************************************************************************ * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2013 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. * ************************************************************************ ------------------------------------------------------------------------ Map identifier: Mp00071 ------------------------------------------------------------------------ Map name: descent composition ------------------------------------------------------------------------ Domain: Permutations ------------------------------------------------------------------------ Codomain: Integer compositions ------------------------------------------------------------------------ Description: The descent composition of a permutation. The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(elt): return elt.descents_composition() ------------------------------------------------------------------------ Map images: [1] => [1] [1,2] => [2] [2,1] => [1,1] [1,2,3] => [3] [1,3,2] => [2,1] [2,1,3] => [1,2] [2,3,1] => [2,1] [3,1,2] => [1,2] [3,2,1] => [1,1,1] [1,2,3,4] => [4] [1,2,4,3] => [3,1] [1,3,2,4] => [2,2] [1,3,4,2] => [3,1] [1,4,2,3] => [2,2] [1,4,3,2] => [2,1,1] [2,1,3,4] => [1,3] [2,1,4,3] => [1,2,1] [2,3,1,4] => [2,2] [2,3,4,1] => [3,1] [2,4,1,3] => [2,2] [2,4,3,1] => [2,1,1] [3,1,2,4] => [1,3] [3,1,4,2] => [1,2,1] [3,2,1,4] => [1,1,2] [3,2,4,1] => [1,2,1] [3,4,1,2] => [2,2] [3,4,2,1] => [2,1,1] [4,1,2,3] => [1,3] [4,1,3,2] => [1,2,1] [4,2,1,3] => [1,1,2] [4,2,3,1] => [1,2,1] [4,3,1,2] => [1,1,2] [4,3,2,1] => [1,1,1,1] [1,2,3,4,5] => [5] [1,2,3,5,4] => [4,1] [1,2,4,3,5] => [3,2] [1,2,4,5,3] => [4,1] [1,2,5,3,4] => [3,2] [1,2,5,4,3] => [3,1,1] [1,3,2,4,5] => [2,3] [1,3,2,5,4] => [2,2,1] [1,3,4,2,5] => [3,2] [1,3,4,5,2] => [4,1] [1,3,5,2,4] => [3,2] [1,3,5,4,2] => [3,1,1] [1,4,2,3,5] => [2,3] [1,4,2,5,3] => [2,2,1] [1,4,3,2,5] => [2,1,2] [1,4,3,5,2] => [2,2,1] [1,4,5,2,3] => [3,2] [1,4,5,3,2] => [3,1,1] [1,5,2,3,4] => [2,3] [1,5,2,4,3] => [2,2,1] [1,5,3,2,4] => [2,1,2] [1,5,3,4,2] => [2,2,1] [1,5,4,2,3] => [2,1,2] [1,5,4,3,2] => [2,1,1,1] [2,1,3,4,5] => [1,4] [2,1,3,5,4] => [1,3,1] [2,1,4,3,5] => [1,2,2] [2,1,4,5,3] => [1,3,1] [2,1,5,3,4] => [1,2,2] [2,1,5,4,3] => [1,2,1,1] [2,3,1,4,5] => [2,3] [2,3,1,5,4] => [2,2,1] [2,3,4,1,5] => [3,2] [2,3,4,5,1] => [4,1] [2,3,5,1,4] => [3,2] [2,3,5,4,1] => [3,1,1] [2,4,1,3,5] => [2,3] [2,4,1,5,3] => [2,2,1] [2,4,3,1,5] => [2,1,2] [2,4,3,5,1] => [2,2,1] [2,4,5,1,3] => [3,2] [2,4,5,3,1] => [3,1,1] [2,5,1,3,4] => [2,3] [2,5,1,4,3] => [2,2,1] [2,5,3,1,4] => [2,1,2] [2,5,3,4,1] => [2,2,1] [2,5,4,1,3] => [2,1,2] [2,5,4,3,1] => [2,1,1,1] [3,1,2,4,5] => [1,4] [3,1,2,5,4] => [1,3,1] [3,1,4,2,5] => [1,2,2] [3,1,4,5,2] => [1,3,1] [3,1,5,2,4] => [1,2,2] [3,1,5,4,2] => [1,2,1,1] [3,2,1,4,5] => [1,1,3] [3,2,1,5,4] => [1,1,2,1] [3,2,4,1,5] => [1,2,2] [3,2,4,5,1] => [1,3,1] [3,2,5,1,4] => [1,2,2] [3,2,5,4,1] => [1,2,1,1] [3,4,1,2,5] => [2,3] [3,4,1,5,2] => [2,2,1] [3,4,2,1,5] => [2,1,2] [3,4,2,5,1] => [2,2,1] [3,4,5,1,2] => [3,2] [3,4,5,2,1] => [3,1,1] [3,5,1,2,4] => [2,3] [3,5,1,4,2] => [2,2,1] [3,5,2,1,4] => [2,1,2] [3,5,2,4,1] => [2,2,1] [3,5,4,1,2] => [2,1,2] [3,5,4,2,1] => [2,1,1,1] [4,1,2,3,5] => [1,4] [4,1,2,5,3] => [1,3,1] [4,1,3,2,5] => [1,2,2] [4,1,3,5,2] => [1,3,1] [4,1,5,2,3] => [1,2,2] [4,1,5,3,2] => [1,2,1,1] [4,2,1,3,5] => [1,1,3] [4,2,1,5,3] => [1,1,2,1] [4,2,3,1,5] => [1,2,2] [4,2,3,5,1] => [1,3,1] [4,2,5,1,3] => [1,2,2] [4,2,5,3,1] => [1,2,1,1] [4,3,1,2,5] => [1,1,3] [4,3,1,5,2] => [1,1,2,1] [4,3,2,1,5] => [1,1,1,2] [4,3,2,5,1] => [1,1,2,1] [4,3,5,1,2] => [1,2,2] [4,3,5,2,1] => [1,2,1,1] [4,5,1,2,3] => [2,3] [4,5,1,3,2] => [2,2,1] [4,5,2,1,3] => [2,1,2] [4,5,2,3,1] => [2,2,1] [4,5,3,1,2] => [2,1,2] [4,5,3,2,1] => [2,1,1,1] [5,1,2,3,4] => [1,4] [5,1,2,4,3] => [1,3,1] [5,1,3,2,4] => [1,2,2] [5,1,3,4,2] => [1,3,1] [5,1,4,2,3] => [1,2,2] [5,1,4,3,2] => [1,2,1,1] [5,2,1,3,4] => [1,1,3] [5,2,1,4,3] => [1,1,2,1] [5,2,3,1,4] => [1,2,2] [5,2,3,4,1] => [1,3,1] [5,2,4,1,3] => [1,2,2] [5,2,4,3,1] => [1,2,1,1] [5,3,1,2,4] => [1,1,3] [5,3,1,4,2] => [1,1,2,1] [5,3,2,1,4] => [1,1,1,2] [5,3,2,4,1] => [1,1,2,1] [5,3,4,1,2] => [1,2,2] [5,3,4,2,1] => [1,2,1,1] [5,4,1,2,3] => [1,1,3] [5,4,1,3,2] => [1,1,2,1] [5,4,2,1,3] => [1,1,1,2] [5,4,2,3,1] => [1,1,2,1] [5,4,3,1,2] => [1,1,1,2] [5,4,3,2,1] => [1,1,1,1,1] [1,2,3,4,5,6] => [6] [1,2,3,4,6,5] => [5,1] [1,2,3,5,4,6] => [4,2] [1,2,3,5,6,4] => [5,1] [1,2,3,6,4,5] => [4,2] [1,2,3,6,5,4] => [4,1,1] [1,2,4,3,5,6] => [3,3] [1,2,4,3,6,5] => [3,2,1] [1,2,4,5,3,6] => [4,2] [1,2,4,5,6,3] => [5,1] [1,2,4,6,3,5] => [4,2] [1,2,4,6,5,3] => [4,1,1] [1,2,5,3,4,6] => [3,3] [1,2,5,3,6,4] => [3,2,1] [1,2,5,4,3,6] => [3,1,2] [1,2,5,4,6,3] => [3,2,1] [1,2,5,6,3,4] => [4,2] [1,2,5,6,4,3] => [4,1,1] [1,2,6,3,4,5] => [3,3] [1,2,6,3,5,4] => [3,2,1] [1,2,6,4,3,5] => [3,1,2] [1,2,6,4,5,3] => [3,2,1] [1,2,6,5,3,4] => [3,1,2] [1,2,6,5,4,3] => [3,1,1,1] [1,3,2,4,5,6] => [2,4] [1,3,2,4,6,5] => [2,3,1] [1,3,2,5,4,6] => [2,2,2] [1,3,2,5,6,4] => [2,3,1] [1,3,2,6,4,5] => [2,2,2] [1,3,2,6,5,4] => [2,2,1,1] [1,3,4,2,5,6] => [3,3] [1,3,4,2,6,5] => [3,2,1] [1,3,4,5,2,6] => [4,2] [1,3,4,5,6,2] => [5,1] [1,3,4,6,2,5] => [4,2] [1,3,4,6,5,2] => [4,1,1] [1,3,5,2,4,6] => [3,3] [1,3,5,2,6,4] => [3,2,1] [1,3,5,4,2,6] => [3,1,2] [1,3,5,4,6,2] => [3,2,1] [1,3,5,6,2,4] => [4,2] [1,3,5,6,4,2] => [4,1,1] [1,3,6,2,4,5] => [3,3] [1,3,6,2,5,4] => [3,2,1] [1,3,6,4,2,5] => [3,1,2] [1,3,6,4,5,2] => [3,2,1] [1,3,6,5,2,4] => [3,1,2] [1,3,6,5,4,2] => [3,1,1,1] [1,4,2,3,5,6] => [2,4] [1,4,2,3,6,5] => [2,3,1] [1,4,2,5,3,6] => [2,2,2] [1,4,2,5,6,3] => [2,3,1] [1,4,2,6,3,5] => [2,2,2] [1,4,2,6,5,3] => [2,2,1,1] [1,4,3,2,5,6] => [2,1,3] [1,4,3,2,6,5] => [2,1,2,1] [1,4,3,5,2,6] => [2,2,2] [1,4,3,5,6,2] => [2,3,1] [1,4,3,6,2,5] => [2,2,2] [1,4,3,6,5,2] => [2,2,1,1] [1,4,5,2,3,6] => [3,3] [1,4,5,2,6,3] => [3,2,1] [1,4,5,3,2,6] => [3,1,2] [1,4,5,3,6,2] => [3,2,1] [1,4,5,6,2,3] => [4,2] [1,4,5,6,3,2] => [4,1,1] [1,4,6,2,3,5] => [3,3] [1,4,6,2,5,3] => [3,2,1] [1,4,6,3,2,5] => [3,1,2] [1,4,6,3,5,2] => [3,2,1] [1,4,6,5,2,3] => [3,1,2] [1,4,6,5,3,2] => [3,1,1,1] [1,5,2,3,4,6] => [2,4] [1,5,2,3,6,4] => [2,3,1] [1,5,2,4,3,6] => [2,2,2] [1,5,2,4,6,3] => [2,3,1] [1,5,2,6,3,4] => [2,2,2] [1,5,2,6,4,3] => [2,2,1,1] [1,5,3,2,4,6] => [2,1,3] [1,5,3,2,6,4] => [2,1,2,1] [1,5,3,4,2,6] => [2,2,2] [1,5,3,4,6,2] => [2,3,1] [1,5,3,6,2,4] => [2,2,2] [1,5,3,6,4,2] => [2,2,1,1] [1,5,4,2,3,6] => [2,1,3] [1,5,4,2,6,3] => [2,1,2,1] [1,5,4,3,2,6] => [2,1,1,2] [1,5,4,3,6,2] => [2,1,2,1] [1,5,4,6,2,3] => [2,2,2] [1,5,4,6,3,2] => [2,2,1,1] [1,5,6,2,3,4] => [3,3] [1,5,6,2,4,3] => [3,2,1] [1,5,6,3,2,4] => [3,1,2] [1,5,6,3,4,2] => [3,2,1] [1,5,6,4,2,3] => [3,1,2] [1,5,6,4,3,2] => [3,1,1,1] [1,6,2,3,4,5] => [2,4] [1,6,2,3,5,4] => [2,3,1] [1,6,2,4,3,5] => [2,2,2] [1,6,2,4,5,3] => [2,3,1] [1,6,2,5,3,4] => [2,2,2] [1,6,2,5,4,3] => [2,2,1,1] [1,6,3,2,4,5] => [2,1,3] [1,6,3,2,5,4] => [2,1,2,1] [1,6,3,4,2,5] => [2,2,2] [1,6,3,4,5,2] => [2,3,1] [1,6,3,5,2,4] => [2,2,2] [1,6,3,5,4,2] => [2,2,1,1] [1,6,4,2,3,5] => [2,1,3] [1,6,4,2,5,3] => [2,1,2,1] [1,6,4,3,2,5] => [2,1,1,2] [1,6,4,3,5,2] => [2,1,2,1] [1,6,4,5,2,3] => [2,2,2] [1,6,4,5,3,2] => [2,2,1,1] [1,6,5,2,3,4] => [2,1,3] [1,6,5,2,4,3] => [2,1,2,1] [1,6,5,3,2,4] => [2,1,1,2] [1,6,5,3,4,2] => [2,1,2,1] [1,6,5,4,2,3] => [2,1,1,2] [1,6,5,4,3,2] => [2,1,1,1,1] [2,1,3,4,5,6] => [1,5] [2,1,3,4,6,5] => [1,4,1] [2,1,3,5,4,6] => [1,3,2] [2,1,3,5,6,4] => [1,4,1] [2,1,3,6,4,5] => [1,3,2] [2,1,3,6,5,4] => [1,3,1,1] [2,1,4,3,5,6] => [1,2,3] [2,1,4,3,6,5] => [1,2,2,1] [2,1,4,5,3,6] => [1,3,2] [2,1,4,5,6,3] => [1,4,1] [2,1,4,6,3,5] => [1,3,2] [2,1,4,6,5,3] => [1,3,1,1] [2,1,5,3,4,6] => [1,2,3] [2,1,5,3,6,4] => [1,2,2,1] [2,1,5,4,3,6] => [1,2,1,2] [2,1,5,4,6,3] => [1,2,2,1] [2,1,5,6,3,4] => [1,3,2] [2,1,5,6,4,3] => [1,3,1,1] [2,1,6,3,4,5] => [1,2,3] [2,1,6,3,5,4] => [1,2,2,1] [2,1,6,4,3,5] => [1,2,1,2] [2,1,6,4,5,3] => [1,2,2,1] [2,1,6,5,3,4] => [1,2,1,2] [2,1,6,5,4,3] => [1,2,1,1,1] [2,3,1,4,5,6] => [2,4] [2,3,1,4,6,5] => [2,3,1] [2,3,1,5,4,6] => [2,2,2] [2,3,1,5,6,4] => [2,3,1] [2,3,1,6,4,5] => [2,2,2] [2,3,1,6,5,4] => [2,2,1,1] [2,3,4,1,5,6] => [3,3] [2,3,4,1,6,5] => [3,2,1] [2,3,4,5,1,6] => [4,2] [2,3,4,5,6,1] => [5,1] [2,3,4,6,1,5] => [4,2] [2,3,4,6,5,1] => [4,1,1] [2,3,5,1,4,6] => [3,3] [2,3,5,1,6,4] => [3,2,1] [2,3,5,4,1,6] => [3,1,2] [2,3,5,4,6,1] => [3,2,1] [2,3,5,6,1,4] => [4,2] [2,3,5,6,4,1] => [4,1,1] [2,3,6,1,4,5] => [3,3] [2,3,6,1,5,4] => [3,2,1] [2,3,6,4,1,5] => [3,1,2] [2,3,6,4,5,1] => [3,2,1] [2,3,6,5,1,4] => [3,1,2] [2,3,6,5,4,1] => [3,1,1,1] [2,4,1,3,5,6] => [2,4] [2,4,1,3,6,5] => [2,3,1] [2,4,1,5,3,6] => [2,2,2] [2,4,1,5,6,3] => [2,3,1] [2,4,1,6,3,5] => [2,2,2] [2,4,1,6,5,3] => [2,2,1,1] [2,4,3,1,5,6] => [2,1,3] [2,4,3,1,6,5] => [2,1,2,1] [2,4,3,5,1,6] => [2,2,2] [2,4,3,5,6,1] => [2,3,1] [2,4,3,6,1,5] => [2,2,2] [2,4,3,6,5,1] => [2,2,1,1] [2,4,5,1,3,6] => [3,3] [2,4,5,1,6,3] => [3,2,1] [2,4,5,3,1,6] => [3,1,2] [2,4,5,3,6,1] => [3,2,1] [2,4,5,6,1,3] => [4,2] [2,4,5,6,3,1] => [4,1,1] [2,4,6,1,3,5] => [3,3] [2,4,6,1,5,3] => [3,2,1] [2,4,6,3,1,5] => [3,1,2] [2,4,6,3,5,1] => [3,2,1] [2,4,6,5,1,3] => [3,1,2] [2,4,6,5,3,1] => [3,1,1,1] [2,5,1,3,4,6] => [2,4] [2,5,1,3,6,4] => [2,3,1] [2,5,1,4,3,6] => [2,2,2] [2,5,1,4,6,3] => [2,3,1] [2,5,1,6,3,4] => [2,2,2] [2,5,1,6,4,3] => [2,2,1,1] [2,5,3,1,4,6] => [2,1,3] [2,5,3,1,6,4] => [2,1,2,1] [2,5,3,4,1,6] => [2,2,2] [2,5,3,4,6,1] => [2,3,1] [2,5,3,6,1,4] => [2,2,2] [2,5,3,6,4,1] => [2,2,1,1] [2,5,4,1,3,6] => [2,1,3] [2,5,4,1,6,3] => [2,1,2,1] [2,5,4,3,1,6] => [2,1,1,2] [2,5,4,3,6,1] => [2,1,2,1] [2,5,4,6,1,3] => [2,2,2] [2,5,4,6,3,1] => [2,2,1,1] [2,5,6,1,3,4] => [3,3] [2,5,6,1,4,3] => [3,2,1] [2,5,6,3,1,4] => [3,1,2] [2,5,6,3,4,1] => [3,2,1] [2,5,6,4,1,3] => [3,1,2] [2,5,6,4,3,1] => [3,1,1,1] [2,6,1,3,4,5] => [2,4] [2,6,1,3,5,4] => [2,3,1] [2,6,1,4,3,5] => [2,2,2] [2,6,1,4,5,3] => [2,3,1] [2,6,1,5,3,4] => [2,2,2] [2,6,1,5,4,3] => [2,2,1,1] [2,6,3,1,4,5] => [2,1,3] [2,6,3,1,5,4] => [2,1,2,1] [2,6,3,4,1,5] => [2,2,2] [2,6,3,4,5,1] => [2,3,1] [2,6,3,5,1,4] => [2,2,2] [2,6,3,5,4,1] => [2,2,1,1] [2,6,4,1,3,5] => [2,1,3] [2,6,4,1,5,3] => [2,1,2,1] [2,6,4,3,1,5] => [2,1,1,2] [2,6,4,3,5,1] => [2,1,2,1] [2,6,4,5,1,3] => [2,2,2] [2,6,4,5,3,1] => [2,2,1,1] [2,6,5,1,3,4] => [2,1,3] [2,6,5,1,4,3] => [2,1,2,1] [2,6,5,3,1,4] => [2,1,1,2] [2,6,5,3,4,1] => [2,1,2,1] [2,6,5,4,1,3] => [2,1,1,2] [2,6,5,4,3,1] => [2,1,1,1,1] [3,1,2,4,5,6] => [1,5] [3,1,2,4,6,5] => [1,4,1] [3,1,2,5,4,6] => [1,3,2] [3,1,2,5,6,4] => [1,4,1] [3,1,2,6,4,5] => [1,3,2] [3,1,2,6,5,4] => [1,3,1,1] [3,1,4,2,5,6] => [1,2,3] [3,1,4,2,6,5] => [1,2,2,1] [3,1,4,5,2,6] => [1,3,2] [3,1,4,5,6,2] => [1,4,1] [3,1,4,6,2,5] => [1,3,2] [3,1,4,6,5,2] => [1,3,1,1] [3,1,5,2,4,6] => [1,2,3] [3,1,5,2,6,4] => [1,2,2,1] [3,1,5,4,2,6] => [1,2,1,2] [3,1,5,4,6,2] => [1,2,2,1] [3,1,5,6,2,4] => [1,3,2] [3,1,5,6,4,2] => [1,3,1,1] [3,1,6,2,4,5] => [1,2,3] [3,1,6,2,5,4] => [1,2,2,1] [3,1,6,4,2,5] => [1,2,1,2] [3,1,6,4,5,2] => [1,2,2,1] [3,1,6,5,2,4] => [1,2,1,2] [3,1,6,5,4,2] => [1,2,1,1,1] [3,2,1,4,5,6] => [1,1,4] [3,2,1,4,6,5] => [1,1,3,1] [3,2,1,5,4,6] => [1,1,2,2] [3,2,1,5,6,4] => [1,1,3,1] [3,2,1,6,4,5] => [1,1,2,2] [3,2,1,6,5,4] => [1,1,2,1,1] [3,2,4,1,5,6] => [1,2,3] [3,2,4,1,6,5] => [1,2,2,1] [3,2,4,5,1,6] => [1,3,2] [3,2,4,5,6,1] => [1,4,1] [3,2,4,6,1,5] => [1,3,2] [3,2,4,6,5,1] => [1,3,1,1] [3,2,5,1,4,6] => [1,2,3] [3,2,5,1,6,4] => [1,2,2,1] [3,2,5,4,1,6] => [1,2,1,2] [3,2,5,4,6,1] => [1,2,2,1] [3,2,5,6,1,4] => [1,3,2] [3,2,5,6,4,1] => [1,3,1,1] [3,2,6,1,4,5] => [1,2,3] [3,2,6,1,5,4] => [1,2,2,1] [3,2,6,4,1,5] => [1,2,1,2] [3,2,6,4,5,1] => [1,2,2,1] [3,2,6,5,1,4] => [1,2,1,2] [3,2,6,5,4,1] => [1,2,1,1,1] [3,4,1,2,5,6] => [2,4] [3,4,1,2,6,5] => [2,3,1] [3,4,1,5,2,6] => [2,2,2] [3,4,1,5,6,2] => [2,3,1] [3,4,1,6,2,5] => [2,2,2] [3,4,1,6,5,2] => [2,2,1,1] [3,4,2,1,5,6] => [2,1,3] [3,4,2,1,6,5] => [2,1,2,1] [3,4,2,5,1,6] => [2,2,2] [3,4,2,5,6,1] => [2,3,1] [3,4,2,6,1,5] => [2,2,2] [3,4,2,6,5,1] => [2,2,1,1] [3,4,5,1,2,6] => [3,3] [3,4,5,1,6,2] => [3,2,1] [3,4,5,2,1,6] => [3,1,2] [3,4,5,2,6,1] => [3,2,1] [3,4,5,6,1,2] => [4,2] [3,4,5,6,2,1] => [4,1,1] [3,4,6,1,2,5] => [3,3] [3,4,6,1,5,2] => [3,2,1] [3,4,6,2,1,5] => [3,1,2] [3,4,6,2,5,1] => [3,2,1] [3,4,6,5,1,2] => [3,1,2] [3,4,6,5,2,1] => [3,1,1,1] [3,5,1,2,4,6] => [2,4] [3,5,1,2,6,4] => [2,3,1] [3,5,1,4,2,6] => [2,2,2] [3,5,1,4,6,2] => [2,3,1] [3,5,1,6,2,4] => [2,2,2] [3,5,1,6,4,2] => [2,2,1,1] [3,5,2,1,4,6] => [2,1,3] [3,5,2,1,6,4] => [2,1,2,1] [3,5,2,4,1,6] => [2,2,2] [3,5,2,4,6,1] => [2,3,1] [3,5,2,6,1,4] => [2,2,2] [3,5,2,6,4,1] => [2,2,1,1] [3,5,4,1,2,6] => [2,1,3] [3,5,4,1,6,2] => [2,1,2,1] [3,5,4,2,1,6] => [2,1,1,2] [3,5,4,2,6,1] => [2,1,2,1] [3,5,4,6,1,2] => [2,2,2] [3,5,4,6,2,1] => [2,2,1,1] [3,5,6,1,2,4] => [3,3] [3,5,6,1,4,2] => [3,2,1] [3,5,6,2,1,4] => [3,1,2] [3,5,6,2,4,1] => [3,2,1] [3,5,6,4,1,2] => [3,1,2] [3,5,6,4,2,1] => [3,1,1,1] [3,6,1,2,4,5] => [2,4] [3,6,1,2,5,4] => [2,3,1] [3,6,1,4,2,5] => [2,2,2] [3,6,1,4,5,2] => [2,3,1] [3,6,1,5,2,4] => [2,2,2] [3,6,1,5,4,2] => [2,2,1,1] [3,6,2,1,4,5] => [2,1,3] [3,6,2,1,5,4] => [2,1,2,1] [3,6,2,4,1,5] => [2,2,2] [3,6,2,4,5,1] => [2,3,1] [3,6,2,5,1,4] => [2,2,2] [3,6,2,5,4,1] => [2,2,1,1] [3,6,4,1,2,5] => [2,1,3] [3,6,4,1,5,2] => [2,1,2,1] [3,6,4,2,1,5] => [2,1,1,2] [3,6,4,2,5,1] => [2,1,2,1] [3,6,4,5,1,2] => [2,2,2] [3,6,4,5,2,1] => [2,2,1,1] [3,6,5,1,2,4] => [2,1,3] [3,6,5,1,4,2] => [2,1,2,1] [3,6,5,2,1,4] => [2,1,1,2] [3,6,5,2,4,1] => [2,1,2,1] [3,6,5,4,1,2] => [2,1,1,2] [3,6,5,4,2,1] => [2,1,1,1,1] [4,1,2,3,5,6] => [1,5] [4,1,2,3,6,5] => [1,4,1] [4,1,2,5,3,6] => [1,3,2] [4,1,2,5,6,3] => [1,4,1] [4,1,2,6,3,5] => [1,3,2] [4,1,2,6,5,3] => [1,3,1,1] [4,1,3,2,5,6] => [1,2,3] [4,1,3,2,6,5] => [1,2,2,1] [4,1,3,5,2,6] => [1,3,2] [4,1,3,5,6,2] => [1,4,1] [4,1,3,6,2,5] => [1,3,2] [4,1,3,6,5,2] => [1,3,1,1] [4,1,5,2,3,6] => [1,2,3] [4,1,5,2,6,3] => [1,2,2,1] [4,1,5,3,2,6] => [1,2,1,2] [4,1,5,3,6,2] => [1,2,2,1] [4,1,5,6,2,3] => [1,3,2] [4,1,5,6,3,2] => [1,3,1,1] [4,1,6,2,3,5] => [1,2,3] [4,1,6,2,5,3] => [1,2,2,1] [4,1,6,3,2,5] => [1,2,1,2] [4,1,6,3,5,2] => [1,2,2,1] [4,1,6,5,2,3] => [1,2,1,2] [4,1,6,5,3,2] => [1,2,1,1,1] [4,2,1,3,5,6] => [1,1,4] [4,2,1,3,6,5] => [1,1,3,1] [4,2,1,5,3,6] => [1,1,2,2] [4,2,1,5,6,3] => [1,1,3,1] [4,2,1,6,3,5] => [1,1,2,2] [4,2,1,6,5,3] => [1,1,2,1,1] [4,2,3,1,5,6] => [1,2,3] [4,2,3,1,6,5] => [1,2,2,1] [4,2,3,5,1,6] => [1,3,2] [4,2,3,5,6,1] => [1,4,1] [4,2,3,6,1,5] => [1,3,2] [4,2,3,6,5,1] => [1,3,1,1] [4,2,5,1,3,6] => [1,2,3] [4,2,5,1,6,3] => [1,2,2,1] [4,2,5,3,1,6] => [1,2,1,2] [4,2,5,3,6,1] => [1,2,2,1] [4,2,5,6,1,3] => [1,3,2] [4,2,5,6,3,1] => [1,3,1,1] [4,2,6,1,3,5] => [1,2,3] [4,2,6,1,5,3] => [1,2,2,1] [4,2,6,3,1,5] => [1,2,1,2] [4,2,6,3,5,1] => [1,2,2,1] [4,2,6,5,1,3] => [1,2,1,2] [4,2,6,5,3,1] => [1,2,1,1,1] [4,3,1,2,5,6] => [1,1,4] [4,3,1,2,6,5] => [1,1,3,1] [4,3,1,5,2,6] => [1,1,2,2] [4,3,1,5,6,2] => [1,1,3,1] [4,3,1,6,2,5] => [1,1,2,2] [4,3,1,6,5,2] => [1,1,2,1,1] [4,3,2,1,5,6] => [1,1,1,3] [4,3,2,1,6,5] => [1,1,1,2,1] [4,3,2,5,1,6] => [1,1,2,2] [4,3,2,5,6,1] => [1,1,3,1] [4,3,2,6,1,5] => [1,1,2,2] [4,3,2,6,5,1] => [1,1,2,1,1] [4,3,5,1,2,6] => [1,2,3] [4,3,5,1,6,2] => [1,2,2,1] [4,3,5,2,1,6] => [1,2,1,2] [4,3,5,2,6,1] => [1,2,2,1] [4,3,5,6,1,2] => [1,3,2] [4,3,5,6,2,1] => [1,3,1,1] [4,3,6,1,2,5] => [1,2,3] [4,3,6,1,5,2] => [1,2,2,1] [4,3,6,2,1,5] => [1,2,1,2] [4,3,6,2,5,1] => [1,2,2,1] [4,3,6,5,1,2] => [1,2,1,2] [4,3,6,5,2,1] => [1,2,1,1,1] [4,5,1,2,3,6] => [2,4] [4,5,1,2,6,3] => [2,3,1] [4,5,1,3,2,6] => [2,2,2] [4,5,1,3,6,2] => [2,3,1] [4,5,1,6,2,3] => [2,2,2] [4,5,1,6,3,2] => [2,2,1,1] [4,5,2,1,3,6] => [2,1,3] [4,5,2,1,6,3] => [2,1,2,1] [4,5,2,3,1,6] => [2,2,2] [4,5,2,3,6,1] => [2,3,1] [4,5,2,6,1,3] => [2,2,2] [4,5,2,6,3,1] => [2,2,1,1] [4,5,3,1,2,6] => [2,1,3] [4,5,3,1,6,2] => [2,1,2,1] [4,5,3,2,1,6] => [2,1,1,2] [4,5,3,2,6,1] => [2,1,2,1] [4,5,3,6,1,2] => [2,2,2] [4,5,3,6,2,1] => [2,2,1,1] [4,5,6,1,2,3] => [3,3] [4,5,6,1,3,2] => [3,2,1] [4,5,6,2,1,3] => [3,1,2] [4,5,6,2,3,1] => [3,2,1] [4,5,6,3,1,2] => [3,1,2] [4,5,6,3,2,1] => [3,1,1,1] [4,6,1,2,3,5] => [2,4] [4,6,1,2,5,3] => [2,3,1] [4,6,1,3,2,5] => [2,2,2] [4,6,1,3,5,2] => [2,3,1] [4,6,1,5,2,3] => [2,2,2] [4,6,1,5,3,2] => [2,2,1,1] [4,6,2,1,3,5] => [2,1,3] [4,6,2,1,5,3] => [2,1,2,1] [4,6,2,3,1,5] => [2,2,2] [4,6,2,3,5,1] => [2,3,1] [4,6,2,5,1,3] => [2,2,2] [4,6,2,5,3,1] => [2,2,1,1] [4,6,3,1,2,5] => [2,1,3] [4,6,3,1,5,2] => [2,1,2,1] [4,6,3,2,1,5] => [2,1,1,2] [4,6,3,2,5,1] => [2,1,2,1] [4,6,3,5,1,2] => [2,2,2] [4,6,3,5,2,1] => [2,2,1,1] [4,6,5,1,2,3] => [2,1,3] [4,6,5,1,3,2] => [2,1,2,1] [4,6,5,2,1,3] => [2,1,1,2] [4,6,5,2,3,1] => [2,1,2,1] [4,6,5,3,1,2] => [2,1,1,2] [4,6,5,3,2,1] => [2,1,1,1,1] [5,1,2,3,4,6] => [1,5] [5,1,2,3,6,4] => [1,4,1] [5,1,2,4,3,6] => [1,3,2] [5,1,2,4,6,3] => [1,4,1] [5,1,2,6,3,4] => [1,3,2] [5,1,2,6,4,3] => [1,3,1,1] [5,1,3,2,4,6] => [1,2,3] [5,1,3,2,6,4] => [1,2,2,1] [5,1,3,4,2,6] => [1,3,2] [5,1,3,4,6,2] => [1,4,1] [5,1,3,6,2,4] => [1,3,2] [5,1,3,6,4,2] => [1,3,1,1] [5,1,4,2,3,6] => [1,2,3] [5,1,4,2,6,3] => [1,2,2,1] [5,1,4,3,2,6] => [1,2,1,2] [5,1,4,3,6,2] => [1,2,2,1] [5,1,4,6,2,3] => [1,3,2] [5,1,4,6,3,2] => [1,3,1,1] [5,1,6,2,3,4] => [1,2,3] [5,1,6,2,4,3] => [1,2,2,1] [5,1,6,3,2,4] => [1,2,1,2] [5,1,6,3,4,2] => [1,2,2,1] [5,1,6,4,2,3] => [1,2,1,2] [5,1,6,4,3,2] => [1,2,1,1,1] [5,2,1,3,4,6] => [1,1,4] [5,2,1,3,6,4] => [1,1,3,1] [5,2,1,4,3,6] => [1,1,2,2] [5,2,1,4,6,3] => [1,1,3,1] [5,2,1,6,3,4] => [1,1,2,2] [5,2,1,6,4,3] => [1,1,2,1,1] [5,2,3,1,4,6] => [1,2,3] [5,2,3,1,6,4] => [1,2,2,1] [5,2,3,4,1,6] => [1,3,2] [5,2,3,4,6,1] => [1,4,1] [5,2,3,6,1,4] => [1,3,2] [5,2,3,6,4,1] => [1,3,1,1] [5,2,4,1,3,6] => [1,2,3] [5,2,4,1,6,3] => [1,2,2,1] [5,2,4,3,1,6] => [1,2,1,2] [5,2,4,3,6,1] => [1,2,2,1] [5,2,4,6,1,3] => [1,3,2] [5,2,4,6,3,1] => [1,3,1,1] [5,2,6,1,3,4] => [1,2,3] [5,2,6,1,4,3] => [1,2,2,1] [5,2,6,3,1,4] => [1,2,1,2] [5,2,6,3,4,1] => [1,2,2,1] [5,2,6,4,1,3] => [1,2,1,2] [5,2,6,4,3,1] => [1,2,1,1,1] [5,3,1,2,4,6] => [1,1,4] [5,3,1,2,6,4] => [1,1,3,1] [5,3,1,4,2,6] => [1,1,2,2] [5,3,1,4,6,2] => [1,1,3,1] [5,3,1,6,2,4] => [1,1,2,2] [5,3,1,6,4,2] => [1,1,2,1,1] [5,3,2,1,4,6] => [1,1,1,3] [5,3,2,1,6,4] => [1,1,1,2,1] [5,3,2,4,1,6] => [1,1,2,2] [5,3,2,4,6,1] => [1,1,3,1] [5,3,2,6,1,4] => [1,1,2,2] [5,3,2,6,4,1] => [1,1,2,1,1] [5,3,4,1,2,6] => [1,2,3] [5,3,4,1,6,2] => [1,2,2,1] [5,3,4,2,1,6] => [1,2,1,2] [5,3,4,2,6,1] => [1,2,2,1] [5,3,4,6,1,2] => [1,3,2] [5,3,4,6,2,1] => [1,3,1,1] [5,3,6,1,2,4] => [1,2,3] [5,3,6,1,4,2] => [1,2,2,1] [5,3,6,2,1,4] => [1,2,1,2] [5,3,6,2,4,1] => [1,2,2,1] [5,3,6,4,1,2] => [1,2,1,2] [5,3,6,4,2,1] => [1,2,1,1,1] [5,4,1,2,3,6] => [1,1,4] [5,4,1,2,6,3] => [1,1,3,1] [5,4,1,3,2,6] => [1,1,2,2] [5,4,1,3,6,2] => [1,1,3,1] [5,4,1,6,2,3] => [1,1,2,2] [5,4,1,6,3,2] => [1,1,2,1,1] [5,4,2,1,3,6] => [1,1,1,3] [5,4,2,1,6,3] => [1,1,1,2,1] [5,4,2,3,1,6] => [1,1,2,2] [5,4,2,3,6,1] => [1,1,3,1] [5,4,2,6,1,3] => [1,1,2,2] [5,4,2,6,3,1] => [1,1,2,1,1] [5,4,3,1,2,6] => [1,1,1,3] [5,4,3,1,6,2] => [1,1,1,2,1] [5,4,3,2,1,6] => [1,1,1,1,2] [5,4,3,2,6,1] => [1,1,1,2,1] [5,4,3,6,1,2] => [1,1,2,2] [5,4,3,6,2,1] => [1,1,2,1,1] [5,4,6,1,2,3] => [1,2,3] [5,4,6,1,3,2] => [1,2,2,1] [5,4,6,2,1,3] => [1,2,1,2] [5,4,6,2,3,1] => [1,2,2,1] [5,4,6,3,1,2] => [1,2,1,2] [5,4,6,3,2,1] => [1,2,1,1,1] [5,6,1,2,3,4] => [2,4] [5,6,1,2,4,3] => [2,3,1] [5,6,1,3,2,4] => [2,2,2] [5,6,1,3,4,2] => [2,3,1] [5,6,1,4,2,3] => [2,2,2] [5,6,1,4,3,2] => [2,2,1,1] [5,6,2,1,3,4] => [2,1,3] [5,6,2,1,4,3] => [2,1,2,1] [5,6,2,3,1,4] => [2,2,2] [5,6,2,3,4,1] => [2,3,1] [5,6,2,4,1,3] => [2,2,2] [5,6,2,4,3,1] => [2,2,1,1] [5,6,3,1,2,4] => [2,1,3] [5,6,3,1,4,2] => [2,1,2,1] [5,6,3,2,1,4] => [2,1,1,2] [5,6,3,2,4,1] => [2,1,2,1] [5,6,3,4,1,2] => [2,2,2] [5,6,3,4,2,1] => [2,2,1,1] [5,6,4,1,2,3] => [2,1,3] [5,6,4,1,3,2] => [2,1,2,1] [5,6,4,2,1,3] => [2,1,1,2] [5,6,4,2,3,1] => [2,1,2,1] [5,6,4,3,1,2] => [2,1,1,2] [5,6,4,3,2,1] => [2,1,1,1,1] [6,1,2,3,4,5] => [1,5] [6,1,2,3,5,4] => [1,4,1] [6,1,2,4,3,5] => [1,3,2] [6,1,2,4,5,3] => [1,4,1] [6,1,2,5,3,4] => [1,3,2] [6,1,2,5,4,3] => [1,3,1,1] [6,1,3,2,4,5] => [1,2,3] [6,1,3,2,5,4] => [1,2,2,1] [6,1,3,4,2,5] => [1,3,2] [6,1,3,4,5,2] => [1,4,1] [6,1,3,5,2,4] => [1,3,2] [6,1,3,5,4,2] => [1,3,1,1] [6,1,4,2,3,5] => [1,2,3] [6,1,4,2,5,3] => [1,2,2,1] [6,1,4,3,2,5] => [1,2,1,2] [6,1,4,3,5,2] => [1,2,2,1] [6,1,4,5,2,3] => [1,3,2] [6,1,4,5,3,2] => [1,3,1,1] [6,1,5,2,3,4] => [1,2,3] [6,1,5,2,4,3] => [1,2,2,1] [6,1,5,3,2,4] => [1,2,1,2] [6,1,5,3,4,2] => [1,2,2,1] [6,1,5,4,2,3] => [1,2,1,2] [6,1,5,4,3,2] => [1,2,1,1,1] [6,2,1,3,4,5] => [1,1,4] [6,2,1,3,5,4] => [1,1,3,1] [6,2,1,4,3,5] => [1,1,2,2] [6,2,1,4,5,3] => [1,1,3,1] [6,2,1,5,3,4] => [1,1,2,2] [6,2,1,5,4,3] => [1,1,2,1,1] [6,2,3,1,4,5] => [1,2,3] [6,2,3,1,5,4] => [1,2,2,1] [6,2,3,4,1,5] => [1,3,2] [6,2,3,4,5,1] => [1,4,1] [6,2,3,5,1,4] => [1,3,2] [6,2,3,5,4,1] => [1,3,1,1] [6,2,4,1,3,5] => [1,2,3] [6,2,4,1,5,3] => [1,2,2,1] [6,2,4,3,1,5] => [1,2,1,2] [6,2,4,3,5,1] => [1,2,2,1] [6,2,4,5,1,3] => [1,3,2] [6,2,4,5,3,1] => [1,3,1,1] [6,2,5,1,3,4] => [1,2,3] [6,2,5,1,4,3] => [1,2,2,1] [6,2,5,3,1,4] => [1,2,1,2] [6,2,5,3,4,1] => [1,2,2,1] [6,2,5,4,1,3] => [1,2,1,2] [6,2,5,4,3,1] => [1,2,1,1,1] [6,3,1,2,4,5] => [1,1,4] [6,3,1,2,5,4] => [1,1,3,1] [6,3,1,4,2,5] => [1,1,2,2] [6,3,1,4,5,2] => [1,1,3,1] [6,3,1,5,2,4] => [1,1,2,2] [6,3,1,5,4,2] => [1,1,2,1,1] [6,3,2,1,4,5] => [1,1,1,3] [6,3,2,1,5,4] => [1,1,1,2,1] [6,3,2,4,1,5] => [1,1,2,2] [6,3,2,4,5,1] => [1,1,3,1] [6,3,2,5,1,4] => [1,1,2,2] [6,3,2,5,4,1] => [1,1,2,1,1] [6,3,4,1,2,5] => [1,2,3] [6,3,4,1,5,2] => [1,2,2,1] [6,3,4,2,1,5] => [1,2,1,2] [6,3,4,2,5,1] => [1,2,2,1] [6,3,4,5,1,2] => [1,3,2] [6,3,4,5,2,1] => [1,3,1,1] [6,3,5,1,2,4] => [1,2,3] [6,3,5,1,4,2] => [1,2,2,1] [6,3,5,2,1,4] => [1,2,1,2] [6,3,5,2,4,1] => [1,2,2,1] [6,3,5,4,1,2] => [1,2,1,2] [6,3,5,4,2,1] => [1,2,1,1,1] [6,4,1,2,3,5] => [1,1,4] [6,4,1,2,5,3] => [1,1,3,1] [6,4,1,3,2,5] => [1,1,2,2] [6,4,1,3,5,2] => [1,1,3,1] [6,4,1,5,2,3] => [1,1,2,2] [6,4,1,5,3,2] => [1,1,2,1,1] [6,4,2,1,3,5] => [1,1,1,3] [6,4,2,1,5,3] => [1,1,1,2,1] [6,4,2,3,1,5] => [1,1,2,2] [6,4,2,3,5,1] => [1,1,3,1] [6,4,2,5,1,3] => [1,1,2,2] [6,4,2,5,3,1] => [1,1,2,1,1] [6,4,3,1,2,5] => [1,1,1,3] [6,4,3,1,5,2] => [1,1,1,2,1] [6,4,3,2,1,5] => [1,1,1,1,2] [6,4,3,2,5,1] => [1,1,1,2,1] [6,4,3,5,1,2] => [1,1,2,2] [6,4,3,5,2,1] => [1,1,2,1,1] [6,4,5,1,2,3] => [1,2,3] [6,4,5,1,3,2] => [1,2,2,1] [6,4,5,2,1,3] => [1,2,1,2] [6,4,5,2,3,1] => [1,2,2,1] [6,4,5,3,1,2] => [1,2,1,2] [6,4,5,3,2,1] => [1,2,1,1,1] [6,5,1,2,3,4] => [1,1,4] [6,5,1,2,4,3] => [1,1,3,1] [6,5,1,3,2,4] => [1,1,2,2] [6,5,1,3,4,2] => [1,1,3,1] [6,5,1,4,2,3] => [1,1,2,2] [6,5,1,4,3,2] => [1,1,2,1,1] [6,5,2,1,3,4] => [1,1,1,3] [6,5,2,1,4,3] => [1,1,1,2,1] [6,5,2,3,1,4] => [1,1,2,2] [6,5,2,3,4,1] => [1,1,3,1] [6,5,2,4,1,3] => [1,1,2,2] [6,5,2,4,3,1] => [1,1,2,1,1] [6,5,3,1,2,4] => [1,1,1,3] [6,5,3,1,4,2] => [1,1,1,2,1] [6,5,3,2,1,4] => [1,1,1,1,2] [6,5,3,2,4,1] => [1,1,1,2,1] [6,5,3,4,1,2] => [1,1,2,2] [6,5,3,4,2,1] => [1,1,2,1,1] [6,5,4,1,2,3] => [1,1,1,3] [6,5,4,1,3,2] => [1,1,1,2,1] [6,5,4,2,1,3] => [1,1,1,1,2] [6,5,4,2,3,1] => [1,1,1,2,1] [6,5,4,3,1,2] => [1,1,1,1,2] [6,5,4,3,2,1] => [1,1,1,1,1,1] [1,2,3,4,5,6,7] => [7] [1,2,3,4,5,7,6] => [6,1] [1,2,3,4,6,5,7] => [5,2] [1,2,3,4,6,7,5] => [6,1] [1,2,3,4,7,5,6] => [5,2] [1,2,3,4,7,6,5] => [5,1,1] [1,2,3,5,4,6,7] => [4,3] [1,2,3,5,4,7,6] => [4,2,1] [1,2,3,5,6,4,7] => [5,2] [1,2,3,5,6,7,4] => [6,1] [1,2,3,5,7,4,6] => [5,2] [1,2,3,5,7,6,4] => [5,1,1] [1,2,3,6,4,5,7] => [4,3] [1,2,3,6,4,7,5] => [4,2,1] [1,2,3,6,5,4,7] => [4,1,2] [1,2,3,6,5,7,4] => [4,2,1] [1,2,3,6,7,4,5] => [5,2] [1,2,3,6,7,5,4] => [5,1,1] [1,2,3,7,4,5,6] => [4,3] [1,2,3,7,4,6,5] => [4,2,1] [1,2,3,7,5,4,6] => [4,1,2] [1,2,3,7,5,6,4] => [4,2,1] [1,2,3,7,6,4,5] => [4,1,2] [1,2,3,7,6,5,4] => [4,1,1,1] [1,2,4,3,5,6,7] => [3,4] [1,2,4,3,5,7,6] => [3,3,1] [1,2,4,3,6,5,7] => [3,2,2] [1,2,4,3,6,7,5] => [3,3,1] [1,2,4,3,7,5,6] => [3,2,2] [1,2,4,3,7,6,5] => [3,2,1,1] [1,2,4,5,3,6,7] => [4,3] [1,2,4,5,3,7,6] => [4,2,1] [1,2,4,5,6,3,7] => [5,2] [1,2,4,5,6,7,3] => [6,1] [1,2,4,5,7,3,6] => [5,2] [1,2,4,5,7,6,3] => [5,1,1] [1,2,4,6,3,5,7] => [4,3] [1,2,4,6,3,7,5] => [4,2,1] [1,2,4,6,5,3,7] => [4,1,2] [1,2,4,6,5,7,3] => [4,2,1] [1,2,4,6,7,3,5] => [5,2] [1,2,4,6,7,5,3] => [5,1,1] [1,2,4,7,3,5,6] => [4,3] [1,2,4,7,3,6,5] => [4,2,1] [1,2,4,7,5,3,6] => [4,1,2] [1,2,4,7,5,6,3] => [4,2,1] [1,2,4,7,6,3,5] => [4,1,2] [1,2,4,7,6,5,3] => [4,1,1,1] [1,2,5,3,4,6,7] => [3,4] [1,2,5,3,4,7,6] => [3,3,1] [1,2,5,3,6,4,7] => [3,2,2] [1,2,5,3,6,7,4] => [3,3,1] [1,2,5,3,7,4,6] => [3,2,2] [1,2,5,3,7,6,4] => [3,2,1,1] [1,2,5,4,3,6,7] => [3,1,3] [1,2,5,4,3,7,6] => [3,1,2,1] [1,2,5,4,6,3,7] => [3,2,2] [1,2,5,4,6,7,3] => [3,3,1] [1,2,5,4,7,3,6] => [3,2,2] [1,2,5,4,7,6,3] => [3,2,1,1] [1,2,5,6,3,4,7] => [4,3] [1,2,5,6,3,7,4] => [4,2,1] [1,2,5,6,4,3,7] => [4,1,2] [1,2,5,6,4,7,3] => [4,2,1] [1,2,5,6,7,3,4] => [5,2] [1,2,5,6,7,4,3] => [5,1,1] [1,2,5,7,3,4,6] => [4,3] [1,2,5,7,3,6,4] => [4,2,1] [1,2,5,7,4,3,6] => [4,1,2] [1,2,5,7,4,6,3] => [4,2,1] [1,2,5,7,6,3,4] => [4,1,2] [1,2,5,7,6,4,3] => [4,1,1,1] [1,2,6,3,4,5,7] => [3,4] [1,2,6,3,4,7,5] => [3,3,1] [1,2,6,3,5,4,7] => [3,2,2] [1,2,6,3,5,7,4] => [3,3,1] [1,2,6,3,7,4,5] => [3,2,2] [1,2,6,3,7,5,4] => [3,2,1,1] [1,2,6,4,3,5,7] => [3,1,3] [1,2,6,4,3,7,5] => [3,1,2,1] [1,2,6,4,5,3,7] => [3,2,2] [1,2,6,4,5,7,3] => [3,3,1] [1,2,6,4,7,3,5] => [3,2,2] [1,2,6,4,7,5,3] => [3,2,1,1] [1,2,6,5,3,4,7] => [3,1,3] [1,2,6,5,3,7,4] => [3,1,2,1] [1,2,6,5,4,3,7] => [3,1,1,2] [1,2,6,5,4,7,3] => [3,1,2,1] [1,2,6,5,7,3,4] => [3,2,2] [1,2,6,5,7,4,3] => [3,2,1,1] [1,2,6,7,3,4,5] => [4,3] [1,2,6,7,3,5,4] => [4,2,1] [1,2,6,7,4,3,5] => [4,1,2] [1,2,6,7,4,5,3] => [4,2,1] [1,2,6,7,5,3,4] => [4,1,2] [1,2,6,7,5,4,3] => [4,1,1,1] [1,2,7,3,4,5,6] => [3,4] [1,2,7,3,4,6,5] => [3,3,1] [1,2,7,3,5,4,6] => [3,2,2] [1,2,7,3,5,6,4] => [3,3,1] [1,2,7,3,6,4,5] => [3,2,2] [1,2,7,3,6,5,4] => [3,2,1,1] [1,2,7,4,3,5,6] => [3,1,3] [1,2,7,4,3,6,5] => [3,1,2,1] [1,2,7,4,5,3,6] => [3,2,2] [1,2,7,4,5,6,3] => [3,3,1] [1,2,7,4,6,3,5] => [3,2,2] [1,2,7,4,6,5,3] => [3,2,1,1] [1,2,7,5,3,4,6] => [3,1,3] [1,2,7,5,3,6,4] => [3,1,2,1] [1,2,7,5,4,3,6] => [3,1,1,2] [1,2,7,5,4,6,3] => [3,1,2,1] [1,2,7,5,6,3,4] => [3,2,2] [1,2,7,5,6,4,3] => [3,2,1,1] [1,2,7,6,3,4,5] => [3,1,3] [1,2,7,6,3,5,4] => [3,1,2,1] [1,2,7,6,4,3,5] => [3,1,1,2] [1,2,7,6,4,5,3] => [3,1,2,1] [1,2,7,6,5,3,4] => [3,1,1,2] [1,2,7,6,5,4,3] => [3,1,1,1,1] [1,3,2,4,5,6,7] => [2,5] [1,3,2,4,5,7,6] => [2,4,1] [1,3,2,4,6,5,7] => [2,3,2] [1,3,2,4,6,7,5] => [2,4,1] [1,3,2,4,7,5,6] => [2,3,2] [1,3,2,4,7,6,5] => [2,3,1,1] [1,3,2,5,4,6,7] => [2,2,3] [1,3,2,5,4,7,6] => [2,2,2,1] [1,3,2,5,6,4,7] => [2,3,2] [1,3,2,5,6,7,4] => [2,4,1] [1,3,2,5,7,4,6] => [2,3,2] [1,3,2,5,7,6,4] => [2,3,1,1] [1,3,2,6,4,5,7] => [2,2,3] [1,3,2,6,4,7,5] => [2,2,2,1] [1,3,2,6,5,4,7] => [2,2,1,2] [1,3,2,6,5,7,4] => [2,2,2,1] [1,3,2,6,7,4,5] => [2,3,2] [1,3,2,6,7,5,4] => [2,3,1,1] [1,3,2,7,4,5,6] => [2,2,3] [1,3,2,7,4,6,5] => [2,2,2,1] [1,3,2,7,5,4,6] => [2,2,1,2] [1,3,2,7,5,6,4] => [2,2,2,1] [1,3,2,7,6,4,5] => [2,2,1,2] [1,3,2,7,6,5,4] => [2,2,1,1,1] [1,3,4,2,5,6,7] => [3,4] [1,3,4,2,5,7,6] => [3,3,1] [1,3,4,2,6,5,7] => [3,2,2] [1,3,4,2,6,7,5] => [3,3,1] [1,3,4,2,7,5,6] => [3,2,2] [1,3,4,2,7,6,5] => [3,2,1,1] [1,3,4,5,2,6,7] => [4,3] [1,3,4,5,2,7,6] => [4,2,1] [1,3,4,5,6,2,7] => [5,2] [1,3,4,5,6,7,2] => [6,1] [1,3,4,5,7,2,6] => [5,2] [1,3,4,5,7,6,2] => [5,1,1] [1,3,4,6,2,5,7] => [4,3] [1,3,4,6,2,7,5] => [4,2,1] [1,3,4,6,5,2,7] => [4,1,2] [1,3,4,6,5,7,2] => [4,2,1] [1,3,4,6,7,2,5] => [5,2] [1,3,4,6,7,5,2] => [5,1,1] [1,3,4,7,2,5,6] => [4,3] [1,3,4,7,2,6,5] => [4,2,1] [1,3,4,7,5,2,6] => [4,1,2] [1,3,4,7,5,6,2] => [4,2,1] [1,3,4,7,6,2,5] => [4,1,2] [1,3,4,7,6,5,2] => [4,1,1,1] [1,3,5,2,4,6,7] => [3,4] [1,3,5,2,4,7,6] => [3,3,1] [1,3,5,2,6,4,7] => [3,2,2] [1,3,5,2,6,7,4] => [3,3,1] [1,3,5,2,7,4,6] => [3,2,2] [1,3,5,2,7,6,4] => [3,2,1,1] [1,3,5,4,2,6,7] => [3,1,3] [1,3,5,4,2,7,6] => [3,1,2,1] [1,3,5,4,6,2,7] => [3,2,2] [1,3,5,4,6,7,2] => [3,3,1] [1,3,5,4,7,2,6] => [3,2,2] [1,3,5,4,7,6,2] => [3,2,1,1] [1,3,5,6,2,4,7] => [4,3] [1,3,5,6,2,7,4] => [4,2,1] [1,3,5,6,4,2,7] => [4,1,2] [1,3,5,6,4,7,2] => [4,2,1] [1,3,5,6,7,2,4] => [5,2] [1,3,5,6,7,4,2] => [5,1,1] [1,3,5,7,2,4,6] => [4,3] [1,3,5,7,2,6,4] => [4,2,1] [1,3,5,7,4,2,6] => [4,1,2] [1,3,5,7,4,6,2] => [4,2,1] [1,3,5,7,6,2,4] => [4,1,2] [1,3,5,7,6,4,2] => [4,1,1,1] [1,3,6,2,4,5,7] => [3,4] [1,3,6,2,4,7,5] => [3,3,1] [1,3,6,2,5,4,7] => [3,2,2] [1,3,6,2,5,7,4] => [3,3,1] [1,3,6,2,7,4,5] => [3,2,2] [1,3,6,2,7,5,4] => [3,2,1,1] [1,3,6,4,2,5,7] => [3,1,3] [1,3,6,4,2,7,5] => [3,1,2,1] [1,3,6,4,5,2,7] => [3,2,2] [1,3,6,4,5,7,2] => [3,3,1] [1,3,6,4,7,2,5] => [3,2,2] [1,3,6,4,7,5,2] => [3,2,1,1] [1,3,6,5,2,4,7] => [3,1,3] [1,3,6,5,2,7,4] => [3,1,2,1] [1,3,6,5,4,2,7] => [3,1,1,2] [1,3,6,5,4,7,2] => [3,1,2,1] [1,3,6,5,7,2,4] => [3,2,2] [1,3,6,5,7,4,2] => [3,2,1,1] [1,3,6,7,2,4,5] => [4,3] [1,3,6,7,2,5,4] => [4,2,1] [1,3,6,7,4,2,5] => [4,1,2] [1,3,6,7,4,5,2] => [4,2,1] [1,3,6,7,5,2,4] => [4,1,2] [1,3,6,7,5,4,2] => [4,1,1,1] [1,3,7,2,4,5,6] => [3,4] [1,3,7,2,4,6,5] => [3,3,1] [1,3,7,2,5,4,6] => [3,2,2] [1,3,7,2,5,6,4] => [3,3,1] [1,3,7,2,6,4,5] => [3,2,2] [1,3,7,2,6,5,4] => [3,2,1,1] [1,3,7,4,2,5,6] => [3,1,3] [1,3,7,4,2,6,5] => [3,1,2,1] [1,3,7,4,5,2,6] => [3,2,2] [1,3,7,4,5,6,2] => [3,3,1] [1,3,7,4,6,2,5] => [3,2,2] [1,3,7,4,6,5,2] => [3,2,1,1] [1,3,7,5,2,4,6] => [3,1,3] [1,3,7,5,2,6,4] => [3,1,2,1] [1,3,7,5,4,2,6] => [3,1,1,2] [1,3,7,5,4,6,2] => [3,1,2,1] [1,3,7,5,6,2,4] => [3,2,2] [1,3,7,5,6,4,2] => [3,2,1,1] [1,3,7,6,2,4,5] => [3,1,3] [1,3,7,6,2,5,4] => [3,1,2,1] [1,3,7,6,4,2,5] => [3,1,1,2] [1,3,7,6,4,5,2] => [3,1,2,1] [1,3,7,6,5,2,4] => [3,1,1,2] [1,3,7,6,5,4,2] => [3,1,1,1,1] [1,4,2,3,5,6,7] => [2,5] [1,4,2,3,5,7,6] => [2,4,1] [1,4,2,3,6,5,7] => [2,3,2] [1,4,2,3,6,7,5] => [2,4,1] [1,4,2,3,7,5,6] => [2,3,2] [1,4,2,3,7,6,5] => [2,3,1,1] [1,4,2,5,3,6,7] => [2,2,3] [1,4,2,5,3,7,6] => [2,2,2,1] [1,4,2,5,6,3,7] => [2,3,2] [1,4,2,5,6,7,3] => [2,4,1] [1,4,2,5,7,3,6] => [2,3,2] [1,4,2,5,7,6,3] => [2,3,1,1] [1,4,2,6,3,5,7] => [2,2,3] [1,4,2,6,3,7,5] => [2,2,2,1] [1,4,2,6,5,3,7] => [2,2,1,2] [1,4,2,6,5,7,3] => [2,2,2,1] [1,4,2,6,7,3,5] => [2,3,2] [1,4,2,6,7,5,3] => [2,3,1,1] [1,4,2,7,3,5,6] => [2,2,3] [1,4,2,7,3,6,5] => [2,2,2,1] [1,4,2,7,5,3,6] => [2,2,1,2] [1,4,2,7,5,6,3] => [2,2,2,1] [1,4,2,7,6,3,5] => [2,2,1,2] [1,4,2,7,6,5,3] => [2,2,1,1,1] [1,4,3,2,5,6,7] => [2,1,4] [1,4,3,2,5,7,6] => [2,1,3,1] [1,4,3,2,6,5,7] => [2,1,2,2] [1,4,3,2,6,7,5] => [2,1,3,1] [1,4,3,2,7,5,6] => [2,1,2,2] [1,4,3,2,7,6,5] => [2,1,2,1,1] [1,4,3,5,2,6,7] => [2,2,3] [1,4,3,5,2,7,6] => [2,2,2,1] [1,4,3,5,6,2,7] => [2,3,2] [1,4,3,5,6,7,2] => [2,4,1] [1,4,3,5,7,2,6] => [2,3,2] [1,4,3,5,7,6,2] => [2,3,1,1] [1,4,3,6,2,5,7] => [2,2,3] [1,4,3,6,2,7,5] => [2,2,2,1] [1,4,3,6,5,2,7] => [2,2,1,2] [1,4,3,6,5,7,2] => [2,2,2,1] [1,4,3,6,7,2,5] => [2,3,2] [1,4,3,6,7,5,2] => [2,3,1,1] [1,4,3,7,2,5,6] => [2,2,3] [1,4,3,7,2,6,5] => [2,2,2,1] [1,4,3,7,5,2,6] => [2,2,1,2] [1,4,3,7,5,6,2] => [2,2,2,1] [1,4,3,7,6,2,5] => [2,2,1,2] [1,4,3,7,6,5,2] => [2,2,1,1,1] [1,4,5,2,3,6,7] => [3,4] [1,4,5,2,3,7,6] => [3,3,1] [1,4,5,2,6,3,7] => [3,2,2] [1,4,5,2,6,7,3] => [3,3,1] [1,4,5,2,7,3,6] => [3,2,2] [1,4,5,2,7,6,3] => [3,2,1,1] [1,4,5,3,2,6,7] => [3,1,3] [1,4,5,3,2,7,6] => [3,1,2,1] [1,4,5,3,6,2,7] => [3,2,2] [1,4,5,3,6,7,2] => [3,3,1] [1,4,5,3,7,2,6] => [3,2,2] [1,4,5,3,7,6,2] => [3,2,1,1] [1,4,5,6,2,3,7] => [4,3] [1,4,5,6,2,7,3] => [4,2,1] [1,4,5,6,3,2,7] => [4,1,2] [1,4,5,6,3,7,2] => [4,2,1] [1,4,5,6,7,2,3] => [5,2] [1,4,5,6,7,3,2] => [5,1,1] [1,4,5,7,2,3,6] => [4,3] [1,4,5,7,2,6,3] => [4,2,1] [1,4,5,7,3,2,6] => [4,1,2] [1,4,5,7,3,6,2] => [4,2,1] [1,4,5,7,6,2,3] => [4,1,2] [1,4,5,7,6,3,2] => [4,1,1,1] [1,4,6,2,3,5,7] => [3,4] [1,4,6,2,3,7,5] => [3,3,1] [1,4,6,2,5,3,7] => [3,2,2] [1,4,6,2,5,7,3] => [3,3,1] [1,4,6,2,7,3,5] => [3,2,2] [1,4,6,2,7,5,3] => [3,2,1,1] [1,4,6,3,2,5,7] => [3,1,3] [1,4,6,3,2,7,5] => [3,1,2,1] [1,4,6,3,5,2,7] => [3,2,2] [1,4,6,3,5,7,2] => [3,3,1] [1,4,6,3,7,2,5] => [3,2,2] [1,4,6,3,7,5,2] => [3,2,1,1] [1,4,6,5,2,3,7] => [3,1,3] [1,4,6,5,2,7,3] => [3,1,2,1] [1,4,6,5,3,2,7] => [3,1,1,2] ----------------------------------------------------------------------------- Created: Jan 26, 2020 at 12:32 by FindStatCrew ----------------------------------------------------------------------------- Last Updated: Jan 26, 2020 at 12:32 by Martin Rubey