***************************************************************************** * 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: St001528 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The number of permutations such that the product with the permutation has the same number of fixed points. More formally, given a permutation $\pi$, this is the number of permutations $\sigma$ such that $\pi$ and $\pi\sigma$ have the same number of fixed points. Note that the number of permutations $\sigma$ such that $\pi$ and $\pi\sigma$ have the same cycle type is the size of the conjugacy class of $\pi$, [[St000690]]. ----------------------------------------------------------------------------- References: [1] balli Number of Permutations? [[MathOverflow:144899]] ----------------------------------------------------------------------------- Code: def statistic(pi): m = pi.number_of_fixed_points() return sum(1 for tau in Permutations(pi.size()) if (pi*tau).number_of_fixed_points() == m) ----------------------------------------------------------------------------- Statistic values: [1] => 1 [1,2] => 1 [2,1] => 1 [1,2,3] => 1 [1,3,2] => 3 [2,1,3] => 3 [2,3,1] => 2 [3,1,2] => 2 [3,2,1] => 3 [1,2,3,4] => 1 [1,2,4,3] => 6 [1,3,2,4] => 6 [1,3,4,2] => 8 [1,4,2,3] => 8 [1,4,3,2] => 6 [2,1,3,4] => 6 [2,1,4,3] => 9 [2,3,1,4] => 8 [2,3,4,1] => 9 [2,4,1,3] => 9 [2,4,3,1] => 8 [3,1,2,4] => 8 [3,1,4,2] => 9 [3,2,1,4] => 6 [3,2,4,1] => 8 [3,4,1,2] => 9 [3,4,2,1] => 9 [4,1,2,3] => 9 [4,1,3,2] => 8 [4,2,1,3] => 8 [4,2,3,1] => 6 [4,3,1,2] => 9 [4,3,2,1] => 9 [1,2,3,4,5] => 1 [1,2,3,5,4] => 10 [1,2,4,3,5] => 10 [1,2,4,5,3] => 20 [1,2,5,3,4] => 20 [1,2,5,4,3] => 10 [1,3,2,4,5] => 10 [1,3,2,5,4] => 45 [1,3,4,2,5] => 20 [1,3,4,5,2] => 45 [1,3,5,2,4] => 45 [1,3,5,4,2] => 20 [1,4,2,3,5] => 20 [1,4,2,5,3] => 45 [1,4,3,2,5] => 10 [1,4,3,5,2] => 20 [1,4,5,2,3] => 45 [1,4,5,3,2] => 45 [1,5,2,3,4] => 45 [1,5,2,4,3] => 20 [1,5,3,2,4] => 20 [1,5,3,4,2] => 10 [1,5,4,2,3] => 45 [1,5,4,3,2] => 45 [2,1,3,4,5] => 10 [2,1,3,5,4] => 45 [2,1,4,3,5] => 45 [2,1,4,5,3] => 44 [2,1,5,3,4] => 44 [2,1,5,4,3] => 45 [2,3,1,4,5] => 20 [2,3,1,5,4] => 44 [2,3,4,1,5] => 45 [2,3,4,5,1] => 44 [2,3,5,1,4] => 44 [2,3,5,4,1] => 45 [2,4,1,3,5] => 45 [2,4,1,5,3] => 44 [2,4,3,1,5] => 20 [2,4,3,5,1] => 45 [2,4,5,1,3] => 44 [2,4,5,3,1] => 44 [2,5,1,3,4] => 44 [2,5,1,4,3] => 45 [2,5,3,1,4] => 45 [2,5,3,4,1] => 20 [2,5,4,1,3] => 44 [2,5,4,3,1] => 44 [3,1,2,4,5] => 20 [3,1,2,5,4] => 44 [3,1,4,2,5] => 45 [3,1,4,5,2] => 44 [3,1,5,2,4] => 44 [3,1,5,4,2] => 45 [3,2,1,4,5] => 10 [3,2,1,5,4] => 45 [3,2,4,1,5] => 20 [3,2,4,5,1] => 45 [3,2,5,1,4] => 45 [3,2,5,4,1] => 20 [3,4,1,2,5] => 45 [3,4,1,5,2] => 44 [3,4,2,1,5] => 45 [3,4,2,5,1] => 44 [3,4,5,1,2] => 44 [3,4,5,2,1] => 44 [3,5,1,2,4] => 44 [3,5,1,4,2] => 45 [3,5,2,1,4] => 44 [3,5,2,4,1] => 45 [3,5,4,1,2] => 44 [3,5,4,2,1] => 44 [4,1,2,3,5] => 45 [4,1,2,5,3] => 44 [4,1,3,2,5] => 20 [4,1,3,5,2] => 45 [4,1,5,2,3] => 44 [4,1,5,3,2] => 44 [4,2,1,3,5] => 20 [4,2,1,5,3] => 45 [4,2,3,1,5] => 10 [4,2,3,5,1] => 20 [4,2,5,1,3] => 45 [4,2,5,3,1] => 45 [4,3,1,2,5] => 45 [4,3,1,5,2] => 44 [4,3,2,1,5] => 45 [4,3,2,5,1] => 44 [4,3,5,1,2] => 44 [4,3,5,2,1] => 44 [4,5,1,2,3] => 44 [4,5,1,3,2] => 44 [4,5,2,1,3] => 44 [4,5,2,3,1] => 44 [4,5,3,1,2] => 45 [4,5,3,2,1] => 45 [5,1,2,3,4] => 44 [5,1,2,4,3] => 45 [5,1,3,2,4] => 45 [5,1,3,4,2] => 20 [5,1,4,2,3] => 44 [5,1,4,3,2] => 44 [5,2,1,3,4] => 45 [5,2,1,4,3] => 20 [5,2,3,1,4] => 20 [5,2,3,4,1] => 10 [5,2,4,1,3] => 45 [5,2,4,3,1] => 45 [5,3,1,2,4] => 44 [5,3,1,4,2] => 45 [5,3,2,1,4] => 44 [5,3,2,4,1] => 45 [5,3,4,1,2] => 44 [5,3,4,2,1] => 44 [5,4,1,2,3] => 44 [5,4,1,3,2] => 44 [5,4,2,1,3] => 44 [5,4,2,3,1] => 44 [5,4,3,1,2] => 45 [5,4,3,2,1] => 45 [1,2,3,4,5,6] => 1 [1,2,3,4,6,5] => 15 [1,2,3,5,4,6] => 15 [1,2,3,5,6,4] => 40 [1,2,3,6,4,5] => 40 [1,2,3,6,5,4] => 15 [1,2,4,3,5,6] => 15 [1,2,4,3,6,5] => 135 [1,2,4,5,3,6] => 40 [1,2,4,5,6,3] => 135 [1,2,4,6,3,5] => 135 [1,2,4,6,5,3] => 40 [1,2,5,3,4,6] => 40 [1,2,5,3,6,4] => 135 [1,2,5,4,3,6] => 15 [1,2,5,4,6,3] => 40 [1,2,5,6,3,4] => 135 [1,2,5,6,4,3] => 135 [1,2,6,3,4,5] => 135 [1,2,6,3,5,4] => 40 [1,2,6,4,3,5] => 40 [1,2,6,4,5,3] => 15 [1,2,6,5,3,4] => 135 [1,2,6,5,4,3] => 135 [1,3,2,4,5,6] => 15 [1,3,2,4,6,5] => 135 [1,3,2,5,4,6] => 135 [1,3,2,5,6,4] => 264 [1,3,2,6,4,5] => 264 [1,3,2,6,5,4] => 135 [1,3,4,2,5,6] => 40 [1,3,4,2,6,5] => 264 [1,3,4,5,2,6] => 135 [1,3,4,5,6,2] => 264 [1,3,4,6,2,5] => 264 [1,3,4,6,5,2] => 135 [1,3,5,2,4,6] => 135 [1,3,5,2,6,4] => 264 [1,3,5,4,2,6] => 40 [1,3,5,4,6,2] => 135 [1,3,5,6,2,4] => 264 [1,3,5,6,4,2] => 264 [1,3,6,2,4,5] => 264 [1,3,6,2,5,4] => 135 [1,3,6,4,2,5] => 135 [1,3,6,4,5,2] => 40 [1,3,6,5,2,4] => 264 [1,3,6,5,4,2] => 264 [1,4,2,3,5,6] => 40 [1,4,2,3,6,5] => 264 [1,4,2,5,3,6] => 135 [1,4,2,5,6,3] => 264 [1,4,2,6,3,5] => 264 [1,4,2,6,5,3] => 135 [1,4,3,2,5,6] => 15 [1,4,3,2,6,5] => 135 [1,4,3,5,2,6] => 40 [1,4,3,5,6,2] => 135 [1,4,3,6,2,5] => 135 [1,4,3,6,5,2] => 40 [1,4,5,2,3,6] => 135 [1,4,5,2,6,3] => 264 [1,4,5,3,2,6] => 135 [1,4,5,3,6,2] => 264 [1,4,5,6,2,3] => 264 [1,4,5,6,3,2] => 264 [1,4,6,2,3,5] => 264 [1,4,6,2,5,3] => 135 [1,4,6,3,2,5] => 264 [1,4,6,3,5,2] => 135 [1,4,6,5,2,3] => 264 [1,4,6,5,3,2] => 264 [1,5,2,3,4,6] => 135 [1,5,2,3,6,4] => 264 [1,5,2,4,3,6] => 40 [1,5,2,4,6,3] => 135 [1,5,2,6,3,4] => 264 [1,5,2,6,4,3] => 264 [1,5,3,2,4,6] => 40 [1,5,3,2,6,4] => 135 [1,5,3,4,2,6] => 15 [1,5,3,4,6,2] => 40 [1,5,3,6,2,4] => 135 [1,5,3,6,4,2] => 135 [1,5,4,2,3,6] => 135 [1,5,4,2,6,3] => 264 [1,5,4,3,2,6] => 135 [1,5,4,3,6,2] => 264 [1,5,4,6,2,3] => 264 [1,5,4,6,3,2] => 264 [1,5,6,2,3,4] => 264 [1,5,6,2,4,3] => 264 [1,5,6,3,2,4] => 264 [1,5,6,3,4,2] => 264 [1,5,6,4,2,3] => 135 [1,5,6,4,3,2] => 135 [1,6,2,3,4,5] => 264 [1,6,2,3,5,4] => 135 [1,6,2,4,3,5] => 135 [1,6,2,4,5,3] => 40 [1,6,2,5,3,4] => 264 [1,6,2,5,4,3] => 264 [1,6,3,2,4,5] => 135 [1,6,3,2,5,4] => 40 [1,6,3,4,2,5] => 40 [1,6,3,4,5,2] => 15 [1,6,3,5,2,4] => 135 [1,6,3,5,4,2] => 135 [1,6,4,2,3,5] => 264 [1,6,4,2,5,3] => 135 [1,6,4,3,2,5] => 264 [1,6,4,3,5,2] => 135 [1,6,4,5,2,3] => 264 [1,6,4,5,3,2] => 264 [1,6,5,2,3,4] => 264 [1,6,5,2,4,3] => 264 [1,6,5,3,2,4] => 264 [1,6,5,3,4,2] => 264 [1,6,5,4,2,3] => 135 [1,6,5,4,3,2] => 135 [2,1,3,4,5,6] => 15 [2,1,3,4,6,5] => 135 [2,1,3,5,4,6] => 135 [2,1,3,5,6,4] => 264 [2,1,3,6,4,5] => 264 [2,1,3,6,5,4] => 135 [2,1,4,3,5,6] => 135 [2,1,4,3,6,5] => 265 [2,1,4,5,3,6] => 264 [2,1,4,5,6,3] => 265 [2,1,4,6,3,5] => 265 [2,1,4,6,5,3] => 264 [2,1,5,3,4,6] => 264 [2,1,5,3,6,4] => 265 [2,1,5,4,3,6] => 135 [2,1,5,4,6,3] => 264 [2,1,5,6,3,4] => 265 [2,1,5,6,4,3] => 265 [2,1,6,3,4,5] => 265 [2,1,6,3,5,4] => 264 [2,1,6,4,3,5] => 264 [2,1,6,4,5,3] => 135 [2,1,6,5,3,4] => 265 [2,1,6,5,4,3] => 265 [2,3,1,4,5,6] => 40 [2,3,1,4,6,5] => 264 [2,3,1,5,4,6] => 264 [2,3,1,5,6,4] => 265 [2,3,1,6,4,5] => 265 [2,3,1,6,5,4] => 264 [2,3,4,1,5,6] => 135 [2,3,4,1,6,5] => 265 [2,3,4,5,1,6] => 264 [2,3,4,5,6,1] => 265 [2,3,4,6,1,5] => 265 [2,3,4,6,5,1] => 264 [2,3,5,1,4,6] => 264 [2,3,5,1,6,4] => 265 [2,3,5,4,1,6] => 135 [2,3,5,4,6,1] => 264 [2,3,5,6,1,4] => 265 [2,3,5,6,4,1] => 265 [2,3,6,1,4,5] => 265 [2,3,6,1,5,4] => 264 [2,3,6,4,1,5] => 264 [2,3,6,4,5,1] => 135 [2,3,6,5,1,4] => 265 [2,3,6,5,4,1] => 265 [2,4,1,3,5,6] => 135 [2,4,1,3,6,5] => 265 [2,4,1,5,3,6] => 264 [2,4,1,5,6,3] => 265 [2,4,1,6,3,5] => 265 [2,4,1,6,5,3] => 264 [2,4,3,1,5,6] => 40 [2,4,3,1,6,5] => 264 [2,4,3,5,1,6] => 135 [2,4,3,5,6,1] => 264 [2,4,3,6,1,5] => 264 [2,4,3,6,5,1] => 135 [2,4,5,1,3,6] => 264 [2,4,5,1,6,3] => 265 [2,4,5,3,1,6] => 264 [2,4,5,3,6,1] => 265 [2,4,5,6,1,3] => 265 [2,4,5,6,3,1] => 265 [2,4,6,1,3,5] => 265 [2,4,6,1,5,3] => 264 [2,4,6,3,1,5] => 265 [2,4,6,3,5,1] => 264 [2,4,6,5,1,3] => 265 [2,4,6,5,3,1] => 265 [2,5,1,3,4,6] => 264 [2,5,1,3,6,4] => 265 [2,5,1,4,3,6] => 135 [2,5,1,4,6,3] => 264 [2,5,1,6,3,4] => 265 [2,5,1,6,4,3] => 265 [2,5,3,1,4,6] => 135 [2,5,3,1,6,4] => 264 [2,5,3,4,1,6] => 40 [2,5,3,4,6,1] => 135 [2,5,3,6,1,4] => 264 [2,5,3,6,4,1] => 264 [2,5,4,1,3,6] => 264 [2,5,4,1,6,3] => 265 [2,5,4,3,1,6] => 264 [2,5,4,3,6,1] => 265 [2,5,4,6,1,3] => 265 [2,5,4,6,3,1] => 265 [2,5,6,1,3,4] => 265 [2,5,6,1,4,3] => 265 [2,5,6,3,1,4] => 265 [2,5,6,3,4,1] => 265 [2,5,6,4,1,3] => 264 [2,5,6,4,3,1] => 264 [2,6,1,3,4,5] => 265 [2,6,1,3,5,4] => 264 [2,6,1,4,3,5] => 264 [2,6,1,4,5,3] => 135 [2,6,1,5,3,4] => 265 [2,6,1,5,4,3] => 265 [2,6,3,1,4,5] => 264 [2,6,3,1,5,4] => 135 [2,6,3,4,1,5] => 135 [2,6,3,4,5,1] => 40 [2,6,3,5,1,4] => 264 [2,6,3,5,4,1] => 264 [2,6,4,1,3,5] => 265 [2,6,4,1,5,3] => 264 [2,6,4,3,1,5] => 265 [2,6,4,3,5,1] => 264 [2,6,4,5,1,3] => 265 [2,6,4,5,3,1] => 265 [2,6,5,1,3,4] => 265 [2,6,5,1,4,3] => 265 [2,6,5,3,1,4] => 265 [2,6,5,3,4,1] => 265 [2,6,5,4,1,3] => 264 [2,6,5,4,3,1] => 264 [3,1,2,4,5,6] => 40 [3,1,2,4,6,5] => 264 [3,1,2,5,4,6] => 264 [3,1,2,5,6,4] => 265 [3,1,2,6,4,5] => 265 [3,1,2,6,5,4] => 264 [3,1,4,2,5,6] => 135 [3,1,4,2,6,5] => 265 [3,1,4,5,2,6] => 264 [3,1,4,5,6,2] => 265 [3,1,4,6,2,5] => 265 [3,1,4,6,5,2] => 264 [3,1,5,2,4,6] => 264 [3,1,5,2,6,4] => 265 [3,1,5,4,2,6] => 135 [3,1,5,4,6,2] => 264 [3,1,5,6,2,4] => 265 [3,1,5,6,4,2] => 265 [3,1,6,2,4,5] => 265 [3,1,6,2,5,4] => 264 [3,1,6,4,2,5] => 264 [3,1,6,4,5,2] => 135 [3,1,6,5,2,4] => 265 [3,1,6,5,4,2] => 265 [3,2,1,4,5,6] => 15 [3,2,1,4,6,5] => 135 [3,2,1,5,4,6] => 135 [3,2,1,5,6,4] => 264 [3,2,1,6,4,5] => 264 [3,2,1,6,5,4] => 135 [3,2,4,1,5,6] => 40 [3,2,4,1,6,5] => 264 [3,2,4,5,1,6] => 135 [3,2,4,5,6,1] => 264 [3,2,4,6,1,5] => 264 [3,2,4,6,5,1] => 135 [3,2,5,1,4,6] => 135 [3,2,5,1,6,4] => 264 [3,2,5,4,1,6] => 40 [3,2,5,4,6,1] => 135 [3,2,5,6,1,4] => 264 [3,2,5,6,4,1] => 264 [3,2,6,1,4,5] => 264 [3,2,6,1,5,4] => 135 [3,2,6,4,1,5] => 135 [3,2,6,4,5,1] => 40 [3,2,6,5,1,4] => 264 [3,2,6,5,4,1] => 264 [3,4,1,2,5,6] => 135 [3,4,1,2,6,5] => 265 [3,4,1,5,2,6] => 264 [3,4,1,5,6,2] => 265 [3,4,1,6,2,5] => 265 [3,4,1,6,5,2] => 264 [3,4,2,1,5,6] => 135 [3,4,2,1,6,5] => 265 [3,4,2,5,1,6] => 264 [3,4,2,5,6,1] => 265 [3,4,2,6,1,5] => 265 [3,4,2,6,5,1] => 264 [3,4,5,1,2,6] => 264 [3,4,5,1,6,2] => 265 [3,4,5,2,1,6] => 264 [3,4,5,2,6,1] => 265 [3,4,5,6,1,2] => 265 [3,4,5,6,2,1] => 265 [3,4,6,1,2,5] => 265 [3,4,6,1,5,2] => 264 [3,4,6,2,1,5] => 265 [3,4,6,2,5,1] => 264 [3,4,6,5,1,2] => 265 [3,4,6,5,2,1] => 265 [3,5,1,2,4,6] => 264 [3,5,1,2,6,4] => 265 [3,5,1,4,2,6] => 135 [3,5,1,4,6,2] => 264 [3,5,1,6,2,4] => 265 [3,5,1,6,4,2] => 265 [3,5,2,1,4,6] => 264 [3,5,2,1,6,4] => 265 [3,5,2,4,1,6] => 135 [3,5,2,4,6,1] => 264 [3,5,2,6,1,4] => 265 [3,5,2,6,4,1] => 265 [3,5,4,1,2,6] => 264 [3,5,4,1,6,2] => 265 [3,5,4,2,1,6] => 264 [3,5,4,2,6,1] => 265 [3,5,4,6,1,2] => 265 [3,5,4,6,2,1] => 265 [3,5,6,1,2,4] => 265 [3,5,6,1,4,2] => 265 [3,5,6,2,1,4] => 265 [3,5,6,2,4,1] => 265 [3,5,6,4,1,2] => 264 [3,5,6,4,2,1] => 264 [3,6,1,2,4,5] => 265 [3,6,1,2,5,4] => 264 [3,6,1,4,2,5] => 264 [3,6,1,4,5,2] => 135 [3,6,1,5,2,4] => 265 [3,6,1,5,4,2] => 265 [3,6,2,1,4,5] => 265 [3,6,2,1,5,4] => 264 [3,6,2,4,1,5] => 264 [3,6,2,4,5,1] => 135 [3,6,2,5,1,4] => 265 [3,6,2,5,4,1] => 265 [3,6,4,1,2,5] => 265 [3,6,4,1,5,2] => 264 [3,6,4,2,1,5] => 265 [3,6,4,2,5,1] => 264 [3,6,4,5,1,2] => 265 [3,6,4,5,2,1] => 265 [3,6,5,1,2,4] => 265 [3,6,5,1,4,2] => 265 [3,6,5,2,1,4] => 265 [3,6,5,2,4,1] => 265 [3,6,5,4,1,2] => 264 [3,6,5,4,2,1] => 264 [4,1,2,3,5,6] => 135 [4,1,2,3,6,5] => 265 [4,1,2,5,3,6] => 264 [4,1,2,5,6,3] => 265 [4,1,2,6,3,5] => 265 [4,1,2,6,5,3] => 264 [4,1,3,2,5,6] => 40 [4,1,3,2,6,5] => 264 [4,1,3,5,2,6] => 135 [4,1,3,5,6,2] => 264 [4,1,3,6,2,5] => 264 [4,1,3,6,5,2] => 135 [4,1,5,2,3,6] => 264 [4,1,5,2,6,3] => 265 [4,1,5,3,2,6] => 264 [4,1,5,3,6,2] => 265 [4,1,5,6,2,3] => 265 [4,1,5,6,3,2] => 265 [4,1,6,2,3,5] => 265 [4,1,6,2,5,3] => 264 [4,1,6,3,2,5] => 265 [4,1,6,3,5,2] => 264 [4,1,6,5,2,3] => 265 [4,1,6,5,3,2] => 265 [4,2,1,3,5,6] => 40 [4,2,1,3,6,5] => 264 [4,2,1,5,3,6] => 135 [4,2,1,5,6,3] => 264 [4,2,1,6,3,5] => 264 [4,2,1,6,5,3] => 135 [4,2,3,1,5,6] => 15 [4,2,3,1,6,5] => 135 [4,2,3,5,1,6] => 40 [4,2,3,5,6,1] => 135 [4,2,3,6,1,5] => 135 [4,2,3,6,5,1] => 40 [4,2,5,1,3,6] => 135 [4,2,5,1,6,3] => 264 [4,2,5,3,1,6] => 135 [4,2,5,3,6,1] => 264 [4,2,5,6,1,3] => 264 [4,2,5,6,3,1] => 264 [4,2,6,1,3,5] => 264 [4,2,6,1,5,3] => 135 [4,2,6,3,1,5] => 264 [4,2,6,3,5,1] => 135 [4,2,6,5,1,3] => 264 [4,2,6,5,3,1] => 264 [4,3,1,2,5,6] => 135 [4,3,1,2,6,5] => 265 [4,3,1,5,2,6] => 264 [4,3,1,5,6,2] => 265 [4,3,1,6,2,5] => 265 [4,3,1,6,5,2] => 264 [4,3,2,1,5,6] => 135 [4,3,2,1,6,5] => 265 [4,3,2,5,1,6] => 264 [4,3,2,5,6,1] => 265 [4,3,2,6,1,5] => 265 [4,3,2,6,5,1] => 264 [4,3,5,1,2,6] => 264 [4,3,5,1,6,2] => 265 [4,3,5,2,1,6] => 264 [4,3,5,2,6,1] => 265 [4,3,5,6,1,2] => 265 [4,3,5,6,2,1] => 265 [4,3,6,1,2,5] => 265 [4,3,6,1,5,2] => 264 [4,3,6,2,1,5] => 265 [4,3,6,2,5,1] => 264 [4,3,6,5,1,2] => 265 [4,3,6,5,2,1] => 265 [4,5,1,2,3,6] => 264 [4,5,1,2,6,3] => 265 [4,5,1,3,2,6] => 264 [4,5,1,3,6,2] => 265 [4,5,1,6,2,3] => 265 [4,5,1,6,3,2] => 265 [4,5,2,1,3,6] => 264 [4,5,2,1,6,3] => 265 [4,5,2,3,1,6] => 264 [4,5,2,3,6,1] => 265 [4,5,2,6,1,3] => 265 [4,5,2,6,3,1] => 265 [4,5,3,1,2,6] => 135 [4,5,3,1,6,2] => 264 [4,5,3,2,1,6] => 135 [4,5,3,2,6,1] => 264 [4,5,3,6,1,2] => 264 [4,5,3,6,2,1] => 264 [4,5,6,1,2,3] => 265 [4,5,6,1,3,2] => 265 [4,5,6,2,1,3] => 265 [4,5,6,2,3,1] => 265 [4,5,6,3,1,2] => 265 [4,5,6,3,2,1] => 265 [4,6,1,2,3,5] => 265 [4,6,1,2,5,3] => 264 [4,6,1,3,2,5] => 265 [4,6,1,3,5,2] => 264 [4,6,1,5,2,3] => 265 [4,6,1,5,3,2] => 265 [4,6,2,1,3,5] => 265 [4,6,2,1,5,3] => 264 [4,6,2,3,1,5] => 265 [4,6,2,3,5,1] => 264 [4,6,2,5,1,3] => 265 [4,6,2,5,3,1] => 265 [4,6,3,1,2,5] => 264 [4,6,3,1,5,2] => 135 [4,6,3,2,1,5] => 264 [4,6,3,2,5,1] => 135 [4,6,3,5,1,2] => 264 [4,6,3,5,2,1] => 264 [4,6,5,1,2,3] => 265 [4,6,5,1,3,2] => 265 [4,6,5,2,1,3] => 265 [4,6,5,2,3,1] => 265 [4,6,5,3,1,2] => 265 [4,6,5,3,2,1] => 265 [5,1,2,3,4,6] => 264 [5,1,2,3,6,4] => 265 [5,1,2,4,3,6] => 135 [5,1,2,4,6,3] => 264 [5,1,2,6,3,4] => 265 [5,1,2,6,4,3] => 265 [5,1,3,2,4,6] => 135 [5,1,3,2,6,4] => 264 [5,1,3,4,2,6] => 40 [5,1,3,4,6,2] => 135 [5,1,3,6,2,4] => 264 [5,1,3,6,4,2] => 264 [5,1,4,2,3,6] => 264 [5,1,4,2,6,3] => 265 [5,1,4,3,2,6] => 264 [5,1,4,3,6,2] => 265 [5,1,4,6,2,3] => 265 [5,1,4,6,3,2] => 265 [5,1,6,2,3,4] => 265 [5,1,6,2,4,3] => 265 [5,1,6,3,2,4] => 265 [5,1,6,3,4,2] => 265 [5,1,6,4,2,3] => 264 [5,1,6,4,3,2] => 264 [5,2,1,3,4,6] => 135 [5,2,1,3,6,4] => 264 [5,2,1,4,3,6] => 40 [5,2,1,4,6,3] => 135 [5,2,1,6,3,4] => 264 [5,2,1,6,4,3] => 264 [5,2,3,1,4,6] => 40 [5,2,3,1,6,4] => 135 [5,2,3,4,1,6] => 15 [5,2,3,4,6,1] => 40 [5,2,3,6,1,4] => 135 [5,2,3,6,4,1] => 135 [5,2,4,1,3,6] => 135 [5,2,4,1,6,3] => 264 [5,2,4,3,1,6] => 135 [5,2,4,3,6,1] => 264 [5,2,4,6,1,3] => 264 [5,2,4,6,3,1] => 264 [5,2,6,1,3,4] => 264 [5,2,6,1,4,3] => 264 [5,2,6,3,1,4] => 264 [5,2,6,3,4,1] => 264 [5,2,6,4,1,3] => 135 [5,2,6,4,3,1] => 135 [5,3,1,2,4,6] => 264 [5,3,1,2,6,4] => 265 [5,3,1,4,2,6] => 135 [5,3,1,4,6,2] => 264 [5,3,1,6,2,4] => 265 [5,3,1,6,4,2] => 265 [5,3,2,1,4,6] => 264 [5,3,2,1,6,4] => 265 [5,3,2,4,1,6] => 135 [5,3,2,4,6,1] => 264 [5,3,2,6,1,4] => 265 [5,3,2,6,4,1] => 265 [5,3,4,1,2,6] => 264 [5,3,4,1,6,2] => 265 [5,3,4,2,1,6] => 264 [5,3,4,2,6,1] => 265 [5,3,4,6,1,2] => 265 [5,3,4,6,2,1] => 265 [5,3,6,1,2,4] => 265 [5,3,6,1,4,2] => 265 [5,3,6,2,1,4] => 265 [5,3,6,2,4,1] => 265 [5,3,6,4,1,2] => 264 [5,3,6,4,2,1] => 264 [5,4,1,2,3,6] => 264 [5,4,1,2,6,3] => 265 [5,4,1,3,2,6] => 264 [5,4,1,3,6,2] => 265 [5,4,1,6,2,3] => 265 [5,4,1,6,3,2] => 265 [5,4,2,1,3,6] => 264 [5,4,2,1,6,3] => 265 [5,4,2,3,1,6] => 264 [5,4,2,3,6,1] => 265 [5,4,2,6,1,3] => 265 [5,4,2,6,3,1] => 265 [5,4,3,1,2,6] => 135 [5,4,3,1,6,2] => 264 [5,4,3,2,1,6] => 135 [5,4,3,2,6,1] => 264 [5,4,3,6,1,2] => 264 [5,4,3,6,2,1] => 264 [5,4,6,1,2,3] => 265 [5,4,6,1,3,2] => 265 [5,4,6,2,1,3] => 265 [5,4,6,2,3,1] => 265 [5,4,6,3,1,2] => 265 [5,4,6,3,2,1] => 265 [5,6,1,2,3,4] => 265 [5,6,1,2,4,3] => 265 [5,6,1,3,2,4] => 265 [5,6,1,3,4,2] => 265 [5,6,1,4,2,3] => 264 [5,6,1,4,3,2] => 264 [5,6,2,1,3,4] => 265 [5,6,2,1,4,3] => 265 [5,6,2,3,1,4] => 265 [5,6,2,3,4,1] => 265 [5,6,2,4,1,3] => 264 [5,6,2,4,3,1] => 264 [5,6,3,1,2,4] => 264 [5,6,3,1,4,2] => 264 [5,6,3,2,1,4] => 264 [5,6,3,2,4,1] => 264 [5,6,3,4,1,2] => 135 [5,6,3,4,2,1] => 135 [5,6,4,1,2,3] => 265 [5,6,4,1,3,2] => 265 [5,6,4,2,1,3] => 265 [5,6,4,2,3,1] => 265 [5,6,4,3,1,2] => 265 [5,6,4,3,2,1] => 265 [6,1,2,3,4,5] => 265 [6,1,2,3,5,4] => 264 [6,1,2,4,3,5] => 264 [6,1,2,4,5,3] => 135 [6,1,2,5,3,4] => 265 [6,1,2,5,4,3] => 265 [6,1,3,2,4,5] => 264 [6,1,3,2,5,4] => 135 [6,1,3,4,2,5] => 135 [6,1,3,4,5,2] => 40 [6,1,3,5,2,4] => 264 [6,1,3,5,4,2] => 264 [6,1,4,2,3,5] => 265 [6,1,4,2,5,3] => 264 [6,1,4,3,2,5] => 265 [6,1,4,3,5,2] => 264 [6,1,4,5,2,3] => 265 [6,1,4,5,3,2] => 265 [6,1,5,2,3,4] => 265 [6,1,5,2,4,3] => 265 [6,1,5,3,2,4] => 265 [6,1,5,3,4,2] => 265 [6,1,5,4,2,3] => 264 [6,1,5,4,3,2] => 264 [6,2,1,3,4,5] => 264 [6,2,1,3,5,4] => 135 [6,2,1,4,3,5] => 135 [6,2,1,4,5,3] => 40 [6,2,1,5,3,4] => 264 [6,2,1,5,4,3] => 264 [6,2,3,1,4,5] => 135 [6,2,3,1,5,4] => 40 [6,2,3,4,1,5] => 40 [6,2,3,4,5,1] => 15 [6,2,3,5,1,4] => 135 [6,2,3,5,4,1] => 135 [6,2,4,1,3,5] => 264 [6,2,4,1,5,3] => 135 [6,2,4,3,1,5] => 264 [6,2,4,3,5,1] => 135 [6,2,4,5,1,3] => 264 [6,2,4,5,3,1] => 264 [6,2,5,1,3,4] => 264 [6,2,5,1,4,3] => 264 [6,2,5,3,1,4] => 264 [6,2,5,3,4,1] => 264 [6,2,5,4,1,3] => 135 [6,2,5,4,3,1] => 135 [6,3,1,2,4,5] => 265 [6,3,1,2,5,4] => 264 [6,3,1,4,2,5] => 264 [6,3,1,4,5,2] => 135 [6,3,1,5,2,4] => 265 [6,3,1,5,4,2] => 265 [6,3,2,1,4,5] => 265 [6,3,2,1,5,4] => 264 [6,3,2,4,1,5] => 264 [6,3,2,4,5,1] => 135 [6,3,2,5,1,4] => 265 [6,3,2,5,4,1] => 265 [6,3,4,1,2,5] => 265 [6,3,4,1,5,2] => 264 [6,3,4,2,1,5] => 265 [6,3,4,2,5,1] => 264 [6,3,4,5,1,2] => 265 [6,3,4,5,2,1] => 265 [6,3,5,1,2,4] => 265 [6,3,5,1,4,2] => 265 [6,3,5,2,1,4] => 265 [6,3,5,2,4,1] => 265 [6,3,5,4,1,2] => 264 [6,3,5,4,2,1] => 264 [6,4,1,2,3,5] => 265 [6,4,1,2,5,3] => 264 [6,4,1,3,2,5] => 265 [6,4,1,3,5,2] => 264 [6,4,1,5,2,3] => 265 [6,4,1,5,3,2] => 265 [6,4,2,1,3,5] => 265 [6,4,2,1,5,3] => 264 [6,4,2,3,1,5] => 265 [6,4,2,3,5,1] => 264 [6,4,2,5,1,3] => 265 [6,4,2,5,3,1] => 265 [6,4,3,1,2,5] => 264 [6,4,3,1,5,2] => 135 [6,4,3,2,1,5] => 264 [6,4,3,2,5,1] => 135 [6,4,3,5,1,2] => 264 [6,4,3,5,2,1] => 264 [6,4,5,1,2,3] => 265 [6,4,5,1,3,2] => 265 [6,4,5,2,1,3] => 265 [6,4,5,2,3,1] => 265 [6,4,5,3,1,2] => 265 [6,4,5,3,2,1] => 265 [6,5,1,2,3,4] => 265 [6,5,1,2,4,3] => 265 [6,5,1,3,2,4] => 265 [6,5,1,3,4,2] => 265 [6,5,1,4,2,3] => 264 [6,5,1,4,3,2] => 264 [6,5,2,1,3,4] => 265 [6,5,2,1,4,3] => 265 [6,5,2,3,1,4] => 265 [6,5,2,3,4,1] => 265 [6,5,2,4,1,3] => 264 [6,5,2,4,3,1] => 264 [6,5,3,1,2,4] => 264 [6,5,3,1,4,2] => 264 [6,5,3,2,1,4] => 264 [6,5,3,2,4,1] => 264 [6,5,3,4,1,2] => 135 [6,5,3,4,2,1] => 135 [6,5,4,1,2,3] => 265 [6,5,4,1,3,2] => 265 [6,5,4,2,1,3] => 265 [6,5,4,2,3,1] => 265 [6,5,4,3,1,2] => 265 [6,5,4,3,2,1] => 265 [1,2,3,4,5,6,7] => 1 [1,2,3,4,5,7,6] => 21 [1,2,3,4,6,5,7] => 21 [1,2,3,4,6,7,5] => 70 [1,2,3,4,7,5,6] => 70 [1,2,3,4,7,6,5] => 21 [1,2,3,5,4,6,7] => 21 [1,2,3,5,4,7,6] => 315 [1,2,3,5,6,4,7] => 70 [1,2,3,5,6,7,4] => 315 [1,2,3,5,7,4,6] => 315 [1,2,3,5,7,6,4] => 70 [1,2,3,6,4,5,7] => 70 [1,2,3,6,4,7,5] => 315 [1,2,3,6,5,4,7] => 21 [1,2,3,6,5,7,4] => 70 [1,2,3,6,7,4,5] => 315 [1,2,3,6,7,5,4] => 315 [1,2,3,7,4,5,6] => 315 [1,2,3,7,4,6,5] => 70 [1,2,3,7,5,4,6] => 70 [1,2,3,7,5,6,4] => 21 [1,2,3,7,6,4,5] => 315 [1,2,3,7,6,5,4] => 315 [1,2,4,3,5,6,7] => 21 [1,2,4,3,5,7,6] => 315 [1,2,4,3,6,5,7] => 315 [1,2,4,3,6,7,5] => 924 [1,2,4,3,7,5,6] => 924 [1,2,4,3,7,6,5] => 315 [1,2,4,5,3,6,7] => 70 [1,2,4,5,3,7,6] => 924 [1,2,4,5,6,3,7] => 315 [1,2,4,5,6,7,3] => 924 [1,2,4,5,7,3,6] => 924 [1,2,4,5,7,6,3] => 315 [1,2,4,6,3,5,7] => 315 [1,2,4,6,3,7,5] => 924 [1,2,4,6,5,3,7] => 70 [1,2,4,6,5,7,3] => 315 [1,2,4,6,7,3,5] => 924 [1,2,4,6,7,5,3] => 924 [1,2,4,7,3,5,6] => 924 [1,2,4,7,3,6,5] => 315 [1,2,4,7,5,3,6] => 315 [1,2,4,7,5,6,3] => 70 [1,2,4,7,6,3,5] => 924 [1,2,4,7,6,5,3] => 924 [1,2,5,3,4,6,7] => 70 [1,2,5,3,4,7,6] => 924 [1,2,5,3,6,4,7] => 315 [1,2,5,3,6,7,4] => 924 [1,2,5,3,7,4,6] => 924 [1,2,5,3,7,6,4] => 315 [1,2,5,4,3,6,7] => 21 [1,2,5,4,3,7,6] => 315 [1,2,5,4,6,3,7] => 70 [1,2,5,4,6,7,3] => 315 [1,2,5,4,7,3,6] => 315 [1,2,5,4,7,6,3] => 70 [1,2,5,6,3,4,7] => 315 [1,2,5,6,3,7,4] => 924 [1,2,5,6,4,3,7] => 315 [1,2,5,6,4,7,3] => 924 [1,2,5,6,7,3,4] => 924 [1,2,5,6,7,4,3] => 924 [1,2,5,7,3,4,6] => 924 [1,2,5,7,3,6,4] => 315 [1,2,5,7,4,3,6] => 924 [1,2,5,7,4,6,3] => 315 [1,2,5,7,6,3,4] => 924 [1,2,5,7,6,4,3] => 924 [1,2,6,3,4,5,7] => 315 [1,2,6,3,4,7,5] => 924 [1,2,6,3,5,4,7] => 70 [1,2,6,3,5,7,4] => 315 [1,2,6,3,7,4,5] => 924 [1,2,6,3,7,5,4] => 924 [1,2,6,4,3,5,7] => 70 [1,2,6,4,3,7,5] => 315 [1,2,6,4,5,3,7] => 21 [1,2,6,4,5,7,3] => 70 [1,2,6,4,7,3,5] => 315 [1,2,6,4,7,5,3] => 315 [1,2,6,5,3,4,7] => 315 [1,2,6,5,3,7,4] => 924 [1,2,6,5,4,3,7] => 315 [1,2,6,5,4,7,3] => 924 [1,2,6,5,7,3,4] => 924 [1,2,6,5,7,4,3] => 924 [1,2,6,7,3,4,5] => 924 [1,2,6,7,3,5,4] => 924 [1,2,6,7,4,3,5] => 924 [1,2,6,7,4,5,3] => 924 [1,2,6,7,5,3,4] => 315 [1,2,6,7,5,4,3] => 315 [1,2,7,3,4,5,6] => 924 [1,2,7,3,4,6,5] => 315 [1,2,7,3,5,4,6] => 315 [1,2,7,3,5,6,4] => 70 [1,2,7,3,6,4,5] => 924 [1,2,7,3,6,5,4] => 924 [1,2,7,4,3,5,6] => 315 [1,2,7,4,3,6,5] => 70 [1,2,7,4,5,3,6] => 70 [1,2,7,4,5,6,3] => 21 [1,2,7,4,6,3,5] => 315 [1,2,7,4,6,5,3] => 315 [1,2,7,5,3,4,6] => 924 [1,2,7,5,3,6,4] => 315 [1,2,7,5,4,3,6] => 924 [1,2,7,5,4,6,3] => 315 [1,2,7,5,6,3,4] => 924 [1,2,7,5,6,4,3] => 924 [1,2,7,6,3,4,5] => 924 [1,2,7,6,3,5,4] => 924 [1,2,7,6,4,3,5] => 924 [1,2,7,6,4,5,3] => 924 [1,2,7,6,5,3,4] => 315 [1,2,7,6,5,4,3] => 315 [1,3,2,4,5,6,7] => 21 [1,3,2,4,5,7,6] => 315 [1,3,2,4,6,5,7] => 315 [1,3,2,4,6,7,5] => 924 [1,3,2,4,7,5,6] => 924 [1,3,2,4,7,6,5] => 315 [1,3,2,5,4,6,7] => 315 [1,3,2,5,4,7,6] => 1855 [1,3,2,5,6,4,7] => 924 [1,3,2,5,6,7,4] => 1855 [1,3,2,5,7,4,6] => 1855 [1,3,2,5,7,6,4] => 924 [1,3,2,6,4,5,7] => 924 [1,3,2,6,4,7,5] => 1855 [1,3,2,6,5,4,7] => 315 [1,3,2,6,5,7,4] => 924 [1,3,2,6,7,4,5] => 1855 [1,3,2,6,7,5,4] => 1855 [1,3,2,7,4,5,6] => 1855 [1,3,2,7,4,6,5] => 924 [1,3,2,7,5,4,6] => 924 [1,3,2,7,5,6,4] => 315 [1,3,2,7,6,4,5] => 1855 [1,3,2,7,6,5,4] => 1855 [1,3,4,2,5,6,7] => 70 [1,3,4,2,5,7,6] => 924 [1,3,4,2,6,5,7] => 924 [1,3,4,2,6,7,5] => 1855 [1,3,4,2,7,5,6] => 1855 [1,3,4,2,7,6,5] => 924 [1,3,4,5,2,6,7] => 315 [1,3,4,5,2,7,6] => 1855 [1,3,4,5,6,2,7] => 924 [1,3,4,5,6,7,2] => 1855 [1,3,4,5,7,2,6] => 1855 [1,3,4,5,7,6,2] => 924 [1,3,4,6,2,5,7] => 924 [1,3,4,6,2,7,5] => 1855 [1,3,4,6,5,2,7] => 315 [1,3,4,6,5,7,2] => 924 [1,3,4,6,7,2,5] => 1855 [1,3,4,6,7,5,2] => 1855 [1,3,4,7,2,5,6] => 1855 [1,3,4,7,2,6,5] => 924 [1,3,4,7,5,2,6] => 924 [1,3,4,7,5,6,2] => 315 [1,3,4,7,6,2,5] => 1855 [1,3,4,7,6,5,2] => 1855 [1,3,5,2,4,6,7] => 315 [1,3,5,2,4,7,6] => 1855 [1,3,5,2,6,4,7] => 924 [1,3,5,2,6,7,4] => 1855 [1,3,5,2,7,4,6] => 1855 [1,3,5,2,7,6,4] => 924 [1,3,5,4,2,6,7] => 70 [1,3,5,4,2,7,6] => 924 [1,3,5,4,6,2,7] => 315 [1,3,5,4,6,7,2] => 924 [1,3,5,4,7,2,6] => 924 [1,3,5,4,7,6,2] => 315 [1,3,5,6,2,4,7] => 924 [1,3,5,6,2,7,4] => 1855 [1,3,5,6,4,2,7] => 924 [1,3,5,6,4,7,2] => 1855 [1,3,5,6,7,2,4] => 1855 [1,3,5,6,7,4,2] => 1855 [1,3,5,7,2,4,6] => 1855 [1,3,5,7,2,6,4] => 924 [1,3,5,7,4,2,6] => 1855 [1,3,5,7,4,6,2] => 924 [1,3,5,7,6,2,4] => 1855 [1,3,5,7,6,4,2] => 1855 [1,3,6,2,4,5,7] => 924 [1,3,6,2,4,7,5] => 1855 [1,3,6,2,5,4,7] => 315 [1,3,6,2,5,7,4] => 924 [1,3,6,2,7,4,5] => 1855 [1,3,6,2,7,5,4] => 1855 [1,3,6,4,2,5,7] => 315 [1,3,6,4,2,7,5] => 924 [1,3,6,4,5,2,7] => 70 [1,3,6,4,5,7,2] => 315 [1,3,6,4,7,2,5] => 924 [1,3,6,4,7,5,2] => 924 [1,3,6,5,2,4,7] => 924 [1,3,6,5,2,7,4] => 1855 [1,3,6,5,4,2,7] => 924 [1,3,6,5,4,7,2] => 1855 [1,3,6,5,7,2,4] => 1855 [1,3,6,5,7,4,2] => 1855 [1,3,6,7,2,4,5] => 1855 [1,3,6,7,2,5,4] => 1855 [1,3,6,7,4,2,5] => 1855 [1,3,6,7,4,5,2] => 1855 [1,3,6,7,5,2,4] => 924 [1,3,6,7,5,4,2] => 924 [1,3,7,2,4,5,6] => 1855 [1,3,7,2,4,6,5] => 924 [1,3,7,2,5,4,6] => 924 [1,3,7,2,5,6,4] => 315 [1,3,7,2,6,4,5] => 1855 [1,3,7,2,6,5,4] => 1855 [1,3,7,4,2,5,6] => 924 [1,3,7,4,2,6,5] => 315 [1,3,7,4,5,2,6] => 315 [1,3,7,4,5,6,2] => 70 [1,3,7,4,6,2,5] => 924 [1,3,7,4,6,5,2] => 924 [1,3,7,5,2,4,6] => 1855 [1,3,7,5,2,6,4] => 924 [1,3,7,5,4,2,6] => 1855 [1,3,7,5,4,6,2] => 924 [1,3,7,5,6,2,4] => 1855 [1,3,7,5,6,4,2] => 1855 [1,3,7,6,2,4,5] => 1855 [1,3,7,6,2,5,4] => 1855 [1,3,7,6,4,2,5] => 1855 [1,3,7,6,4,5,2] => 1855 [1,3,7,6,5,2,4] => 924 [1,3,7,6,5,4,2] => 924 [1,4,2,3,5,6,7] => 70 [1,4,2,3,5,7,6] => 924 [1,4,2,3,6,5,7] => 924 [1,4,2,3,6,7,5] => 1855 [1,4,2,3,7,5,6] => 1855 [1,4,2,3,7,6,5] => 924 [1,4,2,5,3,6,7] => 315 [1,4,2,5,3,7,6] => 1855 [1,4,2,5,6,3,7] => 924 [1,4,2,5,6,7,3] => 1855 [1,4,2,5,7,3,6] => 1855 [1,4,2,5,7,6,3] => 924 [1,4,2,6,3,5,7] => 924 [1,4,2,6,3,7,5] => 1855 [1,4,2,6,5,3,7] => 315 [1,4,2,6,5,7,3] => 924 [1,4,2,6,7,3,5] => 1855 [1,4,2,6,7,5,3] => 1855 [1,4,2,7,3,5,6] => 1855 [1,4,2,7,3,6,5] => 924 [1,4,2,7,5,3,6] => 924 [1,4,2,7,5,6,3] => 315 [1,4,2,7,6,3,5] => 1855 [1,4,2,7,6,5,3] => 1855 [1,4,3,2,5,6,7] => 21 [1,4,3,2,5,7,6] => 315 [1,4,3,2,6,5,7] => 315 [1,4,3,2,6,7,5] => 924 [1,4,3,2,7,5,6] => 924 [1,4,3,2,7,6,5] => 315 [1,4,3,5,2,6,7] => 70 [1,4,3,5,2,7,6] => 924 [1,4,3,5,6,2,7] => 315 [1,4,3,5,6,7,2] => 924 [1,4,3,5,7,2,6] => 924 [1,4,3,5,7,6,2] => 315 [1,4,3,6,2,5,7] => 315 [1,4,3,6,2,7,5] => 924 [1,4,3,6,5,2,7] => 70 [1,4,3,6,5,7,2] => 315 [1,4,3,6,7,2,5] => 924 [1,4,3,6,7,5,2] => 924 [1,4,3,7,2,5,6] => 924 [1,4,3,7,2,6,5] => 315 [1,4,3,7,5,2,6] => 315 [1,4,3,7,5,6,2] => 70 [1,4,3,7,6,2,5] => 924 [1,4,3,7,6,5,2] => 924 [1,4,5,2,3,6,7] => 315 [1,4,5,2,3,7,6] => 1855 [1,4,5,2,6,3,7] => 924 [1,4,5,2,6,7,3] => 1855 [1,4,5,2,7,3,6] => 1855 [1,4,5,2,7,6,3] => 924 [1,4,5,3,2,6,7] => 315 [1,4,5,3,2,7,6] => 1855 [1,4,5,3,6,2,7] => 924 [1,4,5,3,6,7,2] => 1855 [1,4,5,3,7,2,6] => 1855 [1,4,5,3,7,6,2] => 924 [1,4,5,6,2,3,7] => 924 [1,4,5,6,2,7,3] => 1855 [1,4,5,6,3,2,7] => 924 [1,4,5,6,3,7,2] => 1855 [1,4,5,6,7,2,3] => 1855 [1,4,5,6,7,3,2] => 1855 [1,4,5,7,2,3,6] => 1855 [1,4,5,7,2,6,3] => 924 [1,4,5,7,3,2,6] => 1855 [1,4,5,7,3,6,2] => 924 [1,4,5,7,6,2,3] => 1855 [1,4,5,7,6,3,2] => 1855 [1,4,6,2,3,5,7] => 924 [1,4,6,2,3,7,5] => 1855 [1,4,6,2,5,3,7] => 315 [1,4,6,2,5,7,3] => 924 [1,4,6,2,7,3,5] => 1855 [1,4,6,2,7,5,3] => 1855 [1,4,6,3,2,5,7] => 924 [1,4,6,3,2,7,5] => 1855 [1,4,6,3,5,2,7] => 315 [1,4,6,3,5,7,2] => 924 [1,4,6,3,7,2,5] => 1855 [1,4,6,3,7,5,2] => 1855 [1,4,6,5,2,3,7] => 924 [1,4,6,5,2,7,3] => 1855 [1,4,6,5,3,2,7] => 924 ----------------------------------------------------------------------------- Created: Apr 09, 2020 at 18:37 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Apr 09, 2020 at 18:37 by Martin Rubey