***************************************************************************** * 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: St001434 ----------------------------------------------------------------------------- Collection: Signed permutations ----------------------------------------------------------------------------- Description: The number of negative sum pairs of a signed permutation. The number of negative sum pairs of a signed permutation $\sigma$ is: $$\operatorname{nsp}(\sigma)=\big|\{1\leq i < j\leq n \mid \sigma(i)+\sigma(j) < 0\}\big|,$$ see [1, Eq.(8.1)]. ----------------------------------------------------------------------------- References: [1] Björner, A., Brenti, F. Combinatorics of Coxeter groups [[MathSciNet:2133266]] ----------------------------------------------------------------------------- Code: def statistic(pi): pi = list(pi) n = len(pi) return sum(1 for i in range(n) for j in range(i+1,n) if pi[i] + pi[j]<0) ----------------------------------------------------------------------------- Statistic values: [1] => 0 [-1] => 0 [1,2] => 0 [1,-2] => 1 [-1,2] => 0 [-1,-2] => 1 [2,1] => 0 [2,-1] => 0 [-2,1] => 1 [-2,-1] => 1 [1,2,3] => 0 [1,2,-3] => 2 [1,-2,3] => 1 [1,-2,-3] => 3 [-1,2,3] => 0 [-1,2,-3] => 2 [-1,-2,3] => 1 [-1,-2,-3] => 3 [1,3,2] => 0 [1,3,-2] => 1 [1,-3,2] => 2 [1,-3,-2] => 3 [-1,3,2] => 0 [-1,3,-2] => 1 [-1,-3,2] => 2 [-1,-3,-2] => 3 [2,1,3] => 0 [2,1,-3] => 2 [2,-1,3] => 0 [2,-1,-3] => 2 [-2,1,3] => 1 [-2,1,-3] => 3 [-2,-1,3] => 1 [-2,-1,-3] => 3 [2,3,1] => 0 [2,3,-1] => 0 [2,-3,1] => 2 [2,-3,-1] => 2 [-2,3,1] => 1 [-2,3,-1] => 1 [-2,-3,1] => 3 [-2,-3,-1] => 3 [3,1,2] => 0 [3,1,-2] => 1 [3,-1,2] => 0 [3,-1,-2] => 1 [-3,1,2] => 2 [-3,1,-2] => 3 [-3,-1,2] => 2 [-3,-1,-2] => 3 [3,2,1] => 0 [3,2,-1] => 0 [3,-2,1] => 1 [3,-2,-1] => 1 [-3,2,1] => 2 [-3,2,-1] => 2 [-3,-2,1] => 3 [-3,-2,-1] => 3 [1,2,3,4] => 0 [1,2,3,-4] => 3 [1,2,-3,4] => 2 [1,2,-3,-4] => 5 [1,-2,3,4] => 1 [1,-2,3,-4] => 4 [1,-2,-3,4] => 3 [1,-2,-3,-4] => 6 [-1,2,3,4] => 0 [-1,2,3,-4] => 3 [-1,2,-3,4] => 2 [-1,2,-3,-4] => 5 [-1,-2,3,4] => 1 [-1,-2,3,-4] => 4 [-1,-2,-3,4] => 3 [-1,-2,-3,-4] => 6 [1,2,4,3] => 0 [1,2,4,-3] => 2 [1,2,-4,3] => 3 [1,2,-4,-3] => 5 [1,-2,4,3] => 1 [1,-2,4,-3] => 3 [1,-2,-4,3] => 4 [1,-2,-4,-3] => 6 [-1,2,4,3] => 0 [-1,2,4,-3] => 2 [-1,2,-4,3] => 3 [-1,2,-4,-3] => 5 [-1,-2,4,3] => 1 [-1,-2,4,-3] => 3 [-1,-2,-4,3] => 4 [-1,-2,-4,-3] => 6 [1,3,2,4] => 0 [1,3,2,-4] => 3 [1,3,-2,4] => 1 [1,3,-2,-4] => 4 [1,-3,2,4] => 2 [1,-3,2,-4] => 5 [1,-3,-2,4] => 3 [1,-3,-2,-4] => 6 [-1,3,2,4] => 0 [-1,3,2,-4] => 3 [-1,3,-2,4] => 1 [-1,3,-2,-4] => 4 [-1,-3,2,4] => 2 [-1,-3,2,-4] => 5 [-1,-3,-2,4] => 3 [-1,-3,-2,-4] => 6 [1,3,4,2] => 0 [1,3,4,-2] => 1 [1,3,-4,2] => 3 [1,3,-4,-2] => 4 [1,-3,4,2] => 2 [1,-3,4,-2] => 3 [1,-3,-4,2] => 5 [1,-3,-4,-2] => 6 [-1,3,4,2] => 0 [-1,3,4,-2] => 1 [-1,3,-4,2] => 3 [-1,3,-4,-2] => 4 [-1,-3,4,2] => 2 [-1,-3,4,-2] => 3 [-1,-3,-4,2] => 5 [-1,-3,-4,-2] => 6 [1,4,2,3] => 0 [1,4,2,-3] => 2 [1,4,-2,3] => 1 [1,4,-2,-3] => 3 [1,-4,2,3] => 3 [1,-4,2,-3] => 5 [1,-4,-2,3] => 4 [1,-4,-2,-3] => 6 [-1,4,2,3] => 0 [-1,4,2,-3] => 2 [-1,4,-2,3] => 1 [-1,4,-2,-3] => 3 [-1,-4,2,3] => 3 [-1,-4,2,-3] => 5 [-1,-4,-2,3] => 4 [-1,-4,-2,-3] => 6 [1,4,3,2] => 0 [1,4,3,-2] => 1 [1,4,-3,2] => 2 [1,4,-3,-2] => 3 [1,-4,3,2] => 3 [1,-4,3,-2] => 4 [1,-4,-3,2] => 5 [1,-4,-3,-2] => 6 [-1,4,3,2] => 0 [-1,4,3,-2] => 1 [-1,4,-3,2] => 2 [-1,4,-3,-2] => 3 [-1,-4,3,2] => 3 [-1,-4,3,-2] => 4 [-1,-4,-3,2] => 5 [-1,-4,-3,-2] => 6 [2,1,3,4] => 0 [2,1,3,-4] => 3 [2,1,-3,4] => 2 [2,1,-3,-4] => 5 [2,-1,3,4] => 0 [2,-1,3,-4] => 3 [2,-1,-3,4] => 2 [2,-1,-3,-4] => 5 [-2,1,3,4] => 1 [-2,1,3,-4] => 4 [-2,1,-3,4] => 3 [-2,1,-3,-4] => 6 [-2,-1,3,4] => 1 [-2,-1,3,-4] => 4 [-2,-1,-3,4] => 3 [-2,-1,-3,-4] => 6 [2,1,4,3] => 0 [2,1,4,-3] => 2 [2,1,-4,3] => 3 [2,1,-4,-3] => 5 [2,-1,4,3] => 0 [2,-1,4,-3] => 2 [2,-1,-4,3] => 3 [2,-1,-4,-3] => 5 [-2,1,4,3] => 1 [-2,1,4,-3] => 3 [-2,1,-4,3] => 4 [-2,1,-4,-3] => 6 [-2,-1,4,3] => 1 [-2,-1,4,-3] => 3 [-2,-1,-4,3] => 4 [-2,-1,-4,-3] => 6 [2,3,1,4] => 0 [2,3,1,-4] => 3 [2,3,-1,4] => 0 [2,3,-1,-4] => 3 [2,-3,1,4] => 2 [2,-3,1,-4] => 5 [2,-3,-1,4] => 2 [2,-3,-1,-4] => 5 [-2,3,1,4] => 1 [-2,3,1,-4] => 4 [-2,3,-1,4] => 1 [-2,3,-1,-4] => 4 [-2,-3,1,4] => 3 [-2,-3,1,-4] => 6 [-2,-3,-1,4] => 3 [-2,-3,-1,-4] => 6 [2,3,4,1] => 0 [2,3,4,-1] => 0 [2,3,-4,1] => 3 [2,3,-4,-1] => 3 [2,-3,4,1] => 2 [2,-3,4,-1] => 2 [2,-3,-4,1] => 5 [2,-3,-4,-1] => 5 [-2,3,4,1] => 1 [-2,3,4,-1] => 1 [-2,3,-4,1] => 4 [-2,3,-4,-1] => 4 [-2,-3,4,1] => 3 [-2,-3,4,-1] => 3 [-2,-3,-4,1] => 6 [-2,-3,-4,-1] => 6 [2,4,1,3] => 0 [2,4,1,-3] => 2 [2,4,-1,3] => 0 [2,4,-1,-3] => 2 [2,-4,1,3] => 3 [2,-4,1,-3] => 5 [2,-4,-1,3] => 3 [2,-4,-1,-3] => 5 [-2,4,1,3] => 1 [-2,4,1,-3] => 3 [-2,4,-1,3] => 1 [-2,4,-1,-3] => 3 [-2,-4,1,3] => 4 [-2,-4,1,-3] => 6 [-2,-4,-1,3] => 4 [-2,-4,-1,-3] => 6 [2,4,3,1] => 0 [2,4,3,-1] => 0 [2,4,-3,1] => 2 [2,4,-3,-1] => 2 [2,-4,3,1] => 3 [2,-4,3,-1] => 3 [2,-4,-3,1] => 5 [2,-4,-3,-1] => 5 [-2,4,3,1] => 1 [-2,4,3,-1] => 1 [-2,4,-3,1] => 3 [-2,4,-3,-1] => 3 [-2,-4,3,1] => 4 [-2,-4,3,-1] => 4 [-2,-4,-3,1] => 6 [-2,-4,-3,-1] => 6 [3,1,2,4] => 0 [3,1,2,-4] => 3 [3,1,-2,4] => 1 [3,1,-2,-4] => 4 [3,-1,2,4] => 0 [3,-1,2,-4] => 3 [3,-1,-2,4] => 1 [3,-1,-2,-4] => 4 [-3,1,2,4] => 2 [-3,1,2,-4] => 5 [-3,1,-2,4] => 3 [-3,1,-2,-4] => 6 [-3,-1,2,4] => 2 [-3,-1,2,-4] => 5 [-3,-1,-2,4] => 3 [-3,-1,-2,-4] => 6 [3,1,4,2] => 0 [3,1,4,-2] => 1 [3,1,-4,2] => 3 [3,1,-4,-2] => 4 [3,-1,4,2] => 0 [3,-1,4,-2] => 1 [3,-1,-4,2] => 3 [3,-1,-4,-2] => 4 [-3,1,4,2] => 2 [-3,1,4,-2] => 3 [-3,1,-4,2] => 5 [-3,1,-4,-2] => 6 [-3,-1,4,2] => 2 [-3,-1,4,-2] => 3 [-3,-1,-4,2] => 5 [-3,-1,-4,-2] => 6 [3,2,1,4] => 0 [3,2,1,-4] => 3 [3,2,-1,4] => 0 [3,2,-1,-4] => 3 [3,-2,1,4] => 1 [3,-2,1,-4] => 4 [3,-2,-1,4] => 1 [3,-2,-1,-4] => 4 [-3,2,1,4] => 2 [-3,2,1,-4] => 5 [-3,2,-1,4] => 2 [-3,2,-1,-4] => 5 [-3,-2,1,4] => 3 [-3,-2,1,-4] => 6 [-3,-2,-1,4] => 3 [-3,-2,-1,-4] => 6 [3,2,4,1] => 0 [3,2,4,-1] => 0 [3,2,-4,1] => 3 [3,2,-4,-1] => 3 [3,-2,4,1] => 1 [3,-2,4,-1] => 1 [3,-2,-4,1] => 4 [3,-2,-4,-1] => 4 [-3,2,4,1] => 2 [-3,2,4,-1] => 2 [-3,2,-4,1] => 5 [-3,2,-4,-1] => 5 [-3,-2,4,1] => 3 [-3,-2,4,-1] => 3 [-3,-2,-4,1] => 6 [-3,-2,-4,-1] => 6 [3,4,1,2] => 0 [3,4,1,-2] => 1 [3,4,-1,2] => 0 [3,4,-1,-2] => 1 [3,-4,1,2] => 3 [3,-4,1,-2] => 4 [3,-4,-1,2] => 3 [3,-4,-1,-2] => 4 [-3,4,1,2] => 2 [-3,4,1,-2] => 3 [-3,4,-1,2] => 2 [-3,4,-1,-2] => 3 [-3,-4,1,2] => 5 [-3,-4,1,-2] => 6 [-3,-4,-1,2] => 5 [-3,-4,-1,-2] => 6 [3,4,2,1] => 0 [3,4,2,-1] => 0 [3,4,-2,1] => 1 [3,4,-2,-1] => 1 [3,-4,2,1] => 3 [3,-4,2,-1] => 3 [3,-4,-2,1] => 4 [3,-4,-2,-1] => 4 [-3,4,2,1] => 2 [-3,4,2,-1] => 2 [-3,4,-2,1] => 3 [-3,4,-2,-1] => 3 [-3,-4,2,1] => 5 [-3,-4,2,-1] => 5 [-3,-4,-2,1] => 6 [-3,-4,-2,-1] => 6 [4,1,2,3] => 0 [4,1,2,-3] => 2 [4,1,-2,3] => 1 [4,1,-2,-3] => 3 [4,-1,2,3] => 0 [4,-1,2,-3] => 2 [4,-1,-2,3] => 1 [4,-1,-2,-3] => 3 [-4,1,2,3] => 3 [-4,1,2,-3] => 5 [-4,1,-2,3] => 4 [-4,1,-2,-3] => 6 [-4,-1,2,3] => 3 [-4,-1,2,-3] => 5 [-4,-1,-2,3] => 4 [-4,-1,-2,-3] => 6 [4,1,3,2] => 0 [4,1,3,-2] => 1 [4,1,-3,2] => 2 [4,1,-3,-2] => 3 [4,-1,3,2] => 0 [4,-1,3,-2] => 1 [4,-1,-3,2] => 2 [4,-1,-3,-2] => 3 [-4,1,3,2] => 3 [-4,1,3,-2] => 4 [-4,1,-3,2] => 5 [-4,1,-3,-2] => 6 [-4,-1,3,2] => 3 [-4,-1,3,-2] => 4 [-4,-1,-3,2] => 5 [-4,-1,-3,-2] => 6 [4,2,1,3] => 0 [4,2,1,-3] => 2 [4,2,-1,3] => 0 [4,2,-1,-3] => 2 [4,-2,1,3] => 1 [4,-2,1,-3] => 3 [4,-2,-1,3] => 1 [4,-2,-1,-3] => 3 [-4,2,1,3] => 3 [-4,2,1,-3] => 5 [-4,2,-1,3] => 3 [-4,2,-1,-3] => 5 [-4,-2,1,3] => 4 [-4,-2,1,-3] => 6 [-4,-2,-1,3] => 4 [-4,-2,-1,-3] => 6 [4,2,3,1] => 0 [4,2,3,-1] => 0 [4,2,-3,1] => 2 [4,2,-3,-1] => 2 [4,-2,3,1] => 1 [4,-2,3,-1] => 1 [4,-2,-3,1] => 3 [4,-2,-3,-1] => 3 [-4,2,3,1] => 3 [-4,2,3,-1] => 3 [-4,2,-3,1] => 5 [-4,2,-3,-1] => 5 [-4,-2,3,1] => 4 [-4,-2,3,-1] => 4 [-4,-2,-3,1] => 6 [-4,-2,-3,-1] => 6 [4,3,1,2] => 0 [4,3,1,-2] => 1 [4,3,-1,2] => 0 [4,3,-1,-2] => 1 [4,-3,1,2] => 2 [4,-3,1,-2] => 3 [4,-3,-1,2] => 2 [4,-3,-1,-2] => 3 [-4,3,1,2] => 3 [-4,3,1,-2] => 4 [-4,3,-1,2] => 3 [-4,3,-1,-2] => 4 [-4,-3,1,2] => 5 [-4,-3,1,-2] => 6 [-4,-3,-1,2] => 5 [-4,-3,-1,-2] => 6 [4,3,2,1] => 0 [4,3,2,-1] => 0 [4,3,-2,1] => 1 [4,3,-2,-1] => 1 [4,-3,2,1] => 2 [4,-3,2,-1] => 2 [4,-3,-2,1] => 3 [4,-3,-2,-1] => 3 [-4,3,2,1] => 3 [-4,3,2,-1] => 3 [-4,3,-2,1] => 4 [-4,3,-2,-1] => 4 [-4,-3,2,1] => 5 [-4,-3,2,-1] => 5 [-4,-3,-2,1] => 6 [-4,-3,-2,-1] => 6 [1,2,3,4,5] => 0 [1,2,3,4,-5] => 4 [-1,2,3,4,5] => 0 [1,2,3,5,4] => 0 [1,2,3,5,-4] => 3 [-1,2,3,5,4] => 0 [1,2,4,3,5] => 0 [1,2,4,3,-5] => 4 [-1,2,4,3,5] => 0 [1,2,4,5,3] => 0 [1,2,4,5,-3] => 2 [-1,2,4,5,3] => 0 [1,2,5,3,4] => 0 [1,2,5,3,-4] => 3 [-1,2,5,3,4] => 0 [1,2,5,4,3] => 0 [1,2,5,4,-3] => 2 [-1,2,5,4,3] => 0 [1,3,2,4,5] => 0 [1,3,2,4,-5] => 4 [-1,3,2,4,5] => 0 [1,3,2,5,4] => 0 [1,3,2,5,-4] => 3 [-1,3,2,5,4] => 0 [1,3,4,2,5] => 0 [1,3,4,2,-5] => 4 [-1,3,4,2,5] => 0 [1,3,4,5,2] => 0 [1,3,4,5,-2] => 1 [-1,3,4,5,2] => 0 [1,3,5,2,4] => 0 [1,3,5,2,-4] => 3 [-1,3,5,2,4] => 0 [1,3,5,4,2] => 0 [1,3,5,4,-2] => 1 [-1,3,5,4,2] => 0 [1,4,2,3,5] => 0 [1,4,2,3,-5] => 4 [-1,4,2,3,5] => 0 [1,4,2,5,3] => 0 [1,4,2,5,-3] => 2 [-1,4,2,5,3] => 0 [1,4,3,2,5] => 0 [1,4,3,2,-5] => 4 [-1,4,3,2,5] => 0 [1,4,3,5,2] => 0 [1,4,3,5,-2] => 1 [-1,4,3,5,2] => 0 [1,4,5,2,3] => 0 [1,4,5,2,-3] => 2 [-1,4,5,2,3] => 0 [1,4,5,3,2] => 0 [1,4,5,3,-2] => 1 [-1,4,5,3,2] => 0 [1,5,2,3,4] => 0 [1,5,2,3,-4] => 3 [-1,5,2,3,4] => 0 [1,5,2,4,3] => 0 [1,5,2,4,-3] => 2 [-1,5,2,4,3] => 0 [1,5,3,2,4] => 0 [1,5,3,2,-4] => 3 [-1,5,3,2,4] => 0 [1,5,3,4,2] => 0 [1,5,3,4,-2] => 1 [-1,5,3,4,2] => 0 [1,5,4,2,3] => 0 [1,5,4,2,-3] => 2 [-1,5,4,2,3] => 0 [1,5,4,3,2] => 0 [1,5,4,3,-2] => 1 [-1,5,4,3,2] => 0 [2,1,3,4,5] => 0 [2,1,3,4,-5] => 4 [2,-1,3,4,5] => 0 [2,1,3,5,4] => 0 [2,1,3,5,-4] => 3 [2,-1,3,5,4] => 0 [2,1,4,3,5] => 0 [2,1,4,3,-5] => 4 [2,-1,4,3,5] => 0 [2,1,4,5,3] => 0 [2,1,4,5,-3] => 2 [2,-1,4,5,3] => 0 [2,1,5,3,4] => 0 [2,1,5,3,-4] => 3 [2,-1,5,3,4] => 0 [2,1,5,4,3] => 0 [2,1,5,4,-3] => 2 [2,-1,5,4,3] => 0 [2,3,1,4,5] => 0 [2,3,1,4,-5] => 4 [2,3,-1,4,5] => 0 [2,3,1,5,4] => 0 [2,3,1,5,-4] => 3 [2,3,-1,5,4] => 0 [2,3,4,1,5] => 0 [2,3,4,1,-5] => 4 [2,3,4,-1,5] => 0 [2,3,4,5,1] => 0 [2,3,4,5,-1] => 0 [2,3,5,1,4] => 0 [2,3,5,1,-4] => 3 [2,3,5,-1,4] => 0 [2,3,5,4,1] => 0 [2,3,5,4,-1] => 0 [2,4,1,3,5] => 0 [2,4,1,3,-5] => 4 [2,4,-1,3,5] => 0 [2,4,1,5,3] => 0 [2,4,1,5,-3] => 2 [2,4,-1,5,3] => 0 [2,4,3,1,5] => 0 [2,4,3,1,-5] => 4 [2,4,3,-1,5] => 0 [2,4,3,5,1] => 0 [2,4,3,5,-1] => 0 [2,4,5,1,3] => 0 [2,4,5,1,-3] => 2 [2,4,5,-1,3] => 0 [2,4,5,3,1] => 0 [2,4,5,3,-1] => 0 [2,5,1,3,4] => 0 [2,5,1,3,-4] => 3 [2,5,-1,3,4] => 0 [2,5,1,4,3] => 0 [2,5,1,4,-3] => 2 [2,5,-1,4,3] => 0 [2,5,3,1,4] => 0 [2,5,3,1,-4] => 3 [2,5,3,-1,4] => 0 [2,5,3,4,1] => 0 [2,5,3,4,-1] => 0 [2,5,4,1,3] => 0 [2,5,4,1,-3] => 2 [2,5,4,-1,3] => 0 [2,5,4,3,1] => 0 [2,5,4,3,-1] => 0 [3,1,2,4,5] => 0 [3,1,2,4,-5] => 4 [3,-1,2,4,5] => 0 [3,1,2,5,4] => 0 [3,1,2,5,-4] => 3 [3,-1,2,5,4] => 0 [3,1,4,2,5] => 0 [3,1,4,2,-5] => 4 [3,-1,4,2,5] => 0 [3,1,4,5,2] => 0 [3,1,4,5,-2] => 1 [3,-1,4,5,2] => 0 [3,1,5,2,4] => 0 [3,1,5,2,-4] => 3 [3,-1,5,2,4] => 0 [3,1,5,4,2] => 0 [3,1,5,4,-2] => 1 [3,-1,5,4,2] => 0 [3,2,1,4,5] => 0 [3,2,1,4,-5] => 4 [3,2,-1,4,5] => 0 [3,2,1,5,4] => 0 [3,2,1,5,-4] => 3 [3,2,-1,5,4] => 0 [3,2,4,1,5] => 0 [3,2,4,1,-5] => 4 [3,2,4,-1,5] => 0 [3,2,4,5,1] => 0 [3,2,4,5,-1] => 0 [3,2,5,1,4] => 0 [3,2,5,1,-4] => 3 [3,2,5,-1,4] => 0 [3,2,5,4,1] => 0 [3,2,5,4,-1] => 0 [3,4,1,2,5] => 0 [3,4,1,2,-5] => 4 [3,4,-1,2,5] => 0 [3,4,1,5,2] => 0 [3,4,1,5,-2] => 1 [3,4,-1,5,2] => 0 [3,4,2,1,5] => 0 [3,4,2,1,-5] => 4 [3,4,2,-1,5] => 0 [3,4,2,5,1] => 0 [3,4,2,5,-1] => 0 [3,4,5,1,2] => 0 [3,4,5,1,-2] => 1 [3,4,5,-1,2] => 0 [3,4,5,2,1] => 0 [3,4,5,2,-1] => 0 [3,5,1,2,4] => 0 [3,5,1,2,-4] => 3 [3,5,-1,2,4] => 0 [3,5,1,4,2] => 0 [3,5,1,4,-2] => 1 [3,5,-1,4,2] => 0 [3,5,2,1,4] => 0 [3,5,2,1,-4] => 3 [3,5,2,-1,4] => 0 [3,5,2,4,1] => 0 [3,5,2,4,-1] => 0 [3,5,4,1,2] => 0 [3,5,4,1,-2] => 1 [3,5,4,-1,2] => 0 [3,5,4,2,1] => 0 [3,5,4,2,-1] => 0 [4,1,2,3,5] => 0 [4,1,2,3,-5] => 4 [4,-1,2,3,5] => 0 [4,1,2,5,3] => 0 [4,1,2,5,-3] => 2 [4,-1,2,5,3] => 0 [4,1,3,2,5] => 0 [4,1,3,2,-5] => 4 [4,-1,3,2,5] => 0 [4,1,3,5,2] => 0 [4,1,3,5,-2] => 1 [4,-1,3,5,2] => 0 [4,1,5,2,3] => 0 [4,1,5,2,-3] => 2 [4,-1,5,2,3] => 0 [4,1,5,3,2] => 0 [4,1,5,3,-2] => 1 [4,-1,5,3,2] => 0 [4,2,1,3,5] => 0 [4,2,1,3,-5] => 4 [4,2,-1,3,5] => 0 [4,2,1,5,3] => 0 [4,2,1,5,-3] => 2 [4,2,-1,5,3] => 0 [4,2,3,1,5] => 0 [4,2,3,1,-5] => 4 [4,2,3,-1,5] => 0 [4,2,3,5,1] => 0 [4,2,3,5,-1] => 0 [4,2,5,1,3] => 0 [4,2,5,1,-3] => 2 [4,2,5,-1,3] => 0 [4,2,5,3,1] => 0 [4,2,5,3,-1] => 0 [4,3,1,2,5] => 0 [4,3,1,2,-5] => 4 [4,3,-1,2,5] => 0 [4,3,1,5,2] => 0 [4,3,1,5,-2] => 1 [4,3,-1,5,2] => 0 [4,3,2,1,5] => 0 [4,3,2,1,-5] => 4 [4,3,2,-1,5] => 0 [4,3,2,5,1] => 0 [4,3,2,5,-1] => 0 [4,3,5,1,2] => 0 [4,3,5,1,-2] => 1 [4,3,5,-1,2] => 0 [4,3,5,2,1] => 0 [4,3,5,2,-1] => 0 [4,5,1,2,3] => 0 [4,5,1,2,-3] => 2 [4,5,-1,2,3] => 0 [4,5,1,3,2] => 0 [4,5,1,3,-2] => 1 [4,5,-1,3,2] => 0 [4,5,2,1,3] => 0 [4,5,2,1,-3] => 2 [4,5,2,-1,3] => 0 [4,5,2,3,1] => 0 [4,5,2,3,-1] => 0 [4,5,3,1,2] => 0 [4,5,3,1,-2] => 1 [4,5,3,-1,2] => 0 [4,5,3,2,1] => 0 [4,5,3,2,-1] => 0 [5,1,2,3,4] => 0 [5,1,2,3,-4] => 3 [5,-1,2,3,4] => 0 [5,1,2,4,3] => 0 [5,1,2,4,-3] => 2 [5,-1,2,4,3] => 0 [5,1,3,2,4] => 0 [5,1,3,2,-4] => 3 [5,-1,3,2,4] => 0 [5,1,3,4,2] => 0 [5,1,3,4,-2] => 1 [5,-1,3,4,2] => 0 [5,1,4,2,3] => 0 [5,1,4,2,-3] => 2 [5,-1,4,2,3] => 0 [5,1,4,3,2] => 0 [5,1,4,3,-2] => 1 [5,-1,4,3,2] => 0 [5,2,1,3,4] => 0 [5,2,1,3,-4] => 3 [5,2,-1,3,4] => 0 [5,2,1,4,3] => 0 [5,2,1,4,-3] => 2 [5,2,-1,4,3] => 0 [5,2,3,1,4] => 0 [5,2,3,1,-4] => 3 [5,2,3,-1,4] => 0 [5,2,3,4,1] => 0 [5,2,3,4,-1] => 0 [5,2,4,1,3] => 0 [5,2,4,1,-3] => 2 [5,2,4,-1,3] => 0 [5,2,4,3,1] => 0 [5,2,4,3,-1] => 0 [5,3,1,2,4] => 0 [5,3,1,2,-4] => 3 [5,3,-1,2,4] => 0 [5,3,1,4,2] => 0 [5,3,1,4,-2] => 1 [5,3,-1,4,2] => 0 [5,3,2,1,4] => 0 [5,3,2,1,-4] => 3 [5,3,2,-1,4] => 0 [5,3,2,4,1] => 0 [5,3,2,4,-1] => 0 [5,3,4,1,2] => 0 [5,3,4,1,-2] => 1 [5,3,4,-1,2] => 0 [5,3,4,2,1] => 0 [5,3,4,2,-1] => 0 [5,4,1,2,3] => 0 [5,4,1,2,-3] => 2 [5,4,-1,2,3] => 0 [5,4,1,3,2] => 0 [5,4,1,3,-2] => 1 [5,4,-1,3,2] => 0 [5,4,2,1,3] => 0 [5,4,2,1,-3] => 2 [5,4,2,-1,3] => 0 [5,4,2,3,1] => 0 [5,4,2,3,-1] => 0 [5,4,3,1,2] => 0 [5,4,3,1,-2] => 1 [5,4,3,-1,2] => 0 [5,4,3,2,1] => 0 [5,4,3,2,-1] => 0 [1,2,3,4,5,6] => 0 [1,2,3,4,6,5] => 0 [1,2,3,5,4,6] => 0 [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] => 0 [1,2,4,3,6,5] => 0 [1,2,4,5,3,6] => 0 [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] => 0 [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 [1,2,6,4,5,3] => 0 [1,2,6,5,4,3] => 0 [1,3,2,4,5,6] => 0 [1,3,2,4,6,5] => 0 [1,3,2,5,4,6] => 0 [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] => 0 [1,3,4,2,6,5] => 0 [1,3,4,5,2,6] => 0 [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] => 0 [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 [1,3,6,4,5,2] => 0 [1,3,6,5,4,2] => 0 [1,4,2,3,5,6] => 0 [1,4,2,3,6,5] => 0 [1,4,2,5,3,6] => 0 [1,4,2,5,6,3] => 0 [1,4,2,6,3,5] => 0 [1,4,3,2,5,6] => 0 [1,4,3,2,6,5] => 0 [1,4,3,5,2,6] => 0 [1,4,3,5,6,2] => 0 [1,4,3,6,5,2] => 0 [1,4,5,2,3,6] => 0 [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 [1,4,6,5,3,2] => 0 [1,5,2,3,4,6] => 0 [1,5,2,3,6,4] => 0 [1,5,2,6,3,4] => 0 [1,5,3,4,2,6] => 0 [1,5,3,4,6,2] => 0 [1,5,4,3,2,6] => 0 [1,5,4,3,6,2] => 0 [1,5,4,6,3,2] => 0 [1,5,6,2,3,4] => 0 [1,5,6,4,3,2] => 0 [1,6,2,3,4,5] => 0 [1,6,3,4,5,2] => 0 [1,6,3,5,4,2] => 0 [1,6,4,3,5,2] => 0 [1,6,4,5,3,2] => 0 [1,6,5,4,3,2] => 0 [2,1,3,4,5,6] => 0 [2,1,3,4,6,5] => 0 [2,1,3,5,4,6] => 0 [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] => 0 [2,1,4,3,6,5] => 0 [2,1,4,5,3,6] => 0 [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] => 0 [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 [2,1,6,4,5,3] => 0 [2,1,6,5,4,3] => 0 [2,3,1,4,5,6] => 0 [2,3,1,4,6,5] => 0 [2,3,1,5,4,6] => 0 [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] => 0 [2,3,4,1,6,5] => 0 [2,3,4,5,1,6] => 0 [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] => 0 [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 [2,3,6,4,5,1] => 0 [2,3,6,5,4,1] => 0 [2,4,1,3,5,6] => 0 [2,4,1,3,6,5] => 0 [2,4,1,5,3,6] => 0 [2,4,1,5,6,3] => 0 [2,4,1,6,3,5] => 0 [2,4,3,1,5,6] => 0 [2,4,3,1,6,5] => 0 [2,4,3,5,1,6] => 0 [2,4,3,5,6,1] => 0 [2,4,3,6,5,1] => 0 [2,4,5,1,3,6] => 0 [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 [2,4,6,5,3,1] => 0 [2,5,1,3,4,6] => 0 [2,5,1,3,6,4] => 0 [2,5,1,6,3,4] => 0 [2,5,3,4,1,6] => 0 [2,5,3,4,6,1] => 0 [2,5,4,3,1,6] => 0 [2,5,4,3,6,1] => 0 [2,5,4,6,3,1] => 0 [2,5,6,1,3,4] => 0 [2,5,6,4,3,1] => 0 [2,6,1,3,4,5] => 0 [2,6,3,4,5,1] => 0 [2,6,3,5,4,1] => 0 [2,6,4,3,5,1] => 0 [2,6,4,5,3,1] => 0 [2,6,5,4,3,1] => 0 [3,1,2,4,5,6] => 0 [3,1,2,4,6,5] => 0 [3,1,2,5,4,6] => 0 [3,1,2,5,6,4] => 0 [3,1,2,6,4,5] => 0 [3,1,4,2,5,6] => 0 [3,1,4,2,6,5] => 0 [3,1,4,5,2,6] => 0 [3,1,4,5,6,2] => 0 [3,1,4,6,2,5] => 0 [3,1,5,2,4,6] => 0 [3,1,5,2,6,4] => 0 [3,1,5,6,2,4] => 0 [3,1,6,2,4,5] => 0 [3,2,1,4,5,6] => 0 [3,2,1,4,6,5] => 0 [3,2,1,5,4,6] => 0 [3,2,1,5,6,4] => 0 [3,2,1,6,5,4] => 0 [3,2,4,1,5,6] => 0 [3,2,4,1,6,5] => 0 [3,2,4,5,1,6] => 0 [3,2,4,5,6,1] => 0 [3,2,4,6,5,1] => 0 [3,2,5,1,4,6] => 0 [3,2,5,4,1,6] => 0 [3,2,5,4,6,1] => 0 [3,2,5,6,4,1] => 0 [3,2,6,1,4,5] => 0 [3,2,6,4,5,1] => 0 [3,2,6,5,4,1] => 0 [3,4,1,2,5,6] => 0 [3,4,1,2,6,5] => 0 [3,4,1,5,2,6] => 0 [3,4,1,5,6,2] => 0 [3,4,1,6,2,5] => 0 [3,4,2,1,5,6] => 0 [3,4,2,1,6,5] => 0 [3,4,2,5,1,6] => 0 [3,4,2,5,6,1] => 0 [3,4,2,6,5,1] => 0 [3,4,5,1,2,6] => 0 [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 [3,4,6,5,2,1] => 0 [3,5,1,2,4,6] => 0 [3,5,1,2,6,4] => 0 [3,5,1,6,2,4] => 0 [3,5,4,2,1,6] => 0 [3,5,4,2,6,1] => 0 [3,5,4,6,2,1] => 0 [3,5,6,1,2,4] => 0 [3,5,6,4,2,1] => 0 [3,6,1,2,4,5] => 0 [3,6,1,5,4,2] => 0 [3,6,2,5,1,4] => 0 [3,6,5,4,2,1] => 0 [4,1,2,3,5,6] => 0 [4,1,2,3,6,5] => 0 [4,1,2,5,3,6] => 0 [4,1,2,5,6,3] => 0 [4,1,2,6,3,5] => 0 [4,1,5,2,3,6] => 0 [4,1,5,2,6,3] => 0 [4,1,5,6,2,3] => 0 [4,1,6,2,3,5] => 0 [4,2,1,3,5,6] => 0 [4,2,3,1,5,6] => 0 [4,2,3,1,6,5] => 0 [4,2,3,5,1,6] => 0 [4,2,3,5,6,1] => 0 [4,2,3,6,5,1] => 0 [4,2,5,1,3,6] => 0 [4,2,6,1,3,5] => 0 [4,3,1,2,5,6] => 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] => 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 [4,3,6,5,2,1] => 0 [4,5,1,2,3,6] => 0 [4,5,1,2,6,3] => 0 [4,5,1,6,2,3] => 0 [4,5,2,1,3,6] => 0 [4,5,2,3,1,6] => 0 [4,5,2,3,6,1] => 0 [4,5,3,1,2,6] => 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 [4,5,6,2,1,3] => 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 [4,6,2,5,1,3] => 0 [4,6,3,5,1,2] => 0 [4,6,5,1,3,2] => 0 [4,6,5,3,2,1] => 0 [5,1,2,3,4,6] => 0 [5,1,2,3,6,4] => 0 [5,1,2,6,3,4] => 0 [5,1,6,2,3,4] => 0 [5,2,1,3,4,6] => 0 [5,2,3,1,4,6] => 0 [5,2,3,4,1,6] => 0 [5,2,3,4,6,1] => 0 [5,2,4,1,3,6] => 0 [5,2,4,3,1,6] => 0 [5,2,4,3,6,1] => 0 [5,2,6,1,3,4] => 0 [5,3,1,2,4,6] => 0 [5,3,2,1,4,6] => 0 [5,3,2,4,1,6] => 0 [5,3,2,4,6,1] => 0 [5,3,2,6,1,4] => 0 [5,3,4,1,2,6] => 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 [5,4,1,2,3,6] => 0 [5,4,2,1,3,6] => 0 [5,4,2,3,1,6] => 0 [5,4,2,3,6,1] => 0 [5,4,2,6,1,3] => 0 [5,4,3,1,2,6] => 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 [5,4,6,2,1,3] => 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 [5,6,2,1,3,4] => 0 [5,6,2,3,1,4] => 0 [5,6,2,3,4,1] => 0 [5,6,2,4,1,3] => 0 [5,6,3,1,2,4] => 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 [5,6,4,2,1,3] => 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 [6,2,1,3,4,5] => 0 [6,2,3,1,4,5] => 0 [6,2,3,4,1,5] => 0 [6,2,3,4,5,1] => 0 [6,2,3,5,4,1] => 0 [6,2,4,1,3,5] => 0 [6,2,4,3,5,1] => 0 [6,2,4,5,3,1] => 0 [6,2,5,1,3,4] => 0 [6,2,5,4,3,1] => 0 [6,3,1,2,4,5] => 0 [6,3,2,1,4,5] => 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 [6,3,4,2,1,5] => 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 [6,3,5,4,2,1] => 0 [6,4,1,2,3,5] => 0 [6,4,2,1,3,5] => 0 [6,4,2,3,1,5] => 0 [6,4,2,3,5,1] => 0 [6,4,2,5,1,3] => 0 [6,4,3,1,2,5] => 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 [6,4,5,2,1,3] => 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 [6,5,2,1,3,4] => 0 [6,5,2,3,1,4] => 0 [6,5,2,3,4,1] => 0 [6,5,2,4,1,3] => 0 [6,5,3,1,2,4] => 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 [6,5,4,2,1,3] => 0 [6,5,4,2,3,1] => 0 [6,5,4,3,1,2] => 0 [6,5,4,3,2,1] => 0 [2,1,4,3,6,5,8,7] => 0 [3,4,1,2,6,5,8,7] => 0 [4,5,6,1,2,3,8,7] => 0 [3,5,1,6,2,4,8,7] => 0 [2,1,5,6,3,4,8,7] => 0 [5,6,7,8,1,2,3,4] => 0 [4,6,7,1,8,2,3,5] => 0 [3,6,1,7,8,2,4,5] => 0 [2,1,6,7,8,3,4,5] => 0 [2,1,5,7,3,8,4,6] => 0 [3,5,1,7,2,8,4,6] => 0 [4,5,7,1,2,8,3,6] => 0 [3,4,1,2,7,8,5,6] => 0 [2,1,4,3,7,8,5,6] => 0 [4,3,2,1,6,5,8,7] => 0 [5,3,2,6,1,4,8,7] => 0 [6,3,2,5,4,1,8,7] => 0 [7,3,2,5,4,8,1,6] => 0 [8,3,2,5,4,7,6,1] => 0 [8,4,5,2,3,7,6,1] => 0 [7,4,5,2,3,8,1,6] => 0 [6,4,5,2,3,1,8,7] => 0 [5,4,6,2,1,3,8,7] => 0 [2,1,6,5,4,3,8,7] => 0 [3,6,1,5,4,2,8,7] => 0 [4,6,5,1,3,2,8,7] => 0 [5,6,4,3,1,2,8,7] => 0 [6,5,4,3,2,1,8,7] => 0 [7,5,4,3,2,8,1,6] => 0 [8,5,4,3,2,7,6,1] => 0 [8,6,4,3,7,2,5,1] => 0 [7,6,4,3,8,2,1,5] => 0 [6,7,4,3,8,1,2,5] => 0 [5,7,4,3,1,8,2,6] => 0 [4,7,5,1,3,8,2,6] => 0 [3,7,1,5,4,8,2,6] => 0 [2,1,7,5,4,8,3,6] => 0 [2,1,8,5,4,7,6,3] => 0 [3,8,1,5,4,7,6,2] => 0 [4,8,5,1,3,7,6,2] => 0 [5,8,4,3,1,7,6,2] => 0 [6,8,4,3,7,1,5,2] => 0 [7,8,4,3,6,5,1,2] => 0 [8,7,4,3,6,5,2,1] => 0 [8,7,5,6,3,4,2,1] => 0 [7,8,5,6,3,4,1,2] => 0 [6,8,5,7,3,1,4,2] => 0 [5,8,6,7,1,3,4,2] => 0 [4,8,6,1,7,3,5,2] => 0 [3,8,1,6,7,4,5,2] => 0 [2,1,8,6,7,4,5,3] => 0 [2,1,7,6,8,4,3,5] => 0 [3,7,1,6,8,4,2,5] => 0 [4,7,6,1,8,3,2,5] => 0 [5,7,6,8,1,3,2,4] => 0 [6,7,5,8,3,1,2,4] => 0 [7,6,5,8,3,2,1,4] => 0 [8,6,5,7,3,2,4,1] => 0 [8,5,6,7,2,3,4,1] => 0 [7,5,6,8,2,3,1,4] => 0 [6,5,7,8,2,1,3,4] => 0 [5,4,7,2,1,8,3,6] => 0 [6,4,7,2,8,1,3,5] => 0 [7,4,6,2,8,3,1,5] => 0 [8,4,6,2,7,3,5,1] => 0 [8,3,2,6,7,4,5,1] => 0 [7,3,2,6,8,4,1,5] => 0 [6,3,2,7,8,1,4,5] => 0 [5,3,2,7,1,8,4,6] => 0 [4,3,2,1,7,8,5,6] => 0 [2,1,4,3,8,7,6,5] => 0 [3,4,1,2,8,7,6,5] => 0 [4,3,2,1,8,7,6,5] => 0 [5,3,2,8,1,7,6,4] => 0 [6,3,2,8,7,1,5,4] => 0 [7,3,2,8,6,5,1,4] => 0 [8,3,2,7,6,5,4,1] => 0 [8,4,7,2,6,5,3,1] => 0 [7,4,8,2,6,5,1,3] => 0 [6,4,8,2,7,1,5,3] => 0 [5,4,8,2,1,7,6,3] => 0 [4,5,8,1,2,7,6,3] => 0 [3,5,1,8,2,7,6,4] => 0 [2,1,5,8,3,7,6,4] => 0 [2,1,6,8,7,3,5,4] => 0 [3,6,1,8,7,2,5,4] => 0 [4,6,8,1,7,2,5,3] => 0 [5,6,8,7,1,2,4,3] => 0 [6,5,8,7,2,1,4,3] => 0 [7,5,8,6,2,4,1,3] => 0 [8,5,7,6,2,4,3,1] => 0 [8,6,7,5,4,2,3,1] => 0 [7,6,8,5,4,2,1,3] => 0 [6,7,8,5,4,1,2,3] => 0 [5,7,8,6,1,4,2,3] => 0 [4,7,8,1,6,5,2,3] => 0 [3,7,1,8,6,5,2,4] => 0 [2,1,7,8,6,5,3,4] => 0 [2,1,8,7,6,5,4,3] => 0 [3,8,1,7,6,5,4,2] => 0 [4,8,7,1,6,5,3,2] => 0 [5,8,7,6,1,4,3,2] => 0 [6,8,7,5,4,1,3,2] => 0 [7,8,6,5,4,3,1,2] => 0 [8,7,6,5,4,3,2,1] => 0 ----------------------------------------------------------------------------- Created: Jun 24, 2019 at 14:12 by Angela Carnevale ----------------------------------------------------------------------------- Last Updated: Sep 26, 2020 at 15:36 by Martin Rubey