 0 [3,5,2,1,6,4] => 0 [3,5,2,4,1,6] => 0 [3,5,2,4,6,1] => 0 [3,5,2,6,1,4] => 0 [3,5,2,6,4,1] => 0 [3,5,4,1,2,6] => 0 [3,5,4,1,6,2] => 0 [3,5,4,2,1,6] => 0 [3,5,4,2,6,1] => 0 [3,5,4,6,1,2] => 0 [3,5,4,6,2,1] => 0 [3,5,6,1,2,4] => 0 [3,5,6,1,4,2] => 0 [3,5,6,2,1,4] => 0 [3,5,6,2,4,1] => 0 [3,5,6,4,1,2] => 0 [3,5,6,4,2,1] => 0 [3,6,1,2,4,5] => 1 [3,6,1,2,5,4] => 1 [3,6,1,4,2,5] => 1 [3,6,1,4,5,2] => 1 [3,6,1,5,2,4] => 2 [3,6,1,5,4,2] => 2 [3,6,2,1,4,5] => 1 [3,6,2,1,5,4] => 1 [3,6,2,4,1,5] => 1 [3,6,2,4,5,1] => 1 [3,6,2,5,1,4] => 1 [3,6,2,5,4,1] => 1 [3,6,4,1,2,5] => 1 [3,6,4,1,5,2] => 1 [3,6,4,2,1,5] => 1 [3,6,4,2,5,1] => 1 [3,6,4,5,1,2] => 1 [3,6,4,5,2,1] => 1 [3,6,5,1,2,4] => 1 [3,6,5,1,4,2] => 1 [3,6,5,2,1,4] => 1 [3,6,5,2,4,1] => 1 [3,6,5,4,1,2] => 1 [3,6,5,4,2,1] => 1 [4,1,2,3,5,6] => 0 [4,1,2,3,6,5] => 0 [4,1,2,5,3,6] => 0 [4,1,2,5,6,3] => 0 [4,1,2,6,3,5] => 1 [4,1,2,6,5,3] => 1 [4,1,3,2,5,6] => 0 [4,1,3,2,6,5] => 0 [4,1,3,5,2,6] => 0 [4,1,3,5,6,2] => 0 [4,1,3,6,2,5] => 0 [4,1,3,6,5,2] => 0 [4,1,5,2,3,6] => 1 [4,1,5,2,6,3] => 1 [4,1,5,3,2,6] => 1 [4,1,5,3,6,2] => 1 [4,1,5,6,2,3] => 1 [4,1,5,6,3,2] => 1 [4,1,6,2,3,5] => 3 [4,1,6,2,5,3] => 3 [4,1,6,3,2,5] => 3 [4,1,6,3,5,2] => 3 [4,1,6,5,2,3] => 3 [4,1,6,5,3,2] => 3 [4,2,1,3,5,6] => 0 [4,2,1,3,6,5] => 0 [4,2,1,5,3,6] => 0 [4,2,1,5,6,3] => 0 [4,2,1,6,3,5] => 1 [4,2,1,6,5,3] => 1 [4,2,3,1,5,6] => 0 [4,2,3,1,6,5] => 0 [4,2,3,5,1,6] => 0 [4,2,3,5,6,1] => 0 [4,2,3,6,1,5] => 0 [4,2,3,6,5,1] => 0 [4,2,5,1,3,6] => 0 [4,2,5,1,6,3] => 0 [4,2,5,3,1,6] => 0 [4,2,5,3,6,1] => 0 [4,2,5,6,1,3] => 0 [4,2,5,6,3,1] => 0 [4,2,6,1,3,5] => 1 [4,2,6,1,5,3] => 1 [4,2,6,3,1,5] => 1 [4,2,6,3,5,1] => 1 [4,2,6,5,1,3] => 1 [4,2,6,5,3,1] => 1 [4,3,1,2,5,6] => 0 [4,3,1,2,6,5] => 0 [4,3,1,5,2,6] => 0 [4,3,1,5,6,2] => 0 [4,3,1,6,2,5] => 1 [4,3,1,6,5,2] => 1 [4,3,2,1,5,6] => 0 [4,3,2,1,6,5] => 0 [4,3,2,5,1,6] => 0 [4,3,2,5,6,1] => 0 [4,3,2,6,1,5] => 0 [4,3,2,6,5,1] => 0 [4,3,5,1,2,6] => 0 [4,3,5,1,6,2] => 0 [4,3,5,2,1,6] => 0 [4,3,5,2,6,1] => 0 [4,3,5,6,1,2] => 0 [4,3,5,6,2,1] => 0 [4,3,6,1,2,5] => 0 [4,3,6,1,5,2] => 0 [4,3,6,2,1,5] => 0 [4,3,6,2,5,1] => 0 [4,3,6,5,1,2] => 0 [4,3,6,5,2,1] => 0 [4,5,1,2,3,6] => 0 [4,5,1,2,6,3] => 0 [4,5,1,3,2,6] => 0 [4,5,1,3,6,2] => 0 [4,5,1,6,2,3] => 1 [4,5,1,6,3,2] => 1 [4,5,2,1,3,6] => 0 [4,5,2,1,6,3] => 0 [4,5,2,3,1,6] => 0 [4,5,2,3,6,1] => 0 [4,5,2,6,1,3] => 0 [4,5,2,6,3,1] => 0 [4,5,3,1,2,6] => 0 [4,5,3,1,6,2] => 0 [4,5,3,2,1,6] => 0 [4,5,3,2,6,1] => 0 [4,5,3,6,1,2] => 0 [4,5,3,6,2,1] => 0 [4,5,6,1,2,3] => 0 [4,5,6,1,3,2] => 0 [4,5,6,2,1,3] => 0 [4,5,6,2,3,1] => 0 [4,5,6,3,1,2] => 0 [4,5,6,3,2,1] => 0 [4,6,1,2,3,5] => 0 [4,6,1,2,5,3] => 0 [4,6,1,3,2,5] => 0 [4,6,1,3,5,2] => 0 [4,6,1,5,2,3] => 1 [4,6,1,5,3,2] => 1 [4,6,2,1,3,5] => 0 [4,6,2,1,5,3] => 0 [4,6,2,3,1,5] => 0 [4,6,2,3,5,1] => 0 [4,6,2,5,1,3] => 0 [4,6,2,5,3,1] => 0 [4,6,3,1,2,5] => 0 [4,6,3,1,5,2] => 0 [4,6,3,2,1,5] => 0 [4,6,3,2,5,1] => 0 [4,6,3,5,1,2] => 0 [4,6,3,5,2,1] => 0 [4,6,5,1,2,3] => 0 [4,6,5,1,3,2] => 0 [4,6,5,2,1,3] => 0 [4,6,5,2,3,1] => 0 [4,6,5,3,1,2] => 0 [4,6,5,3,2,1] => 0 [5,1,2,3,4,6] => 0 [5,1,2,3,6,4] => 0 [5,1,2,4,3,6] => 0 [5,1,2,4,6,3] => 0 [5,1,2,6,3,4] => 1 [5,1,2,6,4,3] => 1 [5,1,3,2,4,6] => 0 [5,1,3,2,6,4] => 0 [5,1,3,4,2,6] => 0 [5,1,3,4,6,2] => 0 [5,1,3,6,2,4] => 0 [5,1,3,6,4,2] => 0 [5,1,4,2,3,6] => 1 [5,1,4,2,6,3] => 1 [5,1,4,3,2,6] => 1 [5,1,4,3,6,2] => 1 [5,1,4,6,2,3] => 1 [5,1,4,6,3,2] => 1 [5,1,6,2,3,4] => 3 [5,1,6,2,4,3] => 3 [5,1,6,3,2,4] => 3 [5,1,6,3,4,2] => 3 [5,1,6,4,2,3] => 3 [5,1,6,4,3,2] => 3 [5,2,1,3,4,6] => 0 [5,2,1,3,6,4] => 0 [5,2,1,4,3,6] => 0 [5,2,1,4,6,3] => 0 [5,2,1,6,3,4] => 1 [5,2,1,6,4,3] => 1 [5,2,3,1,4,6] => 0 [5,2,3,1,6,4] => 0 [5,2,3,4,1,6] => 0 [5,2,3,4,6,1] => 0 [5,2,3,6,1,4] => 0 [5,2,3,6,4,1] => 0 [5,2,4,1,3,6] => 0 [5,2,4,1,6,3] => 0 [5,2,4,3,1,6] => 0 [5,2,4,3,6,1] => 0 [5,2,4,6,1,3] => 0 [5,2,4,6,3,1] => 0 [5,2,6,1,3,4] => 1 [5,2,6,1,4,3] => 1 [5,2,6,3,1,4] => 1 [5,2,6,3,4,1] => 1 [5,2,6,4,1,3] => 1 [5,2,6,4,3,1] => 1 [5,3,1,2,4,6] => 0 [5,3,1,2,6,4] => 0 [5,3,1,4,2,6] => 0 [5,3,1,4,6,2] => 0 [5,3,1,6,2,4] => 1 [5,3,1,6,4,2] => 1 [5,3,2,1,4,6] => 0 [5,3,2,1,6,4] => 0 [5,3,2,4,1,6] => 0 [5,3,2,4,6,1] => 0 [5,3,2,6,1,4] => 0 [5,3,2,6,4,1] => 0 [5,3,4,1,2,6] => 0 [5,3,4,1,6,2] => 0 [5,3,4,2,1,6] => 0 [5,3,4,2,6,1] => 0 [5,3,4,6,1,2] => 0 [5,3,4,6,2,1] => 0 [5,3,6,1,2,4] => 0 [5,3,6,1,4,2] => 0 [5,3,6,2,1,4] => 0 [5,3,6,2,4,1] => 0 [5,3,6,4,1,2] => 0 [5,3,6,4,2,1] => 0 [5,4,1,2,3,6] => 0 [5,4,1,2,6,3] => 0 [5,4,1,3,2,6] => 0 [5,4,1,3,6,2] => 0 [5,4,1,6,2,3] => 1 [5,4,1,6,3,2] => 1 [5,4,2,1,3,6] => 0 [5,4,2,1,6,3] => 0 [5,4,2,3,1,6] => 0 [5,4,2,3,6,1] => 0 [5,4,2,6,1,3] => 0 [5,4,2,6,3,1] => 0 [5,4,3,1,2,6] => 0 [5,4,3,1,6,2] => 0 [5,4,3,2,1,6] => 0 [5,4,3,2,6,1] => 0 [5,4,3,6,1,2] => 0 [5,4,3,6,2,1] => 0 [5,4,6,1,2,3] => 0 [5,4,6,1,3,2] => 0 [5,4,6,2,1,3] => 0 [5,4,6,2,3,1] => 0 [5,4,6,3,1,2] => 0 [5,4,6,3,2,1] => 0 [5,6,1,2,3,4] => 0 [5,6,1,2,4,3] => 0 [5,6,1,3,2,4] => 0 [5,6,1,3,4,2] => 0 [5,6,1,4,2,3] => 1 [5,6,1,4,3,2] => 1 [5,6,2,1,3,4] => 0 [5,6,2,1,4,3] => 0 [5,6,2,3,1,4] => 0 [5,6,2,3,4,1] => 0 [5,6,2,4,1,3] => 0 [5,6,2,4,3,1] => 0 [5,6,3,1,2,4] => 0 [5,6,3,1,4,2] => 0 [5,6,3,2,1,4] => 0 [5,6,3,2,4,1] => 0 [5,6,3,4,1,2] => 0 [5,6,3,4,2,1] => 0 [5,6,4,1,2,3] => 0 [5,6,4,1,3,2] => 0 [5,6,4,2,1,3] => 0 [5,6,4,2,3,1] => 0 [5,6,4,3,1,2] => 0 [5,6,4,3,2,1] => 0 [6,1,2,3,4,5] => 0 [6,1,2,3,5,4] => 0 [6,1,2,4,3,5] => 0 [6,1,2,4,5,3] => 0 [6,1,2,5,3,4] => 1 [6,1,2,5,4,3] => 1 [6,1,3,2,4,5] => 0 [6,1,3,2,5,4] => 0 [6,1,3,4,2,5] => 0 [6,1,3,4,5,2] => 0 [6,1,3,5,2,4] => 0 [6,1,3,5,4,2] => 0 [6,1,4,2,3,5] => 1 [6,1,4,2,5,3] => 1 [6,1,4,3,2,5] => 1 [6,1,4,3,5,2] => 1 [6,1,4,5,2,3] => 1 [6,1,4,5,3,2] => 1 [6,1,5,2,3,4] => 3 [6,1,5,2,4,3] => 3 [6,1,5,3,2,4] => 3 [6,1,5,3,4,2] => 3 [6,1,5,4,2,3] => 3 [6,1,5,4,3,2] => 3 [6,2,1,3,4,5] => 0 [6,2,1,3,5,4] => 0 [6,2,1,4,3,5] => 0 [6,2,1,4,5,3] => 0 [6,2,1,5,3,4] => 1 [6,2,1,5,4,3] => 1 [6,2,3,1,4,5] => 0 [6,2,3,1,5,4] => 0 [6,2,3,4,1,5] => 0 [6,2,3,4,5,1] => 0 [6,2,3,5,1,4] => 0 [6,2,3,5,4,1] => 0 [6,2,4,1,3,5] => 0 [6,2,4,1,5,3] => 0 [6,2,4,3,1,5] => 0 [6,2,4,3,5,1] => 0 [6,2,4,5,1,3] => 0 [6,2,4,5,3,1] => 0 [6,2,5,1,3,4] => 1 [6,2,5,1,4,3] => 1 [6,2,5,3,1,4] => 1 [6,2,5,3,4,1] => 1 [6,2,5,4,1,3] => 1 [6,2,5,4,3,1] => 1 [6,3,1,2,4,5] => 0 [6,3,1,2,5,4] => 0 [6,3,1,4,2,5] => 0 [6,3,1,4,5,2] => 0 [6,3,1,5,2,4] => 1 [6,3,1,5,4,2] => 1 [6,3,2,1,4,5] => 0 [6,3,2,1,5,4] => 0 [6,3,2,4,1,5] => 0 [6,3,2,4,5,1] => 0 [6,3,2,5,1,4] => 0 [6,3,2,5,4,1] => 0 [6,3,4,1,2,5] => 0 [6,3,4,1,5,2] => 0 [6,3,4,2,1,5] => 0 [6,3,4,2,5,1] => 0 [6,3,4,5,1,2] => 0 [6,3,4,5,2,1] => 0 [6,3,5,1,2,4] => 0 [6,3,5,1,4,2] => 0 [6,3,5,2,1,4] => 0 [6,3,5,2,4,1] => 0 [6,3,5,4,1,2] => 0 [6,3,5,4,2,1] => 0 [6,4,1,2,3,5] => 0 [6,4,1,2,5,3] => 0 [6,4,1,3,2,5] => 0 [6,4,1,3,5,2] => 0 [6,4,1,5,2,3] => 1 [6,4,1,5,3,2] => 1 [6,4,2,1,3,5] => 0 [6,4,2,1,5,3] => 0 [6,4,2,3,1,5] => 0 [6,4,2,3,5,1] => 0 [6,4,2,5,1,3] => 0 [6,4,2,5,3,1] => 0 [6,4,3,1,2,5] => 0 [6,4,3,1,5,2] => 0 [6,4,3,2,1,5] => 0 [6,4,3,2,5,1] => 0 [6,4,3,5,1,2] => 0 [6,4,3,5,2,1] => 0 [6,4,5,1,2,3] => 0 [6,4,5,1,3,2] => 0 [6,4,5,2,1,3] => 0 [6,4,5,2,3,1] => 0 [6,4,5,3,1,2] => 0 [6,4,5,3,2,1] => 0 [6,5,1,2,3,4] => 0 [6,5,1,2,4,3] => 0 [6,5,1,3,2,4] => 0 [6,5,1,3,4,2] => 0 [6,5,1,4,2,3] => 1 [6,5,1,4,3,2] => 1 [6,5,2,1,3,4] => 0 [6,5,2,1,4,3] => 0 [6,5,2,3,1,4] => 0 [6,5,2,3,4,1] => 0 [6,5,2,4,1,3] => 0 [6,5,2,4,3,1] => 0 [6,5,3,1,2,4] => 0 [6,5,3,1,4,2] => 0 [6,5,3,2,1,4] => 0 [6,5,3,2,4,1] => 0 [6,5,3,4,1,2] => 0 [6,5,3,4,2,1] => 0 [6,5,4,1,2,3] => 0 [6,5,4,1,3,2] => 0 [6,5,4,2,1,3] => 0 [6,5,4,2,3,1] => 0 [6,5,4,3,1,2] => 0 [6,5,4,3,2,1] => 0 [1,2,3,4,5,6,7] => 0 [1,2,3,4,5,7,6] => 0 [1,2,3,4,6,5,7] => 0 [1,2,3,4,6,7,5] => 0 [1,2,3,4,7,5,6] => 1 [1,2,3,4,7,6,5] => 1 [1,2,3,5,4,6,7] => 0 [1,2,3,5,4,7,6] => 0 [1,2,3,5,6,4,7] => 0 [1,2,3,5,6,7,4] => 0 [1,2,3,5,7,4,6] => 0 [1,2,3,5,7,6,4] => 0 [1,2,3,6,4,5,7] => 1 [1,2,3,6,4,7,5] => 1 [1,2,3,6,5,4,7] => 1 [1,2,3,6,5,7,4] => 1 [1,2,3,6,7,4,5] => 1 [1,2,3,6,7,5,4] => 1 [1,2,3,7,4,5,6] => 3 [1,2,3,7,4,6,5] => 3 [1,2,3,7,5,4,6] => 3 [1,2,3,7,5,6,4] => 3 [1,2,3,7,6,4,5] => 3 [1,2,3,7,6,5,4] => 3 [1,2,4,3,5,6,7] => 0 [1,2,4,3,5,7,6] => 0 [1,2,4,3,6,5,7] => 0 [1,2,4,3,6,7,5] => 0 [1,2,4,3,7,5,6] => 1 [1,2,4,3,7,6,5] => 1 [1,2,4,5,3,6,7] => 0 [1,2,4,5,3,7,6] => 0 [1,2,4,5,6,3,7] => 0 [1,2,4,5,6,7,3] => 0 [1,2,4,5,7,3,6] => 0 [1,2,4,5,7,6,3] => 0 [1,2,4,6,3,5,7] => 0 [1,2,4,6,3,7,5] => 0 [1,2,4,6,5,3,7] => 0 [1,2,4,6,5,7,3] => 0 [1,2,4,6,7,3,5] => 0 [1,2,4,6,7,5,3] => 0 [1,2,4,7,3,5,6] => 1 [1,2,4,7,3,6,5] => 1 [1,2,4,7,5,3,6] => 1 [1,2,4,7,5,6,3] => 1 [1,2,4,7,6,3,5] => 1 [1,2,4,7,6,5,3] => 1 [1,2,5,3,4,6,7] => 1 [1,2,5,3,4,7,6] => 1 [1,2,5,3,6,4,7] => 1 [1,2,5,3,6,7,4] => 1 [1,2,5,3,7,4,6] => 2 [1,2,5,3,7,6,4] => 2 [1,2,5,4,3,6,7] => 1 [1,2,5,4,3,7,6] => 1 [1,2,5,4,6,3,7] => 1 [1,2,5,4,6,7,3] => 1 [1,2,5,4,7,3,6] => 1 [1,2,5,4,7,6,3] => 1 [1,2,5,6,3,4,7] => 1 [1,2,5,6,3,7,4] => 1 [1,2,5,6,4,3,7] => 1 [1,2,5,6,4,7,3] => 1 [1,2,5,6,7,3,4] => 1 [1,2,5,6,7,4,3] => 1 [1,2,5,7,3,4,6] => 1 [1,2,5,7,3,6,4] => 1 [1,2,5,7,4,3,6] => 1 [1,2,5,7,4,6,3] => 1 [1,2,5,7,6,3,4] => 1 [1,2,5,7,6,4,3] => 1 [1,2,6,3,4,5,7] => 3 [1,2,6,3,4,7,5] => 3 [1,2,6,3,5,4,7] => 3 [1,2,6,3,5,7,4] => 3 [1,2,6,3,7,4,5] => 4 [1,2,6,3,7,5,4] => 4 [1,2,6,4,3,5,7] => 3 [1,2,6,4,3,7,5] => 3 [1,2,6,4,5,3,7] => 3 [1,2,6,4,5,7,3] => 3 [1,2,6,4,7,3,5] => 3 [1,2,6,4,7,5,3] => 3 [1,2,6,5,3,4,7] => 3 [1,2,6,5,3,7,4] => 3 [1,2,6,5,4,3,7] => 3 [1,2,6,5,4,7,3] => 3 [1,2,6,5,7,3,4] => 3 [1,2,6,5,7,4,3] => 3 [1,2,6,7,3,4,5] => 3 [1,2,6,7,3,5,4] => 3 [1,2,6,7,4,3,5] => 3 [1,2,6,7,4,5,3] => 3 [1,2,6,7,5,3,4] => 3 [1,2,6,7,5,4,3] => 3 [1,2,7,3,4,5,6] => 6 [1,2,7,3,4,6,5] => 6 [1,2,7,3,5,4,6] => 6 [1,2,7,3,5,6,4] => 6 [1,2,7,3,6,4,5] => 7 [1,2,7,3,6,5,4] => 7 [1,2,7,4,3,5,6] => 6 [1,2,7,4,3,6,5] => 6 [1,2,7,4,5,3,6] => 6 [1,2,7,4,5,6,3] => 6 [1,2,7,4,6,3,5] => 6 [1,2,7,4,6,5,3] => 6 [1,2,7,5,3,4,6] => 6 [1,2,7,5,3,6,4] => 6 [1,2,7,5,4,3,6] => 6 [1,2,7,5,4,6,3] => 6 [1,2,7,5,6,3,4] => 6 [1,2,7,5,6,4,3] => 6 [1,2,7,6,3,4,5] => 6 [1,2,7,6,3,5,4] => 6 [1,2,7,6,4,3,5] => 6 [1,2,7,6,4,5,3] => 6 [1,2,7,6,5,3,4] => 6 [1,2,7,6,5,4,3] => 6 [1,3,2,4,5,6,7] => 0 [1,3,2,4,5,7,6] => 0 [1,3,2,4,6,5,7] => 0 [1,3,2,4,6,7,5] => 0 [1,3,2,4,7,5,6] => 1 [1,3,2,4,7,6,5] => 1 [1,3,2,5,4,6,7] => 0 [1,3,2,5,4,7,6] => 0 [1,3,2,5,6,4,7] => 0 [1,3,2,5,6,7,4] => 0 [1,3,2,5,7,4,6] => 0 [1,3,2,5,7,6,4] => 0 [1,3,2,6,4,5,7] => 1 [1,3,2,6,4,7,5] => 1 [1,3,2,6,5,4,7] => 1 [1,3,2,6,5,7,4] => 1 [1,3,2,6,7,4,5] => 1 [1,3,2,6,7,5,4] => 1 [1,3,2,7,4,5,6] => 3 [1,3,2,7,4,6,5] => 3 [1,3,2,7,5,4,6] => 3 [1,3,2,7,5,6,4] => 3 [1,3,2,7,6,4,5] => 3 [1,3,2,7,6,5,4] => 3 [1,3,4,2,5,6,7] => 0 [1,3,4,2,5,7,6] => 0 [1,3,4,2,6,5,7] => 0 [1,3,4,2,6,7,5] => 0 [1,3,4,2,7,5,6] => 1 [1,3,4,2,7,6,5] => 1 [1,3,4,5,2,6,7] => 0 [1,3,4,5,2,7,6] => 0 [1,3,4,5,6,2,7] => 0 [1,3,4,5,6,7,2] => 0 [1,3,4,5,7,2,6] => 0 [1,3,4,5,7,6,2] => 0 [1,3,4,6,2,5,7] => 0 [1,3,4,6,2,7,5] => 0 [1,3,4,6,5,2,7] => 0 [1,3,4,6,5,7,2] => 0 [1,3,4,6,7,2,5] => 0 [1,3,4,6,7,5,2] => 0 [1,3,4,7,2,5,6] => 1 [1,3,4,7,2,6,5] => 1 [1,3,4,7,5,2,6] => 1 [1,3,4,7,5,6,2] => 1 [1,3,4,7,6,2,5] => 1 [1,3,4,7,6,5,2] => 1 [1,3,5,2,4,6,7] => 0 [1,3,5,2,4,7,6] => 0 [1,3,5,2,6,4,7] => 0 [1,3,5,2,6,7,4] => 0 [1,3,5,2,7,4,6] => 1 [1,3,5,2,7,6,4] => 1 [1,3,5,4,2,6,7] => 0 [1,3,5,4,2,7,6] => 0 [1,3,5,4,6,2,7] => 0 [1,3,5,4,6,7,2] => 0 [1,3,5,4,7,2,6] => 0 [1,3,5,4,7,6,2] => 0 [1,3,5,6,2,4,7] => 0 [1,3,5,6,2,7,4] => 0 [1,3,5,6,4,2,7] => 0 [1,3,5,6,4,7,2] => 0 [1,3,5,6,7,2,4] => 0 [1,3,5,6,7,4,2] => 0 [1,3,5,7,2,4,6] => 0 [1,3,5,7,2,6,4] => 0 [1,3,5,7,4,2,6] => 0 [1,3,5,7,4,6,2] => 0 [1,3,5,7,6,2,4] => 0 [1,3,5,7,6,4,2] => 0 [1,3,6,2,4,5,7] => 1 [1,3,6,2,4,7,5] => 1 [1,3,6,2,5,4,7] => 1 [1,3,6,2,5,7,4] => 1 [1,3,6,2,7,4,5] => 2 [1,3,6,2,7,5,4] => 2 [1,3,6,4,2,5,7] => 1 [1,3,6,4,2,7,5] => 1 [1,3,6,4,5,2,7] => 1 [1,3,6,4,5,7,2] => 1 [1,3,6,4,7,2,5] => 1 [1,3,6,4,7,5,2] => 1 [1,3,6,5,2,4,7] => 1 [1,3,6,5,2,7,4] => 1 [1,3,6,5,4,2,7] => 1 [1,3,6,5,4,7,2] => 1 [1,3,6,5,7,2,4] => 1 [1,3,6,5,7,4,2] => 1 [1,3,6,7,2,4,5] => 1 [1,3,6,7,2,5,4] => 1 [1,3,6,7,4,2,5] => 1 [1,3,6,7,4,5,2] => 1 [1,3,6,7,5,2,4] => 1 [1,3,6,7,5,4,2] => 1 [1,3,7,2,4,5,6] => 3 [1,3,7,2,4,6,5] => 3 [1,3,7,2,5,4,6] => 3 [1,3,7,2,5,6,4] => 3 [1,3,7,2,6,4,5] => 4 [1,3,7,2,6,5,4] => 4 [1,3,7,4,2,5,6] => 3 [1,3,7,4,2,6,5] => 3 [1,3,7,4,5,2,6] => 3 [1,3,7,4,5,6,2] => 3 [1,3,7,4,6,2,5] => 3 [1,3,7,4,6,5,2] => 3 [1,3,7,5,2,4,6] => 3 [1,3,7,5,2,6,4] => 3 [1,3,7,5,4,2,6] => 3 [1,3,7,5,4,6,2] => 3 [1,3,7,5,6,2,4] => 3 [1,3,7,5,6,4,2] => 3 [1,3,7,6,2,4,5] => 3 [1,3,7,6,2,5,4] => 3 [1,3,7,6,4,2,5] => 3 [1,3,7,6,4,5,2] => 3 [1,3,7,6,5,2,4] => 3 [1,3,7,6,5,4,2] => 3 [1,4,2,3,5,6,7] => 1 [1,4,2,3,5,7,6] => 1 [1,4,2,3,6,5,7] => 1 [1,4,2,3,6,7,5] => 1 [1,4,2,3,7,5,6] => 2 [1,4,2,3,7,6,5] => 2 [1,4,2,5,3,6,7] => 1 [1,4,2,5,3,7,6] => 1 [1,4,2,5,6,3,7] => 1 [1,4,2,5,6,7,3] => 1 [1,4,2,5,7,3,6] => 1 [1,4,2,5,7,6,3] => 1 [1,4,2,6,3,5,7] => 2 [1,4,2,6,3,7,5] => 2 [1,4,2,6,5,3,7] => 2 [1,4,2,6,5,7,3] => 2 [1,4,2,6,7,3,5] => 2 [1,4,2,6,7,5,3] => 2 [1,4,2,7,3,5,6] => 4 [1,4,2,7,3,6,5] => 4 [1,4,2,7,5,3,6] => 4 [1,4,2,7,5,6,3] => 4 [1,4,2,7,6,3,5] => 4 [1,4,2,7,6,5,3] => 4 [1,4,3,2,5,6,7] => 1 [1,4,3,2,5,7,6] => 1 [1,4,3,2,6,5,7] => 1 [1,4,3,2,6,7,5] => 1 [1,4,3,2,7,5,6] => 2 [1,4,3,2,7,6,5] => 2 [1,4,3,5,2,6,7] => 1 [1,4,3,5,2,7,6] => 1 [1,4,3,5,6,2,7] => 1 [1,4,3,5,6,7,2] => 1 [1,4,3,5,7,2,6] => 1 [1,4,3,5,7,6,2] => 1 [1,4,3,6,2,5,7] => 1 [1,4,3,6,2,7,5] => 1 [1,4,3,6,5,2,7] => 1 [1,4,3,6,5,7,2] => 1 [1,4,3,6,7,2,5] => 1 [1,4,3,6,7,5,2] => 1 [1,4,3,7,2,5,6] => 2 [1,4,3,7,2,6,5] => 2 [1,4,3,7,5,2,6] => 2 [1,4,3,7,5,6,2] => 2 [1,4,3,7,6,2,5] => 2 [1,4,3,7,6,5,2] => 2 [1,4,5,2,3,6,7] => 1 [1,4,5,2,3,7,6] => 1 [1,4,5,2,6,3,7] => 1 [1,4,5,2,6,7,3] => 1 [1,4,5,2,7,3,6] => 2 [1,4,5,2,7,6,3] => 2 [1,4,5,3,2,6,7] => 1 [1,4,5,3,2,7,6] => 1 [1,4,5,3,6,2,7] => 1 [1,4,5,3,6,7,2] => 1 [1,4,5,3,7,2,6] => 1 [1,4,5,3,7,6,2] => 1 [1,4,5,6,2,3,7] => 1 [1,4,5,6,2,7,3] => 1 [1,4,5,6,3,2,7] => 1 [1,4,5,6,3,7,2] => 1 [1,4,5,6,7,2,3] => 1 [1,4,5,6,7,3,2] => 1 [1,4,5,7,2,3,6] => 1 [1,4,5,7,2,6,3] => 1 [1,4,5,7,3,2,6] => 1 [1,4,5,7,3,6,2] => 1 [1,4,5,7,6,2,3] => 1 [1,4,5,7,6,3,2] => 1 [1,4,6,2,3,5,7] => 1 [1,4,6,2,3,7,5] => 1 [1,4,6,2,5,3,7] => 1 [1,4,6,2,5,7,3] => 1 [1,4,6,2,7,3,5] => 2 [1,4,6,2,7,5,3] => 2 [1,4,6,3,2,5,7] => 1 [1,4,6,3,2,7,5] => 1 [1,4,6,3,5,2,7] => 1 [1,4,6,3,5,7,2] => 1 [1,4,6,3,7,2,5] => 1 [1,4,6,3,7,5,2] => 1 [1,4,6,5,2,3,7] => 1 [1,4,6,5,2,7,3] => 1 [1,4,6,5,3,2,7] => 1 [1,4,6,5,3,7,2] => 1 ----------------------------------------------------------------------------- Created: Mar 15, 2017 at 21:19 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Mar 15, 2017 at 21:44 by Martin Rubey