***************************************************************************** * 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: St001760 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The number of prefix or suffix reversals needed to sort a permutation. A prefix reversal in a permutation $\pi = [\pi_1,\ldots,\pi_n]$ is a reversal of an initial subsequence of the form $\operatorname{reversal}_{j}(\pi) = [\pi_j,\ldots,\pi_{1},\pi_{j+1},\ldots,\pi_n]$ for $1 < j \leq n$. Final reversals are defined analogously. This statistic is then given by the minimal number of initial or final reversals needed to sort a permutation. ----------------------------------------------------------------------------- References: [1] The reversal length of a permutation. [[St000670]] [2] Hunter, Z. Variant of the pancake problem [[MathOverflow:413359]] ----------------------------------------------------------------------------- Code: def children(pi): pi = list(pi) n = len(pi) for j in range(n): for i in range(j): if i == 0 or j == n-1: 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] => 3 [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] => 3 [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] => 3 [1,2,4,5,3] => 2 [1,2,5,3,4] => 2 [1,2,5,4,3] => 1 [1,3,2,4,5] => 3 [1,3,2,5,4] => 3 [1,3,4,2,5] => 3 [1,3,4,5,2] => 2 [1,3,5,2,4] => 4 [1,3,5,4,2] => 3 [1,4,2,3,5] => 3 [1,4,2,5,3] => 4 [1,4,3,2,5] => 3 [1,4,3,5,2] => 3 [1,4,5,2,3] => 3 [1,4,5,3,2] => 2 [1,5,2,3,4] => 2 [1,5,2,4,3] => 3 [1,5,3,2,4] => 3 [1,5,3,4,2] => 3 [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] => 3 [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] => 4 [2,4,1,5,3] => 4 [2,4,3,1,5] => 3 [2,4,3,5,1] => 4 [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] => 4 [2,5,3,4,1] => 4 [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] => 4 [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] => 3 [3,2,4,5,1] => 3 [3,2,5,1,4] => 3 [3,2,5,4,1] => 2 [3,4,1,2,5] => 3 [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] => 4 [3,5,2,1,4] => 3 [3,5,2,4,1] => 4 [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] => 3 [4,1,3,5,2] => 4 [4,1,5,2,3] => 3 [4,1,5,3,2] => 3 [4,2,1,3,5] => 3 [4,2,1,5,3] => 3 [4,2,3,1,5] => 3 [4,2,3,5,1] => 4 [4,2,5,1,3] => 4 [4,2,5,3,1] => 4 [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] => 4 [5,1,3,4,2] => 4 [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] => 4 [5,2,3,4,1] => 3 [5,2,4,1,3] => 4 [5,2,4,3,1] => 3 [5,3,1,2,4] => 3 [5,3,1,4,2] => 4 [5,3,2,1,4] => 2 [5,3,2,4,1] => 3 [5,3,4,1,2] => 3 [5,3,4,2,1] => 4 [5,4,1,2,3] => 2 [5,4,1,3,2] => 3 [5,4,2,1,3] => 3 [5,4,2,3,1] => 4 [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] => 3 [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] => 3 [1,2,4,3,6,5] => 3 [1,2,4,5,3,6] => 3 [1,2,4,5,6,3] => 2 [1,2,4,6,3,5] => 4 [1,2,4,6,5,3] => 3 [1,2,5,3,4,6] => 3 [1,2,5,3,6,4] => 4 [1,2,5,4,3,6] => 3 [1,2,5,4,6,3] => 3 [1,2,5,6,3,4] => 3 [1,2,5,6,4,3] => 2 [1,2,6,3,4,5] => 2 [1,2,6,3,5,4] => 3 [1,2,6,4,3,5] => 3 [1,2,6,4,5,3] => 4 [1,2,6,5,3,4] => 2 [1,2,6,5,4,3] => 1 [1,3,2,4,5,6] => 3 [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] => 4 [1,3,2,6,5,4] => 3 [1,3,4,2,5,6] => 3 [1,3,4,2,6,5] => 3 [1,3,4,5,2,6] => 3 [1,3,4,5,6,2] => 2 [1,3,4,6,2,5] => 4 [1,3,4,6,5,2] => 3 [1,3,5,2,4,6] => 5 [1,3,5,2,6,4] => 5 [1,3,5,4,2,6] => 4 [1,3,5,4,6,2] => 5 [1,3,5,6,2,4] => 4 [1,3,5,6,4,2] => 4 [1,3,6,2,4,5] => 4 [1,3,6,2,5,4] => 4 [1,3,6,4,2,5] => 5 [1,3,6,4,5,2] => 4 [1,3,6,5,2,4] => 4 [1,3,6,5,4,2] => 3 [1,4,2,3,5,6] => 3 [1,4,2,3,6,5] => 3 [1,4,2,5,3,6] => 5 [1,4,2,5,6,3] => 4 [1,4,2,6,3,5] => 5 [1,4,2,6,5,3] => 4 [1,4,3,2,5,6] => 3 [1,4,3,2,6,5] => 4 [1,4,3,5,2,6] => 4 [1,4,3,5,6,2] => 3 [1,4,3,6,2,5] => 5 [1,4,3,6,5,2] => 4 [1,4,5,2,3,6] => 3 [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] => 3 [1,4,5,6,3,2] => 2 [1,4,6,2,3,5] => 4 [1,4,6,2,5,3] => 5 [1,4,6,3,2,5] => 4 [1,4,6,3,5,2] => 5 [1,4,6,5,2,3] => 4 [1,4,6,5,3,2] => 3 [1,5,2,3,4,6] => 3 [1,5,2,3,6,4] => 4 [1,5,2,4,3,6] => 4 [1,5,2,4,6,3] => 5 [1,5,2,6,3,4] => 4 [1,5,2,6,4,3] => 4 [1,5,3,2,4,6] => 4 [1,5,3,2,6,4] => 5 [1,5,3,4,2,6] => 5 [1,5,3,4,6,2] => 4 [1,5,3,6,2,4] => 5 [1,5,3,6,4,2] => 5 [1,5,4,2,3,6] => 4 [1,5,4,2,6,3] => 4 [1,5,4,3,2,6] => 3 [1,5,4,3,6,2] => 3 [1,5,4,6,2,3] => 4 [1,5,4,6,3,2] => 3 [1,5,6,2,3,4] => 3 [1,5,6,2,4,3] => 4 [1,5,6,3,2,4] => 4 [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] => 5 [1,6,2,4,5,3] => 4 [1,6,2,5,3,4] => 4 [1,6,2,5,4,3] => 3 [1,6,3,2,4,5] => 3 [1,6,3,2,5,4] => 4 [1,6,3,4,2,5] => 4 [1,6,3,4,5,2] => 3 [1,6,3,5,2,4] => 5 [1,6,3,5,4,2] => 4 [1,6,4,2,3,5] => 4 [1,6,4,2,5,3] => 5 [1,6,4,3,2,5] => 3 [1,6,4,3,5,2] => 4 [1,6,4,5,2,3] => 3 [1,6,4,5,3,2] => 4 [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] => 4 [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] => 4 [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] => 3 [2,1,4,3,6,5] => 4 [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] => 4 [2,1,5,3,4,6] => 3 [2,1,5,3,6,4] => 4 [2,1,5,4,3,6] => 4 [2,1,5,4,6,3] => 4 [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] => 4 [2,1,6,4,3,5] => 4 [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] => 4 [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] => 4 [2,3,5,1,6,4] => 4 [2,3,5,4,1,6] => 3 [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] => 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] => 4 [2,4,1,3,6,5] => 4 [2,4,1,5,3,6] => 5 [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] => 3 [2,4,3,1,6,5] => 4 [2,4,3,5,1,6] => 5 [2,4,3,5,6,1] => 4 [2,4,3,6,1,5] => 5 [2,4,3,6,5,1] => 4 [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] => 5 [2,4,5,6,1,3] => 3 [2,4,5,6,3,1] => 3 [2,4,6,1,3,5] => 5 [2,4,6,1,5,3] => 5 [2,4,6,3,1,5] => 5 [2,4,6,3,5,1] => 5 [2,4,6,5,1,3] => 4 [2,4,6,5,3,1] => 4 [2,5,1,3,4,6] => 4 [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] => 4 [2,5,1,6,4,3] => 4 [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] => 5 [2,5,3,6,1,4] => 5 [2,5,3,6,4,1] => 5 [2,5,4,1,3,6] => 4 [2,5,4,1,6,3] => 5 [2,5,4,3,1,6] => 3 [2,5,4,3,6,1] => 4 [2,5,4,6,1,3] => 4 [2,5,4,6,3,1] => 4 [2,5,6,1,3,4] => 3 [2,5,6,1,4,3] => 4 [2,5,6,3,1,4] => 4 [2,5,6,3,4,1] => 4 [2,5,6,4,1,3] => 4 [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] => 5 [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] => 4 [2,6,3,4,1,5] => 4 [2,6,3,4,5,1] => 4 [2,6,3,5,1,4] => 5 [2,6,3,5,4,1] => 4 [2,6,4,1,3,5] => 5 [2,6,4,1,5,3] => 5 [2,6,4,3,1,5] => 4 [2,6,4,3,5,1] => 4 [2,6,4,5,1,3] => 4 [2,6,4,5,3,1] => 5 [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] => 4 [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] => 4 [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] => 4 [3,1,4,2,6,5] => 4 [3,1,4,5,2,6] => 4 [3,1,4,5,6,2] => 3 [3,1,4,6,2,5] => 5 [3,1,4,6,5,2] => 4 [3,1,5,2,4,6] => 5 [3,1,5,2,6,4] => 5 [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] => 4 [3,1,6,2,4,5] => 4 [3,1,6,2,5,4] => 4 [3,1,6,4,2,5] => 5 [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] => 3 [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] => 3 [3,2,4,1,6,5] => 4 [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] => 4 [3,2,5,1,4,6] => 4 [3,2,5,1,6,4] => 4 [3,2,5,4,1,6] => 4 [3,2,5,4,6,1] => 4 [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] => 4 [3,2,6,4,1,5] => 4 [3,2,6,4,5,1] => 4 [3,2,6,5,1,4] => 3 [3,2,6,5,4,1] => 2 [3,4,1,2,5,6] => 3 [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] => 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] => 4 [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] => 3 [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] => 4 [3,5,1,2,6,4] => 4 [3,5,1,4,2,6] => 5 [3,5,1,4,6,2] => 5 [3,5,1,6,2,4] => 5 [3,5,1,6,4,2] => 5 [3,5,2,1,4,6] => 4 [3,5,2,1,6,4] => 4 [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] => 4 [3,5,4,1,6,2] => 4 [3,5,4,2,1,6] => 3 [3,5,4,2,6,1] => 4 [3,5,4,6,1,2] => 4 [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] => 3 [3,5,6,2,4,1] => 4 [3,5,6,4,1,2] => 3 [3,5,6,4,2,1] => 4 [3,6,1,2,4,5] => 4 [3,6,1,2,5,4] => 3 [3,6,1,4,2,5] => 5 [3,6,1,4,5,2] => 4 [3,6,1,5,2,4] => 5 [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] => 5 [3,6,2,4,5,1] => 4 [3,6,2,5,1,4] => 5 [3,6,2,5,4,1] => 4 [3,6,4,1,2,5] => 4 [3,6,4,1,5,2] => 5 [3,6,4,2,1,5] => 4 [3,6,4,2,5,1] => 5 [3,6,4,5,1,2] => 4 [3,6,4,5,2,1] => 4 [3,6,5,1,2,4] => 3 [3,6,5,1,4,2] => 4 [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] => 4 [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] => 3 [4,1,3,2,6,5] => 4 [4,1,3,5,2,6] => 5 [4,1,3,5,6,2] => 4 [4,1,3,6,2,5] => 5 [4,1,3,6,5,2] => 4 [4,1,5,2,3,6] => 4 [4,1,5,2,6,3] => 5 [4,1,5,3,2,6] => 4 [4,1,5,3,6,2] => 5 [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] => 5 [4,1,6,3,2,5] => 5 [4,1,6,3,5,2] => 5 [4,1,6,5,2,3] => 4 [4,1,6,5,3,2] => 3 [4,2,1,3,5,6] => 3 [4,2,1,3,6,5] => 4 [4,2,1,5,3,6] => 4 [4,2,1,5,6,3] => 3 [4,2,1,6,3,5] => 4 [4,2,1,6,5,3] => 4 [4,2,3,1,5,6] => 4 [4,2,3,1,6,5] => 3 [4,2,3,5,1,6] => 4 [4,2,3,5,6,1] => 4 [4,2,3,6,1,5] => 4 [4,2,3,6,5,1] => 4 [4,2,5,1,3,6] => 5 [4,2,5,1,6,3] => 5 [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] => 4 [4,2,6,1,3,5] => 5 [4,2,6,1,5,3] => 5 [4,2,6,3,1,5] => 5 [4,2,6,3,5,1] => 5 [4,2,6,5,1,3] => 4 [4,2,6,5,3,1] => 4 [4,3,1,2,5,6] => 2 [4,3,1,2,6,5] => 3 [4,3,1,5,2,6] => 4 [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] => 3 [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] => 4 [4,3,5,1,6,2] => 4 [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] => 4 [4,3,6,1,5,2] => 4 [4,3,6,2,1,5] => 3 [4,3,6,2,5,1] => 4 [4,3,6,5,1,2] => 2 [4,3,6,5,2,1] => 3 [4,5,1,2,3,6] => 3 [4,5,1,2,6,3] => 3 [4,5,1,3,2,6] => 4 [4,5,1,3,6,2] => 4 [4,5,1,6,2,3] => 4 [4,5,1,6,3,2] => 3 [4,5,2,1,3,6] => 4 [4,5,2,1,6,3] => 4 [4,5,2,3,1,6] => 3 [4,5,2,3,6,1] => 4 [4,5,2,6,1,3] => 4 [4,5,2,6,3,1] => 4 [4,5,3,1,2,6] => 3 [4,5,3,1,6,2] => 4 [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] => 4 [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] => 4 [4,6,1,3,5,2] => 5 [4,6,1,5,2,3] => 4 [4,6,1,5,3,2] => 4 [4,6,2,1,3,5] => 4 [4,6,2,1,5,3] => 4 [4,6,2,3,1,5] => 4 [4,6,2,3,5,1] => 5 [4,6,2,5,1,3] => 5 [4,6,2,5,3,1] => 5 [4,6,3,1,2,5] => 4 [4,6,3,1,5,2] => 5 [4,6,3,2,1,5] => 3 [4,6,3,2,5,1] => 4 [4,6,3,5,1,2] => 4 [4,6,3,5,2,1] => 5 [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] => 4 [4,6,5,3,1,2] => 4 [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] => 5 [5,1,3,2,6,4] => 5 [5,1,3,4,2,6] => 4 [5,1,3,4,6,2] => 4 [5,1,3,6,2,4] => 5 [5,1,3,6,4,2] => 5 [5,1,4,2,3,6] => 4 [5,1,4,2,6,3] => 5 [5,1,4,3,2,6] => 3 [5,1,4,3,6,2] => 4 [5,1,4,6,2,3] => 4 [5,1,4,6,3,2] => 4 [5,1,6,2,3,4] => 3 [5,1,6,2,4,3] => 4 [5,1,6,3,2,4] => 4 [5,1,6,3,4,2] => 4 [5,1,6,4,2,3] => 4 [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] => 4 [5,2,1,4,6,3] => 4 [5,2,1,6,3,4] => 3 [5,2,1,6,4,3] => 3 [5,2,3,1,4,6] => 4 [5,2,3,1,6,4] => 4 [5,2,3,4,1,6] => 3 [5,2,3,4,6,1] => 4 [5,2,3,6,1,4] => 4 [5,2,3,6,4,1] => 4 [5,2,4,1,3,6] => 5 [5,2,4,1,6,3] => 5 [5,2,4,3,1,6] => 4 [5,2,4,3,6,1] => 4 [5,2,4,6,1,3] => 5 [5,2,4,6,3,1] => 5 [5,2,6,1,3,4] => 4 [5,2,6,1,4,3] => 4 [5,2,6,3,1,4] => 5 [5,2,6,3,4,1] => 5 [5,2,6,4,1,3] => 5 [5,2,6,4,3,1] => 4 [5,3,1,2,4,6] => 4 [5,3,1,2,6,4] => 4 [5,3,1,4,2,6] => 5 [5,3,1,4,6,2] => 5 [5,3,1,6,2,4] => 5 [5,3,1,6,4,2] => 5 [5,3,2,1,4,6] => 3 [5,3,2,1,6,4] => 3 [5,3,2,4,1,6] => 4 [5,3,2,4,6,1] => 4 [5,3,2,6,1,4] => 4 [5,3,2,6,4,1] => 4 [5,3,4,1,2,6] => 3 [5,3,4,1,6,2] => 4 [5,3,4,2,1,6] => 4 [5,3,4,2,6,1] => 5 [5,3,4,6,1,2] => 4 [5,3,4,6,2,1] => 4 [5,3,6,1,2,4] => 4 [5,3,6,1,4,2] => 5 [5,3,6,2,1,4] => 4 [5,3,6,2,4,1] => 5 [5,3,6,4,1,2] => 4 [5,3,6,4,2,1] => 5 [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] => 4 [5,4,2,3,6,1] => 4 [5,4,2,6,1,3] => 4 [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] => 4 [5,4,6,3,1,2] => 4 [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] => 4 [5,6,1,3,4,2] => 4 [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] => 4 [5,6,2,3,4,1] => 3 [5,6,2,4,1,3] => 4 [5,6,2,4,3,1] => 3 [5,6,3,1,2,4] => 3 [5,6,3,1,4,2] => 4 [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] => 4 [5,6,4,1,2,3] => 3 [5,6,4,1,3,2] => 4 [5,6,4,2,1,3] => 4 [5,6,4,2,3,1] => 5 [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] => 4 [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] => 4 [6,1,3,2,5,4] => 4 [6,1,3,4,2,5] => 5 [6,1,3,4,5,2] => 4 [6,1,3,5,2,4] => 5 [6,1,3,5,4,2] => 4 [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] => 4 [6,1,4,5,3,2] => 4 [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] => 5 [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] => 4 [6,2,1,4,3,5] => 4 [6,2,1,4,5,3] => 4 [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] => 4 [6,2,3,4,1,5] => 4 [6,2,3,4,5,1] => 3 [6,2,3,5,1,4] => 4 [6,2,3,5,4,1] => 3 [6,2,4,1,3,5] => 5 [6,2,4,1,5,3] => 5 [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] => 4 [6,2,5,1,4,3] => 4 [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] => 3 [6,3,1,2,4,5] => 4 [6,3,1,2,5,4] => 3 [6,3,1,4,2,5] => 5 [6,3,1,4,5,2] => 4 [6,3,1,5,2,4] => 5 [6,3,1,5,4,2] => 4 [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] => 4 [6,3,2,5,4,1] => 4 [6,3,4,1,2,5] => 4 [6,3,4,1,5,2] => 5 [6,3,4,2,1,5] => 4 [6,3,4,2,5,1] => 5 [6,3,4,5,1,2] => 3 [6,3,4,5,2,1] => 4 [6,3,5,1,2,4] => 4 [6,3,5,1,4,2] => 5 [6,3,5,2,1,4] => 4 [6,3,5,2,4,1] => 5 [6,3,5,4,1,2] => 3 [6,3,5,4,2,1] => 4 [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] => 5 [6,4,1,5,2,3] => 4 [6,4,1,5,3,2] => 4 [6,4,2,1,3,5] => 4 [6,4,2,1,5,3] => 4 [6,4,2,3,1,5] => 5 [6,4,2,3,5,1] => 5 [6,4,2,5,1,3] => 5 [6,4,2,5,3,1] => 5 [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] => 4 [6,4,5,1,2,3] => 3 [6,4,5,1,3,2] => 4 [6,4,5,2,1,3] => 4 [6,4,5,2,3,1] => 5 [6,4,5,3,1,2] => 5 [6,4,5,3,2,1] => 4 [6,5,1,2,3,4] => 2 [6,5,1,2,4,3] => 3 [6,5,1,3,2,4] => 5 [6,5,1,3,4,2] => 4 [6,5,1,4,2,3] => 4 [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] => 4 [6,5,2,3,4,1] => 4 [6,5,2,4,1,3] => 5 [6,5,2,4,3,1] => 4 [6,5,3,1,2,4] => 4 [6,5,3,1,4,2] => 5 [6,5,3,2,1,4] => 3 [6,5,3,2,4,1] => 4 [6,5,3,4,1,2] => 4 [6,5,3,4,2,1] => 4 [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] => 4 [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] => 3 [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] => 3 [1,2,3,5,4,7,6] => 3 [1,2,3,5,6,4,7] => 3 [1,2,3,5,6,7,4] => 2 [1,2,3,5,7,4,6] => 4 [1,2,3,5,7,6,4] => 3 [1,2,3,6,4,5,7] => 3 [1,2,3,6,4,7,5] => 4 [1,2,3,6,5,4,7] => 3 [1,2,3,6,5,7,4] => 3 [1,2,3,6,7,4,5] => 3 [1,2,3,6,7,5,4] => 2 [1,2,3,7,4,5,6] => 2 [1,2,3,7,4,6,5] => 3 [1,2,3,7,5,4,6] => 3 [1,2,3,7,5,6,4] => 4 [1,2,3,7,6,4,5] => 2 [1,2,3,7,6,5,4] => 1 [1,2,4,3,5,6,7] => 3 [1,2,4,3,5,7,6] => 4 [1,2,4,3,6,5,7] => 5 [1,2,4,3,6,7,5] => 4 [1,2,4,3,7,5,6] => 4 [1,2,4,3,7,6,5] => 3 [1,2,4,5,3,6,7] => 4 [1,2,4,5,3,7,6] => 3 [1,2,4,5,6,3,7] => 3 [1,2,4,5,6,7,3] => 2 [1,2,4,5,7,3,6] => 4 [1,2,4,5,7,6,3] => 3 [1,2,4,6,3,5,7] => 5 [1,2,4,6,3,7,5] => 5 [1,2,4,6,5,3,7] => 5 [1,2,4,6,5,7,3] => 5 [1,2,4,6,7,3,5] => 4 [1,2,4,6,7,5,3] => 4 [1,2,4,7,3,5,6] => 4 [1,2,4,7,3,6,5] => 4 [1,2,4,7,5,3,6] => 5 [1,2,4,7,5,6,3] => 4 [1,2,4,7,6,3,5] => 4 [1,2,4,7,6,5,3] => 3 [1,2,5,3,4,6,7] => 4 [1,2,5,3,4,7,6] => 3 [1,2,5,3,6,4,7] => 5 [1,2,5,3,6,7,4] => 4 [1,2,5,3,7,4,6] => 5 [1,2,5,3,7,6,4] => 4 [1,2,5,4,3,6,7] => 3 [1,2,5,4,3,7,6] => 4 [1,2,5,4,6,3,7] => 4 [1,2,5,4,6,7,3] => 3 [1,2,5,4,7,3,6] => 5 [1,2,5,4,7,6,3] => 4 [1,2,5,6,3,4,7] => 3 [1,2,5,6,3,7,4] => 4 [1,2,5,6,4,3,7] => 4 [1,2,5,6,4,7,3] => 4 [1,2,5,6,7,3,4] => 3 [1,2,5,6,7,4,3] => 2 [1,2,5,7,3,4,6] => 4 [1,2,5,7,3,6,4] => 5 [1,2,5,7,4,3,6] => 4 [1,2,5,7,4,6,3] => 5 [1,2,5,7,6,3,4] => 4 [1,2,5,7,6,4,3] => 3 [1,2,6,3,4,5,7] => 3 [1,2,6,3,4,7,5] => 4 [1,2,6,3,5,4,7] => 5 [1,2,6,3,5,7,4] => 5 [1,2,6,3,7,4,5] => 4 [1,2,6,3,7,5,4] => 4 [1,2,6,4,3,5,7] => 4 [1,2,6,4,3,7,5] => 5 [1,2,6,4,5,3,7] => 5 [1,2,6,4,5,7,3] => 4 [1,2,6,4,7,3,5] => 5 [1,2,6,4,7,5,3] => 5 [1,2,6,5,3,4,7] => 4 [1,2,6,5,3,7,4] => 4 [1,2,6,5,4,3,7] => 3 [1,2,6,5,4,7,3] => 3 [1,2,6,5,7,3,4] => 4 [1,2,6,5,7,4,3] => 3 [1,2,6,7,3,4,5] => 3 [1,2,6,7,3,5,4] => 4 [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] => 2 [1,2,7,3,4,5,6] => 2 [1,2,7,3,4,6,5] => 3 [1,2,7,3,5,4,6] => 5 [1,2,7,3,5,6,4] => 4 [1,2,7,3,6,4,5] => 4 [1,2,7,3,6,5,4] => 3 [1,2,7,4,3,5,6] => 3 [1,2,7,4,3,6,5] => 4 [1,2,7,4,5,3,6] => 4 [1,2,7,4,5,6,3] => 4 [1,2,7,4,6,3,5] => 5 [1,2,7,4,6,5,3] => 4 [1,2,7,5,3,4,6] => 4 [1,2,7,5,3,6,4] => 5 [1,2,7,5,4,3,6] => 3 [1,2,7,5,4,6,3] => 4 [1,2,7,5,6,3,4] => 4 [1,2,7,5,6,4,3] => 4 [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] => 4 [1,2,7,6,5,3,4] => 2 [1,2,7,6,5,4,3] => 1 [1,3,2,4,5,6,7] => 3 [1,3,2,4,5,7,6] => 4 [1,3,2,4,6,5,7] => 6 [1,3,2,4,6,7,5] => 5 [1,3,2,4,7,5,6] => 5 [1,3,2,4,7,6,5] => 4 [1,3,2,5,4,6,7] => 5 [1,3,2,5,4,7,6] => 4 [1,3,2,5,6,4,7] => 5 [1,3,2,5,6,7,4] => 4 [1,3,2,5,7,4,6] => 6 [1,3,2,5,7,6,4] => 5 [1,3,2,6,4,5,7] => 5 [1,3,2,6,4,7,5] => 6 [1,3,2,6,5,4,7] => 4 [1,3,2,6,5,7,4] => 5 [1,3,2,6,7,4,5] => 5 [1,3,2,6,7,5,4] => 4 [1,3,2,7,4,5,6] => 4 [1,3,2,7,4,6,5] => 5 [1,3,2,7,5,4,6] => 5 [1,3,2,7,5,6,4] => 5 [1,3,2,7,6,4,5] => 4 [1,3,2,7,6,5,4] => 3 [1,3,4,2,5,6,7] => 3 [1,3,4,2,5,7,6] => 4 [1,3,4,2,6,5,7] => 5 [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] => 3 [1,3,4,5,2,7,6] => 3 [1,3,4,5,6,2,7] => 3 [1,3,4,5,6,7,2] => 2 [1,3,4,5,7,2,6] => 4 [1,3,4,5,7,6,2] => 3 [1,3,4,6,2,5,7] => 5 [1,3,4,6,2,7,5] => 5 [1,3,4,6,5,2,7] => 4 [1,3,4,6,5,7,2] => 5 [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] => 4 [1,3,4,7,5,2,6] => 5 [1,3,4,7,5,6,2] => 4 [1,3,4,7,6,2,5] => 4 [1,3,4,7,6,5,2] => 3 [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] => 6 [1,3,5,2,7,6,4] => 5 [1,3,5,4,2,6,7] => 4 [1,3,5,4,2,7,6] => 4 [1,3,5,4,6,2,7] => 6 [1,3,5,4,6,7,2] => 5 [1,3,5,4,7,2,6] => 6 [1,3,5,4,7,6,2] => 5 [1,3,5,6,2,4,7] => 5 [1,3,5,6,2,7,4] => 5 [1,3,5,6,4,2,7] => 5 [1,3,5,6,4,7,2] => 5 [1,3,5,6,7,2,4] => 4 [1,3,5,6,7,4,2] => 4 [1,3,5,7,2,4,6] => 6 [1,3,5,7,2,6,4] => 6 [1,3,5,7,4,2,6] => 6 [1,3,5,7,4,6,2] => 6 [1,3,5,7,6,2,4] => 5 [1,3,5,7,6,4,2] => 5 [1,3,6,2,4,5,7] => 5 [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] => 5 [1,3,6,2,7,5,4] => 5 [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] => 5 [1,3,6,4,7,2,5] => 6 [1,3,6,4,7,5,2] => 6 [1,3,6,5,2,4,7] => 6 [1,3,6,5,2,7,4] => 5 [1,3,6,5,4,2,7] => 4 [1,3,6,5,4,7,2] => 5 [1,3,6,5,7,2,4] => 5 [1,3,6,5,7,4,2] => 5 [1,3,6,7,2,4,5] => 5 [1,3,6,7,2,5,4] => 4 [1,3,6,7,4,2,5] => 5 [1,3,6,7,4,5,2] => 5 [1,3,6,7,5,2,4] => 5 [1,3,6,7,5,4,2] => 4 [1,3,7,2,4,5,6] => 4 [1,3,7,2,4,6,5] => 5 [1,3,7,2,5,4,6] => 5 [1,3,7,2,5,6,4] => 5 [1,3,7,2,6,4,5] => 5 [1,3,7,2,6,5,4] => 4 [1,3,7,4,2,5,6] => 5 [1,3,7,4,2,6,5] => 5 [1,3,7,4,5,2,6] => 5 [1,3,7,4,5,6,2] => 4 [1,3,7,4,6,2,5] => 6 [1,3,7,4,6,5,2] => 5 [1,3,7,5,2,4,6] => 6 [1,3,7,5,2,6,4] => 6 [1,3,7,5,4,2,6] => 5 [1,3,7,5,4,6,2] => 5 [1,3,7,5,6,2,4] => 5 [1,3,7,5,6,4,2] => 6 [1,3,7,6,2,4,5] => 4 [1,3,7,6,2,5,4] => 4 [1,3,7,6,4,2,5] => 5 [1,3,7,6,4,5,2] => 4 [1,3,7,6,5,2,4] => 4 [1,3,7,6,5,4,2] => 3 [1,4,2,3,5,6,7] => 3 [1,4,2,3,5,7,6] => 4 [1,4,2,3,6,5,7] => 5 [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] => 5 [1,4,2,5,3,7,6] => 5 [1,4,2,5,6,3,7] => 5 [1,4,2,5,6,7,3] => 4 [1,4,2,5,7,3,6] => 6 [1,4,2,5,7,6,3] => 5 [1,4,2,6,3,5,7] => 6 [1,4,2,6,3,7,5] => 6 [1,4,2,6,5,3,7] => 6 [1,4,2,6,5,7,3] => 5 [1,4,2,6,7,3,5] => 5 [1,4,2,6,7,5,3] => 5 [1,4,2,7,3,5,6] => 5 [1,4,2,7,3,6,5] => 5 [1,4,2,7,5,3,6] => 6 [1,4,2,7,5,6,3] => 5 [1,4,2,7,6,3,5] => 5 [1,4,2,7,6,5,3] => 4 [1,4,3,2,5,6,7] => 3 [1,4,3,2,5,7,6] => 4 [1,4,3,2,6,5,7] => 4 [1,4,3,2,6,7,5] => 5 [1,4,3,2,7,5,6] => 5 [1,4,3,2,7,6,5] => 4 [1,4,3,5,2,6,7] => 5 [1,4,3,5,2,7,6] => 4 [1,4,3,5,6,2,7] => 4 [1,4,3,5,6,7,2] => 3 [1,4,3,5,7,2,6] => 5 [1,4,3,5,7,6,2] => 4 [1,4,3,6,2,5,7] => 6 [1,4,3,6,2,7,5] => 5 [1,4,3,6,5,2,7] => 4 [1,4,3,6,5,7,2] => 5 [1,4,3,6,7,2,5] => 5 [1,4,3,6,7,5,2] => 5 [1,4,3,7,2,5,6] => 5 [1,4,3,7,2,6,5] => 5 [1,4,3,7,5,2,6] => 5 [1,4,3,7,5,6,2] => 5 [1,4,3,7,6,2,5] => 5 [1,4,3,7,6,5,2] => 4 [1,4,5,2,3,6,7] => 3 [1,4,5,2,3,7,6] => 3 [1,4,5,2,6,3,7] => 5 [1,4,5,2,6,7,3] => 4 [1,4,5,2,7,3,6] => 5 [1,4,5,2,7,6,3] => 4 [1,4,5,3,2,6,7] => 4 [1,4,5,3,2,7,6] => 4 [1,4,5,3,6,2,7] => 5 [1,4,5,3,6,7,2] => 4 [1,4,5,3,7,2,6] => 5 [1,4,5,3,7,6,2] => 4 [1,4,5,6,2,3,7] => 3 [1,4,5,6,2,7,3] => 4 [1,4,5,6,3,2,7] => 4 [1,4,5,6,3,7,2] => 4 [1,4,5,6,7,2,3] => 3 [1,4,5,6,7,3,2] => 2 [1,4,5,7,2,3,6] => 4 [1,4,5,7,2,6,3] => 5 [1,4,5,7,3,2,6] => 4 [1,4,5,7,3,6,2] => 5 [1,4,5,7,6,2,3] => 4 [1,4,5,7,6,3,2] => 3 [1,4,6,2,3,5,7] => 5 [1,4,6,2,3,7,5] => 5 [1,4,6,2,5,3,7] => 6 [1,4,6,2,5,7,3] => 6 [1,4,6,2,7,3,5] => 6 [1,4,6,2,7,5,3] => 6 [1,4,6,3,2,5,7] => 6 [1,4,6,3,2,7,5] => 5 [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] => 4 [1,4,6,5,2,7,3] => 5 [1,4,6,5,3,2,7] => 5 ----------------------------------------------------------------------------- Created: Jan 08, 2022 at 08:48 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Jan 08, 2022 at 08:48 by Christian Stump