***************************************************************************** * 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: St001894 ----------------------------------------------------------------------------- Collection: Signed permutations ----------------------------------------------------------------------------- Description: The depth of a signed permutation. The depth of a positive root is its rank in the root poset. The depth of an element of a Coxeter group is the minimal sum of depths for any representation as product of reflections. ----------------------------------------------------------------------------- References: [1] Petersen, T. K., Tenner, B. E. The depth of a permutation [[arXiv:1202.4765]] [2] Bagno, E., Biagioli, R., Novick, M., Woo, A. Depth in classical Coexter groups [[arXiv:1507.01180]] ----------------------------------------------------------------------------- Code: def statistic(sigma): """ sage: sigma = SignedPermutation([2,-4,3,-1,7,-5,6]) sage: statistic(sigma) 12 """ s1 = sum(e - i for i, e in enumerate(sigma, 1) if e > i) s2 = sum(-e for e in sigma if e < 0) s3 = (oddness(sigma) - sigma.colors().count(-1)) / 2 return s1 + s2 + s3 def oddness(sigma): """ sage: sigma = SignedPermutation([2,-4,3,-1,7,-5,6]) sage: oddness(sigma) 1 sage: sigma = SignedPermutation([2,-4,3,-6,7,-5,1]) sage: oddness(sigma) 1 sage: sigma = SignedPermutation([-1,-2,-3,-4]) sage: oddness(sigma) 4 """ return sum(1 for b in decomposition(sigma) if is_odd(b.colors().count(-1))) def decomposition(sigma): """ sage: sigma = SignedPermutation([2,-4,3,-1,7,-5,6]) sage: decomposition(sigma) [[2, -4, 3, -1], [3, -1, 2]] sage: sigma = SignedPermutation([2,-4,3,-6,7,-5,1]) sage: decomposition(sigma) [[2, -4, 3, -6, 7, -5, 1]] """ pi = sigma.permutation() summands = [] j = 0 for i in range(1, len(pi)): if max(pi[:i]) <= i: summand = SignedPermutation([e-j if e > 0 else e + j for e in sigma[j:i]]) summands.append(summand) j = i summand = SignedPermutation([e-j if e > 0 else e + j for e in sigma[j:]]) summands.append(summand) return summands ----------------------------------------------------------------------------- Statistic values: [1] => 0 [-1] => 1 [1,2] => 0 [1,-2] => 2 [-1,2] => 1 [-1,-2] => 3 [2,1] => 1 [2,-1] => 2 [-2,1] => 2 [-2,-1] => 2 [1,2,3] => 0 [1,2,-3] => 3 [1,-2,3] => 2 [1,-2,-3] => 5 [-1,2,3] => 1 [-1,2,-3] => 4 [-1,-2,3] => 3 [-1,-2,-3] => 6 [1,3,2] => 1 [1,3,-2] => 3 [1,-3,2] => 3 [1,-3,-2] => 4 [-1,3,2] => 2 [-1,3,-2] => 4 [-1,-3,2] => 4 [-1,-3,-2] => 5 [2,1,3] => 1 [2,1,-3] => 4 [2,-1,3] => 2 [2,-1,-3] => 5 [-2,1,3] => 2 [-2,1,-3] => 5 [-2,-1,3] => 2 [-2,-1,-3] => 5 [2,3,1] => 2 [2,3,-1] => 3 [2,-3,1] => 4 [2,-3,-1] => 4 [-2,3,1] => 3 [-2,3,-1] => 3 [-2,-3,1] => 4 [-2,-3,-1] => 5 [3,1,2] => 2 [3,1,-2] => 4 [3,-1,2] => 3 [3,-1,-2] => 4 [-3,1,2] => 3 [-3,1,-2] => 4 [-3,-1,2] => 3 [-3,-1,-2] => 5 [3,2,1] => 2 [3,2,-1] => 3 [3,-2,1] => 4 [3,-2,-1] => 4 [-3,2,1] => 3 [-3,2,-1] => 3 [-3,-2,1] => 4 [-3,-2,-1] => 5 [1,2,3,4] => 0 [1,2,3,-4] => 4 [1,2,-3,4] => 3 [1,2,-3,-4] => 7 [1,-2,3,4] => 2 [1,-2,3,-4] => 6 [1,-2,-3,4] => 5 [1,-2,-3,-4] => 9 [-1,2,3,4] => 1 [-1,2,3,-4] => 5 [-1,2,-3,4] => 4 [-1,2,-3,-4] => 8 [-1,-2,3,4] => 3 [-1,-2,3,-4] => 7 [-1,-2,-3,4] => 6 [-1,-2,-3,-4] => 10 [1,2,4,3] => 1 [1,2,4,-3] => 4 [1,2,-4,3] => 4 [1,2,-4,-3] => 6 [1,-2,4,3] => 3 [1,-2,4,-3] => 6 [1,-2,-4,3] => 6 [1,-2,-4,-3] => 8 [-1,2,4,3] => 2 [-1,2,4,-3] => 5 [-1,2,-4,3] => 5 [-1,2,-4,-3] => 7 [-1,-2,4,3] => 4 [-1,-2,4,-3] => 7 [-1,-2,-4,3] => 7 [-1,-2,-4,-3] => 9 [1,3,2,4] => 1 [1,3,2,-4] => 5 [1,3,-2,4] => 3 [1,3,-2,-4] => 7 [1,-3,2,4] => 3 [1,-3,2,-4] => 7 [1,-3,-2,4] => 4 [1,-3,-2,-4] => 8 [-1,3,2,4] => 2 [-1,3,2,-4] => 6 [-1,3,-2,4] => 4 [-1,3,-2,-4] => 8 [-1,-3,2,4] => 4 [-1,-3,2,-4] => 8 [-1,-3,-2,4] => 5 [-1,-3,-2,-4] => 9 [1,3,4,2] => 2 [1,3,4,-2] => 4 [1,3,-4,2] => 5 [1,3,-4,-2] => 6 [1,-3,4,2] => 4 [1,-3,4,-2] => 5 [1,-3,-4,2] => 6 [1,-3,-4,-2] => 8 [-1,3,4,2] => 3 [-1,3,4,-2] => 5 [-1,3,-4,2] => 6 [-1,3,-4,-2] => 7 [-1,-3,4,2] => 5 [-1,-3,4,-2] => 6 [-1,-3,-4,2] => 7 [-1,-3,-4,-2] => 9 [1,4,2,3] => 2 [1,4,2,-3] => 5 [1,4,-2,3] => 4 [1,4,-2,-3] => 6 [1,-4,2,3] => 4 [1,-4,2,-3] => 6 [1,-4,-2,3] => 5 [1,-4,-2,-3] => 8 [-1,4,2,3] => 3 [-1,4,2,-3] => 6 [-1,4,-2,3] => 5 [-1,4,-2,-3] => 7 [-1,-4,2,3] => 5 [-1,-4,2,-3] => 7 [-1,-4,-2,3] => 6 [-1,-4,-2,-3] => 9 [1,4,3,2] => 2 [1,4,3,-2] => 4 [1,4,-3,2] => 5 [1,4,-3,-2] => 6 [1,-4,3,2] => 4 [1,-4,3,-2] => 5 [1,-4,-3,2] => 6 [1,-4,-3,-2] => 8 [-1,4,3,2] => 3 [-1,4,3,-2] => 5 [-1,4,-3,2] => 6 [-1,4,-3,-2] => 7 [-1,-4,3,2] => 5 [-1,-4,3,-2] => 6 [-1,-4,-3,2] => 7 [-1,-4,-3,-2] => 9 [2,1,3,4] => 1 [2,1,3,-4] => 5 [2,1,-3,4] => 4 [2,1,-3,-4] => 8 [2,-1,3,4] => 2 [2,-1,3,-4] => 6 [2,-1,-3,4] => 5 [2,-1,-3,-4] => 9 [-2,1,3,4] => 2 [-2,1,3,-4] => 6 [-2,1,-3,4] => 5 [-2,1,-3,-4] => 9 [-2,-1,3,4] => 2 [-2,-1,3,-4] => 6 [-2,-1,-3,4] => 5 [-2,-1,-3,-4] => 9 [2,1,4,3] => 2 [2,1,4,-3] => 5 [2,1,-4,3] => 5 [2,1,-4,-3] => 7 [2,-1,4,3] => 3 [2,-1,4,-3] => 6 [2,-1,-4,3] => 6 [2,-1,-4,-3] => 8 [-2,1,4,3] => 3 [-2,1,4,-3] => 6 [-2,1,-4,3] => 6 [-2,1,-4,-3] => 8 [-2,-1,4,3] => 3 [-2,-1,4,-3] => 6 [-2,-1,-4,3] => 6 [-2,-1,-4,-3] => 8 [2,3,1,4] => 2 [2,3,1,-4] => 6 [2,3,-1,4] => 3 [2,3,-1,-4] => 7 [2,-3,1,4] => 4 [2,-3,1,-4] => 8 [2,-3,-1,4] => 4 [2,-3,-1,-4] => 8 [-2,3,1,4] => 3 [-2,3,1,-4] => 7 [-2,3,-1,4] => 3 [-2,3,-1,-4] => 7 [-2,-3,1,4] => 4 [-2,-3,1,-4] => 8 [-2,-3,-1,4] => 5 [-2,-3,-1,-4] => 9 [2,3,4,1] => 3 [2,3,4,-1] => 4 [2,3,-4,1] => 6 [2,3,-4,-1] => 6 [2,-3,4,1] => 5 [2,-3,4,-1] => 5 [2,-3,-4,1] => 7 [2,-3,-4,-1] => 8 [-2,3,4,1] => 4 [-2,3,4,-1] => 4 [-2,3,-4,1] => 6 [-2,3,-4,-1] => 7 [-2,-3,4,1] => 5 [-2,-3,4,-1] => 6 [-2,-3,-4,1] => 8 [-2,-3,-4,-1] => 8 [2,4,1,3] => 3 [2,4,1,-3] => 6 [2,4,-1,3] => 4 [2,4,-1,-3] => 6 [2,-4,1,3] => 5 [2,-4,1,-3] => 7 [2,-4,-1,3] => 5 [2,-4,-1,-3] => 8 [-2,4,1,3] => 4 [-2,4,1,-3] => 6 [-2,4,-1,3] => 4 [-2,4,-1,-3] => 7 [-2,-4,1,3] => 5 [-2,-4,1,-3] => 8 [-2,-4,-1,3] => 6 [-2,-4,-1,-3] => 8 [2,4,3,1] => 3 [2,4,3,-1] => 4 [2,4,-3,1] => 6 [2,4,-3,-1] => 6 [2,-4,3,1] => 5 [2,-4,3,-1] => 5 [2,-4,-3,1] => 7 [2,-4,-3,-1] => 8 [-2,4,3,1] => 4 [-2,4,3,-1] => 4 [-2,4,-3,1] => 6 [-2,4,-3,-1] => 7 [-2,-4,3,1] => 5 [-2,-4,3,-1] => 6 [-2,-4,-3,1] => 8 [-2,-4,-3,-1] => 8 [3,1,2,4] => 2 [3,1,2,-4] => 6 [3,1,-2,4] => 4 [3,1,-2,-4] => 8 [3,-1,2,4] => 3 [3,-1,2,-4] => 7 [3,-1,-2,4] => 4 [3,-1,-2,-4] => 8 [-3,1,2,4] => 3 [-3,1,2,-4] => 7 [-3,1,-2,4] => 4 [-3,1,-2,-4] => 8 [-3,-1,2,4] => 3 [-3,-1,2,-4] => 7 [-3,-1,-2,4] => 5 [-3,-1,-2,-4] => 9 [3,1,4,2] => 3 [3,1,4,-2] => 5 [3,1,-4,2] => 6 [3,1,-4,-2] => 7 [3,-1,4,2] => 4 [3,-1,4,-2] => 5 [3,-1,-4,2] => 6 [3,-1,-4,-2] => 8 [-3,1,4,2] => 4 [-3,1,4,-2] => 5 [-3,1,-4,2] => 6 [-3,1,-4,-2] => 8 [-3,-1,4,2] => 4 [-3,-1,4,-2] => 6 [-3,-1,-4,2] => 7 [-3,-1,-4,-2] => 8 [3,2,1,4] => 2 [3,2,1,-4] => 6 [3,2,-1,4] => 3 [3,2,-1,-4] => 7 [3,-2,1,4] => 4 [3,-2,1,-4] => 8 [3,-2,-1,4] => 4 [3,-2,-1,-4] => 8 [-3,2,1,4] => 3 [-3,2,1,-4] => 7 [-3,2,-1,4] => 3 [-3,2,-1,-4] => 7 [-3,-2,1,4] => 4 [-3,-2,1,-4] => 8 [-3,-2,-1,4] => 5 [-3,-2,-1,-4] => 9 [3,2,4,1] => 3 [3,2,4,-1] => 4 [3,2,-4,1] => 6 [3,2,-4,-1] => 6 [3,-2,4,1] => 5 [3,-2,4,-1] => 5 [3,-2,-4,1] => 7 [3,-2,-4,-1] => 8 [-3,2,4,1] => 4 [-3,2,4,-1] => 4 [-3,2,-4,1] => 6 [-3,2,-4,-1] => 7 [-3,-2,4,1] => 5 [-3,-2,4,-1] => 6 [-3,-2,-4,1] => 8 [-3,-2,-4,-1] => 8 [3,4,1,2] => 4 [3,4,1,-2] => 6 [3,4,-1,2] => 5 [3,4,-1,-2] => 6 [3,-4,1,2] => 6 [3,-4,1,-2] => 7 [3,-4,-1,2] => 6 [3,-4,-1,-2] => 8 [-3,4,1,2] => 5 [-3,4,1,-2] => 6 [-3,4,-1,2] => 5 [-3,4,-1,-2] => 7 [-3,-4,1,2] => 6 [-3,-4,1,-2] => 8 [-3,-4,-1,2] => 7 [-3,-4,-1,-2] => 8 [3,4,2,1] => 4 [3,4,2,-1] => 5 [3,4,-2,1] => 6 [3,4,-2,-1] => 6 [3,-4,2,1] => 6 [3,-4,2,-1] => 6 [3,-4,-2,1] => 7 [3,-4,-2,-1] => 8 [-3,4,2,1] => 5 [-3,4,2,-1] => 5 [-3,4,-2,1] => 6 [-3,4,-2,-1] => 7 [-3,-4,2,1] => 6 [-3,-4,2,-1] => 7 [-3,-4,-2,1] => 8 [-3,-4,-2,-1] => 8 [4,1,2,3] => 3 [4,1,2,-3] => 6 [4,1,-2,3] => 5 [4,1,-2,-3] => 7 [4,-1,2,3] => 4 [4,-1,2,-3] => 6 [4,-1,-2,3] => 5 [4,-1,-2,-3] => 8 [-4,1,2,3] => 4 [-4,1,2,-3] => 6 [-4,1,-2,3] => 5 [-4,1,-2,-3] => 8 [-4,-1,2,3] => 4 [-4,-1,2,-3] => 7 [-4,-1,-2,3] => 6 [-4,-1,-2,-3] => 8 [4,1,3,2] => 3 [4,1,3,-2] => 5 [4,1,-3,2] => 6 [4,1,-3,-2] => 7 [4,-1,3,2] => 4 [4,-1,3,-2] => 5 [4,-1,-3,2] => 6 [4,-1,-3,-2] => 8 [-4,1,3,2] => 4 [-4,1,3,-2] => 5 [-4,1,-3,2] => 6 [-4,1,-3,-2] => 8 [-4,-1,3,2] => 4 [-4,-1,3,-2] => 6 [-4,-1,-3,2] => 7 [-4,-1,-3,-2] => 8 [4,2,1,3] => 3 [4,2,1,-3] => 6 [4,2,-1,3] => 4 [4,2,-1,-3] => 6 [4,-2,1,3] => 5 [4,-2,1,-3] => 7 [4,-2,-1,3] => 5 [4,-2,-1,-3] => 8 [-4,2,1,3] => 4 [-4,2,1,-3] => 6 [-4,2,-1,3] => 4 [-4,2,-1,-3] => 7 [-4,-2,1,3] => 5 [-4,-2,1,-3] => 8 [-4,-2,-1,3] => 6 [-4,-2,-1,-3] => 8 [4,2,3,1] => 3 [4,2,3,-1] => 4 [4,2,-3,1] => 6 [4,2,-3,-1] => 6 [4,-2,3,1] => 5 [4,-2,3,-1] => 5 [4,-2,-3,1] => 7 [4,-2,-3,-1] => 8 [-4,2,3,1] => 4 [-4,2,3,-1] => 4 [-4,2,-3,1] => 6 [-4,2,-3,-1] => 7 [-4,-2,3,1] => 5 [-4,-2,3,-1] => 6 [-4,-2,-3,1] => 8 [-4,-2,-3,-1] => 8 [4,3,1,2] => 4 [4,3,1,-2] => 6 [4,3,-1,2] => 5 [4,3,-1,-2] => 6 [4,-3,1,2] => 6 [4,-3,1,-2] => 7 [4,-3,-1,2] => 6 [4,-3,-1,-2] => 8 [-4,3,1,2] => 5 [-4,3,1,-2] => 6 [-4,3,-1,2] => 5 [-4,3,-1,-2] => 7 [-4,-3,1,2] => 6 [-4,-3,1,-2] => 8 [-4,-3,-1,2] => 7 [-4,-3,-1,-2] => 8 [4,3,2,1] => 4 [4,3,2,-1] => 5 [4,3,-2,1] => 6 [4,3,-2,-1] => 6 [4,-3,2,1] => 6 [4,-3,2,-1] => 6 [4,-3,-2,1] => 7 [4,-3,-2,-1] => 8 [-4,3,2,1] => 5 [-4,3,2,-1] => 5 [-4,3,-2,1] => 6 [-4,3,-2,-1] => 7 [-4,-3,2,1] => 6 [-4,-3,2,-1] => 7 [-4,-3,-2,1] => 8 [-4,-3,-2,-1] => 8 [1,2,3,4,5] => 0 [1,2,3,4,-5] => 5 [1,2,3,-4,5] => 4 [1,2,3,-4,-5] => 9 [1,2,-3,4,5] => 3 [1,2,-3,4,-5] => 8 [1,2,-3,-4,5] => 7 [1,2,-3,-4,-5] => 12 [1,-2,3,4,5] => 2 [1,-2,3,4,-5] => 7 [1,-2,3,-4,5] => 6 [1,-2,3,-4,-5] => 11 [1,-2,-3,4,5] => 5 [1,-2,-3,4,-5] => 10 [1,-2,-3,-4,5] => 9 [1,-2,-3,-4,-5] => 14 [-1,2,3,4,5] => 1 [-1,2,3,4,-5] => 6 [-1,2,3,-4,5] => 5 [-1,2,3,-4,-5] => 10 [-1,2,-3,4,5] => 4 [-1,2,-3,4,-5] => 9 [-1,2,-3,-4,5] => 8 [-1,2,-3,-4,-5] => 13 [-1,-2,3,4,5] => 3 [-1,-2,3,4,-5] => 8 [-1,-2,3,-4,5] => 7 [-1,-2,3,-4,-5] => 12 [-1,-2,-3,4,5] => 6 [-1,-2,-3,4,-5] => 11 [-1,-2,-3,-4,5] => 10 [-1,-2,-3,-4,-5] => 15 [1,2,3,5,4] => 1 [1,2,3,5,-4] => 5 [1,2,3,-5,4] => 5 [1,2,3,-5,-4] => 8 [1,2,-3,5,4] => 4 [1,2,-3,5,-4] => 8 [1,2,-3,-5,4] => 8 [1,2,-3,-5,-4] => 11 [1,-2,3,5,4] => 3 [1,-2,3,5,-4] => 7 [1,-2,3,-5,4] => 7 [1,-2,3,-5,-4] => 10 [1,-2,-3,5,4] => 6 [1,-2,-3,5,-4] => 10 [1,-2,-3,-5,4] => 10 [1,-2,-3,-5,-4] => 13 [-1,2,3,5,4] => 2 [-1,2,3,5,-4] => 6 [-1,2,3,-5,4] => 6 [-1,2,3,-5,-4] => 9 [-1,2,-3,5,4] => 5 [-1,2,-3,5,-4] => 9 [-1,2,-3,-5,4] => 9 [-1,2,-3,-5,-4] => 12 [-1,-2,3,5,4] => 4 [-1,-2,3,5,-4] => 8 [-1,-2,3,-5,4] => 8 [-1,-2,3,-5,-4] => 11 [-1,-2,-3,5,4] => 7 [-1,-2,-3,5,-4] => 11 [-1,-2,-3,-5,4] => 11 [-1,-2,-3,-5,-4] => 14 [1,2,4,3,5] => 1 [1,2,4,3,-5] => 6 [1,2,4,-3,5] => 4 [1,2,4,-3,-5] => 9 [1,2,-4,3,5] => 4 [1,2,-4,3,-5] => 9 [1,2,-4,-3,5] => 6 [1,2,-4,-3,-5] => 11 [1,-2,4,3,5] => 3 [1,-2,4,3,-5] => 8 [1,-2,4,-3,5] => 6 [1,-2,4,-3,-5] => 11 [1,-2,-4,3,5] => 6 [1,-2,-4,3,-5] => 11 [1,-2,-4,-3,5] => 8 [1,-2,-4,-3,-5] => 13 [-1,2,4,3,5] => 2 [-1,2,4,3,-5] => 7 [-1,2,4,-3,5] => 5 [-1,2,4,-3,-5] => 10 [-1,2,-4,3,5] => 5 [-1,2,-4,3,-5] => 10 [-1,2,-4,-3,5] => 7 [-1,2,-4,-3,-5] => 12 [-1,-2,4,3,5] => 4 [-1,-2,4,3,-5] => 9 [-1,-2,4,-3,5] => 7 [-1,-2,4,-3,-5] => 12 [-1,-2,-4,3,5] => 7 [-1,-2,-4,3,-5] => 12 [-1,-2,-4,-3,5] => 9 [-1,-2,-4,-3,-5] => 14 [1,2,4,5,3] => 2 [1,2,4,5,-3] => 5 [1,2,4,-5,3] => 6 [1,2,4,-5,-3] => 8 [1,2,-4,5,3] => 5 [1,2,-4,5,-3] => 7 [1,2,-4,-5,3] => 8 [1,2,-4,-5,-3] => 11 [1,-2,4,5,3] => 4 [1,-2,4,5,-3] => 7 [1,-2,4,-5,3] => 8 [1,-2,4,-5,-3] => 10 [1,-2,-4,5,3] => 7 [1,-2,-4,5,-3] => 9 [1,-2,-4,-5,3] => 10 [1,-2,-4,-5,-3] => 13 [-1,2,4,5,3] => 3 [-1,2,4,5,-3] => 6 [-1,2,4,-5,3] => 7 [-1,2,4,-5,-3] => 9 [-1,2,-4,5,3] => 6 [-1,2,-4,5,-3] => 8 [-1,2,-4,-5,3] => 9 [-1,2,-4,-5,-3] => 12 [-1,-2,4,5,3] => 5 [-1,-2,4,5,-3] => 8 [-1,-2,4,-5,3] => 9 [-1,-2,4,-5,-3] => 11 [-1,-2,-4,5,3] => 8 [-1,-2,-4,5,-3] => 10 [-1,-2,-4,-5,3] => 11 [-1,-2,-4,-5,-3] => 14 [1,2,5,3,4] => 2 [1,2,5,3,-4] => 6 [1,2,5,-3,4] => 5 [1,2,5,-3,-4] => 8 [1,2,-5,3,4] => 5 [1,2,-5,3,-4] => 8 [1,2,-5,-3,4] => 7 [1,2,-5,-3,-4] => 11 [1,-2,5,3,4] => 4 [1,-2,5,3,-4] => 8 [1,-2,5,-3,4] => 7 [1,-2,5,-3,-4] => 10 [1,-2,-5,3,4] => 7 [1,-2,-5,3,-4] => 10 [1,-2,-5,-3,4] => 9 [1,-2,-5,-3,-4] => 13 [-1,2,5,3,4] => 3 [-1,2,5,3,-4] => 7 [-1,2,5,-3,4] => 6 [-1,2,5,-3,-4] => 9 [-1,2,-5,3,4] => 6 [-1,2,-5,3,-4] => 9 [-1,2,-5,-3,4] => 8 [-1,2,-5,-3,-4] => 12 [-1,-2,5,3,4] => 5 [-1,-2,5,3,-4] => 9 [-1,-2,5,-3,4] => 8 [-1,-2,5,-3,-4] => 11 [-1,-2,-5,3,4] => 8 [-1,-2,-5,3,-4] => 11 [-1,-2,-5,-3,4] => 10 [-1,-2,-5,-3,-4] => 14 [1,2,5,4,3] => 2 [1,2,5,4,-3] => 5 [1,2,5,-4,3] => 6 [1,2,5,-4,-3] => 8 [1,2,-5,4,3] => 5 [1,2,-5,4,-3] => 7 [1,2,-5,-4,3] => 8 [1,2,-5,-4,-3] => 11 [1,-2,5,4,3] => 4 [1,-2,5,4,-3] => 7 [1,-2,5,-4,3] => 8 [1,-2,5,-4,-3] => 10 [1,-2,-5,4,3] => 7 [1,-2,-5,4,-3] => 9 [1,-2,-5,-4,3] => 10 [1,-2,-5,-4,-3] => 13 [-1,2,5,4,3] => 3 [-1,2,5,4,-3] => 6 [-1,2,5,-4,3] => 7 [-1,2,5,-4,-3] => 9 [-1,2,-5,4,3] => 6 [-1,2,-5,4,-3] => 8 [-1,2,-5,-4,3] => 9 [-1,2,-5,-4,-3] => 12 [-1,-2,5,4,3] => 5 [-1,-2,5,4,-3] => 8 [-1,-2,5,-4,3] => 9 [-1,-2,5,-4,-3] => 11 [-1,-2,-5,4,3] => 8 [-1,-2,-5,4,-3] => 10 [-1,-2,-5,-4,3] => 11 [-1,-2,-5,-4,-3] => 14 [1,3,2,4,5] => 1 [1,3,2,4,-5] => 6 [1,3,2,-4,5] => 5 [1,3,2,-4,-5] => 10 [1,3,-2,4,5] => 3 [1,3,-2,4,-5] => 8 [1,3,-2,-4,5] => 7 [1,3,-2,-4,-5] => 12 [1,-3,2,4,5] => 3 [1,-3,2,4,-5] => 8 [1,-3,2,-4,5] => 7 [1,-3,2,-4,-5] => 12 [1,-3,-2,4,5] => 4 [1,-3,-2,4,-5] => 9 [1,-3,-2,-4,5] => 8 [1,-3,-2,-4,-5] => 13 [-1,3,2,4,5] => 2 [-1,3,2,4,-5] => 7 [-1,3,2,-4,5] => 6 [-1,3,2,-4,-5] => 11 [-1,3,-2,4,5] => 4 [-1,3,-2,4,-5] => 9 [-1,3,-2,-4,5] => 8 [-1,3,-2,-4,-5] => 13 [-1,-3,2,4,5] => 4 [-1,-3,2,4,-5] => 9 [-1,-3,2,-4,5] => 8 [-1,-3,2,-4,-5] => 13 [-1,-3,-2,4,5] => 5 [-1,-3,-2,4,-5] => 10 [-1,-3,-2,-4,5] => 9 [-1,-3,-2,-4,-5] => 14 [1,3,2,5,4] => 2 [1,3,2,5,-4] => 6 [1,3,2,-5,4] => 6 [1,3,2,-5,-4] => 9 [1,3,-2,5,4] => 4 [1,3,-2,5,-4] => 8 [1,3,-2,-5,4] => 8 [1,3,-2,-5,-4] => 11 [1,-3,2,5,4] => 4 [1,-3,2,5,-4] => 8 [1,-3,2,-5,4] => 8 [1,-3,2,-5,-4] => 11 [1,-3,-2,5,4] => 5 [1,-3,-2,5,-4] => 9 [1,-3,-2,-5,4] => 9 [1,-3,-2,-5,-4] => 12 [-1,3,2,5,4] => 3 [-1,3,2,5,-4] => 7 [-1,3,2,-5,4] => 7 [-1,3,2,-5,-4] => 10 [-1,3,-2,5,4] => 5 [-1,3,-2,5,-4] => 9 [-1,3,-2,-5,4] => 9 [-1,3,-2,-5,-4] => 12 [-1,-3,2,5,4] => 5 [-1,-3,2,5,-4] => 9 [-1,-3,2,-5,4] => 9 [-1,-3,2,-5,-4] => 12 [-1,-3,-2,5,4] => 6 [-1,-3,-2,5,-4] => 10 [-1,-3,-2,-5,4] => 10 [-1,-3,-2,-5,-4] => 13 [1,3,4,2,5] => 2 [1,3,4,2,-5] => 7 [1,3,4,-2,5] => 4 [1,3,4,-2,-5] => 9 [1,3,-4,2,5] => 5 [1,3,-4,2,-5] => 10 [1,3,-4,-2,5] => 6 [1,3,-4,-2,-5] => 11 [1,-3,4,2,5] => 4 [1,-3,4,2,-5] => 9 [1,-3,4,-2,5] => 5 [1,-3,4,-2,-5] => 10 [1,-3,-4,2,5] => 6 [1,-3,-4,2,-5] => 11 [1,-3,-4,-2,5] => 8 [1,-3,-4,-2,-5] => 13 [-1,3,4,2,5] => 3 [-1,3,4,2,-5] => 8 [-1,3,4,-2,5] => 5 [-1,3,4,-2,-5] => 10 [-1,3,-4,2,5] => 6 [-1,3,-4,2,-5] => 11 [-1,3,-4,-2,5] => 7 [-1,3,-4,-2,-5] => 12 [-1,-3,4,2,5] => 5 [-1,-3,4,2,-5] => 10 [-1,-3,4,-2,5] => 6 [-1,-3,4,-2,-5] => 11 [-1,-3,-4,2,5] => 7 [-1,-3,-4,2,-5] => 12 [-1,-3,-4,-2,5] => 9 [-1,-3,-4,-2,-5] => 14 [1,3,4,5,2] => 3 [1,3,4,5,-2] => 5 [1,3,4,-5,2] => 7 [1,3,4,-5,-2] => 8 [1,3,-4,5,2] => 6 [1,3,-4,5,-2] => 7 [1,3,-4,-5,2] => 9 [1,3,-4,-5,-2] => 11 [1,-3,4,5,2] => 5 [1,-3,4,5,-2] => 6 [1,-3,4,-5,2] => 8 [1,-3,4,-5,-2] => 10 [1,-3,-4,5,2] => 7 [1,-3,-4,5,-2] => 9 [1,-3,-4,-5,2] => 11 [1,-3,-4,-5,-2] => 12 [-1,3,4,5,2] => 4 [-1,3,4,5,-2] => 6 [-1,3,4,-5,2] => 8 [-1,3,4,-5,-2] => 9 [-1,3,-4,5,2] => 7 [-1,3,-4,5,-2] => 8 [-1,3,-4,-5,2] => 10 [-1,3,-4,-5,-2] => 12 [-1,-3,4,5,2] => 6 [-1,-3,4,5,-2] => 7 [-1,-3,4,-5,2] => 9 [-1,-3,4,-5,-2] => 11 [-1,-3,-4,5,2] => 8 [-1,-3,-4,5,-2] => 10 [-1,-3,-4,-5,2] => 12 [-1,-3,-4,-5,-2] => 13 [1,3,5,2,4] => 3 [1,3,5,2,-4] => 7 [1,3,5,-2,4] => 5 [1,3,5,-2,-4] => 8 [1,3,-5,2,4] => 6 [1,3,-5,2,-4] => 9 [1,3,-5,-2,4] => 7 [1,3,-5,-2,-4] => 11 [1,-3,5,2,4] => 5 [1,-3,5,2,-4] => 8 [1,-3,5,-2,4] => 6 [1,-3,5,-2,-4] => 10 [1,-3,-5,2,4] => 7 [1,-3,-5,2,-4] => 11 [1,-3,-5,-2,4] => 9 [1,-3,-5,-2,-4] => 12 [-1,3,5,2,4] => 4 [-1,3,5,2,-4] => 8 [-1,3,5,-2,4] => 6 [-1,3,5,-2,-4] => 9 [-1,3,-5,2,4] => 7 [-1,3,-5,2,-4] => 10 [-1,3,-5,-2,4] => 8 [-1,3,-5,-2,-4] => 12 [-1,-3,5,2,4] => 6 [-1,-3,5,2,-4] => 9 [-1,-3,5,-2,4] => 7 [-1,-3,5,-2,-4] => 11 [-1,-3,-5,2,4] => 8 [-1,-3,-5,2,-4] => 12 [-1,-3,-5,-2,4] => 10 [-1,-3,-5,-2,-4] => 13 [1,3,5,4,2] => 3 [1,3,5,4,-2] => 5 [1,3,5,-4,2] => 7 [1,3,5,-4,-2] => 8 [1,3,-5,4,2] => 6 [1,3,-5,4,-2] => 7 [1,3,-5,-4,2] => 9 [1,3,-5,-4,-2] => 11 [1,-3,5,4,2] => 5 [1,-3,5,4,-2] => 6 [1,-3,5,-4,2] => 8 [1,-3,5,-4,-2] => 10 [1,-3,-5,4,2] => 7 [1,-3,-5,4,-2] => 9 [1,-3,-5,-4,2] => 11 [1,-3,-5,-4,-2] => 12 [-1,3,5,4,2] => 4 [-1,3,5,4,-2] => 6 [-1,3,5,-4,2] => 8 [-1,3,5,-4,-2] => 9 [-1,3,-5,4,2] => 7 [-1,3,-5,4,-2] => 8 [-1,3,-5,-4,2] => 10 [-1,3,-5,-4,-2] => 12 [-1,-3,5,4,2] => 6 [-1,-3,5,4,-2] => 7 [-1,-3,5,-4,2] => 9 [-1,-3,5,-4,-2] => 11 [-1,-3,-5,4,2] => 8 [-1,-3,-5,4,-2] => 10 [-1,-3,-5,-4,2] => 12 [-1,-3,-5,-4,-2] => 13 [1,4,2,3,5] => 2 [1,4,2,3,-5] => 7 [1,4,2,-3,5] => 5 [1,4,2,-3,-5] => 10 [1,4,-2,3,5] => 4 [1,4,-2,3,-5] => 9 [1,4,-2,-3,5] => 6 [1,4,-2,-3,-5] => 11 [1,-4,2,3,5] => 4 [1,-4,2,3,-5] => 9 [1,-4,2,-3,5] => 6 [1,-4,2,-3,-5] => 11 [1,-4,-2,3,5] => 5 [1,-4,-2,3,-5] => 10 [1,-4,-2,-3,5] => 8 [1,-4,-2,-3,-5] => 13 [-1,4,2,3,5] => 3 [-1,4,2,3,-5] => 8 [-1,4,2,-3,5] => 6 [-1,4,2,-3,-5] => 11 [-1,4,-2,3,5] => 5 [-1,4,-2,3,-5] => 10 [-1,4,-2,-3,5] => 7 [-1,4,-2,-3,-5] => 12 [-1,-4,2,3,5] => 5 [-1,-4,2,3,-5] => 10 [-1,-4,2,-3,5] => 7 [-1,-4,2,-3,-5] => 12 [-1,-4,-2,3,5] => 6 [-1,-4,-2,3,-5] => 11 [-1,-4,-2,-3,5] => 9 [-1,-4,-2,-3,-5] => 14 [1,4,2,5,3] => 3 [1,4,2,5,-3] => 6 [1,4,2,-5,3] => 7 [1,4,2,-5,-3] => 9 [1,4,-2,5,3] => 5 [1,4,-2,5,-3] => 7 [1,4,-2,-5,3] => 8 [1,4,-2,-5,-3] => 11 [1,-4,2,5,3] => 5 [1,-4,2,5,-3] => 7 [1,-4,2,-5,3] => 8 [1,-4,2,-5,-3] => 11 [1,-4,-2,5,3] => 6 [1,-4,-2,5,-3] => 9 [1,-4,-2,-5,3] => 10 [1,-4,-2,-5,-3] => 12 [-1,4,2,5,3] => 4 [-1,4,2,5,-3] => 7 [-1,4,2,-5,3] => 8 [-1,4,2,-5,-3] => 10 [-1,4,-2,5,3] => 6 [-1,4,-2,5,-3] => 8 [-1,4,-2,-5,3] => 9 [-1,4,-2,-5,-3] => 12 [-1,-4,2,5,3] => 6 [-1,-4,2,5,-3] => 8 [-1,-4,2,-5,3] => 9 [-1,-4,2,-5,-3] => 12 [-1,-4,-2,5,3] => 7 [-1,-4,-2,5,-3] => 10 [-1,-4,-2,-5,3] => 11 [-1,-4,-2,-5,-3] => 13 [1,4,3,2,5] => 2 [1,4,3,2,-5] => 7 [1,4,3,-2,5] => 4 [1,4,3,-2,-5] => 9 [1,4,-3,2,5] => 5 [1,4,-3,2,-5] => 10 [1,4,-3,-2,5] => 6 [1,4,-3,-2,-5] => 11 [1,-4,3,2,5] => 4 [1,-4,3,2,-5] => 9 [1,-4,3,-2,5] => 5 [1,-4,3,-2,-5] => 10 [1,-4,-3,2,5] => 6 [1,-4,-3,2,-5] => 11 [1,-4,-3,-2,5] => 8 [1,-4,-3,-2,-5] => 13 [-1,4,3,2,5] => 3 [-1,4,3,2,-5] => 8 [-1,4,3,-2,5] => 5 [-1,4,3,-2,-5] => 10 [-1,4,-3,2,5] => 6 [-1,4,-3,2,-5] => 11 [-1,4,-3,-2,5] => 7 [-1,4,-3,-2,-5] => 12 [-1,-4,3,2,5] => 5 [-1,-4,3,2,-5] => 10 [-1,-4,3,-2,5] => 6 [-1,-4,3,-2,-5] => 11 [-1,-4,-3,2,5] => 7 [-1,-4,-3,2,-5] => 12 [-1,-4,-3,-2,5] => 9 [-1,-4,-3,-2,-5] => 14 [1,4,3,5,2] => 3 [1,4,3,5,-2] => 5 [1,4,3,-5,2] => 7 [1,4,3,-5,-2] => 8 [1,4,-3,5,2] => 6 [1,4,-3,5,-2] => 7 [1,4,-3,-5,2] => 9 [1,4,-3,-5,-2] => 11 [1,-4,3,5,2] => 5 [1,-4,3,5,-2] => 6 [1,-4,3,-5,2] => 8 [1,-4,3,-5,-2] => 10 [1,-4,-3,5,2] => 7 [1,-4,-3,5,-2] => 9 [1,-4,-3,-5,2] => 11 [1,-4,-3,-5,-2] => 12 [-1,4,3,5,2] => 4 [-1,4,3,5,-2] => 6 [-1,4,3,-5,2] => 8 [-1,4,3,-5,-2] => 9 [-1,4,-3,5,2] => 7 [-1,4,-3,5,-2] => 8 [-1,4,-3,-5,2] => 10 [-1,4,-3,-5,-2] => 12 [-1,-4,3,5,2] => 6 [-1,-4,3,5,-2] => 7 [-1,-4,3,-5,2] => 9 [-1,-4,3,-5,-2] => 11 [-1,-4,-3,5,2] => 8 [-1,-4,-3,5,-2] => 10 [-1,-4,-3,-5,2] => 12 [-1,-4,-3,-5,-2] => 13 [1,4,5,2,3] => 4 [1,4,5,2,-3] => 7 [1,4,5,-2,3] => 6 [1,4,5,-2,-3] => 8 [1,4,-5,2,3] => 7 [1,4,-5,2,-3] => 9 [1,4,-5,-2,3] => 8 [1,4,-5,-2,-3] => 11 [1,-4,5,2,3] => 6 [1,-4,5,2,-3] => 8 [1,-4,5,-2,3] => 7 [1,-4,5,-2,-3] => 10 [1,-4,-5,2,3] => 8 [1,-4,-5,2,-3] => 11 [1,-4,-5,-2,3] => 10 [1,-4,-5,-2,-3] => 12 [-1,4,5,2,3] => 5 [-1,4,5,2,-3] => 8 [-1,4,5,-2,3] => 7 [-1,4,5,-2,-3] => 9 [-1,4,-5,2,3] => 8 [-1,4,-5,2,-3] => 10 [-1,4,-5,-2,3] => 9 [-1,4,-5,-2,-3] => 12 [-1,-4,5,2,3] => 7 [-1,-4,5,2,-3] => 9 [-1,-4,5,-2,3] => 8 [-1,-4,5,-2,-3] => 11 [-1,-4,-5,2,3] => 9 [-1,-4,-5,2,-3] => 12 [-1,-4,-5,-2,3] => 11 [-1,-4,-5,-2,-3] => 13 [1,4,5,3,2] => 4 [1,4,5,3,-2] => 6 [1,4,5,-3,2] => 7 [1,4,5,-3,-2] => 8 [1,4,-5,3,2] => 7 [1,4,-5,3,-2] => 8 [1,4,-5,-3,2] => 9 [1,4,-5,-3,-2] => 11 [1,-4,5,3,2] => 6 [1,-4,5,3,-2] => 7 [1,-4,5,-3,2] => 8 [1,-4,5,-3,-2] => 10 [1,-4,-5,3,2] => 8 [1,-4,-5,3,-2] => 10 [1,-4,-5,-3,2] => 11 [1,-4,-5,-3,-2] => 12 [-1,4,5,3,2] => 5 [-1,4,5,3,-2] => 7 [-1,4,5,-3,2] => 8 [-1,4,5,-3,-2] => 9 [-1,4,-5,3,2] => 8 [-1,4,-5,3,-2] => 9 [-1,4,-5,-3,2] => 10 [-1,4,-5,-3,-2] => 12 [-1,-4,5,3,2] => 7 [-1,-4,5,3,-2] => 8 [-1,-4,5,-3,2] => 9 [-1,-4,5,-3,-2] => 11 [-1,-4,-5,3,2] => 9 [-1,-4,-5,3,-2] => 11 [-1,-4,-5,-3,2] => 12 [-1,-4,-5,-3,-2] => 13 [1,5,2,3,4] => 3 [1,5,2,3,-4] => 7 [1,5,2,-3,4] => 6 [1,5,2,-3,-4] => 9 [1,5,-2,3,4] => 5 [1,5,-2,3,-4] => 8 [1,5,-2,-3,4] => 7 [1,5,-2,-3,-4] => 11 [1,-5,2,3,4] => 5 [1,-5,2,3,-4] => 8 [1,-5,2,-3,4] => 7 [1,-5,2,-3,-4] => 11 [1,-5,-2,3,4] => 6 [1,-5,-2,3,-4] => 10 [1,-5,-2,-3,4] => 9 [1,-5,-2,-3,-4] => 12 [-1,5,2,3,4] => 4 [-1,5,2,3,-4] => 8 [-1,5,2,-3,4] => 7 [-1,5,2,-3,-4] => 10 [-1,5,-2,3,4] => 6 [-1,5,-2,3,-4] => 9 [-1,5,-2,-3,4] => 8 [-1,5,-2,-3,-4] => 12 [-1,-5,2,3,4] => 6 [-1,-5,2,3,-4] => 9 [-1,-5,2,-3,4] => 8 [-1,-5,2,-3,-4] => 12 [-1,-5,-2,3,4] => 7 [-1,-5,-2,3,-4] => 11 [-1,-5,-2,-3,4] => 10 [-1,-5,-2,-3,-4] => 13 [1,5,2,4,3] => 3 [1,5,2,4,-3] => 6 [1,5,2,-4,3] => 7 [1,5,2,-4,-3] => 9 [1,5,-2,4,3] => 5 [1,5,-2,4,-3] => 7 [1,5,-2,-4,3] => 8 [1,5,-2,-4,-3] => 11 [1,-5,2,4,3] => 5 [1,-5,2,4,-3] => 7 [1,-5,2,-4,3] => 8 [1,-5,2,-4,-3] => 11 [1,-5,-2,4,3] => 6 [1,-5,-2,4,-3] => 9 [1,-5,-2,-4,3] => 10 [1,-5,-2,-4,-3] => 12 [-1,5,2,4,3] => 4 [-1,5,2,4,-3] => 7 [-1,5,2,-4,3] => 8 [-1,5,2,-4,-3] => 10 [-1,5,-2,4,3] => 6 [-1,5,-2,4,-3] => 8 [-1,5,-2,-4,3] => 9 [-1,5,-2,-4,-3] => 12 [-1,-5,2,4,3] => 6 [-1,-5,2,4,-3] => 8 [-1,-5,2,-4,3] => 9 [-1,-5,2,-4,-3] => 12 [-1,-5,-2,4,3] => 7 [-1,-5,-2,4,-3] => 10 [-1,-5,-2,-4,3] => 11 [-1,-5,-2,-4,-3] => 13 [1,5,3,2,4] => 3 [1,5,3,2,-4] => 7 [1,5,3,-2,4] => 5 [1,5,3,-2,-4] => 8 [1,5,-3,2,4] => 6 [1,5,-3,2,-4] => 9 [1,5,-3,-2,4] => 7 [1,5,-3,-2,-4] => 11 [1,-5,3,2,4] => 5 [1,-5,3,2,-4] => 8 [1,-5,3,-2,4] => 6 [1,-5,3,-2,-4] => 10 [1,-5,-3,2,4] => 7 [1,-5,-3,2,-4] => 11 [1,-5,-3,-2,4] => 9 [1,-5,-3,-2,-4] => 12 [-1,5,3,2,4] => 4 [-1,5,3,2,-4] => 8 [-1,5,3,-2,4] => 6 [-1,5,3,-2,-4] => 9 [-1,5,-3,2,4] => 7 [-1,5,-3,2,-4] => 10 [-1,5,-3,-2,4] => 8 [-1,5,-3,-2,-4] => 12 [-1,-5,3,2,4] => 6 [-1,-5,3,2,-4] => 9 [-1,-5,3,-2,4] => 7 [-1,-5,3,-2,-4] => 11 [-1,-5,-3,2,4] => 8 [-1,-5,-3,2,-4] => 12 [-1,-5,-3,-2,4] => 10 [-1,-5,-3,-2,-4] => 13 [1,5,3,4,2] => 3 [1,5,3,4,-2] => 5 [1,5,3,-4,2] => 7 [1,5,3,-4,-2] => 8 [1,5,-3,4,2] => 6 [1,5,-3,4,-2] => 7 [1,5,-3,-4,2] => 9 [1,5,-3,-4,-2] => 11 [1,-5,3,4,2] => 5 [1,-5,3,4,-2] => 6 [1,-5,3,-4,2] => 8 [1,-5,3,-4,-2] => 10 [1,-5,-3,4,2] => 7 [1,-5,-3,4,-2] => 9 [1,-5,-3,-4,2] => 11 [1,-5,-3,-4,-2] => 12 [-1,5,3,4,2] => 4 [-1,5,3,4,-2] => 6 [-1,5,3,-4,2] => 8 [-1,5,3,-4,-2] => 9 [-1,5,-3,4,2] => 7 [-1,5,-3,4,-2] => 8 [-1,5,-3,-4,2] => 10 [-1,5,-3,-4,-2] => 12 [-1,-5,3,4,2] => 6 [-1,-5,3,4,-2] => 7 [-1,-5,3,-4,2] => 9 [-1,-5,3,-4,-2] => 11 [-1,-5,-3,4,2] => 8 [-1,-5,-3,4,-2] => 10 [-1,-5,-3,-4,2] => 12 [-1,-5,-3,-4,-2] => 13 [1,5,4,2,3] => 4 [1,5,4,2,-3] => 7 [1,5,4,-2,3] => 6 [1,5,4,-2,-3] => 8 [1,5,-4,2,3] => 7 [1,5,-4,2,-3] => 9 [1,5,-4,-2,3] => 8 [1,5,-4,-2,-3] => 11 [1,-5,4,2,3] => 6 [1,-5,4,2,-3] => 8 [1,-5,4,-2,3] => 7 [1,-5,4,-2,-3] => 10 [1,-5,-4,2,3] => 8 [1,-5,-4,2,-3] => 11 [1,-5,-4,-2,3] => 10 [1,-5,-4,-2,-3] => 12 [-1,5,4,2,3] => 5 [-1,5,4,2,-3] => 8 [-1,5,4,-2,3] => 7 [-1,5,4,-2,-3] => 9 [-1,5,-4,2,3] => 8 [-1,5,-4,2,-3] => 10 [-1,5,-4,-2,3] => 9 [-1,5,-4,-2,-3] => 12 [-1,-5,4,2,3] => 7 [-1,-5,4,2,-3] => 9 [-1,-5,4,-2,3] => 8 [-1,-5,4,-2,-3] => 11 [-1,-5,-4,2,3] => 9 [-1,-5,-4,2,-3] => 12 [-1,-5,-4,-2,3] => 11 [-1,-5,-4,-2,-3] => 13 [1,5,4,3,2] => 4 [1,5,4,3,-2] => 6 [1,5,4,-3,2] => 7 [1,5,4,-3,-2] => 8 [1,5,-4,3,2] => 7 [1,5,-4,3,-2] => 8 [1,5,-4,-3,2] => 9 [1,5,-4,-3,-2] => 11 [1,-5,4,3,2] => 6 [1,-5,4,3,-2] => 7 [1,-5,4,-3,2] => 8 [1,-5,4,-3,-2] => 10 [1,-5,-4,3,2] => 8 [1,-5,-4,3,-2] => 10 [1,-5,-4,-3,2] => 11 [1,-5,-4,-3,-2] => 12 [-1,5,4,3,2] => 5 [-1,5,4,3,-2] => 7 [-1,5,4,-3,2] => 8 [-1,5,4,-3,-2] => 9 [-1,5,-4,3,2] => 8 [-1,5,-4,3,-2] => 9 ----------------------------------------------------------------------------- Created: Mar 31, 2023 at 20:59 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Mar 31, 2023 at 20:59 by Martin Rubey