***************************************************************************** * 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: St000461 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The rix statistic of a permutation. This statistic is defined recursively as follows: \$rix([]) = 0\$, and if \$w_i = \max\{w_1, w_2,\dots, w_k\}\$, then \$rix(w) := 0\$ if \$i = 1 < k\$, \$rix(w) := 1 + rix(w_1,w_2,\dots,w_{k−1})\$ if \$i = k\$ and \$rix(w) := rix(w_{i+1},w_{i+2},\dots,w_k)\$ if \$1 < i < k\$. ----------------------------------------------------------------------------- References: [1] Lin, Z., Zeng, J. The γ-positivity of basic Eulerian polynomials via group actions [[arXiv:1411.3397]] ----------------------------------------------------------------------------- Code: def statistic(w): """ sage: statistic([1]) 1 sage: statistic([2,9,1,7,5,3,4,6,8]) 2 """ if len(w) == 0: return 0 k = len(w) i = w.index(max(w)) + 1 if i == 1 < k: return 0 elif i == k: return 1 + statistic(w[:-1]) elif 1 < i < k: return statistic(w[i:]) raise ValueError ----------------------------------------------------------------------------- Statistic values: [1,2] => 2 [2,1] => 0 [1,2,3] => 3 [1,3,2] => 1 [2,1,3] => 1 [2,3,1] => 1 [3,1,2] => 0 [3,2,1] => 0 [1,2,3,4] => 4 [1,2,4,3] => 1 [1,3,2,4] => 2 [1,3,4,2] => 1 [1,4,2,3] => 2 [1,4,3,2] => 0 [2,1,3,4] => 2 [2,1,4,3] => 1 [2,3,1,4] => 2 [2,3,4,1] => 1 [2,4,1,3] => 2 [2,4,3,1] => 0 [3,1,2,4] => 1 [3,1,4,2] => 1 [3,2,1,4] => 1 [3,2,4,1] => 1 [3,4,1,2] => 2 [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] => 5 [1,2,3,5,4] => 1 [1,2,4,3,5] => 2 [1,2,4,5,3] => 1 [1,2,5,3,4] => 2 [1,2,5,4,3] => 0 [1,3,2,4,5] => 3 [1,3,2,5,4] => 1 [1,3,4,2,5] => 2 [1,3,4,5,2] => 1 [1,3,5,2,4] => 2 [1,3,5,4,2] => 0 [1,4,2,3,5] => 3 [1,4,2,5,3] => 1 [1,4,3,2,5] => 1 [1,4,3,5,2] => 1 [1,4,5,2,3] => 2 [1,4,5,3,2] => 0 [1,5,2,3,4] => 3 [1,5,2,4,3] => 1 [1,5,3,2,4] => 1 [1,5,3,4,2] => 1 [1,5,4,2,3] => 0 [1,5,4,3,2] => 0 [2,1,3,4,5] => 3 [2,1,3,5,4] => 1 [2,1,4,3,5] => 2 [2,1,4,5,3] => 1 [2,1,5,3,4] => 2 [2,1,5,4,3] => 0 [2,3,1,4,5] => 3 [2,3,1,5,4] => 1 [2,3,4,1,5] => 2 [2,3,4,5,1] => 1 [2,3,5,1,4] => 2 [2,3,5,4,1] => 0 [2,4,1,3,5] => 3 [2,4,1,5,3] => 1 [2,4,3,1,5] => 1 [2,4,3,5,1] => 1 [2,4,5,1,3] => 2 [2,4,5,3,1] => 0 [2,5,1,3,4] => 3 [2,5,1,4,3] => 1 [2,5,3,1,4] => 1 [2,5,3,4,1] => 1 [2,5,4,1,3] => 0 [2,5,4,3,1] => 0 [3,1,2,4,5] => 2 [3,1,2,5,4] => 1 [3,1,4,2,5] => 2 [3,1,4,5,2] => 1 [3,1,5,2,4] => 2 [3,1,5,4,2] => 0 [3,2,1,4,5] => 2 [3,2,1,5,4] => 1 [3,2,4,1,5] => 2 [3,2,4,5,1] => 1 [3,2,5,1,4] => 2 [3,2,5,4,1] => 0 [3,4,1,2,5] => 3 [3,4,1,5,2] => 1 [3,4,2,1,5] => 1 [3,4,2,5,1] => 1 [3,4,5,1,2] => 2 [3,4,5,2,1] => 0 [3,5,1,2,4] => 3 [3,5,1,4,2] => 1 [3,5,2,1,4] => 1 [3,5,2,4,1] => 1 [3,5,4,1,2] => 0 [3,5,4,2,1] => 0 [4,1,2,3,5] => 1 [4,1,2,5,3] => 1 [4,1,3,2,5] => 1 [4,1,3,5,2] => 1 [4,1,5,2,3] => 2 [4,1,5,3,2] => 0 [4,2,1,3,5] => 1 [4,2,1,5,3] => 1 [4,2,3,1,5] => 1 [4,2,3,5,1] => 1 [4,2,5,1,3] => 2 [4,2,5,3,1] => 0 [4,3,1,2,5] => 1 [4,3,1,5,2] => 1 [4,3,2,1,5] => 1 [4,3,2,5,1] => 1 [4,3,5,1,2] => 2 [4,3,5,2,1] => 0 [4,5,1,2,3] => 3 [4,5,1,3,2] => 1 [4,5,2,1,3] => 1 [4,5,2,3,1] => 1 [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] => 0 [5,1,4,3,2] => 0 [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] => 6 [1,2,3,4,6,5] => 1 [1,2,3,5,4,6] => 2 [1,2,3,5,6,4] => 1 [1,2,3,6,4,5] => 2 [1,2,3,6,5,4] => 0 [1,2,4,3,5,6] => 3 [1,2,4,3,6,5] => 1 [1,2,4,5,3,6] => 2 [1,2,4,5,6,3] => 1 [1,2,4,6,3,5] => 2 [1,2,4,6,5,3] => 0 [1,2,5,3,4,6] => 3 [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] => 2 [1,2,5,6,4,3] => 0 [1,2,6,3,4,5] => 3 [1,2,6,3,5,4] => 1 [1,2,6,4,3,5] => 1 [1,2,6,4,5,3] => 1 [1,2,6,5,3,4] => 0 [1,2,6,5,4,3] => 0 [1,3,2,4,5,6] => 4 [1,3,2,4,6,5] => 1 [1,3,2,5,4,6] => 2 [1,3,2,5,6,4] => 1 [1,3,2,6,4,5] => 2 [1,3,2,6,5,4] => 0 [1,3,4,2,5,6] => 3 [1,3,4,2,6,5] => 1 [1,3,4,5,2,6] => 2 [1,3,4,5,6,2] => 1 [1,3,4,6,2,5] => 2 [1,3,4,6,5,2] => 0 [1,3,5,2,4,6] => 3 [1,3,5,2,6,4] => 1 [1,3,5,4,2,6] => 1 [1,3,5,4,6,2] => 1 [1,3,5,6,2,4] => 2 [1,3,5,6,4,2] => 0 [1,3,6,2,4,5] => 3 [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] => 0 [1,3,6,5,4,2] => 0 [1,4,2,3,5,6] => 4 [1,4,2,3,6,5] => 1 [1,4,2,5,3,6] => 2 [1,4,2,5,6,3] => 1 [1,4,2,6,3,5] => 2 [1,4,2,6,5,3] => 0 [1,4,3,2,5,6] => 2 [1,4,3,2,6,5] => 1 [1,4,3,5,2,6] => 2 [1,4,3,5,6,2] => 1 [1,4,3,6,2,5] => 2 [1,4,3,6,5,2] => 0 [1,4,5,2,3,6] => 3 [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] => 2 [1,4,5,6,3,2] => 0 [1,4,6,2,3,5] => 3 [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] => 0 [1,4,6,5,3,2] => 0 [1,5,2,3,4,6] => 4 [1,5,2,3,6,4] => 1 [1,5,2,4,3,6] => 2 [1,5,2,4,6,3] => 1 [1,5,2,6,3,4] => 2 [1,5,2,6,4,3] => 0 [1,5,3,2,4,6] => 2 [1,5,3,2,6,4] => 1 [1,5,3,4,2,6] => 2 [1,5,3,4,6,2] => 1 [1,5,3,6,2,4] => 2 [1,5,3,6,4,2] => 0 [1,5,4,2,3,6] => 1 [1,5,4,2,6,3] => 1 [1,5,4,3,2,6] => 1 [1,5,4,3,6,2] => 1 [1,5,4,6,2,3] => 2 [1,5,4,6,3,2] => 0 [1,5,6,2,3,4] => 3 [1,5,6,2,4,3] => 1 [1,5,6,3,2,4] => 1 [1,5,6,3,4,2] => 1 [1,5,6,4,2,3] => 0 [1,5,6,4,3,2] => 0 [1,6,2,3,4,5] => 4 [1,6,2,3,5,4] => 1 [1,6,2,4,3,5] => 2 [1,6,2,4,5,3] => 1 [1,6,2,5,3,4] => 2 [1,6,2,5,4,3] => 0 [1,6,3,2,4,5] => 2 [1,6,3,2,5,4] => 1 [1,6,3,4,2,5] => 2 [1,6,3,4,5,2] => 1 [1,6,3,5,2,4] => 2 [1,6,3,5,4,2] => 0 [1,6,4,2,3,5] => 1 [1,6,4,2,5,3] => 1 [1,6,4,3,2,5] => 1 [1,6,4,3,5,2] => 1 [1,6,4,5,2,3] => 2 [1,6,4,5,3,2] => 0 [1,6,5,2,3,4] => 0 [1,6,5,2,4,3] => 0 [1,6,5,3,2,4] => 0 [1,6,5,3,4,2] => 0 [1,6,5,4,2,3] => 0 [1,6,5,4,3,2] => 0 [2,1,3,4,5,6] => 4 [2,1,3,4,6,5] => 1 [2,1,3,5,4,6] => 2 [2,1,3,5,6,4] => 1 [2,1,3,6,4,5] => 2 [2,1,3,6,5,4] => 0 [2,1,4,3,5,6] => 3 [2,1,4,3,6,5] => 1 [2,1,4,5,3,6] => 2 [2,1,4,5,6,3] => 1 [2,1,4,6,3,5] => 2 [2,1,4,6,5,3] => 0 [2,1,5,3,4,6] => 3 [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] => 2 [2,1,5,6,4,3] => 0 [2,1,6,3,4,5] => 3 [2,1,6,3,5,4] => 1 [2,1,6,4,3,5] => 1 [2,1,6,4,5,3] => 1 [2,1,6,5,3,4] => 0 [2,1,6,5,4,3] => 0 [2,3,1,4,5,6] => 4 [2,3,1,4,6,5] => 1 [2,3,1,5,4,6] => 2 [2,3,1,5,6,4] => 1 [2,3,1,6,4,5] => 2 [2,3,1,6,5,4] => 0 [2,3,4,1,5,6] => 3 [2,3,4,1,6,5] => 1 [2,3,4,5,1,6] => 2 [2,3,4,5,6,1] => 1 [2,3,4,6,1,5] => 2 [2,3,4,6,5,1] => 0 [2,3,5,1,4,6] => 3 [2,3,5,1,6,4] => 1 [2,3,5,4,1,6] => 1 [2,3,5,4,6,1] => 1 [2,3,5,6,1,4] => 2 [2,3,5,6,4,1] => 0 [2,3,6,1,4,5] => 3 [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] => 0 [2,3,6,5,4,1] => 0 [2,4,1,3,5,6] => 4 [2,4,1,3,6,5] => 1 [2,4,1,5,3,6] => 2 [2,4,1,5,6,3] => 1 [2,4,1,6,3,5] => 2 [2,4,1,6,5,3] => 0 [2,4,3,1,5,6] => 2 [2,4,3,1,6,5] => 1 [2,4,3,5,1,6] => 2 [2,4,3,5,6,1] => 1 [2,4,3,6,1,5] => 2 [2,4,3,6,5,1] => 0 [2,4,5,1,3,6] => 3 [2,4,5,1,6,3] => 1 [2,4,5,3,1,6] => 1 [2,4,5,3,6,1] => 1 [2,4,5,6,1,3] => 2 [2,4,5,6,3,1] => 0 [2,4,6,1,3,5] => 3 [2,4,6,1,5,3] => 1 [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] => 0 [2,5,1,3,4,6] => 4 [2,5,1,3,6,4] => 1 [2,5,1,4,3,6] => 2 [2,5,1,4,6,3] => 1 [2,5,1,6,3,4] => 2 [2,5,1,6,4,3] => 0 [2,5,3,1,4,6] => 2 [2,5,3,1,6,4] => 1 [2,5,3,4,1,6] => 2 [2,5,3,4,6,1] => 1 [2,5,3,6,1,4] => 2 [2,5,3,6,4,1] => 0 [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] => 2 [2,5,4,6,3,1] => 0 [2,5,6,1,3,4] => 3 [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] => 0 [2,5,6,4,3,1] => 0 [2,6,1,3,4,5] => 4 [2,6,1,3,5,4] => 1 [2,6,1,4,3,5] => 2 [2,6,1,4,5,3] => 1 [2,6,1,5,3,4] => 2 [2,6,1,5,4,3] => 0 [2,6,3,1,4,5] => 2 [2,6,3,1,5,4] => 1 [2,6,3,4,1,5] => 2 [2,6,3,4,5,1] => 1 [2,6,3,5,1,4] => 2 [2,6,3,5,4,1] => 0 [2,6,4,1,3,5] => 1 [2,6,4,1,5,3] => 1 [2,6,4,3,1,5] => 1 [2,6,4,3,5,1] => 1 [2,6,4,5,1,3] => 2 [2,6,4,5,3,1] => 0 [2,6,5,1,3,4] => 0 [2,6,5,1,4,3] => 0 [2,6,5,3,1,4] => 0 [2,6,5,3,4,1] => 0 [2,6,5,4,1,3] => 0 [2,6,5,4,3,1] => 0 [3,1,2,4,5,6] => 3 [3,1,2,4,6,5] => 1 [3,1,2,5,4,6] => 2 [3,1,2,5,6,4] => 1 [3,1,2,6,4,5] => 2 [3,1,2,6,5,4] => 0 [3,1,4,2,5,6] => 3 [3,1,4,2,6,5] => 1 [3,1,4,5,2,6] => 2 [3,1,4,5,6,2] => 1 [3,1,4,6,2,5] => 2 [3,1,4,6,5,2] => 0 [3,1,5,2,4,6] => 3 [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] => 2 [3,1,5,6,4,2] => 0 [3,1,6,2,4,5] => 3 [3,1,6,2,5,4] => 1 [3,1,6,4,2,5] => 1 [3,1,6,4,5,2] => 1 [3,1,6,5,2,4] => 0 [3,1,6,5,4,2] => 0 [3,2,1,4,5,6] => 3 [3,2,1,4,6,5] => 1 [3,2,1,5,4,6] => 2 [3,2,1,5,6,4] => 1 [3,2,1,6,4,5] => 2 [3,2,1,6,5,4] => 0 [3,2,4,1,5,6] => 3 [3,2,4,1,6,5] => 1 [3,2,4,5,1,6] => 2 [3,2,4,5,6,1] => 1 [3,2,4,6,1,5] => 2 [3,2,4,6,5,1] => 0 [3,2,5,1,4,6] => 3 [3,2,5,1,6,4] => 1 [3,2,5,4,1,6] => 1 [3,2,5,4,6,1] => 1 [3,2,5,6,1,4] => 2 [3,2,5,6,4,1] => 0 [3,2,6,1,4,5] => 3 [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] => 0 [3,2,6,5,4,1] => 0 [3,4,1,2,5,6] => 4 [3,4,1,2,6,5] => 1 [3,4,1,5,2,6] => 2 [3,4,1,5,6,2] => 1 [3,4,1,6,2,5] => 2 [3,4,1,6,5,2] => 0 [3,4,2,1,5,6] => 2 [3,4,2,1,6,5] => 1 [3,4,2,5,1,6] => 2 [3,4,2,5,6,1] => 1 [3,4,2,6,1,5] => 2 [3,4,2,6,5,1] => 0 [3,4,5,1,2,6] => 3 [3,4,5,1,6,2] => 1 [3,4,5,2,1,6] => 1 [3,4,5,2,6,1] => 1 [3,4,5,6,1,2] => 2 [3,4,5,6,2,1] => 0 [3,4,6,1,2,5] => 3 [3,4,6,1,5,2] => 1 [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] => 0 [3,5,1,2,4,6] => 4 [3,5,1,2,6,4] => 1 [3,5,1,4,2,6] => 2 [3,5,1,4,6,2] => 1 [3,5,1,6,2,4] => 2 [3,5,1,6,4,2] => 0 [3,5,2,1,4,6] => 2 [3,5,2,1,6,4] => 1 [3,5,2,4,1,6] => 2 [3,5,2,4,6,1] => 1 [3,5,2,6,1,4] => 2 [3,5,2,6,4,1] => 0 [3,5,4,1,2,6] => 1 [3,5,4,1,6,2] => 1 [3,5,4,2,1,6] => 1 [3,5,4,2,6,1] => 1 [3,5,4,6,1,2] => 2 [3,5,4,6,2,1] => 0 [3,5,6,1,2,4] => 3 [3,5,6,1,4,2] => 1 [3,5,6,2,1,4] => 1 [3,5,6,2,4,1] => 1 [3,5,6,4,1,2] => 0 [3,5,6,4,2,1] => 0 [3,6,1,2,4,5] => 4 [3,6,1,2,5,4] => 1 [3,6,1,4,2,5] => 2 [3,6,1,4,5,2] => 1 [3,6,1,5,2,4] => 2 [3,6,1,5,4,2] => 0 [3,6,2,1,4,5] => 2 [3,6,2,1,5,4] => 1 [3,6,2,4,1,5] => 2 [3,6,2,4,5,1] => 1 [3,6,2,5,1,4] => 2 [3,6,2,5,4,1] => 0 [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] => 2 [3,6,4,5,2,1] => 0 [3,6,5,1,2,4] => 0 [3,6,5,1,4,2] => 0 [3,6,5,2,1,4] => 0 [3,6,5,2,4,1] => 0 [3,6,5,4,1,2] => 0 [3,6,5,4,2,1] => 0 [4,1,2,3,5,6] => 2 [4,1,2,3,6,5] => 1 [4,1,2,5,3,6] => 2 [4,1,2,5,6,3] => 1 [4,1,2,6,3,5] => 2 [4,1,2,6,5,3] => 0 [4,1,3,2,5,6] => 2 [4,1,3,2,6,5] => 1 [4,1,3,5,2,6] => 2 [4,1,3,5,6,2] => 1 [4,1,3,6,2,5] => 2 [4,1,3,6,5,2] => 0 [4,1,5,2,3,6] => 3 [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] => 2 [4,1,5,6,3,2] => 0 [4,1,6,2,3,5] => 3 [4,1,6,2,5,3] => 1 [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] => 0 [4,2,1,3,5,6] => 2 [4,2,1,3,6,5] => 1 [4,2,1,5,3,6] => 2 [4,2,1,5,6,3] => 1 [4,2,1,6,3,5] => 2 [4,2,1,6,5,3] => 0 [4,2,3,1,5,6] => 2 [4,2,3,1,6,5] => 1 [4,2,3,5,1,6] => 2 [4,2,3,5,6,1] => 1 [4,2,3,6,1,5] => 2 [4,2,3,6,5,1] => 0 [4,2,5,1,3,6] => 3 [4,2,5,1,6,3] => 1 [4,2,5,3,1,6] => 1 [4,2,5,3,6,1] => 1 [4,2,5,6,1,3] => 2 [4,2,5,6,3,1] => 0 [4,2,6,1,3,5] => 3 [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] => 0 [4,2,6,5,3,1] => 0 [4,3,1,2,5,6] => 2 [4,3,1,2,6,5] => 1 [4,3,1,5,2,6] => 2 [4,3,1,5,6,2] => 1 [4,3,1,6,2,5] => 2 [4,3,1,6,5,2] => 0 [4,3,2,1,5,6] => 2 [4,3,2,1,6,5] => 1 [4,3,2,5,1,6] => 2 [4,3,2,5,6,1] => 1 [4,3,2,6,1,5] => 2 [4,3,2,6,5,1] => 0 [4,3,5,1,2,6] => 3 [4,3,5,1,6,2] => 1 [4,3,5,2,1,6] => 1 [4,3,5,2,6,1] => 1 [4,3,5,6,1,2] => 2 [4,3,5,6,2,1] => 0 [4,3,6,1,2,5] => 3 [4,3,6,1,5,2] => 1 [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] => 0 [4,5,1,2,3,6] => 4 [4,5,1,2,6,3] => 1 [4,5,1,3,2,6] => 2 [4,5,1,3,6,2] => 1 [4,5,1,6,2,3] => 2 [4,5,1,6,3,2] => 0 [4,5,2,1,3,6] => 2 [4,5,2,1,6,3] => 1 [4,5,2,3,1,6] => 2 [4,5,2,3,6,1] => 1 [4,5,2,6,1,3] => 2 [4,5,2,6,3,1] => 0 [4,5,3,1,2,6] => 1 [4,5,3,1,6,2] => 1 [4,5,3,2,1,6] => 1 [4,5,3,2,6,1] => 1 [4,5,3,6,1,2] => 2 [4,5,3,6,2,1] => 0 [4,5,6,1,2,3] => 3 [4,5,6,1,3,2] => 1 [4,5,6,2,1,3] => 1 [4,5,6,2,3,1] => 1 [4,5,6,3,1,2] => 0 [4,5,6,3,2,1] => 0 [4,6,1,2,3,5] => 4 [4,6,1,2,5,3] => 1 [4,6,1,3,2,5] => 2 [4,6,1,3,5,2] => 1 [4,6,1,5,2,3] => 2 [4,6,1,5,3,2] => 0 [4,6,2,1,3,5] => 2 [4,6,2,1,5,3] => 1 [4,6,2,3,1,5] => 2 [4,6,2,3,5,1] => 1 [4,6,2,5,1,3] => 2 [4,6,2,5,3,1] => 0 [4,6,3,1,2,5] => 1 [4,6,3,1,5,2] => 1 [4,6,3,2,1,5] => 1 [4,6,3,2,5,1] => 1 [4,6,3,5,1,2] => 2 [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] => 1 [5,1,2,3,6,4] => 1 [5,1,2,4,3,6] => 1 [5,1,2,4,6,3] => 1 [5,1,2,6,3,4] => 2 [5,1,2,6,4,3] => 0 [5,1,3,2,4,6] => 1 [5,1,3,2,6,4] => 1 [5,1,3,4,2,6] => 1 [5,1,3,4,6,2] => 1 [5,1,3,6,2,4] => 2 [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] => 2 [5,1,4,6,3,2] => 0 [5,1,6,2,3,4] => 3 [5,1,6,2,4,3] => 1 [5,1,6,3,2,4] => 1 [5,1,6,3,4,2] => 1 [5,1,6,4,2,3] => 0 [5,1,6,4,3,2] => 0 [5,2,1,3,4,6] => 1 [5,2,1,3,6,4] => 1 [5,2,1,4,3,6] => 1 [5,2,1,4,6,3] => 1 [5,2,1,6,3,4] => 2 [5,2,1,6,4,3] => 0 [5,2,3,1,4,6] => 1 [5,2,3,1,6,4] => 1 [5,2,3,4,1,6] => 1 [5,2,3,4,6,1] => 1 [5,2,3,6,1,4] => 2 [5,2,3,6,4,1] => 0 [5,2,4,1,3,6] => 1 [5,2,4,1,6,3] => 1 [5,2,4,3,1,6] => 1 [5,2,4,3,6,1] => 1 [5,2,4,6,1,3] => 2 [5,2,4,6,3,1] => 0 [5,2,6,1,3,4] => 3 [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] => 0 [5,2,6,4,3,1] => 0 [5,3,1,2,4,6] => 1 [5,3,1,2,6,4] => 1 [5,3,1,4,2,6] => 1 [5,3,1,4,6,2] => 1 [5,3,1,6,2,4] => 2 [5,3,1,6,4,2] => 0 [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] => 2 [5,3,2,6,4,1] => 0 [5,3,4,1,2,6] => 1 [5,3,4,1,6,2] => 1 [5,3,4,2,1,6] => 1 [5,3,4,2,6,1] => 1 [5,3,4,6,1,2] => 2 [5,3,4,6,2,1] => 0 [5,3,6,1,2,4] => 3 [5,3,6,1,4,2] => 1 [5,3,6,2,1,4] => 1 [5,3,6,2,4,1] => 1 [5,3,6,4,1,2] => 0 [5,3,6,4,2,1] => 0 [5,4,1,2,3,6] => 1 [5,4,1,2,6,3] => 1 [5,4,1,3,2,6] => 1 [5,4,1,3,6,2] => 1 [5,4,1,6,2,3] => 2 [5,4,1,6,3,2] => 0 [5,4,2,1,3,6] => 1 [5,4,2,1,6,3] => 1 [5,4,2,3,1,6] => 1 [5,4,2,3,6,1] => 1 [5,4,2,6,1,3] => 2 [5,4,2,6,3,1] => 0 [5,4,3,1,2,6] => 1 [5,4,3,1,6,2] => 1 [5,4,3,2,1,6] => 1 [5,4,3,2,6,1] => 1 [5,4,3,6,1,2] => 2 [5,4,3,6,2,1] => 0 [5,4,6,1,2,3] => 3 [5,4,6,1,3,2] => 1 [5,4,6,2,1,3] => 1 [5,4,6,2,3,1] => 1 [5,4,6,3,1,2] => 0 [5,4,6,3,2,1] => 0 [5,6,1,2,3,4] => 4 [5,6,1,2,4,3] => 1 [5,6,1,3,2,4] => 2 [5,6,1,3,4,2] => 1 [5,6,1,4,2,3] => 2 [5,6,1,4,3,2] => 0 [5,6,2,1,3,4] => 2 [5,6,2,1,4,3] => 1 [5,6,2,3,1,4] => 2 [5,6,2,3,4,1] => 1 [5,6,2,4,1,3] => 2 [5,6,2,4,3,1] => 0 [5,6,3,1,2,4] => 1 [5,6,3,1,4,2] => 1 [5,6,3,2,1,4] => 1 [5,6,3,2,4,1] => 1 [5,6,3,4,1,2] => 2 [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] => 0 [6,1,2,5,4,3] => 0 [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] => 0 [6,1,4,2,5,3] => 0 [6,1,4,3,2,5] => 0 [6,1,4,3,5,2] => 0 [6,1,4,5,2,3] => 0 [6,1,4,5,3,2] => 0 [6,1,5,2,3,4] => 0 [6,1,5,2,4,3] => 0 [6,1,5,3,2,4] => 0 [6,1,5,3,4,2] => 0 [6,1,5,4,2,3] => 0 [6,1,5,4,3,2] => 0 [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] => 0 [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] => 0 [6,2,5,1,4,3] => 0 [6,2,5,3,1,4] => 0 [6,2,5,3,4,1] => 0 [6,2,5,4,1,3] => 0 [6,2,5,4,3,1] => 0 [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] => 0 [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] => 0 [6,4,1,5,3,2] => 0 [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] => 0 [6,5,1,4,3,2] => 0 [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] => 7 [1,2,3,4,5,7,6] => 1 [1,2,3,4,6,5,7] => 2 [1,2,3,4,6,7,5] => 1 [1,2,3,4,7,5,6] => 2 [1,2,3,4,7,6,5] => 0 [1,2,3,5,4,6,7] => 3 [1,2,3,5,4,7,6] => 1 [1,2,3,5,6,4,7] => 2 [1,2,3,5,6,7,4] => 1 [1,2,3,5,7,4,6] => 2 [1,2,3,5,7,6,4] => 0 [1,2,3,6,4,5,7] => 3 [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] => 2 [1,2,3,6,7,5,4] => 0 [1,2,3,7,4,5,6] => 3 [1,2,3,7,4,6,5] => 1 [1,2,3,7,5,4,6] => 1 [1,2,3,7,5,6,4] => 1 [1,2,3,7,6,4,5] => 0 [1,2,3,7,6,5,4] => 0 [1,2,4,3,5,6,7] => 4 [1,2,4,3,5,7,6] => 1 [1,2,4,3,6,5,7] => 2 [1,2,4,3,6,7,5] => 1 [1,2,4,3,7,5,6] => 2 [1,2,4,3,7,6,5] => 0 [1,2,4,5,3,6,7] => 3 [1,2,4,5,3,7,6] => 1 [1,2,4,5,6,3,7] => 2 [1,2,4,5,6,7,3] => 1 [1,2,4,5,7,3,6] => 2 [1,2,4,5,7,6,3] => 0 [1,2,4,6,3,5,7] => 3 [1,2,4,6,3,7,5] => 1 [1,2,4,6,5,3,7] => 1 [1,2,4,6,5,7,3] => 1 [1,2,4,6,7,3,5] => 2 [1,2,4,6,7,5,3] => 0 [1,2,4,7,3,5,6] => 3 [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] => 0 [1,2,4,7,6,5,3] => 0 [1,2,5,3,4,6,7] => 4 [1,2,5,3,4,7,6] => 1 [1,2,5,3,6,4,7] => 2 [1,2,5,3,6,7,4] => 1 [1,2,5,3,7,4,6] => 2 [1,2,5,3,7,6,4] => 0 [1,2,5,4,3,6,7] => 2 [1,2,5,4,3,7,6] => 1 [1,2,5,4,6,3,7] => 2 [1,2,5,4,6,7,3] => 1 [1,2,5,4,7,3,6] => 2 [1,2,5,4,7,6,3] => 0 [1,2,5,6,3,4,7] => 3 [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] => 2 [1,2,5,6,7,4,3] => 0 [1,2,5,7,3,4,6] => 3 [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] => 0 [1,2,5,7,6,4,3] => 0 [1,2,6,3,4,5,7] => 4 [1,2,6,3,4,7,5] => 1 [1,2,6,3,5,4,7] => 2 [1,2,6,3,5,7,4] => 1 [1,2,6,3,7,4,5] => 2 [1,2,6,3,7,5,4] => 0 [1,2,6,4,3,5,7] => 2 [1,2,6,4,3,7,5] => 1 [1,2,6,4,5,3,7] => 2 [1,2,6,4,5,7,3] => 1 [1,2,6,4,7,3,5] => 2 [1,2,6,4,7,5,3] => 0 [1,2,6,5,3,4,7] => 1 [1,2,6,5,3,7,4] => 1 [1,2,6,5,4,3,7] => 1 [1,2,6,5,4,7,3] => 1 [1,2,6,5,7,3,4] => 2 [1,2,6,5,7,4,3] => 0 [1,2,6,7,3,4,5] => 3 [1,2,6,7,3,5,4] => 1 [1,2,6,7,4,3,5] => 1 [1,2,6,7,4,5,3] => 1 [1,2,6,7,5,3,4] => 0 [1,2,6,7,5,4,3] => 0 [1,2,7,3,4,5,6] => 4 [1,2,7,3,4,6,5] => 1 [1,2,7,3,5,4,6] => 2 [1,2,7,3,5,6,4] => 1 [1,2,7,3,6,4,5] => 2 [1,2,7,3,6,5,4] => 0 [1,2,7,4,3,5,6] => 2 [1,2,7,4,3,6,5] => 1 [1,2,7,4,5,3,6] => 2 [1,2,7,4,5,6,3] => 1 [1,2,7,4,6,3,5] => 2 [1,2,7,4,6,5,3] => 0 [1,2,7,5,3,4,6] => 1 [1,2,7,5,3,6,4] => 1 [1,2,7,5,4,3,6] => 1 [1,2,7,5,4,6,3] => 1 [1,2,7,5,6,3,4] => 2 [1,2,7,5,6,4,3] => 0 [1,2,7,6,3,4,5] => 0 [1,2,7,6,3,5,4] => 0 [1,2,7,6,4,3,5] => 0 [1,2,7,6,4,5,3] => 0 [1,2,7,6,5,3,4] => 0 [1,2,7,6,5,4,3] => 0 [1,3,2,4,5,6,7] => 5 [1,3,2,4,5,7,6] => 1 [1,3,2,4,6,5,7] => 2 [1,3,2,4,6,7,5] => 1 [1,3,2,4,7,5,6] => 2 [1,3,2,4,7,6,5] => 0 [1,3,2,5,4,6,7] => 3 [1,3,2,5,4,7,6] => 1 [1,3,2,5,6,4,7] => 2 [1,3,2,5,6,7,4] => 1 [1,3,2,5,7,4,6] => 2 [1,3,2,5,7,6,4] => 0 [1,3,2,6,4,5,7] => 3 [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] => 2 [1,3,2,6,7,5,4] => 0 [1,3,2,7,4,5,6] => 3 [1,3,2,7,4,6,5] => 1 [1,3,2,7,5,4,6] => 1 [1,3,2,7,5,6,4] => 1 [1,3,2,7,6,4,5] => 0 [1,3,2,7,6,5,4] => 0 [1,3,4,2,5,6,7] => 4 [1,3,4,2,5,7,6] => 1 [1,3,4,2,6,5,7] => 2 [1,3,4,2,6,7,5] => 1 [1,3,4,2,7,5,6] => 2 [1,3,4,2,7,6,5] => 0 [1,3,4,5,2,6,7] => 3 [1,3,4,5,2,7,6] => 1 [1,3,4,5,6,2,7] => 2 [1,3,4,5,6,7,2] => 1 [1,3,4,5,7,2,6] => 2 [1,3,4,5,7,6,2] => 0 [1,3,4,6,2,5,7] => 3 [1,3,4,6,2,7,5] => 1 [1,3,4,6,5,2,7] => 1 [1,3,4,6,5,7,2] => 1 [1,3,4,6,7,2,5] => 2 [1,3,4,6,7,5,2] => 0 [1,3,4,7,2,5,6] => 3 [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] => 0 [1,3,4,7,6,5,2] => 0 [1,3,5,2,4,6,7] => 4 [1,3,5,2,4,7,6] => 1 [1,3,5,2,6,4,7] => 2 [1,3,5,2,6,7,4] => 1 [1,3,5,2,7,4,6] => 2 [1,3,5,2,7,6,4] => 0 [1,3,5,4,2,6,7] => 2 [1,3,5,4,2,7,6] => 1 [1,3,5,4,6,2,7] => 2 [1,3,5,4,6,7,2] => 1 [1,3,5,4,7,2,6] => 2 [1,3,5,4,7,6,2] => 0 [1,3,5,6,2,4,7] => 3 [1,3,5,6,2,7,4] => 1 [1,3,5,6,4,2,7] => 1 [1,3,5,6,4,7,2] => 1 [1,3,5,6,7,2,4] => 2 [1,3,5,6,7,4,2] => 0 [1,3,5,7,2,4,6] => 3 [1,3,5,7,2,6,4] => 1 [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] => 0 [1,3,6,2,4,5,7] => 4 [1,3,6,2,4,7,5] => 1 [1,3,6,2,5,4,7] => 2 [1,3,6,2,5,7,4] => 1 [1,3,6,2,7,4,5] => 2 [1,3,6,2,7,5,4] => 0 [1,3,6,4,2,5,7] => 2 [1,3,6,4,2,7,5] => 1 [1,3,6,4,5,2,7] => 2 [1,3,6,4,5,7,2] => 1 [1,3,6,4,7,2,5] => 2 [1,3,6,4,7,5,2] => 0 [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] => 2 [1,3,6,5,7,4,2] => 0 [1,3,6,7,2,4,5] => 3 [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] => 0 [1,3,6,7,5,4,2] => 0 [1,3,7,2,4,5,6] => 4 [1,3,7,2,4,6,5] => 1 [1,3,7,2,5,4,6] => 2 [1,3,7,2,5,6,4] => 1 [1,3,7,2,6,4,5] => 2 [1,3,7,2,6,5,4] => 0 [1,3,7,4,2,5,6] => 2 [1,3,7,4,2,6,5] => 1 [1,3,7,4,5,2,6] => 2 [1,3,7,4,5,6,2] => 1 [1,3,7,4,6,2,5] => 2 [1,3,7,4,6,5,2] => 0 [1,3,7,5,2,4,6] => 1 [1,3,7,5,2,6,4] => 1 [1,3,7,5,4,2,6] => 1 [1,3,7,5,4,6,2] => 1 [1,3,7,5,6,2,4] => 2 [1,3,7,5,6,4,2] => 0 [1,3,7,6,2,4,5] => 0 [1,3,7,6,2,5,4] => 0 [1,3,7,6,4,2,5] => 0 [1,3,7,6,4,5,2] => 0 [1,3,7,6,5,2,4] => 0 [1,3,7,6,5,4,2] => 0 [1,4,2,3,5,6,7] => 5 [1,4,2,3,5,7,6] => 1 [1,4,2,3,6,5,7] => 2 [1,4,2,3,6,7,5] => 1 [1,4,2,3,7,5,6] => 2 [1,4,2,3,7,6,5] => 0 [1,4,2,5,3,6,7] => 3 [1,4,2,5,3,7,6] => 1 [1,4,2,5,6,3,7] => 2 [1,4,2,5,6,7,3] => 1 [1,4,2,5,7,3,6] => 2 [1,4,2,5,7,6,3] => 0 [1,4,2,6,3,5,7] => 3 [1,4,2,6,3,7,5] => 1 [1,4,2,6,5,3,7] => 1 [1,4,2,6,5,7,3] => 1 [1,4,2,6,7,3,5] => 2 [1,4,2,6,7,5,3] => 0 [1,4,2,7,3,5,6] => 3 [1,4,2,7,3,6,5] => 1 [1,4,2,7,5,3,6] => 1 [1,4,2,7,5,6,3] => 1 [1,4,2,7,6,3,5] => 0 [1,4,2,7,6,5,3] => 0 [1,4,3,2,5,6,7] => 3 [1,4,3,2,5,7,6] => 1 [1,4,3,2,6,5,7] => 2 [1,4,3,2,6,7,5] => 1 [1,4,3,2,7,5,6] => 2 [1,4,3,2,7,6,5] => 0 [1,4,3,5,2,6,7] => 3 [1,4,3,5,2,7,6] => 1 [1,4,3,5,6,2,7] => 2 [1,4,3,5,6,7,2] => 1 [1,4,3,5,7,2,6] => 2 [1,4,3,5,7,6,2] => 0 [1,4,3,6,2,5,7] => 3 [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] => 2 [1,4,3,6,7,5,2] => 0 [1,4,3,7,2,5,6] => 3 [1,4,3,7,2,6,5] => 1 [1,4,3,7,5,2,6] => 1 [1,4,3,7,5,6,2] => 1 [1,4,3,7,6,2,5] => 0 [1,4,3,7,6,5,2] => 0 [1,4,5,2,3,6,7] => 4 [1,4,5,2,3,7,6] => 1 [1,4,5,2,6,3,7] => 2 [1,4,5,2,6,7,3] => 1 [1,4,5,2,7,3,6] => 2 [1,4,5,2,7,6,3] => 0 [1,4,5,3,2,6,7] => 2 [1,4,5,3,2,7,6] => 1 [1,4,5,3,6,2,7] => 2 [1,4,5,3,6,7,2] => 1 [1,4,5,3,7,2,6] => 2 [1,4,5,3,7,6,2] => 0 [1,4,5,6,2,3,7] => 3 [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] => 2 [1,4,5,6,7,3,2] => 0 [1,4,5,7,2,3,6] => 3 [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] => 0 [1,4,5,7,6,3,2] => 0 [1,4,6,2,3,5,7] => 4 [1,4,6,2,3,7,5] => 1 [1,4,6,2,5,3,7] => 2 [1,4,6,2,5,7,3] => 1 [1,4,6,2,7,3,5] => 2 [1,4,6,2,7,5,3] => 0 [1,4,6,3,2,5,7] => 2 [1,4,6,3,2,7,5] => 1 [1,4,6,3,5,2,7] => 2 [1,4,6,3,5,7,2] => 1 [1,4,6,3,7,2,5] => 2 [1,4,6,3,7,5,2] => 0 [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: Apr 07, 2016 at 11:45 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Apr 07, 2016 at 11:45 by Martin Rubey