***************************************************************************** * 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: St000625 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The sum of the minimal distances to a greater element. Set $\pi_0 = \pi_{n+1} = n+1$, then this statistic is $$\sum_{i=1}^n \min_d(\pi_{i-d}>\pi_i\text{ or }\pi_{i+d}>\pi_i)$$ This statistic appears in [1]. The generating function for the sequence of maximal values attained on $\mathfrak S_r$, $r\geq 0$ apparently coincides with [2], which satisfies the functional equation $$(x-1)^2 (x+1)^3 f(x^2) - (x-1)^2 (x+1) f(x) + x = 0.$$ ----------------------------------------------------------------------------- References: [1] newbie How to find a permutation of [n] so that $\sum \{\min (i-l[i],r[i]-i)\}$ is maximized? [[MathOverflow:251968]] [2] Total number of 1's in binary expansions of 0, ..., n. [[OEIS:A000788]] ----------------------------------------------------------------------------- Code: def statistic(pi): n = len(pi) def closest_major(i): ai = pi[i] distance = 1 while True: if (i-distance < 0 or pi[i-distance] >= ai or i+distance >= n or pi[i+distance] >= ai): return distance distance += 1 return sum(closest_major(i) for i in range(n)) ----------------------------------------------------------------------------- Statistic values: [1,2] => 2 [2,1] => 2 [1,2,3] => 3 [1,3,2] => 4 [2,1,3] => 3 [2,3,1] => 4 [3,1,2] => 3 [3,2,1] => 3 [1,2,3,4] => 4 [1,2,4,3] => 5 [1,3,2,4] => 5 [1,3,4,2] => 5 [1,4,2,3] => 5 [1,4,3,2] => 5 [2,1,3,4] => 4 [2,1,4,3] => 5 [2,3,1,4] => 5 [2,3,4,1] => 5 [2,4,1,3] => 5 [2,4,3,1] => 5 [3,1,2,4] => 4 [3,1,4,2] => 5 [3,2,1,4] => 4 [3,2,4,1] => 5 [3,4,1,2] => 5 [3,4,2,1] => 5 [4,1,2,3] => 4 [4,1,3,2] => 5 [4,2,1,3] => 4 [4,2,3,1] => 5 [4,3,1,2] => 4 [4,3,2,1] => 4 [1,2,3,4,5] => 5 [1,2,3,5,4] => 6 [1,2,4,3,5] => 6 [1,2,4,5,3] => 6 [1,2,5,3,4] => 7 [1,2,5,4,3] => 7 [1,3,2,4,5] => 6 [1,3,2,5,4] => 7 [1,3,4,2,5] => 6 [1,3,4,5,2] => 6 [1,3,5,2,4] => 7 [1,3,5,4,2] => 7 [1,4,2,3,5] => 6 [1,4,2,5,3] => 7 [1,4,3,2,5] => 6 [1,4,3,5,2] => 7 [1,4,5,2,3] => 7 [1,4,5,3,2] => 7 [1,5,2,3,4] => 6 [1,5,2,4,3] => 7 [1,5,3,2,4] => 6 [1,5,3,4,2] => 7 [1,5,4,2,3] => 6 [1,5,4,3,2] => 6 [2,1,3,4,5] => 5 [2,1,3,5,4] => 6 [2,1,4,3,5] => 6 [2,1,4,5,3] => 6 [2,1,5,3,4] => 7 [2,1,5,4,3] => 7 [2,3,1,4,5] => 6 [2,3,1,5,4] => 7 [2,3,4,1,5] => 6 [2,3,4,5,1] => 6 [2,3,5,1,4] => 7 [2,3,5,4,1] => 7 [2,4,1,3,5] => 6 [2,4,1,5,3] => 7 [2,4,3,1,5] => 6 [2,4,3,5,1] => 7 [2,4,5,1,3] => 7 [2,4,5,3,1] => 7 [2,5,1,3,4] => 6 [2,5,1,4,3] => 7 [2,5,3,1,4] => 6 [2,5,3,4,1] => 7 [2,5,4,1,3] => 6 [2,5,4,3,1] => 6 [3,1,2,4,5] => 5 [3,1,2,5,4] => 6 [3,1,4,2,5] => 6 [3,1,4,5,2] => 6 [3,1,5,2,4] => 7 [3,1,5,4,2] => 7 [3,2,1,4,5] => 5 [3,2,1,5,4] => 6 [3,2,4,1,5] => 6 [3,2,4,5,1] => 6 [3,2,5,1,4] => 7 [3,2,5,4,1] => 7 [3,4,1,2,5] => 6 [3,4,1,5,2] => 7 [3,4,2,1,5] => 6 [3,4,2,5,1] => 7 [3,4,5,1,2] => 7 [3,4,5,2,1] => 7 [3,5,1,2,4] => 6 [3,5,1,4,2] => 7 [3,5,2,1,4] => 6 [3,5,2,4,1] => 7 [3,5,4,1,2] => 6 [3,5,4,2,1] => 6 [4,1,2,3,5] => 5 [4,1,2,5,3] => 6 [4,1,3,2,5] => 6 [4,1,3,5,2] => 6 [4,1,5,2,3] => 7 [4,1,5,3,2] => 7 [4,2,1,3,5] => 5 [4,2,1,5,3] => 6 [4,2,3,1,5] => 6 [4,2,3,5,1] => 6 [4,2,5,1,3] => 7 [4,2,5,3,1] => 7 [4,3,1,2,5] => 5 [4,3,1,5,2] => 6 [4,3,2,1,5] => 5 [4,3,2,5,1] => 6 [4,3,5,1,2] => 7 [4,3,5,2,1] => 7 [4,5,1,2,3] => 6 [4,5,1,3,2] => 7 [4,5,2,1,3] => 6 [4,5,2,3,1] => 7 [4,5,3,1,2] => 6 [4,5,3,2,1] => 6 [5,1,2,3,4] => 5 [5,1,2,4,3] => 6 [5,1,3,2,4] => 6 [5,1,3,4,2] => 6 [5,1,4,2,3] => 6 [5,1,4,3,2] => 6 [5,2,1,3,4] => 5 [5,2,1,4,3] => 6 [5,2,3,1,4] => 6 [5,2,3,4,1] => 6 [5,2,4,1,3] => 6 [5,2,4,3,1] => 6 [5,3,1,2,4] => 5 [5,3,1,4,2] => 6 [5,3,2,1,4] => 5 [5,3,2,4,1] => 6 [5,3,4,1,2] => 6 [5,3,4,2,1] => 6 [5,4,1,2,3] => 5 [5,4,1,3,2] => 6 [5,4,2,1,3] => 5 [5,4,2,3,1] => 6 [5,4,3,1,2] => 5 [5,4,3,2,1] => 5 [1,2,3,4,5,6] => 6 [1,2,3,4,6,5] => 7 [1,2,3,5,4,6] => 7 [1,2,3,5,6,4] => 7 [1,2,3,6,4,5] => 8 [1,2,3,6,5,4] => 8 [1,2,4,3,5,6] => 7 [1,2,4,3,6,5] => 8 [1,2,4,5,3,6] => 7 [1,2,4,5,6,3] => 7 [1,2,4,6,3,5] => 8 [1,2,4,6,5,3] => 8 [1,2,5,3,4,6] => 8 [1,2,5,3,6,4] => 8 [1,2,5,4,3,6] => 8 [1,2,5,4,6,3] => 8 [1,2,5,6,3,4] => 8 [1,2,5,6,4,3] => 8 [1,2,6,3,4,5] => 8 [1,2,6,3,5,4] => 9 [1,2,6,4,3,5] => 8 [1,2,6,4,5,3] => 9 [1,2,6,5,3,4] => 8 [1,2,6,5,4,3] => 8 [1,3,2,4,5,6] => 7 [1,3,2,4,6,5] => 8 [1,3,2,5,4,6] => 8 [1,3,2,5,6,4] => 8 [1,3,2,6,4,5] => 9 [1,3,2,6,5,4] => 9 [1,3,4,2,5,6] => 7 [1,3,4,2,6,5] => 8 [1,3,4,5,2,6] => 7 [1,3,4,5,6,2] => 7 [1,3,4,6,2,5] => 8 [1,3,4,6,5,2] => 8 [1,3,5,2,4,6] => 8 [1,3,5,2,6,4] => 8 [1,3,5,4,2,6] => 8 [1,3,5,4,6,2] => 8 [1,3,5,6,2,4] => 8 [1,3,5,6,4,2] => 8 [1,3,6,2,4,5] => 8 [1,3,6,2,5,4] => 9 [1,3,6,4,2,5] => 8 [1,3,6,4,5,2] => 9 [1,3,6,5,2,4] => 8 [1,3,6,5,4,2] => 8 [1,4,2,3,5,6] => 7 [1,4,2,3,6,5] => 8 [1,4,2,5,3,6] => 8 [1,4,2,5,6,3] => 8 [1,4,2,6,3,5] => 9 [1,4,2,6,5,3] => 9 [1,4,3,2,5,6] => 7 [1,4,3,2,6,5] => 8 [1,4,3,5,2,6] => 8 [1,4,3,5,6,2] => 8 [1,4,3,6,2,5] => 9 [1,4,3,6,5,2] => 9 [1,4,5,2,3,6] => 8 [1,4,5,2,6,3] => 8 [1,4,5,3,2,6] => 8 [1,4,5,3,6,2] => 8 [1,4,5,6,2,3] => 8 [1,4,5,6,3,2] => 8 [1,4,6,2,3,5] => 8 [1,4,6,2,5,3] => 9 [1,4,6,3,2,5] => 8 [1,4,6,3,5,2] => 9 [1,4,6,5,2,3] => 8 [1,4,6,5,3,2] => 8 [1,5,2,3,4,6] => 7 [1,5,2,3,6,4] => 8 [1,5,2,4,3,6] => 8 [1,5,2,4,6,3] => 8 [1,5,2,6,3,4] => 9 [1,5,2,6,4,3] => 9 [1,5,3,2,4,6] => 7 [1,5,3,2,6,4] => 8 [1,5,3,4,2,6] => 8 [1,5,3,4,6,2] => 8 [1,5,3,6,2,4] => 9 [1,5,3,6,4,2] => 9 [1,5,4,2,3,6] => 7 [1,5,4,2,6,3] => 8 [1,5,4,3,2,6] => 7 [1,5,4,3,6,2] => 8 [1,5,4,6,2,3] => 9 [1,5,4,6,3,2] => 9 [1,5,6,2,3,4] => 8 [1,5,6,2,4,3] => 9 [1,5,6,3,2,4] => 8 [1,5,6,3,4,2] => 9 [1,5,6,4,2,3] => 8 [1,5,6,4,3,2] => 8 [1,6,2,3,4,5] => 7 [1,6,2,3,5,4] => 8 [1,6,2,4,3,5] => 8 [1,6,2,4,5,3] => 8 [1,6,2,5,3,4] => 8 [1,6,2,5,4,3] => 8 [1,6,3,2,4,5] => 7 [1,6,3,2,5,4] => 8 [1,6,3,4,2,5] => 8 [1,6,3,4,5,2] => 8 [1,6,3,5,2,4] => 8 [1,6,3,5,4,2] => 8 [1,6,4,2,3,5] => 7 [1,6,4,2,5,3] => 8 [1,6,4,3,2,5] => 7 [1,6,4,3,5,2] => 8 [1,6,4,5,2,3] => 8 [1,6,4,5,3,2] => 8 [1,6,5,2,3,4] => 7 [1,6,5,2,4,3] => 8 [1,6,5,3,2,4] => 7 [1,6,5,3,4,2] => 8 [1,6,5,4,2,3] => 7 [1,6,5,4,3,2] => 7 [2,1,3,4,5,6] => 6 [2,1,3,4,6,5] => 7 [2,1,3,5,4,6] => 7 [2,1,3,5,6,4] => 7 [2,1,3,6,4,5] => 8 [2,1,3,6,5,4] => 8 [2,1,4,3,5,6] => 7 [2,1,4,3,6,5] => 8 [2,1,4,5,3,6] => 7 [2,1,4,5,6,3] => 7 [2,1,4,6,3,5] => 8 [2,1,4,6,5,3] => 8 [2,1,5,3,4,6] => 8 [2,1,5,3,6,4] => 8 [2,1,5,4,3,6] => 8 [2,1,5,4,6,3] => 8 [2,1,5,6,3,4] => 8 [2,1,5,6,4,3] => 8 [2,1,6,3,4,5] => 8 [2,1,6,3,5,4] => 9 [2,1,6,4,3,5] => 8 [2,1,6,4,5,3] => 9 [2,1,6,5,3,4] => 8 [2,1,6,5,4,3] => 8 [2,3,1,4,5,6] => 7 [2,3,1,4,6,5] => 8 [2,3,1,5,4,6] => 8 [2,3,1,5,6,4] => 8 [2,3,1,6,4,5] => 9 [2,3,1,6,5,4] => 9 [2,3,4,1,5,6] => 7 [2,3,4,1,6,5] => 8 [2,3,4,5,1,6] => 7 [2,3,4,5,6,1] => 7 [2,3,4,6,1,5] => 8 [2,3,4,6,5,1] => 8 [2,3,5,1,4,6] => 8 [2,3,5,1,6,4] => 8 [2,3,5,4,1,6] => 8 [2,3,5,4,6,1] => 8 [2,3,5,6,1,4] => 8 [2,3,5,6,4,1] => 8 [2,3,6,1,4,5] => 8 [2,3,6,1,5,4] => 9 [2,3,6,4,1,5] => 8 [2,3,6,4,5,1] => 9 [2,3,6,5,1,4] => 8 [2,3,6,5,4,1] => 8 [2,4,1,3,5,6] => 7 [2,4,1,3,6,5] => 8 [2,4,1,5,3,6] => 8 [2,4,1,5,6,3] => 8 [2,4,1,6,3,5] => 9 [2,4,1,6,5,3] => 9 [2,4,3,1,5,6] => 7 [2,4,3,1,6,5] => 8 [2,4,3,5,1,6] => 8 [2,4,3,5,6,1] => 8 [2,4,3,6,1,5] => 9 [2,4,3,6,5,1] => 9 [2,4,5,1,3,6] => 8 [2,4,5,1,6,3] => 8 [2,4,5,3,1,6] => 8 [2,4,5,3,6,1] => 8 [2,4,5,6,1,3] => 8 [2,4,5,6,3,1] => 8 [2,4,6,1,3,5] => 8 [2,4,6,1,5,3] => 9 [2,4,6,3,1,5] => 8 [2,4,6,3,5,1] => 9 [2,4,6,5,1,3] => 8 [2,4,6,5,3,1] => 8 [2,5,1,3,4,6] => 7 [2,5,1,3,6,4] => 8 [2,5,1,4,3,6] => 8 [2,5,1,4,6,3] => 8 [2,5,1,6,3,4] => 9 [2,5,1,6,4,3] => 9 [2,5,3,1,4,6] => 7 [2,5,3,1,6,4] => 8 [2,5,3,4,1,6] => 8 [2,5,3,4,6,1] => 8 [2,5,3,6,1,4] => 9 [2,5,3,6,4,1] => 9 [2,5,4,1,3,6] => 7 [2,5,4,1,6,3] => 8 [2,5,4,3,1,6] => 7 [2,5,4,3,6,1] => 8 [2,5,4,6,1,3] => 9 [2,5,4,6,3,1] => 9 [2,5,6,1,3,4] => 8 [2,5,6,1,4,3] => 9 [2,5,6,3,1,4] => 8 [2,5,6,3,4,1] => 9 [2,5,6,4,1,3] => 8 [2,5,6,4,3,1] => 8 [2,6,1,3,4,5] => 7 [2,6,1,3,5,4] => 8 [2,6,1,4,3,5] => 8 [2,6,1,4,5,3] => 8 [2,6,1,5,3,4] => 8 [2,6,1,5,4,3] => 8 [2,6,3,1,4,5] => 7 [2,6,3,1,5,4] => 8 [2,6,3,4,1,5] => 8 [2,6,3,4,5,1] => 8 [2,6,3,5,1,4] => 8 [2,6,3,5,4,1] => 8 [2,6,4,1,3,5] => 7 [2,6,4,1,5,3] => 8 [2,6,4,3,1,5] => 7 [2,6,4,3,5,1] => 8 [2,6,4,5,1,3] => 8 [2,6,4,5,3,1] => 8 [2,6,5,1,3,4] => 7 [2,6,5,1,4,3] => 8 [2,6,5,3,1,4] => 7 [2,6,5,3,4,1] => 8 [2,6,5,4,1,3] => 7 [2,6,5,4,3,1] => 7 [3,1,2,4,5,6] => 6 [3,1,2,4,6,5] => 7 [3,1,2,5,4,6] => 7 [3,1,2,5,6,4] => 7 [3,1,2,6,4,5] => 8 [3,1,2,6,5,4] => 8 [3,1,4,2,5,6] => 7 [3,1,4,2,6,5] => 8 [3,1,4,5,2,6] => 7 [3,1,4,5,6,2] => 7 [3,1,4,6,2,5] => 8 [3,1,4,6,5,2] => 8 [3,1,5,2,4,6] => 8 [3,1,5,2,6,4] => 8 [3,1,5,4,2,6] => 8 [3,1,5,4,6,2] => 8 [3,1,5,6,2,4] => 8 [3,1,5,6,4,2] => 8 [3,1,6,2,4,5] => 8 [3,1,6,2,5,4] => 9 [3,1,6,4,2,5] => 8 [3,1,6,4,5,2] => 9 [3,1,6,5,2,4] => 8 [3,1,6,5,4,2] => 8 [3,2,1,4,5,6] => 6 [3,2,1,4,6,5] => 7 [3,2,1,5,4,6] => 7 [3,2,1,5,6,4] => 7 [3,2,1,6,4,5] => 8 [3,2,1,6,5,4] => 8 [3,2,4,1,5,6] => 7 [3,2,4,1,6,5] => 8 [3,2,4,5,1,6] => 7 [3,2,4,5,6,1] => 7 [3,2,4,6,1,5] => 8 [3,2,4,6,5,1] => 8 [3,2,5,1,4,6] => 8 [3,2,5,1,6,4] => 8 [3,2,5,4,1,6] => 8 [3,2,5,4,6,1] => 8 [3,2,5,6,1,4] => 8 [3,2,5,6,4,1] => 8 [3,2,6,1,4,5] => 8 [3,2,6,1,5,4] => 9 [3,2,6,4,1,5] => 8 [3,2,6,4,5,1] => 9 [3,2,6,5,1,4] => 8 [3,2,6,5,4,1] => 8 [3,4,1,2,5,6] => 7 [3,4,1,2,6,5] => 8 [3,4,1,5,2,6] => 8 [3,4,1,5,6,2] => 8 [3,4,1,6,2,5] => 9 [3,4,1,6,5,2] => 9 [3,4,2,1,5,6] => 7 [3,4,2,1,6,5] => 8 [3,4,2,5,1,6] => 8 [3,4,2,5,6,1] => 8 [3,4,2,6,1,5] => 9 [3,4,2,6,5,1] => 9 [3,4,5,1,2,6] => 8 [3,4,5,1,6,2] => 8 [3,4,5,2,1,6] => 8 [3,4,5,2,6,1] => 8 [3,4,5,6,1,2] => 8 [3,4,5,6,2,1] => 8 [3,4,6,1,2,5] => 8 [3,4,6,1,5,2] => 9 [3,4,6,2,1,5] => 8 [3,4,6,2,5,1] => 9 [3,4,6,5,1,2] => 8 [3,4,6,5,2,1] => 8 [3,5,1,2,4,6] => 7 [3,5,1,2,6,4] => 8 [3,5,1,4,2,6] => 8 [3,5,1,4,6,2] => 8 [3,5,1,6,2,4] => 9 [3,5,1,6,4,2] => 9 [3,5,2,1,4,6] => 7 [3,5,2,1,6,4] => 8 [3,5,2,4,1,6] => 8 [3,5,2,4,6,1] => 8 [3,5,2,6,1,4] => 9 [3,5,2,6,4,1] => 9 [3,5,4,1,2,6] => 7 [3,5,4,1,6,2] => 8 [3,5,4,2,1,6] => 7 [3,5,4,2,6,1] => 8 [3,5,4,6,1,2] => 9 [3,5,4,6,2,1] => 9 [3,5,6,1,2,4] => 8 [3,5,6,1,4,2] => 9 [3,5,6,2,1,4] => 8 [3,5,6,2,4,1] => 9 [3,5,6,4,1,2] => 8 [3,5,6,4,2,1] => 8 [3,6,1,2,4,5] => 7 [3,6,1,2,5,4] => 8 [3,6,1,4,2,5] => 8 [3,6,1,4,5,2] => 8 [3,6,1,5,2,4] => 8 [3,6,1,5,4,2] => 8 [3,6,2,1,4,5] => 7 [3,6,2,1,5,4] => 8 [3,6,2,4,1,5] => 8 [3,6,2,4,5,1] => 8 [3,6,2,5,1,4] => 8 [3,6,2,5,4,1] => 8 [3,6,4,1,2,5] => 7 [3,6,4,1,5,2] => 8 [3,6,4,2,1,5] => 7 [3,6,4,2,5,1] => 8 [3,6,4,5,1,2] => 8 [3,6,4,5,2,1] => 8 [3,6,5,1,2,4] => 7 [3,6,5,1,4,2] => 8 [3,6,5,2,1,4] => 7 [3,6,5,2,4,1] => 8 [3,6,5,4,1,2] => 7 [3,6,5,4,2,1] => 7 [4,1,2,3,5,6] => 6 [4,1,2,3,6,5] => 7 [4,1,2,5,3,6] => 7 [4,1,2,5,6,3] => 7 [4,1,2,6,3,5] => 8 [4,1,2,6,5,3] => 8 [4,1,3,2,5,6] => 7 [4,1,3,2,6,5] => 8 [4,1,3,5,2,6] => 7 [4,1,3,5,6,2] => 7 [4,1,3,6,2,5] => 8 [4,1,3,6,5,2] => 8 [4,1,5,2,3,6] => 8 [4,1,5,2,6,3] => 8 [4,1,5,3,2,6] => 8 [4,1,5,3,6,2] => 8 [4,1,5,6,2,3] => 8 [4,1,5,6,3,2] => 8 [4,1,6,2,3,5] => 8 [4,1,6,2,5,3] => 9 [4,1,6,3,2,5] => 8 [4,1,6,3,5,2] => 9 [4,1,6,5,2,3] => 8 [4,1,6,5,3,2] => 8 [4,2,1,3,5,6] => 6 [4,2,1,3,6,5] => 7 [4,2,1,5,3,6] => 7 [4,2,1,5,6,3] => 7 [4,2,1,6,3,5] => 8 [4,2,1,6,5,3] => 8 [4,2,3,1,5,6] => 7 [4,2,3,1,6,5] => 8 [4,2,3,5,1,6] => 7 [4,2,3,5,6,1] => 7 [4,2,3,6,1,5] => 8 [4,2,3,6,5,1] => 8 [4,2,5,1,3,6] => 8 [4,2,5,1,6,3] => 8 [4,2,5,3,1,6] => 8 [4,2,5,3,6,1] => 8 [4,2,5,6,1,3] => 8 [4,2,5,6,3,1] => 8 [4,2,6,1,3,5] => 8 [4,2,6,1,5,3] => 9 [4,2,6,3,1,5] => 8 [4,2,6,3,5,1] => 9 [4,2,6,5,1,3] => 8 [4,2,6,5,3,1] => 8 [4,3,1,2,5,6] => 6 [4,3,1,2,6,5] => 7 [4,3,1,5,2,6] => 7 [4,3,1,5,6,2] => 7 [4,3,1,6,2,5] => 8 [4,3,1,6,5,2] => 8 [4,3,2,1,5,6] => 6 [4,3,2,1,6,5] => 7 [4,3,2,5,1,6] => 7 [4,3,2,5,6,1] => 7 [4,3,2,6,1,5] => 8 [4,3,2,6,5,1] => 8 [4,3,5,1,2,6] => 8 [4,3,5,1,6,2] => 8 [4,3,5,2,1,6] => 8 [4,3,5,2,6,1] => 8 [4,3,5,6,1,2] => 8 [4,3,5,6,2,1] => 8 [4,3,6,1,2,5] => 8 [4,3,6,1,5,2] => 9 [4,3,6,2,1,5] => 8 [4,3,6,2,5,1] => 9 [4,3,6,5,1,2] => 8 [4,3,6,5,2,1] => 8 [4,5,1,2,3,6] => 7 [4,5,1,2,6,3] => 8 [4,5,1,3,2,6] => 8 [4,5,1,3,6,2] => 8 [4,5,1,6,2,3] => 9 [4,5,1,6,3,2] => 9 [4,5,2,1,3,6] => 7 [4,5,2,1,6,3] => 8 [4,5,2,3,1,6] => 8 [4,5,2,3,6,1] => 8 [4,5,2,6,1,3] => 9 [4,5,2,6,3,1] => 9 [4,5,3,1,2,6] => 7 [4,5,3,1,6,2] => 8 [4,5,3,2,1,6] => 7 [4,5,3,2,6,1] => 8 [4,5,3,6,1,2] => 9 [4,5,3,6,2,1] => 9 [4,5,6,1,2,3] => 8 [4,5,6,1,3,2] => 9 [4,5,6,2,1,3] => 8 [4,5,6,2,3,1] => 9 [4,5,6,3,1,2] => 8 [4,5,6,3,2,1] => 8 [4,6,1,2,3,5] => 7 [4,6,1,2,5,3] => 8 [4,6,1,3,2,5] => 8 [4,6,1,3,5,2] => 8 [4,6,1,5,2,3] => 8 [4,6,1,5,3,2] => 8 [4,6,2,1,3,5] => 7 [4,6,2,1,5,3] => 8 [4,6,2,3,1,5] => 8 [4,6,2,3,5,1] => 8 [4,6,2,5,1,3] => 8 [4,6,2,5,3,1] => 8 [4,6,3,1,2,5] => 7 [4,6,3,1,5,2] => 8 [4,6,3,2,1,5] => 7 [4,6,3,2,5,1] => 8 [4,6,3,5,1,2] => 8 [4,6,3,5,2,1] => 8 [4,6,5,1,2,3] => 7 [4,6,5,1,3,2] => 8 [4,6,5,2,1,3] => 7 [4,6,5,2,3,1] => 8 [4,6,5,3,1,2] => 7 [4,6,5,3,2,1] => 7 [5,1,2,3,4,6] => 6 [5,1,2,3,6,4] => 7 [5,1,2,4,3,6] => 7 [5,1,2,4,6,3] => 7 [5,1,2,6,3,4] => 8 [5,1,2,6,4,3] => 8 [5,1,3,2,4,6] => 7 [5,1,3,2,6,4] => 8 [5,1,3,4,2,6] => 7 [5,1,3,4,6,2] => 7 [5,1,3,6,2,4] => 8 [5,1,3,6,4,2] => 8 [5,1,4,2,3,6] => 7 [5,1,4,2,6,3] => 8 [5,1,4,3,2,6] => 7 [5,1,4,3,6,2] => 8 [5,1,4,6,2,3] => 8 [5,1,4,6,3,2] => 8 [5,1,6,2,3,4] => 8 [5,1,6,2,4,3] => 9 [5,1,6,3,2,4] => 8 [5,1,6,3,4,2] => 9 [5,1,6,4,2,3] => 8 [5,1,6,4,3,2] => 8 [5,2,1,3,4,6] => 6 [5,2,1,3,6,4] => 7 [5,2,1,4,3,6] => 7 [5,2,1,4,6,3] => 7 [5,2,1,6,3,4] => 8 [5,2,1,6,4,3] => 8 [5,2,3,1,4,6] => 7 [5,2,3,1,6,4] => 8 [5,2,3,4,1,6] => 7 [5,2,3,4,6,1] => 7 [5,2,3,6,1,4] => 8 [5,2,3,6,4,1] => 8 [5,2,4,1,3,6] => 7 [5,2,4,1,6,3] => 8 [5,2,4,3,1,6] => 7 [5,2,4,3,6,1] => 8 [5,2,4,6,1,3] => 8 [5,2,4,6,3,1] => 8 [5,2,6,1,3,4] => 8 [5,2,6,1,4,3] => 9 [5,2,6,3,1,4] => 8 [5,2,6,3,4,1] => 9 [5,2,6,4,1,3] => 8 [5,2,6,4,3,1] => 8 [5,3,1,2,4,6] => 6 [5,3,1,2,6,4] => 7 [5,3,1,4,2,6] => 7 [5,3,1,4,6,2] => 7 [5,3,1,6,2,4] => 8 [5,3,1,6,4,2] => 8 [5,3,2,1,4,6] => 6 [5,3,2,1,6,4] => 7 [5,3,2,4,1,6] => 7 [5,3,2,4,6,1] => 7 [5,3,2,6,1,4] => 8 [5,3,2,6,4,1] => 8 [5,3,4,1,2,6] => 7 [5,3,4,1,6,2] => 8 [5,3,4,2,1,6] => 7 [5,3,4,2,6,1] => 8 [5,3,4,6,1,2] => 8 [5,3,4,6,2,1] => 8 [5,3,6,1,2,4] => 8 [5,3,6,1,4,2] => 9 [5,3,6,2,1,4] => 8 [5,3,6,2,4,1] => 9 [5,3,6,4,1,2] => 8 [5,3,6,4,2,1] => 8 [5,4,1,2,3,6] => 6 [5,4,1,2,6,3] => 7 [5,4,1,3,2,6] => 7 [5,4,1,3,6,2] => 7 [5,4,1,6,2,3] => 8 [5,4,1,6,3,2] => 8 [5,4,2,1,3,6] => 6 [5,4,2,1,6,3] => 7 [5,4,2,3,1,6] => 7 [5,4,2,3,6,1] => 7 [5,4,2,6,1,3] => 8 [5,4,2,6,3,1] => 8 [5,4,3,1,2,6] => 6 [5,4,3,1,6,2] => 7 [5,4,3,2,1,6] => 6 [5,4,3,2,6,1] => 7 [5,4,3,6,1,2] => 8 [5,4,3,6,2,1] => 8 [5,4,6,1,2,3] => 8 [5,4,6,1,3,2] => 9 [5,4,6,2,1,3] => 8 [5,4,6,2,3,1] => 9 [5,4,6,3,1,2] => 8 [5,4,6,3,2,1] => 8 [5,6,1,2,3,4] => 7 [5,6,1,2,4,3] => 8 [5,6,1,3,2,4] => 8 [5,6,1,3,4,2] => 8 [5,6,1,4,2,3] => 8 [5,6,1,4,3,2] => 8 [5,6,2,1,3,4] => 7 [5,6,2,1,4,3] => 8 [5,6,2,3,1,4] => 8 [5,6,2,3,4,1] => 8 [5,6,2,4,1,3] => 8 [5,6,2,4,3,1] => 8 [5,6,3,1,2,4] => 7 [5,6,3,1,4,2] => 8 [5,6,3,2,1,4] => 7 [5,6,3,2,4,1] => 8 [5,6,3,4,1,2] => 8 [5,6,3,4,2,1] => 8 [5,6,4,1,2,3] => 7 [5,6,4,1,3,2] => 8 [5,6,4,2,1,3] => 7 [5,6,4,2,3,1] => 8 [5,6,4,3,1,2] => 7 [5,6,4,3,2,1] => 7 [6,1,2,3,4,5] => 6 [6,1,2,3,5,4] => 7 [6,1,2,4,3,5] => 7 [6,1,2,4,5,3] => 7 [6,1,2,5,3,4] => 8 [6,1,2,5,4,3] => 8 [6,1,3,2,4,5] => 7 [6,1,3,2,5,4] => 8 [6,1,3,4,2,5] => 7 [6,1,3,4,5,2] => 7 [6,1,3,5,2,4] => 8 [6,1,3,5,4,2] => 8 [6,1,4,2,3,5] => 7 [6,1,4,2,5,3] => 8 [6,1,4,3,2,5] => 7 [6,1,4,3,5,2] => 8 [6,1,4,5,2,3] => 8 [6,1,4,5,3,2] => 8 [6,1,5,2,3,4] => 7 [6,1,5,2,4,3] => 8 [6,1,5,3,2,4] => 7 [6,1,5,3,4,2] => 8 [6,1,5,4,2,3] => 7 [6,1,5,4,3,2] => 7 [6,2,1,3,4,5] => 6 [6,2,1,3,5,4] => 7 [6,2,1,4,3,5] => 7 [6,2,1,4,5,3] => 7 [6,2,1,5,3,4] => 8 [6,2,1,5,4,3] => 8 [6,2,3,1,4,5] => 7 [6,2,3,1,5,4] => 8 [6,2,3,4,1,5] => 7 [6,2,3,4,5,1] => 7 [6,2,3,5,1,4] => 8 [6,2,3,5,4,1] => 8 [6,2,4,1,3,5] => 7 [6,2,4,1,5,3] => 8 [6,2,4,3,1,5] => 7 [6,2,4,3,5,1] => 8 [6,2,4,5,1,3] => 8 [6,2,4,5,3,1] => 8 [6,2,5,1,3,4] => 7 [6,2,5,1,4,3] => 8 [6,2,5,3,1,4] => 7 [6,2,5,3,4,1] => 8 [6,2,5,4,1,3] => 7 [6,2,5,4,3,1] => 7 [6,3,1,2,4,5] => 6 [6,3,1,2,5,4] => 7 [6,3,1,4,2,5] => 7 [6,3,1,4,5,2] => 7 [6,3,1,5,2,4] => 8 [6,3,1,5,4,2] => 8 [6,3,2,1,4,5] => 6 [6,3,2,1,5,4] => 7 [6,3,2,4,1,5] => 7 [6,3,2,4,5,1] => 7 [6,3,2,5,1,4] => 8 [6,3,2,5,4,1] => 8 [6,3,4,1,2,5] => 7 [6,3,4,1,5,2] => 8 [6,3,4,2,1,5] => 7 [6,3,4,2,5,1] => 8 [6,3,4,5,1,2] => 8 [6,3,4,5,2,1] => 8 [6,3,5,1,2,4] => 7 [6,3,5,1,4,2] => 8 [6,3,5,2,1,4] => 7 [6,3,5,2,4,1] => 8 [6,3,5,4,1,2] => 7 [6,3,5,4,2,1] => 7 [6,4,1,2,3,5] => 6 [6,4,1,2,5,3] => 7 [6,4,1,3,2,5] => 7 [6,4,1,3,5,2] => 7 [6,4,1,5,2,3] => 8 [6,4,1,5,3,2] => 8 [6,4,2,1,3,5] => 6 [6,4,2,1,5,3] => 7 [6,4,2,3,1,5] => 7 [6,4,2,3,5,1] => 7 [6,4,2,5,1,3] => 8 [6,4,2,5,3,1] => 8 [6,4,3,1,2,5] => 6 [6,4,3,1,5,2] => 7 [6,4,3,2,1,5] => 6 [6,4,3,2,5,1] => 7 [6,4,3,5,1,2] => 8 [6,4,3,5,2,1] => 8 [6,4,5,1,2,3] => 7 [6,4,5,1,3,2] => 8 [6,4,5,2,1,3] => 7 [6,4,5,2,3,1] => 8 [6,4,5,3,1,2] => 7 [6,4,5,3,2,1] => 7 [6,5,1,2,3,4] => 6 [6,5,1,2,4,3] => 7 [6,5,1,3,2,4] => 7 [6,5,1,3,4,2] => 7 [6,5,1,4,2,3] => 7 [6,5,1,4,3,2] => 7 [6,5,2,1,3,4] => 6 [6,5,2,1,4,3] => 7 [6,5,2,3,1,4] => 7 [6,5,2,3,4,1] => 7 [6,5,2,4,1,3] => 7 [6,5,2,4,3,1] => 7 [6,5,3,1,2,4] => 6 [6,5,3,1,4,2] => 7 [6,5,3,2,1,4] => 6 [6,5,3,2,4,1] => 7 [6,5,3,4,1,2] => 7 [6,5,3,4,2,1] => 7 [6,5,4,1,2,3] => 6 [6,5,4,1,3,2] => 7 [6,5,4,2,1,3] => 6 [6,5,4,2,3,1] => 7 [6,5,4,3,1,2] => 6 [6,5,4,3,2,1] => 6 [1,2,3,4,5,6,7] => 7 [1,2,3,4,5,7,6] => 8 [1,2,3,4,6,5,7] => 8 [1,2,3,4,6,7,5] => 8 [1,2,3,4,7,5,6] => 9 [1,2,3,4,7,6,5] => 9 [1,2,3,5,4,6,7] => 8 [1,2,3,5,4,7,6] => 9 [1,2,3,5,6,4,7] => 8 [1,2,3,5,6,7,4] => 8 [1,2,3,5,7,4,6] => 9 [1,2,3,5,7,6,4] => 9 [1,2,3,6,4,5,7] => 9 [1,2,3,6,4,7,5] => 9 [1,2,3,6,5,4,7] => 9 [1,2,3,6,5,7,4] => 9 [1,2,3,6,7,4,5] => 9 [1,2,3,6,7,5,4] => 9 [1,2,3,7,4,5,6] => 10 [1,2,3,7,4,6,5] => 11 [1,2,3,7,5,4,6] => 10 [1,2,3,7,5,6,4] => 11 [1,2,3,7,6,4,5] => 10 [1,2,3,7,6,5,4] => 10 [1,2,4,3,5,6,7] => 8 [1,2,4,3,5,7,6] => 9 [1,2,4,3,6,5,7] => 9 [1,2,4,3,6,7,5] => 9 [1,2,4,3,7,5,6] => 10 [1,2,4,3,7,6,5] => 10 [1,2,4,5,3,6,7] => 8 [1,2,4,5,3,7,6] => 9 [1,2,4,5,6,3,7] => 8 [1,2,4,5,6,7,3] => 8 [1,2,4,5,7,3,6] => 9 [1,2,4,5,7,6,3] => 9 [1,2,4,6,3,5,7] => 9 [1,2,4,6,3,7,5] => 9 [1,2,4,6,5,3,7] => 9 [1,2,4,6,5,7,3] => 9 [1,2,4,6,7,3,5] => 9 [1,2,4,6,7,5,3] => 9 [1,2,4,7,3,5,6] => 10 [1,2,4,7,3,6,5] => 11 [1,2,4,7,5,3,6] => 10 [1,2,4,7,5,6,3] => 11 [1,2,4,7,6,3,5] => 10 [1,2,4,7,6,5,3] => 10 [1,2,5,3,4,6,7] => 9 [1,2,5,3,4,7,6] => 10 [1,2,5,3,6,4,7] => 9 [1,2,5,3,6,7,4] => 9 [1,2,5,3,7,4,6] => 10 [1,2,5,3,7,6,4] => 10 [1,2,5,4,3,6,7] => 9 [1,2,5,4,3,7,6] => 10 [1,2,5,4,6,3,7] => 9 [1,2,5,4,6,7,3] => 9 [1,2,5,4,7,3,6] => 10 [1,2,5,4,7,6,3] => 10 [1,2,5,6,3,4,7] => 9 [1,2,5,6,3,7,4] => 9 [1,2,5,6,4,3,7] => 9 [1,2,5,6,4,7,3] => 9 [1,2,5,6,7,3,4] => 9 [1,2,5,6,7,4,3] => 9 [1,2,5,7,3,4,6] => 10 [1,2,5,7,3,6,4] => 11 [1,2,5,7,4,3,6] => 10 [1,2,5,7,4,6,3] => 11 [1,2,5,7,6,3,4] => 10 [1,2,5,7,6,4,3] => 10 [1,2,6,3,4,5,7] => 9 [1,2,6,3,4,7,5] => 10 [1,2,6,3,5,4,7] => 10 [1,2,6,3,5,7,4] => 10 [1,2,6,3,7,4,5] => 10 [1,2,6,3,7,5,4] => 10 [1,2,6,4,3,5,7] => 9 [1,2,6,4,3,7,5] => 10 [1,2,6,4,5,3,7] => 10 [1,2,6,4,5,7,3] => 10 [1,2,6,4,7,3,5] => 10 [1,2,6,4,7,5,3] => 10 [1,2,6,5,3,4,7] => 9 [1,2,6,5,3,7,4] => 10 [1,2,6,5,4,3,7] => 9 [1,2,6,5,4,7,3] => 10 [1,2,6,5,7,3,4] => 10 [1,2,6,5,7,4,3] => 10 [1,2,6,7,3,4,5] => 10 [1,2,6,7,3,5,4] => 11 [1,2,6,7,4,3,5] => 10 [1,2,6,7,4,5,3] => 11 [1,2,6,7,5,3,4] => 10 [1,2,6,7,5,4,3] => 10 [1,2,7,3,4,5,6] => 9 [1,2,7,3,4,6,5] => 10 [1,2,7,3,5,4,6] => 10 [1,2,7,3,5,6,4] => 10 [1,2,7,3,6,4,5] => 10 [1,2,7,3,6,5,4] => 10 [1,2,7,4,3,5,6] => 9 [1,2,7,4,3,6,5] => 10 [1,2,7,4,5,3,6] => 10 [1,2,7,4,5,6,3] => 10 [1,2,7,4,6,3,5] => 10 [1,2,7,4,6,5,3] => 10 [1,2,7,5,3,4,6] => 9 [1,2,7,5,3,6,4] => 10 [1,2,7,5,4,3,6] => 9 [1,2,7,5,4,6,3] => 10 [1,2,7,5,6,3,4] => 10 [1,2,7,5,6,4,3] => 10 [1,2,7,6,3,4,5] => 9 [1,2,7,6,3,5,4] => 10 [1,2,7,6,4,3,5] => 9 [1,2,7,6,4,5,3] => 10 [1,2,7,6,5,3,4] => 9 [1,2,7,6,5,4,3] => 9 [1,3,2,4,5,6,7] => 8 [1,3,2,4,5,7,6] => 9 [1,3,2,4,6,5,7] => 9 [1,3,2,4,6,7,5] => 9 [1,3,2,4,7,5,6] => 10 [1,3,2,4,7,6,5] => 10 [1,3,2,5,4,6,7] => 9 [1,3,2,5,4,7,6] => 10 [1,3,2,5,6,4,7] => 9 [1,3,2,5,6,7,4] => 9 [1,3,2,5,7,4,6] => 10 [1,3,2,5,7,6,4] => 10 [1,3,2,6,4,5,7] => 10 [1,3,2,6,4,7,5] => 10 [1,3,2,6,5,4,7] => 10 [1,3,2,6,5,7,4] => 10 [1,3,2,6,7,4,5] => 10 [1,3,2,6,7,5,4] => 10 [1,3,2,7,4,5,6] => 11 [1,3,2,7,4,6,5] => 12 [1,3,2,7,5,4,6] => 11 [1,3,2,7,5,6,4] => 12 [1,3,2,7,6,4,5] => 11 [1,3,2,7,6,5,4] => 11 [1,3,4,2,5,6,7] => 8 [1,3,4,2,5,7,6] => 9 [1,3,4,2,6,5,7] => 9 [1,3,4,2,6,7,5] => 9 [1,3,4,2,7,5,6] => 10 [1,3,4,2,7,6,5] => 10 [1,3,4,5,2,6,7] => 8 [1,3,4,5,2,7,6] => 9 [1,3,4,5,6,2,7] => 8 [1,3,4,5,6,7,2] => 8 [1,3,4,5,7,2,6] => 9 [1,3,4,5,7,6,2] => 9 [1,3,4,6,2,5,7] => 9 [1,3,4,6,2,7,5] => 9 [1,3,4,6,5,2,7] => 9 [1,3,4,6,5,7,2] => 9 [1,3,4,6,7,2,5] => 9 [1,3,4,6,7,5,2] => 9 [1,3,4,7,2,5,6] => 10 [1,3,4,7,2,6,5] => 11 [1,3,4,7,5,2,6] => 10 [1,3,4,7,5,6,2] => 11 [1,3,4,7,6,2,5] => 10 [1,3,4,7,6,5,2] => 10 [1,3,5,2,4,6,7] => 9 [1,3,5,2,4,7,6] => 10 [1,3,5,2,6,4,7] => 9 [1,3,5,2,6,7,4] => 9 [1,3,5,2,7,4,6] => 10 [1,3,5,2,7,6,4] => 10 [1,3,5,4,2,6,7] => 9 [1,3,5,4,2,7,6] => 10 [1,3,5,4,6,2,7] => 9 [1,3,5,4,6,7,2] => 9 [1,3,5,4,7,2,6] => 10 [1,3,5,4,7,6,2] => 10 [1,3,5,6,2,4,7] => 9 [1,3,5,6,2,7,4] => 9 [1,3,5,6,4,2,7] => 9 [1,3,5,6,4,7,2] => 9 [1,3,5,6,7,2,4] => 9 [1,3,5,6,7,4,2] => 9 [1,3,5,7,2,4,6] => 10 [1,3,5,7,2,6,4] => 11 [1,3,5,7,4,2,6] => 10 [1,3,5,7,4,6,2] => 11 [1,3,5,7,6,2,4] => 10 [1,3,5,7,6,4,2] => 10 [1,3,6,2,4,5,7] => 9 [1,3,6,2,4,7,5] => 10 [1,3,6,2,5,4,7] => 10 [1,3,6,2,5,7,4] => 10 [1,3,6,2,7,4,5] => 10 [1,3,6,2,7,5,4] => 10 [1,3,6,4,2,5,7] => 9 [1,3,6,4,2,7,5] => 10 [1,3,6,4,5,2,7] => 10 [1,3,6,4,5,7,2] => 10 [1,3,6,4,7,2,5] => 10 [1,3,6,4,7,5,2] => 10 [1,3,6,5,2,4,7] => 9 [1,3,6,5,2,7,4] => 10 [1,3,6,5,4,2,7] => 9 [1,3,6,5,4,7,2] => 10 [1,3,6,5,7,2,4] => 10 [1,3,6,5,7,4,2] => 10 [1,3,6,7,2,4,5] => 10 [1,3,6,7,2,5,4] => 11 [1,3,6,7,4,2,5] => 10 [1,3,6,7,4,5,2] => 11 [1,3,6,7,5,2,4] => 10 [1,3,6,7,5,4,2] => 10 [1,3,7,2,4,5,6] => 9 [1,3,7,2,4,6,5] => 10 [1,3,7,2,5,4,6] => 10 [1,3,7,2,5,6,4] => 10 [1,3,7,2,6,4,5] => 10 [1,3,7,2,6,5,4] => 10 [1,3,7,4,2,5,6] => 9 [1,3,7,4,2,6,5] => 10 [1,3,7,4,5,2,6] => 10 [1,3,7,4,5,6,2] => 10 [1,3,7,4,6,2,5] => 10 [1,3,7,4,6,5,2] => 10 [1,3,7,5,2,4,6] => 9 [1,3,7,5,2,6,4] => 10 [1,3,7,5,4,2,6] => 9 [1,3,7,5,4,6,2] => 10 [1,3,7,5,6,2,4] => 10 [1,3,7,5,6,4,2] => 10 [1,3,7,6,2,4,5] => 9 [1,3,7,6,2,5,4] => 10 [1,3,7,6,4,2,5] => 9 [1,3,7,6,4,5,2] => 10 [1,3,7,6,5,2,4] => 9 [1,3,7,6,5,4,2] => 9 [1,4,2,3,5,6,7] => 8 [1,4,2,3,5,7,6] => 9 [1,4,2,3,6,5,7] => 9 [1,4,2,3,6,7,5] => 9 [1,4,2,3,7,5,6] => 10 [1,4,2,3,7,6,5] => 10 [1,4,2,5,3,6,7] => 9 [1,4,2,5,3,7,6] => 10 [1,4,2,5,6,3,7] => 9 [1,4,2,5,6,7,3] => 9 [1,4,2,5,7,3,6] => 10 [1,4,2,5,7,6,3] => 10 [1,4,2,6,3,5,7] => 10 [1,4,2,6,3,7,5] => 10 [1,4,2,6,5,3,7] => 10 [1,4,2,6,5,7,3] => 10 [1,4,2,6,7,3,5] => 10 [1,4,2,6,7,5,3] => 10 [1,4,2,7,3,5,6] => 11 [1,4,2,7,3,6,5] => 12 [1,4,2,7,5,3,6] => 11 [1,4,2,7,5,6,3] => 12 [1,4,2,7,6,3,5] => 11 [1,4,2,7,6,5,3] => 11 [1,4,3,2,5,6,7] => 8 [1,4,3,2,5,7,6] => 9 [1,4,3,2,6,5,7] => 9 [1,4,3,2,6,7,5] => 9 [1,4,3,2,7,5,6] => 10 [1,4,3,2,7,6,5] => 10 [1,4,3,5,2,6,7] => 9 [1,4,3,5,2,7,6] => 10 [1,4,3,5,6,2,7] => 9 [1,4,3,5,6,7,2] => 9 [1,4,3,5,7,2,6] => 10 [1,4,3,5,7,6,2] => 10 [1,4,3,6,2,5,7] => 10 [1,4,3,6,2,7,5] => 10 [1,4,3,6,5,2,7] => 10 [1,4,3,6,5,7,2] => 10 [1,4,3,6,7,2,5] => 10 [1,4,3,6,7,5,2] => 10 [1,4,3,7,2,5,6] => 11 [1,4,3,7,2,6,5] => 12 [1,4,3,7,5,2,6] => 11 [1,4,3,7,5,6,2] => 12 [1,4,3,7,6,2,5] => 11 [1,4,3,7,6,5,2] => 11 [1,4,5,2,3,6,7] => 9 [1,4,5,2,3,7,6] => 10 [1,4,5,2,6,3,7] => 9 [1,4,5,2,6,7,3] => 9 [1,4,5,2,7,3,6] => 10 [1,4,5,2,7,6,3] => 10 [1,4,5,3,2,6,7] => 9 [1,4,5,3,2,7,6] => 10 [1,4,5,3,6,2,7] => 9 [1,4,5,3,6,7,2] => 9 [1,4,5,3,7,2,6] => 10 [1,4,5,3,7,6,2] => 10 [1,4,5,6,2,3,7] => 9 [1,4,5,6,2,7,3] => 9 [1,4,5,6,3,2,7] => 9 [1,4,5,6,3,7,2] => 9 [1,4,5,6,7,2,3] => 9 [1,4,5,6,7,3,2] => 9 [1,4,5,7,2,3,6] => 10 [1,4,5,7,2,6,3] => 11 [1,4,5,7,3,2,6] => 10 [1,4,5,7,3,6,2] => 11 [1,4,5,7,6,2,3] => 10 [1,4,5,7,6,3,2] => 10 [1,4,6,2,3,5,7] => 9 [1,4,6,2,3,7,5] => 10 [1,4,6,2,5,3,7] => 10 [1,4,6,2,5,7,3] => 10 [1,4,6,2,7,3,5] => 10 [1,4,6,2,7,5,3] => 10 [1,4,6,3,2,5,7] => 9 [1,4,6,3,2,7,5] => 10 [1,4,6,3,5,2,7] => 10 [1,4,6,3,5,7,2] => 10 [1,4,6,3,7,2,5] => 10 [1,4,6,3,7,5,2] => 10 [1,4,6,5,2,3,7] => 9 [1,4,6,5,2,7,3] => 10 [1,4,6,5,3,2,7] => 9 [1,4,6,5,3,7,2] => 10 ----------------------------------------------------------------------------- Created: Oct 15, 2016 at 21:57 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Oct 15, 2016 at 21:57 by Martin Rubey