************************************************************************ * 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: Mp00107 ------------------------------------------------------------------------ Map name: catabolism ------------------------------------------------------------------------ Domain: Semistandard tableaux ------------------------------------------------------------------------ Codomain: Semistandard tableaux ------------------------------------------------------------------------ Description: Remove the first row of the semistandard tableau and insert it back using column Schensted insertion, starting with the largest number. The algorithm for column-inserting an entry \$k\$ into tableau \$T\$ is as follows: If \$k\$ is larger than all entries in the first column, place \$k\$ at the bottom of the first column and the procedure is finished. Otherwise, place \$k\$ in the first column, replacing the smallest entry, \$y\$, greater or equal to than \$k\$. Now insert \$y\$ into the second column using the same procedure: if \$y\$ is greater than all entries in the second column, place it at the bottom of that column (provided that the result is still a tableau). Otherwise, place \$y\$ in the second column, replacing, or 'bumping', the smallest entry, \$z\$, larger than or equal to \$y\$. Continue the procedure until we have placed a bumped entry at the bottom of a column (or on its own in a new column). ------------------------------------------------------------------------ References: [1] O'Connell, N., Pei, Y. A q-weighted version of the Robinson-Schensted algorithm [[arXiv:1212.6716]] ------------------------------------------------------------------------ Code: def mapping(elt): return elt.catabolism() ------------------------------------------------------------------------ Map images: [[1,2]] => [[1,2]] [[2,2]] => [[2,2]] [[1],[2]] => [[1,2]] [[1,3]] => [[1,3]] [[2,3]] => [[2,3]] [[3,3]] => [[3,3]] [[1],[3]] => [[1,3]] [[2],[3]] => [[2,3]] [[1,4]] => [[1,4]] [[2,4]] => [[2,4]] [[3,4]] => [[3,4]] [[4,4]] => [[4,4]] [[1],[4]] => [[1,4]] [[2],[4]] => [[2,4]] [[3],[4]] => [[3,4]] [[1,5]] => [[1,5]] [[2,5]] => [[2,5]] [[3,5]] => [[3,5]] [[4,5]] => [[4,5]] [[5,5]] => [[5,5]] [[1],[5]] => [[1,5]] [[2],[5]] => [[2,5]] [[3],[5]] => [[3,5]] [[4],[5]] => [[4,5]] [[1,6]] => [[1,6]] [[2,6]] => [[2,6]] [[3,6]] => [[3,6]] [[4,6]] => [[4,6]] [[5,6]] => [[5,6]] [[6,6]] => [[6,6]] [[1],[6]] => [[1,6]] [[2],[6]] => [[2,6]] [[3],[6]] => [[3,6]] [[4],[6]] => [[4,6]] [[5],[6]] => [[5,6]] [[1,7]] => [[1,7]] [[2,7]] => [[2,7]] [[3,7]] => [[3,7]] [[4,7]] => [[4,7]] [[5,7]] => [[5,7]] [[6,7]] => [[6,7]] [[7,7]] => [[7,7]] [[1],[7]] => [[1,7]] [[2],[7]] => [[2,7]] [[3],[7]] => [[3,7]] [[4],[7]] => [[4,7]] [[5],[7]] => [[5,7]] [[6],[7]] => [[6,7]] [[1,8]] => [[1,8]] [[2,8]] => [[2,8]] [[3,8]] => [[3,8]] [[4,8]] => [[4,8]] [[5,8]] => [[5,8]] [[6,8]] => [[6,8]] [[7,8]] => [[7,8]] [[8,8]] => [[8,8]] [[1],[8]] => [[1,8]] [[2],[8]] => [[2,8]] [[3],[8]] => [[3,8]] [[4],[8]] => [[4,8]] [[5],[8]] => [[5,8]] [[6],[8]] => [[6,8]] [[7],[8]] => [[7,8]] [[1,1,2]] => [[1,1,2]] [[1,2,2]] => [[1,2,2]] [[2,2,2]] => [[2,2,2]] [[1,1],[2]] => [[1,1,2]] [[1,2],[2]] => [[1,2,2]] [[1,1,3]] => [[1,1,3]] [[1,2,3]] => [[1,2,3]] [[1,3,3]] => [[1,3,3]] [[2,2,3]] => [[2,2,3]] [[2,3,3]] => [[2,3,3]] [[3,3,3]] => [[3,3,3]] [[1,1],[3]] => [[1,1,3]] [[1,2],[3]] => [[1,2,3]] [[1,3],[2]] => [[1,2],[3]] [[1,3],[3]] => [[1,3,3]] [[2,2],[3]] => [[2,2,3]] [[2,3],[3]] => [[2,3,3]] [[1],[2],[3]] => [[1,2],[3]] [[1,1,4]] => [[1,1,4]] [[1,2,4]] => [[1,2,4]] [[1,3,4]] => [[1,3,4]] [[1,4,4]] => [[1,4,4]] [[2,2,4]] => [[2,2,4]] [[2,3,4]] => [[2,3,4]] [[2,4,4]] => [[2,4,4]] [[3,3,4]] => [[3,3,4]] [[3,4,4]] => [[3,4,4]] [[4,4,4]] => [[4,4,4]] [[1,1],[4]] => [[1,1,4]] [[1,2],[4]] => [[1,2,4]] [[1,4],[2]] => [[1,2],[4]] [[1,3],[4]] => [[1,3,4]] [[1,4],[3]] => [[1,3],[4]] [[1,4],[4]] => [[1,4,4]] [[2,2],[4]] => [[2,2,4]] [[2,3],[4]] => [[2,3,4]] [[2,4],[3]] => [[2,3],[4]] [[2,4],[4]] => [[2,4,4]] [[3,3],[4]] => [[3,3,4]] [[3,4],[4]] => [[3,4,4]] [[1],[2],[4]] => [[1,2],[4]] [[1],[3],[4]] => [[1,3],[4]] [[2],[3],[4]] => [[2,3],[4]] [[1,1,5]] => [[1,1,5]] [[1,2,5]] => [[1,2,5]] [[1,3,5]] => [[1,3,5]] [[1,4,5]] => [[1,4,5]] [[1,5,5]] => [[1,5,5]] [[2,2,5]] => [[2,2,5]] [[2,3,5]] => [[2,3,5]] [[2,4,5]] => [[2,4,5]] [[2,5,5]] => [[2,5,5]] [[3,3,5]] => [[3,3,5]] [[3,4,5]] => [[3,4,5]] [[3,5,5]] => [[3,5,5]] [[4,4,5]] => [[4,4,5]] [[4,5,5]] => [[4,5,5]] [[5,5,5]] => [[5,5,5]] [[1,1],[5]] => [[1,1,5]] [[1,2],[5]] => [[1,2,5]] [[1,5],[2]] => [[1,2],[5]] [[1,3],[5]] => [[1,3,5]] [[1,5],[3]] => [[1,3],[5]] [[1,4],[5]] => [[1,4,5]] [[1,5],[4]] => [[1,4],[5]] [[1,5],[5]] => [[1,5,5]] [[2,2],[5]] => [[2,2,5]] [[2,3],[5]] => [[2,3,5]] [[2,5],[3]] => [[2,3],[5]] [[2,4],[5]] => [[2,4,5]] [[2,5],[4]] => [[2,4],[5]] [[2,5],[5]] => [[2,5,5]] [[3,3],[5]] => [[3,3,5]] [[3,4],[5]] => [[3,4,5]] [[3,5],[4]] => [[3,4],[5]] [[3,5],[5]] => [[3,5,5]] [[4,4],[5]] => [[4,4,5]] [[4,5],[5]] => [[4,5,5]] [[1],[2],[5]] => [[1,2],[5]] [[1],[3],[5]] => [[1,3],[5]] [[1],[4],[5]] => [[1,4],[5]] [[2],[3],[5]] => [[2,3],[5]] [[2],[4],[5]] => [[2,4],[5]] [[3],[4],[5]] => [[3,4],[5]] [[1,1,6]] => [[1,1,6]] [[1,2,6]] => [[1,2,6]] [[1,3,6]] => [[1,3,6]] [[1,4,6]] => [[1,4,6]] [[1,5,6]] => [[1,5,6]] [[1,6,6]] => [[1,6,6]] [[2,2,6]] => [[2,2,6]] [[2,3,6]] => [[2,3,6]] [[2,4,6]] => [[2,4,6]] [[2,5,6]] => [[2,5,6]] [[2,6,6]] => [[2,6,6]] [[3,3,6]] => [[3,3,6]] [[3,4,6]] => [[3,4,6]] [[3,5,6]] => [[3,5,6]] [[3,6,6]] => [[3,6,6]] [[4,4,6]] => [[4,4,6]] [[4,5,6]] => [[4,5,6]] [[4,6,6]] => [[4,6,6]] [[5,5,6]] => [[5,5,6]] [[5,6,6]] => [[5,6,6]] [[6,6,6]] => [[6,6,6]] [[1,1],[6]] => [[1,1,6]] [[1,2],[6]] => [[1,2,6]] [[1,6],[2]] => [[1,2],[6]] [[1,3],[6]] => [[1,3,6]] [[1,6],[3]] => [[1,3],[6]] [[1,4],[6]] => [[1,4,6]] [[1,6],[4]] => [[1,4],[6]] [[1,5],[6]] => [[1,5,6]] [[1,6],[5]] => [[1,5],[6]] [[1,6],[6]] => [[1,6,6]] [[2,2],[6]] => [[2,2,6]] [[2,3],[6]] => [[2,3,6]] [[2,6],[3]] => [[2,3],[6]] [[2,4],[6]] => [[2,4,6]] [[2,6],[4]] => [[2,4],[6]] [[2,5],[6]] => [[2,5,6]] [[2,6],[5]] => [[2,5],[6]] [[2,6],[6]] => [[2,6,6]] [[3,3],[6]] => [[3,3,6]] [[3,4],[6]] => [[3,4,6]] [[3,6],[4]] => [[3,4],[6]] [[3,5],[6]] => [[3,5,6]] [[3,6],[5]] => [[3,5],[6]] [[3,6],[6]] => [[3,6,6]] [[4,4],[6]] => [[4,4,6]] [[4,5],[6]] => [[4,5,6]] [[4,6],[5]] => [[4,5],[6]] [[4,6],[6]] => [[4,6,6]] [[5,5],[6]] => [[5,5,6]] [[5,6],[6]] => [[5,6,6]] [[1],[2],[6]] => [[1,2],[6]] [[1],[3],[6]] => [[1,3],[6]] [[1],[4],[6]] => [[1,4],[6]] [[1],[5],[6]] => [[1,5],[6]] [[2],[3],[6]] => [[2,3],[6]] [[2],[4],[6]] => [[2,4],[6]] [[2],[5],[6]] => [[2,5],[6]] [[3],[4],[6]] => [[3,4],[6]] [[3],[5],[6]] => [[3,5],[6]] [[4],[5],[6]] => [[4,5],[6]] [[1,1,7]] => [[1,1,7]] [[1,2,7]] => [[1,2,7]] [[1,3,7]] => [[1,3,7]] [[1,4,7]] => [[1,4,7]] [[1,5,7]] => [[1,5,7]] [[1,6,7]] => [[1,6,7]] [[1,7,7]] => [[1,7,7]] [[2,2,7]] => [[2,2,7]] [[2,3,7]] => [[2,3,7]] [[2,4,7]] => [[2,4,7]] [[2,5,7]] => [[2,5,7]] [[2,6,7]] => [[2,6,7]] [[2,7,7]] => [[2,7,7]] [[3,3,7]] => [[3,3,7]] [[3,4,7]] => [[3,4,7]] [[3,5,7]] => [[3,5,7]] [[3,6,7]] => [[3,6,7]] [[3,7,7]] => [[3,7,7]] [[4,4,7]] => [[4,4,7]] [[4,5,7]] => [[4,5,7]] [[4,6,7]] => [[4,6,7]] [[4,7,7]] => [[4,7,7]] [[5,5,7]] => [[5,5,7]] [[5,6,7]] => [[5,6,7]] [[5,7,7]] => [[5,7,7]] [[6,6,7]] => [[6,6,7]] [[6,7,7]] => [[6,7,7]] [[7,7,7]] => [[7,7,7]] [[1,1],[7]] => [[1,1,7]] [[1,2],[7]] => [[1,2,7]] [[1,7],[2]] => [[1,2],[7]] [[1,3],[7]] => [[1,3,7]] [[1,7],[3]] => [[1,3],[7]] [[1,4],[7]] => [[1,4,7]] [[1,7],[4]] => [[1,4],[7]] [[1,5],[7]] => [[1,5,7]] [[1,7],[5]] => [[1,5],[7]] [[1,6],[7]] => [[1,6,7]] [[1,7],[6]] => [[1,6],[7]] [[1,7],[7]] => [[1,7,7]] [[2,2],[7]] => [[2,2,7]] [[2,3],[7]] => [[2,3,7]] [[2,7],[3]] => [[2,3],[7]] [[2,4],[7]] => [[2,4,7]] [[2,7],[4]] => [[2,4],[7]] [[2,5],[7]] => [[2,5,7]] [[2,7],[5]] => [[2,5],[7]] [[2,6],[7]] => [[2,6,7]] [[2,7],[6]] => [[2,6],[7]] [[2,7],[7]] => [[2,7,7]] [[3,3],[7]] => [[3,3,7]] [[3,4],[7]] => [[3,4,7]] [[3,7],[4]] => [[3,4],[7]] [[3,5],[7]] => [[3,5,7]] [[3,7],[5]] => [[3,5],[7]] [[3,6],[7]] => [[3,6,7]] [[3,7],[6]] => [[3,6],[7]] [[3,7],[7]] => [[3,7,7]] [[4,4],[7]] => [[4,4,7]] [[4,5],[7]] => [[4,5,7]] [[4,7],[5]] => [[4,5],[7]] [[4,6],[7]] => [[4,6,7]] [[4,7],[6]] => [[4,6],[7]] [[4,7],[7]] => [[4,7,7]] [[5,5],[7]] => [[5,5,7]] [[5,6],[7]] => [[5,6,7]] [[5,7],[6]] => [[5,6],[7]] [[5,7],[7]] => [[5,7,7]] [[6,6],[7]] => [[6,6,7]] [[6,7],[7]] => [[6,7,7]] [[1],[2],[7]] => [[1,2],[7]] [[1],[3],[7]] => [[1,3],[7]] [[1],[4],[7]] => [[1,4],[7]] [[1],[5],[7]] => [[1,5],[7]] [[1],[6],[7]] => [[1,6],[7]] [[2],[3],[7]] => [[2,3],[7]] [[2],[4],[7]] => [[2,4],[7]] [[2],[5],[7]] => [[2,5],[7]] [[2],[6],[7]] => [[2,6],[7]] [[3],[4],[7]] => [[3,4],[7]] [[3],[5],[7]] => [[3,5],[7]] [[3],[6],[7]] => [[3,6],[7]] [[4],[5],[7]] => [[4,5],[7]] [[4],[6],[7]] => [[4,6],[7]] [[5],[6],[7]] => [[5,6],[7]] [[1,1,1,2]] => [[1,1,1,2]] [[1,1,2,2]] => [[1,1,2,2]] [[1,2,2,2]] => [[1,2,2,2]] [[2,2,2,2]] => [[2,2,2,2]] [[1,1,1],[2]] => [[1,1,1,2]] [[1,1,2],[2]] => [[1,1,2,2]] [[1,2,2],[2]] => [[1,2,2,2]] [[1,1],[2,2]] => [[1,1,2,2]] [[1,1,1,3]] => [[1,1,1,3]] [[1,1,2,3]] => [[1,1,2,3]] [[1,1,3,3]] => [[1,1,3,3]] [[1,2,2,3]] => [[1,2,2,3]] [[1,2,3,3]] => [[1,2,3,3]] [[1,3,3,3]] => [[1,3,3,3]] [[2,2,2,3]] => [[2,2,2,3]] [[2,2,3,3]] => [[2,2,3,3]] [[2,3,3,3]] => [[2,3,3,3]] [[3,3,3,3]] => [[3,3,3,3]] [[1,1,1],[3]] => [[1,1,1,3]] [[1,1,2],[3]] => [[1,1,2,3]] [[1,1,3],[2]] => [[1,1,2],[3]] [[1,1,3],[3]] => [[1,1,3,3]] [[1,2,2],[3]] => [[1,2,2,3]] [[1,2,3],[2]] => [[1,2,2],[3]] [[1,2,3],[3]] => [[1,2,3,3]] [[1,3,3],[2]] => [[1,2,3],[3]] [[1,3,3],[3]] => [[1,3,3,3]] [[2,2,2],[3]] => [[2,2,2,3]] [[2,2,3],[3]] => [[2,2,3,3]] [[2,3,3],[3]] => [[2,3,3,3]] [[1,1],[2,3]] => [[1,1,2,3]] [[1,1],[3,3]] => [[1,1,3,3]] [[1,2],[2,3]] => [[1,2,2,3]] [[1,2],[3,3]] => [[1,2,3,3]] [[2,2],[3,3]] => [[2,2,3,3]] [[1,1],[2],[3]] => [[1,1,2],[3]] [[1,2],[2],[3]] => [[1,2,2],[3]] [[1,3],[2],[3]] => [[1,2,3],[3]] [[1,1,1,4]] => [[1,1,1,4]] [[1,1,2,4]] => [[1,1,2,4]] [[1,1,3,4]] => [[1,1,3,4]] [[1,1,4,4]] => [[1,1,4,4]] [[1,2,2,4]] => [[1,2,2,4]] [[1,2,3,4]] => [[1,2,3,4]] [[1,2,4,4]] => [[1,2,4,4]] [[1,3,3,4]] => [[1,3,3,4]] [[1,3,4,4]] => [[1,3,4,4]] [[1,4,4,4]] => [[1,4,4,4]] [[2,2,2,4]] => [[2,2,2,4]] [[2,2,3,4]] => [[2,2,3,4]] [[2,2,4,4]] => [[2,2,4,4]] [[2,3,3,4]] => [[2,3,3,4]] [[2,3,4,4]] => [[2,3,4,4]] [[2,4,4,4]] => [[2,4,4,4]] [[3,3,3,4]] => [[3,3,3,4]] [[3,3,4,4]] => [[3,3,4,4]] [[3,4,4,4]] => [[3,4,4,4]] [[4,4,4,4]] => [[4,4,4,4]] [[1,1,1],[4]] => [[1,1,1,4]] [[1,1,2],[4]] => [[1,1,2,4]] [[1,1,4],[2]] => [[1,1,2],[4]] [[1,1,3],[4]] => [[1,1,3,4]] [[1,1,4],[3]] => [[1,1,3],[4]] [[1,1,4],[4]] => [[1,1,4,4]] [[1,2,2],[4]] => [[1,2,2,4]] [[1,2,4],[2]] => [[1,2,2],[4]] [[1,2,3],[4]] => [[1,2,3,4]] [[1,2,4],[3]] => [[1,2,3],[4]] [[1,3,4],[2]] => [[1,2,4],[3]] [[1,2,4],[4]] => [[1,2,4,4]] [[1,4,4],[2]] => [[1,2,4],[4]] [[1,3,3],[4]] => [[1,3,3,4]] [[1,3,4],[3]] => [[1,3,3],[4]] [[1,3,4],[4]] => [[1,3,4,4]] [[1,4,4],[3]] => [[1,3,4],[4]] [[1,4,4],[4]] => [[1,4,4,4]] [[2,2,2],[4]] => [[2,2,2,4]] [[2,2,3],[4]] => [[2,2,3,4]] [[2,2,4],[3]] => [[2,2,3],[4]] [[2,2,4],[4]] => [[2,2,4,4]] [[2,3,3],[4]] => [[2,3,3,4]] [[2,3,4],[3]] => [[2,3,3],[4]] [[2,3,4],[4]] => [[2,3,4,4]] [[2,4,4],[3]] => [[2,3,4],[4]] [[2,4,4],[4]] => [[2,4,4,4]] [[3,3,3],[4]] => [[3,3,3,4]] [[3,3,4],[4]] => [[3,3,4,4]] [[3,4,4],[4]] => [[3,4,4,4]] [[1,1],[2,4]] => [[1,1,2,4]] [[1,1],[3,4]] => [[1,1,3,4]] [[1,1],[4,4]] => [[1,1,4,4]] [[1,2],[2,4]] => [[1,2,2,4]] [[1,2],[3,4]] => [[1,2,3,4]] [[1,3],[2,4]] => [[1,2,4],[3]] [[1,2],[4,4]] => [[1,2,4,4]] [[1,3],[3,4]] => [[1,3,3,4]] [[1,3],[4,4]] => [[1,3,4,4]] [[2,2],[3,4]] => [[2,2,3,4]] [[2,2],[4,4]] => [[2,2,4,4]] [[2,3],[3,4]] => [[2,3,3,4]] [[2,3],[4,4]] => [[2,3,4,4]] [[3,3],[4,4]] => [[3,3,4,4]] [[1,1],[2],[4]] => [[1,1,2],[4]] [[1,1],[3],[4]] => [[1,1,3],[4]] [[1,2],[2],[4]] => [[1,2,2],[4]] [[1,2],[3],[4]] => [[1,2,3],[4]] [[1,3],[2],[4]] => [[1,2,4],[3]] [[1,4],[2],[3]] => [[1,2],[3],[4]] [[1,4],[2],[4]] => [[1,2,4],[4]] [[1,3],[3],[4]] => [[1,3,3],[4]] [[1,4],[3],[4]] => [[1,3,4],[4]] [[2,2],[3],[4]] => [[2,2,3],[4]] [[2,3],[3],[4]] => [[2,3,3],[4]] [[2,4],[3],[4]] => [[2,3,4],[4]] [[1],[2],[3],[4]] => [[1,2],[3],[4]] [[1,1,1,5]] => [[1,1,1,5]] [[1,1,2,5]] => [[1,1,2,5]] [[1,1,3,5]] => [[1,1,3,5]] [[1,1,4,5]] => [[1,1,4,5]] [[1,1,5,5]] => [[1,1,5,5]] [[1,2,2,5]] => [[1,2,2,5]] [[1,2,3,5]] => [[1,2,3,5]] [[1,2,4,5]] => [[1,2,4,5]] [[1,2,5,5]] => [[1,2,5,5]] [[1,3,3,5]] => [[1,3,3,5]] [[1,3,4,5]] => [[1,3,4,5]] [[1,3,5,5]] => [[1,3,5,5]] [[1,4,4,5]] => [[1,4,4,5]] [[1,4,5,5]] => [[1,4,5,5]] [[1,5,5,5]] => [[1,5,5,5]] [[2,2,2,5]] => [[2,2,2,5]] [[2,2,3,5]] => [[2,2,3,5]] [[2,2,4,5]] => [[2,2,4,5]] [[2,2,5,5]] => [[2,2,5,5]] [[2,3,3,5]] => [[2,3,3,5]] [[2,3,4,5]] => [[2,3,4,5]] [[2,3,5,5]] => [[2,3,5,5]] [[2,4,4,5]] => [[2,4,4,5]] [[2,4,5,5]] => [[2,4,5,5]] [[2,5,5,5]] => [[2,5,5,5]] [[3,3,3,5]] => [[3,3,3,5]] [[3,3,4,5]] => [[3,3,4,5]] [[3,3,5,5]] => [[3,3,5,5]] [[3,4,4,5]] => [[3,4,4,5]] [[3,4,5,5]] => [[3,4,5,5]] [[3,5,5,5]] => [[3,5,5,5]] [[4,4,4,5]] => [[4,4,4,5]] [[4,4,5,5]] => [[4,4,5,5]] [[4,5,5,5]] => [[4,5,5,5]] [[5,5,5,5]] => [[5,5,5,5]] [[1,1,1],[5]] => [[1,1,1,5]] [[1,1,2],[5]] => [[1,1,2,5]] [[1,1,5],[2]] => [[1,1,2],[5]] [[1,1,3],[5]] => [[1,1,3,5]] [[1,1,5],[3]] => [[1,1,3],[5]] [[1,1,4],[5]] => [[1,1,4,5]] [[1,1,5],[4]] => [[1,1,4],[5]] [[1,1,5],[5]] => [[1,1,5,5]] [[1,2,2],[5]] => [[1,2,2,5]] [[1,2,5],[2]] => [[1,2,2],[5]] [[1,2,3],[5]] => [[1,2,3,5]] [[1,2,5],[3]] => [[1,2,3],[5]] [[1,3,5],[2]] => [[1,2,5],[3]] [[1,2,4],[5]] => [[1,2,4,5]] [[1,2,5],[4]] => [[1,2,4],[5]] [[1,4,5],[2]] => [[1,2,5],[4]] [[1,2,5],[5]] => [[1,2,5,5]] [[1,5,5],[2]] => [[1,2,5],[5]] [[1,3,3],[5]] => [[1,3,3,5]] [[1,3,5],[3]] => [[1,3,3],[5]] [[1,3,4],[5]] => [[1,3,4,5]] [[1,3,5],[4]] => [[1,3,4],[5]] [[1,4,5],[3]] => [[1,3,5],[4]] [[1,3,5],[5]] => [[1,3,5,5]] [[1,5,5],[3]] => [[1,3,5],[5]] [[1,4,4],[5]] => [[1,4,4,5]] [[1,4,5],[4]] => [[1,4,4],[5]] [[1,4,5],[5]] => [[1,4,5,5]] [[1,5,5],[4]] => [[1,4,5],[5]] [[1,5,5],[5]] => [[1,5,5,5]] [[2,2,2],[5]] => [[2,2,2,5]] [[2,2,3],[5]] => [[2,2,3,5]] [[2,2,5],[3]] => [[2,2,3],[5]] [[2,2,4],[5]] => [[2,2,4,5]] [[2,2,5],[4]] => [[2,2,4],[5]] [[2,2,5],[5]] => [[2,2,5,5]] [[2,3,3],[5]] => [[2,3,3,5]] [[2,3,5],[3]] => [[2,3,3],[5]] [[2,3,4],[5]] => [[2,3,4,5]] [[2,3,5],[4]] => [[2,3,4],[5]] [[2,4,5],[3]] => [[2,3,5],[4]] [[2,3,5],[5]] => [[2,3,5,5]] [[2,5,5],[3]] => [[2,3,5],[5]] [[2,4,4],[5]] => [[2,4,4,5]] [[2,4,5],[4]] => [[2,4,4],[5]] [[2,4,5],[5]] => [[2,4,5,5]] [[2,5,5],[4]] => [[2,4,5],[5]] [[2,5,5],[5]] => [[2,5,5,5]] [[3,3,3],[5]] => [[3,3,3,5]] [[3,3,4],[5]] => [[3,3,4,5]] [[3,3,5],[4]] => [[3,3,4],[5]] [[3,3,5],[5]] => [[3,3,5,5]] [[3,4,4],[5]] => [[3,4,4,5]] [[3,4,5],[4]] => [[3,4,4],[5]] [[3,4,5],[5]] => [[3,4,5,5]] [[3,5,5],[4]] => [[3,4,5],[5]] [[3,5,5],[5]] => [[3,5,5,5]] [[4,4,4],[5]] => [[4,4,4,5]] [[4,4,5],[5]] => [[4,4,5,5]] [[4,5,5],[5]] => [[4,5,5,5]] [[1,1],[2,5]] => [[1,1,2,5]] [[1,1],[3,5]] => [[1,1,3,5]] [[1,1],[4,5]] => [[1,1,4,5]] [[1,1],[5,5]] => [[1,1,5,5]] [[1,2],[2,5]] => [[1,2,2,5]] [[1,2],[3,5]] => [[1,2,3,5]] [[1,3],[2,5]] => [[1,2,5],[3]] [[1,2],[4,5]] => [[1,2,4,5]] [[1,4],[2,5]] => [[1,2,5],[4]] [[1,2],[5,5]] => [[1,2,5,5]] [[1,3],[3,5]] => [[1,3,3,5]] [[1,3],[4,5]] => [[1,3,4,5]] [[1,4],[3,5]] => [[1,3,5],[4]] [[1,3],[5,5]] => [[1,3,5,5]] [[1,4],[4,5]] => [[1,4,4,5]] [[1,4],[5,5]] => [[1,4,5,5]] [[2,2],[3,5]] => [[2,2,3,5]] [[2,2],[4,5]] => [[2,2,4,5]] [[2,2],[5,5]] => [[2,2,5,5]] [[2,3],[3,5]] => [[2,3,3,5]] [[2,3],[4,5]] => [[2,3,4,5]] [[2,4],[3,5]] => [[2,3,5],[4]] [[2,3],[5,5]] => [[2,3,5,5]] [[2,4],[4,5]] => [[2,4,4,5]] [[2,4],[5,5]] => [[2,4,5,5]] [[3,3],[4,5]] => [[3,3,4,5]] [[3,3],[5,5]] => [[3,3,5,5]] [[3,4],[4,5]] => [[3,4,4,5]] [[3,4],[5,5]] => [[3,4,5,5]] [[4,4],[5,5]] => [[4,4,5,5]] [[1,1],[2],[5]] => [[1,1,2],[5]] [[1,1],[3],[5]] => [[1,1,3],[5]] [[1,1],[4],[5]] => [[1,1,4],[5]] [[1,2],[2],[5]] => [[1,2,2],[5]] [[1,2],[3],[5]] => [[1,2,3],[5]] [[1,3],[2],[5]] => [[1,2,5],[3]] [[1,5],[2],[3]] => [[1,2],[3],[5]] [[1,2],[4],[5]] => [[1,2,4],[5]] [[1,4],[2],[5]] => [[1,2,5],[4]] [[1,5],[2],[4]] => [[1,2],[4],[5]] [[1,5],[2],[5]] => [[1,2,5],[5]] [[1,3],[3],[5]] => [[1,3,3],[5]] [[1,3],[4],[5]] => [[1,3,4],[5]] [[1,4],[3],[5]] => [[1,3,5],[4]] [[1,5],[3],[4]] => [[1,3],[4],[5]] [[1,5],[3],[5]] => [[1,3,5],[5]] [[1,4],[4],[5]] => [[1,4,4],[5]] [[1,5],[4],[5]] => [[1,4,5],[5]] [[2,2],[3],[5]] => [[2,2,3],[5]] [[2,2],[4],[5]] => [[2,2,4],[5]] [[2,3],[3],[5]] => [[2,3,3],[5]] [[2,3],[4],[5]] => [[2,3,4],[5]] [[2,4],[3],[5]] => [[2,3,5],[4]] [[2,5],[3],[4]] => [[2,3],[4],[5]] [[2,5],[3],[5]] => [[2,3,5],[5]] [[2,4],[4],[5]] => [[2,4,4],[5]] [[2,5],[4],[5]] => [[2,4,5],[5]] [[3,3],[4],[5]] => [[3,3,4],[5]] [[3,4],[4],[5]] => [[3,4,4],[5]] [[3,5],[4],[5]] => [[3,4,5],[5]] [[1],[2],[3],[5]] => [[1,2],[3],[5]] [[1],[2],[4],[5]] => [[1,2],[4],[5]] [[1],[3],[4],[5]] => [[1,3],[4],[5]] [[2],[3],[4],[5]] => [[2,3],[4],[5]] [[1,1,1,6]] => [[1,1,1,6]] [[1,1,2,6]] => [[1,1,2,6]] [[1,1,3,6]] => [[1,1,3,6]] [[1,1,4,6]] => [[1,1,4,6]] [[1,1,5,6]] => [[1,1,5,6]] [[1,1,6,6]] => [[1,1,6,6]] [[1,2,2,6]] => [[1,2,2,6]] [[1,2,3,6]] => [[1,2,3,6]] [[1,2,4,6]] => [[1,2,4,6]] [[1,2,5,6]] => [[1,2,5,6]] [[1,2,6,6]] => [[1,2,6,6]] [[1,3,3,6]] => [[1,3,3,6]] [[1,3,4,6]] => [[1,3,4,6]] [[1,3,5,6]] => [[1,3,5,6]] [[1,3,6,6]] => [[1,3,6,6]] [[1,4,4,6]] => [[1,4,4,6]] [[1,4,5,6]] => [[1,4,5,6]] [[1,4,6,6]] => [[1,4,6,6]] [[1,5,5,6]] => [[1,5,5,6]] [[1,5,6,6]] => [[1,5,6,6]] [[1,6,6,6]] => [[1,6,6,6]] [[2,2,2,6]] => [[2,2,2,6]] [[2,2,3,6]] => [[2,2,3,6]] [[2,2,4,6]] => [[2,2,4,6]] [[2,2,5,6]] => [[2,2,5,6]] [[2,2,6,6]] => [[2,2,6,6]] [[2,3,3,6]] => [[2,3,3,6]] [[2,3,4,6]] => [[2,3,4,6]] [[2,3,5,6]] => [[2,3,5,6]] [[2,3,6,6]] => [[2,3,6,6]] [[2,4,4,6]] => [[2,4,4,6]] [[2,4,5,6]] => [[2,4,5,6]] [[2,4,6,6]] => [[2,4,6,6]] [[2,5,5,6]] => [[2,5,5,6]] [[2,5,6,6]] => [[2,5,6,6]] [[2,6,6,6]] => [[2,6,6,6]] [[3,3,3,6]] => [[3,3,3,6]] [[3,3,4,6]] => [[3,3,4,6]] [[3,3,5,6]] => [[3,3,5,6]] [[3,3,6,6]] => [[3,3,6,6]] [[3,4,4,6]] => [[3,4,4,6]] [[3,4,5,6]] => [[3,4,5,6]] [[3,4,6,6]] => [[3,4,6,6]] [[3,5,5,6]] => [[3,5,5,6]] [[3,5,6,6]] => [[3,5,6,6]] [[3,6,6,6]] => [[3,6,6,6]] [[4,4,4,6]] => [[4,4,4,6]] [[4,4,5,6]] => [[4,4,5,6]] [[4,4,6,6]] => [[4,4,6,6]] [[4,5,5,6]] => [[4,5,5,6]] [[4,5,6,6]] => [[4,5,6,6]] [[4,6,6,6]] => [[4,6,6,6]] [[5,5,5,6]] => [[5,5,5,6]] [[5,5,6,6]] => [[5,5,6,6]] [[5,6,6,6]] => [[5,6,6,6]] [[6,6,6,6]] => [[6,6,6,6]] [[1,1,1],[6]] => [[1,1,1,6]] [[1,1,2],[6]] => [[1,1,2,6]] [[1,1,6],[2]] => [[1,1,2],[6]] [[1,1,3],[6]] => [[1,1,3,6]] [[1,1,6],[3]] => [[1,1,3],[6]] [[1,1,4],[6]] => [[1,1,4,6]] [[1,1,6],[4]] => [[1,1,4],[6]] [[1,1,5],[6]] => [[1,1,5,6]] [[1,1,6],[5]] => [[1,1,5],[6]] [[1,1,6],[6]] => [[1,1,6,6]] [[1,2,2],[6]] => [[1,2,2,6]] [[1,2,6],[2]] => [[1,2,2],[6]] [[1,2,3],[6]] => [[1,2,3,6]] [[1,2,6],[3]] => [[1,2,3],[6]] [[1,3,6],[2]] => [[1,2,6],[3]] [[1,2,4],[6]] => [[1,2,4,6]] [[1,2,6],[4]] => [[1,2,4],[6]] [[1,4,6],[2]] => [[1,2,6],[4]] [[1,2,5],[6]] => [[1,2,5,6]] [[1,2,6],[5]] => [[1,2,5],[6]] [[1,5,6],[2]] => [[1,2,6],[5]] [[1,2,6],[6]] => [[1,2,6,6]] [[1,6,6],[2]] => [[1,2,6],[6]] [[1,3,3],[6]] => [[1,3,3,6]] [[1,3,6],[3]] => [[1,3,3],[6]] [[1,3,4],[6]] => [[1,3,4,6]] [[1,3,6],[4]] => [[1,3,4],[6]] [[1,4,6],[3]] => [[1,3,6],[4]] [[1,3,5],[6]] => [[1,3,5,6]] [[1,3,6],[5]] => [[1,3,5],[6]] [[1,5,6],[3]] => [[1,3,6],[5]] [[1,3,6],[6]] => [[1,3,6,6]] [[1,6,6],[3]] => [[1,3,6],[6]] [[1,4,4],[6]] => [[1,4,4,6]] [[1,4,6],[4]] => [[1,4,4],[6]] [[1,4,5],[6]] => [[1,4,5,6]] [[1,4,6],[5]] => [[1,4,5],[6]] [[1,5,6],[4]] => [[1,4,6],[5]] [[1,4,6],[6]] => [[1,4,6,6]] [[1,6,6],[4]] => [[1,4,6],[6]] [[1,5,5],[6]] => [[1,5,5,6]] [[1,5,6],[5]] => [[1,5,5],[6]] [[1,5,6],[6]] => [[1,5,6,6]] [[1,6,6],[5]] => [[1,5,6],[6]] [[1,6,6],[6]] => [[1,6,6,6]] [[2,2,2],[6]] => [[2,2,2,6]] [[2,2,3],[6]] => [[2,2,3,6]] [[2,2,6],[3]] => [[2,2,3],[6]] [[2,2,4],[6]] => [[2,2,4,6]] [[2,2,6],[4]] => [[2,2,4],[6]] [[2,2,5],[6]] => [[2,2,5,6]] [[2,2,6],[5]] => [[2,2,5],[6]] [[2,2,6],[6]] => [[2,2,6,6]] [[2,3,3],[6]] => [[2,3,3,6]] [[2,3,6],[3]] => [[2,3,3],[6]] [[2,3,4],[6]] => [[2,3,4,6]] [[2,3,6],[4]] => [[2,3,4],[6]] [[2,4,6],[3]] => [[2,3,6],[4]] [[2,3,5],[6]] => [[2,3,5,6]] [[2,3,6],[5]] => [[2,3,5],[6]] [[2,5,6],[3]] => [[2,3,6],[5]] [[2,3,6],[6]] => [[2,3,6,6]] [[2,6,6],[3]] => [[2,3,6],[6]] [[2,4,4],[6]] => [[2,4,4,6]] [[2,4,6],[4]] => [[2,4,4],[6]] [[2,4,5],[6]] => [[2,4,5,6]] [[2,4,6],[5]] => [[2,4,5],[6]] [[2,5,6],[4]] => [[2,4,6],[5]] [[2,4,6],[6]] => [[2,4,6,6]] [[2,6,6],[4]] => [[2,4,6],[6]] [[2,5,5],[6]] => [[2,5,5,6]] [[2,5,6],[5]] => [[2,5,5],[6]] [[2,5,6],[6]] => [[2,5,6,6]] [[2,6,6],[5]] => [[2,5,6],[6]] [[2,6,6],[6]] => [[2,6,6,6]] [[3,3,3],[6]] => [[3,3,3,6]] [[3,3,4],[6]] => [[3,3,4,6]] [[3,3,6],[4]] => [[3,3,4],[6]] [[3,3,5],[6]] => [[3,3,5,6]] [[3,3,6],[5]] => [[3,3,5],[6]] [[3,3,6],[6]] => [[3,3,6,6]] [[3,4,4],[6]] => [[3,4,4,6]] [[3,4,6],[4]] => [[3,4,4],[6]] [[3,4,5],[6]] => [[3,4,5,6]] [[3,4,6],[5]] => [[3,4,5],[6]] [[3,5,6],[4]] => [[3,4,6],[5]] [[3,4,6],[6]] => [[3,4,6,6]] [[3,6,6],[4]] => [[3,4,6],[6]] [[3,5,5],[6]] => [[3,5,5,6]] [[3,5,6],[5]] => [[3,5,5],[6]] [[3,5,6],[6]] => [[3,5,6,6]] [[3,6,6],[5]] => [[3,5,6],[6]] [[3,6,6],[6]] => [[3,6,6,6]] [[4,4,4],[6]] => [[4,4,4,6]] [[4,4,5],[6]] => [[4,4,5,6]] [[4,4,6],[5]] => [[4,4,5],[6]] [[4,4,6],[6]] => [[4,4,6,6]] [[4,5,5],[6]] => [[4,5,5,6]] [[4,5,6],[5]] => [[4,5,5],[6]] [[4,5,6],[6]] => [[4,5,6,6]] [[4,6,6],[5]] => [[4,5,6],[6]] [[4,6,6],[6]] => [[4,6,6,6]] [[5,5,5],[6]] => [[5,5,5,6]] [[5,5,6],[6]] => [[5,5,6,6]] [[5,6,6],[6]] => [[5,6,6,6]] [[1,1],[2,6]] => [[1,1,2,6]] [[1,1],[3,6]] => [[1,1,3,6]] [[1,1],[4,6]] => [[1,1,4,6]] [[1,1],[5,6]] => [[1,1,5,6]] [[1,1],[6,6]] => [[1,1,6,6]] [[1,2],[2,6]] => [[1,2,2,6]] [[1,2],[3,6]] => [[1,2,3,6]] [[1,3],[2,6]] => [[1,2,6],[3]] [[1,2],[4,6]] => [[1,2,4,6]] [[1,4],[2,6]] => [[1,2,6],[4]] [[1,2],[5,6]] => [[1,2,5,6]] [[1,5],[2,6]] => [[1,2,6],[5]] [[1,2],[6,6]] => [[1,2,6,6]] [[1,3],[3,6]] => [[1,3,3,6]] [[1,3],[4,6]] => [[1,3,4,6]] [[1,4],[3,6]] => [[1,3,6],[4]] [[1,3],[5,6]] => [[1,3,5,6]] [[1,5],[3,6]] => [[1,3,6],[5]] [[1,3],[6,6]] => [[1,3,6,6]] [[1,4],[4,6]] => [[1,4,4,6]] [[1,4],[5,6]] => [[1,4,5,6]] [[1,5],[4,6]] => [[1,4,6],[5]] [[1,4],[6,6]] => [[1,4,6,6]] [[1,5],[5,6]] => [[1,5,5,6]] [[1,5],[6,6]] => [[1,5,6,6]] [[2,2],[3,6]] => [[2,2,3,6]] [[2,2],[4,6]] => [[2,2,4,6]] [[2,2],[5,6]] => [[2,2,5,6]] [[2,2],[6,6]] => [[2,2,6,6]] [[2,3],[3,6]] => [[2,3,3,6]] [[2,3],[4,6]] => [[2,3,4,6]] [[2,4],[3,6]] => [[2,3,6],[4]] [[2,3],[5,6]] => [[2,3,5,6]] [[2,5],[3,6]] => [[2,3,6],[5]] [[2,3],[6,6]] => [[2,3,6,6]] [[2,4],[4,6]] => [[2,4,4,6]] [[2,4],[5,6]] => [[2,4,5,6]] [[2,5],[4,6]] => [[2,4,6],[5]] [[2,4],[6,6]] => [[2,4,6,6]] [[2,5],[5,6]] => [[2,5,5,6]] [[2,5],[6,6]] => [[2,5,6,6]] [[3,3],[4,6]] => [[3,3,4,6]] [[3,3],[5,6]] => [[3,3,5,6]] [[3,3],[6,6]] => [[3,3,6,6]] [[3,4],[4,6]] => [[3,4,4,6]] [[3,4],[5,6]] => [[3,4,5,6]] [[3,5],[4,6]] => [[3,4,6],[5]] [[3,4],[6,6]] => [[3,4,6,6]] [[3,5],[5,6]] => [[3,5,5,6]] [[3,5],[6,6]] => [[3,5,6,6]] [[4,4],[5,6]] => [[4,4,5,6]] [[4,4],[6,6]] => [[4,4,6,6]] [[4,5],[5,6]] => [[4,5,5,6]] [[4,5],[6,6]] => [[4,5,6,6]] [[5,5],[6,6]] => [[5,5,6,6]] [[1,1],[2],[6]] => [[1,1,2],[6]] [[1,1],[3],[6]] => [[1,1,3],[6]] [[1,1],[4],[6]] => [[1,1,4],[6]] [[1,1],[5],[6]] => [[1,1,5],[6]] [[1,2],[2],[6]] => [[1,2,2],[6]] [[1,2],[3],[6]] => [[1,2,3],[6]] [[1,3],[2],[6]] => [[1,2,6],[3]] [[1,6],[2],[3]] => [[1,2],[3],[6]] [[1,2],[4],[6]] => [[1,2,4],[6]] [[1,4],[2],[6]] => [[1,2,6],[4]] [[1,6],[2],[4]] => [[1,2],[4],[6]] [[1,2],[5],[6]] => [[1,2,5],[6]] [[1,5],[2],[6]] => [[1,2,6],[5]] [[1,6],[2],[5]] => [[1,2],[5],[6]] [[1,6],[2],[6]] => [[1,2,6],[6]] [[1,3],[3],[6]] => [[1,3,3],[6]] [[1,3],[4],[6]] => [[1,3,4],[6]] [[1,4],[3],[6]] => [[1,3,6],[4]] [[1,6],[3],[4]] => [[1,3],[4],[6]] [[1,3],[5],[6]] => [[1,3,5],[6]] [[1,5],[3],[6]] => [[1,3,6],[5]] [[1,1,1,1,2]] => [[1,1,1,1,2]] [[1,1,1,2,2]] => [[1,1,1,2,2]] [[1,1,2,2,2]] => [[1,1,2,2,2]] [[1,2,2,2,2]] => [[1,2,2,2,2]] [[2,2,2,2,2]] => [[2,2,2,2,2]] [[1,1,1,1],[2]] => [[1,1,1,1,2]] [[1,1,1,2],[2]] => [[1,1,1,2,2]] [[1,1,2,2],[2]] => [[1,1,2,2,2]] [[1,2,2,2],[2]] => [[1,2,2,2,2]] [[1,1,1],[2,2]] => [[1,1,1,2,2]] [[1,1,2],[2,2]] => [[1,1,2,2,2]] [[1,1,1,1,3]] => [[1,1,1,1,3]] [[1,1,1,2,3]] => [[1,1,1,2,3]] [[1,1,1,3,3]] => [[1,1,1,3,3]] [[1,1,2,2,3]] => [[1,1,2,2,3]] [[1,1,2,3,3]] => [[1,1,2,3,3]] [[1,1,3,3,3]] => [[1,1,3,3,3]] [[1,2,2,2,3]] => [[1,2,2,2,3]] [[1,2,2,3,3]] => [[1,2,2,3,3]] [[1,2,3,3,3]] => [[1,2,3,3,3]] [[1,3,3,3,3]] => [[1,3,3,3,3]] [[2,2,2,2,3]] => [[2,2,2,2,3]] [[2,2,2,3,3]] => [[2,2,2,3,3]] [[2,2,3,3,3]] => [[2,2,3,3,3]] [[2,3,3,3,3]] => [[2,3,3,3,3]] [[3,3,3,3,3]] => [[3,3,3,3,3]] [[1,1,1,1],[3]] => [[1,1,1,1,3]] [[1,1,1,2],[3]] => [[1,1,1,2,3]] [[1,1,1,3],[2]] => [[1,1,1,2],[3]] [[1,1,1,3],[3]] => [[1,1,1,3,3]] [[1,1,2,2],[3]] => [[1,1,2,2,3]] [[1,1,2,3],[2]] => [[1,1,2,2],[3]] [[1,1,2,3],[3]] => [[1,1,2,3,3]] [[1,1,3,3],[2]] => [[1,1,2,3],[3]] [[1,1,3,3],[3]] => [[1,1,3,3,3]] [[1,2,2,2],[3]] => [[1,2,2,2,3]] [[1,2,2,3],[2]] => [[1,2,2,2],[3]] [[1,2,2,3],[3]] => [[1,2,2,3,3]] [[1,2,3,3],[2]] => [[1,2,2,3],[3]] [[1,2,3,3],[3]] => [[1,2,3,3,3]] [[1,3,3,3],[2]] => [[1,2,3,3],[3]] [[1,3,3,3],[3]] => [[1,3,3,3,3]] [[2,2,2,2],[3]] => [[2,2,2,2,3]] [[2,2,2,3],[3]] => [[2,2,2,3,3]] [[2,2,3,3],[3]] => [[2,2,3,3,3]] [[2,3,3,3],[3]] => [[2,3,3,3,3]] [[1,1,1],[2,3]] => [[1,1,1,2,3]] [[1,1,1],[3,3]] => [[1,1,1,3,3]] [[1,1,2],[2,3]] => [[1,1,2,2,3]] [[1,1,3],[2,2]] => [[1,1,2,2],[3]] [[1,1,2],[3,3]] => [[1,1,2,3,3]] [[1,1,3],[2,3]] => [[1,1,2,3],[3]] [[1,1,3],[3,3]] => [[1,1,3,3,3]] [[1,2,2],[2,3]] => [[1,2,2,2,3]] [[1,2,2],[3,3]] => [[1,2,2,3,3]] [[1,2,3],[2,3]] => [[1,2,2,3],[3]] [[1,2,3],[3,3]] => [[1,2,3,3,3]] [[2,2,2],[3,3]] => [[2,2,2,3,3]] [[2,2,3],[3,3]] => [[2,2,3,3,3]] [[1,1,1],[2],[3]] => [[1,1,1,2],[3]] [[1,1,2],[2],[3]] => [[1,1,2,2],[3]] [[1,1,3],[2],[3]] => [[1,1,2,3],[3]] [[1,2,2],[2],[3]] => [[1,2,2,2],[3]] [[1,2,3],[2],[3]] => [[1,2,2,3],[3]] [[1,3,3],[2],[3]] => [[1,2,3,3],[3]] [[1,1],[2,2],[3]] => [[1,1,2,2],[3]] [[1,1],[2,3],[3]] => [[1,1,2,3],[3]] [[1,2],[2,3],[3]] => [[1,2,2,3],[3]] [[1,1,1,1,4]] => [[1,1,1,1,4]] [[1,1,1,2,4]] => [[1,1,1,2,4]] [[1,1,1,3,4]] => [[1,1,1,3,4]] [[1,1,1,4,4]] => [[1,1,1,4,4]] [[1,1,2,2,4]] => [[1,1,2,2,4]] [[1,1,2,3,4]] => [[1,1,2,3,4]] [[1,1,2,4,4]] => [[1,1,2,4,4]] [[1,1,3,3,4]] => [[1,1,3,3,4]] [[1,1,3,4,4]] => [[1,1,3,4,4]] [[1,1,4,4,4]] => [[1,1,4,4,4]] [[1,2,2,2,4]] => [[1,2,2,2,4]] [[1,2,2,3,4]] => [[1,2,2,3,4]] [[1,2,2,4,4]] => [[1,2,2,4,4]] [[1,2,3,3,4]] => [[1,2,3,3,4]] [[1,2,3,4,4]] => [[1,2,3,4,4]] [[1,2,4,4,4]] => [[1,2,4,4,4]] [[1,3,3,3,4]] => [[1,3,3,3,4]] [[1,3,3,4,4]] => [[1,3,3,4,4]] [[1,3,4,4,4]] => [[1,3,4,4,4]] [[1,4,4,4,4]] => [[1,4,4,4,4]] [[2,2,2,2,4]] => [[2,2,2,2,4]] [[2,2,2,3,4]] => [[2,2,2,3,4]] [[2,2,2,4,4]] => [[2,2,2,4,4]] [[2,2,3,3,4]] => [[2,2,3,3,4]] [[2,2,3,4,4]] => [[2,2,3,4,4]] [[2,2,4,4,4]] => [[2,2,4,4,4]] [[2,3,3,3,4]] => [[2,3,3,3,4]] [[2,3,3,4,4]] => [[2,3,3,4,4]] [[2,3,4,4,4]] => [[2,3,4,4,4]] [[2,4,4,4,4]] => [[2,4,4,4,4]] [[3,3,3,3,4]] => [[3,3,3,3,4]] [[3,3,3,4,4]] => [[3,3,3,4,4]] [[3,3,4,4,4]] => [[3,3,4,4,4]] [[3,4,4,4,4]] => [[3,4,4,4,4]] [[4,4,4,4,4]] => [[4,4,4,4,4]] [[1,1,1,1],[4]] => [[1,1,1,1,4]] [[1,1,1,2],[4]] => [[1,1,1,2,4]] [[1,1,1,4],[2]] => [[1,1,1,2],[4]] [[1,1,1,3],[4]] => [[1,1,1,3,4]] [[1,1,1,4],[3]] => [[1,1,1,3],[4]] [[1,1,1,4],[4]] => [[1,1,1,4,4]] [[1,1,2,2],[4]] => [[1,1,2,2,4]] [[1,1,2,4],[2]] => [[1,1,2,2],[4]] [[1,1,2,3],[4]] => [[1,1,2,3,4]] [[1,1,2,4],[3]] => [[1,1,2,3],[4]] [[1,1,3,4],[2]] => [[1,1,2,4],[3]] [[1,1,2,4],[4]] => [[1,1,2,4,4]] [[1,1,4,4],[2]] => [[1,1,2,4],[4]] [[1,1,3,3],[4]] => [[1,1,3,3,4]] [[1,1,3,4],[3]] => [[1,1,3,3],[4]] [[1,1,3,4],[4]] => [[1,1,3,4,4]] [[1,1,4,4],[3]] => [[1,1,3,4],[4]] [[1,1,4,4],[4]] => [[1,1,4,4,4]] [[1,2,2,2],[4]] => [[1,2,2,2,4]] [[1,2,2,4],[2]] => [[1,2,2,2],[4]] [[1,2,2,3],[4]] => [[1,2,2,3,4]] [[1,2,2,4],[3]] => [[1,2,2,3],[4]] [[1,2,3,4],[2]] => [[1,2,2,4],[3]] [[1,2,2,4],[4]] => [[1,2,2,4,4]] [[1,2,4,4],[2]] => [[1,2,2,4],[4]] [[1,2,3,3],[4]] => [[1,2,3,3,4]] [[1,2,3,4],[3]] => [[1,2,3,3],[4]] [[1,3,3,4],[2]] => [[1,2,3,4],[3]] [[1,2,3,4],[4]] => [[1,2,3,4,4]] [[1,2,4,4],[3]] => [[1,2,3,4],[4]] [[1,3,4,4],[2]] => [[1,2,4,4],[3]] [[1,2,4,4],[4]] => [[1,2,4,4,4]] [[1,4,4,4],[2]] => [[1,2,4,4],[4]] [[1,3,3,3],[4]] => [[1,3,3,3,4]] [[1,3,3,4],[3]] => [[1,3,3,3],[4]] [[1,3,3,4],[4]] => [[1,3,3,4,4]] [[1,3,4,4],[3]] => [[1,3,3,4],[4]] [[1,3,4,4],[4]] => [[1,3,4,4,4]] [[1,4,4,4],[3]] => [[1,3,4,4],[4]] [[1,4,4,4],[4]] => [[1,4,4,4,4]] [[2,2,2,2],[4]] => [[2,2,2,2,4]] [[2,2,2,3],[4]] => [[2,2,2,3,4]] [[2,2,2,4],[3]] => [[2,2,2,3],[4]] [[2,2,2,4],[4]] => [[2,2,2,4,4]] [[2,2,3,3],[4]] => [[2,2,3,3,4]] [[2,2,3,4],[3]] => [[2,2,3,3],[4]] [[2,2,3,4],[4]] => [[2,2,3,4,4]] [[2,2,4,4],[3]] => [[2,2,3,4],[4]] [[2,2,4,4],[4]] => [[2,2,4,4,4]] [[2,3,3,3],[4]] => [[2,3,3,3,4]] [[2,3,3,4],[3]] => [[2,3,3,3],[4]] [[2,3,3,4],[4]] => [[2,3,3,4,4]] [[2,3,4,4],[3]] => [[2,3,3,4],[4]] [[2,3,4,4],[4]] => [[2,3,4,4,4]] [[2,4,4,4],[3]] => [[2,3,4,4],[4]] [[2,4,4,4],[4]] => [[2,4,4,4,4]] [[3,3,3,3],[4]] => [[3,3,3,3,4]] [[3,3,3,4],[4]] => [[3,3,3,4,4]] [[3,3,4,4],[4]] => [[3,3,4,4,4]] [[3,4,4,4],[4]] => [[3,4,4,4,4]] [[1,1,1],[2,4]] => [[1,1,1,2,4]] [[1,1,1],[3,4]] => [[1,1,1,3,4]] [[1,1,1],[4,4]] => [[1,1,1,4,4]] [[1,1,2],[2,4]] => [[1,1,2,2,4]] [[1,1,4],[2,2]] => [[1,1,2,2],[4]] [[1,1,2],[3,4]] => [[1,1,2,3,4]] [[1,1,3],[2,4]] => [[1,1,2,4],[3]] [[1,1,4],[2,3]] => [[1,1,2,3],[4]] [[1,1,2],[4,4]] => [[1,1,2,4,4]] [[1,1,4],[2,4]] => [[1,1,2,4],[4]] [[1,1,3],[3,4]] => [[1,1,3,3,4]] [[1,1,4],[3,3]] => [[1,1,3,3],[4]] [[1,1,3],[4,4]] => [[1,1,3,4,4]] [[1,1,4],[3,4]] => [[1,1,3,4],[4]] [[1,1,4],[4,4]] => [[1,1,4,4,4]] [[1,2,2],[2,4]] => [[1,2,2,2,4]] [[1,2,2],[3,4]] => [[1,2,2,3,4]] [[1,2,3],[2,4]] => [[1,2,2,4],[3]] [[1,2,4],[2,3]] => [[1,2,2,3],[4]] [[1,2,2],[4,4]] => [[1,2,2,4,4]] [[1,2,4],[2,4]] => [[1,2,2,4],[4]] [[1,2,3],[3,4]] => [[1,2,3,3,4]] [[1,2,4],[3,3]] => [[1,2,3,3],[4]] [[1,3,3],[2,4]] => [[1,2,3,4],[3]] [[1,2,3],[4,4]] => [[1,2,3,4,4]] [[1,2,4],[3,4]] => [[1,2,3,4],[4]] [[1,3,4],[2,4]] => [[1,2,4,4],[3]] [[1,2,4],[4,4]] => [[1,2,4,4,4]] [[1,3,3],[3,4]] => [[1,3,3,3,4]] [[1,3,3],[4,4]] => [[1,3,3,4,4]] [[1,3,4],[3,4]] => [[1,3,3,4],[4]] [[1,3,4],[4,4]] => [[1,3,4,4,4]] [[2,2,2],[3,4]] => [[2,2,2,3,4]] [[2,2,2],[4,4]] => [[2,2,2,4,4]] [[2,2,3],[3,4]] => [[2,2,3,3,4]] [[2,2,4],[3,3]] => [[2,2,3,3],[4]] [[2,2,3],[4,4]] => [[2,2,3,4,4]] [[2,2,4],[3,4]] => [[2,2,3,4],[4]] [[2,2,4],[4,4]] => [[2,2,4,4,4]] [[2,3,3],[3,4]] => [[2,3,3,3,4]] [[2,3,3],[4,4]] => [[2,3,3,4,4]] [[2,3,4],[3,4]] => [[2,3,3,4],[4]] [[2,3,4],[4,4]] => [[2,3,4,4,4]] [[3,3,3],[4,4]] => [[3,3,3,4,4]] [[3,3,4],[4,4]] => [[3,3,4,4,4]] [[1,1,1],[2],[4]] => [[1,1,1,2],[4]] [[1,1,1],[3],[4]] => [[1,1,1,3],[4]] [[1,1,2],[2],[4]] => [[1,1,2,2],[4]] [[1,1,2],[3],[4]] => [[1,1,2,3],[4]] [[1,1,3],[2],[4]] => [[1,1,2,4],[3]] [[1,1,4],[2],[3]] => [[1,1,2],[3],[4]] [[1,1,4],[2],[4]] => [[1,1,2,4],[4]] [[1,1,3],[3],[4]] => [[1,1,3,3],[4]] [[1,1,4],[3],[4]] => [[1,1,3,4],[4]] [[1,2,2],[2],[4]] => [[1,2,2,2],[4]] [[1,2,2],[3],[4]] => [[1,2,2,3],[4]] [[1,2,3],[2],[4]] => [[1,2,2,4],[3]] [[1,2,4],[2],[3]] => [[1,2,2],[3],[4]] [[1,2,4],[2],[4]] => [[1,2,2,4],[4]] [[1,2,3],[3],[4]] => [[1,2,3,3],[4]] [[1,3,3],[2],[4]] => [[1,2,3,4],[3]] [[1,3,4],[2],[3]] => [[1,2,3],[3],[4]] [[1,2,4],[3],[4]] => [[1,2,3,4],[4]] [[1,3,4],[2],[4]] => [[1,2,4,4],[3]] [[1,4,4],[2],[3]] => [[1,2,4],[3],[4]] [[1,4,4],[2],[4]] => [[1,2,4,4],[4]] [[1,3,3],[3],[4]] => [[1,3,3,3],[4]] [[1,3,4],[3],[4]] => [[1,3,3,4],[4]] [[1,4,4],[3],[4]] => [[1,3,4,4],[4]] [[2,2,2],[3],[4]] => [[2,2,2,3],[4]] [[2,2,3],[3],[4]] => [[2,2,3,3],[4]] [[2,2,4],[3],[4]] => [[2,2,3,4],[4]] [[2,3,3],[3],[4]] => [[2,3,3,3],[4]] [[2,3,4],[3],[4]] => [[2,3,3,4],[4]] [[2,4,4],[3],[4]] => [[2,3,4,4],[4]] [[1,1],[2,2],[4]] => [[1,1,2,2],[4]] [[1,1],[2,3],[4]] => [[1,1,2,3],[4]] [[1,1],[2,4],[3]] => [[1,1,2,4],[3]] [[1,1],[2,4],[4]] => [[1,1,2,4],[4]] [[1,1],[3,3],[4]] => [[1,1,3,3],[4]] [[1,1],[3,4],[4]] => [[1,1,3,4],[4]] [[1,2],[2,3],[4]] => [[1,2,2,3],[4]] [[1,2],[2,4],[3]] => [[1,2,2,4],[3]] [[1,2],[2,4],[4]] => [[1,2,2,4],[4]] [[1,2],[3,3],[4]] => [[1,2,3,3],[4]] [[1,3],[2,4],[3]] => [[1,2,3,4],[3]] [[1,2],[3,4],[4]] => [[1,2,3,4],[4]] [[1,3],[2,4],[4]] => [[1,2,4,4],[3]] [[1,3],[3,4],[4]] => [[1,3,3,4],[4]] [[2,2],[3,3],[4]] => [[2,2,3,3],[4]] [[2,2],[3,4],[4]] => [[2,2,3,4],[4]] [[2,3],[3,4],[4]] => [[2,3,3,4],[4]] [[1,1],[2],[3],[4]] => [[1,1,2],[3],[4]] [[1,2],[2],[3],[4]] => [[1,2,2],[3],[4]] [[1,3],[2],[3],[4]] => [[1,2,3],[3],[4]] [[1,4],[2],[3],[4]] => [[1,2,4],[3],[4]] [[1,1,1,1,1,2]] => [[1,1,1,1,1,2]] [[1,1,1,1,2,2]] => [[1,1,1,1,2,2]] [[1,1,1,2,2,2]] => [[1,1,1,2,2,2]] [[1,1,2,2,2,2]] => [[1,1,2,2,2,2]] [[1,2,2,2,2,2]] => [[1,2,2,2,2,2]] [[2,2,2,2,2,2]] => [[2,2,2,2,2,2]] [[1,1,1,1,1],[2]] => [[1,1,1,1,1,2]] [[1,1,1,1,2],[2]] => [[1,1,1,1,2,2]] [[1,1,1,2,2],[2]] => [[1,1,1,2,2,2]] [[1,1,2,2,2],[2]] => [[1,1,2,2,2,2]] [[1,2,2,2,2],[2]] => [[1,2,2,2,2,2]] [[1,1,1,1],[2,2]] => [[1,1,1,1,2,2]] [[1,1,1,2],[2,2]] => [[1,1,1,2,2,2]] [[1,1,2,2],[2,2]] => [[1,1,2,2,2,2]] [[1,1,1],[2,2,2]] => [[1,1,1,2,2,2]] [[1,1,1,1,1,3]] => [[1,1,1,1,1,3]] [[1,1,1,1,2,3]] => [[1,1,1,1,2,3]] [[1,1,1,1,3,3]] => [[1,1,1,1,3,3]] [[1,1,1,2,2,3]] => [[1,1,1,2,2,3]] [[1,1,1,2,3,3]] => [[1,1,1,2,3,3]] [[1,1,1,3,3,3]] => [[1,1,1,3,3,3]] [[1,1,2,2,2,3]] => [[1,1,2,2,2,3]] [[1,1,2,2,3,3]] => [[1,1,2,2,3,3]] [[1,1,2,3,3,3]] => [[1,1,2,3,3,3]] [[1,1,3,3,3,3]] => [[1,1,3,3,3,3]] [[1,2,2,2,2,3]] => [[1,2,2,2,2,3]] [[1,2,2,2,3,3]] => [[1,2,2,2,3,3]] [[1,2,2,3,3,3]] => [[1,2,2,3,3,3]] [[1,2,3,3,3,3]] => [[1,2,3,3,3,3]] [[1,3,3,3,3,3]] => [[1,3,3,3,3,3]] [[2,2,2,2,2,3]] => [[2,2,2,2,2,3]] [[2,2,2,2,3,3]] => [[2,2,2,2,3,3]] [[2,2,2,3,3,3]] => [[2,2,2,3,3,3]] [[2,2,3,3,3,3]] => [[2,2,3,3,3,3]] [[2,3,3,3,3,3]] => [[2,3,3,3,3,3]] [[3,3,3,3,3,3]] => [[3,3,3,3,3,3]] [[1,1,1,1,1],[3]] => [[1,1,1,1,1,3]] [[1,1,1,1,2],[3]] => [[1,1,1,1,2,3]] [[1,1,1,1,3],[2]] => [[1,1,1,1,2],[3]] [[1,1,1,1,3],[3]] => [[1,1,1,1,3,3]] [[1,1,1,2,2],[3]] => [[1,1,1,2,2,3]] [[1,1,1,2,3],[2]] => [[1,1,1,2,2],[3]] [[1,1,1,2,3],[3]] => [[1,1,1,2,3,3]] [[1,1,1,3,3],[2]] => [[1,1,1,2,3],[3]] [[1,1,1,3,3],[3]] => [[1,1,1,3,3,3]] [[1,1,2,2,2],[3]] => [[1,1,2,2,2,3]] [[1,1,2,2,3],[2]] => [[1,1,2,2,2],[3]] [[1,1,2,2,3],[3]] => [[1,1,2,2,3,3]] [[1,1,2,3,3],[2]] => [[1,1,2,2,3],[3]] [[1,1,2,3,3],[3]] => [[1,1,2,3,3,3]] [[1,1,3,3,3],[2]] => [[1,1,2,3,3],[3]] [[1,1,3,3,3],[3]] => [[1,1,3,3,3,3]] [[1,2,2,2,2],[3]] => [[1,2,2,2,2,3]] [[1,2,2,2,3],[2]] => [[1,2,2,2,2],[3]] [[1,2,2,2,3],[3]] => [[1,2,2,2,3,3]] [[1,2,2,3,3],[2]] => [[1,2,2,2,3],[3]] [[1,2,2,3,3],[3]] => [[1,2,2,3,3,3]] [[1,2,3,3,3],[2]] => [[1,2,2,3,3],[3]] [[1,2,3,3,3],[3]] => [[1,2,3,3,3,3]] [[1,3,3,3,3],[2]] => [[1,2,3,3,3],[3]] [[1,3,3,3,3],[3]] => [[1,3,3,3,3,3]] [[2,2,2,2,2],[3]] => [[2,2,2,2,2,3]] [[2,2,2,2,3],[3]] => [[2,2,2,2,3,3]] [[2,2,2,3,3],[3]] => [[2,2,2,3,3,3]] [[2,2,3,3,3],[3]] => [[2,2,3,3,3,3]] [[2,3,3,3,3],[3]] => [[2,3,3,3,3,3]] [[1,1,1,1],[2,3]] => [[1,1,1,1,2,3]] [[1,1,1,1],[3,3]] => [[1,1,1,1,3,3]] [[1,1,1,2],[2,3]] => [[1,1,1,2,2,3]] [[1,1,1,3],[2,2]] => [[1,1,1,2,2],[3]] [[1,1,1,2],[3,3]] => [[1,1,1,2,3,3]] [[1,1,1,3],[2,3]] => [[1,1,1,2,3],[3]] [[1,1,1,3],[3,3]] => [[1,1,1,3,3,3]] [[1,1,2,2],[2,3]] => [[1,1,2,2,2,3]] [[1,1,2,3],[2,2]] => [[1,1,2,2,2],[3]] [[1,1,2,2],[3,3]] => [[1,1,2,2,3,3]] [[1,1,2,3],[2,3]] => [[1,1,2,2,3],[3]] [[1,1,3,3],[2,2]] => [[1,1,2,2],[3,3]] [[1,1,2,3],[3,3]] => [[1,1,2,3,3,3]] [[1,1,3,3],[2,3]] => [[1,1,2,3,3],[3]] [[1,1,3,3],[3,3]] => [[1,1,3,3,3,3]] [[1,2,2,2],[2,3]] => [[1,2,2,2,2,3]] [[1,2,2,2],[3,3]] => [[1,2,2,2,3,3]] [[1,2,2,3],[2,3]] => [[1,2,2,2,3],[3]] [[1,2,2,3],[3,3]] => [[1,2,2,3,3,3]] [[1,2,3,3],[2,3]] => [[1,2,2,3,3],[3]] [[1,2,3,3],[3,3]] => [[1,2,3,3,3,3]] [[2,2,2,2],[3,3]] => [[2,2,2,2,3,3]] [[2,2,2,3],[3,3]] => [[2,2,2,3,3,3]] [[2,2,3,3],[3,3]] => [[2,2,3,3,3,3]] [[1,1,1,1],[2],[3]] => [[1,1,1,1,2],[3]] [[1,1,1,2],[2],[3]] => [[1,1,1,2,2],[3]] [[1,1,1,3],[2],[3]] => [[1,1,1,2,3],[3]] [[1,1,2,2],[2],[3]] => [[1,1,2,2,2],[3]] [[1,1,2,3],[2],[3]] => [[1,1,2,2,3],[3]] [[1,1,3,3],[2],[3]] => [[1,1,2,3,3],[3]] [[1,2,2,2],[2],[3]] => [[1,2,2,2,2],[3]] [[1,2,2,3],[2],[3]] => [[1,2,2,2,3],[3]] [[1,2,3,3],[2],[3]] => [[1,2,2,3,3],[3]] [[1,3,3,3],[2],[3]] => [[1,2,3,3,3],[3]] [[1,1,1],[2,2,3]] => [[1,1,1,2,2,3]] [[1,1,1],[2,3,3]] => [[1,1,1,2,3,3]] [[1,1,1],[3,3,3]] => [[1,1,1,3,3,3]] [[1,1,2],[2,2,3]] => [[1,1,2,2,2,3]] [[1,1,2],[2,3,3]] => [[1,1,2,2,3,3]] [[1,1,2],[3,3,3]] => [[1,1,2,3,3,3]] [[1,2,2],[2,3,3]] => [[1,2,2,2,3,3]] [[1,2,2],[3,3,3]] => [[1,2,2,3,3,3]] [[2,2,2],[3,3,3]] => [[2,2,2,3,3,3]] [[1,1,1],[2,2],[3]] => [[1,1,1,2,2],[3]] [[1,1,1],[2,3],[3]] => [[1,1,1,2,3],[3]] [[1,1,2],[2,2],[3]] => [[1,1,2,2,2],[3]] [[1,1,2],[2,3],[3]] => [[1,1,2,2,3],[3]] [[1,1,3],[2,2],[3]] => [[1,1,2,2],[3,3]] [[1,1,3],[2,3],[3]] => [[1,1,2,3,3],[3]] [[1,2,2],[2,3],[3]] => [[1,2,2,2,3],[3]] [[1,2,3],[2,3],[3]] => [[1,2,2,3,3],[3]] [[1,1],[2,2],[3,3]] => [[1,1,2,2],[3,3]] [[1,1,1,1,1,1,2]] => [[1,1,1,1,1,1,2]] [[1,1,1,1,1,2,2]] => [[1,1,1,1,1,2,2]] [[1,1,1,1,2,2,2]] => [[1,1,1,1,2,2,2]] [[1,1,1,2,2,2,2]] => [[1,1,1,2,2,2,2]] [[1,1,2,2,2,2,2]] => [[1,1,2,2,2,2,2]] [[1,2,2,2,2,2,2]] => [[1,2,2,2,2,2,2]] [[2,2,2,2,2,2,2]] => [[2,2,2,2,2,2,2]] [[1,1,1,1,1,1],[2]] => [[1,1,1,1,1,1,2]] [[1,1,1,1,1,2],[2]] => [[1,1,1,1,1,2,2]] [[1,1,1,1,2,2],[2]] => [[1,1,1,1,2,2,2]] [[1,1,1,2,2,2],[2]] => [[1,1,1,2,2,2,2]] [[1,1,2,2,2,2],[2]] => [[1,1,2,2,2,2,2]] [[1,2,2,2,2,2],[2]] => [[1,2,2,2,2,2,2]] [[1,1,1,1,1],[2,2]] => [[1,1,1,1,1,2,2]] [[1,1,1,1,2],[2,2]] => [[1,1,1,1,2,2,2]] [[1,1,1,2,2],[2,2]] => [[1,1,1,2,2,2,2]] [[1,1,2,2,2],[2,2]] => [[1,1,2,2,2,2,2]] [[1,1,1,1],[2,2,2]] => [[1,1,1,1,2,2,2]] [[1,1,1,2],[2,2,2]] => [[1,1,1,2,2,2,2]] ----------------------------------------------------------------------------- Created: Jan 29, 2020 at 13:26 by FindStatCrew ----------------------------------------------------------------------------- Last Updated: Jan 29, 2020 at 13:26 by Martin Rubey