***************************************************************************** * 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: St000375 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The number of non weak exceedences of a permutation that are mid-points of a decreasing subsequence of length $3$. Given a permutation $\pi = [\pi_1,\ldots,\pi_n]$, this statistic counts the number of position $j$ such that $\pi_j < j$ and there exist indices $i,k$ with $i < j < k$ and $\pi_i > \pi_j > \pi_k$. See also [[St000213]] and [[St000119]]. ----------------------------------------------------------------------------- References: [1] Chen, J. N., Zhou, R. D. P. On the Sign-imbalance of Permutation Tableaux [[arXiv:1602.00105]] ----------------------------------------------------------------------------- Code: def statistic(pi): patterns = pi.pattern_positions([3,2,1]) return sum( 1 for i in range(len(pi)) if pi[i] not in pi.weak_excedences() and any( i == pattern[1] for pattern in patterns ) ) ----------------------------------------------------------------------------- Statistic values: [1] => 0 [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] => 0 [1,4,3,2] => 0 [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] => 1 [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] => 1 [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] => 0 [1,2,5,4,3] => 0 [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] => 0 [1,4,2,5,3] => 0 [1,4,3,2,5] => 0 [1,4,3,5,2] => 0 [1,4,5,2,3] => 0 [1,4,5,3,2] => 1 [1,5,2,3,4] => 0 [1,5,2,4,3] => 0 [1,5,3,2,4] => 0 [1,5,3,4,2] => 0 [1,5,4,2,3] => 0 [1,5,4,3,2] => 1 [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] => 0 [2,1,5,4,3] => 0 [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] => 1 [2,5,1,3,4] => 0 [2,5,1,4,3] => 0 [2,5,3,1,4] => 0 [2,5,3,4,1] => 0 [2,5,4,1,3] => 0 [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] => 0 [3,1,5,4,2] => 0 [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] => 1 [3,4,2,5,1] => 1 [3,4,5,1,2] => 0 [3,4,5,2,1] => 1 [3,5,1,2,4] => 0 [3,5,1,4,2] => 0 [3,5,2,1,4] => 1 [3,5,2,4,1] => 1 [3,5,4,1,2] => 0 [3,5,4,2,1] => 1 [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] => 0 [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] => 1 [4,3,1,2,5] => 0 [4,3,1,5,2] => 0 [4,3,2,1,5] => 1 [4,3,2,5,1] => 1 [4,3,5,1,2] => 0 [4,3,5,2,1] => 1 [4,5,1,2,3] => 0 [4,5,1,3,2] => 1 [4,5,2,1,3] => 1 [4,5,2,3,1] => 2 [4,5,3,1,2] => 0 [4,5,3,2,1] => 1 [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] => 0 [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] => 1 [5,3,1,2,4] => 0 [5,3,1,4,2] => 0 [5,3,2,1,4] => 1 [5,3,2,4,1] => 1 [5,3,4,1,2] => 0 [5,3,4,2,1] => 1 [5,4,1,2,3] => 0 [5,4,1,3,2] => 1 [5,4,2,1,3] => 1 [5,4,2,3,1] => 2 [5,4,3,1,2] => 0 [5,4,3,2,1] => 1 [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] => 0 [1,2,3,6,5,4] => 0 [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] => 0 [1,2,5,3,6,4] => 0 [1,2,5,4,3,6] => 0 [1,2,5,4,6,3] => 0 [1,2,5,6,3,4] => 0 [1,2,5,6,4,3] => 1 [1,2,6,3,4,5] => 0 [1,2,6,3,5,4] => 0 [1,2,6,4,3,5] => 0 [1,2,6,4,5,3] => 0 [1,2,6,5,3,4] => 0 [1,2,6,5,4,3] => 1 [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] => 0 [1,3,2,6,5,4] => 0 [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] => 1 [1,3,6,2,4,5] => 0 [1,3,6,2,5,4] => 0 [1,3,6,4,2,5] => 0 [1,3,6,4,5,2] => 0 [1,3,6,5,2,4] => 0 [1,3,6,5,4,2] => 1 [1,4,2,3,5,6] => 0 [1,4,2,3,6,5] => 0 [1,4,2,5,3,6] => 0 [1,4,2,5,6,3] => 0 [1,4,2,6,3,5] => 0 [1,4,2,6,5,3] => 0 [1,4,3,2,5,6] => 0 [1,4,3,2,6,5] => 0 [1,4,3,5,2,6] => 0 [1,4,3,5,6,2] => 0 [1,4,3,6,2,5] => 0 [1,4,3,6,5,2] => 0 [1,4,5,2,3,6] => 0 [1,4,5,2,6,3] => 0 [1,4,5,3,2,6] => 1 [1,4,5,3,6,2] => 1 [1,4,5,6,2,3] => 0 [1,4,5,6,3,2] => 1 [1,4,6,2,3,5] => 0 [1,4,6,2,5,3] => 0 [1,4,6,3,2,5] => 1 [1,4,6,3,5,2] => 1 [1,4,6,5,2,3] => 0 [1,4,6,5,3,2] => 1 [1,5,2,3,4,6] => 0 [1,5,2,3,6,4] => 0 [1,5,2,4,3,6] => 0 [1,5,2,4,6,3] => 0 [1,5,2,6,3,4] => 0 [1,5,2,6,4,3] => 1 [1,5,3,2,4,6] => 0 [1,5,3,2,6,4] => 0 [1,5,3,4,2,6] => 0 [1,5,3,4,6,2] => 0 [1,5,3,6,2,4] => 0 [1,5,3,6,4,2] => 1 [1,5,4,2,3,6] => 0 [1,5,4,2,6,3] => 0 [1,5,4,3,2,6] => 1 [1,5,4,3,6,2] => 1 [1,5,4,6,2,3] => 0 [1,5,4,6,3,2] => 1 [1,5,6,2,3,4] => 0 [1,5,6,2,4,3] => 1 [1,5,6,3,2,4] => 1 [1,5,6,3,4,2] => 2 [1,5,6,4,2,3] => 0 [1,5,6,4,3,2] => 1 [1,6,2,3,4,5] => 0 [1,6,2,3,5,4] => 0 [1,6,2,4,3,5] => 0 [1,6,2,4,5,3] => 0 [1,6,2,5,3,4] => 0 [1,6,2,5,4,3] => 1 [1,6,3,2,4,5] => 0 [1,6,3,2,5,4] => 0 [1,6,3,4,2,5] => 0 [1,6,3,4,5,2] => 0 [1,6,3,5,2,4] => 0 [1,6,3,5,4,2] => 1 [1,6,4,2,3,5] => 0 [1,6,4,2,5,3] => 0 [1,6,4,3,2,5] => 1 [1,6,4,3,5,2] => 1 [1,6,4,5,2,3] => 0 [1,6,4,5,3,2] => 1 [1,6,5,2,3,4] => 0 [1,6,5,2,4,3] => 1 [1,6,5,3,2,4] => 1 [1,6,5,3,4,2] => 2 [1,6,5,4,2,3] => 0 [1,6,5,4,3,2] => 1 [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] => 0 [2,1,3,6,5,4] => 0 [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] => 0 [2,1,5,3,6,4] => 0 [2,1,5,4,3,6] => 0 [2,1,5,4,6,3] => 0 [2,1,5,6,3,4] => 0 [2,1,5,6,4,3] => 1 [2,1,6,3,4,5] => 0 [2,1,6,3,5,4] => 0 [2,1,6,4,3,5] => 0 [2,1,6,4,5,3] => 0 [2,1,6,5,3,4] => 0 [2,1,6,5,4,3] => 1 [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] => 0 [2,3,1,6,5,4] => 0 [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] => 1 [2,3,6,1,4,5] => 0 [2,3,6,1,5,4] => 0 [2,3,6,4,1,5] => 0 [2,3,6,4,5,1] => 0 [2,3,6,5,1,4] => 0 [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] => 0 [2,4,1,6,5,3] => 0 [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] => 1 [2,4,5,3,6,1] => 1 [2,4,5,6,1,3] => 0 [2,4,5,6,3,1] => 1 [2,4,6,1,3,5] => 0 [2,4,6,1,5,3] => 0 [2,4,6,3,1,5] => 1 [2,4,6,3,5,1] => 1 [2,4,6,5,1,3] => 0 [2,4,6,5,3,1] => 1 [2,5,1,3,4,6] => 0 [2,5,1,3,6,4] => 0 [2,5,1,4,3,6] => 0 [2,5,1,4,6,3] => 0 [2,5,1,6,3,4] => 0 [2,5,1,6,4,3] => 1 [2,5,3,1,4,6] => 0 [2,5,3,1,6,4] => 0 [2,5,3,4,1,6] => 0 [2,5,3,4,6,1] => 0 [2,5,3,6,1,4] => 0 [2,5,3,6,4,1] => 1 [2,5,4,1,3,6] => 0 [2,5,4,1,6,3] => 0 [2,5,4,3,1,6] => 1 [2,5,4,3,6,1] => 1 [2,5,4,6,1,3] => 0 [2,5,4,6,3,1] => 1 [2,5,6,1,3,4] => 0 [2,5,6,1,4,3] => 1 [2,5,6,3,1,4] => 1 [2,5,6,3,4,1] => 2 [2,5,6,4,1,3] => 0 [2,5,6,4,3,1] => 1 [2,6,1,3,4,5] => 0 [2,6,1,3,5,4] => 0 [2,6,1,4,3,5] => 0 [2,6,1,4,5,3] => 0 [2,6,1,5,3,4] => 0 [2,6,1,5,4,3] => 1 [2,6,3,1,4,5] => 0 [2,6,3,1,5,4] => 0 [2,6,3,4,1,5] => 0 [2,6,3,4,5,1] => 0 [2,6,3,5,1,4] => 0 [2,6,3,5,4,1] => 1 [2,6,4,1,3,5] => 0 [2,6,4,1,5,3] => 0 [2,6,4,3,1,5] => 1 [2,6,4,3,5,1] => 1 [2,6,4,5,1,3] => 0 [2,6,4,5,3,1] => 1 [2,6,5,1,3,4] => 0 [2,6,5,1,4,3] => 1 [2,6,5,3,1,4] => 1 [2,6,5,3,4,1] => 2 [2,6,5,4,1,3] => 0 [2,6,5,4,3,1] => 1 [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] => 0 [3,1,2,6,5,4] => 0 [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] => 0 [3,1,5,2,6,4] => 0 [3,1,5,4,2,6] => 0 [3,1,5,4,6,2] => 0 [3,1,5,6,2,4] => 0 [3,1,5,6,4,2] => 1 [3,1,6,2,4,5] => 0 [3,1,6,2,5,4] => 0 [3,1,6,4,2,5] => 0 [3,1,6,4,5,2] => 0 [3,1,6,5,2,4] => 0 [3,1,6,5,4,2] => 1 [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] => 0 [3,2,1,6,5,4] => 0 [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] => 1 [3,2,6,1,4,5] => 0 [3,2,6,1,5,4] => 0 [3,2,6,4,1,5] => 0 [3,2,6,4,5,1] => 0 [3,2,6,5,1,4] => 0 [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] => 0 [3,4,1,6,5,2] => 0 [3,4,2,1,5,6] => 1 [3,4,2,1,6,5] => 1 [3,4,2,5,1,6] => 1 [3,4,2,5,6,1] => 1 [3,4,2,6,1,5] => 1 [3,4,2,6,5,1] => 1 [3,4,5,1,2,6] => 0 [3,4,5,1,6,2] => 0 [3,4,5,2,1,6] => 1 [3,4,5,2,6,1] => 1 [3,4,5,6,1,2] => 0 [3,4,5,6,2,1] => 1 [3,4,6,1,2,5] => 0 [3,4,6,1,5,2] => 0 [3,4,6,2,1,5] => 1 [3,4,6,2,5,1] => 1 [3,4,6,5,1,2] => 0 [3,4,6,5,2,1] => 1 [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] => 0 [3,5,1,6,4,2] => 1 [3,5,2,1,4,6] => 1 [3,5,2,1,6,4] => 1 [3,5,2,4,1,6] => 1 [3,5,2,4,6,1] => 1 [3,5,2,6,1,4] => 1 [3,5,2,6,4,1] => 2 [3,5,4,1,2,6] => 0 [3,5,4,1,6,2] => 0 [3,5,4,2,1,6] => 1 [3,5,4,2,6,1] => 1 [3,5,4,6,1,2] => 0 [3,5,4,6,2,1] => 1 [3,5,6,1,2,4] => 0 [3,5,6,1,4,2] => 1 [3,5,6,2,1,4] => 1 [3,5,6,2,4,1] => 2 [3,5,6,4,1,2] => 0 [3,5,6,4,2,1] => 1 [3,6,1,2,4,5] => 0 [3,6,1,2,5,4] => 0 [3,6,1,4,2,5] => 0 [3,6,1,4,5,2] => 0 [3,6,1,5,2,4] => 0 [3,6,1,5,4,2] => 1 [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] => 2 [3,6,4,1,2,5] => 0 [3,6,4,1,5,2] => 0 [3,6,4,2,1,5] => 1 [3,6,4,2,5,1] => 1 [3,6,4,5,1,2] => 0 [3,6,4,5,2,1] => 1 [3,6,5,1,2,4] => 0 [3,6,5,1,4,2] => 1 [3,6,5,2,1,4] => 1 [3,6,5,2,4,1] => 2 [3,6,5,4,1,2] => 0 [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] => 0 [4,1,2,6,5,3] => 0 [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] => 0 [4,1,5,2,6,3] => 0 [4,1,5,3,2,6] => 1 [4,1,5,3,6,2] => 1 [4,1,5,6,2,3] => 0 [4,1,5,6,3,2] => 1 [4,1,6,2,3,5] => 0 [4,1,6,2,5,3] => 0 [4,1,6,3,2,5] => 1 [4,1,6,3,5,2] => 1 [4,1,6,5,2,3] => 0 [4,1,6,5,3,2] => 1 [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] => 0 [4,2,1,6,5,3] => 0 [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] => 1 [4,2,5,3,6,1] => 1 [4,2,5,6,1,3] => 0 [4,2,5,6,3,1] => 1 [4,2,6,1,3,5] => 0 [4,2,6,1,5,3] => 0 [4,2,6,3,1,5] => 1 [4,2,6,3,5,1] => 1 [4,2,6,5,1,3] => 0 [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] => 0 [4,3,1,6,5,2] => 0 [4,3,2,1,5,6] => 1 [4,3,2,1,6,5] => 1 [4,3,2,5,1,6] => 1 [4,3,2,5,6,1] => 1 [4,3,2,6,1,5] => 1 [4,3,2,6,5,1] => 1 [4,3,5,1,2,6] => 0 [4,3,5,1,6,2] => 0 [4,3,5,2,1,6] => 1 [4,3,5,2,6,1] => 1 [4,3,5,6,1,2] => 0 [4,3,5,6,2,1] => 1 [4,3,6,1,2,5] => 0 [4,3,6,1,5,2] => 0 [4,3,6,2,1,5] => 1 [4,3,6,2,5,1] => 1 [4,3,6,5,1,2] => 0 [4,3,6,5,2,1] => 1 [4,5,1,2,3,6] => 0 [4,5,1,2,6,3] => 0 [4,5,1,3,2,6] => 1 [4,5,1,3,6,2] => 1 [4,5,1,6,2,3] => 0 [4,5,1,6,3,2] => 1 [4,5,2,1,3,6] => 1 [4,5,2,1,6,3] => 1 [4,5,2,3,1,6] => 2 [4,5,2,3,6,1] => 2 [4,5,2,6,1,3] => 1 [4,5,2,6,3,1] => 2 [4,5,3,1,2,6] => 0 [4,5,3,1,6,2] => 0 [4,5,3,2,1,6] => 1 [4,5,3,2,6,1] => 1 [4,5,3,6,1,2] => 0 [4,5,3,6,2,1] => 1 [4,5,6,1,2,3] => 0 [4,5,6,1,3,2] => 1 [4,5,6,2,1,3] => 1 [4,5,6,2,3,1] => 2 [4,5,6,3,1,2] => 1 [4,5,6,3,2,1] => 2 [4,6,1,2,3,5] => 0 [4,6,1,2,5,3] => 0 [4,6,1,3,2,5] => 1 [4,6,1,3,5,2] => 1 [4,6,1,5,2,3] => 0 [4,6,1,5,3,2] => 1 [4,6,2,1,3,5] => 1 [4,6,2,1,5,3] => 1 [4,6,2,3,1,5] => 2 [4,6,2,3,5,1] => 2 [4,6,2,5,1,3] => 1 [4,6,2,5,3,1] => 2 [4,6,3,1,2,5] => 0 [4,6,3,1,5,2] => 0 [4,6,3,2,1,5] => 1 [4,6,3,2,5,1] => 1 [4,6,3,5,1,2] => 0 [4,6,3,5,2,1] => 1 [4,6,5,1,2,3] => 0 [4,6,5,1,3,2] => 1 [4,6,5,2,1,3] => 1 [4,6,5,2,3,1] => 2 [4,6,5,3,1,2] => 1 [4,6,5,3,2,1] => 2 [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] => 0 [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] => 1 [5,1,4,2,3,6] => 0 [5,1,4,2,6,3] => 0 [5,1,4,3,2,6] => 1 [5,1,4,3,6,2] => 1 [5,1,4,6,2,3] => 0 [5,1,4,6,3,2] => 1 [5,1,6,2,3,4] => 0 [5,1,6,2,4,3] => 1 [5,1,6,3,2,4] => 1 [5,1,6,3,4,2] => 2 [5,1,6,4,2,3] => 0 [5,1,6,4,3,2] => 1 [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] => 0 [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] => 1 [5,2,4,1,3,6] => 0 [5,2,4,1,6,3] => 0 [5,2,4,3,1,6] => 1 [5,2,4,3,6,1] => 1 [5,2,4,6,1,3] => 0 [5,2,4,6,3,1] => 1 [5,2,6,1,3,4] => 0 [5,2,6,1,4,3] => 1 [5,2,6,3,1,4] => 1 [5,2,6,3,4,1] => 2 [5,2,6,4,1,3] => 0 [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] => 0 [5,3,1,6,4,2] => 1 [5,3,2,1,4,6] => 1 [5,3,2,1,6,4] => 1 [5,3,2,4,1,6] => 1 [5,3,2,4,6,1] => 1 [5,3,2,6,1,4] => 1 [5,3,2,6,4,1] => 2 [5,3,4,1,2,6] => 0 [5,3,4,1,6,2] => 0 [5,3,4,2,1,6] => 1 [5,3,4,2,6,1] => 1 [5,3,4,6,1,2] => 0 [5,3,4,6,2,1] => 1 [5,3,6,1,2,4] => 0 [5,3,6,1,4,2] => 1 [5,3,6,2,1,4] => 1 [5,3,6,2,4,1] => 2 [5,3,6,4,1,2] => 0 [5,3,6,4,2,1] => 1 [5,4,1,2,3,6] => 0 [5,4,1,2,6,3] => 0 [5,4,1,3,2,6] => 1 [5,4,1,3,6,2] => 1 [5,4,1,6,2,3] => 0 [5,4,1,6,3,2] => 1 [5,4,2,1,3,6] => 1 [5,4,2,1,6,3] => 1 [5,4,2,3,1,6] => 2 [5,4,2,3,6,1] => 2 [5,4,2,6,1,3] => 1 [5,4,2,6,3,1] => 2 [5,4,3,1,2,6] => 0 [5,4,3,1,6,2] => 0 [5,4,3,2,1,6] => 1 [5,4,3,2,6,1] => 1 [5,4,3,6,1,2] => 0 [5,4,3,6,2,1] => 1 [5,4,6,1,2,3] => 0 [5,4,6,1,3,2] => 1 [5,4,6,2,1,3] => 1 [5,4,6,2,3,1] => 2 [5,4,6,3,1,2] => 1 [5,4,6,3,2,1] => 2 [5,6,1,2,3,4] => 0 [5,6,1,2,4,3] => 1 [5,6,1,3,2,4] => 1 [5,6,1,3,4,2] => 2 [5,6,1,4,2,3] => 0 [5,6,1,4,3,2] => 1 [5,6,2,1,3,4] => 1 [5,6,2,1,4,3] => 2 [5,6,2,3,1,4] => 2 [5,6,2,3,4,1] => 3 [5,6,2,4,1,3] => 1 [5,6,2,4,3,1] => 2 [5,6,3,1,2,4] => 0 [5,6,3,1,4,2] => 1 [5,6,3,2,1,4] => 1 [5,6,3,2,4,1] => 2 [5,6,3,4,1,2] => 0 [5,6,3,4,2,1] => 1 [5,6,4,1,2,3] => 0 [5,6,4,1,3,2] => 1 [5,6,4,2,1,3] => 1 [5,6,4,2,3,1] => 2 [5,6,4,3,1,2] => 1 [5,6,4,3,2,1] => 2 [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] => 0 [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] => 1 [6,1,4,2,3,5] => 0 [6,1,4,2,5,3] => 0 [6,1,4,3,2,5] => 1 [6,1,4,3,5,2] => 1 [6,1,4,5,2,3] => 0 [6,1,4,5,3,2] => 1 [6,1,5,2,3,4] => 0 [6,1,5,2,4,3] => 1 [6,1,5,3,2,4] => 1 [6,1,5,3,4,2] => 2 [6,1,5,4,2,3] => 0 [6,1,5,4,3,2] => 1 [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] => 0 [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] => 1 [6,2,4,1,3,5] => 0 [6,2,4,1,5,3] => 0 [6,2,4,3,1,5] => 1 [6,2,4,3,5,1] => 1 [6,2,4,5,1,3] => 0 [6,2,4,5,3,1] => 1 [6,2,5,1,3,4] => 0 [6,2,5,1,4,3] => 1 [6,2,5,3,1,4] => 1 [6,2,5,3,4,1] => 2 [6,2,5,4,1,3] => 0 [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] => 0 [6,3,1,5,4,2] => 1 [6,3,2,1,4,5] => 1 [6,3,2,1,5,4] => 1 [6,3,2,4,1,5] => 1 [6,3,2,4,5,1] => 1 [6,3,2,5,1,4] => 1 [6,3,2,5,4,1] => 2 [6,3,4,1,2,5] => 0 [6,3,4,1,5,2] => 0 [6,3,4,2,1,5] => 1 [6,3,4,2,5,1] => 1 [6,3,4,5,1,2] => 0 [6,3,4,5,2,1] => 1 [6,3,5,1,2,4] => 0 [6,3,5,1,4,2] => 1 [6,3,5,2,1,4] => 1 [6,3,5,2,4,1] => 2 [6,3,5,4,1,2] => 0 [6,3,5,4,2,1] => 1 [6,4,1,2,3,5] => 0 [6,4,1,2,5,3] => 0 [6,4,1,3,2,5] => 1 [6,4,1,3,5,2] => 1 [6,4,1,5,2,3] => 0 [6,4,1,5,3,2] => 1 [6,4,2,1,3,5] => 1 [6,4,2,1,5,3] => 1 [6,4,2,3,1,5] => 2 [6,4,2,3,5,1] => 2 [6,4,2,5,1,3] => 1 [6,4,2,5,3,1] => 2 [6,4,3,1,2,5] => 0 [6,4,3,1,5,2] => 0 [6,4,3,2,1,5] => 1 [6,4,3,2,5,1] => 1 [6,4,3,5,1,2] => 0 [6,4,3,5,2,1] => 1 [6,4,5,1,2,3] => 0 [6,4,5,1,3,2] => 1 [6,4,5,2,1,3] => 1 [6,4,5,2,3,1] => 2 [6,4,5,3,1,2] => 1 [6,4,5,3,2,1] => 2 [6,5,1,2,3,4] => 0 [6,5,1,2,4,3] => 1 [6,5,1,3,2,4] => 1 [6,5,1,3,4,2] => 2 [6,5,1,4,2,3] => 0 [6,5,1,4,3,2] => 1 [6,5,2,1,3,4] => 1 [6,5,2,1,4,3] => 2 [6,5,2,3,1,4] => 2 [6,5,2,3,4,1] => 3 [6,5,2,4,1,3] => 1 [6,5,2,4,3,1] => 2 [6,5,3,1,2,4] => 0 [6,5,3,1,4,2] => 1 [6,5,3,2,1,4] => 1 [6,5,3,2,4,1] => 2 [6,5,3,4,1,2] => 0 [6,5,3,4,2,1] => 1 [6,5,4,1,2,3] => 0 [6,5,4,1,3,2] => 1 [6,5,4,2,1,3] => 1 [6,5,4,2,3,1] => 2 [6,5,4,3,1,2] => 1 [6,5,4,3,2,1] => 2 [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] => 0 [1,2,3,4,7,6,5] => 0 [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] => 0 [1,2,3,6,4,7,5] => 0 [1,2,3,6,5,4,7] => 0 [1,2,3,6,5,7,4] => 0 [1,2,3,6,7,4,5] => 0 [1,2,3,6,7,5,4] => 1 [1,2,3,7,4,5,6] => 0 [1,2,3,7,4,6,5] => 0 [1,2,3,7,5,4,6] => 0 [1,2,3,7,5,6,4] => 0 [1,2,3,7,6,4,5] => 0 [1,2,3,7,6,5,4] => 1 [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] => 0 [1,2,4,3,7,6,5] => 0 [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] => 1 [1,2,4,7,3,5,6] => 0 [1,2,4,7,3,6,5] => 0 [1,2,4,7,5,3,6] => 0 [1,2,4,7,5,6,3] => 0 [1,2,4,7,6,3,5] => 0 [1,2,4,7,6,5,3] => 1 [1,2,5,3,4,6,7] => 0 [1,2,5,3,4,7,6] => 0 [1,2,5,3,6,4,7] => 0 [1,2,5,3,6,7,4] => 0 [1,2,5,3,7,4,6] => 0 [1,2,5,3,7,6,4] => 0 [1,2,5,4,3,6,7] => 0 [1,2,5,4,3,7,6] => 0 [1,2,5,4,6,3,7] => 0 [1,2,5,4,6,7,3] => 0 [1,2,5,4,7,3,6] => 0 [1,2,5,4,7,6,3] => 0 [1,2,5,6,3,4,7] => 0 [1,2,5,6,3,7,4] => 0 [1,2,5,6,4,3,7] => 1 [1,2,5,6,4,7,3] => 1 [1,2,5,6,7,3,4] => 0 [1,2,5,6,7,4,3] => 1 [1,2,5,7,3,4,6] => 0 [1,2,5,7,3,6,4] => 0 [1,2,5,7,4,3,6] => 1 [1,2,5,7,4,6,3] => 1 [1,2,5,7,6,3,4] => 0 [1,2,5,7,6,4,3] => 1 [1,2,6,3,4,5,7] => 0 [1,2,6,3,4,7,5] => 0 [1,2,6,3,5,4,7] => 0 [1,2,6,3,5,7,4] => 0 [1,2,6,3,7,4,5] => 0 [1,2,6,3,7,5,4] => 1 [1,2,6,4,3,5,7] => 0 [1,2,6,4,3,7,5] => 0 [1,2,6,4,5,3,7] => 0 [1,2,6,4,5,7,3] => 0 [1,2,6,4,7,3,5] => 0 [1,2,6,4,7,5,3] => 1 [1,2,6,5,3,4,7] => 0 [1,2,6,5,3,7,4] => 0 [1,2,6,5,4,3,7] => 1 [1,2,6,5,4,7,3] => 1 [1,2,6,5,7,3,4] => 0 [1,2,6,5,7,4,3] => 1 [1,2,6,7,3,4,5] => 0 [1,2,6,7,3,5,4] => 1 [1,2,6,7,4,3,5] => 1 [1,2,6,7,4,5,3] => 2 [1,2,6,7,5,3,4] => 0 [1,2,6,7,5,4,3] => 1 [1,2,7,3,4,5,6] => 0 [1,2,7,3,4,6,5] => 0 [1,2,7,3,5,4,6] => 0 [1,2,7,3,5,6,4] => 0 [1,2,7,3,6,4,5] => 0 [1,2,7,3,6,5,4] => 1 [1,2,7,4,3,5,6] => 0 [1,2,7,4,3,6,5] => 0 [1,2,7,4,5,3,6] => 0 [1,2,7,4,5,6,3] => 0 [1,2,7,4,6,3,5] => 0 [1,2,7,4,6,5,3] => 1 [1,2,7,5,3,4,6] => 0 [1,2,7,5,3,6,4] => 0 [1,2,7,5,4,3,6] => 1 [1,2,7,5,4,6,3] => 1 [1,2,7,5,6,3,4] => 0 [1,2,7,5,6,4,3] => 1 [1,2,7,6,3,4,5] => 0 [1,2,7,6,3,5,4] => 1 [1,2,7,6,4,3,5] => 1 [1,2,7,6,4,5,3] => 2 [1,2,7,6,5,3,4] => 0 [1,2,7,6,5,4,3] => 1 [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] => 0 [1,3,2,4,7,6,5] => 0 [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] => 0 [1,3,2,6,4,7,5] => 0 [1,3,2,6,5,4,7] => 0 [1,3,2,6,5,7,4] => 0 [1,3,2,6,7,4,5] => 0 [1,3,2,6,7,5,4] => 1 [1,3,2,7,4,5,6] => 0 [1,3,2,7,4,6,5] => 0 [1,3,2,7,5,4,6] => 0 [1,3,2,7,5,6,4] => 0 [1,3,2,7,6,4,5] => 0 [1,3,2,7,6,5,4] => 1 [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] => 0 [1,3,4,2,7,6,5] => 0 [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] => 1 [1,3,4,7,2,5,6] => 0 [1,3,4,7,2,6,5] => 0 [1,3,4,7,5,2,6] => 0 [1,3,4,7,5,6,2] => 0 [1,3,4,7,6,2,5] => 0 [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] => 0 [1,3,5,2,7,6,4] => 0 [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] => 1 [1,3,5,6,4,7,2] => 1 [1,3,5,6,7,2,4] => 0 [1,3,5,6,7,4,2] => 1 [1,3,5,7,2,4,6] => 0 [1,3,5,7,2,6,4] => 0 [1,3,5,7,4,2,6] => 1 [1,3,5,7,4,6,2] => 1 [1,3,5,7,6,2,4] => 0 [1,3,5,7,6,4,2] => 1 [1,3,6,2,4,5,7] => 0 [1,3,6,2,4,7,5] => 0 [1,3,6,2,5,4,7] => 0 [1,3,6,2,5,7,4] => 0 [1,3,6,2,7,4,5] => 0 [1,3,6,2,7,5,4] => 1 [1,3,6,4,2,5,7] => 0 [1,3,6,4,2,7,5] => 0 [1,3,6,4,5,2,7] => 0 [1,3,6,4,5,7,2] => 0 [1,3,6,4,7,2,5] => 0 [1,3,6,4,7,5,2] => 1 [1,3,6,5,2,4,7] => 0 [1,3,6,5,2,7,4] => 0 [1,3,6,5,4,2,7] => 1 [1,3,6,5,4,7,2] => 1 [1,3,6,5,7,2,4] => 0 [1,3,6,5,7,4,2] => 1 [1,3,6,7,2,4,5] => 0 [1,3,6,7,2,5,4] => 1 [1,3,6,7,4,2,5] => 1 [1,3,6,7,4,5,2] => 2 [1,3,6,7,5,2,4] => 0 [1,3,6,7,5,4,2] => 1 [1,3,7,2,4,5,6] => 0 [1,3,7,2,4,6,5] => 0 [1,3,7,2,5,4,6] => 0 [1,3,7,2,5,6,4] => 0 [1,3,7,2,6,4,5] => 0 [1,3,7,2,6,5,4] => 1 [1,3,7,4,2,5,6] => 0 [1,3,7,4,2,6,5] => 0 [1,3,7,4,5,2,6] => 0 [1,3,7,4,5,6,2] => 0 [1,3,7,4,6,2,5] => 0 [1,3,7,4,6,5,2] => 1 [1,3,7,5,2,4,6] => 0 [1,3,7,5,2,6,4] => 0 [1,3,7,5,4,2,6] => 1 [1,3,7,5,4,6,2] => 1 [1,3,7,5,6,2,4] => 0 [1,3,7,5,6,4,2] => 1 [1,3,7,6,2,4,5] => 0 [1,3,7,6,2,5,4] => 1 [1,3,7,6,4,2,5] => 1 [1,3,7,6,4,5,2] => 2 [1,3,7,6,5,2,4] => 0 [1,3,7,6,5,4,2] => 1 [1,4,2,3,5,6,7] => 0 [1,4,2,3,5,7,6] => 0 [1,4,2,3,6,5,7] => 0 [1,4,2,3,6,7,5] => 0 [1,4,2,3,7,5,6] => 0 [1,4,2,3,7,6,5] => 0 [1,4,2,5,3,6,7] => 0 [1,4,2,5,3,7,6] => 0 [1,4,2,5,6,3,7] => 0 [1,4,2,5,6,7,3] => 0 [1,4,2,5,7,3,6] => 0 [1,4,2,5,7,6,3] => 0 [1,4,2,6,3,5,7] => 0 [1,4,2,6,3,7,5] => 0 [1,4,2,6,5,3,7] => 0 [1,4,2,6,5,7,3] => 0 [1,4,2,6,7,3,5] => 0 [1,4,2,6,7,5,3] => 1 [1,4,2,7,3,5,6] => 0 [1,4,2,7,3,6,5] => 0 [1,4,2,7,5,3,6] => 0 [1,4,2,7,5,6,3] => 0 [1,4,2,7,6,3,5] => 0 [1,4,2,7,6,5,3] => 1 [1,4,3,2,5,6,7] => 0 [1,4,3,2,5,7,6] => 0 [1,4,3,2,6,5,7] => 0 [1,4,3,2,6,7,5] => 0 [1,4,3,2,7,5,6] => 0 [1,4,3,2,7,6,5] => 0 [1,4,3,5,2,6,7] => 0 [1,4,3,5,2,7,6] => 0 [1,4,3,5,6,2,7] => 0 [1,4,3,5,6,7,2] => 0 [1,4,3,5,7,2,6] => 0 [1,4,3,5,7,6,2] => 0 [1,4,3,6,2,5,7] => 0 [1,4,3,6,2,7,5] => 0 [1,4,3,6,5,2,7] => 0 [1,4,3,6,5,7,2] => 0 [1,4,3,6,7,2,5] => 0 [1,4,3,6,7,5,2] => 1 [1,4,3,7,2,5,6] => 0 [1,4,3,7,2,6,5] => 0 [1,4,3,7,5,2,6] => 0 [1,4,3,7,5,6,2] => 0 [1,4,3,7,6,2,5] => 0 [1,4,3,7,6,5,2] => 1 [1,4,5,2,3,6,7] => 0 [1,4,5,2,3,7,6] => 0 [1,4,5,2,6,3,7] => 0 [1,4,5,2,6,7,3] => 0 [1,4,5,2,7,3,6] => 0 [1,4,5,2,7,6,3] => 0 [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] => 0 [1,4,5,6,2,7,3] => 0 [1,4,5,6,3,2,7] => 1 [1,4,5,6,3,7,2] => 1 [1,4,5,6,7,2,3] => 0 [1,4,5,6,7,3,2] => 1 [1,4,5,7,2,3,6] => 0 [1,4,5,7,2,6,3] => 0 [1,4,5,7,3,2,6] => 1 [1,4,5,7,3,6,2] => 1 [1,4,5,7,6,2,3] => 0 [1,4,5,7,6,3,2] => 1 [1,4,6,2,3,5,7] => 0 [1,4,6,2,3,7,5] => 0 [1,4,6,2,5,3,7] => 0 [1,4,6,2,5,7,3] => 0 [1,4,6,2,7,3,5] => 0 [1,4,6,2,7,5,3] => 1 [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] => 2 [1,4,6,5,2,3,7] => 0 [1,4,6,5,2,7,3] => 0 [1,4,6,5,3,2,7] => 1 [1,4,6,5,3,7,2] => 1 ----------------------------------------------------------------------------- Created: Feb 02, 2016 at 20:19 by Christian Stump ----------------------------------------------------------------------------- Last Updated: May 10, 2019 at 17:29 by Henning Ulfarsson