***************************************************************************** * 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: St000279 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The size of the preimage of the map 'cycle-as-one-line notation' from Permutations to Permutations. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def cycle_to_one_line(pi): return Permutation(sum([list(t) for t in pi.cycle_tuples()],[])) @cached_function def preimages(level): result = dict() for el in Permutations(level): image = cycle_to_one_line(el) result[image] = result.get(image, 0) + 1 return result def statistic(x): return preimages(x.size()).get(x, 0) ----------------------------------------------------------------------------- Statistic values: [1,2] => 2 [2,1] => 0 [1,2,3] => 4 [1,3,2] => 2 [2,1,3] => 0 [2,3,1] => 0 [3,1,2] => 0 [3,2,1] => 0 [1,2,3,4] => 8 [1,2,4,3] => 4 [1,3,2,4] => 4 [1,3,4,2] => 2 [1,4,2,3] => 4 [1,4,3,2] => 2 [2,1,3,4] => 0 [2,1,4,3] => 0 [2,3,1,4] => 0 [2,3,4,1] => 0 [2,4,1,3] => 0 [2,4,3,1] => 0 [3,1,2,4] => 0 [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] => 16 [1,2,3,5,4] => 8 [1,2,4,3,5] => 8 [1,2,4,5,3] => 4 [1,2,5,3,4] => 8 [1,2,5,4,3] => 4 [1,3,2,4,5] => 8 [1,3,2,5,4] => 4 [1,3,4,2,5] => 4 [1,3,4,5,2] => 2 [1,3,5,2,4] => 4 [1,3,5,4,2] => 2 [1,4,2,3,5] => 8 [1,4,2,5,3] => 4 [1,4,3,2,5] => 4 [1,4,3,5,2] => 2 [1,4,5,2,3] => 4 [1,4,5,3,2] => 2 [1,5,2,3,4] => 8 [1,5,2,4,3] => 4 [1,5,3,2,4] => 4 [1,5,3,4,2] => 2 [1,5,4,2,3] => 4 [1,5,4,3,2] => 2 [2,1,3,4,5] => 0 [2,1,3,5,4] => 0 [2,1,4,3,5] => 0 [2,1,4,5,3] => 0 [2,1,5,3,4] => 0 [2,1,5,4,3] => 0 [2,3,1,4,5] => 0 [2,3,1,5,4] => 0 [2,3,4,1,5] => 0 [2,3,4,5,1] => 0 [2,3,5,1,4] => 0 [2,3,5,4,1] => 0 [2,4,1,3,5] => 0 [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] => 0 [3,1,2,5,4] => 0 [3,1,4,2,5] => 0 [3,1,4,5,2] => 0 [3,1,5,2,4] => 0 [3,1,5,4,2] => 0 [3,2,1,4,5] => 0 [3,2,1,5,4] => 0 [3,2,4,1,5] => 0 [3,2,4,5,1] => 0 [3,2,5,1,4] => 0 [3,2,5,4,1] => 0 [3,4,1,2,5] => 0 [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] => 0 [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] => 0 [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] => 32 [1,2,3,4,6,5] => 16 [1,2,3,5,4,6] => 16 [1,2,3,5,6,4] => 8 [1,2,3,6,4,5] => 16 [1,2,3,6,5,4] => 8 [1,2,4,3,5,6] => 16 [1,2,4,3,6,5] => 8 [1,2,4,5,3,6] => 8 [1,2,4,5,6,3] => 4 [1,2,4,6,3,5] => 8 [1,2,4,6,5,3] => 4 [1,2,5,3,4,6] => 16 [1,2,5,3,6,4] => 8 [1,2,5,4,3,6] => 8 [1,2,5,4,6,3] => 4 [1,2,5,6,3,4] => 8 [1,2,5,6,4,3] => 4 [1,2,6,3,4,5] => 16 [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] => 16 [1,3,2,4,6,5] => 8 [1,3,2,5,4,6] => 8 [1,3,2,5,6,4] => 4 [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] => 4 [1,3,4,5,2,6] => 4 [1,3,4,5,6,2] => 2 [1,3,4,6,2,5] => 4 [1,3,4,6,5,2] => 2 [1,3,5,2,4,6] => 8 [1,3,5,2,6,4] => 4 [1,3,5,4,2,6] => 4 [1,3,5,4,6,2] => 2 [1,3,5,6,2,4] => 4 [1,3,5,6,4,2] => 2 [1,3,6,2,4,5] => 8 [1,3,6,2,5,4] => 4 [1,3,6,4,2,5] => 4 [1,3,6,4,5,2] => 2 [1,3,6,5,2,4] => 4 [1,3,6,5,4,2] => 2 [1,4,2,3,5,6] => 16 [1,4,2,3,6,5] => 8 [1,4,2,5,3,6] => 8 [1,4,2,5,6,3] => 4 [1,4,2,6,3,5] => 8 [1,4,2,6,5,3] => 4 [1,4,3,2,5,6] => 8 [1,4,3,2,6,5] => 4 [1,4,3,5,2,6] => 4 [1,4,3,5,6,2] => 2 [1,4,3,6,2,5] => 4 [1,4,3,6,5,2] => 2 [1,4,5,2,3,6] => 8 [1,4,5,2,6,3] => 4 [1,4,5,3,2,6] => 4 [1,4,5,3,6,2] => 2 [1,4,5,6,2,3] => 4 [1,4,5,6,3,2] => 2 [1,4,6,2,3,5] => 8 [1,4,6,2,5,3] => 4 [1,4,6,3,2,5] => 4 [1,4,6,3,5,2] => 2 [1,4,6,5,2,3] => 4 [1,4,6,5,3,2] => 2 [1,5,2,3,4,6] => 16 [1,5,2,3,6,4] => 8 [1,5,2,4,3,6] => 8 [1,5,2,4,6,3] => 4 [1,5,2,6,3,4] => 8 [1,5,2,6,4,3] => 4 [1,5,3,2,4,6] => 8 [1,5,3,2,6,4] => 4 [1,5,3,4,2,6] => 4 [1,5,3,4,6,2] => 2 [1,5,3,6,2,4] => 4 [1,5,3,6,4,2] => 2 [1,5,4,2,3,6] => 8 [1,5,4,2,6,3] => 4 [1,5,4,3,2,6] => 4 [1,5,4,3,6,2] => 2 [1,5,4,6,2,3] => 4 [1,5,4,6,3,2] => 2 [1,5,6,2,3,4] => 8 [1,5,6,2,4,3] => 4 [1,5,6,3,2,4] => 4 [1,5,6,3,4,2] => 2 [1,5,6,4,2,3] => 4 [1,5,6,4,3,2] => 2 [1,6,2,3,4,5] => 16 [1,6,2,3,5,4] => 8 [1,6,2,4,3,5] => 8 [1,6,2,4,5,3] => 4 [1,6,2,5,3,4] => 8 [1,6,2,5,4,3] => 4 [1,6,3,2,4,5] => 8 [1,6,3,2,5,4] => 4 [1,6,3,4,2,5] => 4 [1,6,3,4,5,2] => 2 [1,6,3,5,2,4] => 4 [1,6,3,5,4,2] => 2 [1,6,4,2,3,5] => 8 [1,6,4,2,5,3] => 4 [1,6,4,3,2,5] => 4 [1,6,4,3,5,2] => 2 [1,6,4,5,2,3] => 4 [1,6,4,5,3,2] => 2 [1,6,5,2,3,4] => 8 [1,6,5,2,4,3] => 4 [1,6,5,3,2,4] => 4 [1,6,5,3,4,2] => 2 [1,6,5,4,2,3] => 4 [1,6,5,4,3,2] => 2 [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 [2,1,6,3,5,4] => 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] => 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 [2,3,6,1,5,4] => 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] => 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 [2,4,1,6,5,3] => 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 [2,4,3,6,1,5] => 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 [2,4,6,1,5,3] => 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] => 0 [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] => 0 [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] => 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 [3,1,2,6,5,4] => 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 [3,1,4,6,5,2] => 0 [3,1,5,2,4,6] => 0 [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] => 0 [3,2,1,4,6,5] => 0 [3,2,1,5,4,6] => 0 [3,2,1,5,6,4] => 0 [3,2,1,6,4,5] => 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 [3,2,4,6,1,5] => 0 [3,2,4,6,5,1] => 0 [3,2,5,1,4,6] => 0 [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] => 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 [3,4,1,6,5,2] => 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 [3,4,2,6,1,5] => 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 [3,4,6,1,5,2] => 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] => 0 [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] => 0 [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] => 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 [4,1,2,6,5,3] => 0 [4,1,3,2,5,6] => 0 [4,1,3,2,6,5] => 0 [4,1,3,5,2,6] => 0 [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] => 0 [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] => 0 [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] => 0 [4,2,3,1,6,5] => 0 [4,2,3,5,1,6] => 0 [4,2,3,5,6,1] => 0 [4,2,3,6,1,5] => 0 [4,2,3,6,5,1] => 0 [4,2,5,1,3,6] => 0 [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] => 0 [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] => 0 [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] => 0 [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] => 0 [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] => 0 [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] => 0 [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] => 0 [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] => 0 [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] => 0 [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] => 64 [1,2,3,4,5,7,6] => 32 [1,2,3,4,6,5,7] => 32 [1,2,3,4,6,7,5] => 16 [1,2,3,4,7,5,6] => 32 [1,2,3,4,7,6,5] => 16 [1,2,3,5,4,6,7] => 32 [1,2,3,5,4,7,6] => 16 [1,2,3,5,6,4,7] => 16 [1,2,3,5,6,7,4] => 8 [1,2,3,5,7,4,6] => 16 [1,2,3,5,7,6,4] => 8 [1,2,3,6,4,5,7] => 32 [1,2,3,6,4,7,5] => 16 [1,2,3,6,5,4,7] => 16 [1,2,3,6,5,7,4] => 8 [1,2,3,6,7,4,5] => 16 [1,2,3,6,7,5,4] => 8 [1,2,3,7,4,5,6] => 32 [1,2,3,7,4,6,5] => 16 [1,2,3,7,5,4,6] => 16 [1,2,3,7,5,6,4] => 8 [1,2,3,7,6,4,5] => 16 [1,2,3,7,6,5,4] => 8 [1,2,4,3,5,6,7] => 32 [1,2,4,3,5,7,6] => 16 [1,2,4,3,6,5,7] => 16 [1,2,4,3,6,7,5] => 8 [1,2,4,3,7,5,6] => 16 [1,2,4,3,7,6,5] => 8 [1,2,4,5,3,6,7] => 16 [1,2,4,5,3,7,6] => 8 [1,2,4,5,6,3,7] => 8 [1,2,4,5,6,7,3] => 4 [1,2,4,5,7,3,6] => 8 [1,2,4,5,7,6,3] => 4 [1,2,4,6,3,5,7] => 16 [1,2,4,6,3,7,5] => 8 [1,2,4,6,5,3,7] => 8 [1,2,4,6,5,7,3] => 4 [1,2,4,6,7,3,5] => 8 [1,2,4,6,7,5,3] => 4 [1,2,4,7,3,5,6] => 16 [1,2,4,7,3,6,5] => 8 [1,2,4,7,5,3,6] => 8 [1,2,4,7,5,6,3] => 4 [1,2,4,7,6,3,5] => 8 [1,2,4,7,6,5,3] => 4 [1,2,5,3,4,6,7] => 32 [1,2,5,3,4,7,6] => 16 [1,2,5,3,6,4,7] => 16 [1,2,5,3,6,7,4] => 8 [1,2,5,3,7,4,6] => 16 [1,2,5,3,7,6,4] => 8 [1,2,5,4,3,6,7] => 16 [1,2,5,4,3,7,6] => 8 [1,2,5,4,6,3,7] => 8 [1,2,5,4,6,7,3] => 4 [1,2,5,4,7,3,6] => 8 [1,2,5,4,7,6,3] => 4 [1,2,5,6,3,4,7] => 16 [1,2,5,6,3,7,4] => 8 [1,2,5,6,4,3,7] => 8 [1,2,5,6,4,7,3] => 4 [1,2,5,6,7,3,4] => 8 [1,2,5,6,7,4,3] => 4 [1,2,5,7,3,4,6] => 16 [1,2,5,7,3,6,4] => 8 [1,2,5,7,4,3,6] => 8 [1,2,5,7,4,6,3] => 4 [1,2,5,7,6,3,4] => 8 [1,2,5,7,6,4,3] => 4 [1,2,6,3,4,5,7] => 32 [1,2,6,3,4,7,5] => 16 [1,2,6,3,5,4,7] => 16 [1,2,6,3,5,7,4] => 8 [1,2,6,3,7,4,5] => 16 [1,2,6,3,7,5,4] => 8 [1,2,6,4,3,5,7] => 16 [1,2,6,4,3,7,5] => 8 [1,2,6,4,5,3,7] => 8 [1,2,6,4,5,7,3] => 4 [1,2,6,4,7,3,5] => 8 [1,2,6,4,7,5,3] => 4 [1,2,6,5,3,4,7] => 16 [1,2,6,5,3,7,4] => 8 [1,2,6,5,4,3,7] => 8 [1,2,6,5,4,7,3] => 4 [1,2,6,5,7,3,4] => 8 [1,2,6,5,7,4,3] => 4 [1,2,6,7,3,4,5] => 16 [1,2,6,7,3,5,4] => 8 [1,2,6,7,4,3,5] => 8 [1,2,6,7,4,5,3] => 4 [1,2,6,7,5,3,4] => 8 [1,2,6,7,5,4,3] => 4 [1,2,7,3,4,5,6] => 32 [1,2,7,3,4,6,5] => 16 [1,2,7,3,5,4,6] => 16 [1,2,7,3,5,6,4] => 8 [1,2,7,3,6,4,5] => 16 [1,2,7,3,6,5,4] => 8 [1,2,7,4,3,5,6] => 16 [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] => 16 [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] => 4 [1,2,7,6,3,4,5] => 16 [1,2,7,6,3,5,4] => 8 [1,2,7,6,4,3,5] => 8 [1,2,7,6,4,5,3] => 4 [1,2,7,6,5,3,4] => 8 [1,2,7,6,5,4,3] => 4 [1,3,2,4,5,6,7] => 32 [1,3,2,4,5,7,6] => 16 [1,3,2,4,6,5,7] => 16 [1,3,2,4,6,7,5] => 8 [1,3,2,4,7,5,6] => 16 [1,3,2,4,7,6,5] => 8 [1,3,2,5,4,6,7] => 16 [1,3,2,5,4,7,6] => 8 [1,3,2,5,6,4,7] => 8 [1,3,2,5,6,7,4] => 4 [1,3,2,5,7,4,6] => 8 [1,3,2,5,7,6,4] => 4 [1,3,2,6,4,5,7] => 16 [1,3,2,6,4,7,5] => 8 [1,3,2,6,5,4,7] => 8 [1,3,2,6,5,7,4] => 4 [1,3,2,6,7,4,5] => 8 [1,3,2,6,7,5,4] => 4 [1,3,2,7,4,5,6] => 16 [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] => 16 [1,3,4,2,5,7,6] => 8 [1,3,4,2,6,5,7] => 8 [1,3,4,2,6,7,5] => 4 [1,3,4,2,7,5,6] => 8 [1,3,4,2,7,6,5] => 4 [1,3,4,5,2,6,7] => 8 [1,3,4,5,2,7,6] => 4 [1,3,4,5,6,2,7] => 4 [1,3,4,5,6,7,2] => 2 [1,3,4,5,7,2,6] => 4 [1,3,4,5,7,6,2] => 2 [1,3,4,6,2,5,7] => 8 [1,3,4,6,2,7,5] => 4 [1,3,4,6,5,2,7] => 4 [1,3,4,6,5,7,2] => 2 [1,3,4,6,7,2,5] => 4 [1,3,4,6,7,5,2] => 2 [1,3,4,7,2,5,6] => 8 [1,3,4,7,2,6,5] => 4 [1,3,4,7,5,2,6] => 4 [1,3,4,7,5,6,2] => 2 [1,3,4,7,6,2,5] => 4 [1,3,4,7,6,5,2] => 2 [1,3,5,2,4,6,7] => 16 [1,3,5,2,4,7,6] => 8 [1,3,5,2,6,4,7] => 8 [1,3,5,2,6,7,4] => 4 [1,3,5,2,7,4,6] => 8 [1,3,5,2,7,6,4] => 4 [1,3,5,4,2,6,7] => 8 [1,3,5,4,2,7,6] => 4 [1,3,5,4,6,2,7] => 4 [1,3,5,4,6,7,2] => 2 [1,3,5,4,7,2,6] => 4 [1,3,5,4,7,6,2] => 2 [1,3,5,6,2,4,7] => 8 [1,3,5,6,2,7,4] => 4 [1,3,5,6,4,2,7] => 4 [1,3,5,6,4,7,2] => 2 [1,3,5,6,7,2,4] => 4 [1,3,5,6,7,4,2] => 2 [1,3,5,7,2,4,6] => 8 [1,3,5,7,2,6,4] => 4 [1,3,5,7,4,2,6] => 4 [1,3,5,7,4,6,2] => 2 [1,3,5,7,6,2,4] => 4 [1,3,5,7,6,4,2] => 2 [1,3,6,2,4,5,7] => 16 [1,3,6,2,4,7,5] => 8 [1,3,6,2,5,4,7] => 8 [1,3,6,2,5,7,4] => 4 [1,3,6,2,7,4,5] => 8 [1,3,6,2,7,5,4] => 4 [1,3,6,4,2,5,7] => 8 [1,3,6,4,2,7,5] => 4 [1,3,6,4,5,2,7] => 4 [1,3,6,4,5,7,2] => 2 [1,3,6,4,7,2,5] => 4 [1,3,6,4,7,5,2] => 2 [1,3,6,5,2,4,7] => 8 [1,3,6,5,2,7,4] => 4 [1,3,6,5,4,2,7] => 4 [1,3,6,5,4,7,2] => 2 [1,3,6,5,7,2,4] => 4 [1,3,6,5,7,4,2] => 2 [1,3,6,7,2,4,5] => 8 [1,3,6,7,2,5,4] => 4 [1,3,6,7,4,2,5] => 4 [1,3,6,7,4,5,2] => 2 [1,3,6,7,5,2,4] => 4 [1,3,6,7,5,4,2] => 2 [1,3,7,2,4,5,6] => 16 [1,3,7,2,4,6,5] => 8 [1,3,7,2,5,4,6] => 8 [1,3,7,2,5,6,4] => 4 [1,3,7,2,6,4,5] => 8 [1,3,7,2,6,5,4] => 4 [1,3,7,4,2,5,6] => 8 [1,3,7,4,2,6,5] => 4 [1,3,7,4,5,2,6] => 4 [1,3,7,4,5,6,2] => 2 [1,3,7,4,6,2,5] => 4 [1,3,7,4,6,5,2] => 2 [1,3,7,5,2,4,6] => 8 [1,3,7,5,2,6,4] => 4 [1,3,7,5,4,2,6] => 4 [1,3,7,5,4,6,2] => 2 [1,3,7,5,6,2,4] => 4 [1,3,7,5,6,4,2] => 2 [1,3,7,6,2,4,5] => 8 [1,3,7,6,2,5,4] => 4 [1,3,7,6,4,2,5] => 4 [1,3,7,6,4,5,2] => 2 [1,3,7,6,5,2,4] => 4 [1,3,7,6,5,4,2] => 2 [1,4,2,3,5,6,7] => 32 [1,4,2,3,5,7,6] => 16 [1,4,2,3,6,5,7] => 16 [1,4,2,3,6,7,5] => 8 [1,4,2,3,7,5,6] => 16 [1,4,2,3,7,6,5] => 8 [1,4,2,5,3,6,7] => 16 [1,4,2,5,3,7,6] => 8 [1,4,2,5,6,3,7] => 8 [1,4,2,5,6,7,3] => 4 [1,4,2,5,7,3,6] => 8 [1,4,2,5,7,6,3] => 4 [1,4,2,6,3,5,7] => 16 [1,4,2,6,3,7,5] => 8 [1,4,2,6,5,3,7] => 8 [1,4,2,6,5,7,3] => 4 [1,4,2,6,7,3,5] => 8 [1,4,2,6,7,5,3] => 4 [1,4,2,7,3,5,6] => 16 [1,4,2,7,3,6,5] => 8 [1,4,2,7,5,3,6] => 8 [1,4,2,7,5,6,3] => 4 [1,4,2,7,6,3,5] => 8 [1,4,2,7,6,5,3] => 4 [1,4,3,2,5,6,7] => 16 [1,4,3,2,5,7,6] => 8 [1,4,3,2,6,5,7] => 8 [1,4,3,2,6,7,5] => 4 [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] => 4 [1,4,3,5,6,2,7] => 4 [1,4,3,5,6,7,2] => 2 [1,4,3,5,7,2,6] => 4 [1,4,3,5,7,6,2] => 2 [1,4,3,6,2,5,7] => 8 [1,4,3,6,2,7,5] => 4 [1,4,3,6,5,2,7] => 4 [1,4,3,6,5,7,2] => 2 [1,4,3,6,7,2,5] => 4 [1,4,3,6,7,5,2] => 2 [1,4,3,7,2,5,6] => 8 [1,4,3,7,2,6,5] => 4 [1,4,3,7,5,2,6] => 4 [1,4,3,7,5,6,2] => 2 [1,4,3,7,6,2,5] => 4 [1,4,3,7,6,5,2] => 2 [1,4,5,2,3,6,7] => 16 [1,4,5,2,3,7,6] => 8 [1,4,5,2,6,3,7] => 8 [1,4,5,2,6,7,3] => 4 [1,4,5,2,7,3,6] => 8 [1,4,5,2,7,6,3] => 4 [1,4,5,3,2,6,7] => 8 [1,4,5,3,2,7,6] => 4 [1,4,5,3,6,2,7] => 4 [1,4,5,3,6,7,2] => 2 [1,4,5,3,7,2,6] => 4 [1,4,5,3,7,6,2] => 2 [1,4,5,6,2,3,7] => 8 [1,4,5,6,2,7,3] => 4 [1,4,5,6,3,2,7] => 4 [1,4,5,6,3,7,2] => 2 [1,4,5,6,7,2,3] => 4 [1,4,5,6,7,3,2] => 2 [1,4,5,7,2,3,6] => 8 [1,4,5,7,2,6,3] => 4 [1,4,5,7,3,2,6] => 4 [1,4,5,7,3,6,2] => 2 [1,4,5,7,6,2,3] => 4 [1,4,5,7,6,3,2] => 2 [1,4,6,2,3,5,7] => 16 [1,4,6,2,3,7,5] => 8 [1,4,6,2,5,3,7] => 8 [1,4,6,2,5,7,3] => 4 [1,4,6,2,7,3,5] => 8 [1,4,6,2,7,5,3] => 4 [1,4,6,3,2,5,7] => 8 [1,4,6,3,2,7,5] => 4 [1,4,6,3,5,2,7] => 4 [1,4,6,3,5,7,2] => 2 [1,4,6,3,7,2,5] => 4 [1,4,6,3,7,5,2] => 2 [1,4,6,5,2,3,7] => 8 [1,4,6,5,2,7,3] => 4 [1,4,6,5,3,2,7] => 4 [1,4,6,5,3,7,2] => 2 ----------------------------------------------------------------------------- Created: Sep 11, 2015 at 22:54 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Jan 07, 2021 at 15:42 by Martin Rubey