***************************************************************************** * 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: St000314 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The number of left-to-right-maxima of a permutation. An integer $\sigma_i$ in the one-line notation of a permutation $\sigma$ is a '''left-to-right-maximum''' if there does not exist a $j < i$ such that $\sigma_j > \sigma_i$. This is also the number of weak exceedences of a permutation that are not mid-points of a decreasing subsequence of length 3, see [1] for more on the later description. ----------------------------------------------------------------------------- References: [1] Chen, J. N., Zhou, R. D. P. On the Sign-imbalance of Permutation Tableaux [[arXiv:1602.00105]] ----------------------------------------------------------------------------- Code: def statistic(pi): pi = list(pi) i = count = 0 for j in range(len(pi)): if pi[j] > i: i = pi[j] count += 1 return count ----------------------------------------------------------------------------- Statistic values: [1] => 1 [1,2] => 2 [2,1] => 1 [1,2,3] => 3 [1,3,2] => 2 [2,1,3] => 2 [2,3,1] => 2 [3,1,2] => 1 [3,2,1] => 1 [1,2,3,4] => 4 [1,2,4,3] => 3 [1,3,2,4] => 3 [1,3,4,2] => 3 [1,4,2,3] => 2 [1,4,3,2] => 2 [2,1,3,4] => 3 [2,1,4,3] => 2 [2,3,1,4] => 3 [2,3,4,1] => 3 [2,4,1,3] => 2 [2,4,3,1] => 2 [3,1,2,4] => 2 [3,1,4,2] => 2 [3,2,1,4] => 2 [3,2,4,1] => 2 [3,4,1,2] => 2 [3,4,2,1] => 2 [4,1,2,3] => 1 [4,1,3,2] => 1 [4,2,1,3] => 1 [4,2,3,1] => 1 [4,3,1,2] => 1 [4,3,2,1] => 1 [1,2,3,4,5] => 5 [1,2,3,5,4] => 4 [1,2,4,3,5] => 4 [1,2,4,5,3] => 4 [1,2,5,3,4] => 3 [1,2,5,4,3] => 3 [1,3,2,4,5] => 4 [1,3,2,5,4] => 3 [1,3,4,2,5] => 4 [1,3,4,5,2] => 4 [1,3,5,2,4] => 3 [1,3,5,4,2] => 3 [1,4,2,3,5] => 3 [1,4,2,5,3] => 3 [1,4,3,2,5] => 3 [1,4,3,5,2] => 3 [1,4,5,2,3] => 3 [1,4,5,3,2] => 3 [1,5,2,3,4] => 2 [1,5,2,4,3] => 2 [1,5,3,2,4] => 2 [1,5,3,4,2] => 2 [1,5,4,2,3] => 2 [1,5,4,3,2] => 2 [2,1,3,4,5] => 4 [2,1,3,5,4] => 3 [2,1,4,3,5] => 3 [2,1,4,5,3] => 3 [2,1,5,3,4] => 2 [2,1,5,4,3] => 2 [2,3,1,4,5] => 4 [2,3,1,5,4] => 3 [2,3,4,1,5] => 4 [2,3,4,5,1] => 4 [2,3,5,1,4] => 3 [2,3,5,4,1] => 3 [2,4,1,3,5] => 3 [2,4,1,5,3] => 3 [2,4,3,1,5] => 3 [2,4,3,5,1] => 3 [2,4,5,1,3] => 3 [2,4,5,3,1] => 3 [2,5,1,3,4] => 2 [2,5,1,4,3] => 2 [2,5,3,1,4] => 2 [2,5,3,4,1] => 2 [2,5,4,1,3] => 2 [2,5,4,3,1] => 2 [3,1,2,4,5] => 3 [3,1,2,5,4] => 2 [3,1,4,2,5] => 3 [3,1,4,5,2] => 3 [3,1,5,2,4] => 2 [3,1,5,4,2] => 2 [3,2,1,4,5] => 3 [3,2,1,5,4] => 2 [3,2,4,1,5] => 3 [3,2,4,5,1] => 3 [3,2,5,1,4] => 2 [3,2,5,4,1] => 2 [3,4,1,2,5] => 3 [3,4,1,5,2] => 3 [3,4,2,1,5] => 3 [3,4,2,5,1] => 3 [3,4,5,1,2] => 3 [3,4,5,2,1] => 3 [3,5,1,2,4] => 2 [3,5,1,4,2] => 2 [3,5,2,1,4] => 2 [3,5,2,4,1] => 2 [3,5,4,1,2] => 2 [3,5,4,2,1] => 2 [4,1,2,3,5] => 2 [4,1,2,5,3] => 2 [4,1,3,2,5] => 2 [4,1,3,5,2] => 2 [4,1,5,2,3] => 2 [4,1,5,3,2] => 2 [4,2,1,3,5] => 2 [4,2,1,5,3] => 2 [4,2,3,1,5] => 2 [4,2,3,5,1] => 2 [4,2,5,1,3] => 2 [4,2,5,3,1] => 2 [4,3,1,2,5] => 2 [4,3,1,5,2] => 2 [4,3,2,1,5] => 2 [4,3,2,5,1] => 2 [4,3,5,1,2] => 2 [4,3,5,2,1] => 2 [4,5,1,2,3] => 2 [4,5,1,3,2] => 2 [4,5,2,1,3] => 2 [4,5,2,3,1] => 2 [4,5,3,1,2] => 2 [4,5,3,2,1] => 2 [5,1,2,3,4] => 1 [5,1,2,4,3] => 1 [5,1,3,2,4] => 1 [5,1,3,4,2] => 1 [5,1,4,2,3] => 1 [5,1,4,3,2] => 1 [5,2,1,3,4] => 1 [5,2,1,4,3] => 1 [5,2,3,1,4] => 1 [5,2,3,4,1] => 1 [5,2,4,1,3] => 1 [5,2,4,3,1] => 1 [5,3,1,2,4] => 1 [5,3,1,4,2] => 1 [5,3,2,1,4] => 1 [5,3,2,4,1] => 1 [5,3,4,1,2] => 1 [5,3,4,2,1] => 1 [5,4,1,2,3] => 1 [5,4,1,3,2] => 1 [5,4,2,1,3] => 1 [5,4,2,3,1] => 1 [5,4,3,1,2] => 1 [5,4,3,2,1] => 1 [1,2,3,4,5,6] => 6 [1,2,3,4,6,5] => 5 [1,2,3,5,4,6] => 5 [1,2,3,5,6,4] => 5 [1,2,3,6,4,5] => 4 [1,2,3,6,5,4] => 4 [1,2,4,3,5,6] => 5 [1,2,4,3,6,5] => 4 [1,2,4,5,3,6] => 5 [1,2,4,5,6,3] => 5 [1,2,4,6,3,5] => 4 [1,2,4,6,5,3] => 4 [1,2,5,3,4,6] => 4 [1,2,5,3,6,4] => 4 [1,2,5,4,3,6] => 4 [1,2,5,4,6,3] => 4 [1,2,5,6,3,4] => 4 [1,2,5,6,4,3] => 4 [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] => 5 [1,3,2,4,6,5] => 4 [1,3,2,5,4,6] => 4 [1,3,2,5,6,4] => 4 [1,3,2,6,4,5] => 3 [1,3,2,6,5,4] => 3 [1,3,4,2,5,6] => 5 [1,3,4,2,6,5] => 4 [1,3,4,5,2,6] => 5 [1,3,4,5,6,2] => 5 [1,3,4,6,2,5] => 4 [1,3,4,6,5,2] => 4 [1,3,5,2,4,6] => 4 [1,3,5,2,6,4] => 4 [1,3,5,4,2,6] => 4 [1,3,5,4,6,2] => 4 [1,3,5,6,2,4] => 4 [1,3,5,6,4,2] => 4 [1,3,6,2,4,5] => 3 [1,3,6,2,5,4] => 3 [1,3,6,4,2,5] => 3 [1,3,6,4,5,2] => 3 [1,3,6,5,2,4] => 3 [1,3,6,5,4,2] => 3 [1,4,2,3,5,6] => 4 [1,4,2,3,6,5] => 3 [1,4,2,5,3,6] => 4 [1,4,2,5,6,3] => 4 [1,4,2,6,3,5] => 3 [1,4,2,6,5,3] => 3 [1,4,3,2,5,6] => 4 [1,4,3,2,6,5] => 3 [1,4,3,5,2,6] => 4 [1,4,3,5,6,2] => 4 [1,4,3,6,2,5] => 3 [1,4,3,6,5,2] => 3 [1,4,5,2,3,6] => 4 [1,4,5,2,6,3] => 4 [1,4,5,3,2,6] => 4 [1,4,5,3,6,2] => 4 [1,4,5,6,2,3] => 4 [1,4,5,6,3,2] => 4 [1,4,6,2,3,5] => 3 [1,4,6,2,5,3] => 3 [1,4,6,3,2,5] => 3 [1,4,6,3,5,2] => 3 [1,4,6,5,2,3] => 3 [1,4,6,5,3,2] => 3 [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] => 3 [1,5,2,6,4,3] => 3 [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] => 2 [1,6,2,3,5,4] => 2 [1,6,2,4,3,5] => 2 [1,6,2,4,5,3] => 2 [1,6,2,5,3,4] => 2 [1,6,2,5,4,3] => 2 [1,6,3,2,4,5] => 2 [1,6,3,2,5,4] => 2 [1,6,3,4,2,5] => 2 [1,6,3,4,5,2] => 2 [1,6,3,5,2,4] => 2 [1,6,3,5,4,2] => 2 [1,6,4,2,3,5] => 2 [1,6,4,2,5,3] => 2 [1,6,4,3,2,5] => 2 [1,6,4,3,5,2] => 2 [1,6,4,5,2,3] => 2 [1,6,4,5,3,2] => 2 [1,6,5,2,3,4] => 2 [1,6,5,2,4,3] => 2 [1,6,5,3,2,4] => 2 [1,6,5,3,4,2] => 2 [1,6,5,4,2,3] => 2 [1,6,5,4,3,2] => 2 [2,1,3,4,5,6] => 5 [2,1,3,4,6,5] => 4 [2,1,3,5,4,6] => 4 [2,1,3,5,6,4] => 4 [2,1,3,6,4,5] => 3 [2,1,3,6,5,4] => 3 [2,1,4,3,5,6] => 4 [2,1,4,3,6,5] => 3 [2,1,4,5,3,6] => 4 [2,1,4,5,6,3] => 4 [2,1,4,6,3,5] => 3 [2,1,4,6,5,3] => 3 [2,1,5,3,4,6] => 3 [2,1,5,3,6,4] => 3 [2,1,5,4,3,6] => 3 [2,1,5,4,6,3] => 3 [2,1,5,6,3,4] => 3 [2,1,5,6,4,3] => 3 [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] => 5 [2,3,1,4,6,5] => 4 [2,3,1,5,4,6] => 4 [2,3,1,5,6,4] => 4 [2,3,1,6,4,5] => 3 [2,3,1,6,5,4] => 3 [2,3,4,1,5,6] => 5 [2,3,4,1,6,5] => 4 [2,3,4,5,1,6] => 5 [2,3,4,5,6,1] => 5 [2,3,4,6,1,5] => 4 [2,3,4,6,5,1] => 4 [2,3,5,1,4,6] => 4 [2,3,5,1,6,4] => 4 [2,3,5,4,1,6] => 4 [2,3,5,4,6,1] => 4 [2,3,5,6,1,4] => 4 [2,3,5,6,4,1] => 4 [2,3,6,1,4,5] => 3 [2,3,6,1,5,4] => 3 [2,3,6,4,1,5] => 3 [2,3,6,4,5,1] => 3 [2,3,6,5,1,4] => 3 [2,3,6,5,4,1] => 3 [2,4,1,3,5,6] => 4 [2,4,1,3,6,5] => 3 [2,4,1,5,3,6] => 4 [2,4,1,5,6,3] => 4 [2,4,1,6,3,5] => 3 [2,4,1,6,5,3] => 3 [2,4,3,1,5,6] => 4 [2,4,3,1,6,5] => 3 [2,4,3,5,1,6] => 4 [2,4,3,5,6,1] => 4 [2,4,3,6,1,5] => 3 [2,4,3,6,5,1] => 3 [2,4,5,1,3,6] => 4 [2,4,5,1,6,3] => 4 [2,4,5,3,1,6] => 4 [2,4,5,3,6,1] => 4 [2,4,5,6,1,3] => 4 [2,4,5,6,3,1] => 4 [2,4,6,1,3,5] => 3 [2,4,6,1,5,3] => 3 [2,4,6,3,1,5] => 3 [2,4,6,3,5,1] => 3 [2,4,6,5,1,3] => 3 [2,4,6,5,3,1] => 3 [2,5,1,3,4,6] => 3 [2,5,1,3,6,4] => 3 [2,5,1,4,3,6] => 3 [2,5,1,4,6,3] => 3 [2,5,1,6,3,4] => 3 [2,5,1,6,4,3] => 3 [2,5,3,1,4,6] => 3 [2,5,3,1,6,4] => 3 [2,5,3,4,1,6] => 3 [2,5,3,4,6,1] => 3 [2,5,3,6,1,4] => 3 [2,5,3,6,4,1] => 3 [2,5,4,1,3,6] => 3 [2,5,4,1,6,3] => 3 [2,5,4,3,1,6] => 3 [2,5,4,3,6,1] => 3 [2,5,4,6,1,3] => 3 [2,5,4,6,3,1] => 3 [2,5,6,1,3,4] => 3 [2,5,6,1,4,3] => 3 [2,5,6,3,1,4] => 3 [2,5,6,3,4,1] => 3 [2,5,6,4,1,3] => 3 [2,5,6,4,3,1] => 3 [2,6,1,3,4,5] => 2 [2,6,1,3,5,4] => 2 [2,6,1,4,3,5] => 2 [2,6,1,4,5,3] => 2 [2,6,1,5,3,4] => 2 [2,6,1,5,4,3] => 2 [2,6,3,1,4,5] => 2 [2,6,3,1,5,4] => 2 [2,6,3,4,1,5] => 2 [2,6,3,4,5,1] => 2 [2,6,3,5,1,4] => 2 [2,6,3,5,4,1] => 2 [2,6,4,1,3,5] => 2 [2,6,4,1,5,3] => 2 [2,6,4,3,1,5] => 2 [2,6,4,3,5,1] => 2 [2,6,4,5,1,3] => 2 [2,6,4,5,3,1] => 2 [2,6,5,1,3,4] => 2 [2,6,5,1,4,3] => 2 [2,6,5,3,1,4] => 2 [2,6,5,3,4,1] => 2 [2,6,5,4,1,3] => 2 [2,6,5,4,3,1] => 2 [3,1,2,4,5,6] => 4 [3,1,2,4,6,5] => 3 [3,1,2,5,4,6] => 3 [3,1,2,5,6,4] => 3 [3,1,2,6,4,5] => 2 [3,1,2,6,5,4] => 2 [3,1,4,2,5,6] => 4 [3,1,4,2,6,5] => 3 [3,1,4,5,2,6] => 4 [3,1,4,5,6,2] => 4 [3,1,4,6,2,5] => 3 [3,1,4,6,5,2] => 3 [3,1,5,2,4,6] => 3 [3,1,5,2,6,4] => 3 [3,1,5,4,2,6] => 3 [3,1,5,4,6,2] => 3 [3,1,5,6,2,4] => 3 [3,1,5,6,4,2] => 3 [3,1,6,2,4,5] => 2 [3,1,6,2,5,4] => 2 [3,1,6,4,2,5] => 2 [3,1,6,4,5,2] => 2 [3,1,6,5,2,4] => 2 [3,1,6,5,4,2] => 2 [3,2,1,4,5,6] => 4 [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] => 2 [3,2,1,6,5,4] => 2 [3,2,4,1,5,6] => 4 [3,2,4,1,6,5] => 3 [3,2,4,5,1,6] => 4 [3,2,4,5,6,1] => 4 [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] => 2 [3,2,6,1,5,4] => 2 [3,2,6,4,1,5] => 2 [3,2,6,4,5,1] => 2 [3,2,6,5,1,4] => 2 [3,2,6,5,4,1] => 2 [3,4,1,2,5,6] => 4 [3,4,1,2,6,5] => 3 [3,4,1,5,2,6] => 4 [3,4,1,5,6,2] => 4 [3,4,1,6,2,5] => 3 [3,4,1,6,5,2] => 3 [3,4,2,1,5,6] => 4 [3,4,2,1,6,5] => 3 [3,4,2,5,1,6] => 4 [3,4,2,5,6,1] => 4 [3,4,2,6,1,5] => 3 [3,4,2,6,5,1] => 3 [3,4,5,1,2,6] => 4 [3,4,5,1,6,2] => 4 [3,4,5,2,1,6] => 4 [3,4,5,2,6,1] => 4 [3,4,5,6,1,2] => 4 [3,4,5,6,2,1] => 4 [3,4,6,1,2,5] => 3 [3,4,6,1,5,2] => 3 [3,4,6,2,1,5] => 3 [3,4,6,2,5,1] => 3 [3,4,6,5,1,2] => 3 [3,4,6,5,2,1] => 3 [3,5,1,2,4,6] => 3 [3,5,1,2,6,4] => 3 [3,5,1,4,2,6] => 3 [3,5,1,4,6,2] => 3 [3,5,1,6,2,4] => 3 [3,5,1,6,4,2] => 3 [3,5,2,1,4,6] => 3 [3,5,2,1,6,4] => 3 [3,5,2,4,1,6] => 3 [3,5,2,4,6,1] => 3 [3,5,2,6,1,4] => 3 [3,5,2,6,4,1] => 3 [3,5,4,1,2,6] => 3 [3,5,4,1,6,2] => 3 [3,5,4,2,1,6] => 3 [3,5,4,2,6,1] => 3 [3,5,4,6,1,2] => 3 [3,5,4,6,2,1] => 3 [3,5,6,1,2,4] => 3 [3,5,6,1,4,2] => 3 [3,5,6,2,1,4] => 3 [3,5,6,2,4,1] => 3 [3,5,6,4,1,2] => 3 [3,5,6,4,2,1] => 3 [3,6,1,2,4,5] => 2 [3,6,1,2,5,4] => 2 [3,6,1,4,2,5] => 2 [3,6,1,4,5,2] => 2 [3,6,1,5,2,4] => 2 [3,6,1,5,4,2] => 2 [3,6,2,1,4,5] => 2 [3,6,2,1,5,4] => 2 [3,6,2,4,1,5] => 2 [3,6,2,4,5,1] => 2 [3,6,2,5,1,4] => 2 [3,6,2,5,4,1] => 2 [3,6,4,1,2,5] => 2 [3,6,4,1,5,2] => 2 [3,6,4,2,1,5] => 2 [3,6,4,2,5,1] => 2 [3,6,4,5,1,2] => 2 [3,6,4,5,2,1] => 2 [3,6,5,1,2,4] => 2 [3,6,5,1,4,2] => 2 [3,6,5,2,1,4] => 2 [3,6,5,2,4,1] => 2 [3,6,5,4,1,2] => 2 [3,6,5,4,2,1] => 2 [4,1,2,3,5,6] => 3 [4,1,2,3,6,5] => 2 [4,1,2,5,3,6] => 3 [4,1,2,5,6,3] => 3 [4,1,2,6,3,5] => 2 [4,1,2,6,5,3] => 2 [4,1,3,2,5,6] => 3 [4,1,3,2,6,5] => 2 [4,1,3,5,2,6] => 3 [4,1,3,5,6,2] => 3 [4,1,3,6,2,5] => 2 [4,1,3,6,5,2] => 2 [4,1,5,2,3,6] => 3 [4,1,5,2,6,3] => 3 [4,1,5,3,2,6] => 3 [4,1,5,3,6,2] => 3 [4,1,5,6,2,3] => 3 [4,1,5,6,3,2] => 3 [4,1,6,2,3,5] => 2 [4,1,6,2,5,3] => 2 [4,1,6,3,2,5] => 2 [4,1,6,3,5,2] => 2 [4,1,6,5,2,3] => 2 [4,1,6,5,3,2] => 2 [4,2,1,3,5,6] => 3 [4,2,1,3,6,5] => 2 [4,2,1,5,3,6] => 3 [4,2,1,5,6,3] => 3 [4,2,1,6,3,5] => 2 [4,2,1,6,5,3] => 2 [4,2,3,1,5,6] => 3 [4,2,3,1,6,5] => 2 [4,2,3,5,1,6] => 3 [4,2,3,5,6,1] => 3 [4,2,3,6,1,5] => 2 [4,2,3,6,5,1] => 2 [4,2,5,1,3,6] => 3 [4,2,5,1,6,3] => 3 [4,2,5,3,1,6] => 3 [4,2,5,3,6,1] => 3 [4,2,5,6,1,3] => 3 [4,2,5,6,3,1] => 3 [4,2,6,1,3,5] => 2 [4,2,6,1,5,3] => 2 [4,2,6,3,1,5] => 2 [4,2,6,3,5,1] => 2 [4,2,6,5,1,3] => 2 [4,2,6,5,3,1] => 2 [4,3,1,2,5,6] => 3 [4,3,1,2,6,5] => 2 [4,3,1,5,2,6] => 3 [4,3,1,5,6,2] => 3 [4,3,1,6,2,5] => 2 [4,3,1,6,5,2] => 2 [4,3,2,1,5,6] => 3 [4,3,2,1,6,5] => 2 [4,3,2,5,1,6] => 3 [4,3,2,5,6,1] => 3 [4,3,2,6,1,5] => 2 [4,3,2,6,5,1] => 2 [4,3,5,1,2,6] => 3 [4,3,5,1,6,2] => 3 [4,3,5,2,1,6] => 3 [4,3,5,2,6,1] => 3 [4,3,5,6,1,2] => 3 [4,3,5,6,2,1] => 3 [4,3,6,1,2,5] => 2 [4,3,6,1,5,2] => 2 [4,3,6,2,1,5] => 2 [4,3,6,2,5,1] => 2 [4,3,6,5,1,2] => 2 [4,3,6,5,2,1] => 2 [4,5,1,2,3,6] => 3 [4,5,1,2,6,3] => 3 [4,5,1,3,2,6] => 3 [4,5,1,3,6,2] => 3 [4,5,1,6,2,3] => 3 [4,5,1,6,3,2] => 3 [4,5,2,1,3,6] => 3 [4,5,2,1,6,3] => 3 [4,5,2,3,1,6] => 3 [4,5,2,3,6,1] => 3 [4,5,2,6,1,3] => 3 [4,5,2,6,3,1] => 3 [4,5,3,1,2,6] => 3 [4,5,3,1,6,2] => 3 [4,5,3,2,1,6] => 3 [4,5,3,2,6,1] => 3 [4,5,3,6,1,2] => 3 [4,5,3,6,2,1] => 3 [4,5,6,1,2,3] => 3 [4,5,6,1,3,2] => 3 [4,5,6,2,1,3] => 3 [4,5,6,2,3,1] => 3 [4,5,6,3,1,2] => 3 [4,5,6,3,2,1] => 3 [4,6,1,2,3,5] => 2 [4,6,1,2,5,3] => 2 [4,6,1,3,2,5] => 2 [4,6,1,3,5,2] => 2 [4,6,1,5,2,3] => 2 [4,6,1,5,3,2] => 2 [4,6,2,1,3,5] => 2 [4,6,2,1,5,3] => 2 [4,6,2,3,1,5] => 2 [4,6,2,3,5,1] => 2 [4,6,2,5,1,3] => 2 [4,6,2,5,3,1] => 2 [4,6,3,1,2,5] => 2 [4,6,3,1,5,2] => 2 [4,6,3,2,1,5] => 2 [4,6,3,2,5,1] => 2 [4,6,3,5,1,2] => 2 [4,6,3,5,2,1] => 2 [4,6,5,1,2,3] => 2 [4,6,5,1,3,2] => 2 [4,6,5,2,1,3] => 2 [4,6,5,2,3,1] => 2 [4,6,5,3,1,2] => 2 [4,6,5,3,2,1] => 2 [5,1,2,3,4,6] => 2 [5,1,2,3,6,4] => 2 [5,1,2,4,3,6] => 2 [5,1,2,4,6,3] => 2 [5,1,2,6,3,4] => 2 [5,1,2,6,4,3] => 2 [5,1,3,2,4,6] => 2 [5,1,3,2,6,4] => 2 [5,1,3,4,2,6] => 2 [5,1,3,4,6,2] => 2 [5,1,3,6,2,4] => 2 [5,1,3,6,4,2] => 2 [5,1,4,2,3,6] => 2 [5,1,4,2,6,3] => 2 [5,1,4,3,2,6] => 2 [5,1,4,3,6,2] => 2 [5,1,4,6,2,3] => 2 [5,1,4,6,3,2] => 2 [5,1,6,2,3,4] => 2 [5,1,6,2,4,3] => 2 [5,1,6,3,2,4] => 2 [5,1,6,3,4,2] => 2 [5,1,6,4,2,3] => 2 [5,1,6,4,3,2] => 2 [5,2,1,3,4,6] => 2 [5,2,1,3,6,4] => 2 [5,2,1,4,3,6] => 2 [5,2,1,4,6,3] => 2 [5,2,1,6,3,4] => 2 [5,2,1,6,4,3] => 2 [5,2,3,1,4,6] => 2 [5,2,3,1,6,4] => 2 [5,2,3,4,1,6] => 2 [5,2,3,4,6,1] => 2 [5,2,3,6,1,4] => 2 [5,2,3,6,4,1] => 2 [5,2,4,1,3,6] => 2 [5,2,4,1,6,3] => 2 [5,2,4,3,1,6] => 2 [5,2,4,3,6,1] => 2 [5,2,4,6,1,3] => 2 [5,2,4,6,3,1] => 2 [5,2,6,1,3,4] => 2 [5,2,6,1,4,3] => 2 [5,2,6,3,1,4] => 2 [5,2,6,3,4,1] => 2 [5,2,6,4,1,3] => 2 [5,2,6,4,3,1] => 2 [5,3,1,2,4,6] => 2 [5,3,1,2,6,4] => 2 [5,3,1,4,2,6] => 2 [5,3,1,4,6,2] => 2 [5,3,1,6,2,4] => 2 [5,3,1,6,4,2] => 2 [5,3,2,1,4,6] => 2 [5,3,2,1,6,4] => 2 [5,3,2,4,1,6] => 2 [5,3,2,4,6,1] => 2 [5,3,2,6,1,4] => 2 [5,3,2,6,4,1] => 2 [5,3,4,1,2,6] => 2 [5,3,4,1,6,2] => 2 [5,3,4,2,1,6] => 2 [5,3,4,2,6,1] => 2 [5,3,4,6,1,2] => 2 [5,3,4,6,2,1] => 2 [5,3,6,1,2,4] => 2 [5,3,6,1,4,2] => 2 [5,3,6,2,1,4] => 2 [5,3,6,2,4,1] => 2 [5,3,6,4,1,2] => 2 [5,3,6,4,2,1] => 2 [5,4,1,2,3,6] => 2 [5,4,1,2,6,3] => 2 [5,4,1,3,2,6] => 2 [5,4,1,3,6,2] => 2 [5,4,1,6,2,3] => 2 [5,4,1,6,3,2] => 2 [5,4,2,1,3,6] => 2 [5,4,2,1,6,3] => 2 [5,4,2,3,1,6] => 2 [5,4,2,3,6,1] => 2 [5,4,2,6,1,3] => 2 [5,4,2,6,3,1] => 2 [5,4,3,1,2,6] => 2 [5,4,3,1,6,2] => 2 [5,4,3,2,1,6] => 2 [5,4,3,2,6,1] => 2 [5,4,3,6,1,2] => 2 [5,4,3,6,2,1] => 2 [5,4,6,1,2,3] => 2 [5,4,6,1,3,2] => 2 [5,4,6,2,1,3] => 2 [5,4,6,2,3,1] => 2 [5,4,6,3,1,2] => 2 [5,4,6,3,2,1] => 2 [5,6,1,2,3,4] => 2 [5,6,1,2,4,3] => 2 [5,6,1,3,2,4] => 2 [5,6,1,3,4,2] => 2 [5,6,1,4,2,3] => 2 [5,6,1,4,3,2] => 2 [5,6,2,1,3,4] => 2 [5,6,2,1,4,3] => 2 [5,6,2,3,1,4] => 2 [5,6,2,3,4,1] => 2 [5,6,2,4,1,3] => 2 [5,6,2,4,3,1] => 2 [5,6,3,1,2,4] => 2 [5,6,3,1,4,2] => 2 [5,6,3,2,1,4] => 2 [5,6,3,2,4,1] => 2 [5,6,3,4,1,2] => 2 [5,6,3,4,2,1] => 2 [5,6,4,1,2,3] => 2 [5,6,4,1,3,2] => 2 [5,6,4,2,1,3] => 2 [5,6,4,2,3,1] => 2 [5,6,4,3,1,2] => 2 [5,6,4,3,2,1] => 2 [6,1,2,3,4,5] => 1 [6,1,2,3,5,4] => 1 [6,1,2,4,3,5] => 1 [6,1,2,4,5,3] => 1 [6,1,2,5,3,4] => 1 [6,1,2,5,4,3] => 1 [6,1,3,2,4,5] => 1 [6,1,3,2,5,4] => 1 [6,1,3,4,2,5] => 1 [6,1,3,4,5,2] => 1 [6,1,3,5,2,4] => 1 [6,1,3,5,4,2] => 1 [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] => 1 [6,1,5,2,4,3] => 1 [6,1,5,3,2,4] => 1 [6,1,5,3,4,2] => 1 [6,1,5,4,2,3] => 1 [6,1,5,4,3,2] => 1 [6,2,1,3,4,5] => 1 [6,2,1,3,5,4] => 1 [6,2,1,4,3,5] => 1 [6,2,1,4,5,3] => 1 [6,2,1,5,3,4] => 1 [6,2,1,5,4,3] => 1 [6,2,3,1,4,5] => 1 [6,2,3,1,5,4] => 1 [6,2,3,4,1,5] => 1 [6,2,3,4,5,1] => 1 [6,2,3,5,1,4] => 1 [6,2,3,5,4,1] => 1 [6,2,4,1,3,5] => 1 [6,2,4,1,5,3] => 1 [6,2,4,3,1,5] => 1 [6,2,4,3,5,1] => 1 [6,2,4,5,1,3] => 1 [6,2,4,5,3,1] => 1 [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] => 1 [6,3,1,2,5,4] => 1 [6,3,1,4,2,5] => 1 [6,3,1,4,5,2] => 1 [6,3,1,5,2,4] => 1 [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] => 1 [6,3,4,1,2,5] => 1 [6,3,4,1,5,2] => 1 [6,3,4,2,1,5] => 1 [6,3,4,2,5,1] => 1 [6,3,4,5,1,2] => 1 [6,3,4,5,2,1] => 1 [6,3,5,1,2,4] => 1 [6,3,5,1,4,2] => 1 [6,3,5,2,1,4] => 1 [6,3,5,2,4,1] => 1 [6,3,5,4,1,2] => 1 [6,3,5,4,2,1] => 1 [6,4,1,2,3,5] => 1 [6,4,1,2,5,3] => 1 [6,4,1,3,2,5] => 1 [6,4,1,3,5,2] => 1 [6,4,1,5,2,3] => 1 [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] => 1 [6,4,2,3,5,1] => 1 [6,4,2,5,1,3] => 1 [6,4,2,5,3,1] => 1 [6,4,3,1,2,5] => 1 [6,4,3,1,5,2] => 1 [6,4,3,2,1,5] => 1 [6,4,3,2,5,1] => 1 [6,4,3,5,1,2] => 1 [6,4,3,5,2,1] => 1 [6,4,5,1,2,3] => 1 [6,4,5,1,3,2] => 1 [6,4,5,2,1,3] => 1 [6,4,5,2,3,1] => 1 [6,4,5,3,1,2] => 1 [6,4,5,3,2,1] => 1 [6,5,1,2,3,4] => 1 [6,5,1,2,4,3] => 1 [6,5,1,3,2,4] => 1 [6,5,1,3,4,2] => 1 [6,5,1,4,2,3] => 1 [6,5,1,4,3,2] => 1 [6,5,2,1,3,4] => 1 [6,5,2,1,4,3] => 1 [6,5,2,3,1,4] => 1 [6,5,2,3,4,1] => 1 [6,5,2,4,1,3] => 1 [6,5,2,4,3,1] => 1 [6,5,3,1,2,4] => 1 [6,5,3,1,4,2] => 1 [6,5,3,2,1,4] => 1 [6,5,3,2,4,1] => 1 [6,5,3,4,1,2] => 1 [6,5,3,4,2,1] => 1 [6,5,4,1,2,3] => 1 [6,5,4,1,3,2] => 1 [6,5,4,2,1,3] => 1 [6,5,4,2,3,1] => 1 [6,5,4,3,1,2] => 1 [6,5,4,3,2,1] => 1 ----------------------------------------------------------------------------- Created: Dec 08, 2015 at 11:06 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Feb 02, 2016 at 20:37 by Christian Stump