***************************************************************************** * 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: St001639 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The number of alternating subsets such that applying the permutation does not yield an alternating subset. A subset of $[n]=\{1,\dots,n\}$ is alternating if any two successive elements have different parity. This statistic records for each permutation $\pi\in\mathfrak S_n$ the number of alternating subsets $S\subseteq [n]$ such that $\pi(S)$ is not alternating. Note that the number of alternating subsets of $[n]$ is $F(n+3)-1$, where $F(n)$ is the $n$-th Fibonacci number. ----------------------------------------------------------------------------- References: [1] Dawar, A. Counting sets whose alternation is preserved by a permutation [[MathOverflow:375868]] ----------------------------------------------------------------------------- Code: def is_alternating(S): return all(is_odd(s + t) for s, t in zip(S, S[1:])) @cached_function def alternating_subsets(n): return [S for S in Subsets(n) if (is_alternating(sorted(S)))] def statistic(pi): pi = Permutation(pi) n = len(pi) good = 0 for S in alternating_subsets(n): if not is_alternating(sorted(pi(s) for s in S)): good += 1 return good ----------------------------------------------------------------------------- Statistic values: [1] => 0 [1,2] => 0 [2,1] => 0 [1,2,3] => 0 [1,3,2] => 1 [2,1,3] => 1 [2,3,1] => 1 [3,1,2] => 1 [3,2,1] => 0 [1,2,3,4] => 0 [1,2,4,3] => 3 [1,3,2,4] => 2 [1,3,4,2] => 3 [1,4,2,3] => 3 [1,4,3,2] => 1 [2,1,3,4] => 3 [2,1,4,3] => 2 [2,3,1,4] => 3 [2,3,4,1] => 1 [2,4,1,3] => 4 [2,4,3,1] => 3 [3,1,2,4] => 3 [3,1,4,2] => 4 [3,2,1,4] => 1 [3,2,4,1] => 3 [3,4,1,2] => 2 [3,4,2,1] => 3 [4,1,2,3] => 1 [4,1,3,2] => 3 [4,2,1,3] => 3 [4,2,3,1] => 2 [4,3,1,2] => 3 [4,3,2,1] => 0 [1,2,3,4,5] => 0 [1,2,3,5,4] => 6 [1,2,4,3,5] => 5 [1,2,4,5,3] => 7 [1,2,5,3,4] => 7 [1,2,5,4,3] => 3 [1,3,2,4,5] => 5 [1,3,2,5,4] => 6 [1,3,4,2,5] => 6 [1,3,4,5,2] => 5 [1,3,5,2,4] => 9 [1,3,5,4,2] => 7 [1,4,2,3,5] => 6 [1,4,2,5,3] => 9 [1,4,3,2,5] => 2 [1,4,3,5,2] => 7 [1,4,5,2,3] => 4 [1,4,5,3,2] => 6 [1,5,2,3,4] => 5 [1,5,2,4,3] => 7 [1,5,3,2,4] => 7 [1,5,3,4,2] => 6 [1,5,4,2,3] => 6 [1,5,4,3,2] => 3 [2,1,3,4,5] => 6 [2,1,3,5,4] => 7 [2,1,4,3,5] => 6 [2,1,4,5,3] => 6 [2,1,5,3,4] => 6 [2,1,5,4,3] => 5 [2,3,1,4,5] => 7 [2,3,1,5,4] => 6 [2,3,4,1,5] => 5 [2,3,4,5,1] => 3 [2,3,5,1,4] => 7 [2,3,5,4,1] => 6 [2,4,1,3,5] => 9 [2,4,1,5,3] => 8 [2,4,3,1,5] => 7 [2,4,3,5,1] => 6 [2,4,5,1,3] => 7 [2,4,5,3,1] => 7 [2,5,1,3,4] => 7 [2,5,1,4,3] => 7 [2,5,3,1,4] => 9 [2,5,3,4,1] => 7 [2,5,4,1,3] => 7 [2,5,4,3,1] => 5 [3,1,2,4,5] => 7 [3,1,2,5,4] => 6 [3,1,4,2,5] => 9 [3,1,4,5,2] => 7 [3,1,5,2,4] => 8 [3,1,5,4,2] => 7 [3,2,1,4,5] => 3 [3,2,1,5,4] => 5 [3,2,4,1,5] => 7 [3,2,4,5,1] => 6 [3,2,5,1,4] => 7 [3,2,5,4,1] => 4 [3,4,1,2,5] => 4 [3,4,1,5,2] => 7 [3,4,2,1,5] => 6 [3,4,2,5,1] => 7 [3,4,5,1,2] => 5 [3,4,5,2,1] => 3 [3,5,1,2,4] => 7 [3,5,1,4,2] => 8 [3,5,2,1,4] => 7 [3,5,2,4,1] => 9 [3,5,4,1,2] => 6 [3,5,4,2,1] => 7 [4,1,2,3,5] => 5 [4,1,2,5,3] => 7 [4,1,3,2,5] => 7 [4,1,3,5,2] => 9 [4,1,5,2,3] => 7 [4,1,5,3,2] => 7 [4,2,1,3,5] => 7 [4,2,1,5,3] => 7 [4,2,3,1,5] => 6 [4,2,3,5,1] => 7 [4,2,5,1,3] => 8 [4,2,5,3,1] => 9 [4,3,1,2,5] => 6 [4,3,1,5,2] => 7 [4,3,2,1,5] => 3 [4,3,2,5,1] => 5 [4,3,5,1,2] => 6 [4,3,5,2,1] => 7 [4,5,1,2,3] => 5 [4,5,1,3,2] => 6 [4,5,2,1,3] => 6 [4,5,2,3,1] => 6 [4,5,3,1,2] => 7 [4,5,3,2,1] => 6 [5,1,2,3,4] => 3 [5,1,2,4,3] => 6 [5,1,3,2,4] => 6 [5,1,3,4,2] => 7 [5,1,4,2,3] => 7 [5,1,4,3,2] => 5 [5,2,1,3,4] => 6 [5,2,1,4,3] => 4 [5,2,3,1,4] => 7 [5,2,3,4,1] => 2 [5,2,4,1,3] => 9 [5,2,4,3,1] => 6 [5,3,1,2,4] => 7 [5,3,1,4,2] => 9 [5,3,2,1,4] => 5 [5,3,2,4,1] => 6 [5,3,4,1,2] => 6 [5,3,4,2,1] => 5 [5,4,1,2,3] => 3 [5,4,1,3,2] => 7 [5,4,2,1,3] => 7 [5,4,2,3,1] => 5 [5,4,3,1,2] => 6 [5,4,3,2,1] => 0 [1,2,3,4,5,6] => 0 [1,2,3,4,6,5] => 11 [1,2,3,5,4,6] => 9 [1,2,3,5,6,4] => 13 [1,2,3,6,4,5] => 13 [1,2,3,6,5,4] => 6 [1,2,4,3,5,6] => 10 [1,2,4,3,6,5] => 14 [1,2,4,5,3,6] => 12 [1,2,4,5,6,3] => 13 [1,2,4,6,3,5] => 17 [1,2,4,6,5,3] => 14 [1,2,5,3,4,6] => 12 [1,2,5,3,6,4] => 17 [1,2,5,4,3,6] => 5 [1,2,5,4,6,3] => 14 [1,2,5,6,3,4] => 8 [1,2,5,6,4,3] => 12 [1,2,6,3,4,5] => 13 [1,2,6,3,5,4] => 14 [1,2,6,4,3,5] => 14 [1,2,6,4,5,3] => 12 [1,2,6,5,3,4] => 12 [1,2,6,5,4,3] => 9 [1,3,2,4,5,6] => 9 [1,3,2,4,6,5] => 14 [1,3,2,5,4,6] => 11 [1,3,2,5,6,4] => 13 [1,3,2,6,4,5] => 13 [1,3,2,6,5,4] => 10 [1,3,4,2,5,6] => 12 [1,3,4,2,6,5] => 14 [1,3,4,5,2,6] => 10 [1,3,4,5,6,2] => 10 [1,3,4,6,2,5] => 15 [1,3,4,6,5,2] => 13 [1,3,5,2,4,6] => 17 [1,3,5,2,6,4] => 17 [1,3,5,4,2,6] => 13 [1,3,5,4,6,2] => 14 [1,3,5,6,2,4] => 14 [1,3,5,6,4,2] => 15 [1,3,6,2,4,5] => 16 [1,3,6,2,5,4] => 14 [1,3,6,4,2,5] => 18 [1,3,6,4,5,2] => 14 [1,3,6,5,2,4] => 14 [1,3,6,5,4,2] => 12 [1,4,2,3,5,6] => 12 [1,4,2,3,6,5] => 14 [1,4,2,5,3,6] => 17 [1,4,2,5,6,3] => 16 [1,4,2,6,3,5] => 17 [1,4,2,6,5,3] => 14 [1,4,3,2,5,6] => 5 [1,4,3,2,6,5] => 11 [1,4,3,5,2,6] => 13 [1,4,3,5,6,2] => 13 [1,4,3,6,2,5] => 15 [1,4,3,6,5,2] => 9 [1,4,5,2,3,6] => 7 [1,4,5,2,6,3] => 14 [1,4,5,3,2,6] => 10 [1,4,5,3,6,2] => 14 [1,4,5,6,2,3] => 10 [1,4,5,6,3,2] => 7 [1,4,6,2,3,5] => 14 [1,4,6,2,5,3] => 15 [1,4,6,3,2,5] => 15 [1,4,6,3,5,2] => 17 [1,4,6,5,2,3] => 13 [1,4,6,5,3,2] => 14 [1,5,2,3,4,6] => 10 [1,5,2,3,6,4] => 15 [1,5,2,4,3,6] => 13 [1,5,2,4,6,3] => 18 [1,5,2,6,3,4] => 14 [1,5,2,6,4,3] => 14 [1,5,3,2,4,6] => 13 [1,5,3,2,6,4] => 15 [1,5,3,4,2,6] => 12 [1,5,3,4,6,2] => 15 [1,5,3,6,2,4] => 16 [1,5,3,6,4,2] => 17 [1,5,4,2,3,6] => 10 [1,5,4,2,6,3] => 15 [1,5,4,3,2,6] => 6 [1,5,4,3,6,2] => 12 [1,5,4,6,2,3] => 12 [1,5,4,6,3,2] => 13 [1,5,6,2,3,4] => 10 [1,5,6,2,4,3] => 13 [1,5,6,3,2,4] => 12 [1,5,6,3,4,2] => 13 [1,5,6,4,2,3] => 14 [1,5,6,4,3,2] => 12 [1,6,2,3,4,5] => 10 [1,6,2,3,5,4] => 13 [1,6,2,4,3,5] => 14 [1,6,2,4,5,3] => 14 [1,6,2,5,3,4] => 15 [1,6,2,5,4,3] => 12 [1,6,3,2,4,5] => 13 [1,6,3,2,5,4] => 9 [1,6,3,4,2,5] => 15 [1,6,3,4,5,2] => 7 [1,6,3,5,2,4] => 17 [1,6,3,5,4,2] => 13 [1,6,4,2,3,5] => 14 [1,6,4,2,5,3] => 17 [1,6,4,3,2,5] => 12 [1,6,4,3,5,2] => 14 [1,6,4,5,2,3] => 13 [1,6,4,5,3,2] => 12 [1,6,5,2,3,4] => 7 [1,6,5,2,4,3] => 14 [1,6,5,3,2,4] => 13 [1,6,5,3,4,2] => 12 [1,6,5,4,2,3] => 12 [1,6,5,4,3,2] => 4 [2,1,3,4,5,6] => 11 [2,1,3,4,6,5] => 15 [2,1,3,5,4,6] => 14 [2,1,3,5,6,4] => 15 [2,1,3,6,4,5] => 15 [2,1,3,6,5,4] => 12 [2,1,4,3,5,6] => 14 [2,1,4,3,6,5] => 11 [2,1,4,5,3,6] => 14 [2,1,4,5,6,3] => 9 [2,1,4,6,3,5] => 16 [2,1,4,6,5,3] => 14 [2,1,5,3,4,6] => 14 [2,1,5,3,6,4] => 16 [2,1,5,4,3,6] => 11 [2,1,5,4,6,3] => 14 [2,1,5,6,3,4] => 13 [2,1,5,6,4,3] => 14 [2,1,6,3,4,5] => 9 [2,1,6,3,5,4] => 14 [2,1,6,4,3,5] => 14 [2,1,6,4,5,3] => 13 [2,1,6,5,3,4] => 14 [2,1,6,5,4,3] => 8 [2,3,1,4,5,6] => 13 [2,3,1,4,6,5] => 15 [2,3,1,5,4,6] => 13 [2,3,1,5,6,4] => 14 [2,3,1,6,4,5] => 13 [2,3,1,6,5,4] => 12 [2,3,4,1,5,6] => 13 [2,3,4,1,6,5] => 9 [2,3,4,5,1,6] => 10 [2,3,4,5,6,1] => 4 [2,3,4,6,1,5] => 14 [2,3,4,6,5,1] => 12 [2,3,5,1,4,6] => 16 [2,3,5,1,6,4] => 16 [2,3,5,4,1,6] => 13 [2,3,5,4,6,1] => 12 [2,3,5,6,1,4] => 15 [2,3,5,6,4,1] => 14 [2,3,6,1,4,5] => 9 [2,3,6,1,5,4] => 13 [2,3,6,4,1,5] => 16 [2,3,6,4,5,1] => 13 [2,3,6,5,1,4] => 14 [2,3,6,5,4,1] => 7 [2,4,1,3,5,6] => 17 [2,4,1,3,6,5] => 16 [2,4,1,5,3,6] => 17 [2,4,1,5,6,3] => 16 [2,4,1,6,3,5] => 15 [2,4,1,6,5,3] => 15 [2,4,3,1,5,6] => 14 [2,4,3,1,6,5] => 14 [2,4,3,5,1,6] => 14 [2,4,3,5,6,1] => 12 [2,4,3,6,1,5] => 15 [2,4,3,6,5,1] => 13 [2,4,5,1,3,6] => 14 [2,4,5,1,6,3] => 15 [2,4,5,3,1,6] => 14 [2,4,5,3,6,1] => 13 [2,4,5,6,1,3] => 14 [2,4,5,6,3,1] => 12 [2,4,6,1,3,5] => 15 [2,4,6,1,5,3] => 16 [2,4,6,3,1,5] => 17 [2,4,6,3,5,1] => 17 [2,4,6,5,1,3] => 16 [2,4,6,5,3,1] => 15 [2,5,1,3,4,6] => 15 [2,5,1,3,6,4] => 15 [2,5,1,4,3,6] => 15 [2,5,1,4,6,3] => 16 [2,5,1,6,3,4] => 14 [2,5,1,6,4,3] => 15 [2,5,3,1,4,6] => 18 [2,5,3,1,6,4] => 16 [2,5,3,4,1,6] => 15 [2,5,3,4,6,1] => 14 [2,5,3,6,1,4] => 16 [2,5,3,6,4,1] => 17 [2,5,4,1,3,6] => 15 [2,5,4,1,6,3] => 10 [2,5,4,3,1,6] => 12 [2,5,4,3,6,1] => 7 [2,5,4,6,1,3] => 14 [2,5,4,6,3,1] => 14 [2,5,6,1,3,4] => 13 [2,5,6,1,4,3] => 10 [2,5,6,3,1,4] => 14 [2,5,6,3,4,1] => 9 [2,5,6,4,1,3] => 15 [2,5,6,4,3,1] => 13 [2,6,1,3,4,5] => 14 [2,6,1,3,5,4] => 15 [2,6,1,4,3,5] => 15 [2,6,1,4,5,3] => 14 [2,6,1,5,3,4] => 16 [2,6,1,5,4,3] => 14 [2,6,3,1,4,5] => 16 [2,6,3,1,5,4] => 14 [2,6,3,4,1,5] => 17 [2,6,3,4,5,1] => 12 [2,6,3,5,1,4] => 17 [2,6,3,5,4,1] => 14 [2,6,4,1,3,5] => 17 [2,6,4,1,5,3] => 16 [2,6,4,3,1,5] => 17 [2,6,4,3,5,1] => 15 [2,6,4,5,1,3] => 15 [2,6,4,5,3,1] => 14 [2,6,5,1,3,4] => 14 [2,6,5,1,4,3] => 15 [2,6,5,3,1,4] => 16 [2,6,5,3,4,1] => 13 [2,6,5,4,1,3] => 14 [2,6,5,4,3,1] => 10 [3,1,2,4,5,6] => 13 [3,1,2,4,6,5] => 15 [3,1,2,5,4,6] => 13 [3,1,2,5,6,4] => 13 [3,1,2,6,4,5] => 14 [3,1,2,6,5,4] => 12 [3,1,4,2,5,6] => 17 [3,1,4,2,6,5] => 16 [3,1,4,5,2,6] => 15 [3,1,4,5,6,2] => 14 [3,1,4,6,2,5] => 15 [3,1,4,6,5,2] => 15 [3,1,5,2,4,6] => 17 [3,1,5,2,6,4] => 15 [3,1,5,4,2,6] => 15 [3,1,5,4,6,2] => 15 [3,1,5,6,2,4] => 14 [3,1,5,6,4,2] => 16 [3,1,6,2,4,5] => 16 [3,1,6,2,5,4] => 15 [3,1,6,4,2,5] => 16 [3,1,6,4,5,2] => 14 [3,1,6,5,2,4] => 15 [3,1,6,5,4,2] => 14 [3,2,1,4,5,6] => 6 [3,2,1,4,6,5] => 12 [3,2,1,5,4,6] => 10 [3,2,1,5,6,4] => 12 [3,2,1,6,4,5] => 12 [3,2,1,6,5,4] => 8 [3,2,4,1,5,6] => 14 [3,2,4,1,6,5] => 14 [3,2,4,5,1,6] => 13 [3,2,4,5,6,1] => 12 [3,2,4,6,1,5] => 15 [3,2,4,6,5,1] => 14 [3,2,5,1,4,6] => 14 [3,2,5,1,6,4] => 15 [3,2,5,4,1,6] => 9 [3,2,5,4,6,1] => 13 [3,2,5,6,1,4] => 10 [3,2,5,6,4,1] => 13 [3,2,6,1,4,5] => 13 [3,2,6,1,5,4] => 14 [3,2,6,4,1,5] => 14 [3,2,6,4,5,1] => 12 [3,2,6,5,1,4] => 13 [3,2,6,5,4,1] => 10 [3,4,1,2,5,6] => 8 [3,4,1,2,6,5] => 13 [3,4,1,5,2,6] => 14 [3,4,1,5,6,2] => 15 [3,4,1,6,2,5] => 14 [3,4,1,6,5,2] => 10 [3,4,2,1,5,6] => 12 [3,4,2,1,6,5] => 14 [3,4,2,5,1,6] => 15 [3,4,2,5,6,1] => 14 [3,4,2,6,1,5] => 16 [3,4,2,6,5,1] => 13 [3,4,5,1,2,6] => 10 [3,4,5,1,6,2] => 14 [3,4,5,2,1,6] => 7 [3,4,5,2,6,1] => 12 [3,4,5,6,1,2] => 8 [3,4,5,6,2,1] => 9 [3,4,6,1,2,5] => 13 [3,4,6,1,5,2] => 15 [3,4,6,2,1,5] => 14 [3,4,6,2,5,1] => 14 [3,4,6,5,1,2] => 14 [3,4,6,5,2,1] => 12 [3,5,1,2,4,6] => 14 [3,5,1,2,6,4] => 14 [3,5,1,4,2,6] => 16 [3,5,1,4,6,2] => 16 [3,5,1,6,2,4] => 16 [3,5,1,6,4,2] => 16 [3,5,2,1,4,6] => 14 [3,5,2,1,6,4] => 15 [3,5,2,4,1,6] => 17 [3,5,2,4,6,1] => 17 [3,5,2,6,1,4] => 16 [3,5,2,6,4,1] => 15 [3,5,4,1,2,6] => 12 [3,5,4,1,6,2] => 14 [3,5,4,2,1,6] => 13 [3,5,4,2,6,1] => 14 [3,5,4,6,1,2] => 13 [3,5,4,6,2,1] => 12 [3,5,6,1,2,4] => 14 [3,5,6,1,4,2] => 15 [3,5,6,2,1,4] => 13 [3,5,6,2,4,1] => 14 [3,5,6,4,1,2] => 14 [3,5,6,4,2,1] => 14 [3,6,1,2,4,5] => 15 [3,6,1,2,5,4] => 10 [3,6,1,4,2,5] => 16 [3,6,1,4,5,2] => 10 [3,6,1,5,2,4] => 16 [3,6,1,5,4,2] => 15 [3,6,2,1,4,5] => 14 [3,6,2,1,5,4] => 13 [3,6,2,4,1,5] => 17 [3,6,2,4,5,1] => 15 [3,6,2,5,1,4] => 15 [3,6,2,5,4,1] => 14 [3,6,4,1,2,5] => 14 [3,6,4,1,5,2] => 16 [3,6,4,2,1,5] => 16 [3,6,4,2,5,1] => 18 [3,6,4,5,1,2] => 14 [3,6,4,5,2,1] => 14 [3,6,5,1,2,4] => 13 [3,6,5,1,4,2] => 16 [3,6,5,2,1,4] => 9 [3,6,5,2,4,1] => 16 [3,6,5,4,1,2] => 9 [3,6,5,4,2,1] => 13 [4,1,2,3,5,6] => 13 [4,1,2,3,6,5] => 9 [4,1,2,5,3,6] => 16 [4,1,2,5,6,3] => 9 [4,1,2,6,3,5] => 16 [4,1,2,6,5,3] => 13 [4,1,3,2,5,6] => 14 [4,1,3,2,6,5] => 14 [4,1,3,5,2,6] => 18 [4,1,3,5,6,2] => 16 [4,1,3,6,2,5] => 16 [4,1,3,6,5,2] => 14 [4,1,5,2,3,6] => 14 [4,1,5,2,6,3] => 15 [4,1,5,3,2,6] => 15 [4,1,5,3,6,2] => 17 [4,1,5,6,2,3] => 13 [4,1,5,6,3,2] => 14 [4,1,6,2,3,5] => 15 [4,1,6,2,5,3] => 16 [4,1,6,3,2,5] => 10 [4,1,6,3,5,2] => 16 [4,1,6,5,2,3] => 10 [4,1,6,5,3,2] => 15 [4,2,1,3,5,6] => 14 [4,2,1,3,6,5] => 14 [4,2,1,5,3,6] => 14 [4,2,1,5,6,3] => 13 [4,2,1,6,3,5] => 15 [4,2,1,6,5,3] => 14 [4,2,3,1,5,6] => 12 [4,2,3,1,6,5] => 13 [4,2,3,5,1,6] => 14 [4,2,3,5,6,1] => 13 [4,2,3,6,1,5] => 14 [4,2,3,6,5,1] => 12 [4,2,5,1,3,6] => 15 [4,2,5,1,6,3] => 16 [4,2,5,3,1,6] => 17 [4,2,5,3,6,1] => 17 [4,2,5,6,1,3] => 15 [4,2,5,6,3,1] => 14 [4,2,6,1,3,5] => 16 [4,2,6,1,5,3] => 16 [4,2,6,3,1,5] => 16 [4,2,6,3,5,1] => 16 [4,2,6,5,1,3] => 14 [4,2,6,5,3,1] => 14 [4,3,1,2,5,6] => 12 [4,3,1,2,6,5] => 14 [4,3,1,5,2,6] => 14 [4,3,1,5,6,2] => 14 [4,3,1,6,2,5] => 15 [4,3,1,6,5,2] => 13 [4,3,2,1,5,6] => 9 [4,3,2,1,6,5] => 8 [4,3,2,5,1,6] => 12 [4,3,2,5,6,1] => 7 [4,3,2,6,1,5] => 14 [4,3,2,6,5,1] => 10 [4,3,5,1,2,6] => 13 [4,3,5,1,6,2] => 16 [4,3,5,2,1,6] => 14 [4,3,5,2,6,1] => 15 [4,3,5,6,1,2] => 14 [4,3,5,6,2,1] => 12 [4,3,6,1,2,5] => 10 [4,3,6,1,5,2] => 14 [4,3,6,2,1,5] => 15 [4,3,6,2,5,1] => 14 [4,3,6,5,1,2] => 13 [4,3,6,5,2,1] => 8 [4,5,1,2,3,6] => 10 [4,5,1,2,6,3] => 13 [4,5,1,3,2,6] => 12 [4,5,1,3,6,2] => 14 [4,5,1,6,2,3] => 14 [4,5,1,6,3,2] => 13 [4,5,2,1,3,6] => 13 [4,5,2,1,6,3] => 10 [4,5,2,3,1,6] => 13 [4,5,2,3,6,1] => 9 [4,5,2,6,1,3] => 15 [4,5,2,6,3,1] => 14 [4,5,3,1,2,6] => 14 [4,5,3,1,6,2] => 15 [4,5,3,2,1,6] => 12 [4,5,3,2,6,1] => 13 [4,5,3,6,1,2] => 14 [4,5,3,6,2,1] => 14 [4,5,6,1,2,3] => 8 [4,5,6,1,3,2] => 12 [4,5,6,2,1,3] => 12 [4,5,6,2,3,1] => 10 [4,5,6,3,1,2] => 12 [4,5,6,3,2,1] => 6 [4,6,1,2,3,5] => 14 [4,6,1,2,5,3] => 15 [4,6,1,3,2,5] => 14 [4,6,1,3,5,2] => 16 [4,6,1,5,2,3] => 15 [4,6,1,5,3,2] => 16 [4,6,2,1,3,5] => 16 [4,6,2,1,5,3] => 14 [4,6,2,3,1,5] => 15 [4,6,2,3,5,1] => 15 [4,6,2,5,1,3] => 15 [4,6,2,5,3,1] => 17 [4,6,3,1,2,5] => 15 [4,6,3,1,5,2] => 15 [4,6,3,2,1,5] => 14 [4,6,3,2,5,1] => 15 [4,6,3,5,1,2] => 16 [4,6,3,5,2,1] => 17 [4,6,5,1,2,3] => 12 [4,6,5,1,3,2] => 14 [4,6,5,2,1,3] => 13 [4,6,5,2,3,1] => 13 [4,6,5,3,1,2] => 15 [4,6,5,3,2,1] => 13 [5,1,2,3,4,6] => 10 [5,1,2,3,6,4] => 14 [5,1,2,4,3,6] => 13 [5,1,2,4,6,3] => 16 [5,1,2,6,3,4] => 15 [5,1,2,6,4,3] => 14 [5,1,3,2,4,6] => 14 [5,1,3,2,6,4] => 15 [5,1,3,4,2,6] => 15 [5,1,3,4,6,2] => 17 [5,1,3,6,2,4] => 16 [5,1,3,6,4,2] => 17 [5,1,4,2,3,6] => 14 [5,1,4,2,6,3] => 17 [5,1,4,3,2,6] => 12 [5,1,4,3,6,2] => 17 [5,1,4,6,2,3] => 14 [5,1,4,6,3,2] => 16 [5,1,6,2,3,4] => 14 [5,1,6,2,4,3] => 16 [5,1,6,3,2,4] => 14 [5,1,6,3,4,2] => 15 [5,1,6,4,2,3] => 15 [5,1,6,4,3,2] => 14 [5,2,1,3,4,6] => 13 [5,2,1,3,6,4] => 15 [5,2,1,4,3,6] => 9 [5,2,1,4,6,3] => 14 [5,2,1,6,3,4] => 10 [5,2,1,6,4,3] => 13 [5,2,3,1,4,6] => 14 [5,2,3,1,6,4] => 14 [5,2,3,4,1,6] => 7 [5,2,3,4,6,1] => 12 [5,2,3,6,1,4] => 10 [5,2,3,6,4,1] => 15 [5,2,4,1,3,6] => 17 [5,2,4,1,6,3] => 16 [5,2,4,3,1,6] => 14 [5,2,4,3,6,1] => 15 [5,2,4,6,1,3] => 16 [5,2,4,6,3,1] => 18 [5,2,6,1,3,4] => 15 [5,2,6,1,4,3] => 14 [5,2,6,3,1,4] => 16 [5,2,6,3,4,1] => 15 [5,2,6,4,1,3] => 15 [5,2,6,4,3,1] => 15 [5,3,1,2,4,6] => 15 [5,3,1,2,6,4] => 16 [5,3,1,4,2,6] => 17 [5,3,1,4,6,2] => 17 [5,3,1,6,2,4] => 16 [5,3,1,6,4,2] => 15 [5,3,2,1,4,6] => 12 [5,3,2,1,6,4] => 14 [5,3,2,4,1,6] => 13 [5,3,2,4,6,1] => 14 [5,3,2,6,1,4] => 15 [5,3,2,6,4,1] => 14 [5,3,4,1,2,6] => 13 [5,3,4,1,6,2] => 15 [5,3,4,2,1,6] => 12 [5,3,4,2,6,1] => 14 [5,3,4,6,1,2] => 14 [5,3,4,6,2,1] => 14 [5,3,6,1,2,4] => 15 [5,3,6,1,4,2] => 15 [5,3,6,2,1,4] => 16 [5,3,6,2,4,1] => 17 [5,3,6,4,1,2] => 16 [5,3,6,4,2,1] => 17 [5,4,1,2,3,6] => 7 [5,4,1,2,6,3] => 14 [5,4,1,3,2,6] => 13 [5,4,1,3,6,2] => 16 [5,4,1,6,2,3] => 13 [5,4,1,6,3,2] => 9 [5,4,2,1,3,6] => 14 [5,4,2,1,6,3] => 15 [5,4,2,3,1,6] => 12 [5,4,2,3,6,1] => 13 [5,4,2,6,1,3] => 16 [5,4,2,6,3,1] => 16 [5,4,3,1,2,6] => 12 [5,4,3,1,6,2] => 14 [5,4,3,2,1,6] => 4 [5,4,3,2,6,1] => 10 [5,4,3,6,1,2] => 9 [5,4,3,6,2,1] => 13 [5,4,6,1,2,3] => 12 [5,4,6,1,3,2] => 13 [5,4,6,2,1,3] => 14 [5,4,6,2,3,1] => 13 [5,4,6,3,1,2] => 15 [5,4,6,3,2,1] => 13 [5,6,1,2,3,4] => 8 [5,6,1,2,4,3] => 14 [5,6,1,3,2,4] => 13 [5,6,1,3,4,2] => 14 [5,6,1,4,2,3] => 14 [5,6,1,4,3,2] => 9 [5,6,2,1,3,4] => 14 [5,6,2,1,4,3] => 13 [5,6,2,3,1,4] => 14 [5,6,2,3,4,1] => 11 [5,6,2,4,1,3] => 16 [5,6,2,4,3,1] => 14 [5,6,3,1,2,4] => 14 [5,6,3,1,4,2] => 16 [5,6,3,2,1,4] => 9 [5,6,3,2,4,1] => 14 [5,6,3,4,1,2] => 11 [5,6,3,4,2,1] => 14 [5,6,4,1,2,3] => 12 [5,6,4,1,3,2] => 15 [5,6,4,2,1,3] => 15 [5,6,4,2,3,1] => 14 [5,6,4,3,1,2] => 15 [5,6,4,3,2,1] => 11 [6,1,2,3,4,5] => 4 [6,1,2,3,5,4] => 12 [6,1,2,4,3,5] => 12 [6,1,2,4,5,3] => 13 [6,1,2,5,3,4] => 14 [6,1,2,5,4,3] => 7 [6,1,3,2,4,5] => 12 [6,1,3,2,5,4] => 13 [6,1,3,4,2,5] => 14 [6,1,3,4,5,2] => 12 [6,1,3,5,2,4] => 17 [6,1,3,5,4,2] => 14 [6,1,4,2,3,5] => 13 [6,1,4,2,5,3] => 17 [6,1,4,3,2,5] => 7 [6,1,4,3,5,2] => 15 [6,1,4,5,2,3] => 9 [6,1,4,5,3,2] => 13 [6,1,5,2,3,4] => 12 [6,1,5,2,4,3] => 15 [6,1,5,3,2,4] => 14 [6,1,5,3,4,2] => 14 [6,1,5,4,2,3] => 13 [6,1,5,4,3,2] => 10 [6,2,1,3,4,5] => 12 [6,2,1,3,5,4] => 14 [6,2,1,4,3,5] => 13 [6,2,1,4,5,3] => 12 [6,2,1,5,3,4] => 13 [6,2,1,5,4,3] => 10 [6,2,3,1,4,5] => 13 [6,2,3,1,5,4] => 12 [6,2,3,4,1,5] => 12 [6,2,3,4,5,1] => 6 [6,2,3,5,1,4] => 15 [6,2,3,5,4,1] => 10 [6,2,4,1,3,5] => 17 [6,2,4,1,5,3] => 16 [6,2,4,3,1,5] => 15 [6,2,4,3,5,1] => 12 [6,2,4,5,1,3] => 15 [6,2,4,5,3,1] => 13 [6,2,5,1,3,4] => 14 [6,2,5,1,4,3] => 14 [6,2,5,3,1,4] => 18 [6,2,5,3,4,1] => 13 [6,2,5,4,1,3] => 15 [6,2,5,4,3,1] => 10 [6,3,1,2,4,5] => 14 [6,3,1,2,5,4] => 13 [6,3,1,4,2,5] => 17 [6,3,1,4,5,2] => 15 [6,3,1,5,2,4] => 15 [6,3,1,5,4,2] => 14 [6,3,2,1,4,5] => 7 [6,3,2,1,5,4] => 10 [6,3,2,4,1,5] => 14 [6,3,2,4,5,1] => 10 [6,3,2,5,1,4] => 14 [6,3,2,5,4,1] => 7 [6,3,4,1,2,5] => 9 [6,3,4,1,5,2] => 15 [6,3,4,2,1,5] => 13 [6,3,4,2,5,1] => 13 [6,3,4,5,1,2] => 11 [6,3,4,5,2,1] => 5 [6,3,5,1,2,4] => 14 [6,3,5,1,4,2] => 17 [6,3,5,2,1,4] => 16 [6,3,5,2,4,1] => 17 [6,3,5,4,1,2] => 14 [6,3,5,4,2,1] => 12 [6,4,1,2,3,5] => 12 [6,4,1,2,5,3] => 14 [6,4,1,3,2,5] => 14 [6,4,1,3,5,2] => 18 [6,4,1,5,2,3] => 14 [6,4,1,5,3,2] => 16 [6,4,2,1,3,5] => 15 [6,4,2,1,5,3] => 14 [6,4,2,3,1,5] => 14 [6,4,2,3,5,1] => 13 [6,4,2,5,1,3] => 17 [6,4,2,5,3,1] => 17 [6,4,3,1,2,5] => 13 [6,4,3,1,5,2] => 15 [6,4,3,2,1,5] => 10 [6,4,3,2,5,1] => 10 [6,4,3,5,1,2] => 14 [6,4,3,5,2,1] => 12 [6,4,5,1,2,3] => 10 [6,4,5,1,3,2] => 13 [6,4,5,2,1,3] => 13 [6,4,5,2,3,1] => 11 [6,4,5,3,1,2] => 14 [6,4,5,3,2,1] => 9 [6,5,1,2,3,4] => 9 [6,5,1,2,4,3] => 12 [6,5,1,3,2,4] => 12 [6,5,1,3,4,2] => 14 [6,5,1,4,2,3] => 14 [6,5,1,4,3,2] => 13 [6,5,2,1,3,4] => 12 [6,5,2,1,4,3] => 8 [6,5,2,3,1,4] => 14 [6,5,2,3,4,1] => 5 [6,5,2,4,1,3] => 17 [6,5,2,4,3,1] => 12 [6,5,3,1,2,4] => 14 [6,5,3,1,4,2] => 17 [6,5,3,2,1,4] => 13 [6,5,3,2,4,1] => 12 [6,5,3,4,1,2] => 14 [6,5,3,4,2,1] => 10 [6,5,4,1,2,3] => 6 [6,5,4,1,3,2] => 13 [6,5,4,2,1,3] => 13 [6,5,4,2,3,1] => 9 [6,5,4,3,1,2] => 11 [6,5,4,3,2,1] => 0 [1,2,3,4,5,6,7] => 0 [1,2,3,4,5,7,6] => 19 [1,2,3,4,6,5,7] => 16 [1,2,3,4,6,7,5] => 23 [1,2,3,4,7,5,6] => 23 [1,2,3,4,7,6,5] => 11 [1,2,3,5,4,6,7] => 17 [1,2,3,5,4,7,6] => 26 [1,2,3,5,6,4,7] => 21 [1,2,3,5,6,7,4] => 25 [1,2,3,5,7,4,6] => 30 [1,2,3,5,7,6,4] => 25 [1,2,3,6,4,5,7] => 21 [1,2,3,6,4,7,5] => 30 [1,2,3,6,5,4,7] => 9 [1,2,3,6,5,7,4] => 25 [1,2,3,6,7,4,5] => 14 [1,2,3,6,7,5,4] => 21 [1,2,3,7,4,5,6] => 25 [1,2,3,7,4,6,5] => 25 [1,2,3,7,5,4,6] => 25 [1,2,3,7,5,6,4] => 22 [1,2,3,7,6,4,5] => 21 [1,2,3,7,6,5,4] => 18 [1,2,4,3,5,6,7] => 17 [1,2,4,3,5,7,6] => 27 [1,2,4,3,6,5,7] => 23 [1,2,4,3,6,7,5] => 27 [1,2,4,3,7,5,6] => 27 [1,2,4,3,7,6,5] => 21 [1,2,4,5,3,6,7] => 22 [1,2,4,5,3,7,6] => 28 [1,2,4,5,6,3,7] => 22 [1,2,4,5,6,7,3] => 24 [1,2,4,5,7,3,6] => 30 [1,2,4,5,7,6,3] => 26 [1,2,4,6,3,5,7] => 30 [1,2,4,6,3,7,5] => 32 [1,2,4,6,5,3,7] => 24 [1,2,4,6,5,7,3] => 28 [1,2,4,6,7,3,5] => 26 [1,2,4,6,7,5,3] => 28 [1,2,4,7,3,5,6] => 31 [1,2,4,7,3,6,5] => 27 [1,2,4,7,5,3,6] => 33 [1,2,4,7,5,6,3] => 27 [1,2,4,7,6,3,5] => 27 [1,2,4,7,6,5,3] => 25 [1,2,5,3,4,6,7] => 22 [1,2,5,3,4,7,6] => 28 [1,2,5,3,6,4,7] => 30 [1,2,5,3,6,7,4] => 31 [1,2,5,3,7,4,6] => 32 [1,2,5,3,7,6,4] => 27 [1,2,5,4,3,6,7] => 10 [1,2,5,4,3,7,6] => 22 [1,2,5,4,6,3,7] => 24 [1,2,5,4,6,7,3] => 26 [1,2,5,4,7,3,6] => 28 [1,2,5,4,7,6,3] => 18 [1,2,5,6,3,4,7] => 13 [1,2,5,6,3,7,4] => 26 [1,2,5,6,4,3,7] => 19 [1,2,5,6,4,7,3] => 27 [1,2,5,6,7,3,4] => 20 [1,2,5,6,7,4,3] => 15 [1,2,5,7,3,4,6] => 26 [1,2,5,7,3,6,4] => 27 [1,2,5,7,4,3,6] => 28 [1,2,5,7,4,6,3] => 30 [1,2,5,7,6,3,4] => 25 [1,2,5,7,6,4,3] => 26 [1,2,6,3,4,5,7] => 22 [1,2,6,3,4,7,5] => 30 [1,2,6,3,5,4,7] => 24 [1,2,6,3,5,7,4] => 33 [1,2,6,3,7,4,5] => 26 [1,2,6,3,7,5,4] => 27 [1,2,6,4,3,5,7] => 24 [1,2,6,4,3,7,5] => 28 [1,2,6,4,5,3,7] => 22 [1,2,6,4,5,7,3] => 28 [1,2,6,4,7,3,5] => 28 [1,2,6,4,7,5,3] => 30 [1,2,6,5,3,4,7] => 19 [1,2,6,5,3,7,4] => 28 [1,2,6,5,4,3,7] => 15 [1,2,6,5,4,7,3] => 25 [1,2,6,5,7,3,4] => 24 [1,2,6,5,7,4,3] => 25 [1,2,6,7,3,4,5] => 20 [1,2,6,7,3,5,4] => 25 [1,2,6,7,4,3,5] => 24 [1,2,6,7,4,5,3] => 26 [1,2,6,7,5,3,4] => 27 [1,2,6,7,5,4,3] => 24 [1,2,7,3,4,5,6] => 24 [1,2,7,3,4,6,5] => 26 [1,2,7,3,5,4,6] => 28 [1,2,7,3,5,6,4] => 27 [1,2,7,3,6,4,5] => 28 [1,2,7,3,6,5,4] => 25 [1,2,7,4,3,5,6] => 26 [1,2,7,4,3,6,5] => 18 [1,2,7,4,5,3,6] => 28 [1,2,7,4,5,6,3] => 15 [1,2,7,4,6,3,5] => 30 [1,2,7,4,6,5,3] => 25 [1,2,7,5,3,4,6] => 27 [1,2,7,5,3,6,4] => 30 [1,2,7,5,4,3,6] => 25 [1,2,7,5,4,6,3] => 26 [1,2,7,5,6,3,4] => 26 [1,2,7,5,6,4,3] => 24 [1,2,7,6,3,4,5] => 15 [1,2,7,6,3,5,4] => 26 [1,2,7,6,4,3,5] => 25 [1,2,7,6,4,5,3] => 24 [1,2,7,6,5,3,4] => 24 [1,2,7,6,5,4,3] => 12 [1,3,2,4,5,6,7] => 16 [1,3,2,4,5,7,6] => 26 [1,3,2,4,6,5,7] => 25 [1,3,2,4,6,7,5] => 28 [1,3,2,4,7,5,6] => 28 [1,3,2,4,7,6,5] => 21 [1,3,2,5,4,6,7] => 23 [1,3,2,5,4,7,6] => 24 [1,3,2,5,6,4,7] => 25 [1,3,2,5,6,7,4] => 22 [1,3,2,5,7,4,6] => 31 [1,3,2,5,7,6,4] => 27 [1,3,2,6,4,5,7] => 25 [1,3,2,6,4,7,5] => 31 [1,3,2,6,5,4,7] => 18 [1,3,2,6,5,7,4] => 27 [1,3,2,6,7,4,5] => 22 [1,3,2,6,7,5,4] => 25 [1,3,2,7,4,5,6] => 22 [1,3,2,7,4,6,5] => 27 [1,3,2,7,5,4,6] => 27 [1,3,2,7,5,6,4] => 26 [1,3,2,7,6,4,5] => 25 [1,3,2,7,6,5,4] => 19 [1,3,4,2,5,6,7] => 21 [1,3,4,2,5,7,6] => 28 [1,3,4,2,6,5,7] => 25 [1,3,4,2,6,7,5] => 28 [1,3,4,2,7,5,6] => 27 [1,3,4,2,7,6,5] => 23 [1,3,4,5,2,6,7] => 22 [1,3,4,5,2,7,6] => 22 [1,3,4,5,6,2,7] => 20 [1,3,4,5,6,7,2] => 16 [1,3,4,5,7,2,6] => 29 [1,3,4,5,7,6,2] => 25 [1,3,4,6,2,5,7] => 29 [1,3,4,6,2,7,5] => 32 [1,3,4,6,5,2,7] => 23 [1,3,4,6,5,7,2] => 26 [1,3,4,6,7,2,5] => 27 [1,3,4,6,7,5,2] => 27 [1,3,4,7,2,5,6] => 23 [1,3,4,7,2,6,5] => 26 [1,3,4,7,5,2,6] => 31 [1,3,4,7,5,6,2] => 27 [1,3,4,7,6,2,5] => 26 [1,3,4,7,6,5,2] => 19 [1,3,5,2,4,6,7] => 30 [1,3,5,2,4,7,6] => 32 [1,3,5,2,6,4,7] => 31 [1,3,5,2,6,7,4] => 32 [1,3,5,2,7,4,6] => 31 [1,3,5,2,7,6,4] => 30 [1,3,5,4,2,6,7] => 24 [1,3,5,4,2,7,6] => 28 [1,3,5,4,6,2,7] => 26 [1,3,5,4,6,7,2] => 26 [1,3,5,4,7,2,6] => 30 [1,3,5,4,7,6,2] => 26 [1,3,5,6,2,4,7] => 25 [1,3,5,6,2,7,4] => 30 [1,3,5,6,4,2,7] => 26 [1,3,5,6,4,7,2] => 28 [1,3,5,6,7,2,4] => 28 [1,3,5,6,7,4,2] => 25 [1,3,5,7,2,4,6] => 29 [1,3,5,7,2,6,4] => 30 [1,3,5,7,4,2,6] => 32 [1,3,5,7,4,6,2] => 32 [1,3,5,7,6,2,4] => 30 [1,3,5,7,6,4,2] => 29 [1,3,6,2,4,5,7] => 29 [1,3,6,2,4,7,5] => 31 [1,3,6,2,5,4,7] => 26 [1,3,6,2,5,7,4] => 31 [1,3,6,2,7,4,5] => 26 [1,3,6,2,7,5,4] => 29 [1,3,6,4,2,5,7] => 33 [1,3,6,4,2,7,5] => 32 [1,3,6,4,5,2,7] => 26 [1,3,6,4,5,7,2] => 28 [1,3,6,4,7,2,5] => 29 [1,3,6,4,7,5,2] => 32 [1,3,6,5,2,4,7] => 27 [1,3,6,5,2,7,4] => 24 [1,3,6,5,4,2,7] => 23 [1,3,6,5,4,7,2] => 20 [1,3,6,5,7,2,4] => 29 [1,3,6,5,7,4,2] => 29 [1,3,6,7,2,4,5] => 25 [1,3,6,7,2,5,4] => 23 [1,3,6,7,4,2,5] => 27 [1,3,6,7,4,5,2] => 22 [1,3,6,7,5,2,4] => 30 [1,3,6,7,5,4,2] => 27 [1,3,7,2,4,5,6] => 30 [1,3,7,2,4,6,5] => 30 [1,3,7,2,5,4,6] => 30 [1,3,7,2,5,6,4] => 28 [1,3,7,2,6,4,5] => 30 [1,3,7,2,6,5,4] => 28 [1,3,7,4,2,5,6] => 32 [1,3,7,4,2,6,5] => 27 [1,3,7,4,5,2,6] => 32 [1,3,7,4,5,6,2] => 24 [1,3,7,4,6,2,5] => 31 [1,3,7,4,6,5,2] => 28 [1,3,7,5,2,4,6] => 32 [1,3,7,5,2,6,4] => 29 [1,3,7,5,4,2,6] => 32 [1,3,7,5,4,6,2] => 28 [1,3,7,5,6,2,4] => 29 [1,3,7,5,6,4,2] => 28 [1,3,7,6,2,4,5] => 26 [1,3,7,6,2,5,4] => 28 [1,3,7,6,4,2,5] => 30 [1,3,7,6,4,5,2] => 26 [1,3,7,6,5,2,4] => 28 [1,3,7,6,5,4,2] => 22 [1,4,2,3,5,6,7] => 21 [1,4,2,3,5,7,6] => 28 [1,4,2,3,6,5,7] => 25 [1,4,2,3,6,7,5] => 27 [1,4,2,3,7,5,6] => 28 [1,4,2,3,7,6,5] => 23 [1,4,2,5,3,6,7] => 30 [1,4,2,5,3,7,6] => 32 [1,4,2,5,6,3,7] => 29 [1,4,2,5,6,7,3] => 30 [1,4,2,5,7,3,6] => 31 [1,4,2,5,7,6,3] => 30 [1,4,2,6,3,5,7] => 31 [1,4,2,6,3,7,5] => 31 [1,4,2,6,5,3,7] => 26 [1,4,2,6,5,7,3] => 30 [1,4,2,6,7,3,5] => 26 [1,4,2,6,7,5,3] => 30 [1,4,2,7,3,5,6] => 32 [1,4,2,7,3,6,5] => 30 [1,4,2,7,5,3,6] => 31 [1,4,2,7,5,6,3] => 28 [1,4,2,7,6,3,5] => 29 [1,4,2,7,6,5,3] => 28 [1,4,3,2,5,6,7] => 9 [1,4,3,2,5,7,6] => 22 [1,4,3,2,6,5,7] => 18 [1,4,3,2,6,7,5] => 23 [1,4,3,2,7,5,6] => 23 [1,4,3,2,7,6,5] => 15 [1,4,3,5,2,6,7] => 24 [1,4,3,5,2,7,6] => 28 [1,4,3,5,6,2,7] => 23 [1,4,3,5,6,7,2] => 25 [1,4,3,5,7,2,6] => 29 [1,4,3,5,7,6,2] => 27 [1,4,3,6,2,5,7] => 26 [1,4,3,6,2,7,5] => 30 [1,4,3,6,5,2,7] => 16 [1,4,3,6,5,7,2] => 26 [1,4,3,6,7,2,5] => 19 [1,4,3,6,7,5,2] => 25 [1,4,3,7,2,5,6] => 27 [1,4,3,7,2,6,5] => 27 [1,4,3,7,5,2,6] => 27 [1,4,3,7,5,6,2] => 24 [1,4,3,7,6,2,5] => 24 [1,4,3,7,6,5,2] => 21 [1,4,5,2,3,6,7] => 13 [1,4,5,2,3,7,6] => 24 [1,4,5,2,6,3,7] => 25 [1,4,5,2,6,7,3] => 28 [1,4,5,2,7,3,6] => 27 [1,4,5,2,7,6,3] => 19 [1,4,5,3,2,6,7] => 19 [1,4,5,3,2,7,6] => 26 [1,4,5,3,6,2,7] => 26 [1,4,5,3,6,7,2] => 27 [1,4,5,3,7,2,6] => 30 [1,4,5,3,7,6,2] => 24 [1,4,5,6,2,3,7] => 17 [1,4,5,6,2,7,3] => 27 [1,4,5,6,3,2,7] => 12 [1,4,5,6,3,7,2] => 24 [1,4,5,6,7,2,3] => 15 [1,4,5,6,7,3,2] => 17 [1,4,5,7,2,3,6] => 25 [1,4,5,7,2,6,3] => 28 [1,4,5,7,3,2,6] => 26 [1,4,5,7,3,6,2] => 27 [1,4,5,7,6,2,3] => 25 [1,4,5,7,6,3,2] => 23 [1,4,6,2,3,5,7] => 25 [1,4,6,2,3,7,5] => 27 [1,4,6,2,5,3,7] => 28 [1,4,6,2,5,7,3] => 30 [1,4,6,2,7,3,5] => 29 [1,4,6,2,7,5,3] => 29 [1,4,6,3,2,5,7] => 27 [1,4,6,3,2,7,5] => 30 [1,4,6,3,5,2,7] => 30 [1,4,6,3,5,7,2] => 32 [1,4,6,3,7,2,5] => 30 [1,4,6,3,7,5,2] => 29 [1,4,6,5,2,3,7] => 23 [1,4,6,5,2,7,3] => 29 [1,4,6,5,3,2,7] => 23 ----------------------------------------------------------------------------- Created: Nov 07, 2020 at 18:04 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Nov 07, 2020 at 18:04 by Martin Rubey