***************************************************************************** * 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: St001359 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The number of permutations in the equivalence class of a permutation obtained by taking inverses of cycles. In other words, this is $2^k$ where $k$ is the number of cycles of length at least three ([[St000486]]) in its cycle decomposition. The generating function for the number of equivalence classes, $f(n)$, is $$\sum_{n\geq 0} f(n)\frac{x^n}{n!} = \frac{e(\frac{x}{2} + \frac{x^2}{4})}{\sqrt{1-x}}.$$ ----------------------------------------------------------------------------- References: [1] Zwick, D. Equivalence class of permutations based on cycle decomposition and their inverses [[MathOverflow:324510]] [2] Example 5.2.9. and Exercise 5.18. Stanley, R. P. Enumerative combinatorics. Vol. 2 [[MathSciNet:1676282]] ----------------------------------------------------------------------------- Code: def statistic(sigma): return 2^sum(1 for c in sigma.cycle_tuples() if len(c) > 2) ----------------------------------------------------------------------------- Statistic values: [1] => 1 [1,2] => 1 [2,1] => 1 [1,2,3] => 1 [1,3,2] => 1 [2,1,3] => 1 [2,3,1] => 2 [3,1,2] => 2 [3,2,1] => 1 [1,2,3,4] => 1 [1,2,4,3] => 1 [1,3,2,4] => 1 [1,3,4,2] => 2 [1,4,2,3] => 2 [1,4,3,2] => 1 [2,1,3,4] => 1 [2,1,4,3] => 1 [2,3,1,4] => 2 [2,3,4,1] => 2 [2,4,1,3] => 2 [2,4,3,1] => 2 [3,1,2,4] => 2 [3,1,4,2] => 2 [3,2,1,4] => 1 [3,2,4,1] => 2 [3,4,1,2] => 1 [3,4,2,1] => 2 [4,1,2,3] => 2 [4,1,3,2] => 2 [4,2,1,3] => 2 [4,2,3,1] => 1 [4,3,1,2] => 2 [4,3,2,1] => 1 [1,2,3,4,5] => 1 [1,2,3,5,4] => 1 [1,2,4,3,5] => 1 [1,2,4,5,3] => 2 [1,2,5,3,4] => 2 [1,2,5,4,3] => 1 [1,3,2,4,5] => 1 [1,3,2,5,4] => 1 [1,3,4,2,5] => 2 [1,3,4,5,2] => 2 [1,3,5,2,4] => 2 [1,3,5,4,2] => 2 [1,4,2,3,5] => 2 [1,4,2,5,3] => 2 [1,4,3,2,5] => 1 [1,4,3,5,2] => 2 [1,4,5,2,3] => 1 [1,4,5,3,2] => 2 [1,5,2,3,4] => 2 [1,5,2,4,3] => 2 [1,5,3,2,4] => 2 [1,5,3,4,2] => 1 [1,5,4,2,3] => 2 [1,5,4,3,2] => 1 [2,1,3,4,5] => 1 [2,1,3,5,4] => 1 [2,1,4,3,5] => 1 [2,1,4,5,3] => 2 [2,1,5,3,4] => 2 [2,1,5,4,3] => 1 [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] => 2 [3,1,2,5,4] => 2 [3,1,4,2,5] => 2 [3,1,4,5,2] => 2 [3,1,5,2,4] => 2 [3,1,5,4,2] => 2 [3,2,1,4,5] => 1 [3,2,1,5,4] => 1 [3,2,4,1,5] => 2 [3,2,4,5,1] => 2 [3,2,5,1,4] => 2 [3,2,5,4,1] => 2 [3,4,1,2,5] => 1 [3,4,1,5,2] => 2 [3,4,2,1,5] => 2 [3,4,2,5,1] => 2 [3,4,5,1,2] => 2 [3,4,5,2,1] => 2 [3,5,1,2,4] => 2 [3,5,1,4,2] => 1 [3,5,2,1,4] => 2 [3,5,2,4,1] => 2 [3,5,4,1,2] => 2 [3,5,4,2,1] => 2 [4,1,2,3,5] => 2 [4,1,2,5,3] => 2 [4,1,3,2,5] => 2 [4,1,3,5,2] => 2 [4,1,5,2,3] => 2 [4,1,5,3,2] => 2 [4,2,1,3,5] => 2 [4,2,1,5,3] => 2 [4,2,3,1,5] => 1 [4,2,3,5,1] => 2 [4,2,5,1,3] => 1 [4,2,5,3,1] => 2 [4,3,1,2,5] => 2 [4,3,1,5,2] => 2 [4,3,2,1,5] => 1 [4,3,2,5,1] => 2 [4,3,5,1,2] => 2 [4,3,5,2,1] => 2 [4,5,1,2,3] => 2 [4,5,1,3,2] => 2 [4,5,2,1,3] => 2 [4,5,2,3,1] => 2 [4,5,3,1,2] => 1 [4,5,3,2,1] => 2 [5,1,2,3,4] => 2 [5,1,2,4,3] => 2 [5,1,3,2,4] => 2 [5,1,3,4,2] => 2 [5,1,4,2,3] => 2 [5,1,4,3,2] => 2 [5,2,1,3,4] => 2 [5,2,1,4,3] => 2 [5,2,3,1,4] => 2 [5,2,3,4,1] => 1 [5,2,4,1,3] => 2 [5,2,4,3,1] => 1 [5,3,1,2,4] => 2 [5,3,1,4,2] => 2 [5,3,2,1,4] => 2 [5,3,2,4,1] => 1 [5,3,4,1,2] => 2 [5,3,4,2,1] => 2 [5,4,1,2,3] => 2 [5,4,1,3,2] => 2 [5,4,2,1,3] => 2 [5,4,2,3,1] => 2 [5,4,3,1,2] => 2 [5,4,3,2,1] => 1 [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] => 2 [1,2,3,6,4,5] => 2 [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] => 2 [1,2,4,5,6,3] => 2 [1,2,4,6,3,5] => 2 [1,2,4,6,5,3] => 2 [1,2,5,3,4,6] => 2 [1,2,5,3,6,4] => 2 [1,2,5,4,3,6] => 1 [1,2,5,4,6,3] => 2 [1,2,5,6,3,4] => 1 [1,2,5,6,4,3] => 2 [1,2,6,3,4,5] => 2 [1,2,6,3,5,4] => 2 [1,2,6,4,3,5] => 2 [1,2,6,4,5,3] => 1 [1,2,6,5,3,4] => 2 [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] => 2 [1,3,2,6,4,5] => 2 [1,3,2,6,5,4] => 1 [1,3,4,2,5,6] => 2 [1,3,4,2,6,5] => 2 [1,3,4,5,2,6] => 2 [1,3,4,5,6,2] => 2 [1,3,4,6,2,5] => 2 [1,3,4,6,5,2] => 2 [1,3,5,2,4,6] => 2 [1,3,5,2,6,4] => 2 [1,3,5,4,2,6] => 2 [1,3,5,4,6,2] => 2 [1,3,5,6,2,4] => 2 [1,3,5,6,4,2] => 2 [1,3,6,2,4,5] => 2 [1,3,6,2,5,4] => 2 [1,3,6,4,2,5] => 2 [1,3,6,4,5,2] => 2 [1,3,6,5,2,4] => 2 [1,3,6,5,4,2] => 2 [1,4,2,3,5,6] => 2 [1,4,2,3,6,5] => 2 [1,4,2,5,3,6] => 2 [1,4,2,5,6,3] => 2 [1,4,2,6,3,5] => 2 [1,4,2,6,5,3] => 2 [1,4,3,2,5,6] => 1 [1,4,3,2,6,5] => 1 [1,4,3,5,2,6] => 2 [1,4,3,5,6,2] => 2 [1,4,3,6,2,5] => 2 [1,4,3,6,5,2] => 2 [1,4,5,2,3,6] => 1 [1,4,5,2,6,3] => 2 [1,4,5,3,2,6] => 2 [1,4,5,3,6,2] => 2 [1,4,5,6,2,3] => 2 [1,4,5,6,3,2] => 2 [1,4,6,2,3,5] => 2 [1,4,6,2,5,3] => 1 [1,4,6,3,2,5] => 2 [1,4,6,3,5,2] => 2 [1,4,6,5,2,3] => 2 [1,4,6,5,3,2] => 2 [1,5,2,3,4,6] => 2 [1,5,2,3,6,4] => 2 [1,5,2,4,3,6] => 2 [1,5,2,4,6,3] => 2 [1,5,2,6,3,4] => 2 [1,5,2,6,4,3] => 2 [1,5,3,2,4,6] => 2 [1,5,3,2,6,4] => 2 [1,5,3,4,2,6] => 1 [1,5,3,4,6,2] => 2 [1,5,3,6,2,4] => 1 [1,5,3,6,4,2] => 2 [1,5,4,2,3,6] => 2 [1,5,4,2,6,3] => 2 [1,5,4,3,2,6] => 1 [1,5,4,3,6,2] => 2 [1,5,4,6,2,3] => 2 [1,5,4,6,3,2] => 2 [1,5,6,2,3,4] => 2 [1,5,6,2,4,3] => 2 [1,5,6,3,2,4] => 2 [1,5,6,3,4,2] => 2 [1,5,6,4,2,3] => 1 [1,5,6,4,3,2] => 2 [1,6,2,3,4,5] => 2 [1,6,2,3,5,4] => 2 [1,6,2,4,3,5] => 2 [1,6,2,4,5,3] => 2 [1,6,2,5,3,4] => 2 [1,6,2,5,4,3] => 2 [1,6,3,2,4,5] => 2 [1,6,3,2,5,4] => 2 [1,6,3,4,2,5] => 2 [1,6,3,4,5,2] => 1 [1,6,3,5,2,4] => 2 [1,6,3,5,4,2] => 1 [1,6,4,2,3,5] => 2 [1,6,4,2,5,3] => 2 [1,6,4,3,2,5] => 2 [1,6,4,3,5,2] => 1 [1,6,4,5,2,3] => 2 [1,6,4,5,3,2] => 2 [1,6,5,2,3,4] => 2 [1,6,5,2,4,3] => 2 [1,6,5,3,2,4] => 2 [1,6,5,3,4,2] => 2 [1,6,5,4,2,3] => 2 [1,6,5,4,3,2] => 1 [2,1,3,4,5,6] => 1 [2,1,3,4,6,5] => 1 [2,1,3,5,4,6] => 1 [2,1,3,5,6,4] => 2 [2,1,3,6,4,5] => 2 [2,1,3,6,5,4] => 1 [2,1,4,3,5,6] => 1 [2,1,4,3,6,5] => 1 [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] => 1 [2,1,5,4,6,3] => 2 [2,1,5,6,3,4] => 1 [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] => 1 [2,1,6,5,3,4] => 2 [2,1,6,5,4,3] => 1 [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] => 4 [2,3,1,6,4,5] => 4 [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] => 4 [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] => 4 [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] => 4 [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] => 4 [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] => 4 [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] => 4 [2,6,5,4,1,3] => 2 [2,6,5,4,3,1] => 2 [3,1,2,4,5,6] => 2 [3,1,2,4,6,5] => 2 [3,1,2,5,4,6] => 2 [3,1,2,5,6,4] => 4 [3,1,2,6,4,5] => 4 [3,1,2,6,5,4] => 2 [3,1,4,2,5,6] => 2 [3,1,4,2,6,5] => 2 [3,1,4,5,2,6] => 2 [3,1,4,5,6,2] => 2 [3,1,4,6,2,5] => 2 [3,1,4,6,5,2] => 2 [3,1,5,2,4,6] => 2 [3,1,5,2,6,4] => 2 [3,1,5,4,2,6] => 2 [3,1,5,4,6,2] => 2 [3,1,5,6,2,4] => 2 [3,1,5,6,4,2] => 2 [3,1,6,2,4,5] => 2 [3,1,6,2,5,4] => 2 [3,1,6,4,2,5] => 2 [3,1,6,4,5,2] => 2 [3,1,6,5,2,4] => 2 [3,1,6,5,4,2] => 2 [3,2,1,4,5,6] => 1 [3,2,1,4,6,5] => 1 [3,2,1,5,4,6] => 1 [3,2,1,5,6,4] => 2 [3,2,1,6,4,5] => 2 [3,2,1,6,5,4] => 1 [3,2,4,1,5,6] => 2 [3,2,4,1,6,5] => 2 [3,2,4,5,1,6] => 2 [3,2,4,5,6,1] => 2 [3,2,4,6,1,5] => 2 [3,2,4,6,5,1] => 2 [3,2,5,1,4,6] => 2 [3,2,5,1,6,4] => 2 [3,2,5,4,1,6] => 2 [3,2,5,4,6,1] => 2 [3,2,5,6,1,4] => 2 [3,2,5,6,4,1] => 2 [3,2,6,1,4,5] => 2 [3,2,6,1,5,4] => 2 [3,2,6,4,1,5] => 2 [3,2,6,4,5,1] => 2 [3,2,6,5,1,4] => 2 [3,2,6,5,4,1] => 2 [3,4,1,2,5,6] => 1 [3,4,1,2,6,5] => 1 [3,4,1,5,2,6] => 2 [3,4,1,5,6,2] => 2 [3,4,1,6,2,5] => 2 [3,4,1,6,5,2] => 2 [3,4,2,1,5,6] => 2 [3,4,2,1,6,5] => 2 [3,4,2,5,1,6] => 2 [3,4,2,5,6,1] => 2 [3,4,2,6,1,5] => 2 [3,4,2,6,5,1] => 2 [3,4,5,1,2,6] => 2 [3,4,5,1,6,2] => 2 [3,4,5,2,1,6] => 2 [3,4,5,2,6,1] => 2 [3,4,5,6,1,2] => 4 [3,4,5,6,2,1] => 2 [3,4,6,1,2,5] => 2 [3,4,6,1,5,2] => 2 [3,4,6,2,1,5] => 2 [3,4,6,2,5,1] => 2 [3,4,6,5,1,2] => 2 [3,4,6,5,2,1] => 4 [3,5,1,2,4,6] => 2 [3,5,1,2,6,4] => 2 [3,5,1,4,2,6] => 1 [3,5,1,4,6,2] => 2 [3,5,1,6,2,4] => 1 [3,5,1,6,4,2] => 2 [3,5,2,1,4,6] => 2 [3,5,2,1,6,4] => 2 [3,5,2,4,1,6] => 2 [3,5,2,4,6,1] => 2 [3,5,2,6,1,4] => 2 [3,5,2,6,4,1] => 2 [3,5,4,1,2,6] => 2 [3,5,4,1,6,2] => 4 [3,5,4,2,1,6] => 2 [3,5,4,2,6,1] => 2 [3,5,4,6,1,2] => 2 [3,5,4,6,2,1] => 2 [3,5,6,1,2,4] => 2 [3,5,6,1,4,2] => 2 [3,5,6,2,1,4] => 2 [3,5,6,2,4,1] => 4 [3,5,6,4,1,2] => 2 [3,5,6,4,2,1] => 2 [3,6,1,2,4,5] => 2 [3,6,1,2,5,4] => 2 [3,6,1,4,2,5] => 2 [3,6,1,4,5,2] => 1 [3,6,1,5,2,4] => 2 [3,6,1,5,4,2] => 1 [3,6,2,1,4,5] => 2 [3,6,2,1,5,4] => 2 [3,6,2,4,1,5] => 2 [3,6,2,4,5,1] => 2 [3,6,2,5,1,4] => 2 [3,6,2,5,4,1] => 2 [3,6,4,1,2,5] => 4 [3,6,4,1,5,2] => 2 [3,6,4,2,1,5] => 2 [3,6,4,2,5,1] => 2 [3,6,4,5,1,2] => 2 [3,6,4,5,2,1] => 2 [3,6,5,1,2,4] => 2 [3,6,5,1,4,2] => 2 [3,6,5,2,1,4] => 4 [3,6,5,2,4,1] => 2 [3,6,5,4,1,2] => 2 [3,6,5,4,2,1] => 2 [4,1,2,3,5,6] => 2 [4,1,2,3,6,5] => 2 [4,1,2,5,3,6] => 2 [4,1,2,5,6,3] => 2 [4,1,2,6,3,5] => 2 [4,1,2,6,5,3] => 2 [4,1,3,2,5,6] => 2 [4,1,3,2,6,5] => 2 [4,1,3,5,2,6] => 2 [4,1,3,5,6,2] => 2 [4,1,3,6,2,5] => 2 [4,1,3,6,5,2] => 2 [4,1,5,2,3,6] => 2 [4,1,5,2,6,3] => 4 [4,1,5,3,2,6] => 2 [4,1,5,3,6,2] => 2 [4,1,5,6,2,3] => 2 [4,1,5,6,3,2] => 2 [4,1,6,2,3,5] => 4 [4,1,6,2,5,3] => 2 [4,1,6,3,2,5] => 2 [4,1,6,3,5,2] => 2 [4,1,6,5,2,3] => 2 [4,1,6,5,3,2] => 2 [4,2,1,3,5,6] => 2 [4,2,1,3,6,5] => 2 [4,2,1,5,3,6] => 2 [4,2,1,5,6,3] => 2 [4,2,1,6,3,5] => 2 [4,2,1,6,5,3] => 2 [4,2,3,1,5,6] => 1 [4,2,3,1,6,5] => 1 [4,2,3,5,1,6] => 2 [4,2,3,5,6,1] => 2 [4,2,3,6,1,5] => 2 [4,2,3,6,5,1] => 2 [4,2,5,1,3,6] => 1 [4,2,5,1,6,3] => 2 [4,2,5,3,1,6] => 2 [4,2,5,3,6,1] => 2 [4,2,5,6,1,3] => 2 [4,2,5,6,3,1] => 2 [4,2,6,1,3,5] => 2 [4,2,6,1,5,3] => 1 [4,2,6,3,1,5] => 2 [4,2,6,3,5,1] => 2 [4,2,6,5,1,3] => 2 [4,2,6,5,3,1] => 2 [4,3,1,2,5,6] => 2 [4,3,1,2,6,5] => 2 [4,3,1,5,2,6] => 2 [4,3,1,5,6,2] => 2 [4,3,1,6,2,5] => 2 [4,3,1,6,5,2] => 2 [4,3,2,1,5,6] => 1 [4,3,2,1,6,5] => 1 [4,3,2,5,1,6] => 2 [4,3,2,5,6,1] => 2 [4,3,2,6,1,5] => 2 [4,3,2,6,5,1] => 2 [4,3,5,1,2,6] => 2 [4,3,5,1,6,2] => 2 [4,3,5,2,1,6] => 2 [4,3,5,2,6,1] => 2 [4,3,5,6,1,2] => 2 [4,3,5,6,2,1] => 4 [4,3,6,1,2,5] => 2 [4,3,6,1,5,2] => 2 [4,3,6,2,1,5] => 2 [4,3,6,2,5,1] => 2 [4,3,6,5,1,2] => 4 [4,3,6,5,2,1] => 2 [4,5,1,2,3,6] => 2 [4,5,1,2,6,3] => 2 [4,5,1,3,2,6] => 2 [4,5,1,3,6,2] => 4 [4,5,1,6,2,3] => 2 [4,5,1,6,3,2] => 2 [4,5,2,1,3,6] => 2 [4,5,2,1,6,3] => 2 [4,5,2,3,1,6] => 2 [4,5,2,3,6,1] => 2 [4,5,2,6,1,3] => 2 [4,5,2,6,3,1] => 4 [4,5,3,1,2,6] => 1 [4,5,3,1,6,2] => 2 [4,5,3,2,1,6] => 2 [4,5,3,2,6,1] => 2 [4,5,3,6,1,2] => 2 [4,5,3,6,2,1] => 2 [4,5,6,1,2,3] => 1 [4,5,6,1,3,2] => 2 [4,5,6,2,1,3] => 2 [4,5,6,2,3,1] => 2 [4,5,6,3,1,2] => 2 [4,5,6,3,2,1] => 2 [4,6,1,2,3,5] => 2 [4,6,1,2,5,3] => 2 [4,6,1,3,2,5] => 4 [4,6,1,3,5,2] => 2 [4,6,1,5,2,3] => 2 [4,6,1,5,3,2] => 2 [4,6,2,1,3,5] => 2 [4,6,2,1,5,3] => 2 [4,6,2,3,1,5] => 2 [4,6,2,3,5,1] => 2 [4,6,2,5,1,3] => 4 [4,6,2,5,3,1] => 2 [4,6,3,1,2,5] => 2 [4,6,3,1,5,2] => 1 [4,6,3,2,1,5] => 2 [4,6,3,2,5,1] => 2 [4,6,3,5,1,2] => 2 [4,6,3,5,2,1] => 2 [4,6,5,1,2,3] => 2 [4,6,5,1,3,2] => 1 [4,6,5,2,1,3] => 2 [4,6,5,2,3,1] => 2 [4,6,5,3,1,2] => 2 [4,6,5,3,2,1] => 2 [5,1,2,3,4,6] => 2 [5,1,2,3,6,4] => 2 [5,1,2,4,3,6] => 2 [5,1,2,4,6,3] => 2 [5,1,2,6,3,4] => 2 [5,1,2,6,4,3] => 2 [5,1,3,2,4,6] => 2 [5,1,3,2,6,4] => 2 [5,1,3,4,2,6] => 2 [5,1,3,4,6,2] => 2 [5,1,3,6,2,4] => 2 [5,1,3,6,4,2] => 2 [5,1,4,2,3,6] => 2 [5,1,4,2,6,3] => 2 [5,1,4,3,2,6] => 2 [5,1,4,3,6,2] => 2 [5,1,4,6,2,3] => 4 [5,1,4,6,3,2] => 2 [5,1,6,2,3,4] => 2 [5,1,6,2,4,3] => 2 [5,1,6,3,2,4] => 4 [5,1,6,3,4,2] => 2 [5,1,6,4,2,3] => 2 [5,1,6,4,3,2] => 2 [5,2,1,3,4,6] => 2 [5,2,1,3,6,4] => 2 [5,2,1,4,3,6] => 2 [5,2,1,4,6,3] => 2 [5,2,1,6,3,4] => 2 [5,2,1,6,4,3] => 2 [5,2,3,1,4,6] => 2 [5,2,3,1,6,4] => 2 [5,2,3,4,1,6] => 1 [5,2,3,4,6,1] => 2 [5,2,3,6,1,4] => 1 [5,2,3,6,4,1] => 2 [5,2,4,1,3,6] => 2 [5,2,4,1,6,3] => 2 [5,2,4,3,1,6] => 1 [5,2,4,3,6,1] => 2 [5,2,4,6,1,3] => 2 [5,2,4,6,3,1] => 2 [5,2,6,1,3,4] => 2 [5,2,6,1,4,3] => 2 [5,2,6,3,1,4] => 2 [5,2,6,3,4,1] => 2 [5,2,6,4,1,3] => 1 [5,2,6,4,3,1] => 2 [5,3,1,2,4,6] => 2 [5,3,1,2,6,4] => 2 [5,3,1,4,2,6] => 2 [5,3,1,4,6,2] => 2 [5,3,1,6,2,4] => 2 [5,3,1,6,4,2] => 2 [5,3,2,1,4,6] => 2 [5,3,2,1,6,4] => 2 [5,3,2,4,1,6] => 1 [5,3,2,4,6,1] => 2 [5,3,2,6,1,4] => 1 [5,3,2,6,4,1] => 2 [5,3,4,1,2,6] => 2 [5,3,4,1,6,2] => 2 [5,3,4,2,1,6] => 2 [5,3,4,2,6,1] => 4 [5,3,4,6,1,2] => 2 [5,3,4,6,2,1] => 2 [5,3,6,1,2,4] => 2 [5,3,6,1,4,2] => 4 [5,3,6,2,1,4] => 2 [5,3,6,2,4,1] => 2 [5,3,6,4,1,2] => 2 [5,3,6,4,2,1] => 2 [5,4,1,2,3,6] => 2 [5,4,1,2,6,3] => 2 [5,4,1,3,2,6] => 2 [5,4,1,3,6,2] => 2 [5,4,1,6,2,3] => 2 [5,4,1,6,3,2] => 4 [5,4,2,1,3,6] => 2 [5,4,2,1,6,3] => 2 [5,4,2,3,1,6] => 2 [5,4,2,3,6,1] => 4 [5,4,2,6,1,3] => 2 [5,4,2,6,3,1] => 2 [5,4,3,1,2,6] => 2 [5,4,3,1,6,2] => 2 [5,4,3,2,1,6] => 1 [5,4,3,2,6,1] => 2 [5,4,3,6,1,2] => 2 [5,4,3,6,2,1] => 2 [5,4,6,1,2,3] => 2 [5,4,6,1,3,2] => 2 [5,4,6,2,1,3] => 1 [5,4,6,2,3,1] => 2 [5,4,6,3,1,2] => 2 [5,4,6,3,2,1] => 2 [5,6,1,2,3,4] => 4 [5,6,1,2,4,3] => 2 [5,6,1,3,2,4] => 2 [5,6,1,3,4,2] => 2 [5,6,1,4,2,3] => 2 [5,6,1,4,3,2] => 2 [5,6,2,1,3,4] => 2 [5,6,2,1,4,3] => 4 [5,6,2,3,1,4] => 2 [5,6,2,3,4,1] => 2 [5,6,2,4,1,3] => 2 [5,6,2,4,3,1] => 2 [5,6,3,1,2,4] => 2 [5,6,3,1,4,2] => 2 [5,6,3,2,1,4] => 2 [5,6,3,2,4,1] => 2 [5,6,3,4,1,2] => 1 [5,6,3,4,2,1] => 2 [5,6,4,1,2,3] => 2 [5,6,4,1,3,2] => 2 [5,6,4,2,1,3] => 2 [5,6,4,2,3,1] => 2 [5,6,4,3,1,2] => 1 [5,6,4,3,2,1] => 2 [6,1,2,3,4,5] => 2 [6,1,2,3,5,4] => 2 [6,1,2,4,3,5] => 2 [6,1,2,4,5,3] => 2 [6,1,2,5,3,4] => 2 [6,1,2,5,4,3] => 2 [6,1,3,2,4,5] => 2 [6,1,3,2,5,4] => 2 [6,1,3,4,2,5] => 2 [6,1,3,4,5,2] => 2 [6,1,3,5,2,4] => 2 [6,1,3,5,4,2] => 2 [6,1,4,2,3,5] => 2 [6,1,4,2,5,3] => 2 [6,1,4,3,2,5] => 2 [6,1,4,3,5,2] => 2 [6,1,4,5,2,3] => 2 [6,1,4,5,3,2] => 4 [6,1,5,2,3,4] => 2 [6,1,5,2,4,3] => 2 [6,1,5,3,2,4] => 2 [6,1,5,3,4,2] => 4 [6,1,5,4,2,3] => 2 [6,1,5,4,3,2] => 2 [6,2,1,3,4,5] => 2 [6,2,1,3,5,4] => 2 [6,2,1,4,3,5] => 2 [6,2,1,4,5,3] => 2 [6,2,1,5,3,4] => 2 [6,2,1,5,4,3] => 2 [6,2,3,1,4,5] => 2 [6,2,3,1,5,4] => 2 [6,2,3,4,1,5] => 2 [6,2,3,4,5,1] => 1 [6,2,3,5,1,4] => 2 [6,2,3,5,4,1] => 1 [6,2,4,1,3,5] => 2 [6,2,4,1,5,3] => 2 [6,2,4,3,1,5] => 2 [6,2,4,3,5,1] => 1 [6,2,4,5,1,3] => 2 [6,2,4,5,3,1] => 2 [6,2,5,1,3,4] => 2 [6,2,5,1,4,3] => 2 [6,2,5,3,1,4] => 2 [6,2,5,3,4,1] => 2 [6,2,5,4,1,3] => 2 [6,2,5,4,3,1] => 1 [6,3,1,2,4,5] => 2 [6,3,1,2,5,4] => 2 [6,3,1,4,2,5] => 2 [6,3,1,4,5,2] => 2 [6,3,1,5,2,4] => 2 [6,3,1,5,4,2] => 2 [6,3,2,1,4,5] => 2 [6,3,2,1,5,4] => 2 [6,3,2,4,1,5] => 2 [6,3,2,4,5,1] => 1 [6,3,2,5,1,4] => 2 [6,3,2,5,4,1] => 1 [6,3,4,1,2,5] => 2 [6,3,4,1,5,2] => 2 [6,3,4,2,1,5] => 4 [6,3,4,2,5,1] => 2 [6,3,4,5,1,2] => 2 [6,3,4,5,2,1] => 2 [6,3,5,1,2,4] => 4 [6,3,5,1,4,2] => 2 [6,3,5,2,1,4] => 2 [6,3,5,2,4,1] => 2 [6,3,5,4,1,2] => 2 [6,3,5,4,2,1] => 2 [6,4,1,2,3,5] => 2 [6,4,1,2,5,3] => 2 [6,4,1,3,2,5] => 2 [6,4,1,3,5,2] => 2 [6,4,1,5,2,3] => 4 [6,4,1,5,3,2] => 2 [6,4,2,1,3,5] => 2 [6,4,2,1,5,3] => 2 [6,4,2,3,1,5] => 4 [6,4,2,3,5,1] => 2 [6,4,2,5,1,3] => 2 [6,4,2,5,3,1] => 2 [6,4,3,1,2,5] => 2 [6,4,3,1,5,2] => 2 [6,4,3,2,1,5] => 2 [6,4,3,2,5,1] => 1 [6,4,3,5,1,2] => 2 [6,4,3,5,2,1] => 2 [6,4,5,1,2,3] => 2 [6,4,5,1,3,2] => 2 [6,4,5,2,1,3] => 2 [6,4,5,2,3,1] => 1 [6,4,5,3,1,2] => 2 [6,4,5,3,2,1] => 2 [6,5,1,2,3,4] => 2 [6,5,1,2,4,3] => 4 [6,5,1,3,2,4] => 2 [6,5,1,3,4,2] => 2 [6,5,1,4,2,3] => 2 [6,5,1,4,3,2] => 2 [6,5,2,1,3,4] => 4 [6,5,2,1,4,3] => 2 [6,5,2,3,1,4] => 2 [6,5,2,3,4,1] => 2 [6,5,2,4,1,3] => 2 [6,5,2,4,3,1] => 2 [6,5,3,1,2,4] => 2 [6,5,3,1,4,2] => 2 [6,5,3,2,1,4] => 2 [6,5,3,2,4,1] => 2 [6,5,3,4,1,2] => 2 [6,5,3,4,2,1] => 1 [6,5,4,1,2,3] => 2 [6,5,4,1,3,2] => 2 [6,5,4,2,1,3] => 2 [6,5,4,2,3,1] => 2 [6,5,4,3,1,2] => 2 [6,5,4,3,2,1] => 1 [1,2,3,4,5,6,7] => 1 [1,2,3,4,5,7,6] => 1 [1,2,3,4,6,5,7] => 1 [1,2,3,4,6,7,5] => 2 [1,2,3,4,7,5,6] => 2 [1,2,3,4,7,6,5] => 1 [1,2,3,5,4,6,7] => 1 [1,2,3,5,4,7,6] => 1 [1,2,3,5,6,4,7] => 2 [1,2,3,5,6,7,4] => 2 [1,2,3,5,7,4,6] => 2 [1,2,3,5,7,6,4] => 2 [1,2,3,6,4,5,7] => 2 [1,2,3,6,4,7,5] => 2 [1,2,3,6,5,4,7] => 1 [1,2,3,6,5,7,4] => 2 [1,2,3,6,7,4,5] => 1 [1,2,3,6,7,5,4] => 2 [1,2,3,7,4,5,6] => 2 [1,2,3,7,4,6,5] => 2 [1,2,3,7,5,4,6] => 2 [1,2,3,7,5,6,4] => 1 [1,2,3,7,6,4,5] => 2 [1,2,3,7,6,5,4] => 1 [1,2,4,3,5,6,7] => 1 [1,2,4,3,5,7,6] => 1 [1,2,4,3,6,5,7] => 1 [1,2,4,3,6,7,5] => 2 [1,2,4,3,7,5,6] => 2 [1,2,4,3,7,6,5] => 1 [1,2,4,5,3,6,7] => 2 [1,2,4,5,3,7,6] => 2 [1,2,4,5,6,3,7] => 2 [1,2,4,5,6,7,3] => 2 [1,2,4,5,7,3,6] => 2 [1,2,4,5,7,6,3] => 2 [1,2,4,6,3,5,7] => 2 [1,2,4,6,3,7,5] => 2 [1,2,4,6,5,3,7] => 2 [1,2,4,6,5,7,3] => 2 [1,2,4,6,7,3,5] => 2 [1,2,4,6,7,5,3] => 2 [1,2,4,7,3,5,6] => 2 [1,2,4,7,3,6,5] => 2 [1,2,4,7,5,3,6] => 2 [1,2,4,7,5,6,3] => 2 [1,2,4,7,6,3,5] => 2 [1,2,4,7,6,5,3] => 2 [1,2,5,3,4,6,7] => 2 [1,2,5,3,4,7,6] => 2 [1,2,5,3,6,4,7] => 2 [1,2,5,3,6,7,4] => 2 [1,2,5,3,7,4,6] => 2 [1,2,5,3,7,6,4] => 2 [1,2,5,4,3,6,7] => 1 [1,2,5,4,3,7,6] => 1 [1,2,5,4,6,3,7] => 2 [1,2,5,4,6,7,3] => 2 [1,2,5,4,7,3,6] => 2 [1,2,5,4,7,6,3] => 2 [1,2,5,6,3,4,7] => 1 [1,2,5,6,3,7,4] => 2 [1,2,5,6,4,3,7] => 2 [1,2,5,6,4,7,3] => 2 [1,2,5,6,7,3,4] => 2 [1,2,5,6,7,4,3] => 2 [1,2,5,7,3,4,6] => 2 [1,2,5,7,3,6,4] => 1 [1,2,5,7,4,3,6] => 2 [1,2,5,7,4,6,3] => 2 [1,2,5,7,6,3,4] => 2 [1,2,5,7,6,4,3] => 2 [1,2,6,3,4,5,7] => 2 [1,2,6,3,4,7,5] => 2 [1,2,6,3,5,4,7] => 2 [1,2,6,3,5,7,4] => 2 [1,2,6,3,7,4,5] => 2 [1,2,6,3,7,5,4] => 2 [1,2,6,4,3,5,7] => 2 [1,2,6,4,3,7,5] => 2 [1,2,6,4,5,3,7] => 1 [1,2,6,4,5,7,3] => 2 [1,2,6,4,7,3,5] => 1 [1,2,6,4,7,5,3] => 2 [1,2,6,5,3,4,7] => 2 [1,2,6,5,3,7,4] => 2 [1,2,6,5,4,3,7] => 1 [1,2,6,5,4,7,3] => 2 [1,2,6,5,7,3,4] => 2 [1,2,6,5,7,4,3] => 2 [1,2,6,7,3,4,5] => 2 [1,2,6,7,3,5,4] => 2 [1,2,6,7,4,3,5] => 2 [1,2,6,7,4,5,3] => 2 [1,2,6,7,5,3,4] => 1 [1,2,6,7,5,4,3] => 2 [1,2,7,3,4,5,6] => 2 [1,2,7,3,4,6,5] => 2 [1,2,7,3,5,4,6] => 2 [1,2,7,3,5,6,4] => 2 [1,2,7,3,6,4,5] => 2 [1,2,7,3,6,5,4] => 2 [1,2,7,4,3,5,6] => 2 [1,2,7,4,3,6,5] => 2 [1,2,7,4,5,3,6] => 2 [1,2,7,4,5,6,3] => 1 [1,2,7,4,6,3,5] => 2 [1,2,7,4,6,5,3] => 1 [1,2,7,5,3,4,6] => 2 [1,2,7,5,3,6,4] => 2 [1,2,7,5,4,3,6] => 2 [1,2,7,5,4,6,3] => 1 [1,2,7,5,6,3,4] => 2 [1,2,7,5,6,4,3] => 2 [1,2,7,6,3,4,5] => 2 [1,2,7,6,3,5,4] => 2 [1,2,7,6,4,3,5] => 2 [1,2,7,6,4,5,3] => 2 [1,2,7,6,5,3,4] => 2 [1,2,7,6,5,4,3] => 1 [1,3,2,4,5,6,7] => 1 [1,3,2,4,5,7,6] => 1 [1,3,2,4,6,5,7] => 1 [1,3,2,4,6,7,5] => 2 [1,3,2,4,7,5,6] => 2 [1,3,2,4,7,6,5] => 1 [1,3,2,5,4,6,7] => 1 [1,3,2,5,4,7,6] => 1 [1,3,2,5,6,4,7] => 2 [1,3,2,5,6,7,4] => 2 [1,3,2,5,7,4,6] => 2 [1,3,2,5,7,6,4] => 2 [1,3,2,6,4,5,7] => 2 [1,3,2,6,4,7,5] => 2 [1,3,2,6,5,4,7] => 1 [1,3,2,6,5,7,4] => 2 [1,3,2,6,7,4,5] => 1 [1,3,2,6,7,5,4] => 2 [1,3,2,7,4,5,6] => 2 [1,3,2,7,4,6,5] => 2 [1,3,2,7,5,4,6] => 2 [1,3,2,7,5,6,4] => 1 [1,3,2,7,6,4,5] => 2 [1,3,2,7,6,5,4] => 1 [1,3,4,2,5,6,7] => 2 [1,3,4,2,5,7,6] => 2 [1,3,4,2,6,5,7] => 2 [1,3,4,2,6,7,5] => 4 [1,3,4,2,7,5,6] => 4 [1,3,4,2,7,6,5] => 2 [1,3,4,5,2,6,7] => 2 [1,3,4,5,2,7,6] => 2 [1,3,4,5,6,2,7] => 2 [1,3,4,5,6,7,2] => 2 [1,3,4,5,7,2,6] => 2 [1,3,4,5,7,6,2] => 2 [1,3,4,6,2,5,7] => 2 [1,3,4,6,2,7,5] => 2 [1,3,4,6,5,2,7] => 2 [1,3,4,6,5,7,2] => 2 [1,3,4,6,7,2,5] => 2 [1,3,4,6,7,5,2] => 2 [1,3,4,7,2,5,6] => 2 [1,3,4,7,2,6,5] => 2 [1,3,4,7,5,2,6] => 2 [1,3,4,7,5,6,2] => 2 [1,3,4,7,6,2,5] => 2 [1,3,4,7,6,5,2] => 2 [1,3,5,2,4,6,7] => 2 [1,3,5,2,4,7,6] => 2 [1,3,5,2,6,4,7] => 2 [1,3,5,2,6,7,4] => 2 [1,3,5,2,7,4,6] => 2 [1,3,5,2,7,6,4] => 2 [1,3,5,4,2,6,7] => 2 [1,3,5,4,2,7,6] => 2 [1,3,5,4,6,2,7] => 2 [1,3,5,4,6,7,2] => 2 [1,3,5,4,7,2,6] => 2 [1,3,5,4,7,6,2] => 2 [1,3,5,6,2,4,7] => 2 [1,3,5,6,2,7,4] => 4 [1,3,5,6,4,2,7] => 2 [1,3,5,6,4,7,2] => 2 [1,3,5,6,7,2,4] => 2 [1,3,5,6,7,4,2] => 2 [1,3,5,7,2,4,6] => 4 [1,3,5,7,2,6,4] => 2 [1,3,5,7,4,2,6] => 2 [1,3,5,7,4,6,2] => 2 [1,3,5,7,6,2,4] => 2 [1,3,5,7,6,4,2] => 2 [1,3,6,2,4,5,7] => 2 [1,3,6,2,4,7,5] => 2 [1,3,6,2,5,4,7] => 2 [1,3,6,2,5,7,4] => 2 [1,3,6,2,7,4,5] => 2 [1,3,6,2,7,5,4] => 2 [1,3,6,4,2,5,7] => 2 [1,3,6,4,2,7,5] => 2 [1,3,6,4,5,2,7] => 2 [1,3,6,4,5,7,2] => 2 [1,3,6,4,7,2,5] => 2 [1,3,6,4,7,5,2] => 2 [1,3,6,5,2,4,7] => 2 [1,3,6,5,2,7,4] => 2 [1,3,6,5,4,2,7] => 2 [1,3,6,5,4,7,2] => 2 [1,3,6,5,7,2,4] => 4 [1,3,6,5,7,4,2] => 2 [1,3,6,7,2,4,5] => 2 [1,3,6,7,2,5,4] => 2 [1,3,6,7,4,2,5] => 4 [1,3,6,7,4,5,2] => 2 [1,3,6,7,5,2,4] => 2 [1,3,6,7,5,4,2] => 2 [1,3,7,2,4,5,6] => 2 [1,3,7,2,4,6,5] => 2 [1,3,7,2,5,4,6] => 2 [1,3,7,2,5,6,4] => 2 [1,3,7,2,6,4,5] => 2 [1,3,7,2,6,5,4] => 2 [1,3,7,4,2,5,6] => 2 [1,3,7,4,2,6,5] => 2 [1,3,7,4,5,2,6] => 2 [1,3,7,4,5,6,2] => 2 [1,3,7,4,6,2,5] => 2 [1,3,7,4,6,5,2] => 2 [1,3,7,5,2,4,6] => 2 [1,3,7,5,2,6,4] => 2 [1,3,7,5,4,2,6] => 2 [1,3,7,5,4,6,2] => 2 [1,3,7,5,6,2,4] => 2 [1,3,7,5,6,4,2] => 4 [1,3,7,6,2,4,5] => 2 [1,3,7,6,2,5,4] => 2 [1,3,7,6,4,2,5] => 2 [1,3,7,6,4,5,2] => 4 [1,3,7,6,5,2,4] => 2 [1,3,7,6,5,4,2] => 2 [1,4,2,3,5,6,7] => 2 [1,4,2,3,5,7,6] => 2 [1,4,2,3,6,5,7] => 2 [1,4,2,3,6,7,5] => 4 [1,4,2,3,7,5,6] => 4 [1,4,2,3,7,6,5] => 2 [1,4,2,5,3,6,7] => 2 [1,4,2,5,3,7,6] => 2 [1,4,2,5,6,3,7] => 2 [1,4,2,5,6,7,3] => 2 [1,4,2,5,7,3,6] => 2 [1,4,2,5,7,6,3] => 2 [1,4,2,6,3,5,7] => 2 [1,4,2,6,3,7,5] => 2 [1,4,2,6,5,3,7] => 2 [1,4,2,6,5,7,3] => 2 [1,4,2,6,7,3,5] => 2 [1,4,2,6,7,5,3] => 2 [1,4,2,7,3,5,6] => 2 [1,4,2,7,3,6,5] => 2 [1,4,2,7,5,3,6] => 2 [1,4,2,7,5,6,3] => 2 [1,4,2,7,6,3,5] => 2 [1,4,2,7,6,5,3] => 2 [1,4,3,2,5,6,7] => 1 [1,4,3,2,5,7,6] => 1 [1,4,3,2,6,5,7] => 1 [1,4,3,2,6,7,5] => 2 [1,4,3,2,7,5,6] => 2 [1,4,3,2,7,6,5] => 1 [1,4,3,5,2,6,7] => 2 [1,4,3,5,2,7,6] => 2 [1,4,3,5,6,2,7] => 2 [1,4,3,5,6,7,2] => 2 [1,4,3,5,7,2,6] => 2 [1,4,3,5,7,6,2] => 2 [1,4,3,6,2,5,7] => 2 [1,4,3,6,2,7,5] => 2 [1,4,3,6,5,2,7] => 2 [1,4,3,6,5,7,2] => 2 [1,4,3,6,7,2,5] => 2 [1,4,3,6,7,5,2] => 2 [1,4,3,7,2,5,6] => 2 [1,4,3,7,2,6,5] => 2 [1,4,3,7,5,2,6] => 2 [1,4,3,7,5,6,2] => 2 [1,4,3,7,6,2,5] => 2 [1,4,3,7,6,5,2] => 2 [1,4,5,2,3,6,7] => 1 [1,4,5,2,3,7,6] => 1 [1,4,5,2,6,3,7] => 2 [1,4,5,2,6,7,3] => 2 [1,4,5,2,7,3,6] => 2 [1,4,5,2,7,6,3] => 2 [1,4,5,3,2,6,7] => 2 [1,4,5,3,2,7,6] => 2 [1,4,5,3,6,2,7] => 2 [1,4,5,3,6,7,2] => 2 [1,4,5,3,7,2,6] => 2 [1,4,5,3,7,6,2] => 2 [1,4,5,6,2,3,7] => 2 [1,4,5,6,2,7,3] => 2 [1,4,5,6,3,2,7] => 2 [1,4,5,6,3,7,2] => 2 [1,4,5,6,7,2,3] => 4 [1,4,5,6,7,3,2] => 2 [1,4,5,7,2,3,6] => 2 [1,4,5,7,2,6,3] => 2 [1,4,5,7,3,2,6] => 2 [1,4,5,7,3,6,2] => 2 [1,4,5,7,6,2,3] => 2 [1,4,5,7,6,3,2] => 4 [1,4,6,2,3,5,7] => 2 [1,4,6,2,3,7,5] => 2 [1,4,6,2,5,3,7] => 1 [1,4,6,2,5,7,3] => 2 [1,4,6,2,7,3,5] => 1 [1,4,6,2,7,5,3] => 2 [1,4,6,3,2,5,7] => 2 [1,4,6,3,2,7,5] => 2 [1,4,6,3,5,2,7] => 2 [1,4,6,3,5,7,2] => 2 [1,4,6,3,7,2,5] => 2 [1,4,6,3,7,5,2] => 2 [1,4,6,5,2,3,7] => 2 [1,4,6,5,2,7,3] => 4 [1,4,6,5,3,2,7] => 2 ----------------------------------------------------------------------------- Created: Mar 03, 2019 at 17:09 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Mar 03, 2019 at 17:09 by Christian Stump