***************************************************************************** * 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: St000484 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The sum of St000483 over all subsequences of length at least three. ----------------------------------------------------------------------------- References: [1] Ahmed, T., Snevily, H. Some properties of roller coaster permutations [[MathSciNet:3136863]] ----------------------------------------------------------------------------- Code: # code could be simplified... def inc_runs(w): """ runs in w of length at least 2 sage: sage: pi = Permutation([2,1,4,3]) sage: inc_runs(pi) """ runs = [] current_value = w[0] current_run = [w[0]] for i in w[1:]: if i < current_value: if len(current_run) > 1: runs.append(current_run) current_run = [i] else: current_run.append(i) current_value = i if len(current_run) > 1: runs.append(current_run) return len(runs) def dec_runs(w): """ sage: pi = Permutation([2,1,4,3]) sage: dec_runs(pi) """ return inc_runs(w[::-1]) def total_runs(w): """ sage: all(total_runs(pi)==1+pi.number_of_peaks()+pi.complement().number_of_peaks() for pi in Permutations(6)) True """ return inc_runs(w) + dec_runs(w) def statistic(pi): """ sage: statistic([2,1,4,3]) 11 sage: statistic([1,2,3,4]) 5 """ return sum([total_runs(tau) for k in range(3, len(pi)+1) for tau in Subwords(pi, k)]) ----------------------------------------------------------------------------- Statistic values: [1] => 0 [1,2] => 0 [2,1] => 0 [1,2,3] => 1 [1,3,2] => 2 [2,1,3] => 2 [2,3,1] => 2 [3,1,2] => 2 [3,2,1] => 1 [1,2,3,4] => 5 [1,2,4,3] => 8 [1,3,2,4] => 9 [1,3,4,2] => 9 [1,4,2,3] => 10 [1,4,3,2] => 9 [2,1,3,4] => 8 [2,1,4,3] => 11 [2,3,1,4] => 10 [2,3,4,1] => 9 [2,4,1,3] => 11 [2,4,3,1] => 9 [3,1,2,4] => 9 [3,1,4,2] => 11 [3,2,1,4] => 9 [3,2,4,1] => 10 [3,4,1,2] => 11 [3,4,2,1] => 8 [4,1,2,3] => 9 [4,1,3,2] => 10 [4,2,1,3] => 9 [4,2,3,1] => 9 [4,3,1,2] => 8 [4,3,2,1] => 5 [1,2,3,4,5] => 16 [1,2,3,5,4] => 23 [1,2,4,3,5] => 26 [1,2,4,5,3] => 26 [1,2,5,3,4] => 29 [1,2,5,4,3] => 28 [1,3,2,4,5] => 26 [1,3,2,5,4] => 33 [1,3,4,2,5] => 30 [1,3,4,5,2] => 27 [1,3,5,2,4] => 33 [1,3,5,4,2] => 29 [1,4,2,3,5] => 30 [1,4,2,5,3] => 34 [1,4,3,2,5] => 32 [1,4,3,5,2] => 33 [1,4,5,2,3] => 34 [1,4,5,3,2] => 29 [1,5,2,3,4] => 31 [1,5,2,4,3] => 34 [1,5,3,2,4] => 33 [1,5,3,4,2] => 33 [1,5,4,2,3] => 32 [1,5,4,3,2] => 27 [2,1,3,4,5] => 23 [2,1,3,5,4] => 30 [2,1,4,3,5] => 33 [2,1,4,5,3] => 33 [2,1,5,3,4] => 36 [2,1,5,4,3] => 35 [2,3,1,4,5] => 29 [2,3,1,5,4] => 36 [2,3,4,1,5] => 31 [2,3,4,5,1] => 27 [2,3,5,1,4] => 34 [2,3,5,4,1] => 29 [2,4,1,3,5] => 33 [2,4,1,5,3] => 37 [2,4,3,1,5] => 33 [2,4,3,5,1] => 33 [2,4,5,1,3] => 35 [2,4,5,3,1] => 29 [2,5,1,3,4] => 34 [2,5,1,4,3] => 37 [2,5,3,1,4] => 34 [2,5,3,4,1] => 33 [2,5,4,1,3] => 33 [2,5,4,3,1] => 27 [3,1,2,4,5] => 26 [3,1,2,5,4] => 33 [3,1,4,2,5] => 34 [3,1,4,5,2] => 33 [3,1,5,2,4] => 37 [3,1,5,4,2] => 35 [3,2,1,4,5] => 28 [3,2,1,5,4] => 35 [3,2,4,1,5] => 34 [3,2,4,5,1] => 32 [3,2,5,1,4] => 37 [3,2,5,4,1] => 34 [3,4,1,2,5] => 34 [3,4,1,5,2] => 37 [3,4,2,1,5] => 32 [3,4,2,5,1] => 34 [3,4,5,1,2] => 35 [3,4,5,2,1] => 28 [3,5,1,2,4] => 35 [3,5,1,4,2] => 37 [3,5,2,1,4] => 33 [3,5,2,4,1] => 34 [3,5,4,1,2] => 33 [3,5,4,2,1] => 26 [4,1,2,3,5] => 27 [4,1,2,5,3] => 33 [4,1,3,2,5] => 33 [4,1,3,5,2] => 34 [4,1,5,2,3] => 37 [4,1,5,3,2] => 34 [4,2,1,3,5] => 29 [4,2,1,5,3] => 35 [4,2,3,1,5] => 33 [4,2,3,5,1] => 33 [4,2,5,1,3] => 37 [4,2,5,3,1] => 33 [4,3,1,2,5] => 29 [4,3,1,5,2] => 34 [4,3,2,1,5] => 27 [4,3,2,5,1] => 31 [4,3,5,1,2] => 36 [4,3,5,2,1] => 29 [4,5,1,2,3] => 35 [4,5,1,3,2] => 36 [4,5,2,1,3] => 33 [4,5,2,3,1] => 33 [4,5,3,1,2] => 30 [4,5,3,2,1] => 23 [5,1,2,3,4] => 27 [5,1,2,4,3] => 32 [5,1,3,2,4] => 33 [5,1,3,4,2] => 33 [5,1,4,2,3] => 34 [5,1,4,3,2] => 31 [5,2,1,3,4] => 29 [5,2,1,4,3] => 34 [5,2,3,1,4] => 33 [5,2,3,4,1] => 32 [5,2,4,1,3] => 34 [5,2,4,3,1] => 30 [5,3,1,2,4] => 29 [5,3,1,4,2] => 33 [5,3,2,1,4] => 27 [5,3,2,4,1] => 30 [5,3,4,1,2] => 33 [5,3,4,2,1] => 26 [5,4,1,2,3] => 28 [5,4,1,3,2] => 29 [5,4,2,1,3] => 26 [5,4,2,3,1] => 26 [5,4,3,1,2] => 23 [5,4,3,2,1] => 16 [1,2,3,4,5,6] => 42 [1,2,3,4,6,5] => 57 [1,2,3,5,4,6] => 64 [1,2,3,5,6,4] => 64 [1,2,3,6,4,5] => 71 [1,2,3,6,5,4] => 70 [1,2,4,3,5,6] => 66 [1,2,4,3,6,5] => 81 [1,2,4,5,3,6] => 74 [1,2,4,5,6,3] => 67 [1,2,4,6,3,5] => 81 [1,2,4,6,5,3] => 73 [1,2,5,3,4,6] => 76 [1,2,5,3,6,4] => 84 [1,2,5,4,3,6] => 82 [1,2,5,4,6,3] => 83 [1,2,5,6,3,4] => 84 [1,2,5,6,4,3] => 75 [1,2,6,3,4,5] => 79 [1,2,6,3,5,4] => 86 [1,2,6,4,3,5] => 85 [1,2,6,4,5,3] => 85 [1,2,6,5,3,4] => 84 [1,2,6,5,4,3] => 75 [1,3,2,4,5,6] => 64 [1,3,2,4,6,5] => 79 [1,3,2,5,4,6] => 86 [1,3,2,5,6,4] => 86 [1,3,2,6,4,5] => 93 [1,3,2,6,5,4] => 92 [1,3,4,2,5,6] => 76 [1,3,4,2,6,5] => 91 [1,3,4,5,2,6] => 78 [1,3,4,5,6,2] => 68 [1,3,4,6,2,5] => 85 [1,3,4,6,5,2] => 74 [1,3,5,2,4,6] => 86 [1,3,5,2,6,4] => 94 [1,3,5,4,2,6] => 86 [1,3,5,4,6,2] => 84 [1,3,5,6,2,4] => 88 [1,3,5,6,4,2] => 76 [1,3,6,2,4,5] => 89 [1,3,6,2,5,4] => 96 [1,3,6,4,2,5] => 89 [1,3,6,4,5,2] => 86 [1,3,6,5,2,4] => 88 [1,3,6,5,4,2] => 76 [1,4,2,3,5,6] => 74 [1,4,2,3,6,5] => 89 [1,4,2,5,3,6] => 90 [1,4,2,5,6,3] => 87 [1,4,2,6,3,5] => 97 [1,4,2,6,5,3] => 93 [1,4,3,2,5,6] => 82 [1,4,3,2,6,5] => 97 [1,4,3,5,2,6] => 92 [1,4,3,5,6,2] => 86 [1,4,3,6,2,5] => 99 [1,4,3,6,5,2] => 92 [1,4,5,2,3,6] => 90 [1,4,5,2,6,3] => 95 [1,4,5,3,2,6] => 88 [1,4,5,3,6,2] => 90 [1,4,5,6,2,3] => 89 [1,4,5,6,3,2] => 76 [1,4,6,2,3,5] => 93 [1,4,6,2,5,3] => 97 [1,4,6,3,2,5] => 91 [1,4,6,3,5,2] => 92 [1,4,6,5,2,3] => 89 [1,4,6,5,3,2] => 76 [1,5,2,3,4,6] => 78 [1,5,2,3,6,4] => 90 [1,5,2,4,3,6] => 92 [1,5,2,4,6,3] => 93 [1,5,2,6,3,4] => 98 [1,5,2,6,4,3] => 93 [1,5,3,2,4,6] => 86 [1,5,3,2,6,4] => 98 [1,5,3,4,2,6] => 94 [1,5,3,4,6,2] => 92 [1,5,3,6,2,4] => 100 [1,5,3,6,4,2] => 92 [1,5,4,2,3,6] => 88 [1,5,4,2,6,3] => 97 [1,5,4,3,2,6] => 86 [1,5,4,3,6,2] => 92 [1,5,4,6,2,3] => 99 [1,5,4,6,3,2] => 86 [1,5,6,2,3,4] => 94 [1,5,6,2,4,3] => 97 [1,5,6,3,2,4] => 92 [1,5,6,3,4,2] => 92 [1,5,6,4,2,3] => 87 [1,5,6,4,3,2] => 74 [1,6,2,3,4,5] => 79 [1,6,2,3,5,4] => 90 [1,6,2,4,3,5] => 93 [1,6,2,4,5,3] => 93 [1,6,2,5,3,4] => 96 [1,6,2,5,4,3] => 91 [1,6,3,2,4,5] => 87 [1,6,3,2,5,4] => 98 [1,6,3,4,2,5] => 95 [1,6,3,4,5,2] => 92 [1,6,3,5,2,4] => 98 [1,6,3,5,4,2] => 90 [1,6,4,2,3,5] => 89 [1,6,4,2,5,3] => 97 [1,6,4,3,2,5] => 87 [1,6,4,3,5,2] => 92 [1,6,4,5,2,3] => 97 [1,6,4,5,3,2] => 84 [1,6,5,2,3,4] => 88 [1,6,5,2,4,3] => 91 [1,6,5,3,2,4] => 86 [1,6,5,3,4,2] => 86 [1,6,5,4,2,3] => 81 [1,6,5,4,3,2] => 68 [2,1,3,4,5,6] => 57 [2,1,3,4,6,5] => 72 [2,1,3,5,4,6] => 79 [2,1,3,5,6,4] => 79 [2,1,3,6,4,5] => 86 [2,1,3,6,5,4] => 85 [2,1,4,3,5,6] => 81 [2,1,4,3,6,5] => 96 [2,1,4,5,3,6] => 89 [2,1,4,5,6,3] => 82 [2,1,4,6,3,5] => 96 [2,1,4,6,5,3] => 88 [2,1,5,3,4,6] => 91 [2,1,5,3,6,4] => 99 [2,1,5,4,3,6] => 97 [2,1,5,4,6,3] => 98 [2,1,5,6,3,4] => 99 [2,1,5,6,4,3] => 90 [2,1,6,3,4,5] => 94 [2,1,6,3,5,4] => 101 [2,1,6,4,3,5] => 100 [2,1,6,4,5,3] => 100 [2,1,6,5,3,4] => 99 [2,1,6,5,4,3] => 90 [2,3,1,4,5,6] => 71 [2,3,1,4,6,5] => 86 [2,3,1,5,4,6] => 93 [2,3,1,5,6,4] => 93 [2,3,1,6,4,5] => 100 [2,3,1,6,5,4] => 99 [2,3,4,1,5,6] => 79 [2,3,4,1,6,5] => 94 [2,3,4,5,1,6] => 79 [2,3,4,5,6,1] => 68 [2,3,4,6,1,5] => 86 [2,3,4,6,5,1] => 74 [2,3,5,1,4,6] => 89 [2,3,5,1,6,4] => 97 [2,3,5,4,1,6] => 87 [2,3,5,4,6,1] => 84 [2,3,5,6,1,4] => 89 [2,3,5,6,4,1] => 76 [2,3,6,1,4,5] => 92 [2,3,6,1,5,4] => 99 [2,3,6,4,1,5] => 90 [2,3,6,4,5,1] => 86 [2,3,6,5,1,4] => 89 [2,3,6,5,4,1] => 76 [2,4,1,3,5,6] => 81 [2,4,1,3,6,5] => 96 [2,4,1,5,3,6] => 97 [2,4,1,5,6,3] => 94 [2,4,1,6,3,5] => 104 [2,4,1,6,5,3] => 100 [2,4,3,1,5,6] => 85 [2,4,3,1,6,5] => 100 [2,4,3,5,1,6] => 93 [2,4,3,5,6,1] => 86 [2,4,3,6,1,5] => 100 [2,4,3,6,5,1] => 92 [2,4,5,1,3,6] => 93 [2,4,5,1,6,3] => 98 [2,4,5,3,1,6] => 89 [2,4,5,3,6,1] => 90 [2,4,5,6,1,3] => 90 [2,4,5,6,3,1] => 76 [2,4,6,1,3,5] => 96 [2,4,6,1,5,3] => 100 [2,4,6,3,1,5] => 92 [2,4,6,3,5,1] => 92 [2,4,6,5,1,3] => 90 [2,4,6,5,3,1] => 76 [2,5,1,3,4,6] => 85 [2,5,1,3,6,4] => 97 [2,5,1,4,3,6] => 99 [2,5,1,4,6,3] => 100 [2,5,1,6,3,4] => 105 [2,5,1,6,4,3] => 100 [2,5,3,1,4,6] => 89 [2,5,3,1,6,4] => 101 [2,5,3,4,1,6] => 95 [2,5,3,4,6,1] => 92 [2,5,3,6,1,4] => 101 [2,5,3,6,4,1] => 92 [2,5,4,1,3,6] => 91 [2,5,4,1,6,3] => 100 [2,5,4,3,1,6] => 87 [2,5,4,3,6,1] => 92 [2,5,4,6,1,3] => 100 [2,5,4,6,3,1] => 86 [2,5,6,1,3,4] => 97 [2,5,6,1,4,3] => 100 [2,5,6,3,1,4] => 93 [2,5,6,3,4,1] => 92 [2,5,6,4,1,3] => 88 [2,5,6,4,3,1] => 74 [2,6,1,3,4,5] => 86 [2,6,1,3,5,4] => 97 [2,6,1,4,3,5] => 100 [2,6,1,4,5,3] => 100 [2,6,1,5,3,4] => 103 [2,6,1,5,4,3] => 98 [2,6,3,1,4,5] => 90 [2,6,3,1,5,4] => 101 [2,6,3,4,1,5] => 96 [2,6,3,4,5,1] => 92 [2,6,3,5,1,4] => 99 [2,6,3,5,4,1] => 90 [2,6,4,1,3,5] => 92 [2,6,4,1,5,3] => 100 [2,6,4,3,1,5] => 88 [2,6,4,3,5,1] => 92 [2,6,4,5,1,3] => 98 [2,6,4,5,3,1] => 84 [2,6,5,1,3,4] => 91 [2,6,5,1,4,3] => 94 [2,6,5,3,1,4] => 87 [2,6,5,3,4,1] => 86 [2,6,5,4,1,3] => 82 [2,6,5,4,3,1] => 68 [3,1,2,4,5,6] => 64 [3,1,2,4,6,5] => 79 [3,1,2,5,4,6] => 86 [3,1,2,5,6,4] => 86 [3,1,2,6,4,5] => 93 [3,1,2,6,5,4] => 92 [3,1,4,2,5,6] => 84 [3,1,4,2,6,5] => 99 [3,1,4,5,2,6] => 90 [3,1,4,5,6,2] => 82 [3,1,4,6,2,5] => 97 [3,1,4,6,5,2] => 88 [3,1,5,2,4,6] => 94 [3,1,5,2,6,4] => 102 [3,1,5,4,2,6] => 98 [3,1,5,4,6,2] => 98 [3,1,5,6,2,4] => 100 [3,1,5,6,4,2] => 90 [3,1,6,2,4,5] => 97 [3,1,6,2,5,4] => 104 [3,1,6,4,2,5] => 101 [3,1,6,4,5,2] => 100 [3,1,6,5,2,4] => 100 [3,1,6,5,4,2] => 90 [3,2,1,4,5,6] => 70 [3,2,1,4,6,5] => 85 [3,2,1,5,4,6] => 92 [3,2,1,5,6,4] => 92 [3,2,1,6,4,5] => 99 [3,2,1,6,5,4] => 98 [3,2,4,1,5,6] => 86 [3,2,4,1,6,5] => 101 [3,2,4,5,1,6] => 90 [3,2,4,5,6,1] => 81 [3,2,4,6,1,5] => 97 [3,2,4,6,5,1] => 87 [3,2,5,1,4,6] => 96 [3,2,5,1,6,4] => 104 [3,2,5,4,1,6] => 98 [3,2,5,4,6,1] => 97 [3,2,5,6,1,4] => 100 [3,2,5,6,4,1] => 89 [3,2,6,1,4,5] => 99 [3,2,6,1,5,4] => 106 [3,2,6,4,1,5] => 101 [3,2,6,4,5,1] => 99 [3,2,6,5,1,4] => 100 [3,2,6,5,4,1] => 89 [3,4,1,2,5,6] => 84 [3,4,1,2,6,5] => 99 [3,4,1,5,2,6] => 98 [3,4,1,5,6,2] => 94 [3,4,1,6,2,5] => 105 [3,4,1,6,5,2] => 100 [3,4,2,1,5,6] => 84 [3,4,2,1,6,5] => 99 [3,4,2,5,1,6] => 96 [3,4,2,5,6,1] => 91 [3,4,2,6,1,5] => 103 [3,4,2,6,5,1] => 97 [3,4,5,1,2,6] => 94 [3,4,5,1,6,2] => 98 [3,4,5,2,1,6] => 88 [3,4,5,2,6,1] => 91 [3,4,5,6,1,2] => 90 [3,4,5,6,2,1] => 75 [3,4,6,1,2,5] => 97 [3,4,6,1,5,2] => 100 [3,4,6,2,1,5] => 91 [3,4,6,2,5,1] => 93 [3,4,6,5,1,2] => 90 [3,4,6,5,2,1] => 75 [3,5,1,2,4,6] => 88 [3,5,1,2,6,4] => 100 [3,5,1,4,2,6] => 100 [3,5,1,4,6,2] => 100 [3,5,1,6,2,4] => 106 [3,5,1,6,4,2] => 100 [3,5,2,1,4,6] => 88 [3,5,2,1,6,4] => 100 [3,5,2,4,1,6] => 98 [3,5,2,4,6,1] => 97 [3,5,2,6,1,4] => 104 [3,5,2,6,4,1] => 97 [3,5,4,1,2,6] => 92 [3,5,4,1,6,2] => 100 [3,5,4,2,1,6] => 86 [3,5,4,2,6,1] => 93 [3,5,4,6,1,2] => 100 [3,5,4,6,2,1] => 85 [3,5,6,1,2,4] => 98 [3,5,6,1,4,2] => 100 [3,5,6,2,1,4] => 92 [3,5,6,2,4,1] => 93 [3,5,6,4,1,2] => 88 [3,5,6,4,2,1] => 73 [3,6,1,2,4,5] => 89 [3,6,1,2,5,4] => 100 [3,6,1,4,2,5] => 101 [3,6,1,4,5,2] => 100 [3,6,1,5,2,4] => 104 [3,6,1,5,4,2] => 98 [3,6,2,1,4,5] => 89 [3,6,2,1,5,4] => 100 [3,6,2,4,1,5] => 99 [3,6,2,4,5,1] => 97 [3,6,2,5,1,4] => 102 [3,6,2,5,4,1] => 95 [3,6,4,1,2,5] => 93 [3,6,4,1,5,2] => 100 [3,6,4,2,1,5] => 87 [3,6,4,2,5,1] => 93 [3,6,4,5,1,2] => 98 [3,6,4,5,2,1] => 83 [3,6,5,1,2,4] => 92 [3,6,5,1,4,2] => 94 [3,6,5,2,1,4] => 86 [3,6,5,2,4,1] => 87 [3,6,5,4,1,2] => 82 [3,6,5,4,2,1] => 67 [4,1,2,3,5,6] => 67 [4,1,2,3,6,5] => 82 [4,1,2,5,3,6] => 87 [4,1,2,5,6,3] => 86 [4,1,2,6,3,5] => 94 [4,1,2,6,5,3] => 92 [4,1,3,2,5,6] => 83 [4,1,3,2,6,5] => 98 [4,1,3,5,2,6] => 93 [4,1,3,5,6,2] => 87 [4,1,3,6,2,5] => 100 [4,1,3,6,5,2] => 93 [4,1,5,2,3,6] => 95 [4,1,5,2,6,3] => 102 [4,1,5,3,2,6] => 97 [4,1,5,3,6,2] => 99 [4,1,5,6,2,3] => 100 [4,1,5,6,3,2] => 89 [4,1,6,2,3,5] => 98 [4,1,6,2,5,3] => 104 [4,1,6,3,2,5] => 100 [4,1,6,3,5,2] => 101 [4,1,6,5,2,3] => 100 [4,1,6,5,3,2] => 89 [4,2,1,3,5,6] => 73 [4,2,1,3,6,5] => 88 [4,2,1,5,3,6] => 93 [4,2,1,5,6,3] => 92 [4,2,1,6,3,5] => 100 [4,2,1,6,5,3] => 98 [4,2,3,1,5,6] => 85 [4,2,3,1,6,5] => 100 [4,2,3,5,1,6] => 93 [4,2,3,5,6,1] => 86 [4,2,3,6,1,5] => 100 [4,2,3,6,5,1] => 92 [4,2,5,1,3,6] => 97 [4,2,5,1,6,3] => 104 [4,2,5,3,1,6] => 97 [4,2,5,3,6,1] => 98 [4,2,5,6,1,3] => 100 [4,2,5,6,3,1] => 88 [4,2,6,1,3,5] => 100 [4,2,6,1,5,3] => 106 [4,2,6,3,1,5] => 100 [4,2,6,3,5,1] => 100 [4,2,6,5,1,3] => 100 [4,2,6,5,3,1] => 88 [4,3,1,2,5,6] => 75 [4,3,1,2,6,5] => 90 [4,3,1,5,2,6] => 93 [4,3,1,5,6,2] => 91 [4,3,1,6,2,5] => 100 [4,3,1,6,5,2] => 97 [4,3,2,1,5,6] => 75 [4,3,2,1,6,5] => 90 [4,3,2,5,1,6] => 91 [4,3,2,5,6,1] => 88 [4,3,2,6,1,5] => 98 [4,3,2,6,5,1] => 94 [4,3,5,1,2,6] => 97 [4,3,5,1,6,2] => 103 [4,3,5,2,1,6] => 91 [4,3,5,2,6,1] => 96 [4,3,5,6,1,2] => 99 [4,3,5,6,2,1] => 84 [4,3,6,1,2,5] => 100 [4,3,6,1,5,2] => 105 [4,3,6,2,1,5] => 94 [4,3,6,2,5,1] => 98 [4,3,6,5,1,2] => 99 [4,3,6,5,2,1] => 84 [4,5,1,2,3,6] => 89 [4,5,1,2,6,3] => 100 [4,5,1,3,2,6] => 99 [4,5,1,3,6,2] => 101 [4,5,1,6,2,3] => 106 [4,5,1,6,3,2] => 99 [4,5,2,1,3,6] => 89 [4,5,2,1,6,3] => 100 [4,5,2,3,1,6] => 97 [4,5,2,3,6,1] => 98 [4,5,2,6,1,3] => 104 [4,5,2,6,3,1] => 96 [4,5,3,1,2,6] => 87 [4,5,3,1,6,2] => 97 [4,5,3,2,1,6] => 81 [4,5,3,2,6,1] => 90 [4,5,3,6,1,2] => 101 [4,5,3,6,2,1] => 86 [4,5,6,1,2,3] => 98 [4,5,6,1,3,2] => 99 [4,5,6,2,1,3] => 92 [4,5,6,2,3,1] => 92 [4,5,6,3,1,2] => 85 [4,5,6,3,2,1] => 70 [4,6,1,2,3,5] => 90 [4,6,1,2,5,3] => 100 [4,6,1,3,2,5] => 100 [4,6,1,3,5,2] => 101 [4,6,1,5,2,3] => 104 [4,6,1,5,3,2] => 97 [4,6,2,1,3,5] => 90 [4,6,2,1,5,3] => 100 [4,6,2,3,1,5] => 98 [4,6,2,3,5,1] => 98 [4,6,2,5,1,3] => 102 [4,6,2,5,3,1] => 94 [4,6,3,1,2,5] => 88 [4,6,3,1,5,2] => 97 [4,6,3,2,1,5] => 82 [4,6,3,2,5,1] => 90 [4,6,3,5,1,2] => 99 [4,6,3,5,2,1] => 84 [4,6,5,1,2,3] => 92 [4,6,5,1,3,2] => 93 [4,6,5,2,1,3] => 86 [4,6,5,2,3,1] => 86 [4,6,5,3,1,2] => 79 [4,6,5,3,2,1] => 64 [5,1,2,3,4,6] => 68 [5,1,2,3,6,4] => 82 [5,1,2,4,3,6] => 86 [5,1,2,4,6,3] => 87 [5,1,2,6,3,4] => 94 [5,1,2,6,4,3] => 91 [5,1,3,2,4,6] => 84 [5,1,3,2,6,4] => 98 [5,1,3,4,2,6] => 92 [5,1,3,4,6,2] => 88 [5,1,3,6,2,4] => 100 [5,1,3,6,4,2] => 92 [5,1,4,2,3,6] => 90 [5,1,4,2,6,3] => 99 [5,1,4,3,2,6] => 92 [5,1,4,3,6,2] => 96 [5,1,4,6,2,3] => 101 [5,1,4,6,3,2] => 90 [5,1,6,2,3,4] => 98 [5,1,6,2,4,3] => 103 [5,1,6,3,2,4] => 100 [5,1,6,3,4,2] => 100 [5,1,6,4,2,3] => 97 [5,1,6,4,3,2] => 86 [5,2,1,3,4,6] => 74 [5,2,1,3,6,4] => 88 [5,2,1,4,3,6] => 92 [5,2,1,4,6,3] => 93 [5,2,1,6,3,4] => 100 [5,2,1,6,4,3] => 97 [5,2,3,1,4,6] => 86 [5,2,3,1,6,4] => 100 [5,2,3,4,1,6] => 92 [5,2,3,4,6,1] => 87 [5,2,3,6,1,4] => 100 [5,2,3,6,4,1] => 91 [5,2,4,1,3,6] => 92 [5,2,4,1,6,3] => 101 [5,2,4,3,1,6] => 92 [5,2,4,3,6,1] => 95 [5,2,4,6,1,3] => 101 [5,2,4,6,3,1] => 89 [5,2,6,1,3,4] => 100 [5,2,6,1,4,3] => 105 [5,2,6,3,1,4] => 100 [5,2,6,3,4,1] => 99 [5,2,6,4,1,3] => 97 [5,2,6,4,3,1] => 85 [5,3,1,2,4,6] => 76 [5,3,1,2,6,4] => 90 [5,3,1,4,2,6] => 92 [5,3,1,4,6,2] => 92 [5,3,1,6,2,4] => 100 [5,3,1,6,4,2] => 96 [5,3,2,1,4,6] => 76 [5,3,2,1,6,4] => 90 [5,3,2,4,1,6] => 90 [5,3,2,4,6,1] => 89 [5,3,2,6,1,4] => 98 [5,3,2,6,4,1] => 93 [5,3,4,1,2,6] => 92 [5,3,4,1,6,2] => 100 [5,3,4,2,1,6] => 86 [5,3,4,2,6,1] => 93 [5,3,4,6,1,2] => 100 [5,3,4,6,2,1] => 85 [5,3,6,1,2,4] => 100 [5,3,6,1,4,2] => 104 [5,3,6,2,1,4] => 94 [5,3,6,2,4,1] => 97 [5,3,6,4,1,2] => 96 [5,3,6,4,2,1] => 81 [5,4,1,2,3,6] => 76 [5,4,1,2,6,3] => 89 [5,4,1,3,2,6] => 86 [5,4,1,3,6,2] => 90 [5,4,1,6,2,3] => 99 [5,4,1,6,3,2] => 92 [5,4,2,1,3,6] => 76 [5,4,2,1,6,3] => 89 [5,4,2,3,1,6] => 84 [5,4,2,3,6,1] => 87 [5,4,2,6,1,3] => 97 [5,4,2,6,3,1] => 89 [5,4,3,1,2,6] => 74 [5,4,3,1,6,2] => 86 [5,4,3,2,1,6] => 68 [5,4,3,2,6,1] => 79 [5,4,3,6,1,2] => 94 [5,4,3,6,2,1] => 79 [5,4,6,1,2,3] => 99 [5,4,6,1,3,2] => 100 [5,4,6,2,1,3] => 93 [5,4,6,2,3,1] => 93 [5,4,6,3,1,2] => 86 [5,4,6,3,2,1] => 71 [5,6,1,2,3,4] => 90 [5,6,1,2,4,3] => 99 [5,6,1,3,2,4] => 100 [5,6,1,3,4,2] => 100 [5,6,1,4,2,3] => 101 [5,6,1,4,3,2] => 94 [5,6,2,1,3,4] => 90 [5,6,2,1,4,3] => 99 [5,6,2,3,1,4] => 98 [5,6,2,3,4,1] => 97 [5,6,2,4,1,3] => 99 [5,6,2,4,3,1] => 91 [5,6,3,1,2,4] => 88 [5,6,3,1,4,2] => 96 [5,6,3,2,1,4] => 82 [5,6,3,2,4,1] => 89 [5,6,3,4,1,2] => 96 [5,6,3,4,2,1] => 81 [5,6,4,1,2,3] => 85 [5,6,4,1,3,2] => 86 [5,6,4,2,1,3] => 79 [5,6,4,2,3,1] => 79 [5,6,4,3,1,2] => 72 [5,6,4,3,2,1] => 57 [6,1,2,3,4,5] => 68 [6,1,2,3,5,4] => 81 [6,1,2,4,3,5] => 86 [6,1,2,4,5,3] => 86 [6,1,2,5,3,4] => 91 [6,1,2,5,4,3] => 88 [6,1,3,2,4,5] => 84 [6,1,3,2,5,4] => 97 [6,1,3,4,2,5] => 92 [6,1,3,4,5,2] => 87 [6,1,3,5,2,4] => 97 [6,1,3,5,4,2] => 89 [6,1,4,2,3,5] => 90 [6,1,4,2,5,3] => 98 [6,1,4,3,2,5] => 92 [6,1,4,3,5,2] => 95 [6,1,4,5,2,3] => 98 [6,1,4,5,3,2] => 87 [6,1,5,2,3,4] => 91 [6,1,5,2,4,3] => 96 [6,1,5,3,2,4] => 93 [6,1,5,3,4,2] => 93 [6,1,5,4,2,3] => 90 [6,1,5,4,3,2] => 79 [6,2,1,3,4,5] => 74 [6,2,1,3,5,4] => 87 [6,2,1,4,3,5] => 92 [6,2,1,4,5,3] => 92 [6,2,1,5,3,4] => 97 [6,2,1,5,4,3] => 94 [6,2,3,1,4,5] => 86 [6,2,3,1,5,4] => 99 [6,2,3,4,1,5] => 92 [6,2,3,4,5,1] => 86 [6,2,3,5,1,4] => 97 [6,2,3,5,4,1] => 88 [6,2,4,1,3,5] => 92 [6,2,4,1,5,3] => 100 [6,2,4,3,1,5] => 92 [6,2,4,3,5,1] => 94 [6,2,4,5,1,3] => 98 [6,2,4,5,3,1] => 86 [6,2,5,1,3,4] => 93 [6,2,5,1,4,3] => 98 [6,2,5,3,1,4] => 93 [6,2,5,3,4,1] => 92 [6,2,5,4,1,3] => 90 [6,2,5,4,3,1] => 78 [6,3,1,2,4,5] => 76 [6,3,1,2,5,4] => 89 [6,3,1,4,2,5] => 92 [6,3,1,4,5,2] => 91 [6,3,1,5,2,4] => 97 [6,3,1,5,4,2] => 93 [6,3,2,1,4,5] => 76 [6,3,2,1,5,4] => 89 [6,3,2,4,1,5] => 90 [6,3,2,4,5,1] => 88 [6,3,2,5,1,4] => 95 [6,3,2,5,4,1] => 90 [6,3,4,1,2,5] => 92 [6,3,4,1,5,2] => 99 [6,3,4,2,1,5] => 86 [6,3,4,2,5,1] => 92 [6,3,4,5,1,2] => 97 [6,3,4,5,2,1] => 82 [6,3,5,1,2,4] => 93 [6,3,5,1,4,2] => 97 [6,3,5,2,1,4] => 87 [6,3,5,2,4,1] => 90 [6,3,5,4,1,2] => 89 [6,3,5,4,2,1] => 74 [6,4,1,2,3,5] => 76 [6,4,1,2,5,3] => 88 [6,4,1,3,2,5] => 86 [6,4,1,3,5,2] => 89 [6,4,1,5,2,3] => 96 [6,4,1,5,3,2] => 89 [6,4,2,1,3,5] => 76 [6,4,2,1,5,3] => 88 [6,4,2,3,1,5] => 84 [6,4,2,3,5,1] => 86 [6,4,2,5,1,3] => 94 [6,4,2,5,3,1] => 86 [6,4,3,1,2,5] => 74 [6,4,3,1,5,2] => 85 [6,4,3,2,1,5] => 68 [6,4,3,2,5,1] => 78 [6,4,3,5,1,2] => 91 [6,4,3,5,2,1] => 76 [6,4,5,1,2,3] => 92 [6,4,5,1,3,2] => 93 [6,4,5,2,1,3] => 86 [6,4,5,2,3,1] => 86 [6,4,5,3,1,2] => 79 [6,4,5,3,2,1] => 64 [6,5,1,2,3,4] => 75 [6,5,1,2,4,3] => 84 [6,5,1,3,2,4] => 85 [6,5,1,3,4,2] => 85 [6,5,1,4,2,3] => 86 [6,5,1,4,3,2] => 79 [6,5,2,1,3,4] => 75 [6,5,2,1,4,3] => 84 [6,5,2,3,1,4] => 83 [6,5,2,3,4,1] => 82 [6,5,2,4,1,3] => 84 [6,5,2,4,3,1] => 76 [6,5,3,1,2,4] => 73 [6,5,3,1,4,2] => 81 [6,5,3,2,1,4] => 67 [6,5,3,2,4,1] => 74 [6,5,3,4,1,2] => 81 [6,5,3,4,2,1] => 66 [6,5,4,1,2,3] => 70 [6,5,4,1,3,2] => 71 [6,5,4,2,1,3] => 64 [6,5,4,2,3,1] => 64 [6,5,4,3,1,2] => 57 [6,5,4,3,2,1] => 42 [1,2,3,4,5,6,7] => 99 [1,2,3,4,5,7,6] => 130 [1,2,3,4,6,5,7] => 145 [1,2,3,4,6,7,5] => 145 [1,2,3,4,7,5,6] => 160 [1,2,3,4,7,6,5] => 159 [1,2,3,5,4,6,7] => 151 [1,2,3,5,4,7,6] => 182 [1,2,3,5,6,4,7] => 167 [1,2,3,5,6,7,4] => 152 [1,2,3,5,7,4,6] => 182 [1,2,3,5,7,6,4] => 166 [1,2,3,6,4,5,7] => 173 [1,2,3,6,4,7,5] => 189 [1,2,3,6,5,4,7] => 187 [1,2,3,6,5,7,4] => 188 [1,2,3,6,7,4,5] => 189 [1,2,3,6,7,5,4] => 172 [1,2,3,7,4,5,6] => 180 [1,2,3,7,4,6,5] => 195 [1,2,3,7,5,4,6] => 194 [1,2,3,7,5,6,4] => 194 [1,2,3,7,6,4,5] => 193 [1,2,3,7,6,5,4] => 176 [1,2,4,3,5,6,7] => 151 [1,2,4,3,5,7,6] => 182 [1,2,4,3,6,5,7] => 197 [1,2,4,3,6,7,5] => 197 [1,2,4,3,7,5,6] => 212 [1,2,4,3,7,6,5] => 211 [1,2,4,5,3,6,7] => 175 [1,2,4,5,3,7,6] => 206 [1,2,4,5,6,3,7] => 177 [1,2,4,5,6,7,3] => 155 [1,2,4,5,7,3,6] => 192 [1,2,4,5,7,6,3] => 169 [1,2,4,6,3,5,7] => 197 [1,2,4,6,3,7,5] => 213 [1,2,4,6,5,3,7] => 197 [1,2,4,6,5,7,3] => 191 [1,2,4,6,7,3,5] => 199 [1,2,4,6,7,5,3] => 175 [1,2,4,7,3,5,6] => 204 [1,2,4,7,3,6,5] => 219 [1,2,4,7,5,3,6] => 204 [1,2,4,7,5,6,3] => 197 [1,2,4,7,6,3,5] => 203 [1,2,4,7,6,5,3] => 179 [1,2,5,3,4,6,7] => 175 [1,2,5,3,4,7,6] => 206 [1,2,5,3,6,4,7] => 207 [1,2,5,3,6,7,4] => 200 [1,2,5,3,7,4,6] => 222 [1,2,5,3,7,6,4] => 214 [1,2,5,4,3,6,7] => 195 [1,2,5,4,3,7,6] => 226 [1,2,5,4,6,3,7] => 213 [1,2,5,4,6,7,3] => 199 [1,2,5,4,7,3,6] => 228 [1,2,5,4,7,6,3] => 213 [1,2,5,6,3,4,7] => 207 [1,2,5,6,3,7,4] => 216 [1,2,5,6,4,3,7] => 205 [1,2,5,6,4,7,3] => 207 [1,2,5,6,7,3,4] => 202 [1,2,5,6,7,4,3] => 177 [1,2,5,7,3,4,6] => 214 [1,2,5,7,3,6,4] => 222 [1,2,5,7,4,3,6] => 212 [1,2,5,7,4,6,3] => 213 [1,2,5,7,6,3,4] => 206 [1,2,5,7,6,4,3] => 181 [1,2,6,3,4,5,7] => 185 [1,2,6,3,4,7,5] => 209 [1,2,6,3,5,4,7] => 215 [1,2,6,3,5,7,4] => 216 [1,2,6,3,7,4,5] => 225 [1,2,6,3,7,5,4] => 216 [1,2,6,4,3,5,7] => 205 [1,2,6,4,3,7,5] => 229 [1,2,6,4,5,3,7] => 221 [1,2,6,4,5,7,3] => 215 [1,2,6,4,7,3,5] => 231 [1,2,6,4,7,5,3] => 215 [1,2,6,5,3,4,7] => 211 [1,2,6,5,3,7,4] => 228 [1,2,6,5,4,3,7] => 209 [1,2,6,5,4,7,3] => 219 [1,2,6,5,7,3,4] => 230 [1,2,6,5,7,4,3] => 205 [1,2,6,7,3,4,5] => 217 [1,2,6,7,3,5,4] => 224 [1,2,6,7,4,3,5] => 215 [1,2,6,7,4,5,3] => 215 [1,2,6,7,5,3,4] => 206 [1,2,6,7,5,4,3] => 181 [1,2,7,3,4,5,6] => 188 [1,2,7,3,4,6,5] => 211 [1,2,7,3,5,4,6] => 218 [1,2,7,3,5,6,4] => 218 [1,2,7,3,6,4,5] => 225 [1,2,7,3,6,5,4] => 216 [1,2,7,4,3,5,6] => 208 [1,2,7,4,3,6,5] => 231 [1,2,7,4,5,3,6] => 224 [1,2,7,4,5,6,3] => 217 [1,2,7,4,6,3,5] => 231 [1,2,7,4,6,5,3] => 215 [1,2,7,5,3,4,6] => 214 [1,2,7,5,3,6,4] => 230 [1,2,7,5,4,3,6] => 212 [1,2,7,5,4,6,3] => 221 [1,2,7,5,6,3,4] => 230 [1,2,7,5,6,4,3] => 205 [1,2,7,6,3,4,5] => 213 [1,2,7,6,3,5,4] => 220 [1,2,7,6,4,3,5] => 211 [1,2,7,6,4,5,3] => 211 [1,2,7,6,5,3,4] => 202 [1,2,7,6,5,4,3] => 177 [1,3,2,4,5,6,7] => 145 [1,3,2,4,5,7,6] => 176 [1,3,2,4,6,5,7] => 191 [1,3,2,4,6,7,5] => 191 [1,3,2,4,7,5,6] => 206 [1,3,2,4,7,6,5] => 205 [1,3,2,5,4,6,7] => 197 [1,3,2,5,4,7,6] => 228 [1,3,2,5,6,4,7] => 213 [1,3,2,5,6,7,4] => 198 [1,3,2,5,7,4,6] => 228 [1,3,2,5,7,6,4] => 212 [1,3,2,6,4,5,7] => 219 [1,3,2,6,4,7,5] => 235 [1,3,2,6,5,4,7] => 233 [1,3,2,6,5,7,4] => 234 [1,3,2,6,7,4,5] => 235 [1,3,2,6,7,5,4] => 218 [1,3,2,7,4,5,6] => 226 [1,3,2,7,4,6,5] => 241 [1,3,2,7,5,4,6] => 240 [1,3,2,7,5,6,4] => 240 [1,3,2,7,6,4,5] => 239 [1,3,2,7,6,5,4] => 222 [1,3,4,2,5,6,7] => 173 [1,3,4,2,5,7,6] => 204 [1,3,4,2,6,5,7] => 219 [1,3,4,2,6,7,5] => 219 [1,3,4,2,7,5,6] => 234 [1,3,4,2,7,6,5] => 233 [1,3,4,5,2,6,7] => 185 [1,3,4,5,2,7,6] => 216 [1,3,4,5,6,2,7] => 181 [1,3,4,5,6,7,2] => 156 [1,3,4,5,7,2,6] => 196 [1,3,4,5,7,6,2] => 170 [1,3,4,6,2,5,7] => 207 [1,3,4,6,2,7,5] => 223 [1,3,4,6,5,2,7] => 201 [1,3,4,6,5,7,2] => 192 [1,3,4,6,7,2,5] => 203 [1,3,4,6,7,5,2] => 176 [1,3,4,7,2,5,6] => 214 [1,3,4,7,2,6,5] => 229 [1,3,4,7,5,2,6] => 208 [1,3,4,7,5,6,2] => 198 [1,3,4,7,6,2,5] => 207 [1,3,4,7,6,5,2] => 180 [1,3,5,2,4,6,7] => 197 [1,3,5,2,4,7,6] => 228 [1,3,5,2,6,4,7] => 229 [1,3,5,2,6,7,4] => 222 [1,3,5,2,7,4,6] => 244 [1,3,5,2,7,6,4] => 236 [1,3,5,4,2,6,7] => 205 [1,3,5,4,2,7,6] => 236 [1,3,5,4,6,2,7] => 217 [1,3,5,4,6,7,2] => 200 [1,3,5,4,7,2,6] => 232 [1,3,5,4,7,6,2] => 214 [1,3,5,6,2,4,7] => 217 [1,3,5,6,2,7,4] => 226 [1,3,5,6,4,2,7] => 209 [1,3,5,6,4,7,2] => 208 [1,3,5,6,7,2,4] => 206 [1,3,5,6,7,4,2] => 178 [1,3,5,7,2,4,6] => 224 [1,3,5,7,2,6,4] => 232 [1,3,5,7,4,2,6] => 216 [1,3,5,7,4,6,2] => 214 [1,3,5,7,6,2,4] => 210 [1,3,5,7,6,4,2] => 182 [1,3,6,2,4,5,7] => 207 [1,3,6,2,4,7,5] => 231 [1,3,6,2,5,4,7] => 237 [1,3,6,2,5,7,4] => 238 [1,3,6,2,7,4,5] => 247 [1,3,6,2,7,5,4] => 238 [1,3,6,4,2,5,7] => 215 [1,3,6,4,2,7,5] => 239 [1,3,6,4,5,2,7] => 225 [1,3,6,4,5,7,2] => 216 [1,3,6,4,7,2,5] => 235 [1,3,6,4,7,5,2] => 216 [1,3,6,5,2,4,7] => 221 [1,3,6,5,2,7,4] => 238 [1,3,6,5,4,2,7] => 213 [1,3,6,5,4,7,2] => 220 [1,3,6,5,7,2,4] => 234 [1,3,6,5,7,4,2] => 206 [1,3,6,7,2,4,5] => 227 [1,3,6,7,2,5,4] => 234 [1,3,6,7,4,2,5] => 219 [1,3,6,7,4,5,2] => 216 [1,3,6,7,5,2,4] => 210 [1,3,6,7,5,4,2] => 182 [1,3,7,2,4,5,6] => 210 [1,3,7,2,4,6,5] => 233 [1,3,7,2,5,4,6] => 240 [1,3,7,2,5,6,4] => 240 [1,3,7,2,6,4,5] => 247 [1,3,7,2,6,5,4] => 238 [1,3,7,4,2,5,6] => 218 [1,3,7,4,2,6,5] => 241 [1,3,7,4,5,2,6] => 228 [1,3,7,4,5,6,2] => 218 [1,3,7,4,6,2,5] => 235 [1,3,7,4,6,5,2] => 216 [1,3,7,5,2,4,6] => 224 [1,3,7,5,2,6,4] => 240 [1,3,7,5,4,2,6] => 216 [1,3,7,5,4,6,2] => 222 [1,3,7,5,6,2,4] => 234 [1,3,7,5,6,4,2] => 206 [1,3,7,6,2,4,5] => 223 [1,3,7,6,2,5,4] => 230 [1,3,7,6,4,2,5] => 215 [1,3,7,6,4,5,2] => 212 [1,3,7,6,5,2,4] => 206 [1,3,7,6,5,4,2] => 178 [1,4,2,3,5,6,7] => 167 [1,4,2,3,5,7,6] => 198 [1,4,2,3,6,5,7] => 213 [1,4,2,3,6,7,5] => 213 [1,4,2,3,7,5,6] => 228 [1,4,2,3,7,6,5] => 227 [1,4,2,5,3,6,7] => 207 [1,4,2,5,3,7,6] => 238 [1,4,2,5,6,3,7] => 217 [1,4,2,5,6,7,3] => 199 [1,4,2,5,7,3,6] => 232 [1,4,2,5,7,6,3] => 213 [1,4,2,6,3,5,7] => 229 [1,4,2,6,3,7,5] => 245 [1,4,2,6,5,3,7] => 237 [1,4,2,6,5,7,3] => 235 [1,4,2,6,7,3,5] => 239 [1,4,2,6,7,5,3] => 219 [1,4,2,7,3,5,6] => 236 [1,4,2,7,3,6,5] => 251 [1,4,2,7,5,3,6] => 244 [1,4,2,7,5,6,3] => 241 [1,4,2,7,6,3,5] => 243 [1,4,2,7,6,5,3] => 223 [1,4,3,2,5,6,7] => 187 [1,4,3,2,5,7,6] => 218 [1,4,3,2,6,5,7] => 233 [1,4,3,2,6,7,5] => 233 [1,4,3,2,7,5,6] => 248 [1,4,3,2,7,6,5] => 247 [1,4,3,5,2,6,7] => 215 [1,4,3,5,2,7,6] => 246 [1,4,3,5,6,2,7] => 219 [1,4,3,5,6,7,2] => 198 [1,4,3,5,7,2,6] => 234 [1,4,3,5,7,6,2] => 212 [1,4,3,6,2,5,7] => 237 [1,4,3,6,2,7,5] => 253 [1,4,3,6,5,2,7] => 239 [1,4,3,6,5,7,2] => 234 [1,4,3,6,7,2,5] => 241 [1,4,3,6,7,5,2] => 218 [1,4,3,7,2,5,6] => 244 [1,4,3,7,2,6,5] => 259 [1,4,3,7,5,2,6] => 246 [1,4,3,7,5,6,2] => 240 [1,4,3,7,6,2,5] => 245 [1,4,3,7,6,5,2] => 222 [1,4,5,2,3,6,7] => 207 [1,4,5,2,3,7,6] => 238 [1,4,5,2,6,3,7] => 233 [1,4,5,2,6,7,3] => 223 [1,4,5,2,7,3,6] => 248 [1,4,5,2,7,6,3] => 237 [1,4,5,3,2,6,7] => 211 [1,4,5,3,2,7,6] => 242 [1,4,5,3,6,2,7] => 231 [1,4,5,3,6,7,2] => 218 [1,4,5,3,7,2,6] => 246 [1,4,5,3,7,6,2] => 232 [1,4,5,6,2,3,7] => 221 [1,4,5,6,2,7,3] => 227 [1,4,5,6,3,2,7] => 211 [1,4,5,6,3,7,2] => 214 [1,4,5,6,7,2,3] => 207 [1,4,5,6,7,3,2] => 178 [1,4,5,7,2,3,6] => 228 [1,4,5,7,2,6,3] => 233 [1,4,5,7,3,2,6] => 218 [1,4,5,7,3,6,2] => 220 [1,4,5,7,6,2,3] => 211 [1,4,5,7,6,3,2] => 182 [1,4,6,2,3,5,7] => 217 [1,4,6,2,3,7,5] => 241 [1,4,6,2,5,3,7] => 241 [1,4,6,2,5,7,3] => 239 [1,4,6,2,7,3,5] => 251 [1,4,6,2,7,5,3] => 239 [1,4,6,3,2,5,7] => 221 [1,4,6,3,2,7,5] => 245 [1,4,6,3,5,2,7] => 239 [1,4,6,3,5,7,2] => 234 [1,4,6,3,7,2,5] => 249 [1,4,6,3,7,5,2] => 234 [1,4,6,5,2,3,7] => 225 [1,4,6,5,2,7,3] => 239 [1,4,6,5,3,2,7] => 215 [1,4,6,5,3,7,2] => 226 ----------------------------------------------------------------------------- Created: May 10, 2016 at 15:02 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: May 10, 2019 at 17:38 by Henning Ulfarsson