***************************************************************************** * 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: St000670 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The reversal length of a permutation. A reversal in a permutation $\pi = [\pi_1,\ldots,\pi_n]$ is a reversal of a subsequence of the form $\operatorname{reversal}_{i,j}(\pi) = [\pi_1,\ldots,\pi_{i-1},\pi_j,\pi_{j-1},\ldots,\pi_{i+1},\pi_i,\pi_{j+1},\ldots,\pi_n]$ for $1 \leq i < j \leq n$. This statistic is then given by the minimal number of reversals needed to sort a permutation. The reversal distance between two permutations plays an important role in studying DNA structures. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def children(pi): pi = list(pi) n = len(pi) for j in range(n): for i in range(j): yield Permutation(pi[:i]+list(reversed(pi[i:j+1]))+pi[j+1:]) @cached_function def statistic_classes(n): A = RecursivelyEnumeratedSet([Permutation([1..n])], children,structure='symmetric') return list(A.graded_component_iterator()) def statistic(pi): comps = statistic_classes(len(pi)) for rank,comp in enumerate(comps): if pi in comp: return rank ----------------------------------------------------------------------------- Statistic values: [1] => 0 [1,2] => 0 [2,1] => 1 [1,2,3] => 0 [1,3,2] => 1 [2,1,3] => 1 [2,3,1] => 2 [3,1,2] => 2 [3,2,1] => 1 [1,2,3,4] => 0 [1,2,4,3] => 1 [1,3,2,4] => 1 [1,3,4,2] => 2 [1,4,2,3] => 2 [1,4,3,2] => 1 [2,1,3,4] => 1 [2,1,4,3] => 2 [2,3,1,4] => 2 [2,3,4,1] => 2 [2,4,1,3] => 3 [2,4,3,1] => 2 [3,1,2,4] => 2 [3,1,4,2] => 3 [3,2,1,4] => 1 [3,2,4,1] => 2 [3,4,1,2] => 2 [3,4,2,1] => 2 [4,1,2,3] => 2 [4,1,3,2] => 2 [4,2,1,3] => 2 [4,2,3,1] => 2 [4,3,1,2] => 2 [4,3,2,1] => 1 [1,2,3,4,5] => 0 [1,2,3,5,4] => 1 [1,2,4,3,5] => 1 [1,2,4,5,3] => 2 [1,2,5,3,4] => 2 [1,2,5,4,3] => 1 [1,3,2,4,5] => 1 [1,3,2,5,4] => 2 [1,3,4,2,5] => 2 [1,3,4,5,2] => 2 [1,3,5,2,4] => 3 [1,3,5,4,2] => 2 [1,4,2,3,5] => 2 [1,4,2,5,3] => 3 [1,4,3,2,5] => 1 [1,4,3,5,2] => 2 [1,4,5,2,3] => 2 [1,4,5,3,2] => 2 [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] => 1 [2,1,3,4,5] => 1 [2,1,3,5,4] => 2 [2,1,4,3,5] => 2 [2,1,4,5,3] => 3 [2,1,5,3,4] => 3 [2,1,5,4,3] => 2 [2,3,1,4,5] => 2 [2,3,1,5,4] => 3 [2,3,4,1,5] => 2 [2,3,4,5,1] => 2 [2,3,5,1,4] => 3 [2,3,5,4,1] => 3 [2,4,1,3,5] => 3 [2,4,1,5,3] => 4 [2,4,3,1,5] => 2 [2,4,3,5,1] => 3 [2,4,5,1,3] => 3 [2,4,5,3,1] => 3 [2,5,1,3,4] => 3 [2,5,1,4,3] => 3 [2,5,3,1,4] => 3 [2,5,3,4,1] => 3 [2,5,4,1,3] => 3 [2,5,4,3,1] => 2 [3,1,2,4,5] => 2 [3,1,2,5,4] => 3 [3,1,4,2,5] => 3 [3,1,4,5,2] => 3 [3,1,5,2,4] => 4 [3,1,5,4,2] => 3 [3,2,1,4,5] => 1 [3,2,1,5,4] => 2 [3,2,4,1,5] => 2 [3,2,4,5,1] => 3 [3,2,5,1,4] => 3 [3,2,5,4,1] => 2 [3,4,1,2,5] => 2 [3,4,1,5,2] => 3 [3,4,2,1,5] => 2 [3,4,2,5,1] => 3 [3,4,5,1,2] => 2 [3,4,5,2,1] => 2 [3,5,1,2,4] => 3 [3,5,1,4,2] => 3 [3,5,2,1,4] => 3 [3,5,2,4,1] => 3 [3,5,4,1,2] => 2 [3,5,4,2,1] => 3 [4,1,2,3,5] => 2 [4,1,2,5,3] => 3 [4,1,3,2,5] => 2 [4,1,3,5,2] => 3 [4,1,5,2,3] => 3 [4,1,5,3,2] => 3 [4,2,1,3,5] => 2 [4,2,1,5,3] => 3 [4,2,3,1,5] => 2 [4,2,3,5,1] => 3 [4,2,5,1,3] => 3 [4,2,5,3,1] => 3 [4,3,1,2,5] => 2 [4,3,1,5,2] => 3 [4,3,2,1,5] => 1 [4,3,2,5,1] => 2 [4,3,5,1,2] => 2 [4,3,5,2,1] => 3 [4,5,1,2,3] => 2 [4,5,1,3,2] => 2 [4,5,2,1,3] => 2 [4,5,2,3,1] => 3 [4,5,3,1,2] => 3 [4,5,3,2,1] => 2 [5,1,2,3,4] => 2 [5,1,2,4,3] => 3 [5,1,3,2,4] => 3 [5,1,3,4,2] => 3 [5,1,4,2,3] => 3 [5,1,4,3,2] => 2 [5,2,1,3,4] => 3 [5,2,1,4,3] => 2 [5,2,3,1,4] => 3 [5,2,3,4,1] => 2 [5,2,4,1,3] => 3 [5,2,4,3,1] => 3 [5,3,1,2,4] => 3 [5,3,1,4,2] => 3 [5,3,2,1,4] => 2 [5,3,2,4,1] => 3 [5,3,4,1,2] => 3 [5,3,4,2,1] => 2 [5,4,1,2,3] => 2 [5,4,1,3,2] => 3 [5,4,2,1,3] => 3 [5,4,2,3,1] => 2 [5,4,3,1,2] => 2 [5,4,3,2,1] => 1 [1,2,3,4,5,6] => 0 [1,2,3,4,6,5] => 1 [1,2,3,5,4,6] => 1 [1,2,3,5,6,4] => 2 [1,2,3,6,4,5] => 2 [1,2,3,6,5,4] => 1 [1,2,4,3,5,6] => 1 [1,2,4,3,6,5] => 2 [1,2,4,5,3,6] => 2 [1,2,4,5,6,3] => 2 [1,2,4,6,3,5] => 3 [1,2,4,6,5,3] => 2 [1,2,5,3,4,6] => 2 [1,2,5,3,6,4] => 3 [1,2,5,4,3,6] => 1 [1,2,5,4,6,3] => 2 [1,2,5,6,3,4] => 2 [1,2,5,6,4,3] => 2 [1,2,6,3,4,5] => 2 [1,2,6,3,5,4] => 2 [1,2,6,4,3,5] => 2 [1,2,6,4,5,3] => 2 [1,2,6,5,3,4] => 2 [1,2,6,5,4,3] => 1 [1,3,2,4,5,6] => 1 [1,3,2,4,6,5] => 2 [1,3,2,5,4,6] => 2 [1,3,2,5,6,4] => 3 [1,3,2,6,4,5] => 3 [1,3,2,6,5,4] => 2 [1,3,4,2,5,6] => 2 [1,3,4,2,6,5] => 3 [1,3,4,5,2,6] => 2 [1,3,4,5,6,2] => 2 [1,3,4,6,2,5] => 3 [1,3,4,6,5,2] => 3 [1,3,5,2,4,6] => 3 [1,3,5,2,6,4] => 4 [1,3,5,4,2,6] => 2 [1,3,5,4,6,2] => 3 [1,3,5,6,2,4] => 3 [1,3,5,6,4,2] => 3 [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] => 2 [1,4,2,3,5,6] => 2 [1,4,2,3,6,5] => 3 [1,4,2,5,3,6] => 3 [1,4,2,5,6,3] => 3 [1,4,2,6,3,5] => 4 [1,4,2,6,5,3] => 3 [1,4,3,2,5,6] => 1 [1,4,3,2,6,5] => 2 [1,4,3,5,2,6] => 2 [1,4,3,5,6,2] => 3 [1,4,3,6,2,5] => 3 [1,4,3,6,5,2] => 2 [1,4,5,2,3,6] => 2 [1,4,5,2,6,3] => 3 [1,4,5,3,2,6] => 2 [1,4,5,3,6,2] => 3 [1,4,5,6,2,3] => 2 [1,4,5,6,3,2] => 2 [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] => 2 [1,4,6,5,3,2] => 3 [1,5,2,3,4,6] => 2 [1,5,2,3,6,4] => 3 [1,5,2,4,3,6] => 2 [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] => 2 [1,5,3,2,6,4] => 3 [1,5,3,4,2,6] => 2 [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] => 2 [1,5,4,2,6,3] => 3 [1,5,4,3,2,6] => 1 [1,5,4,3,6,2] => 2 [1,5,4,6,2,3] => 2 [1,5,4,6,3,2] => 3 [1,5,6,2,3,4] => 2 [1,5,6,2,4,3] => 2 [1,5,6,3,2,4] => 2 [1,5,6,3,4,2] => 3 [1,5,6,4,2,3] => 3 [1,5,6,4,3,2] => 2 [1,6,2,3,4,5] => 2 [1,6,2,3,5,4] => 3 [1,6,2,4,3,5] => 3 [1,6,2,4,5,3] => 3 [1,6,2,5,3,4] => 3 [1,6,2,5,4,3] => 2 [1,6,3,2,4,5] => 3 [1,6,3,2,5,4] => 2 [1,6,3,4,2,5] => 3 [1,6,3,4,5,2] => 2 [1,6,3,5,2,4] => 3 [1,6,3,5,4,2] => 3 [1,6,4,2,3,5] => 3 [1,6,4,2,5,3] => 3 [1,6,4,3,2,5] => 2 [1,6,4,3,5,2] => 3 [1,6,4,5,2,3] => 3 [1,6,4,5,3,2] => 2 [1,6,5,2,3,4] => 2 [1,6,5,2,4,3] => 3 [1,6,5,3,2,4] => 3 [1,6,5,3,4,2] => 2 [1,6,5,4,2,3] => 2 [1,6,5,4,3,2] => 1 [2,1,3,4,5,6] => 1 [2,1,3,4,6,5] => 2 [2,1,3,5,4,6] => 2 [2,1,3,5,6,4] => 3 [2,1,3,6,4,5] => 3 [2,1,3,6,5,4] => 2 [2,1,4,3,5,6] => 2 [2,1,4,3,6,5] => 3 [2,1,4,5,3,6] => 3 [2,1,4,5,6,3] => 3 [2,1,4,6,3,5] => 4 [2,1,4,6,5,3] => 3 [2,1,5,3,4,6] => 3 [2,1,5,3,6,4] => 4 [2,1,5,4,3,6] => 2 [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] => 3 [2,1,6,3,5,4] => 3 [2,1,6,4,3,5] => 3 [2,1,6,4,5,3] => 3 [2,1,6,5,3,4] => 3 [2,1,6,5,4,3] => 2 [2,3,1,4,5,6] => 2 [2,3,1,4,6,5] => 3 [2,3,1,5,4,6] => 3 [2,3,1,5,6,4] => 4 [2,3,1,6,4,5] => 4 [2,3,1,6,5,4] => 3 [2,3,4,1,5,6] => 2 [2,3,4,1,6,5] => 3 [2,3,4,5,1,6] => 2 [2,3,4,5,6,1] => 2 [2,3,4,6,1,5] => 3 [2,3,4,6,5,1] => 3 [2,3,5,1,4,6] => 3 [2,3,5,1,6,4] => 4 [2,3,5,4,1,6] => 3 [2,3,5,4,6,1] => 3 [2,3,5,6,1,4] => 4 [2,3,5,6,4,1] => 4 [2,3,6,1,4,5] => 4 [2,3,6,1,5,4] => 3 [2,3,6,4,1,5] => 4 [2,3,6,4,5,1] => 4 [2,3,6,5,1,4] => 3 [2,3,6,5,4,1] => 3 [2,4,1,3,5,6] => 3 [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] => 5 [2,4,1,6,5,3] => 4 [2,4,3,1,5,6] => 2 [2,4,3,1,6,5] => 3 [2,4,3,5,1,6] => 3 [2,4,3,5,6,1] => 3 [2,4,3,6,1,5] => 4 [2,4,3,6,5,1] => 3 [2,4,5,1,3,6] => 3 [2,4,5,1,6,3] => 4 [2,4,5,3,1,6] => 3 [2,4,5,3,6,1] => 4 [2,4,5,6,1,3] => 3 [2,4,5,6,3,1] => 3 [2,4,6,1,3,5] => 4 [2,4,6,1,5,3] => 4 [2,4,6,3,1,5] => 4 [2,4,6,3,5,1] => 4 [2,4,6,5,1,3] => 3 [2,4,6,5,3,1] => 4 [2,5,1,3,4,6] => 3 [2,5,1,3,6,4] => 4 [2,5,1,4,3,6] => 3 [2,5,1,4,6,3] => 4 [2,5,1,6,3,4] => 4 [2,5,1,6,4,3] => 4 [2,5,3,1,4,6] => 3 [2,5,3,1,6,4] => 4 [2,5,3,4,1,6] => 3 [2,5,3,4,6,1] => 4 [2,5,3,6,1,4] => 4 [2,5,3,6,4,1] => 4 [2,5,4,1,3,6] => 3 [2,5,4,1,6,3] => 4 [2,5,4,3,1,6] => 2 [2,5,4,3,6,1] => 3 [2,5,4,6,1,3] => 3 [2,5,4,6,3,1] => 4 [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] => 3 [2,6,1,3,5,4] => 4 [2,6,1,4,3,5] => 4 [2,6,1,4,5,3] => 4 [2,6,1,5,3,4] => 4 [2,6,1,5,4,3] => 3 [2,6,3,1,4,5] => 4 [2,6,3,1,5,4] => 3 [2,6,3,4,1,5] => 4 [2,6,3,4,5,1] => 3 [2,6,3,5,1,4] => 4 [2,6,3,5,4,1] => 4 [2,6,4,1,3,5] => 4 [2,6,4,1,5,3] => 4 [2,6,4,3,1,5] => 3 [2,6,4,3,5,1] => 4 [2,6,4,5,1,3] => 3 [2,6,4,5,3,1] => 3 [2,6,5,1,3,4] => 3 [2,6,5,1,4,3] => 3 [2,6,5,3,1,4] => 4 [2,6,5,3,4,1] => 3 [2,6,5,4,1,3] => 3 [2,6,5,4,3,1] => 2 [3,1,2,4,5,6] => 2 [3,1,2,4,6,5] => 3 [3,1,2,5,4,6] => 3 [3,1,2,5,6,4] => 4 [3,1,2,6,4,5] => 4 [3,1,2,6,5,4] => 3 [3,1,4,2,5,6] => 3 [3,1,4,2,6,5] => 4 [3,1,4,5,2,6] => 3 [3,1,4,5,6,2] => 3 [3,1,4,6,2,5] => 4 [3,1,4,6,5,2] => 4 [3,1,5,2,4,6] => 4 [3,1,5,2,6,4] => 5 [3,1,5,4,2,6] => 3 [3,1,5,4,6,2] => 4 [3,1,5,6,2,4] => 4 [3,1,5,6,4,2] => 4 [3,1,6,2,4,5] => 4 [3,1,6,2,5,4] => 4 [3,1,6,4,2,5] => 4 [3,1,6,4,5,2] => 4 [3,1,6,5,2,4] => 4 [3,1,6,5,4,2] => 3 [3,2,1,4,5,6] => 1 [3,2,1,4,6,5] => 2 [3,2,1,5,4,6] => 2 [3,2,1,5,6,4] => 3 [3,2,1,6,4,5] => 3 [3,2,1,6,5,4] => 2 [3,2,4,1,5,6] => 2 [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] => 4 [3,2,4,6,5,1] => 3 [3,2,5,1,4,6] => 3 [3,2,5,1,6,4] => 4 [3,2,5,4,1,6] => 2 [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] => 2 [3,4,1,2,5,6] => 2 [3,4,1,2,6,5] => 3 [3,4,1,5,2,6] => 3 [3,4,1,5,6,2] => 4 [3,4,1,6,2,5] => 4 [3,4,1,6,5,2] => 3 [3,4,2,1,5,6] => 2 [3,4,2,1,6,5] => 3 [3,4,2,5,1,6] => 3 [3,4,2,5,6,1] => 4 [3,4,2,6,1,5] => 4 [3,4,2,6,5,1] => 3 [3,4,5,1,2,6] => 2 [3,4,5,1,6,2] => 3 [3,4,5,2,1,6] => 2 [3,4,5,2,6,1] => 3 [3,4,5,6,1,2] => 2 [3,4,5,6,2,1] => 2 [3,4,6,1,2,5] => 3 [3,4,6,1,5,2] => 4 [3,4,6,2,1,5] => 3 [3,4,6,2,5,1] => 4 [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] => 4 [3,5,1,4,2,6] => 3 [3,5,1,4,6,2] => 4 [3,5,1,6,2,4] => 4 [3,5,1,6,4,2] => 4 [3,5,2,1,4,6] => 3 [3,5,2,1,6,4] => 4 [3,5,2,4,1,6] => 3 [3,5,2,4,6,1] => 4 [3,5,2,6,1,4] => 4 [3,5,2,6,4,1] => 4 [3,5,4,1,2,6] => 2 [3,5,4,1,6,2] => 3 [3,5,4,2,1,6] => 3 [3,5,4,2,6,1] => 4 [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] => 4 [3,6,1,2,5,4] => 3 [3,6,1,4,2,5] => 4 [3,6,1,4,5,2] => 3 [3,6,1,5,2,4] => 4 [3,6,1,5,4,2] => 4 [3,6,2,1,4,5] => 3 [3,6,2,1,5,4] => 3 [3,6,2,4,1,5] => 4 [3,6,2,4,5,1] => 4 [3,6,2,5,1,4] => 4 [3,6,2,5,4,1] => 3 [3,6,4,1,2,5] => 3 [3,6,4,1,5,2] => 4 [3,6,4,2,1,5] => 4 [3,6,4,2,5,1] => 4 [3,6,4,5,1,2] => 3 [3,6,4,5,2,1] => 3 [3,6,5,1,2,4] => 3 [3,6,5,1,4,2] => 3 [3,6,5,2,1,4] => 3 [3,6,5,2,4,1] => 4 [3,6,5,4,1,2] => 2 [3,6,5,4,2,1] => 3 [4,1,2,3,5,6] => 2 [4,1,2,3,6,5] => 3 [4,1,2,5,3,6] => 3 [4,1,2,5,6,3] => 4 [4,1,2,6,3,5] => 4 [4,1,2,6,5,3] => 3 [4,1,3,2,5,6] => 2 [4,1,3,2,6,5] => 3 [4,1,3,5,2,6] => 3 [4,1,3,5,6,2] => 4 [4,1,3,6,2,5] => 4 [4,1,3,6,5,2] => 3 [4,1,5,2,3,6] => 3 [4,1,5,2,6,3] => 4 [4,1,5,3,2,6] => 3 [4,1,5,3,6,2] => 4 [4,1,5,6,2,3] => 3 [4,1,5,6,3,2] => 3 [4,1,6,2,3,5] => 4 [4,1,6,2,5,3] => 4 [4,1,6,3,2,5] => 4 [4,1,6,3,5,2] => 4 [4,1,6,5,2,3] => 3 [4,1,6,5,3,2] => 3 [4,2,1,3,5,6] => 2 [4,2,1,3,6,5] => 3 [4,2,1,5,3,6] => 3 [4,2,1,5,6,3] => 3 [4,2,1,6,3,5] => 4 [4,2,1,6,5,3] => 3 [4,2,3,1,5,6] => 2 [4,2,3,1,6,5] => 3 [4,2,3,5,1,6] => 3 [4,2,3,5,6,1] => 4 [4,2,3,6,1,5] => 4 [4,2,3,6,5,1] => 3 [4,2,5,1,3,6] => 3 [4,2,5,1,6,3] => 4 [4,2,5,3,1,6] => 3 [4,2,5,3,6,1] => 4 [4,2,5,6,1,3] => 4 [4,2,5,6,3,1] => 4 [4,2,6,1,3,5] => 4 [4,2,6,1,5,3] => 4 [4,2,6,3,1,5] => 4 [4,2,6,3,5,1] => 4 [4,2,6,5,1,3] => 3 [4,2,6,5,3,1] => 3 [4,3,1,2,5,6] => 2 [4,3,1,2,6,5] => 3 [4,3,1,5,2,6] => 3 [4,3,1,5,6,2] => 3 [4,3,1,6,2,5] => 4 [4,3,1,6,5,2] => 3 [4,3,2,1,5,6] => 1 [4,3,2,1,6,5] => 2 [4,3,2,5,1,6] => 2 [4,3,2,5,6,1] => 3 [4,3,2,6,1,5] => 3 [4,3,2,6,5,1] => 2 [4,3,5,1,2,6] => 2 [4,3,5,1,6,2] => 3 [4,3,5,2,1,6] => 3 [4,3,5,2,6,1] => 4 [4,3,5,6,1,2] => 3 [4,3,5,6,2,1] => 3 [4,3,6,1,2,5] => 3 [4,3,6,1,5,2] => 3 [4,3,6,2,1,5] => 3 [4,3,6,2,5,1] => 3 [4,3,6,5,1,2] => 2 [4,3,6,5,2,1] => 3 [4,5,1,2,3,6] => 2 [4,5,1,2,6,3] => 3 [4,5,1,3,2,6] => 2 [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] => 2 [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] => 2 [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] => 2 [4,5,6,2,1,3] => 2 [4,5,6,2,3,1] => 3 [4,5,6,3,1,2] => 3 [4,5,6,3,2,1] => 2 [4,6,1,2,3,5] => 3 [4,6,1,2,5,3] => 4 [4,6,1,3,2,5] => 3 [4,6,1,3,5,2] => 4 [4,6,1,5,2,3] => 3 [4,6,1,5,3,2] => 3 [4,6,2,1,3,5] => 3 [4,6,2,1,5,3] => 3 [4,6,2,3,1,5] => 3 [4,6,2,3,5,1] => 3 [4,6,2,5,1,3] => 4 [4,6,2,5,3,1] => 4 [4,6,3,1,2,5] => 3 [4,6,3,1,5,2] => 4 [4,6,3,2,1,5] => 3 [4,6,3,2,5,1] => 4 [4,6,3,5,1,2] => 3 [4,6,3,5,2,1] => 4 [4,6,5,1,2,3] => 2 [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] => 2 [5,1,2,3,6,4] => 3 [5,1,2,4,3,6] => 3 [5,1,2,4,6,3] => 4 [5,1,2,6,3,4] => 4 [5,1,2,6,4,3] => 3 [5,1,3,2,4,6] => 3 [5,1,3,2,6,4] => 4 [5,1,3,4,2,6] => 3 [5,1,3,4,6,2] => 4 [5,1,3,6,2,4] => 4 [5,1,3,6,4,2] => 4 [5,1,4,2,3,6] => 3 [5,1,4,2,6,3] => 4 [5,1,4,3,2,6] => 2 [5,1,4,3,6,2] => 3 [5,1,4,6,2,3] => 3 [5,1,4,6,3,2] => 4 [5,1,6,2,3,4] => 3 [5,1,6,2,4,3] => 3 [5,1,6,3,2,4] => 3 [5,1,6,3,4,2] => 3 [5,1,6,4,2,3] => 3 [5,1,6,4,3,2] => 3 [5,2,1,3,4,6] => 3 [5,2,1,3,6,4] => 4 [5,2,1,4,3,6] => 2 [5,2,1,4,6,3] => 3 [5,2,1,6,3,4] => 3 [5,2,1,6,4,3] => 3 [5,2,3,1,4,6] => 3 [5,2,3,1,6,4] => 4 [5,2,3,4,1,6] => 2 [5,2,3,4,6,1] => 3 [5,2,3,6,1,4] => 3 [5,2,3,6,4,1] => 4 [5,2,4,1,3,6] => 3 [5,2,4,1,6,3] => 4 [5,2,4,3,1,6] => 3 [5,2,4,3,6,1] => 4 [5,2,4,6,1,3] => 4 [5,2,4,6,3,1] => 4 [5,2,6,1,3,4] => 4 [5,2,6,1,4,3] => 3 [5,2,6,3,1,4] => 4 [5,2,6,3,4,1] => 3 [5,2,6,4,1,3] => 4 [5,2,6,4,3,1] => 4 [5,3,1,2,4,6] => 3 [5,3,1,2,6,4] => 4 [5,3,1,4,2,6] => 3 [5,3,1,4,6,2] => 4 [5,3,1,6,2,4] => 4 [5,3,1,6,4,2] => 4 [5,3,2,1,4,6] => 2 [5,3,2,1,6,4] => 3 [5,3,2,4,1,6] => 3 [5,3,2,4,6,1] => 4 [5,3,2,6,1,4] => 4 [5,3,2,6,4,1] => 3 [5,3,4,1,2,6] => 3 [5,3,4,1,6,2] => 3 [5,3,4,2,1,6] => 2 [5,3,4,2,6,1] => 3 [5,3,4,6,1,2] => 3 [5,3,4,6,2,1] => 3 [5,3,6,1,2,4] => 3 [5,3,6,1,4,2] => 4 [5,3,6,2,1,4] => 3 [5,3,6,2,4,1] => 4 [5,3,6,4,1,2] => 3 [5,3,6,4,2,1] => 4 [5,4,1,2,3,6] => 2 [5,4,1,2,6,3] => 3 [5,4,1,3,2,6] => 3 [5,4,1,3,6,2] => 4 [5,4,1,6,2,3] => 3 [5,4,1,6,3,2] => 3 [5,4,2,1,3,6] => 3 [5,4,2,1,6,3] => 3 [5,4,2,3,1,6] => 2 [5,4,2,3,6,1] => 3 [5,4,2,6,1,3] => 3 [5,4,2,6,3,1] => 4 [5,4,3,1,2,6] => 2 [5,4,3,1,6,2] => 3 [5,4,3,2,1,6] => 1 [5,4,3,2,6,1] => 2 [5,4,3,6,1,2] => 2 [5,4,3,6,2,1] => 3 [5,4,6,1,2,3] => 2 [5,4,6,1,3,2] => 3 [5,4,6,2,1,3] => 3 [5,4,6,2,3,1] => 3 [5,4,6,3,1,2] => 3 [5,4,6,3,2,1] => 3 [5,6,1,2,3,4] => 2 [5,6,1,2,4,3] => 3 [5,6,1,3,2,4] => 3 [5,6,1,3,4,2] => 3 [5,6,1,4,2,3] => 3 [5,6,1,4,3,2] => 2 [5,6,2,1,3,4] => 3 [5,6,2,1,4,3] => 2 [5,6,2,3,1,4] => 3 [5,6,2,3,4,1] => 3 [5,6,2,4,1,3] => 3 [5,6,2,4,3,1] => 3 [5,6,3,1,2,4] => 3 [5,6,3,1,4,2] => 3 [5,6,3,2,1,4] => 2 [5,6,3,2,4,1] => 3 [5,6,3,4,1,2] => 3 [5,6,3,4,2,1] => 3 [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] => 2 [6,1,2,3,4,5] => 2 [6,1,2,3,5,4] => 3 [6,1,2,4,3,5] => 3 [6,1,2,4,5,3] => 4 [6,1,2,5,3,4] => 4 [6,1,2,5,4,3] => 3 [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] => 3 [6,1,3,5,2,4] => 4 [6,1,3,5,4,2] => 4 [6,1,4,2,3,5] => 4 [6,1,4,2,5,3] => 4 [6,1,4,3,2,5] => 3 [6,1,4,3,5,2] => 4 [6,1,4,5,2,3] => 3 [6,1,4,5,3,2] => 3 [6,1,5,2,3,4] => 3 [6,1,5,2,4,3] => 4 [6,1,5,3,2,4] => 4 [6,1,5,3,4,2] => 3 [6,1,5,4,2,3] => 3 [6,1,5,4,3,2] => 2 [6,2,1,3,4,5] => 3 [6,2,1,3,5,4] => 3 [6,2,1,4,3,5] => 3 [6,2,1,4,5,3] => 3 [6,2,1,5,3,4] => 3 [6,2,1,5,4,3] => 2 [6,2,3,1,4,5] => 4 [6,2,3,1,5,4] => 3 [6,2,3,4,1,5] => 3 [6,2,3,4,5,1] => 2 [6,2,3,5,1,4] => 4 [6,2,3,5,4,1] => 3 [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] => 3 [6,2,4,5,1,3] => 3 [6,2,4,5,3,1] => 3 [6,2,5,1,3,4] => 4 [6,2,5,1,4,3] => 3 [6,2,5,3,1,4] => 4 [6,2,5,3,4,1] => 3 [6,2,5,4,1,3] => 4 [6,2,5,4,3,1] => 3 [6,3,1,2,4,5] => 4 [6,3,1,2,5,4] => 3 [6,3,1,4,2,5] => 4 [6,3,1,4,5,2] => 4 [6,3,1,5,2,4] => 4 [6,3,1,5,4,2] => 3 [6,3,2,1,4,5] => 3 [6,3,2,1,5,4] => 2 [6,3,2,4,1,5] => 4 [6,3,2,4,5,1] => 3 [6,3,2,5,1,4] => 3 [6,3,2,5,4,1] => 3 [6,3,4,1,2,5] => 3 [6,3,4,1,5,2] => 3 [6,3,4,2,1,5] => 3 [6,3,4,2,5,1] => 3 [6,3,4,5,1,2] => 3 [6,3,4,5,2,1] => 2 [6,3,5,1,2,4] => 3 [6,3,5,1,4,2] => 4 [6,3,5,2,1,4] => 4 [6,3,5,2,4,1] => 4 [6,3,5,4,1,2] => 3 [6,3,5,4,2,1] => 3 [6,4,1,2,3,5] => 3 [6,4,1,2,5,3] => 4 [6,4,1,3,2,5] => 4 [6,4,1,3,5,2] => 4 [6,4,1,5,2,3] => 3 [6,4,1,5,3,2] => 4 [6,4,2,1,3,5] => 4 [6,4,2,1,5,3] => 3 [6,4,2,3,1,5] => 3 [6,4,2,3,5,1] => 3 [6,4,2,5,1,3] => 4 [6,4,2,5,3,1] => 4 [6,4,3,1,2,5] => 3 [6,4,3,1,5,2] => 4 [6,4,3,2,1,5] => 2 [6,4,3,2,5,1] => 3 [6,4,3,5,1,2] => 3 [6,4,3,5,2,1] => 3 [6,4,5,1,2,3] => 3 [6,4,5,1,3,2] => 3 [6,4,5,2,1,3] => 3 [6,4,5,2,3,1] => 3 [6,4,5,3,1,2] => 3 [6,4,5,3,2,1] => 2 [6,5,1,2,3,4] => 2 [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] => 3 [6,5,1,4,3,2] => 3 [6,5,2,1,3,4] => 3 [6,5,2,1,4,3] => 3 [6,5,2,3,1,4] => 3 [6,5,2,3,4,1] => 2 [6,5,2,4,1,3] => 4 [6,5,2,4,3,1] => 3 [6,5,3,1,2,4] => 3 [6,5,3,1,4,2] => 4 [6,5,3,2,1,4] => 3 [6,5,3,2,4,1] => 3 [6,5,3,4,1,2] => 3 [6,5,3,4,2,1] => 2 [6,5,4,1,2,3] => 2 [6,5,4,1,3,2] => 3 [6,5,4,2,1,3] => 3 [6,5,4,2,3,1] => 2 [6,5,4,3,1,2] => 2 [6,5,4,3,2,1] => 1 [1,2,3,4,5,6,7] => 0 [1,2,3,4,5,7,6] => 1 [1,2,3,4,6,5,7] => 1 [1,2,3,4,6,7,5] => 2 [1,2,3,4,7,5,6] => 2 [1,2,3,4,7,6,5] => 1 [1,2,3,5,4,6,7] => 1 [1,2,3,5,4,7,6] => 2 [1,2,3,5,6,4,7] => 2 [1,2,3,5,6,7,4] => 2 [1,2,3,5,7,4,6] => 3 [1,2,3,5,7,6,4] => 2 [1,2,3,6,4,5,7] => 2 [1,2,3,6,4,7,5] => 3 [1,2,3,6,5,4,7] => 1 [1,2,3,6,5,7,4] => 2 [1,2,3,6,7,4,5] => 2 [1,2,3,6,7,5,4] => 2 [1,2,3,7,4,5,6] => 2 [1,2,3,7,4,6,5] => 2 [1,2,3,7,5,4,6] => 2 [1,2,3,7,5,6,4] => 2 [1,2,3,7,6,4,5] => 2 [1,2,3,7,6,5,4] => 1 [1,2,4,3,5,6,7] => 1 [1,2,4,3,5,7,6] => 2 [1,2,4,3,6,5,7] => 2 [1,2,4,3,6,7,5] => 3 [1,2,4,3,7,5,6] => 3 [1,2,4,3,7,6,5] => 2 [1,2,4,5,3,6,7] => 2 [1,2,4,5,3,7,6] => 3 [1,2,4,5,6,3,7] => 2 [1,2,4,5,6,7,3] => 2 [1,2,4,5,7,3,6] => 3 [1,2,4,5,7,6,3] => 3 [1,2,4,6,3,5,7] => 3 [1,2,4,6,3,7,5] => 4 [1,2,4,6,5,3,7] => 2 [1,2,4,6,5,7,3] => 3 [1,2,4,6,7,3,5] => 3 [1,2,4,6,7,5,3] => 3 [1,2,4,7,3,5,6] => 3 [1,2,4,7,3,6,5] => 3 [1,2,4,7,5,3,6] => 3 [1,2,4,7,5,6,3] => 3 [1,2,4,7,6,3,5] => 3 [1,2,4,7,6,5,3] => 2 [1,2,5,3,4,6,7] => 2 [1,2,5,3,4,7,6] => 3 [1,2,5,3,6,4,7] => 3 [1,2,5,3,6,7,4] => 3 [1,2,5,3,7,4,6] => 4 [1,2,5,3,7,6,4] => 3 [1,2,5,4,3,6,7] => 1 [1,2,5,4,3,7,6] => 2 [1,2,5,4,6,3,7] => 2 [1,2,5,4,6,7,3] => 3 [1,2,5,4,7,3,6] => 3 [1,2,5,4,7,6,3] => 2 [1,2,5,6,3,4,7] => 2 [1,2,5,6,3,7,4] => 3 [1,2,5,6,4,3,7] => 2 [1,2,5,6,4,7,3] => 3 [1,2,5,6,7,3,4] => 2 [1,2,5,6,7,4,3] => 2 [1,2,5,7,3,4,6] => 3 [1,2,5,7,3,6,4] => 3 [1,2,5,7,4,3,6] => 3 [1,2,5,7,4,6,3] => 3 [1,2,5,7,6,3,4] => 2 [1,2,5,7,6,4,3] => 3 [1,2,6,3,4,5,7] => 2 [1,2,6,3,4,7,5] => 3 [1,2,6,3,5,4,7] => 2 [1,2,6,3,5,7,4] => 3 [1,2,6,3,7,4,5] => 3 [1,2,6,3,7,5,4] => 3 [1,2,6,4,3,5,7] => 2 [1,2,6,4,3,7,5] => 3 [1,2,6,4,5,3,7] => 2 [1,2,6,4,5,7,3] => 3 [1,2,6,4,7,3,5] => 3 [1,2,6,4,7,5,3] => 3 [1,2,6,5,3,4,7] => 2 [1,2,6,5,3,7,4] => 3 [1,2,6,5,4,3,7] => 1 [1,2,6,5,4,7,3] => 2 [1,2,6,5,7,3,4] => 2 [1,2,6,5,7,4,3] => 3 [1,2,6,7,3,4,5] => 2 [1,2,6,7,3,5,4] => 2 [1,2,6,7,4,3,5] => 2 [1,2,6,7,4,5,3] => 3 [1,2,6,7,5,3,4] => 3 [1,2,6,7,5,4,3] => 2 [1,2,7,3,4,5,6] => 2 [1,2,7,3,4,6,5] => 3 [1,2,7,3,5,4,6] => 3 [1,2,7,3,5,6,4] => 3 [1,2,7,3,6,4,5] => 3 [1,2,7,3,6,5,4] => 2 [1,2,7,4,3,5,6] => 3 [1,2,7,4,3,6,5] => 2 [1,2,7,4,5,3,6] => 3 [1,2,7,4,5,6,3] => 2 [1,2,7,4,6,3,5] => 3 [1,2,7,4,6,5,3] => 3 [1,2,7,5,3,4,6] => 3 [1,2,7,5,3,6,4] => 3 [1,2,7,5,4,3,6] => 2 [1,2,7,5,4,6,3] => 3 [1,2,7,5,6,3,4] => 3 [1,2,7,5,6,4,3] => 2 [1,2,7,6,3,4,5] => 2 [1,2,7,6,3,5,4] => 3 [1,2,7,6,4,3,5] => 3 [1,2,7,6,4,5,3] => 2 [1,2,7,6,5,3,4] => 2 [1,2,7,6,5,4,3] => 1 [1,3,2,4,5,6,7] => 1 [1,3,2,4,5,7,6] => 2 [1,3,2,4,6,5,7] => 2 [1,3,2,4,6,7,5] => 3 [1,3,2,4,7,5,6] => 3 [1,3,2,4,7,6,5] => 2 [1,3,2,5,4,6,7] => 2 [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] => 4 [1,3,2,5,7,6,4] => 3 [1,3,2,6,4,5,7] => 3 [1,3,2,6,4,7,5] => 4 [1,3,2,6,5,4,7] => 2 [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] => 2 [1,3,4,2,5,6,7] => 2 [1,3,4,2,5,7,6] => 3 [1,3,4,2,6,5,7] => 3 [1,3,4,2,6,7,5] => 4 [1,3,4,2,7,5,6] => 4 [1,3,4,2,7,6,5] => 3 [1,3,4,5,2,6,7] => 2 [1,3,4,5,2,7,6] => 3 [1,3,4,5,6,2,7] => 2 [1,3,4,5,6,7,2] => 2 [1,3,4,5,7,2,6] => 3 [1,3,4,5,7,6,2] => 3 [1,3,4,6,2,5,7] => 3 [1,3,4,6,2,7,5] => 4 [1,3,4,6,5,2,7] => 3 [1,3,4,6,5,7,2] => 3 [1,3,4,6,7,2,5] => 4 [1,3,4,6,7,5,2] => 4 [1,3,4,7,2,5,6] => 4 [1,3,4,7,2,6,5] => 3 [1,3,4,7,5,2,6] => 4 [1,3,4,7,5,6,2] => 4 [1,3,4,7,6,2,5] => 3 [1,3,4,7,6,5,2] => 3 [1,3,5,2,4,6,7] => 3 [1,3,5,2,4,7,6] => 4 [1,3,5,2,6,4,7] => 4 [1,3,5,2,6,7,4] => 4 [1,3,5,2,7,4,6] => 5 [1,3,5,2,7,6,4] => 4 [1,3,5,4,2,6,7] => 2 [1,3,5,4,2,7,6] => 3 [1,3,5,4,6,2,7] => 3 [1,3,5,4,6,7,2] => 3 [1,3,5,4,7,2,6] => 4 [1,3,5,4,7,6,2] => 3 [1,3,5,6,2,4,7] => 3 [1,3,5,6,2,7,4] => 4 [1,3,5,6,4,2,7] => 3 [1,3,5,6,4,7,2] => 4 [1,3,5,6,7,2,4] => 3 [1,3,5,6,7,4,2] => 3 [1,3,5,7,2,4,6] => 4 [1,3,5,7,2,6,4] => 4 [1,3,5,7,4,2,6] => 4 [1,3,5,7,4,6,2] => 4 [1,3,5,7,6,2,4] => 3 [1,3,5,7,6,4,2] => 4 [1,3,6,2,4,5,7] => 3 [1,3,6,2,4,7,5] => 4 [1,3,6,2,5,4,7] => 3 [1,3,6,2,5,7,4] => 4 [1,3,6,2,7,4,5] => 4 [1,3,6,2,7,5,4] => 4 [1,3,6,4,2,5,7] => 3 [1,3,6,4,2,7,5] => 4 [1,3,6,4,5,2,7] => 3 [1,3,6,4,5,7,2] => 4 [1,3,6,4,7,2,5] => 4 [1,3,6,4,7,5,2] => 4 [1,3,6,5,2,4,7] => 3 [1,3,6,5,2,7,4] => 4 [1,3,6,5,4,2,7] => 2 [1,3,6,5,4,7,2] => 3 [1,3,6,5,7,2,4] => 3 [1,3,6,5,7,4,2] => 4 [1,3,6,7,2,4,5] => 3 [1,3,6,7,2,5,4] => 3 [1,3,6,7,4,2,5] => 3 [1,3,6,7,4,5,2] => 3 [1,3,6,7,5,2,4] => 3 [1,3,6,7,5,4,2] => 3 [1,3,7,2,4,5,6] => 3 [1,3,7,2,4,6,5] => 4 [1,3,7,2,5,4,6] => 4 [1,3,7,2,5,6,4] => 4 [1,3,7,2,6,4,5] => 4 [1,3,7,2,6,5,4] => 3 [1,3,7,4,2,5,6] => 4 [1,3,7,4,2,6,5] => 3 [1,3,7,4,5,2,6] => 4 [1,3,7,4,5,6,2] => 3 [1,3,7,4,6,2,5] => 4 [1,3,7,4,6,5,2] => 4 [1,3,7,5,2,4,6] => 4 [1,3,7,5,2,6,4] => 4 [1,3,7,5,4,2,6] => 3 [1,3,7,5,4,6,2] => 4 [1,3,7,5,6,2,4] => 3 [1,3,7,5,6,4,2] => 3 [1,3,7,6,2,4,5] => 3 [1,3,7,6,2,5,4] => 3 [1,3,7,6,4,2,5] => 4 [1,3,7,6,4,5,2] => 3 [1,3,7,6,5,2,4] => 3 [1,3,7,6,5,4,2] => 2 [1,4,2,3,5,6,7] => 2 [1,4,2,3,5,7,6] => 3 [1,4,2,3,6,5,7] => 3 [1,4,2,3,6,7,5] => 4 [1,4,2,3,7,5,6] => 4 [1,4,2,3,7,6,5] => 3 [1,4,2,5,3,6,7] => 3 [1,4,2,5,3,7,6] => 4 [1,4,2,5,6,3,7] => 3 [1,4,2,5,6,7,3] => 3 [1,4,2,5,7,3,6] => 4 [1,4,2,5,7,6,3] => 4 [1,4,2,6,3,5,7] => 4 [1,4,2,6,3,7,5] => 5 [1,4,2,6,5,3,7] => 3 [1,4,2,6,5,7,3] => 4 [1,4,2,6,7,3,5] => 4 [1,4,2,6,7,5,3] => 4 [1,4,2,7,3,5,6] => 4 [1,4,2,7,3,6,5] => 4 [1,4,2,7,5,3,6] => 4 [1,4,2,7,5,6,3] => 4 [1,4,2,7,6,3,5] => 4 [1,4,2,7,6,5,3] => 3 [1,4,3,2,5,6,7] => 1 [1,4,3,2,5,7,6] => 2 [1,4,3,2,6,5,7] => 2 [1,4,3,2,6,7,5] => 3 [1,4,3,2,7,5,6] => 3 [1,4,3,2,7,6,5] => 2 [1,4,3,5,2,6,7] => 2 [1,4,3,5,2,7,6] => 3 [1,4,3,5,6,2,7] => 3 [1,4,3,5,6,7,2] => 3 [1,4,3,5,7,2,6] => 4 [1,4,3,5,7,6,2] => 3 [1,4,3,6,2,5,7] => 3 [1,4,3,6,2,7,5] => 4 [1,4,3,6,5,2,7] => 2 [1,4,3,6,5,7,2] => 3 [1,4,3,6,7,2,5] => 3 [1,4,3,6,7,5,2] => 3 [1,4,3,7,2,5,6] => 3 [1,4,3,7,2,6,5] => 3 [1,4,3,7,5,2,6] => 3 [1,4,3,7,5,6,2] => 3 [1,4,3,7,6,2,5] => 3 [1,4,3,7,6,5,2] => 2 [1,4,5,2,3,6,7] => 2 [1,4,5,2,3,7,6] => 3 [1,4,5,2,6,3,7] => 3 [1,4,5,2,6,7,3] => 4 [1,4,5,2,7,3,6] => 4 [1,4,5,2,7,6,3] => 3 [1,4,5,3,2,6,7] => 2 [1,4,5,3,2,7,6] => 3 [1,4,5,3,6,2,7] => 3 [1,4,5,3,6,7,2] => 4 [1,4,5,3,7,2,6] => 4 [1,4,5,3,7,6,2] => 3 [1,4,5,6,2,3,7] => 2 [1,4,5,6,2,7,3] => 3 [1,4,5,6,3,2,7] => 2 [1,4,5,6,3,7,2] => 3 [1,4,5,6,7,2,3] => 2 [1,4,5,6,7,3,2] => 2 [1,4,5,7,2,3,6] => 3 [1,4,5,7,2,6,3] => 4 [1,4,5,7,3,2,6] => 3 [1,4,5,7,3,6,2] => 4 [1,4,5,7,6,2,3] => 3 [1,4,5,7,6,3,2] => 3 [1,4,6,2,3,5,7] => 3 [1,4,6,2,3,7,5] => 4 [1,4,6,2,5,3,7] => 3 [1,4,6,2,5,7,3] => 4 [1,4,6,2,7,3,5] => 4 [1,4,6,2,7,5,3] => 4 [1,4,6,3,2,5,7] => 3 [1,4,6,3,2,7,5] => 4 [1,4,6,3,5,2,7] => 3 [1,4,6,3,5,7,2] => 4 [1,4,6,3,7,2,5] => 4 [1,4,6,3,7,5,2] => 4 [1,4,6,5,2,3,7] => 2 [1,4,6,5,2,7,3] => 3 [1,4,6,5,3,2,7] => 3 [1,4,6,5,3,7,2] => 4 [1,4,6,7,2,3,5] => 3 [1,4,6,7,5,3,2] => 3 [1,4,7,2,3,5,6] => 4 [1,4,7,6,5,3,2] => 3 [1,5,2,3,4,7,6] => 3 [1,5,2,7,3,4,6] => 4 [1,5,4,7,6,3,2] => 3 [1,5,6,2,7,3,4] => 3 [1,5,6,4,7,3,2] => 3 [1,5,6,7,2,3,4] => 3 [1,5,6,7,4,3,2] => 2 [1,5,7,2,3,4,6] => 3 [1,5,7,6,4,3,2] => 3 [1,6,2,3,4,7,5] => 3 [1,6,2,3,7,4,5] => 4 [1,6,2,7,3,4,5] => 3 [1,6,5,4,3,7,2] => 2 [1,6,5,4,7,3,2] => 3 [1,6,5,7,4,3,2] => 3 [1,6,7,2,3,4,5] => 2 [1,6,7,5,4,3,2] => 2 [1,7,2,3,4,5,6] => 2 [1,7,3,5,6,4,2] => 3 [1,7,3,6,5,4,2] => 3 [1,7,4,3,6,5,2] => 3 [1,7,4,5,3,6,2] => 3 [1,7,4,5,6,3,2] => 2 [1,7,4,6,5,3,2] => 3 [1,7,5,4,3,6,2] => 3 [1,7,5,4,6,3,2] => 3 [1,7,6,4,5,3,2] => 2 [1,7,6,5,4,3,2] => 1 [2,1,3,4,5,6,7] => 1 [2,1,3,4,7,5,6] => 3 [2,1,3,7,4,5,6] => 3 [2,1,6,3,4,5,7] => 3 [2,1,7,3,4,5,6] => 3 [2,1,7,6,5,4,3] => 2 [2,3,1,4,5,6,7] => 2 [2,3,4,1,5,6,7] => 2 [2,3,4,1,5,7,6] => 3 [2,3,4,5,1,6,7] => 2 [2,3,4,5,1,7,6] => 3 [2,3,4,5,6,1,7] => 2 [2,3,4,5,6,7,1] => 2 [2,3,4,5,7,1,6] => 3 [2,3,4,6,1,7,5] => 4 [2,3,4,6,7,1,5] => 4 [2,3,4,7,1,5,6] => 4 [2,3,5,6,7,1,4] => 4 [2,4,1,3,5,6,7] => 3 [2,5,1,3,4,6,7] => 3 [2,5,7,1,3,4,6] => 4 [2,6,1,3,4,5,7] => 3 [2,6,1,7,3,4,5] => 4 [2,6,5,4,3,1,7] => 2 [2,6,7,1,3,4,5] => 3 [2,7,1,3,4,5,6] => 3 [3,1,2,4,5,6,7] => 2 [3,1,2,4,5,7,6] => 3 [3,2,1,4,5,6,7] => 1 [3,2,4,5,6,7,1] => 3 [3,4,1,2,5,6,7] => 2 [3,4,2,5,6,7,1] => 4 [3,4,5,2,6,7,1] => 4 [3,4,5,6,2,7,1] => 3 [3,4,5,6,7,1,2] => 2 [3,5,6,1,2,4,7] => 3 [3,5,6,4,2,1,7] => 3 [3,6,1,2,4,5,7] => 4 [3,6,5,4,2,1,7] => 3 [4,1,2,3,5,6,7] => 2 [4,1,2,3,5,7,6] => 3 [4,1,6,2,3,5,7] => 4 [4,2,3,5,6,7,1] => 4 [4,2,5,1,3,6,7] => 3 [4,3,2,1,5,6,7] => 1 [4,3,2,5,6,7,1] => 3 [4,3,5,2,6,7,1] => 4 [4,3,6,5,2,1,7] => 3 [4,5,1,6,2,3,7] => 3 [4,5,2,3,6,7,1] => 4 [4,5,3,6,2,1,7] => 3 [4,5,6,1,2,3,7] => 3 [4,5,6,3,2,1,7] => 2 [4,6,1,2,3,5,7] => 3 [4,6,1,2,3,7,5] => 4 [4,6,5,3,2,1,7] => 3 [5,1,2,3,4,6,7] => 2 [5,1,2,3,4,7,6] => 3 [5,1,2,3,6,4,7] => 3 [5,1,2,3,6,7,4] => 4 [5,1,2,3,7,4,6] => 4 [5,1,2,6,3,4,7] => 4 [5,1,6,2,3,4,7] => 3 [5,1,6,2,3,7,4] => 4 [5,2,3,4,6,7,1] => 4 [5,2,6,7,1,3,4] => 4 [5,3,2,4,6,7,1] => 4 [5,3,2,6,1,4,7] => 4 [5,3,6,7,1,2,4] => 4 [5,4,3,2,1,6,7] => 1 [5,4,3,2,1,7,6] => 2 [5,4,3,2,6,1,7] => 2 [5,4,3,6,2,1,7] => 3 [5,4,6,3,2,1,7] => 3 [5,4,6,7,1,2,3] => 3 [5,6,1,2,3,4,7] => 2 [5,6,1,2,3,7,4] => 3 [5,6,3,4,1,2,7] => 3 [5,6,4,3,2,1,7] => 2 [5,6,7,1,2,3,4] => 3 [6,1,2,3,4,5,7] => 2 [6,1,2,3,4,7,5] => 3 [6,1,2,3,7,4,5] => 4 [6,1,2,7,3,4,5] => 4 [6,2,3,4,5,7,1] => 3 [6,2,4,5,3,1,7] => 3 [6,2,5,4,3,1,7] => 3 [6,3,2,5,4,1,7] => 3 [6,3,4,2,5,1,7] => 3 [6,3,4,5,2,1,7] => 2 [6,3,4,7,1,2,5] => 3 [6,3,5,4,2,1,7] => 3 [6,4,3,2,5,1,7] => 3 [6,4,3,2,7,1,5] => 4 [6,4,3,5,2,1,7] => 3 [6,4,5,7,1,2,3] => 3 [6,4,7,2,5,1,3] => 5 [6,4,7,3,5,1,2] => 4 [6,5,3,4,2,1,7] => 2 [6,5,4,3,2,1,7] => 1 [6,5,7,3,4,1,2] => 3 [6,7,1,2,3,4,5] => 2 [6,7,3,4,1,2,5] => 4 [6,7,4,5,1,2,3] => 3 [7,1,2,3,4,5,6] => 2 [7,2,1,3,4,5,6] => 3 [7,2,3,1,4,5,6] => 4 [7,2,3,4,1,5,6] => 4 [7,2,3,4,5,1,6] => 3 [7,3,1,2,4,5,6] => 4 [7,3,2,1,4,5,6] => 3 [7,3,2,4,1,5,6] => 4 [7,3,4,1,2,5,6] => 4 [7,4,1,2,3,5,6] => 4 [7,4,2,1,3,5,6] => 4 [7,4,5,6,1,2,3] => 3 [7,5,1,2,3,4,6] => 3 [7,5,6,1,2,3,4] => 3 [7,5,6,3,4,1,2] => 4 [7,6,1,2,3,4,5] => 2 [7,6,4,5,1,2,3] => 3 [7,6,5,1,2,3,4] => 2 [7,6,5,3,4,1,2] => 3 [7,6,5,4,1,2,3] => 2 [7,6,5,4,3,1,2] => 2 [7,6,5,4,3,2,1] => 1 [8,7,6,5,4,3,2,1] => 1 [7,6,8,5,4,3,2,1] => 3 [7,8,5,6,4,3,2,1] => 3 [7,8,6,4,5,3,2,1] => 3 [8,6,7,4,5,3,2,1] => 3 [7,6,5,4,8,3,2,1] => 3 [6,5,7,4,8,3,2,1] => 4 [7,8,6,5,3,4,2,1] => 3 [8,6,7,5,3,4,2,1] => 3 [8,7,5,6,3,4,2,1] => 3 [6,7,8,3,4,5,2,1] => 3 [7,8,6,5,4,2,3,1] => 3 [8,6,7,5,4,2,3,1] => 3 [8,7,5,6,4,2,3,1] => 3 [8,7,6,4,5,2,3,1] => 3 [8,6,5,7,3,2,4,1] => 5 [6,7,8,5,2,3,4,1] => 3 [8,5,6,7,2,3,4,1] => 3 [7,8,3,2,4,5,6,1] => 3 [7,6,5,4,3,2,8,1] => 2 [6,5,7,4,3,2,8,1] => 4 [6,5,4,3,7,2,8,1] => 4 [5,4,6,3,7,2,8,1] => 5 [3,4,5,2,6,7,8,1] => 4 [5,2,3,4,6,7,8,1] => 4 [4,3,2,5,6,7,8,1] => 3 [3,4,2,5,6,7,8,1] => 4 [4,2,3,5,6,7,8,1] => 4 [3,2,4,5,6,7,8,1] => 3 [2,3,4,5,6,7,8,1] => 2 [8,7,6,5,4,3,1,2] => 2 [7,8,6,5,4,3,1,2] => 3 [8,6,7,5,4,3,1,2] => 3 [8,7,5,6,4,3,1,2] => 3 [8,7,6,4,5,3,1,2] => 3 [8,7,6,5,3,4,1,2] => 3 [8,7,5,6,3,4,1,2] => 4 [7,8,5,6,3,4,1,2] => 4 [5,6,7,8,3,4,1,2] => 3 [7,8,3,4,5,6,1,2] => 3 [3,4,5,6,7,8,1,2] => 2 [8,7,6,5,4,2,1,3] => 3 [7,6,8,5,4,2,1,3] => 5 [8,7,6,5,4,1,2,3] => 2 [6,7,8,5,4,1,2,3] => 3 [8,5,6,7,4,1,2,3] => 3 [8,7,6,4,5,1,2,3] => 3 [8,6,7,4,5,1,2,3] => 4 [8,7,4,5,6,1,2,3] => 3 [7,8,4,5,6,1,2,3] => 3 [6,7,4,5,8,1,2,3] => 4 [7,6,5,8,3,2,1,4] => 3 [7,5,6,8,2,3,1,4] => 5 [6,7,5,8,3,1,2,4] => 5 [6,5,7,8,2,1,3,4] => 4 [8,7,6,5,1,2,3,4] => 2 [8,7,5,6,1,2,3,4] => 3 [7,8,5,6,1,2,3,4] => 3 [8,5,6,7,1,2,3,4] => 3 [5,6,7,8,1,2,3,4] => 3 [8,7,6,4,3,2,1,5] => 3 [8,7,6,4,2,1,3,5] => 4 [8,7,6,1,2,3,4,5] => 2 [8,6,7,1,2,3,4,5] => 3 [6,7,8,1,2,3,4,5] => 3 [7,8,5,4,2,1,3,6] => 4 [7,8,5,4,1,2,3,6] => 3 [8,7,1,2,3,4,5,6] => 2 [7,8,1,2,3,4,5,6] => 2 [8,6,5,4,3,2,1,7] => 2 [8,6,5,4,3,1,2,7] => 3 [8,5,6,3,4,1,2,7] => 4 [8,6,5,4,2,1,3,7] => 4 [8,6,4,3,2,1,5,7] => 4 [8,6,4,2,1,3,5,7] => 5 [8,2,3,4,1,5,6,7] => 4 [8,4,1,2,3,5,6,7] => 4 [8,3,2,1,4,5,6,7] => 3 [8,2,3,1,4,5,6,7] => 4 [8,3,1,2,4,5,6,7] => 4 [8,2,1,3,4,5,6,7] => 3 [8,1,2,3,4,5,6,7] => 2 [7,6,5,4,3,2,1,8] => 1 [6,7,5,4,3,2,1,8] => 2 [6,5,7,4,3,2,1,8] => 3 [5,6,7,4,3,2,1,8] => 2 [7,6,4,5,3,2,1,8] => 2 [6,5,4,7,3,2,1,8] => 3 [7,5,6,3,4,2,1,8] => 3 [7,6,4,3,5,2,1,8] => 3 [7,6,3,4,5,2,1,8] => 2 [7,5,4,3,6,2,1,8] => 3 [6,7,5,4,2,3,1,8] => 3 [6,5,7,3,2,4,1,8] => 4 [5,6,7,2,3,4,1,8] => 3 [2,3,4,5,6,7,1,8] => 2 [5,6,7,1,2,3,4,8] => 3 [6,7,1,2,3,4,5,8] => 2 [7,1,2,3,4,5,6,8] => 2 [6,5,4,3,2,1,7,8] => 1 [2,3,4,5,6,1,7,8] => 2 [5,6,3,4,1,2,7,8] => 3 [4,5,6,1,2,3,7,8] => 3 [6,1,2,3,4,5,7,8] => 2 [5,4,3,2,1,6,7,8] => 1 [2,3,4,5,1,6,7,8] => 2 [5,1,2,3,4,6,7,8] => 2 [4,3,2,1,5,6,7,8] => 1 [3,4,1,2,5,6,7,8] => 2 [3,2,1,4,5,6,7,8] => 1 [2,1,3,4,5,6,7,8] => 1 [1,2,3,4,5,6,7,8] => 0 [6,5,8,7,4,3,2,1] => 3 [3,5,8,7,6,4,2,1] => 4 [4,3,6,5,8,7,2,1] => 3 [2,6,8,7,5,4,3,1] => 4 [2,3,5,6,8,7,4,1] => 5 [3,2,6,5,4,8,7,1] => 3 [4,3,6,5,7,2,8,1] => 4 [3,2,6,5,7,4,8,1] => 5 [4,3,5,2,7,6,8,1] => 5 [3,2,5,4,7,6,8,1] => 4 [1,8,7,6,5,4,3,2] => 1 [1,7,8,6,5,4,3,2] => 2 [1,6,8,7,5,4,3,2] => 3 [1,7,6,8,5,4,3,2] => 3 [1,6,7,8,5,4,3,2] => 2 [1,5,8,7,6,4,3,2] => 3 [1,7,6,5,8,4,3,2] => 3 [1,3,5,7,8,6,4,2] => 4 [1,4,3,8,7,6,5,2] => 2 [1,6,5,4,3,8,7,2] => 2 [1,4,3,6,5,8,7,2] => 3 [2,1,8,7,6,5,4,3] => 2 [2,1,6,5,7,4,8,3] => 5 [2,1,5,4,7,6,8,3] => 4 [1,2,6,7,8,5,4,3] => 2 [3,2,1,8,7,6,5,4] => 2 [3,2,1,6,5,8,7,4] => 3 [1,2,3,5,6,7,8,4] => 2 [4,3,2,1,8,7,6,5] => 2 [3,4,2,1,7,8,6,5] => 4 [2,4,3,1,6,8,7,5] => 4 [2,4,3,1,7,6,8,5] => 4 [3,2,4,1,6,8,7,5] => 4 [3,2,4,1,7,6,8,5] => 4 [2,3,4,1,6,7,8,5] => 4 [2,1,4,3,8,7,6,5] => 3 [2,1,4,3,6,8,7,5] => 4 [2,1,4,3,7,6,8,5] => 4 [5,4,3,2,1,8,7,6] => 2 [3,2,5,4,1,8,7,6] => 3 [3,2,1,4,5,8,7,6] => 2 [2,3,1,4,5,7,8,6] => 4 [6,5,4,3,2,1,8,7] => 2 [4,3,5,2,6,1,8,7] => 5 [3,2,5,4,6,1,8,7] => 4 [2,3,4,5,6,1,8,7] => 3 [2,1,6,5,4,3,8,7] => 3 [2,1,4,6,5,3,8,7] => 4 [2,1,5,4,6,3,8,7] => 4 [4,3,2,1,6,5,8,7] => 3 [2,4,3,1,6,5,8,7] => 4 [3,2,4,1,6,5,8,7] => 4 [2,1,4,3,6,5,8,7] => 4 [2,1,3,4,5,6,8,7] => 2 [1,2,3,4,5,6,8,7] => 1 [5,7,6,4,3,2,1,8] => 3 [4,7,6,5,3,2,1,8] => 3 [3,2,7,6,5,4,1,8] => 2 [5,4,3,2,7,6,1,8] => 2 [3,2,5,4,7,6,1,8] => 3 [1,4,3,2,7,6,5,8] => 2 [1,3,4,2,6,7,5,8] => 4 [1,3,2,5,4,7,6,8] => 3 [1,2,3,5,4,7,6,8] => 2 [1,3,2,4,5,7,6,8] => 2 [1,2,3,4,5,7,6,8] => 1 [1,2,4,3,6,5,7,8] => 2 [1,3,2,5,4,6,7,8] => 2 [1,2,3,5,4,6,7,8] => 1 [1,3,2,4,5,6,7,8] => 1 [1,8,4,7,6,5,3,2] => 3 [1,8,5,4,7,6,3,2] => 3 [1,8,7,4,5,6,3,2] => 2 [1,8,7,4,6,5,3,2] => 3 [1,8,6,5,4,7,3,2] => 3 [1,8,7,5,4,6,3,2] => 3 [1,8,7,5,6,4,3,2] => 2 [2,1,4,5,8,6,7,3] => 5 [2,1,8,5,4,7,6,3] => 4 [2,3,4,8,5,6,7,1] => 4 [2,3,6,4,5,1,8,7] => 5 [2,3,7,4,5,6,8,1] => 4 [2,8,4,3,5,7,6,1] => 4 [4,2,3,1,8,6,7,5] => 4 [8,2,7,4,6,5,3,1] => 5 [4,3,2,7,5,6,8,1] => 4 [4,3,2,8,5,7,6,1] => 4 [6,3,2,5,4,1,8,7] => 4 [8,3,2,5,4,7,6,1] => 4 [8,3,2,7,6,5,4,1] => 3 [8,3,7,4,6,5,2,1] => 4 [7,3,6,5,4,2,1,8] => 3 [7,4,3,6,5,2,1,8] => 3 [7,6,3,5,4,2,1,8] => 3 [8,5,4,3,2,7,6,1] => 3 [8,7,4,3,6,5,2,1] => 3 [2,4,6,8,1,3,5,7] => 5 [2,4,6,1,7,3,8,5] => 6 [2,1,4,3,7,5,8,6] => 5 [2,4,1,3,7,5,8,6] => 6 [2,1,4,3,7,8,5,6] => 4 [2,4,7,8,1,3,5,6] => 5 [2,1,4,3,8,5,6,7] => 4 [2,4,5,6,7,1,8,3] => 4 [2,1,5,3,6,4,8,7] => 5 [2,1,5,6,3,4,8,7] => 4 [2,5,6,8,1,3,4,7] => 4 [2,1,5,3,7,4,8,6] => 6 [2,5,1,7,3,4,8,6] => 6 [2,1,5,7,3,8,4,6] => 5 [2,5,7,8,1,3,4,6] => 4 [2,3,5,6,1,7,8,4] => 4 [2,1,6,3,7,4,8,5] => 5 [2,6,7,1,3,4,8,5] => 4 [2,1,6,7,8,3,4,5] => 3 [2,6,7,8,1,3,4,5] => 3 [2,1,6,3,4,7,8,5] => 5 [2,1,6,3,4,5,8,7] => 4 [2,6,1,3,4,5,7,8] => 3 [2,7,8,1,3,4,5,6] => 3 [2,7,1,3,4,5,6,8] => 3 [2,3,4,5,7,8,1,6] => 4 [2,1,8,3,4,5,6,7] => 3 [2,8,1,3,4,5,6,7] => 3 [2,1,3,8,4,5,6,7] => 3 [2,3,4,5,6,8,1,7] => 3 [3,1,4,2,6,5,8,7] => 5 [3,4,1,2,6,5,8,7] => 4 [3,1,4,2,6,8,5,7] => 6 [3,4,6,8,1,2,5,7] => 5 [3,1,4,2,7,5,8,6] => 6 [3,4,1,2,7,8,5,6] => 4 [3,4,7,8,1,2,5,6] => 4 [3,1,5,2,6,4,8,7] => 6 [3,5,1,6,2,4,8,7] => 5 [3,1,5,6,2,8,4,7] => 6 [3,5,6,8,1,2,4,7] => 4 [3,1,5,2,7,4,8,6] => 7 [3,5,1,7,2,8,4,6] => 6 [3,5,7,8,1,2,4,6] => 5 [1,3,2,5,4,8,6,7] => 4 [1,3,5,8,2,4,6,7] => 5 [1,3,5,6,2,7,4,8] => 4 [3,1,6,2,7,4,8,5] => 6 [3,6,7,1,2,8,4,5] => 4 [3,6,1,7,8,2,4,5] => 5 [3,6,7,8,1,2,4,5] => 4 [1,3,2,6,4,7,5,8] => 4 [3,1,2,6,7,4,8,5] => 5 [1,3,2,6,4,8,5,7] => 5 [1,3,2,6,4,5,7,8] => 3 [1,3,2,7,4,8,5,6] => 4 [1,3,2,7,4,5,6,8] => 3 [1,3,2,8,4,5,6,7] => 3 [3,1,2,4,5,8,6,7] => 4 [1,3,2,4,5,8,6,7] => 3 [4,1,5,2,6,3,8,7] => 5 [4,5,6,1,2,3,8,7] => 3 [4,1,5,6,8,2,3,7] => 4 [4,5,6,8,1,2,3,7] => 3 [4,1,5,2,7,3,8,6] => 6 [4,1,5,2,7,8,3,6] => 5 [4,5,7,1,2,8,3,6] => 5 [4,5,1,7,8,2,3,6] => 4 [4,5,7,8,1,2,3,6] => 4 [1,4,2,5,3,7,6,8] => 4 [1,4,2,5,3,8,6,7] => 5 [1,4,2,5,3,6,7,8] => 3 [1,4,5,6,7,2,3,8] => 2 [4,1,6,2,7,3,8,5] => 6 [4,6,7,1,8,2,3,5] => 4 [4,6,7,8,1,2,3,5] => 3 [1,4,2,6,3,7,5,8] => 5 [1,4,2,6,7,8,3,5] => 4 [1,4,2,6,3,8,5,7] => 6 [4,1,2,3,6,5,8,7] => 4 [1,4,2,6,3,5,7,8] => 4 [1,4,2,7,3,8,5,6] => 5 [4,7,1,2,3,5,6,8] => 4 [1,4,2,7,3,5,6,8] => 4 [1,4,2,3,7,5,6,8] => 4 [1,4,2,3,5,7,6,8] => 3 [1,4,2,8,3,5,6,7] => 4 [4,1,2,3,8,5,6,7] => 4 [1,4,2,3,5,8,6,7] => 4 [1,4,2,3,5,6,7,8] => 2 [5,1,6,2,7,3,8,4] => 5 [1,5,2,6,3,7,4,8] => 4 [1,5,2,6,3,8,4,7] => 5 [1,5,2,6,3,4,7,8] => 3 [1,2,5,6,3,4,7,8] => 2 [1,5,2,7,3,8,4,6] => 5 [5,7,1,2,3,4,6,8] => 3 [1,5,2,7,3,4,6,8] => 4 [1,5,2,3,4,7,6,8] => 3 [5,1,2,8,3,4,6,7] => 4 [1,5,2,8,3,4,6,7] => 4 [1,5,8,2,3,4,6,7] => 4 [1,5,2,3,4,8,6,7] => 4 [1,2,3,5,4,8,6,7] => 3 [5,1,2,3,4,6,8,7] => 3 [1,5,2,3,4,6,7,8] => 2 [1,6,2,7,3,8,4,5] => 4 [1,6,7,8,2,3,4,5] => 3 [6,7,1,2,3,4,8,5] => 3 [6,1,7,2,3,4,5,8] => 3 [6,1,2,7,3,4,5,8] => 4 [1,6,2,7,3,4,5,8] => 3 [1,6,7,2,3,4,5,8] => 2 [1,6,2,3,4,7,5,8] => 3 [1,2,3,6,4,7,5,8] => 3 [6,1,8,2,3,4,5,7] => 4 [1,6,2,8,3,4,5,7] => 4 [1,6,8,2,3,4,5,7] => 3 [1,6,2,3,4,8,5,7] => 4 [1,2,3,6,4,8,5,7] => 4 [6,1,2,3,4,5,8,7] => 3 [1,6,2,3,4,5,7,8] => 2 [1,2,3,6,4,5,7,8] => 2 [1,7,2,8,3,4,5,6] => 3 [1,7,8,2,3,4,5,6] => 2 [1,7,2,3,8,4,5,6] => 4 [7,1,2,3,4,8,5,6] => 4 [1,7,2,3,4,8,5,6] => 4 [1,2,3,7,4,8,5,6] => 3 [7,1,2,3,4,5,8,6] => 3 [1,7,2,3,4,5,8,6] => 3 [1,2,7,3,4,5,8,6] => 3 [1,7,2,3,4,5,6,8] => 2 [1,2,3,7,4,5,6,8] => 2 [1,8,2,3,4,5,6,7] => 2 [1,2,3,8,4,5,6,7] => 2 [1,2,3,4,5,8,6,7] => 2 [5,3,2,6,1,4,8,7] => 5 [7,3,2,5,4,8,1,6] => 4 [8,4,5,2,3,7,6,1] => 3 [7,4,5,2,3,8,1,6] => 4 [6,4,5,2,3,1,8,7] => 4 [5,4,6,2,1,3,8,7] => 4 [3,6,1,5,4,2,8,7] => 5 [4,6,5,1,3,2,8,7] => 4 [5,6,4,3,1,2,8,7] => 4 [7,5,4,3,2,8,1,6] => 4 [8,6,4,3,7,2,5,1] => 5 [7,6,4,3,8,2,1,5] => 5 [6,7,4,3,8,1,2,5] => 4 [5,7,4,3,1,8,2,6] => 6 [4,7,5,1,3,8,2,6] => 6 [3,7,1,5,4,8,2,6] => 5 [2,1,7,5,4,8,3,6] => 5 [3,8,1,5,4,7,6,2] => 4 [4,8,5,1,3,7,6,2] => 5 [5,8,4,3,1,7,6,2] => 5 [6,8,4,3,7,1,5,2] => 5 [7,8,4,3,6,5,1,2] => 4 [6,8,5,7,3,1,4,2] => 6 [5,8,6,7,1,3,4,2] => 5 [4,8,6,1,7,3,5,2] => 6 [3,8,1,6,7,4,5,2] => 4 [2,1,8,6,7,4,5,3] => 4 [2,1,7,6,8,4,3,5] => 4 [3,7,1,6,8,4,2,5] => 6 [4,7,6,1,8,3,2,5] => 4 [5,7,6,8,1,3,2,4] => 5 [5,4,7,2,1,8,3,6] => 4 [6,4,7,2,8,1,3,5] => 6 [7,4,6,2,8,3,1,5] => 6 [8,4,6,2,7,3,5,1] => 5 [8,3,2,6,7,4,5,1] => 3 [7,3,2,6,8,4,1,5] => 5 [6,3,2,7,8,1,4,5] => 4 [5,3,2,7,1,8,4,6] => 5 [4,3,2,1,7,8,5,6] => 3 [3,4,1,2,8,7,6,5] => 3 [5,3,2,8,1,7,6,4] => 4 [6,3,2,8,7,1,5,4] => 4 [7,3,2,8,6,5,1,4] => 5 [8,4,7,2,6,5,3,1] => 5 [7,4,8,2,6,5,1,3] => 5 [6,4,8,2,7,1,5,3] => 5 [5,4,8,2,1,7,6,3] => 4 [4,5,8,1,2,7,6,3] => 4 [3,5,1,8,2,7,6,4] => 5 [2,1,5,8,3,7,6,4] => 5 [2,1,6,8,7,3,5,4] => 4 [3,6,1,8,7,2,5,4] => 4 [4,6,8,1,7,2,5,3] => 6 [5,6,8,7,1,2,4,3] => 4 [6,5,8,7,2,1,4,3] => 4 [7,5,8,6,2,4,1,3] => 6 [8,5,7,6,2,4,3,1] => 5 [5,7,8,6,1,4,2,3] => 5 [4,7,8,1,6,5,2,3] => 4 [3,7,1,8,6,5,2,4] => 6 [2,1,7,8,6,5,3,4] => 4 [3,8,1,7,6,5,4,2] => 4 [4,8,7,1,6,5,3,2] => 5 [5,8,7,6,1,4,3,2] => 3 [6,8,7,5,4,1,3,2] => 5 ----------------------------------------------------------------------------- Created: Dec 15, 2016 at 17:57 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Jun 21, 2018 at 09:53 by Martin Rubey