***************************************************************************** * 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: St000458 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The number of permutations obtained by switching adjacencies or successions. For a permutation $\pi$, this statistic is the size of its equivalence class of the equivalence relation generated by the interchange of any two adjacent elements $\pi_i$ and $\pi_{i+1}$ such that $|\pi_i - \pi_{i+1}| = 1$. ----------------------------------------------------------------------------- References: [1] Stanley, R. P. An equivalence relation on the symmetric group and multiplicity-free flag $h$-vectors [[MathSciNet:3029438]] [[arXiv:1208.3540]] [2] Amdeberhan, T. "flavored" equivalence classes of permutations [[MathOverflow:256673]] ----------------------------------------------------------------------------- Code: def statistic(pi): def children(a): for i in range(len(a)-1): d = a[i] - a[i+1] if d == 1 or d == -1: yield Permutation(a[:i] + [a[i+1], a[i]] + a[i+2:]) return len([1 for pi in RecursivelyEnumeratedSet([Permutation(pi)], children)]) ----------------------------------------------------------------------------- Statistic values: [1] => 1 [1,2] => 2 [2,1] => 2 [1,2,3] => 3 [1,3,2] => 3 [2,1,3] => 3 [2,3,1] => 3 [3,1,2] => 3 [3,2,1] => 3 [1,2,3,4] => 5 [1,2,4,3] => 5 [1,3,2,4] => 5 [1,3,4,2] => 3 [1,4,2,3] => 3 [1,4,3,2] => 3 [2,1,3,4] => 5 [2,1,4,3] => 5 [2,3,1,4] => 3 [2,3,4,1] => 3 [2,4,1,3] => 1 [2,4,3,1] => 3 [3,1,2,4] => 3 [3,1,4,2] => 1 [3,2,1,4] => 3 [3,2,4,1] => 3 [3,4,1,2] => 5 [3,4,2,1] => 5 [4,1,2,3] => 3 [4,1,3,2] => 3 [4,2,1,3] => 3 [4,2,3,1] => 5 [4,3,1,2] => 5 [4,3,2,1] => 5 [1,2,3,4,5] => 8 [1,2,3,5,4] => 8 [1,2,4,3,5] => 8 [1,2,4,5,3] => 6 [1,2,5,3,4] => 6 [1,2,5,4,3] => 6 [1,3,2,4,5] => 8 [1,3,2,5,4] => 8 [1,3,4,2,5] => 3 [1,3,4,5,2] => 3 [1,3,5,2,4] => 1 [1,3,5,4,2] => 3 [1,4,2,3,5] => 3 [1,4,2,5,3] => 1 [1,4,3,2,5] => 3 [1,4,3,5,2] => 3 [1,4,5,2,3] => 5 [1,4,5,3,2] => 5 [1,5,2,3,4] => 3 [1,5,2,4,3] => 3 [1,5,3,2,4] => 3 [1,5,3,4,2] => 5 [1,5,4,2,3] => 5 [1,5,4,3,2] => 5 [2,1,3,4,5] => 8 [2,1,3,5,4] => 8 [2,1,4,3,5] => 8 [2,1,4,5,3] => 6 [2,1,5,3,4] => 6 [2,1,5,4,3] => 6 [2,3,1,4,5] => 6 [2,3,1,5,4] => 6 [2,3,4,1,5] => 3 [2,3,4,5,1] => 5 [2,3,5,1,4] => 2 [2,3,5,4,1] => 5 [2,4,1,3,5] => 1 [2,4,1,5,3] => 1 [2,4,3,1,5] => 3 [2,4,3,5,1] => 5 [2,4,5,1,3] => 2 [2,4,5,3,1] => 3 [2,5,1,3,4] => 2 [2,5,1,4,3] => 2 [2,5,3,1,4] => 1 [2,5,3,4,1] => 3 [2,5,4,1,3] => 2 [2,5,4,3,1] => 3 [3,1,2,4,5] => 6 [3,1,2,5,4] => 6 [3,1,4,2,5] => 1 [3,1,4,5,2] => 2 [3,1,5,2,4] => 1 [3,1,5,4,2] => 2 [3,2,1,4,5] => 6 [3,2,1,5,4] => 6 [3,2,4,1,5] => 3 [3,2,4,5,1] => 5 [3,2,5,1,4] => 2 [3,2,5,4,1] => 5 [3,4,1,2,5] => 5 [3,4,1,5,2] => 2 [3,4,2,1,5] => 5 [3,4,2,5,1] => 3 [3,4,5,1,2] => 6 [3,4,5,2,1] => 6 [3,5,1,2,4] => 2 [3,5,1,4,2] => 1 [3,5,2,1,4] => 2 [3,5,2,4,1] => 1 [3,5,4,1,2] => 6 [3,5,4,2,1] => 6 [4,1,2,3,5] => 3 [4,1,2,5,3] => 2 [4,1,3,2,5] => 3 [4,1,3,5,2] => 1 [4,1,5,2,3] => 2 [4,1,5,3,2] => 2 [4,2,1,3,5] => 3 [4,2,1,5,3] => 2 [4,2,3,1,5] => 5 [4,2,3,5,1] => 3 [4,2,5,1,3] => 1 [4,2,5,3,1] => 1 [4,3,1,2,5] => 5 [4,3,1,5,2] => 2 [4,3,2,1,5] => 5 [4,3,2,5,1] => 3 [4,3,5,1,2] => 6 [4,3,5,2,1] => 6 [4,5,1,2,3] => 6 [4,5,1,3,2] => 6 [4,5,2,1,3] => 6 [4,5,2,3,1] => 8 [4,5,3,1,2] => 8 [4,5,3,2,1] => 8 [5,1,2,3,4] => 5 [5,1,2,4,3] => 5 [5,1,3,2,4] => 5 [5,1,3,4,2] => 3 [5,1,4,2,3] => 3 [5,1,4,3,2] => 3 [5,2,1,3,4] => 5 [5,2,1,4,3] => 5 [5,2,3,1,4] => 3 [5,2,3,4,1] => 3 [5,2,4,1,3] => 1 [5,2,4,3,1] => 3 [5,3,1,2,4] => 3 [5,3,1,4,2] => 1 [5,3,2,1,4] => 3 [5,3,2,4,1] => 3 [5,3,4,1,2] => 8 [5,3,4,2,1] => 8 [5,4,1,2,3] => 6 [5,4,1,3,2] => 6 [5,4,2,1,3] => 6 [5,4,2,3,1] => 8 [5,4,3,1,2] => 8 [5,4,3,2,1] => 8 [1,2,3,4,5,6] => 13 [1,2,3,4,6,5] => 13 [1,2,3,5,4,6] => 13 [1,2,3,5,6,4] => 9 [1,2,3,6,4,5] => 9 [1,2,3,6,5,4] => 9 [1,2,4,3,5,6] => 13 [1,2,4,3,6,5] => 13 [1,2,4,5,3,6] => 6 [1,2,4,5,6,3] => 6 [1,2,4,6,3,5] => 2 [1,2,4,6,5,3] => 6 [1,2,5,3,4,6] => 6 [1,2,5,3,6,4] => 2 [1,2,5,4,3,6] => 6 [1,2,5,4,6,3] => 6 [1,2,5,6,3,4] => 10 [1,2,5,6,4,3] => 10 [1,2,6,3,4,5] => 6 [1,2,6,3,5,4] => 6 [1,2,6,4,3,5] => 6 [1,2,6,4,5,3] => 10 [1,2,6,5,3,4] => 10 [1,2,6,5,4,3] => 10 [1,3,2,4,5,6] => 13 [1,3,2,4,6,5] => 13 [1,3,2,5,4,6] => 13 [1,3,2,5,6,4] => 9 [1,3,2,6,4,5] => 9 [1,3,2,6,5,4] => 9 [1,3,4,2,5,6] => 6 [1,3,4,2,6,5] => 6 [1,3,4,5,2,6] => 3 [1,3,4,5,6,2] => 5 [1,3,4,6,2,5] => 2 [1,3,4,6,5,2] => 5 [1,3,5,2,4,6] => 1 [1,3,5,2,6,4] => 1 [1,3,5,4,2,6] => 3 [1,3,5,4,6,2] => 5 [1,3,5,6,2,4] => 2 [1,3,5,6,4,2] => 3 [1,3,6,2,4,5] => 2 [1,3,6,2,5,4] => 2 [1,3,6,4,2,5] => 1 [1,3,6,4,5,2] => 3 [1,3,6,5,2,4] => 2 [1,3,6,5,4,2] => 3 [1,4,2,3,5,6] => 6 [1,4,2,3,6,5] => 6 [1,4,2,5,3,6] => 1 [1,4,2,5,6,3] => 2 [1,4,2,6,3,5] => 1 [1,4,2,6,5,3] => 2 [1,4,3,2,5,6] => 6 [1,4,3,2,6,5] => 6 [1,4,3,5,2,6] => 3 [1,4,3,5,6,2] => 5 [1,4,3,6,2,5] => 2 [1,4,3,6,5,2] => 5 [1,4,5,2,3,6] => 5 [1,4,5,2,6,3] => 2 [1,4,5,3,2,6] => 5 [1,4,5,3,6,2] => 3 [1,4,5,6,2,3] => 6 [1,4,5,6,3,2] => 6 [1,4,6,2,3,5] => 2 [1,4,6,2,5,3] => 1 [1,4,6,3,2,5] => 2 [1,4,6,3,5,2] => 1 [1,4,6,5,2,3] => 6 [1,4,6,5,3,2] => 6 [1,5,2,3,4,6] => 3 [1,5,2,3,6,4] => 2 [1,5,2,4,3,6] => 3 [1,5,2,4,6,3] => 1 [1,5,2,6,3,4] => 2 [1,5,2,6,4,3] => 2 [1,5,3,2,4,6] => 3 [1,5,3,2,6,4] => 2 [1,5,3,4,2,6] => 5 [1,5,3,4,6,2] => 3 [1,5,3,6,2,4] => 1 [1,5,3,6,4,2] => 1 [1,5,4,2,3,6] => 5 [1,5,4,2,6,3] => 2 [1,5,4,3,2,6] => 5 [1,5,4,3,6,2] => 3 [1,5,4,6,2,3] => 6 [1,5,4,6,3,2] => 6 [1,5,6,2,3,4] => 6 [1,5,6,2,4,3] => 6 [1,5,6,3,2,4] => 6 [1,5,6,3,4,2] => 8 [1,5,6,4,2,3] => 8 [1,5,6,4,3,2] => 8 [1,6,2,3,4,5] => 5 [1,6,2,3,5,4] => 5 [1,6,2,4,3,5] => 5 [1,6,2,4,5,3] => 3 [1,6,2,5,3,4] => 3 [1,6,2,5,4,3] => 3 [1,6,3,2,4,5] => 5 [1,6,3,2,5,4] => 5 [1,6,3,4,2,5] => 3 [1,6,3,4,5,2] => 3 [1,6,3,5,2,4] => 1 [1,6,3,5,4,2] => 3 [1,6,4,2,3,5] => 3 [1,6,4,2,5,3] => 1 [1,6,4,3,2,5] => 3 [1,6,4,3,5,2] => 3 [1,6,4,5,2,3] => 8 [1,6,4,5,3,2] => 8 [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] => 8 [1,6,5,4,2,3] => 8 [1,6,5,4,3,2] => 8 [2,1,3,4,5,6] => 13 [2,1,3,4,6,5] => 13 [2,1,3,5,4,6] => 13 [2,1,3,5,6,4] => 9 [2,1,3,6,4,5] => 9 [2,1,3,6,5,4] => 9 [2,1,4,3,5,6] => 13 [2,1,4,3,6,5] => 13 [2,1,4,5,3,6] => 6 [2,1,4,5,6,3] => 6 [2,1,4,6,3,5] => 2 [2,1,4,6,5,3] => 6 [2,1,5,3,4,6] => 6 [2,1,5,3,6,4] => 2 [2,1,5,4,3,6] => 6 [2,1,5,4,6,3] => 6 [2,1,5,6,3,4] => 10 [2,1,5,6,4,3] => 10 [2,1,6,3,4,5] => 6 [2,1,6,3,5,4] => 6 [2,1,6,4,3,5] => 6 [2,1,6,4,5,3] => 10 [2,1,6,5,3,4] => 10 [2,1,6,5,4,3] => 10 [2,3,1,4,5,6] => 9 [2,3,1,4,6,5] => 9 [2,3,1,5,4,6] => 9 [2,3,1,5,6,4] => 9 [2,3,1,6,4,5] => 9 [2,3,1,6,5,4] => 9 [2,3,4,1,5,6] => 6 [2,3,4,1,6,5] => 6 [2,3,4,5,1,6] => 5 [2,3,4,5,6,1] => 8 [2,3,4,6,1,5] => 3 [2,3,4,6,5,1] => 8 [2,3,5,1,4,6] => 2 [2,3,5,1,6,4] => 2 [2,3,5,4,1,6] => 5 [2,3,5,4,6,1] => 8 [2,3,5,6,1,4] => 4 [2,3,5,6,4,1] => 6 [2,3,6,1,4,5] => 4 [2,3,6,1,5,4] => 4 [2,3,6,4,1,5] => 2 [2,3,6,4,5,1] => 6 [2,3,6,5,1,4] => 4 [2,3,6,5,4,1] => 6 [2,4,1,3,5,6] => 2 [2,4,1,3,6,5] => 2 [2,4,1,5,3,6] => 1 [2,4,1,5,6,3] => 2 [2,4,1,6,3,5] => 1 [2,4,1,6,5,3] => 2 [2,4,3,1,5,6] => 6 [2,4,3,1,6,5] => 6 [2,4,3,5,1,6] => 5 [2,4,3,5,6,1] => 8 [2,4,3,6,1,5] => 3 [2,4,3,6,5,1] => 8 [2,4,5,1,3,6] => 2 [2,4,5,1,6,3] => 2 [2,4,5,3,1,6] => 3 [2,4,5,3,6,1] => 3 [2,4,5,6,1,3] => 3 [2,4,5,6,3,1] => 3 [2,4,6,1,3,5] => 1 [2,4,6,1,5,3] => 1 [2,4,6,3,1,5] => 1 [2,4,6,3,5,1] => 1 [2,4,6,5,1,3] => 3 [2,4,6,5,3,1] => 3 [2,5,1,3,4,6] => 2 [2,5,1,3,6,4] => 1 [2,5,1,4,3,6] => 2 [2,5,1,4,6,3] => 1 [2,5,1,6,3,4] => 2 [2,5,1,6,4,3] => 2 [2,5,3,1,4,6] => 1 [2,5,3,1,6,4] => 1 [2,5,3,4,1,6] => 3 [2,5,3,4,6,1] => 3 [2,5,3,6,1,4] => 1 [2,5,3,6,4,1] => 1 [2,5,4,1,3,6] => 2 [2,5,4,1,6,3] => 2 [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] => 4 [2,5,6,1,4,3] => 4 [2,5,6,3,1,4] => 2 [2,5,6,3,4,1] => 5 [2,5,6,4,1,3] => 3 [2,5,6,4,3,1] => 5 [2,6,1,3,4,5] => 3 [2,6,1,3,5,4] => 3 [2,6,1,4,3,5] => 3 [2,6,1,4,5,3] => 3 [2,6,1,5,3,4] => 3 [2,6,1,5,4,3] => 3 [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] => 3 [2,6,3,5,1,4] => 1 [2,6,3,5,4,1] => 3 [2,6,4,1,3,5] => 1 [2,6,4,1,5,3] => 1 [2,6,4,3,1,5] => 2 [2,6,4,3,5,1] => 3 [2,6,4,5,1,3] => 3 [2,6,4,5,3,1] => 5 [2,6,5,1,3,4] => 4 [2,6,5,1,4,3] => 4 [2,6,5,3,1,4] => 2 [2,6,5,3,4,1] => 5 [2,6,5,4,1,3] => 3 [2,6,5,4,3,1] => 5 [3,1,2,4,5,6] => 9 [3,1,2,4,6,5] => 9 [3,1,2,5,4,6] => 9 [3,1,2,5,6,4] => 9 [3,1,2,6,4,5] => 9 [3,1,2,6,5,4] => 9 [3,1,4,2,5,6] => 2 [3,1,4,2,6,5] => 2 [3,1,4,5,2,6] => 2 [3,1,4,5,6,2] => 3 [3,1,4,6,2,5] => 1 [3,1,4,6,5,2] => 3 [3,1,5,2,4,6] => 1 [3,1,5,2,6,4] => 1 [3,1,5,4,2,6] => 2 [3,1,5,4,6,2] => 3 [3,1,5,6,2,4] => 2 [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] => 1 [3,1,6,4,5,2] => 3 [3,1,6,5,2,4] => 2 [3,1,6,5,4,2] => 3 [3,2,1,4,5,6] => 9 [3,2,1,4,6,5] => 9 [3,2,1,5,4,6] => 9 [3,2,1,5,6,4] => 9 [3,2,1,6,4,5] => 9 [3,2,1,6,5,4] => 9 [3,2,4,1,5,6] => 6 [3,2,4,1,6,5] => 6 [3,2,4,5,1,6] => 5 [3,2,4,5,6,1] => 8 [3,2,4,6,1,5] => 3 [3,2,4,6,5,1] => 8 [3,2,5,1,4,6] => 2 [3,2,5,1,6,4] => 2 [3,2,5,4,1,6] => 5 [3,2,5,4,6,1] => 8 [3,2,5,6,1,4] => 4 [3,2,5,6,4,1] => 6 [3,2,6,1,4,5] => 4 [3,2,6,1,5,4] => 4 [3,2,6,4,1,5] => 2 [3,2,6,4,5,1] => 6 [3,2,6,5,1,4] => 4 [3,2,6,5,4,1] => 6 [3,4,1,2,5,6] => 10 [3,4,1,2,6,5] => 10 [3,4,1,5,2,6] => 2 [3,4,1,5,6,2] => 4 [3,4,1,6,2,5] => 2 [3,4,1,6,5,2] => 4 [3,4,2,1,5,6] => 10 [3,4,2,1,6,5] => 10 [3,4,2,5,1,6] => 3 [3,4,2,5,6,1] => 6 [3,4,2,6,1,5] => 3 [3,4,2,6,5,1] => 6 [3,4,5,1,2,6] => 6 [3,4,5,1,6,2] => 3 [3,4,5,2,1,6] => 6 [3,4,5,2,6,1] => 3 [3,4,5,6,1,2] => 10 [3,4,5,6,2,1] => 10 [3,4,6,1,2,5] => 4 [3,4,6,1,5,2] => 2 [3,4,6,2,1,5] => 4 [3,4,6,2,5,1] => 2 [3,4,6,5,1,2] => 10 [3,4,6,5,2,1] => 10 [3,5,1,2,4,6] => 2 [3,5,1,2,6,4] => 2 [3,5,1,4,2,6] => 1 [3,5,1,4,6,2] => 1 [3,5,1,6,2,4] => 1 [3,5,1,6,4,2] => 1 [3,5,2,1,4,6] => 2 [3,5,2,1,6,4] => 2 [3,5,2,4,1,6] => 1 [3,5,2,4,6,1] => 1 [3,5,2,6,1,4] => 1 [3,5,2,6,4,1] => 1 [3,5,4,1,2,6] => 6 [3,5,4,1,6,2] => 3 [3,5,4,2,1,6] => 6 [3,5,4,2,6,1] => 3 [3,5,4,6,1,2] => 10 [3,5,4,6,2,1] => 10 [3,5,6,1,2,4] => 4 [3,5,6,1,4,2] => 2 [3,5,6,2,1,4] => 4 [3,5,6,2,4,1] => 2 [3,5,6,4,1,2] => 6 [3,5,6,4,2,1] => 6 [3,6,1,2,4,5] => 4 [3,6,1,2,5,4] => 4 [3,6,1,4,2,5] => 1 [3,6,1,4,5,2] => 2 [3,6,1,5,2,4] => 1 [3,6,1,5,4,2] => 2 [3,6,2,1,4,5] => 4 [3,6,2,1,5,4] => 4 [3,6,2,4,1,5] => 1 [3,6,2,4,5,1] => 2 [3,6,2,5,1,4] => 1 [3,6,2,5,4,1] => 2 [3,6,4,1,2,5] => 2 [3,6,4,1,5,2] => 1 [3,6,4,2,1,5] => 2 [3,6,4,2,5,1] => 1 [3,6,4,5,1,2] => 6 [3,6,4,5,2,1] => 6 [3,6,5,1,2,4] => 4 [3,6,5,1,4,2] => 2 [3,6,5,2,1,4] => 4 [3,6,5,2,4,1] => 2 [3,6,5,4,1,2] => 6 [3,6,5,4,2,1] => 6 [4,1,2,3,5,6] => 6 [4,1,2,3,6,5] => 6 [4,1,2,5,3,6] => 2 [4,1,2,5,6,3] => 4 [4,1,2,6,3,5] => 2 [4,1,2,6,5,3] => 4 [4,1,3,2,5,6] => 6 [4,1,3,2,6,5] => 6 [4,1,3,5,2,6] => 1 [4,1,3,5,6,2] => 2 [4,1,3,6,2,5] => 1 [4,1,3,6,5,2] => 2 [4,1,5,2,3,6] => 2 [4,1,5,2,6,3] => 1 [4,1,5,3,2,6] => 2 [4,1,5,3,6,2] => 1 [4,1,5,6,2,3] => 4 [4,1,5,6,3,2] => 4 [4,1,6,2,3,5] => 2 [4,1,6,2,5,3] => 1 [4,1,6,3,2,5] => 2 [4,1,6,3,5,2] => 1 [4,1,6,5,2,3] => 4 [4,1,6,5,3,2] => 4 [4,2,1,3,5,6] => 6 [4,2,1,3,6,5] => 6 [4,2,1,5,3,6] => 2 [4,2,1,5,6,3] => 4 [4,2,1,6,3,5] => 2 [4,2,1,6,5,3] => 4 [4,2,3,1,5,6] => 10 [4,2,3,1,6,5] => 10 [4,2,3,5,1,6] => 3 [4,2,3,5,6,1] => 6 [4,2,3,6,1,5] => 3 [4,2,3,6,5,1] => 6 [4,2,5,1,3,6] => 1 [4,2,5,1,6,3] => 1 [4,2,5,3,1,6] => 1 [4,2,5,3,6,1] => 1 [4,2,5,6,1,3] => 2 [4,2,5,6,3,1] => 2 [4,2,6,1,3,5] => 1 [4,2,6,1,5,3] => 1 [4,2,6,3,1,5] => 1 [4,2,6,3,5,1] => 1 [4,2,6,5,1,3] => 2 [4,2,6,5,3,1] => 2 [4,3,1,2,5,6] => 10 [4,3,1,2,6,5] => 10 [4,3,1,5,2,6] => 2 [4,3,1,5,6,2] => 4 [4,3,1,6,2,5] => 2 [4,3,1,6,5,2] => 4 [4,3,2,1,5,6] => 10 [4,3,2,1,6,5] => 10 [4,3,2,5,1,6] => 3 [4,3,2,5,6,1] => 6 [4,3,2,6,1,5] => 3 [4,3,2,6,5,1] => 6 [4,3,5,1,2,6] => 6 [4,3,5,1,6,2] => 3 [4,3,5,2,1,6] => 6 [4,3,5,2,6,1] => 3 [4,3,5,6,1,2] => 10 [4,3,5,6,2,1] => 10 [4,3,6,1,2,5] => 4 [4,3,6,1,5,2] => 2 [4,3,6,2,1,5] => 4 [4,3,6,2,5,1] => 2 [4,3,6,5,1,2] => 10 [4,3,6,5,2,1] => 10 [4,5,1,2,3,6] => 6 [4,5,1,2,6,3] => 4 [4,5,1,3,2,6] => 6 [4,5,1,3,6,2] => 2 [4,5,1,6,2,3] => 4 [4,5,1,6,3,2] => 4 [4,5,2,1,3,6] => 6 [4,5,2,1,6,3] => 4 [4,5,2,3,1,6] => 8 [4,5,2,3,6,1] => 5 [4,5,2,6,1,3] => 2 [4,5,2,6,3,1] => 2 [4,5,3,1,2,6] => 8 [4,5,3,1,6,2] => 3 [4,5,3,2,1,6] => 8 [4,5,3,2,6,1] => 5 [4,5,3,6,1,2] => 6 [4,5,3,6,2,1] => 6 [4,5,6,1,2,3] => 9 [4,5,6,1,3,2] => 9 [4,5,6,2,1,3] => 9 [4,5,6,2,3,1] => 9 [4,5,6,3,1,2] => 9 [4,5,6,3,2,1] => 9 [4,6,1,2,3,5] => 3 [4,6,1,2,5,3] => 2 [4,6,1,3,2,5] => 3 [4,6,1,3,5,2] => 1 [4,6,1,5,2,3] => 2 [4,6,1,5,3,2] => 2 [4,6,2,1,3,5] => 3 [4,6,2,1,5,3] => 2 [4,6,2,3,1,5] => 3 [4,6,2,3,5,1] => 2 [4,6,2,5,1,3] => 1 [4,6,2,5,3,1] => 1 [4,6,3,1,2,5] => 3 [4,6,3,1,5,2] => 1 [4,6,3,2,1,5] => 3 [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] => 9 [4,6,5,1,3,2] => 9 [4,6,5,2,1,3] => 9 [4,6,5,2,3,1] => 9 [4,6,5,3,1,2] => 9 [4,6,5,3,2,1] => 9 [5,1,2,3,4,6] => 5 [5,1,2,3,6,4] => 3 [5,1,2,4,3,6] => 5 [5,1,2,4,6,3] => 2 [5,1,2,6,3,4] => 4 [5,1,2,6,4,3] => 4 [5,1,3,2,4,6] => 5 [5,1,3,2,6,4] => 3 [5,1,3,4,2,6] => 3 [5,1,3,4,6,2] => 2 [5,1,3,6,2,4] => 1 [5,1,3,6,4,2] => 1 [5,1,4,2,3,6] => 3 [5,1,4,2,6,3] => 1 [5,1,4,3,2,6] => 3 [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] => 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] => 5 [5,2,1,3,6,4] => 3 [5,2,1,4,3,6] => 5 [5,2,1,4,6,3] => 2 [5,2,1,6,3,4] => 4 [5,2,1,6,4,3] => 4 [5,2,3,1,4,6] => 3 [5,2,3,1,6,4] => 3 [5,2,3,4,1,6] => 3 [5,2,3,4,6,1] => 3 [5,2,3,6,1,4] => 2 [5,2,3,6,4,1] => 2 [5,2,4,1,3,6] => 1 [5,2,4,1,6,3] => 1 [5,2,4,3,1,6] => 3 [5,2,4,3,6,1] => 3 [5,2,4,6,1,3] => 1 [5,2,4,6,3,1] => 1 [5,2,6,1,3,4] => 2 [5,2,6,1,4,3] => 2 [5,2,6,3,1,4] => 1 [5,2,6,3,4,1] => 2 [5,2,6,4,1,3] => 1 [5,2,6,4,3,1] => 2 [5,3,1,2,4,6] => 3 [5,3,1,2,6,4] => 3 [5,3,1,4,2,6] => 1 [5,3,1,4,6,2] => 1 [5,3,1,6,2,4] => 1 [5,3,1,6,4,2] => 1 [5,3,2,1,4,6] => 3 [5,3,2,1,6,4] => 3 [5,3,2,4,1,6] => 3 [5,3,2,4,6,1] => 3 [5,3,2,6,1,4] => 2 [5,3,2,6,4,1] => 2 [5,3,4,1,2,6] => 8 [5,3,4,1,6,2] => 3 [5,3,4,2,1,6] => 8 [5,3,4,2,6,1] => 5 [5,3,4,6,1,2] => 6 [5,3,4,6,2,1] => 6 [5,3,6,1,2,4] => 2 [5,3,6,1,4,2] => 1 [5,3,6,2,1,4] => 2 [5,3,6,2,4,1] => 1 [5,3,6,4,1,2] => 2 [5,3,6,4,2,1] => 2 [5,4,1,2,3,6] => 6 [5,4,1,2,6,3] => 4 [5,4,1,3,2,6] => 6 [5,4,1,3,6,2] => 2 [5,4,1,6,2,3] => 4 [5,4,1,6,3,2] => 4 [5,4,2,1,3,6] => 6 [5,4,2,1,6,3] => 4 [5,4,2,3,1,6] => 8 [5,4,2,3,6,1] => 5 [5,4,2,6,1,3] => 2 [5,4,2,6,3,1] => 2 [5,4,3,1,2,6] => 8 [5,4,3,1,6,2] => 3 [5,4,3,2,1,6] => 8 [5,4,3,2,6,1] => 5 [5,4,3,6,1,2] => 6 [5,4,3,6,2,1] => 6 [5,4,6,1,2,3] => 9 [5,4,6,1,3,2] => 9 [5,4,6,2,1,3] => 9 [5,4,6,2,3,1] => 9 [5,4,6,3,1,2] => 9 [5,4,6,3,2,1] => 9 [5,6,1,2,3,4] => 10 [5,6,1,2,4,3] => 10 [5,6,1,3,2,4] => 10 [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] => 10 [5,6,2,1,4,3] => 10 [5,6,2,3,1,4] => 6 [5,6,2,3,4,1] => 6 [5,6,2,4,1,3] => 2 [5,6,2,4,3,1] => 6 [5,6,3,1,2,4] => 6 [5,6,3,1,4,2] => 2 [5,6,3,2,1,4] => 6 [5,6,3,2,4,1] => 6 [5,6,3,4,1,2] => 13 [5,6,3,4,2,1] => 13 [5,6,4,1,2,3] => 9 [5,6,4,1,3,2] => 9 [5,6,4,2,1,3] => 9 [5,6,4,2,3,1] => 13 [5,6,4,3,1,2] => 13 [5,6,4,3,2,1] => 13 [6,1,2,3,4,5] => 8 [6,1,2,3,5,4] => 8 [6,1,2,4,3,5] => 8 [6,1,2,4,5,3] => 6 [6,1,2,5,3,4] => 6 [6,1,2,5,4,3] => 6 [6,1,3,2,4,5] => 8 [6,1,3,2,5,4] => 8 [6,1,3,4,2,5] => 3 [6,1,3,4,5,2] => 3 [6,1,3,5,2,4] => 1 [6,1,3,5,4,2] => 3 [6,1,4,2,3,5] => 3 [6,1,4,2,5,3] => 1 [6,1,4,3,2,5] => 3 [6,1,4,3,5,2] => 3 [6,1,4,5,2,3] => 5 [6,1,4,5,3,2] => 5 [6,1,5,2,3,4] => 3 [6,1,5,2,4,3] => 3 [6,1,5,3,2,4] => 3 [6,1,5,3,4,2] => 5 [6,1,5,4,2,3] => 5 [6,1,5,4,3,2] => 5 [6,2,1,3,4,5] => 8 [6,2,1,3,5,4] => 8 [6,2,1,4,3,5] => 8 [6,2,1,4,5,3] => 6 [6,2,1,5,3,4] => 6 [6,2,1,5,4,3] => 6 [6,2,3,1,4,5] => 6 [6,2,3,1,5,4] => 6 [6,2,3,4,1,5] => 3 [6,2,3,4,5,1] => 5 [6,2,3,5,1,4] => 2 [6,2,3,5,4,1] => 5 [6,2,4,1,3,5] => 1 [6,2,4,1,5,3] => 1 [6,2,4,3,1,5] => 3 [6,2,4,3,5,1] => 5 [6,2,4,5,1,3] => 2 [6,2,4,5,3,1] => 3 [6,2,5,1,3,4] => 2 [6,2,5,1,4,3] => 2 [6,2,5,3,1,4] => 1 [6,2,5,3,4,1] => 3 [6,2,5,4,1,3] => 2 [6,2,5,4,3,1] => 3 [6,3,1,2,4,5] => 6 [6,3,1,2,5,4] => 6 [6,3,1,4,2,5] => 1 [6,3,1,4,5,2] => 2 [6,3,1,5,2,4] => 1 [6,3,1,5,4,2] => 2 [6,3,2,1,4,5] => 6 [6,3,2,1,5,4] => 6 [6,3,2,4,1,5] => 3 [6,3,2,4,5,1] => 5 [6,3,2,5,1,4] => 2 [6,3,2,5,4,1] => 5 [6,3,4,1,2,5] => 5 [6,3,4,1,5,2] => 2 [6,3,4,2,1,5] => 5 [6,3,4,2,5,1] => 3 [6,3,4,5,1,2] => 6 [6,3,4,5,2,1] => 6 [6,3,5,1,2,4] => 2 [6,3,5,1,4,2] => 1 [6,3,5,2,1,4] => 2 [6,3,5,2,4,1] => 1 [6,3,5,4,1,2] => 6 [6,3,5,4,2,1] => 6 [6,4,1,2,3,5] => 3 [6,4,1,2,5,3] => 2 [6,4,1,3,2,5] => 3 [6,4,1,3,5,2] => 1 [6,4,1,5,2,3] => 2 [6,4,1,5,3,2] => 2 [6,4,2,1,3,5] => 3 [6,4,2,1,5,3] => 2 [6,4,2,3,1,5] => 5 [6,4,2,3,5,1] => 3 [6,4,2,5,1,3] => 1 [6,4,2,5,3,1] => 1 [6,4,3,1,2,5] => 5 [6,4,3,1,5,2] => 2 [6,4,3,2,1,5] => 5 [6,4,3,2,5,1] => 3 [6,4,3,5,1,2] => 6 [6,4,3,5,2,1] => 6 [6,4,5,1,2,3] => 9 [6,4,5,1,3,2] => 9 [6,4,5,2,1,3] => 9 [6,4,5,2,3,1] => 13 [6,4,5,3,1,2] => 13 [6,4,5,3,2,1] => 13 [6,5,1,2,3,4] => 10 [6,5,1,2,4,3] => 10 [6,5,1,3,2,4] => 10 [6,5,1,3,4,2] => 6 [6,5,1,4,2,3] => 6 [6,5,1,4,3,2] => 6 [6,5,2,1,3,4] => 10 [6,5,2,1,4,3] => 10 [6,5,2,3,1,4] => 6 [6,5,2,3,4,1] => 6 [6,5,2,4,1,3] => 2 [6,5,2,4,3,1] => 6 [6,5,3,1,2,4] => 6 [6,5,3,1,4,2] => 2 [6,5,3,2,1,4] => 6 [6,5,3,2,4,1] => 6 [6,5,3,4,1,2] => 13 [6,5,3,4,2,1] => 13 [6,5,4,1,2,3] => 9 [6,5,4,1,3,2] => 9 [6,5,4,2,1,3] => 9 [6,5,4,2,3,1] => 13 [6,5,4,3,1,2] => 13 [6,5,4,3,2,1] => 13 [1,2,3,4,5,6,7] => 21 [1,2,3,4,5,7,6] => 21 [1,2,3,4,6,5,7] => 21 [1,2,3,4,6,7,5] => 15 [1,2,3,4,7,5,6] => 15 [1,2,3,4,7,6,5] => 15 [1,2,3,5,4,6,7] => 21 [1,2,3,5,4,7,6] => 21 [1,2,3,5,6,4,7] => 9 [1,2,3,5,6,7,4] => 9 [1,2,3,5,7,4,6] => 3 [1,2,3,5,7,6,4] => 9 [1,2,3,6,4,5,7] => 9 [1,2,3,6,4,7,5] => 3 [1,2,3,6,5,4,7] => 9 [1,2,3,6,5,7,4] => 9 [1,2,3,6,7,4,5] => 15 [1,2,3,6,7,5,4] => 15 [1,2,3,7,4,5,6] => 9 [1,2,3,7,4,6,5] => 9 [1,2,3,7,5,4,6] => 9 [1,2,3,7,5,6,4] => 15 [1,2,3,7,6,4,5] => 15 [1,2,3,7,6,5,4] => 15 [1,2,4,3,5,6,7] => 21 [1,2,4,3,5,7,6] => 21 [1,2,4,3,6,5,7] => 21 [1,2,4,3,6,7,5] => 15 [1,2,4,3,7,5,6] => 15 [1,2,4,3,7,6,5] => 15 [1,2,4,5,3,6,7] => 12 [1,2,4,5,3,7,6] => 12 [1,2,4,5,6,3,7] => 6 [1,2,4,5,6,7,3] => 10 [1,2,4,5,7,3,6] => 4 [1,2,4,5,7,6,3] => 10 [1,2,4,6,3,5,7] => 2 [1,2,4,6,3,7,5] => 2 [1,2,4,6,5,3,7] => 6 [1,2,4,6,5,7,3] => 10 [1,2,4,6,7,3,5] => 4 [1,2,4,6,7,5,3] => 6 [1,2,4,7,3,5,6] => 4 [1,2,4,7,3,6,5] => 4 [1,2,4,7,5,3,6] => 2 [1,2,4,7,5,6,3] => 6 [1,2,4,7,6,3,5] => 4 [1,2,4,7,6,5,3] => 6 [1,2,5,3,4,6,7] => 12 [1,2,5,3,4,7,6] => 12 [1,2,5,3,6,4,7] => 2 [1,2,5,3,6,7,4] => 4 [1,2,5,3,7,4,6] => 2 [1,2,5,3,7,6,4] => 4 [1,2,5,4,3,6,7] => 12 [1,2,5,4,3,7,6] => 12 [1,2,5,4,6,3,7] => 6 [1,2,5,4,6,7,3] => 10 [1,2,5,4,7,3,6] => 4 [1,2,5,4,7,6,3] => 10 [1,2,5,6,3,4,7] => 10 [1,2,5,6,3,7,4] => 4 [1,2,5,6,4,3,7] => 10 [1,2,5,6,4,7,3] => 6 [1,2,5,6,7,3,4] => 12 [1,2,5,6,7,4,3] => 12 [1,2,5,7,3,4,6] => 4 [1,2,5,7,3,6,4] => 2 [1,2,5,7,4,3,6] => 4 [1,2,5,7,4,6,3] => 2 [1,2,5,7,6,3,4] => 12 [1,2,5,7,6,4,3] => 12 [1,2,6,3,4,5,7] => 6 [1,2,6,3,4,7,5] => 4 [1,2,6,3,5,4,7] => 6 [1,2,6,3,5,7,4] => 2 [1,2,6,3,7,4,5] => 4 [1,2,6,3,7,5,4] => 4 [1,2,6,4,3,5,7] => 6 [1,2,6,4,3,7,5] => 4 [1,2,6,4,5,3,7] => 10 [1,2,6,4,5,7,3] => 6 [1,2,6,4,7,3,5] => 2 [1,2,6,4,7,5,3] => 2 [1,2,6,5,3,4,7] => 10 [1,2,6,5,3,7,4] => 4 [1,2,6,5,4,3,7] => 10 [1,2,6,5,4,7,3] => 6 [1,2,6,5,7,3,4] => 12 [1,2,6,5,7,4,3] => 12 [1,2,6,7,3,4,5] => 12 [1,2,6,7,3,5,4] => 12 [1,2,6,7,4,3,5] => 12 [1,2,6,7,4,5,3] => 16 [1,2,6,7,5,3,4] => 16 [1,2,6,7,5,4,3] => 16 [1,2,7,3,4,5,6] => 10 [1,2,7,3,4,6,5] => 10 [1,2,7,3,5,4,6] => 10 [1,2,7,3,5,6,4] => 6 [1,2,7,3,6,4,5] => 6 [1,2,7,3,6,5,4] => 6 [1,2,7,4,3,5,6] => 10 [1,2,7,4,3,6,5] => 10 [1,2,7,4,5,3,6] => 6 [1,2,7,4,5,6,3] => 6 [1,2,7,4,6,3,5] => 2 [1,2,7,4,6,5,3] => 6 [1,2,7,5,3,4,6] => 6 [1,2,7,5,3,6,4] => 2 [1,2,7,5,4,3,6] => 6 [1,2,7,5,4,6,3] => 6 [1,2,7,5,6,3,4] => 16 [1,2,7,5,6,4,3] => 16 [1,2,7,6,3,4,5] => 12 [1,2,7,6,3,5,4] => 12 [1,2,7,6,4,3,5] => 12 [1,2,7,6,4,5,3] => 16 [1,2,7,6,5,3,4] => 16 [1,2,7,6,5,4,3] => 16 [1,3,2,4,5,6,7] => 21 [1,3,2,4,5,7,6] => 21 [1,3,2,4,6,5,7] => 21 [1,3,2,4,6,7,5] => 15 [1,3,2,4,7,5,6] => 15 [1,3,2,4,7,6,5] => 15 [1,3,2,5,4,6,7] => 21 [1,3,2,5,4,7,6] => 21 [1,3,2,5,6,4,7] => 9 [1,3,2,5,6,7,4] => 9 [1,3,2,5,7,4,6] => 3 [1,3,2,5,7,6,4] => 9 [1,3,2,6,4,5,7] => 9 [1,3,2,6,4,7,5] => 3 [1,3,2,6,5,4,7] => 9 [1,3,2,6,5,7,4] => 9 [1,3,2,6,7,4,5] => 15 [1,3,2,6,7,5,4] => 15 [1,3,2,7,4,5,6] => 9 [1,3,2,7,4,6,5] => 9 [1,3,2,7,5,4,6] => 9 [1,3,2,7,5,6,4] => 15 [1,3,2,7,6,4,5] => 15 [1,3,2,7,6,5,4] => 15 [1,3,4,2,5,6,7] => 9 [1,3,4,2,5,7,6] => 9 [1,3,4,2,6,5,7] => 9 [1,3,4,2,6,7,5] => 9 [1,3,4,2,7,5,6] => 9 [1,3,4,2,7,6,5] => 9 [1,3,4,5,2,6,7] => 6 [1,3,4,5,2,7,6] => 6 [1,3,4,5,6,2,7] => 5 [1,3,4,5,6,7,2] => 8 [1,3,4,5,7,2,6] => 3 [1,3,4,5,7,6,2] => 8 [1,3,4,6,2,5,7] => 2 [1,3,4,6,2,7,5] => 2 [1,3,4,6,5,2,7] => 5 [1,3,4,6,5,7,2] => 8 [1,3,4,6,7,2,5] => 4 [1,3,4,6,7,5,2] => 6 [1,3,4,7,2,5,6] => 4 [1,3,4,7,2,6,5] => 4 [1,3,4,7,5,2,6] => 2 [1,3,4,7,5,6,2] => 6 [1,3,4,7,6,2,5] => 4 [1,3,4,7,6,5,2] => 6 [1,3,5,2,4,6,7] => 2 [1,3,5,2,4,7,6] => 2 [1,3,5,2,6,4,7] => 1 [1,3,5,2,6,7,4] => 2 [1,3,5,2,7,4,6] => 1 [1,3,5,2,7,6,4] => 2 [1,3,5,4,2,6,7] => 6 [1,3,5,4,2,7,6] => 6 [1,3,5,4,6,2,7] => 5 [1,3,5,4,6,7,2] => 8 [1,3,5,4,7,2,6] => 3 [1,3,5,4,7,6,2] => 8 [1,3,5,6,2,4,7] => 2 [1,3,5,6,2,7,4] => 2 [1,3,5,6,4,2,7] => 3 [1,3,5,6,4,7,2] => 3 [1,3,5,6,7,2,4] => 3 [1,3,5,6,7,4,2] => 3 [1,3,5,7,2,4,6] => 1 [1,3,5,7,2,6,4] => 1 [1,3,5,7,4,2,6] => 1 [1,3,5,7,4,6,2] => 1 [1,3,5,7,6,2,4] => 3 [1,3,5,7,6,4,2] => 3 [1,3,6,2,4,5,7] => 2 [1,3,6,2,4,7,5] => 1 [1,3,6,2,5,4,7] => 2 [1,3,6,2,5,7,4] => 1 [1,3,6,2,7,4,5] => 2 [1,3,6,2,7,5,4] => 2 [1,3,6,4,2,5,7] => 1 [1,3,6,4,2,7,5] => 1 [1,3,6,4,5,2,7] => 3 [1,3,6,4,5,7,2] => 3 [1,3,6,4,7,2,5] => 1 [1,3,6,4,7,5,2] => 1 [1,3,6,5,2,4,7] => 2 [1,3,6,5,2,7,4] => 2 [1,3,6,5,4,2,7] => 3 [1,3,6,5,4,7,2] => 3 [1,3,6,5,7,2,4] => 3 [1,3,6,5,7,4,2] => 3 [1,3,6,7,2,4,5] => 4 [1,3,6,7,2,5,4] => 4 [1,3,6,7,4,2,5] => 2 [1,3,6,7,4,5,2] => 5 [1,3,6,7,5,2,4] => 3 [1,3,6,7,5,4,2] => 5 [1,3,7,2,4,5,6] => 3 [1,3,7,2,4,6,5] => 3 [1,3,7,2,5,4,6] => 3 [1,3,7,2,5,6,4] => 3 [1,3,7,2,6,4,5] => 3 [1,3,7,2,6,5,4] => 3 [1,3,7,4,2,5,6] => 2 [1,3,7,4,2,6,5] => 2 [1,3,7,4,5,2,6] => 2 [1,3,7,4,5,6,2] => 3 [1,3,7,4,6,2,5] => 1 [1,3,7,4,6,5,2] => 3 [1,3,7,5,2,4,6] => 1 [1,3,7,5,2,6,4] => 1 [1,3,7,5,4,2,6] => 2 [1,3,7,5,4,6,2] => 3 [1,3,7,5,6,2,4] => 3 [1,3,7,5,6,4,2] => 5 [1,3,7,6,2,4,5] => 4 [1,3,7,6,2,5,4] => 4 [1,3,7,6,4,2,5] => 2 [1,3,7,6,4,5,2] => 5 [1,3,7,6,5,2,4] => 3 [1,3,7,6,5,4,2] => 5 [1,4,2,3,5,6,7] => 9 [1,4,2,3,5,7,6] => 9 [1,4,2,3,6,5,7] => 9 [1,4,2,3,6,7,5] => 9 [1,4,2,3,7,5,6] => 9 [1,4,2,3,7,6,5] => 9 [1,4,2,5,3,6,7] => 2 [1,4,2,5,3,7,6] => 2 [1,4,2,5,6,3,7] => 2 [1,4,2,5,6,7,3] => 3 [1,4,2,5,7,3,6] => 1 [1,4,2,5,7,6,3] => 3 [1,4,2,6,3,5,7] => 1 [1,4,2,6,3,7,5] => 1 [1,4,2,6,5,3,7] => 2 [1,4,2,6,5,7,3] => 3 [1,4,2,6,7,3,5] => 2 [1,4,2,6,7,5,3] => 3 [1,4,2,7,3,5,6] => 2 [1,4,2,7,3,6,5] => 2 [1,4,2,7,5,3,6] => 1 [1,4,2,7,5,6,3] => 3 [1,4,2,7,6,3,5] => 2 [1,4,2,7,6,5,3] => 3 [1,4,3,2,5,6,7] => 9 [1,4,3,2,5,7,6] => 9 [1,4,3,2,6,5,7] => 9 [1,4,3,2,6,7,5] => 9 [1,4,3,2,7,5,6] => 9 [1,4,3,2,7,6,5] => 9 [1,4,3,5,2,6,7] => 6 [1,4,3,5,2,7,6] => 6 [1,4,3,5,6,2,7] => 5 [1,4,3,5,6,7,2] => 8 [1,4,3,5,7,2,6] => 3 [1,4,3,5,7,6,2] => 8 [1,4,3,6,2,5,7] => 2 [1,4,3,6,2,7,5] => 2 [1,4,3,6,5,2,7] => 5 [1,4,3,6,5,7,2] => 8 [1,4,3,6,7,2,5] => 4 [1,4,3,6,7,5,2] => 6 [1,4,3,7,2,5,6] => 4 [1,4,3,7,2,6,5] => 4 [1,4,3,7,5,2,6] => 2 [1,4,3,7,5,6,2] => 6 [1,4,3,7,6,2,5] => 4 [1,4,3,7,6,5,2] => 6 [1,4,5,2,3,6,7] => 10 [1,4,5,2,3,7,6] => 10 [1,4,5,2,6,3,7] => 2 [1,4,5,2,6,7,3] => 4 [1,4,5,2,7,3,6] => 2 [1,4,5,2,7,6,3] => 4 [1,4,5,3,2,6,7] => 10 [1,4,5,3,2,7,6] => 10 [1,4,5,3,6,2,7] => 3 [1,4,5,3,6,7,2] => 6 [1,4,5,3,7,2,6] => 3 [1,4,5,3,7,6,2] => 6 [1,4,5,6,2,3,7] => 6 [1,4,5,6,2,7,3] => 3 [1,4,5,6,3,2,7] => 6 [1,4,5,6,3,7,2] => 3 [1,4,5,6,7,2,3] => 10 [1,4,5,6,7,3,2] => 10 [1,4,5,7,2,3,6] => 4 [1,4,5,7,2,6,3] => 2 [1,4,5,7,3,2,6] => 4 [1,4,5,7,3,6,2] => 2 [1,4,5,7,6,2,3] => 10 [1,4,5,7,6,3,2] => 10 [1,4,6,2,3,5,7] => 2 [1,4,6,2,3,7,5] => 2 [1,4,6,2,5,3,7] => 1 [1,4,6,2,5,7,3] => 1 [1,4,6,2,7,3,5] => 1 [1,4,6,2,7,5,3] => 1 [1,4,6,3,2,5,7] => 2 [1,4,6,3,2,7,5] => 2 [1,4,6,3,5,2,7] => 1 [1,4,6,3,5,7,2] => 1 [1,4,6,3,7,2,5] => 1 [1,4,6,3,7,5,2] => 1 [1,4,6,5,2,3,7] => 6 [1,4,6,5,2,7,3] => 3 [1,4,6,5,3,2,7] => 6 [1,4,6,5,3,7,2] => 3 ----------------------------------------------------------------------------- Created: Apr 05, 2016 at 17:34 by Jiang Zeng ----------------------------------------------------------------------------- Last Updated: May 10, 2019 at 17:36 by Henning Ulfarsson