***************************************************************************** * 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: St001381 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The fertility of a permutation. This is the size of the preimage of a permutation $\pi$ under the stack-sorting map $s$ defined by Julian West. For a partial permutation $\pi = \pi_1 \cdots \pi_n$ define $s(\pi)$ recursively as follows: * If the $n\leq 1$ set $s(\pi) = \pi$. * Otherwise, let $m$ be the largest entry in $\pi$, write $\pi=LmR$ and define $s(\pi) = s(L)s(R)m$. ----------------------------------------------------------------------------- References: [1] West, J. Permutations with forbidden subsequences and stack-sortable permutations [[MathSciNet:2716312]] [2] Defant, C. Fertility Numbers [[arXiv:1809.04421]] ----------------------------------------------------------------------------- Code: def stacksort(perm): perm = list(perm) if len(perm) <= 1: return perm n = max(perm) i_n = perm.index(n) L = perm[:i_n] R = perm[i_n+1:] return stacksort(L) + stacksort(R) + [n] @cached_function def fertility_Sn(n): stack_sorted = dict() S_n = Permutations(n) for perm in S_n: stack_sorted[perm] = list() for perm in S_n: stack_sorted[Permutation(stacksort(perm))].append(perm) fertility = dict() for perm in S_n: fertility[perm]=len(stack_sorted[perm]) return fertility def statistic(x): return fertility_Sn(len(x))[x] ----------------------------------------------------------------------------- Statistic values: [1] => 1 [1,2] => 2 [2,1] => 0 [1,2,3] => 5 [1,3,2] => 0 [2,1,3] => 1 [2,3,1] => 0 [3,1,2] => 0 [3,2,1] => 0 [1,2,3,4] => 14 [1,2,4,3] => 0 [1,3,2,4] => 2 [1,3,4,2] => 0 [1,4,2,3] => 0 [1,4,3,2] => 0 [2,1,3,4] => 4 [2,1,4,3] => 0 [2,3,1,4] => 2 [2,3,4,1] => 0 [2,4,1,3] => 0 [2,4,3,1] => 0 [3,1,2,4] => 2 [3,1,4,2] => 0 [3,2,1,4] => 0 [3,2,4,1] => 0 [3,4,1,2] => 0 [3,4,2,1] => 0 [4,1,2,3] => 0 [4,1,3,2] => 0 [4,2,1,3] => 0 [4,2,3,1] => 0 [4,3,1,2] => 0 [4,3,2,1] => 0 [1,2,3,4,5] => 42 [1,2,3,5,4] => 0 [1,2,4,3,5] => 5 [1,2,4,5,3] => 0 [1,2,5,3,4] => 0 [1,2,5,4,3] => 0 [1,3,2,4,5] => 9 [1,3,2,5,4] => 0 [1,3,4,2,5] => 5 [1,3,4,5,2] => 0 [1,3,5,2,4] => 0 [1,3,5,4,2] => 0 [1,4,2,3,5] => 4 [1,4,2,5,3] => 0 [1,4,3,2,5] => 0 [1,4,3,5,2] => 0 [1,4,5,2,3] => 0 [1,4,5,3,2] => 0 [1,5,2,3,4] => 0 [1,5,2,4,3] => 0 [1,5,3,2,4] => 0 [1,5,3,4,2] => 0 [1,5,4,2,3] => 0 [1,5,4,3,2] => 0 [2,1,3,4,5] => 14 [2,1,3,5,4] => 0 [2,1,4,3,5] => 1 [2,1,4,5,3] => 0 [2,1,5,3,4] => 0 [2,1,5,4,3] => 0 [2,3,1,4,5] => 9 [2,3,1,5,4] => 0 [2,3,4,1,5] => 5 [2,3,4,5,1] => 0 [2,3,5,1,4] => 0 [2,3,5,4,1] => 0 [2,4,1,3,5] => 4 [2,4,1,5,3] => 0 [2,4,3,1,5] => 0 [2,4,3,5,1] => 0 [2,4,5,1,3] => 0 [2,4,5,3,1] => 0 [2,5,1,3,4] => 0 [2,5,1,4,3] => 0 [2,5,3,1,4] => 0 [2,5,3,4,1] => 0 [2,5,4,1,3] => 0 [2,5,4,3,1] => 0 [3,1,2,4,5] => 9 [3,1,2,5,4] => 0 [3,1,4,2,5] => 1 [3,1,4,5,2] => 0 [3,1,5,2,4] => 0 [3,1,5,4,2] => 0 [3,2,1,4,5] => 1 [3,2,1,5,4] => 0 [3,2,4,1,5] => 1 [3,2,4,5,1] => 0 [3,2,5,1,4] => 0 [3,2,5,4,1] => 0 [3,4,1,2,5] => 4 [3,4,1,5,2] => 0 [3,4,2,1,5] => 0 [3,4,2,5,1] => 0 [3,4,5,1,2] => 0 [3,4,5,2,1] => 0 [3,5,1,2,4] => 0 [3,5,1,4,2] => 0 [3,5,2,1,4] => 0 [3,5,2,4,1] => 0 [3,5,4,1,2] => 0 [3,5,4,2,1] => 0 [4,1,2,3,5] => 5 [4,1,2,5,3] => 0 [4,1,3,2,5] => 0 [4,1,3,5,2] => 0 [4,1,5,2,3] => 0 [4,1,5,3,2] => 0 [4,2,1,3,5] => 1 [4,2,1,5,3] => 0 [4,2,3,1,5] => 0 [4,2,3,5,1] => 0 [4,2,5,1,3] => 0 [4,2,5,3,1] => 0 [4,3,1,2,5] => 0 [4,3,1,5,2] => 0 [4,3,2,1,5] => 0 [4,3,2,5,1] => 0 [4,3,5,1,2] => 0 [4,3,5,2,1] => 0 [4,5,1,2,3] => 0 [4,5,1,3,2] => 0 [4,5,2,1,3] => 0 [4,5,2,3,1] => 0 [4,5,3,1,2] => 0 [4,5,3,2,1] => 0 [5,1,2,3,4] => 0 [5,1,2,4,3] => 0 [5,1,3,2,4] => 0 [5,1,3,4,2] => 0 [5,1,4,2,3] => 0 [5,1,4,3,2] => 0 [5,2,1,3,4] => 0 [5,2,1,4,3] => 0 [5,2,3,1,4] => 0 [5,2,3,4,1] => 0 [5,2,4,1,3] => 0 [5,2,4,3,1] => 0 [5,3,1,2,4] => 0 [5,3,1,4,2] => 0 [5,3,2,1,4] => 0 [5,3,2,4,1] => 0 [5,3,4,1,2] => 0 [5,3,4,2,1] => 0 [5,4,1,2,3] => 0 [5,4,1,3,2] => 0 [5,4,2,1,3] => 0 [5,4,2,3,1] => 0 [5,4,3,1,2] => 0 [5,4,3,2,1] => 0 [1,2,3,4,5,6] => 132 [1,2,3,4,6,5] => 0 [1,2,3,5,4,6] => 14 [1,2,3,5,6,4] => 0 [1,2,3,6,4,5] => 0 [1,2,3,6,5,4] => 0 [1,2,4,3,5,6] => 24 [1,2,4,3,6,5] => 0 [1,2,4,5,3,6] => 14 [1,2,4,5,6,3] => 0 [1,2,4,6,3,5] => 0 [1,2,4,6,5,3] => 0 [1,2,5,3,4,6] => 10 [1,2,5,3,6,4] => 0 [1,2,5,4,3,6] => 0 [1,2,5,4,6,3] => 0 [1,2,5,6,3,4] => 0 [1,2,5,6,4,3] => 0 [1,2,6,3,4,5] => 0 [1,2,6,3,5,4] => 0 [1,2,6,4,3,5] => 0 [1,2,6,4,5,3] => 0 [1,2,6,5,3,4] => 0 [1,2,6,5,4,3] => 0 [1,3,2,4,5,6] => 34 [1,3,2,4,6,5] => 0 [1,3,2,5,4,6] => 2 [1,3,2,5,6,4] => 0 [1,3,2,6,4,5] => 0 [1,3,2,6,5,4] => 0 [1,3,4,2,5,6] => 24 [1,3,4,2,6,5] => 0 [1,3,4,5,2,6] => 14 [1,3,4,5,6,2] => 0 [1,3,4,6,2,5] => 0 [1,3,4,6,5,2] => 0 [1,3,5,2,4,6] => 10 [1,3,5,2,6,4] => 0 [1,3,5,4,2,6] => 0 [1,3,5,4,6,2] => 0 [1,3,5,6,2,4] => 0 [1,3,5,6,4,2] => 0 [1,3,6,2,4,5] => 0 [1,3,6,2,5,4] => 0 [1,3,6,4,2,5] => 0 [1,3,6,4,5,2] => 0 [1,3,6,5,2,4] => 0 [1,3,6,5,4,2] => 0 [1,4,2,3,5,6] => 20 [1,4,2,3,6,5] => 0 [1,4,2,5,3,6] => 2 [1,4,2,5,6,3] => 0 [1,4,2,6,3,5] => 0 [1,4,2,6,5,3] => 0 [1,4,3,2,5,6] => 2 [1,4,3,2,6,5] => 0 [1,4,3,5,2,6] => 2 [1,4,3,5,6,2] => 0 [1,4,3,6,2,5] => 0 [1,4,3,6,5,2] => 0 [1,4,5,2,3,6] => 10 [1,4,5,2,6,3] => 0 [1,4,5,3,2,6] => 0 [1,4,5,3,6,2] => 0 [1,4,5,6,2,3] => 0 [1,4,5,6,3,2] => 0 [1,4,6,2,3,5] => 0 [1,4,6,2,5,3] => 0 [1,4,6,3,2,5] => 0 [1,4,6,3,5,2] => 0 [1,4,6,5,2,3] => 0 [1,4,6,5,3,2] => 0 [1,5,2,3,4,6] => 10 [1,5,2,3,6,4] => 0 [1,5,2,4,3,6] => 0 [1,5,2,4,6,3] => 0 [1,5,2,6,3,4] => 0 [1,5,2,6,4,3] => 0 [1,5,3,2,4,6] => 2 [1,5,3,2,6,4] => 0 [1,5,3,4,2,6] => 0 [1,5,3,4,6,2] => 0 [1,5,3,6,2,4] => 0 [1,5,3,6,4,2] => 0 [1,5,4,2,3,6] => 0 [1,5,4,2,6,3] => 0 [1,5,4,3,2,6] => 0 [1,5,4,3,6,2] => 0 [1,5,4,6,2,3] => 0 [1,5,4,6,3,2] => 0 [1,5,6,2,3,4] => 0 [1,5,6,2,4,3] => 0 [1,5,6,3,2,4] => 0 [1,5,6,3,4,2] => 0 [1,5,6,4,2,3] => 0 [1,5,6,4,3,2] => 0 [1,6,2,3,4,5] => 0 [1,6,2,3,5,4] => 0 [1,6,2,4,3,5] => 0 [1,6,2,4,5,3] => 0 [1,6,2,5,3,4] => 0 [1,6,2,5,4,3] => 0 [1,6,3,2,4,5] => 0 [1,6,3,2,5,4] => 0 [1,6,3,4,2,5] => 0 [1,6,3,4,5,2] => 0 [1,6,3,5,2,4] => 0 [1,6,3,5,4,2] => 0 [1,6,4,2,3,5] => 0 [1,6,4,2,5,3] => 0 [1,6,4,3,2,5] => 0 [1,6,4,3,5,2] => 0 [1,6,4,5,2,3] => 0 [1,6,4,5,3,2] => 0 [1,6,5,2,3,4] => 0 [1,6,5,2,4,3] => 0 [1,6,5,3,2,4] => 0 [1,6,5,3,4,2] => 0 [1,6,5,4,2,3] => 0 [1,6,5,4,3,2] => 0 [2,1,3,4,5,6] => 48 [2,1,3,4,6,5] => 0 [2,1,3,5,4,6] => 4 [2,1,3,5,6,4] => 0 [2,1,3,6,4,5] => 0 [2,1,3,6,5,4] => 0 [2,1,4,3,5,6] => 6 [2,1,4,3,6,5] => 0 [2,1,4,5,3,6] => 4 [2,1,4,5,6,3] => 0 [2,1,4,6,3,5] => 0 [2,1,4,6,5,3] => 0 [2,1,5,3,4,6] => 2 [2,1,5,3,6,4] => 0 [2,1,5,4,3,6] => 0 [2,1,5,4,6,3] => 0 [2,1,5,6,3,4] => 0 [2,1,5,6,4,3] => 0 [2,1,6,3,4,5] => 0 [2,1,6,3,5,4] => 0 [2,1,6,4,3,5] => 0 [2,1,6,4,5,3] => 0 [2,1,6,5,3,4] => 0 [2,1,6,5,4,3] => 0 [2,3,1,4,5,6] => 34 [2,3,1,4,6,5] => 0 [2,3,1,5,4,6] => 2 [2,3,1,5,6,4] => 0 [2,3,1,6,4,5] => 0 [2,3,1,6,5,4] => 0 [2,3,4,1,5,6] => 24 [2,3,4,1,6,5] => 0 [2,3,4,5,1,6] => 14 [2,3,4,5,6,1] => 0 [2,3,4,6,1,5] => 0 [2,3,4,6,5,1] => 0 [2,3,5,1,4,6] => 10 [2,3,5,1,6,4] => 0 [2,3,5,4,1,6] => 0 [2,3,5,4,6,1] => 0 [2,3,5,6,1,4] => 0 [2,3,5,6,4,1] => 0 [2,3,6,1,4,5] => 0 [2,3,6,1,5,4] => 0 [2,3,6,4,1,5] => 0 [2,3,6,4,5,1] => 0 [2,3,6,5,1,4] => 0 [2,3,6,5,4,1] => 0 [2,4,1,3,5,6] => 20 [2,4,1,3,6,5] => 0 [2,4,1,5,3,6] => 2 [2,4,1,5,6,3] => 0 [2,4,1,6,3,5] => 0 [2,4,1,6,5,3] => 0 [2,4,3,1,5,6] => 2 [2,4,3,1,6,5] => 0 [2,4,3,5,1,6] => 2 [2,4,3,5,6,1] => 0 [2,4,3,6,1,5] => 0 [2,4,3,6,5,1] => 0 [2,4,5,1,3,6] => 10 [2,4,5,1,6,3] => 0 [2,4,5,3,1,6] => 0 [2,4,5,3,6,1] => 0 [2,4,5,6,1,3] => 0 [2,4,5,6,3,1] => 0 [2,4,6,1,3,5] => 0 [2,4,6,1,5,3] => 0 [2,4,6,3,1,5] => 0 [2,4,6,3,5,1] => 0 [2,4,6,5,1,3] => 0 [2,4,6,5,3,1] => 0 [2,5,1,3,4,6] => 10 [2,5,1,3,6,4] => 0 [2,5,1,4,3,6] => 0 [2,5,1,4,6,3] => 0 [2,5,1,6,3,4] => 0 [2,5,1,6,4,3] => 0 [2,5,3,1,4,6] => 2 [2,5,3,1,6,4] => 0 [2,5,3,4,1,6] => 0 [2,5,3,4,6,1] => 0 [2,5,3,6,1,4] => 0 [2,5,3,6,4,1] => 0 [2,5,4,1,3,6] => 0 [2,5,4,1,6,3] => 0 [2,5,4,3,1,6] => 0 [2,5,4,3,6,1] => 0 [2,5,4,6,1,3] => 0 [2,5,4,6,3,1] => 0 [2,5,6,1,3,4] => 0 [2,5,6,1,4,3] => 0 [2,5,6,3,1,4] => 0 [2,5,6,3,4,1] => 0 [2,5,6,4,1,3] => 0 [2,5,6,4,3,1] => 0 [2,6,1,3,4,5] => 0 [2,6,1,3,5,4] => 0 [2,6,1,4,3,5] => 0 [2,6,1,4,5,3] => 0 [2,6,1,5,3,4] => 0 [2,6,1,5,4,3] => 0 [2,6,3,1,4,5] => 0 [2,6,3,1,5,4] => 0 [2,6,3,4,1,5] => 0 [2,6,3,4,5,1] => 0 [2,6,3,5,1,4] => 0 [2,6,3,5,4,1] => 0 [2,6,4,1,3,5] => 0 [2,6,4,1,5,3] => 0 [2,6,4,3,1,5] => 0 [2,6,4,3,5,1] => 0 [2,6,4,5,1,3] => 0 [2,6,4,5,3,1] => 0 [2,6,5,1,3,4] => 0 [2,6,5,1,4,3] => 0 [2,6,5,3,1,4] => 0 [2,6,5,3,4,1] => 0 [2,6,5,4,1,3] => 0 [2,6,5,4,3,1] => 0 [3,1,2,4,5,6] => 34 [3,1,2,4,6,5] => 0 [3,1,2,5,4,6] => 2 [3,1,2,5,6,4] => 0 [3,1,2,6,4,5] => 0 [3,1,2,6,5,4] => 0 [3,1,4,2,5,6] => 6 [3,1,4,2,6,5] => 0 [3,1,4,5,2,6] => 4 [3,1,4,5,6,2] => 0 [3,1,4,6,2,5] => 0 [3,1,4,6,5,2] => 0 [3,1,5,2,4,6] => 2 [3,1,5,2,6,4] => 0 [3,1,5,4,2,6] => 0 [3,1,5,4,6,2] => 0 [3,1,5,6,2,4] => 0 [3,1,5,6,4,2] => 0 [3,1,6,2,4,5] => 0 [3,1,6,2,5,4] => 0 [3,1,6,4,2,5] => 0 [3,1,6,4,5,2] => 0 [3,1,6,5,2,4] => 0 [3,1,6,5,4,2] => 0 [3,2,1,4,5,6] => 6 [3,2,1,4,6,5] => 0 [3,2,1,5,4,6] => 0 [3,2,1,5,6,4] => 0 [3,2,1,6,4,5] => 0 [3,2,1,6,5,4] => 0 [3,2,4,1,5,6] => 6 [3,2,4,1,6,5] => 0 [3,2,4,5,1,6] => 4 [3,2,4,5,6,1] => 0 [3,2,4,6,1,5] => 0 [3,2,4,6,5,1] => 0 [3,2,5,1,4,6] => 2 [3,2,5,1,6,4] => 0 [3,2,5,4,1,6] => 0 [3,2,5,4,6,1] => 0 [3,2,5,6,1,4] => 0 [3,2,5,6,4,1] => 0 [3,2,6,1,4,5] => 0 [3,2,6,1,5,4] => 0 [3,2,6,4,1,5] => 0 [3,2,6,4,5,1] => 0 [3,2,6,5,1,4] => 0 [3,2,6,5,4,1] => 0 [3,4,1,2,5,6] => 20 [3,4,1,2,6,5] => 0 [3,4,1,5,2,6] => 2 [3,4,1,5,6,2] => 0 [3,4,1,6,2,5] => 0 [3,4,1,6,5,2] => 0 [3,4,2,1,5,6] => 2 [3,4,2,1,6,5] => 0 [3,4,2,5,1,6] => 2 [3,4,2,5,6,1] => 0 [3,4,2,6,1,5] => 0 [3,4,2,6,5,1] => 0 [3,4,5,1,2,6] => 10 [3,4,5,1,6,2] => 0 [3,4,5,2,1,6] => 0 [3,4,5,2,6,1] => 0 [3,4,5,6,1,2] => 0 [3,4,5,6,2,1] => 0 [3,4,6,1,2,5] => 0 [3,4,6,1,5,2] => 0 [3,4,6,2,1,5] => 0 [3,4,6,2,5,1] => 0 [3,4,6,5,1,2] => 0 [3,4,6,5,2,1] => 0 [3,5,1,2,4,6] => 10 [3,5,1,2,6,4] => 0 [3,5,1,4,2,6] => 0 [3,5,1,4,6,2] => 0 [3,5,1,6,2,4] => 0 [3,5,1,6,4,2] => 0 [3,5,2,1,4,6] => 2 [3,5,2,1,6,4] => 0 [3,5,2,4,1,6] => 0 [3,5,2,4,6,1] => 0 [3,5,2,6,1,4] => 0 [3,5,2,6,4,1] => 0 [3,5,4,1,2,6] => 0 [3,5,4,1,6,2] => 0 [3,5,4,2,1,6] => 0 [3,5,4,2,6,1] => 0 [3,5,4,6,1,2] => 0 [3,5,4,6,2,1] => 0 [3,5,6,1,2,4] => 0 [3,5,6,1,4,2] => 0 [3,5,6,2,1,4] => 0 [3,5,6,2,4,1] => 0 [3,5,6,4,1,2] => 0 [3,5,6,4,2,1] => 0 [3,6,1,2,4,5] => 0 [3,6,1,2,5,4] => 0 [3,6,1,4,2,5] => 0 [3,6,1,4,5,2] => 0 [3,6,1,5,2,4] => 0 [3,6,1,5,4,2] => 0 [3,6,2,1,4,5] => 0 [3,6,2,1,5,4] => 0 [3,6,2,4,1,5] => 0 [3,6,2,4,5,1] => 0 [3,6,2,5,1,4] => 0 [3,6,2,5,4,1] => 0 [3,6,4,1,2,5] => 0 [3,6,4,1,5,2] => 0 [3,6,4,2,1,5] => 0 [3,6,4,2,5,1] => 0 [3,6,4,5,1,2] => 0 [3,6,4,5,2,1] => 0 [3,6,5,1,2,4] => 0 [3,6,5,1,4,2] => 0 [3,6,5,2,1,4] => 0 [3,6,5,2,4,1] => 0 [3,6,5,4,1,2] => 0 [3,6,5,4,2,1] => 0 [4,1,2,3,5,6] => 24 [4,1,2,3,6,5] => 0 [4,1,2,5,3,6] => 2 [4,1,2,5,6,3] => 0 [4,1,2,6,3,5] => 0 [4,1,2,6,5,3] => 0 [4,1,3,2,5,6] => 2 [4,1,3,2,6,5] => 0 [4,1,3,5,2,6] => 2 [4,1,3,5,6,2] => 0 [4,1,3,6,2,5] => 0 [4,1,3,6,5,2] => 0 [4,1,5,2,3,6] => 2 [4,1,5,2,6,3] => 0 [4,1,5,3,2,6] => 0 [4,1,5,3,6,2] => 0 [4,1,5,6,2,3] => 0 [4,1,5,6,3,2] => 0 [4,1,6,2,3,5] => 0 [4,1,6,2,5,3] => 0 [4,1,6,3,2,5] => 0 [4,1,6,3,5,2] => 0 [4,1,6,5,2,3] => 0 [4,1,6,5,3,2] => 0 [4,2,1,3,5,6] => 6 [4,2,1,3,6,5] => 0 [4,2,1,5,3,6] => 0 [4,2,1,5,6,3] => 0 [4,2,1,6,3,5] => 0 [4,2,1,6,5,3] => 0 [4,2,3,1,5,6] => 2 [4,2,3,1,6,5] => 0 [4,2,3,5,1,6] => 2 [4,2,3,5,6,1] => 0 [4,2,3,6,1,5] => 0 [4,2,3,6,5,1] => 0 [4,2,5,1,3,6] => 2 [4,2,5,1,6,3] => 0 [4,2,5,3,1,6] => 0 [4,2,5,3,6,1] => 0 [4,2,5,6,1,3] => 0 [4,2,5,6,3,1] => 0 [4,2,6,1,3,5] => 0 [4,2,6,1,5,3] => 0 [4,2,6,3,1,5] => 0 [4,2,6,3,5,1] => 0 [4,2,6,5,1,3] => 0 [4,2,6,5,3,1] => 0 [4,3,1,2,5,6] => 2 [4,3,1,2,6,5] => 0 [4,3,1,5,2,6] => 0 [4,3,1,5,6,2] => 0 [4,3,1,6,2,5] => 0 [4,3,1,6,5,2] => 0 [4,3,2,1,5,6] => 0 [4,3,2,1,6,5] => 0 [4,3,2,5,1,6] => 0 [4,3,2,5,6,1] => 0 [4,3,2,6,1,5] => 0 [4,3,2,6,5,1] => 0 [4,3,5,1,2,6] => 2 [4,3,5,1,6,2] => 0 [4,3,5,2,1,6] => 0 [4,3,5,2,6,1] => 0 [4,3,5,6,1,2] => 0 [4,3,5,6,2,1] => 0 [4,3,6,1,2,5] => 0 [4,3,6,1,5,2] => 0 [4,3,6,2,1,5] => 0 [4,3,6,2,5,1] => 0 [4,3,6,5,1,2] => 0 [4,3,6,5,2,1] => 0 [4,5,1,2,3,6] => 10 [4,5,1,2,6,3] => 0 [4,5,1,3,2,6] => 0 [4,5,1,3,6,2] => 0 [4,5,1,6,2,3] => 0 [4,5,1,6,3,2] => 0 [4,5,2,1,3,6] => 2 [4,5,2,1,6,3] => 0 [4,5,2,3,1,6] => 0 [4,5,2,3,6,1] => 0 [4,5,2,6,1,3] => 0 [4,5,2,6,3,1] => 0 [4,5,3,1,2,6] => 0 [4,5,3,1,6,2] => 0 [4,5,3,2,1,6] => 0 [4,5,3,2,6,1] => 0 [4,5,3,6,1,2] => 0 [4,5,3,6,2,1] => 0 [4,5,6,1,2,3] => 0 [4,5,6,1,3,2] => 0 [4,5,6,2,1,3] => 0 [4,5,6,2,3,1] => 0 [4,5,6,3,1,2] => 0 [4,5,6,3,2,1] => 0 [4,6,1,2,3,5] => 0 [4,6,1,2,5,3] => 0 [4,6,1,3,2,5] => 0 [4,6,1,3,5,2] => 0 [4,6,1,5,2,3] => 0 [4,6,1,5,3,2] => 0 [4,6,2,1,3,5] => 0 [4,6,2,1,5,3] => 0 [4,6,2,3,1,5] => 0 [4,6,2,3,5,1] => 0 [4,6,2,5,1,3] => 0 [4,6,2,5,3,1] => 0 [4,6,3,1,2,5] => 0 [4,6,3,1,5,2] => 0 [4,6,3,2,1,5] => 0 [4,6,3,2,5,1] => 0 [4,6,3,5,1,2] => 0 [4,6,3,5,2,1] => 0 [4,6,5,1,2,3] => 0 [4,6,5,1,3,2] => 0 [4,6,5,2,1,3] => 0 [4,6,5,2,3,1] => 0 [4,6,5,3,1,2] => 0 [4,6,5,3,2,1] => 0 [5,1,2,3,4,6] => 14 [5,1,2,3,6,4] => 0 [5,1,2,4,3,6] => 0 [5,1,2,4,6,3] => 0 [5,1,2,6,3,4] => 0 [5,1,2,6,4,3] => 0 [5,1,3,2,4,6] => 2 [5,1,3,2,6,4] => 0 [5,1,3,4,2,6] => 0 [5,1,3,4,6,2] => 0 [5,1,3,6,2,4] => 0 [5,1,3,6,4,2] => 0 [5,1,4,2,3,6] => 0 [5,1,4,2,6,3] => 0 [5,1,4,3,2,6] => 0 [5,1,4,3,6,2] => 0 [5,1,4,6,2,3] => 0 [5,1,4,6,3,2] => 0 [5,1,6,2,3,4] => 0 [5,1,6,2,4,3] => 0 [5,1,6,3,2,4] => 0 [5,1,6,3,4,2] => 0 [5,1,6,4,2,3] => 0 [5,1,6,4,3,2] => 0 [5,2,1,3,4,6] => 4 [5,2,1,3,6,4] => 0 [5,2,1,4,3,6] => 0 [5,2,1,4,6,3] => 0 [5,2,1,6,3,4] => 0 [5,2,1,6,4,3] => 0 [5,2,3,1,4,6] => 2 [5,2,3,1,6,4] => 0 [5,2,3,4,1,6] => 0 [5,2,3,4,6,1] => 0 [5,2,3,6,1,4] => 0 [5,2,3,6,4,1] => 0 [5,2,4,1,3,6] => 0 [5,2,4,1,6,3] => 0 [5,2,4,3,1,6] => 0 [5,2,4,3,6,1] => 0 [5,2,4,6,1,3] => 0 [5,2,4,6,3,1] => 0 [5,2,6,1,3,4] => 0 [5,2,6,1,4,3] => 0 [5,2,6,3,1,4] => 0 [5,2,6,3,4,1] => 0 [5,2,6,4,1,3] => 0 [5,2,6,4,3,1] => 0 [5,3,1,2,4,6] => 2 [5,3,1,2,6,4] => 0 [5,3,1,4,2,6] => 0 [5,3,1,4,6,2] => 0 [5,3,1,6,2,4] => 0 [5,3,1,6,4,2] => 0 [5,3,2,1,4,6] => 0 [5,3,2,1,6,4] => 0 [5,3,2,4,1,6] => 0 [5,3,2,4,6,1] => 0 [5,3,2,6,1,4] => 0 [5,3,2,6,4,1] => 0 [5,3,4,1,2,6] => 0 [5,3,4,1,6,2] => 0 [5,3,4,2,1,6] => 0 [5,3,4,2,6,1] => 0 [5,3,4,6,1,2] => 0 [5,3,4,6,2,1] => 0 [5,3,6,1,2,4] => 0 [5,3,6,1,4,2] => 0 [5,3,6,2,1,4] => 0 [5,3,6,2,4,1] => 0 [5,3,6,4,1,2] => 0 [5,3,6,4,2,1] => 0 [5,4,1,2,3,6] => 0 [5,4,1,2,6,3] => 0 [5,4,1,3,2,6] => 0 [5,4,1,3,6,2] => 0 [5,4,1,6,2,3] => 0 [5,4,1,6,3,2] => 0 [5,4,2,1,3,6] => 0 [5,4,2,1,6,3] => 0 [5,4,2,3,1,6] => 0 [5,4,2,3,6,1] => 0 [5,4,2,6,1,3] => 0 [5,4,2,6,3,1] => 0 [5,4,3,1,2,6] => 0 [5,4,3,1,6,2] => 0 [5,4,3,2,1,6] => 0 [5,4,3,2,6,1] => 0 [5,4,3,6,1,2] => 0 [5,4,3,6,2,1] => 0 [5,4,6,1,2,3] => 0 [5,4,6,1,3,2] => 0 [5,4,6,2,1,3] => 0 [5,4,6,2,3,1] => 0 [5,4,6,3,1,2] => 0 [5,4,6,3,2,1] => 0 [5,6,1,2,3,4] => 0 [5,6,1,2,4,3] => 0 [5,6,1,3,2,4] => 0 [5,6,1,3,4,2] => 0 [5,6,1,4,2,3] => 0 [5,6,1,4,3,2] => 0 [5,6,2,1,3,4] => 0 [5,6,2,1,4,3] => 0 [5,6,2,3,1,4] => 0 [5,6,2,3,4,1] => 0 [5,6,2,4,1,3] => 0 [5,6,2,4,3,1] => 0 [5,6,3,1,2,4] => 0 [5,6,3,1,4,2] => 0 [5,6,3,2,1,4] => 0 [5,6,3,2,4,1] => 0 [5,6,3,4,1,2] => 0 [5,6,3,4,2,1] => 0 [5,6,4,1,2,3] => 0 [5,6,4,1,3,2] => 0 [5,6,4,2,1,3] => 0 [5,6,4,2,3,1] => 0 [5,6,4,3,1,2] => 0 [5,6,4,3,2,1] => 0 [6,1,2,3,4,5] => 0 [6,1,2,3,5,4] => 0 [6,1,2,4,3,5] => 0 [6,1,2,4,5,3] => 0 [6,1,2,5,3,4] => 0 [6,1,2,5,4,3] => 0 [6,1,3,2,4,5] => 0 [6,1,3,2,5,4] => 0 [6,1,3,4,2,5] => 0 [6,1,3,4,5,2] => 0 [6,1,3,5,2,4] => 0 [6,1,3,5,4,2] => 0 [6,1,4,2,3,5] => 0 [6,1,4,2,5,3] => 0 [6,1,4,3,2,5] => 0 [6,1,4,3,5,2] => 0 [6,1,4,5,2,3] => 0 [6,1,4,5,3,2] => 0 [6,1,5,2,3,4] => 0 [6,1,5,2,4,3] => 0 [6,1,5,3,2,4] => 0 [6,1,5,3,4,2] => 0 [6,1,5,4,2,3] => 0 [6,1,5,4,3,2] => 0 [6,2,1,3,4,5] => 0 [6,2,1,3,5,4] => 0 [6,2,1,4,3,5] => 0 [6,2,1,4,5,3] => 0 [6,2,1,5,3,4] => 0 [6,2,1,5,4,3] => 0 [6,2,3,1,4,5] => 0 [6,2,3,1,5,4] => 0 [6,2,3,4,1,5] => 0 [6,2,3,4,5,1] => 0 [6,2,3,5,1,4] => 0 [6,2,3,5,4,1] => 0 [6,2,4,1,3,5] => 0 [6,2,4,1,5,3] => 0 [6,2,4,3,1,5] => 0 [6,2,4,3,5,1] => 0 [6,2,4,5,1,3] => 0 [6,2,4,5,3,1] => 0 [6,2,5,1,3,4] => 0 [6,2,5,1,4,3] => 0 [6,2,5,3,1,4] => 0 [6,2,5,3,4,1] => 0 [6,2,5,4,1,3] => 0 [6,2,5,4,3,1] => 0 [6,3,1,2,4,5] => 0 [6,3,1,2,5,4] => 0 [6,3,1,4,2,5] => 0 [6,3,1,4,5,2] => 0 [6,3,1,5,2,4] => 0 [6,3,1,5,4,2] => 0 [6,3,2,1,4,5] => 0 [6,3,2,1,5,4] => 0 [6,3,2,4,1,5] => 0 [6,3,2,4,5,1] => 0 [6,3,2,5,1,4] => 0 [6,3,2,5,4,1] => 0 [6,3,4,1,2,5] => 0 [6,3,4,1,5,2] => 0 [6,3,4,2,1,5] => 0 [6,3,4,2,5,1] => 0 [6,3,4,5,1,2] => 0 [6,3,4,5,2,1] => 0 [6,3,5,1,2,4] => 0 [6,3,5,1,4,2] => 0 [6,3,5,2,1,4] => 0 [6,3,5,2,4,1] => 0 [6,3,5,4,1,2] => 0 [6,3,5,4,2,1] => 0 [6,4,1,2,3,5] => 0 [6,4,1,2,5,3] => 0 [6,4,1,3,2,5] => 0 [6,4,1,3,5,2] => 0 [6,4,1,5,2,3] => 0 [6,4,1,5,3,2] => 0 [6,4,2,1,3,5] => 0 [6,4,2,1,5,3] => 0 [6,4,2,3,1,5] => 0 [6,4,2,3,5,1] => 0 [6,4,2,5,1,3] => 0 [6,4,2,5,3,1] => 0 [6,4,3,1,2,5] => 0 [6,4,3,1,5,2] => 0 [6,4,3,2,1,5] => 0 [6,4,3,2,5,1] => 0 [6,4,3,5,1,2] => 0 [6,4,3,5,2,1] => 0 [6,4,5,1,2,3] => 0 [6,4,5,1,3,2] => 0 [6,4,5,2,1,3] => 0 [6,4,5,2,3,1] => 0 [6,4,5,3,1,2] => 0 [6,4,5,3,2,1] => 0 [6,5,1,2,3,4] => 0 [6,5,1,2,4,3] => 0 [6,5,1,3,2,4] => 0 [6,5,1,3,4,2] => 0 [6,5,1,4,2,3] => 0 [6,5,1,4,3,2] => 0 [6,5,2,1,3,4] => 0 [6,5,2,1,4,3] => 0 [6,5,2,3,1,4] => 0 [6,5,2,3,4,1] => 0 [6,5,2,4,1,3] => 0 [6,5,2,4,3,1] => 0 [6,5,3,1,2,4] => 0 [6,5,3,1,4,2] => 0 [6,5,3,2,1,4] => 0 [6,5,3,2,4,1] => 0 [6,5,3,4,1,2] => 0 [6,5,3,4,2,1] => 0 [6,5,4,1,2,3] => 0 [6,5,4,1,3,2] => 0 [6,5,4,2,1,3] => 0 [6,5,4,2,3,1] => 0 [6,5,4,3,1,2] => 0 [6,5,4,3,2,1] => 0 [1,2,3,4,5,6,7] => 429 [1,2,3,4,5,7,6] => 0 [1,2,3,4,6,5,7] => 42 [1,2,3,4,6,7,5] => 0 [1,2,3,4,7,5,6] => 0 [1,2,3,4,7,6,5] => 0 [1,2,3,5,4,6,7] => 70 [1,2,3,5,4,7,6] => 0 [1,2,3,5,6,4,7] => 42 [1,2,3,5,6,7,4] => 0 [1,2,3,5,7,4,6] => 0 [1,2,3,5,7,6,4] => 0 [1,2,3,6,4,5,7] => 28 [1,2,3,6,4,7,5] => 0 [1,2,3,6,5,4,7] => 0 [1,2,3,6,5,7,4] => 0 [1,2,3,6,7,4,5] => 0 [1,2,3,6,7,5,4] => 0 [1,2,3,7,4,5,6] => 0 [1,2,3,7,4,6,5] => 0 [1,2,3,7,5,4,6] => 0 [1,2,3,7,5,6,4] => 0 [1,2,3,7,6,4,5] => 0 [1,2,3,7,6,5,4] => 0 [1,2,4,3,5,6,7] => 95 [1,2,4,3,5,7,6] => 0 [1,2,4,3,6,5,7] => 5 [1,2,4,3,6,7,5] => 0 [1,2,4,3,7,5,6] => 0 [1,2,4,3,7,6,5] => 0 [1,2,4,5,3,6,7] => 70 [1,2,4,5,3,7,6] => 0 [1,2,4,5,6,3,7] => 42 [1,2,4,5,6,7,3] => 0 [1,2,4,5,7,3,6] => 0 [1,2,4,5,7,6,3] => 0 [1,2,4,6,3,5,7] => 28 [1,2,4,6,3,7,5] => 0 [1,2,4,6,5,3,7] => 0 [1,2,4,6,5,7,3] => 0 [1,2,4,6,7,3,5] => 0 [1,2,4,6,7,5,3] => 0 [1,2,4,7,3,5,6] => 0 [1,2,4,7,3,6,5] => 0 [1,2,4,7,5,3,6] => 0 [1,2,4,7,5,6,3] => 0 [1,2,4,7,6,3,5] => 0 [1,2,4,7,6,5,3] => 0 [1,2,5,3,4,6,7] => 53 [1,2,5,3,4,7,6] => 0 [1,2,5,3,6,4,7] => 5 [1,2,5,3,6,7,4] => 0 [1,2,5,3,7,4,6] => 0 [1,2,5,3,7,6,4] => 0 [1,2,5,4,3,6,7] => 5 [1,2,5,4,3,7,6] => 0 [1,2,5,4,6,3,7] => 5 [1,2,5,4,6,7,3] => 0 [1,2,5,4,7,3,6] => 0 [1,2,5,4,7,6,3] => 0 [1,2,5,6,3,4,7] => 28 [1,2,5,6,3,7,4] => 0 [1,2,5,6,4,3,7] => 0 [1,2,5,6,4,7,3] => 0 [1,2,5,6,7,3,4] => 0 [1,2,5,6,7,4,3] => 0 [1,2,5,7,3,4,6] => 0 [1,2,5,7,3,6,4] => 0 [1,2,5,7,4,3,6] => 0 [1,2,5,7,4,6,3] => 0 [1,2,5,7,6,3,4] => 0 [1,2,5,7,6,4,3] => 0 [1,2,6,3,4,5,7] => 25 [1,2,6,3,4,7,5] => 0 [1,2,6,3,5,4,7] => 0 [1,2,6,3,5,7,4] => 0 [1,2,6,3,7,4,5] => 0 [1,2,6,3,7,5,4] => 0 [1,2,6,4,3,5,7] => 5 [1,2,6,4,3,7,5] => 0 [1,2,6,4,5,3,7] => 0 [1,2,6,4,5,7,3] => 0 [1,2,6,4,7,3,5] => 0 [1,2,6,4,7,5,3] => 0 [1,2,6,5,3,4,7] => 0 [1,2,6,5,3,7,4] => 0 [1,2,6,5,4,3,7] => 0 [1,2,6,5,4,7,3] => 0 [1,2,6,5,7,3,4] => 0 [1,2,6,5,7,4,3] => 0 [1,2,6,7,3,4,5] => 0 [1,2,6,7,3,5,4] => 0 [1,2,6,7,4,3,5] => 0 [1,2,6,7,4,5,3] => 0 [1,2,6,7,5,3,4] => 0 [1,2,6,7,5,4,3] => 0 [1,2,7,3,4,5,6] => 0 [1,2,7,3,4,6,5] => 0 [1,2,7,3,5,4,6] => 0 [1,2,7,3,5,6,4] => 0 [1,2,7,3,6,4,5] => 0 [1,2,7,3,6,5,4] => 0 [1,2,7,4,3,5,6] => 0 [1,2,7,4,3,6,5] => 0 [1,2,7,4,5,3,6] => 0 [1,2,7,4,5,6,3] => 0 [1,2,7,4,6,3,5] => 0 [1,2,7,4,6,5,3] => 0 [1,2,7,5,3,4,6] => 0 [1,2,7,5,3,6,4] => 0 [1,2,7,5,4,3,6] => 0 [1,2,7,5,4,6,3] => 0 [1,2,7,5,6,3,4] => 0 [1,2,7,5,6,4,3] => 0 [1,2,7,6,3,4,5] => 0 [1,2,7,6,3,5,4] => 0 [1,2,7,6,4,3,5] => 0 [1,2,7,6,4,5,3] => 0 [1,2,7,6,5,3,4] => 0 [1,2,7,6,5,4,3] => 0 [1,3,2,4,5,6,7] => 123 [1,3,2,4,5,7,6] => 0 [1,3,2,4,6,5,7] => 9 [1,3,2,4,6,7,5] => 0 [1,3,2,4,7,5,6] => 0 [1,3,2,4,7,6,5] => 0 [1,3,2,5,4,6,7] => 13 [1,3,2,5,4,7,6] => 0 [1,3,2,5,6,4,7] => 9 [1,3,2,5,6,7,4] => 0 [1,3,2,5,7,4,6] => 0 [1,3,2,5,7,6,4] => 0 [1,3,2,6,4,5,7] => 4 [1,3,2,6,4,7,5] => 0 [1,3,2,6,5,4,7] => 0 [1,3,2,6,5,7,4] => 0 [1,3,2,6,7,4,5] => 0 [1,3,2,6,7,5,4] => 0 [1,3,2,7,4,5,6] => 0 [1,3,2,7,4,6,5] => 0 [1,3,2,7,5,4,6] => 0 [1,3,2,7,5,6,4] => 0 [1,3,2,7,6,4,5] => 0 [1,3,2,7,6,5,4] => 0 [1,3,4,2,5,6,7] => 95 [1,3,4,2,5,7,6] => 0 [1,3,4,2,6,5,7] => 5 [1,3,4,2,6,7,5] => 0 [1,3,4,2,7,5,6] => 0 [1,3,4,2,7,6,5] => 0 [1,3,4,5,2,6,7] => 70 [1,3,4,5,2,7,6] => 0 [1,3,4,5,6,2,7] => 42 [1,3,4,5,6,7,2] => 0 [1,3,4,5,7,2,6] => 0 [1,3,4,5,7,6,2] => 0 [1,3,4,6,2,5,7] => 28 [1,3,4,6,2,7,5] => 0 [1,3,4,6,5,2,7] => 0 [1,3,4,6,5,7,2] => 0 [1,3,4,6,7,2,5] => 0 [1,3,4,6,7,5,2] => 0 [1,3,4,7,2,5,6] => 0 [1,3,4,7,2,6,5] => 0 [1,3,4,7,5,2,6] => 0 [1,3,4,7,5,6,2] => 0 [1,3,4,7,6,2,5] => 0 [1,3,4,7,6,5,2] => 0 [1,3,5,2,4,6,7] => 53 [1,3,5,2,4,7,6] => 0 [1,3,5,2,6,4,7] => 5 [1,3,5,2,6,7,4] => 0 [1,3,5,2,7,4,6] => 0 [1,3,5,2,7,6,4] => 0 [1,3,5,4,2,6,7] => 5 [1,3,5,4,2,7,6] => 0 [1,3,5,4,6,2,7] => 5 [1,3,5,4,6,7,2] => 0 [1,3,5,4,7,2,6] => 0 [1,3,5,4,7,6,2] => 0 [1,3,5,6,2,4,7] => 28 [1,3,5,6,2,7,4] => 0 [1,3,5,6,4,2,7] => 0 [1,3,5,6,4,7,2] => 0 [1,3,5,6,7,2,4] => 0 [1,3,5,6,7,4,2] => 0 [1,3,5,7,2,4,6] => 0 [1,3,5,7,2,6,4] => 0 [1,3,5,7,4,2,6] => 0 [1,3,5,7,4,6,2] => 0 [1,3,5,7,6,2,4] => 0 [1,3,5,7,6,4,2] => 0 [1,3,6,2,4,5,7] => 25 [1,3,6,2,4,7,5] => 0 [1,3,6,2,5,4,7] => 0 [1,3,6,2,5,7,4] => 0 [1,3,6,2,7,4,5] => 0 [1,3,6,2,7,5,4] => 0 [1,3,6,4,2,5,7] => 5 [1,3,6,4,2,7,5] => 0 [1,3,6,4,5,2,7] => 0 [1,3,6,4,5,7,2] => 0 [1,3,6,4,7,2,5] => 0 [1,3,6,4,7,5,2] => 0 [1,3,6,5,2,4,7] => 0 [1,3,6,5,2,7,4] => 0 [1,3,6,5,4,2,7] => 0 [1,3,6,5,4,7,2] => 0 [1,3,6,5,7,2,4] => 0 [1,3,6,5,7,4,2] => 0 [1,3,6,7,2,4,5] => 0 [1,3,6,7,2,5,4] => 0 [1,3,6,7,4,2,5] => 0 [1,3,6,7,4,5,2] => 0 [1,3,6,7,5,2,4] => 0 [1,3,6,7,5,4,2] => 0 [1,3,7,2,4,5,6] => 0 [1,3,7,2,4,6,5] => 0 [1,3,7,2,5,4,6] => 0 [1,3,7,2,5,6,4] => 0 [1,3,7,2,6,4,5] => 0 [1,3,7,2,6,5,4] => 0 [1,3,7,4,2,5,6] => 0 [1,3,7,4,2,6,5] => 0 [1,3,7,4,5,2,6] => 0 [1,3,7,4,5,6,2] => 0 [1,3,7,4,6,2,5] => 0 [1,3,7,4,6,5,2] => 0 [1,3,7,5,2,4,6] => 0 [1,3,7,5,2,6,4] => 0 [1,3,7,5,4,2,6] => 0 [1,3,7,5,4,6,2] => 0 [1,3,7,5,6,2,4] => 0 [1,3,7,5,6,4,2] => 0 [1,3,7,6,2,4,5] => 0 [1,3,7,6,2,5,4] => 0 [1,3,7,6,4,2,5] => 0 [1,3,7,6,4,5,2] => 0 [1,3,7,6,5,2,4] => 0 [1,3,7,6,5,4,2] => 0 [1,4,2,3,5,6,7] => 81 [1,4,2,3,5,7,6] => 0 [1,4,2,3,6,5,7] => 4 [1,4,2,3,6,7,5] => 0 [1,4,2,3,7,5,6] => 0 [1,4,2,3,7,6,5] => 0 [1,4,2,5,3,6,7] => 13 [1,4,2,5,3,7,6] => 0 [1,4,2,5,6,3,7] => 9 [1,4,2,5,6,7,3] => 0 [1,4,2,5,7,3,6] => 0 [1,4,2,5,7,6,3] => 0 [1,4,2,6,3,5,7] => 4 [1,4,2,6,3,7,5] => 0 [1,4,2,6,5,3,7] => 0 [1,4,2,6,5,7,3] => 0 [1,4,2,6,7,3,5] => 0 [1,4,2,6,7,5,3] => 0 [1,4,2,7,3,5,6] => 0 [1,4,2,7,3,6,5] => 0 [1,4,2,7,5,3,6] => 0 [1,4,2,7,5,6,3] => 0 [1,4,2,7,6,3,5] => 0 [1,4,2,7,6,5,3] => 0 [1,4,3,2,5,6,7] => 13 [1,4,3,2,5,7,6] => 0 [1,4,3,2,6,5,7] => 0 [1,4,3,2,6,7,5] => 0 [1,4,3,2,7,5,6] => 0 [1,4,3,2,7,6,5] => 0 [1,4,3,5,2,6,7] => 13 [1,4,3,5,2,7,6] => 0 [1,4,3,5,6,2,7] => 9 [1,4,3,5,6,7,2] => 0 [1,4,3,5,7,2,6] => 0 [1,4,3,5,7,6,2] => 0 [1,4,3,6,2,5,7] => 4 [1,4,3,6,2,7,5] => 0 [1,4,3,6,5,2,7] => 0 [1,4,3,6,5,7,2] => 0 [1,4,3,6,7,2,5] => 0 [1,4,3,6,7,5,2] => 0 [1,4,3,7,2,5,6] => 0 [1,4,3,7,2,6,5] => 0 [1,4,3,7,5,2,6] => 0 [1,4,3,7,5,6,2] => 0 [1,4,3,7,6,2,5] => 0 [1,4,3,7,6,5,2] => 0 [1,4,5,2,3,6,7] => 53 [1,4,5,2,3,7,6] => 0 [1,4,5,2,6,3,7] => 5 [1,4,5,2,6,7,3] => 0 [1,4,5,2,7,3,6] => 0 [1,4,5,2,7,6,3] => 0 [1,4,5,3,2,6,7] => 5 [1,4,5,3,2,7,6] => 0 [1,4,5,3,6,2,7] => 5 [1,4,5,3,6,7,2] => 0 [1,4,5,3,7,2,6] => 0 [1,4,5,3,7,6,2] => 0 [1,4,5,6,2,3,7] => 28 [1,4,5,6,2,7,3] => 0 [1,4,5,6,3,2,7] => 0 [1,4,5,6,3,7,2] => 0 [1,4,5,6,7,2,3] => 0 [1,4,5,6,7,3,2] => 0 [1,4,5,7,2,3,6] => 0 [1,4,5,7,2,6,3] => 0 [1,4,5,7,3,2,6] => 0 [1,4,5,7,3,6,2] => 0 [1,4,5,7,6,2,3] => 0 [1,4,5,7,6,3,2] => 0 [1,4,6,2,3,5,7] => 25 [1,4,6,2,3,7,5] => 0 [1,4,6,2,5,3,7] => 0 [1,4,6,2,5,7,3] => 0 [1,4,6,2,7,3,5] => 0 [1,4,6,2,7,5,3] => 0 [1,4,6,3,2,5,7] => 5 [1,4,6,3,2,7,5] => 0 [1,4,6,3,5,2,7] => 0 [1,4,6,3,5,7,2] => 0 [1,4,6,3,7,2,5] => 0 [1,4,6,3,7,5,2] => 0 [1,4,6,5,2,3,7] => 0 [1,4,6,5,2,7,3] => 0 [1,4,6,5,3,2,7] => 0 ----------------------------------------------------------------------------- Created: Apr 15, 2019 at 14:08 by Tilman Moeller ----------------------------------------------------------------------------- Last Updated: Jan 17, 2020 at 00:29 by Martin Rubey