***************************************************************************** * 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: St000988 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The orbit size of a permutation under Foata's bijection. ----------------------------------------------------------------------------- References: [1] Foata bijection [[Mp00067]] ----------------------------------------------------------------------------- Code: def foata_bijection(elt): L = list(elt) M = [] for e in L: M.append(e) k = len(M) if k <= 1: continue a = M[-2] M_prime = [0]*k if a > e: index_list = [-1] + [i for i in range(k - 1) if M[i] > e] else: index_list = [-1] + [i for i in range(k - 1) if M[i] < e] for j in range(1, len(index_list)): start = index_list[j-1] + 1 end = index_list[j] M_prime[start] = M[end] for x in range(start + 1, end + 1): M_prime[x] = M[x-1] M_prime[k-1] = e M = M_prime return Permutations()(M) def statistic(pi): l = 1 pi_new = pi while True: pi_new = foata_bijection(pi_new) if pi_new == pi: return l l += 1 ----------------------------------------------------------------------------- Statistic values: [1,2] => 1 [2,1] => 1 [1,2,3] => 1 [1,3,2] => 2 [2,1,3] => 1 [2,3,1] => 1 [3,1,2] => 2 [3,2,1] => 1 [1,2,3,4] => 1 [1,2,4,3] => 2 [1,3,2,4] => 2 [1,3,4,2] => 3 [1,4,2,3] => 1 [1,4,3,2] => 2 [2,1,3,4] => 1 [2,1,4,3] => 3 [2,3,1,4] => 1 [2,3,4,1] => 1 [2,4,1,3] => 3 [2,4,3,1] => 2 [3,1,2,4] => 2 [3,1,4,2] => 3 [3,2,1,4] => 1 [3,2,4,1] => 1 [3,4,1,2] => 3 [3,4,2,1] => 1 [4,1,2,3] => 2 [4,1,3,2] => 1 [4,2,1,3] => 3 [4,2,3,1] => 2 [4,3,1,2] => 2 [4,3,2,1] => 1 [1,2,3,4,5] => 1 [1,2,3,5,4] => 2 [1,2,4,3,5] => 2 [1,2,4,5,3] => 6 [1,2,5,3,4] => 2 [1,2,5,4,3] => 2 [1,3,2,4,5] => 2 [1,3,2,5,4] => 7 [1,3,4,2,5] => 3 [1,3,4,5,2] => 4 [1,3,5,2,4] => 7 [1,3,5,4,2] => 7 [1,4,2,3,5] => 1 [1,4,2,5,3] => 6 [1,4,3,2,5] => 2 [1,4,3,5,2] => 3 [1,4,5,2,3] => 6 [1,4,5,3,2] => 4 [1,5,2,3,4] => 2 [1,5,2,4,3] => 2 [1,5,3,2,4] => 7 [1,5,3,4,2] => 7 [1,5,4,2,3] => 1 [1,5,4,3,2] => 2 [2,1,3,4,5] => 1 [2,1,3,5,4] => 4 [2,1,4,3,5] => 3 [2,1,4,5,3] => 4 [2,1,5,3,4] => 4 [2,1,5,4,3] => 6 [2,3,1,4,5] => 1 [2,3,1,5,4] => 3 [2,3,4,1,5] => 1 [2,3,4,5,1] => 1 [2,3,5,1,4] => 3 [2,3,5,4,1] => 2 [2,4,1,3,5] => 3 [2,4,1,5,3] => 2 [2,4,3,1,5] => 2 [2,4,3,5,1] => 2 [2,4,5,1,3] => 4 [2,4,5,3,1] => 3 [2,5,1,3,4] => 4 [2,5,1,4,3] => 6 [2,5,3,1,4] => 1 [2,5,3,4,1] => 1 [2,5,4,1,3] => 6 [2,5,4,3,1] => 2 [3,1,2,4,5] => 2 [3,1,2,5,4] => 7 [3,1,4,2,5] => 3 [3,1,4,5,2] => 4 [3,1,5,2,4] => 1 [3,1,5,4,2] => 7 [3,2,1,4,5] => 1 [3,2,1,5,4] => 4 [3,2,4,1,5] => 1 [3,2,4,5,1] => 1 [3,2,5,1,4] => 4 [3,2,5,4,1] => 3 [3,4,1,2,5] => 3 [3,4,1,5,2] => 4 [3,4,2,1,5] => 1 [3,4,2,5,1] => 1 [3,4,5,1,2] => 4 [3,4,5,2,1] => 1 [3,5,1,2,4] => 7 [3,5,1,4,2] => 1 [3,5,2,1,4] => 4 [3,5,2,4,1] => 3 [3,5,4,1,2] => 7 [3,5,4,2,1] => 2 [4,1,2,3,5] => 2 [4,1,2,5,3] => 6 [4,1,3,2,5] => 1 [4,1,3,5,2] => 1 [4,1,5,2,3] => 6 [4,1,5,3,2] => 4 [4,2,1,3,5] => 3 [4,2,1,5,3] => 4 [4,2,3,1,5] => 2 [4,2,3,5,1] => 2 [4,2,5,1,3] => 2 [4,2,5,3,1] => 3 [4,3,1,2,5] => 2 [4,3,1,5,2] => 3 [4,3,2,1,5] => 1 [4,3,2,5,1] => 1 [4,3,5,1,2] => 3 [4,3,5,2,1] => 1 [4,5,1,2,3] => 6 [4,5,1,3,2] => 4 [4,5,2,1,3] => 4 [4,5,2,3,1] => 3 [4,5,3,1,2] => 4 [4,5,3,2,1] => 1 [5,1,2,3,4] => 2 [5,1,2,4,3] => 1 [5,1,3,2,4] => 7 [5,1,3,4,2] => 7 [5,1,4,2,3] => 2 [5,1,4,3,2] => 2 [5,2,1,3,4] => 4 [5,2,1,4,3] => 6 [5,2,3,1,4] => 3 [5,2,3,4,1] => 2 [5,2,4,1,3] => 6 [5,2,4,3,1] => 1 [5,3,1,2,4] => 7 [5,3,1,4,2] => 7 [5,3,2,1,4] => 4 [5,3,2,4,1] => 3 [5,3,4,1,2] => 7 [5,3,4,2,1] => 2 [5,4,1,2,3] => 2 [5,4,1,3,2] => 2 [5,4,2,1,3] => 6 [5,4,2,3,1] => 2 [5,4,3,1,2] => 2 [5,4,3,2,1] => 1 [1,2,3,4,5,6] => 1 [1,2,3,4,6,5] => 2 [1,2,3,5,4,6] => 2 [1,2,3,5,6,4] => 7 [1,2,3,6,4,5] => 2 [1,2,3,6,5,4] => 2 [1,2,4,3,5,6] => 2 [1,2,4,3,6,5] => 12 [1,2,4,5,3,6] => 6 [1,2,4,5,6,3] => 4 [1,2,4,6,3,5] => 12 [1,2,4,6,5,3] => 16 [1,2,5,3,4,6] => 2 [1,2,5,3,6,4] => 7 [1,2,5,4,3,6] => 2 [1,2,5,4,6,3] => 9 [1,2,5,6,3,4] => 3 [1,2,5,6,4,3] => 6 [1,2,6,3,4,5] => 1 [1,2,6,3,5,4] => 2 [1,2,6,4,3,5] => 12 [1,2,6,4,5,3] => 16 [1,2,6,5,3,4] => 2 [1,2,6,5,4,3] => 2 [1,3,2,4,5,6] => 2 [1,3,2,4,6,5] => 4 [1,3,2,5,4,6] => 7 [1,3,2,5,6,4] => 4 [1,3,2,6,4,5] => 4 [1,3,2,6,5,4] => 16 [1,3,4,2,5,6] => 3 [1,3,4,2,6,5] => 3 [1,3,4,5,2,6] => 4 [1,3,4,5,6,2] => 5 [1,3,4,6,2,5] => 3 [1,3,4,6,5,2] => 5 [1,3,5,2,4,6] => 7 [1,3,5,2,6,4] => 6 [1,3,5,4,2,6] => 7 [1,3,5,4,6,2] => 4 [1,3,5,6,2,4] => 9 [1,3,5,6,4,2] => 3 [1,3,6,2,4,5] => 3 [1,3,6,2,5,4] => 16 [1,3,6,4,2,5] => 4 [1,3,6,4,5,2] => 9 [1,3,6,5,2,4] => 16 [1,3,6,5,4,2] => 12 [1,4,2,3,5,6] => 1 [1,4,2,3,6,5] => 12 [1,4,2,5,3,6] => 6 [1,4,2,5,6,3] => 6 [1,4,2,6,3,5] => 2 [1,4,2,6,5,3] => 16 [1,4,3,2,5,6] => 2 [1,4,3,2,6,5] => 5 [1,4,3,5,2,6] => 3 [1,4,3,5,6,2] => 4 [1,4,3,6,2,5] => 9 [1,4,3,6,5,2] => 3 [1,4,5,2,3,6] => 6 [1,4,5,2,6,3] => 6 [1,4,5,3,2,6] => 4 [1,4,5,3,6,2] => 5 [1,4,5,6,2,3] => 6 [1,4,5,6,3,2] => 3 [1,4,6,2,3,5] => 12 [1,4,6,2,5,3] => 4 [1,4,6,3,2,5] => 5 [1,4,6,3,5,2] => 3 [1,4,6,5,2,3] => 16 [1,4,6,5,3,2] => 4 [1,5,2,3,4,6] => 2 [1,5,2,3,6,4] => 3 [1,5,2,4,3,6] => 2 [1,5,2,4,6,3] => 9 [1,5,2,6,3,4] => 7 [1,5,2,6,4,3] => 6 [1,5,3,2,4,6] => 7 [1,5,3,2,6,4] => 9 [1,5,3,4,2,6] => 7 [1,5,3,4,6,2] => 5 [1,5,3,6,2,4] => 9 [1,5,3,6,4,2] => 3 [1,5,4,2,3,6] => 1 [1,5,4,2,6,3] => 9 [1,5,4,3,2,6] => 2 [1,5,4,3,6,2] => 3 [1,5,4,6,2,3] => 9 [1,5,4,6,3,2] => 5 [1,5,6,2,3,4] => 7 [1,5,6,2,4,3] => 4 [1,5,6,3,2,4] => 1 [1,5,6,3,4,2] => 8 [1,5,6,4,2,3] => 4 [1,5,6,4,3,2] => 4 [1,6,2,3,4,5] => 2 [1,6,2,3,5,4] => 2 [1,6,2,4,3,5] => 12 [1,6,2,4,5,3] => 16 [1,6,2,5,3,4] => 1 [1,6,2,5,4,3] => 2 [1,6,3,2,4,5] => 3 [1,6,3,2,5,4] => 16 [1,6,3,4,2,5] => 1 [1,6,3,4,5,2] => 9 [1,6,3,5,2,4] => 16 [1,6,3,5,4,2] => 12 [1,6,4,2,3,5] => 12 [1,6,4,2,5,3] => 16 [1,6,4,3,2,5] => 9 [1,6,4,3,5,2] => 3 [1,6,4,5,2,3] => 16 [1,6,4,5,3,2] => 3 [1,6,5,2,3,4] => 2 [1,6,5,2,4,3] => 2 [1,6,5,3,2,4] => 16 [1,6,5,3,4,2] => 12 [1,6,5,4,2,3] => 1 [1,6,5,4,3,2] => 2 [2,1,3,4,5,6] => 1 [2,1,3,4,6,5] => 4 [2,1,3,5,4,6] => 4 [2,1,3,5,6,4] => 9 [2,1,3,6,4,5] => 4 [2,1,3,6,5,4] => 6 [2,1,4,3,5,6] => 3 [2,1,4,3,6,5] => 3 [2,1,4,5,3,6] => 4 [2,1,4,5,6,3] => 5 [2,1,4,6,3,5] => 3 [2,1,4,6,5,3] => 9 [2,1,5,3,4,6] => 4 [2,1,5,3,6,4] => 9 [2,1,5,4,3,6] => 6 [2,1,5,4,6,3] => 8 [2,1,5,6,3,4] => 9 [2,1,5,6,4,3] => 9 [2,1,6,3,4,5] => 1 [2,1,6,3,5,4] => 6 [2,1,6,4,3,5] => 8 [2,1,6,4,5,3] => 9 [2,1,6,5,3,4] => 6 [2,1,6,5,4,3] => 7 [2,3,1,4,5,6] => 1 [2,3,1,4,6,5] => 5 [2,3,1,5,4,6] => 3 [2,3,1,5,6,4] => 8 [2,3,1,6,4,5] => 5 [2,3,1,6,5,4] => 9 [2,3,4,1,5,6] => 1 [2,3,4,1,6,5] => 3 [2,3,4,5,1,6] => 1 [2,3,4,5,6,1] => 1 [2,3,4,6,1,5] => 3 [2,3,4,6,5,1] => 2 [2,3,5,1,4,6] => 3 [2,3,5,1,6,4] => 2 [2,3,5,4,1,6] => 2 [2,3,5,4,6,1] => 2 [2,3,5,6,1,4] => 8 [2,3,5,6,4,1] => 6 [2,3,6,1,4,5] => 5 [2,3,6,1,5,4] => 9 [2,3,6,4,1,5] => 2 [2,3,6,4,5,1] => 2 [2,3,6,5,1,4] => 9 [2,3,6,5,4,1] => 2 [2,4,1,3,5,6] => 3 [2,4,1,3,6,5] => 8 [2,4,1,5,3,6] => 2 [2,4,1,5,6,3] => 5 [2,4,1,6,3,5] => 8 [2,4,1,6,5,3] => 6 [2,4,3,1,5,6] => 2 [2,4,3,1,6,5] => 4 [2,4,3,5,1,6] => 2 [2,4,3,5,6,1] => 2 [2,4,3,6,1,5] => 5 [2,4,3,6,5,1] => 7 [2,4,5,1,3,6] => 4 [2,4,5,1,6,3] => 5 [2,4,5,3,1,6] => 3 [2,4,5,3,6,1] => 3 [2,4,5,6,1,3] => 5 [2,4,5,6,3,1] => 4 [2,4,6,1,3,5] => 3 [2,4,6,1,5,3] => 6 [2,4,6,3,1,5] => 4 [2,4,6,3,5,1] => 7 [2,4,6,5,1,3] => 4 [2,4,6,5,3,1] => 7 [2,5,1,3,4,6] => 4 [2,5,1,3,6,4] => 9 [2,5,1,4,3,6] => 6 [2,5,1,4,6,3] => 8 [2,5,1,6,3,4] => 1 [2,5,1,6,4,3] => 9 [2,5,3,1,4,6] => 1 [2,5,3,1,6,4] => 8 [2,5,3,4,1,6] => 1 [2,5,3,4,6,1] => 1 [2,5,3,6,1,4] => 8 [2,5,3,6,4,1] => 6 [2,5,4,1,3,6] => 6 [2,5,4,1,6,3] => 2 [2,5,4,3,1,6] => 2 [2,5,4,3,6,1] => 2 [2,5,4,6,1,3] => 8 [2,5,4,6,3,1] => 3 [2,5,6,1,3,4] => 9 [2,5,6,1,4,3] => 9 [2,5,6,3,1,4] => 8 [2,5,6,3,4,1] => 6 [2,5,6,4,1,3] => 9 [2,5,6,4,3,1] => 4 [2,6,1,3,4,5] => 4 [2,6,1,3,5,4] => 4 [2,6,1,4,3,5] => 1 [2,6,1,4,5,3] => 4 [2,6,1,5,3,4] => 4 [2,6,1,5,4,3] => 3 [2,6,3,1,4,5] => 5 [2,6,3,1,5,4] => 9 [2,6,3,4,1,5] => 2 [2,6,3,4,5,1] => 2 [2,6,3,5,1,4] => 9 [2,6,3,5,4,1] => 2 [2,6,4,1,3,5] => 8 [2,6,4,1,5,3] => 9 [2,6,4,3,1,5] => 5 [2,6,4,3,5,1] => 7 [2,6,4,5,1,3] => 9 [2,6,4,5,3,1] => 7 [2,6,5,1,3,4] => 6 [2,6,5,1,4,3] => 7 [2,6,5,3,1,4] => 1 [2,6,5,3,4,1] => 1 [2,6,5,4,1,3] => 7 [2,6,5,4,3,1] => 2 [3,1,2,4,5,6] => 2 [3,1,2,4,6,5] => 3 [3,1,2,5,4,6] => 7 [3,1,2,5,6,4] => 9 [3,1,2,6,4,5] => 3 [3,1,2,6,5,4] => 16 [3,1,4,2,5,6] => 3 [3,1,4,2,6,5] => 3 [3,1,4,5,2,6] => 4 [3,1,4,5,6,2] => 5 [3,1,4,6,2,5] => 3 [3,1,4,6,5,2] => 9 [3,1,5,2,4,6] => 1 [3,1,5,2,6,4] => 6 [3,1,5,4,2,6] => 7 [3,1,5,4,6,2] => 5 [3,1,5,6,2,4] => 6 [3,1,5,6,4,2] => 8 [3,1,6,2,4,5] => 3 [3,1,6,2,5,4] => 4 [3,1,6,4,2,5] => 4 [3,1,6,4,5,2] => 9 [3,1,6,5,2,4] => 4 [3,1,6,5,4,2] => 12 [3,2,1,4,5,6] => 1 [3,2,1,4,6,5] => 3 [3,2,1,5,4,6] => 4 [3,2,1,5,6,4] => 5 [3,2,1,6,4,5] => 2 [3,2,1,6,5,4] => 4 [3,2,4,1,5,6] => 1 [3,2,4,1,6,5] => 5 [3,2,4,5,1,6] => 1 [3,2,4,5,6,1] => 1 [3,2,4,6,1,5] => 5 [3,2,4,6,5,1] => 4 [3,2,5,1,4,6] => 4 [3,2,5,1,6,4] => 5 [3,2,5,4,1,6] => 3 [3,2,5,4,6,1] => 3 [3,2,5,6,1,4] => 5 [3,2,5,6,4,1] => 4 [3,2,6,1,4,5] => 3 [3,2,6,1,5,4] => 6 [3,2,6,4,1,5] => 5 [3,2,6,4,5,1] => 4 [3,2,6,5,1,4] => 6 [3,2,6,5,4,1] => 6 [3,4,1,2,5,6] => 3 [3,4,1,2,6,5] => 3 [3,4,1,5,2,6] => 4 [3,4,1,5,6,2] => 5 [3,4,1,6,2,5] => 1 [3,4,1,6,5,2] => 5 [3,4,2,1,5,6] => 1 [3,4,2,1,6,5] => 4 [3,4,2,5,1,6] => 1 [3,4,2,5,6,1] => 1 [3,4,2,6,1,5] => 4 [3,4,2,6,5,1] => 3 [3,4,5,1,2,6] => 4 [3,4,5,1,6,2] => 5 [3,4,5,2,1,6] => 1 [3,4,5,2,6,1] => 1 [3,4,5,6,1,2] => 5 [3,4,5,6,2,1] => 1 [3,4,6,1,2,5] => 3 [3,4,6,1,5,2] => 1 [3,4,6,2,1,5] => 4 [3,4,6,2,5,1] => 3 [3,4,6,5,1,2] => 9 [3,4,6,5,2,1] => 2 [3,5,1,2,4,6] => 7 [3,5,1,2,6,4] => 9 [3,5,1,4,2,6] => 1 [3,5,1,4,6,2] => 1 [3,5,1,6,2,4] => 6 [3,5,1,6,4,2] => 8 [3,5,2,1,4,6] => 4 [3,5,2,1,6,4] => 5 [3,5,2,4,1,6] => 3 [3,5,2,4,6,1] => 3 [3,5,2,6,1,4] => 5 [3,5,2,6,4,1] => 2 [3,5,4,1,2,6] => 7 [3,5,4,1,6,2] => 4 [3,5,4,2,1,6] => 2 [3,5,4,2,6,1] => 2 [3,5,4,6,1,2] => 5 [3,5,4,6,2,1] => 2 [3,5,6,1,2,4] => 4 [3,5,6,1,4,2] => 8 [3,5,6,2,1,4] => 5 [3,5,6,2,4,1] => 4 [3,5,6,4,1,2] => 3 [3,5,6,4,2,1] => 3 [3,6,1,2,4,5] => 4 [3,6,1,2,5,4] => 16 [3,6,1,4,2,5] => 4 [3,6,1,4,5,2] => 5 [3,6,1,5,2,4] => 4 [3,6,1,5,4,2] => 2 [3,6,2,1,4,5] => 2 [3,6,2,1,5,4] => 6 [3,6,2,4,1,5] => 5 [3,6,2,4,5,1] => 4 [3,6,2,5,1,4] => 4 [3,6,2,5,4,1] => 6 [3,6,4,1,2,5] => 4 [3,6,4,1,5,2] => 9 [3,6,4,2,1,5] => 1 [3,6,4,2,5,1] => 1 [3,6,4,5,1,2] => 9 [3,6,4,5,2,1] => 1 [3,6,5,1,2,4] => 16 [3,6,5,1,4,2] => 1 [3,6,5,2,1,4] => 4 [3,6,5,2,4,1] => 6 [3,6,5,4,1,2] => 12 [3,6,5,4,2,1] => 2 [4,1,2,3,5,6] => 2 [4,1,2,3,6,5] => 12 [4,1,2,5,3,6] => 6 [4,1,2,5,6,3] => 4 [4,1,2,6,3,5] => 1 [4,1,2,6,5,3] => 16 [4,1,3,2,5,6] => 1 [4,1,3,2,6,5] => 9 [4,1,3,5,2,6] => 1 [4,1,3,5,6,2] => 1 [4,1,3,6,2,5] => 9 [4,1,3,6,5,2] => 4 [4,1,5,2,3,6] => 6 [4,1,5,2,6,3] => 4 [4,1,5,3,2,6] => 4 [4,1,5,3,6,2] => 5 [4,1,5,6,2,3] => 6 [4,1,5,6,3,2] => 2 [4,1,6,2,3,5] => 2 [4,1,6,2,5,3] => 4 [4,1,6,3,2,5] => 5 [4,1,6,3,5,2] => 4 [4,1,6,5,2,3] => 16 [4,1,6,5,3,2] => 4 [4,2,1,3,5,6] => 3 [4,2,1,3,6,5] => 3 [4,2,1,5,3,6] => 4 [4,2,1,5,6,3] => 5 [4,2,1,6,3,5] => 8 [4,2,1,6,5,3] => 4 [4,2,3,1,5,6] => 2 [4,2,3,1,6,5] => 5 [4,2,3,5,1,6] => 2 [4,2,3,5,6,1] => 2 [4,2,3,6,1,5] => 4 [4,2,3,6,5,1] => 7 [4,2,5,1,3,6] => 2 [4,2,5,1,6,3] => 5 [4,2,5,3,1,6] => 3 [4,2,5,3,6,1] => 3 [4,2,5,6,1,3] => 5 [4,2,5,6,3,1] => 4 [4,2,6,1,3,5] => 8 [4,2,6,1,5,3] => 6 [4,2,6,3,1,5] => 1 [4,2,6,3,5,1] => 1 [4,2,6,5,1,3] => 9 [4,2,6,5,3,1] => 7 [4,3,1,2,5,6] => 2 [4,3,1,2,6,5] => 9 [4,3,1,5,2,6] => 3 [4,3,1,5,6,2] => 4 [4,3,1,6,2,5] => 1 [4,3,1,6,5,2] => 3 [4,3,2,1,5,6] => 1 [4,3,2,1,6,5] => 5 [4,3,2,5,1,6] => 1 [4,3,2,5,6,1] => 1 [4,3,2,6,1,5] => 5 [4,3,2,6,5,1] => 4 [4,3,5,1,2,6] => 3 [4,3,5,1,6,2] => 4 [4,3,5,2,1,6] => 1 [4,3,5,2,6,1] => 1 [4,3,5,6,1,2] => 4 [4,3,5,6,2,1] => 1 [4,3,6,1,2,5] => 5 [4,3,6,1,5,2] => 1 [4,3,6,2,1,5] => 5 [4,3,6,2,5,1] => 4 [4,3,6,5,1,2] => 3 [4,3,6,5,2,1] => 3 [4,5,1,2,3,6] => 6 [4,5,1,2,6,3] => 6 [4,5,1,3,2,6] => 4 [4,5,1,3,6,2] => 5 [4,5,1,6,2,3] => 6 [4,5,1,6,3,2] => 3 [4,5,2,1,3,6] => 4 [4,5,2,1,6,3] => 5 [4,5,2,3,1,6] => 3 [4,5,2,3,6,1] => 3 [4,5,2,6,1,3] => 5 [4,5,2,6,3,1] => 4 [4,5,3,1,2,6] => 4 [4,5,3,1,6,2] => 5 [4,5,3,2,1,6] => 1 [4,5,3,2,6,1] => 1 [4,5,3,6,1,2] => 5 [4,5,3,6,2,1] => 1 [4,5,6,1,2,3] => 4 [4,5,6,1,3,2] => 2 [4,5,6,2,1,3] => 5 [4,5,6,2,3,1] => 4 [4,5,6,3,1,2] => 3 [4,5,6,3,2,1] => 1 [4,6,1,2,3,5] => 12 [4,6,1,2,5,3] => 4 [4,6,1,3,2,5] => 9 [4,6,1,3,5,2] => 4 [4,6,1,5,2,3] => 4 [4,6,1,5,3,2] => 3 [4,6,2,1,3,5] => 8 [4,6,2,1,5,3] => 6 [4,6,2,3,1,5] => 5 [4,6,2,3,5,1] => 7 [4,6,2,5,1,3] => 6 [4,6,2,5,3,1] => 1 [4,6,3,1,2,5] => 9 [4,6,3,1,5,2] => 3 [4,6,3,2,1,5] => 5 [4,6,3,2,5,1] => 4 [4,6,3,5,1,2] => 3 [4,6,3,5,2,1] => 3 [4,6,5,1,2,3] => 16 [4,6,5,1,3,2] => 3 [4,6,5,2,1,3] => 9 [4,6,5,2,3,1] => 7 [4,6,5,3,1,2] => 3 [4,6,5,3,2,1] => 2 [5,1,2,3,4,6] => 2 [5,1,2,3,6,4] => 7 [5,1,2,4,3,6] => 1 [5,1,2,4,6,3] => 1 [5,1,2,6,3,4] => 7 [5,1,2,6,4,3] => 6 [5,1,3,2,4,6] => 7 [5,1,3,2,6,4] => 9 [5,1,3,4,2,6] => 7 [5,1,3,4,6,2] => 5 [5,1,3,6,2,4] => 9 [5,1,3,6,4,2] => 8 [5,1,4,2,3,6] => 2 [5,1,4,2,6,3] => 9 [5,1,4,3,2,6] => 2 [5,1,4,3,6,2] => 2 [5,1,4,6,2,3] => 9 [5,1,4,6,3,2] => 5 [5,1,6,2,3,4] => 3 [5,1,6,2,4,3] => 4 [5,1,6,3,2,4] => 4 [5,1,6,3,4,2] => 1 [5,1,6,4,2,3] => 4 [5,1,6,4,3,2] => 4 [5,2,1,3,4,6] => 4 [5,2,1,3,6,4] => 9 [5,2,1,4,3,6] => 6 [5,2,1,4,6,3] => 8 [5,2,1,6,3,4] => 9 [5,2,1,6,4,3] => 9 [5,2,3,1,4,6] => 3 [5,2,3,1,6,4] => 8 [5,2,3,4,1,6] => 2 [5,2,3,4,6,1] => 2 [5,2,3,6,1,4] => 2 [5,2,3,6,4,1] => 6 [5,2,4,1,3,6] => 6 [5,2,4,1,6,3] => 8 [5,2,4,3,1,6] => 1 [5,2,4,3,6,1] => 1 [5,2,4,6,1,3] => 8 [5,2,4,6,3,1] => 1 [5,2,6,1,3,4] => 9 [5,2,6,1,4,3] => 1 [5,2,6,3,1,4] => 8 [5,2,6,3,4,1] => 6 [5,2,6,4,1,3] => 9 [5,2,6,4,3,1] => 4 [5,3,1,2,4,6] => 7 [5,3,1,2,6,4] => 4 [5,3,1,4,2,6] => 7 [5,3,1,4,6,2] => 4 [5,3,1,6,2,4] => 6 [5,3,1,6,4,2] => 3 [5,3,2,1,4,6] => 4 [5,3,2,1,6,4] => 5 [5,3,2,4,1,6] => 3 [5,3,2,4,6,1] => 3 [5,3,2,6,1,4] => 5 [5,3,2,6,4,1] => 4 [5,3,4,1,2,6] => 7 [5,3,4,1,6,2] => 5 [5,3,4,2,1,6] => 2 [5,3,4,2,6,1] => 2 [5,3,4,6,1,2] => 4 [5,3,4,6,2,1] => 2 [5,3,6,1,2,4] => 6 [5,3,6,1,4,2] => 8 [5,3,6,2,1,4] => 5 [5,3,6,2,4,1] => 2 [5,3,6,4,1,2] => 8 [5,3,6,4,2,1] => 3 [5,4,1,2,3,6] => 2 [5,4,1,2,6,3] => 9 [5,4,1,3,2,6] => 2 [5,4,1,3,6,2] => 2 [5,4,1,6,2,3] => 9 [5,4,1,6,3,2] => 5 [5,4,2,1,3,6] => 6 [5,4,2,1,6,3] => 8 [5,4,2,3,1,6] => 2 [5,4,2,3,6,1] => 2 [5,4,2,6,1,3] => 2 [5,4,2,6,3,1] => 3 [5,4,3,1,2,6] => 2 [5,4,3,1,6,2] => 3 [5,4,3,2,1,6] => 1 [5,4,3,2,6,1] => 1 [5,4,3,6,1,2] => 3 [5,4,3,6,2,1] => 1 [5,4,6,1,2,3] => 9 [5,4,6,1,3,2] => 5 [5,4,6,2,1,3] => 8 [5,4,6,2,3,1] => 3 [5,4,6,3,1,2] => 5 [5,4,6,3,2,1] => 1 [5,6,1,2,3,4] => 7 [5,6,1,2,4,3] => 6 [5,6,1,3,2,4] => 9 [5,6,1,3,4,2] => 8 [5,6,1,4,2,3] => 6 [5,6,1,4,3,2] => 1 [5,6,2,1,3,4] => 9 [5,6,2,1,4,3] => 9 [5,6,2,3,1,4] => 8 [5,6,2,3,4,1] => 6 [5,6,2,4,1,3] => 9 [5,6,2,4,3,1] => 4 [5,6,3,1,2,4] => 9 [5,6,3,1,4,2] => 3 [5,6,3,2,1,4] => 5 [5,6,3,2,4,1] => 4 [5,6,3,4,1,2] => 3 [5,6,3,4,2,1] => 3 [5,6,4,1,2,3] => 6 [5,6,4,1,3,2] => 4 [5,6,4,2,1,3] => 9 [5,6,4,2,3,1] => 4 [5,6,4,3,1,2] => 4 [5,6,4,3,2,1] => 1 [6,1,2,3,4,5] => 2 [6,1,2,3,5,4] => 1 [6,1,2,4,3,5] => 12 [6,1,2,4,5,3] => 16 [6,1,2,5,3,4] => 2 [6,1,2,5,4,3] => 2 [6,1,3,2,4,5] => 3 [6,1,3,2,5,4] => 16 [6,1,3,4,2,5] => 3 [6,1,3,4,5,2] => 9 [6,1,3,5,2,4] => 16 [6,1,3,5,4,2] => 12 [6,1,4,2,3,5] => 12 [6,1,4,2,5,3] => 16 [6,1,4,3,2,5] => 9 [6,1,4,3,5,2] => 1 [6,1,4,5,2,3] => 16 [6,1,4,5,3,2] => 3 [6,1,5,2,3,4] => 2 [6,1,5,2,4,3] => 1 [6,1,5,3,2,4] => 16 [6,1,5,3,4,2] => 12 [6,1,5,4,2,3] => 2 [6,1,5,4,3,2] => 2 [6,2,1,3,4,5] => 4 [6,2,1,3,5,4] => 4 [6,2,1,4,3,5] => 8 [6,2,1,4,5,3] => 1 [6,2,1,5,3,4] => 4 [6,2,1,5,4,3] => 7 [6,2,3,1,4,5] => 5 [6,2,3,1,5,4] => 9 [6,2,3,4,1,5] => 3 [6,2,3,4,5,1] => 2 [6,2,3,5,1,4] => 9 [6,2,3,5,4,1] => 1 [6,2,4,1,3,5] => 3 [6,2,4,1,5,3] => 9 [6,2,4,3,1,5] => 5 [6,2,4,3,5,1] => 7 [6,2,4,5,1,3] => 9 [6,2,4,5,3,1] => 7 [6,2,5,1,3,4] => 6 [6,2,5,1,4,3] => 7 [6,2,5,3,1,4] => 9 [6,2,5,3,4,1] => 2 [6,2,5,4,1,3] => 3 [6,2,5,4,3,1] => 2 [6,3,1,2,4,5] => 4 [6,3,1,2,5,4] => 16 [6,3,1,4,2,5] => 3 [6,3,1,4,5,2] => 5 [6,3,1,5,2,4] => 4 [6,3,1,5,4,2] => 12 [6,3,2,1,4,5] => 3 [6,3,2,1,5,4] => 6 [6,3,2,4,1,5] => 5 [6,3,2,4,5,1] => 4 [6,3,2,5,1,4] => 6 [6,3,2,5,4,1] => 6 [6,3,4,1,2,5] => 3 [6,3,4,1,5,2] => 9 [6,3,4,2,1,5] => 4 [6,3,4,2,5,1] => 3 [6,3,4,5,1,2] => 5 [6,3,4,5,2,1] => 2 [6,3,5,1,2,4] => 16 [6,3,5,1,4,2] => 2 [6,3,5,2,1,4] => 6 [6,3,5,2,4,1] => 6 [6,3,5,4,1,2] => 12 [6,3,5,4,2,1] => 1 [6,4,1,2,3,5] => 12 [6,4,1,2,5,3] => 16 [6,4,1,3,2,5] => 9 [6,4,1,3,5,2] => 4 [6,4,1,5,2,3] => 16 [6,4,1,5,3,2] => 3 [6,4,2,1,3,5] => 3 [6,4,2,1,5,3] => 9 [6,4,2,3,1,5] => 4 [6,4,2,3,5,1] => 7 [6,4,2,5,1,3] => 6 [6,4,2,5,3,1] => 7 [6,4,3,1,2,5] => 5 [6,4,3,1,5,2] => 3 [6,4,3,2,1,5] => 5 [6,4,3,2,5,1] => 4 [6,4,3,5,1,2] => 3 [6,4,3,5,2,1] => 3 [6,4,5,1,2,3] => 16 [6,4,5,1,3,2] => 4 [6,4,5,2,1,3] => 4 [6,4,5,2,3,1] => 7 [6,4,5,3,1,2] => 4 [6,4,5,3,2,1] => 2 [6,5,1,2,3,4] => 2 [6,5,1,2,4,3] => 2 [6,5,1,3,2,4] => 16 [6,5,1,3,4,2] => 12 [6,5,1,4,2,3] => 2 [6,5,1,4,3,2] => 1 [6,5,2,1,3,4] => 6 [6,5,2,1,4,3] => 3 [6,5,2,3,1,4] => 9 [6,5,2,3,4,1] => 2 [6,5,2,4,1,3] => 7 [6,5,2,4,3,1] => 2 [6,5,3,1,2,4] => 16 [6,5,3,1,4,2] => 12 [6,5,3,2,1,4] => 4 [6,5,3,2,4,1] => 6 [6,5,3,4,1,2] => 12 [6,5,3,4,2,1] => 2 [6,5,4,1,2,3] => 2 [6,5,4,1,3,2] => 2 [6,5,4,2,1,3] => 7 [6,5,4,2,3,1] => 2 [6,5,4,3,1,2] => 2 [6,5,4,3,2,1] => 1 [1,2,3,4,5,6,7] => 1 [1,2,3,4,5,7,6] => 2 [1,2,3,4,6,5,7] => 2 [1,2,3,4,6,7,5] => 15 [1,2,3,4,7,5,6] => 2 [1,2,3,4,7,6,5] => 2 [1,2,3,5,4,6,7] => 2 [1,2,3,5,4,7,6] => 13 [1,2,3,5,6,4,7] => 7 [1,2,3,5,6,7,4] => 19 [1,2,3,5,7,4,6] => 13 [1,2,3,5,7,6,4] => 20 [1,2,3,6,4,5,7] => 2 [1,2,3,6,4,7,5] => 15 [1,2,3,6,5,4,7] => 2 [1,2,3,6,5,7,4] => 19 [1,2,3,6,7,4,5] => 15 [1,2,3,6,7,5,4] => 8 [1,2,3,7,4,5,6] => 2 [1,2,3,7,4,6,5] => 2 [1,2,3,7,5,4,6] => 13 [1,2,3,7,5,6,4] => 20 [1,2,3,7,6,4,5] => 2 [1,2,3,7,6,5,4] => 2 [1,2,4,3,5,6,7] => 2 [1,2,4,3,5,7,6] => 4 [1,2,4,3,6,5,7] => 12 [1,2,4,3,6,7,5] => 8 [1,2,4,3,7,5,6] => 4 [1,2,4,3,7,6,5] => 16 [1,2,4,5,3,6,7] => 6 [1,2,4,5,3,7,6] => 9 [1,2,4,5,6,3,7] => 4 [1,2,4,5,6,7,3] => 8 [1,2,4,5,7,3,6] => 6 [1,2,4,5,7,6,3] => 6 [1,2,4,6,3,5,7] => 12 [1,2,4,6,3,7,5] => 32 [1,2,4,6,5,3,7] => 16 [1,2,4,6,5,7,3] => 4 [1,2,4,6,7,3,5] => 32 [1,2,4,6,7,5,3] => 27 [1,2,4,7,3,5,6] => 14 [1,2,4,7,3,6,5] => 10 [1,2,4,7,5,3,6] => 6 [1,2,4,7,5,6,3] => 4 [1,2,4,7,6,3,5] => 16 [1,2,4,7,6,5,3] => 16 [1,2,5,3,4,6,7] => 2 [1,2,5,3,4,7,6] => 13 [1,2,5,3,6,4,7] => 7 [1,2,5,3,6,7,4] => 19 [1,2,5,3,7,4,6] => 2 [1,2,5,3,7,6,4] => 20 [1,2,5,4,3,6,7] => 2 [1,2,5,4,3,7,6] => 26 [1,2,5,4,6,3,7] => 9 [1,2,5,4,6,7,3] => 14 [1,2,5,4,7,3,6] => 26 [1,2,5,4,7,6,3] => 27 [1,2,5,6,3,4,7] => 3 [1,2,5,6,3,7,4] => 19 [1,2,5,6,4,3,7] => 6 [1,2,5,6,4,7,3] => 15 [1,2,5,6,7,3,4] => 19 [1,2,5,6,7,4,3] => 14 [1,2,5,7,3,4,6] => 5 [1,2,5,7,3,6,4] => 6 [1,2,5,7,4,3,6] => 26 [1,2,5,7,4,6,3] => 27 [1,2,5,7,6,3,4] => 20 [1,2,5,7,6,4,3] => 6 [1,2,6,3,4,5,7] => 1 [1,2,6,3,4,7,5] => 15 [1,2,6,3,5,4,7] => 2 [1,2,6,3,5,7,4] => 19 [1,2,6,3,7,4,5] => 15 [1,2,6,3,7,5,4] => 8 [1,2,6,4,3,5,7] => 12 [1,2,6,4,3,7,5] => 32 [1,2,6,4,5,3,7] => 16 [1,2,6,4,5,7,3] => 15 [1,2,6,4,7,3,5] => 5 [1,2,6,4,7,5,3] => 27 [1,2,6,5,3,4,7] => 2 [1,2,6,5,3,7,4] => 19 [1,2,6,5,4,3,7] => 2 [1,2,6,5,4,7,3] => 9 [1,2,6,5,7,3,4] => 19 [1,2,6,5,7,4,3] => 15 [1,2,6,7,3,4,5] => 15 [1,2,6,7,3,5,4] => 12 [1,2,6,7,4,3,5] => 8 [1,2,6,7,4,5,3] => 27 [1,2,6,7,5,3,4] => 12 [1,2,6,7,5,4,3] => 6 [1,2,7,3,4,5,6] => 2 [1,2,7,3,4,6,5] => 2 [1,2,7,3,5,4,6] => 5 [1,2,7,3,5,6,4] => 10 [1,2,7,3,6,4,5] => 2 [1,2,7,3,6,5,4] => 2 [1,2,7,4,3,5,6] => 14 [1,2,7,4,3,6,5] => 16 [1,2,7,4,5,3,6] => 9 [1,2,7,4,5,6,3] => 5 [1,2,7,4,6,3,5] => 5 [1,2,7,4,6,5,3] => 5 [1,2,7,5,3,4,6] => 13 [1,2,7,5,3,6,4] => 20 [1,2,7,5,4,3,6] => 26 [1,2,7,5,4,6,3] => 6 [1,2,7,5,6,3,4] => 20 [1,2,7,5,6,4,3] => 6 [1,2,7,6,3,4,5] => 1 [1,2,7,6,3,5,4] => 2 [1,2,7,6,4,3,5] => 10 [1,2,7,6,4,5,3] => 10 [1,2,7,6,5,3,4] => 2 [1,2,7,6,5,4,3] => 2 [1,3,2,4,5,6,7] => 2 [1,3,2,4,5,7,6] => 4 [1,3,2,4,6,5,7] => 4 [1,3,2,4,6,7,5] => 30 [1,3,2,4,7,5,6] => 4 [1,3,2,4,7,6,5] => 6 [1,3,2,5,4,6,7] => 7 [1,3,2,5,4,7,6] => 38 [1,3,2,5,6,4,7] => 4 [1,3,2,5,6,7,4] => 10 [1,3,2,5,7,4,6] => 38 [1,3,2,5,7,6,4] => 27 [1,3,2,6,4,5,7] => 4 [1,3,2,6,4,7,5] => 30 [1,3,2,6,5,4,7] => 16 [1,3,2,6,5,7,4] => 34 [1,3,2,6,7,4,5] => 30 [1,3,2,6,7,5,4] => 14 [1,3,2,7,4,5,6] => 8 [1,3,2,7,4,6,5] => 6 [1,3,2,7,5,4,6] => 38 [1,3,2,7,5,6,4] => 27 [1,3,2,7,6,4,5] => 6 [1,3,2,7,6,5,4] => 20 [1,3,4,2,5,6,7] => 3 [1,3,4,2,5,7,6] => 8 [1,3,4,2,6,5,7] => 3 [1,3,4,2,6,7,5] => 29 [1,3,4,2,7,5,6] => 10 [1,3,4,2,7,6,5] => 27 [1,3,4,5,2,6,7] => 4 [1,3,4,5,2,7,6] => 18 [1,3,4,5,6,2,7] => 5 [1,3,4,5,6,7,2] => 6 [1,3,4,5,7,2,6] => 18 [1,3,4,5,7,6,2] => 23 [1,3,4,6,2,5,7] => 3 [1,3,4,6,2,7,5] => 10 [1,3,4,6,5,2,7] => 5 [1,3,4,6,5,7,2] => 17 [1,3,4,6,7,2,5] => 29 [1,3,4,6,7,5,2] => 18 [1,3,4,7,2,5,6] => 10 [1,3,4,7,2,6,5] => 27 [1,3,4,7,5,2,6] => 18 [1,3,4,7,5,6,2] => 23 [1,3,4,7,6,2,5] => 27 [1,3,4,7,6,5,2] => 26 [1,3,5,2,4,6,7] => 7 [1,3,5,2,4,7,6] => 38 [1,3,5,2,6,4,7] => 6 [1,3,5,2,6,7,4] => 7 [1,3,5,2,7,4,6] => 38 [1,3,5,2,7,6,4] => 7 [1,3,5,4,2,6,7] => 7 [1,3,5,4,2,7,6] => 43 [1,3,5,4,6,2,7] => 4 [1,3,5,4,6,7,2] => 11 [1,3,5,4,7,2,6] => 43 [1,3,5,4,7,6,2] => 43 [1,3,5,6,2,4,7] => 9 [1,3,5,6,2,7,4] => 7 [1,3,5,6,4,2,7] => 3 [1,3,5,6,4,7,2] => 17 [1,3,5,6,7,2,4] => 10 [1,3,5,6,7,4,2] => 24 [1,3,5,7,2,4,6] => 38 [1,3,5,7,2,6,4] => 7 [1,3,5,7,4,2,6] => 43 [1,3,5,7,4,6,2] => 43 [1,3,5,7,6,2,4] => 27 [1,3,5,7,6,4,2] => 38 [1,3,6,2,4,5,7] => 3 [1,3,6,2,4,7,5] => 30 [1,3,6,2,5,4,7] => 16 [1,3,6,2,5,7,4] => 34 [1,3,6,2,7,4,5] => 30 [1,3,6,2,7,5,4] => 14 [1,3,6,4,2,5,7] => 4 [1,3,6,4,2,7,5] => 29 [1,3,6,4,5,2,7] => 9 [1,3,6,4,5,7,2] => 17 [1,3,6,4,7,2,5] => 29 [1,3,6,4,7,5,2] => 18 [1,3,6,5,2,4,7] => 16 [1,3,6,5,2,7,4] => 34 [1,3,6,5,4,2,7] => 12 [1,3,6,5,4,7,2] => 4 [1,3,6,5,7,2,4] => 34 [1,3,6,5,7,4,2] => 3 [1,3,6,7,2,4,5] => 30 [1,3,6,7,2,5,4] => 17 [1,3,6,7,4,2,5] => 29 [1,3,6,7,4,5,2] => 14 [1,3,6,7,5,2,4] => 17 [1,3,6,7,5,4,2] => 19 [1,3,7,2,4,5,6] => 8 [1,3,7,2,4,6,5] => 4 [1,3,7,2,5,4,6] => 38 [1,3,7,2,5,6,4] => 4 [1,3,7,2,6,4,5] => 6 [1,3,7,2,6,5,4] => 20 [1,3,7,4,2,5,6] => 8 [1,3,7,4,2,6,5] => 27 [1,3,7,4,5,2,6] => 5 [1,3,7,4,5,6,2] => 23 [1,3,7,4,6,2,5] => 27 [1,3,7,4,6,5,2] => 26 [1,3,7,5,2,4,6] => 38 [1,3,7,5,2,6,4] => 27 [1,3,7,5,4,2,6] => 43 [1,3,7,5,4,6,2] => 43 [1,3,7,5,6,2,4] => 27 [1,3,7,5,6,4,2] => 38 [1,3,7,6,2,4,5] => 7 [1,3,7,6,2,5,4] => 10 [1,3,7,6,4,2,5] => 4 [1,3,7,6,4,5,2] => 26 [1,3,7,6,5,2,4] => 20 [1,3,7,6,5,4,2] => 13 [1,4,2,3,5,6,7] => 1 [1,4,2,3,5,7,6] => 14 [1,4,2,3,6,5,7] => 12 [1,4,2,3,6,7,5] => 32 [1,4,2,3,7,5,6] => 14 [1,4,2,3,7,6,5] => 5 [1,4,2,5,3,6,7] => 6 [1,4,2,5,3,7,6] => 6 [1,4,2,5,6,3,7] => 6 [1,4,2,5,6,7,3] => 5 [1,4,2,5,7,3,6] => 6 [1,4,2,5,7,6,3] => 5 [1,4,2,6,3,5,7] => 2 [1,4,2,6,3,7,5] => 32 [1,4,2,6,5,3,7] => 16 [1,4,2,6,5,7,3] => 11 [1,4,2,6,7,3,5] => 32 [1,4,2,6,7,5,3] => 27 [1,4,2,7,3,5,6] => 14 [1,4,2,7,3,6,5] => 4 [1,4,2,7,5,3,6] => 6 [1,4,2,7,5,6,3] => 11 [1,4,2,7,6,3,5] => 4 [1,4,2,7,6,5,3] => 16 [1,4,3,2,5,6,7] => 2 [1,4,3,2,5,7,6] => 10 [1,4,3,2,6,5,7] => 5 [1,4,3,2,6,7,5] => 11 [1,4,3,2,7,5,6] => 2 [1,4,3,2,7,6,5] => 6 [1,4,3,5,2,6,7] => 3 [1,4,3,5,2,7,6] => 17 [1,4,3,5,6,2,7] => 4 [1,4,3,5,6,7,2] => 5 [1,4,3,5,7,2,6] => 17 [1,4,3,5,7,6,2] => 4 [1,4,3,6,2,5,7] => 9 [1,4,3,6,2,7,5] => 24 [1,4,3,6,5,2,7] => 3 [1,4,3,6,5,7,2] => 12 [1,4,3,6,7,2,5] => 11 [1,4,3,6,7,5,2] => 17 [1,4,3,7,2,5,6] => 10 [1,4,3,7,2,6,5] => 6 [1,4,3,7,5,2,6] => 17 [1,4,3,7,5,6,2] => 5 [1,4,3,7,6,2,5] => 5 [1,4,3,7,6,5,2] => 6 [1,4,5,2,3,6,7] => 6 [1,4,5,2,3,7,6] => 9 [1,4,5,2,6,3,7] => 6 [1,4,5,2,6,7,3] => 8 [1,4,5,2,7,3,6] => 4 [1,4,5,2,7,6,3] => 6 [1,4,5,3,2,6,7] => 4 [1,4,5,3,2,7,6] => 5 [1,4,5,3,6,2,7] => 5 [1,4,5,3,6,7,2] => 6 [1,4,5,3,7,2,6] => 4 [1,4,5,3,7,6,2] => 17 [1,4,5,6,2,3,7] => 6 [1,4,5,6,2,7,3] => 2 [1,4,5,6,3,2,7] => 3 [1,4,5,6,3,7,2] => 4 [1,4,5,6,7,2,3] => 5 [1,4,5,6,7,3,2] => 6 [1,4,5,7,2,3,6] => 6 [1,4,5,7,2,6,3] => 3 [1,4,5,7,3,2,6] => 4 [1,4,5,7,3,6,2] => 17 [1,4,5,7,6,2,3] => 6 [1,4,5,7,6,3,2] => 10 [1,4,6,2,3,5,7] => 12 [1,4,6,2,3,7,5] => 32 [1,4,6,2,5,3,7] => 4 [1,4,6,2,5,7,3] => 15 [1,4,6,2,7,3,5] => 32 [1,4,6,2,7,5,3] => 15 [1,4,6,3,2,5,7] => 5 [1,4,6,3,2,7,5] => 24 [1,4,6,3,5,2,7] => 3 [1,4,6,3,5,7,2] => 12 [1,4,6,3,7,2,5] => 3 [1,4,6,3,7,5,2] => 8 [1,4,6,5,2,3,7] => 16 [1,4,6,5,2,7,3] => 11 [1,4,6,5,3,2,7] => 4 [1,4,6,5,3,7,2] => 9 ----------------------------------------------------------------------------- Created: Sep 24, 2017 at 11:48 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Sep 24, 2017 at 11:48 by Martin Rubey