***************************************************************************** * 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: St000756 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The sum of the positions of the left to right maxima of a permutation. The generating function for this statistic is $$\sum_{\pi\in\mathfrak S_n} q^{slrmax(pi)} = \prod_{k=1}^n (q^k+k-1),$$ see [prop. 2.6., 1]. ----------------------------------------------------------------------------- References: [1] Kortchemski, I. Asymptotic behavior of permutation records [[arXiv:0804.0446]] [2] Triangle read by rows: T(n,k) is the number of permutations of [n] for which the sum of the positions of the left-to-right maxima is k (1<=k<=n(n+1)/2). [[OEIS:A143946]] ----------------------------------------------------------------------------- Code: def statistic(pi): """ sage: r=5; factor(sum(x^statistic(pi) for pi in Permutations(r))) (x^5 + 4)*(x^4 + 3)*(x^3 + 2)*(x^2 + 1)*x """ pi = list(pi) i = 0 res = 0 for j in range(len(pi)): if pi[j] > i: i = pi[j] res += j+1 return res ----------------------------------------------------------------------------- Statistic values: [1] => 1 [1,2] => 3 [2,1] => 1 [1,2,3] => 6 [1,3,2] => 3 [2,1,3] => 4 [2,3,1] => 3 [3,1,2] => 1 [3,2,1] => 1 [1,2,3,4] => 10 [1,2,4,3] => 6 [1,3,2,4] => 7 [1,3,4,2] => 6 [1,4,2,3] => 3 [1,4,3,2] => 3 [2,1,3,4] => 8 [2,1,4,3] => 4 [2,3,1,4] => 7 [2,3,4,1] => 6 [2,4,1,3] => 3 [2,4,3,1] => 3 [3,1,2,4] => 5 [3,1,4,2] => 4 [3,2,1,4] => 5 [3,2,4,1] => 4 [3,4,1,2] => 3 [3,4,2,1] => 3 [4,1,2,3] => 1 [4,1,3,2] => 1 [4,2,1,3] => 1 [4,2,3,1] => 1 [4,3,1,2] => 1 [4,3,2,1] => 1 [1,2,3,4,5] => 15 [1,2,3,5,4] => 10 [1,2,4,3,5] => 11 [1,2,4,5,3] => 10 [1,2,5,3,4] => 6 [1,2,5,4,3] => 6 [1,3,2,4,5] => 12 [1,3,2,5,4] => 7 [1,3,4,2,5] => 11 [1,3,4,5,2] => 10 [1,3,5,2,4] => 6 [1,3,5,4,2] => 6 [1,4,2,3,5] => 8 [1,4,2,5,3] => 7 [1,4,3,2,5] => 8 [1,4,3,5,2] => 7 [1,4,5,2,3] => 6 [1,4,5,3,2] => 6 [1,5,2,3,4] => 3 [1,5,2,4,3] => 3 [1,5,3,2,4] => 3 [1,5,3,4,2] => 3 [1,5,4,2,3] => 3 [1,5,4,3,2] => 3 [2,1,3,4,5] => 13 [2,1,3,5,4] => 8 [2,1,4,3,5] => 9 [2,1,4,5,3] => 8 [2,1,5,3,4] => 4 [2,1,5,4,3] => 4 [2,3,1,4,5] => 12 [2,3,1,5,4] => 7 [2,3,4,1,5] => 11 [2,3,4,5,1] => 10 [2,3,5,1,4] => 6 [2,3,5,4,1] => 6 [2,4,1,3,5] => 8 [2,4,1,5,3] => 7 [2,4,3,1,5] => 8 [2,4,3,5,1] => 7 [2,4,5,1,3] => 6 [2,4,5,3,1] => 6 [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] => 3 [3,1,2,4,5] => 10 [3,1,2,5,4] => 5 [3,1,4,2,5] => 9 [3,1,4,5,2] => 8 [3,1,5,2,4] => 4 [3,1,5,4,2] => 4 [3,2,1,4,5] => 10 [3,2,1,5,4] => 5 [3,2,4,1,5] => 9 [3,2,4,5,1] => 8 [3,2,5,1,4] => 4 [3,2,5,4,1] => 4 [3,4,1,2,5] => 8 [3,4,1,5,2] => 7 [3,4,2,1,5] => 8 [3,4,2,5,1] => 7 [3,4,5,1,2] => 6 [3,4,5,2,1] => 6 [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] => 3 [3,5,4,2,1] => 3 [4,1,2,3,5] => 6 [4,1,2,5,3] => 5 [4,1,3,2,5] => 6 [4,1,3,5,2] => 5 [4,1,5,2,3] => 4 [4,1,5,3,2] => 4 [4,2,1,3,5] => 6 [4,2,1,5,3] => 5 [4,2,3,1,5] => 6 [4,2,3,5,1] => 5 [4,2,5,1,3] => 4 [4,2,5,3,1] => 4 [4,3,1,2,5] => 6 [4,3,1,5,2] => 5 [4,3,2,1,5] => 6 [4,3,2,5,1] => 5 [4,3,5,1,2] => 4 [4,3,5,2,1] => 4 [4,5,1,2,3] => 3 [4,5,1,3,2] => 3 [4,5,2,1,3] => 3 [4,5,2,3,1] => 3 [4,5,3,1,2] => 3 [4,5,3,2,1] => 3 [5,1,2,3,4] => 1 [5,1,2,4,3] => 1 [5,1,3,2,4] => 1 [5,1,3,4,2] => 1 [5,1,4,2,3] => 1 [5,1,4,3,2] => 1 [5,2,1,3,4] => 1 [5,2,1,4,3] => 1 [5,2,3,1,4] => 1 [5,2,3,4,1] => 1 [5,2,4,1,3] => 1 [5,2,4,3,1] => 1 [5,3,1,2,4] => 1 [5,3,1,4,2] => 1 [5,3,2,1,4] => 1 [5,3,2,4,1] => 1 [5,3,4,1,2] => 1 [5,3,4,2,1] => 1 [5,4,1,2,3] => 1 [5,4,1,3,2] => 1 [5,4,2,1,3] => 1 [5,4,2,3,1] => 1 [5,4,3,1,2] => 1 [5,4,3,2,1] => 1 [1,2,3,4,5,6] => 21 [1,2,3,4,6,5] => 15 [1,2,3,5,4,6] => 16 [1,2,3,5,6,4] => 15 [1,2,3,6,4,5] => 10 [1,2,3,6,5,4] => 10 [1,2,4,3,5,6] => 17 [1,2,4,3,6,5] => 11 [1,2,4,5,3,6] => 16 [1,2,4,5,6,3] => 15 [1,2,4,6,3,5] => 10 [1,2,4,6,5,3] => 10 [1,2,5,3,4,6] => 12 [1,2,5,3,6,4] => 11 [1,2,5,4,3,6] => 12 [1,2,5,4,6,3] => 11 [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] => 6 [1,2,6,5,3,4] => 6 [1,2,6,5,4,3] => 6 [1,3,2,4,5,6] => 18 [1,3,2,4,6,5] => 12 [1,3,2,5,4,6] => 13 [1,3,2,5,6,4] => 12 [1,3,2,6,4,5] => 7 [1,3,2,6,5,4] => 7 [1,3,4,2,5,6] => 17 [1,3,4,2,6,5] => 11 [1,3,4,5,2,6] => 16 [1,3,4,5,6,2] => 15 [1,3,4,6,2,5] => 10 [1,3,4,6,5,2] => 10 [1,3,5,2,4,6] => 12 [1,3,5,2,6,4] => 11 [1,3,5,4,2,6] => 12 [1,3,5,4,6,2] => 11 [1,3,5,6,2,4] => 10 [1,3,5,6,4,2] => 10 [1,3,6,2,4,5] => 6 [1,3,6,2,5,4] => 6 [1,3,6,4,2,5] => 6 [1,3,6,4,5,2] => 6 [1,3,6,5,2,4] => 6 [1,3,6,5,4,2] => 6 [1,4,2,3,5,6] => 14 [1,4,2,3,6,5] => 8 [1,4,2,5,3,6] => 13 [1,4,2,5,6,3] => 12 [1,4,2,6,3,5] => 7 [1,4,2,6,5,3] => 7 [1,4,3,2,5,6] => 14 [1,4,3,2,6,5] => 8 [1,4,3,5,2,6] => 13 [1,4,3,5,6,2] => 12 [1,4,3,6,2,5] => 7 [1,4,3,6,5,2] => 7 [1,4,5,2,3,6] => 12 [1,4,5,2,6,3] => 11 [1,4,5,3,2,6] => 12 [1,4,5,3,6,2] => 11 [1,4,5,6,2,3] => 10 [1,4,5,6,3,2] => 10 [1,4,6,2,3,5] => 6 [1,4,6,2,5,3] => 6 [1,4,6,3,2,5] => 6 [1,4,6,3,5,2] => 6 [1,4,6,5,2,3] => 6 [1,4,6,5,3,2] => 6 [1,5,2,3,4,6] => 9 [1,5,2,3,6,4] => 8 [1,5,2,4,3,6] => 9 [1,5,2,4,6,3] => 8 [1,5,2,6,3,4] => 7 [1,5,2,6,4,3] => 7 [1,5,3,2,4,6] => 9 [1,5,3,2,6,4] => 8 [1,5,3,4,2,6] => 9 [1,5,3,4,6,2] => 8 [1,5,3,6,2,4] => 7 [1,5,3,6,4,2] => 7 [1,5,4,2,3,6] => 9 [1,5,4,2,6,3] => 8 [1,5,4,3,2,6] => 9 [1,5,4,3,6,2] => 8 [1,5,4,6,2,3] => 7 [1,5,4,6,3,2] => 7 [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] => 6 [1,5,6,4,2,3] => 6 [1,5,6,4,3,2] => 6 [1,6,2,3,4,5] => 3 [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] => 3 [1,6,3,2,4,5] => 3 [1,6,3,2,5,4] => 3 [1,6,3,4,2,5] => 3 [1,6,3,4,5,2] => 3 [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] => 3 [1,6,4,3,5,2] => 3 [1,6,4,5,2,3] => 3 [1,6,4,5,3,2] => 3 [1,6,5,2,3,4] => 3 [1,6,5,2,4,3] => 3 [1,6,5,3,2,4] => 3 [1,6,5,3,4,2] => 3 [1,6,5,4,2,3] => 3 [1,6,5,4,3,2] => 3 [2,1,3,4,5,6] => 19 [2,1,3,4,6,5] => 13 [2,1,3,5,4,6] => 14 [2,1,3,5,6,4] => 13 [2,1,3,6,4,5] => 8 [2,1,3,6,5,4] => 8 [2,1,4,3,5,6] => 15 [2,1,4,3,6,5] => 9 [2,1,4,5,3,6] => 14 [2,1,4,5,6,3] => 13 [2,1,4,6,3,5] => 8 [2,1,4,6,5,3] => 8 [2,1,5,3,4,6] => 10 [2,1,5,3,6,4] => 9 [2,1,5,4,3,6] => 10 [2,1,5,4,6,3] => 9 [2,1,5,6,3,4] => 8 [2,1,5,6,4,3] => 8 [2,1,6,3,4,5] => 4 [2,1,6,3,5,4] => 4 [2,1,6,4,3,5] => 4 [2,1,6,4,5,3] => 4 [2,1,6,5,3,4] => 4 [2,1,6,5,4,3] => 4 [2,3,1,4,5,6] => 18 [2,3,1,4,6,5] => 12 [2,3,1,5,4,6] => 13 [2,3,1,5,6,4] => 12 [2,3,1,6,4,5] => 7 [2,3,1,6,5,4] => 7 [2,3,4,1,5,6] => 17 [2,3,4,1,6,5] => 11 [2,3,4,5,1,6] => 16 [2,3,4,5,6,1] => 15 [2,3,4,6,1,5] => 10 [2,3,4,6,5,1] => 10 [2,3,5,1,4,6] => 12 [2,3,5,1,6,4] => 11 [2,3,5,4,1,6] => 12 [2,3,5,4,6,1] => 11 [2,3,5,6,1,4] => 10 [2,3,5,6,4,1] => 10 [2,3,6,1,4,5] => 6 [2,3,6,1,5,4] => 6 [2,3,6,4,1,5] => 6 [2,3,6,4,5,1] => 6 [2,3,6,5,1,4] => 6 [2,3,6,5,4,1] => 6 [2,4,1,3,5,6] => 14 [2,4,1,3,6,5] => 8 [2,4,1,5,3,6] => 13 [2,4,1,5,6,3] => 12 [2,4,1,6,3,5] => 7 [2,4,1,6,5,3] => 7 [2,4,3,1,5,6] => 14 [2,4,3,1,6,5] => 8 [2,4,3,5,1,6] => 13 [2,4,3,5,6,1] => 12 [2,4,3,6,1,5] => 7 [2,4,3,6,5,1] => 7 [2,4,5,1,3,6] => 12 [2,4,5,1,6,3] => 11 [2,4,5,3,1,6] => 12 [2,4,5,3,6,1] => 11 [2,4,5,6,1,3] => 10 [2,4,5,6,3,1] => 10 [2,4,6,1,3,5] => 6 [2,4,6,1,5,3] => 6 [2,4,6,3,1,5] => 6 [2,4,6,3,5,1] => 6 [2,4,6,5,1,3] => 6 [2,4,6,5,3,1] => 6 [2,5,1,3,4,6] => 9 [2,5,1,3,6,4] => 8 [2,5,1,4,3,6] => 9 [2,5,1,4,6,3] => 8 [2,5,1,6,3,4] => 7 [2,5,1,6,4,3] => 7 [2,5,3,1,4,6] => 9 [2,5,3,1,6,4] => 8 [2,5,3,4,1,6] => 9 [2,5,3,4,6,1] => 8 [2,5,3,6,1,4] => 7 [2,5,3,6,4,1] => 7 [2,5,4,1,3,6] => 9 [2,5,4,1,6,3] => 8 [2,5,4,3,1,6] => 9 [2,5,4,3,6,1] => 8 [2,5,4,6,1,3] => 7 [2,5,4,6,3,1] => 7 [2,5,6,1,3,4] => 6 [2,5,6,1,4,3] => 6 [2,5,6,3,1,4] => 6 [2,5,6,3,4,1] => 6 [2,5,6,4,1,3] => 6 [2,5,6,4,3,1] => 6 [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] => 3 [2,6,3,1,5,4] => 3 [2,6,3,4,1,5] => 3 [2,6,3,4,5,1] => 3 [2,6,3,5,1,4] => 3 [2,6,3,5,4,1] => 3 [2,6,4,1,3,5] => 3 [2,6,4,1,5,3] => 3 [2,6,4,3,1,5] => 3 [2,6,4,3,5,1] => 3 [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] => 3 [2,6,5,3,4,1] => 3 [2,6,5,4,1,3] => 3 [2,6,5,4,3,1] => 3 [3,1,2,4,5,6] => 16 [3,1,2,4,6,5] => 10 [3,1,2,5,4,6] => 11 [3,1,2,5,6,4] => 10 [3,1,2,6,4,5] => 5 [3,1,2,6,5,4] => 5 [3,1,4,2,5,6] => 15 [3,1,4,2,6,5] => 9 [3,1,4,5,2,6] => 14 [3,1,4,5,6,2] => 13 [3,1,4,6,2,5] => 8 [3,1,4,6,5,2] => 8 [3,1,5,2,4,6] => 10 [3,1,5,2,6,4] => 9 [3,1,5,4,2,6] => 10 [3,1,5,4,6,2] => 9 [3,1,5,6,2,4] => 8 [3,1,5,6,4,2] => 8 [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] => 4 [3,2,1,4,5,6] => 16 [3,2,1,4,6,5] => 10 [3,2,1,5,4,6] => 11 [3,2,1,5,6,4] => 10 [3,2,1,6,4,5] => 5 [3,2,1,6,5,4] => 5 [3,2,4,1,5,6] => 15 [3,2,4,1,6,5] => 9 [3,2,4,5,1,6] => 14 [3,2,4,5,6,1] => 13 [3,2,4,6,1,5] => 8 [3,2,4,6,5,1] => 8 [3,2,5,1,4,6] => 10 [3,2,5,1,6,4] => 9 [3,2,5,4,1,6] => 10 [3,2,5,4,6,1] => 9 [3,2,5,6,1,4] => 8 [3,2,5,6,4,1] => 8 [3,2,6,1,4,5] => 4 [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] => 4 [3,2,6,5,4,1] => 4 [3,4,1,2,5,6] => 14 [3,4,1,2,6,5] => 8 [3,4,1,5,2,6] => 13 [3,4,1,5,6,2] => 12 [3,4,1,6,2,5] => 7 [3,4,1,6,5,2] => 7 [3,4,2,1,5,6] => 14 [3,4,2,1,6,5] => 8 [3,4,2,5,1,6] => 13 [3,4,2,5,6,1] => 12 [3,4,2,6,1,5] => 7 [3,4,2,6,5,1] => 7 [3,4,5,1,2,6] => 12 [3,4,5,1,6,2] => 11 [3,4,5,2,1,6] => 12 [3,4,5,2,6,1] => 11 [3,4,5,6,1,2] => 10 [3,4,5,6,2,1] => 10 [3,4,6,1,2,5] => 6 [3,4,6,1,5,2] => 6 [3,4,6,2,1,5] => 6 [3,4,6,2,5,1] => 6 [3,4,6,5,1,2] => 6 [3,4,6,5,2,1] => 6 [3,5,1,2,4,6] => 9 [3,5,1,2,6,4] => 8 [3,5,1,4,2,6] => 9 [3,5,1,4,6,2] => 8 [3,5,1,6,2,4] => 7 [3,5,1,6,4,2] => 7 [3,5,2,1,4,6] => 9 [3,5,2,1,6,4] => 8 [3,5,2,4,1,6] => 9 [3,5,2,4,6,1] => 8 [3,5,2,6,1,4] => 7 [3,5,2,6,4,1] => 7 [3,5,4,1,2,6] => 9 [3,5,4,1,6,2] => 8 [3,5,4,2,1,6] => 9 [3,5,4,2,6,1] => 8 [3,5,4,6,1,2] => 7 [3,5,4,6,2,1] => 7 [3,5,6,1,2,4] => 6 [3,5,6,1,4,2] => 6 [3,5,6,2,1,4] => 6 [3,5,6,2,4,1] => 6 [3,5,6,4,1,2] => 6 [3,5,6,4,2,1] => 6 [3,6,1,2,4,5] => 3 [3,6,1,2,5,4] => 3 [3,6,1,4,2,5] => 3 [3,6,1,4,5,2] => 3 [3,6,1,5,2,4] => 3 [3,6,1,5,4,2] => 3 [3,6,2,1,4,5] => 3 [3,6,2,1,5,4] => 3 [3,6,2,4,1,5] => 3 [3,6,2,4,5,1] => 3 [3,6,2,5,1,4] => 3 [3,6,2,5,4,1] => 3 [3,6,4,1,2,5] => 3 [3,6,4,1,5,2] => 3 [3,6,4,2,1,5] => 3 [3,6,4,2,5,1] => 3 [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] => 3 [3,6,5,4,1,2] => 3 [3,6,5,4,2,1] => 3 [4,1,2,3,5,6] => 12 [4,1,2,3,6,5] => 6 [4,1,2,5,3,6] => 11 [4,1,2,5,6,3] => 10 [4,1,2,6,3,5] => 5 [4,1,2,6,5,3] => 5 [4,1,3,2,5,6] => 12 [4,1,3,2,6,5] => 6 [4,1,3,5,2,6] => 11 [4,1,3,5,6,2] => 10 [4,1,3,6,2,5] => 5 [4,1,3,6,5,2] => 5 [4,1,5,2,3,6] => 10 [4,1,5,2,6,3] => 9 [4,1,5,3,2,6] => 10 [4,1,5,3,6,2] => 9 [4,1,5,6,2,3] => 8 [4,1,5,6,3,2] => 8 [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] => 4 [4,1,6,5,3,2] => 4 [4,2,1,3,5,6] => 12 [4,2,1,3,6,5] => 6 [4,2,1,5,3,6] => 11 [4,2,1,5,6,3] => 10 [4,2,1,6,3,5] => 5 [4,2,1,6,5,3] => 5 [4,2,3,1,5,6] => 12 [4,2,3,1,6,5] => 6 [4,2,3,5,1,6] => 11 [4,2,3,5,6,1] => 10 [4,2,3,6,1,5] => 5 [4,2,3,6,5,1] => 5 [4,2,5,1,3,6] => 10 [4,2,5,1,6,3] => 9 [4,2,5,3,1,6] => 10 [4,2,5,3,6,1] => 9 [4,2,5,6,1,3] => 8 [4,2,5,6,3,1] => 8 [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] => 4 [4,2,6,5,3,1] => 4 [4,3,1,2,5,6] => 12 [4,3,1,2,6,5] => 6 [4,3,1,5,2,6] => 11 [4,3,1,5,6,2] => 10 [4,3,1,6,2,5] => 5 [4,3,1,6,5,2] => 5 [4,3,2,1,5,6] => 12 [4,3,2,1,6,5] => 6 [4,3,2,5,1,6] => 11 [4,3,2,5,6,1] => 10 [4,3,2,6,1,5] => 5 [4,3,2,6,5,1] => 5 [4,3,5,1,2,6] => 10 [4,3,5,1,6,2] => 9 [4,3,5,2,1,6] => 10 [4,3,5,2,6,1] => 9 [4,3,5,6,1,2] => 8 [4,3,5,6,2,1] => 8 [4,3,6,1,2,5] => 4 [4,3,6,1,5,2] => 4 [4,3,6,2,1,5] => 4 [4,3,6,2,5,1] => 4 [4,3,6,5,1,2] => 4 [4,3,6,5,2,1] => 4 [4,5,1,2,3,6] => 9 [4,5,1,2,6,3] => 8 [4,5,1,3,2,6] => 9 [4,5,1,3,6,2] => 8 [4,5,1,6,2,3] => 7 [4,5,1,6,3,2] => 7 [4,5,2,1,3,6] => 9 [4,5,2,1,6,3] => 8 [4,5,2,3,1,6] => 9 [4,5,2,3,6,1] => 8 [4,5,2,6,1,3] => 7 [4,5,2,6,3,1] => 7 [4,5,3,1,2,6] => 9 [4,5,3,1,6,2] => 8 [4,5,3,2,1,6] => 9 [4,5,3,2,6,1] => 8 [4,5,3,6,1,2] => 7 [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] => 6 [4,5,6,2,3,1] => 6 [4,5,6,3,1,2] => 6 [4,5,6,3,2,1] => 6 [4,6,1,2,3,5] => 3 [4,6,1,2,5,3] => 3 [4,6,1,3,2,5] => 3 [4,6,1,3,5,2] => 3 [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] => 3 [4,6,2,5,3,1] => 3 [4,6,3,1,2,5] => 3 [4,6,3,1,5,2] => 3 [4,6,3,2,1,5] => 3 [4,6,3,2,5,1] => 3 [4,6,3,5,1,2] => 3 [4,6,3,5,2,1] => 3 [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] => 7 [5,1,2,3,6,4] => 6 [5,1,2,4,3,6] => 7 [5,1,2,4,6,3] => 6 [5,1,2,6,3,4] => 5 [5,1,2,6,4,3] => 5 [5,1,3,2,4,6] => 7 [5,1,3,2,6,4] => 6 [5,1,3,4,2,6] => 7 [5,1,3,4,6,2] => 6 [5,1,3,6,2,4] => 5 [5,1,3,6,4,2] => 5 [5,1,4,2,3,6] => 7 [5,1,4,2,6,3] => 6 [5,1,4,3,2,6] => 7 [5,1,4,3,6,2] => 6 [5,1,4,6,2,3] => 5 [5,1,4,6,3,2] => 5 [5,1,6,2,3,4] => 4 [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] => 4 [5,2,1,3,4,6] => 7 [5,2,1,3,6,4] => 6 [5,2,1,4,3,6] => 7 [5,2,1,4,6,3] => 6 [5,2,1,6,3,4] => 5 [5,2,1,6,4,3] => 5 [5,2,3,1,4,6] => 7 [5,2,3,1,6,4] => 6 [5,2,3,4,1,6] => 7 [5,2,3,4,6,1] => 6 [5,2,3,6,1,4] => 5 [5,2,3,6,4,1] => 5 [5,2,4,1,3,6] => 7 [5,2,4,1,6,3] => 6 [5,2,4,3,1,6] => 7 [5,2,4,3,6,1] => 6 [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] => 4 [5,2,6,3,4,1] => 4 [5,2,6,4,1,3] => 4 [5,2,6,4,3,1] => 4 [5,3,1,2,4,6] => 7 [5,3,1,2,6,4] => 6 [5,3,1,4,2,6] => 7 [5,3,1,4,6,2] => 6 [5,3,1,6,2,4] => 5 [5,3,1,6,4,2] => 5 [5,3,2,1,4,6] => 7 [5,3,2,1,6,4] => 6 [5,3,2,4,1,6] => 7 [5,3,2,4,6,1] => 6 [5,3,2,6,1,4] => 5 [5,3,2,6,4,1] => 5 [5,3,4,1,2,6] => 7 [5,3,4,1,6,2] => 6 [5,3,4,2,1,6] => 7 [5,3,4,2,6,1] => 6 [5,3,4,6,1,2] => 5 [5,3,4,6,2,1] => 5 [5,3,6,1,2,4] => 4 [5,3,6,1,4,2] => 4 [5,3,6,2,1,4] => 4 [5,3,6,2,4,1] => 4 [5,3,6,4,1,2] => 4 [5,3,6,4,2,1] => 4 [5,4,1,2,3,6] => 7 [5,4,1,2,6,3] => 6 [5,4,1,3,2,6] => 7 [5,4,1,3,6,2] => 6 [5,4,1,6,2,3] => 5 [5,4,1,6,3,2] => 5 [5,4,2,1,3,6] => 7 [5,4,2,1,6,3] => 6 [5,4,2,3,1,6] => 7 [5,4,2,3,6,1] => 6 [5,4,2,6,1,3] => 5 [5,4,2,6,3,1] => 5 [5,4,3,1,2,6] => 7 [5,4,3,1,6,2] => 6 [5,4,3,2,1,6] => 7 [5,4,3,2,6,1] => 6 [5,4,3,6,1,2] => 5 [5,4,3,6,2,1] => 5 [5,4,6,1,2,3] => 4 [5,4,6,1,3,2] => 4 [5,4,6,2,1,3] => 4 [5,4,6,2,3,1] => 4 [5,4,6,3,1,2] => 4 [5,4,6,3,2,1] => 4 [5,6,1,2,3,4] => 3 [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] => 3 [5,6,2,1,3,4] => 3 [5,6,2,1,4,3] => 3 [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] => 3 [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] => 3 [6,1,2,3,4,5] => 1 [6,1,2,3,5,4] => 1 [6,1,2,4,3,5] => 1 [6,1,2,4,5,3] => 1 [6,1,2,5,3,4] => 1 [6,1,2,5,4,3] => 1 [6,1,3,2,4,5] => 1 [6,1,3,2,5,4] => 1 [6,1,3,4,2,5] => 1 [6,1,3,4,5,2] => 1 [6,1,3,5,2,4] => 1 [6,1,3,5,4,2] => 1 [6,1,4,2,3,5] => 1 [6,1,4,2,5,3] => 1 [6,1,4,3,2,5] => 1 [6,1,4,3,5,2] => 1 [6,1,4,5,2,3] => 1 [6,1,4,5,3,2] => 1 [6,1,5,2,3,4] => 1 [6,1,5,2,4,3] => 1 [6,1,5,3,2,4] => 1 [6,1,5,3,4,2] => 1 [6,1,5,4,2,3] => 1 [6,1,5,4,3,2] => 1 [6,2,1,3,4,5] => 1 [6,2,1,3,5,4] => 1 [6,2,1,4,3,5] => 1 [6,2,1,4,5,3] => 1 [6,2,1,5,3,4] => 1 [6,2,1,5,4,3] => 1 [6,2,3,1,4,5] => 1 [6,2,3,1,5,4] => 1 [6,2,3,4,1,5] => 1 [6,2,3,4,5,1] => 1 [6,2,3,5,1,4] => 1 [6,2,3,5,4,1] => 1 [6,2,4,1,3,5] => 1 [6,2,4,1,5,3] => 1 [6,2,4,3,1,5] => 1 [6,2,4,3,5,1] => 1 [6,2,4,5,1,3] => 1 [6,2,4,5,3,1] => 1 [6,2,5,1,3,4] => 1 [6,2,5,1,4,3] => 1 [6,2,5,3,1,4] => 1 [6,2,5,3,4,1] => 1 [6,2,5,4,1,3] => 1 [6,2,5,4,3,1] => 1 [6,3,1,2,4,5] => 1 [6,3,1,2,5,4] => 1 [6,3,1,4,2,5] => 1 [6,3,1,4,5,2] => 1 [6,3,1,5,2,4] => 1 [6,3,1,5,4,2] => 1 [6,3,2,1,4,5] => 1 [6,3,2,1,5,4] => 1 [6,3,2,4,1,5] => 1 [6,3,2,4,5,1] => 1 [6,3,2,5,1,4] => 1 [6,3,2,5,4,1] => 1 [6,3,4,1,2,5] => 1 [6,3,4,1,5,2] => 1 [6,3,4,2,1,5] => 1 [6,3,4,2,5,1] => 1 [6,3,4,5,1,2] => 1 [6,3,4,5,2,1] => 1 [6,3,5,1,2,4] => 1 [6,3,5,1,4,2] => 1 [6,3,5,2,1,4] => 1 [6,3,5,2,4,1] => 1 [6,3,5,4,1,2] => 1 [6,3,5,4,2,1] => 1 [6,4,1,2,3,5] => 1 [6,4,1,2,5,3] => 1 [6,4,1,3,2,5] => 1 [6,4,1,3,5,2] => 1 [6,4,1,5,2,3] => 1 [6,4,1,5,3,2] => 1 [6,4,2,1,3,5] => 1 [6,4,2,1,5,3] => 1 [6,4,2,3,1,5] => 1 [6,4,2,3,5,1] => 1 [6,4,2,5,1,3] => 1 [6,4,2,5,3,1] => 1 [6,4,3,1,2,5] => 1 [6,4,3,1,5,2] => 1 [6,4,3,2,1,5] => 1 [6,4,3,2,5,1] => 1 [6,4,3,5,1,2] => 1 [6,4,3,5,2,1] => 1 [6,4,5,1,2,3] => 1 [6,4,5,1,3,2] => 1 [6,4,5,2,1,3] => 1 [6,4,5,2,3,1] => 1 [6,4,5,3,1,2] => 1 [6,4,5,3,2,1] => 1 [6,5,1,2,3,4] => 1 [6,5,1,2,4,3] => 1 [6,5,1,3,2,4] => 1 [6,5,1,3,4,2] => 1 [6,5,1,4,2,3] => 1 [6,5,1,4,3,2] => 1 [6,5,2,1,3,4] => 1 [6,5,2,1,4,3] => 1 [6,5,2,3,1,4] => 1 [6,5,2,3,4,1] => 1 [6,5,2,4,1,3] => 1 [6,5,2,4,3,1] => 1 [6,5,3,1,2,4] => 1 [6,5,3,1,4,2] => 1 [6,5,3,2,1,4] => 1 [6,5,3,2,4,1] => 1 [6,5,3,4,1,2] => 1 [6,5,3,4,2,1] => 1 [6,5,4,1,2,3] => 1 [6,5,4,1,3,2] => 1 [6,5,4,2,1,3] => 1 [6,5,4,2,3,1] => 1 [6,5,4,3,1,2] => 1 [6,5,4,3,2,1] => 1 [1,2,3,4,5,6,7] => 28 [1,2,3,4,5,7,6] => 21 [1,2,3,4,6,5,7] => 22 [1,2,3,4,6,7,5] => 21 [1,2,3,4,7,5,6] => 15 [1,2,3,4,7,6,5] => 15 [1,2,3,5,4,6,7] => 23 [1,2,3,5,4,7,6] => 16 [1,2,3,5,6,4,7] => 22 [1,2,3,5,6,7,4] => 21 [1,2,3,5,7,4,6] => 15 [1,2,3,5,7,6,4] => 15 [1,2,3,6,4,5,7] => 17 [1,2,3,6,4,7,5] => 16 [1,2,3,6,5,4,7] => 17 [1,2,3,6,5,7,4] => 16 [1,2,3,6,7,4,5] => 15 [1,2,3,6,7,5,4] => 15 [1,2,3,7,4,5,6] => 10 [1,2,3,7,4,6,5] => 10 [1,2,3,7,5,4,6] => 10 [1,2,3,7,5,6,4] => 10 [1,2,3,7,6,4,5] => 10 [1,2,3,7,6,5,4] => 10 [1,2,4,3,5,6,7] => 24 [1,2,4,3,5,7,6] => 17 [1,2,4,3,6,5,7] => 18 [1,2,4,3,6,7,5] => 17 [1,2,4,3,7,5,6] => 11 [1,2,4,3,7,6,5] => 11 [1,2,4,5,3,6,7] => 23 [1,2,4,5,3,7,6] => 16 [1,2,4,5,6,3,7] => 22 [1,2,4,5,6,7,3] => 21 [1,2,4,5,7,3,6] => 15 [1,2,4,5,7,6,3] => 15 [1,2,4,6,3,5,7] => 17 [1,2,4,6,3,7,5] => 16 [1,2,4,6,5,3,7] => 17 [1,2,4,6,5,7,3] => 16 [1,2,4,6,7,3,5] => 15 [1,2,4,6,7,5,3] => 15 [1,2,4,7,3,5,6] => 10 [1,2,4,7,3,6,5] => 10 [1,2,4,7,5,3,6] => 10 [1,2,4,7,5,6,3] => 10 [1,2,4,7,6,3,5] => 10 [1,2,4,7,6,5,3] => 10 [1,2,5,3,4,6,7] => 19 [1,2,5,3,4,7,6] => 12 [1,2,5,3,6,4,7] => 18 [1,2,5,3,6,7,4] => 17 [1,2,5,3,7,4,6] => 11 [1,2,5,3,7,6,4] => 11 [1,2,5,4,3,6,7] => 19 [1,2,5,4,3,7,6] => 12 [1,2,5,4,6,3,7] => 18 [1,2,5,4,6,7,3] => 17 [1,2,5,4,7,3,6] => 11 [1,2,5,4,7,6,3] => 11 [1,2,5,6,3,4,7] => 17 [1,2,5,6,3,7,4] => 16 [1,2,5,6,4,3,7] => 17 [1,2,5,6,4,7,3] => 16 [1,2,5,6,7,3,4] => 15 [1,2,5,6,7,4,3] => 15 [1,2,5,7,3,4,6] => 10 [1,2,5,7,3,6,4] => 10 [1,2,5,7,4,3,6] => 10 [1,2,5,7,4,6,3] => 10 [1,2,5,7,6,3,4] => 10 [1,2,5,7,6,4,3] => 10 [1,2,6,3,4,5,7] => 13 [1,2,6,3,4,7,5] => 12 [1,2,6,3,5,4,7] => 13 [1,2,6,3,5,7,4] => 12 [1,2,6,3,7,4,5] => 11 [1,2,6,3,7,5,4] => 11 [1,2,6,4,3,5,7] => 13 [1,2,6,4,3,7,5] => 12 [1,2,6,4,5,3,7] => 13 [1,2,6,4,5,7,3] => 12 [1,2,6,4,7,3,5] => 11 [1,2,6,4,7,5,3] => 11 [1,2,6,5,3,4,7] => 13 [1,2,6,5,3,7,4] => 12 [1,2,6,5,4,3,7] => 13 [1,2,6,5,4,7,3] => 12 [1,2,6,5,7,3,4] => 11 [1,2,6,5,7,4,3] => 11 [1,2,6,7,3,4,5] => 10 [1,2,6,7,3,5,4] => 10 [1,2,6,7,4,3,5] => 10 [1,2,6,7,4,5,3] => 10 [1,2,6,7,5,3,4] => 10 [1,2,6,7,5,4,3] => 10 [1,2,7,3,4,5,6] => 6 [1,2,7,3,4,6,5] => 6 [1,2,7,3,5,4,6] => 6 [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] => 6 [1,2,7,4,3,6,5] => 6 [1,2,7,4,5,3,6] => 6 [1,2,7,4,5,6,3] => 6 [1,2,7,4,6,3,5] => 6 [1,2,7,4,6,5,3] => 6 [1,2,7,5,3,4,6] => 6 [1,2,7,5,3,6,4] => 6 [1,2,7,5,4,3,6] => 6 [1,2,7,5,4,6,3] => 6 [1,2,7,5,6,3,4] => 6 [1,2,7,5,6,4,3] => 6 [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] => 25 [1,3,2,4,5,7,6] => 18 [1,3,2,4,6,5,7] => 19 [1,3,2,4,6,7,5] => 18 [1,3,2,4,7,5,6] => 12 [1,3,2,4,7,6,5] => 12 [1,3,2,5,4,6,7] => 20 [1,3,2,5,4,7,6] => 13 [1,3,2,5,6,4,7] => 19 [1,3,2,5,6,7,4] => 18 [1,3,2,5,7,4,6] => 12 [1,3,2,5,7,6,4] => 12 [1,3,2,6,4,5,7] => 14 [1,3,2,6,4,7,5] => 13 [1,3,2,6,5,4,7] => 14 [1,3,2,6,5,7,4] => 13 [1,3,2,6,7,4,5] => 12 [1,3,2,6,7,5,4] => 12 [1,3,2,7,4,5,6] => 7 [1,3,2,7,4,6,5] => 7 [1,3,2,7,5,4,6] => 7 [1,3,2,7,5,6,4] => 7 [1,3,2,7,6,4,5] => 7 [1,3,2,7,6,5,4] => 7 [1,3,4,2,5,6,7] => 24 [1,3,4,2,5,7,6] => 17 [1,3,4,2,6,5,7] => 18 [1,3,4,2,6,7,5] => 17 [1,3,4,2,7,5,6] => 11 [1,3,4,2,7,6,5] => 11 [1,3,4,5,2,6,7] => 23 [1,3,4,5,2,7,6] => 16 [1,3,4,5,6,2,7] => 22 [1,3,4,5,6,7,2] => 21 [1,3,4,5,7,2,6] => 15 [1,3,4,5,7,6,2] => 15 [1,3,4,6,2,5,7] => 17 [1,3,4,6,2,7,5] => 16 [1,3,4,6,5,2,7] => 17 [1,3,4,6,5,7,2] => 16 [1,3,4,6,7,2,5] => 15 [1,3,4,6,7,5,2] => 15 [1,3,4,7,2,5,6] => 10 [1,3,4,7,2,6,5] => 10 [1,3,4,7,5,2,6] => 10 [1,3,4,7,5,6,2] => 10 [1,3,4,7,6,2,5] => 10 [1,3,4,7,6,5,2] => 10 [1,3,5,2,4,6,7] => 19 [1,3,5,2,4,7,6] => 12 [1,3,5,2,6,4,7] => 18 [1,3,5,2,6,7,4] => 17 [1,3,5,2,7,4,6] => 11 [1,3,5,2,7,6,4] => 11 [1,3,5,4,2,6,7] => 19 [1,3,5,4,2,7,6] => 12 [1,3,5,4,6,2,7] => 18 [1,3,5,4,6,7,2] => 17 [1,3,5,4,7,2,6] => 11 [1,3,5,4,7,6,2] => 11 [1,3,5,6,2,4,7] => 17 [1,3,5,6,2,7,4] => 16 [1,3,5,6,4,2,7] => 17 [1,3,5,6,4,7,2] => 16 [1,3,5,6,7,2,4] => 15 [1,3,5,6,7,4,2] => 15 [1,3,5,7,2,4,6] => 10 [1,3,5,7,2,6,4] => 10 [1,3,5,7,4,2,6] => 10 [1,3,5,7,4,6,2] => 10 [1,3,5,7,6,2,4] => 10 [1,3,5,7,6,4,2] => 10 [1,3,6,2,4,5,7] => 13 [1,3,6,2,4,7,5] => 12 [1,3,6,2,5,4,7] => 13 [1,3,6,2,5,7,4] => 12 [1,3,6,2,7,4,5] => 11 [1,3,6,2,7,5,4] => 11 [1,3,6,4,2,5,7] => 13 [1,3,6,4,2,7,5] => 12 [1,3,6,4,5,2,7] => 13 [1,3,6,4,5,7,2] => 12 [1,3,6,4,7,2,5] => 11 [1,3,6,4,7,5,2] => 11 [1,3,6,5,2,4,7] => 13 [1,3,6,5,2,7,4] => 12 [1,3,6,5,4,2,7] => 13 [1,3,6,5,4,7,2] => 12 [1,3,6,5,7,2,4] => 11 [1,3,6,5,7,4,2] => 11 [1,3,6,7,2,4,5] => 10 [1,3,6,7,2,5,4] => 10 [1,3,6,7,4,2,5] => 10 [1,3,6,7,4,5,2] => 10 [1,3,6,7,5,2,4] => 10 [1,3,6,7,5,4,2] => 10 [1,3,7,2,4,5,6] => 6 [1,3,7,2,4,6,5] => 6 [1,3,7,2,5,4,6] => 6 [1,3,7,2,5,6,4] => 6 [1,3,7,2,6,4,5] => 6 [1,3,7,2,6,5,4] => 6 [1,3,7,4,2,5,6] => 6 [1,3,7,4,2,6,5] => 6 [1,3,7,4,5,2,6] => 6 [1,3,7,4,5,6,2] => 6 [1,3,7,4,6,2,5] => 6 [1,3,7,4,6,5,2] => 6 [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] => 6 [1,3,7,6,2,5,4] => 6 [1,3,7,6,4,2,5] => 6 [1,3,7,6,4,5,2] => 6 [1,3,7,6,5,2,4] => 6 [1,3,7,6,5,4,2] => 6 [1,4,2,3,5,6,7] => 21 [1,4,2,3,5,7,6] => 14 [1,4,2,3,6,5,7] => 15 [1,4,2,3,6,7,5] => 14 [1,4,2,3,7,5,6] => 8 [1,4,2,3,7,6,5] => 8 [1,4,2,5,3,6,7] => 20 [1,4,2,5,3,7,6] => 13 [1,4,2,5,6,3,7] => 19 [1,4,2,5,6,7,3] => 18 [1,4,2,5,7,3,6] => 12 [1,4,2,5,7,6,3] => 12 [1,4,2,6,3,5,7] => 14 [1,4,2,6,3,7,5] => 13 [1,4,2,6,5,3,7] => 14 [1,4,2,6,5,7,3] => 13 [1,4,2,6,7,3,5] => 12 [1,4,2,6,7,5,3] => 12 [1,4,2,7,3,5,6] => 7 [1,4,2,7,3,6,5] => 7 [1,4,2,7,5,3,6] => 7 [1,4,2,7,5,6,3] => 7 [1,4,2,7,6,3,5] => 7 [1,4,2,7,6,5,3] => 7 [1,4,3,2,5,6,7] => 21 [1,4,3,2,5,7,6] => 14 [1,4,3,2,6,5,7] => 15 [1,4,3,2,6,7,5] => 14 [1,4,3,2,7,5,6] => 8 [1,4,3,2,7,6,5] => 8 [1,4,3,5,2,6,7] => 20 [1,4,3,5,2,7,6] => 13 [1,4,3,5,6,2,7] => 19 [1,4,3,5,6,7,2] => 18 [1,4,3,5,7,2,6] => 12 [1,4,3,5,7,6,2] => 12 [1,4,3,6,2,5,7] => 14 [1,4,3,6,2,7,5] => 13 [1,4,3,6,5,2,7] => 14 [1,4,3,6,5,7,2] => 13 [1,4,3,6,7,2,5] => 12 [1,4,3,6,7,5,2] => 12 [1,4,3,7,2,5,6] => 7 [1,4,3,7,2,6,5] => 7 [1,4,3,7,5,2,6] => 7 [1,4,3,7,5,6,2] => 7 [1,4,3,7,6,2,5] => 7 [1,4,3,7,6,5,2] => 7 [1,4,5,2,3,6,7] => 19 [1,4,5,2,3,7,6] => 12 [1,4,5,2,6,3,7] => 18 [1,4,5,2,6,7,3] => 17 [1,4,5,2,7,3,6] => 11 [1,4,5,2,7,6,3] => 11 [1,4,5,3,2,6,7] => 19 [1,4,5,3,2,7,6] => 12 [1,4,5,3,6,2,7] => 18 [1,4,5,3,6,7,2] => 17 [1,4,5,3,7,2,6] => 11 [1,4,5,3,7,6,2] => 11 [1,4,5,6,2,3,7] => 17 [1,4,5,6,2,7,3] => 16 [1,4,5,6,3,2,7] => 17 [1,4,5,6,3,7,2] => 16 [1,4,5,6,7,2,3] => 15 [1,4,5,6,7,3,2] => 15 [1,4,5,7,2,3,6] => 10 [1,4,5,7,2,6,3] => 10 [1,4,5,7,3,2,6] => 10 [1,4,5,7,3,6,2] => 10 [1,4,5,7,6,2,3] => 10 [1,4,5,7,6,3,2] => 10 [1,4,6,2,3,5,7] => 13 [1,4,6,2,3,7,5] => 12 [1,4,6,2,5,3,7] => 13 [1,4,6,2,5,7,3] => 12 [1,4,6,2,7,3,5] => 11 [1,4,6,2,7,5,3] => 11 [1,4,6,3,2,5,7] => 13 [1,4,6,3,2,7,5] => 12 [1,4,6,3,5,2,7] => 13 [1,4,6,3,5,7,2] => 12 [1,4,6,3,7,2,5] => 11 [1,4,6,3,7,5,2] => 11 [1,4,6,5,2,3,7] => 13 [1,4,6,5,2,7,3] => 12 [1,4,6,5,3,2,7] => 13 [1,4,6,5,3,7,2] => 12 ----------------------------------------------------------------------------- Created: Apr 08, 2017 at 21:39 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: May 03, 2019 at 12:57 by Henning Ulfarsson