***************************************************************************** * 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: St000226 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The convexity of a permutation. It is given by the maximal value of $2x_i-x_{i-1}-x_{i+1}$ over all $i \in \{2,\ldots,n-1\}$. ----------------------------------------------------------------------------- References: [1] Coscia, C., DeWitt, J. Locally Convex Words and Permutations [[arXiv:1410.7818]] ----------------------------------------------------------------------------- Code: def statistic(x): return max([0] +[2*x[i]-x[i-1]-x[i+1] for i in range(1, len(x)-1)]) ----------------------------------------------------------------------------- Statistic values: [1,2] => 0 [2,1] => 0 [1,2,3] => 0 [1,3,2] => 3 [2,1,3] => 0 [2,3,1] => 3 [3,1,2] => 0 [3,2,1] => 0 [1,2,3,4] => 0 [1,2,4,3] => 3 [1,3,2,4] => 3 [1,3,4,2] => 3 [1,4,2,3] => 5 [1,4,3,2] => 4 [2,1,3,4] => 1 [2,1,4,3] => 4 [2,3,1,4] => 3 [2,3,4,1] => 4 [2,4,1,3] => 5 [2,4,3,1] => 3 [3,1,2,4] => 0 [3,1,4,2] => 5 [3,2,1,4] => 0 [3,2,4,1] => 5 [3,4,1,2] => 4 [3,4,2,1] => 3 [4,1,2,3] => 0 [4,1,3,2] => 3 [4,2,1,3] => 0 [4,2,3,1] => 3 [4,3,1,2] => 1 [4,3,2,1] => 0 [1,2,3,4,5] => 0 [1,2,3,5,4] => 3 [1,2,4,3,5] => 3 [1,2,4,5,3] => 3 [1,2,5,3,4] => 5 [1,2,5,4,3] => 4 [1,3,2,4,5] => 3 [1,3,2,5,4] => 4 [1,3,4,2,5] => 3 [1,3,4,5,2] => 4 [1,3,5,2,4] => 5 [1,3,5,4,2] => 3 [1,4,2,3,5] => 5 [1,4,2,5,3] => 5 [1,4,3,2,5] => 4 [1,4,3,5,2] => 5 [1,4,5,2,3] => 4 [1,4,5,3,2] => 3 [1,5,2,3,4] => 7 [1,5,2,4,3] => 7 [1,5,3,2,4] => 6 [1,5,3,4,2] => 6 [1,5,4,2,3] => 5 [1,5,4,3,2] => 5 [2,1,3,4,5] => 1 [2,1,3,5,4] => 3 [2,1,4,3,5] => 4 [2,1,4,5,3] => 3 [2,1,5,3,4] => 6 [2,1,5,4,3] => 5 [2,3,1,4,5] => 3 [2,3,1,5,4] => 5 [2,3,4,1,5] => 4 [2,3,4,5,1] => 5 [2,3,5,1,4] => 6 [2,3,5,4,1] => 3 [2,4,1,3,5] => 5 [2,4,1,5,3] => 6 [2,4,3,1,5] => 3 [2,4,3,5,1] => 6 [2,4,5,1,3] => 5 [2,4,5,3,1] => 3 [2,5,1,3,4] => 7 [2,5,1,4,3] => 7 [2,5,3,1,4] => 5 [2,5,3,4,1] => 5 [2,5,4,1,3] => 4 [2,5,4,3,1] => 4 [3,1,2,4,5] => 1 [3,1,2,5,4] => 4 [3,1,4,2,5] => 5 [3,1,4,5,2] => 4 [3,1,5,2,4] => 7 [3,1,5,4,2] => 5 [3,2,1,4,5] => 2 [3,2,1,5,4] => 5 [3,2,4,1,5] => 5 [3,2,4,5,1] => 5 [3,2,5,1,4] => 7 [3,2,5,4,1] => 4 [3,4,1,2,5] => 4 [3,4,1,5,2] => 7 [3,4,2,1,5] => 3 [3,4,2,5,1] => 7 [3,4,5,1,2] => 5 [3,4,5,2,1] => 4 [3,5,1,2,4] => 6 [3,5,1,4,2] => 6 [3,5,2,1,4] => 5 [3,5,2,4,1] => 5 [3,5,4,1,2] => 3 [3,5,4,2,1] => 3 [4,1,2,3,5] => 0 [4,1,2,5,3] => 5 [4,1,3,2,5] => 3 [4,1,3,5,2] => 5 [4,1,5,2,3] => 7 [4,1,5,3,2] => 6 [4,2,1,3,5] => 0 [4,2,1,5,3] => 6 [4,2,3,1,5] => 3 [4,2,3,5,1] => 6 [4,2,5,1,3] => 7 [4,2,5,3,1] => 5 [4,3,1,2,5] => 1 [4,3,1,5,2] => 7 [4,3,2,1,5] => 0 [4,3,2,5,1] => 7 [4,3,5,1,2] => 6 [4,3,5,2,1] => 5 [4,5,1,2,3] => 5 [4,5,1,3,2] => 5 [4,5,2,1,3] => 4 [4,5,2,3,1] => 4 [4,5,3,1,2] => 3 [4,5,3,2,1] => 3 [5,1,2,3,4] => 0 [5,1,2,4,3] => 3 [5,1,3,2,4] => 3 [5,1,3,4,2] => 3 [5,1,4,2,3] => 5 [5,1,4,3,2] => 4 [5,2,1,3,4] => 1 [5,2,1,4,3] => 4 [5,2,3,1,4] => 3 [5,2,3,4,1] => 4 [5,2,4,1,3] => 5 [5,2,4,3,1] => 3 [5,3,1,2,4] => 0 [5,3,1,4,2] => 5 [5,3,2,1,4] => 0 [5,3,2,4,1] => 5 [5,3,4,1,2] => 4 [5,3,4,2,1] => 3 [5,4,1,2,3] => 2 [5,4,1,3,2] => 3 [5,4,2,1,3] => 1 [5,4,2,3,1] => 3 [5,4,3,1,2] => 1 [5,4,3,2,1] => 0 [1,2,3,4,5,6] => 0 [1,2,3,4,6,5] => 3 [1,2,3,5,4,6] => 3 [1,2,3,5,6,4] => 3 [1,2,3,6,4,5] => 5 [1,2,3,6,5,4] => 4 [1,2,4,3,5,6] => 3 [1,2,4,3,6,5] => 4 [1,2,4,5,3,6] => 3 [1,2,4,5,6,3] => 4 [1,2,4,6,3,5] => 5 [1,2,4,6,5,3] => 3 [1,2,5,3,4,6] => 5 [1,2,5,3,6,4] => 5 [1,2,5,4,3,6] => 4 [1,2,5,4,6,3] => 5 [1,2,5,6,3,4] => 4 [1,2,5,6,4,3] => 3 [1,2,6,3,4,5] => 7 [1,2,6,3,5,4] => 7 [1,2,6,4,3,5] => 6 [1,2,6,4,5,3] => 6 [1,2,6,5,3,4] => 5 [1,2,6,5,4,3] => 5 [1,3,2,4,5,6] => 3 [1,3,2,4,6,5] => 3 [1,3,2,5,4,6] => 4 [1,3,2,5,6,4] => 3 [1,3,2,6,4,5] => 6 [1,3,2,6,5,4] => 5 [1,3,4,2,5,6] => 3 [1,3,4,2,6,5] => 5 [1,3,4,5,2,6] => 4 [1,3,4,5,6,2] => 5 [1,3,4,6,2,5] => 6 [1,3,4,6,5,2] => 3 [1,3,5,2,4,6] => 5 [1,3,5,2,6,4] => 6 [1,3,5,4,2,6] => 3 [1,3,5,4,6,2] => 6 [1,3,5,6,2,4] => 5 [1,3,5,6,4,2] => 3 [1,3,6,2,4,5] => 7 [1,3,6,2,5,4] => 7 [1,3,6,4,2,5] => 5 [1,3,6,4,5,2] => 5 [1,3,6,5,2,4] => 4 [1,3,6,5,4,2] => 4 [1,4,2,3,5,6] => 5 [1,4,2,3,6,5] => 5 [1,4,2,5,3,6] => 5 [1,4,2,5,6,3] => 5 [1,4,2,6,3,5] => 7 [1,4,2,6,5,3] => 5 [1,4,3,2,5,6] => 4 [1,4,3,2,6,5] => 5 [1,4,3,5,2,6] => 5 [1,4,3,5,6,2] => 5 [1,4,3,6,2,5] => 7 [1,4,3,6,5,2] => 4 [1,4,5,2,3,6] => 4 [1,4,5,2,6,3] => 7 [1,4,5,3,2,6] => 3 [1,4,5,3,6,2] => 7 [1,4,5,6,2,3] => 5 [1,4,5,6,3,2] => 4 [1,4,6,2,3,5] => 6 [1,4,6,2,5,3] => 6 [1,4,6,3,2,5] => 5 [1,4,6,3,5,2] => 5 [1,4,6,5,2,3] => 3 [1,4,6,5,3,2] => 3 [1,5,2,3,4,6] => 7 [1,5,2,3,6,4] => 7 [1,5,2,4,3,6] => 7 [1,5,2,4,6,3] => 7 [1,5,2,6,3,4] => 7 [1,5,2,6,4,3] => 7 [1,5,3,2,4,6] => 6 [1,5,3,2,6,4] => 6 [1,5,3,4,2,6] => 6 [1,5,3,4,6,2] => 6 [1,5,3,6,2,4] => 7 [1,5,3,6,4,2] => 6 [1,5,4,2,3,6] => 5 [1,5,4,2,6,3] => 7 [1,5,4,3,2,6] => 5 [1,5,4,3,6,2] => 7 [1,5,4,6,2,3] => 6 [1,5,4,6,3,2] => 5 [1,5,6,2,3,4] => 5 [1,5,6,2,4,3] => 5 [1,5,6,3,2,4] => 4 [1,5,6,3,4,2] => 4 [1,5,6,4,2,3] => 3 [1,5,6,4,3,2] => 3 [1,6,2,3,4,5] => 9 [1,6,2,3,5,4] => 9 [1,6,2,4,3,5] => 9 [1,6,2,4,5,3] => 9 [1,6,2,5,3,4] => 9 [1,6,2,5,4,3] => 9 [1,6,3,2,4,5] => 8 [1,6,3,2,5,4] => 8 [1,6,3,4,2,5] => 8 [1,6,3,4,5,2] => 8 [1,6,3,5,2,4] => 8 [1,6,3,5,4,2] => 8 [1,6,4,2,3,5] => 7 [1,6,4,2,5,3] => 7 [1,6,4,3,2,5] => 7 [1,6,4,3,5,2] => 7 [1,6,4,5,2,3] => 7 [1,6,4,5,3,2] => 7 [1,6,5,2,3,4] => 6 [1,6,5,2,4,3] => 6 [1,6,5,3,2,4] => 6 [1,6,5,3,4,2] => 6 [1,6,5,4,2,3] => 6 [1,6,5,4,3,2] => 6 [2,1,3,4,5,6] => 1 [2,1,3,4,6,5] => 3 [2,1,3,5,4,6] => 3 [2,1,3,5,6,4] => 3 [2,1,3,6,4,5] => 5 [2,1,3,6,5,4] => 4 [2,1,4,3,5,6] => 4 [2,1,4,3,6,5] => 4 [2,1,4,5,3,6] => 3 [2,1,4,5,6,3] => 4 [2,1,4,6,3,5] => 5 [2,1,4,6,5,3] => 3 [2,1,5,3,4,6] => 6 [2,1,5,3,6,4] => 6 [2,1,5,4,3,6] => 5 [2,1,5,4,6,3] => 5 [2,1,5,6,3,4] => 4 [2,1,5,6,4,3] => 3 [2,1,6,3,4,5] => 8 [2,1,6,3,5,4] => 8 [2,1,6,4,3,5] => 7 [2,1,6,4,5,3] => 7 [2,1,6,5,3,4] => 6 [2,1,6,5,4,3] => 6 [2,3,1,4,5,6] => 3 [2,3,1,4,6,5] => 3 [2,3,1,5,4,6] => 5 [2,3,1,5,6,4] => 3 [2,3,1,6,4,5] => 7 [2,3,1,6,5,4] => 6 [2,3,4,1,5,6] => 4 [2,3,4,1,6,5] => 6 [2,3,4,5,1,6] => 5 [2,3,4,5,6,1] => 6 [2,3,4,6,1,5] => 7 [2,3,4,6,5,1] => 3 [2,3,5,1,4,6] => 6 [2,3,5,1,6,4] => 7 [2,3,5,4,1,6] => 3 [2,3,5,4,6,1] => 7 [2,3,5,6,1,4] => 6 [2,3,5,6,4,1] => 3 [2,3,6,1,4,5] => 8 [2,3,6,1,5,4] => 8 [2,3,6,4,1,5] => 5 [2,3,6,4,5,1] => 5 [2,3,6,5,1,4] => 4 [2,3,6,5,4,1] => 4 [2,4,1,3,5,6] => 5 [2,4,1,3,6,5] => 5 [2,4,1,5,3,6] => 6 [2,4,1,5,6,3] => 5 [2,4,1,6,3,5] => 8 [2,4,1,6,5,3] => 6 [2,4,3,1,5,6] => 3 [2,4,3,1,6,5] => 6 [2,4,3,5,1,6] => 6 [2,4,3,5,6,1] => 6 [2,4,3,6,1,5] => 8 [2,4,3,6,5,1] => 4 [2,4,5,1,3,6] => 5 [2,4,5,1,6,3] => 8 [2,4,5,3,1,6] => 3 [2,4,5,3,6,1] => 8 [2,4,5,6,1,3] => 6 [2,4,5,6,3,1] => 4 [2,4,6,1,3,5] => 7 [2,4,6,1,5,3] => 7 [2,4,6,3,1,5] => 5 [2,4,6,3,5,1] => 6 [2,4,6,5,1,3] => 3 [2,4,6,5,3,1] => 3 [2,5,1,3,4,6] => 7 [2,5,1,3,6,4] => 7 [2,5,1,4,3,6] => 7 [2,5,1,4,6,3] => 7 [2,5,1,6,3,4] => 8 [2,5,1,6,4,3] => 7 [2,5,3,1,4,6] => 5 [2,5,3,1,6,4] => 7 [2,5,3,4,1,6] => 5 [2,5,3,4,6,1] => 7 [2,5,3,6,1,4] => 8 [2,5,3,6,4,1] => 5 [2,5,4,1,3,6] => 4 [2,5,4,1,6,3] => 8 [2,5,4,3,1,6] => 4 [2,5,4,3,6,1] => 8 [2,5,4,6,1,3] => 7 [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] => 4 [2,5,6,3,4,1] => 4 [2,5,6,4,1,3] => 3 [2,5,6,4,3,1] => 3 [2,6,1,3,4,5] => 9 [2,6,1,3,5,4] => 9 [2,6,1,4,3,5] => 9 [2,6,1,4,5,3] => 9 [2,6,1,5,3,4] => 9 [2,6,1,5,4,3] => 9 [2,6,3,1,4,5] => 7 [2,6,3,1,5,4] => 7 [2,6,3,4,1,5] => 7 [2,6,3,4,5,1] => 7 [2,6,3,5,1,4] => 7 [2,6,3,5,4,1] => 7 [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] => 6 [2,6,4,5,3,1] => 6 [2,6,5,1,3,4] => 5 [2,6,5,1,4,3] => 5 [2,6,5,3,1,4] => 5 [2,6,5,3,4,1] => 5 [2,6,5,4,1,3] => 5 [2,6,5,4,3,1] => 5 [3,1,2,4,5,6] => 1 [3,1,2,4,6,5] => 3 [3,1,2,5,4,6] => 4 [3,1,2,5,6,4] => 3 [3,1,2,6,4,5] => 6 [3,1,2,6,5,4] => 5 [3,1,4,2,5,6] => 5 [3,1,4,2,6,5] => 5 [3,1,4,5,2,6] => 4 [3,1,4,5,6,2] => 5 [3,1,4,6,2,5] => 6 [3,1,4,6,5,2] => 3 [3,1,5,2,4,6] => 7 [3,1,5,2,6,4] => 7 [3,1,5,4,2,6] => 5 [3,1,5,4,6,2] => 6 [3,1,5,6,2,4] => 5 [3,1,5,6,4,2] => 3 [3,1,6,2,4,5] => 9 [3,1,6,2,5,4] => 9 [3,1,6,4,2,5] => 7 [3,1,6,4,5,2] => 7 [3,1,6,5,2,4] => 6 [3,1,6,5,4,2] => 6 [3,2,1,4,5,6] => 2 [3,2,1,4,6,5] => 3 [3,2,1,5,4,6] => 5 [3,2,1,5,6,4] => 3 [3,2,1,6,4,5] => 7 [3,2,1,6,5,4] => 6 [3,2,4,1,5,6] => 5 [3,2,4,1,6,5] => 6 [3,2,4,5,1,6] => 5 [3,2,4,5,6,1] => 6 [3,2,4,6,1,5] => 7 [3,2,4,6,5,1] => 3 [3,2,5,1,4,6] => 7 [3,2,5,1,6,4] => 7 [3,2,5,4,1,6] => 4 [3,2,5,4,6,1] => 7 [3,2,5,6,1,4] => 6 [3,2,5,6,4,1] => 3 [3,2,6,1,4,5] => 9 [3,2,6,1,5,4] => 9 [3,2,6,4,1,5] => 6 [3,2,6,4,5,1] => 6 [3,2,6,5,1,4] => 5 [3,2,6,5,4,1] => 5 [3,4,1,2,5,6] => 4 [3,4,1,2,6,5] => 5 [3,4,1,5,2,6] => 7 [3,4,1,5,6,2] => 5 [3,4,1,6,2,5] => 9 [3,4,1,6,5,2] => 6 [3,4,2,1,5,6] => 3 [3,4,2,1,6,5] => 6 [3,4,2,5,1,6] => 7 [3,4,2,5,6,1] => 6 [3,4,2,6,1,5] => 9 [3,4,2,6,5,1] => 5 [3,4,5,1,2,6] => 5 [3,4,5,1,6,2] => 9 [3,4,5,2,1,6] => 4 [3,4,5,2,6,1] => 9 [3,4,5,6,1,2] => 6 [3,4,5,6,2,1] => 5 [3,4,6,1,2,5] => 7 [3,4,6,1,5,2] => 7 [3,4,6,2,1,5] => 6 [3,4,6,2,5,1] => 7 [3,4,6,5,1,2] => 3 [3,4,6,5,2,1] => 3 [3,5,1,2,4,6] => 6 [3,5,1,2,6,4] => 6 [3,5,1,4,2,6] => 6 [3,5,1,4,6,2] => 6 [3,5,1,6,2,4] => 9 [3,5,1,6,4,2] => 7 [3,5,2,1,4,6] => 5 [3,5,2,1,6,4] => 7 [3,5,2,4,1,6] => 5 [3,5,2,4,6,1] => 7 [3,5,2,6,1,4] => 9 [3,5,2,6,4,1] => 6 [3,5,4,1,2,6] => 3 [3,5,4,1,6,2] => 9 [3,5,4,2,1,6] => 3 [3,5,4,2,6,1] => 9 [3,5,4,6,1,2] => 7 [3,5,4,6,2,1] => 6 [3,5,6,1,2,4] => 6 [3,5,6,1,4,2] => 6 [3,5,6,2,1,4] => 5 [3,5,6,2,4,1] => 5 [3,5,6,4,1,2] => 3 [3,5,6,4,2,1] => 3 [3,6,1,2,4,5] => 8 [3,6,1,2,5,4] => 8 [3,6,1,4,2,5] => 8 [3,6,1,4,5,2] => 8 [3,6,1,5,2,4] => 8 [3,6,1,5,4,2] => 8 [3,6,2,1,4,5] => 7 [3,6,2,1,5,4] => 7 [3,6,2,4,1,5] => 7 [3,6,2,4,5,1] => 7 [3,6,2,5,1,4] => 7 [3,6,2,5,4,1] => 7 [3,6,4,1,2,5] => 5 [3,6,4,1,5,2] => 7 [3,6,4,2,1,5] => 5 [3,6,4,2,5,1] => 7 [3,6,4,5,1,2] => 5 [3,6,4,5,2,1] => 5 [3,6,5,1,2,4] => 4 [3,6,5,1,4,2] => 5 [3,6,5,2,1,4] => 4 [3,6,5,2,4,1] => 5 [3,6,5,4,1,2] => 4 [3,6,5,4,2,1] => 4 [4,1,2,3,5,6] => 1 [4,1,2,3,6,5] => 4 [4,1,2,5,3,6] => 5 [4,1,2,5,6,3] => 4 [4,1,2,6,3,5] => 7 [4,1,2,6,5,3] => 5 [4,1,3,2,5,6] => 3 [4,1,3,2,6,5] => 5 [4,1,3,5,2,6] => 5 [4,1,3,5,6,2] => 5 [4,1,3,6,2,5] => 7 [4,1,3,6,5,2] => 4 [4,1,5,2,3,6] => 7 [4,1,5,2,6,3] => 7 [4,1,5,3,2,6] => 6 [4,1,5,3,6,2] => 7 [4,1,5,6,2,3] => 5 [4,1,5,6,3,2] => 4 [4,1,6,2,3,5] => 9 [4,1,6,2,5,3] => 9 [4,1,6,3,2,5] => 8 [4,1,6,3,5,2] => 8 [4,1,6,5,2,3] => 6 [4,1,6,5,3,2] => 6 [4,2,1,3,5,6] => 1 [4,2,1,3,6,5] => 4 [4,2,1,5,3,6] => 6 [4,2,1,5,6,3] => 4 [4,2,1,6,3,5] => 8 [4,2,1,6,5,3] => 6 [4,2,3,1,5,6] => 3 [4,2,3,1,6,5] => 6 [4,2,3,5,1,6] => 6 [4,2,3,5,6,1] => 6 [4,2,3,6,1,5] => 8 [4,2,3,6,5,1] => 4 [4,2,5,1,3,6] => 7 [4,2,5,1,6,3] => 8 [4,2,5,3,1,6] => 5 [4,2,5,3,6,1] => 8 [4,2,5,6,1,3] => 6 [4,2,5,6,3,1] => 4 [4,2,6,1,3,5] => 9 [4,2,6,1,5,3] => 9 [4,2,6,3,1,5] => 7 [4,2,6,3,5,1] => 7 [4,2,6,5,1,3] => 5 [4,2,6,5,3,1] => 5 [4,3,1,2,5,6] => 2 [4,3,1,2,6,5] => 5 [4,3,1,5,2,6] => 7 [4,3,1,5,6,2] => 5 [4,3,1,6,2,5] => 9 [4,3,1,6,5,2] => 6 [4,3,2,1,5,6] => 3 [4,3,2,1,6,5] => 6 [4,3,2,5,1,6] => 7 [4,3,2,5,6,1] => 6 [4,3,2,6,1,5] => 9 [4,3,2,6,5,1] => 5 [4,3,5,1,2,6] => 6 [4,3,5,1,6,2] => 9 [4,3,5,2,1,6] => 5 [4,3,5,2,6,1] => 9 [4,3,5,6,1,2] => 6 [4,3,5,6,2,1] => 5 [4,3,6,1,2,5] => 8 [4,3,6,1,5,2] => 8 [4,3,6,2,1,5] => 7 [4,3,6,2,5,1] => 7 [4,3,6,5,1,2] => 4 [4,3,6,5,2,1] => 4 [4,5,1,2,3,6] => 5 [4,5,1,2,6,3] => 7 [4,5,1,3,2,6] => 5 [4,5,1,3,6,2] => 7 [4,5,1,6,2,3] => 9 [4,5,1,6,3,2] => 8 [4,5,2,1,3,6] => 4 [4,5,2,1,6,3] => 8 [4,5,2,3,1,6] => 4 [4,5,2,3,6,1] => 8 [4,5,2,6,1,3] => 9 [4,5,2,6,3,1] => 7 [4,5,3,1,2,6] => 3 [4,5,3,1,6,2] => 9 [4,5,3,2,1,6] => 3 [4,5,3,2,6,1] => 9 [4,5,3,6,1,2] => 8 [4,5,3,6,2,1] => 7 [4,5,6,1,2,3] => 6 [4,5,6,1,3,2] => 6 [4,5,6,2,1,3] => 5 [4,5,6,2,3,1] => 5 [4,5,6,3,1,2] => 4 [4,5,6,3,2,1] => 4 [4,6,1,2,3,5] => 7 [4,6,1,2,5,3] => 7 [4,6,1,3,2,5] => 7 [4,6,1,3,5,2] => 7 [4,6,1,5,2,3] => 7 [4,6,1,5,3,2] => 7 [4,6,2,1,3,5] => 6 [4,6,2,1,5,3] => 6 [4,6,2,3,1,5] => 6 [4,6,2,3,5,1] => 6 [4,6,2,5,1,3] => 7 [4,6,2,5,3,1] => 6 [4,6,3,1,2,5] => 5 [4,6,3,1,5,2] => 7 [4,6,3,2,1,5] => 5 [4,6,3,2,5,1] => 7 [4,6,3,5,1,2] => 6 [4,6,3,5,2,1] => 5 [4,6,5,1,2,3] => 3 [4,6,5,1,3,2] => 3 [4,6,5,2,1,3] => 3 [4,6,5,2,3,1] => 3 [4,6,5,3,1,2] => 3 [4,6,5,3,2,1] => 3 [5,1,2,3,4,6] => 0 [5,1,2,3,6,4] => 5 [5,1,2,4,3,6] => 3 [5,1,2,4,6,3] => 5 [5,1,2,6,3,4] => 7 [5,1,2,6,4,3] => 6 [5,1,3,2,4,6] => 3 [5,1,3,2,6,4] => 6 [5,1,3,4,2,6] => 3 [5,1,3,4,6,2] => 6 [5,1,3,6,2,4] => 7 [5,1,3,6,4,2] => 5 [5,1,4,2,3,6] => 5 [5,1,4,2,6,3] => 7 [5,1,4,3,2,6] => 4 [5,1,4,3,6,2] => 7 [5,1,4,6,2,3] => 6 [5,1,4,6,3,2] => 5 [5,1,6,2,3,4] => 9 [5,1,6,2,4,3] => 9 [5,1,6,3,2,4] => 8 [5,1,6,3,4,2] => 8 [5,1,6,4,2,3] => 7 [5,1,6,4,3,2] => 7 [5,2,1,3,4,6] => 1 [5,2,1,3,6,4] => 5 [5,2,1,4,3,6] => 4 [5,2,1,4,6,3] => 5 [5,2,1,6,3,4] => 8 [5,2,1,6,4,3] => 7 [5,2,3,1,4,6] => 3 [5,2,3,1,6,4] => 7 [5,2,3,4,1,6] => 4 [5,2,3,4,6,1] => 7 [5,2,3,6,1,4] => 8 [5,2,3,6,4,1] => 5 [5,2,4,1,3,6] => 5 [5,2,4,1,6,3] => 8 [5,2,4,3,1,6] => 3 [5,2,4,3,6,1] => 8 [5,2,4,6,1,3] => 7 [5,2,4,6,3,1] => 5 [5,2,6,1,3,4] => 9 [5,2,6,1,4,3] => 9 [5,2,6,3,1,4] => 7 [5,2,6,3,4,1] => 7 [5,2,6,4,1,3] => 6 [5,2,6,4,3,1] => 6 [5,3,1,2,4,6] => 0 [5,3,1,2,6,4] => 6 [5,3,1,4,2,6] => 5 [5,3,1,4,6,2] => 6 [5,3,1,6,2,4] => 9 [5,3,1,6,4,2] => 7 [5,3,2,1,4,6] => 1 [5,3,2,1,6,4] => 7 [5,3,2,4,1,6] => 5 [5,3,2,4,6,1] => 7 [5,3,2,6,1,4] => 9 [5,3,2,6,4,1] => 6 [5,3,4,1,2,6] => 4 [5,3,4,1,6,2] => 9 [5,3,4,2,1,6] => 3 [5,3,4,2,6,1] => 9 [5,3,4,6,1,2] => 7 [5,3,4,6,2,1] => 6 [5,3,6,1,2,4] => 8 [5,3,6,1,4,2] => 8 [5,3,6,2,1,4] => 7 [5,3,6,2,4,1] => 7 [5,3,6,4,1,2] => 5 [5,3,6,4,2,1] => 5 [5,4,1,2,3,6] => 2 [5,4,1,2,6,3] => 7 [5,4,1,3,2,6] => 3 [5,4,1,3,6,2] => 7 [5,4,1,6,2,3] => 9 [5,4,1,6,3,2] => 8 [5,4,2,1,3,6] => 1 [5,4,2,1,6,3] => 8 [5,4,2,3,1,6] => 3 [5,4,2,3,6,1] => 8 [5,4,2,6,1,3] => 9 [5,4,2,6,3,1] => 7 [5,4,3,1,2,6] => 1 [5,4,3,1,6,2] => 9 [5,4,3,2,1,6] => 0 [5,4,3,2,6,1] => 9 [5,4,3,6,1,2] => 8 [5,4,3,6,2,1] => 7 [5,4,6,1,2,3] => 7 [5,4,6,1,3,2] => 7 [5,4,6,2,1,3] => 6 [5,4,6,2,3,1] => 6 [5,4,6,3,1,2] => 5 [5,4,6,3,2,1] => 5 [5,6,1,2,3,4] => 6 [5,6,1,2,4,3] => 6 [5,6,1,3,2,4] => 6 [5,6,1,3,4,2] => 6 [5,6,1,4,2,3] => 6 [5,6,1,4,3,2] => 6 [5,6,2,1,3,4] => 5 [5,6,2,1,4,3] => 5 [5,6,2,3,1,4] => 5 [5,6,2,3,4,1] => 5 [5,6,2,4,1,3] => 5 [5,6,2,4,3,1] => 5 [5,6,3,1,2,4] => 4 [5,6,3,1,4,2] => 5 [5,6,3,2,1,4] => 4 [5,6,3,2,4,1] => 5 [5,6,3,4,1,2] => 4 [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] => 3 [5,6,4,2,3,1] => 3 [5,6,4,3,1,2] => 3 [5,6,4,3,2,1] => 3 [6,1,2,3,4,5] => 0 [6,1,2,3,5,4] => 3 [6,1,2,4,3,5] => 3 [6,1,2,4,5,3] => 3 [6,1,2,5,3,4] => 5 [6,1,2,5,4,3] => 4 [6,1,3,2,4,5] => 3 [6,1,3,2,5,4] => 4 [6,1,3,4,2,5] => 3 [6,1,3,4,5,2] => 4 [6,1,3,5,2,4] => 5 [6,1,3,5,4,2] => 3 [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] => 5 [6,1,4,5,2,3] => 4 [6,1,4,5,3,2] => 3 [6,1,5,2,3,4] => 7 [6,1,5,2,4,3] => 7 [6,1,5,3,2,4] => 6 [6,1,5,3,4,2] => 6 [6,1,5,4,2,3] => 5 [6,1,5,4,3,2] => 5 [6,2,1,3,4,5] => 1 [6,2,1,3,5,4] => 3 [6,2,1,4,3,5] => 4 [6,2,1,4,5,3] => 3 [6,2,1,5,3,4] => 6 [6,2,1,5,4,3] => 5 [6,2,3,1,4,5] => 3 [6,2,3,1,5,4] => 5 [6,2,3,4,1,5] => 4 [6,2,3,4,5,1] => 5 [6,2,3,5,1,4] => 6 [6,2,3,5,4,1] => 3 [6,2,4,1,3,5] => 5 [6,2,4,1,5,3] => 6 [6,2,4,3,1,5] => 3 [6,2,4,3,5,1] => 6 [6,2,4,5,1,3] => 5 [6,2,4,5,3,1] => 3 [6,2,5,1,3,4] => 7 [6,2,5,1,4,3] => 7 [6,2,5,3,1,4] => 5 [6,2,5,3,4,1] => 5 [6,2,5,4,1,3] => 4 [6,2,5,4,3,1] => 4 [6,3,1,2,4,5] => 1 [6,3,1,2,5,4] => 4 [6,3,1,4,2,5] => 5 [6,3,1,4,5,2] => 4 [6,3,1,5,2,4] => 7 [6,3,1,5,4,2] => 5 [6,3,2,1,4,5] => 2 [6,3,2,1,5,4] => 5 [6,3,2,4,1,5] => 5 [6,3,2,4,5,1] => 5 [6,3,2,5,1,4] => 7 [6,3,2,5,4,1] => 4 [6,3,4,1,2,5] => 4 [6,3,4,1,5,2] => 7 [6,3,4,2,1,5] => 3 [6,3,4,2,5,1] => 7 [6,3,4,5,1,2] => 5 [6,3,4,5,2,1] => 4 [6,3,5,1,2,4] => 6 [6,3,5,1,4,2] => 6 [6,3,5,2,1,4] => 5 [6,3,5,2,4,1] => 5 [6,3,5,4,1,2] => 3 [6,3,5,4,2,1] => 3 [6,4,1,2,3,5] => 1 [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] => 7 [6,4,1,5,3,2] => 6 [6,4,2,1,3,5] => 0 [6,4,2,1,5,3] => 6 [6,4,2,3,1,5] => 3 [6,4,2,3,5,1] => 6 [6,4,2,5,1,3] => 7 [6,4,2,5,3,1] => 5 [6,4,3,1,2,5] => 1 [6,4,3,1,5,2] => 7 [6,4,3,2,1,5] => 0 [6,4,3,2,5,1] => 7 [6,4,3,5,1,2] => 6 [6,4,3,5,2,1] => 5 [6,4,5,1,2,3] => 5 [6,4,5,1,3,2] => 5 [6,4,5,2,1,3] => 4 [6,4,5,2,3,1] => 4 [6,4,5,3,1,2] => 3 [6,4,5,3,2,1] => 3 [6,5,1,2,3,4] => 3 [6,5,1,2,4,3] => 3 [6,5,1,3,2,4] => 3 [6,5,1,3,4,2] => 3 [6,5,1,4,2,3] => 5 [6,5,1,4,3,2] => 4 [6,5,2,1,3,4] => 2 [6,5,2,1,4,3] => 4 [6,5,2,3,1,4] => 3 [6,5,2,3,4,1] => 4 [6,5,2,4,1,3] => 5 [6,5,2,4,3,1] => 3 [6,5,3,1,2,4] => 1 [6,5,3,1,4,2] => 5 [6,5,3,2,1,4] => 1 [6,5,3,2,4,1] => 5 [6,5,3,4,1,2] => 4 [6,5,3,4,2,1] => 3 [6,5,4,1,2,3] => 2 [6,5,4,1,3,2] => 3 [6,5,4,2,1,3] => 1 [6,5,4,2,3,1] => 3 [6,5,4,3,1,2] => 1 [6,5,4,3,2,1] => 0 [1,2,3,4,5,6,7] => 0 [1,2,3,4,5,7,6] => 3 [1,2,3,4,6,5,7] => 3 [1,2,3,4,6,7,5] => 3 [1,2,3,4,7,5,6] => 5 [1,2,3,4,7,6,5] => 4 [1,2,3,5,4,6,7] => 3 [1,2,3,5,4,7,6] => 4 [1,2,3,5,6,4,7] => 3 [1,2,3,5,6,7,4] => 4 [1,2,3,5,7,4,6] => 5 [1,2,3,5,7,6,4] => 3 [1,2,3,6,4,5,7] => 5 [1,2,3,6,4,7,5] => 5 [1,2,3,6,5,4,7] => 4 [1,2,3,6,5,7,4] => 5 [1,2,3,6,7,4,5] => 4 [1,2,3,6,7,5,4] => 3 [1,2,3,7,4,5,6] => 7 [1,2,3,7,4,6,5] => 7 [1,2,3,7,5,4,6] => 6 [1,2,3,7,5,6,4] => 6 [1,2,3,7,6,4,5] => 5 [1,2,3,7,6,5,4] => 5 [1,2,4,3,5,6,7] => 3 [1,2,4,3,5,7,6] => 3 [1,2,4,3,6,5,7] => 4 [1,2,4,3,6,7,5] => 3 [1,2,4,3,7,5,6] => 6 [1,2,4,3,7,6,5] => 5 [1,2,4,5,3,6,7] => 3 [1,2,4,5,3,7,6] => 5 [1,2,4,5,6,3,7] => 4 [1,2,4,5,6,7,3] => 5 [1,2,4,5,7,3,6] => 6 [1,2,4,5,7,6,3] => 3 [1,2,4,6,3,5,7] => 5 [1,2,4,6,3,7,5] => 6 [1,2,4,6,5,3,7] => 3 [1,2,4,6,5,7,3] => 6 [1,2,4,6,7,3,5] => 5 [1,2,4,6,7,5,3] => 3 [1,2,4,7,3,5,6] => 7 [1,2,4,7,3,6,5] => 7 [1,2,4,7,5,3,6] => 5 [1,2,4,7,5,6,3] => 5 [1,2,4,7,6,3,5] => 4 [1,2,4,7,6,5,3] => 4 [1,2,5,3,4,6,7] => 5 [1,2,5,3,4,7,6] => 5 [1,2,5,3,6,4,7] => 5 [1,2,5,3,6,7,4] => 5 [1,2,5,3,7,4,6] => 7 [1,2,5,3,7,6,4] => 5 [1,2,5,4,3,6,7] => 4 [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] => 7 [1,2,5,4,7,6,3] => 4 [1,2,5,6,3,4,7] => 4 [1,2,5,6,3,7,4] => 7 [1,2,5,6,4,3,7] => 3 [1,2,5,6,4,7,3] => 7 [1,2,5,6,7,3,4] => 5 [1,2,5,6,7,4,3] => 4 [1,2,5,7,3,4,6] => 6 [1,2,5,7,3,6,4] => 6 [1,2,5,7,4,3,6] => 5 [1,2,5,7,4,6,3] => 5 [1,2,5,7,6,3,4] => 3 [1,2,5,7,6,4,3] => 3 [1,2,6,3,4,5,7] => 7 [1,2,6,3,4,7,5] => 7 [1,2,6,3,5,4,7] => 7 [1,2,6,3,5,7,4] => 7 [1,2,6,3,7,4,5] => 7 [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] => 6 [1,2,6,4,5,7,3] => 6 [1,2,6,4,7,3,5] => 7 [1,2,6,4,7,5,3] => 6 [1,2,6,5,3,4,7] => 5 [1,2,6,5,3,7,4] => 7 [1,2,6,5,4,3,7] => 5 [1,2,6,5,4,7,3] => 7 [1,2,6,5,7,3,4] => 6 [1,2,6,5,7,4,3] => 5 [1,2,6,7,3,4,5] => 5 [1,2,6,7,3,5,4] => 5 [1,2,6,7,4,3,5] => 4 [1,2,6,7,4,5,3] => 4 [1,2,6,7,5,3,4] => 3 [1,2,6,7,5,4,3] => 3 [1,2,7,3,4,5,6] => 9 [1,2,7,3,4,6,5] => 9 [1,2,7,3,5,4,6] => 9 [1,2,7,3,5,6,4] => 9 [1,2,7,3,6,4,5] => 9 [1,2,7,3,6,5,4] => 9 [1,2,7,4,3,5,6] => 8 [1,2,7,4,3,6,5] => 8 [1,2,7,4,5,3,6] => 8 [1,2,7,4,5,6,3] => 8 [1,2,7,4,6,3,5] => 8 [1,2,7,4,6,5,3] => 8 [1,2,7,5,3,4,6] => 7 [1,2,7,5,3,6,4] => 7 [1,2,7,5,4,3,6] => 7 [1,2,7,5,4,6,3] => 7 [1,2,7,5,6,3,4] => 7 [1,2,7,5,6,4,3] => 7 [1,2,7,6,3,4,5] => 6 [1,2,7,6,3,5,4] => 6 [1,2,7,6,4,3,5] => 6 [1,2,7,6,4,5,3] => 6 [1,2,7,6,5,3,4] => 6 [1,2,7,6,5,4,3] => 6 [1,3,2,4,5,6,7] => 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] => 5 [1,3,2,4,7,6,5] => 4 [1,3,2,5,4,6,7] => 4 [1,3,2,5,4,7,6] => 4 [1,3,2,5,6,4,7] => 3 [1,3,2,5,6,7,4] => 4 [1,3,2,5,7,4,6] => 5 [1,3,2,5,7,6,4] => 3 [1,3,2,6,4,5,7] => 6 [1,3,2,6,4,7,5] => 6 [1,3,2,6,5,4,7] => 5 [1,3,2,6,5,7,4] => 5 [1,3,2,6,7,4,5] => 4 [1,3,2,6,7,5,4] => 3 [1,3,2,7,4,5,6] => 8 [1,3,2,7,4,6,5] => 8 [1,3,2,7,5,4,6] => 7 [1,3,2,7,5,6,4] => 7 [1,3,2,7,6,4,5] => 6 [1,3,2,7,6,5,4] => 6 [1,3,4,2,5,6,7] => 3 [1,3,4,2,5,7,6] => 3 [1,3,4,2,6,5,7] => 5 [1,3,4,2,6,7,5] => 3 [1,3,4,2,7,5,6] => 7 [1,3,4,2,7,6,5] => 6 [1,3,4,5,2,6,7] => 4 [1,3,4,5,2,7,6] => 6 [1,3,4,5,6,2,7] => 5 [1,3,4,5,6,7,2] => 6 [1,3,4,5,7,2,6] => 7 [1,3,4,5,7,6,2] => 3 [1,3,4,6,2,5,7] => 6 [1,3,4,6,2,7,5] => 7 [1,3,4,6,5,2,7] => 3 [1,3,4,6,5,7,2] => 7 [1,3,4,6,7,2,5] => 6 [1,3,4,6,7,5,2] => 3 [1,3,4,7,2,5,6] => 8 [1,3,4,7,2,6,5] => 8 [1,3,4,7,5,2,6] => 5 [1,3,4,7,5,6,2] => 5 [1,3,4,7,6,2,5] => 4 [1,3,4,7,6,5,2] => 4 [1,3,5,2,4,6,7] => 5 [1,3,5,2,4,7,6] => 5 [1,3,5,2,6,4,7] => 6 [1,3,5,2,6,7,4] => 5 [1,3,5,2,7,4,6] => 8 [1,3,5,2,7,6,4] => 6 [1,3,5,4,2,6,7] => 3 [1,3,5,4,2,7,6] => 6 [1,3,5,4,6,2,7] => 6 [1,3,5,4,6,7,2] => 6 [1,3,5,4,7,2,6] => 8 [1,3,5,4,7,6,2] => 4 [1,3,5,6,2,4,7] => 5 [1,3,5,6,2,7,4] => 8 [1,3,5,6,4,2,7] => 3 [1,3,5,6,4,7,2] => 8 [1,3,5,6,7,2,4] => 6 [1,3,5,6,7,4,2] => 4 [1,3,5,7,2,4,6] => 7 [1,3,5,7,2,6,4] => 7 [1,3,5,7,4,2,6] => 5 [1,3,5,7,4,6,2] => 6 [1,3,5,7,6,2,4] => 3 [1,3,5,7,6,4,2] => 3 [1,3,6,2,4,5,7] => 7 [1,3,6,2,4,7,5] => 7 [1,3,6,2,5,4,7] => 7 [1,3,6,2,5,7,4] => 7 [1,3,6,2,7,4,5] => 8 [1,3,6,2,7,5,4] => 7 [1,3,6,4,2,5,7] => 5 [1,3,6,4,2,7,5] => 7 [1,3,6,4,5,2,7] => 5 [1,3,6,4,5,7,2] => 7 [1,3,6,4,7,2,5] => 8 [1,3,6,4,7,5,2] => 5 [1,3,6,5,2,4,7] => 4 [1,3,6,5,2,7,4] => 8 [1,3,6,5,4,2,7] => 4 [1,3,6,5,4,7,2] => 8 [1,3,6,5,7,2,4] => 7 [1,3,6,5,7,4,2] => 5 [1,3,6,7,2,4,5] => 6 [1,3,6,7,2,5,4] => 6 [1,3,6,7,4,2,5] => 4 [1,3,6,7,4,5,2] => 4 [1,3,6,7,5,2,4] => 3 [1,3,6,7,5,4,2] => 3 [1,3,7,2,4,5,6] => 9 [1,3,7,2,4,6,5] => 9 [1,3,7,2,5,4,6] => 9 [1,3,7,2,5,6,4] => 9 [1,3,7,2,6,4,5] => 9 [1,3,7,2,6,5,4] => 9 [1,3,7,4,2,5,6] => 7 [1,3,7,4,2,6,5] => 7 [1,3,7,4,5,2,6] => 7 [1,3,7,4,5,6,2] => 7 [1,3,7,4,6,2,5] => 7 [1,3,7,4,6,5,2] => 7 [1,3,7,5,2,4,6] => 6 [1,3,7,5,2,6,4] => 6 [1,3,7,5,4,2,6] => 6 [1,3,7,5,4,6,2] => 6 [1,3,7,5,6,2,4] => 6 [1,3,7,5,6,4,2] => 6 [1,3,7,6,2,4,5] => 5 [1,3,7,6,2,5,4] => 5 [1,3,7,6,4,2,5] => 5 [1,3,7,6,4,5,2] => 5 [1,3,7,6,5,2,4] => 5 [1,3,7,6,5,4,2] => 5 [1,4,2,3,5,6,7] => 5 [1,4,2,3,5,7,6] => 5 [1,4,2,3,6,5,7] => 5 [1,4,2,3,6,7,5] => 5 [1,4,2,3,7,5,6] => 6 [1,4,2,3,7,6,5] => 5 [1,4,2,5,3,6,7] => 5 [1,4,2,5,3,7,6] => 5 [1,4,2,5,6,3,7] => 5 [1,4,2,5,6,7,3] => 5 [1,4,2,5,7,3,6] => 6 [1,4,2,5,7,6,3] => 5 [1,4,2,6,3,5,7] => 7 [1,4,2,6,3,7,5] => 7 [1,4,2,6,5,3,7] => 5 [1,4,2,6,5,7,3] => 6 [1,4,2,6,7,3,5] => 5 [1,4,2,6,7,5,3] => 5 [1,4,2,7,3,5,6] => 9 [1,4,2,7,3,6,5] => 9 [1,4,2,7,5,3,6] => 7 [1,4,2,7,5,6,3] => 7 [1,4,2,7,6,3,5] => 6 [1,4,2,7,6,5,3] => 6 [1,4,3,2,5,6,7] => 4 [1,4,3,2,5,7,6] => 4 [1,4,3,2,6,5,7] => 5 [1,4,3,2,6,7,5] => 4 [1,4,3,2,7,5,6] => 7 [1,4,3,2,7,6,5] => 6 [1,4,3,5,2,6,7] => 5 [1,4,3,5,2,7,6] => 6 [1,4,3,5,6,2,7] => 5 [1,4,3,5,6,7,2] => 6 [1,4,3,5,7,2,6] => 7 [1,4,3,5,7,6,2] => 4 [1,4,3,6,2,5,7] => 7 [1,4,3,6,2,7,5] => 7 [1,4,3,6,5,2,7] => 4 [1,4,3,6,5,7,2] => 7 [1,4,3,6,7,2,5] => 6 [1,4,3,6,7,5,2] => 4 [1,4,3,7,2,5,6] => 9 [1,4,3,7,2,6,5] => 9 [1,4,3,7,5,2,6] => 6 [1,4,3,7,5,6,2] => 6 [1,4,3,7,6,2,5] => 5 [1,4,3,7,6,5,2] => 5 [1,4,5,2,3,6,7] => 4 [1,4,5,2,3,7,6] => 5 [1,4,5,2,6,3,7] => 7 [1,4,5,2,6,7,3] => 5 [1,4,5,2,7,3,6] => 9 [1,4,5,2,7,6,3] => 6 [1,4,5,3,2,6,7] => 3 [1,4,5,3,2,7,6] => 6 [1,4,5,3,6,2,7] => 7 [1,4,5,3,6,7,2] => 6 [1,4,5,3,7,2,6] => 9 [1,4,5,3,7,6,2] => 5 [1,4,5,6,2,3,7] => 5 [1,4,5,6,2,7,3] => 9 [1,4,5,6,3,2,7] => 4 [1,4,5,6,3,7,2] => 9 [1,4,5,6,7,2,3] => 6 [1,4,5,6,7,3,2] => 5 [1,4,5,7,2,3,6] => 7 [1,4,5,7,2,6,3] => 7 [1,4,5,7,3,2,6] => 6 [1,4,5,7,3,6,2] => 7 [1,4,5,7,6,2,3] => 3 [1,4,5,7,6,3,2] => 3 [1,4,6,2,3,5,7] => 6 [1,4,6,2,3,7,5] => 6 [1,4,6,2,5,3,7] => 6 [1,4,6,2,5,7,3] => 6 [1,4,6,2,7,3,5] => 9 [1,4,6,2,7,5,3] => 7 [1,4,6,3,2,5,7] => 5 [1,4,6,3,2,7,5] => 7 [1,4,6,3,5,2,7] => 5 [1,4,6,3,5,7,2] => 7 [1,4,6,3,7,2,5] => 9 [1,4,6,3,7,5,2] => 6 [1,4,6,5,2,3,7] => 3 [1,4,6,5,2,7,3] => 9 [1,4,6,5,3,2,7] => 3 [1,4,6,5,3,7,2] => 9 ----------------------------------------------------------------------------- Created: Oct 30, 2014 at 07:58 by Christian Stump ----------------------------------------------------------------------------- Last Updated: May 29, 2015 at 17:23 by Martin Rubey