***************************************************************************** * 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: St000342 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The cosine of a permutation. For a permutation $\pi = [\pi_1,\ldots,\pi_n]$, this is given by $\sum_{i=1}^n (i\pi_i)$. The name comes from the observation that this equals $\frac{n(n+1)(2n+1)}{6}\cos(\theta)$ where $\theta$ is the angle between the vector $(\pi_1,\ldots,\pi_n)$ and the vector $(1,\ldots,n)$, see [1]. ----------------------------------------------------------------------------- References: [1] Sack, J., Úlfarsson, H. Refined inversion statistics on permutations [[MathSciNet:2880660]] [[arXiv:1106.1995]] [2] a(n) = the total number of permutations (m(1),m(2),m(3)...m(j)) of (1,2,3,...,j) where n = 1*m(1) + 2*m(2) + 3*m(3) + ...+j*m(j), where j is over all positive integers. [[OEIS:A135298]] ----------------------------------------------------------------------------- Code: def statistic(pi): return sum( (i+1)*val for i,val in enumerate(pi) ) ----------------------------------------------------------------------------- Statistic values: [1] => 1 [1,2] => 5 [2,1] => 4 [1,2,3] => 14 [1,3,2] => 13 [2,1,3] => 13 [2,3,1] => 11 [3,1,2] => 11 [3,2,1] => 10 [1,2,3,4] => 30 [1,2,4,3] => 29 [1,3,2,4] => 29 [1,3,4,2] => 27 [1,4,2,3] => 27 [1,4,3,2] => 26 [2,1,3,4] => 29 [2,1,4,3] => 28 [2,3,1,4] => 27 [2,3,4,1] => 24 [2,4,1,3] => 25 [2,4,3,1] => 23 [3,1,2,4] => 27 [3,1,4,2] => 25 [3,2,1,4] => 26 [3,2,4,1] => 23 [3,4,1,2] => 22 [3,4,2,1] => 21 [4,1,2,3] => 24 [4,1,3,2] => 23 [4,2,1,3] => 23 [4,2,3,1] => 21 [4,3,1,2] => 21 [4,3,2,1] => 20 [1,2,3,4,5] => 55 [1,2,3,5,4] => 54 [1,2,4,3,5] => 54 [1,2,4,5,3] => 52 [1,2,5,3,4] => 52 [1,2,5,4,3] => 51 [1,3,2,4,5] => 54 [1,3,2,5,4] => 53 [1,3,4,2,5] => 52 [1,3,4,5,2] => 49 [1,3,5,2,4] => 50 [1,3,5,4,2] => 48 [1,4,2,3,5] => 52 [1,4,2,5,3] => 50 [1,4,3,2,5] => 51 [1,4,3,5,2] => 48 [1,4,5,2,3] => 47 [1,4,5,3,2] => 46 [1,5,2,3,4] => 49 [1,5,2,4,3] => 48 [1,5,3,2,4] => 48 [1,5,3,4,2] => 46 [1,5,4,2,3] => 46 [1,5,4,3,2] => 45 [2,1,3,4,5] => 54 [2,1,3,5,4] => 53 [2,1,4,3,5] => 53 [2,1,4,5,3] => 51 [2,1,5,3,4] => 51 [2,1,5,4,3] => 50 [2,3,1,4,5] => 52 [2,3,1,5,4] => 51 [2,3,4,1,5] => 49 [2,3,4,5,1] => 45 [2,3,5,1,4] => 47 [2,3,5,4,1] => 44 [2,4,1,3,5] => 50 [2,4,1,5,3] => 48 [2,4,3,1,5] => 48 [2,4,3,5,1] => 44 [2,4,5,1,3] => 44 [2,4,5,3,1] => 42 [2,5,1,3,4] => 47 [2,5,1,4,3] => 46 [2,5,3,1,4] => 45 [2,5,3,4,1] => 42 [2,5,4,1,3] => 43 [2,5,4,3,1] => 41 [3,1,2,4,5] => 52 [3,1,2,5,4] => 51 [3,1,4,2,5] => 50 [3,1,4,5,2] => 47 [3,1,5,2,4] => 48 [3,1,5,4,2] => 46 [3,2,1,4,5] => 51 [3,2,1,5,4] => 50 [3,2,4,1,5] => 48 [3,2,4,5,1] => 44 [3,2,5,1,4] => 46 [3,2,5,4,1] => 43 [3,4,1,2,5] => 47 [3,4,1,5,2] => 44 [3,4,2,1,5] => 46 [3,4,2,5,1] => 42 [3,4,5,1,2] => 40 [3,4,5,2,1] => 39 [3,5,1,2,4] => 44 [3,5,1,4,2] => 42 [3,5,2,1,4] => 43 [3,5,2,4,1] => 40 [3,5,4,1,2] => 39 [3,5,4,2,1] => 38 [4,1,2,3,5] => 49 [4,1,2,5,3] => 47 [4,1,3,2,5] => 48 [4,1,3,5,2] => 45 [4,1,5,2,3] => 44 [4,1,5,3,2] => 43 [4,2,1,3,5] => 48 [4,2,1,5,3] => 46 [4,2,3,1,5] => 46 [4,2,3,5,1] => 42 [4,2,5,1,3] => 42 [4,2,5,3,1] => 40 [4,3,1,2,5] => 46 [4,3,1,5,2] => 43 [4,3,2,1,5] => 45 [4,3,2,5,1] => 41 [4,3,5,1,2] => 39 [4,3,5,2,1] => 38 [4,5,1,2,3] => 40 [4,5,1,3,2] => 39 [4,5,2,1,3] => 39 [4,5,2,3,1] => 37 [4,5,3,1,2] => 37 [4,5,3,2,1] => 36 [5,1,2,3,4] => 45 [5,1,2,4,3] => 44 [5,1,3,2,4] => 44 [5,1,3,4,2] => 42 [5,1,4,2,3] => 42 [5,1,4,3,2] => 41 [5,2,1,3,4] => 44 [5,2,1,4,3] => 43 [5,2,3,1,4] => 42 [5,2,3,4,1] => 39 [5,2,4,1,3] => 40 [5,2,4,3,1] => 38 [5,3,1,2,4] => 42 [5,3,1,4,2] => 40 [5,3,2,1,4] => 41 [5,3,2,4,1] => 38 [5,3,4,1,2] => 37 [5,3,4,2,1] => 36 [5,4,1,2,3] => 39 [5,4,1,3,2] => 38 [5,4,2,1,3] => 38 [5,4,2,3,1] => 36 [5,4,3,1,2] => 36 [5,4,3,2,1] => 35 [1,2,3,4,5,6] => 91 [1,2,3,4,6,5] => 90 [1,2,3,5,4,6] => 90 [1,2,3,5,6,4] => 88 [1,2,3,6,4,5] => 88 [1,2,3,6,5,4] => 87 [1,2,4,3,5,6] => 90 [1,2,4,3,6,5] => 89 [1,2,4,5,3,6] => 88 [1,2,4,5,6,3] => 85 [1,2,4,6,3,5] => 86 [1,2,4,6,5,3] => 84 [1,2,5,3,4,6] => 88 [1,2,5,3,6,4] => 86 [1,2,5,4,3,6] => 87 [1,2,5,4,6,3] => 84 [1,2,5,6,3,4] => 83 [1,2,5,6,4,3] => 82 [1,2,6,3,4,5] => 85 [1,2,6,3,5,4] => 84 [1,2,6,4,3,5] => 84 [1,2,6,4,5,3] => 82 [1,2,6,5,3,4] => 82 [1,2,6,5,4,3] => 81 [1,3,2,4,5,6] => 90 [1,3,2,4,6,5] => 89 [1,3,2,5,4,6] => 89 [1,3,2,5,6,4] => 87 [1,3,2,6,4,5] => 87 [1,3,2,6,5,4] => 86 [1,3,4,2,5,6] => 88 [1,3,4,2,6,5] => 87 [1,3,4,5,2,6] => 85 [1,3,4,5,6,2] => 81 [1,3,4,6,2,5] => 83 [1,3,4,6,5,2] => 80 [1,3,5,2,4,6] => 86 [1,3,5,2,6,4] => 84 [1,3,5,4,2,6] => 84 [1,3,5,4,6,2] => 80 [1,3,5,6,2,4] => 80 [1,3,5,6,4,2] => 78 [1,3,6,2,4,5] => 83 [1,3,6,2,5,4] => 82 [1,3,6,4,2,5] => 81 [1,3,6,4,5,2] => 78 [1,3,6,5,2,4] => 79 [1,3,6,5,4,2] => 77 [1,4,2,3,5,6] => 88 [1,4,2,3,6,5] => 87 [1,4,2,5,3,6] => 86 [1,4,2,5,6,3] => 83 [1,4,2,6,3,5] => 84 [1,4,2,6,5,3] => 82 [1,4,3,2,5,6] => 87 [1,4,3,2,6,5] => 86 [1,4,3,5,2,6] => 84 [1,4,3,5,6,2] => 80 [1,4,3,6,2,5] => 82 [1,4,3,6,5,2] => 79 [1,4,5,2,3,6] => 83 [1,4,5,2,6,3] => 80 [1,4,5,3,2,6] => 82 [1,4,5,3,6,2] => 78 [1,4,5,6,2,3] => 76 [1,4,5,6,3,2] => 75 [1,4,6,2,3,5] => 80 [1,4,6,2,5,3] => 78 [1,4,6,3,2,5] => 79 [1,4,6,3,5,2] => 76 [1,4,6,5,2,3] => 75 [1,4,6,5,3,2] => 74 [1,5,2,3,4,6] => 85 [1,5,2,3,6,4] => 83 [1,5,2,4,3,6] => 84 [1,5,2,4,6,3] => 81 [1,5,2,6,3,4] => 80 [1,5,2,6,4,3] => 79 [1,5,3,2,4,6] => 84 [1,5,3,2,6,4] => 82 [1,5,3,4,2,6] => 82 [1,5,3,4,6,2] => 78 [1,5,3,6,2,4] => 78 [1,5,3,6,4,2] => 76 [1,5,4,2,3,6] => 82 [1,5,4,2,6,3] => 79 [1,5,4,3,2,6] => 81 [1,5,4,3,6,2] => 77 [1,5,4,6,2,3] => 75 [1,5,4,6,3,2] => 74 [1,5,6,2,3,4] => 76 [1,5,6,2,4,3] => 75 [1,5,6,3,2,4] => 75 [1,5,6,3,4,2] => 73 [1,5,6,4,2,3] => 73 [1,5,6,4,3,2] => 72 [1,6,2,3,4,5] => 81 [1,6,2,3,5,4] => 80 [1,6,2,4,3,5] => 80 [1,6,2,4,5,3] => 78 [1,6,2,5,3,4] => 78 [1,6,2,5,4,3] => 77 [1,6,3,2,4,5] => 80 [1,6,3,2,5,4] => 79 [1,6,3,4,2,5] => 78 [1,6,3,4,5,2] => 75 [1,6,3,5,2,4] => 76 [1,6,3,5,4,2] => 74 [1,6,4,2,3,5] => 78 [1,6,4,2,5,3] => 76 [1,6,4,3,2,5] => 77 [1,6,4,3,5,2] => 74 [1,6,4,5,2,3] => 73 [1,6,4,5,3,2] => 72 [1,6,5,2,3,4] => 75 [1,6,5,2,4,3] => 74 [1,6,5,3,2,4] => 74 [1,6,5,3,4,2] => 72 [1,6,5,4,2,3] => 72 [1,6,5,4,3,2] => 71 [2,1,3,4,5,6] => 90 [2,1,3,4,6,5] => 89 [2,1,3,5,4,6] => 89 [2,1,3,5,6,4] => 87 [2,1,3,6,4,5] => 87 [2,1,3,6,5,4] => 86 [2,1,4,3,5,6] => 89 [2,1,4,3,6,5] => 88 [2,1,4,5,3,6] => 87 [2,1,4,5,6,3] => 84 [2,1,4,6,3,5] => 85 [2,1,4,6,5,3] => 83 [2,1,5,3,4,6] => 87 [2,1,5,3,6,4] => 85 [2,1,5,4,3,6] => 86 [2,1,5,4,6,3] => 83 [2,1,5,6,3,4] => 82 [2,1,5,6,4,3] => 81 [2,1,6,3,4,5] => 84 [2,1,6,3,5,4] => 83 [2,1,6,4,3,5] => 83 [2,1,6,4,5,3] => 81 [2,1,6,5,3,4] => 81 [2,1,6,5,4,3] => 80 [2,3,1,4,5,6] => 88 [2,3,1,4,6,5] => 87 [2,3,1,5,4,6] => 87 [2,3,1,5,6,4] => 85 [2,3,1,6,4,5] => 85 [2,3,1,6,5,4] => 84 [2,3,4,1,5,6] => 85 [2,3,4,1,6,5] => 84 [2,3,4,5,1,6] => 81 [2,3,4,5,6,1] => 76 [2,3,4,6,1,5] => 79 [2,3,4,6,5,1] => 75 [2,3,5,1,4,6] => 83 [2,3,5,1,6,4] => 81 [2,3,5,4,1,6] => 80 [2,3,5,4,6,1] => 75 [2,3,5,6,1,4] => 76 [2,3,5,6,4,1] => 73 [2,3,6,1,4,5] => 80 [2,3,6,1,5,4] => 79 [2,3,6,4,1,5] => 77 [2,3,6,4,5,1] => 73 [2,3,6,5,1,4] => 75 [2,3,6,5,4,1] => 72 [2,4,1,3,5,6] => 86 [2,4,1,3,6,5] => 85 [2,4,1,5,3,6] => 84 [2,4,1,5,6,3] => 81 [2,4,1,6,3,5] => 82 [2,4,1,6,5,3] => 80 [2,4,3,1,5,6] => 84 [2,4,3,1,6,5] => 83 [2,4,3,5,1,6] => 80 [2,4,3,5,6,1] => 75 [2,4,3,6,1,5] => 78 [2,4,3,6,5,1] => 74 [2,4,5,1,3,6] => 80 [2,4,5,1,6,3] => 77 [2,4,5,3,1,6] => 78 [2,4,5,3,6,1] => 73 [2,4,5,6,1,3] => 72 [2,4,5,6,3,1] => 70 [2,4,6,1,3,5] => 77 [2,4,6,1,5,3] => 75 [2,4,6,3,1,5] => 75 [2,4,6,3,5,1] => 71 [2,4,6,5,1,3] => 71 [2,4,6,5,3,1] => 69 [2,5,1,3,4,6] => 83 [2,5,1,3,6,4] => 81 [2,5,1,4,3,6] => 82 [2,5,1,4,6,3] => 79 [2,5,1,6,3,4] => 78 [2,5,1,6,4,3] => 77 [2,5,3,1,4,6] => 81 [2,5,3,1,6,4] => 79 [2,5,3,4,1,6] => 78 [2,5,3,4,6,1] => 73 [2,5,3,6,1,4] => 74 [2,5,3,6,4,1] => 71 [2,5,4,1,3,6] => 79 [2,5,4,1,6,3] => 76 [2,5,4,3,1,6] => 77 [2,5,4,3,6,1] => 72 [2,5,4,6,1,3] => 71 [2,5,4,6,3,1] => 69 [2,5,6,1,3,4] => 73 [2,5,6,1,4,3] => 72 [2,5,6,3,1,4] => 71 [2,5,6,3,4,1] => 68 [2,5,6,4,1,3] => 69 [2,5,6,4,3,1] => 67 [2,6,1,3,4,5] => 79 [2,6,1,3,5,4] => 78 [2,6,1,4,3,5] => 78 [2,6,1,4,5,3] => 76 [2,6,1,5,3,4] => 76 [2,6,1,5,4,3] => 75 [2,6,3,1,4,5] => 77 [2,6,3,1,5,4] => 76 [2,6,3,4,1,5] => 74 [2,6,3,4,5,1] => 70 [2,6,3,5,1,4] => 72 [2,6,3,5,4,1] => 69 [2,6,4,1,3,5] => 75 [2,6,4,1,5,3] => 73 [2,6,4,3,1,5] => 73 [2,6,4,3,5,1] => 69 [2,6,4,5,1,3] => 69 [2,6,4,5,3,1] => 67 [2,6,5,1,3,4] => 72 [2,6,5,1,4,3] => 71 [2,6,5,3,1,4] => 70 [2,6,5,3,4,1] => 67 [2,6,5,4,1,3] => 68 [2,6,5,4,3,1] => 66 [3,1,2,4,5,6] => 88 [3,1,2,4,6,5] => 87 [3,1,2,5,4,6] => 87 [3,1,2,5,6,4] => 85 [3,1,2,6,4,5] => 85 [3,1,2,6,5,4] => 84 [3,1,4,2,5,6] => 86 [3,1,4,2,6,5] => 85 [3,1,4,5,2,6] => 83 [3,1,4,5,6,2] => 79 [3,1,4,6,2,5] => 81 [3,1,4,6,5,2] => 78 [3,1,5,2,4,6] => 84 [3,1,5,2,6,4] => 82 [3,1,5,4,2,6] => 82 [3,1,5,4,6,2] => 78 [3,1,5,6,2,4] => 78 [3,1,5,6,4,2] => 76 [3,1,6,2,4,5] => 81 [3,1,6,2,5,4] => 80 [3,1,6,4,2,5] => 79 [3,1,6,4,5,2] => 76 [3,1,6,5,2,4] => 77 [3,1,6,5,4,2] => 75 [3,2,1,4,5,6] => 87 [3,2,1,4,6,5] => 86 [3,2,1,5,4,6] => 86 [3,2,1,5,6,4] => 84 [3,2,1,6,4,5] => 84 [3,2,1,6,5,4] => 83 [3,2,4,1,5,6] => 84 [3,2,4,1,6,5] => 83 [3,2,4,5,1,6] => 80 [3,2,4,5,6,1] => 75 [3,2,4,6,1,5] => 78 [3,2,4,6,5,1] => 74 [3,2,5,1,4,6] => 82 [3,2,5,1,6,4] => 80 [3,2,5,4,1,6] => 79 [3,2,5,4,6,1] => 74 [3,2,5,6,1,4] => 75 [3,2,5,6,4,1] => 72 [3,2,6,1,4,5] => 79 [3,2,6,1,5,4] => 78 [3,2,6,4,1,5] => 76 [3,2,6,4,5,1] => 72 [3,2,6,5,1,4] => 74 [3,2,6,5,4,1] => 71 [3,4,1,2,5,6] => 83 [3,4,1,2,6,5] => 82 [3,4,1,5,2,6] => 80 [3,4,1,5,6,2] => 76 [3,4,1,6,2,5] => 78 [3,4,1,6,5,2] => 75 [3,4,2,1,5,6] => 82 [3,4,2,1,6,5] => 81 [3,4,2,5,1,6] => 78 [3,4,2,5,6,1] => 73 [3,4,2,6,1,5] => 76 [3,4,2,6,5,1] => 72 [3,4,5,1,2,6] => 76 [3,4,5,1,6,2] => 72 [3,4,5,2,1,6] => 75 [3,4,5,2,6,1] => 70 [3,4,5,6,1,2] => 67 [3,4,5,6,2,1] => 66 [3,4,6,1,2,5] => 73 [3,4,6,1,5,2] => 70 [3,4,6,2,1,5] => 72 [3,4,6,2,5,1] => 68 [3,4,6,5,1,2] => 66 [3,4,6,5,2,1] => 65 [3,5,1,2,4,6] => 80 [3,5,1,2,6,4] => 78 [3,5,1,4,2,6] => 78 [3,5,1,4,6,2] => 74 [3,5,1,6,2,4] => 74 [3,5,1,6,4,2] => 72 [3,5,2,1,4,6] => 79 [3,5,2,1,6,4] => 77 [3,5,2,4,1,6] => 76 [3,5,2,4,6,1] => 71 [3,5,2,6,1,4] => 72 [3,5,2,6,4,1] => 69 [3,5,4,1,2,6] => 75 [3,5,4,1,6,2] => 71 [3,5,4,2,1,6] => 74 [3,5,4,2,6,1] => 69 [3,5,4,6,1,2] => 66 [3,5,4,6,2,1] => 65 [3,5,6,1,2,4] => 69 [3,5,6,1,4,2] => 67 [3,5,6,2,1,4] => 68 [3,5,6,2,4,1] => 65 [3,5,6,4,1,2] => 64 [3,5,6,4,2,1] => 63 [3,6,1,2,4,5] => 76 [3,6,1,2,5,4] => 75 [3,6,1,4,2,5] => 74 [3,6,1,4,5,2] => 71 [3,6,1,5,2,4] => 72 [3,6,1,5,4,2] => 70 [3,6,2,1,4,5] => 75 [3,6,2,1,5,4] => 74 [3,6,2,4,1,5] => 72 [3,6,2,4,5,1] => 68 [3,6,2,5,1,4] => 70 [3,6,2,5,4,1] => 67 [3,6,4,1,2,5] => 71 [3,6,4,1,5,2] => 68 [3,6,4,2,1,5] => 70 [3,6,4,2,5,1] => 66 [3,6,4,5,1,2] => 64 [3,6,4,5,2,1] => 63 [3,6,5,1,2,4] => 68 [3,6,5,1,4,2] => 66 [3,6,5,2,1,4] => 67 [3,6,5,2,4,1] => 64 [3,6,5,4,1,2] => 63 [3,6,5,4,2,1] => 62 [4,1,2,3,5,6] => 85 [4,1,2,3,6,5] => 84 [4,1,2,5,3,6] => 83 [4,1,2,5,6,3] => 80 [4,1,2,6,3,5] => 81 [4,1,2,6,5,3] => 79 [4,1,3,2,5,6] => 84 [4,1,3,2,6,5] => 83 [4,1,3,5,2,6] => 81 [4,1,3,5,6,2] => 77 [4,1,3,6,2,5] => 79 [4,1,3,6,5,2] => 76 [4,1,5,2,3,6] => 80 [4,1,5,2,6,3] => 77 [4,1,5,3,2,6] => 79 [4,1,5,3,6,2] => 75 [4,1,5,6,2,3] => 73 [4,1,5,6,3,2] => 72 [4,1,6,2,3,5] => 77 [4,1,6,2,5,3] => 75 [4,1,6,3,2,5] => 76 [4,1,6,3,5,2] => 73 [4,1,6,5,2,3] => 72 [4,1,6,5,3,2] => 71 [4,2,1,3,5,6] => 84 [4,2,1,3,6,5] => 83 [4,2,1,5,3,6] => 82 [4,2,1,5,6,3] => 79 [4,2,1,6,3,5] => 80 [4,2,1,6,5,3] => 78 [4,2,3,1,5,6] => 82 [4,2,3,1,6,5] => 81 [4,2,3,5,1,6] => 78 [4,2,3,5,6,1] => 73 [4,2,3,6,1,5] => 76 [4,2,3,6,5,1] => 72 [4,2,5,1,3,6] => 78 [4,2,5,1,6,3] => 75 [4,2,5,3,1,6] => 76 [4,2,5,3,6,1] => 71 [4,2,5,6,1,3] => 70 [4,2,5,6,3,1] => 68 [4,2,6,1,3,5] => 75 [4,2,6,1,5,3] => 73 [4,2,6,3,1,5] => 73 [4,2,6,3,5,1] => 69 [4,2,6,5,1,3] => 69 [4,2,6,5,3,1] => 67 [4,3,1,2,5,6] => 82 [4,3,1,2,6,5] => 81 [4,3,1,5,2,6] => 79 [4,3,1,5,6,2] => 75 [4,3,1,6,2,5] => 77 [4,3,1,6,5,2] => 74 [4,3,2,1,5,6] => 81 [4,3,2,1,6,5] => 80 [4,3,2,5,1,6] => 77 [4,3,2,5,6,1] => 72 [4,3,2,6,1,5] => 75 [4,3,2,6,5,1] => 71 [4,3,5,1,2,6] => 75 [4,3,5,1,6,2] => 71 [4,3,5,2,1,6] => 74 [4,3,5,2,6,1] => 69 [4,3,5,6,1,2] => 66 [4,3,5,6,2,1] => 65 [4,3,6,1,2,5] => 72 [4,3,6,1,5,2] => 69 [4,3,6,2,1,5] => 71 [4,3,6,2,5,1] => 67 [4,3,6,5,1,2] => 65 [4,3,6,5,2,1] => 64 [4,5,1,2,3,6] => 76 [4,5,1,2,6,3] => 73 [4,5,1,3,2,6] => 75 [4,5,1,3,6,2] => 71 [4,5,1,6,2,3] => 69 [4,5,1,6,3,2] => 68 [4,5,2,1,3,6] => 75 [4,5,2,1,6,3] => 72 [4,5,2,3,1,6] => 73 [4,5,2,3,6,1] => 68 [4,5,2,6,1,3] => 67 [4,5,2,6,3,1] => 65 [4,5,3,1,2,6] => 73 [4,5,3,1,6,2] => 69 [4,5,3,2,1,6] => 72 [4,5,3,2,6,1] => 67 [4,5,3,6,1,2] => 64 [4,5,3,6,2,1] => 63 [4,5,6,1,2,3] => 64 [4,5,6,1,3,2] => 63 [4,5,6,2,1,3] => 63 [4,5,6,2,3,1] => 61 [4,5,6,3,1,2] => 61 [4,5,6,3,2,1] => 60 [4,6,1,2,3,5] => 72 [4,6,1,2,5,3] => 70 [4,6,1,3,2,5] => 71 [4,6,1,3,5,2] => 68 [4,6,1,5,2,3] => 67 [4,6,1,5,3,2] => 66 [4,6,2,1,3,5] => 71 [4,6,2,1,5,3] => 69 [4,6,2,3,1,5] => 69 [4,6,2,3,5,1] => 65 [4,6,2,5,1,3] => 65 [4,6,2,5,3,1] => 63 [4,6,3,1,2,5] => 69 [4,6,3,1,5,2] => 66 [4,6,3,2,1,5] => 68 [4,6,3,2,5,1] => 64 [4,6,3,5,1,2] => 62 [4,6,3,5,2,1] => 61 [4,6,5,1,2,3] => 63 [4,6,5,1,3,2] => 62 [4,6,5,2,1,3] => 62 [4,6,5,2,3,1] => 60 [4,6,5,3,1,2] => 60 [4,6,5,3,2,1] => 59 [5,1,2,3,4,6] => 81 [5,1,2,3,6,4] => 79 [5,1,2,4,3,6] => 80 [5,1,2,4,6,3] => 77 [5,1,2,6,3,4] => 76 [5,1,2,6,4,3] => 75 [5,1,3,2,4,6] => 80 [5,1,3,2,6,4] => 78 [5,1,3,4,2,6] => 78 [5,1,3,4,6,2] => 74 [5,1,3,6,2,4] => 74 [5,1,3,6,4,2] => 72 [5,1,4,2,3,6] => 78 [5,1,4,2,6,3] => 75 [5,1,4,3,2,6] => 77 [5,1,4,3,6,2] => 73 [5,1,4,6,2,3] => 71 [5,1,4,6,3,2] => 70 [5,1,6,2,3,4] => 72 [5,1,6,2,4,3] => 71 [5,1,6,3,2,4] => 71 [5,1,6,3,4,2] => 69 [5,1,6,4,2,3] => 69 [5,1,6,4,3,2] => 68 [5,2,1,3,4,6] => 80 [5,2,1,3,6,4] => 78 [5,2,1,4,3,6] => 79 [5,2,1,4,6,3] => 76 [5,2,1,6,3,4] => 75 [5,2,1,6,4,3] => 74 [5,2,3,1,4,6] => 78 [5,2,3,1,6,4] => 76 [5,2,3,4,1,6] => 75 [5,2,3,4,6,1] => 70 [5,2,3,6,1,4] => 71 [5,2,3,6,4,1] => 68 [5,2,4,1,3,6] => 76 [5,2,4,1,6,3] => 73 [5,2,4,3,1,6] => 74 [5,2,4,3,6,1] => 69 [5,2,4,6,1,3] => 68 [5,2,4,6,3,1] => 66 [5,2,6,1,3,4] => 70 [5,2,6,1,4,3] => 69 [5,2,6,3,1,4] => 68 [5,2,6,3,4,1] => 65 [5,2,6,4,1,3] => 66 [5,2,6,4,3,1] => 64 [5,3,1,2,4,6] => 78 [5,3,1,2,6,4] => 76 [5,3,1,4,2,6] => 76 [5,3,1,4,6,2] => 72 [5,3,1,6,2,4] => 72 [5,3,1,6,4,2] => 70 [5,3,2,1,4,6] => 77 [5,3,2,1,6,4] => 75 [5,3,2,4,1,6] => 74 [5,3,2,4,6,1] => 69 [5,3,2,6,1,4] => 70 [5,3,2,6,4,1] => 67 [5,3,4,1,2,6] => 73 [5,3,4,1,6,2] => 69 [5,3,4,2,1,6] => 72 [5,3,4,2,6,1] => 67 [5,3,4,6,1,2] => 64 [5,3,4,6,2,1] => 63 [5,3,6,1,2,4] => 67 [5,3,6,1,4,2] => 65 [5,3,6,2,1,4] => 66 [5,3,6,2,4,1] => 63 [5,3,6,4,1,2] => 62 [5,3,6,4,2,1] => 61 [5,4,1,2,3,6] => 75 [5,4,1,2,6,3] => 72 [5,4,1,3,2,6] => 74 [5,4,1,3,6,2] => 70 [5,4,1,6,2,3] => 68 [5,4,1,6,3,2] => 67 [5,4,2,1,3,6] => 74 [5,4,2,1,6,3] => 71 [5,4,2,3,1,6] => 72 [5,4,2,3,6,1] => 67 [5,4,2,6,1,3] => 66 [5,4,2,6,3,1] => 64 [5,4,3,1,2,6] => 72 [5,4,3,1,6,2] => 68 [5,4,3,2,1,6] => 71 [5,4,3,2,6,1] => 66 [5,4,3,6,1,2] => 63 [5,4,3,6,2,1] => 62 [5,4,6,1,2,3] => 63 [5,4,6,1,3,2] => 62 [5,4,6,2,1,3] => 62 [5,4,6,2,3,1] => 60 [5,4,6,3,1,2] => 60 [5,4,6,3,2,1] => 59 [5,6,1,2,3,4] => 67 [5,6,1,2,4,3] => 66 [5,6,1,3,2,4] => 66 [5,6,1,3,4,2] => 64 [5,6,1,4,2,3] => 64 [5,6,1,4,3,2] => 63 [5,6,2,1,3,4] => 66 [5,6,2,1,4,3] => 65 [5,6,2,3,1,4] => 64 [5,6,2,3,4,1] => 61 [5,6,2,4,1,3] => 62 [5,6,2,4,3,1] => 60 [5,6,3,1,2,4] => 64 [5,6,3,1,4,2] => 62 [5,6,3,2,1,4] => 63 [5,6,3,2,4,1] => 60 [5,6,3,4,1,2] => 59 [5,6,3,4,2,1] => 58 [5,6,4,1,2,3] => 61 [5,6,4,1,3,2] => 60 [5,6,4,2,1,3] => 60 [5,6,4,2,3,1] => 58 [5,6,4,3,1,2] => 58 [5,6,4,3,2,1] => 57 [6,1,2,3,4,5] => 76 [6,1,2,3,5,4] => 75 [6,1,2,4,3,5] => 75 [6,1,2,4,5,3] => 73 [6,1,2,5,3,4] => 73 [6,1,2,5,4,3] => 72 [6,1,3,2,4,5] => 75 [6,1,3,2,5,4] => 74 [6,1,3,4,2,5] => 73 [6,1,3,4,5,2] => 70 [6,1,3,5,2,4] => 71 [6,1,3,5,4,2] => 69 [6,1,4,2,3,5] => 73 [6,1,4,2,5,3] => 71 [6,1,4,3,2,5] => 72 [6,1,4,3,5,2] => 69 [6,1,4,5,2,3] => 68 [6,1,4,5,3,2] => 67 [6,1,5,2,3,4] => 70 [6,1,5,2,4,3] => 69 [6,1,5,3,2,4] => 69 [6,1,5,3,4,2] => 67 [6,1,5,4,2,3] => 67 [6,1,5,4,3,2] => 66 [6,2,1,3,4,5] => 75 [6,2,1,3,5,4] => 74 [6,2,1,4,3,5] => 74 [6,2,1,4,5,3] => 72 [6,2,1,5,3,4] => 72 [6,2,1,5,4,3] => 71 [6,2,3,1,4,5] => 73 [6,2,3,1,5,4] => 72 [6,2,3,4,1,5] => 70 [6,2,3,4,5,1] => 66 [6,2,3,5,1,4] => 68 [6,2,3,5,4,1] => 65 [6,2,4,1,3,5] => 71 [6,2,4,1,5,3] => 69 [6,2,4,3,1,5] => 69 [6,2,4,3,5,1] => 65 [6,2,4,5,1,3] => 65 [6,2,4,5,3,1] => 63 [6,2,5,1,3,4] => 68 [6,2,5,1,4,3] => 67 [6,2,5,3,1,4] => 66 [6,2,5,3,4,1] => 63 [6,2,5,4,1,3] => 64 [6,2,5,4,3,1] => 62 [6,3,1,2,4,5] => 73 [6,3,1,2,5,4] => 72 [6,3,1,4,2,5] => 71 [6,3,1,4,5,2] => 68 [6,3,1,5,2,4] => 69 [6,3,1,5,4,2] => 67 [6,3,2,1,4,5] => 72 [6,3,2,1,5,4] => 71 [6,3,2,4,1,5] => 69 [6,3,2,4,5,1] => 65 [6,3,2,5,1,4] => 67 [6,3,2,5,4,1] => 64 [6,3,4,1,2,5] => 68 [6,3,4,1,5,2] => 65 [6,3,4,2,1,5] => 67 [6,3,4,2,5,1] => 63 [6,3,4,5,1,2] => 61 [6,3,4,5,2,1] => 60 [6,3,5,1,2,4] => 65 [6,3,5,1,4,2] => 63 [6,3,5,2,1,4] => 64 [6,3,5,2,4,1] => 61 [6,3,5,4,1,2] => 60 [6,3,5,4,2,1] => 59 [6,4,1,2,3,5] => 70 [6,4,1,2,5,3] => 68 [6,4,1,3,2,5] => 69 [6,4,1,3,5,2] => 66 [6,4,1,5,2,3] => 65 [6,4,1,5,3,2] => 64 [6,4,2,1,3,5] => 69 [6,4,2,1,5,3] => 67 [6,4,2,3,1,5] => 67 [6,4,2,3,5,1] => 63 [6,4,2,5,1,3] => 63 [6,4,2,5,3,1] => 61 [6,4,3,1,2,5] => 67 [6,4,3,1,5,2] => 64 [6,4,3,2,1,5] => 66 [6,4,3,2,5,1] => 62 [6,4,3,5,1,2] => 60 [6,4,3,5,2,1] => 59 [6,4,5,1,2,3] => 61 [6,4,5,1,3,2] => 60 [6,4,5,2,1,3] => 60 [6,4,5,2,3,1] => 58 [6,4,5,3,1,2] => 58 [6,4,5,3,2,1] => 57 [6,5,1,2,3,4] => 66 [6,5,1,2,4,3] => 65 [6,5,1,3,2,4] => 65 [6,5,1,3,4,2] => 63 [6,5,1,4,2,3] => 63 [6,5,1,4,3,2] => 62 [6,5,2,1,3,4] => 65 [6,5,2,1,4,3] => 64 [6,5,2,3,1,4] => 63 [6,5,2,3,4,1] => 60 [6,5,2,4,1,3] => 61 [6,5,2,4,3,1] => 59 [6,5,3,1,2,4] => 63 [6,5,3,1,4,2] => 61 [6,5,3,2,1,4] => 62 [6,5,3,2,4,1] => 59 [6,5,3,4,1,2] => 58 [6,5,3,4,2,1] => 57 [6,5,4,1,2,3] => 60 [6,5,4,1,3,2] => 59 [6,5,4,2,1,3] => 59 [6,5,4,2,3,1] => 57 [6,5,4,3,1,2] => 57 [6,5,4,3,2,1] => 56 [1,2,3,4,5,6,7] => 140 [1,2,3,4,5,7,6] => 139 [1,2,3,4,6,5,7] => 139 [1,2,3,4,6,7,5] => 137 [1,2,3,4,7,5,6] => 137 [1,2,3,4,7,6,5] => 136 [1,2,3,5,4,6,7] => 139 [1,2,3,5,4,7,6] => 138 [1,2,3,5,6,4,7] => 137 [1,2,3,5,6,7,4] => 134 [1,2,3,5,7,4,6] => 135 [1,2,3,5,7,6,4] => 133 [1,2,3,6,4,5,7] => 137 [1,2,3,6,4,7,5] => 135 [1,2,3,6,5,4,7] => 136 [1,2,3,6,5,7,4] => 133 [1,2,3,6,7,4,5] => 132 [1,2,3,6,7,5,4] => 131 [1,2,3,7,4,5,6] => 134 [1,2,3,7,4,6,5] => 133 [1,2,3,7,5,4,6] => 133 [1,2,3,7,5,6,4] => 131 [1,2,3,7,6,4,5] => 131 [1,2,3,7,6,5,4] => 130 [1,2,4,3,5,6,7] => 139 [1,2,4,3,5,7,6] => 138 [1,2,4,3,6,5,7] => 138 [1,2,4,3,6,7,5] => 136 [1,2,4,3,7,5,6] => 136 [1,2,4,3,7,6,5] => 135 [1,2,4,5,3,6,7] => 137 [1,2,4,5,3,7,6] => 136 [1,2,4,5,6,3,7] => 134 [1,2,4,5,6,7,3] => 130 [1,2,4,5,7,3,6] => 132 [1,2,4,5,7,6,3] => 129 [1,2,4,6,3,5,7] => 135 [1,2,4,6,3,7,5] => 133 [1,2,4,6,5,3,7] => 133 [1,2,4,6,5,7,3] => 129 [1,2,4,6,7,3,5] => 129 [1,2,4,6,7,5,3] => 127 [1,2,4,7,3,5,6] => 132 [1,2,4,7,3,6,5] => 131 [1,2,4,7,5,3,6] => 130 [1,2,4,7,5,6,3] => 127 [1,2,4,7,6,3,5] => 128 [1,2,4,7,6,5,3] => 126 [1,2,5,3,4,6,7] => 137 [1,2,5,3,4,7,6] => 136 [1,2,5,3,6,4,7] => 135 [1,2,5,3,6,7,4] => 132 [1,2,5,3,7,4,6] => 133 [1,2,5,3,7,6,4] => 131 [1,2,5,4,3,6,7] => 136 [1,2,5,4,3,7,6] => 135 [1,2,5,4,6,3,7] => 133 [1,2,5,4,6,7,3] => 129 [1,2,5,4,7,3,6] => 131 [1,2,5,4,7,6,3] => 128 [1,2,5,6,3,4,7] => 132 [1,2,5,6,3,7,4] => 129 [1,2,5,6,4,3,7] => 131 [1,2,5,6,4,7,3] => 127 [1,2,5,6,7,3,4] => 125 [1,2,5,6,7,4,3] => 124 [1,2,5,7,3,4,6] => 129 [1,2,5,7,3,6,4] => 127 [1,2,5,7,4,3,6] => 128 [1,2,5,7,4,6,3] => 125 [1,2,5,7,6,3,4] => 124 [1,2,5,7,6,4,3] => 123 [1,2,6,3,4,5,7] => 134 [1,2,6,3,4,7,5] => 132 [1,2,6,3,5,4,7] => 133 [1,2,6,3,5,7,4] => 130 [1,2,6,3,7,4,5] => 129 [1,2,6,3,7,5,4] => 128 [1,2,6,4,3,5,7] => 133 [1,2,6,4,3,7,5] => 131 [1,2,6,4,5,3,7] => 131 [1,2,6,4,5,7,3] => 127 [1,2,6,4,7,3,5] => 127 [1,2,6,4,7,5,3] => 125 [1,2,6,5,3,4,7] => 131 [1,2,6,5,3,7,4] => 128 [1,2,6,5,4,3,7] => 130 [1,2,6,5,4,7,3] => 126 [1,2,6,5,7,3,4] => 124 [1,2,6,5,7,4,3] => 123 [1,2,6,7,3,4,5] => 125 [1,2,6,7,3,5,4] => 124 [1,2,6,7,4,3,5] => 124 [1,2,6,7,4,5,3] => 122 [1,2,6,7,5,3,4] => 122 [1,2,6,7,5,4,3] => 121 [1,2,7,3,4,5,6] => 130 [1,2,7,3,4,6,5] => 129 [1,2,7,3,5,4,6] => 129 [1,2,7,3,5,6,4] => 127 [1,2,7,3,6,4,5] => 127 [1,2,7,3,6,5,4] => 126 [1,2,7,4,3,5,6] => 129 [1,2,7,4,3,6,5] => 128 [1,2,7,4,5,3,6] => 127 [1,2,7,4,5,6,3] => 124 [1,2,7,4,6,3,5] => 125 [1,2,7,4,6,5,3] => 123 [1,2,7,5,3,4,6] => 127 [1,2,7,5,3,6,4] => 125 [1,2,7,5,4,3,6] => 126 [1,2,7,5,4,6,3] => 123 [1,2,7,5,6,3,4] => 122 [1,2,7,5,6,4,3] => 121 [1,2,7,6,3,4,5] => 124 [1,2,7,6,3,5,4] => 123 [1,2,7,6,4,3,5] => 123 [1,2,7,6,4,5,3] => 121 [1,2,7,6,5,3,4] => 121 [1,2,7,6,5,4,3] => 120 [1,3,2,4,5,6,7] => 139 [1,3,2,4,5,7,6] => 138 [1,3,2,4,6,5,7] => 138 [1,3,2,4,6,7,5] => 136 [1,3,2,4,7,5,6] => 136 [1,3,2,4,7,6,5] => 135 [1,3,2,5,4,6,7] => 138 [1,3,2,5,4,7,6] => 137 [1,3,2,5,6,4,7] => 136 [1,3,2,5,6,7,4] => 133 [1,3,2,5,7,4,6] => 134 [1,3,2,5,7,6,4] => 132 [1,3,2,6,4,5,7] => 136 [1,3,2,6,4,7,5] => 134 [1,3,2,6,5,4,7] => 135 [1,3,2,6,5,7,4] => 132 [1,3,2,6,7,4,5] => 131 [1,3,2,6,7,5,4] => 130 [1,3,2,7,4,5,6] => 133 [1,3,2,7,4,6,5] => 132 [1,3,2,7,5,4,6] => 132 [1,3,2,7,5,6,4] => 130 [1,3,2,7,6,4,5] => 130 [1,3,2,7,6,5,4] => 129 [1,3,4,2,5,6,7] => 137 [1,3,4,2,5,7,6] => 136 [1,3,4,2,6,5,7] => 136 [1,3,4,2,6,7,5] => 134 [1,3,4,2,7,5,6] => 134 [1,3,4,2,7,6,5] => 133 [1,3,4,5,2,6,7] => 134 [1,3,4,5,2,7,6] => 133 [1,3,4,5,6,2,7] => 130 [1,3,4,5,6,7,2] => 125 [1,3,4,5,7,2,6] => 128 [1,3,4,5,7,6,2] => 124 [1,3,4,6,2,5,7] => 132 [1,3,4,6,2,7,5] => 130 [1,3,4,6,5,2,7] => 129 [1,3,4,6,5,7,2] => 124 [1,3,4,6,7,2,5] => 125 [1,3,4,6,7,5,2] => 122 [1,3,4,7,2,5,6] => 129 [1,3,4,7,2,6,5] => 128 [1,3,4,7,5,2,6] => 126 [1,3,4,7,5,6,2] => 122 [1,3,4,7,6,2,5] => 124 [1,3,4,7,6,5,2] => 121 [1,3,5,2,4,6,7] => 135 [1,3,5,2,4,7,6] => 134 [1,3,5,2,6,4,7] => 133 [1,3,5,2,6,7,4] => 130 [1,3,5,2,7,4,6] => 131 [1,3,5,2,7,6,4] => 129 [1,3,5,4,2,6,7] => 133 [1,3,5,4,2,7,6] => 132 [1,3,5,4,6,2,7] => 129 [1,3,5,4,6,7,2] => 124 [1,3,5,4,7,2,6] => 127 [1,3,5,4,7,6,2] => 123 [1,3,5,6,2,4,7] => 129 [1,3,5,6,2,7,4] => 126 [1,3,5,6,4,2,7] => 127 [1,3,5,6,4,7,2] => 122 [1,3,5,6,7,2,4] => 121 [1,3,5,6,7,4,2] => 119 [1,3,5,7,2,4,6] => 126 [1,3,5,7,2,6,4] => 124 [1,3,5,7,4,2,6] => 124 [1,3,5,7,4,6,2] => 120 [1,3,5,7,6,2,4] => 120 [1,3,5,7,6,4,2] => 118 [1,3,6,2,4,5,7] => 132 [1,3,6,2,4,7,5] => 130 [1,3,6,2,5,4,7] => 131 [1,3,6,2,5,7,4] => 128 [1,3,6,2,7,4,5] => 127 [1,3,6,2,7,5,4] => 126 [1,3,6,4,2,5,7] => 130 [1,3,6,4,2,7,5] => 128 [1,3,6,4,5,2,7] => 127 [1,3,6,4,5,7,2] => 122 [1,3,6,4,7,2,5] => 123 [1,3,6,4,7,5,2] => 120 [1,3,6,5,2,4,7] => 128 [1,3,6,5,2,7,4] => 125 [1,3,6,5,4,2,7] => 126 [1,3,6,5,4,7,2] => 121 [1,3,6,5,7,2,4] => 120 [1,3,6,5,7,4,2] => 118 [1,3,6,7,2,4,5] => 122 [1,3,6,7,2,5,4] => 121 [1,3,6,7,4,2,5] => 120 [1,3,6,7,4,5,2] => 117 [1,3,6,7,5,2,4] => 118 [1,3,6,7,5,4,2] => 116 [1,3,7,2,4,5,6] => 128 [1,3,7,2,4,6,5] => 127 [1,3,7,2,5,4,6] => 127 [1,3,7,2,5,6,4] => 125 [1,3,7,2,6,4,5] => 125 [1,3,7,2,6,5,4] => 124 [1,3,7,4,2,5,6] => 126 [1,3,7,4,2,6,5] => 125 [1,3,7,4,5,2,6] => 123 [1,3,7,4,5,6,2] => 119 [1,3,7,4,6,2,5] => 121 [1,3,7,4,6,5,2] => 118 [1,3,7,5,2,4,6] => 124 [1,3,7,5,2,6,4] => 122 [1,3,7,5,4,2,6] => 122 [1,3,7,5,4,6,2] => 118 [1,3,7,5,6,2,4] => 118 [1,3,7,5,6,4,2] => 116 [1,3,7,6,2,4,5] => 121 [1,3,7,6,2,5,4] => 120 [1,3,7,6,4,2,5] => 119 [1,3,7,6,4,5,2] => 116 [1,3,7,6,5,2,4] => 117 [1,3,7,6,5,4,2] => 115 [1,4,2,3,5,6,7] => 137 [1,4,2,3,5,7,6] => 136 [1,4,2,3,6,5,7] => 136 [1,4,2,3,6,7,5] => 134 [1,4,2,3,7,5,6] => 134 [1,4,2,3,7,6,5] => 133 [1,4,2,5,3,6,7] => 135 [1,4,2,5,3,7,6] => 134 [1,4,2,5,6,3,7] => 132 [1,4,2,5,6,7,3] => 128 [1,4,2,5,7,3,6] => 130 [1,4,2,5,7,6,3] => 127 [1,4,2,6,3,5,7] => 133 [1,4,2,6,3,7,5] => 131 [1,4,2,6,5,3,7] => 131 [1,4,2,6,5,7,3] => 127 [1,4,2,6,7,3,5] => 127 [1,4,2,6,7,5,3] => 125 [1,4,2,7,3,5,6] => 130 [1,4,2,7,3,6,5] => 129 [1,4,2,7,5,3,6] => 128 [1,4,2,7,5,6,3] => 125 [1,4,2,7,6,3,5] => 126 [1,4,2,7,6,5,3] => 124 [1,4,3,2,5,6,7] => 136 [1,4,3,2,5,7,6] => 135 [1,4,3,2,6,5,7] => 135 [1,4,3,2,6,7,5] => 133 [1,4,3,2,7,5,6] => 133 [1,4,3,2,7,6,5] => 132 [1,4,3,5,2,6,7] => 133 [1,4,3,5,2,7,6] => 132 [1,4,3,5,6,2,7] => 129 [1,4,3,5,6,7,2] => 124 [1,4,3,5,7,2,6] => 127 [1,4,3,5,7,6,2] => 123 [1,4,3,6,2,5,7] => 131 [1,4,3,6,2,7,5] => 129 [1,4,3,6,5,2,7] => 128 [1,4,3,6,5,7,2] => 123 [1,4,3,6,7,2,5] => 124 [1,4,3,6,7,5,2] => 121 [1,4,3,7,2,5,6] => 128 [1,4,3,7,2,6,5] => 127 [1,4,3,7,5,2,6] => 125 [1,4,3,7,5,6,2] => 121 [1,4,3,7,6,2,5] => 123 [1,4,3,7,6,5,2] => 120 [1,4,5,2,3,6,7] => 132 [1,4,5,2,3,7,6] => 131 [1,4,5,2,6,3,7] => 129 [1,4,5,2,6,7,3] => 125 [1,4,5,2,7,3,6] => 127 [1,4,5,2,7,6,3] => 124 [1,4,5,3,2,6,7] => 131 [1,4,5,3,2,7,6] => 130 [1,4,5,3,6,2,7] => 127 [1,4,5,3,6,7,2] => 122 [1,4,5,3,7,2,6] => 125 [1,4,5,3,7,6,2] => 121 [1,4,5,6,2,3,7] => 125 [1,4,5,6,2,7,3] => 121 [1,4,5,6,3,2,7] => 124 [1,4,5,6,3,7,2] => 119 [1,4,5,6,7,2,3] => 116 [1,4,5,6,7,3,2] => 115 [1,4,5,7,2,3,6] => 122 [1,4,5,7,2,6,3] => 119 [1,4,5,7,3,2,6] => 121 [1,4,5,7,3,6,2] => 117 [1,4,5,7,6,2,3] => 115 [1,4,5,7,6,3,2] => 114 [1,4,6,2,3,5,7] => 129 [1,4,6,2,3,7,5] => 127 [1,4,6,2,5,3,7] => 127 [1,4,6,2,5,7,3] => 123 [1,4,6,2,7,3,5] => 123 [1,4,6,2,7,5,3] => 121 [1,4,6,3,2,5,7] => 128 [1,4,6,3,2,7,5] => 126 [1,4,6,3,5,2,7] => 125 [1,4,6,3,5,7,2] => 120 [1,4,6,3,7,2,5] => 121 [1,4,6,3,7,5,2] => 118 [1,4,6,5,2,3,7] => 124 [1,4,6,5,2,7,3] => 120 [1,4,6,5,3,2,7] => 123 [1,4,6,5,3,7,2] => 118 ----------------------------------------------------------------------------- Created: Dec 23, 2015 at 08:44 by Christian Stump ----------------------------------------------------------------------------- Last Updated: May 10, 2019 at 17:24 by Henning Ulfarsson