***************************************************************************** * 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: St000520 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The number of patterns in a permutation. In other words, this is the number of subsequences which are not order-isomorphic. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(pi): res = [] for w in Subwords(pi): dom = sorted(w) res += [Permutation([dom.index(e)+1 for e in w])] return len(set(res)) #alternative faster code @cached_function def reduce_word(w): dom = { j:i for i,j in enumerate(sorted(w)) } return tuple(dom[j] for j in w) def statistic_alternative(pi): res = set() for w in Subwords(pi): res.add(reduce_word(tuple(w))) return len(res) ----------------------------------------------------------------------------- Statistic values: [1,2] => 3 [2,1] => 3 [1,2,3] => 4 [1,3,2] => 5 [2,1,3] => 5 [2,3,1] => 5 [3,1,2] => 5 [3,2,1] => 4 [1,2,3,4] => 5 [1,2,4,3] => 7 [1,3,2,4] => 8 [1,3,4,2] => 8 [1,4,2,3] => 8 [1,4,3,2] => 7 [2,1,3,4] => 7 [2,1,4,3] => 7 [2,3,1,4] => 8 [2,3,4,1] => 7 [2,4,1,3] => 9 [2,4,3,1] => 8 [3,1,2,4] => 8 [3,1,4,2] => 9 [3,2,1,4] => 7 [3,2,4,1] => 8 [3,4,1,2] => 7 [3,4,2,1] => 7 [4,1,2,3] => 7 [4,1,3,2] => 8 [4,2,1,3] => 8 [4,2,3,1] => 8 [4,3,1,2] => 7 [4,3,2,1] => 5 [1,2,3,4,5] => 6 [1,2,3,5,4] => 9 [1,2,4,3,5] => 11 [1,2,4,5,3] => 11 [1,2,5,3,4] => 11 [1,2,5,4,3] => 10 [1,3,2,4,5] => 11 [1,3,2,5,4] => 11 [1,3,4,2,5] => 13 [1,3,4,5,2] => 11 [1,3,5,2,4] => 15 [1,3,5,4,2] => 13 [1,4,2,3,5] => 13 [1,4,2,5,3] => 15 [1,4,3,2,5] => 12 [1,4,3,5,2] => 14 [1,4,5,2,3] => 12 [1,4,5,3,2] => 12 [1,5,2,3,4] => 11 [1,5,2,4,3] => 13 [1,5,3,2,4] => 14 [1,5,3,4,2] => 14 [1,5,4,2,3] => 12 [1,5,4,3,2] => 9 [2,1,3,4,5] => 9 [2,1,3,5,4] => 11 [2,1,4,3,5] => 11 [2,1,4,5,3] => 12 [2,1,5,3,4] => 12 [2,1,5,4,3] => 10 [2,3,1,4,5] => 11 [2,3,1,5,4] => 12 [2,3,4,1,5] => 11 [2,3,4,5,1] => 9 [2,3,5,1,4] => 14 [2,3,5,4,1] => 12 [2,4,1,3,5] => 15 [2,4,1,5,3] => 15 [2,4,3,1,5] => 14 [2,4,3,5,1] => 14 [2,4,5,1,3] => 14 [2,4,5,3,1] => 13 [2,5,1,3,4] => 14 [2,5,1,4,3] => 14 [2,5,3,1,4] => 16 [2,5,3,4,1] => 14 [2,5,4,1,3] => 14 [2,5,4,3,1] => 11 [3,1,2,4,5] => 11 [3,1,2,5,4] => 12 [3,1,4,2,5] => 15 [3,1,4,5,2] => 14 [3,1,5,2,4] => 15 [3,1,5,4,2] => 14 [3,2,1,4,5] => 10 [3,2,1,5,4] => 10 [3,2,4,1,5] => 13 [3,2,4,5,1] => 12 [3,2,5,1,4] => 14 [3,2,5,4,1] => 12 [3,4,1,2,5] => 12 [3,4,1,5,2] => 14 [3,4,2,1,5] => 12 [3,4,2,5,1] => 13 [3,4,5,1,2] => 10 [3,4,5,2,1] => 10 [3,5,1,2,4] => 14 [3,5,1,4,2] => 15 [3,5,2,1,4] => 14 [3,5,2,4,1] => 15 [3,5,4,1,2] => 12 [3,5,4,2,1] => 11 [4,1,2,3,5] => 11 [4,1,2,5,3] => 14 [4,1,3,2,5] => 14 [4,1,3,5,2] => 16 [4,1,5,2,3] => 14 [4,1,5,3,2] => 14 [4,2,1,3,5] => 13 [4,2,1,5,3] => 14 [4,2,3,1,5] => 14 [4,2,3,5,1] => 14 [4,2,5,1,3] => 15 [4,2,5,3,1] => 15 [4,3,1,2,5] => 12 [4,3,1,5,2] => 14 [4,3,2,1,5] => 9 [4,3,2,5,1] => 11 [4,3,5,1,2] => 12 [4,3,5,2,1] => 11 [4,5,1,2,3] => 10 [4,5,1,3,2] => 12 [4,5,2,1,3] => 12 [4,5,2,3,1] => 11 [4,5,3,1,2] => 11 [4,5,3,2,1] => 9 [5,1,2,3,4] => 9 [5,1,2,4,3] => 12 [5,1,3,2,4] => 14 [5,1,3,4,2] => 14 [5,1,4,2,3] => 13 [5,1,4,3,2] => 11 [5,2,1,3,4] => 12 [5,2,1,4,3] => 12 [5,2,3,1,4] => 14 [5,2,3,4,1] => 12 [5,2,4,1,3] => 15 [5,2,4,3,1] => 13 [5,3,1,2,4] => 13 [5,3,1,4,2] => 15 [5,3,2,1,4] => 11 [5,3,2,4,1] => 13 [5,3,4,1,2] => 11 [5,3,4,2,1] => 11 [5,4,1,2,3] => 10 [5,4,1,3,2] => 11 [5,4,2,1,3] => 11 [5,4,2,3,1] => 11 [5,4,3,1,2] => 9 [5,4,3,2,1] => 6 [1,2,3,4,5,6] => 7 [1,2,3,4,6,5] => 11 [1,2,3,5,4,6] => 14 [1,2,3,5,6,4] => 14 [1,2,3,6,4,5] => 14 [1,2,3,6,5,4] => 13 [1,2,4,3,5,6] => 15 [1,2,4,3,6,5] => 15 [1,2,4,5,3,6] => 18 [1,2,4,5,6,3] => 15 [1,2,4,6,3,5] => 21 [1,2,4,6,5,3] => 18 [1,2,5,3,4,6] => 18 [1,2,5,3,6,4] => 21 [1,2,5,4,3,6] => 17 [1,2,5,4,6,3] => 20 [1,2,5,6,3,4] => 17 [1,2,5,6,4,3] => 17 [1,2,6,3,4,5] => 15 [1,2,6,3,5,4] => 18 [1,2,6,4,3,5] => 20 [1,2,6,4,5,3] => 20 [1,2,6,5,3,4] => 17 [1,2,6,5,4,3] => 13 [1,3,2,4,5,6] => 14 [1,3,2,4,6,5] => 17 [1,3,2,5,4,6] => 17 [1,3,2,5,6,4] => 19 [1,3,2,6,4,5] => 19 [1,3,2,6,5,4] => 16 [1,3,4,2,5,6] => 18 [1,3,4,2,6,5] => 19 [1,3,4,5,2,6] => 18 [1,3,4,5,6,2] => 14 [1,3,4,6,2,5] => 23 [1,3,4,6,5,2] => 19 [1,3,5,2,4,6] => 25 [1,3,5,2,6,4] => 25 [1,3,5,4,2,6] => 23 [1,3,5,4,6,2] => 23 [1,3,5,6,2,4] => 23 [1,3,5,6,4,2] => 21 [1,3,6,2,4,5] => 23 [1,3,6,2,5,4] => 24 [1,3,6,4,2,5] => 27 [1,3,6,4,5,2] => 23 [1,3,6,5,2,4] => 24 [1,3,6,5,4,2] => 18 [1,4,2,3,5,6] => 18 [1,4,2,3,6,5] => 19 [1,4,2,5,3,6] => 25 [1,4,2,5,6,3] => 23 [1,4,2,6,3,5] => 25 [1,4,2,6,5,3] => 24 [1,4,3,2,5,6] => 17 [1,4,3,2,6,5] => 17 [1,4,3,5,2,6] => 23 [1,4,3,5,6,2] => 21 [1,4,3,6,2,5] => 25 [1,4,3,6,5,2] => 21 [1,4,5,2,3,6] => 21 [1,4,5,2,6,3] => 24 [1,4,5,3,2,6] => 21 [1,4,5,3,6,2] => 23 [1,4,5,6,2,3] => 17 [1,4,5,6,3,2] => 17 [1,4,6,2,3,5] => 24 [1,4,6,2,5,3] => 27 [1,4,6,3,2,5] => 25 [1,4,6,3,5,2] => 27 [1,4,6,5,2,3] => 21 [1,4,6,5,3,2] => 19 [1,5,2,3,4,6] => 18 [1,5,2,3,6,4] => 23 [1,5,2,4,3,6] => 23 [1,5,2,4,6,3] => 27 [1,5,2,6,3,4] => 23 [1,5,2,6,4,3] => 24 [1,5,3,2,4,6] => 23 [1,5,3,2,6,4] => 25 [1,5,3,4,2,6] => 25 [1,5,3,4,6,2] => 25 [1,5,3,6,2,4] => 27 [1,5,3,6,4,2] => 27 [1,5,4,2,3,6] => 21 [1,5,4,2,6,3] => 25 [1,5,4,3,2,6] => 16 [1,5,4,3,6,2] => 20 [1,5,4,6,2,3] => 22 [1,5,4,6,3,2] => 20 [1,5,6,2,3,4] => 17 [1,5,6,2,4,3] => 21 [1,5,6,3,2,4] => 22 [1,5,6,3,4,2] => 20 [1,5,6,4,2,3] => 20 [1,5,6,4,3,2] => 16 [1,6,2,3,4,5] => 14 [1,6,2,3,5,4] => 19 [1,6,2,4,3,5] => 23 [1,6,2,4,5,3] => 23 [1,6,2,5,3,4] => 21 [1,6,2,5,4,3] => 18 [1,6,3,2,4,5] => 21 [1,6,3,2,5,4] => 21 [1,6,3,4,2,5] => 25 [1,6,3,4,5,2] => 21 [1,6,3,5,2,4] => 27 [1,6,3,5,4,2] => 23 [1,6,4,2,3,5] => 23 [1,6,4,2,5,3] => 27 [1,6,4,3,2,5] => 20 [1,6,4,3,5,2] => 24 [1,6,4,5,2,3] => 20 [1,6,4,5,3,2] => 20 [1,6,5,2,3,4] => 17 [1,6,5,2,4,3] => 19 [1,6,5,3,2,4] => 20 [1,6,5,3,4,2] => 20 [1,6,5,4,2,3] => 16 [1,6,5,4,3,2] => 11 [2,1,3,4,5,6] => 11 [2,1,3,4,6,5] => 15 [2,1,3,5,4,6] => 17 [2,1,3,5,6,4] => 18 [2,1,3,6,4,5] => 18 [2,1,3,6,5,4] => 16 [2,1,4,3,5,6] => 15 [2,1,4,3,6,5] => 15 [2,1,4,5,3,6] => 19 [2,1,4,5,6,3] => 17 [2,1,4,6,3,5] => 22 [2,1,4,6,5,3] => 20 [2,1,5,3,4,6] => 19 [2,1,5,3,6,4] => 22 [2,1,5,4,3,6] => 17 [2,1,5,4,6,3] => 20 [2,1,5,6,3,4] => 18 [2,1,5,6,4,3] => 18 [2,1,6,3,4,5] => 17 [2,1,6,3,5,4] => 20 [2,1,6,4,3,5] => 20 [2,1,6,4,5,3] => 21 [2,1,6,5,3,4] => 18 [2,1,6,5,4,3] => 13 [2,3,1,4,5,6] => 14 [2,3,1,4,6,5] => 18 [2,3,1,5,4,6] => 19 [2,3,1,5,6,4] => 19 [2,3,1,6,4,5] => 20 [2,3,1,6,5,4] => 17 [2,3,4,1,5,6] => 15 [2,3,4,1,6,5] => 17 [2,3,4,5,1,6] => 14 [2,3,4,5,6,1] => 11 [2,3,4,6,1,5] => 19 [2,3,4,6,5,1] => 16 [2,3,5,1,4,6] => 23 [2,3,5,1,6,4] => 23 [2,3,5,4,1,6] => 21 [2,3,5,4,6,1] => 20 [2,3,5,6,1,4] => 21 [2,3,5,6,4,1] => 19 [2,3,6,1,4,5] => 22 [2,3,6,1,5,4] => 22 [2,3,6,4,1,5] => 24 [2,3,6,4,5,1] => 20 [2,3,6,5,1,4] => 22 [2,3,6,5,4,1] => 17 [2,4,1,3,5,6] => 21 [2,4,1,3,6,5] => 22 [2,4,1,5,3,6] => 25 [2,4,1,5,6,3] => 23 [2,4,1,6,3,5] => 26 [2,4,1,6,5,3] => 24 [2,4,3,1,5,6] => 20 [2,4,3,1,6,5] => 20 [2,4,3,5,1,6] => 23 [2,4,3,5,6,1] => 20 [2,4,3,6,1,5] => 25 [2,4,3,6,5,1] => 20 [2,4,5,1,3,6] => 24 [2,4,5,1,6,3] => 23 [2,4,5,3,1,6] => 23 [2,4,5,3,6,1] => 23 [2,4,5,6,1,3] => 19 [2,4,5,6,3,1] => 18 [2,4,6,1,3,5] => 27 [2,4,6,1,5,3] => 28 [2,4,6,3,1,5] => 28 [2,4,6,3,5,1] => 27 [2,4,6,5,1,3] => 24 [2,4,6,5,3,1] => 21 [2,5,1,3,4,6] => 23 [2,5,1,3,6,4] => 27 [2,5,1,4,3,6] => 25 [2,5,1,4,6,3] => 28 [2,5,1,6,3,4] => 24 [2,5,1,6,4,3] => 24 [2,5,3,1,4,6] => 27 [2,5,3,1,6,4] => 28 [2,5,3,4,1,6] => 25 [2,5,3,4,6,1] => 24 [2,5,3,6,1,4] => 29 [2,5,3,6,4,1] => 27 [2,5,4,1,3,6] => 25 [2,5,4,1,6,3] => 27 [2,5,4,3,1,6] => 20 [2,5,4,3,6,1] => 21 [2,5,4,6,1,3] => 25 [2,5,4,6,3,1] => 23 [2,5,6,1,3,4] => 21 [2,5,6,1,4,3] => 23 [2,5,6,3,1,4] => 25 [2,5,6,3,4,1] => 21 [2,5,6,4,1,3] => 24 [2,5,6,4,3,1] => 19 [2,6,1,3,4,5] => 19 [2,6,1,3,5,4] => 24 [2,6,1,4,3,5] => 25 [2,6,1,4,5,3] => 25 [2,6,1,5,3,4] => 24 [2,6,1,5,4,3] => 19 [2,6,3,1,4,5] => 24 [2,6,3,1,5,4] => 25 [2,6,3,4,1,5] => 25 [2,6,3,4,5,1] => 20 [2,6,3,5,1,4] => 28 [2,6,3,5,4,1] => 23 [2,6,4,1,3,5] => 28 [2,6,4,1,5,3] => 29 [2,6,4,3,1,5] => 25 [2,6,4,3,5,1] => 25 [2,6,4,5,1,3] => 25 [2,6,4,5,3,1] => 23 [2,6,5,1,3,4] => 22 [2,6,5,1,4,3] => 21 [2,6,5,3,1,4] => 24 [2,6,5,3,4,1] => 21 [2,6,5,4,1,3] => 19 [2,6,5,4,3,1] => 14 [3,1,2,4,5,6] => 14 [3,1,2,4,6,5] => 18 [3,1,2,5,4,6] => 19 [3,1,2,5,6,4] => 20 [3,1,2,6,4,5] => 19 [3,1,2,6,5,4] => 17 [3,1,4,2,5,6] => 21 [3,1,4,2,6,5] => 22 [3,1,4,5,2,6] => 23 [3,1,4,5,6,2] => 19 [3,1,4,6,2,5] => 27 [3,1,4,6,5,2] => 24 [3,1,5,2,4,6] => 25 [3,1,5,2,6,4] => 26 [3,1,5,4,2,6] => 25 [3,1,5,4,6,2] => 25 [3,1,5,6,2,4] => 24 [3,1,5,6,4,2] => 24 [3,1,6,2,4,5] => 23 [3,1,6,2,5,4] => 24 [3,1,6,4,2,5] => 28 [3,1,6,4,5,2] => 25 [3,1,6,5,2,4] => 24 [3,1,6,5,4,2] => 19 [3,2,1,4,5,6] => 13 [3,2,1,4,6,5] => 16 [3,2,1,5,4,6] => 16 [3,2,1,5,6,4] => 17 [3,2,1,6,4,5] => 17 [3,2,1,6,5,4] => 13 [3,2,4,1,5,6] => 18 [3,2,4,1,6,5] => 20 [3,2,4,5,1,6] => 19 [3,2,4,5,6,1] => 16 [3,2,4,6,1,5] => 24 [3,2,4,6,5,1] => 20 [3,2,5,1,4,6] => 24 [3,2,5,1,6,4] => 24 [3,2,5,4,1,6] => 21 [3,2,5,4,6,1] => 20 [3,2,5,6,1,4] => 23 [3,2,5,6,4,1] => 21 [3,2,6,1,4,5] => 22 [3,2,6,1,5,4] => 20 [3,2,6,4,1,5] => 25 [3,2,6,4,5,1] => 22 [3,2,6,5,1,4] => 21 [3,2,6,5,4,1] => 17 [3,4,1,2,5,6] => 17 [3,4,1,2,6,5] => 18 [3,4,1,5,2,6] => 23 [3,4,1,5,6,2] => 21 [3,4,1,6,2,5] => 24 [3,4,1,6,5,2] => 23 [3,4,2,1,5,6] => 17 [3,4,2,1,6,5] => 18 [3,4,2,5,1,6] => 21 [3,4,2,5,6,1] => 19 [3,4,2,6,1,5] => 24 [3,4,2,6,5,1] => 21 [3,4,5,1,2,6] => 17 [3,4,5,1,6,2] => 19 [3,4,5,2,1,6] => 17 [3,4,5,2,6,1] => 18 [3,4,5,6,1,2] => 13 [3,4,5,6,2,1] => 13 [3,4,6,1,2,5] => 21 [3,4,6,1,5,2] => 24 [3,4,6,2,1,5] => 22 [3,4,6,2,5,1] => 24 [3,4,6,5,1,2] => 18 [3,4,6,5,2,1] => 17 [3,5,1,2,4,6] => 23 [3,5,1,2,6,4] => 24 [3,5,1,4,2,6] => 27 [3,5,1,4,6,2] => 29 [3,5,1,6,2,4] => 26 [3,5,1,6,4,2] => 28 [3,5,2,1,4,6] => 24 [3,5,2,1,6,4] => 24 [3,5,2,4,1,6] => 27 [3,5,2,4,6,1] => 27 [3,5,2,6,1,4] => 28 [3,5,2,6,4,1] => 27 [3,5,4,1,2,6] => 22 [3,5,4,1,6,2] => 25 [3,5,4,2,1,6] => 20 [3,5,4,2,6,1] => 23 [3,5,4,6,1,2] => 21 [3,5,4,6,2,1] => 20 [3,5,6,1,2,4] => 20 [3,5,6,1,4,2] => 24 [3,5,6,2,1,4] => 22 [3,5,6,2,4,1] => 24 [3,5,6,4,1,2] => 20 [3,5,6,4,2,1] => 18 [3,6,1,2,4,5] => 21 [3,6,1,2,5,4] => 23 [3,6,1,4,2,5] => 29 [3,6,1,4,5,2] => 27 [3,6,1,5,2,4] => 28 [3,6,1,5,4,2] => 23 [3,6,2,1,4,5] => 22 [3,6,2,1,5,4] => 21 [3,6,2,4,1,5] => 28 [3,6,2,4,5,1] => 25 [3,6,2,5,1,4] => 27 [3,6,2,5,4,1] => 24 [3,6,4,1,2,5] => 25 [3,6,4,1,5,2] => 28 [3,6,4,2,1,5] => 24 [3,6,4,2,5,1] => 27 [3,6,4,5,1,2] => 20 [3,6,4,5,2,1] => 20 [3,6,5,1,2,4] => 22 [3,6,5,1,4,2] => 23 [3,6,5,2,1,4] => 22 [3,6,5,2,4,1] => 23 [3,6,5,4,1,2] => 17 [3,6,5,4,2,1] => 15 [4,1,2,3,5,6] => 15 [4,1,2,3,6,5] => 17 [4,1,2,5,3,6] => 23 [4,1,2,5,6,3] => 22 [4,1,2,6,3,5] => 23 [4,1,2,6,5,3] => 22 [4,1,3,2,5,6] => 20 [4,1,3,2,6,5] => 20 [4,1,3,5,2,6] => 27 [4,1,3,5,6,2] => 24 [4,1,3,6,2,5] => 28 [4,1,3,6,5,2] => 25 [4,1,5,2,3,6] => 24 [4,1,5,2,6,3] => 27 [4,1,5,3,2,6] => 25 [4,1,5,3,6,2] => 28 [4,1,5,6,2,3] => 21 [4,1,5,6,3,2] => 22 [4,1,6,2,3,5] => 23 [4,1,6,2,5,3] => 28 [4,1,6,3,2,5] => 27 [4,1,6,3,5,2] => 29 [4,1,6,5,2,3] => 23 [4,1,6,5,3,2] => 21 [4,2,1,3,5,6] => 18 [4,2,1,3,6,5] => 20 [4,2,1,5,3,6] => 24 [4,2,1,5,6,3] => 22 [4,2,1,6,3,5] => 24 [4,2,1,6,5,3] => 20 [4,2,3,1,5,6] => 20 [4,2,3,1,6,5] => 21 [4,2,3,5,1,6] => 23 [4,2,3,5,6,1] => 20 [4,2,3,6,1,5] => 25 [4,2,3,6,5,1] => 22 [4,2,5,1,3,6] => 27 [4,2,5,1,6,3] => 28 [4,2,5,3,1,6] => 27 [4,2,5,3,6,1] => 27 [4,2,5,6,1,3] => 24 [4,2,5,6,3,1] => 24 [4,2,6,1,3,5] => 28 [4,2,6,1,5,3] => 26 [4,2,6,3,1,5] => 29 [4,2,6,3,5,1] => 27 [4,2,6,5,1,3] => 24 [4,2,6,5,3,1] => 23 [4,3,1,2,5,6] => 17 [4,3,1,2,6,5] => 18 [4,3,1,5,2,6] => 24 [4,3,1,5,6,2] => 22 [4,3,1,6,2,5] => 24 [4,3,1,6,5,2] => 21 [4,3,2,1,5,6] => 13 [4,3,2,1,6,5] => 13 [4,3,2,5,1,6] => 18 [4,3,2,5,6,1] => 17 [4,3,2,6,1,5] => 19 [4,3,2,6,5,1] => 17 [4,3,5,1,2,6] => 21 [4,3,5,1,6,2] => 24 [4,3,5,2,1,6] => 19 [4,3,5,2,6,1] => 21 [4,3,5,6,1,2] => 18 [4,3,5,6,2,1] => 17 [4,3,6,1,2,5] => 23 [4,3,6,1,5,2] => 24 [4,3,6,2,1,5] => 21 [4,3,6,2,5,1] => 23 [4,3,6,5,1,2] => 18 [4,3,6,5,2,1] => 17 [4,5,1,2,3,6] => 17 [4,5,1,2,6,3] => 21 [4,5,1,3,2,6] => 22 [4,5,1,3,6,2] => 25 [4,5,1,6,2,3] => 20 [4,5,1,6,3,2] => 22 [4,5,2,1,3,6] => 21 [4,5,2,1,6,3] => 23 [4,5,2,3,1,6] => 20 [4,5,2,3,6,1] => 21 [4,5,2,6,1,3] => 24 [4,5,2,6,3,1] => 24 [4,5,3,1,2,6] => 20 [4,5,3,1,6,2] => 24 [4,5,3,2,1,6] => 16 [4,5,3,2,6,1] => 19 [4,5,3,6,1,2] => 20 [4,5,3,6,2,1] => 18 [4,5,6,1,2,3] => 13 [4,5,6,1,3,2] => 17 [4,5,6,2,1,3] => 17 [4,5,6,2,3,1] => 16 [4,5,6,3,1,2] => 16 [4,5,6,3,2,1] => 13 [4,6,1,2,3,5] => 19 [4,6,1,2,5,3] => 24 [4,6,1,3,2,5] => 25 [4,6,1,3,5,2] => 28 [4,6,1,5,2,3] => 24 [4,6,1,5,3,2] => 23 [4,6,2,1,3,5] => 24 [4,6,2,1,5,3] => 24 [4,6,2,3,1,5] => 25 [4,6,2,3,5,1] => 25 [4,6,2,5,1,3] => 26 [4,6,2,5,3,1] => 25 [4,6,3,1,2,5] => 24 [4,6,3,1,5,2] => 27 [4,6,3,2,1,5] => 19 [4,6,3,2,5,1] => 23 [4,6,3,5,1,2] => 22 [4,6,3,5,2,1] => 21 [4,6,5,1,2,3] => 17 [4,6,5,1,3,2] => 19 [4,6,5,2,1,3] => 20 [4,6,5,2,3,1] => 19 [4,6,5,3,1,2] => 18 [4,6,5,3,2,1] => 14 [5,1,2,3,4,6] => 14 [5,1,2,3,6,4] => 19 [5,1,2,4,3,6] => 21 [5,1,2,4,6,3] => 24 [5,1,2,6,3,4] => 21 [5,1,2,6,4,3] => 22 [5,1,3,2,4,6] => 23 [5,1,3,2,6,4] => 25 [5,1,3,4,2,6] => 25 [5,1,3,4,6,2] => 25 [5,1,3,6,2,4] => 29 [5,1,3,6,4,2] => 28 [5,1,4,2,3,6] => 23 [5,1,4,2,6,3] => 28 [5,1,4,3,2,6] => 20 [5,1,4,3,6,2] => 25 [5,1,4,6,2,3] => 25 [5,1,4,6,3,2] => 24 [5,1,6,2,3,4] => 19 [5,1,6,2,4,3] => 24 [5,1,6,3,2,4] => 25 [5,1,6,3,4,2] => 25 [5,1,6,4,2,3] => 24 [5,1,6,4,3,2] => 19 [5,2,1,3,4,6] => 19 [5,2,1,3,6,4] => 24 [5,2,1,4,3,6] => 21 [5,2,1,4,6,3] => 25 [5,2,1,6,3,4] => 23 [5,2,1,6,4,3] => 21 [5,2,3,1,4,6] => 23 [5,2,3,1,6,4] => 25 [5,2,3,4,1,6] => 21 [5,2,3,4,6,1] => 20 [5,2,3,6,1,4] => 27 [5,2,3,6,4,1] => 25 [5,2,4,1,3,6] => 27 [5,2,4,1,6,3] => 29 [5,2,4,3,1,6] => 24 [5,2,4,3,6,1] => 25 [5,2,4,6,1,3] => 28 [5,2,4,6,3,1] => 27 [5,2,6,1,3,4] => 24 [5,2,6,1,4,3] => 24 [5,2,6,3,1,4] => 28 [5,2,6,3,4,1] => 25 [5,2,6,4,1,3] => 27 [5,2,6,4,3,1] => 23 [5,3,1,2,4,6] => 21 [5,3,1,2,6,4] => 24 [5,3,1,4,2,6] => 27 [5,3,1,4,6,2] => 28 [5,3,1,6,2,4] => 28 [5,3,1,6,4,2] => 27 [5,3,2,1,4,6] => 18 [5,3,2,1,6,4] => 19 [5,3,2,4,1,6] => 23 [5,3,2,4,6,1] => 23 [5,3,2,6,1,4] => 23 [5,3,2,6,4,1] => 24 [5,3,4,1,2,6] => 20 [5,3,4,1,6,2] => 25 [5,3,4,2,1,6] => 20 [5,3,4,2,6,1] => 23 [5,3,4,6,1,2] => 20 [5,3,4,6,2,1] => 20 [5,3,6,1,2,4] => 24 [5,3,6,1,4,2] => 26 [5,3,6,2,1,4] => 23 [5,3,6,2,4,1] => 25 [5,3,6,4,1,2] => 22 [5,3,6,4,2,1] => 21 [5,4,1,2,3,6] => 17 [5,4,1,2,6,3] => 22 [5,4,1,3,2,6] => 20 [5,4,1,3,6,2] => 24 [5,4,1,6,2,3] => 22 [5,4,1,6,3,2] => 22 [5,4,2,1,3,6] => 19 [5,4,2,1,6,3] => 21 [5,4,2,3,1,6] => 20 [5,4,2,3,6,1] => 21 [5,4,2,6,1,3] => 23 [5,4,2,6,3,1] => 23 [5,4,3,1,2,6] => 16 [5,4,3,1,6,2] => 19 [5,4,3,2,1,6] => 11 [5,4,3,2,6,1] => 14 [5,4,3,6,1,2] => 17 [5,4,3,6,2,1] => 15 [5,4,6,1,2,3] => 17 [5,4,6,1,3,2] => 20 [5,4,6,2,1,3] => 19 [5,4,6,2,3,1] => 19 [5,4,6,3,1,2] => 18 [5,4,6,3,2,1] => 14 [5,6,1,2,3,4] => 13 [5,6,1,2,4,3] => 18 [5,6,1,3,2,4] => 21 [5,6,1,3,4,2] => 20 [5,6,1,4,2,3] => 20 [5,6,1,4,3,2] => 17 [5,6,2,1,3,4] => 18 [5,6,2,1,4,3] => 18 [5,6,2,3,1,4] => 20 [5,6,2,3,4,1] => 17 [5,6,2,4,1,3] => 22 [5,6,2,4,3,1] => 19 [5,6,3,1,2,4] => 20 [5,6,3,1,4,2] => 22 [5,6,3,2,1,4] => 17 [5,6,3,2,4,1] => 19 [5,6,3,4,1,2] => 15 [5,6,3,4,2,1] => 15 [5,6,4,1,2,3] => 16 [5,6,4,1,3,2] => 18 [5,6,4,2,1,3] => 18 [5,6,4,2,3,1] => 17 [5,6,4,3,1,2] => 15 [5,6,4,3,2,1] => 11 [6,1,2,3,4,5] => 11 [6,1,2,3,5,4] => 16 [6,1,2,4,3,5] => 20 [6,1,2,4,5,3] => 20 [6,1,2,5,3,4] => 19 [6,1,2,5,4,3] => 17 [6,1,3,2,4,5] => 20 [6,1,3,2,5,4] => 20 [6,1,3,4,2,5] => 24 [6,1,3,4,5,2] => 20 [6,1,3,5,2,4] => 27 [6,1,3,5,4,2] => 23 [6,1,4,2,3,5] => 23 [6,1,4,2,5,3] => 27 [6,1,4,3,2,5] => 21 [6,1,4,3,5,2] => 25 [6,1,4,5,2,3] => 21 [6,1,4,5,3,2] => 21 [6,1,5,2,3,4] => 18 [6,1,5,2,4,3] => 21 [6,1,5,3,2,4] => 23 [6,1,5,3,4,2] => 23 [6,1,5,4,2,3] => 19 [6,1,5,4,3,2] => 14 [6,2,1,3,4,5] => 16 [6,2,1,3,5,4] => 20 [6,2,1,4,3,5] => 20 [6,2,1,4,5,3] => 22 [6,2,1,5,3,4] => 21 [6,2,1,5,4,3] => 17 [6,2,3,1,4,5] => 20 [6,2,3,1,5,4] => 22 [6,2,3,4,1,5] => 20 [6,2,3,4,5,1] => 16 [6,2,3,5,1,4] => 25 [6,2,3,5,4,1] => 21 [6,2,4,1,3,5] => 27 [6,2,4,1,5,3] => 27 [6,2,4,3,1,5] => 25 [6,2,4,3,5,1] => 25 [6,2,4,5,1,3] => 25 [6,2,4,5,3,1] => 23 [6,2,5,1,3,4] => 24 [6,2,5,1,4,3] => 23 [6,2,5,3,1,4] => 27 [6,2,5,3,4,1] => 23 [6,2,5,4,1,3] => 23 [6,2,5,4,3,1] => 18 [6,3,1,2,4,5] => 19 [6,3,1,2,5,4] => 21 [6,3,1,4,2,5] => 27 [6,3,1,4,5,2] => 25 [6,3,1,5,2,4] => 27 [6,3,1,5,4,2] => 24 [6,3,2,1,4,5] => 17 [6,3,2,1,5,4] => 17 [6,3,2,4,1,5] => 23 [6,3,2,4,5,1] => 21 [6,3,2,5,1,4] => 24 [6,3,2,5,4,1] => 21 [6,3,4,1,2,5] => 21 [6,3,4,1,5,2] => 25 [6,3,4,2,1,5] => 21 [6,3,4,2,5,1] => 23 [6,3,4,5,1,2] => 17 [6,3,4,5,2,1] => 17 [6,3,5,1,2,4] => 24 [6,3,5,1,4,2] => 25 [6,3,5,2,1,4] => 23 [6,3,5,2,4,1] => 25 [6,3,5,4,1,2] => 19 [6,3,5,4,2,1] => 18 [6,4,1,2,3,5] => 18 [6,4,1,2,5,3] => 24 [6,4,1,3,2,5] => 23 [6,4,1,3,5,2] => 27 [6,4,1,5,2,3] => 24 [6,4,1,5,3,2] => 23 [6,4,2,1,3,5] => 21 [6,4,2,1,5,3] => 23 [6,4,2,3,1,5] => 23 [6,4,2,3,5,1] => 23 [6,4,2,5,1,3] => 25 [6,4,2,5,3,1] => 25 [6,4,3,1,2,5] => 19 [6,4,3,1,5,2] => 23 [6,4,3,2,1,5] => 14 [6,4,3,2,5,1] => 18 [6,4,3,5,1,2] => 19 [6,4,3,5,2,1] => 18 [6,4,5,1,2,3] => 16 [6,4,5,1,3,2] => 19 [6,4,5,2,1,3] => 19 [6,4,5,2,3,1] => 17 [6,4,5,3,1,2] => 17 [6,4,5,3,2,1] => 14 [6,5,1,2,3,4] => 13 [6,5,1,2,4,3] => 17 [6,5,1,3,2,4] => 20 [6,5,1,3,4,2] => 20 [6,5,1,4,2,3] => 18 [6,5,1,4,3,2] => 15 [6,5,2,1,3,4] => 17 [6,5,2,1,4,3] => 17 [6,5,2,3,1,4] => 20 [6,5,2,3,4,1] => 17 [6,5,2,4,1,3] => 21 [6,5,2,4,3,1] => 18 [6,5,3,1,2,4] => 18 [6,5,3,1,4,2] => 21 [6,5,3,2,1,4] => 15 [6,5,3,2,4,1] => 18 [6,5,3,4,1,2] => 15 [6,5,3,4,2,1] => 15 [6,5,4,1,2,3] => 13 [6,5,4,1,3,2] => 14 [6,5,4,2,1,3] => 14 [6,5,4,2,3,1] => 14 [6,5,4,3,1,2] => 11 [6,5,4,3,2,1] => 7 [1,2,3,4,5,6,7] => 8 [1,2,3,4,5,7,6] => 13 [1,2,3,4,6,5,7] => 17 [1,2,3,4,6,7,5] => 17 [1,2,3,4,7,5,6] => 17 [1,2,3,4,7,6,5] => 16 [1,2,3,5,4,6,7] => 19 [1,2,3,5,4,7,6] => 19 [1,2,3,5,6,4,7] => 23 [1,2,3,5,6,7,4] => 19 [1,2,3,5,7,4,6] => 27 [1,2,3,5,7,6,4] => 23 [1,2,3,6,4,5,7] => 23 [1,2,3,6,4,7,5] => 27 [1,2,3,6,5,4,7] => 22 [1,2,3,6,5,7,4] => 26 [1,2,3,6,7,4,5] => 22 [1,2,3,6,7,5,4] => 22 [1,2,3,7,4,5,6] => 19 [1,2,3,7,4,6,5] => 23 [1,2,3,7,5,4,6] => 26 [1,2,3,7,5,6,4] => 26 [1,2,3,7,6,4,5] => 22 [1,2,3,7,6,5,4] => 17 [1,2,4,3,5,6,7] => 19 [1,2,4,3,5,7,6] => 23 [1,2,4,3,6,5,7] => 23 [1,2,4,3,6,7,5] => 26 [1,2,4,3,7,5,6] => 26 [1,2,4,3,7,6,5] => 22 [1,2,4,5,3,6,7] => 25 [1,2,4,5,3,7,6] => 26 [1,2,4,5,6,3,7] => 25 [1,2,4,5,6,7,3] => 19 [1,2,4,5,7,3,6] => 32 [1,2,4,5,7,6,3] => 26 [1,2,4,6,3,5,7] => 35 [1,2,4,6,3,7,5] => 35 [1,2,4,6,5,3,7] => 32 [1,2,4,6,5,7,3] => 32 [1,2,4,6,7,3,5] => 32 [1,2,4,6,7,5,3] => 29 [1,2,4,7,3,5,6] => 32 [1,2,4,7,3,6,5] => 34 [1,2,4,7,5,3,6] => 38 [1,2,4,7,5,6,3] => 32 [1,2,4,7,6,3,5] => 34 [1,2,4,7,6,5,3] => 25 [1,2,5,3,4,6,7] => 25 [1,2,5,3,4,7,6] => 26 [1,2,5,3,6,4,7] => 35 [1,2,5,3,6,7,4] => 32 [1,2,5,3,7,4,6] => 35 [1,2,5,3,7,6,4] => 34 [1,2,5,4,3,6,7] => 24 [1,2,5,4,3,7,6] => 24 [1,2,5,4,6,3,7] => 33 [1,2,5,4,6,7,3] => 30 [1,2,5,4,7,3,6] => 36 [1,2,5,4,7,6,3] => 30 [1,2,5,6,3,4,7] => 30 [1,2,5,6,3,7,4] => 34 [1,2,5,6,4,3,7] => 30 [1,2,5,6,4,7,3] => 33 [1,2,5,6,7,3,4] => 24 [1,2,5,6,7,4,3] => 24 [1,2,5,7,3,4,6] => 34 [1,2,5,7,3,6,4] => 39 [1,2,5,7,4,3,6] => 36 [1,2,5,7,4,6,3] => 39 [1,2,5,7,6,3,4] => 30 [1,2,5,7,6,4,3] => 27 [1,2,6,3,4,5,7] => 25 [1,2,6,3,4,7,5] => 32 [1,2,6,3,5,4,7] => 32 [1,2,6,3,5,7,4] => 38 [1,2,6,3,7,4,5] => 32 [1,2,6,3,7,5,4] => 34 [1,2,6,4,3,5,7] => 33 [1,2,6,4,3,7,5] => 36 [1,2,6,4,5,3,7] => 36 [1,2,6,4,5,7,3] => 36 [1,2,6,4,7,3,5] => 39 [1,2,6,4,7,5,3] => 39 [1,2,6,5,3,4,7] => 30 [1,2,6,5,3,7,4] => 36 [1,2,6,5,4,3,7] => 23 [1,2,6,5,4,7,3] => 29 [1,2,6,5,7,3,4] => 32 [1,2,6,5,7,4,3] => 29 [1,2,6,7,3,4,5] => 24 [1,2,6,7,3,5,4] => 30 [1,2,6,7,4,3,5] => 32 [1,2,6,7,4,5,3] => 29 [1,2,6,7,5,3,4] => 29 [1,2,6,7,5,4,3] => 23 [1,2,7,3,4,5,6] => 19 [1,2,7,3,4,6,5] => 26 [1,2,7,3,5,4,6] => 32 [1,2,7,3,5,6,4] => 32 [1,2,7,3,6,4,5] => 29 [1,2,7,3,6,5,4] => 25 [1,2,7,4,3,5,6] => 30 [1,2,7,4,3,6,5] => 30 [1,2,7,4,5,3,6] => 36 [1,2,7,4,5,6,3] => 30 [1,2,7,4,6,3,5] => 39 [1,2,7,4,6,5,3] => 33 [1,2,7,5,3,4,6] => 33 [1,2,7,5,3,6,4] => 39 [1,2,7,5,4,3,6] => 29 [1,2,7,5,4,6,3] => 35 [1,2,7,5,6,3,4] => 29 [1,2,7,5,6,4,3] => 29 [1,2,7,6,3,4,5] => 24 [1,2,7,6,3,5,4] => 27 [1,2,7,6,4,3,5] => 29 [1,2,7,6,4,5,3] => 29 [1,2,7,6,5,3,4] => 23 [1,2,7,6,5,4,3] => 16 [1,3,2,4,5,6,7] => 17 [1,3,2,4,5,7,6] => 23 [1,3,2,4,6,5,7] => 26 [1,3,2,4,6,7,5] => 28 [1,3,2,4,7,5,6] => 28 [1,3,2,4,7,6,5] => 25 [1,3,2,5,4,6,7] => 23 [1,3,2,5,4,7,6] => 23 [1,3,2,5,6,4,7] => 30 [1,3,2,5,6,7,4] => 27 [1,3,2,5,7,4,6] => 35 [1,3,2,5,7,6,4] => 32 [1,3,2,6,4,5,7] => 30 [1,3,2,6,4,7,5] => 35 [1,3,2,6,5,4,7] => 27 [1,3,2,6,5,7,4] => 32 [1,3,2,6,7,4,5] => 29 [1,3,2,6,7,5,4] => 29 [1,3,2,7,4,5,6] => 27 [1,3,2,7,4,6,5] => 32 [1,3,2,7,5,4,6] => 32 [1,3,2,7,5,6,4] => 34 [1,3,2,7,6,4,5] => 29 [1,3,2,7,6,5,4] => 21 [1,3,4,2,5,6,7] => 23 [1,3,4,2,5,7,6] => 29 [1,3,4,2,6,5,7] => 30 [1,3,4,2,6,7,5] => 30 [1,3,4,2,7,5,6] => 32 [1,3,4,2,7,6,5] => 27 [1,3,4,5,2,6,7] => 25 [1,3,4,5,2,7,6] => 27 [1,3,4,5,6,2,7] => 23 [1,3,4,5,6,7,2] => 17 [1,3,4,5,7,2,6] => 31 [1,3,4,5,7,6,2] => 25 [1,3,4,6,2,5,7] => 38 [1,3,4,6,2,7,5] => 38 [1,3,4,6,5,2,7] => 34 [1,3,4,6,5,7,2] => 32 [1,3,4,6,7,2,5] => 34 [1,3,4,6,7,5,2] => 30 [1,3,4,7,2,5,6] => 36 [1,3,4,7,2,6,5] => 37 [1,3,4,7,5,2,6] => 40 [1,3,4,7,5,6,2] => 32 [1,3,4,7,6,2,5] => 37 [1,3,4,7,6,5,2] => 27 [1,3,5,2,4,6,7] => 35 [1,3,5,2,4,7,6] => 37 [1,3,5,2,6,4,7] => 42 [1,3,5,2,6,7,4] => 39 [1,3,5,2,7,4,6] => 43 [1,3,5,2,7,6,4] => 40 [1,3,5,4,2,6,7] => 33 [1,3,5,4,2,7,6] => 33 [1,3,5,4,6,2,7] => 39 [1,3,5,4,6,7,2] => 33 [1,3,5,4,7,2,6] => 43 [1,3,5,4,7,6,2] => 33 [1,3,5,6,2,4,7] => 40 [1,3,5,6,2,7,4] => 39 [1,3,5,6,4,2,7] => 38 [1,3,5,6,4,7,2] => 38 [1,3,5,6,7,2,4] => 31 [1,3,5,6,7,4,2] => 29 [1,3,5,7,2,4,6] => 45 [1,3,5,7,2,6,4] => 48 [1,3,5,7,4,2,6] => 47 [1,3,5,7,4,6,2] => 45 [1,3,5,7,6,2,4] => 40 [1,3,5,7,6,4,2] => 34 [1,3,6,2,4,5,7] => 38 [1,3,6,2,4,7,5] => 45 [1,3,6,2,5,4,7] => 43 [1,3,6,2,5,7,4] => 48 [1,3,6,2,7,4,5] => 41 [1,3,6,2,7,5,4] => 41 [1,3,6,4,2,5,7] => 46 [1,3,6,4,2,7,5] => 47 [1,3,6,4,5,2,7] => 42 [1,3,6,4,5,7,2] => 40 [1,3,6,4,7,2,5] => 49 [1,3,6,4,7,5,2] => 45 [1,3,6,5,2,4,7] => 43 [1,3,6,5,2,7,4] => 46 [1,3,6,5,4,2,7] => 33 [1,3,6,5,4,7,2] => 35 [1,3,6,5,7,2,4] => 42 [1,3,6,5,7,4,2] => 38 [1,3,6,7,2,4,5] => 35 [1,3,6,7,2,5,4] => 39 [1,3,6,7,4,2,5] => 43 [1,3,6,7,4,5,2] => 35 [1,3,6,7,5,2,4] => 41 [1,3,6,7,5,4,2] => 31 [1,3,7,2,4,5,6] => 31 [1,3,7,2,4,6,5] => 40 [1,3,7,2,5,4,6] => 42 [1,3,7,2,5,6,4] => 42 [1,3,7,2,6,4,5] => 41 [1,3,7,2,6,5,4] => 33 [1,3,7,4,2,5,6] => 41 [1,3,7,4,2,6,5] => 42 [1,3,7,4,5,2,6] => 43 [1,3,7,4,5,6,2] => 33 [1,3,7,4,6,2,5] => 48 [1,3,7,4,6,5,2] => 38 [1,3,7,5,2,4,6] => 48 [1,3,7,5,2,6,4] => 50 [1,3,7,5,4,2,6] => 42 [1,3,7,5,4,6,2] => 42 [1,3,7,5,6,2,4] => 42 [1,3,7,5,6,4,2] => 38 [1,3,7,6,2,4,5] => 37 [1,3,7,6,2,5,4] => 37 [1,3,7,6,4,2,5] => 41 [1,3,7,6,4,5,2] => 35 [1,3,7,6,5,2,4] => 33 [1,3,7,6,5,4,2] => 23 [1,4,2,3,5,6,7] => 23 [1,4,2,3,5,7,6] => 29 [1,4,2,3,6,5,7] => 30 [1,4,2,3,6,7,5] => 32 [1,4,2,3,7,5,6] => 30 [1,4,2,3,7,6,5] => 27 [1,4,2,5,3,6,7] => 35 [1,4,2,5,3,7,6] => 37 [1,4,2,5,6,3,7] => 38 [1,4,2,5,6,7,3] => 31 [1,4,2,5,7,3,6] => 45 [1,4,2,5,7,6,3] => 40 [1,4,2,6,3,5,7] => 42 [1,4,2,6,3,7,5] => 43 [1,4,2,6,5,3,7] => 43 [1,4,2,6,5,7,3] => 42 [1,4,2,6,7,3,5] => 41 [1,4,2,6,7,5,3] => 41 [1,4,2,7,3,5,6] => 39 [1,4,2,7,3,6,5] => 40 [1,4,2,7,5,3,6] => 48 [1,4,2,7,5,6,3] => 42 [1,4,2,7,6,3,5] => 41 [1,4,2,7,6,5,3] => 33 [1,4,3,2,5,6,7] => 22 [1,4,3,2,5,7,6] => 27 [1,4,3,2,6,5,7] => 27 [1,4,3,2,6,7,5] => 29 [1,4,3,2,7,5,6] => 29 [1,4,3,2,7,6,5] => 22 [1,4,3,5,2,6,7] => 32 [1,4,3,5,2,7,6] => 35 [1,4,3,5,6,2,7] => 34 [1,4,3,5,6,7,2] => 28 [1,4,3,5,7,2,6] => 43 [1,4,3,5,7,6,2] => 35 [1,4,3,6,2,5,7] => 43 [1,4,3,6,2,7,5] => 43 [1,4,3,6,5,2,7] => 37 [1,4,3,6,5,7,2] => 35 [1,4,3,6,7,2,5] => 41 [1,4,3,6,7,5,2] => 37 [1,4,3,7,2,5,6] => 39 [1,4,3,7,2,6,5] => 36 [1,4,3,7,5,2,6] => 45 [1,4,3,7,5,6,2] => 39 [1,4,3,7,6,2,5] => 38 [1,4,3,7,6,5,2] => 30 [1,4,5,2,3,6,7] => 30 [1,4,5,2,3,7,6] => 31 [1,4,5,2,6,3,7] => 40 [1,4,5,2,6,7,3] => 36 [1,4,5,2,7,3,6] => 42 [1,4,5,2,7,6,3] => 40 [1,4,5,3,2,6,7] => 30 [1,4,5,3,2,7,6] => 31 [1,4,5,3,6,2,7] => 38 [1,4,5,3,6,7,2] => 34 [1,4,5,3,7,2,6] => 43 [1,4,5,3,7,6,2] => 37 [1,4,5,6,2,3,7] => 30 [1,4,5,6,2,7,3] => 33 [1,4,5,6,3,2,7] => 30 [1,4,5,6,3,7,2] => 32 [1,4,5,6,7,2,3] => 22 [1,4,5,6,7,3,2] => 22 [1,4,5,7,2,3,6] => 37 [1,4,5,7,2,6,3] => 43 [1,4,5,7,3,2,6] => 39 [1,4,5,7,3,6,2] => 43 [1,4,5,7,6,2,3] => 31 [1,4,5,7,6,3,2] => 29 [1,4,6,2,3,5,7] => 40 [1,4,6,2,3,7,5] => 42 [1,4,6,2,5,3,7] => 49 [1,4,6,2,5,7,3] => 52 [1,4,6,2,7,3,5] => 46 [1,4,6,2,7,5,3] => 50 [1,4,6,3,2,5,7] => 43 [1,4,6,3,2,7,5] => 43 [1,4,6,3,5,2,7] => 49 [1,4,6,3,5,7,2] => 49 [1,4,6,3,7,2,5] => 51 [1,4,6,3,7,5,2] => 49 [1,4,6,5,2,3,7] => 39 [1,4,6,5,2,7,3] => 45 [1,4,6,5,3,2,7] => 35 [1,4,6,5,3,7,2] => 41 ----------------------------------------------------------------------------- Created: Jun 01, 2016 at 14:50 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Oct 17, 2017 at 11:00 by Christian Stump