***************************************************************************** * 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: St000401 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The size of the symmetry class of a permutation. The symmetry class of a permutation $\pi$ is the set of all permutations that can be obtained from $\pi$ by the three elementary operations '''inverse''' ([[Mp00066]]), '''reverse''' ([[Mp00064]]), and '''complement''' ([[Mp00069]]). Two elements in the same symmetry class are also in the same Wilf-equivalence class, see for example [2]. ----------------------------------------------------------------------------- References: [1] Callan, D., Mansour, T. Five subsets of permutations enumerated as weak sorting permutations [[arXiv:1602.05182]] [2] Stankova-Frenkel, Z., West, J. A New Class of Wilf-Equivalent Permutations [[arXiv:math/0103152]] ----------------------------------------------------------------------------- Code: def eq_class(pi): cl = [pi] test = [pi] while test: tau = test.pop() tau1 = tau.reverse() tau2 = tau.complement() tau3 = tau.inverse() if tau1 not in cl: cl.append(tau1) test.append(tau1) if tau2 not in cl: cl.append(tau2) test.append(tau2) if tau3 not in cl: cl.append(tau3) test.append(tau3) return cl def statistic(pi): return len(eq_class(pi)) ----------------------------------------------------------------------------- Statistic values: [1] => 1 [1,2] => 2 [2,1] => 2 [1,2,3] => 2 [1,3,2] => 4 [2,1,3] => 4 [2,3,1] => 4 [3,1,2] => 4 [3,2,1] => 2 [1,2,3,4] => 2 [1,2,4,3] => 4 [1,3,2,4] => 2 [1,3,4,2] => 8 [1,4,2,3] => 8 [1,4,3,2] => 4 [2,1,3,4] => 4 [2,1,4,3] => 2 [2,3,1,4] => 8 [2,3,4,1] => 4 [2,4,1,3] => 2 [2,4,3,1] => 8 [3,1,2,4] => 8 [3,1,4,2] => 2 [3,2,1,4] => 4 [3,2,4,1] => 8 [3,4,1,2] => 2 [3,4,2,1] => 4 [4,1,2,3] => 4 [4,1,3,2] => 8 [4,2,1,3] => 8 [4,2,3,1] => 2 [4,3,1,2] => 4 [4,3,2,1] => 2 [1,2,3,4,5] => 2 [1,2,3,5,4] => 4 [1,2,4,3,5] => 4 [1,2,4,5,3] => 8 [1,2,5,3,4] => 8 [1,2,5,4,3] => 4 [1,3,2,4,5] => 4 [1,3,2,5,4] => 4 [1,3,4,2,5] => 4 [1,3,4,5,2] => 8 [1,3,5,2,4] => 8 [1,3,5,4,2] => 8 [1,4,2,3,5] => 4 [1,4,2,5,3] => 8 [1,4,3,2,5] => 2 [1,4,3,5,2] => 8 [1,4,5,2,3] => 4 [1,4,5,3,2] => 8 [1,5,2,3,4] => 8 [1,5,2,4,3] => 8 [1,5,3,2,4] => 8 [1,5,3,4,2] => 4 [1,5,4,2,3] => 8 [1,5,4,3,2] => 4 [2,1,3,4,5] => 4 [2,1,3,5,4] => 2 [2,1,4,3,5] => 4 [2,1,4,5,3] => 8 [2,1,5,3,4] => 8 [2,1,5,4,3] => 4 [2,3,1,4,5] => 8 [2,3,1,5,4] => 8 [2,3,4,1,5] => 8 [2,3,4,5,1] => 4 [2,3,5,1,4] => 8 [2,3,5,4,1] => 8 [2,4,1,3,5] => 8 [2,4,1,5,3] => 4 [2,4,3,1,5] => 8 [2,4,3,5,1] => 4 [2,4,5,1,3] => 8 [2,4,5,3,1] => 8 [2,5,1,3,4] => 8 [2,5,1,4,3] => 8 [2,5,3,1,4] => 2 [2,5,3,4,1] => 8 [2,5,4,1,3] => 8 [2,5,4,3,1] => 8 [3,1,2,4,5] => 8 [3,1,2,5,4] => 8 [3,1,4,2,5] => 8 [3,1,4,5,2] => 8 [3,1,5,2,4] => 4 [3,1,5,4,2] => 8 [3,2,1,4,5] => 4 [3,2,1,5,4] => 4 [3,2,4,1,5] => 8 [3,2,4,5,1] => 8 [3,2,5,1,4] => 8 [3,2,5,4,1] => 4 [3,4,1,2,5] => 4 [3,4,1,5,2] => 8 [3,4,2,1,5] => 8 [3,4,2,5,1] => 8 [3,4,5,1,2] => 4 [3,4,5,2,1] => 4 [3,5,1,2,4] => 8 [3,5,1,4,2] => 4 [3,5,2,1,4] => 8 [3,5,2,4,1] => 8 [3,5,4,1,2] => 8 [3,5,4,2,1] => 8 [4,1,2,3,5] => 8 [4,1,2,5,3] => 8 [4,1,3,2,5] => 8 [4,1,3,5,2] => 2 [4,1,5,2,3] => 8 [4,1,5,3,2] => 8 [4,2,1,3,5] => 8 [4,2,1,5,3] => 8 [4,2,3,1,5] => 4 [4,2,3,5,1] => 8 [4,2,5,1,3] => 4 [4,2,5,3,1] => 8 [4,3,1,2,5] => 8 [4,3,1,5,2] => 8 [4,3,2,1,5] => 4 [4,3,2,5,1] => 8 [4,3,5,1,2] => 8 [4,3,5,2,1] => 8 [4,5,1,2,3] => 4 [4,5,1,3,2] => 8 [4,5,2,1,3] => 8 [4,5,2,3,1] => 4 [4,5,3,1,2] => 2 [4,5,3,2,1] => 4 [5,1,2,3,4] => 4 [5,1,2,4,3] => 8 [5,1,3,2,4] => 4 [5,1,3,4,2] => 8 [5,1,4,2,3] => 8 [5,1,4,3,2] => 8 [5,2,1,3,4] => 8 [5,2,1,4,3] => 4 [5,2,3,1,4] => 8 [5,2,3,4,1] => 2 [5,2,4,1,3] => 8 [5,2,4,3,1] => 4 [5,3,1,2,4] => 8 [5,3,1,4,2] => 8 [5,3,2,1,4] => 8 [5,3,2,4,1] => 4 [5,3,4,1,2] => 4 [5,3,4,2,1] => 4 [5,4,1,2,3] => 4 [5,4,1,3,2] => 8 [5,4,2,1,3] => 8 [5,4,2,3,1] => 4 [5,4,3,1,2] => 4 [5,4,3,2,1] => 2 [1,2,3,4,5,6] => 2 [1,2,3,4,6,5] => 4 [1,2,3,5,4,6] => 4 [1,2,3,5,6,4] => 8 [1,2,3,6,4,5] => 8 [1,2,3,6,5,4] => 4 [1,2,4,3,5,6] => 2 [1,2,4,3,6,5] => 4 [1,2,4,5,3,6] => 8 [1,2,4,5,6,3] => 8 [1,2,4,6,3,5] => 8 [1,2,4,6,5,3] => 8 [1,2,5,3,4,6] => 8 [1,2,5,3,6,4] => 8 [1,2,5,4,3,6] => 4 [1,2,5,4,6,3] => 8 [1,2,5,6,3,4] => 4 [1,2,5,6,4,3] => 8 [1,2,6,3,4,5] => 8 [1,2,6,3,5,4] => 8 [1,2,6,4,3,5] => 8 [1,2,6,4,5,3] => 4 [1,2,6,5,3,4] => 8 [1,2,6,5,4,3] => 4 [1,3,2,4,5,6] => 4 [1,3,2,4,6,5] => 4 [1,3,2,5,4,6] => 2 [1,3,2,5,6,4] => 8 [1,3,2,6,4,5] => 8 [1,3,2,6,5,4] => 4 [1,3,4,2,5,6] => 8 [1,3,4,2,6,5] => 8 [1,3,4,5,2,6] => 4 [1,3,4,5,6,2] => 8 [1,3,4,6,2,5] => 8 [1,3,4,6,5,2] => 8 [1,3,5,2,4,6] => 4 [1,3,5,2,6,4] => 8 [1,3,5,4,2,6] => 8 [1,3,5,4,6,2] => 8 [1,3,5,6,2,4] => 8 [1,3,5,6,4,2] => 8 [1,3,6,2,4,5] => 8 [1,3,6,2,5,4] => 8 [1,3,6,4,2,5] => 8 [1,3,6,4,5,2] => 8 [1,3,6,5,2,4] => 8 [1,3,6,5,4,2] => 8 [1,4,2,3,5,6] => 8 [1,4,2,3,6,5] => 8 [1,4,2,5,3,6] => 4 [1,4,2,5,6,3] => 8 [1,4,2,6,3,5] => 8 [1,4,2,6,5,3] => 8 [1,4,3,2,5,6] => 4 [1,4,3,2,6,5] => 4 [1,4,3,5,2,6] => 8 [1,4,3,5,6,2] => 8 [1,4,3,6,2,5] => 8 [1,4,3,6,5,2] => 8 [1,4,5,2,3,6] => 2 [1,4,5,2,6,3] => 8 [1,4,5,3,2,6] => 4 [1,4,5,3,6,2] => 8 [1,4,5,6,2,3] => 8 [1,4,5,6,3,2] => 8 [1,4,6,2,3,5] => 8 [1,4,6,2,5,3] => 4 [1,4,6,3,2,5] => 8 [1,4,6,3,5,2] => 8 [1,4,6,5,2,3] => 8 [1,4,6,5,3,2] => 8 [1,5,2,3,4,6] => 4 [1,5,2,3,6,4] => 8 [1,5,2,4,3,6] => 8 [1,5,2,4,6,3] => 8 [1,5,2,6,3,4] => 8 [1,5,2,6,4,3] => 8 [1,5,3,2,4,6] => 8 [1,5,3,2,6,4] => 8 [1,5,3,4,2,6] => 2 [1,5,3,4,6,2] => 8 [1,5,3,6,2,4] => 4 [1,5,3,6,4,2] => 8 [1,5,4,2,3,6] => 4 [1,5,4,2,6,3] => 8 [1,5,4,3,2,6] => 2 [1,5,4,3,6,2] => 8 [1,5,4,6,2,3] => 8 [1,5,4,6,3,2] => 8 [1,5,6,2,3,4] => 8 [1,5,6,2,4,3] => 8 [1,5,6,3,2,4] => 8 [1,5,6,3,4,2] => 8 [1,5,6,4,2,3] => 4 [1,5,6,4,3,2] => 8 [1,6,2,3,4,5] => 8 [1,6,2,3,5,4] => 8 [1,6,2,4,3,5] => 8 [1,6,2,4,5,3] => 8 [1,6,2,5,3,4] => 8 [1,6,2,5,4,3] => 8 [1,6,3,2,4,5] => 8 [1,6,3,2,5,4] => 8 [1,6,3,4,2,5] => 8 [1,6,3,4,5,2] => 4 [1,6,3,5,2,4] => 8 [1,6,3,5,4,2] => 4 [1,6,4,2,3,5] => 8 [1,6,4,2,5,3] => 8 [1,6,4,3,2,5] => 8 [1,6,4,3,5,2] => 4 [1,6,4,5,2,3] => 8 [1,6,4,5,3,2] => 8 [1,6,5,2,3,4] => 8 [1,6,5,2,4,3] => 8 [1,6,5,3,2,4] => 8 [1,6,5,3,4,2] => 8 [1,6,5,4,2,3] => 8 [1,6,5,4,3,2] => 4 [2,1,3,4,5,6] => 4 [2,1,3,4,6,5] => 2 [2,1,3,5,4,6] => 4 [2,1,3,5,6,4] => 8 [2,1,3,6,4,5] => 8 [2,1,3,6,5,4] => 4 [2,1,4,3,5,6] => 4 [2,1,4,3,6,5] => 2 [2,1,4,5,3,6] => 8 [2,1,4,5,6,3] => 8 [2,1,4,6,3,5] => 8 [2,1,4,6,5,3] => 8 [2,1,5,3,4,6] => 8 [2,1,5,3,6,4] => 8 [2,1,5,4,3,6] => 4 [2,1,5,4,6,3] => 8 [2,1,5,6,3,4] => 4 [2,1,5,6,4,3] => 8 [2,1,6,3,4,5] => 8 [2,1,6,3,5,4] => 8 [2,1,6,4,3,5] => 8 [2,1,6,4,5,3] => 4 [2,1,6,5,3,4] => 8 [2,1,6,5,4,3] => 4 [2,3,1,4,5,6] => 8 [2,3,1,4,6,5] => 8 [2,3,1,5,4,6] => 8 [2,3,1,5,6,4] => 4 [2,3,1,6,4,5] => 4 [2,3,1,6,5,4] => 8 [2,3,4,1,5,6] => 8 [2,3,4,1,6,5] => 8 [2,3,4,5,1,6] => 8 [2,3,4,5,6,1] => 4 [2,3,4,6,1,5] => 8 [2,3,4,6,5,1] => 8 [2,3,5,1,4,6] => 8 [2,3,5,1,6,4] => 8 [2,3,5,4,1,6] => 8 [2,3,5,4,6,1] => 8 [2,3,5,6,1,4] => 8 [2,3,5,6,4,1] => 8 [2,3,6,1,4,5] => 4 [2,3,6,1,5,4] => 8 [2,3,6,4,1,5] => 8 [2,3,6,4,5,1] => 8 [2,3,6,5,1,4] => 8 [2,3,6,5,4,1] => 8 [2,4,1,3,5,6] => 8 [2,4,1,3,6,5] => 8 [2,4,1,5,3,6] => 8 [2,4,1,5,6,3] => 8 [2,4,1,6,3,5] => 4 [2,4,1,6,5,3] => 8 [2,4,3,1,5,6] => 8 [2,4,3,1,6,5] => 8 [2,4,3,5,1,6] => 8 [2,4,3,5,6,1] => 8 [2,4,3,6,1,5] => 8 [2,4,3,6,5,1] => 8 [2,4,5,1,3,6] => 8 [2,4,5,1,6,3] => 4 [2,4,5,3,1,6] => 8 [2,4,5,3,6,1] => 4 [2,4,5,6,1,3] => 8 [2,4,5,6,3,1] => 8 [2,4,6,1,3,5] => 4 [2,4,6,1,5,3] => 8 [2,4,6,3,1,5] => 8 [2,4,6,3,5,1] => 8 [2,4,6,5,1,3] => 8 [2,4,6,5,3,1] => 8 [2,5,1,3,4,6] => 8 [2,5,1,3,6,4] => 4 [2,5,1,4,3,6] => 8 [2,5,1,4,6,3] => 8 [2,5,1,6,3,4] => 8 [2,5,1,6,4,3] => 8 [2,5,3,1,4,6] => 8 [2,5,3,1,6,4] => 8 [2,5,3,4,1,6] => 8 [2,5,3,4,6,1] => 4 [2,5,3,6,1,4] => 8 [2,5,3,6,4,1] => 8 [2,5,4,1,3,6] => 8 [2,5,4,1,6,3] => 4 [2,5,4,3,1,6] => 8 [2,5,4,3,6,1] => 4 [2,5,4,6,1,3] => 8 [2,5,4,6,3,1] => 8 [2,5,6,1,3,4] => 8 [2,5,6,1,4,3] => 8 [2,5,6,3,1,4] => 8 [2,5,6,3,4,1] => 8 [2,5,6,4,1,3] => 8 [2,5,6,4,3,1] => 8 [2,6,1,3,4,5] => 8 [2,6,1,3,5,4] => 8 [2,6,1,4,3,5] => 8 [2,6,1,4,5,3] => 8 [2,6,1,5,3,4] => 8 [2,6,1,5,4,3] => 8 [2,6,3,1,4,5] => 8 [2,6,3,1,5,4] => 8 [2,6,3,4,1,5] => 4 [2,6,3,4,5,1] => 8 [2,6,3,5,1,4] => 8 [2,6,3,5,4,1] => 8 [2,6,4,1,3,5] => 8 [2,6,4,1,5,3] => 8 [2,6,4,3,1,5] => 4 [2,6,4,3,5,1] => 8 [2,6,4,5,1,3] => 8 [2,6,4,5,3,1] => 8 [2,6,5,1,3,4] => 8 [2,6,5,1,4,3] => 8 [2,6,5,3,1,4] => 8 [2,6,5,3,4,1] => 8 [2,6,5,4,1,3] => 8 [2,6,5,4,3,1] => 8 [3,1,2,4,5,6] => 8 [3,1,2,4,6,5] => 8 [3,1,2,5,4,6] => 8 [3,1,2,5,6,4] => 4 [3,1,2,6,4,5] => 4 [3,1,2,6,5,4] => 8 [3,1,4,2,5,6] => 8 [3,1,4,2,6,5] => 8 [3,1,4,5,2,6] => 8 [3,1,4,5,6,2] => 8 [3,1,4,6,2,5] => 4 [3,1,4,6,5,2] => 8 [3,1,5,2,4,6] => 8 [3,1,5,2,6,4] => 4 [3,1,5,4,2,6] => 8 [3,1,5,4,6,2] => 8 [3,1,5,6,2,4] => 8 [3,1,5,6,4,2] => 8 [3,1,6,2,4,5] => 8 [3,1,6,2,5,4] => 8 [3,1,6,4,2,5] => 8 [3,1,6,4,5,2] => 8 [3,1,6,5,2,4] => 8 [3,1,6,5,4,2] => 8 [3,2,1,4,5,6] => 4 [3,2,1,4,6,5] => 4 [3,2,1,5,4,6] => 4 [3,2,1,5,6,4] => 8 [3,2,1,6,4,5] => 8 [3,2,1,6,5,4] => 2 [3,2,4,1,5,6] => 8 [3,2,4,1,6,5] => 8 [3,2,4,5,1,6] => 8 [3,2,4,5,6,1] => 8 [3,2,4,6,1,5] => 8 [3,2,4,6,5,1] => 4 [3,2,5,1,4,6] => 8 [3,2,5,1,6,4] => 8 [3,2,5,4,1,6] => 8 [3,2,5,4,6,1] => 8 [3,2,5,6,1,4] => 8 [3,2,5,6,4,1] => 8 [3,2,6,1,4,5] => 8 [3,2,6,1,5,4] => 4 [3,2,6,4,1,5] => 8 [3,2,6,4,5,1] => 8 [3,2,6,5,1,4] => 8 [3,2,6,5,4,1] => 8 [3,4,1,2,5,6] => 4 [3,4,1,2,6,5] => 4 [3,4,1,5,2,6] => 8 [3,4,1,5,6,2] => 8 [3,4,1,6,2,5] => 8 [3,4,1,6,5,2] => 8 [3,4,2,1,5,6] => 8 [3,4,2,1,6,5] => 8 [3,4,2,5,1,6] => 8 [3,4,2,5,6,1] => 8 [3,4,2,6,1,5] => 8 [3,4,2,6,5,1] => 8 [3,4,5,1,2,6] => 8 [3,4,5,1,6,2] => 8 [3,4,5,2,1,6] => 8 [3,4,5,2,6,1] => 8 [3,4,5,6,1,2] => 4 [3,4,5,6,2,1] => 4 [3,4,6,1,2,5] => 8 [3,4,6,1,5,2] => 8 [3,4,6,2,1,5] => 8 [3,4,6,2,5,1] => 8 [3,4,6,5,1,2] => 8 [3,4,6,5,2,1] => 8 [3,5,1,2,4,6] => 8 [3,5,1,2,6,4] => 8 [3,5,1,4,2,6] => 4 [3,5,1,4,6,2] => 8 [3,5,1,6,2,4] => 2 [3,5,1,6,4,2] => 8 [3,5,2,1,4,6] => 8 [3,5,2,1,6,4] => 8 [3,5,2,4,1,6] => 8 [3,5,2,4,6,1] => 8 [3,5,2,6,1,4] => 8 [3,5,2,6,4,1] => 4 [3,5,4,1,2,6] => 8 [3,5,4,1,6,2] => 8 [3,5,4,2,1,6] => 8 [3,5,4,2,6,1] => 8 [3,5,4,6,1,2] => 4 [3,5,4,6,2,1] => 4 [3,5,6,1,2,4] => 4 [3,5,6,1,4,2] => 8 [3,5,6,2,1,4] => 8 [3,5,6,2,4,1] => 8 [3,5,6,4,1,2] => 8 [3,5,6,4,2,1] => 8 [3,6,1,2,4,5] => 8 [3,6,1,2,5,4] => 8 [3,6,1,4,2,5] => 8 [3,6,1,4,5,2] => 4 [3,6,1,5,2,4] => 8 [3,6,1,5,4,2] => 4 [3,6,2,1,4,5] => 8 [3,6,2,1,5,4] => 8 [3,6,2,4,1,5] => 8 [3,6,2,4,5,1] => 8 [3,6,2,5,1,4] => 4 [3,6,2,5,4,1] => 8 [3,6,4,1,2,5] => 8 [3,6,4,1,5,2] => 8 [3,6,4,2,1,5] => 8 [3,6,4,2,5,1] => 8 [3,6,4,5,1,2] => 8 [3,6,4,5,2,1] => 8 [3,6,5,1,2,4] => 8 [3,6,5,1,4,2] => 8 [3,6,5,2,1,4] => 4 [3,6,5,2,4,1] => 8 [3,6,5,4,1,2] => 8 [3,6,5,4,2,1] => 8 [4,1,2,3,5,6] => 8 [4,1,2,3,6,5] => 8 [4,1,2,5,3,6] => 8 [4,1,2,5,6,3] => 4 [4,1,2,6,3,5] => 8 [4,1,2,6,5,3] => 8 [4,1,3,2,5,6] => 8 [4,1,3,2,6,5] => 8 [4,1,3,5,2,6] => 8 [4,1,3,5,6,2] => 8 [4,1,3,6,2,5] => 8 [4,1,3,6,5,2] => 8 [4,1,5,2,3,6] => 8 [4,1,5,2,6,3] => 4 [4,1,5,3,2,6] => 8 [4,1,5,3,6,2] => 8 [4,1,5,6,2,3] => 8 [4,1,5,6,3,2] => 8 [4,1,6,2,3,5] => 4 [4,1,6,2,5,3] => 8 [4,1,6,3,2,5] => 4 [4,1,6,3,5,2] => 8 [4,1,6,5,2,3] => 8 [4,1,6,5,3,2] => 8 [4,2,1,3,5,6] => 8 [4,2,1,3,6,5] => 8 [4,2,1,5,3,6] => 8 [4,2,1,5,6,3] => 8 [4,2,1,6,3,5] => 8 [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] => 8 [4,2,3,5,6,1] => 8 [4,2,3,6,1,5] => 8 [4,2,3,6,5,1] => 8 [4,2,5,1,3,6] => 4 [4,2,5,1,6,3] => 8 [4,2,5,3,1,6] => 8 [4,2,5,3,6,1] => 8 [4,2,5,6,1,3] => 8 [4,2,5,6,3,1] => 8 [4,2,6,1,3,5] => 8 [4,2,6,1,5,3] => 2 [4,2,6,3,1,5] => 8 [4,2,6,3,5,1] => 4 [4,2,6,5,1,3] => 8 [4,2,6,5,3,1] => 8 [4,3,1,2,5,6] => 8 [4,3,1,2,6,5] => 8 [4,3,1,5,2,6] => 8 [4,3,1,5,6,2] => 8 [4,3,1,6,2,5] => 8 [4,3,1,6,5,2] => 8 [4,3,2,1,5,6] => 4 [4,3,2,1,6,5] => 4 [4,3,2,5,1,6] => 8 [4,3,2,5,6,1] => 8 [4,3,2,6,1,5] => 8 [4,3,2,6,5,1] => 8 [4,3,5,1,2,6] => 8 [4,3,5,1,6,2] => 8 [4,3,5,2,1,6] => 8 [4,3,5,2,6,1] => 8 [4,3,5,6,1,2] => 8 [4,3,5,6,2,1] => 8 [4,3,6,1,2,5] => 8 [4,3,6,1,5,2] => 8 [4,3,6,2,1,5] => 8 [4,3,6,2,5,1] => 8 [4,3,6,5,1,2] => 4 [4,3,6,5,2,1] => 4 [4,5,1,2,3,6] => 8 [4,5,1,2,6,3] => 8 [4,5,1,3,2,6] => 8 [4,5,1,3,6,2] => 8 [4,5,1,6,2,3] => 4 [4,5,1,6,3,2] => 8 [4,5,2,1,3,6] => 8 [4,5,2,1,6,3] => 8 [4,5,2,3,1,6] => 8 [4,5,2,3,6,1] => 8 [4,5,2,6,1,3] => 8 [4,5,2,6,3,1] => 8 [4,5,3,1,2,6] => 4 [4,5,3,1,6,2] => 8 [4,5,3,2,1,6] => 8 [4,5,3,2,6,1] => 8 [4,5,3,6,1,2] => 8 [4,5,3,6,2,1] => 8 [4,5,6,1,2,3] => 2 [4,5,6,1,3,2] => 8 [4,5,6,2,1,3] => 8 [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] => 8 [4,6,1,2,5,3] => 8 [4,6,1,3,2,5] => 8 [4,6,1,3,5,2] => 8 [4,6,1,5,2,3] => 8 [4,6,1,5,3,2] => 8 [4,6,2,1,3,5] => 8 [4,6,2,1,5,3] => 8 [4,6,2,3,1,5] => 8 [4,6,2,3,5,1] => 8 [4,6,2,5,1,3] => 4 [4,6,2,5,3,1] => 8 [4,6,3,1,2,5] => 8 [4,6,3,1,5,2] => 4 [4,6,3,2,1,5] => 8 [4,6,3,2,5,1] => 8 [4,6,3,5,1,2] => 8 [4,6,3,5,2,1] => 8 [4,6,5,1,2,3] => 8 [4,6,5,1,3,2] => 4 [4,6,5,2,1,3] => 4 [4,6,5,2,3,1] => 8 [4,6,5,3,1,2] => 8 [4,6,5,3,2,1] => 8 [5,1,2,3,4,6] => 8 [5,1,2,3,6,4] => 8 [5,1,2,4,3,6] => 8 [5,1,2,4,6,3] => 8 [5,1,2,6,3,4] => 8 [5,1,2,6,4,3] => 8 [5,1,3,2,4,6] => 8 [5,1,3,2,6,4] => 8 [5,1,3,4,2,6] => 8 [5,1,3,4,6,2] => 4 [5,1,3,6,2,4] => 8 [5,1,3,6,4,2] => 8 [5,1,4,2,3,6] => 8 [5,1,4,2,6,3] => 8 [5,1,4,3,2,6] => 8 [5,1,4,3,6,2] => 4 [5,1,4,6,2,3] => 8 [5,1,4,6,3,2] => 8 [5,1,6,2,3,4] => 8 [5,1,6,2,4,3] => 8 [5,1,6,3,2,4] => 8 [5,1,6,3,4,2] => 8 [5,1,6,4,2,3] => 8 [5,1,6,4,3,2] => 8 [5,2,1,3,4,6] => 8 [5,2,1,3,6,4] => 8 [5,2,1,4,3,6] => 8 [5,2,1,4,6,3] => 8 [5,2,1,6,3,4] => 8 [5,2,1,6,4,3] => 8 [5,2,3,1,4,6] => 8 [5,2,3,1,6,4] => 8 [5,2,3,4,1,6] => 4 [5,2,3,4,6,1] => 8 [5,2,3,6,1,4] => 4 [5,2,3,6,4,1] => 8 [5,2,4,1,3,6] => 8 [5,2,4,1,6,3] => 8 [5,2,4,3,1,6] => 4 [5,2,4,3,6,1] => 8 [5,2,4,6,1,3] => 8 [5,2,4,6,3,1] => 8 [5,2,6,1,3,4] => 8 [5,2,6,1,4,3] => 8 [5,2,6,3,1,4] => 8 [5,2,6,3,4,1] => 8 [5,2,6,4,1,3] => 4 [5,2,6,4,3,1] => 8 [5,3,1,2,4,6] => 8 [5,3,1,2,6,4] => 8 [5,3,1,4,2,6] => 8 [5,3,1,4,6,2] => 8 [5,3,1,6,2,4] => 8 [5,3,1,6,4,2] => 4 [5,3,2,1,4,6] => 8 [5,3,2,1,6,4] => 8 [5,3,2,4,1,6] => 4 [5,3,2,4,6,1] => 8 [5,3,2,6,1,4] => 4 [5,3,2,6,4,1] => 8 [5,3,4,1,2,6] => 8 [5,3,4,1,6,2] => 8 [5,3,4,2,1,6] => 8 [5,3,4,2,6,1] => 8 [5,3,4,6,1,2] => 8 [5,3,4,6,2,1] => 8 [5,3,6,1,2,4] => 8 [5,3,6,1,4,2] => 4 [5,3,6,2,1,4] => 8 [5,3,6,2,4,1] => 8 [5,3,6,4,1,2] => 8 [5,3,6,4,2,1] => 8 [5,4,1,2,3,6] => 8 [5,4,1,2,6,3] => 8 [5,4,1,3,2,6] => 8 [5,4,1,3,6,2] => 8 [5,4,1,6,2,3] => 8 [5,4,1,6,3,2] => 4 [5,4,2,1,3,6] => 8 [5,4,2,1,6,3] => 8 [5,4,2,3,1,6] => 8 [5,4,2,3,6,1] => 8 [5,4,2,6,1,3] => 8 [5,4,2,6,3,1] => 8 [5,4,3,1,2,6] => 8 [5,4,3,1,6,2] => 8 [5,4,3,2,1,6] => 4 [5,4,3,2,6,1] => 8 [5,4,3,6,1,2] => 8 [5,4,3,6,2,1] => 8 [5,4,6,1,2,3] => 8 [5,4,6,1,3,2] => 4 [5,4,6,2,1,3] => 4 [5,4,6,2,3,1] => 8 [5,4,6,3,1,2] => 8 [5,4,6,3,2,1] => 8 [5,6,1,2,3,4] => 4 [5,6,1,2,4,3] => 8 [5,6,1,3,2,4] => 4 [5,6,1,3,4,2] => 8 [5,6,1,4,2,3] => 8 [5,6,1,4,3,2] => 8 [5,6,2,1,3,4] => 8 [5,6,2,1,4,3] => 4 [5,6,2,3,1,4] => 8 [5,6,2,3,4,1] => 4 [5,6,2,4,1,3] => 8 [5,6,2,4,3,1] => 8 [5,6,3,1,2,4] => 8 [5,6,3,1,4,2] => 8 [5,6,3,2,1,4] => 8 [5,6,3,2,4,1] => 8 [5,6,3,4,1,2] => 2 [5,6,3,4,2,1] => 4 [5,6,4,1,2,3] => 4 [5,6,4,1,3,2] => 8 [5,6,4,2,1,3] => 8 [5,6,4,2,3,1] => 4 [5,6,4,3,1,2] => 2 [5,6,4,3,2,1] => 4 [6,1,2,3,4,5] => 4 [6,1,2,3,5,4] => 8 [6,1,2,4,3,5] => 8 [6,1,2,4,5,3] => 8 [6,1,2,5,3,4] => 8 [6,1,2,5,4,3] => 8 [6,1,3,2,4,5] => 8 [6,1,3,2,5,4] => 8 [6,1,3,4,2,5] => 4 [6,1,3,4,5,2] => 8 [6,1,3,5,2,4] => 8 [6,1,3,5,4,2] => 8 [6,1,4,2,3,5] => 4 [6,1,4,2,5,3] => 8 [6,1,4,3,2,5] => 4 [6,1,4,3,5,2] => 8 [6,1,4,5,2,3] => 8 [6,1,4,5,3,2] => 8 [6,1,5,2,3,4] => 8 [6,1,5,2,4,3] => 8 [6,1,5,3,2,4] => 8 [6,1,5,3,4,2] => 8 [6,1,5,4,2,3] => 8 [6,1,5,4,3,2] => 8 [6,2,1,3,4,5] => 8 [6,2,1,3,5,4] => 4 [6,2,1,4,3,5] => 8 [6,2,1,4,5,3] => 8 [6,2,1,5,3,4] => 8 [6,2,1,5,4,3] => 8 [6,2,3,1,4,5] => 8 [6,2,3,1,5,4] => 8 [6,2,3,4,1,5] => 8 [6,2,3,4,5,1] => 2 [6,2,3,5,1,4] => 8 [6,2,3,5,4,1] => 4 [6,2,4,1,3,5] => 8 [6,2,4,1,5,3] => 4 [6,2,4,3,1,5] => 8 [6,2,4,3,5,1] => 2 [6,2,4,5,1,3] => 8 [6,2,4,5,3,1] => 8 [6,2,5,1,3,4] => 8 [6,2,5,1,4,3] => 8 [6,2,5,3,1,4] => 8 [6,2,5,3,4,1] => 8 [6,2,5,4,1,3] => 8 [6,2,5,4,3,1] => 4 [6,3,1,2,4,5] => 8 [6,3,1,2,5,4] => 8 [6,3,1,4,2,5] => 8 [6,3,1,4,5,2] => 8 [6,3,1,5,2,4] => 4 [6,3,1,5,4,2] => 8 [6,3,2,1,4,5] => 8 [6,3,2,1,5,4] => 8 [6,3,2,4,1,5] => 8 [6,3,2,4,5,1] => 4 [6,3,2,5,1,4] => 8 [6,3,2,5,4,1] => 2 [6,3,4,1,2,5] => 8 [6,3,4,1,5,2] => 8 [6,3,4,2,1,5] => 8 [6,3,4,2,5,1] => 8 [6,3,4,5,1,2] => 4 [6,3,4,5,2,1] => 4 [6,3,5,1,2,4] => 8 [6,3,5,1,4,2] => 8 [6,3,5,2,1,4] => 8 [6,3,5,2,4,1] => 4 [6,3,5,4,1,2] => 8 [6,3,5,4,2,1] => 8 [6,4,1,2,3,5] => 8 [6,4,1,2,5,3] => 8 [6,4,1,3,2,5] => 8 [6,4,1,3,5,2] => 8 [6,4,1,5,2,3] => 8 [6,4,1,5,3,2] => 8 [6,4,2,1,3,5] => 8 [6,4,2,1,5,3] => 8 [6,4,2,3,1,5] => 8 [6,4,2,3,5,1] => 8 [6,4,2,5,1,3] => 8 [6,4,2,5,3,1] => 4 [6,4,3,1,2,5] => 8 [6,4,3,1,5,2] => 8 [6,4,3,2,1,5] => 8 [6,4,3,2,5,1] => 4 [6,4,3,5,1,2] => 8 [6,4,3,5,2,1] => 8 [6,4,5,1,2,3] => 4 [6,4,5,1,3,2] => 8 [6,4,5,2,1,3] => 8 [6,4,5,2,3,1] => 2 [6,4,5,3,1,2] => 4 [6,4,5,3,2,1] => 4 [6,5,1,2,3,4] => 4 [6,5,1,2,4,3] => 8 [6,5,1,3,2,4] => 4 [6,5,1,3,4,2] => 8 [6,5,1,4,2,3] => 8 [6,5,1,4,3,2] => 8 [6,5,2,1,3,4] => 8 [6,5,2,1,4,3] => 4 [6,5,2,3,1,4] => 8 [6,5,2,3,4,1] => 4 [6,5,2,4,1,3] => 8 [6,5,2,4,3,1] => 8 [6,5,3,1,2,4] => 8 [6,5,3,1,4,2] => 8 [6,5,3,2,1,4] => 8 [6,5,3,2,4,1] => 8 [6,5,3,4,1,2] => 4 [6,5,3,4,2,1] => 2 [6,5,4,1,2,3] => 4 [6,5,4,1,3,2] => 8 [6,5,4,2,1,3] => 8 [6,5,4,2,3,1] => 4 [6,5,4,3,1,2] => 4 [6,5,4,3,2,1] => 2 [1,2,3,4,5,6,7] => 2 [1,2,3,4,5,7,6] => 4 [1,2,3,4,6,5,7] => 4 [1,2,3,4,6,7,5] => 8 [1,2,3,4,7,5,6] => 8 [1,2,3,4,7,6,5] => 4 [1,2,3,5,4,6,7] => 4 [1,2,3,5,4,7,6] => 4 [1,2,3,5,6,4,7] => 8 [1,2,3,5,6,7,4] => 8 [1,2,3,5,7,4,6] => 8 [1,2,3,5,7,6,4] => 8 [1,2,3,6,4,5,7] => 8 [1,2,3,6,4,7,5] => 8 [1,2,3,6,5,4,7] => 4 [1,2,3,6,5,7,4] => 8 [1,2,3,6,7,4,5] => 4 [1,2,3,6,7,5,4] => 8 [1,2,3,7,4,5,6] => 8 [1,2,3,7,4,6,5] => 8 [1,2,3,7,5,4,6] => 8 [1,2,3,7,5,6,4] => 4 [1,2,3,7,6,4,5] => 8 [1,2,3,7,6,5,4] => 4 [1,2,4,3,5,6,7] => 4 [1,2,4,3,5,7,6] => 4 [1,2,4,3,6,5,7] => 4 [1,2,4,3,6,7,5] => 8 [1,2,4,3,7,5,6] => 8 [1,2,4,3,7,6,5] => 4 [1,2,4,5,3,6,7] => 4 [1,2,4,5,3,7,6] => 8 [1,2,4,5,6,3,7] => 8 [1,2,4,5,6,7,3] => 8 [1,2,4,5,7,3,6] => 8 [1,2,4,5,7,6,3] => 8 [1,2,4,6,3,5,7] => 8 [1,2,4,6,3,7,5] => 8 [1,2,4,6,5,3,7] => 8 [1,2,4,6,5,7,3] => 8 [1,2,4,6,7,3,5] => 8 [1,2,4,6,7,5,3] => 8 [1,2,4,7,3,5,6] => 8 [1,2,4,7,3,6,5] => 8 [1,2,4,7,5,3,6] => 8 [1,2,4,7,5,6,3] => 8 [1,2,4,7,6,3,5] => 8 [1,2,4,7,6,5,3] => 8 [1,2,5,3,4,6,7] => 4 [1,2,5,3,4,7,6] => 8 [1,2,5,3,6,4,7] => 8 [1,2,5,3,6,7,4] => 8 [1,2,5,3,7,4,6] => 8 [1,2,5,3,7,6,4] => 8 [1,2,5,4,3,6,7] => 2 [1,2,5,4,3,7,6] => 4 [1,2,5,4,6,3,7] => 8 [1,2,5,4,6,7,3] => 8 [1,2,5,4,7,3,6] => 8 [1,2,5,4,7,6,3] => 8 [1,2,5,6,3,4,7] => 4 [1,2,5,6,3,7,4] => 8 [1,2,5,6,4,3,7] => 8 [1,2,5,6,4,7,3] => 8 [1,2,5,6,7,3,4] => 8 [1,2,5,6,7,4,3] => 8 [1,2,5,7,3,4,6] => 8 [1,2,5,7,3,6,4] => 4 [1,2,5,7,4,3,6] => 8 [1,2,5,7,4,6,3] => 8 [1,2,5,7,6,3,4] => 8 [1,2,5,7,6,4,3] => 8 [1,2,6,3,4,5,7] => 8 [1,2,6,3,4,7,5] => 8 [1,2,6,3,5,4,7] => 8 [1,2,6,3,5,7,4] => 8 [1,2,6,3,7,4,5] => 8 [1,2,6,3,7,5,4] => 8 [1,2,6,4,3,5,7] => 8 [1,2,6,4,3,7,5] => 8 [1,2,6,4,5,3,7] => 4 [1,2,6,4,5,7,3] => 8 [1,2,6,4,7,3,5] => 4 [1,2,6,4,7,5,3] => 8 [1,2,6,5,3,4,7] => 8 [1,2,6,5,3,7,4] => 8 [1,2,6,5,4,3,7] => 4 [1,2,6,5,4,7,3] => 8 [1,2,6,5,7,3,4] => 8 [1,2,6,5,7,4,3] => 8 [1,2,6,7,3,4,5] => 8 [1,2,6,7,3,5,4] => 8 [1,2,6,7,4,3,5] => 8 [1,2,6,7,4,5,3] => 8 [1,2,6,7,5,3,4] => 4 [1,2,6,7,5,4,3] => 8 [1,2,7,3,4,5,6] => 8 [1,2,7,3,4,6,5] => 8 [1,2,7,3,5,4,6] => 8 [1,2,7,3,5,6,4] => 8 [1,2,7,3,6,4,5] => 8 [1,2,7,3,6,5,4] => 8 [1,2,7,4,3,5,6] => 8 [1,2,7,4,3,6,5] => 8 [1,2,7,4,5,3,6] => 8 [1,2,7,4,5,6,3] => 4 [1,2,7,4,6,3,5] => 8 [1,2,7,4,6,5,3] => 4 [1,2,7,5,3,4,6] => 8 [1,2,7,5,3,6,4] => 8 [1,2,7,5,4,3,6] => 8 [1,2,7,5,4,6,3] => 4 [1,2,7,5,6,3,4] => 8 [1,2,7,5,6,4,3] => 8 [1,2,7,6,3,4,5] => 8 [1,2,7,6,3,5,4] => 8 [1,2,7,6,4,3,5] => 8 [1,2,7,6,4,5,3] => 8 [1,2,7,6,5,3,4] => 8 [1,2,7,6,5,4,3] => 4 [1,3,2,4,5,6,7] => 4 [1,3,2,4,5,7,6] => 4 [1,3,2,4,6,5,7] => 2 [1,3,2,4,6,7,5] => 8 [1,3,2,4,7,5,6] => 8 [1,3,2,4,7,6,5] => 4 [1,3,2,5,4,6,7] => 4 [1,3,2,5,4,7,6] => 4 [1,3,2,5,6,4,7] => 8 [1,3,2,5,6,7,4] => 8 [1,3,2,5,7,4,6] => 8 [1,3,2,5,7,6,4] => 8 [1,3,2,6,4,5,7] => 8 [1,3,2,6,4,7,5] => 8 [1,3,2,6,5,4,7] => 4 [1,3,2,6,5,7,4] => 8 [1,3,2,6,7,4,5] => 4 [1,3,2,6,7,5,4] => 8 [1,3,2,7,4,5,6] => 8 [1,3,2,7,4,6,5] => 8 [1,3,2,7,5,4,6] => 8 [1,3,2,7,5,6,4] => 4 [1,3,2,7,6,4,5] => 8 [1,3,2,7,6,5,4] => 4 [1,3,4,2,5,6,7] => 8 [1,3,4,2,5,7,6] => 8 [1,3,4,2,6,5,7] => 8 [1,3,4,2,6,7,5] => 8 [1,3,4,2,7,5,6] => 8 [1,3,4,2,7,6,5] => 8 [1,3,4,5,2,6,7] => 8 [1,3,4,5,2,7,6] => 8 [1,3,4,5,6,2,7] => 4 [1,3,4,5,6,7,2] => 8 [1,3,4,5,7,2,6] => 8 [1,3,4,5,7,6,2] => 8 [1,3,4,6,2,5,7] => 8 [1,3,4,6,2,7,5] => 8 [1,3,4,6,5,2,7] => 8 [1,3,4,6,5,7,2] => 8 [1,3,4,6,7,2,5] => 8 [1,3,4,6,7,5,2] => 8 [1,3,4,7,2,5,6] => 8 [1,3,4,7,2,6,5] => 8 [1,3,4,7,5,2,6] => 8 [1,3,4,7,5,6,2] => 8 [1,3,4,7,6,2,5] => 8 [1,3,4,7,6,5,2] => 8 [1,3,5,2,4,6,7] => 8 [1,3,5,2,4,7,6] => 8 [1,3,5,2,6,4,7] => 4 [1,3,5,2,6,7,4] => 8 [1,3,5,2,7,4,6] => 8 [1,3,5,2,7,6,4] => 8 [1,3,5,4,2,6,7] => 8 [1,3,5,4,2,7,6] => 8 [1,3,5,4,6,2,7] => 4 [1,3,5,4,6,7,2] => 8 [1,3,5,4,7,2,6] => 8 [1,3,5,4,7,6,2] => 8 [1,3,5,6,2,4,7] => 8 [1,3,5,6,2,7,4] => 8 [1,3,5,6,4,2,7] => 8 [1,3,5,6,4,7,2] => 8 [1,3,5,6,7,2,4] => 8 [1,3,5,6,7,4,2] => 8 [1,3,5,7,2,4,6] => 8 [1,3,5,7,2,6,4] => 8 [1,3,5,7,4,2,6] => 8 [1,3,5,7,4,6,2] => 8 [1,3,5,7,6,2,4] => 8 [1,3,5,7,6,4,2] => 8 [1,3,6,2,4,5,7] => 8 [1,3,6,2,4,7,5] => 8 [1,3,6,2,5,4,7] => 8 [1,3,6,2,5,7,4] => 8 [1,3,6,2,7,4,5] => 8 [1,3,6,2,7,5,4] => 8 [1,3,6,4,2,5,7] => 4 [1,3,6,4,2,7,5] => 8 [1,3,6,4,5,2,7] => 8 [1,3,6,4,5,7,2] => 8 [1,3,6,4,7,2,5] => 8 [1,3,6,4,7,5,2] => 8 [1,3,6,5,2,4,7] => 8 [1,3,6,5,2,7,4] => 8 [1,3,6,5,4,2,7] => 8 [1,3,6,5,4,7,2] => 8 [1,3,6,5,7,2,4] => 8 [1,3,6,5,7,4,2] => 8 [1,3,6,7,2,4,5] => 8 [1,3,6,7,2,5,4] => 8 [1,3,6,7,4,2,5] => 8 [1,3,6,7,4,5,2] => 8 [1,3,6,7,5,2,4] => 8 [1,3,6,7,5,4,2] => 8 [1,3,7,2,4,5,6] => 8 [1,3,7,2,4,6,5] => 8 [1,3,7,2,5,4,6] => 8 [1,3,7,2,5,6,4] => 8 [1,3,7,2,6,4,5] => 8 [1,3,7,2,6,5,4] => 8 [1,3,7,4,2,5,6] => 8 [1,3,7,4,2,6,5] => 8 [1,3,7,4,5,2,6] => 8 [1,3,7,4,5,6,2] => 8 [1,3,7,4,6,2,5] => 8 [1,3,7,4,6,5,2] => 8 [1,3,7,5,2,4,6] => 8 [1,3,7,5,2,6,4] => 8 [1,3,7,5,4,2,6] => 8 [1,3,7,5,4,6,2] => 8 [1,3,7,5,6,2,4] => 8 [1,3,7,5,6,4,2] => 8 [1,3,7,6,2,4,5] => 8 [1,3,7,6,2,5,4] => 8 [1,3,7,6,4,2,5] => 8 [1,3,7,6,4,5,2] => 8 [1,3,7,6,5,2,4] => 8 [1,3,7,6,5,4,2] => 8 [1,4,2,3,5,6,7] => 8 [1,4,2,3,5,7,6] => 8 [1,4,2,3,6,5,7] => 8 [1,4,2,3,6,7,5] => 8 [1,4,2,3,7,5,6] => 8 [1,4,2,3,7,6,5] => 8 [1,4,2,5,3,6,7] => 8 [1,4,2,5,3,7,6] => 8 [1,4,2,5,6,3,7] => 8 [1,4,2,5,6,7,3] => 8 [1,4,2,5,7,3,6] => 8 [1,4,2,5,7,6,3] => 8 [1,4,2,6,3,5,7] => 4 [1,4,2,6,3,7,5] => 8 [1,4,2,6,5,3,7] => 8 [1,4,2,6,5,7,3] => 8 [1,4,2,6,7,3,5] => 8 [1,4,2,6,7,5,3] => 8 [1,4,2,7,3,5,6] => 8 [1,4,2,7,3,6,5] => 8 [1,4,2,7,5,3,6] => 8 [1,4,2,7,5,6,3] => 8 [1,4,2,7,6,3,5] => 8 [1,4,2,7,6,5,3] => 8 [1,4,3,2,5,6,7] => 4 [1,4,3,2,5,7,6] => 4 [1,4,3,2,6,5,7] => 4 [1,4,3,2,6,7,5] => 8 [1,4,3,2,7,5,6] => 8 [1,4,3,2,7,6,5] => 4 [1,4,3,5,2,6,7] => 8 [1,4,3,5,2,7,6] => 8 [1,4,3,5,6,2,7] => 8 [1,4,3,5,6,7,2] => 8 [1,4,3,5,7,2,6] => 8 [1,4,3,5,7,6,2] => 8 [1,4,3,6,2,5,7] => 8 [1,4,3,6,2,7,5] => 8 [1,4,3,6,5,2,7] => 4 [1,4,3,6,5,7,2] => 8 [1,4,3,6,7,2,5] => 8 [1,4,3,6,7,5,2] => 8 [1,4,3,7,2,5,6] => 8 [1,4,3,7,2,6,5] => 8 [1,4,3,7,5,2,6] => 8 [1,4,3,7,5,6,2] => 8 [1,4,3,7,6,2,5] => 8 [1,4,3,7,6,5,2] => 8 [1,4,5,2,3,6,7] => 4 [1,4,5,2,3,7,6] => 4 [1,4,5,2,6,3,7] => 8 [1,4,5,2,6,7,3] => 8 [1,4,5,2,7,3,6] => 8 [1,4,5,2,7,6,3] => 8 [1,4,5,3,2,6,7] => 8 [1,4,5,3,2,7,6] => 8 [1,4,5,3,6,2,7] => 8 [1,4,5,3,6,7,2] => 8 [1,4,5,3,7,2,6] => 8 [1,4,5,3,7,6,2] => 8 [1,4,5,6,2,3,7] => 4 [1,4,5,6,2,7,3] => 8 [1,4,5,6,3,2,7] => 4 [1,4,5,6,3,7,2] => 8 [1,4,5,6,7,2,3] => 8 [1,4,5,6,7,3,2] => 8 [1,4,5,7,2,3,6] => 8 [1,4,5,7,2,6,3] => 8 [1,4,5,7,3,2,6] => 8 [1,4,5,7,3,6,2] => 8 [1,4,5,7,6,2,3] => 8 [1,4,5,7,6,3,2] => 8 [1,4,6,2,3,5,7] => 8 [1,4,6,2,3,7,5] => 8 [1,4,6,2,5,3,7] => 4 [1,4,6,2,5,7,3] => 8 [1,4,6,2,7,3,5] => 4 [1,4,6,2,7,5,3] => 8 [1,4,6,3,2,5,7] => 8 [1,4,6,3,2,7,5] => 8 [1,4,6,3,5,2,7] => 8 [1,4,6,3,5,7,2] => 8 [1,4,6,3,7,2,5] => 8 [1,4,6,3,7,5,2] => 8 [1,4,6,5,2,3,7] => 8 [1,4,6,5,2,7,3] => 8 [1,4,6,5,3,2,7] => 8 [1,4,6,5,3,7,2] => 8 ----------------------------------------------------------------------------- Created: Feb 23, 2016 at 18:09 by Christian Stump ----------------------------------------------------------------------------- Last Updated: May 10, 2019 at 17:30 by Henning Ulfarsson