***************************************************************************** * 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: St001412 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: Number of minimal entries in the Bruhat order matrix of a permutation. Associate to a permutation $\sigma$ of length $n$ the $n \times n$ matrix with entries $$r_{ij}(\sigma) = \left| \big\{ u \in \{1,\dots,i\} \mid \sigma(u) \leq j \big\}\right|.$$ For the identity permutation, one has $r_{ij} = \min\{i,j\}$, and $\sigma \leq \tau$ in the (strong) Bruhat order if and only if $r_{ij}(\tau) \leq r_{ij}(\sigma)$ for all $i,j$. This statistic records the number of indices $i,j$ with $r_{ij} = \min\{i,j\}$. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def B(sigma): n = len(sigma) return Matrix([[sum(1 for u in [1 .. i] if sigma(u) <= j) for i in [1 .. n]] for j in [1 .. n]]) def statistic(sigma): n = len(sigma) M = B(sigma) return sum(1 for i in range(n) for j in range(n) if M[i,j] == min(i,j)) ----------------------------------------------------------------------------- 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] => 3 [3,1,2] => 3 [3,2,1] => 4 [1,2,3,4] => 0 [1,2,4,3] => 1 [1,3,2,4] => 1 [1,3,4,2] => 3 [1,4,2,3] => 3 [1,4,3,2] => 4 [2,1,3,4] => 1 [2,1,4,3] => 2 [2,3,1,4] => 3 [2,3,4,1] => 6 [2,4,1,3] => 5 [2,4,3,1] => 7 [3,1,2,4] => 3 [3,1,4,2] => 5 [3,2,1,4] => 4 [3,2,4,1] => 7 [3,4,1,2] => 6 [3,4,2,1] => 7 [4,1,2,3] => 6 [4,1,3,2] => 7 [4,2,1,3] => 7 [4,2,3,1] => 9 [4,3,1,2] => 7 [4,3,2,1] => 8 [1,2,3,4,5] => 0 [1,2,3,5,4] => 1 [1,2,4,3,5] => 1 [1,2,4,5,3] => 3 [1,2,5,3,4] => 3 [1,2,5,4,3] => 4 [1,3,2,4,5] => 1 [1,3,2,5,4] => 2 [1,3,4,2,5] => 3 [1,3,4,5,2] => 6 [1,3,5,2,4] => 5 [1,3,5,4,2] => 7 [1,4,2,3,5] => 3 [1,4,2,5,3] => 5 [1,4,3,2,5] => 4 [1,4,3,5,2] => 7 [1,4,5,2,3] => 6 [1,4,5,3,2] => 7 [1,5,2,3,4] => 6 [1,5,2,4,3] => 7 [1,5,3,2,4] => 7 [1,5,3,4,2] => 9 [1,5,4,2,3] => 7 [1,5,4,3,2] => 8 [2,1,3,4,5] => 1 [2,1,3,5,4] => 2 [2,1,4,3,5] => 2 [2,1,4,5,3] => 4 [2,1,5,3,4] => 4 [2,1,5,4,3] => 5 [2,3,1,4,5] => 3 [2,3,1,5,4] => 4 [2,3,4,1,5] => 6 [2,3,4,5,1] => 10 [2,3,5,1,4] => 8 [2,3,5,4,1] => 11 [2,4,1,3,5] => 5 [2,4,1,5,3] => 7 [2,4,3,1,5] => 7 [2,4,3,5,1] => 11 [2,4,5,1,3] => 9 [2,4,5,3,1] => 11 [2,5,1,3,4] => 8 [2,5,1,4,3] => 9 [2,5,3,1,4] => 10 [2,5,3,4,1] => 13 [2,5,4,1,3] => 10 [2,5,4,3,1] => 12 [3,1,2,4,5] => 3 [3,1,2,5,4] => 4 [3,1,4,2,5] => 5 [3,1,4,5,2] => 8 [3,1,5,2,4] => 7 [3,1,5,4,2] => 9 [3,2,1,4,5] => 4 [3,2,1,5,4] => 5 [3,2,4,1,5] => 7 [3,2,4,5,1] => 11 [3,2,5,1,4] => 9 [3,2,5,4,1] => 12 [3,4,1,2,5] => 6 [3,4,1,5,2] => 9 [3,4,2,1,5] => 7 [3,4,2,5,1] => 11 [3,4,5,1,2] => 9 [3,4,5,2,1] => 10 [3,5,1,2,4] => 9 [3,5,1,4,2] => 11 [3,5,2,1,4] => 10 [3,5,2,4,1] => 13 [3,5,4,1,2] => 10 [3,5,4,2,1] => 11 [4,1,2,3,5] => 6 [4,1,2,5,3] => 8 [4,1,3,2,5] => 7 [4,1,3,5,2] => 10 [4,1,5,2,3] => 9 [4,1,5,3,2] => 10 [4,2,1,3,5] => 7 [4,2,1,5,3] => 9 [4,2,3,1,5] => 9 [4,2,3,5,1] => 13 [4,2,5,1,3] => 11 [4,2,5,3,1] => 13 [4,3,1,2,5] => 7 [4,3,1,5,2] => 10 [4,3,2,1,5] => 8 [4,3,2,5,1] => 12 [4,3,5,1,2] => 10 [4,3,5,2,1] => 11 [4,5,1,2,3] => 9 [4,5,1,3,2] => 10 [4,5,2,1,3] => 10 [4,5,2,3,1] => 12 [4,5,3,1,2] => 10 [4,5,3,2,1] => 11 [5,1,2,3,4] => 10 [5,1,2,4,3] => 11 [5,1,3,2,4] => 11 [5,1,3,4,2] => 13 [5,1,4,2,3] => 11 [5,1,4,3,2] => 12 [5,2,1,3,4] => 11 [5,2,1,4,3] => 12 [5,2,3,1,4] => 13 [5,2,3,4,1] => 16 [5,2,4,1,3] => 13 [5,2,4,3,1] => 15 [5,3,1,2,4] => 11 [5,3,1,4,2] => 13 [5,3,2,1,4] => 12 [5,3,2,4,1] => 15 [5,3,4,1,2] => 12 [5,3,4,2,1] => 13 [5,4,1,2,3] => 10 [5,4,1,3,2] => 11 [5,4,2,1,3] => 11 [5,4,2,3,1] => 13 [5,4,3,1,2] => 11 [5,4,3,2,1] => 12 [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] => 3 [1,2,3,6,4,5] => 3 [1,2,3,6,5,4] => 4 [1,2,4,3,5,6] => 1 [1,2,4,3,6,5] => 2 [1,2,4,5,3,6] => 3 [1,2,4,5,6,3] => 6 [1,2,4,6,3,5] => 5 [1,2,4,6,5,3] => 7 [1,2,5,3,4,6] => 3 [1,2,5,3,6,4] => 5 [1,2,5,4,3,6] => 4 [1,2,5,4,6,3] => 7 [1,2,5,6,3,4] => 6 [1,2,5,6,4,3] => 7 [1,2,6,3,4,5] => 6 [1,2,6,3,5,4] => 7 [1,2,6,4,3,5] => 7 [1,2,6,4,5,3] => 9 [1,2,6,5,3,4] => 7 [1,2,6,5,4,3] => 8 [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] => 4 [1,3,2,6,4,5] => 4 [1,3,2,6,5,4] => 5 [1,3,4,2,5,6] => 3 [1,3,4,2,6,5] => 4 [1,3,4,5,2,6] => 6 [1,3,4,5,6,2] => 10 [1,3,4,6,2,5] => 8 [1,3,4,6,5,2] => 11 [1,3,5,2,4,6] => 5 [1,3,5,2,6,4] => 7 [1,3,5,4,2,6] => 7 [1,3,5,4,6,2] => 11 [1,3,5,6,2,4] => 9 [1,3,5,6,4,2] => 11 [1,3,6,2,4,5] => 8 [1,3,6,2,5,4] => 9 [1,3,6,4,2,5] => 10 [1,3,6,4,5,2] => 13 [1,3,6,5,2,4] => 10 [1,3,6,5,4,2] => 12 [1,4,2,3,5,6] => 3 [1,4,2,3,6,5] => 4 [1,4,2,5,3,6] => 5 [1,4,2,5,6,3] => 8 [1,4,2,6,3,5] => 7 [1,4,2,6,5,3] => 9 [1,4,3,2,5,6] => 4 [1,4,3,2,6,5] => 5 [1,4,3,5,2,6] => 7 [1,4,3,5,6,2] => 11 [1,4,3,6,2,5] => 9 [1,4,3,6,5,2] => 12 [1,4,5,2,3,6] => 6 [1,4,5,2,6,3] => 9 [1,4,5,3,2,6] => 7 [1,4,5,3,6,2] => 11 [1,4,5,6,2,3] => 9 [1,4,5,6,3,2] => 10 [1,4,6,2,3,5] => 9 [1,4,6,2,5,3] => 11 [1,4,6,3,2,5] => 10 [1,4,6,3,5,2] => 13 [1,4,6,5,2,3] => 10 [1,4,6,5,3,2] => 11 [1,5,2,3,4,6] => 6 [1,5,2,3,6,4] => 8 [1,5,2,4,3,6] => 7 [1,5,2,4,6,3] => 10 [1,5,2,6,3,4] => 9 [1,5,2,6,4,3] => 10 [1,5,3,2,4,6] => 7 [1,5,3,2,6,4] => 9 [1,5,3,4,2,6] => 9 [1,5,3,4,6,2] => 13 [1,5,3,6,2,4] => 11 [1,5,3,6,4,2] => 13 [1,5,4,2,3,6] => 7 [1,5,4,2,6,3] => 10 [1,5,4,3,2,6] => 8 [1,5,4,3,6,2] => 12 [1,5,4,6,2,3] => 10 [1,5,4,6,3,2] => 11 [1,5,6,2,3,4] => 9 [1,5,6,2,4,3] => 10 [1,5,6,3,2,4] => 10 [1,5,6,3,4,2] => 12 [1,5,6,4,2,3] => 10 [1,5,6,4,3,2] => 11 [1,6,2,3,4,5] => 10 [1,6,2,3,5,4] => 11 [1,6,2,4,3,5] => 11 [1,6,2,4,5,3] => 13 [1,6,2,5,3,4] => 11 [1,6,2,5,4,3] => 12 [1,6,3,2,4,5] => 11 [1,6,3,2,5,4] => 12 [1,6,3,4,2,5] => 13 [1,6,3,4,5,2] => 16 [1,6,3,5,2,4] => 13 [1,6,3,5,4,2] => 15 [1,6,4,2,3,5] => 11 [1,6,4,2,5,3] => 13 [1,6,4,3,2,5] => 12 [1,6,4,3,5,2] => 15 [1,6,4,5,2,3] => 12 [1,6,4,5,3,2] => 13 [1,6,5,2,3,4] => 10 [1,6,5,2,4,3] => 11 [1,6,5,3,2,4] => 11 [1,6,5,3,4,2] => 13 [1,6,5,4,2,3] => 11 [1,6,5,4,3,2] => 12 [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] => 4 [2,1,3,6,4,5] => 4 [2,1,3,6,5,4] => 5 [2,1,4,3,5,6] => 2 [2,1,4,3,6,5] => 3 [2,1,4,5,3,6] => 4 [2,1,4,5,6,3] => 7 [2,1,4,6,3,5] => 6 [2,1,4,6,5,3] => 8 [2,1,5,3,4,6] => 4 [2,1,5,3,6,4] => 6 [2,1,5,4,3,6] => 5 [2,1,5,4,6,3] => 8 [2,1,5,6,3,4] => 7 [2,1,5,6,4,3] => 8 [2,1,6,3,4,5] => 7 [2,1,6,3,5,4] => 8 [2,1,6,4,3,5] => 8 [2,1,6,4,5,3] => 10 [2,1,6,5,3,4] => 8 [2,1,6,5,4,3] => 9 [2,3,1,4,5,6] => 3 [2,3,1,4,6,5] => 4 [2,3,1,5,4,6] => 4 [2,3,1,5,6,4] => 6 [2,3,1,6,4,5] => 6 [2,3,1,6,5,4] => 7 [2,3,4,1,5,6] => 6 [2,3,4,1,6,5] => 7 [2,3,4,5,1,6] => 10 [2,3,4,5,6,1] => 15 [2,3,4,6,1,5] => 12 [2,3,4,6,5,1] => 16 [2,3,5,1,4,6] => 8 [2,3,5,1,6,4] => 10 [2,3,5,4,1,6] => 11 [2,3,5,4,6,1] => 16 [2,3,5,6,1,4] => 13 [2,3,5,6,4,1] => 16 [2,3,6,1,4,5] => 11 [2,3,6,1,5,4] => 12 [2,3,6,4,1,5] => 14 [2,3,6,4,5,1] => 18 [2,3,6,5,1,4] => 14 [2,3,6,5,4,1] => 17 [2,4,1,3,5,6] => 5 [2,4,1,3,6,5] => 6 [2,4,1,5,3,6] => 7 [2,4,1,5,6,3] => 10 [2,4,1,6,3,5] => 9 [2,4,1,6,5,3] => 11 [2,4,3,1,5,6] => 7 [2,4,3,1,6,5] => 8 [2,4,3,5,1,6] => 11 [2,4,3,5,6,1] => 16 [2,4,3,6,1,5] => 13 [2,4,3,6,5,1] => 17 [2,4,5,1,3,6] => 9 [2,4,5,1,6,3] => 12 [2,4,5,3,1,6] => 11 [2,4,5,3,6,1] => 16 [2,4,5,6,1,3] => 13 [2,4,5,6,3,1] => 15 [2,4,6,1,3,5] => 12 [2,4,6,1,5,3] => 14 [2,4,6,3,1,5] => 14 [2,4,6,3,5,1] => 18 [2,4,6,5,1,3] => 14 [2,4,6,5,3,1] => 16 [2,5,1,3,4,6] => 8 [2,5,1,3,6,4] => 10 [2,5,1,4,3,6] => 9 [2,5,1,4,6,3] => 12 [2,5,1,6,3,4] => 11 [2,5,1,6,4,3] => 12 [2,5,3,1,4,6] => 10 [2,5,3,1,6,4] => 12 [2,5,3,4,1,6] => 13 [2,5,3,4,6,1] => 18 [2,5,3,6,1,4] => 15 [2,5,3,6,4,1] => 18 [2,5,4,1,3,6] => 10 [2,5,4,1,6,3] => 13 [2,5,4,3,1,6] => 12 [2,5,4,3,6,1] => 17 [2,5,4,6,1,3] => 14 [2,5,4,6,3,1] => 16 [2,5,6,1,3,4] => 12 [2,5,6,1,4,3] => 13 [2,5,6,3,1,4] => 14 [2,5,6,3,4,1] => 17 [2,5,6,4,1,3] => 14 [2,5,6,4,3,1] => 16 [2,6,1,3,4,5] => 12 [2,6,1,3,5,4] => 13 [2,6,1,4,3,5] => 13 [2,6,1,4,5,3] => 15 [2,6,1,5,3,4] => 13 [2,6,1,5,4,3] => 14 [2,6,3,1,4,5] => 14 [2,6,3,1,5,4] => 15 [2,6,3,4,1,5] => 17 [2,6,3,4,5,1] => 21 [2,6,3,5,1,4] => 17 [2,6,3,5,4,1] => 20 [2,6,4,1,3,5] => 14 [2,6,4,1,5,3] => 16 [2,6,4,3,1,5] => 16 [2,6,4,3,5,1] => 20 [2,6,4,5,1,3] => 16 [2,6,4,5,3,1] => 18 [2,6,5,1,3,4] => 13 [2,6,5,1,4,3] => 14 [2,6,5,3,1,4] => 15 [2,6,5,3,4,1] => 18 [2,6,5,4,1,3] => 15 [2,6,5,4,3,1] => 17 [3,1,2,4,5,6] => 3 [3,1,2,4,6,5] => 4 [3,1,2,5,4,6] => 4 [3,1,2,5,6,4] => 6 [3,1,2,6,4,5] => 6 [3,1,2,6,5,4] => 7 [3,1,4,2,5,6] => 5 [3,1,4,2,6,5] => 6 [3,1,4,5,2,6] => 8 [3,1,4,5,6,2] => 12 [3,1,4,6,2,5] => 10 [3,1,4,6,5,2] => 13 [3,1,5,2,4,6] => 7 [3,1,5,2,6,4] => 9 [3,1,5,4,2,6] => 9 [3,1,5,4,6,2] => 13 [3,1,5,6,2,4] => 11 [3,1,5,6,4,2] => 13 [3,1,6,2,4,5] => 10 [3,1,6,2,5,4] => 11 [3,1,6,4,2,5] => 12 [3,1,6,4,5,2] => 15 [3,1,6,5,2,4] => 12 [3,1,6,5,4,2] => 14 [3,2,1,4,5,6] => 4 [3,2,1,4,6,5] => 5 [3,2,1,5,4,6] => 5 [3,2,1,5,6,4] => 7 [3,2,1,6,4,5] => 7 [3,2,1,6,5,4] => 8 [3,2,4,1,5,6] => 7 [3,2,4,1,6,5] => 8 [3,2,4,5,1,6] => 11 [3,2,4,5,6,1] => 16 [3,2,4,6,1,5] => 13 [3,2,4,6,5,1] => 17 [3,2,5,1,4,6] => 9 [3,2,5,1,6,4] => 11 [3,2,5,4,1,6] => 12 [3,2,5,4,6,1] => 17 [3,2,5,6,1,4] => 14 [3,2,5,6,4,1] => 17 [3,2,6,1,4,5] => 12 [3,2,6,1,5,4] => 13 [3,2,6,4,1,5] => 15 [3,2,6,4,5,1] => 19 [3,2,6,5,1,4] => 15 [3,2,6,5,4,1] => 18 [3,4,1,2,5,6] => 6 [3,4,1,2,6,5] => 7 [3,4,1,5,2,6] => 9 [3,4,1,5,6,2] => 13 [3,4,1,6,2,5] => 11 [3,4,1,6,5,2] => 14 [3,4,2,1,5,6] => 7 [3,4,2,1,6,5] => 8 [3,4,2,5,1,6] => 11 [3,4,2,5,6,1] => 16 [3,4,2,6,1,5] => 13 [3,4,2,6,5,1] => 17 [3,4,5,1,2,6] => 9 [3,4,5,1,6,2] => 13 [3,4,5,2,1,6] => 10 [3,4,5,2,6,1] => 15 [3,4,5,6,1,2] => 12 [3,4,5,6,2,1] => 13 [3,4,6,1,2,5] => 12 [3,4,6,1,5,2] => 15 [3,4,6,2,1,5] => 13 [3,4,6,2,5,1] => 17 [3,4,6,5,1,2] => 13 [3,4,6,5,2,1] => 14 [3,5,1,2,4,6] => 9 [3,5,1,2,6,4] => 11 [3,5,1,4,2,6] => 11 [3,5,1,4,6,2] => 15 [3,5,1,6,2,4] => 13 [3,5,1,6,4,2] => 15 [3,5,2,1,4,6] => 10 [3,5,2,1,6,4] => 12 [3,5,2,4,1,6] => 13 [3,5,2,4,6,1] => 18 [3,5,2,6,1,4] => 15 [3,5,2,6,4,1] => 18 [3,5,4,1,2,6] => 10 [3,5,4,1,6,2] => 14 [3,5,4,2,1,6] => 11 [3,5,4,2,6,1] => 16 [3,5,4,6,1,2] => 13 [3,5,4,6,2,1] => 14 [3,5,6,1,2,4] => 12 [3,5,6,1,4,2] => 14 [3,5,6,2,1,4] => 13 [3,5,6,2,4,1] => 16 [3,5,6,4,1,2] => 13 [3,5,6,4,2,1] => 14 [3,6,1,2,4,5] => 13 [3,6,1,2,5,4] => 14 [3,6,1,4,2,5] => 15 [3,6,1,4,5,2] => 18 [3,6,1,5,2,4] => 15 [3,6,1,5,4,2] => 17 [3,6,2,1,4,5] => 14 [3,6,2,1,5,4] => 15 [3,6,2,4,1,5] => 17 [3,6,2,4,5,1] => 21 [3,6,2,5,1,4] => 17 [3,6,2,5,4,1] => 20 [3,6,4,1,2,5] => 14 [3,6,4,1,5,2] => 17 [3,6,4,2,1,5] => 15 [3,6,4,2,5,1] => 19 [3,6,4,5,1,2] => 15 [3,6,4,5,2,1] => 16 [3,6,5,1,2,4] => 13 [3,6,5,1,4,2] => 15 [3,6,5,2,1,4] => 14 [3,6,5,2,4,1] => 17 [3,6,5,4,1,2] => 14 [3,6,5,4,2,1] => 15 [4,1,2,3,5,6] => 6 [4,1,2,3,6,5] => 7 [4,1,2,5,3,6] => 8 [4,1,2,5,6,3] => 11 [4,1,2,6,3,5] => 10 [4,1,2,6,5,3] => 12 [4,1,3,2,5,6] => 7 [4,1,3,2,6,5] => 8 [4,1,3,5,2,6] => 10 [4,1,3,5,6,2] => 14 [4,1,3,6,2,5] => 12 [4,1,3,6,5,2] => 15 [4,1,5,2,3,6] => 9 [4,1,5,2,6,3] => 12 [4,1,5,3,2,6] => 10 [4,1,5,3,6,2] => 14 [4,1,5,6,2,3] => 12 [4,1,5,6,3,2] => 13 [4,1,6,2,3,5] => 12 [4,1,6,2,5,3] => 14 [4,1,6,3,2,5] => 13 [4,1,6,3,5,2] => 16 [4,1,6,5,2,3] => 13 [4,1,6,5,3,2] => 14 [4,2,1,3,5,6] => 7 [4,2,1,3,6,5] => 8 [4,2,1,5,3,6] => 9 [4,2,1,5,6,3] => 12 [4,2,1,6,3,5] => 11 [4,2,1,6,5,3] => 13 [4,2,3,1,5,6] => 9 [4,2,3,1,6,5] => 10 [4,2,3,5,1,6] => 13 [4,2,3,5,6,1] => 18 [4,2,3,6,1,5] => 15 [4,2,3,6,5,1] => 19 [4,2,5,1,3,6] => 11 [4,2,5,1,6,3] => 14 [4,2,5,3,1,6] => 13 [4,2,5,3,6,1] => 18 [4,2,5,6,1,3] => 15 [4,2,5,6,3,1] => 17 [4,2,6,1,3,5] => 14 [4,2,6,1,5,3] => 16 [4,2,6,3,1,5] => 16 [4,2,6,3,5,1] => 20 [4,2,6,5,1,3] => 16 [4,2,6,5,3,1] => 18 [4,3,1,2,5,6] => 7 [4,3,1,2,6,5] => 8 [4,3,1,5,2,6] => 10 [4,3,1,5,6,2] => 14 [4,3,1,6,2,5] => 12 [4,3,1,6,5,2] => 15 [4,3,2,1,5,6] => 8 [4,3,2,1,6,5] => 9 [4,3,2,5,1,6] => 12 [4,3,2,5,6,1] => 17 [4,3,2,6,1,5] => 14 [4,3,2,6,5,1] => 18 [4,3,5,1,2,6] => 10 [4,3,5,1,6,2] => 14 [4,3,5,2,1,6] => 11 [4,3,5,2,6,1] => 16 [4,3,5,6,1,2] => 13 [4,3,5,6,2,1] => 14 [4,3,6,1,2,5] => 13 [4,3,6,1,5,2] => 16 [4,3,6,2,1,5] => 14 [4,3,6,2,5,1] => 18 [4,3,6,5,1,2] => 14 [4,3,6,5,2,1] => 15 [4,5,1,2,3,6] => 9 [4,5,1,2,6,3] => 12 [4,5,1,3,2,6] => 10 [4,5,1,3,6,2] => 14 [4,5,1,6,2,3] => 12 [4,5,1,6,3,2] => 13 [4,5,2,1,3,6] => 10 [4,5,2,1,6,3] => 13 [4,5,2,3,1,6] => 12 [4,5,2,3,6,1] => 17 [4,5,2,6,1,3] => 14 [4,5,2,6,3,1] => 16 [4,5,3,1,2,6] => 10 [4,5,3,1,6,2] => 14 [4,5,3,2,1,6] => 11 [4,5,3,2,6,1] => 16 [4,5,3,6,1,2] => 13 [4,5,3,6,2,1] => 14 [4,5,6,1,2,3] => 12 [4,5,6,1,3,2] => 13 [4,5,6,2,1,3] => 13 [4,5,6,2,3,1] => 15 [4,5,6,3,1,2] => 13 [4,5,6,3,2,1] => 14 [4,6,1,2,3,5] => 13 [4,6,1,2,5,3] => 15 [4,6,1,3,2,5] => 14 [4,6,1,3,5,2] => 17 [4,6,1,5,2,3] => 14 [4,6,1,5,3,2] => 15 [4,6,2,1,3,5] => 14 [4,6,2,1,5,3] => 16 [4,6,2,3,1,5] => 16 [4,6,2,3,5,1] => 20 [4,6,2,5,1,3] => 16 [4,6,2,5,3,1] => 18 [4,6,3,1,2,5] => 14 [4,6,3,1,5,2] => 17 [4,6,3,2,1,5] => 15 [4,6,3,2,5,1] => 19 [4,6,3,5,1,2] => 15 [4,6,3,5,2,1] => 16 [4,6,5,1,2,3] => 13 [4,6,5,1,3,2] => 14 [4,6,5,2,1,3] => 14 [4,6,5,2,3,1] => 16 [4,6,5,3,1,2] => 14 [4,6,5,3,2,1] => 15 [5,1,2,3,4,6] => 10 [5,1,2,3,6,4] => 12 [5,1,2,4,3,6] => 11 [5,1,2,4,6,3] => 14 [5,1,2,6,3,4] => 13 [5,1,2,6,4,3] => 14 [5,1,3,2,4,6] => 11 [5,1,3,2,6,4] => 13 [5,1,3,4,2,6] => 13 [5,1,3,4,6,2] => 17 [5,1,3,6,2,4] => 15 [5,1,3,6,4,2] => 17 [5,1,4,2,3,6] => 11 [5,1,4,2,6,3] => 14 [5,1,4,3,2,6] => 12 [5,1,4,3,6,2] => 16 [5,1,4,6,2,3] => 14 [5,1,4,6,3,2] => 15 [5,1,6,2,3,4] => 13 [5,1,6,2,4,3] => 14 [5,1,6,3,2,4] => 14 [5,1,6,3,4,2] => 16 [5,1,6,4,2,3] => 14 [5,1,6,4,3,2] => 15 [5,2,1,3,4,6] => 11 [5,2,1,3,6,4] => 13 [5,2,1,4,3,6] => 12 [5,2,1,4,6,3] => 15 [5,2,1,6,3,4] => 14 [5,2,1,6,4,3] => 15 [5,2,3,1,4,6] => 13 [5,2,3,1,6,4] => 15 [5,2,3,4,1,6] => 16 [5,2,3,4,6,1] => 21 [5,2,3,6,1,4] => 18 [5,2,3,6,4,1] => 21 [5,2,4,1,3,6] => 13 [5,2,4,1,6,3] => 16 [5,2,4,3,1,6] => 15 [5,2,4,3,6,1] => 20 [5,2,4,6,1,3] => 17 [5,2,4,6,3,1] => 19 [5,2,6,1,3,4] => 15 [5,2,6,1,4,3] => 16 [5,2,6,3,1,4] => 17 [5,2,6,3,4,1] => 20 [5,2,6,4,1,3] => 17 [5,2,6,4,3,1] => 19 [5,3,1,2,4,6] => 11 [5,3,1,2,6,4] => 13 [5,3,1,4,2,6] => 13 [5,3,1,4,6,2] => 17 [5,3,1,6,2,4] => 15 [5,3,1,6,4,2] => 17 [5,3,2,1,4,6] => 12 [5,3,2,1,6,4] => 14 [5,3,2,4,1,6] => 15 [5,3,2,4,6,1] => 20 [5,3,2,6,1,4] => 17 [5,3,2,6,4,1] => 20 [5,3,4,1,2,6] => 12 [5,3,4,1,6,2] => 16 [5,3,4,2,1,6] => 13 [5,3,4,2,6,1] => 18 [5,3,4,6,1,2] => 15 [5,3,4,6,2,1] => 16 [5,3,6,1,2,4] => 14 [5,3,6,1,4,2] => 16 [5,3,6,2,1,4] => 15 [5,3,6,2,4,1] => 18 [5,3,6,4,1,2] => 15 [5,3,6,4,2,1] => 16 [5,4,1,2,3,6] => 10 [5,4,1,2,6,3] => 13 [5,4,1,3,2,6] => 11 [5,4,1,3,6,2] => 15 [5,4,1,6,2,3] => 13 [5,4,1,6,3,2] => 14 [5,4,2,1,3,6] => 11 [5,4,2,1,6,3] => 14 [5,4,2,3,1,6] => 13 [5,4,2,3,6,1] => 18 [5,4,2,6,1,3] => 15 [5,4,2,6,3,1] => 17 [5,4,3,1,2,6] => 11 [5,4,3,1,6,2] => 15 [5,4,3,2,1,6] => 12 [5,4,3,2,6,1] => 17 [5,4,3,6,1,2] => 14 [5,4,3,6,2,1] => 15 [5,4,6,1,2,3] => 13 [5,4,6,1,3,2] => 14 [5,4,6,2,1,3] => 14 [5,4,6,2,3,1] => 16 [5,4,6,3,1,2] => 14 [5,4,6,3,2,1] => 15 [5,6,1,2,3,4] => 12 [5,6,1,2,4,3] => 13 [5,6,1,3,2,4] => 13 [5,6,1,3,4,2] => 15 [5,6,1,4,2,3] => 13 [5,6,1,4,3,2] => 14 [5,6,2,1,3,4] => 13 [5,6,2,1,4,3] => 14 [5,6,2,3,1,4] => 15 [5,6,2,3,4,1] => 18 [5,6,2,4,1,3] => 15 [5,6,2,4,3,1] => 17 [5,6,3,1,2,4] => 13 [5,6,3,1,4,2] => 15 [5,6,3,2,1,4] => 14 [5,6,3,2,4,1] => 17 [5,6,3,4,1,2] => 14 [5,6,3,4,2,1] => 15 [5,6,4,1,2,3] => 13 [5,6,4,1,3,2] => 14 [5,6,4,2,1,3] => 14 [5,6,4,2,3,1] => 16 [5,6,4,3,1,2] => 14 [5,6,4,3,2,1] => 15 [6,1,2,3,4,5] => 15 [6,1,2,3,5,4] => 16 [6,1,2,4,3,5] => 16 [6,1,2,4,5,3] => 18 [6,1,2,5,3,4] => 16 [6,1,2,5,4,3] => 17 [6,1,3,2,4,5] => 16 [6,1,3,2,5,4] => 17 [6,1,3,4,2,5] => 18 [6,1,3,4,5,2] => 21 [6,1,3,5,2,4] => 18 [6,1,3,5,4,2] => 20 [6,1,4,2,3,5] => 16 [6,1,4,2,5,3] => 18 [6,1,4,3,2,5] => 17 [6,1,4,3,5,2] => 20 [6,1,4,5,2,3] => 17 [6,1,4,5,3,2] => 18 [6,1,5,2,3,4] => 15 [6,1,5,2,4,3] => 16 [6,1,5,3,2,4] => 16 [6,1,5,3,4,2] => 18 [6,1,5,4,2,3] => 16 [6,1,5,4,3,2] => 17 [6,2,1,3,4,5] => 16 [6,2,1,3,5,4] => 17 [6,2,1,4,3,5] => 17 [6,2,1,4,5,3] => 19 [6,2,1,5,3,4] => 17 [6,2,1,5,4,3] => 18 [6,2,3,1,4,5] => 18 [6,2,3,1,5,4] => 19 [6,2,3,4,1,5] => 21 [6,2,3,4,5,1] => 25 [6,2,3,5,1,4] => 21 [6,2,3,5,4,1] => 24 [6,2,4,1,3,5] => 18 [6,2,4,1,5,3] => 20 [6,2,4,3,1,5] => 20 [6,2,4,3,5,1] => 24 [6,2,4,5,1,3] => 20 [6,2,4,5,3,1] => 22 [6,2,5,1,3,4] => 17 [6,2,5,1,4,3] => 18 [6,2,5,3,1,4] => 19 [6,2,5,3,4,1] => 22 [6,2,5,4,1,3] => 19 [6,2,5,4,3,1] => 21 [6,3,1,2,4,5] => 16 [6,3,1,2,5,4] => 17 [6,3,1,4,2,5] => 18 [6,3,1,4,5,2] => 21 [6,3,1,5,2,4] => 18 [6,3,1,5,4,2] => 20 [6,3,2,1,4,5] => 17 [6,3,2,1,5,4] => 18 [6,3,2,4,1,5] => 20 [6,3,2,4,5,1] => 24 [6,3,2,5,1,4] => 20 [6,3,2,5,4,1] => 23 [6,3,4,1,2,5] => 17 [6,3,4,1,5,2] => 20 [6,3,4,2,1,5] => 18 [6,3,4,2,5,1] => 22 [6,3,4,5,1,2] => 18 [6,3,4,5,2,1] => 19 [6,3,5,1,2,4] => 16 [6,3,5,1,4,2] => 18 [6,3,5,2,1,4] => 17 [6,3,5,2,4,1] => 20 [6,3,5,4,1,2] => 17 [6,3,5,4,2,1] => 18 [6,4,1,2,3,5] => 15 [6,4,1,2,5,3] => 17 [6,4,1,3,2,5] => 16 [6,4,1,3,5,2] => 19 [6,4,1,5,2,3] => 16 [6,4,1,5,3,2] => 17 [6,4,2,1,3,5] => 16 [6,4,2,1,5,3] => 18 [6,4,2,3,1,5] => 18 [6,4,2,3,5,1] => 22 [6,4,2,5,1,3] => 18 [6,4,2,5,3,1] => 20 [6,4,3,1,2,5] => 16 [6,4,3,1,5,2] => 19 [6,4,3,2,1,5] => 17 [6,4,3,2,5,1] => 21 [6,4,3,5,1,2] => 17 [6,4,3,5,2,1] => 18 [6,4,5,1,2,3] => 15 [6,4,5,1,3,2] => 16 [6,4,5,2,1,3] => 16 [6,4,5,2,3,1] => 18 [6,4,5,3,1,2] => 16 [6,4,5,3,2,1] => 17 [6,5,1,2,3,4] => 13 [6,5,1,2,4,3] => 14 [6,5,1,3,2,4] => 14 [6,5,1,3,4,2] => 16 [6,5,1,4,2,3] => 14 [6,5,1,4,3,2] => 15 [6,5,2,1,3,4] => 14 [6,5,2,1,4,3] => 15 [6,5,2,3,1,4] => 16 [6,5,2,3,4,1] => 19 [6,5,2,4,1,3] => 16 [6,5,2,4,3,1] => 18 [6,5,3,1,2,4] => 14 [6,5,3,1,4,2] => 16 [6,5,3,2,1,4] => 15 [6,5,3,2,4,1] => 18 [6,5,3,4,1,2] => 15 [6,5,3,4,2,1] => 16 [6,5,4,1,2,3] => 14 [6,5,4,1,3,2] => 15 [6,5,4,2,1,3] => 15 [6,5,4,2,3,1] => 17 [6,5,4,3,1,2] => 15 [6,5,4,3,2,1] => 16 [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] => 3 [1,2,3,4,7,5,6] => 3 [1,2,3,4,7,6,5] => 4 [1,2,3,5,4,6,7] => 1 [1,2,3,5,4,7,6] => 2 [1,2,3,5,6,4,7] => 3 [1,2,3,5,6,7,4] => 6 [1,2,3,5,7,4,6] => 5 [1,2,3,5,7,6,4] => 7 [1,2,3,6,4,5,7] => 3 [1,2,3,6,4,7,5] => 5 [1,2,3,6,5,4,7] => 4 [1,2,3,6,5,7,4] => 7 [1,2,3,6,7,4,5] => 6 [1,2,3,6,7,5,4] => 7 [1,2,3,7,4,5,6] => 6 [1,2,3,7,4,6,5] => 7 [1,2,3,7,5,4,6] => 7 [1,2,3,7,5,6,4] => 9 [1,2,3,7,6,4,5] => 7 [1,2,3,7,6,5,4] => 8 [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] => 4 [1,2,4,3,7,5,6] => 4 [1,2,4,3,7,6,5] => 5 [1,2,4,5,3,6,7] => 3 [1,2,4,5,3,7,6] => 4 [1,2,4,5,6,3,7] => 6 [1,2,4,5,6,7,3] => 10 [1,2,4,5,7,3,6] => 8 [1,2,4,5,7,6,3] => 11 [1,2,4,6,3,5,7] => 5 [1,2,4,6,3,7,5] => 7 [1,2,4,6,5,3,7] => 7 [1,2,4,6,5,7,3] => 11 [1,2,4,6,7,3,5] => 9 [1,2,4,6,7,5,3] => 11 [1,2,4,7,3,5,6] => 8 [1,2,4,7,3,6,5] => 9 [1,2,4,7,5,3,6] => 10 [1,2,4,7,5,6,3] => 13 [1,2,4,7,6,3,5] => 10 [1,2,4,7,6,5,3] => 12 [1,2,5,3,4,6,7] => 3 [1,2,5,3,4,7,6] => 4 [1,2,5,3,6,4,7] => 5 [1,2,5,3,6,7,4] => 8 [1,2,5,3,7,4,6] => 7 [1,2,5,3,7,6,4] => 9 [1,2,5,4,3,6,7] => 4 [1,2,5,4,3,7,6] => 5 [1,2,5,4,6,3,7] => 7 [1,2,5,4,6,7,3] => 11 [1,2,5,4,7,3,6] => 9 [1,2,5,4,7,6,3] => 12 [1,2,5,6,3,4,7] => 6 [1,2,5,6,3,7,4] => 9 [1,2,5,6,4,3,7] => 7 [1,2,5,6,4,7,3] => 11 [1,2,5,6,7,3,4] => 9 [1,2,5,6,7,4,3] => 10 [1,2,5,7,3,4,6] => 9 [1,2,5,7,3,6,4] => 11 [1,2,5,7,4,3,6] => 10 [1,2,5,7,4,6,3] => 13 [1,2,5,7,6,3,4] => 10 [1,2,5,7,6,4,3] => 11 [1,2,6,3,4,5,7] => 6 [1,2,6,3,4,7,5] => 8 [1,2,6,3,5,4,7] => 7 [1,2,6,3,5,7,4] => 10 [1,2,6,3,7,4,5] => 9 [1,2,6,3,7,5,4] => 10 [1,2,6,4,3,5,7] => 7 [1,2,6,4,3,7,5] => 9 [1,2,6,4,5,3,7] => 9 [1,2,6,4,5,7,3] => 13 [1,2,6,4,7,3,5] => 11 [1,2,6,4,7,5,3] => 13 [1,2,6,5,3,4,7] => 7 [1,2,6,5,3,7,4] => 10 [1,2,6,5,4,3,7] => 8 [1,2,6,5,4,7,3] => 12 [1,2,6,5,7,3,4] => 10 [1,2,6,5,7,4,3] => 11 [1,2,6,7,3,4,5] => 9 [1,2,6,7,3,5,4] => 10 [1,2,6,7,4,3,5] => 10 [1,2,6,7,4,5,3] => 12 [1,2,6,7,5,3,4] => 10 [1,2,6,7,5,4,3] => 11 [1,2,7,3,4,5,6] => 10 [1,2,7,3,4,6,5] => 11 [1,2,7,3,5,4,6] => 11 [1,2,7,3,5,6,4] => 13 [1,2,7,3,6,4,5] => 11 [1,2,7,3,6,5,4] => 12 [1,2,7,4,3,5,6] => 11 [1,2,7,4,3,6,5] => 12 [1,2,7,4,5,3,6] => 13 [1,2,7,4,5,6,3] => 16 [1,2,7,4,6,3,5] => 13 [1,2,7,4,6,5,3] => 15 [1,2,7,5,3,4,6] => 11 [1,2,7,5,3,6,4] => 13 [1,2,7,5,4,3,6] => 12 [1,2,7,5,4,6,3] => 15 [1,2,7,5,6,3,4] => 12 [1,2,7,5,6,4,3] => 13 [1,2,7,6,3,4,5] => 10 [1,2,7,6,3,5,4] => 11 [1,2,7,6,4,3,5] => 11 [1,2,7,6,4,5,3] => 13 [1,2,7,6,5,3,4] => 11 [1,2,7,6,5,4,3] => 12 [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] => 4 [1,3,2,4,7,5,6] => 4 [1,3,2,4,7,6,5] => 5 [1,3,2,5,4,6,7] => 2 [1,3,2,5,4,7,6] => 3 [1,3,2,5,6,4,7] => 4 [1,3,2,5,6,7,4] => 7 [1,3,2,5,7,4,6] => 6 [1,3,2,5,7,6,4] => 8 [1,3,2,6,4,5,7] => 4 [1,3,2,6,4,7,5] => 6 [1,3,2,6,5,4,7] => 5 [1,3,2,6,5,7,4] => 8 [1,3,2,6,7,4,5] => 7 [1,3,2,6,7,5,4] => 8 [1,3,2,7,4,5,6] => 7 [1,3,2,7,4,6,5] => 8 [1,3,2,7,5,4,6] => 8 [1,3,2,7,5,6,4] => 10 [1,3,2,7,6,4,5] => 8 [1,3,2,7,6,5,4] => 9 [1,3,4,2,5,6,7] => 3 [1,3,4,2,5,7,6] => 4 [1,3,4,2,6,5,7] => 4 [1,3,4,2,6,7,5] => 6 [1,3,4,2,7,5,6] => 6 [1,3,4,2,7,6,5] => 7 [1,3,4,5,2,6,7] => 6 [1,3,4,5,2,7,6] => 7 [1,3,4,5,6,2,7] => 10 [1,3,4,5,6,7,2] => 15 [1,3,4,5,7,2,6] => 12 [1,3,4,5,7,6,2] => 16 [1,3,4,6,2,5,7] => 8 [1,3,4,6,2,7,5] => 10 [1,3,4,6,5,2,7] => 11 [1,3,4,6,5,7,2] => 16 [1,3,4,6,7,2,5] => 13 [1,3,4,6,7,5,2] => 16 [1,3,4,7,2,5,6] => 11 [1,3,4,7,2,6,5] => 12 [1,3,4,7,5,2,6] => 14 [1,3,4,7,5,6,2] => 18 [1,3,4,7,6,2,5] => 14 [1,3,4,7,6,5,2] => 17 [1,3,5,2,4,6,7] => 5 [1,3,5,2,4,7,6] => 6 [1,3,5,2,6,4,7] => 7 [1,3,5,2,6,7,4] => 10 [1,3,5,2,7,4,6] => 9 [1,3,5,2,7,6,4] => 11 [1,3,5,4,2,6,7] => 7 [1,3,5,4,2,7,6] => 8 [1,3,5,4,6,2,7] => 11 [1,3,5,4,6,7,2] => 16 [1,3,5,4,7,2,6] => 13 [1,3,5,4,7,6,2] => 17 [1,3,5,6,2,4,7] => 9 [1,3,5,6,2,7,4] => 12 [1,3,5,6,4,2,7] => 11 [1,3,5,6,4,7,2] => 16 [1,3,5,6,7,2,4] => 13 [1,3,5,6,7,4,2] => 15 [1,3,5,7,2,4,6] => 12 [1,3,5,7,2,6,4] => 14 [1,3,5,7,4,2,6] => 14 [1,3,5,7,4,6,2] => 18 [1,3,5,7,6,2,4] => 14 [1,3,5,7,6,4,2] => 16 [1,3,6,2,4,5,7] => 8 [1,3,6,2,4,7,5] => 10 [1,3,6,2,5,4,7] => 9 [1,3,6,2,5,7,4] => 12 [1,3,6,2,7,4,5] => 11 [1,3,6,2,7,5,4] => 12 [1,3,6,4,2,5,7] => 10 [1,3,6,4,2,7,5] => 12 [1,3,6,4,5,2,7] => 13 [1,3,6,4,5,7,2] => 18 [1,3,6,4,7,2,5] => 15 [1,3,6,4,7,5,2] => 18 [1,3,6,5,2,4,7] => 10 [1,3,6,5,2,7,4] => 13 [1,3,6,5,4,2,7] => 12 [1,3,6,5,4,7,2] => 17 [1,3,6,5,7,2,4] => 14 [1,3,6,5,7,4,2] => 16 [1,3,6,7,2,4,5] => 12 [1,3,6,7,2,5,4] => 13 [1,3,6,7,4,2,5] => 14 [1,3,6,7,4,5,2] => 17 [1,3,6,7,5,2,4] => 14 [1,3,6,7,5,4,2] => 16 [1,3,7,2,4,5,6] => 12 [1,3,7,2,4,6,5] => 13 [1,3,7,2,5,4,6] => 13 [1,3,7,2,5,6,4] => 15 [1,3,7,2,6,4,5] => 13 [1,3,7,2,6,5,4] => 14 [1,3,7,4,2,5,6] => 14 [1,3,7,4,2,6,5] => 15 [1,3,7,4,5,2,6] => 17 [1,3,7,4,5,6,2] => 21 [1,3,7,4,6,2,5] => 17 [1,3,7,4,6,5,2] => 20 [1,3,7,5,2,4,6] => 14 [1,3,7,5,2,6,4] => 16 [1,3,7,5,4,2,6] => 16 [1,3,7,5,4,6,2] => 20 [1,3,7,5,6,2,4] => 16 [1,3,7,5,6,4,2] => 18 [1,3,7,6,2,4,5] => 13 [1,3,7,6,2,5,4] => 14 [1,3,7,6,4,2,5] => 15 [1,3,7,6,4,5,2] => 18 [1,3,7,6,5,2,4] => 15 [1,3,7,6,5,4,2] => 17 [1,4,2,3,5,6,7] => 3 [1,4,2,3,5,7,6] => 4 [1,4,2,3,6,5,7] => 4 [1,4,2,3,6,7,5] => 6 [1,4,2,3,7,5,6] => 6 [1,4,2,3,7,6,5] => 7 [1,4,2,5,3,6,7] => 5 [1,4,2,5,3,7,6] => 6 [1,4,2,5,6,3,7] => 8 [1,4,2,5,6,7,3] => 12 [1,4,2,5,7,3,6] => 10 [1,4,2,5,7,6,3] => 13 [1,4,2,6,3,5,7] => 7 [1,4,2,6,3,7,5] => 9 [1,4,2,6,5,3,7] => 9 [1,4,2,6,5,7,3] => 13 [1,4,2,6,7,3,5] => 11 [1,4,2,6,7,5,3] => 13 [1,4,2,7,3,5,6] => 10 [1,4,2,7,3,6,5] => 11 [1,4,2,7,5,3,6] => 12 [1,4,2,7,5,6,3] => 15 [1,4,2,7,6,3,5] => 12 [1,4,2,7,6,5,3] => 14 [1,4,3,2,5,6,7] => 4 [1,4,3,2,5,7,6] => 5 [1,4,3,2,6,5,7] => 5 [1,4,3,2,6,7,5] => 7 [1,4,3,2,7,5,6] => 7 [1,4,3,2,7,6,5] => 8 [1,4,3,5,2,6,7] => 7 [1,4,3,5,2,7,6] => 8 [1,4,3,5,6,2,7] => 11 [1,4,3,5,6,7,2] => 16 [1,4,3,5,7,2,6] => 13 [1,4,3,5,7,6,2] => 17 [1,4,3,6,2,5,7] => 9 [1,4,3,6,2,7,5] => 11 [1,4,3,6,5,2,7] => 12 [1,4,3,6,5,7,2] => 17 [1,4,3,6,7,2,5] => 14 [1,4,3,6,7,5,2] => 17 [1,4,3,7,2,5,6] => 12 [1,4,3,7,2,6,5] => 13 [1,4,3,7,5,2,6] => 15 [1,4,3,7,5,6,2] => 19 [1,4,3,7,6,2,5] => 15 [1,4,3,7,6,5,2] => 18 [1,4,5,2,3,6,7] => 6 [1,4,5,2,3,7,6] => 7 [1,4,5,2,6,3,7] => 9 [1,4,5,2,6,7,3] => 13 [1,4,5,2,7,3,6] => 11 [1,4,5,2,7,6,3] => 14 [1,4,5,3,2,6,7] => 7 [1,4,5,3,2,7,6] => 8 [1,4,5,3,6,2,7] => 11 [1,4,5,3,6,7,2] => 16 [1,4,5,3,7,2,6] => 13 [1,4,5,3,7,6,2] => 17 [1,4,5,6,2,3,7] => 9 [1,4,5,6,2,7,3] => 13 [1,4,5,6,3,2,7] => 10 [1,4,5,6,3,7,2] => 15 [1,4,5,6,7,2,3] => 12 [1,4,5,6,7,3,2] => 13 [1,4,5,7,2,3,6] => 12 [1,4,5,7,2,6,3] => 15 [1,4,5,7,3,2,6] => 13 [1,4,5,7,3,6,2] => 17 [1,4,5,7,6,2,3] => 13 [1,4,5,7,6,3,2] => 14 [1,4,6,2,3,5,7] => 9 [1,4,6,2,3,7,5] => 11 [1,4,6,2,5,3,7] => 11 [1,4,6,2,5,7,3] => 15 [1,4,6,2,7,3,5] => 13 [1,4,6,2,7,5,3] => 15 [1,4,6,3,2,5,7] => 10 [1,4,6,3,2,7,5] => 12 [1,4,6,3,5,2,7] => 13 [1,4,6,3,5,7,2] => 18 [1,4,6,3,7,2,5] => 15 [1,4,6,3,7,5,2] => 18 [1,4,6,5,2,3,7] => 10 [1,4,6,5,2,7,3] => 14 [1,4,6,5,3,2,7] => 11 ----------------------------------------------------------------------------- Created: Jun 06, 2019 at 13:50 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Jun 06, 2019 at 13:50 by Christian Stump