***************************************************************************** * 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: St000054 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The first entry of the permutation. This can be described as 1 plus the number of occurrences of the vincular pattern ([2,1], {(0,0),(0,1),(0,2)}), i.e., the first column is shaded, see [1]. This statistic is related to the number of deficiencies [[St000703]] as follows: consider the arc diagram of a permutation $\pi$ of $n$, together with its rotations, obtained by conjugating with the long cycle $(1,\dots,n)$. Drawing the labels $1$ to $n$ in this order on a circle, and the arcs $(i, \pi(i))$ as straight lines, the rotation of $\pi$ is obtained by replacing each number $i$ by $(i\bmod n) +1$. Then, $\pi(1)-1$ is the number of rotations of $\pi$ where the arc $(1, \pi(1))$ is a deficiency. In particular, if $O(\pi)$ is the orbit of rotations of $\pi$, then the number of deficiencies of $\pi$ equals $$\frac{1}{|O(\pi)|}\sum_{\sigma\in O(\pi)} (\sigma(1)-1).$$ ----------------------------------------------------------------------------- References: [1] Brändén, P., Claesson, A. Mesh patterns and the expansion of permutation statistics as sums of permutation patterns [[arXiv:1102.4226]] ----------------------------------------------------------------------------- Code: def statistic(pi): return pi[0] ----------------------------------------------------------------------------- Statistic values: [1] => 1 [1,2] => 1 [2,1] => 2 [1,2,3] => 1 [1,3,2] => 1 [2,1,3] => 2 [2,3,1] => 2 [3,1,2] => 3 [3,2,1] => 3 [1,2,3,4] => 1 [1,2,4,3] => 1 [1,3,2,4] => 1 [1,3,4,2] => 1 [1,4,2,3] => 1 [1,4,3,2] => 1 [2,1,3,4] => 2 [2,1,4,3] => 2 [2,3,1,4] => 2 [2,3,4,1] => 2 [2,4,1,3] => 2 [2,4,3,1] => 2 [3,1,2,4] => 3 [3,1,4,2] => 3 [3,2,1,4] => 3 [3,2,4,1] => 3 [3,4,1,2] => 3 [3,4,2,1] => 3 [4,1,2,3] => 4 [4,1,3,2] => 4 [4,2,1,3] => 4 [4,2,3,1] => 4 [4,3,1,2] => 4 [4,3,2,1] => 4 [1,2,3,4,5] => 1 [1,2,3,5,4] => 1 [1,2,4,3,5] => 1 [1,2,4,5,3] => 1 [1,2,5,3,4] => 1 [1,2,5,4,3] => 1 [1,3,2,4,5] => 1 [1,3,2,5,4] => 1 [1,3,4,2,5] => 1 [1,3,4,5,2] => 1 [1,3,5,2,4] => 1 [1,3,5,4,2] => 1 [1,4,2,3,5] => 1 [1,4,2,5,3] => 1 [1,4,3,2,5] => 1 [1,4,3,5,2] => 1 [1,4,5,2,3] => 1 [1,4,5,3,2] => 1 [1,5,2,3,4] => 1 [1,5,2,4,3] => 1 [1,5,3,2,4] => 1 [1,5,3,4,2] => 1 [1,5,4,2,3] => 1 [1,5,4,3,2] => 1 [2,1,3,4,5] => 2 [2,1,3,5,4] => 2 [2,1,4,3,5] => 2 [2,1,4,5,3] => 2 [2,1,5,3,4] => 2 [2,1,5,4,3] => 2 [2,3,1,4,5] => 2 [2,3,1,5,4] => 2 [2,3,4,1,5] => 2 [2,3,4,5,1] => 2 [2,3,5,1,4] => 2 [2,3,5,4,1] => 2 [2,4,1,3,5] => 2 [2,4,1,5,3] => 2 [2,4,3,1,5] => 2 [2,4,3,5,1] => 2 [2,4,5,1,3] => 2 [2,4,5,3,1] => 2 [2,5,1,3,4] => 2 [2,5,1,4,3] => 2 [2,5,3,1,4] => 2 [2,5,3,4,1] => 2 [2,5,4,1,3] => 2 [2,5,4,3,1] => 2 [3,1,2,4,5] => 3 [3,1,2,5,4] => 3 [3,1,4,2,5] => 3 [3,1,4,5,2] => 3 [3,1,5,2,4] => 3 [3,1,5,4,2] => 3 [3,2,1,4,5] => 3 [3,2,1,5,4] => 3 [3,2,4,1,5] => 3 [3,2,4,5,1] => 3 [3,2,5,1,4] => 3 [3,2,5,4,1] => 3 [3,4,1,2,5] => 3 [3,4,1,5,2] => 3 [3,4,2,1,5] => 3 [3,4,2,5,1] => 3 [3,4,5,1,2] => 3 [3,4,5,2,1] => 3 [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] => 4 [4,1,2,5,3] => 4 [4,1,3,2,5] => 4 [4,1,3,5,2] => 4 [4,1,5,2,3] => 4 [4,1,5,3,2] => 4 [4,2,1,3,5] => 4 [4,2,1,5,3] => 4 [4,2,3,1,5] => 4 [4,2,3,5,1] => 4 [4,2,5,1,3] => 4 [4,2,5,3,1] => 4 [4,3,1,2,5] => 4 [4,3,1,5,2] => 4 [4,3,2,1,5] => 4 [4,3,2,5,1] => 4 [4,3,5,1,2] => 4 [4,3,5,2,1] => 4 [4,5,1,2,3] => 4 [4,5,1,3,2] => 4 [4,5,2,1,3] => 4 [4,5,2,3,1] => 4 [4,5,3,1,2] => 4 [4,5,3,2,1] => 4 [5,1,2,3,4] => 5 [5,1,2,4,3] => 5 [5,1,3,2,4] => 5 [5,1,3,4,2] => 5 [5,1,4,2,3] => 5 [5,1,4,3,2] => 5 [5,2,1,3,4] => 5 [5,2,1,4,3] => 5 [5,2,3,1,4] => 5 [5,2,3,4,1] => 5 [5,2,4,1,3] => 5 [5,2,4,3,1] => 5 [5,3,1,2,4] => 5 [5,3,1,4,2] => 5 [5,3,2,1,4] => 5 [5,3,2,4,1] => 5 [5,3,4,1,2] => 5 [5,3,4,2,1] => 5 [5,4,1,2,3] => 5 [5,4,1,3,2] => 5 [5,4,2,1,3] => 5 [5,4,2,3,1] => 5 [5,4,3,1,2] => 5 [5,4,3,2,1] => 5 [1,2,3,4,5,6] => 1 [1,2,3,4,6,5] => 1 [1,2,3,5,4,6] => 1 [1,2,3,5,6,4] => 1 [1,2,3,6,4,5] => 1 [1,2,3,6,5,4] => 1 [1,2,4,3,5,6] => 1 [1,2,4,3,6,5] => 1 [1,2,4,5,3,6] => 1 [1,2,4,5,6,3] => 1 [1,2,4,6,3,5] => 1 [1,2,4,6,5,3] => 1 [1,2,5,3,4,6] => 1 [1,2,5,3,6,4] => 1 [1,2,5,4,3,6] => 1 [1,2,5,4,6,3] => 1 [1,2,5,6,3,4] => 1 [1,2,5,6,4,3] => 1 [1,2,6,3,4,5] => 1 [1,2,6,3,5,4] => 1 [1,2,6,4,3,5] => 1 [1,2,6,4,5,3] => 1 [1,2,6,5,3,4] => 1 [1,2,6,5,4,3] => 1 [1,3,2,4,5,6] => 1 [1,3,2,4,6,5] => 1 [1,3,2,5,4,6] => 1 [1,3,2,5,6,4] => 1 [1,3,2,6,4,5] => 1 [1,3,2,6,5,4] => 1 [1,3,4,2,5,6] => 1 [1,3,4,2,6,5] => 1 [1,3,4,5,2,6] => 1 [1,3,4,5,6,2] => 1 [1,3,4,6,2,5] => 1 [1,3,4,6,5,2] => 1 [1,3,5,2,4,6] => 1 [1,3,5,2,6,4] => 1 [1,3,5,4,2,6] => 1 [1,3,5,4,6,2] => 1 [1,3,5,6,2,4] => 1 [1,3,5,6,4,2] => 1 [1,3,6,2,4,5] => 1 [1,3,6,2,5,4] => 1 [1,3,6,4,2,5] => 1 [1,3,6,4,5,2] => 1 [1,3,6,5,2,4] => 1 [1,3,6,5,4,2] => 1 [1,4,2,3,5,6] => 1 [1,4,2,3,6,5] => 1 [1,4,2,5,3,6] => 1 [1,4,2,5,6,3] => 1 [1,4,2,6,3,5] => 1 [1,4,2,6,5,3] => 1 [1,4,3,2,5,6] => 1 [1,4,3,2,6,5] => 1 [1,4,3,5,2,6] => 1 [1,4,3,5,6,2] => 1 [1,4,3,6,2,5] => 1 [1,4,3,6,5,2] => 1 [1,4,5,2,3,6] => 1 [1,4,5,2,6,3] => 1 [1,4,5,3,2,6] => 1 [1,4,5,3,6,2] => 1 [1,4,5,6,2,3] => 1 [1,4,5,6,3,2] => 1 [1,4,6,2,3,5] => 1 [1,4,6,2,5,3] => 1 [1,4,6,3,2,5] => 1 [1,4,6,3,5,2] => 1 [1,4,6,5,2,3] => 1 [1,4,6,5,3,2] => 1 [1,5,2,3,4,6] => 1 [1,5,2,3,6,4] => 1 [1,5,2,4,3,6] => 1 [1,5,2,4,6,3] => 1 [1,5,2,6,3,4] => 1 [1,5,2,6,4,3] => 1 [1,5,3,2,4,6] => 1 [1,5,3,2,6,4] => 1 [1,5,3,4,2,6] => 1 [1,5,3,4,6,2] => 1 [1,5,3,6,2,4] => 1 [1,5,3,6,4,2] => 1 [1,5,4,2,3,6] => 1 [1,5,4,2,6,3] => 1 [1,5,4,3,2,6] => 1 [1,5,4,3,6,2] => 1 [1,5,4,6,2,3] => 1 [1,5,4,6,3,2] => 1 [1,5,6,2,3,4] => 1 [1,5,6,2,4,3] => 1 [1,5,6,3,2,4] => 1 [1,5,6,3,4,2] => 1 [1,5,6,4,2,3] => 1 [1,5,6,4,3,2] => 1 [1,6,2,3,4,5] => 1 [1,6,2,3,5,4] => 1 [1,6,2,4,3,5] => 1 [1,6,2,4,5,3] => 1 [1,6,2,5,3,4] => 1 [1,6,2,5,4,3] => 1 [1,6,3,2,4,5] => 1 [1,6,3,2,5,4] => 1 [1,6,3,4,2,5] => 1 [1,6,3,4,5,2] => 1 [1,6,3,5,2,4] => 1 [1,6,3,5,4,2] => 1 [1,6,4,2,3,5] => 1 [1,6,4,2,5,3] => 1 [1,6,4,3,2,5] => 1 [1,6,4,3,5,2] => 1 [1,6,4,5,2,3] => 1 [1,6,4,5,3,2] => 1 [1,6,5,2,3,4] => 1 [1,6,5,2,4,3] => 1 [1,6,5,3,2,4] => 1 [1,6,5,3,4,2] => 1 [1,6,5,4,2,3] => 1 [1,6,5,4,3,2] => 1 [2,1,3,4,5,6] => 2 [2,1,3,4,6,5] => 2 [2,1,3,5,4,6] => 2 [2,1,3,5,6,4] => 2 [2,1,3,6,4,5] => 2 [2,1,3,6,5,4] => 2 [2,1,4,3,5,6] => 2 [2,1,4,3,6,5] => 2 [2,1,4,5,3,6] => 2 [2,1,4,5,6,3] => 2 [2,1,4,6,3,5] => 2 [2,1,4,6,5,3] => 2 [2,1,5,3,4,6] => 2 [2,1,5,3,6,4] => 2 [2,1,5,4,3,6] => 2 [2,1,5,4,6,3] => 2 [2,1,5,6,3,4] => 2 [2,1,5,6,4,3] => 2 [2,1,6,3,4,5] => 2 [2,1,6,3,5,4] => 2 [2,1,6,4,3,5] => 2 [2,1,6,4,5,3] => 2 [2,1,6,5,3,4] => 2 [2,1,6,5,4,3] => 2 [2,3,1,4,5,6] => 2 [2,3,1,4,6,5] => 2 [2,3,1,5,4,6] => 2 [2,3,1,5,6,4] => 2 [2,3,1,6,4,5] => 2 [2,3,1,6,5,4] => 2 [2,3,4,1,5,6] => 2 [2,3,4,1,6,5] => 2 [2,3,4,5,1,6] => 2 [2,3,4,5,6,1] => 2 [2,3,4,6,1,5] => 2 [2,3,4,6,5,1] => 2 [2,3,5,1,4,6] => 2 [2,3,5,1,6,4] => 2 [2,3,5,4,1,6] => 2 [2,3,5,4,6,1] => 2 [2,3,5,6,1,4] => 2 [2,3,5,6,4,1] => 2 [2,3,6,1,4,5] => 2 [2,3,6,1,5,4] => 2 [2,3,6,4,1,5] => 2 [2,3,6,4,5,1] => 2 [2,3,6,5,1,4] => 2 [2,3,6,5,4,1] => 2 [2,4,1,3,5,6] => 2 [2,4,1,3,6,5] => 2 [2,4,1,5,3,6] => 2 [2,4,1,5,6,3] => 2 [2,4,1,6,3,5] => 2 [2,4,1,6,5,3] => 2 [2,4,3,1,5,6] => 2 [2,4,3,1,6,5] => 2 [2,4,3,5,1,6] => 2 [2,4,3,5,6,1] => 2 [2,4,3,6,1,5] => 2 [2,4,3,6,5,1] => 2 [2,4,5,1,3,6] => 2 [2,4,5,1,6,3] => 2 [2,4,5,3,1,6] => 2 [2,4,5,3,6,1] => 2 [2,4,5,6,1,3] => 2 [2,4,5,6,3,1] => 2 [2,4,6,1,3,5] => 2 [2,4,6,1,5,3] => 2 [2,4,6,3,1,5] => 2 [2,4,6,3,5,1] => 2 [2,4,6,5,1,3] => 2 [2,4,6,5,3,1] => 2 [2,5,1,3,4,6] => 2 [2,5,1,3,6,4] => 2 [2,5,1,4,3,6] => 2 [2,5,1,4,6,3] => 2 [2,5,1,6,3,4] => 2 [2,5,1,6,4,3] => 2 [2,5,3,1,4,6] => 2 [2,5,3,1,6,4] => 2 [2,5,3,4,1,6] => 2 [2,5,3,4,6,1] => 2 [2,5,3,6,1,4] => 2 [2,5,3,6,4,1] => 2 [2,5,4,1,3,6] => 2 [2,5,4,1,6,3] => 2 [2,5,4,3,1,6] => 2 [2,5,4,3,6,1] => 2 [2,5,4,6,1,3] => 2 [2,5,4,6,3,1] => 2 [2,5,6,1,3,4] => 2 [2,5,6,1,4,3] => 2 [2,5,6,3,1,4] => 2 [2,5,6,3,4,1] => 2 [2,5,6,4,1,3] => 2 [2,5,6,4,3,1] => 2 [2,6,1,3,4,5] => 2 [2,6,1,3,5,4] => 2 [2,6,1,4,3,5] => 2 [2,6,1,4,5,3] => 2 [2,6,1,5,3,4] => 2 [2,6,1,5,4,3] => 2 [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] => 2 [2,6,3,5,1,4] => 2 [2,6,3,5,4,1] => 2 [2,6,4,1,3,5] => 2 [2,6,4,1,5,3] => 2 [2,6,4,3,1,5] => 2 [2,6,4,3,5,1] => 2 [2,6,4,5,1,3] => 2 [2,6,4,5,3,1] => 2 [2,6,5,1,3,4] => 2 [2,6,5,1,4,3] => 2 [2,6,5,3,1,4] => 2 [2,6,5,3,4,1] => 2 [2,6,5,4,1,3] => 2 [2,6,5,4,3,1] => 2 [3,1,2,4,5,6] => 3 [3,1,2,4,6,5] => 3 [3,1,2,5,4,6] => 3 [3,1,2,5,6,4] => 3 [3,1,2,6,4,5] => 3 [3,1,2,6,5,4] => 3 [3,1,4,2,5,6] => 3 [3,1,4,2,6,5] => 3 [3,1,4,5,2,6] => 3 [3,1,4,5,6,2] => 3 [3,1,4,6,2,5] => 3 [3,1,4,6,5,2] => 3 [3,1,5,2,4,6] => 3 [3,1,5,2,6,4] => 3 [3,1,5,4,2,6] => 3 [3,1,5,4,6,2] => 3 [3,1,5,6,2,4] => 3 [3,1,5,6,4,2] => 3 [3,1,6,2,4,5] => 3 [3,1,6,2,5,4] => 3 [3,1,6,4,2,5] => 3 [3,1,6,4,5,2] => 3 [3,1,6,5,2,4] => 3 [3,1,6,5,4,2] => 3 [3,2,1,4,5,6] => 3 [3,2,1,4,6,5] => 3 [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] => 3 [3,2,4,1,5,6] => 3 [3,2,4,1,6,5] => 3 [3,2,4,5,1,6] => 3 [3,2,4,5,6,1] => 3 [3,2,4,6,1,5] => 3 [3,2,4,6,5,1] => 3 [3,2,5,1,4,6] => 3 [3,2,5,1,6,4] => 3 [3,2,5,4,1,6] => 3 [3,2,5,4,6,1] => 3 [3,2,5,6,1,4] => 3 [3,2,5,6,4,1] => 3 [3,2,6,1,4,5] => 3 [3,2,6,1,5,4] => 3 [3,2,6,4,1,5] => 3 [3,2,6,4,5,1] => 3 [3,2,6,5,1,4] => 3 [3,2,6,5,4,1] => 3 [3,4,1,2,5,6] => 3 [3,4,1,2,6,5] => 3 [3,4,1,5,2,6] => 3 [3,4,1,5,6,2] => 3 [3,4,1,6,2,5] => 3 [3,4,1,6,5,2] => 3 [3,4,2,1,5,6] => 3 [3,4,2,1,6,5] => 3 [3,4,2,5,1,6] => 3 [3,4,2,5,6,1] => 3 [3,4,2,6,1,5] => 3 [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] => 3 [3,4,5,2,6,1] => 3 [3,4,5,6,1,2] => 3 [3,4,5,6,2,1] => 3 [3,4,6,1,2,5] => 3 [3,4,6,1,5,2] => 3 [3,4,6,2,1,5] => 3 [3,4,6,2,5,1] => 3 [3,4,6,5,1,2] => 3 [3,4,6,5,2,1] => 3 [3,5,1,2,4,6] => 3 [3,5,1,2,6,4] => 3 [3,5,1,4,2,6] => 3 [3,5,1,4,6,2] => 3 [3,5,1,6,2,4] => 3 [3,5,1,6,4,2] => 3 [3,5,2,1,4,6] => 3 [3,5,2,1,6,4] => 3 [3,5,2,4,1,6] => 3 [3,5,2,4,6,1] => 3 [3,5,2,6,1,4] => 3 [3,5,2,6,4,1] => 3 [3,5,4,1,2,6] => 3 [3,5,4,1,6,2] => 3 [3,5,4,2,1,6] => 3 [3,5,4,2,6,1] => 3 [3,5,4,6,1,2] => 3 [3,5,4,6,2,1] => 3 [3,5,6,1,2,4] => 3 [3,5,6,1,4,2] => 3 [3,5,6,2,1,4] => 3 [3,5,6,2,4,1] => 3 [3,5,6,4,1,2] => 3 [3,5,6,4,2,1] => 3 [3,6,1,2,4,5] => 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] => 4 [4,1,2,3,6,5] => 4 [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] => 4 [4,1,3,2,5,6] => 4 [4,1,3,2,6,5] => 4 [4,1,3,5,2,6] => 4 [4,1,3,5,6,2] => 4 [4,1,3,6,2,5] => 4 [4,1,3,6,5,2] => 4 [4,1,5,2,3,6] => 4 [4,1,5,2,6,3] => 4 [4,1,5,3,2,6] => 4 [4,1,5,3,6,2] => 4 [4,1,5,6,2,3] => 4 [4,1,5,6,3,2] => 4 [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] => 4 [4,2,1,3,6,5] => 4 [4,2,1,5,3,6] => 4 [4,2,1,5,6,3] => 4 [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] => 4 [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] => 4 [4,2,5,1,6,3] => 4 [4,2,5,3,1,6] => 4 [4,2,5,3,6,1] => 4 [4,2,5,6,1,3] => 4 [4,2,5,6,3,1] => 4 [4,2,6,1,3,5] => 4 [4,2,6,1,5,3] => 4 [4,2,6,3,1,5] => 4 [4,2,6,3,5,1] => 4 [4,2,6,5,1,3] => 4 [4,2,6,5,3,1] => 4 [4,3,1,2,5,6] => 4 [4,3,1,2,6,5] => 4 [4,3,1,5,2,6] => 4 [4,3,1,5,6,2] => 4 [4,3,1,6,2,5] => 4 [4,3,1,6,5,2] => 4 [4,3,2,1,5,6] => 4 [4,3,2,1,6,5] => 4 [4,3,2,5,1,6] => 4 [4,3,2,5,6,1] => 4 [4,3,2,6,1,5] => 4 [4,3,2,6,5,1] => 4 [4,3,5,1,2,6] => 4 [4,3,5,1,6,2] => 4 [4,3,5,2,1,6] => 4 [4,3,5,2,6,1] => 4 [4,3,5,6,1,2] => 4 [4,3,5,6,2,1] => 4 [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] => 4 [4,5,1,2,6,3] => 4 [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] => 4 [4,5,2,1,3,6] => 4 [4,5,2,1,6,3] => 4 [4,5,2,3,1,6] => 4 [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] => 4 [4,5,3,1,6,2] => 4 [4,5,3,2,1,6] => 4 [4,5,3,2,6,1] => 4 [4,5,3,6,1,2] => 4 [4,5,3,6,2,1] => 4 [4,5,6,1,2,3] => 4 [4,5,6,1,3,2] => 4 [4,5,6,2,1,3] => 4 [4,5,6,2,3,1] => 4 [4,5,6,3,1,2] => 4 [4,5,6,3,2,1] => 4 [4,6,1,2,3,5] => 4 [4,6,1,2,5,3] => 4 [4,6,1,3,2,5] => 4 [4,6,1,3,5,2] => 4 [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] => 4 [4,6,2,5,1,3] => 4 [4,6,2,5,3,1] => 4 [4,6,3,1,2,5] => 4 [4,6,3,1,5,2] => 4 [4,6,3,2,1,5] => 4 [4,6,3,2,5,1] => 4 [4,6,3,5,1,2] => 4 [4,6,3,5,2,1] => 4 [4,6,5,1,2,3] => 4 [4,6,5,1,3,2] => 4 [4,6,5,2,1,3] => 4 [4,6,5,2,3,1] => 4 [4,6,5,3,1,2] => 4 [4,6,5,3,2,1] => 4 [5,1,2,3,4,6] => 5 [5,1,2,3,6,4] => 5 [5,1,2,4,3,6] => 5 [5,1,2,4,6,3] => 5 [5,1,2,6,3,4] => 5 [5,1,2,6,4,3] => 5 [5,1,3,2,4,6] => 5 [5,1,3,2,6,4] => 5 [5,1,3,4,2,6] => 5 [5,1,3,4,6,2] => 5 [5,1,3,6,2,4] => 5 [5,1,3,6,4,2] => 5 [5,1,4,2,3,6] => 5 [5,1,4,2,6,3] => 5 [5,1,4,3,2,6] => 5 [5,1,4,3,6,2] => 5 [5,1,4,6,2,3] => 5 [5,1,4,6,3,2] => 5 [5,1,6,2,3,4] => 5 [5,1,6,2,4,3] => 5 [5,1,6,3,2,4] => 5 [5,1,6,3,4,2] => 5 [5,1,6,4,2,3] => 5 [5,1,6,4,3,2] => 5 [5,2,1,3,4,6] => 5 [5,2,1,3,6,4] => 5 [5,2,1,4,3,6] => 5 [5,2,1,4,6,3] => 5 [5,2,1,6,3,4] => 5 [5,2,1,6,4,3] => 5 [5,2,3,1,4,6] => 5 [5,2,3,1,6,4] => 5 [5,2,3,4,1,6] => 5 [5,2,3,4,6,1] => 5 [5,2,3,6,1,4] => 5 [5,2,3,6,4,1] => 5 [5,2,4,1,3,6] => 5 [5,2,4,1,6,3] => 5 [5,2,4,3,1,6] => 5 [5,2,4,3,6,1] => 5 [5,2,4,6,1,3] => 5 [5,2,4,6,3,1] => 5 [5,2,6,1,3,4] => 5 [5,2,6,1,4,3] => 5 [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] => 5 [5,3,1,2,4,6] => 5 [5,3,1,2,6,4] => 5 [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] => 5 [5,3,2,1,6,4] => 5 [5,3,2,4,1,6] => 5 [5,3,2,4,6,1] => 5 [5,3,2,6,1,4] => 5 [5,3,2,6,4,1] => 5 [5,3,4,1,2,6] => 5 [5,3,4,1,6,2] => 5 [5,3,4,2,1,6] => 5 [5,3,4,2,6,1] => 5 [5,3,4,6,1,2] => 5 [5,3,4,6,2,1] => 5 [5,3,6,1,2,4] => 5 [5,3,6,1,4,2] => 5 [5,3,6,2,1,4] => 5 [5,3,6,2,4,1] => 5 [5,3,6,4,1,2] => 5 [5,3,6,4,2,1] => 5 [5,4,1,2,3,6] => 5 [5,4,1,2,6,3] => 5 [5,4,1,3,2,6] => 5 [5,4,1,3,6,2] => 5 [5,4,1,6,2,3] => 5 [5,4,1,6,3,2] => 5 [5,4,2,1,3,6] => 5 [5,4,2,1,6,3] => 5 [5,4,2,3,1,6] => 5 [5,4,2,3,6,1] => 5 [5,4,2,6,1,3] => 5 [5,4,2,6,3,1] => 5 [5,4,3,1,2,6] => 5 [5,4,3,1,6,2] => 5 [5,4,3,2,1,6] => 5 [5,4,3,2,6,1] => 5 [5,4,3,6,1,2] => 5 [5,4,3,6,2,1] => 5 [5,4,6,1,2,3] => 5 [5,4,6,1,3,2] => 5 [5,4,6,2,1,3] => 5 [5,4,6,2,3,1] => 5 [5,4,6,3,1,2] => 5 [5,4,6,3,2,1] => 5 [5,6,1,2,3,4] => 5 [5,6,1,2,4,3] => 5 [5,6,1,3,2,4] => 5 [5,6,1,3,4,2] => 5 [5,6,1,4,2,3] => 5 [5,6,1,4,3,2] => 5 [5,6,2,1,3,4] => 5 [5,6,2,1,4,3] => 5 [5,6,2,3,1,4] => 5 [5,6,2,3,4,1] => 5 [5,6,2,4,1,3] => 5 [5,6,2,4,3,1] => 5 [5,6,3,1,2,4] => 5 [5,6,3,1,4,2] => 5 [5,6,3,2,1,4] => 5 [5,6,3,2,4,1] => 5 [5,6,3,4,1,2] => 5 [5,6,3,4,2,1] => 5 [5,6,4,1,2,3] => 5 [5,6,4,1,3,2] => 5 [5,6,4,2,1,3] => 5 [5,6,4,2,3,1] => 5 [5,6,4,3,1,2] => 5 [5,6,4,3,2,1] => 5 [6,1,2,3,4,5] => 6 [6,1,2,3,5,4] => 6 [6,1,2,4,3,5] => 6 [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] => 6 [6,1,3,2,5,4] => 6 [6,1,3,4,2,5] => 6 [6,1,3,4,5,2] => 6 [6,1,3,5,2,4] => 6 [6,1,3,5,4,2] => 6 [6,1,4,2,3,5] => 6 [6,1,4,2,5,3] => 6 [6,1,4,3,2,5] => 6 [6,1,4,3,5,2] => 6 [6,1,4,5,2,3] => 6 [6,1,4,5,3,2] => 6 [6,1,5,2,3,4] => 6 [6,1,5,2,4,3] => 6 [6,1,5,3,2,4] => 6 [6,1,5,3,4,2] => 6 [6,1,5,4,2,3] => 6 [6,1,5,4,3,2] => 6 [6,2,1,3,4,5] => 6 [6,2,1,3,5,4] => 6 [6,2,1,4,3,5] => 6 [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] => 6 [6,2,3,4,5,1] => 6 [6,2,3,5,1,4] => 6 [6,2,3,5,4,1] => 6 [6,2,4,1,3,5] => 6 [6,2,4,1,5,3] => 6 [6,2,4,3,1,5] => 6 [6,2,4,3,5,1] => 6 [6,2,4,5,1,3] => 6 [6,2,4,5,3,1] => 6 [6,2,5,1,3,4] => 6 [6,2,5,1,4,3] => 6 [6,2,5,3,1,4] => 6 [6,2,5,3,4,1] => 6 [6,2,5,4,1,3] => 6 [6,2,5,4,3,1] => 6 [6,3,1,2,4,5] => 6 [6,3,1,2,5,4] => 6 [6,3,1,4,2,5] => 6 [6,3,1,4,5,2] => 6 [6,3,1,5,2,4] => 6 [6,3,1,5,4,2] => 6 [6,3,2,1,4,5] => 6 [6,3,2,1,5,4] => 6 [6,3,2,4,1,5] => 6 [6,3,2,4,5,1] => 6 [6,3,2,5,1,4] => 6 [6,3,2,5,4,1] => 6 [6,3,4,1,2,5] => 6 [6,3,4,1,5,2] => 6 [6,3,4,2,1,5] => 6 [6,3,4,2,5,1] => 6 [6,3,4,5,1,2] => 6 [6,3,4,5,2,1] => 6 [6,3,5,1,2,4] => 6 [6,3,5,1,4,2] => 6 [6,3,5,2,1,4] => 6 [6,3,5,2,4,1] => 6 [6,3,5,4,1,2] => 6 [6,3,5,4,2,1] => 6 [6,4,1,2,3,5] => 6 [6,4,1,2,5,3] => 6 [6,4,1,3,2,5] => 6 [6,4,1,3,5,2] => 6 [6,4,1,5,2,3] => 6 [6,4,1,5,3,2] => 6 [6,4,2,1,3,5] => 6 [6,4,2,1,5,3] => 6 [6,4,2,3,1,5] => 6 [6,4,2,3,5,1] => 6 [6,4,2,5,1,3] => 6 [6,4,2,5,3,1] => 6 [6,4,3,1,2,5] => 6 [6,4,3,1,5,2] => 6 [6,4,3,2,1,5] => 6 [6,4,3,2,5,1] => 6 [6,4,3,5,1,2] => 6 [6,4,3,5,2,1] => 6 [6,4,5,1,2,3] => 6 [6,4,5,1,3,2] => 6 [6,4,5,2,1,3] => 6 [6,4,5,2,3,1] => 6 [6,4,5,3,1,2] => 6 [6,4,5,3,2,1] => 6 [6,5,1,2,3,4] => 6 [6,5,1,2,4,3] => 6 [6,5,1,3,2,4] => 6 [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] => 6 [6,5,2,1,4,3] => 6 [6,5,2,3,1,4] => 6 [6,5,2,3,4,1] => 6 [6,5,2,4,1,3] => 6 [6,5,2,4,3,1] => 6 [6,5,3,1,2,4] => 6 [6,5,3,1,4,2] => 6 [6,5,3,2,1,4] => 6 [6,5,3,2,4,1] => 6 [6,5,3,4,1,2] => 6 [6,5,3,4,2,1] => 6 [6,5,4,1,2,3] => 6 [6,5,4,1,3,2] => 6 [6,5,4,2,1,3] => 6 [6,5,4,2,3,1] => 6 [6,5,4,3,1,2] => 6 [6,5,4,3,2,1] => 6 [1,2,3,4,5,6,7] => 1 [1,2,3,4,5,7,6] => 1 [1,2,3,4,6,5,7] => 1 [1,2,3,6,4,7,5] => 1 [1,2,6,3,4,7,5] => 1 [1,3,2,4,5,6,7] => 1 [1,3,7,2,4,5,6] => 1 [1,3,7,6,5,4,2] => 1 [1,4,6,7,2,3,5] => 1 [1,4,6,7,5,3,2] => 1 [1,4,7,2,3,5,6] => 1 [1,4,7,6,5,3,2] => 1 [1,5,2,3,4,7,6] => 1 [1,5,2,7,3,4,6] => 1 [1,5,4,7,6,3,2] => 1 [1,5,6,2,7,3,4] => 1 [1,5,6,4,7,3,2] => 1 [1,5,6,7,2,3,4] => 1 [1,5,6,7,4,3,2] => 1 [1,5,7,2,3,4,6] => 1 [1,5,7,6,4,3,2] => 1 [1,6,2,3,4,7,5] => 1 [1,6,2,3,7,4,5] => 1 [1,6,2,7,3,4,5] => 1 [1,6,5,4,3,7,2] => 1 [1,6,5,4,7,3,2] => 1 [1,6,5,7,4,3,2] => 1 [1,6,7,2,3,4,5] => 1 [1,6,7,5,4,3,2] => 1 [1,7,2,3,4,5,6] => 1 [1,7,3,5,6,4,2] => 1 [1,7,3,6,5,4,2] => 1 [1,7,4,3,6,5,2] => 1 [1,7,4,5,3,6,2] => 1 [1,7,4,5,6,3,2] => 1 [1,7,4,6,5,3,2] => 1 [1,7,5,4,3,6,2] => 1 [1,7,5,4,6,3,2] => 1 [1,7,6,4,5,3,2] => 1 [1,7,6,5,4,3,2] => 1 [2,1,3,4,5,6,7] => 2 [2,1,3,4,7,5,6] => 2 [2,1,3,7,4,5,6] => 2 [2,1,6,3,4,5,7] => 2 [2,1,7,3,4,5,6] => 2 [2,1,7,6,5,4,3] => 2 [2,3,1,4,5,6,7] => 2 [2,3,4,1,5,6,7] => 2 [2,3,4,1,5,7,6] => 2 [2,3,4,5,1,6,7] => 2 [2,3,4,5,1,7,6] => 2 [2,3,4,5,6,1,7] => 2 [2,3,4,5,6,7,1] => 2 [2,3,4,5,7,1,6] => 2 [2,3,4,6,1,7,5] => 2 [2,3,4,6,7,1,5] => 2 [2,3,4,7,1,5,6] => 2 [2,3,5,6,7,1,4] => 2 [2,4,1,3,5,6,7] => 2 [2,5,1,3,4,6,7] => 2 [2,5,7,1,3,4,6] => 2 [2,6,1,3,4,5,7] => 2 [2,6,1,7,3,4,5] => 2 [2,6,5,4,3,1,7] => 2 [2,6,7,1,3,4,5] => 2 [2,7,1,3,4,5,6] => 2 [3,1,2,4,5,6,7] => 3 [3,1,2,4,5,7,6] => 3 [3,2,1,4,5,6,7] => 3 [3,2,4,5,6,7,1] => 3 [3,4,1,2,5,6,7] => 3 [3,4,2,5,6,7,1] => 3 [3,4,5,2,6,7,1] => 3 [3,4,5,6,2,7,1] => 3 [3,4,5,6,7,1,2] => 3 [3,5,6,1,2,4,7] => 3 [3,5,6,4,2,1,7] => 3 [3,6,1,2,4,5,7] => 3 [3,6,5,4,2,1,7] => 3 [4,1,2,3,5,6,7] => 4 [4,1,2,3,5,7,6] => 4 [4,1,6,2,3,5,7] => 4 [4,2,3,5,6,7,1] => 4 [4,2,5,1,3,6,7] => 4 [4,3,2,1,5,6,7] => 4 [4,3,2,5,6,7,1] => 4 [4,3,5,2,6,7,1] => 4 [4,3,6,5,2,1,7] => 4 [4,5,1,6,2,3,7] => 4 [4,5,2,3,6,7,1] => 4 [4,5,3,6,2,1,7] => 4 [4,5,6,1,2,3,7] => 4 [4,5,6,3,2,1,7] => 4 [4,6,1,2,3,5,7] => 4 [4,6,1,2,3,7,5] => 4 [4,6,5,3,2,1,7] => 4 [5,1,2,3,4,6,7] => 5 [5,1,2,3,4,7,6] => 5 [5,1,2,3,6,4,7] => 5 [5,1,2,3,6,7,4] => 5 [5,1,2,3,7,4,6] => 5 [5,1,2,6,3,4,7] => 5 [5,1,6,2,3,4,7] => 5 [5,1,6,2,3,7,4] => 5 [5,2,3,4,6,7,1] => 5 [5,2,6,7,1,3,4] => 5 [5,3,2,4,6,7,1] => 5 [5,3,2,6,1,4,7] => 5 [5,3,6,7,1,2,4] => 5 [5,4,3,2,1,6,7] => 5 [5,4,3,2,1,7,6] => 5 [5,4,3,2,6,1,7] => 5 [5,4,3,6,2,1,7] => 5 [5,4,6,3,2,1,7] => 5 [5,4,6,7,1,2,3] => 5 [5,6,1,2,3,4,7] => 5 [5,6,1,2,3,7,4] => 5 [5,6,3,4,1,2,7] => 5 [5,6,4,3,2,1,7] => 5 [5,6,7,1,2,3,4] => 5 [6,1,2,3,4,5,7] => 6 [6,1,2,3,4,7,5] => 6 [6,1,2,3,7,4,5] => 6 [6,1,2,7,3,4,5] => 6 [6,2,3,4,5,7,1] => 6 [6,2,4,5,3,1,7] => 6 [6,2,5,4,3,1,7] => 6 [6,3,2,5,4,1,7] => 6 [6,3,4,2,5,1,7] => 6 [6,3,4,5,2,1,7] => 6 [6,3,4,7,1,2,5] => 6 [6,3,5,4,2,1,7] => 6 [6,4,3,2,5,1,7] => 6 [6,4,3,2,7,1,5] => 6 [6,4,3,5,2,1,7] => 6 [6,4,5,7,1,2,3] => 6 [6,4,7,2,5,1,3] => 6 [6,4,7,3,5,1,2] => 6 [6,5,3,4,2,1,7] => 6 [6,5,4,3,2,1,7] => 6 [6,5,7,3,4,1,2] => 6 [6,7,1,2,3,4,5] => 6 [6,7,3,4,1,2,5] => 6 [6,7,4,5,1,2,3] => 6 [7,1,2,3,4,5,6] => 7 [7,2,1,3,4,5,6] => 7 [7,2,3,1,4,5,6] => 7 [7,2,3,4,1,5,6] => 7 [7,2,3,4,5,1,6] => 7 [7,3,1,2,4,5,6] => 7 [7,3,2,1,4,5,6] => 7 [7,3,2,4,1,5,6] => 7 [7,3,4,1,2,5,6] => 7 [7,4,1,2,3,5,6] => 7 [7,4,2,1,3,5,6] => 7 [7,4,5,6,1,2,3] => 7 [7,5,1,2,3,4,6] => 7 [7,5,6,1,2,3,4] => 7 [7,5,6,3,4,1,2] => 7 [7,6,1,2,3,4,5] => 7 [7,6,4,5,1,2,3] => 7 [7,6,5,1,2,3,4] => 7 [7,6,5,3,4,1,2] => 7 [7,6,5,4,1,2,3] => 7 [7,6,5,4,3,1,2] => 7 [7,6,5,4,3,2,1] => 7 [8,7,6,5,4,3,2,1] => 8 [7,6,8,5,4,3,2,1] => 7 [7,8,5,6,4,3,2,1] => 7 [7,8,6,4,5,3,2,1] => 7 [8,6,7,4,5,3,2,1] => 8 [7,6,5,4,8,3,2,1] => 7 [6,5,7,4,8,3,2,1] => 6 [7,8,6,5,3,4,2,1] => 7 [8,6,7,5,3,4,2,1] => 8 [8,7,5,6,3,4,2,1] => 8 [6,7,8,3,4,5,2,1] => 6 [7,8,6,5,4,2,3,1] => 7 [8,6,7,5,4,2,3,1] => 8 [8,7,5,6,4,2,3,1] => 8 [8,7,6,4,5,2,3,1] => 8 [8,6,5,7,3,2,4,1] => 8 [6,7,8,5,2,3,4,1] => 6 [8,5,6,7,2,3,4,1] => 8 [7,8,3,2,4,5,6,1] => 7 [7,6,5,4,3,2,8,1] => 7 [6,5,7,4,3,2,8,1] => 6 [6,5,4,3,7,2,8,1] => 6 [5,4,6,3,7,2,8,1] => 5 [3,4,5,2,6,7,8,1] => 3 [5,2,3,4,6,7,8,1] => 5 [4,3,2,5,6,7,8,1] => 4 [3,4,2,5,6,7,8,1] => 3 [4,2,3,5,6,7,8,1] => 4 [3,2,4,5,6,7,8,1] => 3 [2,3,4,5,6,7,8,1] => 2 [8,7,6,5,4,3,1,2] => 8 [7,8,6,5,4,3,1,2] => 7 [8,6,7,5,4,3,1,2] => 8 [8,7,5,6,4,3,1,2] => 8 [8,7,6,4,5,3,1,2] => 8 [8,7,6,5,3,4,1,2] => 8 [8,7,5,6,3,4,1,2] => 8 [7,8,5,6,3,4,1,2] => 7 [5,6,7,8,3,4,1,2] => 5 [7,8,3,4,5,6,1,2] => 7 [3,4,5,6,7,8,1,2] => 3 [8,7,6,5,4,2,1,3] => 8 [7,6,8,5,4,2,1,3] => 7 [8,7,6,5,4,1,2,3] => 8 [6,7,8,5,4,1,2,3] => 6 [8,5,6,7,4,1,2,3] => 8 [8,7,6,4,5,1,2,3] => 8 [8,6,7,4,5,1,2,3] => 8 [8,7,4,5,6,1,2,3] => 8 [7,8,4,5,6,1,2,3] => 7 [6,7,4,5,8,1,2,3] => 6 [7,6,5,8,3,2,1,4] => 7 [7,5,6,8,2,3,1,4] => 7 [6,7,5,8,3,1,2,4] => 6 [6,5,7,8,2,1,3,4] => 6 [8,7,6,5,1,2,3,4] => 8 [8,7,5,6,1,2,3,4] => 8 [7,8,5,6,1,2,3,4] => 7 [8,5,6,7,1,2,3,4] => 8 [5,6,7,8,1,2,3,4] => 5 [8,7,6,4,3,2,1,5] => 8 [8,7,6,4,2,1,3,5] => 8 [8,7,6,1,2,3,4,5] => 8 [8,6,7,1,2,3,4,5] => 8 [6,7,8,1,2,3,4,5] => 6 [7,8,5,4,2,1,3,6] => 7 [7,8,5,4,1,2,3,6] => 7 [8,7,1,2,3,4,5,6] => 8 [7,8,1,2,3,4,5,6] => 7 [8,6,5,4,3,2,1,7] => 8 [8,6,5,4,3,1,2,7] => 8 [8,5,6,3,4,1,2,7] => 8 [8,6,5,4,2,1,3,7] => 8 [8,6,4,3,2,1,5,7] => 8 [8,6,4,2,1,3,5,7] => 8 [8,2,3,4,1,5,6,7] => 8 [8,4,1,2,3,5,6,7] => 8 [8,3,2,1,4,5,6,7] => 8 [8,2,3,1,4,5,6,7] => 8 [8,3,1,2,4,5,6,7] => 8 [8,2,1,3,4,5,6,7] => 8 [8,1,2,3,4,5,6,7] => 8 [7,6,5,4,3,2,1,8] => 7 [6,7,5,4,3,2,1,8] => 6 [6,5,7,4,3,2,1,8] => 6 [5,6,7,4,3,2,1,8] => 5 [7,6,4,5,3,2,1,8] => 7 [6,5,4,7,3,2,1,8] => 6 [7,5,6,3,4,2,1,8] => 7 [7,6,4,3,5,2,1,8] => 7 [7,6,3,4,5,2,1,8] => 7 [7,5,4,3,6,2,1,8] => 7 [6,7,5,4,2,3,1,8] => 6 [6,5,7,3,2,4,1,8] => 6 [5,6,7,2,3,4,1,8] => 5 [2,3,4,5,6,7,1,8] => 2 [5,6,7,1,2,3,4,8] => 5 [6,7,1,2,3,4,5,8] => 6 [7,1,2,3,4,5,6,8] => 7 [6,5,4,3,2,1,7,8] => 6 [2,3,4,5,6,1,7,8] => 2 [5,6,3,4,1,2,7,8] => 5 [4,5,6,1,2,3,7,8] => 4 [6,1,2,3,4,5,7,8] => 6 [5,4,3,2,1,6,7,8] => 5 [2,3,4,5,1,6,7,8] => 2 [5,1,2,3,4,6,7,8] => 5 [4,3,2,1,5,6,7,8] => 4 [3,4,1,2,5,6,7,8] => 3 [3,2,1,4,5,6,7,8] => 3 [2,1,3,4,5,6,7,8] => 2 [1,2,3,4,5,6,7,8] => 1 [6,5,8,7,4,3,2,1] => 6 [3,5,8,7,6,4,2,1] => 3 [4,3,6,5,8,7,2,1] => 4 [2,6,8,7,5,4,3,1] => 2 [2,3,5,6,8,7,4,1] => 2 [3,2,6,5,4,8,7,1] => 3 [4,3,6,5,7,2,8,1] => 4 [3,2,6,5,7,4,8,1] => 3 [4,3,5,2,7,6,8,1] => 4 [3,2,5,4,7,6,8,1] => 3 [1,8,7,6,5,4,3,2] => 1 [1,7,8,6,5,4,3,2] => 1 [1,6,8,7,5,4,3,2] => 1 [1,7,6,8,5,4,3,2] => 1 [1,6,7,8,5,4,3,2] => 1 [1,5,8,7,6,4,3,2] => 1 [1,7,6,5,8,4,3,2] => 1 [1,3,5,7,8,6,4,2] => 1 [1,4,3,8,7,6,5,2] => 1 [1,6,5,4,3,8,7,2] => 1 [1,4,3,6,5,8,7,2] => 1 [2,1,8,7,6,5,4,3] => 2 [2,1,6,5,7,4,8,3] => 2 [2,1,5,4,7,6,8,3] => 2 [1,2,6,7,8,5,4,3] => 1 [3,2,1,8,7,6,5,4] => 3 [3,2,1,6,5,8,7,4] => 3 [1,2,3,5,6,7,8,4] => 1 [4,3,2,1,8,7,6,5] => 4 [3,4,2,1,7,8,6,5] => 3 [2,4,3,1,6,8,7,5] => 2 [2,4,3,1,7,6,8,5] => 2 [3,2,4,1,6,8,7,5] => 3 [3,2,4,1,7,6,8,5] => 3 [2,3,4,1,6,7,8,5] => 2 [2,1,4,3,8,7,6,5] => 2 [2,1,4,3,6,8,7,5] => 2 [2,1,4,3,7,6,8,5] => 2 [5,4,3,2,1,8,7,6] => 5 [3,2,5,4,1,8,7,6] => 3 [3,2,1,4,5,8,7,6] => 3 [2,3,1,4,5,7,8,6] => 2 [6,5,4,3,2,1,8,7] => 6 [4,3,5,2,6,1,8,7] => 4 [3,2,5,4,6,1,8,7] => 3 [2,3,4,5,6,1,8,7] => 2 [2,1,6,5,4,3,8,7] => 2 [2,1,4,6,5,3,8,7] => 2 [2,1,5,4,6,3,8,7] => 2 [4,3,2,1,6,5,8,7] => 4 [2,4,3,1,6,5,8,7] => 2 [3,2,4,1,6,5,8,7] => 3 [2,1,4,3,6,5,8,7] => 2 [2,1,3,4,5,6,8,7] => 2 [1,2,3,4,5,6,8,7] => 1 [5,7,6,4,3,2,1,8] => 5 [4,7,6,5,3,2,1,8] => 4 [3,2,7,6,5,4,1,8] => 3 [5,4,3,2,7,6,1,8] => 5 [3,2,5,4,7,6,1,8] => 3 [1,4,3,2,7,6,5,8] => 1 [1,3,4,2,6,7,5,8] => 1 [1,3,2,5,4,7,6,8] => 1 [1,2,3,5,4,7,6,8] => 1 [1,3,2,4,5,7,6,8] => 1 [1,2,3,4,5,7,6,8] => 1 [1,2,4,3,6,5,7,8] => 1 [1,3,2,5,4,6,7,8] => 1 [1,2,3,5,4,6,7,8] => 1 [1,3,2,4,5,6,7,8] => 1 [1,8,4,7,6,5,3,2] => 1 [1,8,5,4,7,6,3,2] => 1 [1,8,7,4,5,6,3,2] => 1 [1,8,7,4,6,5,3,2] => 1 [1,8,6,5,4,7,3,2] => 1 [1,8,7,5,4,6,3,2] => 1 [1,8,7,5,6,4,3,2] => 1 [2,1,4,5,8,6,7,3] => 2 [2,1,8,5,4,7,6,3] => 2 [2,3,4,8,5,6,7,1] => 2 [2,3,6,4,5,1,8,7] => 2 [2,3,7,4,5,6,8,1] => 2 [2,8,4,3,5,7,6,1] => 2 [4,2,3,1,8,6,7,5] => 4 [8,2,7,4,6,5,3,1] => 8 [4,3,2,7,5,6,8,1] => 4 [4,3,2,8,5,7,6,1] => 4 [6,3,2,5,4,1,8,7] => 6 [8,3,2,5,4,7,6,1] => 8 [8,3,2,7,6,5,4,1] => 8 [8,3,7,4,6,5,2,1] => 8 [7,3,6,5,4,2,1,8] => 7 [7,4,3,6,5,2,1,8] => 7 [7,6,3,5,4,2,1,8] => 7 [8,5,4,3,2,7,6,1] => 8 [8,7,4,3,6,5,2,1] => 8 [2,4,6,8,1,3,5,7] => 2 [2,4,6,1,7,3,8,5] => 2 [2,1,4,3,7,5,8,6] => 2 [2,4,1,3,7,5,8,6] => 2 [2,1,4,3,7,8,5,6] => 2 [2,4,7,8,1,3,5,6] => 2 [2,1,4,3,8,5,6,7] => 2 [2,4,5,6,7,1,8,3] => 2 [2,1,5,3,6,4,8,7] => 2 [2,1,5,6,3,4,8,7] => 2 [2,5,6,8,1,3,4,7] => 2 [2,1,5,3,7,4,8,6] => 2 [2,5,1,7,3,4,8,6] => 2 [2,1,5,7,3,8,4,6] => 2 [2,5,7,8,1,3,4,6] => 2 [2,3,5,6,1,7,8,4] => 2 [2,1,6,3,7,4,8,5] => 2 [2,6,7,1,3,4,8,5] => 2 [2,1,6,7,8,3,4,5] => 2 [2,6,7,8,1,3,4,5] => 2 [2,1,6,3,4,7,8,5] => 2 [2,1,6,3,4,5,8,7] => 2 [2,6,1,3,4,5,7,8] => 2 [2,7,8,1,3,4,5,6] => 2 [2,7,1,3,4,5,6,8] => 2 [2,3,4,5,7,8,1,6] => 2 [2,1,8,3,4,5,6,7] => 2 [2,8,1,3,4,5,6,7] => 2 [2,1,3,8,4,5,6,7] => 2 [2,3,4,5,6,8,1,7] => 2 [3,1,4,2,6,5,8,7] => 3 [3,4,1,2,6,5,8,7] => 3 [3,1,4,2,6,8,5,7] => 3 [3,4,6,8,1,2,5,7] => 3 [3,1,4,2,7,5,8,6] => 3 [3,4,1,2,7,8,5,6] => 3 [3,4,7,8,1,2,5,6] => 3 [3,1,5,2,6,4,8,7] => 3 [3,5,1,6,2,4,8,7] => 3 [3,1,5,6,2,8,4,7] => 3 [3,5,6,8,1,2,4,7] => 3 [3,1,5,2,7,4,8,6] => 3 [3,5,1,7,2,8,4,6] => 3 [3,5,7,8,1,2,4,6] => 3 [1,3,2,5,4,8,6,7] => 1 [1,3,5,8,2,4,6,7] => 1 [1,3,5,6,2,7,4,8] => 1 [3,1,6,2,7,4,8,5] => 3 [3,6,7,1,2,8,4,5] => 3 [3,6,1,7,8,2,4,5] => 3 [3,6,7,8,1,2,4,5] => 3 [1,3,2,6,4,7,5,8] => 1 [3,1,2,6,7,4,8,5] => 3 [1,3,2,6,4,8,5,7] => 1 [1,3,2,6,4,5,7,8] => 1 [1,3,2,7,4,8,5,6] => 1 [1,3,2,7,4,5,6,8] => 1 [1,3,2,8,4,5,6,7] => 1 [3,1,2,4,5,8,6,7] => 3 [1,3,2,4,5,8,6,7] => 1 [4,1,5,2,6,3,8,7] => 4 [4,5,6,1,2,3,8,7] => 4 [4,1,5,6,8,2,3,7] => 4 [4,5,6,8,1,2,3,7] => 4 [4,1,5,2,7,3,8,6] => 4 [4,1,5,2,7,8,3,6] => 4 [4,5,7,1,2,8,3,6] => 4 [4,5,1,7,8,2,3,6] => 4 [4,5,7,8,1,2,3,6] => 4 [1,4,2,5,3,7,6,8] => 1 [1,4,2,5,3,8,6,7] => 1 [1,4,2,5,3,6,7,8] => 1 [1,4,5,6,7,2,3,8] => 1 [4,1,6,2,7,3,8,5] => 4 [4,6,7,1,8,2,3,5] => 4 [4,6,7,8,1,2,3,5] => 4 [1,4,2,6,3,7,5,8] => 1 [1,4,2,6,7,8,3,5] => 1 [1,4,2,6,3,8,5,7] => 1 [4,1,2,3,6,5,8,7] => 4 [1,4,2,6,3,5,7,8] => 1 [1,4,2,7,3,8,5,6] => 1 [4,7,1,2,3,5,6,8] => 4 [1,4,2,7,3,5,6,8] => 1 [1,4,2,3,7,5,6,8] => 1 [1,4,2,3,5,7,6,8] => 1 [1,4,2,8,3,5,6,7] => 1 [4,1,2,3,8,5,6,7] => 4 [1,4,2,3,5,8,6,7] => 1 [1,4,2,3,5,6,7,8] => 1 [5,1,6,2,7,3,8,4] => 5 [1,5,2,6,3,7,4,8] => 1 [1,5,2,6,3,8,4,7] => 1 [1,5,2,6,3,4,7,8] => 1 [1,2,5,6,3,4,7,8] => 1 [1,5,2,7,3,8,4,6] => 1 [5,7,1,2,3,4,6,8] => 5 [1,5,2,7,3,4,6,8] => 1 [1,5,2,3,4,7,6,8] => 1 [5,1,2,8,3,4,6,7] => 5 [1,5,2,8,3,4,6,7] => 1 [1,5,8,2,3,4,6,7] => 1 [1,5,2,3,4,8,6,7] => 1 [1,2,3,5,4,8,6,7] => 1 [5,1,2,3,4,6,8,7] => 5 [1,5,2,3,4,6,7,8] => 1 [1,6,2,7,3,8,4,5] => 1 [1,6,7,8,2,3,4,5] => 1 [6,7,1,2,3,4,8,5] => 6 [6,1,7,2,3,4,5,8] => 6 [6,1,2,7,3,4,5,8] => 6 [1,6,2,7,3,4,5,8] => 1 [1,6,7,2,3,4,5,8] => 1 [1,6,2,3,4,7,5,8] => 1 [1,2,3,6,4,7,5,8] => 1 [6,1,8,2,3,4,5,7] => 6 [1,6,2,8,3,4,5,7] => 1 [1,6,8,2,3,4,5,7] => 1 [1,6,2,3,4,8,5,7] => 1 [1,2,3,6,4,8,5,7] => 1 [6,1,2,3,4,5,8,7] => 6 [1,6,2,3,4,5,7,8] => 1 [1,2,3,6,4,5,7,8] => 1 [1,7,2,8,3,4,5,6] => 1 [1,7,8,2,3,4,5,6] => 1 [1,7,2,3,8,4,5,6] => 1 [7,1,2,3,4,8,5,6] => 7 [1,7,2,3,4,8,5,6] => 1 [1,2,3,7,4,8,5,6] => 1 [7,1,2,3,4,5,8,6] => 7 [1,7,2,3,4,5,8,6] => 1 [1,2,7,3,4,5,8,6] => 1 [1,7,2,3,4,5,6,8] => 1 [1,2,3,7,4,5,6,8] => 1 [1,8,2,3,4,5,6,7] => 1 [1,2,3,8,4,5,6,7] => 1 [1,2,3,4,5,8,6,7] => 1 [5,3,2,6,1,4,8,7] => 5 [7,3,2,5,4,8,1,6] => 7 [8,4,5,2,3,7,6,1] => 8 [7,4,5,2,3,8,1,6] => 7 [6,4,5,2,3,1,8,7] => 6 [5,4,6,2,1,3,8,7] => 5 [3,6,1,5,4,2,8,7] => 3 [4,6,5,1,3,2,8,7] => 4 [5,6,4,3,1,2,8,7] => 5 [7,5,4,3,2,8,1,6] => 7 [8,6,4,3,7,2,5,1] => 8 [7,6,4,3,8,2,1,5] => 7 [6,7,4,3,8,1,2,5] => 6 [5,7,4,3,1,8,2,6] => 5 [4,7,5,1,3,8,2,6] => 4 [3,7,1,5,4,8,2,6] => 3 [2,1,7,5,4,8,3,6] => 2 [3,8,1,5,4,7,6,2] => 3 [4,8,5,1,3,7,6,2] => 4 [5,8,4,3,1,7,6,2] => 5 [6,8,4,3,7,1,5,2] => 6 [7,8,4,3,6,5,1,2] => 7 [6,8,5,7,3,1,4,2] => 6 [5,8,6,7,1,3,4,2] => 5 [4,8,6,1,7,3,5,2] => 4 [3,8,1,6,7,4,5,2] => 3 [2,1,8,6,7,4,5,3] => 2 [2,1,7,6,8,4,3,5] => 2 [3,7,1,6,8,4,2,5] => 3 [4,7,6,1,8,3,2,5] => 4 [5,7,6,8,1,3,2,4] => 5 [5,4,7,2,1,8,3,6] => 5 [6,4,7,2,8,1,3,5] => 6 [7,4,6,2,8,3,1,5] => 7 [8,4,6,2,7,3,5,1] => 8 [8,3,2,6,7,4,5,1] => 8 [7,3,2,6,8,4,1,5] => 7 [6,3,2,7,8,1,4,5] => 6 [5,3,2,7,1,8,4,6] => 5 [4,3,2,1,7,8,5,6] => 4 [3,4,1,2,8,7,6,5] => 3 [5,3,2,8,1,7,6,4] => 5 [6,3,2,8,7,1,5,4] => 6 [7,3,2,8,6,5,1,4] => 7 [8,4,7,2,6,5,3,1] => 8 [7,4,8,2,6,5,1,3] => 7 [6,4,8,2,7,1,5,3] => 6 [5,4,8,2,1,7,6,3] => 5 [4,5,8,1,2,7,6,3] => 4 [3,5,1,8,2,7,6,4] => 3 [2,1,5,8,3,7,6,4] => 2 [2,1,6,8,7,3,5,4] => 2 [3,6,1,8,7,2,5,4] => 3 [4,6,8,1,7,2,5,3] => 4 [5,6,8,7,1,2,4,3] => 5 [6,5,8,7,2,1,4,3] => 6 [7,5,8,6,2,4,1,3] => 7 [8,5,7,6,2,4,3,1] => 8 [5,7,8,6,1,4,2,3] => 5 [4,7,8,1,6,5,2,3] => 4 [3,7,1,8,6,5,2,4] => 3 [2,1,7,8,6,5,3,4] => 2 [3,8,1,7,6,5,4,2] => 3 [4,8,7,1,6,5,3,2] => 4 [5,8,7,6,1,4,3,2] => 5 [6,8,7,5,4,1,3,2] => 6 [4,2,5,1,3,6,7,8] => 4 [5,2,6,7,1,3,4,8] => 5 [3,2,7,8,1,4,5,6] => 3 [5,3,2,6,1,4,7,8] => 5 [7,4,3,8,1,2,5,6] => 7 [4,7,3,6,8,1,2,5] => 4 [6,7,3,4,8,1,2,5] => 6 [5,4,2,7,8,1,3,6] => 5 [6,4,7,2,5,1,3,8] => 6 [6,4,3,2,7,1,5,8] => 6 [5,4,3,2,8,1,6,7] => 5 [7,5,3,8,2,6,1,4] => 7 [8,5,4,7,2,6,1,3] => 8 [8,5,4,7,3,6,1,2] => 8 [8,1,2,7,6,3,4,5] => 8 [8,1,4,2,6,3,5,7] => 8 [8,3,1,2,4,7,5,6] => 8 [8,3,1,5,6,2,4,7] => 8 [6,3,8,1,2,7,4,5] => 6 [7,8,4,1,6,2,3,5] => 7 [8,3,4,1,6,7,2,5] => 8 [2,7,6,5,1,3,8,4] => 2 [8,3,6,5,1,7,2,4] => 8 [4,6,7,3,8,5,1,2] => 4 [3,5,2,7,1,8,6,4] => 3 [4,6,7,2,8,1,5,3] => 4 [5,6,7,8,2,1,4,3] => 5 [6,5,8,7,3,4,1,2] => 6 [3,6,7,4,5,8,1,2] => 3 [2,6,7,4,5,1,8,3] => 2 [1,6,7,4,5,2,3,8] => 1 [1,5,4,7,6,2,3,8] => 1 [2,5,4,7,6,1,8,3] => 2 [3,5,4,7,6,8,1,2] => 3 [4,5,3,7,8,6,1,2] => 4 [5,4,3,8,7,6,1,2] => 5 [6,4,8,3,7,5,1,2] => 6 [6,3,8,4,5,7,1,2] => 6 [5,3,4,8,6,7,1,2] => 5 [4,3,5,6,8,7,1,2] => 4 [3,2,5,6,1,8,7,4] => 3 [4,2,5,6,8,1,7,3] => 4 [5,2,4,8,6,1,7,3] => 5 [6,2,8,4,5,1,7,3] => 6 [7,8,2,4,5,1,6,3] => 7 [7,8,1,4,5,2,3,6] => 7 [6,1,8,4,5,2,3,7] => 6 [5,1,4,8,6,2,3,7] => 5 [4,1,3,2,8,6,5,7] => 4 [5,1,3,8,2,6,4,7] => 5 [6,1,8,3,2,5,4,7] => 6 [7,8,1,3,2,5,4,6] => 7 [7,8,2,3,1,5,6,4] => 7 [6,2,8,3,1,5,7,4] => 6 [5,2,3,8,1,6,7,4] => 5 [6,3,8,2,1,7,5,4] => 6 [7,8,3,2,1,6,5,4] => 7 [7,8,4,2,6,1,5,3] => 7 [5,4,2,8,7,1,6,3] => 5 [4,5,2,7,8,1,6,3] => 4 [2,5,3,7,1,6,8,4] => 2 [1,5,3,7,2,6,4,8] => 1 [1,6,7,3,2,5,4,8] => 1 [2,6,7,3,1,5,8,4] => 2 [3,6,7,2,1,8,5,4] => 3 [7,8,5,6,2,1,4,3] => 7 [6,5,8,7,1,2,3,4] => 6 [5,4,1,8,7,2,3,6] => 5 [6,4,8,1,7,2,3,5] => 6 [7,8,3,1,2,6,4,5] => 7 [5,3,1,8,2,7,4,6] => 5 [4,3,1,2,8,7,5,6] => 4 [4,2,1,3,8,5,7,6] => 4 [5,2,1,8,3,4,7,6] => 5 [6,2,8,1,3,4,7,5] => 6 [7,8,2,1,3,4,6,5] => 7 [6,3,1,5,2,4,8,7] => 6 [2,1,8,5,3,7,4,6] => 2 [8,2,6,1,4,3,7,5] => 8 [4,7,1,5,8,3,2,6] => 4 [8,6,1,3,4,2,5,7] => 8 [8,1,2,4,5,6,3,7] => 8 [8,2,5,1,3,6,4,7] => 8 [4,1,5,3,7,2,8,6] => 4 [5,2,7,1,3,8,4,6] => 5 [5,3,1,7,8,2,4,6] => 5 [1,7,3,4,2,5,8,6] => 1 [4,7,2,1,3,5,8,6] => 4 [4,5,2,3,7,6,1,8] => 4 [6,4,3,7,2,5,1,8] => 6 [8,4,3,6,5,1,2,7] => 8 [1,5,6,3,4,8,7,2] => 1 [4,6,2,7,3,5,1,8] => 4 [3,2,6,7,4,5,1,8] => 3 [4,7,2,6,5,3,1,8] => 4 [5,7,6,2,4,3,1,8] => 5 [1,7,5,4,8,3,6,2] => 1 [8,7,5,4,1,3,2,6] => 8 [6,8,5,4,2,1,3,7] => 6 [5,8,6,2,4,1,3,7] => 5 [4,8,2,6,5,1,3,7] => 4 [3,2,8,6,5,1,4,7] => 3 [4,1,2,6,5,8,7,3] => 4 [5,1,6,2,4,8,7,3] => 5 [6,1,5,4,2,8,7,3] => 6 [7,1,5,4,8,2,6,3] => 7 [8,1,5,4,7,6,2,3] => 8 [1,8,6,7,4,5,3,2] => 1 [8,1,6,7,4,5,2,3] => 8 [7,1,6,8,4,2,5,3] => 7 [6,1,7,8,2,4,5,3] => 6 [5,1,7,2,8,4,6,3] => 5 [4,1,2,7,8,5,6,3] => 4 [3,2,1,7,8,5,6,4] => 3 [3,2,8,7,1,5,4,6] => 3 [4,8,2,7,1,5,3,6] => 4 [5,8,7,2,1,4,3,6] => 5 [6,8,7,1,2,4,3,5] => 6 [7,8,6,1,4,2,3,5] => 7 [8,7,6,1,4,3,2,5] => 8 [1,7,6,8,4,3,5,2] => 1 [1,6,7,8,3,4,5,2] => 1 [8,6,7,1,3,4,2,5] => 8 [7,6,8,1,3,2,4,5] => 7 [5,7,8,2,1,3,4,6] => 5 [4,7,2,8,1,3,5,6] => 4 [3,2,6,8,4,1,5,7] => 3 [4,6,2,8,3,1,5,7] => 4 [5,6,8,2,3,1,4,7] => 5 [6,5,8,3,2,1,4,7] => 6 [7,5,8,3,1,2,4,6] => 7 [8,5,7,3,1,4,2,6] => 8 [1,5,7,3,8,4,6,2] => 1 [1,4,3,7,8,5,6,2] => 1 [8,4,3,7,1,5,2,6] => 8 [6,4,3,8,2,1,5,7] => 6 [4,5,2,3,8,1,6,7] => 4 [3,2,5,4,8,1,6,7] => 3 [4,5,2,3,1,8,7,6] => 4 [6,4,3,1,2,8,7,5] => 6 [7,4,3,1,8,2,6,5] => 7 [8,4,3,1,7,6,2,5] => 8 [1,5,8,3,7,6,4,2] => 1 [8,5,1,3,7,6,2,4] => 8 [7,5,1,3,8,2,6,4] => 7 [6,5,1,3,2,8,7,4] => 6 [5,6,1,2,3,8,7,4] => 5 [4,6,2,1,3,8,7,5] => 4 [3,2,6,1,4,8,7,5] => 3 [3,2,7,1,8,4,6,5] => 3 [4,7,2,1,8,3,6,5] => 4 [5,7,1,2,8,3,6,4] => 5 [6,7,1,8,2,3,5,4] => 6 [7,6,1,8,3,2,5,4] => 7 [8,6,1,7,3,5,2,4] => 8 [1,6,8,7,3,5,4,2] => 1 [1,7,8,6,5,3,4,2] => 1 [8,7,1,6,5,3,2,4] => 8 [7,8,1,6,5,2,3,4] => 7 [6,8,1,7,2,5,3,4] => 6 [5,8,1,2,7,6,3,4] => 5 [4,8,2,1,7,6,3,5] => 4 [3,2,8,1,7,6,4,5] => 3 [4,1,2,8,7,6,5,3] => 4 [5,1,8,2,7,6,4,3] => 5 [6,1,8,7,2,5,4,3] => 6 [7,1,8,6,5,2,4,3] => 7 [8,1,7,6,5,4,2,3] => 8 [1,4,3,8,7,5,6,2] => 1 [4,1,2,8,7,5,6,3] => 4 [3,2,5,1,6,4,8,7] => 3 [3,2,5,4,7,1,8,6] => 3 [4,2,5,3,7,6,8,1] => 4 [4,2,5,3,7,1,8,6] => 4 [4,2,5,3,6,1,8,7] => 4 [4,2,5,1,6,3,8,7] => 4 [3,1,5,4,6,2,8,7] => 3 [4,1,5,3,6,2,8,7] => 4 [4,3,5,1,6,2,8,7] => 4 [4,3,5,2,7,1,8,6] => 4 [4,3,6,2,7,5,8,1] => 4 [4,3,6,2,7,1,8,5] => 4 [4,3,6,1,7,2,8,5] => 4 [4,3,5,1,7,2,8,6] => 4 [3,1,5,4,7,2,8,6] => 3 [2,1,5,4,7,3,8,6] => 2 [3,1,5,4,7,6,8,2] => 3 [4,1,5,3,7,6,8,2] => 4 [4,3,5,1,7,6,8,2] => 4 [4,3,6,1,7,5,8,2] => 4 [4,3,6,5,7,1,8,2] => 4 [5,3,6,4,7,2,8,1] => 5 [5,3,6,4,7,1,8,2] => 5 [5,3,6,1,7,4,8,2] => 5 [5,1,6,3,7,4,8,2] => 5 [4,1,6,3,7,5,8,2] => 4 [3,1,6,4,7,5,8,2] => 3 [2,1,6,4,7,5,8,3] => 2 [2,1,6,4,7,3,8,5] => 2 [3,1,6,4,7,2,8,5] => 3 [4,1,6,3,7,2,8,5] => 4 [5,1,6,3,7,2,8,4] => 5 [5,3,6,1,7,2,8,4] => 5 [5,3,6,2,7,1,8,4] => 5 [5,3,6,2,7,4,8,1] => 5 [5,2,6,3,7,4,8,1] => 5 [5,2,6,3,7,1,8,4] => 5 [5,2,6,1,7,3,8,4] => 5 [4,2,5,1,7,3,8,6] => 4 [4,2,6,1,7,3,8,5] => 4 [4,2,6,3,7,1,8,5] => 4 [4,2,6,3,7,5,8,1] => 4 [3,2,6,4,7,5,8,1] => 3 [3,2,6,4,7,1,8,5] => 3 [3,2,6,1,7,4,8,5] => 3 [3,2,5,1,7,4,8,6] => 3 [3,2,4,1,7,5,8,6] => 3 [3,1,4,2,7,6,8,5] => 3 [3,2,5,1,7,6,8,4] => 3 [3,2,6,1,7,5,8,4] => 3 [3,2,6,5,7,1,8,4] => 3 [4,2,6,5,7,3,8,1] => 4 [4,2,6,5,7,1,8,3] => 4 [4,2,6,1,7,5,8,3] => 4 [4,2,5,1,7,6,8,3] => 4 [4,1,5,2,7,6,8,3] => 4 [3,1,5,2,7,6,8,4] => 3 [2,1,5,3,7,6,8,4] => 2 [2,1,6,3,7,5,8,4] => 2 [3,1,6,2,7,5,8,4] => 3 [4,1,6,2,7,5,8,3] => 4 [5,1,6,2,7,4,8,3] => 5 [5,2,6,1,7,4,8,3] => 5 [5,2,6,4,7,1,8,3] => 5 [5,2,6,4,7,3,8,1] => 5 [5,4,6,2,7,3,8,1] => 5 [5,4,6,2,7,1,8,3] => 5 [5,4,6,1,7,2,8,3] => 5 [5,1,6,4,7,2,8,3] => 5 [4,1,6,5,7,2,8,3] => 4 [3,1,6,5,7,2,8,4] => 3 [2,1,6,5,7,3,8,4] => 2 [3,1,6,5,7,4,8,2] => 3 [4,1,6,5,7,3,8,2] => 4 [5,1,6,4,7,3,8,2] => 5 [5,4,6,1,7,3,8,2] => 5 [5,4,6,3,7,1,8,2] => 5 [8,3,5,2,1,6,4,7] => 8 [8,6,3,5,2,4,1,7] => 8 [3,7,5,2,4,1,8,6] => 3 [8,3,7,5,2,4,6,1] => 8 [8,2,4,5,7,3,6,1] => 8 [2,4,5,7,3,1,8,6] => 2 [8,2,4,6,5,3,1,7] => 8 [8,2,5,4,6,1,3,7] => 8 [8,6,3,5,1,4,2,7] => 8 [8,6,1,4,5,3,2,7] => 8 [8,1,5,6,4,3,2,7] => 8 [5,7,4,3,2,1,8,6] => 5 [8,5,7,4,3,2,6,1] => 8 [4,6,8,3,2,7,5,1] => 4 [4,7,6,3,2,8,1,5] => 4 [1,4,6,7,3,2,8,5] => 1 [5,4,7,3,1,8,2,6] => 5 [1,7,4,5,3,2,8,6] => 1 [3,7,5,1,4,2,8,6] => 3 [5,7,4,2,1,3,8,6] => 5 [8,5,7,4,2,1,6,3] => 8 [8,3,7,5,1,4,6,2] => 8 [8,4,1,7,5,3,6,2] => 8 [4,6,3,8,7,1,5,2] => 4 [1,7,4,8,6,3,5,2] => 1 [8,4,7,6,3,5,2,1] => 8 [3,6,5,8,7,4,1,2] => 3 [3,1,5,8,6,7,4,2] => 3 [4,8,1,6,7,3,5,2] => 4 [3,6,4,1,8,7,5,2] => 3 [8,2,6,1,4,7,5,3] => 8 [2,7,6,8,1,4,3,5] => 2 [3,7,1,6,4,8,2,5] => 3 [1,7,3,5,6,8,2,4] => 1 [1,3,6,7,5,8,2,4] => 1 [3,7,6,5,8,2,1,4] => 3 [3,6,8,5,7,2,4,1] => 3 [2,3,5,7,6,8,1,4] => 2 [2,1,6,5,7,8,3,4] => 2 [4,2,7,6,8,3,1,5] => 4 [4,2,6,8,7,3,5,1] => 4 [3,8,2,4,6,7,5,1] => 3 [3,7,2,6,4,8,1,5] => 3 [3,2,6,1,4,7,8,5] => 3 [5,3,7,2,1,8,4,6] => 5 [4,7,3,2,1,5,8,6] => 4 [8,7,6,1,3,4,2,5] => 8 [8,5,7,3,2,1,6,4] => 8 [8,3,6,7,2,1,5,4] => 8 [3,7,8,6,2,1,5,4] => 3 [8,7,6,3,5,2,4,1] => 8 [2,7,4,8,1,6,5,3] => 2 [4,6,8,2,1,7,5,3] => 4 [8,4,1,5,7,2,6,3] => 8 [8,5,3,7,1,6,2,4] => 8 [8,5,7,2,1,3,6,4] => 8 [8,2,6,7,1,3,5,4] => 8 [8,3,6,1,7,5,2,4] => 8 [4,6,1,8,7,2,5,3] => 4 [8,1,2,5,6,7,4,3] => 8 [8,2,6,5,7,4,1,3] => 8 [2,1,7,8,5,6,4,3] => 2 [8,2,5,7,6,4,3,1] => 8 [2,7,6,8,5,4,1,3] => 2 [1,7,2,5,8,6,4,3] => 1 [1,7,4,8,2,6,5,3] => 1 [3,7,8,1,6,5,2,4] => 3 [2,7,8,6,1,3,5,4] => 2 [8,7,6,3,5,1,4,2] => 8 [8,4,7,6,5,1,3,2] => 8 [8,7,1,5,6,4,3,2] => 8 [8,1,6,7,5,4,3,2] => 8 [5,4,3,6,1,2,8,7] => 5 [2,7,6,4,5,8,1,3] => 2 [5,7,3,6,1,8,2,4] => 5 [2,1,7,6,5,8,3,4] => 2 [6,4,3,5,8,1,7,2] => 6 [7,3,5,4,8,6,1,2] => 7 [5,4,3,2,7,1,8,6] => 5 [4,3,6,2,8,7,5,1] => 4 [4,3,7,6,2,1,8,5] => 4 [6,4,3,1,7,2,8,5] => 6 [4,3,7,1,8,6,5,2] => 4 [5,3,8,7,6,4,2,1] => 5 [7,5,3,1,8,6,4,2] => 7 [1,8,6,5,3,7,4,2] => 1 [6,1,7,5,3,2,8,4] => 6 [7,6,5,3,2,1,8,4] => 7 [6,5,3,2,8,7,4,1] => 6 [5,2,6,3,8,7,4,1] => 5 [5,2,7,6,3,1,8,4] => 5 [6,5,2,1,7,3,8,4] => 6 [5,2,7,1,8,6,4,3] => 5 [6,2,8,7,5,4,3,1] => 6 [7,6,2,1,8,5,4,3] => 7 [6,1,7,2,8,5,4,3] => 6 [7,1,8,6,5,4,3,2] => 7 [4,5,2,6,3,1,8,7] => 4 [6,5,2,1,4,3,8,7] => 6 [6,5,2,7,4,8,3,1] => 6 [8,5,2,7,4,1,6,3] => 8 [8,3,7,5,2,1,6,4] => 8 [6,3,7,5,2,8,4,1] => 6 [3,1,6,5,4,2,8,7] => 3 [5,6,3,2,4,1,8,7] => 5 [3,6,2,4,1,5,8,7] => 3 [2,6,1,3,5,4,8,7] => 2 [6,7,2,3,4,8,5,1] => 6 [8,7,2,3,4,1,6,5] => 8 [5,1,7,3,8,4,6,2] => 5 [2,5,7,3,8,6,4,1] => 2 [7,6,1,3,5,8,4,2] => 7 [3,6,7,4,1,8,5,2] => 3 [5,6,3,7,4,8,1,2] => 5 [2,1,6,7,4,8,5,3] => 2 [2,1,8,7,4,3,6,5] => 2 [5,8,3,7,4,2,6,1] => 5 [3,8,7,4,1,2,6,5] => 3 [7,8,1,3,5,2,6,4] => 7 [5,8,7,3,2,6,1,4] => 5 [2,8,6,3,1,5,7,4] => 2 [8,1,6,3,2,5,4,7] => 8 [2,8,4,1,6,3,7,5] => 2 [4,8,1,2,7,6,3,5] => 4 [3,8,4,2,5,7,1,6] => 3 [6,8,3,5,2,7,4,1] => 6 [2,1,5,3,8,7,6,4] => 2 [6,5,3,2,8,7,1,4] => 6 [7,5,2,4,8,1,6,3] => 7 [3,4,2,8,5,7,6,1] => 3 [2,4,1,8,7,6,5,3] => 2 [8,4,2,1,7,5,3,6] => 8 [4,3,1,8,6,7,5,2] => 4 [3,1,4,8,6,5,7,2] => 3 [7,1,6,5,4,8,2,3] => 7 [3,7,5,6,8,4,2,1] => 3 [5,7,1,6,8,2,4,3] => 5 [8,6,2,5,1,7,4,3] => 8 [5,6,2,1,8,7,3,4] => 5 [4,6,2,5,8,3,7,1] => 4 [7,5,2,6,3,8,1,4] => 7 [4,1,2,3,6,8,7,5] => 4 [2,4,3,1,8,5,6,7] => 2 [7,5,2,8,3,4,6,1] => 7 [5,6,2,8,4,3,1,7] => 5 [4,7,2,8,1,5,3,6] => 4 [8,7,2,1,4,5,6,3] => 8 [3,6,8,7,1,5,4,2] => 3 [5,7,8,6,3,4,1,2] => 5 [7,1,8,5,4,3,6,2] => 7 [2,7,8,4,5,3,6,1] => 2 [5,7,3,8,1,4,6,2] => 5 [2,1,7,8,5,4,6,3] => 2 [2,1,5,8,4,6,3,7] => 2 [6,5,3,8,4,1,2,7] => 6 [7,5,8,4,3,6,2,1] => 7 [2,4,8,3,5,6,1,7] => 2 [4,1,8,3,6,5,2,7] => 4 [3,4,8,1,7,2,5,6] => 3 [8,4,1,3,7,2,6,5] => 8 [3,1,8,2,4,7,6,5] => 3 [2,3,8,1,4,6,7,5] => 2 [4,3,8,2,5,1,7,6] => 4 [6,3,8,4,2,5,7,1] => 6 [7,4,3,8,2,5,1,6] => 7 [2,1,4,8,3,5,7,6] => 2 [6,8,2,4,3,5,1,7] => 6 [4,8,2,3,5,1,6,7] => 4 [3,8,2,1,4,6,5,7] => 3 [2,8,1,3,4,5,7,6] => 2 [7,1,6,8,4,3,2,5] => 7 [7,1,6,5,8,3,2,4] => 7 [3,7,6,1,4,8,2,5] => 3 [2,7,8,4,1,6,5,3] => 2 [3,6,4,5,7,2,8,1] => 3 [1,8,2,7,3,4,5,6] => 1 [3,2,1,5,8,4,6,7] => 3 [5,4,3,2,1,8,6,7] => 5 [1,8,2,4,3,5,6,7] => 1 [1,7,2,4,3,5,6,8] => 1 [1,6,2,4,3,5,7,8] => 1 [1,5,2,4,3,6,7,8] => 1 [1,6,2,5,3,4,7,8] => 1 [1,7,2,5,3,4,6,8] => 1 [1,8,2,5,3,4,6,7] => 1 [1,8,2,6,3,4,5,7] => 1 [1,7,2,6,3,4,5,8] => 1 [1,8,2,7,3,5,4,6] => 1 [1,7,2,8,3,5,4,6] => 1 [1,6,2,8,3,5,4,7] => 1 [1,5,2,8,3,6,4,7] => 1 [1,4,2,8,3,6,5,7] => 1 [1,3,2,8,4,6,5,7] => 1 [1,2,3,8,4,6,5,7] => 1 [1,2,3,7,4,6,5,8] => 1 [1,3,2,7,4,6,5,8] => 1 [1,4,2,7,3,6,5,8] => 1 [1,5,2,7,3,6,4,8] => 1 [1,6,2,7,3,5,4,8] => 1 [1,7,2,6,3,5,4,8] => 1 [1,8,2,6,3,5,4,7] => 1 [1,8,2,5,3,6,4,7] => 1 [1,7,2,5,3,6,4,8] => 1 [1,6,2,5,3,7,4,8] => 1 [1,5,2,4,3,7,6,8] => 1 [1,6,2,4,3,7,5,8] => 1 [1,7,2,4,3,6,5,8] => 1 [1,8,2,4,3,6,5,7] => 1 [1,8,2,3,4,6,5,7] => 1 [1,7,2,3,4,6,5,8] => 1 [1,8,2,3,4,7,5,6] => 1 [1,8,2,4,3,7,5,6] => 1 [1,7,2,4,3,8,5,6] => 1 [1,6,2,4,3,8,5,7] => 1 [1,5,2,4,3,8,6,7] => 1 [1,6,2,5,3,8,4,7] => 1 [1,7,2,5,3,8,4,6] => 1 [1,8,2,5,3,7,4,6] => 1 [1,8,2,6,3,7,4,5] => 1 [1,7,2,6,3,8,4,5] => 1 [1,2,3,8,4,7,5,6] => 1 [1,3,2,8,4,7,5,6] => 1 [1,4,2,8,3,7,5,6] => 1 [1,5,2,8,3,7,4,6] => 1 [1,6,2,8,3,7,4,5] => 1 [1,7,2,8,3,6,4,5] => 1 [1,8,2,7,3,6,4,5] => 1 [6,7,8,1,4,3,2,5] => 6 [2,8,4,1,6,7,5,3] => 2 [4,8,5,7,1,6,2,3] => 4 [8,7,6,5,2,1,4,3] => 8 [8,3,1,5,4,7,2,6] => 8 [8,7,6,5,1,4,2,3] => 8 [7,5,1,3,8,4,2,6] => 7 [7,6,1,4,8,3,2,5] => 7 [7,1,3,5,8,2,4,6] => 7 [7,5,3,6,4,2,8,1] => 7 [8,2,6,3,4,7,5,1] => 8 [7,2,6,3,5,4,8,1] => 7 [6,2,7,4,3,5,8,1] => 6 [3,7,6,4,5,2,8,1] => 3 [2,7,6,5,3,4,8,1] => 2 [8,6,5,4,2,7,3,1] => 8 [6,5,8,4,2,7,3,1] => 6 [1,8,6,3,7,5,2,4] => 1 [8,7,5,2,6,4,3,1] => 8 [8,7,1,6,2,5,4,3] => 8 [1,7,2,8,5,3,4,6] => 1 [7,6,1,8,4,3,2,5] => 7 [8,6,1,7,4,2,5,3] => 8 [8,1,2,7,3,4,6,5] => 8 [7,1,2,8,3,5,4,6] => 7 [8,2,6,1,7,3,5,4] => 8 [4,7,5,6,8,3,2,1] => 4 [8,6,4,7,5,3,2,1] => 8 [5,4,8,1,7,2,6,3] => 5 [2,3,8,7,4,5,6,1] => 2 [7,2,8,6,4,3,5,1] => 7 [8,2,7,6,3,5,4,1] => 8 [8,1,7,6,5,2,4,3] => 8 [7,1,8,6,5,3,2,4] => 7 [1,2,8,7,6,3,4,5] => 1 [3,8,7,6,4,5,2,1] => 3 [2,8,7,6,5,3,4,1] => 2 [1,8,7,6,5,4,2,3] => 1 [3,8,6,7,1,5,2,4] => 3 [5,4,7,1,3,8,2,6] => 5 [5,6,2,1,4,8,3,7] => 5 [2,1,8,4,7,5,6,3] => 2 [4,1,3,2,8,5,6,7] => 4 [3,2,1,4,8,5,6,7] => 3 [1,8,4,2,5,3,6,7] => 1 [8,1,5,3,2,4,6,7] => 8 [3,8,1,5,2,4,6,7] => 3 [1,6,7,2,8,4,3,5] => 1 [6,7,1,4,2,8,3,5] => 6 [6,3,7,1,4,8,2,5] => 6 [3,7,8,1,5,2,4,6] => 3 [7,1,2,8,5,3,4,6] => 7 [1,7,2,8,4,5,3,6] => 1 [1,2,7,5,8,3,4,6] => 1 [2,8,1,7,4,3,6,5] => 2 [4,2,6,5,8,3,7,1] => 4 [5,2,4,7,3,6,8,1] => 5 [5,1,2,4,8,3,6,7] => 5 [4,3,6,1,5,8,2,7] => 4 [2,6,1,4,5,8,3,7] => 2 [2,5,3,4,1,8,6,7] => 2 [4,3,5,2,1,8,6,7] => 4 [3,1,6,7,5,8,2,4] => 3 [2,8,1,7,5,6,3,4] => 2 [5,3,6,8,4,7,2,1] => 5 [3,7,2,5,4,8,6,1] => 3 [8,4,2,5,7,3,6,1] => 8 [4,7,2,5,8,3,6,1] => 4 [5,2,6,8,4,3,7,1] => 5 [3,1,6,5,4,8,2,7] => 3 [4,1,6,5,8,3,2,7] => 4 [5,1,6,8,4,3,2,7] => 5 [8,5,4,7,6,3,2,1] => 8 [5,7,1,8,4,3,2,6] => 5 [2,7,1,5,4,3,8,6] => 2 [8,2,1,5,4,3,7,6] => 8 [8,4,1,5,7,3,2,6] => 8 [8,5,6,7,1,3,2,4] => 8 [8,4,6,1,7,3,2,5] => 8 [8,3,6,1,4,7,2,5] => 8 [2,7,6,1,4,3,8,5] => 2 [6,7,8,5,1,3,2,4] => 6 [5,7,6,8,2,3,4,1] => 5 [5,7,2,8,4,3,6,1] => 5 [6,7,8,2,4,3,5,1] => 6 [4,7,6,2,8,3,5,1] => 4 [8,3,6,2,4,7,5,1] => 8 [3,7,6,2,4,8,5,1] => 3 [5,7,3,8,4,6,2,1] => 5 [4,7,3,5,8,6,2,1] => 4 [8,7,2,1,4,3,6,5] => 8 [8,7,3,1,4,6,2,5] => 8 [8,7,6,3,2,5,4,1] => 8 [8,7,3,5,1,6,2,4] => 8 [8,7,2,5,1,3,6,4] => 8 [8,2,6,5,1,3,7,4] => 8 [8,4,6,5,7,1,2,3] => 8 [5,7,6,8,4,1,2,3] => 5 [4,7,6,5,8,1,2,3] => 4 [3,7,6,5,1,8,2,4] => 3 [2,6,5,7,3,4,8,1] => 2 [1,6,4,7,5,8,2,3] => 1 [8,5,3,6,2,7,4,1] => 8 [1,3,7,4,6,8,2,5] => 1 [4,7,5,6,3,2,8,1] => 4 [1,7,6,5,4,8,2,3] => 1 [8,1,6,5,7,2,4,3] => 8 [1,2,7,6,8,3,4,5] => 1 [6,1,7,5,3,8,2,4] => 6 [2,1,7,5,6,8,3,4] => 2 [5,4,1,7,6,8,2,3] => 5 [4,8,5,6,2,7,3,1] => 4 [3,8,6,4,2,7,5,1] => 3 [7,8,5,2,4,6,3,1] => 7 [2,8,6,3,7,4,5,1] => 2 [7,8,1,6,2,4,5,3] => 7 [6,8,1,4,7,2,5,3] => 6 [3,8,4,1,7,2,6,5] => 3 [5,4,7,1,8,3,2,6] => 5 [3,7,4,1,8,5,2,6] => 3 [6,7,1,4,8,3,2,5] => 6 [2,7,1,8,4,5,3,6] => 2 [6,1,2,8,4,3,5,7] => 6 [6,5,1,4,3,8,2,7] => 6 [1,6,2,5,8,3,4,7] => 1 [8,5,1,3,7,2,6,4] => 8 [8,4,2,1,7,3,6,5] => 8 [7,4,2,1,8,5,3,6] => 7 [1,5,4,2,8,3,6,7] => 1 [6,4,3,1,5,8,2,7] => 6 [3,7,6,8,4,5,2,1] => 3 [2,7,6,8,5,3,4,1] => 2 [1,7,6,8,5,4,2,3] => 1 [1,4,8,6,7,5,2,3] => 1 [2,4,8,6,7,3,5,1] => 2 [7,3,8,5,4,6,2,1] => 7 [3,4,8,5,6,7,2,1] => 3 [6,3,5,8,4,7,2,1] => 6 [5,4,3,8,6,7,2,1] => 5 [5,4,2,8,7,3,6,1] => 5 [6,2,5,8,7,3,4,1] => 6 [3,2,8,5,7,4,6,1] => 3 [1,3,8,7,5,6,2,4] => 1 [2,1,8,7,4,6,3,5] => 2 [3,1,8,5,7,6,2,4] => 3 [6,1,5,8,7,4,2,3] => 6 [5,4,1,8,7,6,2,3] => 5 [5,8,6,7,4,3,2,1] => 5 [4,8,7,5,6,3,2,1] => 4 [2,8,3,1,5,4,6,7] => 2 [2,5,3,4,7,1,8,6] => 2 [2,4,8,3,5,7,6,1] => 2 [4,2,5,3,1,8,6,7] => 4 [4,2,1,8,5,3,6,7] => 4 [5,4,1,3,8,2,6,7] => 5 [5,1,4,8,3,2,6,7] => 5 [1,5,8,4,3,2,6,7] => 1 [1,8,5,4,3,2,6,7] => 1 [1,7,4,3,8,5,2,6] => 1 [1,5,7,3,8,4,2,6] => 1 [5,1,4,7,8,3,2,6] => 5 [4,8,1,5,7,3,6,2] => 4 [8,1,5,3,7,4,6,2] => 8 [3,8,4,7,6,5,2,1] => 3 [1,6,8,5,3,7,4,2] => 1 [6,8,1,7,4,3,5,2] => 6 [6,4,8,1,7,3,5,2] => 6 [6,4,8,7,1,5,2,3] => 6 [7,6,4,1,3,8,2,5] => 7 [1,7,5,6,3,2,8,4] => 1 [4,2,1,7,8,5,3,6] => 4 [2,7,4,6,3,1,8,5] => 2 [2,6,8,4,3,7,5,1] => 2 [6,2,4,8,3,7,5,1] => 6 [7,2,6,3,4,1,8,5] => 7 [2,6,7,3,1,4,8,5] => 2 [2,7,1,8,3,5,4,6] => 2 [2,1,7,3,5,8,4,6] => 2 [8,7,1,3,6,2,4,5] => 8 [8,2,1,7,3,5,6,4] => 8 [7,8,2,6,3,1,5,4] => 7 [8,7,2,6,3,5,4,1] => 8 [1,2,8,7,4,5,6,3] => 1 [8,3,7,1,5,6,2,4] => 8 [8,6,1,2,7,5,3,4] => 8 [8,1,6,2,7,4,5,3] => 8 [1,8,5,2,6,7,4,3] => 1 [5,2,1,8,6,7,4,3] => 5 [2,8,5,7,6,4,3,1] => 2 [1,7,8,5,2,6,4,3] => 1 [7,8,1,6,4,2,5,3] => 7 [7,8,6,1,5,3,2,4] => 7 [7,3,8,6,1,5,2,4] => 7 [8,7,6,1,5,3,4,2] => 8 [8,7,1,6,4,5,3,2] => 8 [8,1,7,5,6,4,3,2] => 8 [1,8,6,7,5,4,3,2] => 1 [9,1,2,3,4,5,6,7,8] => 9 [8,1,2,3,4,5,6,9,7] => 8 [2,9,1,3,4,5,6,7,8] => 2 [9,3,1,2,4,5,6,7,8] => 9 [8,9,1,2,3,4,5,6,7] => 8 [9,7,8,1,2,3,4,5,6] => 9 [2,3,4,5,6,7,9,1,8] => 2 [2,3,4,5,6,7,8,9,1] => 2 [2,3,4,5,6,7,8,1,9] => 2 [2,3,4,5,6,7,1,8,9] => 2 [1,2,3,4,5,6,7,9,8] => 1 [2,1,3,4,5,6,7,8,9] => 2 [1,8,2,3,4,5,6,9,7] => 1 [7,1,2,3,4,5,6,9,8] => 7 [2,1,9,3,4,5,6,7,8] => 2 [2,8,1,3,4,5,6,7,9] => 2 [1,2,3,4,5,6,7,8,9] => 1 [3,2,4,5,6,7,8,9,1] => 3 [9,8,7,6,5,4,3,2,1] => 9 [8,7,6,5,4,3,2,1,9] => 8 [1,9,8,7,6,5,4,3,2] => 1 [8,7,6,4,5,3,2,1,9] => 8 [1,9,8,7,5,6,4,3,2] => 1 [8,7,5,4,6,3,2,1,9] => 8 [8,7,4,6,5,3,2,1,9] => 8 [1,9,8,6,5,7,4,3,2] => 1 [1,9,8,5,7,6,4,3,2] => 1 [9,2,1,3,4,5,6,7,8] => 9 [9,2,3,1,4,5,6,7,8] => 9 [4,2,3,5,6,7,8,9,1] => 4 [3,4,2,5,6,7,8,9,1] => 3 [9,8,1,2,3,4,5,6,7] => 9 [7,8,9,1,2,3,4,5,6] => 7 [9,8,7,1,2,3,4,5,6] => 9 [6,7,8,9,1,2,3,4,5] => 6 [9,6,7,8,1,2,3,4,5] => 9 [8,9,6,7,1,2,3,4,5] => 8 [9,8,6,7,1,2,3,4,5] => 9 [9,8,7,6,1,2,3,4,5] => 9 [9,5,6,7,8,1,2,3,4] => 9 [8,9,5,6,7,1,2,3,4] => 8 [9,8,5,6,7,1,2,3,4] => 9 [9,7,8,5,6,1,2,3,4] => 9 [9,8,7,5,6,1,2,3,4] => 9 [9,8,7,6,5,1,2,3,4] => 9 [7,8,9,4,5,6,1,2,3] => 7 [9,7,8,4,5,6,1,2,3] => 9 [9,8,7,4,5,6,1,2,3] => 9 [8,9,6,7,4,5,1,2,3] => 8 [9,8,6,7,4,5,1,2,3] => 9 [9,8,7,6,4,5,1,2,3] => 9 [9,8,7,6,5,4,1,2,3] => 9 [9,7,8,5,6,3,4,1,2] => 9 [9,8,7,5,6,3,4,1,2] => 9 [9,8,7,6,5,3,4,1,2] => 9 [9,8,7,6,5,4,3,1,2] => 9 [7,8,6,5,4,3,2,1,9] => 7 [1,8,9,7,6,5,4,3,2] => 1 [7,6,8,5,4,3,2,1,9] => 7 [6,8,7,5,4,3,2,1,9] => 6 [1,8,7,9,6,5,4,3,2] => 1 [1,7,9,8,6,5,4,3,2] => 1 [8,1,2,3,4,5,6,7,9] => 8 [1,9,2,3,4,5,6,7,8] => 1 [7,8,1,2,3,4,5,6,9] => 7 [1,8,9,2,3,4,5,6,7] => 1 [7,1,8,2,3,4,5,6,9] => 7 [6,8,1,2,3,4,5,7,9] => 6 [1,8,2,9,3,4,5,6,7] => 1 [1,7,9,2,3,4,5,6,8] => 1 [7,1,2,3,4,5,6,8,9] => 7 [3,4,1,2,5,6,7,8,9] => 3 [3,2,1,4,5,6,7,8,9] => 3 [4,5,6,1,2,3,7,8,9] => 4 [4,2,5,1,3,6,7,8,9] => 4 [4,3,2,1,5,6,7,8,9] => 4 [5,6,7,8,1,2,3,4,9] => 5 [5,2,6,7,1,3,4,8,9] => 5 [5,6,3,4,1,2,7,8,9] => 5 [5,3,2,6,1,4,7,8,9] => 5 [5,4,3,2,1,6,7,8,9] => 5 [6,2,7,8,9,1,3,4,5] => 6 [6,7,3,4,8,1,2,5,9] => 6 [6,3,2,7,8,1,4,5,9] => 6 [6,4,7,2,5,1,3,8,9] => 6 [6,4,3,2,7,1,5,8,9] => 6 [6,5,4,3,2,1,7,8,9] => 6 [7,4,8,2,5,9,1,3,6] => 7 [7,4,3,2,8,9,1,5,6] => 7 [7,8,5,6,3,4,1,2,9] => 7 [7,5,3,8,2,6,1,4,9] => 7 [7,5,4,3,2,8,1,6,9] => 7 [7,6,5,4,3,2,1,8,9] => 7 [8,6,9,4,7,2,5,1,3] => 8 [8,6,4,3,9,2,7,1,5] => 8 [8,6,5,4,3,2,9,1,7] => 8 [2,1,4,3,6,5,8,7,10,9] => 2 [4,3,2,1,6,5,8,7,10,9] => 4 [6,3,2,5,4,1,8,7,10,9] => 6 [8,3,2,5,4,7,6,1,10,9] => 8 [10,3,2,5,4,7,6,9,8,1] => 10 [2,1,6,5,4,3,8,7,10,9] => 2 [6,5,4,3,2,1,8,7,10,9] => 6 [8,5,4,3,2,7,6,1,10,9] => 8 [10,5,4,3,2,7,6,9,8,1] => 10 [2,1,8,5,4,7,6,3,10,9] => 2 [8,7,4,3,6,5,2,1,10,9] => 8 [10,7,4,3,6,5,2,9,8,1] => 10 [2,1,10,5,4,7,6,9,8,3] => 2 [10,9,4,3,6,5,8,7,2,1] => 10 [8,9,5,6,3,4,10,1,2,7] => 8 [2,1,4,3,8,7,6,5,10,9] => 2 [4,3,2,1,8,7,6,5,10,9] => 4 [8,3,2,7,6,5,4,1,10,9] => 8 [10,3,2,7,6,5,4,9,8,1] => 10 [2,1,8,7,6,5,4,3,10,9] => 2 [8,7,6,5,4,3,2,1,10,9] => 8 [9,7,6,5,4,3,2,10,1,8] => 9 [10,7,6,5,4,3,2,9,8,1] => 10 [2,1,10,7,6,5,4,9,8,3] => 2 [10,9,6,5,4,3,8,7,2,1] => 10 [2,1,4,3,10,7,6,9,8,5] => 2 [4,3,2,1,10,7,6,9,8,5] => 4 [10,3,2,9,6,5,8,7,4,1] => 10 [2,1,10,9,6,5,8,7,4,3] => 2 [10,9,8,5,4,7,6,3,2,1] => 10 [6,7,8,9,10,1,2,3,4,5] => 6 [7,3,2,8,9,10,1,4,5,6] => 7 [8,5,4,3,2,9,10,1,6,7] => 8 [2,1,4,3,6,5,10,9,8,7] => 2 [4,3,2,1,6,5,10,9,8,7] => 4 [6,3,2,5,4,1,10,9,8,7] => 6 [10,3,2,5,4,9,8,7,6,1] => 10 [2,1,6,5,4,3,10,9,8,7] => 2 [6,5,4,3,2,1,10,9,8,7] => 6 [10,5,4,3,2,9,8,7,6,1] => 10 [2,1,10,5,4,9,8,7,6,3] => 2 [10,9,4,3,8,7,6,5,2,1] => 10 [9,7,5,10,3,8,2,6,1,4] => 9 [2,1,4,3,10,9,8,7,6,5] => 2 [4,3,2,1,10,9,8,7,6,5] => 4 [10,3,2,9,8,7,6,5,4,1] => 10 [2,1,10,9,8,7,6,5,4,3] => 2 [10,9,8,7,6,5,4,3,2,1] => 10 [2,3,4,5,6,7,8,9,10,1] => 2 [2,3,4,5,6,7,8,9,1,10] => 2 [10,8,9,5,6,7,1,2,3,4] => 10 [10,8,9,4,5,6,1,2,3,7] => 10 [10,7,8,5,6,9,1,2,3,4] => 10 [10,7,8,4,5,9,1,2,3,6] => 10 [10,6,7,4,5,8,1,2,3,9] => 10 [10,7,8,3,4,9,1,2,5,6] => 10 [10,6,7,3,4,8,1,2,5,9] => 10 [9,8,10,5,6,7,1,2,3,4] => 9 [9,8,10,4,5,6,1,2,3,7] => 9 [9,7,10,5,6,8,1,2,3,4] => 9 [9,7,10,4,5,8,1,2,3,6] => 9 [9,6,10,4,5,7,1,2,3,8] => 9 [9,7,10,3,4,8,1,2,5,6] => 9 [9,6,10,3,4,7,1,2,5,8] => 9 [8,7,9,5,6,10,1,2,3,4] => 8 [8,7,9,4,5,10,1,2,3,6] => 8 [8,6,9,4,5,10,1,2,3,7] => 8 [7,6,8,4,5,9,1,2,3,10] => 7 [8,7,9,3,4,10,1,2,5,6] => 8 [8,6,9,3,4,10,1,2,5,7] => 8 [7,6,8,3,4,9,1,2,5,10] => 7 [9,6,10,5,7,8,1,2,3,4] => 9 [9,6,10,4,7,8,1,2,3,5] => 9 [9,5,10,4,6,7,1,2,3,8] => 9 [9,6,10,3,7,8,1,2,4,5] => 9 [9,5,10,3,6,7,1,2,4,8] => 9 [8,6,9,5,7,10,1,2,3,4] => 8 [8,6,9,4,7,10,1,2,3,5] => 8 [8,5,9,4,6,10,1,2,3,7] => 8 [7,5,8,4,6,9,1,2,3,10] => 7 [8,6,9,3,7,10,1,2,4,5] => 8 [8,5,9,3,6,10,1,2,4,7] => 8 [7,5,8,3,6,9,1,2,4,10] => 7 [8,4,9,3,5,10,1,2,6,7] => 8 [7,4,8,3,5,9,1,2,6,10] => 7 [9,6,10,2,7,8,1,3,4,5] => 9 [9,5,10,2,6,7,1,3,4,8] => 9 [8,6,9,2,7,10,1,3,4,5] => 8 [8,5,9,2,6,10,1,3,4,7] => 8 [7,5,8,2,6,9,1,3,4,10] => 7 [8,4,9,2,5,10,1,3,6,7] => 8 [7,4,8,2,5,9,1,3,6,10] => 7 [1,2,3,4,5,6,7,8,10,9] => 1 [2,1,3,4,5,6,7,8,9,10] => 2 [9,1,2,3,4,5,6,7,10,8] => 9 [2,10,1,3,4,5,6,7,8,9] => 2 [1,2,3,4,5,6,7,8,9,10] => 1 [9,8,7,6,5,4,3,2,1,10] => 9 [10,1,2,3,4,5,6,7,8,9] => 10 [10,9,1,2,3,4,5,6,7,8] => 10 [1,10,9,8,7,6,5,4,3,2] => 1 [9,8,7,5,6,4,3,2,1,10] => 9 [1,10,9,8,6,7,5,4,3,2] => 1 [10,2,1,3,4,5,6,7,8,9] => 10 [3,2,4,5,6,7,8,9,10,1] => 3 [2,4,6,8,10,1,3,5,7,9] => 2 [2,4,6,9,10,1,3,5,7,8] => 2 [2,4,7,8,10,1,3,5,6,9] => 2 [2,4,7,9,10,1,3,5,6,8] => 2 [2,4,8,9,10,1,3,5,6,7] => 2 [2,5,6,8,10,1,3,4,7,9] => 2 [2,5,6,9,10,1,3,4,7,8] => 2 [2,5,7,8,10,1,3,4,6,9] => 2 [2,5,7,9,10,1,3,4,6,8] => 2 [2,5,8,9,10,1,3,4,6,7] => 2 [2,6,7,8,10,1,3,4,5,9] => 2 [2,6,7,9,10,1,3,4,5,8] => 2 [2,6,8,9,10,1,3,4,5,7] => 2 [2,7,8,9,10,1,3,4,5,6] => 2 [3,4,6,8,10,1,2,5,7,9] => 3 [3,4,6,9,10,1,2,5,7,8] => 3 [3,4,7,8,10,1,2,5,6,9] => 3 [3,4,7,9,10,1,2,5,6,8] => 3 [3,4,8,9,10,1,2,5,6,7] => 3 [3,5,6,8,10,1,2,4,7,9] => 3 [3,5,6,9,10,1,2,4,7,8] => 3 [3,5,7,8,10,1,2,4,6,9] => 3 [3,5,7,9,10,1,2,4,6,8] => 3 [3,5,8,9,10,1,2,4,6,7] => 3 [3,6,7,8,10,1,2,4,5,9] => 3 [3,6,7,9,10,1,2,4,5,8] => 3 [3,6,8,9,10,1,2,4,5,7] => 3 [3,7,8,9,10,1,2,4,5,6] => 3 [4,5,6,8,10,1,2,3,7,9] => 4 [4,5,6,9,10,1,2,3,7,8] => 4 [4,5,7,8,10,1,2,3,6,9] => 4 [4,5,7,9,10,1,2,3,6,8] => 4 [4,5,8,9,10,1,2,3,6,7] => 4 [4,6,7,8,10,1,2,3,5,9] => 4 [4,6,7,9,10,1,2,3,5,8] => 4 [4,6,8,9,10,1,2,3,5,7] => 4 [4,7,8,9,10,1,2,3,5,6] => 4 [5,6,7,8,10,1,2,3,4,9] => 5 [5,6,7,9,10,1,2,3,4,8] => 5 [5,6,8,9,10,1,2,3,4,7] => 5 [5,7,8,9,10,1,2,3,4,6] => 5 [9,10,1,2,3,4,5,6,7,8] => 9 [8,9,10,1,2,3,4,5,6,7] => 8 [10,8,9,1,2,3,4,5,6,7] => 10 [10,9,8,1,2,3,4,5,6,7] => 10 [7,8,9,10,1,2,3,4,5,6] => 7 [10,7,8,9,1,2,3,4,5,6] => 10 [9,10,7,8,1,2,3,4,5,6] => 9 [10,9,7,8,1,2,3,4,5,6] => 10 [10,9,8,7,1,2,3,4,5,6] => 10 [10,6,7,8,9,1,2,3,4,5] => 10 [9,10,6,7,8,1,2,3,4,5] => 9 [10,9,6,7,8,1,2,3,4,5] => 10 [10,8,9,6,7,1,2,3,4,5] => 10 [10,9,8,6,7,1,2,3,4,5] => 10 [10,9,8,7,6,1,2,3,4,5] => 10 [9,10,5,6,7,8,1,2,3,4] => 9 [10,9,5,6,7,8,1,2,3,4] => 10 [8,9,10,5,6,7,1,2,3,4] => 8 [10,9,8,5,6,7,1,2,3,4] => 10 [9,10,7,8,5,6,1,2,3,4] => 9 [10,9,7,8,5,6,1,2,3,4] => 10 [10,9,8,7,5,6,1,2,3,4] => 10 [10,9,8,7,6,5,1,2,3,4] => 10 [10,7,8,9,4,5,6,1,2,3] => 10 [9,10,7,8,4,5,6,1,2,3] => 9 [10,9,7,8,4,5,6,1,2,3] => 10 [10,9,8,7,4,5,6,1,2,3] => 10 [10,8,9,6,7,4,5,1,2,3] => 10 [10,9,8,6,7,4,5,1,2,3] => 10 [10,9,8,7,6,4,5,1,2,3] => 10 [10,9,8,7,6,5,4,1,2,3] => 10 [9,10,7,8,5,6,3,4,1,2] => 9 [10,9,7,8,5,6,3,4,1,2] => 10 [10,9,8,7,5,6,3,4,1,2] => 10 [10,9,8,7,6,5,3,4,1,2] => 10 [10,9,8,7,6,5,4,3,1,2] => 10 [8,9,7,6,5,4,3,2,1,10] => 8 [1,9,10,8,7,6,5,4,3,2] => 1 [9,1,2,3,4,5,6,7,8,10] => 9 [1,10,2,3,4,5,6,7,8,9] => 1 [8,9,1,2,3,4,5,6,7,10] => 8 [1,9,10,2,3,4,5,6,7,8] => 1 [3,4,1,2,5,6,7,8,9,10] => 3 [3,2,1,4,5,6,7,8,9,10] => 3 [4,5,6,1,2,3,7,8,9,10] => 4 [4,2,5,1,3,6,7,8,9,10] => 4 [4,3,2,1,5,6,7,8,9,10] => 4 [5,6,7,8,1,2,3,4,9,10] => 5 [5,2,6,7,1,3,4,8,9,10] => 5 [5,6,3,4,1,2,7,8,9,10] => 5 [5,3,2,6,1,4,7,8,9,10] => 5 [5,4,3,2,1,6,7,8,9,10] => 5 [6,2,7,8,9,1,3,4,5,10] => 6 [6,7,3,4,8,1,2,5,9,10] => 6 [6,3,2,7,8,1,4,5,9,10] => 6 [6,4,7,2,5,1,3,8,9,10] => 6 [6,4,3,2,7,1,5,8,9,10] => 6 [6,5,4,3,2,1,7,8,9,10] => 6 [7,8,3,4,9,10,1,2,5,6] => 7 [7,8,9,4,5,6,1,2,3,10] => 7 [7,4,3,2,8,9,1,5,6,10] => 7 [7,8,5,6,3,4,1,2,9,10] => 7 [7,5,3,8,2,6,1,4,9,10] => 7 [7,5,4,3,2,8,1,6,9,10] => 7 [7,6,5,4,3,2,1,8,9,10] => 7 [8,5,9,10,2,6,7,1,3,4] => 8 [8,5,3,9,2,6,10,1,4,7] => 8 [8,6,9,4,7,2,5,1,3,10] => 8 [8,6,4,3,9,2,7,1,5,10] => 8 [8,6,5,4,3,2,9,1,7,10] => 8 [8,7,6,5,4,3,2,1,9,10] => 8 [9,7,5,4,3,10,2,8,1,6] => 9 [1,2,3,4,5,6,7,8,9,11,10] => 1 [2,1,3,4,5,6,7,8,9,10,11] => 2 [11,1,2,3,4,5,6,7,8,9,10] => 11 [10,9,8,7,6,5,4,3,2,1,11] => 10 [1,11,10,9,8,7,6,5,4,3,2] => 1 [2,3,4,5,6,7,8,9,10,11,1] => 2 [10,1,2,3,4,5,6,7,8,9,11] => 10 [1,11,2,3,4,5,6,7,8,9,10] => 1 [2,1,4,3,6,5,8,7,10,9,12,11] => 2 [2,1,4,3,6,5,8,7,12,11,10,9] => 2 [2,1,4,3,6,5,10,9,8,7,12,11] => 2 [2,1,4,3,6,5,12,9,8,11,10,7] => 2 [2,1,4,3,6,5,12,11,10,9,8,7] => 2 [2,1,4,3,8,7,6,5,10,9,12,11] => 2 [2,1,4,3,8,7,6,5,12,11,10,9] => 2 [2,1,4,3,10,7,6,9,8,5,12,11] => 2 [2,1,4,3,12,7,6,9,8,11,10,5] => 2 [2,1,4,3,12,7,6,11,10,9,8,5] => 2 [2,1,4,3,10,9,8,7,6,5,12,11] => 2 [2,1,4,3,12,9,8,7,6,11,10,5] => 2 [2,1,4,3,12,11,8,7,10,9,6,5] => 2 [2,1,4,3,12,11,10,9,8,7,6,5] => 2 [2,1,6,5,4,3,8,7,10,9,12,11] => 2 [2,1,6,5,4,3,8,7,12,11,10,9] => 2 [2,1,6,5,4,3,10,9,8,7,12,11] => 2 [2,1,6,5,4,3,12,9,8,11,10,7] => 2 [2,1,6,5,4,3,12,11,10,9,8,7] => 2 [2,1,8,5,4,7,6,3,10,9,12,11] => 2 [2,1,8,5,4,7,6,3,12,11,10,9] => 2 [2,1,10,5,4,7,6,9,8,3,12,11] => 2 [2,1,12,5,4,7,6,9,8,11,10,3] => 2 [2,1,12,5,4,7,6,11,10,9,8,3] => 2 [2,1,10,5,4,9,8,7,6,3,12,11] => 2 [2,1,12,5,4,9,8,7,6,11,10,3] => 2 [2,1,12,5,4,11,8,7,10,9,6,3] => 2 [2,1,12,5,4,11,10,9,8,7,6,3] => 2 [2,1,8,7,6,5,4,3,10,9,12,11] => 2 [2,1,8,7,6,5,4,3,12,11,10,9] => 2 [2,1,10,7,6,5,4,9,8,3,12,11] => 2 [2,1,12,7,6,5,4,9,8,11,10,3] => 2 [2,1,12,7,6,5,4,11,10,9,8,3] => 2 [2,1,10,9,6,5,8,7,4,3,12,11] => 2 [2,1,12,9,6,5,8,7,4,11,10,3] => 2 [2,1,12,11,6,5,8,7,10,9,4,3] => 2 [2,1,12,11,6,5,10,9,8,7,4,3] => 2 [2,1,10,9,8,7,6,5,4,3,12,11] => 2 [2,1,12,9,8,7,6,5,4,11,10,3] => 2 [2,1,12,11,8,7,6,5,10,9,4,3] => 2 [2,1,12,11,10,7,6,9,8,5,4,3] => 2 [2,1,12,11,10,9,8,7,6,5,4,3] => 2 [4,3,2,1,6,5,8,7,10,9,12,11] => 4 [4,3,2,1,6,5,8,7,12,11,10,9] => 4 [4,3,2,1,6,5,10,9,8,7,12,11] => 4 [4,3,2,1,6,5,12,9,8,11,10,7] => 4 [4,3,2,1,6,5,12,11,10,9,8,7] => 4 [4,3,2,1,8,7,6,5,10,9,12,11] => 4 [4,3,2,1,8,7,6,5,12,11,10,9] => 4 [4,3,2,1,10,7,6,9,8,5,12,11] => 4 [4,3,2,1,12,7,6,9,8,11,10,5] => 4 [4,3,2,1,12,7,6,11,10,9,8,5] => 4 [4,3,2,1,10,9,8,7,6,5,12,11] => 4 [4,3,2,1,12,9,8,7,6,11,10,5] => 4 [4,3,2,1,12,11,8,7,10,9,6,5] => 4 [4,3,2,1,12,11,10,9,8,7,6,5] => 4 [6,3,2,5,4,1,8,7,10,9,12,11] => 6 [6,3,2,5,4,1,8,7,12,11,10,9] => 6 [6,3,2,5,4,1,10,9,8,7,12,11] => 6 [6,3,2,5,4,1,12,9,8,11,10,7] => 6 [6,3,2,5,4,1,12,11,10,9,8,7] => 6 [8,3,2,5,4,7,6,1,10,9,12,11] => 8 [8,3,2,5,4,7,6,1,12,11,10,9] => 8 [10,3,2,5,4,7,6,9,8,1,12,11] => 10 [12,3,2,5,4,7,6,9,8,11,10,1] => 12 [12,3,2,5,4,7,6,11,10,9,8,1] => 12 [10,3,2,5,4,9,8,7,6,1,12,11] => 10 [12,3,2,5,4,9,8,7,6,11,10,1] => 12 [12,3,2,5,4,11,8,7,10,9,6,1] => 12 [12,3,2,5,4,11,10,9,8,7,6,1] => 12 [8,3,2,7,6,5,4,1,10,9,12,11] => 8 [8,3,2,7,6,5,4,1,12,11,10,9] => 8 [10,3,2,7,6,5,4,9,8,1,12,11] => 10 [12,3,2,7,6,5,4,9,8,11,10,1] => 12 [12,3,2,7,6,5,4,11,10,9,8,1] => 12 [10,3,2,9,6,5,8,7,4,1,12,11] => 10 [12,3,2,9,6,5,8,7,4,11,10,1] => 12 [12,3,2,11,6,5,8,7,10,9,4,1] => 12 [12,3,2,11,6,5,10,9,8,7,4,1] => 12 [10,3,2,9,8,7,6,5,4,1,12,11] => 10 [12,3,2,9,8,7,6,5,4,11,10,1] => 12 [12,3,2,11,8,7,6,5,10,9,4,1] => 12 [12,3,2,11,10,7,6,9,8,5,4,1] => 12 [12,3,2,11,10,9,8,7,6,5,4,1] => 12 [6,5,4,3,2,1,8,7,10,9,12,11] => 6 [6,5,4,3,2,1,8,7,12,11,10,9] => 6 [6,5,4,3,2,1,10,9,8,7,12,11] => 6 [6,5,4,3,2,1,12,9,8,11,10,7] => 6 [6,5,4,3,2,1,12,11,10,9,8,7] => 6 [8,5,4,3,2,7,6,1,10,9,12,11] => 8 [8,5,4,3,2,7,6,1,12,11,10,9] => 8 [10,5,4,3,2,7,6,9,8,1,12,11] => 10 [12,5,4,3,2,7,6,9,8,11,10,1] => 12 [12,5,4,3,2,7,6,11,10,9,8,1] => 12 [10,5,4,3,2,9,8,7,6,1,12,11] => 10 [12,5,4,3,2,9,8,7,6,11,10,1] => 12 [12,5,4,3,2,11,8,7,10,9,6,1] => 12 [12,5,4,3,2,11,10,9,8,7,6,1] => 12 [8,7,4,3,6,5,2,1,10,9,12,11] => 8 [8,7,4,3,6,5,2,1,12,11,10,9] => 8 [10,7,4,3,6,5,2,9,8,1,12,11] => 10 [12,7,4,3,6,5,2,9,8,11,10,1] => 12 [12,7,4,3,6,5,2,11,10,9,8,1] => 12 [10,9,4,3,6,5,8,7,2,1,12,11] => 10 [12,9,4,3,6,5,8,7,2,11,10,1] => 12 [12,11,4,3,6,5,8,7,10,9,2,1] => 12 [12,11,4,3,6,5,10,9,8,7,2,1] => 12 [10,9,4,3,8,7,6,5,2,1,12,11] => 10 [12,9,4,3,8,7,6,5,2,11,10,1] => 12 [12,11,4,3,8,7,6,5,10,9,2,1] => 12 [12,11,4,3,10,7,6,9,8,5,2,1] => 12 [12,11,4,3,10,9,8,7,6,5,2,1] => 12 [8,7,6,5,4,3,2,1,10,9,12,11] => 8 [8,7,6,5,4,3,2,1,12,11,10,9] => 8 [10,7,6,5,4,3,2,9,8,1,12,11] => 10 [12,7,6,5,4,3,2,9,8,11,10,1] => 12 [12,7,6,5,4,3,2,11,10,9,8,1] => 12 [10,9,6,5,4,3,8,7,2,1,12,11] => 10 [12,9,6,5,4,3,8,7,2,11,10,1] => 12 [12,11,6,5,4,3,8,7,10,9,2,1] => 12 [12,11,6,5,4,3,10,9,8,7,2,1] => 12 [10,9,8,5,4,7,6,3,2,1,12,11] => 10 [12,9,8,5,4,7,6,3,2,11,10,1] => 12 [12,11,8,5,4,7,6,3,10,9,2,1] => 12 [12,11,10,5,4,7,6,9,8,3,2,1] => 12 [12,11,10,5,4,9,8,7,6,3,2,1] => 12 [10,9,8,7,6,5,4,3,2,1,12,11] => 10 [12,9,8,7,6,5,4,3,2,11,10,1] => 12 [12,11,8,7,6,5,4,3,10,9,2,1] => 12 [12,11,10,7,6,5,4,9,8,3,2,1] => 12 [12,11,10,9,6,5,8,7,4,3,2,1] => 12 [12,11,10,9,8,7,6,5,4,3,2,1] => 12 [2,4,6,8,10,12,1,3,5,7,9,11] => 2 [2,4,6,8,11,12,1,3,5,7,9,10] => 2 [2,4,6,9,10,12,1,3,5,7,8,11] => 2 [2,4,6,9,11,12,1,3,5,7,8,10] => 2 [2,4,6,10,11,12,1,3,5,7,8,9] => 2 [2,4,7,8,10,12,1,3,5,6,9,11] => 2 [2,4,7,8,11,12,1,3,5,6,9,10] => 2 [2,4,7,9,10,12,1,3,5,6,8,11] => 2 [2,4,7,9,11,12,1,3,5,6,8,10] => 2 [2,4,7,10,11,12,1,3,5,6,8,9] => 2 [2,4,8,9,10,12,1,3,5,6,7,11] => 2 [2,4,8,9,11,12,1,3,5,6,7,10] => 2 [2,4,8,10,11,12,1,3,5,6,7,9] => 2 [2,4,9,10,11,12,1,3,5,6,7,8] => 2 [2,5,6,8,10,12,1,3,4,7,9,11] => 2 [2,5,6,8,11,12,1,3,4,7,9,10] => 2 [2,5,6,9,10,12,1,3,4,7,8,11] => 2 [2,5,6,9,11,12,1,3,4,7,8,10] => 2 [2,5,6,10,11,12,1,3,4,7,8,9] => 2 [2,5,7,8,10,12,1,3,4,6,9,11] => 2 [2,5,7,8,11,12,1,3,4,6,9,10] => 2 [2,5,7,9,10,12,1,3,4,6,8,11] => 2 [2,5,7,9,11,12,1,3,4,6,8,10] => 2 [2,5,7,10,11,12,1,3,4,6,8,9] => 2 [2,5,8,9,10,12,1,3,4,6,7,11] => 2 [2,5,8,9,11,12,1,3,4,6,7,10] => 2 [2,5,8,10,11,12,1,3,4,6,7,9] => 2 [2,5,9,10,11,12,1,3,4,6,7,8] => 2 [2,6,7,8,10,12,1,3,4,5,9,11] => 2 [2,6,7,8,11,12,1,3,4,5,9,10] => 2 [2,6,7,9,10,12,1,3,4,5,8,11] => 2 [2,6,7,9,11,12,1,3,4,5,8,10] => 2 [2,6,7,10,11,12,1,3,4,5,8,9] => 2 [2,6,8,9,10,12,1,3,4,5,7,11] => 2 [2,6,8,9,11,12,1,3,4,5,7,10] => 2 [2,6,8,10,11,12,1,3,4,5,7,9] => 2 [2,6,9,10,11,12,1,3,4,5,7,8] => 2 [2,7,8,9,10,12,1,3,4,5,6,11] => 2 [2,7,8,9,11,12,1,3,4,5,6,10] => 2 [2,7,8,10,11,12,1,3,4,5,6,9] => 2 [2,7,9,10,11,12,1,3,4,5,6,8] => 2 [2,8,9,10,11,12,1,3,4,5,6,7] => 2 [3,4,6,8,10,12,1,2,5,7,9,11] => 3 [3,4,6,8,11,12,1,2,5,7,9,10] => 3 [3,4,6,9,10,12,1,2,5,7,8,11] => 3 [3,4,6,9,11,12,1,2,5,7,8,10] => 3 [3,4,6,10,11,12,1,2,5,7,8,9] => 3 [3,4,7,8,10,12,1,2,5,6,9,11] => 3 [3,4,7,8,11,12,1,2,5,6,9,10] => 3 [3,4,7,9,10,12,1,2,5,6,8,11] => 3 [3,4,7,9,11,12,1,2,5,6,8,10] => 3 [3,4,7,10,11,12,1,2,5,6,8,9] => 3 [3,4,8,9,10,12,1,2,5,6,7,11] => 3 [3,4,8,9,11,12,1,2,5,6,7,10] => 3 [3,4,8,10,11,12,1,2,5,6,7,9] => 3 [3,4,9,10,11,12,1,2,5,6,7,8] => 3 [3,5,6,8,10,12,1,2,4,7,9,11] => 3 [3,5,6,8,11,12,1,2,4,7,9,10] => 3 [3,5,6,9,10,12,1,2,4,7,8,11] => 3 [3,5,6,9,11,12,1,2,4,7,8,10] => 3 [3,5,6,10,11,12,1,2,4,7,8,9] => 3 [3,5,7,8,10,12,1,2,4,6,9,11] => 3 [3,5,7,8,11,12,1,2,4,6,9,10] => 3 [3,5,7,9,10,12,1,2,4,6,8,11] => 3 [3,5,7,9,11,12,1,2,4,6,8,10] => 3 [3,5,7,10,11,12,1,2,4,6,8,9] => 3 [3,5,8,9,10,12,1,2,4,6,7,11] => 3 [3,5,8,9,11,12,1,2,4,6,7,10] => 3 [3,5,8,10,11,12,1,2,4,6,7,9] => 3 [3,5,9,10,11,12,1,2,4,6,7,8] => 3 [3,6,7,8,10,12,1,2,4,5,9,11] => 3 [3,6,7,8,11,12,1,2,4,5,9,10] => 3 [3,6,7,9,10,12,1,2,4,5,8,11] => 3 [3,6,7,9,11,12,1,2,4,5,8,10] => 3 [3,6,7,10,11,12,1,2,4,5,8,9] => 3 [3,6,8,9,10,12,1,2,4,5,7,11] => 3 [3,6,8,9,11,12,1,2,4,5,7,10] => 3 [3,6,8,10,11,12,1,2,4,5,7,9] => 3 [3,6,9,10,11,12,1,2,4,5,7,8] => 3 [3,7,8,9,10,12,1,2,4,5,6,11] => 3 [3,7,8,9,11,12,1,2,4,5,6,10] => 3 [3,7,8,10,11,12,1,2,4,5,6,9] => 3 [3,7,9,10,11,12,1,2,4,5,6,8] => 3 [3,8,9,10,11,12,1,2,4,5,6,7] => 3 [4,5,6,8,10,12,1,2,3,7,9,11] => 4 [4,5,6,8,11,12,1,2,3,7,9,10] => 4 [4,5,6,9,10,12,1,2,3,7,8,11] => 4 [4,5,6,9,11,12,1,2,3,7,8,10] => 4 [4,5,6,10,11,12,1,2,3,7,8,9] => 4 [4,5,7,8,10,12,1,2,3,6,9,11] => 4 [4,5,7,8,11,12,1,2,3,6,9,10] => 4 [4,5,7,9,10,12,1,2,3,6,8,11] => 4 [4,5,7,9,11,12,1,2,3,6,8,10] => 4 [4,5,7,10,11,12,1,2,3,6,8,9] => 4 [4,5,8,9,10,12,1,2,3,6,7,11] => 4 [4,5,8,9,11,12,1,2,3,6,7,10] => 4 [4,5,8,10,11,12,1,2,3,6,7,9] => 4 [4,5,9,10,11,12,1,2,3,6,7,8] => 4 [4,6,7,8,10,12,1,2,3,5,9,11] => 4 [4,6,7,8,11,12,1,2,3,5,9,10] => 4 [4,6,7,9,10,12,1,2,3,5,8,11] => 4 [4,6,7,9,11,12,1,2,3,5,8,10] => 4 [4,6,7,10,11,12,1,2,3,5,8,9] => 4 [4,6,8,9,10,12,1,2,3,5,7,11] => 4 [4,6,8,9,11,12,1,2,3,5,7,10] => 4 [4,6,8,10,11,12,1,2,3,5,7,9] => 4 [4,6,9,10,11,12,1,2,3,5,7,8] => 4 [4,7,8,9,10,12,1,2,3,5,6,11] => 4 [4,7,8,9,11,12,1,2,3,5,6,10] => 4 [4,7,8,10,11,12,1,2,3,5,6,9] => 4 [4,7,9,10,11,12,1,2,3,5,6,8] => 4 [4,8,9,10,11,12,1,2,3,5,6,7] => 4 [5,6,7,8,10,12,1,2,3,4,9,11] => 5 [5,6,7,8,11,12,1,2,3,4,9,10] => 5 [5,6,7,9,10,12,1,2,3,4,8,11] => 5 [5,6,7,9,11,12,1,2,3,4,8,10] => 5 [5,6,7,10,11,12,1,2,3,4,8,9] => 5 [5,6,8,9,10,12,1,2,3,4,7,11] => 5 [5,6,8,9,11,12,1,2,3,4,7,10] => 5 [5,6,8,10,11,12,1,2,3,4,7,9] => 5 [5,6,9,10,11,12,1,2,3,4,7,8] => 5 [5,7,8,9,10,12,1,2,3,4,6,11] => 5 [5,7,8,9,11,12,1,2,3,4,6,10] => 5 [5,7,8,10,11,12,1,2,3,4,6,9] => 5 [5,7,9,10,11,12,1,2,3,4,6,8] => 5 [5,8,9,10,11,12,1,2,3,4,6,7] => 5 [6,7,8,9,10,12,1,2,3,4,5,11] => 6 [6,7,8,9,11,12,1,2,3,4,5,10] => 6 [6,7,8,10,11,12,1,2,3,4,5,9] => 6 [6,7,9,10,11,12,1,2,3,4,5,8] => 6 [6,8,9,10,11,12,1,2,3,4,5,7] => 6 [7,8,9,10,11,12,1,2,3,4,5,6] => 7 ----------------------------------------------------------------------------- Created: Mar 25, 2013 at 19:50 by Jessica Striker ----------------------------------------------------------------------------- Last Updated: Sep 09, 2022 at 00:16 by Martin Rubey