***************************************************************************** * 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: St000724 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The label of the leaf of the path following the smaller label in the increasing binary tree associated to a permutation. Associate an increasing binary tree to the permutation using [[Mp00061]]. Then follow the path starting at the root which always selects the child with the smaller label. This statistic is the label of the leaf in the path, see [1]. Han [2] showed that this statistic is (up to a shift) equidistributed on zigzag permutations (permutations $\pi$ such that $\pi(1) < \pi(2) > \pi(3) \cdots$) with the greater neighbor of the maximum ([[St000060]]), see also [3]. ----------------------------------------------------------------------------- References: [1] Poupard, C. Deux propriétés des arbres binaires ordonnés stricts [[MathSciNet:1005843]] [2] [[https://www.emis.de/journals/SLC/wpapers/s74vortrag/han.pdf]] [3] Foata, D., Han, G.-N. Finite difference calculus for alternating permutations [[MathSciNet:3173528]] [[arXiv:1304.2483]] ----------------------------------------------------------------------------- Code: def statistic(pi): pi = list(pi) if len(pi) == 1: return pi[0] else: a = min(pi) j = pi.index(a) b = min( x for x in pi if x != a ) if pi.index(b) < j: return statistic(pi[:j]) else: return statistic(pi[j+1:]) ----------------------------------------------------------------------------- Statistic values: [1,2] => 2 [2,1] => 2 [1,2,3] => 3 [1,3,2] => 3 [2,1,3] => 2 [2,3,1] => 3 [3,1,2] => 2 [3,2,1] => 3 [1,2,3,4] => 4 [1,2,4,3] => 4 [1,3,2,4] => 3 [1,3,4,2] => 4 [1,4,2,3] => 3 [1,4,3,2] => 4 [2,1,3,4] => 2 [2,1,4,3] => 2 [2,3,1,4] => 3 [2,3,4,1] => 4 [2,4,1,3] => 4 [2,4,3,1] => 4 [3,1,2,4] => 4 [3,1,4,2] => 4 [3,2,1,4] => 3 [3,2,4,1] => 3 [3,4,1,2] => 2 [3,4,2,1] => 4 [4,1,2,3] => 3 [4,1,3,2] => 3 [4,2,1,3] => 4 [4,2,3,1] => 3 [4,3,1,2] => 2 [4,3,2,1] => 4 [1,2,3,4,5] => 5 [1,2,3,5,4] => 5 [1,2,4,3,5] => 4 [1,2,4,5,3] => 5 [1,2,5,3,4] => 4 [1,2,5,4,3] => 5 [1,3,2,4,5] => 3 [1,3,2,5,4] => 3 [1,3,4,2,5] => 4 [1,3,4,5,2] => 5 [1,3,5,2,4] => 5 [1,3,5,4,2] => 5 [1,4,2,3,5] => 5 [1,4,2,5,3] => 5 [1,4,3,2,5] => 4 [1,4,3,5,2] => 4 [1,4,5,2,3] => 3 [1,4,5,3,2] => 5 [1,5,2,3,4] => 4 [1,5,2,4,3] => 4 [1,5,3,2,4] => 5 [1,5,3,4,2] => 4 [1,5,4,2,3] => 3 [1,5,4,3,2] => 5 [2,1,3,4,5] => 2 [2,1,3,5,4] => 2 [2,1,4,3,5] => 2 [2,1,4,5,3] => 2 [2,1,5,3,4] => 2 [2,1,5,4,3] => 2 [2,3,1,4,5] => 3 [2,3,1,5,4] => 3 [2,3,4,1,5] => 4 [2,3,4,5,1] => 5 [2,3,5,1,4] => 5 [2,3,5,4,1] => 5 [2,4,1,3,5] => 4 [2,4,1,5,3] => 4 [2,4,3,1,5] => 4 [2,4,3,5,1] => 4 [2,4,5,1,3] => 5 [2,4,5,3,1] => 5 [2,5,1,3,4] => 5 [2,5,1,4,3] => 5 [2,5,3,1,4] => 5 [2,5,3,4,1] => 4 [2,5,4,1,3] => 5 [2,5,4,3,1] => 5 [3,1,2,4,5] => 5 [3,1,2,5,4] => 5 [3,1,4,2,5] => 4 [3,1,4,5,2] => 5 [3,1,5,2,4] => 4 [3,1,5,4,2] => 5 [3,2,1,4,5] => 3 [3,2,1,5,4] => 3 [3,2,4,1,5] => 3 [3,2,4,5,1] => 3 [3,2,5,1,4] => 3 [3,2,5,4,1] => 3 [3,4,1,2,5] => 5 [3,4,1,5,2] => 5 [3,4,2,1,5] => 4 [3,4,2,5,1] => 4 [3,4,5,1,2] => 2 [3,4,5,2,1] => 5 [3,5,1,2,4] => 4 [3,5,1,4,2] => 4 [3,5,2,1,4] => 5 [3,5,2,4,1] => 5 [3,5,4,1,2] => 2 [3,5,4,2,1] => 5 [4,1,2,3,5] => 5 [4,1,2,5,3] => 5 [4,1,3,2,5] => 3 [4,1,3,5,2] => 5 [4,1,5,2,3] => 3 [4,1,5,3,2] => 5 [4,2,1,3,5] => 4 [4,2,1,5,3] => 4 [4,2,3,1,5] => 3 [4,2,3,5,1] => 5 [4,2,5,1,3] => 4 [4,2,5,3,1] => 5 [4,3,1,2,5] => 5 [4,3,1,5,2] => 5 [4,3,2,1,5] => 4 [4,3,2,5,1] => 4 [4,3,5,1,2] => 2 [4,3,5,2,1] => 4 [4,5,1,2,3] => 3 [4,5,1,3,2] => 3 [4,5,2,1,3] => 5 [4,5,2,3,1] => 3 [4,5,3,1,2] => 2 [4,5,3,2,1] => 5 [5,1,2,3,4] => 4 [5,1,2,4,3] => 4 [5,1,3,2,4] => 3 [5,1,3,4,2] => 4 [5,1,4,2,3] => 3 [5,1,4,3,2] => 4 [5,2,1,3,4] => 5 [5,2,1,4,3] => 5 [5,2,3,1,4] => 3 [5,2,3,4,1] => 4 [5,2,4,1,3] => 4 [5,2,4,3,1] => 4 [5,3,1,2,4] => 4 [5,3,1,4,2] => 4 [5,3,2,1,4] => 5 [5,3,2,4,1] => 5 [5,3,4,1,2] => 2 [5,3,4,2,1] => 4 [5,4,1,2,3] => 3 [5,4,1,3,2] => 3 [5,4,2,1,3] => 5 [5,4,2,3,1] => 3 [5,4,3,1,2] => 2 [5,4,3,2,1] => 5 [1,2,3,4,5,6] => 6 [1,2,3,4,6,5] => 6 [1,2,3,5,4,6] => 5 [1,2,3,5,6,4] => 6 [1,2,3,6,4,5] => 5 [1,2,3,6,5,4] => 6 [1,2,4,3,5,6] => 4 [1,2,4,3,6,5] => 4 [1,2,4,5,3,6] => 5 [1,2,4,5,6,3] => 6 [1,2,4,6,3,5] => 6 [1,2,4,6,5,3] => 6 [1,2,5,3,4,6] => 6 [1,2,5,3,6,4] => 6 [1,2,5,4,3,6] => 5 [1,2,5,4,6,3] => 5 [1,2,5,6,3,4] => 4 [1,2,5,6,4,3] => 6 [1,2,6,3,4,5] => 5 [1,2,6,3,5,4] => 5 [1,2,6,4,3,5] => 6 [1,2,6,4,5,3] => 5 [1,2,6,5,3,4] => 4 [1,2,6,5,4,3] => 6 [1,3,2,4,5,6] => 3 [1,3,2,4,6,5] => 3 [1,3,2,5,4,6] => 3 [1,3,2,5,6,4] => 3 [1,3,2,6,4,5] => 3 [1,3,2,6,5,4] => 3 [1,3,4,2,5,6] => 4 [1,3,4,2,6,5] => 4 [1,3,4,5,2,6] => 5 [1,3,4,5,6,2] => 6 [1,3,4,6,2,5] => 6 [1,3,4,6,5,2] => 6 [1,3,5,2,4,6] => 5 [1,3,5,2,6,4] => 5 [1,3,5,4,2,6] => 5 [1,3,5,4,6,2] => 5 [1,3,5,6,2,4] => 6 [1,3,5,6,4,2] => 6 [1,3,6,2,4,5] => 6 [1,3,6,2,5,4] => 6 [1,3,6,4,2,5] => 6 [1,3,6,4,5,2] => 5 [1,3,6,5,2,4] => 6 [1,3,6,5,4,2] => 6 [1,4,2,3,5,6] => 6 [1,4,2,3,6,5] => 6 [1,4,2,5,3,6] => 5 [1,4,2,5,6,3] => 6 [1,4,2,6,3,5] => 5 [1,4,2,6,5,3] => 6 [1,4,3,2,5,6] => 4 [1,4,3,2,6,5] => 4 [1,4,3,5,2,6] => 4 [1,4,3,5,6,2] => 4 [1,4,3,6,2,5] => 4 [1,4,3,6,5,2] => 4 [1,4,5,2,3,6] => 6 [1,4,5,2,6,3] => 6 [1,4,5,3,2,6] => 5 [1,4,5,3,6,2] => 5 [1,4,5,6,2,3] => 3 [1,4,5,6,3,2] => 6 [1,4,6,2,3,5] => 5 [1,4,6,2,5,3] => 5 [1,4,6,3,2,5] => 6 [1,4,6,3,5,2] => 6 [1,4,6,5,2,3] => 3 [1,4,6,5,3,2] => 6 [1,5,2,3,4,6] => 6 [1,5,2,3,6,4] => 6 [1,5,2,4,3,6] => 4 [1,5,2,4,6,3] => 6 [1,5,2,6,3,4] => 4 [1,5,2,6,4,3] => 6 [1,5,3,2,4,6] => 5 [1,5,3,2,6,4] => 5 [1,5,3,4,2,6] => 4 [1,5,3,4,6,2] => 6 [1,5,3,6,2,4] => 5 [1,5,3,6,4,2] => 6 [1,5,4,2,3,6] => 6 [1,5,4,2,6,3] => 6 [1,5,4,3,2,6] => 5 [1,5,4,3,6,2] => 5 [1,5,4,6,2,3] => 3 [1,5,4,6,3,2] => 5 [1,5,6,2,3,4] => 4 [1,5,6,2,4,3] => 4 [1,5,6,3,2,4] => 6 [1,5,6,3,4,2] => 4 [1,5,6,4,2,3] => 3 [1,5,6,4,3,2] => 6 [1,6,2,3,4,5] => 5 [1,6,2,3,5,4] => 5 [1,6,2,4,3,5] => 4 [1,6,2,4,5,3] => 5 [1,6,2,5,3,4] => 4 [1,6,2,5,4,3] => 5 [1,6,3,2,4,5] => 6 [1,6,3,2,5,4] => 6 [1,6,3,4,2,5] => 4 [1,6,3,4,5,2] => 5 [1,6,3,5,2,4] => 5 [1,6,3,5,4,2] => 5 [1,6,4,2,3,5] => 5 [1,6,4,2,5,3] => 5 [1,6,4,3,2,5] => 6 [1,6,4,3,5,2] => 6 [1,6,4,5,2,3] => 3 [1,6,4,5,3,2] => 5 [1,6,5,2,3,4] => 4 [1,6,5,2,4,3] => 4 [1,6,5,3,2,4] => 6 [1,6,5,3,4,2] => 4 [1,6,5,4,2,3] => 3 [1,6,5,4,3,2] => 6 [2,1,3,4,5,6] => 2 [2,1,3,4,6,5] => 2 [2,1,3,5,4,6] => 2 [2,1,3,5,6,4] => 2 [2,1,3,6,4,5] => 2 [2,1,3,6,5,4] => 2 [2,1,4,3,5,6] => 2 [2,1,4,3,6,5] => 2 [2,1,4,5,3,6] => 2 [2,1,4,5,6,3] => 2 [2,1,4,6,3,5] => 2 [2,1,4,6,5,3] => 2 [2,1,5,3,4,6] => 2 [2,1,5,3,6,4] => 2 [2,1,5,4,3,6] => 2 [2,1,5,4,6,3] => 2 [2,1,5,6,3,4] => 2 [2,1,5,6,4,3] => 2 [2,1,6,3,4,5] => 2 [2,1,6,3,5,4] => 2 [2,1,6,4,3,5] => 2 [2,1,6,4,5,3] => 2 [2,1,6,5,3,4] => 2 [2,1,6,5,4,3] => 2 [2,3,1,4,5,6] => 3 [2,3,1,4,6,5] => 3 [2,3,1,5,4,6] => 3 [2,3,1,5,6,4] => 3 [2,3,1,6,4,5] => 3 [2,3,1,6,5,4] => 3 [2,3,4,1,5,6] => 4 [2,3,4,1,6,5] => 4 [2,3,4,5,1,6] => 5 [2,3,4,5,6,1] => 6 [2,3,4,6,1,5] => 6 [2,3,4,6,5,1] => 6 [2,3,5,1,4,6] => 5 [2,3,5,1,6,4] => 5 [2,3,5,4,1,6] => 5 [2,3,5,4,6,1] => 5 [2,3,5,6,1,4] => 6 [2,3,5,6,4,1] => 6 [2,3,6,1,4,5] => 6 [2,3,6,1,5,4] => 6 [2,3,6,4,1,5] => 6 [2,3,6,4,5,1] => 5 [2,3,6,5,1,4] => 6 [2,3,6,5,4,1] => 6 [2,4,1,3,5,6] => 4 [2,4,1,3,6,5] => 4 [2,4,1,5,3,6] => 4 [2,4,1,5,6,3] => 4 [2,4,1,6,3,5] => 4 [2,4,1,6,5,3] => 4 [2,4,3,1,5,6] => 4 [2,4,3,1,6,5] => 4 [2,4,3,5,1,6] => 4 [2,4,3,5,6,1] => 4 [2,4,3,6,1,5] => 4 [2,4,3,6,5,1] => 4 [2,4,5,1,3,6] => 5 [2,4,5,1,6,3] => 5 [2,4,5,3,1,6] => 5 [2,4,5,3,6,1] => 5 [2,4,5,6,1,3] => 6 [2,4,5,6,3,1] => 6 [2,4,6,1,3,5] => 6 [2,4,6,1,5,3] => 6 [2,4,6,3,1,5] => 6 [2,4,6,3,5,1] => 6 [2,4,6,5,1,3] => 6 [2,4,6,5,3,1] => 6 [2,5,1,3,4,6] => 5 [2,5,1,3,6,4] => 5 [2,5,1,4,3,6] => 5 [2,5,1,4,6,3] => 5 [2,5,1,6,3,4] => 5 [2,5,1,6,4,3] => 5 [2,5,3,1,4,6] => 5 [2,5,3,1,6,4] => 5 [2,5,3,4,1,6] => 4 [2,5,3,4,6,1] => 6 [2,5,3,6,1,4] => 5 [2,5,3,6,4,1] => 6 [2,5,4,1,3,6] => 5 [2,5,4,1,6,3] => 5 [2,5,4,3,1,6] => 5 [2,5,4,3,6,1] => 5 [2,5,4,6,1,3] => 5 [2,5,4,6,3,1] => 5 [2,5,6,1,3,4] => 6 [2,5,6,1,4,3] => 6 [2,5,6,3,1,4] => 6 [2,5,6,3,4,1] => 4 [2,5,6,4,1,3] => 6 [2,5,6,4,3,1] => 6 [2,6,1,3,4,5] => 6 [2,6,1,3,5,4] => 6 [2,6,1,4,3,5] => 6 [2,6,1,4,5,3] => 6 [2,6,1,5,3,4] => 6 [2,6,1,5,4,3] => 6 [2,6,3,1,4,5] => 6 [2,6,3,1,5,4] => 6 [2,6,3,4,1,5] => 4 [2,6,3,4,5,1] => 5 [2,6,3,5,1,4] => 5 [2,6,3,5,4,1] => 5 [2,6,4,1,3,5] => 6 [2,6,4,1,5,3] => 6 [2,6,4,3,1,5] => 6 [2,6,4,3,5,1] => 6 [2,6,4,5,1,3] => 5 [2,6,4,5,3,1] => 5 [2,6,5,1,3,4] => 6 [2,6,5,1,4,3] => 6 [2,6,5,3,1,4] => 6 [2,6,5,3,4,1] => 4 [2,6,5,4,1,3] => 6 [2,6,5,4,3,1] => 6 [3,1,2,4,5,6] => 6 [3,1,2,4,6,5] => 6 [3,1,2,5,4,6] => 5 [3,1,2,5,6,4] => 6 [3,1,2,6,4,5] => 5 [3,1,2,6,5,4] => 6 [3,1,4,2,5,6] => 4 [3,1,4,2,6,5] => 4 [3,1,4,5,2,6] => 5 [3,1,4,5,6,2] => 6 [3,1,4,6,2,5] => 6 [3,1,4,6,5,2] => 6 [3,1,5,2,4,6] => 6 [3,1,5,2,6,4] => 6 [3,1,5,4,2,6] => 5 [3,1,5,4,6,2] => 5 [3,1,5,6,2,4] => 4 [3,1,5,6,4,2] => 6 [3,1,6,2,4,5] => 5 [3,1,6,2,5,4] => 5 [3,1,6,4,2,5] => 6 [3,1,6,4,5,2] => 5 [3,1,6,5,2,4] => 4 [3,1,6,5,4,2] => 6 [3,2,1,4,5,6] => 3 [3,2,1,4,6,5] => 3 [3,2,1,5,4,6] => 3 [3,2,1,5,6,4] => 3 [3,2,1,6,4,5] => 3 [3,2,1,6,5,4] => 3 [3,2,4,1,5,6] => 3 [3,2,4,1,6,5] => 3 [3,2,4,5,1,6] => 3 [3,2,4,5,6,1] => 3 [3,2,4,6,1,5] => 3 [3,2,4,6,5,1] => 3 [3,2,5,1,4,6] => 3 [3,2,5,1,6,4] => 3 [3,2,5,4,1,6] => 3 [3,2,5,4,6,1] => 3 [3,2,5,6,1,4] => 3 [3,2,5,6,4,1] => 3 [3,2,6,1,4,5] => 3 [3,2,6,1,5,4] => 3 [3,2,6,4,1,5] => 3 [3,2,6,4,5,1] => 3 [3,2,6,5,1,4] => 3 [3,2,6,5,4,1] => 3 [3,4,1,2,5,6] => 6 [3,4,1,2,6,5] => 6 [3,4,1,5,2,6] => 5 [3,4,1,5,6,2] => 6 [3,4,1,6,2,5] => 5 [3,4,1,6,5,2] => 6 [3,4,2,1,5,6] => 4 [3,4,2,1,6,5] => 4 [3,4,2,5,1,6] => 4 [3,4,2,5,6,1] => 4 [3,4,2,6,1,5] => 4 [3,4,2,6,5,1] => 4 [3,4,5,1,2,6] => 6 [3,4,5,1,6,2] => 6 [3,4,5,2,1,6] => 5 [3,4,5,2,6,1] => 5 [3,4,5,6,1,2] => 2 [3,4,5,6,2,1] => 6 [3,4,6,1,2,5] => 5 [3,4,6,1,5,2] => 5 [3,4,6,2,1,5] => 6 [3,4,6,2,5,1] => 6 [3,4,6,5,1,2] => 2 [3,4,6,5,2,1] => 6 [3,5,1,2,4,6] => 6 [3,5,1,2,6,4] => 6 [3,5,1,4,2,6] => 4 [3,5,1,4,6,2] => 6 [3,5,1,6,2,4] => 4 [3,5,1,6,4,2] => 6 [3,5,2,1,4,6] => 5 [3,5,2,1,6,4] => 5 [3,5,2,4,1,6] => 5 [3,5,2,4,6,1] => 5 [3,5,2,6,1,4] => 5 [3,5,2,6,4,1] => 5 [3,5,4,1,2,6] => 6 [3,5,4,1,6,2] => 6 [3,5,4,2,1,6] => 5 [3,5,4,2,6,1] => 5 [3,5,4,6,1,2] => 2 [3,5,4,6,2,1] => 5 [3,5,6,1,2,4] => 4 [3,5,6,1,4,2] => 4 [3,5,6,2,1,4] => 6 [3,5,6,2,4,1] => 6 [3,5,6,4,1,2] => 2 [3,5,6,4,2,1] => 6 [3,6,1,2,4,5] => 5 [3,6,1,2,5,4] => 5 [3,6,1,4,2,5] => 4 [3,6,1,4,5,2] => 5 [3,6,1,5,2,4] => 4 [3,6,1,5,4,2] => 5 [3,6,2,1,4,5] => 6 [3,6,2,1,5,4] => 6 [3,6,2,4,1,5] => 6 [3,6,2,4,5,1] => 6 [3,6,2,5,1,4] => 6 [3,6,2,5,4,1] => 6 [3,6,4,1,2,5] => 5 [3,6,4,1,5,2] => 5 [3,6,4,2,1,5] => 6 [3,6,4,2,5,1] => 6 [3,6,4,5,1,2] => 2 [3,6,4,5,2,1] => 5 [3,6,5,1,2,4] => 4 [3,6,5,1,4,2] => 4 [3,6,5,2,1,4] => 6 [3,6,5,2,4,1] => 6 [3,6,5,4,1,2] => 2 [3,6,5,4,2,1] => 6 [4,1,2,3,5,6] => 6 [4,1,2,3,6,5] => 6 [4,1,2,5,3,6] => 5 [4,1,2,5,6,3] => 6 [4,1,2,6,3,5] => 5 [4,1,2,6,5,3] => 6 [4,1,3,2,5,6] => 3 [4,1,3,2,6,5] => 3 [4,1,3,5,2,6] => 5 [4,1,3,5,6,2] => 6 [4,1,3,6,2,5] => 6 [4,1,3,6,5,2] => 6 [4,1,5,2,3,6] => 6 [4,1,5,2,6,3] => 6 [4,1,5,3,2,6] => 5 [4,1,5,3,6,2] => 5 [4,1,5,6,2,3] => 3 [4,1,5,6,3,2] => 6 [4,1,6,2,3,5] => 5 [4,1,6,2,5,3] => 5 [4,1,6,3,2,5] => 6 [4,1,6,3,5,2] => 5 [4,1,6,5,2,3] => 3 [4,1,6,5,3,2] => 6 [4,2,1,3,5,6] => 4 [4,2,1,3,6,5] => 4 [4,2,1,5,3,6] => 4 [4,2,1,5,6,3] => 4 [4,2,1,6,3,5] => 4 [4,2,1,6,5,3] => 4 [4,2,3,1,5,6] => 3 [4,2,3,1,6,5] => 3 [4,2,3,5,1,6] => 5 [4,2,3,5,6,1] => 6 [4,2,3,6,1,5] => 6 [4,2,3,6,5,1] => 6 [4,2,5,1,3,6] => 4 [4,2,5,1,6,3] => 4 [4,2,5,3,1,6] => 5 [4,2,5,3,6,1] => 5 [4,2,5,6,1,3] => 4 [4,2,5,6,3,1] => 6 [4,2,6,1,3,5] => 4 [4,2,6,1,5,3] => 4 [4,2,6,3,1,5] => 6 [4,2,6,3,5,1] => 5 [4,2,6,5,1,3] => 4 [4,2,6,5,3,1] => 6 [4,3,1,2,5,6] => 6 [4,3,1,2,6,5] => 6 [4,3,1,5,2,6] => 5 [4,3,1,5,6,2] => 6 [4,3,1,6,2,5] => 5 [4,3,1,6,5,2] => 6 [4,3,2,1,5,6] => 4 [4,3,2,1,6,5] => 4 [4,3,2,5,1,6] => 4 [4,3,2,5,6,1] => 4 [4,3,2,6,1,5] => 4 [4,3,2,6,5,1] => 4 [4,3,5,1,2,6] => 6 [4,3,5,1,6,2] => 6 [4,3,5,2,1,6] => 4 [4,3,5,2,6,1] => 4 [4,3,5,6,1,2] => 2 [4,3,5,6,2,1] => 4 [4,3,6,1,2,5] => 5 [4,3,6,1,5,2] => 5 [4,3,6,2,1,5] => 4 [4,3,6,2,5,1] => 4 [4,3,6,5,1,2] => 2 [4,3,6,5,2,1] => 4 [4,5,1,2,3,6] => 6 [4,5,1,2,6,3] => 6 [4,5,1,3,2,6] => 3 [4,5,1,3,6,2] => 6 [4,5,1,6,2,3] => 3 [4,5,1,6,3,2] => 6 [4,5,2,1,3,6] => 5 [4,5,2,1,6,3] => 5 [4,5,2,3,1,6] => 3 [4,5,2,3,6,1] => 6 [4,5,2,6,1,3] => 5 [4,5,2,6,3,1] => 6 [4,5,3,1,2,6] => 6 [4,5,3,1,6,2] => 6 [4,5,3,2,1,6] => 5 [4,5,3,2,6,1] => 5 [4,5,3,6,1,2] => 2 [4,5,3,6,2,1] => 5 [4,5,6,1,2,3] => 3 [4,5,6,1,3,2] => 3 [4,5,6,2,1,3] => 6 [4,5,6,2,3,1] => 3 [4,5,6,3,1,2] => 2 [4,5,6,3,2,1] => 6 [4,6,1,2,3,5] => 5 [4,6,1,2,5,3] => 5 [4,6,1,3,2,5] => 3 [4,6,1,3,5,2] => 5 [4,6,1,5,2,3] => 3 [4,6,1,5,3,2] => 5 [4,6,2,1,3,5] => 6 [4,6,2,1,5,3] => 6 [4,6,2,3,1,5] => 3 [4,6,2,3,5,1] => 5 [4,6,2,5,1,3] => 6 [4,6,2,5,3,1] => 5 [4,6,3,1,2,5] => 5 [4,6,3,1,5,2] => 5 [4,6,3,2,1,5] => 6 [4,6,3,2,5,1] => 6 [4,6,3,5,1,2] => 2 [4,6,3,5,2,1] => 6 [4,6,5,1,2,3] => 3 [4,6,5,1,3,2] => 3 [4,6,5,2,1,3] => 6 [4,6,5,2,3,1] => 3 [4,6,5,3,1,2] => 2 [4,6,5,3,2,1] => 6 [5,1,2,3,4,6] => 6 [5,1,2,3,6,4] => 6 [5,1,2,4,3,6] => 4 [5,1,2,4,6,3] => 6 [5,1,2,6,3,4] => 4 [5,1,2,6,4,3] => 6 [5,1,3,2,4,6] => 3 [5,1,3,2,6,4] => 3 [5,1,3,4,2,6] => 4 [5,1,3,4,6,2] => 6 [5,1,3,6,2,4] => 6 [5,1,3,6,4,2] => 6 [5,1,4,2,3,6] => 6 [5,1,4,2,6,3] => 6 [5,1,4,3,2,6] => 4 [5,1,4,3,6,2] => 4 [5,1,4,6,2,3] => 3 [5,1,4,6,3,2] => 6 [5,1,6,2,3,4] => 4 [5,1,6,2,4,3] => 4 [5,1,6,3,2,4] => 6 [5,1,6,3,4,2] => 4 [5,1,6,4,2,3] => 3 [5,1,6,4,3,2] => 6 [5,2,1,3,4,6] => 5 [5,2,1,3,6,4] => 5 [5,2,1,4,3,6] => 5 [5,2,1,4,6,3] => 5 [5,2,1,6,3,4] => 5 [5,2,1,6,4,3] => 5 [5,2,3,1,4,6] => 3 [5,2,3,1,6,4] => 3 [5,2,3,4,1,6] => 4 [5,2,3,4,6,1] => 6 [5,2,3,6,1,4] => 6 [5,2,3,6,4,1] => 6 [5,2,4,1,3,6] => 4 [5,2,4,1,6,3] => 4 [5,2,4,3,1,6] => 4 [5,2,4,3,6,1] => 4 [5,2,4,6,1,3] => 6 [5,2,4,6,3,1] => 6 [5,2,6,1,3,4] => 5 [5,2,6,1,4,3] => 5 [5,2,6,3,1,4] => 6 [5,2,6,3,4,1] => 4 [5,2,6,4,1,3] => 6 [5,2,6,4,3,1] => 6 [5,3,1,2,4,6] => 6 [5,3,1,2,6,4] => 6 [5,3,1,4,2,6] => 4 [5,3,1,4,6,2] => 6 [5,3,1,6,2,4] => 4 [5,3,1,6,4,2] => 6 [5,3,2,1,4,6] => 5 [5,3,2,1,6,4] => 5 [5,3,2,4,1,6] => 5 [5,3,2,4,6,1] => 5 [5,3,2,6,1,4] => 5 [5,3,2,6,4,1] => 5 [5,3,4,1,2,6] => 6 [5,3,4,1,6,2] => 6 [5,3,4,2,1,6] => 4 [5,3,4,2,6,1] => 4 [5,3,4,6,1,2] => 2 [5,3,4,6,2,1] => 6 [5,3,6,1,2,4] => 4 [5,3,6,1,4,2] => 4 [5,3,6,2,1,4] => 5 [5,3,6,2,4,1] => 5 [5,3,6,4,1,2] => 2 [5,3,6,4,2,1] => 6 [5,4,1,2,3,6] => 6 [5,4,1,2,6,3] => 6 [5,4,1,3,2,6] => 3 [5,4,1,3,6,2] => 6 [5,4,1,6,2,3] => 3 [5,4,1,6,3,2] => 6 [5,4,2,1,3,6] => 5 [5,4,2,1,6,3] => 5 [5,4,2,3,1,6] => 3 [5,4,2,3,6,1] => 6 [5,4,2,6,1,3] => 5 [5,4,2,6,3,1] => 6 [5,4,3,1,2,6] => 6 [5,4,3,1,6,2] => 6 [5,4,3,2,1,6] => 5 [5,4,3,2,6,1] => 5 [5,4,3,6,1,2] => 2 [5,4,3,6,2,1] => 5 [5,4,6,1,2,3] => 3 [5,4,6,1,3,2] => 3 [5,4,6,2,1,3] => 5 [5,4,6,2,3,1] => 3 [5,4,6,3,1,2] => 2 [5,4,6,3,2,1] => 5 [5,6,1,2,3,4] => 4 [5,6,1,2,4,3] => 4 [5,6,1,3,2,4] => 3 [5,6,1,3,4,2] => 4 [5,6,1,4,2,3] => 3 [5,6,1,4,3,2] => 4 [5,6,2,1,3,4] => 6 [5,6,2,1,4,3] => 6 [5,6,2,3,1,4] => 3 [5,6,2,3,4,1] => 4 [5,6,2,4,1,3] => 4 [5,6,2,4,3,1] => 4 [5,6,3,1,2,4] => 4 [5,6,3,1,4,2] => 4 [5,6,3,2,1,4] => 6 [5,6,3,2,4,1] => 6 [5,6,3,4,1,2] => 2 [5,6,3,4,2,1] => 4 [5,6,4,1,2,3] => 3 [5,6,4,1,3,2] => 3 [5,6,4,2,1,3] => 6 [5,6,4,2,3,1] => 3 [5,6,4,3,1,2] => 2 [5,6,4,3,2,1] => 6 [6,1,2,3,4,5] => 5 [6,1,2,3,5,4] => 5 [6,1,2,4,3,5] => 4 [6,1,2,4,5,3] => 5 [6,1,2,5,3,4] => 4 [6,1,2,5,4,3] => 5 [6,1,3,2,4,5] => 3 [6,1,3,2,5,4] => 3 [6,1,3,4,2,5] => 4 [6,1,3,4,5,2] => 5 [6,1,3,5,2,4] => 5 [6,1,3,5,4,2] => 5 [6,1,4,2,3,5] => 5 [6,1,4,2,5,3] => 5 [6,1,4,3,2,5] => 4 [6,1,4,3,5,2] => 4 [6,1,4,5,2,3] => 3 [6,1,4,5,3,2] => 5 [6,1,5,2,3,4] => 4 [6,1,5,2,4,3] => 4 [6,1,5,3,2,4] => 5 [6,1,5,3,4,2] => 4 [6,1,5,4,2,3] => 3 [6,1,5,4,3,2] => 5 [6,2,1,3,4,5] => 6 [6,2,1,3,5,4] => 6 [6,2,1,4,3,5] => 6 [6,2,1,4,5,3] => 6 [6,2,1,5,3,4] => 6 [6,2,1,5,4,3] => 6 [6,2,3,1,4,5] => 3 [6,2,3,1,5,4] => 3 [6,2,3,4,1,5] => 4 [6,2,3,4,5,1] => 5 [6,2,3,5,1,4] => 5 [6,2,3,5,4,1] => 5 [6,2,4,1,3,5] => 4 [6,2,4,1,5,3] => 4 [6,2,4,3,1,5] => 4 [6,2,4,3,5,1] => 4 [6,2,4,5,1,3] => 5 [6,2,4,5,3,1] => 5 [6,2,5,1,3,4] => 5 [6,2,5,1,4,3] => 5 [6,2,5,3,1,4] => 5 [6,2,5,3,4,1] => 4 [6,2,5,4,1,3] => 5 [6,2,5,4,3,1] => 5 [6,3,1,2,4,5] => 5 [6,3,1,2,5,4] => 5 [6,3,1,4,2,5] => 4 [6,3,1,4,5,2] => 5 [6,3,1,5,2,4] => 4 [6,3,1,5,4,2] => 5 [6,3,2,1,4,5] => 6 [6,3,2,1,5,4] => 6 [6,3,2,4,1,5] => 6 [6,3,2,4,5,1] => 6 [6,3,2,5,1,4] => 6 [6,3,2,5,4,1] => 6 [6,3,4,1,2,5] => 5 [6,3,4,1,5,2] => 5 [6,3,4,2,1,5] => 4 [6,3,4,2,5,1] => 4 [6,3,4,5,1,2] => 2 [6,3,4,5,2,1] => 5 [6,3,5,1,2,4] => 4 [6,3,5,1,4,2] => 4 [6,3,5,2,1,4] => 5 [6,3,5,2,4,1] => 5 [6,3,5,4,1,2] => 2 [6,3,5,4,2,1] => 5 [6,4,1,2,3,5] => 5 [6,4,1,2,5,3] => 5 [6,4,1,3,2,5] => 3 [6,4,1,3,5,2] => 5 [6,4,1,5,2,3] => 3 [6,4,1,5,3,2] => 5 [6,4,2,1,3,5] => 6 [6,4,2,1,5,3] => 6 [6,4,2,3,1,5] => 3 [6,4,2,3,5,1] => 5 [6,4,2,5,1,3] => 6 [6,4,2,5,3,1] => 5 [6,4,3,1,2,5] => 5 [6,4,3,1,5,2] => 5 [6,4,3,2,1,5] => 6 [6,4,3,2,5,1] => 6 [6,4,3,5,1,2] => 2 [6,4,3,5,2,1] => 6 [6,4,5,1,2,3] => 3 [6,4,5,1,3,2] => 3 [6,4,5,2,1,3] => 5 [6,4,5,2,3,1] => 3 [6,4,5,3,1,2] => 2 [6,4,5,3,2,1] => 5 [6,5,1,2,3,4] => 4 [6,5,1,2,4,3] => 4 [6,5,1,3,2,4] => 3 [6,5,1,3,4,2] => 4 [6,5,1,4,2,3] => 3 [6,5,1,4,3,2] => 4 [6,5,2,1,3,4] => 6 [6,5,2,1,4,3] => 6 [6,5,2,3,1,4] => 3 [6,5,2,3,4,1] => 4 [6,5,2,4,1,3] => 4 [6,5,2,4,3,1] => 4 [6,5,3,1,2,4] => 4 [6,5,3,1,4,2] => 4 [6,5,3,2,1,4] => 6 [6,5,3,2,4,1] => 6 [6,5,3,4,1,2] => 2 [6,5,3,4,2,1] => 4 [6,5,4,1,2,3] => 3 [6,5,4,1,3,2] => 3 [6,5,4,2,1,3] => 6 [6,5,4,2,3,1] => 3 [6,5,4,3,1,2] => 2 [6,5,4,3,2,1] => 6 [1,2,3,4,5,6,7] => 7 [1,2,3,4,5,7,6] => 7 [1,2,3,4,6,5,7] => 6 [1,2,3,4,6,7,5] => 7 [1,2,3,4,7,5,6] => 6 [1,2,3,4,7,6,5] => 7 [1,2,3,5,4,6,7] => 5 [1,2,3,5,4,7,6] => 5 [1,2,3,5,6,4,7] => 6 [1,2,3,5,6,7,4] => 7 [1,2,3,5,7,4,6] => 7 [1,2,3,5,7,6,4] => 7 [1,2,3,6,4,5,7] => 7 [1,2,3,6,4,7,5] => 7 [1,2,3,6,5,4,7] => 6 [1,2,3,6,5,7,4] => 6 [1,2,3,6,7,4,5] => 5 [1,2,3,6,7,5,4] => 7 [1,2,3,7,4,5,6] => 6 [1,2,3,7,4,6,5] => 6 [1,2,3,7,5,4,6] => 7 [1,2,3,7,5,6,4] => 6 [1,2,3,7,6,4,5] => 5 [1,2,3,7,6,5,4] => 7 [1,2,4,3,5,6,7] => 4 [1,2,4,3,5,7,6] => 4 [1,2,4,3,6,5,7] => 4 [1,2,4,3,6,7,5] => 4 [1,2,4,3,7,5,6] => 4 [1,2,4,3,7,6,5] => 4 [1,2,4,5,3,6,7] => 5 [1,2,4,5,3,7,6] => 5 [1,2,4,5,6,3,7] => 6 [1,2,4,5,6,7,3] => 7 [1,2,4,5,7,3,6] => 7 [1,2,4,5,7,6,3] => 7 [1,2,4,6,3,5,7] => 6 [1,2,4,6,3,7,5] => 6 [1,2,4,6,5,3,7] => 6 [1,2,4,6,5,7,3] => 6 [1,2,4,6,7,3,5] => 7 [1,2,4,6,7,5,3] => 7 [1,2,4,7,3,5,6] => 7 [1,2,4,7,3,6,5] => 7 [1,2,4,7,5,3,6] => 7 [1,2,4,7,5,6,3] => 6 [1,2,4,7,6,3,5] => 7 [1,2,4,7,6,5,3] => 7 [1,2,5,3,4,6,7] => 7 [1,2,5,3,4,7,6] => 7 [1,2,5,3,6,4,7] => 6 [1,2,5,3,6,7,4] => 7 [1,2,5,3,7,4,6] => 6 [1,2,5,3,7,6,4] => 7 [1,2,5,4,3,6,7] => 5 [1,2,5,4,3,7,6] => 5 [1,2,5,4,6,3,7] => 5 [1,2,5,4,6,7,3] => 5 [1,2,5,4,7,3,6] => 5 [1,2,5,4,7,6,3] => 5 [1,2,5,6,3,4,7] => 7 [1,2,5,6,3,7,4] => 7 [1,2,5,6,4,3,7] => 6 [1,2,5,6,4,7,3] => 6 [1,2,5,6,7,3,4] => 4 [1,2,5,6,7,4,3] => 7 [1,2,5,7,3,4,6] => 6 [1,2,5,7,3,6,4] => 6 [1,2,5,7,4,3,6] => 7 [1,2,5,7,4,6,3] => 7 [1,2,5,7,6,3,4] => 4 [1,2,5,7,6,4,3] => 7 [1,2,6,3,4,5,7] => 7 [1,2,6,3,4,7,5] => 7 [1,2,6,3,5,4,7] => 5 [1,2,6,3,5,7,4] => 7 [1,2,6,3,7,4,5] => 5 [1,2,6,3,7,5,4] => 7 [1,2,6,4,3,5,7] => 6 [1,2,6,4,3,7,5] => 6 [1,2,6,4,5,3,7] => 5 [1,2,6,4,5,7,3] => 7 [1,2,6,4,7,3,5] => 6 [1,2,6,4,7,5,3] => 7 [1,2,6,5,3,4,7] => 7 [1,2,6,5,3,7,4] => 7 [1,2,6,5,4,3,7] => 6 [1,2,6,5,4,7,3] => 6 [1,2,6,5,7,3,4] => 4 [1,2,6,5,7,4,3] => 6 [1,2,6,7,3,4,5] => 5 [1,2,6,7,3,5,4] => 5 [1,2,6,7,4,3,5] => 7 [1,2,6,7,4,5,3] => 5 [1,2,6,7,5,3,4] => 4 [1,2,6,7,5,4,3] => 7 [1,2,7,3,4,5,6] => 6 [1,2,7,3,4,6,5] => 6 [1,2,7,3,5,4,6] => 5 [1,2,7,3,5,6,4] => 6 [1,2,7,3,6,4,5] => 5 [1,2,7,3,6,5,4] => 6 [1,2,7,4,3,5,6] => 7 [1,2,7,4,3,6,5] => 7 [1,2,7,4,5,3,6] => 5 [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] => 7 [1,2,7,5,4,6,3] => 7 [1,2,7,5,6,3,4] => 4 [1,2,7,5,6,4,3] => 6 [1,2,7,6,3,4,5] => 5 [1,2,7,6,3,5,4] => 5 [1,2,7,6,4,3,5] => 7 [1,2,7,6,4,5,3] => 5 [1,2,7,6,5,3,4] => 4 [1,2,7,6,5,4,3] => 7 [1,3,2,4,5,6,7] => 3 [1,3,2,4,5,7,6] => 3 [1,3,2,4,6,5,7] => 3 [1,3,2,4,6,7,5] => 3 [1,3,2,4,7,5,6] => 3 [1,3,2,4,7,6,5] => 3 [1,3,2,5,4,6,7] => 3 [1,3,2,5,4,7,6] => 3 [1,3,2,5,6,4,7] => 3 [1,3,2,5,6,7,4] => 3 [1,3,2,5,7,4,6] => 3 [1,3,2,5,7,6,4] => 3 [1,3,2,6,4,5,7] => 3 [1,3,2,6,4,7,5] => 3 [1,3,2,6,5,4,7] => 3 [1,3,2,6,5,7,4] => 3 [1,3,2,6,7,4,5] => 3 [1,3,2,6,7,5,4] => 3 [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] => 4 [1,3,4,2,5,7,6] => 4 [1,3,4,2,6,5,7] => 4 [1,3,4,2,6,7,5] => 4 [1,3,4,2,7,5,6] => 4 [1,3,4,2,7,6,5] => 4 [1,3,4,5,2,6,7] => 5 [1,3,4,5,2,7,6] => 5 [1,3,4,5,6,2,7] => 6 [1,3,4,5,6,7,2] => 7 [1,3,4,5,7,2,6] => 7 [1,3,4,5,7,6,2] => 7 [1,3,4,6,2,5,7] => 6 [1,3,4,6,2,7,5] => 6 [1,3,4,6,5,2,7] => 6 [1,3,4,6,5,7,2] => 6 [1,3,4,6,7,2,5] => 7 [1,3,4,6,7,5,2] => 7 [1,3,4,7,2,5,6] => 7 [1,3,4,7,2,6,5] => 7 [1,3,4,7,5,2,6] => 7 [1,3,4,7,5,6,2] => 6 [1,3,4,7,6,2,5] => 7 [1,3,4,7,6,5,2] => 7 [1,3,5,2,4,6,7] => 5 [1,3,5,2,4,7,6] => 5 [1,3,5,2,6,4,7] => 5 [1,3,5,2,6,7,4] => 5 [1,3,5,2,7,4,6] => 5 [1,3,5,2,7,6,4] => 5 [1,3,5,4,2,6,7] => 5 [1,3,5,4,2,7,6] => 5 [1,3,5,4,6,2,7] => 5 [1,3,5,4,6,7,2] => 5 [1,3,5,4,7,2,6] => 5 [1,3,5,4,7,6,2] => 5 [1,3,5,6,2,4,7] => 6 [1,3,5,6,2,7,4] => 6 [1,3,5,6,4,2,7] => 6 [1,3,5,6,4,7,2] => 6 [1,3,5,6,7,2,4] => 7 [1,3,5,6,7,4,2] => 7 [1,3,5,7,2,4,6] => 7 [1,3,5,7,2,6,4] => 7 [1,3,5,7,4,2,6] => 7 [1,3,5,7,4,6,2] => 7 [1,3,5,7,6,2,4] => 7 [1,3,5,7,6,4,2] => 7 [1,3,6,2,4,5,7] => 6 [1,3,6,2,4,7,5] => 6 [1,3,6,2,5,4,7] => 6 [1,3,6,2,5,7,4] => 6 [1,3,6,2,7,4,5] => 6 [1,3,6,2,7,5,4] => 6 [1,3,6,4,2,5,7] => 6 [1,3,6,4,2,7,5] => 6 [1,3,6,4,5,2,7] => 5 [1,3,6,4,5,7,2] => 7 [1,3,6,4,7,2,5] => 6 [1,3,6,4,7,5,2] => 7 [1,3,6,5,2,4,7] => 6 [1,3,6,5,2,7,4] => 6 [1,3,6,5,4,2,7] => 6 [1,3,6,5,4,7,2] => 6 [1,3,6,5,7,2,4] => 6 [1,3,6,5,7,4,2] => 6 [1,3,6,7,2,4,5] => 7 [1,3,6,7,2,5,4] => 7 [1,3,6,7,4,2,5] => 7 [1,3,6,7,4,5,2] => 5 [1,3,6,7,5,2,4] => 7 [1,3,6,7,5,4,2] => 7 [1,3,7,2,4,5,6] => 7 [1,3,7,2,4,6,5] => 7 [1,3,7,2,5,4,6] => 7 [1,3,7,2,5,6,4] => 7 [1,3,7,2,6,4,5] => 7 [1,3,7,2,6,5,4] => 7 [1,3,7,4,2,5,6] => 7 [1,3,7,4,2,6,5] => 7 [1,3,7,4,5,2,6] => 5 [1,3,7,4,5,6,2] => 6 [1,3,7,4,6,2,5] => 6 [1,3,7,4,6,5,2] => 6 [1,3,7,5,2,4,6] => 7 [1,3,7,5,2,6,4] => 7 [1,3,7,5,4,2,6] => 7 [1,3,7,5,4,6,2] => 7 [1,3,7,5,6,2,4] => 6 [1,3,7,5,6,4,2] => 6 [1,3,7,6,2,4,5] => 7 [1,3,7,6,2,5,4] => 7 [1,3,7,6,4,2,5] => 7 [1,3,7,6,4,5,2] => 5 [1,3,7,6,5,2,4] => 7 [1,3,7,6,5,4,2] => 7 [1,4,2,3,5,6,7] => 7 [1,4,2,3,5,7,6] => 7 [1,4,2,3,6,5,7] => 6 [1,4,2,3,6,7,5] => 7 [1,4,2,3,7,5,6] => 6 [1,4,2,3,7,6,5] => 7 [1,4,2,5,3,6,7] => 5 [1,4,2,5,3,7,6] => 5 [1,4,2,5,6,3,7] => 6 [1,4,2,5,6,7,3] => 7 [1,4,2,5,7,3,6] => 7 [1,4,2,5,7,6,3] => 7 [1,4,2,6,3,5,7] => 7 [1,4,2,6,3,7,5] => 7 [1,4,2,6,5,3,7] => 6 [1,4,2,6,5,7,3] => 6 [1,4,2,6,7,3,5] => 5 [1,4,2,6,7,5,3] => 7 [1,4,2,7,3,5,6] => 6 [1,4,2,7,3,6,5] => 6 [1,4,2,7,5,3,6] => 7 [1,4,2,7,5,6,3] => 6 [1,4,2,7,6,3,5] => 5 [1,4,2,7,6,5,3] => 7 [1,4,3,2,5,6,7] => 4 [1,4,3,2,5,7,6] => 4 [1,4,3,2,6,5,7] => 4 [1,4,3,2,6,7,5] => 4 [1,4,3,2,7,5,6] => 4 [1,4,3,2,7,6,5] => 4 [1,4,3,5,2,6,7] => 4 [1,4,3,5,2,7,6] => 4 [1,4,3,5,6,2,7] => 4 [1,4,3,5,6,7,2] => 4 [1,4,3,5,7,2,6] => 4 [1,4,3,5,7,6,2] => 4 [1,4,3,6,2,5,7] => 4 [1,4,3,6,2,7,5] => 4 [1,4,3,6,5,2,7] => 4 [1,4,3,6,5,7,2] => 4 [1,4,3,6,7,2,5] => 4 [1,4,3,6,7,5,2] => 4 [1,4,3,7,2,5,6] => 4 [1,4,3,7,2,6,5] => 4 [1,4,3,7,5,2,6] => 4 [1,4,3,7,5,6,2] => 4 [1,4,3,7,6,2,5] => 4 [1,4,3,7,6,5,2] => 4 [1,4,5,2,3,6,7] => 7 [1,4,5,2,3,7,6] => 7 [1,4,5,2,6,3,7] => 6 [1,4,5,2,6,7,3] => 7 [1,4,5,2,7,3,6] => 6 [1,4,5,2,7,6,3] => 7 [1,4,5,3,2,6,7] => 5 [1,4,5,3,2,7,6] => 5 [1,4,5,3,6,2,7] => 5 [1,4,5,3,6,7,2] => 5 [1,4,5,3,7,2,6] => 5 [1,4,5,3,7,6,2] => 5 [1,4,5,6,2,3,7] => 7 [1,4,5,6,2,7,3] => 7 [1,4,5,6,3,2,7] => 6 [1,4,5,6,3,7,2] => 6 [1,4,5,6,7,2,3] => 3 [1,4,5,6,7,3,2] => 7 [1,4,5,7,2,3,6] => 6 [1,4,5,7,2,6,3] => 6 [1,4,5,7,3,2,6] => 7 [1,4,5,7,3,6,2] => 7 [1,4,5,7,6,2,3] => 3 [1,4,5,7,6,3,2] => 7 [1,4,6,2,3,5,7] => 7 [1,4,6,2,3,7,5] => 7 [1,4,6,2,5,3,7] => 5 [1,4,6,2,5,7,3] => 7 [1,4,6,2,7,3,5] => 5 [1,4,6,2,7,5,3] => 7 [1,4,6,3,2,5,7] => 6 [1,4,6,3,2,7,5] => 6 [1,4,6,3,5,2,7] => 6 [1,4,6,3,5,7,2] => 6 [1,4,6,3,7,2,5] => 6 [1,4,6,3,7,5,2] => 6 [1,4,6,5,2,3,7] => 7 [1,4,6,5,2,7,3] => 7 [1,4,6,5,3,2,7] => 6 [1,4,6,5,3,7,2] => 6 ----------------------------------------------------------------------------- Created: Mar 28, 2017 at 11:20 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Mar 28, 2017 at 11:47 by Christian Stump