************************************************************************ * 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: Mp00039 ------------------------------------------------------------------------ Map name: complement ------------------------------------------------------------------------ Domain: Integer compositions ------------------------------------------------------------------------ Codomain: Integer compositions ------------------------------------------------------------------------ Description: The complement of a composition. The complement of a composition \$I\$ is defined as follows: If \$I\$ is the empty composition, then the complement is also the empty composition. Otherwise, let \$S\$ be the descent set corresponding to \$I=(i_1,\dots,i_k)\$, that is, the subset \$\$\{ i_1, i_1 + i_2, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}\$\$ of \$\{ 1, 2, \ldots, |I|-1 \}\$. Then, the complement of \$I\$ is the composition of the same size as \$I\$, whose descent set is \$\{ 1, 2, \ldots, |I|-1 \} \setminus S\$. The complement of a composition \$I\$ coincides with the reversal ([[Mp00038]]) of the composition conjugate ([[Mp00041]]) to \$I\$. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(elt): return elt.conjugate().reversed() ------------------------------------------------------------------------ Map images: [1] => [1] [1,1] => [2] [2] => [1,1] [1,1,1] => [3] [1,2] => [2,1] [2,1] => [1,2] [3] => [1,1,1] [1,1,1,1] => [4] [1,1,2] => [3,1] [1,2,1] => [2,2] [1,3] => [2,1,1] [2,1,1] => [1,3] [2,2] => [1,2,1] [3,1] => [1,1,2] [4] => [1,1,1,1] [1,1,1,1,1] => [5] [1,1,1,2] => [4,1] [1,1,2,1] => [3,2] [1,1,3] => [3,1,1] [1,2,1,1] => [2,3] [1,2,2] => [2,2,1] [1,3,1] => [2,1,2] [1,4] => [2,1,1,1] [2,1,1,1] => [1,4] [2,1,2] => [1,3,1] [2,2,1] => [1,2,2] [2,3] => [1,2,1,1] [3,1,1] => [1,1,3] [3,2] => [1,1,2,1] [4,1] => [1,1,1,2] [5] => [1,1,1,1,1] [1,1,1,1,1,1] => [6] [1,1,1,1,2] => [5,1] [1,1,1,2,1] => [4,2] [1,1,1,3] => [4,1,1] [1,1,2,1,1] => [3,3] [1,1,2,2] => [3,2,1] [1,1,3,1] => [3,1,2] [1,1,4] => [3,1,1,1] [1,2,1,1,1] => [2,4] [1,2,1,2] => [2,3,1] [1,2,2,1] => [2,2,2] [1,2,3] => [2,2,1,1] [1,3,1,1] => [2,1,3] [1,3,2] => [2,1,2,1] [1,4,1] => [2,1,1,2] [1,5] => [2,1,1,1,1] [2,1,1,1,1] => [1,5] [2,1,1,2] => [1,4,1] [2,1,2,1] => [1,3,2] [2,1,3] => [1,3,1,1] [2,2,1,1] => [1,2,3] [2,2,2] => [1,2,2,1] [2,3,1] => [1,2,1,2] [2,4] => [1,2,1,1,1] [3,1,1,1] => [1,1,4] [3,1,2] => [1,1,3,1] [3,2,1] => [1,1,2,2] [3,3] => [1,1,2,1,1] [4,1,1] => [1,1,1,3] [4,2] => [1,1,1,2,1] [5,1] => [1,1,1,1,2] [6] => [1,1,1,1,1,1] [1,1,1,1,1,1,1] => [7] [1,1,1,1,1,2] => [6,1] [1,1,1,1,2,1] => [5,2] [1,1,1,1,3] => [5,1,1] [1,1,1,2,1,1] => [4,3] [1,1,1,2,2] => [4,2,1] [1,1,1,3,1] => [4,1,2] [1,1,1,4] => [4,1,1,1] [1,1,2,1,1,1] => [3,4] [1,1,2,1,2] => [3,3,1] [1,1,2,2,1] => [3,2,2] [1,1,2,3] => [3,2,1,1] [1,1,3,1,1] => [3,1,3] [1,1,3,2] => [3,1,2,1] [1,1,4,1] => [3,1,1,2] [1,1,5] => [3,1,1,1,1] [1,2,1,1,1,1] => [2,5] [1,2,1,1,2] => [2,4,1] [1,2,1,2,1] => [2,3,2] [1,2,1,3] => [2,3,1,1] [1,2,2,1,1] => [2,2,3] [1,2,2,2] => [2,2,2,1] [1,2,3,1] => [2,2,1,2] [1,2,4] => [2,2,1,1,1] [1,3,1,1,1] => [2,1,4] [1,3,1,2] => [2,1,3,1] [1,3,2,1] => [2,1,2,2] [1,3,3] => [2,1,2,1,1] [1,4,1,1] => [2,1,1,3] [1,4,2] => [2,1,1,2,1] [1,5,1] => [2,1,1,1,2] [1,6] => [2,1,1,1,1,1] [2,1,1,1,1,1] => [1,6] [2,1,1,1,2] => [1,5,1] [2,1,1,2,1] => [1,4,2] [2,1,1,3] => [1,4,1,1] [2,1,2,1,1] => [1,3,3] [2,1,2,2] => [1,3,2,1] [2,1,3,1] => [1,3,1,2] [2,1,4] => [1,3,1,1,1] [2,2,1,1,1] => [1,2,4] [2,2,1,2] => [1,2,3,1] [2,2,2,1] => [1,2,2,2] [2,2,3] => [1,2,2,1,1] [2,3,1,1] => [1,2,1,3] [2,3,2] => [1,2,1,2,1] [2,4,1] => [1,2,1,1,2] [2,5] => [1,2,1,1,1,1] [3,1,1,1,1] => [1,1,5] [3,1,1,2] => [1,1,4,1] [3,1,2,1] => [1,1,3,2] [3,1,3] => [1,1,3,1,1] [3,2,1,1] => [1,1,2,3] [3,2,2] => [1,1,2,2,1] [3,3,1] => [1,1,2,1,2] [3,4] => [1,1,2,1,1,1] [4,1,1,1] => [1,1,1,4] [4,1,2] => [1,1,1,3,1] [4,2,1] => [1,1,1,2,2] [4,3] => [1,1,1,2,1,1] [5,1,1] => [1,1,1,1,3] [5,2] => [1,1,1,1,2,1] [6,1] => [1,1,1,1,1,2] [7] => [1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1] => [8] [1,1,1,1,1,1,2] => [7,1] [1,1,1,1,1,2,1] => [6,2] [1,1,1,1,1,3] => [6,1,1] [1,1,1,1,2,1,1] => [5,3] [1,1,1,1,2,2] => [5,2,1] [1,1,1,1,3,1] => [5,1,2] [1,1,1,1,4] => [5,1,1,1] [1,1,1,2,1,1,1] => [4,4] [1,1,1,2,1,2] => [4,3,1] [1,1,1,2,2,1] => [4,2,2] [1,1,1,2,3] => [4,2,1,1] [1,1,1,3,1,1] => [4,1,3] [1,1,1,3,2] => [4,1,2,1] [1,1,1,4,1] => [4,1,1,2] [1,1,1,5] => [4,1,1,1,1] [1,1,2,1,1,1,1] => [3,5] [1,1,2,1,1,2] => [3,4,1] [1,1,2,1,2,1] => [3,3,2] [1,1,2,1,3] => [3,3,1,1] [1,1,2,2,1,1] => [3,2,3] [1,1,2,2,2] => [3,2,2,1] [1,1,2,3,1] => [3,2,1,2] [1,1,2,4] => [3,2,1,1,1] [1,1,3,1,1,1] => [3,1,4] [1,1,3,1,2] => [3,1,3,1] [1,1,3,2,1] => [3,1,2,2] [1,1,3,3] => [3,1,2,1,1] [1,1,4,1,1] => [3,1,1,3] [1,1,4,2] => [3,1,1,2,1] [1,1,5,1] => [3,1,1,1,2] [1,1,6] => [3,1,1,1,1,1] [1,2,1,1,1,1,1] => [2,6] [1,2,1,1,1,2] => [2,5,1] [1,2,1,1,2,1] => [2,4,2] [1,2,1,1,3] => [2,4,1,1] [1,2,1,2,1,1] => [2,3,3] [1,2,1,2,2] => [2,3,2,1] [1,2,1,3,1] => [2,3,1,2] [1,2,1,4] => [2,3,1,1,1] [1,2,2,1,1,1] => [2,2,4] [1,2,2,1,2] => [2,2,3,1] [1,2,2,2,1] => [2,2,2,2] [1,2,2,3] => [2,2,2,1,1] [1,2,3,1,1] => [2,2,1,3] [1,2,3,2] => [2,2,1,2,1] [1,2,4,1] => [2,2,1,1,2] [1,2,5] => [2,2,1,1,1,1] [1,3,1,1,1,1] => [2,1,5] [1,3,1,1,2] => [2,1,4,1] [1,3,1,2,1] => [2,1,3,2] [1,3,1,3] => [2,1,3,1,1] [1,3,2,1,1] => [2,1,2,3] [1,3,2,2] => [2,1,2,2,1] [1,3,3,1] => [2,1,2,1,2] [1,3,4] => [2,1,2,1,1,1] [1,4,1,1,1] => [2,1,1,4] [1,4,1,2] => [2,1,1,3,1] [1,4,2,1] => [2,1,1,2,2] [1,4,3] => [2,1,1,2,1,1] [1,5,1,1] => [2,1,1,1,3] [1,5,2] => [2,1,1,1,2,1] [1,6,1] => [2,1,1,1,1,2] [1,7] => [2,1,1,1,1,1,1] [2,1,1,1,1,1,1] => [1,7] [2,1,1,1,1,2] => [1,6,1] [2,1,1,1,2,1] => [1,5,2] [2,1,1,1,3] => [1,5,1,1] [2,1,1,2,1,1] => [1,4,3] [2,1,1,2,2] => [1,4,2,1] [2,1,1,3,1] => [1,4,1,2] [2,1,1,4] => [1,4,1,1,1] [2,1,2,1,1,1] => [1,3,4] [2,1,2,1,2] => [1,3,3,1] [2,1,2,2,1] => [1,3,2,2] [2,1,2,3] => [1,3,2,1,1] [2,1,3,1,1] => [1,3,1,3] [2,1,3,2] => [1,3,1,2,1] [2,1,4,1] => [1,3,1,1,2] [2,1,5] => [1,3,1,1,1,1] [2,2,1,1,1,1] => [1,2,5] [2,2,1,1,2] => [1,2,4,1] [2,2,1,2,1] => [1,2,3,2] [2,2,1,3] => [1,2,3,1,1] [2,2,2,1,1] => [1,2,2,3] [2,2,2,2] => [1,2,2,2,1] [2,2,3,1] => [1,2,2,1,2] [2,2,4] => [1,2,2,1,1,1] [2,3,1,1,1] => [1,2,1,4] [2,3,1,2] => [1,2,1,3,1] [2,3,2,1] => [1,2,1,2,2] [2,3,3] => [1,2,1,2,1,1] [2,4,1,1] => [1,2,1,1,3] [2,4,2] => [1,2,1,1,2,1] [2,5,1] => [1,2,1,1,1,2] [2,6] => [1,2,1,1,1,1,1] [3,1,1,1,1,1] => [1,1,6] [3,1,1,1,2] => [1,1,5,1] [3,1,1,2,1] => [1,1,4,2] [3,1,1,3] => [1,1,4,1,1] [3,1,2,1,1] => [1,1,3,3] [3,1,2,2] => [1,1,3,2,1] [3,1,3,1] => [1,1,3,1,2] [3,1,4] => [1,1,3,1,1,1] [3,2,1,1,1] => [1,1,2,4] [3,2,1,2] => [1,1,2,3,1] [3,2,2,1] => [1,1,2,2,2] [3,2,3] => [1,1,2,2,1,1] [3,3,1,1] => [1,1,2,1,3] [3,3,2] => [1,1,2,1,2,1] [3,4,1] => [1,1,2,1,1,2] [3,5] => [1,1,2,1,1,1,1] [4,1,1,1,1] => [1,1,1,5] [4,1,1,2] => [1,1,1,4,1] [4,1,2,1] => [1,1,1,3,2] [4,1,3] => [1,1,1,3,1,1] [4,2,1,1] => [1,1,1,2,3] [4,2,2] => [1,1,1,2,2,1] [4,3,1] => [1,1,1,2,1,2] [4,4] => [1,1,1,2,1,1,1] [5,1,1,1] => [1,1,1,1,4] [5,1,2] => [1,1,1,1,3,1] [5,2,1] => [1,1,1,1,2,2] [5,3] => [1,1,1,1,2,1,1] [6,1,1] => [1,1,1,1,1,3] [6,2] => [1,1,1,1,1,2,1] [7,1] => [1,1,1,1,1,1,2] [8] => [1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1] => [9] [1,1,1,1,1,1,1,2] => [8,1] [1,1,1,1,1,1,2,1] => [7,2] [1,1,1,1,1,1,3] => [7,1,1] [1,1,1,1,1,2,1,1] => [6,3] [1,1,1,1,1,2,2] => [6,2,1] [1,1,1,1,1,3,1] => [6,1,2] [1,1,1,1,1,4] => [6,1,1,1] [1,1,1,1,2,1,1,1] => [5,4] [1,1,1,1,2,1,2] => [5,3,1] [1,1,1,1,2,2,1] => [5,2,2] [1,1,1,1,2,3] => [5,2,1,1] [1,1,1,1,3,1,1] => [5,1,3] [1,1,1,1,3,2] => [5,1,2,1] [1,1,1,1,4,1] => [5,1,1,2] [1,1,1,1,5] => [5,1,1,1,1] [1,1,1,2,1,1,1,1] => [4,5] [1,1,1,2,1,1,2] => [4,4,1] [1,1,1,2,1,2,1] => [4,3,2] [1,1,1,2,1,3] => [4,3,1,1] [1,1,1,2,2,1,1] => [4,2,3] [1,1,1,2,2,2] => [4,2,2,1] [1,1,1,2,3,1] => [4,2,1,2] [1,1,1,2,4] => [4,2,1,1,1] [1,1,1,3,1,1,1] => [4,1,4] [1,1,1,3,1,2] => [4,1,3,1] [1,1,1,3,2,1] => [4,1,2,2] [1,1,1,3,3] => [4,1,2,1,1] [1,1,1,4,1,1] => [4,1,1,3] [1,1,1,4,2] => [4,1,1,2,1] [1,1,1,5,1] => [4,1,1,1,2] [1,1,1,6] => [4,1,1,1,1,1] [1,1,2,1,1,1,1,1] => [3,6] [1,1,2,1,1,1,2] => [3,5,1] [1,1,2,1,1,2,1] => [3,4,2] [1,1,2,1,1,3] => [3,4,1,1] [1,1,2,1,2,1,1] => [3,3,3] [1,1,2,1,2,2] => [3,3,2,1] [1,1,2,1,3,1] => [3,3,1,2] [1,1,2,1,4] => [3,3,1,1,1] [1,1,2,2,1,1,1] => [3,2,4] [1,1,2,2,1,2] => [3,2,3,1] [1,1,2,2,2,1] => [3,2,2,2] [1,1,2,2,3] => [3,2,2,1,1] [1,1,2,3,1,1] => [3,2,1,3] [1,1,2,3,2] => [3,2,1,2,1] [1,1,2,4,1] => [3,2,1,1,2] [1,1,2,5] => [3,2,1,1,1,1] [1,1,3,1,1,1,1] => [3,1,5] [1,1,3,1,1,2] => [3,1,4,1] [1,1,3,1,2,1] => [3,1,3,2] [1,1,3,1,3] => [3,1,3,1,1] [1,1,3,2,1,1] => [3,1,2,3] [1,1,3,2,2] => [3,1,2,2,1] [1,1,3,3,1] => [3,1,2,1,2] [1,1,3,4] => [3,1,2,1,1,1] [1,1,4,1,1,1] => [3,1,1,4] [1,1,4,1,2] => [3,1,1,3,1] [1,1,4,2,1] => [3,1,1,2,2] [1,1,4,3] => [3,1,1,2,1,1] [1,1,5,1,1] => [3,1,1,1,3] [1,1,5,2] => [3,1,1,1,2,1] [1,1,6,1] => [3,1,1,1,1,2] [1,1,7] => [3,1,1,1,1,1,1] [1,2,1,1,1,1,1,1] => [2,7] [1,2,1,1,1,1,2] => [2,6,1] [1,2,1,1,1,2,1] => [2,5,2] [1,2,1,1,1,3] => [2,5,1,1] [1,2,1,1,2,1,1] => [2,4,3] [1,2,1,1,2,2] => [2,4,2,1] [1,2,1,1,3,1] => [2,4,1,2] [1,2,1,1,4] => [2,4,1,1,1] [1,2,1,2,1,1,1] => [2,3,4] [1,2,1,2,1,2] => [2,3,3,1] [1,2,1,2,2,1] => [2,3,2,2] [1,2,1,2,3] => [2,3,2,1,1] [1,2,1,3,1,1] => [2,3,1,3] [1,2,1,3,2] => [2,3,1,2,1] [1,2,1,4,1] => [2,3,1,1,2] [1,2,1,5] => [2,3,1,1,1,1] [1,2,2,1,1,1,1] => [2,2,5] [1,2,2,1,1,2] => [2,2,4,1] [1,2,2,1,2,1] => [2,2,3,2] [1,2,2,1,3] => [2,2,3,1,1] [1,2,2,2,1,1] => [2,2,2,3] [1,2,2,2,2] => [2,2,2,2,1] [1,2,2,3,1] => [2,2,2,1,2] [1,2,2,4] => [2,2,2,1,1,1] [1,2,3,1,1,1] => [2,2,1,4] [1,2,3,1,2] => [2,2,1,3,1] [1,2,3,2,1] => [2,2,1,2,2] [1,2,3,3] => [2,2,1,2,1,1] [1,2,4,1,1] => [2,2,1,1,3] [1,2,4,2] => [2,2,1,1,2,1] [1,2,5,1] => [2,2,1,1,1,2] [1,2,6] => [2,2,1,1,1,1,1] [1,3,1,1,1,1,1] => [2,1,6] [1,3,1,1,1,2] => [2,1,5,1] [1,3,1,1,2,1] => [2,1,4,2] [1,3,1,1,3] => [2,1,4,1,1] [1,3,1,2,1,1] => [2,1,3,3] [1,3,1,2,2] => [2,1,3,2,1] [1,3,1,3,1] => [2,1,3,1,2] [1,3,1,4] => [2,1,3,1,1,1] [1,3,2,1,1,1] => [2,1,2,4] [1,3,2,1,2] => [2,1,2,3,1] [1,3,2,2,1] => [2,1,2,2,2] [1,3,2,3] => [2,1,2,2,1,1] [1,3,3,1,1] => [2,1,2,1,3] [1,3,3,2] => [2,1,2,1,2,1] [1,3,4,1] => [2,1,2,1,1,2] [1,3,5] => [2,1,2,1,1,1,1] [1,4,1,1,1,1] => [2,1,1,5] [1,4,1,1,2] => [2,1,1,4,1] [1,4,1,2,1] => [2,1,1,3,2] [1,4,1,3] => [2,1,1,3,1,1] [1,4,2,1,1] => [2,1,1,2,3] [1,4,2,2] => [2,1,1,2,2,1] [1,4,3,1] => [2,1,1,2,1,2] [1,4,4] => [2,1,1,2,1,1,1] [1,5,1,1,1] => [2,1,1,1,4] [1,5,1,2] => [2,1,1,1,3,1] [1,5,2,1] => [2,1,1,1,2,2] [1,5,3] => [2,1,1,1,2,1,1] [1,6,1,1] => [2,1,1,1,1,3] [1,6,2] => [2,1,1,1,1,2,1] [1,7,1] => [2,1,1,1,1,1,2] [1,8] => [2,1,1,1,1,1,1,1] [2,1,1,1,1,1,1,1] => [1,8] [2,1,1,1,1,1,2] => [1,7,1] [2,1,1,1,1,2,1] => [1,6,2] [2,1,1,1,1,3] => [1,6,1,1] [2,1,1,1,2,1,1] => [1,5,3] [2,1,1,1,2,2] => [1,5,2,1] [2,1,1,1,3,1] => [1,5,1,2] [2,1,1,1,4] => [1,5,1,1,1] [2,1,1,2,1,1,1] => [1,4,4] [2,1,1,2,1,2] => [1,4,3,1] [2,1,1,2,2,1] => [1,4,2,2] [2,1,1,2,3] => [1,4,2,1,1] [2,1,1,3,1,1] => [1,4,1,3] [2,1,1,3,2] => [1,4,1,2,1] [2,1,1,4,1] => [1,4,1,1,2] [2,1,1,5] => [1,4,1,1,1,1] [2,1,2,1,1,1,1] => [1,3,5] [2,1,2,1,1,2] => [1,3,4,1] [2,1,2,1,2,1] => [1,3,3,2] [2,1,2,1,3] => [1,3,3,1,1] [2,1,2,2,1,1] => [1,3,2,3] [2,1,2,2,2] => [1,3,2,2,1] [2,1,2,3,1] => [1,3,2,1,2] [2,1,2,4] => [1,3,2,1,1,1] [2,1,3,1,1,1] => [1,3,1,4] [2,1,3,1,2] => [1,3,1,3,1] [2,1,3,2,1] => [1,3,1,2,2] [2,1,3,3] => [1,3,1,2,1,1] [2,1,4,1,1] => [1,3,1,1,3] [2,1,4,2] => [1,3,1,1,2,1] [2,1,5,1] => [1,3,1,1,1,2] [2,1,6] => [1,3,1,1,1,1,1] [2,2,1,1,1,1,1] => [1,2,6] [2,2,1,1,1,2] => [1,2,5,1] [2,2,1,1,2,1] => [1,2,4,2] [2,2,1,1,3] => [1,2,4,1,1] [2,2,1,2,1,1] => [1,2,3,3] [2,2,1,2,2] => [1,2,3,2,1] [2,2,1,3,1] => [1,2,3,1,2] [2,2,1,4] => [1,2,3,1,1,1] [2,2,2,1,1,1] => [1,2,2,4] [2,2,2,1,2] => [1,2,2,3,1] [2,2,2,2,1] => [1,2,2,2,2] [2,2,2,3] => [1,2,2,2,1,1] [2,2,3,1,1] => [1,2,2,1,3] [2,2,3,2] => [1,2,2,1,2,1] [2,2,4,1] => [1,2,2,1,1,2] [2,2,5] => [1,2,2,1,1,1,1] [2,3,1,1,1,1] => [1,2,1,5] [2,3,1,1,2] => [1,2,1,4,1] [2,3,1,2,1] => [1,2,1,3,2] [2,3,1,3] => [1,2,1,3,1,1] [2,3,2,1,1] => [1,2,1,2,3] [2,3,2,2] => [1,2,1,2,2,1] [2,3,3,1] => [1,2,1,2,1,2] [2,3,4] => [1,2,1,2,1,1,1] [2,4,1,1,1] => [1,2,1,1,4] [2,4,1,2] => [1,2,1,1,3,1] [2,4,2,1] => [1,2,1,1,2,2] [2,4,3] => [1,2,1,1,2,1,1] [2,5,1,1] => [1,2,1,1,1,3] [2,5,2] => [1,2,1,1,1,2,1] [2,6,1] => [1,2,1,1,1,1,2] [2,7] => [1,2,1,1,1,1,1,1] [3,1,1,1,1,1,1] => [1,1,7] [3,1,1,1,1,2] => [1,1,6,1] [3,1,1,1,2,1] => [1,1,5,2] [3,1,1,1,3] => [1,1,5,1,1] [3,1,1,2,1,1] => [1,1,4,3] [3,1,1,2,2] => [1,1,4,2,1] [3,1,1,3,1] => [1,1,4,1,2] [3,1,1,4] => [1,1,4,1,1,1] [3,1,2,1,1,1] => [1,1,3,4] [3,1,2,1,2] => [1,1,3,3,1] [3,1,2,2,1] => [1,1,3,2,2] [3,1,2,3] => [1,1,3,2,1,1] [3,1,3,1,1] => [1,1,3,1,3] [3,1,3,2] => [1,1,3,1,2,1] [3,1,4,1] => [1,1,3,1,1,2] [3,1,5] => [1,1,3,1,1,1,1] [3,2,1,1,1,1] => [1,1,2,5] [3,2,1,1,2] => [1,1,2,4,1] [3,2,1,2,1] => [1,1,2,3,2] [3,2,1,3] => [1,1,2,3,1,1] [3,2,2,1,1] => [1,1,2,2,3] [3,2,2,2] => [1,1,2,2,2,1] [3,2,3,1] => [1,1,2,2,1,2] [3,2,4] => [1,1,2,2,1,1,1] [3,3,1,1,1] => [1,1,2,1,4] [3,3,1,2] => [1,1,2,1,3,1] [3,3,2,1] => [1,1,2,1,2,2] [3,3,3] => [1,1,2,1,2,1,1] [3,4,1,1] => [1,1,2,1,1,3] [3,4,2] => [1,1,2,1,1,2,1] [3,5,1] => [1,1,2,1,1,1,2] [3,6] => [1,1,2,1,1,1,1,1] [4,1,1,1,1,1] => [1,1,1,6] [4,1,1,1,2] => [1,1,1,5,1] [4,1,1,2,1] => [1,1,1,4,2] [4,1,1,3] => [1,1,1,4,1,1] [4,1,2,1,1] => [1,1,1,3,3] [4,1,2,2] => [1,1,1,3,2,1] [4,1,3,1] => [1,1,1,3,1,2] [4,1,4] => [1,1,1,3,1,1,1] [4,2,1,1,1] => [1,1,1,2,4] [4,2,1,2] => [1,1,1,2,3,1] [4,2,2,1] => [1,1,1,2,2,2] [4,2,3] => [1,1,1,2,2,1,1] [4,3,1,1] => [1,1,1,2,1,3] [4,3,2] => [1,1,1,2,1,2,1] [4,4,1] => [1,1,1,2,1,1,2] [4,5] => [1,1,1,2,1,1,1,1] [5,1,1,1,1] => [1,1,1,1,5] [5,1,1,2] => [1,1,1,1,4,1] [5,1,2,1] => [1,1,1,1,3,2] [5,1,3] => [1,1,1,1,3,1,1] [5,2,1,1] => [1,1,1,1,2,3] [5,2,2] => [1,1,1,1,2,2,1] [5,3,1] => [1,1,1,1,2,1,2] [5,4] => [1,1,1,1,2,1,1,1] [6,1,1,1] => [1,1,1,1,1,4] [6,1,2] => [1,1,1,1,1,3,1] [6,2,1] => [1,1,1,1,1,2,2] [6,3] => [1,1,1,1,1,2,1,1] [7,1,1] => [1,1,1,1,1,1,3] [7,2] => [1,1,1,1,1,1,2,1] [8,1] => [1,1,1,1,1,1,1,2] [9] => [1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1] => [10] [1,1,1,1,1,1,1,1,2] => [9,1] [1,1,1,1,1,1,1,2,1] => [8,2] [1,1,1,1,1,1,1,3] => [8,1,1] [1,1,1,1,1,1,2,1,1] => [7,3] [1,1,1,1,1,1,2,2] => [7,2,1] [1,1,1,1,1,1,3,1] => [7,1,2] [1,1,1,1,1,1,4] => [7,1,1,1] [1,1,1,1,1,2,1,1,1] => [6,4] [1,1,1,1,1,2,1,2] => [6,3,1] [1,1,1,1,1,2,2,1] => [6,2,2] [1,1,1,1,1,2,3] => [6,2,1,1] [1,1,1,1,1,3,1,1] => [6,1,3] [1,1,1,1,1,3,2] => [6,1,2,1] [1,1,1,1,1,4,1] => [6,1,1,2] [1,1,1,1,1,5] => [6,1,1,1,1] [1,1,1,1,2,1,1,1,1] => [5,5] [1,1,1,1,2,1,1,2] => [5,4,1] [1,1,1,1,2,1,2,1] => [5,3,2] [1,1,1,1,2,1,3] => [5,3,1,1] [1,1,1,1,2,2,1,1] => [5,2,3] [1,1,1,1,2,2,2] => [5,2,2,1] [1,1,1,1,2,3,1] => [5,2,1,2] [1,1,1,1,2,4] => [5,2,1,1,1] [1,1,1,1,3,1,1,1] => [5,1,4] [1,1,1,1,3,1,2] => [5,1,3,1] [1,1,1,1,3,2,1] => [5,1,2,2] [1,1,1,1,3,3] => [5,1,2,1,1] [1,1,1,1,4,1,1] => [5,1,1,3] [1,1,1,1,4,2] => [5,1,1,2,1] [1,1,1,1,5,1] => [5,1,1,1,2] [1,1,1,1,6] => [5,1,1,1,1,1] [1,1,1,2,1,1,1,1,1] => [4,6] [1,1,1,2,1,1,1,2] => [4,5,1] [1,1,1,2,1,1,2,1] => [4,4,2] [1,1,1,2,1,1,3] => [4,4,1,1] [1,1,1,2,1,2,1,1] => [4,3,3] [1,1,1,2,1,2,2] => [4,3,2,1] [1,1,1,2,1,3,1] => [4,3,1,2] [1,1,1,2,1,4] => [4,3,1,1,1] [1,1,1,2,2,1,1,1] => [4,2,4] [1,1,1,2,2,1,2] => [4,2,3,1] [1,1,1,2,2,2,1] => [4,2,2,2] [1,1,1,2,2,3] => [4,2,2,1,1] [1,1,1,2,3,1,1] => [4,2,1,3] [1,1,1,2,3,2] => [4,2,1,2,1] [1,1,1,2,4,1] => [4,2,1,1,2] [1,1,1,2,5] => [4,2,1,1,1,1] [1,1,1,3,1,1,1,1] => [4,1,5] [1,1,1,3,1,1,2] => [4,1,4,1] [1,1,1,3,1,2,1] => [4,1,3,2] [1,1,1,3,1,3] => [4,1,3,1,1] [1,1,1,3,2,1,1] => [4,1,2,3] [1,1,1,3,2,2] => [4,1,2,2,1] [1,1,1,3,3,1] => [4,1,2,1,2] [1,1,1,3,4] => [4,1,2,1,1,1] [1,1,1,4,1,1,1] => [4,1,1,4] [1,1,1,4,1,2] => [4,1,1,3,1] [1,1,1,4,2,1] => [4,1,1,2,2] [1,1,1,4,3] => [4,1,1,2,1,1] [1,1,1,5,1,1] => [4,1,1,1,3] [1,1,1,5,2] => [4,1,1,1,2,1] [1,1,1,6,1] => [4,1,1,1,1,2] [1,1,1,7] => [4,1,1,1,1,1,1] [1,1,2,1,1,1,1,1,1] => [3,7] [1,1,2,1,1,1,1,2] => [3,6,1] [1,1,2,1,1,1,2,1] => [3,5,2] [1,1,2,1,1,1,3] => [3,5,1,1] [1,1,2,1,1,2,1,1] => [3,4,3] [1,1,2,1,1,2,2] => [3,4,2,1] [1,1,2,1,1,3,1] => [3,4,1,2] [1,1,2,1,1,4] => [3,4,1,1,1] [1,1,2,1,2,1,1,1] => [3,3,4] [1,1,2,1,2,1,2] => [3,3,3,1] [1,1,2,1,2,2,1] => [3,3,2,2] [1,1,2,1,2,3] => [3,3,2,1,1] [1,1,2,1,3,1,1] => [3,3,1,3] [1,1,2,1,3,2] => [3,3,1,2,1] [1,1,2,1,4,1] => [3,3,1,1,2] [1,1,2,1,5] => [3,3,1,1,1,1] [1,1,2,2,1,1,1,1] => [3,2,5] [1,1,2,2,1,1,2] => [3,2,4,1] [1,1,2,2,1,2,1] => [3,2,3,2] [1,1,2,2,1,3] => [3,2,3,1,1] [1,1,2,2,2,1,1] => [3,2,2,3] [1,1,2,2,2,2] => [3,2,2,2,1] [1,1,2,2,3,1] => [3,2,2,1,2] [1,1,2,2,4] => [3,2,2,1,1,1] [1,1,2,3,1,1,1] => [3,2,1,4] [1,1,2,3,1,2] => [3,2,1,3,1] [1,1,2,3,2,1] => [3,2,1,2,2] [1,1,2,3,3] => [3,2,1,2,1,1] [1,1,2,4,1,1] => [3,2,1,1,3] [1,1,2,4,2] => [3,2,1,1,2,1] [1,1,2,5,1] => [3,2,1,1,1,2] [1,1,2,6] => [3,2,1,1,1,1,1] [1,1,3,1,1,1,1,1] => [3,1,6] [1,1,3,1,1,1,2] => [3,1,5,1] [1,1,3,1,1,2,1] => [3,1,4,2] [1,1,3,1,1,3] => [3,1,4,1,1] [1,1,3,1,2,1,1] => [3,1,3,3] [1,1,3,1,2,2] => [3,1,3,2,1] [1,1,3,1,3,1] => [3,1,3,1,2] [1,1,3,1,4] => [3,1,3,1,1,1] [1,1,3,2,1,1,1] => [3,1,2,4] [1,1,3,2,1,2] => [3,1,2,3,1] [1,1,3,2,2,1] => [3,1,2,2,2] [1,1,3,2,3] => [3,1,2,2,1,1] [1,1,3,3,1,1] => [3,1,2,1,3] [1,1,3,3,2] => [3,1,2,1,2,1] [1,1,3,4,1] => [3,1,2,1,1,2] [1,1,3,5] => [3,1,2,1,1,1,1] [1,1,4,1,1,1,1] => [3,1,1,5] [1,1,4,1,1,2] => [3,1,1,4,1] [1,1,4,1,2,1] => [3,1,1,3,2] [1,1,4,1,3] => [3,1,1,3,1,1] [1,1,4,2,1,1] => [3,1,1,2,3] [1,1,4,2,2] => [3,1,1,2,2,1] [1,1,4,3,1] => [3,1,1,2,1,2] [1,1,4,4] => [3,1,1,2,1,1,1] [1,1,5,1,1,1] => [3,1,1,1,4] [1,1,5,1,2] => [3,1,1,1,3,1] [1,1,5,2,1] => [3,1,1,1,2,2] [1,1,5,3] => [3,1,1,1,2,1,1] [1,1,6,1,1] => [3,1,1,1,1,3] [1,1,6,2] => [3,1,1,1,1,2,1] [1,1,7,1] => [3,1,1,1,1,1,2] [1,1,8] => [3,1,1,1,1,1,1,1] [1,2,1,1,1,1,1,1,1] => [2,8] [1,2,1,1,1,1,1,2] => [2,7,1] [1,2,1,1,1,1,2,1] => [2,6,2] [1,2,1,1,1,1,3] => [2,6,1,1] [1,2,1,1,1,2,1,1] => [2,5,3] [1,2,1,1,1,2,2] => [2,5,2,1] [1,2,1,1,1,3,1] => [2,5,1,2] [1,2,1,1,1,4] => [2,5,1,1,1] [1,2,1,1,2,1,1,1] => [2,4,4] [1,2,1,1,2,1,2] => [2,4,3,1] [1,2,1,1,2,2,1] => [2,4,2,2] [1,2,1,1,2,3] => [2,4,2,1,1] [1,2,1,1,3,1,1] => [2,4,1,3] [1,2,1,1,3,2] => [2,4,1,2,1] [1,2,1,1,4,1] => [2,4,1,1,2] [1,2,1,1,5] => [2,4,1,1,1,1] [1,2,1,2,1,1,1,1] => [2,3,5] [1,2,1,2,1,1,2] => [2,3,4,1] [1,2,1,2,1,2,1] => [2,3,3,2] [1,2,1,2,1,3] => [2,3,3,1,1] [1,2,1,2,2,1,1] => [2,3,2,3] [1,2,1,2,2,2] => [2,3,2,2,1] [1,2,1,2,3,1] => [2,3,2,1,2] [1,2,1,2,4] => [2,3,2,1,1,1] [1,2,1,3,1,1,1] => [2,3,1,4] [1,2,1,3,1,2] => [2,3,1,3,1] [1,2,1,3,2,1] => [2,3,1,2,2] [1,2,1,3,3] => [2,3,1,2,1,1] [1,2,1,4,1,1] => [2,3,1,1,3] [1,2,1,4,2] => [2,3,1,1,2,1] [1,2,1,5,1] => [2,3,1,1,1,2] [1,2,1,6] => [2,3,1,1,1,1,1] [1,2,2,1,1,1,1,1] => [2,2,6] [1,2,2,1,1,1,2] => [2,2,5,1] [1,2,2,1,1,2,1] => [2,2,4,2] [1,2,2,1,1,3] => [2,2,4,1,1] [1,2,2,1,2,1,1] => [2,2,3,3] [1,2,2,1,2,2] => [2,2,3,2,1] [1,2,2,1,3,1] => [2,2,3,1,2] [1,2,2,1,4] => [2,2,3,1,1,1] [1,2,2,2,1,1,1] => [2,2,2,4] [1,2,2,2,1,2] => [2,2,2,3,1] [1,2,2,2,2,1] => [2,2,2,2,2] [1,2,2,2,3] => [2,2,2,2,1,1] [1,2,2,3,1,1] => [2,2,2,1,3] [1,2,2,3,2] => [2,2,2,1,2,1] [1,2,2,4,1] => [2,2,2,1,1,2] [1,2,2,5] => [2,2,2,1,1,1,1] [1,2,3,1,1,1,1] => [2,2,1,5] [1,2,3,1,1,2] => [2,2,1,4,1] [1,2,3,1,2,1] => [2,2,1,3,2] [1,2,3,1,3] => [2,2,1,3,1,1] [1,2,3,2,1,1] => [2,2,1,2,3] [1,2,3,2,2] => [2,2,1,2,2,1] [1,2,3,3,1] => [2,2,1,2,1,2] [1,2,3,4] => [2,2,1,2,1,1,1] [1,2,4,1,1,1] => [2,2,1,1,4] [1,2,4,1,2] => [2,2,1,1,3,1] [1,2,4,2,1] => [2,2,1,1,2,2] [1,2,4,3] => [2,2,1,1,2,1,1] [1,2,5,1,1] => [2,2,1,1,1,3] [1,2,5,2] => [2,2,1,1,1,2,1] [1,2,6,1] => [2,2,1,1,1,1,2] [1,2,7] => [2,2,1,1,1,1,1,1] [1,3,1,1,1,1,1,1] => [2,1,7] [1,3,1,1,1,1,2] => [2,1,6,1] [1,3,1,1,1,2,1] => [2,1,5,2] [1,3,1,1,1,3] => [2,1,5,1,1] [1,3,1,1,2,1,1] => [2,1,4,3] [1,3,1,1,2,2] => [2,1,4,2,1] [1,3,1,1,3,1] => [2,1,4,1,2] [1,3,1,1,4] => [2,1,4,1,1,1] [1,3,1,2,1,1,1] => [2,1,3,4] [1,3,1,2,1,2] => [2,1,3,3,1] [1,3,1,2,2,1] => [2,1,3,2,2] [1,3,1,2,3] => [2,1,3,2,1,1] [1,3,1,3,1,1] => [2,1,3,1,3] [1,3,1,3,2] => [2,1,3,1,2,1] [1,3,1,4,1] => [2,1,3,1,1,2] [1,3,1,5] => [2,1,3,1,1,1,1] [1,3,2,1,1,1,1] => [2,1,2,5] [1,3,2,1,1,2] => [2,1,2,4,1] [1,3,2,1,2,1] => [2,1,2,3,2] [1,3,2,1,3] => [2,1,2,3,1,1] [1,3,2,2,1,1] => [2,1,2,2,3] [1,3,2,2,2] => [2,1,2,2,2,1] [1,3,2,3,1] => [2,1,2,2,1,2] [1,3,2,4] => [2,1,2,2,1,1,1] [1,3,3,1,1,1] => [2,1,2,1,4] [1,3,3,1,2] => [2,1,2,1,3,1] [1,3,3,2,1] => [2,1,2,1,2,2] [1,3,3,3] => [2,1,2,1,2,1,1] [1,3,4,1,1] => [2,1,2,1,1,3] [1,3,4,2] => [2,1,2,1,1,2,1] [1,3,5,1] => [2,1,2,1,1,1,2] [1,3,6] => [2,1,2,1,1,1,1,1] [1,4,1,1,1,1,1] => [2,1,1,6] [1,4,1,1,1,2] => [2,1,1,5,1] [1,4,1,1,2,1] => [2,1,1,4,2] [1,4,1,1,3] => [2,1,1,4,1,1] [1,4,1,2,1,1] => [2,1,1,3,3] [1,4,1,2,2] => [2,1,1,3,2,1] [1,4,1,3,1] => [2,1,1,3,1,2] [1,4,1,4] => [2,1,1,3,1,1,1] [1,4,2,1,1,1] => [2,1,1,2,4] [1,4,2,1,2] => [2,1,1,2,3,1] [1,4,2,2,1] => [2,1,1,2,2,2] [1,4,2,3] => [2,1,1,2,2,1,1] [1,4,3,1,1] => [2,1,1,2,1,3] [1,4,3,2] => [2,1,1,2,1,2,1] [1,4,4,1] => [2,1,1,2,1,1,2] [1,4,5] => [2,1,1,2,1,1,1,1] [1,5,1,1,1,1] => [2,1,1,1,5] [1,5,1,1,2] => [2,1,1,1,4,1] [1,5,1,2,1] => [2,1,1,1,3,2] [1,5,1,3] => [2,1,1,1,3,1,1] [1,5,2,1,1] => [2,1,1,1,2,3] [1,5,2,2] => [2,1,1,1,2,2,1] [1,5,3,1] => [2,1,1,1,2,1,2] [1,5,4] => [2,1,1,1,2,1,1,1] [1,6,1,1,1] => [2,1,1,1,1,4] [1,6,1,2] => [2,1,1,1,1,3,1] [1,6,2,1] => [2,1,1,1,1,2,2] [1,6,3] => [2,1,1,1,1,2,1,1] [1,7,1,1] => [2,1,1,1,1,1,3] [1,7,2] => [2,1,1,1,1,1,2,1] [1,8,1] => [2,1,1,1,1,1,1,2] [1,9] => [2,1,1,1,1,1,1,1,1] [2,1,1,1,1,1,1,1,1] => [1,9] [2,1,1,1,1,1,1,2] => [1,8,1] [2,1,1,1,1,1,2,1] => [1,7,2] [2,1,1,1,1,1,3] => [1,7,1,1] [2,1,1,1,1,2,1,1] => [1,6,3] [2,1,1,1,1,2,2] => [1,6,2,1] [2,1,1,1,1,3,1] => [1,6,1,2] [2,1,1,1,1,4] => [1,6,1,1,1] [2,1,1,1,2,1,1,1] => [1,5,4] [2,1,1,1,2,1,2] => [1,5,3,1] [2,1,1,1,2,2,1] => [1,5,2,2] [2,1,1,1,2,3] => [1,5,2,1,1] [2,1,1,1,3,1,1] => [1,5,1,3] [2,1,1,1,3,2] => [1,5,1,2,1] [2,1,1,1,4,1] => [1,5,1,1,2] [2,1,1,1,5] => [1,5,1,1,1,1] [2,1,1,2,1,1,1,1] => [1,4,5] [2,1,1,2,1,1,2] => [1,4,4,1] [2,1,1,2,1,2,1] => [1,4,3,2] [2,1,1,2,1,3] => [1,4,3,1,1] [2,1,1,2,2,1,1] => [1,4,2,3] [2,1,1,2,2,2] => [1,4,2,2,1] [2,1,1,2,3,1] => [1,4,2,1,2] [2,1,1,2,4] => [1,4,2,1,1,1] [2,1,1,3,1,1,1] => [1,4,1,4] [2,1,1,3,1,2] => [1,4,1,3,1] [2,1,1,3,2,1] => [1,4,1,2,2] [2,1,1,3,3] => [1,4,1,2,1,1] [2,1,1,4,1,1] => [1,4,1,1,3] [2,1,1,4,2] => [1,4,1,1,2,1] [2,1,1,5,1] => [1,4,1,1,1,2] [2,1,1,6] => [1,4,1,1,1,1,1] [2,1,2,1,1,1,1,1] => [1,3,6] [2,1,2,1,1,1,2] => [1,3,5,1] [2,1,2,1,1,2,1] => [1,3,4,2] [2,1,2,1,1,3] => [1,3,4,1,1] [2,1,2,1,2,1,1] => [1,3,3,3] [2,1,2,1,2,2] => [1,3,3,2,1] [2,1,2,1,3,1] => [1,3,3,1,2] [2,1,2,1,4] => [1,3,3,1,1,1] [2,1,2,2,1,1,1] => [1,3,2,4] [2,1,2,2,1,2] => [1,3,2,3,1] [2,1,2,2,2,1] => [1,3,2,2,2] [2,1,2,2,3] => [1,3,2,2,1,1] [2,1,2,3,1,1] => [1,3,2,1,3] [2,1,2,3,2] => [1,3,2,1,2,1] [2,1,2,4,1] => [1,3,2,1,1,2] [2,1,2,5] => [1,3,2,1,1,1,1] [2,1,3,1,1,1,1] => [1,3,1,5] [2,1,3,1,1,2] => [1,3,1,4,1] [2,1,3,1,2,1] => [1,3,1,3,2] [2,1,3,1,3] => [1,3,1,3,1,1] [2,1,3,2,1,1] => [1,3,1,2,3] [2,1,3,2,2] => [1,3,1,2,2,1] [2,1,3,3,1] => [1,3,1,2,1,2] [2,1,3,4] => [1,3,1,2,1,1,1] [2,1,4,1,1,1] => [1,3,1,1,4] [2,1,4,1,2] => [1,3,1,1,3,1] [2,1,4,2,1] => [1,3,1,1,2,2] [2,1,4,3] => [1,3,1,1,2,1,1] [2,1,5,1,1] => [1,3,1,1,1,3] [2,1,5,2] => [1,3,1,1,1,2,1] [2,1,6,1] => [1,3,1,1,1,1,2] [2,1,7] => [1,3,1,1,1,1,1,1] [2,2,1,1,1,1,1,1] => [1,2,7] [2,2,1,1,1,1,2] => [1,2,6,1] [2,2,1,1,1,2,1] => [1,2,5,2] [2,2,1,1,1,3] => [1,2,5,1,1] [2,2,1,1,2,1,1] => [1,2,4,3] [2,2,1,1,2,2] => [1,2,4,2,1] [2,2,1,1,3,1] => [1,2,4,1,2] [2,2,1,1,4] => [1,2,4,1,1,1] [2,2,1,2,1,1,1] => [1,2,3,4] [2,2,1,2,1,2] => [1,2,3,3,1] [2,2,1,2,2,1] => [1,2,3,2,2] [2,2,1,2,3] => [1,2,3,2,1,1] [2,2,1,3,1,1] => [1,2,3,1,3] [2,2,1,3,2] => [1,2,3,1,2,1] [2,2,1,4,1] => [1,2,3,1,1,2] [2,2,1,5] => [1,2,3,1,1,1,1] [2,2,2,1,1,1,1] => [1,2,2,5] [2,2,2,1,1,2] => [1,2,2,4,1] [2,2,2,1,2,1] => [1,2,2,3,2] [2,2,2,1,3] => [1,2,2,3,1,1] [2,2,2,2,1,1] => [1,2,2,2,3] [2,2,2,2,2] => [1,2,2,2,2,1] [2,2,2,3,1] => [1,2,2,2,1,2] [2,2,2,4] => [1,2,2,2,1,1,1] [2,2,3,1,1,1] => [1,2,2,1,4] [2,2,3,1,2] => [1,2,2,1,3,1] [2,2,3,2,1] => [1,2,2,1,2,2] [2,2,3,3] => [1,2,2,1,2,1,1] [2,2,4,1,1] => [1,2,2,1,1,3] [2,2,4,2] => [1,2,2,1,1,2,1] [2,2,5,1] => [1,2,2,1,1,1,2] [2,2,6] => [1,2,2,1,1,1,1,1] [2,3,1,1,1,1,1] => [1,2,1,6] [2,3,1,1,1,2] => [1,2,1,5,1] [2,3,1,1,2,1] => [1,2,1,4,2] [2,3,1,1,3] => [1,2,1,4,1,1] [2,3,1,2,1,1] => [1,2,1,3,3] [2,3,1,2,2] => [1,2,1,3,2,1] [2,3,1,3,1] => [1,2,1,3,1,2] [2,3,1,4] => [1,2,1,3,1,1,1] [2,3,2,1,1,1] => [1,2,1,2,4] [2,3,2,1,2] => [1,2,1,2,3,1] [2,3,2,2,1] => [1,2,1,2,2,2] [2,3,2,3] => [1,2,1,2,2,1,1] [2,3,3,1,1] => [1,2,1,2,1,3] [2,3,3,2] => [1,2,1,2,1,2,1] [2,3,4,1] => [1,2,1,2,1,1,2] [2,3,5] => [1,2,1,2,1,1,1,1] [2,4,1,1,1,1] => [1,2,1,1,5] [2,4,1,1,2] => [1,2,1,1,4,1] [2,4,1,2,1] => [1,2,1,1,3,2] [2,4,1,3] => [1,2,1,1,3,1,1] [2,4,2,1,1] => [1,2,1,1,2,3] [2,4,2,2] => [1,2,1,1,2,2,1] [2,4,3,1] => [1,2,1,1,2,1,2] [2,4,4] => [1,2,1,1,2,1,1,1] [2,5,1,1,1] => [1,2,1,1,1,4] [2,5,1,2] => [1,2,1,1,1,3,1] [2,5,2,1] => [1,2,1,1,1,2,2] [2,5,3] => [1,2,1,1,1,2,1,1] [2,6,1,1] => [1,2,1,1,1,1,3] [2,6,2] => [1,2,1,1,1,1,2,1] [2,7,1] => [1,2,1,1,1,1,1,2] [2,8] => [1,2,1,1,1,1,1,1,1] [3,1,1,1,1,1,1,1] => [1,1,8] [3,1,1,1,1,1,2] => [1,1,7,1] [3,1,1,1,1,2,1] => [1,1,6,2] [3,1,1,1,1,3] => [1,1,6,1,1] [3,1,1,1,2,1,1] => [1,1,5,3] [3,1,1,1,2,2] => [1,1,5,2,1] [3,1,1,1,3,1] => [1,1,5,1,2] [3,1,1,1,4] => [1,1,5,1,1,1] [3,1,1,2,1,1,1] => [1,1,4,4] [3,1,1,2,1,2] => [1,1,4,3,1] [3,1,1,2,2,1] => [1,1,4,2,2] [3,1,1,2,3] => [1,1,4,2,1,1] [3,1,1,3,1,1] => [1,1,4,1,3] [3,1,1,3,2] => [1,1,4,1,2,1] [3,1,1,4,1] => [1,1,4,1,1,2] [3,1,1,5] => [1,1,4,1,1,1,1] [3,1,2,1,1,1,1] => [1,1,3,5] [3,1,2,1,1,2] => [1,1,3,4,1] [3,1,2,1,2,1] => [1,1,3,3,2] [3,1,2,1,3] => [1,1,3,3,1,1] [3,1,2,2,1,1] => [1,1,3,2,3] [3,1,2,2,2] => [1,1,3,2,2,1] [3,1,2,3,1] => [1,1,3,2,1,2] [3,1,2,4] => [1,1,3,2,1,1,1] [3,1,3,1,1,1] => [1,1,3,1,4] [3,1,3,1,2] => [1,1,3,1,3,1] [3,1,3,2,1] => [1,1,3,1,2,2] [3,1,3,3] => [1,1,3,1,2,1,1] [3,1,4,1,1] => [1,1,3,1,1,3] [3,1,4,2] => [1,1,3,1,1,2,1] [3,1,5,1] => [1,1,3,1,1,1,2] [3,1,6] => [1,1,3,1,1,1,1,1] [3,2,1,1,1,1,1] => [1,1,2,6] [3,2,1,1,1,2] => [1,1,2,5,1] [3,2,1,1,2,1] => [1,1,2,4,2] [3,2,1,1,3] => [1,1,2,4,1,1] [3,2,1,2,1,1] => [1,1,2,3,3] [3,2,1,2,2] => [1,1,2,3,2,1] [3,2,1,3,1] => [1,1,2,3,1,2] [3,2,1,4] => [1,1,2,3,1,1,1] [3,2,2,1,1,1] => [1,1,2,2,4] [3,2,2,1,2] => [1,1,2,2,3,1] [3,2,2,2,1] => [1,1,2,2,2,2] [3,2,2,3] => [1,1,2,2,2,1,1] [3,2,3,1,1] => [1,1,2,2,1,3] [3,2,3,2] => [1,1,2,2,1,2,1] [3,2,4,1] => [1,1,2,2,1,1,2] [3,2,5] => [1,1,2,2,1,1,1,1] [3,3,1,1,1,1] => [1,1,2,1,5] [3,3,1,1,2] => [1,1,2,1,4,1] [3,3,1,2,1] => [1,1,2,1,3,2] [3,3,1,3] => [1,1,2,1,3,1,1] [3,3,2,1,1] => [1,1,2,1,2,3] [3,3,2,2] => [1,1,2,1,2,2,1] [3,3,3,1] => [1,1,2,1,2,1,2] [3,3,4] => [1,1,2,1,2,1,1,1] [3,4,1,1,1] => [1,1,2,1,1,4] [3,4,1,2] => [1,1,2,1,1,3,1] [3,4,2,1] => [1,1,2,1,1,2,2] [3,4,3] => [1,1,2,1,1,2,1,1] [3,5,1,1] => [1,1,2,1,1,1,3] [3,5,2] => [1,1,2,1,1,1,2,1] [3,6,1] => [1,1,2,1,1,1,1,2] [3,7] => [1,1,2,1,1,1,1,1,1] [4,1,1,1,1,1,1] => [1,1,1,7] [4,1,1,1,1,2] => [1,1,1,6,1] [4,1,1,1,2,1] => [1,1,1,5,2] [4,1,1,1,3] => [1,1,1,5,1,1] [4,1,1,2,1,1] => [1,1,1,4,3] [4,1,1,2,2] => [1,1,1,4,2,1] [4,1,1,3,1] => [1,1,1,4,1,2] [4,1,1,4] => [1,1,1,4,1,1,1] [4,1,2,1,1,1] => [1,1,1,3,4] [4,1,2,1,2] => [1,1,1,3,3,1] [4,1,2,2,1] => [1,1,1,3,2,2] [4,1,2,3] => [1,1,1,3,2,1,1] [4,1,3,1,1] => [1,1,1,3,1,3] [4,1,3,2] => [1,1,1,3,1,2,1] [4,1,4,1] => [1,1,1,3,1,1,2] [4,1,5] => [1,1,1,3,1,1,1,1] [4,2,1,1,1,1] => [1,1,1,2,5] [4,2,1,1,2] => [1,1,1,2,4,1] [4,2,1,2,1] => [1,1,1,2,3,2] [4,2,1,3] => [1,1,1,2,3,1,1] [4,2,2,1,1] => [1,1,1,2,2,3] [4,2,2,2] => [1,1,1,2,2,2,1] [4,2,3,1] => [1,1,1,2,2,1,2] [4,2,4] => [1,1,1,2,2,1,1,1] [4,3,1,1,1] => [1,1,1,2,1,4] [4,3,1,2] => [1,1,1,2,1,3,1] [4,3,2,1] => [1,1,1,2,1,2,2] [4,3,3] => [1,1,1,2,1,2,1,1] [4,4,1,1] => [1,1,1,2,1,1,3] [4,4,2] => [1,1,1,2,1,1,2,1] [4,5,1] => [1,1,1,2,1,1,1,2] [4,6] => [1,1,1,2,1,1,1,1,1] [5,1,1,1,1,1] => [1,1,1,1,6] [5,1,1,1,2] => [1,1,1,1,5,1] [5,1,1,2,1] => [1,1,1,1,4,2] [5,1,1,3] => [1,1,1,1,4,1,1] [5,1,2,1,1] => [1,1,1,1,3,3] [5,1,2,2] => [1,1,1,1,3,2,1] [5,1,3,1] => [1,1,1,1,3,1,2] [5,1,4] => [1,1,1,1,3,1,1,1] [5,2,1,1,1] => [1,1,1,1,2,4] [5,2,1,2] => [1,1,1,1,2,3,1] [5,2,2,1] => [1,1,1,1,2,2,2] [5,2,3] => [1,1,1,1,2,2,1,1] [5,3,1,1] => [1,1,1,1,2,1,3] [5,3,2] => [1,1,1,1,2,1,2,1] [5,4,1] => [1,1,1,1,2,1,1,2] [5,5] => [1,1,1,1,2,1,1,1,1] [6,1,1,1,1] => [1,1,1,1,1,5] [6,1,1,2] => [1,1,1,1,1,4,1] [6,1,2,1] => [1,1,1,1,1,3,2] [6,1,3] => [1,1,1,1,1,3,1,1] [6,2,1,1] => [1,1,1,1,1,2,3] [6,2,2] => [1,1,1,1,1,2,2,1] [6,3,1] => [1,1,1,1,1,2,1,2] [6,4] => [1,1,1,1,1,2,1,1,1] [7,1,1,1] => [1,1,1,1,1,1,4] [7,1,2] => [1,1,1,1,1,1,3,1] [7,2,1] => [1,1,1,1,1,1,2,2] [7,3] => [1,1,1,1,1,1,2,1,1] [8,1,1] => [1,1,1,1,1,1,1,3] [8,2] => [1,1,1,1,1,1,1,2,1] [9,1] => [1,1,1,1,1,1,1,1,2] [10] => [1,1,1,1,1,1,1,1,1,1] [1,10] => [2,1,1,1,1,1,1,1,1,1] [1,8,1,1] => [2,1,1,1,1,1,1,3] [1,7,2,1] => [2,1,1,1,1,1,2,2] [1,6,3,1] => [2,1,1,1,1,2,1,2] [1,5,4,1] => [2,1,1,1,2,1,1,2] [1,4,5,1] => [2,1,1,2,1,1,1,2] [1,3,6,1] => [2,1,2,1,1,1,1,2] [1,2,7,1] => [2,2,1,1,1,1,1,2] [1,1,8,1] => [3,1,1,1,1,1,1,2] [10,1] => [1,1,1,1,1,1,1,1,1,2] [1,1,1,1,1,1,1,1,1,1,1,1] => [12] [1,1,1,1,1,1,1,1,2,2] => [9,2,1] [1,1,1,1,1,1,2,2,1,1] => [7,2,3] [1,1,1,1,1,1,2,1,1,2] => [7,4,1] [1,1,1,1,1,1,3,3] => [7,1,2,1,1] [1,1,1,1,2,2,1,1,1,1] => [5,2,5] [1,1,1,1,2,2,2,2] => [5,2,2,2,1] [1,1,1,1,2,1,1,2,1,1] => [5,4,3] [1,1,1,1,2,1,1,1,1,2] => [5,6,1] [1,1,1,1,2,1,2,3] => [5,3,2,1,1] [1,1,1,1,3,3,1,1] => [5,1,2,1,3] [1,1,1,1,3,2,1,2] => [5,1,2,3,1] [1,1,1,1,3,1,1,3] => [5,1,4,1,1] [1,1,1,1,4,4] => [5,1,1,2,1,1,1] [1,1,2,2,1,1,1,1,1,1] => [3,2,7] [1,1,2,2,1,1,2,2] => [3,2,4,2,1] [1,1,2,2,2,2,1,1] => [3,2,2,2,3] [1,1,2,2,2,1,1,2] => [3,2,2,4,1] [1,1,2,2,3,3] => [3,2,2,1,2,1,1] [1,1,2,1,1,2,1,1,1,1] => [3,4,5] [1,1,2,1,1,2,2,2] => [3,4,2,2,1] [1,1,2,1,1,1,1,2,1,1] => [3,6,3] [1,1,2,1,1,1,1,1,1,2] => [3,8,1] [1,1,2,1,1,1,2,3] => [3,5,2,1,1] [1,1,2,1,2,3,1,1] => [3,3,2,1,3] [1,1,2,1,2,2,1,2] => [3,3,2,3,1] [1,1,2,1,2,1,1,3] => [3,3,4,1,1] [1,1,2,1,3,4] => [3,3,1,2,1,1,1] [1,1,3,3,1,1,1,1] => [3,1,2,1,5] [1,1,3,3,2,2] => [3,1,2,1,2,2,1] [1,1,3,2,1,2,1,1] => [3,1,2,3,3] [1,1,3,2,1,1,1,2] => [3,1,2,5,1] [1,1,3,2,2,3] => [3,1,2,2,2,1,1] [1,1,3,1,1,3,1,1] => [3,1,4,1,3] [1,1,3,1,1,2,1,2] => [3,1,4,3,1] [1,1,3,1,1,1,1,3] => [3,1,6,1,1] [1,1,3,1,2,4] => [3,1,3,2,1,1,1] [1,1,4,4,1,1] => [3,1,1,2,1,1,3] [1,1,4,3,1,2] => [3,1,1,2,1,3,1] [1,1,4,2,1,3] => [3,1,1,2,3,1,1] [1,1,4,1,1,4] => [3,1,1,4,1,1,1] [1,1,5,5] => [3,1,1,1,2,1,1,1,1] [2,2,1,1,1,1,1,1,1,1] => [1,2,9] [2,2,1,1,1,1,2,2] => [1,2,6,2,1] [2,2,1,1,2,2,1,1] => [1,2,4,2,3] [2,2,1,1,2,1,1,2] => [1,2,4,4,1] [2,2,1,1,3,3] => [1,2,4,1,2,1,1] [2,2,2,2,1,1,1,1] => [1,2,2,2,5] [2,2,2,2,2,2] => [1,2,2,2,2,2,1] [2,2,2,1,1,2,1,1] => [1,2,2,4,3] [2,2,2,1,1,1,1,2] => [1,2,2,6,1] [2,2,2,1,2,3] => [1,2,2,3,2,1,1] [2,2,3,3,1,1] => [1,2,2,1,2,1,3] [2,2,3,2,1,2] => [1,2,2,1,2,3,1] [2,2,3,1,1,3] => [1,2,2,1,4,1,1] [2,2,4,4] => [1,2,2,1,1,2,1,1,1] [2,1,1,2,1,1,1,1,1,1] => [1,4,7] [2,1,1,2,1,1,2,2] => [1,4,4,2,1] [2,1,1,2,2,2,1,1] => [1,4,2,2,3] [2,1,1,2,2,1,1,2] => [1,4,2,4,1] [2,1,1,2,3,3] => [1,4,2,1,2,1,1] [2,1,1,1,1,2,1,1,1,1] => [1,6,5] [2,1,1,1,1,2,2,2] => [1,6,2,2,1] [2,1,1,1,1,1,1,2,1,1] => [1,8,3] [2,1,1,1,1,1,1,1,1,2] => [1,10,1] [2,1,1,1,1,1,2,3] => [1,7,2,1,1] [2,1,1,1,2,3,1,1] => [1,5,2,1,3] [2,1,1,1,2,2,1,2] => [1,5,2,3,1] [2,1,1,1,2,1,1,3] => [1,5,4,1,1] [2,1,1,1,3,4] => [1,5,1,2,1,1,1] [2,1,2,3,1,1,1,1] => [1,3,2,1,5] [2,1,2,3,2,2] => [1,3,2,1,2,2,1] [2,1,2,2,1,2,1,1] => [1,3,2,3,3] [2,1,2,2,1,1,1,2] => [1,3,2,5,1] [2,1,2,2,2,3] => [1,3,2,2,2,1,1] [2,1,2,1,1,3,1,1] => [1,3,4,1,3] [2,1,2,1,1,2,1,2] => [1,3,4,3,1] [2,1,2,1,1,1,1,3] => [1,3,6,1,1] [2,1,2,1,2,4] => [1,3,3,2,1,1,1] [2,1,3,4,1,1] => [1,3,1,2,1,1,3] [2,1,3,3,1,2] => [1,3,1,2,1,3,1] [2,1,3,2,1,3] => [1,3,1,2,3,1,1] [2,1,3,1,1,4] => [1,3,1,4,1,1,1] [2,1,4,5] => [1,3,1,1,2,1,1,1,1] [3,3,1,1,1,1,1,1] => [1,1,2,1,7] [3,3,1,1,2,2] => [1,1,2,1,4,2,1] [3,3,2,2,1,1] => [1,1,2,1,2,2,3] [3,3,2,1,1,2] => [1,1,2,1,2,4,1] [3,3,3,3] => [1,1,2,1,2,1,2,1,1] [3,2,1,2,1,1,1,1] => [1,1,2,3,5] [3,2,1,2,2,2] => [1,1,2,3,2,2,1] [3,2,1,1,1,2,1,1] => [1,1,2,5,3] [3,2,1,1,1,1,1,2] => [1,1,2,7,1] [3,2,1,1,2,3] => [1,1,2,4,2,1,1] [3,2,2,3,1,1] => [1,1,2,2,2,1,3] [3,2,2,2,1,2] => [1,1,2,2,2,3,1] [3,2,2,1,1,3] => [1,1,2,2,4,1,1] [3,2,3,4] => [1,1,2,2,1,2,1,1,1] [3,1,1,3,1,1,1,1] => [1,1,4,1,5] [3,1,1,3,2,2] => [1,1,4,1,2,2,1] [3,1,1,2,1,2,1,1] => [1,1,4,3,3] [3,1,1,2,1,1,1,2] => [1,1,4,5,1] [3,1,1,2,2,3] => [1,1,4,2,2,1,1] [3,1,1,1,1,3,1,1] => [1,1,6,1,3] [3,1,1,1,1,2,1,2] => [1,1,6,3,1] [3,1,1,1,1,1,1,3] => [1,1,8,1,1] [3,1,1,1,2,4] => [1,1,5,2,1,1,1] [3,1,2,4,1,1] => [1,1,3,2,1,1,3] [3,1,2,3,1,2] => [1,1,3,2,1,3,1] [3,1,2,2,1,3] => [1,1,3,2,3,1,1] [3,1,2,1,1,4] => [1,1,3,4,1,1,1] [3,1,3,5] => [1,1,3,1,2,1,1,1,1] [4,4,1,1,1,1] => [1,1,1,2,1,1,5] [4,4,2,2] => [1,1,1,2,1,1,2,2,1] [4,3,1,2,1,1] => [1,1,1,2,1,3,3] [4,3,1,1,1,2] => [1,1,1,2,1,5,1] [4,3,2,3] => [1,1,1,2,1,2,2,1,1] [4,2,1,3,1,1] => [1,1,1,2,3,1,3] [4,2,1,2,1,2] => [1,1,1,2,3,3,1] [4,2,1,1,1,3] => [1,1,1,2,5,1,1] [4,2,2,4] => [1,1,1,2,2,2,1,1,1] [4,1,1,4,1,1] => [1,1,1,4,1,1,3] [4,1,1,3,1,2] => [1,1,1,4,1,3,1] [4,1,1,2,1,3] => [1,1,1,4,3,1,1] [4,1,1,1,1,4] => [1,1,1,6,1,1,1] [4,1,2,5] => [1,1,1,3,2,1,1,1,1] [5,5,1,1] => [1,1,1,1,2,1,1,1,3] [5,4,1,2] => [1,1,1,1,2,1,1,3,1] [5,3,1,3] => [1,1,1,1,2,1,3,1,1] [5,2,1,4] => [1,1,1,1,2,3,1,1,1] [5,1,1,5] => [1,1,1,1,4,1,1,1,1] [6,6] => [1,1,1,1,1,2,1,1,1,1,1] [1,2,2,2,2,2,1] => [2,2,2,2,2,2] [1,2,2,2,3,2] => [2,2,2,2,1,2,1] [1,2,2,3,3,1] => [2,2,2,1,2,1,2] [1,2,2,3,2,2] => [2,2,2,1,2,2,1] [1,2,2,4,3] => [2,2,2,1,1,2,1,1] [1,2,3,3,2,1] => [2,2,1,2,1,2,2] [1,2,3,4,2] => [2,2,1,2,1,1,2,1] [1,2,3,2,3,1] => [2,2,1,2,2,1,2] [1,2,3,2,2,2] => [2,2,1,2,2,2,1] [1,2,3,3,3] => [2,2,1,2,1,2,1,1] [1,2,4,4,1] => [2,2,1,1,2,1,1,2] [1,2,4,3,2] => [2,2,1,1,2,1,2,1] [1,2,4,2,3] => [2,2,1,1,2,2,1,1] [1,2,5,4] => [2,2,1,1,1,2,1,1,1] [1,3,3,2,2,1] => [2,1,2,1,2,2,2] [1,3,3,3,2] => [2,1,2,1,2,1,2,1] [1,3,4,3,1] => [2,1,2,1,1,2,1,2] [1,3,4,2,2] => [2,1,2,1,1,2,2,1] [1,3,5,3] => [2,1,2,1,1,1,2,1,1] [1,3,2,3,2,1] => [2,1,2,2,1,2,2] [1,3,2,4,2] => [2,1,2,2,1,1,2,1] [1,3,2,2,3,1] => [2,1,2,2,2,1,2] [1,3,2,2,2,2] => [2,1,2,2,2,2,1] [1,3,2,3,3] => [2,1,2,2,1,2,1,1] [1,3,3,4,1] => [2,1,2,1,2,1,1,2] [1,3,3,2,3] => [2,1,2,1,2,2,1,1] [1,3,4,4] => [2,1,2,1,1,2,1,1,1] [1,4,4,2,1] => [2,1,1,2,1,1,2,2] [1,4,5,2] => [2,1,1,2,1,1,1,2,1] [1,4,3,3,1] => [2,1,1,2,1,2,1,2] [1,4,3,2,2] => [2,1,1,2,1,2,2,1] [1,4,4,3] => [2,1,1,2,1,1,2,1,1] [1,4,2,4,1] => [2,1,1,2,2,1,1,2] [1,4,2,3,2] => [2,1,1,2,2,1,2,1] [1,4,2,2,3] => [2,1,1,2,2,2,1,1] ----------------------------------------------------------------------------- Created: Jan 19, 2020 at 07:28 by FindStatCrew ----------------------------------------------------------------------------- Last Updated: Jan 19, 2020 at 07:28 by Martin Rubey