************************************************************************ * 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: Mp00177 ------------------------------------------------------------------------ Map name: transpose ------------------------------------------------------------------------ Domain: Plane partitions ------------------------------------------------------------------------ Codomain: Plane partitions ------------------------------------------------------------------------ Description: The transpose of a plane partition. This is the mirror symmetry along the vertical axis. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(pp): return PlanePartition([Partition(la) for la in pp.transpose()]) ------------------------------------------------------------------------ Map images: [[1]] => [[1]] [[1],[1]] => [[1,1]] [[2]] => [[2]] [[1,1]] => [[1],[1]] [[1],[1],[1]] => [[1,1,1]] [[2],[1]] => [[2,1]] [[1,1],[1]] => [[1,1],[1]] [[3]] => [[3]] [[2,1]] => [[2],[1]] [[1,1,1]] => [[1],[1],[1]] [[1],[1],[1],[1]] => [[1,1,1,1]] [[2],[1],[1]] => [[2,1,1]] [[2],[2]] => [[2,2]] [[1,1],[1],[1]] => [[1,1,1],[1]] [[1,1],[1,1]] => [[1,1],[1,1]] [[3],[1]] => [[3,1]] [[2,1],[1]] => [[2,1],[1]] [[1,1,1],[1]] => [[1,1],[1],[1]] [[4]] => [[4]] [[3,1]] => [[3],[1]] [[2,2]] => [[2],[2]] [[2,1,1]] => [[2],[1],[1]] [[1,1,1,1]] => [[1],[1],[1],[1]] [[1],[1],[1],[1],[1]] => [[1,1,1,1,1]] [[2],[1],[1],[1]] => [[2,1,1,1]] [[2],[2],[1]] => [[2,2,1]] [[1,1],[1],[1],[1]] => [[1,1,1,1],[1]] [[1,1],[1,1],[1]] => [[1,1,1],[1,1]] [[3],[1],[1]] => [[3,1,1]] [[3],[2]] => [[3,2]] [[2,1],[1],[1]] => [[2,1,1],[1]] [[2,1],[2]] => [[2,2],[1]] [[2,1],[1,1]] => [[2,1],[1,1]] [[1,1,1],[1],[1]] => [[1,1,1],[1],[1]] [[1,1,1],[1,1]] => [[1,1],[1,1],[1]] [[4],[1]] => [[4,1]] [[3,1],[1]] => [[3,1],[1]] [[2,2],[1]] => [[2,1],[2]] [[2,1,1],[1]] => [[2,1],[1],[1]] [[1,1,1,1],[1]] => [[1,1],[1],[1],[1]] [[5]] => [[5]] [[4,1]] => [[4],[1]] [[3,2]] => [[3],[2]] [[3,1,1]] => [[3],[1],[1]] [[2,2,1]] => [[2],[2],[1]] [[2,1,1,1]] => [[2],[1],[1],[1]] [[1,1,1,1,1]] => [[1],[1],[1],[1],[1]] [[1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1]] [[2],[1],[1],[1],[1]] => [[2,1,1,1,1]] [[2],[2],[1],[1]] => [[2,2,1,1]] [[2],[2],[2]] => [[2,2,2]] [[1,1],[1],[1],[1],[1]] => [[1,1,1,1,1],[1]] [[1,1],[1,1],[1],[1]] => [[1,1,1,1],[1,1]] [[1,1],[1,1],[1,1]] => [[1,1,1],[1,1,1]] [[3],[1],[1],[1]] => [[3,1,1,1]] [[3],[2],[1]] => [[3,2,1]] [[3],[3]] => [[3,3]] [[2,1],[1],[1],[1]] => [[2,1,1,1],[1]] [[2,1],[2],[1]] => [[2,2,1],[1]] [[2,1],[1,1],[1]] => [[2,1,1],[1,1]] [[2,1],[2,1]] => [[2,2],[1,1]] [[1,1,1],[1],[1],[1]] => [[1,1,1,1],[1],[1]] [[1,1,1],[1,1],[1]] => [[1,1,1],[1,1],[1]] [[1,1,1],[1,1,1]] => [[1,1],[1,1],[1,1]] [[4],[1],[1]] => [[4,1,1]] [[4],[2]] => [[4,2]] [[3,1],[1],[1]] => [[3,1,1],[1]] [[3,1],[2]] => [[3,2],[1]] [[3,1],[1,1]] => [[3,1],[1,1]] [[2,2],[1],[1]] => [[2,1,1],[2]] [[2,2],[2]] => [[2,2],[2]] [[2,2],[1,1]] => [[2,1],[2,1]] [[2,1,1],[1],[1]] => [[2,1,1],[1],[1]] [[2,1,1],[2]] => [[2,2],[1],[1]] [[2,1,1],[1,1]] => [[2,1],[1,1],[1]] [[1,1,1,1],[1],[1]] => [[1,1,1],[1],[1],[1]] [[1,1,1,1],[1,1]] => [[1,1],[1,1],[1],[1]] [[5],[1]] => [[5,1]] [[4,1],[1]] => [[4,1],[1]] [[3,2],[1]] => [[3,1],[2]] [[3,1,1],[1]] => [[3,1],[1],[1]] [[2,2,1],[1]] => [[2,1],[2],[1]] [[2,1,1,1],[1]] => [[2,1],[1],[1],[1]] [[1,1,1,1,1],[1]] => [[1,1],[1],[1],[1],[1]] [[6]] => [[6]] [[5,1]] => [[5],[1]] [[4,2]] => [[4],[2]] [[4,1,1]] => [[4],[1],[1]] [[3,3]] => [[3],[3]] [[3,2,1]] => [[3],[2],[1]] [[3,1,1,1]] => [[3],[1],[1],[1]] [[2,2,2]] => [[2],[2],[2]] [[2,2,1,1]] => [[2],[2],[1],[1]] [[2,1,1,1,1]] => [[2],[1],[1],[1],[1]] [[1,1,1,1,1,1]] => [[1],[1],[1],[1],[1],[1]] [[1],[1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1,1]] [[2],[1],[1],[1],[1],[1]] => [[2,1,1,1,1,1]] [[2],[2],[1],[1],[1]] => [[2,2,1,1,1]] [[2],[2],[2],[1]] => [[2,2,2,1]] [[1,1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1],[1]] [[1,1],[1,1],[1],[1],[1]] => [[1,1,1,1,1],[1,1]] [[1,1],[1,1],[1,1],[1]] => [[1,1,1,1],[1,1,1]] [[3],[1],[1],[1],[1]] => [[3,1,1,1,1]] [[3],[2],[1],[1]] => [[3,2,1,1]] [[3],[2],[2]] => [[3,2,2]] [[3],[3],[1]] => [[3,3,1]] [[2,1],[1],[1],[1],[1]] => [[2,1,1,1,1],[1]] [[2,1],[2],[1],[1]] => [[2,2,1,1],[1]] [[2,1],[2],[2]] => [[2,2,2],[1]] [[2,1],[1,1],[1],[1]] => [[2,1,1,1],[1,1]] [[2,1],[1,1],[1,1]] => [[2,1,1],[1,1,1]] [[2,1],[2,1],[1]] => [[2,2,1],[1,1]] [[1,1,1],[1],[1],[1],[1]] => [[1,1,1,1,1],[1],[1]] [[1,1,1],[1,1],[1],[1]] => [[1,1,1,1],[1,1],[1]] [[1,1,1],[1,1],[1,1]] => [[1,1,1],[1,1,1],[1]] [[1,1,1],[1,1,1],[1]] => [[1,1,1],[1,1],[1,1]] [[4],[1],[1],[1]] => [[4,1,1,1]] [[4],[2],[1]] => [[4,2,1]] [[4],[3]] => [[4,3]] [[3,1],[1],[1],[1]] => [[3,1,1,1],[1]] [[3,1],[2],[1]] => [[3,2,1],[1]] [[3,1],[1,1],[1]] => [[3,1,1],[1,1]] [[3,1],[3]] => [[3,3],[1]] [[3,1],[2,1]] => [[3,2],[1,1]] [[2,2],[1],[1],[1]] => [[2,1,1,1],[2]] [[2,2],[2],[1]] => [[2,2,1],[2]] [[2,2],[1,1],[1]] => [[2,1,1],[2,1]] [[2,2],[2,1]] => [[2,2],[2,1]] [[2,1,1],[1],[1],[1]] => [[2,1,1,1],[1],[1]] [[2,1,1],[2],[1]] => [[2,2,1],[1],[1]] [[2,1,1],[1,1],[1]] => [[2,1,1],[1,1],[1]] [[2,1,1],[2,1]] => [[2,2],[1,1],[1]] [[2,1,1],[1,1,1]] => [[2,1],[1,1],[1,1]] [[1,1,1,1],[1],[1],[1]] => [[1,1,1,1],[1],[1],[1]] [[1,1,1,1],[1,1],[1]] => [[1,1,1],[1,1],[1],[1]] [[1,1,1,1],[1,1,1]] => [[1,1],[1,1],[1,1],[1]] [[5],[1],[1]] => [[5,1,1]] [[5],[2]] => [[5,2]] [[4,1],[1],[1]] => [[4,1,1],[1]] [[4,1],[2]] => [[4,2],[1]] [[4,1],[1,1]] => [[4,1],[1,1]] [[3,2],[1],[1]] => [[3,1,1],[2]] [[3,2],[2]] => [[3,2],[2]] [[3,2],[1,1]] => [[3,1],[2,1]] [[3,1,1],[1],[1]] => [[3,1,1],[1],[1]] [[3,1,1],[2]] => [[3,2],[1],[1]] [[3,1,1],[1,1]] => [[3,1],[1,1],[1]] [[2,2,1],[1],[1]] => [[2,1,1],[2],[1]] [[2,2,1],[2]] => [[2,2],[2],[1]] [[2,2,1],[1,1]] => [[2,1],[2,1],[1]] [[2,1,1,1],[1],[1]] => [[2,1,1],[1],[1],[1]] [[2,1,1,1],[2]] => [[2,2],[1],[1],[1]] [[2,1,1,1],[1,1]] => [[2,1],[1,1],[1],[1]] [[1,1,1,1,1],[1],[1]] => [[1,1,1],[1],[1],[1],[1]] [[1,1,1,1,1],[1,1]] => [[1,1],[1,1],[1],[1],[1]] [[6],[1]] => [[6,1]] [[5,1],[1]] => [[5,1],[1]] [[4,2],[1]] => [[4,1],[2]] [[4,1,1],[1]] => [[4,1],[1],[1]] [[3,3],[1]] => [[3,1],[3]] [[3,2,1],[1]] => [[3,1],[2],[1]] [[3,1,1,1],[1]] => [[3,1],[1],[1],[1]] [[2,2,2],[1]] => [[2,1],[2],[2]] [[2,2,1,1],[1]] => [[2,1],[2],[1],[1]] [[2,1,1,1,1],[1]] => [[2,1],[1],[1],[1],[1]] [[1,1,1,1,1,1],[1]] => [[1,1],[1],[1],[1],[1],[1]] [[7]] => [[7]] [[6,1]] => [[6],[1]] [[5,2]] => [[5],[2]] [[5,1,1]] => [[5],[1],[1]] [[4,3]] => [[4],[3]] [[4,2,1]] => [[4],[2],[1]] [[4,1,1,1]] => [[4],[1],[1],[1]] [[3,3,1]] => [[3],[3],[1]] [[3,2,2]] => [[3],[2],[2]] [[3,2,1,1]] => [[3],[2],[1],[1]] [[3,1,1,1,1]] => [[3],[1],[1],[1],[1]] [[2,2,2,1]] => [[2],[2],[2],[1]] [[2,2,1,1,1]] => [[2],[2],[1],[1],[1]] [[2,1,1,1,1,1]] => [[2],[1],[1],[1],[1],[1]] [[1,1,1,1,1,1,1]] => [[1],[1],[1],[1],[1],[1],[1]] [[1],[1],[1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1,1,1]] [[2],[1],[1],[1],[1],[1],[1]] => [[2,1,1,1,1,1,1]] [[2],[2],[1],[1],[1],[1]] => [[2,2,1,1,1,1]] [[2],[2],[2],[1],[1]] => [[2,2,2,1,1]] [[2],[2],[2],[2]] => [[2,2,2,2]] [[1,1],[1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1,1],[1]] [[1,1],[1,1],[1],[1],[1],[1]] => [[1,1,1,1,1,1],[1,1]] [[1,1],[1,1],[1,1],[1],[1]] => [[1,1,1,1,1],[1,1,1]] [[1,1],[1,1],[1,1],[1,1]] => [[1,1,1,1],[1,1,1,1]] [[3],[1],[1],[1],[1],[1]] => [[3,1,1,1,1,1]] [[3],[2],[1],[1],[1]] => [[3,2,1,1,1]] [[3],[2],[2],[1]] => [[3,2,2,1]] [[3],[3],[1],[1]] => [[3,3,1,1]] [[3],[3],[2]] => [[3,3,2]] [[2,1],[1],[1],[1],[1],[1]] => [[2,1,1,1,1,1],[1]] [[2,1],[2],[1],[1],[1]] => [[2,2,1,1,1],[1]] [[2,1],[2],[2],[1]] => [[2,2,2,1],[1]] [[2,1],[1,1],[1],[1],[1]] => [[2,1,1,1,1],[1,1]] [[2,1],[1,1],[1,1],[1]] => [[2,1,1,1],[1,1,1]] [[2,1],[2,1],[1],[1]] => [[2,2,1,1],[1,1]] [[2,1],[2,1],[2]] => [[2,2,2],[1,1]] [[2,1],[2,1],[1,1]] => [[2,2,1],[1,1,1]] [[1,1,1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1],[1],[1]] [[1,1,1],[1,1],[1],[1],[1]] => [[1,1,1,1,1],[1,1],[1]] [[1,1,1],[1,1],[1,1],[1]] => [[1,1,1,1],[1,1,1],[1]] [[1,1,1],[1,1,1],[1],[1]] => [[1,1,1,1],[1,1],[1,1]] [[1,1,1],[1,1,1],[1,1]] => [[1,1,1],[1,1,1],[1,1]] [[4],[1],[1],[1],[1]] => [[4,1,1,1,1]] [[4],[2],[1],[1]] => [[4,2,1,1]] [[4],[2],[2]] => [[4,2,2]] [[4],[3],[1]] => [[4,3,1]] [[4],[4]] => [[4,4]] [[3,1],[1],[1],[1],[1]] => [[3,1,1,1,1],[1]] [[3,1],[2],[1],[1]] => [[3,2,1,1],[1]] [[3,1],[2],[2]] => [[3,2,2],[1]] [[3,1],[1,1],[1],[1]] => [[3,1,1,1],[1,1]] [[3,1],[1,1],[1,1]] => [[3,1,1],[1,1,1]] [[3,1],[3],[1]] => [[3,3,1],[1]] [[3,1],[2,1],[1]] => [[3,2,1],[1,1]] [[3,1],[3,1]] => [[3,3],[1,1]] [[2,2],[1],[1],[1],[1]] => [[2,1,1,1,1],[2]] [[2,2],[2],[1],[1]] => [[2,2,1,1],[2]] [[2,2],[2],[2]] => [[2,2,2],[2]] [[2,2],[1,1],[1],[1]] => [[2,1,1,1],[2,1]] [[2,2],[1,1],[1,1]] => [[2,1,1],[2,1,1]] [[2,2],[2,1],[1]] => [[2,2,1],[2,1]] [[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],[2],[1],[1]] => [[2,2,1,1],[1],[1]] [[2,1,1],[2],[2]] => [[2,2,2],[1],[1]] [[2,1,1],[1,1],[1],[1]] => [[2,1,1,1],[1,1],[1]] [[2,1,1],[1,1],[1,1]] => [[2,1,1],[1,1,1],[1]] [[2,1,1],[2,1],[1]] => [[2,2,1],[1,1],[1]] [[2,1,1],[1,1,1],[1]] => [[2,1,1],[1,1],[1,1]] [[2,1,1],[2,1,1]] => [[2,2],[1,1],[1,1]] [[1,1,1,1],[1],[1],[1],[1]] => [[1,1,1,1,1],[1],[1],[1]] [[1,1,1,1],[1,1],[1],[1]] => [[1,1,1,1],[1,1],[1],[1]] [[1,1,1,1],[1,1],[1,1]] => [[1,1,1],[1,1,1],[1],[1]] [[1,1,1,1],[1,1,1],[1]] => [[1,1,1],[1,1],[1,1],[1]] [[1,1,1,1],[1,1,1,1]] => [[1,1],[1,1],[1,1],[1,1]] [[5],[1],[1],[1]] => [[5,1,1,1]] [[5],[2],[1]] => [[5,2,1]] [[5],[3]] => [[5,3]] [[4,1],[1],[1],[1]] => [[4,1,1,1],[1]] [[4,1],[2],[1]] => [[4,2,1],[1]] [[4,1],[1,1],[1]] => [[4,1,1],[1,1]] [[4,1],[3]] => [[4,3],[1]] [[4,1],[2,1]] => [[4,2],[1,1]] [[3,2],[1],[1],[1]] => [[3,1,1,1],[2]] [[3,2],[2],[1]] => [[3,2,1],[2]] [[3,2],[1,1],[1]] => [[3,1,1],[2,1]] [[3,2],[3]] => [[3,3],[2]] [[3,2],[2,1]] => [[3,2],[2,1]] [[3,1,1],[1],[1],[1]] => [[3,1,1,1],[1],[1]] [[3,1,1],[2],[1]] => [[3,2,1],[1],[1]] [[3,1,1],[1,1],[1]] => [[3,1,1],[1,1],[1]] [[3,1,1],[3]] => [[3,3],[1],[1]] [[3,1,1],[2,1]] => [[3,2],[1,1],[1]] [[3,1,1],[1,1,1]] => [[3,1],[1,1],[1,1]] [[2,2,1],[1],[1],[1]] => [[2,1,1,1],[2],[1]] [[2,2,1],[2],[1]] => [[2,2,1],[2],[1]] [[2,2,1],[1,1],[1]] => [[2,1,1],[2,1],[1]] [[2,2,1],[2,1]] => [[2,2],[2,1],[1]] [[2,2,1],[1,1,1]] => [[2,1],[2,1],[1,1]] [[2,1,1,1],[1],[1],[1]] => [[2,1,1,1],[1],[1],[1]] [[2,1,1,1],[2],[1]] => [[2,2,1],[1],[1],[1]] [[2,1,1,1],[1,1],[1]] => [[2,1,1],[1,1],[1],[1]] [[2,1,1,1],[2,1]] => [[2,2],[1,1],[1],[1]] [[2,1,1,1],[1,1,1]] => [[2,1],[1,1],[1,1],[1]] [[1,1,1,1,1],[1],[1],[1]] => [[1,1,1,1],[1],[1],[1],[1]] [[1,1,1,1,1],[1,1],[1]] => [[1,1,1],[1,1],[1],[1],[1]] [[1,1,1,1,1],[1,1,1]] => [[1,1],[1,1],[1,1],[1],[1]] [[6],[1],[1]] => [[6,1,1]] [[6],[2]] => [[6,2]] [[5,1],[1],[1]] => [[5,1,1],[1]] [[5,1],[2]] => [[5,2],[1]] [[5,1],[1,1]] => [[5,1],[1,1]] [[4,2],[1],[1]] => [[4,1,1],[2]] [[4,2],[2]] => [[4,2],[2]] [[4,2],[1,1]] => [[4,1],[2,1]] [[4,1,1],[1],[1]] => [[4,1,1],[1],[1]] [[4,1,1],[2]] => [[4,2],[1],[1]] [[4,1,1],[1,1]] => [[4,1],[1,1],[1]] [[3,3],[1],[1]] => [[3,1,1],[3]] [[3,3],[2]] => [[3,2],[3]] [[3,3],[1,1]] => [[3,1],[3,1]] [[3,2,1],[1],[1]] => [[3,1,1],[2],[1]] [[3,2,1],[2]] => [[3,2],[2],[1]] [[3,2,1],[1,1]] => [[3,1],[2,1],[1]] [[3,1,1,1],[1],[1]] => [[3,1,1],[1],[1],[1]] [[3,1,1,1],[2]] => [[3,2],[1],[1],[1]] [[3,1,1,1],[1,1]] => [[3,1],[1,1],[1],[1]] [[2,2,2],[1],[1]] => [[2,1,1],[2],[2]] [[2,2,2],[2]] => [[2,2],[2],[2]] [[2,2,2],[1,1]] => [[2,1],[2,1],[2]] [[2,2,1,1],[1],[1]] => [[2,1,1],[2],[1],[1]] [[2,2,1,1],[2]] => [[2,2],[2],[1],[1]] [[2,2,1,1],[1,1]] => [[2,1],[2,1],[1],[1]] [[2,1,1,1,1],[1],[1]] => [[2,1,1],[1],[1],[1],[1]] [[2,1,1,1,1],[2]] => [[2,2],[1],[1],[1],[1]] [[2,1,1,1,1],[1,1]] => [[2,1],[1,1],[1],[1],[1]] [[1,1,1,1,1,1],[1],[1]] => [[1,1,1],[1],[1],[1],[1],[1]] [[1,1,1,1,1,1],[1,1]] => [[1,1],[1,1],[1],[1],[1],[1]] [[7],[1]] => [[7,1]] [[6,1],[1]] => [[6,1],[1]] [[5,2],[1]] => [[5,1],[2]] [[5,1,1],[1]] => [[5,1],[1],[1]] [[4,3],[1]] => [[4,1],[3]] [[4,2,1],[1]] => [[4,1],[2],[1]] [[4,1,1,1],[1]] => [[4,1],[1],[1],[1]] [[3,3,1],[1]] => [[3,1],[3],[1]] [[3,2,2],[1]] => [[3,1],[2],[2]] [[3,2,1,1],[1]] => [[3,1],[2],[1],[1]] [[3,1,1,1,1],[1]] => [[3,1],[1],[1],[1],[1]] [[2,2,2,1],[1]] => [[2,1],[2],[2],[1]] [[2,2,1,1,1],[1]] => [[2,1],[2],[1],[1],[1]] [[2,1,1,1,1,1],[1]] => [[2,1],[1],[1],[1],[1],[1]] [[1,1,1,1,1,1,1],[1]] => [[1,1],[1],[1],[1],[1],[1],[1]] [[8]] => [[8]] [[7,1]] => [[7],[1]] [[6,2]] => [[6],[2]] [[6,1,1]] => [[6],[1],[1]] [[5,3]] => [[5],[3]] [[5,2,1]] => [[5],[2],[1]] [[5,1,1,1]] => [[5],[1],[1],[1]] [[4,4]] => [[4],[4]] [[4,3,1]] => [[4],[3],[1]] [[4,2,2]] => [[4],[2],[2]] [[4,2,1,1]] => [[4],[2],[1],[1]] [[4,1,1,1,1]] => [[4],[1],[1],[1],[1]] [[3,3,2]] => [[3],[3],[2]] [[3,3,1,1]] => [[3],[3],[1],[1]] [[3,2,2,1]] => [[3],[2],[2],[1]] [[3,2,1,1,1]] => [[3],[2],[1],[1],[1]] [[3,1,1,1,1,1]] => [[3],[1],[1],[1],[1],[1]] [[2,2,2,2]] => [[2],[2],[2],[2]] [[2,2,2,1,1]] => [[2],[2],[2],[1],[1]] [[2,2,1,1,1,1]] => [[2],[2],[1],[1],[1],[1]] [[2,1,1,1,1,1,1]] => [[2],[1],[1],[1],[1],[1],[1]] [[1,1,1,1,1,1,1,1]] => [[1],[1],[1],[1],[1],[1],[1],[1]] [[1],[1],[1],[1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1,1,1,1]] [[2],[1],[1],[1],[1],[1],[1],[1]] => [[2,1,1,1,1,1,1,1]] [[2],[2],[1],[1],[1],[1],[1]] => [[2,2,1,1,1,1,1]] [[2],[2],[2],[1],[1],[1]] => [[2,2,2,1,1,1]] [[2],[2],[2],[2],[1]] => [[2,2,2,2,1]] [[1,1],[1],[1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1,1,1],[1]] [[1,1],[1,1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1,1],[1,1]] [[1,1],[1,1],[1,1],[1],[1],[1]] => [[1,1,1,1,1,1],[1,1,1]] [[1,1],[1,1],[1,1],[1,1],[1]] => [[1,1,1,1,1],[1,1,1,1]] [[3],[1],[1],[1],[1],[1],[1]] => [[3,1,1,1,1,1,1]] [[3],[2],[1],[1],[1],[1]] => [[3,2,1,1,1,1]] [[3],[2],[2],[1],[1]] => [[3,2,2,1,1]] [[3],[2],[2],[2]] => [[3,2,2,2]] [[3],[3],[1],[1],[1]] => [[3,3,1,1,1]] [[3],[3],[2],[1]] => [[3,3,2,1]] [[3],[3],[3]] => [[3,3,3]] [[2,1],[1],[1],[1],[1],[1],[1]] => [[2,1,1,1,1,1,1],[1]] [[2,1],[2],[1],[1],[1],[1]] => [[2,2,1,1,1,1],[1]] [[2,1],[2],[2],[1],[1]] => [[2,2,2,1,1],[1]] [[2,1],[2],[2],[2]] => [[2,2,2,2],[1]] [[2,1],[1,1],[1],[1],[1],[1]] => [[2,1,1,1,1,1],[1,1]] [[2,1],[1,1],[1,1],[1],[1]] => [[2,1,1,1,1],[1,1,1]] [[2,1],[1,1],[1,1],[1,1]] => [[2,1,1,1],[1,1,1,1]] [[2,1],[2,1],[1],[1],[1]] => [[2,2,1,1,1],[1,1]] [[2,1],[2,1],[2],[1]] => [[2,2,2,1],[1,1]] [[2,1],[2,1],[1,1],[1]] => [[2,2,1,1],[1,1,1]] [[2,1],[2,1],[2,1]] => [[2,2,2],[1,1,1]] [[1,1,1],[1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1,1],[1],[1]] [[1,1,1],[1,1],[1],[1],[1],[1]] => [[1,1,1,1,1,1],[1,1],[1]] [[1,1,1],[1,1],[1,1],[1],[1]] => [[1,1,1,1,1],[1,1,1],[1]] [[1,1,1],[1,1],[1,1],[1,1]] => [[1,1,1,1],[1,1,1,1],[1]] [[1,1,1],[1,1,1],[1],[1],[1]] => [[1,1,1,1,1],[1,1],[1,1]] [[1,1,1],[1,1,1],[1,1],[1]] => [[1,1,1,1],[1,1,1],[1,1]] [[1,1,1],[1,1,1],[1,1,1]] => [[1,1,1],[1,1,1],[1,1,1]] [[4],[1],[1],[1],[1],[1]] => [[4,1,1,1,1,1]] [[4],[2],[1],[1],[1]] => [[4,2,1,1,1]] [[4],[2],[2],[1]] => [[4,2,2,1]] [[4],[3],[1],[1]] => [[4,3,1,1]] [[4],[3],[2]] => [[4,3,2]] [[4],[4],[1]] => [[4,4,1]] [[3,1],[1],[1],[1],[1],[1]] => [[3,1,1,1,1,1],[1]] [[3,1],[2],[1],[1],[1]] => [[3,2,1,1,1],[1]] [[3,1],[2],[2],[1]] => [[3,2,2,1],[1]] [[3,1],[1,1],[1],[1],[1]] => [[3,1,1,1,1],[1,1]] [[3,1],[1,1],[1,1],[1]] => [[3,1,1,1],[1,1,1]] [[3,1],[3],[1],[1]] => [[3,3,1,1],[1]] [[3,1],[3],[2]] => [[3,3,2],[1]] [[3,1],[2,1],[1],[1]] => [[3,2,1,1],[1,1]] [[3,1],[2,1],[2]] => [[3,2,2],[1,1]] [[3,1],[2,1],[1,1]] => [[3,2,1],[1,1,1]] [[3,1],[3,1],[1]] => [[3,3,1],[1,1]] [[2,2],[1],[1],[1],[1],[1]] => [[2,1,1,1,1,1],[2]] [[2,2],[2],[1],[1],[1]] => [[2,2,1,1,1],[2]] [[2,2],[2],[2],[1]] => [[2,2,2,1],[2]] [[2,2],[1,1],[1],[1],[1]] => [[2,1,1,1,1],[2,1]] [[2,2],[1,1],[1,1],[1]] => [[2,1,1,1],[2,1,1]] [[2,2],[2,1],[1],[1]] => [[2,2,1,1],[2,1]] [[2,2],[2,1],[2]] => [[2,2,2],[2,1]] [[2,2],[2,1],[1,1]] => [[2,2,1],[2,1,1]] [[2,2],[2,2],[1]] => [[2,2,1],[2,2]] [[2,1,1],[1],[1],[1],[1],[1]] => [[2,1,1,1,1,1],[1],[1]] [[2,1,1],[2],[1],[1],[1]] => [[2,2,1,1,1],[1],[1]] [[2,1,1],[2],[2],[1]] => [[2,2,2,1],[1],[1]] [[2,1,1],[1,1],[1],[1],[1]] => [[2,1,1,1,1],[1,1],[1]] [[2,1,1],[1,1],[1,1],[1]] => [[2,1,1,1],[1,1,1],[1]] [[2,1,1],[2,1],[1],[1]] => [[2,2,1,1],[1,1],[1]] [[2,1,1],[2,1],[2]] => [[2,2,2],[1,1],[1]] [[2,1,1],[2,1],[1,1]] => [[2,2,1],[1,1,1],[1]] [[2,1,1],[1,1,1],[1],[1]] => [[2,1,1,1],[1,1],[1,1]] [[2,1,1],[1,1,1],[1,1]] => [[2,1,1],[1,1,1],[1,1]] [[2,1,1],[2,1,1],[1]] => [[2,2,1],[1,1],[1,1]] [[1,1,1,1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1],[1],[1],[1]] [[1,1,1,1],[1,1],[1],[1],[1]] => [[1,1,1,1,1],[1,1],[1],[1]] [[1,1,1,1],[1,1],[1,1],[1]] => [[1,1,1,1],[1,1,1],[1],[1]] [[1,1,1,1],[1,1,1],[1],[1]] => [[1,1,1,1],[1,1],[1,1],[1]] [[1,1,1,1],[1,1,1],[1,1]] => [[1,1,1],[1,1,1],[1,1],[1]] [[1,1,1,1],[1,1,1,1],[1]] => [[1,1,1],[1,1],[1,1],[1,1]] [[5],[1],[1],[1],[1]] => [[5,1,1,1,1]] [[5],[2],[1],[1]] => [[5,2,1,1]] [[5],[2],[2]] => [[5,2,2]] [[5],[3],[1]] => [[5,3,1]] [[5],[4]] => [[5,4]] [[4,1],[1],[1],[1],[1]] => [[4,1,1,1,1],[1]] [[4,1],[2],[1],[1]] => [[4,2,1,1],[1]] [[4,1],[2],[2]] => [[4,2,2],[1]] [[4,1],[1,1],[1],[1]] => [[4,1,1,1],[1,1]] [[4,1],[1,1],[1,1]] => [[4,1,1],[1,1,1]] [[4,1],[3],[1]] => [[4,3,1],[1]] [[4,1],[2,1],[1]] => [[4,2,1],[1,1]] [[4,1],[4]] => [[4,4],[1]] [[4,1],[3,1]] => [[4,3],[1,1]] [[3,2],[1],[1],[1],[1]] => [[3,1,1,1,1],[2]] [[3,2],[2],[1],[1]] => [[3,2,1,1],[2]] [[3,2],[2],[2]] => [[3,2,2],[2]] [[3,2],[1,1],[1],[1]] => [[3,1,1,1],[2,1]] [[3,2],[1,1],[1,1]] => [[3,1,1],[2,1,1]] [[3,2],[3],[1]] => [[3,3,1],[2]] [[3,2],[2,1],[1]] => [[3,2,1],[2,1]] [[3,2],[3,1]] => [[3,3],[2,1]] [[3,2],[2,2]] => [[3,2],[2,2]] [[3,1,1],[1],[1],[1],[1]] => [[3,1,1,1,1],[1],[1]] [[3,1,1],[2],[1],[1]] => [[3,2,1,1],[1],[1]] [[3,1,1],[2],[2]] => [[3,2,2],[1],[1]] [[3,1,1],[1,1],[1],[1]] => [[3,1,1,1],[1,1],[1]] [[3,1,1],[1,1],[1,1]] => [[3,1,1],[1,1,1],[1]] [[3,1,1],[3],[1]] => [[3,3,1],[1],[1]] [[3,1,1],[2,1],[1]] => [[3,2,1],[1,1],[1]] [[3,1,1],[1,1,1],[1]] => [[3,1,1],[1,1],[1,1]] [[3,1,1],[3,1]] => [[3,3],[1,1],[1]] [[3,1,1],[2,1,1]] => [[3,2],[1,1],[1,1]] [[2,2,1],[1],[1],[1],[1]] => [[2,1,1,1,1],[2],[1]] [[2,2,1],[2],[1],[1]] => [[2,2,1,1],[2],[1]] [[2,2,1],[2],[2]] => [[2,2,2],[2],[1]] [[2,2,1],[1,1],[1],[1]] => [[2,1,1,1],[2,1],[1]] [[2,2,1],[1,1],[1,1]] => [[2,1,1],[2,1,1],[1]] [[2,2,1],[2,1],[1]] => [[2,2,1],[2,1],[1]] [[2,2,1],[1,1,1],[1]] => [[2,1,1],[2,1],[1,1]] [[2,2,1],[2,2]] => [[2,2],[2,2],[1]] [[2,2,1],[2,1,1]] => [[2,2],[2,1],[1,1]] [[2,1,1,1],[1],[1],[1],[1]] => [[2,1,1,1,1],[1],[1],[1]] [[2,1,1,1],[2],[1],[1]] => [[2,2,1,1],[1],[1],[1]] [[2,1,1,1],[2],[2]] => [[2,2,2],[1],[1],[1]] [[2,1,1,1],[1,1],[1],[1]] => [[2,1,1,1],[1,1],[1],[1]] [[2,1,1,1],[1,1],[1,1]] => [[2,1,1],[1,1,1],[1],[1]] [[2,1,1,1],[2,1],[1]] => [[2,2,1],[1,1],[1],[1]] [[2,1,1,1],[1,1,1],[1]] => [[2,1,1],[1,1],[1,1],[1]] [[2,1,1,1],[2,1,1]] => [[2,2],[1,1],[1,1],[1]] [[2,1,1,1],[1,1,1,1]] => [[2,1],[1,1],[1,1],[1,1]] [[1,1,1,1,1],[1],[1],[1],[1]] => [[1,1,1,1,1],[1],[1],[1],[1]] [[1,1,1,1,1],[1,1],[1],[1]] => [[1,1,1,1],[1,1],[1],[1],[1]] [[1,1,1,1,1],[1,1],[1,1]] => [[1,1,1],[1,1,1],[1],[1],[1]] [[1,1,1,1,1],[1,1,1],[1]] => [[1,1,1],[1,1],[1,1],[1],[1]] [[1,1,1,1,1],[1,1,1,1]] => [[1,1],[1,1],[1,1],[1,1],[1]] [[6],[1],[1],[1]] => [[6,1,1,1]] [[6],[2],[1]] => [[6,2,1]] [[6],[3]] => [[6,3]] [[5,1],[1],[1],[1]] => [[5,1,1,1],[1]] [[5,1],[2],[1]] => [[5,2,1],[1]] [[5,1],[1,1],[1]] => [[5,1,1],[1,1]] [[5,1],[3]] => [[5,3],[1]] [[5,1],[2,1]] => [[5,2],[1,1]] [[4,2],[1],[1],[1]] => [[4,1,1,1],[2]] [[4,2],[2],[1]] => [[4,2,1],[2]] [[4,2],[1,1],[1]] => [[4,1,1],[2,1]] [[4,2],[3]] => [[4,3],[2]] [[4,2],[2,1]] => [[4,2],[2,1]] [[4,1,1],[1],[1],[1]] => [[4,1,1,1],[1],[1]] [[4,1,1],[2],[1]] => [[4,2,1],[1],[1]] [[4,1,1],[1,1],[1]] => [[4,1,1],[1,1],[1]] [[4,1,1],[3]] => [[4,3],[1],[1]] [[4,1,1],[2,1]] => [[4,2],[1,1],[1]] [[4,1,1],[1,1,1]] => [[4,1],[1,1],[1,1]] [[3,3],[1],[1],[1]] => [[3,1,1,1],[3]] [[3,3],[2],[1]] => [[3,2,1],[3]] [[3,3],[1,1],[1]] => [[3,1,1],[3,1]] [[3,3],[3]] => [[3,3],[3]] [[3,3],[2,1]] => [[3,2],[3,1]] [[3,2,1],[1],[1],[1]] => [[3,1,1,1],[2],[1]] [[3,2,1],[2],[1]] => [[3,2,1],[2],[1]] [[3,2,1],[1,1],[1]] => [[3,1,1],[2,1],[1]] [[3,2,1],[3]] => [[3,3],[2],[1]] [[3,2,1],[2,1]] => [[3,2],[2,1],[1]] [[3,2,1],[1,1,1]] => [[3,1],[2,1],[1,1]] [[3,1,1,1],[1],[1],[1]] => [[3,1,1,1],[1],[1],[1]] [[3,1,1,1],[2],[1]] => [[3,2,1],[1],[1],[1]] [[3,1,1,1],[1,1],[1]] => [[3,1,1],[1,1],[1],[1]] [[3,1,1,1],[3]] => [[3,3],[1],[1],[1]] [[3,1,1,1],[2,1]] => [[3,2],[1,1],[1],[1]] [[3,1,1,1],[1,1,1]] => [[3,1],[1,1],[1,1],[1]] [[2,2,2],[1],[1],[1]] => [[2,1,1,1],[2],[2]] [[2,2,2],[2],[1]] => [[2,2,1],[2],[2]] [[2,2,2],[1,1],[1]] => [[2,1,1],[2,1],[2]] [[2,2,2],[2,1]] => [[2,2],[2,1],[2]] [[2,2,2],[1,1,1]] => [[2,1],[2,1],[2,1]] [[2,2,1,1],[1],[1],[1]] => [[2,1,1,1],[2],[1],[1]] [[2,2,1,1],[2],[1]] => [[2,2,1],[2],[1],[1]] [[2,2,1,1],[1,1],[1]] => [[2,1,1],[2,1],[1],[1]] [[2,2,1,1],[2,1]] => [[2,2],[2,1],[1],[1]] [[2,2,1,1],[1,1,1]] => [[2,1],[2,1],[1,1],[1]] [[2,1,1,1,1],[1],[1],[1]] => [[2,1,1,1],[1],[1],[1],[1]] [[2,1,1,1,1],[2],[1]] => [[2,2,1],[1],[1],[1],[1]] [[2,1,1,1,1],[1,1],[1]] => [[2,1,1],[1,1],[1],[1],[1]] [[2,1,1,1,1],[2,1]] => [[2,2],[1,1],[1],[1],[1]] [[2,1,1,1,1],[1,1,1]] => [[2,1],[1,1],[1,1],[1],[1]] [[1,1,1,1,1,1],[1],[1],[1]] => [[1,1,1,1],[1],[1],[1],[1],[1]] [[1,1,1,1,1,1],[1,1],[1]] => [[1,1,1],[1,1],[1],[1],[1],[1]] [[1,1,1,1,1,1],[1,1,1]] => [[1,1],[1,1],[1,1],[1],[1],[1]] [[7],[1],[1]] => [[7,1,1]] [[7],[2]] => [[7,2]] [[6,1],[1],[1]] => [[6,1,1],[1]] [[6,1],[2]] => [[6,2],[1]] [[6,1],[1,1]] => [[6,1],[1,1]] [[5,2],[1],[1]] => [[5,1,1],[2]] [[5,2],[2]] => [[5,2],[2]] [[5,2],[1,1]] => [[5,1],[2,1]] [[5,1,1],[1],[1]] => [[5,1,1],[1],[1]] [[5,1,1],[2]] => [[5,2],[1],[1]] [[5,1,1],[1,1]] => [[5,1],[1,1],[1]] [[4,3],[1],[1]] => [[4,1,1],[3]] [[4,3],[2]] => [[4,2],[3]] [[4,3],[1,1]] => [[4,1],[3,1]] [[4,2,1],[1],[1]] => [[4,1,1],[2],[1]] [[4,2,1],[2]] => [[4,2],[2],[1]] [[4,2,1],[1,1]] => [[4,1],[2,1],[1]] [[4,1,1,1],[1],[1]] => [[4,1,1],[1],[1],[1]] [[4,1,1,1],[2]] => [[4,2],[1],[1],[1]] [[4,1,1,1],[1,1]] => [[4,1],[1,1],[1],[1]] [[3,3,1],[1],[1]] => [[3,1,1],[3],[1]] [[3,3,1],[2]] => [[3,2],[3],[1]] [[3,3,1],[1,1]] => [[3,1],[3,1],[1]] [[3,2,2],[1],[1]] => [[3,1,1],[2],[2]] [[3,2,2],[2]] => [[3,2],[2],[2]] [[3,2,2],[1,1]] => [[3,1],[2,1],[2]] [[3,2,1,1],[1],[1]] => [[3,1,1],[2],[1],[1]] [[3,2,1,1],[2]] => [[3,2],[2],[1],[1]] [[3,2,1,1],[1,1]] => [[3,1],[2,1],[1],[1]] [[3,1,1,1,1],[1],[1]] => [[3,1,1],[1],[1],[1],[1]] [[3,1,1,1,1],[2]] => [[3,2],[1],[1],[1],[1]] [[3,1,1,1,1],[1,1]] => [[3,1],[1,1],[1],[1],[1]] [[2,2,2,1],[1],[1]] => [[2,1,1],[2],[2],[1]] [[2,2,2,1],[2]] => [[2,2],[2],[2],[1]] [[2,2,2,1],[1,1]] => [[2,1],[2,1],[2],[1]] [[2,2,1,1,1],[1],[1]] => [[2,1,1],[2],[1],[1],[1]] [[2,2,1,1,1],[2]] => [[2,2],[2],[1],[1],[1]] [[2,2,1,1,1],[1,1]] => [[2,1],[2,1],[1],[1],[1]] [[2,1,1,1,1,1],[1],[1]] => [[2,1,1],[1],[1],[1],[1],[1]] [[2,1,1,1,1,1],[2]] => [[2,2],[1],[1],[1],[1],[1]] [[2,1,1,1,1,1],[1,1]] => [[2,1],[1,1],[1],[1],[1],[1]] [[1,1,1,1,1,1,1],[1],[1]] => [[1,1,1],[1],[1],[1],[1],[1],[1]] [[1,1,1,1,1,1,1],[1,1]] => [[1,1],[1,1],[1],[1],[1],[1],[1]] [[8],[1]] => [[8,1]] [[7,1],[1]] => [[7,1],[1]] [[6,2],[1]] => [[6,1],[2]] [[6,1,1],[1]] => [[6,1],[1],[1]] [[5,3],[1]] => [[5,1],[3]] [[5,2,1],[1]] => [[5,1],[2],[1]] [[5,1,1,1],[1]] => [[5,1],[1],[1],[1]] [[4,4],[1]] => [[4,1],[4]] [[4,3,1],[1]] => [[4,1],[3],[1]] [[4,2,2],[1]] => [[4,1],[2],[2]] [[4,2,1,1],[1]] => [[4,1],[2],[1],[1]] [[4,1,1,1,1],[1]] => [[4,1],[1],[1],[1],[1]] [[3,3,2],[1]] => [[3,1],[3],[2]] [[3,3,1,1],[1]] => [[3,1],[3],[1],[1]] [[3,2,2,1],[1]] => [[3,1],[2],[2],[1]] [[3,2,1,1,1],[1]] => [[3,1],[2],[1],[1],[1]] [[3,1,1,1,1,1],[1]] => [[3,1],[1],[1],[1],[1],[1]] [[2,2,2,2],[1]] => [[2,1],[2],[2],[2]] [[2,2,2,1,1],[1]] => [[2,1],[2],[2],[1],[1]] [[2,2,1,1,1,1],[1]] => [[2,1],[2],[1],[1],[1],[1]] [[2,1,1,1,1,1,1],[1]] => [[2,1],[1],[1],[1],[1],[1],[1]] [[1,1,1,1,1,1,1,1],[1]] => [[1,1],[1],[1],[1],[1],[1],[1],[1]] [[9]] => [[9]] [[8,1]] => [[8],[1]] [[7,2]] => [[7],[2]] [[7,1,1]] => [[7],[1],[1]] [[6,3]] => [[6],[3]] [[6,2,1]] => [[6],[2],[1]] [[6,1,1,1]] => [[6],[1],[1],[1]] [[5,4]] => [[5],[4]] [[5,3,1]] => [[5],[3],[1]] [[5,2,2]] => [[5],[2],[2]] [[5,2,1,1]] => [[5],[2],[1],[1]] [[5,1,1,1,1]] => [[5],[1],[1],[1],[1]] [[4,4,1]] => [[4],[4],[1]] [[4,3,2]] => [[4],[3],[2]] [[4,3,1,1]] => [[4],[3],[1],[1]] [[4,2,2,1]] => [[4],[2],[2],[1]] [[4,2,1,1,1]] => [[4],[2],[1],[1],[1]] [[4,1,1,1,1,1]] => [[4],[1],[1],[1],[1],[1]] [[3,3,3]] => [[3],[3],[3]] [[3,3,2,1]] => [[3],[3],[2],[1]] [[3,3,1,1,1]] => [[3],[3],[1],[1],[1]] [[3,2,2,2]] => [[3],[2],[2],[2]] [[3,2,2,1,1]] => [[3],[2],[2],[1],[1]] [[3,2,1,1,1,1]] => [[3],[2],[1],[1],[1],[1]] [[3,1,1,1,1,1,1]] => [[3],[1],[1],[1],[1],[1],[1]] [[2,2,2,2,1]] => [[2],[2],[2],[2],[1]] [[2,2,2,1,1,1]] => [[2],[2],[2],[1],[1],[1]] [[2,2,1,1,1,1,1]] => [[2],[2],[1],[1],[1],[1],[1]] [[2,1,1,1,1,1,1,1]] => [[2],[1],[1],[1],[1],[1],[1],[1]] [[1,1,1,1,1,1,1,1,1]] => [[1],[1],[1],[1],[1],[1],[1],[1],[1]] [[1],[1],[1],[1],[1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1,1,1,1,1]] [[2],[1],[1],[1],[1],[1],[1],[1],[1]] => [[2,1,1,1,1,1,1,1,1]] [[2],[2],[1],[1],[1],[1],[1],[1]] => [[2,2,1,1,1,1,1,1]] [[2],[2],[2],[1],[1],[1],[1]] => [[2,2,2,1,1,1,1]] [[2],[2],[2],[2],[1],[1]] => [[2,2,2,2,1,1]] [[2],[2],[2],[2],[2]] => [[2,2,2,2,2]] [[1,1],[1],[1],[1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1,1,1,1],[1]] [[1,1],[1,1],[1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1,1,1],[1,1]] [[1,1],[1,1],[1,1],[1],[1],[1],[1]] => [[1,1,1,1,1,1,1],[1,1,1]] [[1,1],[1,1],[1,1],[1,1],[1],[1]] => [[1,1,1,1,1,1],[1,1,1,1]] [[1,1],[1,1],[1,1],[1,1],[1,1]] => [[1,1,1,1,1],[1,1,1,1,1]] [[3],[1],[1],[1],[1],[1],[1],[1]] => [[3,1,1,1,1,1,1,1]] [[3],[2],[1],[1],[1],[1],[1]] => [[3,2,1,1,1,1,1]] [[3],[2],[2],[1],[1],[1]] => [[3,2,2,1,1,1]] [[3],[2],[2],[2],[1]] => [[3,2,2,2,1]] [[3],[3],[1],[1],[1],[1]] => [[3,3,1,1,1,1]] [[3],[3],[2],[1],[1]] => [[3,3,2,1,1]] [[3],[3],[2],[2]] => [[3,3,2,2]] [[3],[3],[3],[1]] => [[3,3,3,1]] [[2,1],[1],[1],[1],[1],[1],[1],[1]] => [[2,1,1,1,1,1,1,1],[1]] [[2,1],[2],[1],[1],[1],[1],[1]] => [[2,2,1,1,1,1,1],[1]] [[2,1],[2],[2],[1],[1],[1]] => [[2,2,2,1,1,1],[1]] [[2,1],[2],[2],[2],[1]] => [[2,2,2,2,1],[1]] [[2,1],[1,1],[1],[1],[1],[1],[1]] => [[2,1,1,1,1,1,1],[1,1]] [[2,1],[1,1],[1,1],[1],[1],[1]] => [[2,1,1,1,1,1],[1,1,1]] [[2,1],[1,1],[1,1],[1,1],[1]] => [[2,1,1,1,1],[1,1,1,1]] [[2,1],[2,1],[1],[1],[1],[1]] => [[2,2,1,1,1,1],[1,1]] [[2,1],[2,1],[2],[1],[1]] => [[2,2,2,1,1],[1,1]] [[2,1],[2,1],[2],[2]] => [[2,2,2,2],[1,1]] [[2,1],[2,1],[1,1],[1],[1]] => [[2,2,1,1,1],[1,1,1]] [[2,1],[2,1],[1,1],[1,1]] => [[2,2,1,1],[1,1,1,1]] [[2,1],[2,1],[2,1],[1]] => [[2,2,2,1],[1,1,1]] [[1,1,1],[1],[1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1,1,1],[1],[1]] [[1,1,1],[1,1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1,1],[1,1],[1]] [[1,1,1],[1,1],[1,1],[1],[1],[1]] => [[1,1,1,1,1,1],[1,1,1],[1]] [[1,1,1],[1,1],[1,1],[1,1],[1]] => [[1,1,1,1,1],[1,1,1,1],[1]] [[1,1,1],[1,1,1],[1],[1],[1],[1]] => [[1,1,1,1,1,1],[1,1],[1,1]] [[1,1,1],[1,1,1],[1,1],[1],[1]] => [[1,1,1,1,1],[1,1,1],[1,1]] [[1,1,1],[1,1,1],[1,1],[1,1]] => [[1,1,1,1],[1,1,1,1],[1,1]] [[1,1,1],[1,1,1],[1,1,1],[1]] => [[1,1,1,1],[1,1,1],[1,1,1]] [[4],[1],[1],[1],[1],[1],[1]] => [[4,1,1,1,1,1,1]] [[4],[2],[1],[1],[1],[1]] => [[4,2,1,1,1,1]] [[4],[2],[2],[1],[1]] => [[4,2,2,1,1]] [[4],[2],[2],[2]] => [[4,2,2,2]] [[4],[3],[1],[1],[1]] => [[4,3,1,1,1]] [[4],[3],[2],[1]] => [[4,3,2,1]] [[4],[3],[3]] => [[4,3,3]] [[4],[4],[1],[1]] => [[4,4,1,1]] [[4],[4],[2]] => [[4,4,2]] [[3,1],[1],[1],[1],[1],[1],[1]] => [[3,1,1,1,1,1,1],[1]] [[3,1],[2],[1],[1],[1],[1]] => [[3,2,1,1,1,1],[1]] [[3,1],[2],[2],[1],[1]] => [[3,2,2,1,1],[1]] [[3,1],[2],[2],[2]] => [[3,2,2,2],[1]] [[3,1],[1,1],[1],[1],[1],[1]] => [[3,1,1,1,1,1],[1,1]] [[3,1],[1,1],[1,1],[1],[1]] => [[3,1,1,1,1],[1,1,1]] [[3,1],[1,1],[1,1],[1,1]] => [[3,1,1,1],[1,1,1,1]] [[3,1],[3],[1],[1],[1]] => [[3,3,1,1,1],[1]] [[3,1],[3],[2],[1]] => [[3,3,2,1],[1]] [[3,1],[3],[3]] => [[3,3,3],[1]] [[3,1],[2,1],[1],[1],[1]] => [[3,2,1,1,1],[1,1]] [[3,1],[2,1],[2],[1]] => [[3,2,2,1],[1,1]] [[3,1],[2,1],[1,1],[1]] => [[3,2,1,1],[1,1,1]] [[3,1],[2,1],[2,1]] => [[3,2,2],[1,1,1]] [[3,1],[3,1],[1],[1]] => [[3,3,1,1],[1,1]] [[3,1],[3,1],[2]] => [[3,3,2],[1,1]] [[3,1],[3,1],[1,1]] => [[3,3,1],[1,1,1]] [[2,2],[1],[1],[1],[1],[1],[1]] => [[2,1,1,1,1,1,1],[2]] [[2,2],[2],[1],[1],[1],[1]] => [[2,2,1,1,1,1],[2]] [[2,2],[2],[2],[1],[1]] => [[2,2,2,1,1],[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],[2,1]] [[2,2],[1,1],[1,1],[1],[1]] => [[2,1,1,1,1],[2,1,1]] [[2,2],[1,1],[1,1],[1,1]] => [[2,1,1,1],[2,1,1,1]] [[2,2],[2,1],[1],[1],[1]] => [[2,2,1,1,1],[2,1]] [[2,2],[2,1],[2],[1]] => [[2,2,2,1],[2,1]] [[2,2],[2,1],[1,1],[1]] => [[2,2,1,1],[2,1,1]] [[2,2],[2,1],[2,1]] => [[2,2,2],[2,1,1]] [[2,2],[2,2],[1],[1]] => [[2,2,1,1],[2,2]] [[2,2],[2,2],[2]] => [[2,2,2],[2,2]] [[2,2],[2,2],[1,1]] => [[2,2,1],[2,2,1]] [[2,1,1],[1],[1],[1],[1],[1],[1]] => [[2,1,1,1,1,1,1],[1],[1]] [[2,1,1],[2],[1],[1],[1],[1]] => [[2,2,1,1,1,1],[1],[1]] [[2,1,1],[2],[2],[1],[1]] => [[2,2,2,1,1],[1],[1]] [[2,1,1],[2],[2],[2]] => [[2,2,2,2],[1],[1]] [[2,1,1],[1,1],[1],[1],[1],[1]] => [[2,1,1,1,1,1],[1,1],[1]] [[2,1,1],[1,1],[1,1],[1],[1]] => [[2,1,1,1,1],[1,1,1],[1]] [[2,1,1],[1,1],[1,1],[1,1]] => [[2,1,1,1],[1,1,1,1],[1]] [[2,1,1],[2,1],[1],[1],[1]] => [[2,2,1,1,1],[1,1],[1]] [[2,1,1],[2,1],[2],[1]] => [[2,2,2,1],[1,1],[1]] [[2,1,1],[2,1],[1,1],[1]] => [[2,2,1,1],[1,1,1],[1]] [[2,1,1],[2,1],[2,1]] => [[2,2,2],[1,1,1],[1]] [[2,1,1],[1,1,1],[1],[1],[1]] => [[2,1,1,1,1],[1,1],[1,1]] [[2,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1],[1,1,1],[1,1]] [[2,1,1],[1,1,1],[1,1,1]] => [[2,1,1],[1,1,1],[1,1,1]] [[2,1,1],[2,1,1],[1],[1]] => [[2,2,1,1],[1,1],[1,1]] [[2,1,1],[2,1,1],[2]] => [[2,2,2],[1,1],[1,1]] [[2,1,1],[2,1,1],[1,1]] => [[2,2,1],[1,1,1],[1,1]] [[1,1,1,1],[1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1,1],[1],[1],[1]] [[1,1,1,1],[1,1],[1],[1],[1],[1]] => [[1,1,1,1,1,1],[1,1],[1],[1]] [[1,1,1,1],[1,1],[1,1],[1],[1]] => [[1,1,1,1,1],[1,1,1],[1],[1]] [[1,1,1,1],[1,1],[1,1],[1,1]] => [[1,1,1,1],[1,1,1,1],[1],[1]] [[1,1,1,1],[1,1,1],[1],[1],[1]] => [[1,1,1,1,1],[1,1],[1,1],[1]] [[1,1,1,1],[1,1,1],[1,1],[1]] => [[1,1,1,1],[1,1,1],[1,1],[1]] [[1,1,1,1],[1,1,1],[1,1,1]] => [[1,1,1],[1,1,1],[1,1,1],[1]] [[1,1,1,1],[1,1,1,1],[1],[1]] => [[1,1,1,1],[1,1],[1,1],[1,1]] [[1,1,1,1],[1,1,1,1],[1,1]] => [[1,1,1],[1,1,1],[1,1],[1,1]] [[5],[1],[1],[1],[1],[1]] => [[5,1,1,1,1,1]] [[5],[2],[1],[1],[1]] => [[5,2,1,1,1]] [[5],[2],[2],[1]] => [[5,2,2,1]] [[5],[3],[1],[1]] => [[5,3,1,1]] [[5],[3],[2]] => [[5,3,2]] [[5],[4],[1]] => [[5,4,1]] [[5],[5]] => [[5,5]] [[4,1],[1],[1],[1],[1],[1]] => [[4,1,1,1,1,1],[1]] [[4,1],[2],[1],[1],[1]] => [[4,2,1,1,1],[1]] [[4,1],[2],[2],[1]] => [[4,2,2,1],[1]] [[4,1],[1,1],[1],[1],[1]] => [[4,1,1,1,1],[1,1]] [[4,1],[1,1],[1,1],[1]] => [[4,1,1,1],[1,1,1]] [[4,1],[3],[1],[1]] => [[4,3,1,1],[1]] [[4,1],[3],[2]] => [[4,3,2],[1]] [[4,1],[2,1],[1],[1]] => [[4,2,1,1],[1,1]] [[4,1],[2,1],[2]] => [[4,2,2],[1,1]] [[4,1],[2,1],[1,1]] => [[4,2,1],[1,1,1]] [[4,1],[4],[1]] => [[4,4,1],[1]] [[4,1],[3,1],[1]] => [[4,3,1],[1,1]] [[4,1],[4,1]] => [[4,4],[1,1]] [[3,2],[1],[1],[1],[1],[1]] => [[3,1,1,1,1,1],[2]] [[3,2],[2],[1],[1],[1]] => [[3,2,1,1,1],[2]] [[3,2],[2],[2],[1]] => [[3,2,2,1],[2]] [[3,2],[1,1],[1],[1],[1]] => [[3,1,1,1,1],[2,1]] [[3,2],[1,1],[1,1],[1]] => [[3,1,1,1],[2,1,1]] [[3,2],[3],[1],[1]] => [[3,3,1,1],[2]] [[3,2],[3],[2]] => [[3,3,2],[2]] [[3,2],[2,1],[1],[1]] => [[3,2,1,1],[2,1]] [[3,2],[2,1],[2]] => [[3,2,2],[2,1]] [[3,2],[2,1],[1,1]] => [[3,2,1],[2,1,1]] [[3,2],[3,1],[1]] => [[3,3,1],[2,1]] [[3,2],[2,2],[1]] => [[3,2,1],[2,2]] [[3,2],[3,2]] => [[3,3],[2,2]] [[3,1,1],[1],[1],[1],[1],[1]] => [[3,1,1,1,1,1],[1],[1]] [[3,1,1],[2],[1],[1],[1]] => [[3,2,1,1,1],[1],[1]] [[3,1,1],[2],[2],[1]] => [[3,2,2,1],[1],[1]] [[3,1,1],[1,1],[1],[1],[1]] => [[3,1,1,1,1],[1,1],[1]] [[3,1,1],[1,1],[1,1],[1]] => [[3,1,1,1],[1,1,1],[1]] [[3,1,1],[3],[1],[1]] => [[3,3,1,1],[1],[1]] [[3,1,1],[3],[2]] => [[3,3,2],[1],[1]] [[3,1,1],[2,1],[1],[1]] => [[3,2,1,1],[1,1],[1]] [[3,1,1],[2,1],[2]] => [[3,2,2],[1,1],[1]] [[3,1,1],[2,1],[1,1]] => [[3,2,1],[1,1,1],[1]] [[3,1,1],[1,1,1],[1],[1]] => [[3,1,1,1],[1,1],[1,1]] [[3,1,1],[1,1,1],[1,1]] => [[3,1,1],[1,1,1],[1,1]] [[3,1,1],[3,1],[1]] => [[3,3,1],[1,1],[1]] [[3,1,1],[2,1,1],[1]] => [[3,2,1],[1,1],[1,1]] [[3,1,1],[3,1,1]] => [[3,3],[1,1],[1,1]] [[2,2,1],[1],[1],[1],[1],[1]] => [[2,1,1,1,1,1],[2],[1]] [[2,2,1],[2],[1],[1],[1]] => [[2,2,1,1,1],[2],[1]] [[2,2,1],[2],[2],[1]] => [[2,2,2,1],[2],[1]] [[2,2,1],[1,1],[1],[1],[1]] => [[2,1,1,1,1],[2,1],[1]] [[2,2,1],[1,1],[1,1],[1]] => [[2,1,1,1],[2,1,1],[1]] [[2,2,1],[2,1],[1],[1]] => [[2,2,1,1],[2,1],[1]] [[2,2,1],[2,1],[2]] => [[2,2,2],[2,1],[1]] [[2,2,1],[2,1],[1,1]] => [[2,2,1],[2,1,1],[1]] [[2,2,1],[1,1,1],[1],[1]] => [[2,1,1,1],[2,1],[1,1]] [[2,2,1],[1,1,1],[1,1]] => [[2,1,1],[2,1,1],[1,1]] [[2,2,1],[2,2],[1]] => [[2,2,1],[2,2],[1]] [[2,2,1],[2,1,1],[1]] => [[2,2,1],[2,1],[1,1]] [[2,2,1],[2,2,1]] => [[2,2],[2,2],[1,1]] [[2,1,1,1],[1],[1],[1],[1],[1]] => [[2,1,1,1,1,1],[1],[1],[1]] [[2,1,1,1],[2],[1],[1],[1]] => [[2,2,1,1,1],[1],[1],[1]] [[2,1,1,1],[2],[2],[1]] => [[2,2,2,1],[1],[1],[1]] [[2,1,1,1],[1,1],[1],[1],[1]] => [[2,1,1,1,1],[1,1],[1],[1]] [[2,1,1,1],[1,1],[1,1],[1]] => [[2,1,1,1],[1,1,1],[1],[1]] [[2,1,1,1],[2,1],[1],[1]] => [[2,2,1,1],[1,1],[1],[1]] [[2,1,1,1],[2,1],[2]] => [[2,2,2],[1,1],[1],[1]] [[2,1,1,1],[2,1],[1,1]] => [[2,2,1],[1,1,1],[1],[1]] [[2,1,1,1],[1,1,1],[1],[1]] => [[2,1,1,1],[1,1],[1,1],[1]] [[2,1,1,1],[1,1,1],[1,1]] => [[2,1,1],[1,1,1],[1,1],[1]] [[2,1,1,1],[2,1,1],[1]] => [[2,2,1],[1,1],[1,1],[1]] [[2,1,1,1],[1,1,1,1],[1]] => [[2,1,1],[1,1],[1,1],[1,1]] [[2,1,1,1],[2,1,1,1]] => [[2,2],[1,1],[1,1],[1,1]] [[1,1,1,1,1],[1],[1],[1],[1],[1]] => [[1,1,1,1,1,1],[1],[1],[1],[1]] [[1,1,1,1,1],[1,1],[1],[1],[1]] => [[1,1,1,1,1],[1,1],[1],[1],[1]] [[1,1,1,1,1],[1,1],[1,1],[1]] => [[1,1,1,1],[1,1,1],[1],[1],[1]] [[1,1,1,1,1],[1,1,1],[1],[1]] => [[1,1,1,1],[1,1],[1,1],[1],[1]] [[1,1,1,1,1],[1,1,1],[1,1]] => [[1,1,1],[1,1,1],[1,1],[1],[1]] [[1,1,1,1,1],[1,1,1,1],[1]] => [[1,1,1],[1,1],[1,1],[1,1],[1]] [[1,1,1,1,1],[1,1,1,1,1]] => [[1,1],[1,1],[1,1],[1,1],[1,1]] [[6],[1],[1],[1],[1]] => [[6,1,1,1,1]] [[6],[2],[1],[1]] => [[6,2,1,1]] [[6],[2],[2]] => [[6,2,2]] [[6],[3],[1]] => [[6,3,1]] [[6],[4]] => [[6,4]] [[5,1],[1],[1],[1],[1]] => [[5,1,1,1,1],[1]] [[5,1],[2],[1],[1]] => [[5,2,1,1],[1]] [[5,1],[2],[2]] => [[5,2,2],[1]] [[5,1],[1,1],[1],[1]] => [[5,1,1,1],[1,1]] [[5,1],[1,1],[1,1]] => [[5,1,1],[1,1,1]] [[5,1],[3],[1]] => [[5,3,1],[1]] [[5,1],[2,1],[1]] => [[5,2,1],[1,1]] [[5,1],[4]] => [[5,4],[1]] [[5,1],[3,1]] => [[5,3],[1,1]] [[4,2],[1],[1],[1],[1]] => [[4,1,1,1,1],[2]] [[4,2],[2],[1],[1]] => [[4,2,1,1],[2]] [[4,2],[2],[2]] => [[4,2,2],[2]] [[4,2],[1,1],[1],[1]] => [[4,1,1,1],[2,1]] [[4,2],[1,1],[1,1]] => [[4,1,1],[2,1,1]] [[4,2],[3],[1]] => [[4,3,1],[2]] [[4,2],[2,1],[1]] => [[4,2,1],[2,1]] [[4,2],[4]] => [[4,4],[2]] [[4,2],[3,1]] => [[4,3],[2,1]] [[4,2],[2,2]] => [[4,2],[2,2]] [[4,1,1],[1],[1],[1],[1]] => [[4,1,1,1,1],[1],[1]] [[4,1,1],[2],[1],[1]] => [[4,2,1,1],[1],[1]] [[4,1,1],[2],[2]] => [[4,2,2],[1],[1]] [[4,1,1],[1,1],[1],[1]] => [[4,1,1,1],[1,1],[1]] [[4,1,1],[1,1],[1,1]] => [[4,1,1],[1,1,1],[1]] [[4,1,1],[3],[1]] => [[4,3,1],[1],[1]] [[4,1,1],[2,1],[1]] => [[4,2,1],[1,1],[1]] [[4,1,1],[1,1,1],[1]] => [[4,1,1],[1,1],[1,1]] [[4,1,1],[4]] => [[4,4],[1],[1]] [[4,1,1],[3,1]] => [[4,3],[1,1],[1]] [[4,1,1],[2,1,1]] => [[4,2],[1,1],[1,1]] [[3,3],[1],[1],[1],[1]] => [[3,1,1,1,1],[3]] [[3,3],[2],[1],[1]] => [[3,2,1,1],[3]] [[3,3],[2],[2]] => [[3,2,2],[3]] [[3,3],[1,1],[1],[1]] => [[3,1,1,1],[3,1]] [[3,3],[1,1],[1,1]] => [[3,1,1],[3,1,1]] [[3,3],[3],[1]] => [[3,3,1],[3]] [[3,3],[2,1],[1]] => [[3,2,1],[3,1]] [[3,3],[3,1]] => [[3,3],[3,1]] [[3,3],[2,2]] => [[3,2],[3,2]] [[3,2,1],[1],[1],[1],[1]] => [[3,1,1,1,1],[2],[1]] [[3,2,1],[2],[1],[1]] => [[3,2,1,1],[2],[1]] [[3,2,1],[2],[2]] => [[3,2,2],[2],[1]] [[3,2,1],[1,1],[1],[1]] => [[3,1,1,1],[2,1],[1]] [[3,2,1],[1,1],[1,1]] => [[3,1,1],[2,1,1],[1]] [[3,2,1],[3],[1]] => [[3,3,1],[2],[1]] [[3,2,1],[2,1],[1]] => [[3,2,1],[2,1],[1]] [[3,2,1],[1,1,1],[1]] => [[3,1,1],[2,1],[1,1]] [[3,2,1],[3,1]] => [[3,3],[2,1],[1]] [[3,2,1],[2,2]] => [[3,2],[2,2],[1]] [[3,2,1],[2,1,1]] => [[3,2],[2,1],[1,1]] [[3,1,1,1],[1],[1],[1],[1]] => [[3,1,1,1,1],[1],[1],[1]] [[3,1,1,1],[2],[1],[1]] => [[3,2,1,1],[1],[1],[1]] [[3,1,1,1],[2],[2]] => [[3,2,2],[1],[1],[1]] [[3,1,1,1],[1,1],[1],[1]] => [[3,1,1,1],[1,1],[1],[1]] [[3,1,1,1],[1,1],[1,1]] => [[3,1,1],[1,1,1],[1],[1]] [[3,1,1,1],[3],[1]] => [[3,3,1],[1],[1],[1]] [[3,1,1,1],[2,1],[1]] => [[3,2,1],[1,1],[1],[1]] [[3,1,1,1],[1,1,1],[1]] => [[3,1,1],[1,1],[1,1],[1]] [[3,1,1,1],[3,1]] => [[3,3],[1,1],[1],[1]] [[3,1,1,1],[2,1,1]] => [[3,2],[1,1],[1,1],[1]] [[3,1,1,1],[1,1,1,1]] => [[3,1],[1,1],[1,1],[1,1]] [[2,2,2],[1],[1],[1],[1]] => [[2,1,1,1,1],[2],[2]] [[2,2,2],[2],[1],[1]] => [[2,2,1,1],[2],[2]] [[2,2,2],[2],[2]] => [[2,2,2],[2],[2]] [[2,2,2],[1,1],[1],[1]] => [[2,1,1,1],[2,1],[2]] [[2,2,2],[1,1],[1,1]] => [[2,1,1],[2,1,1],[2]] [[2,2,2],[2,1],[1]] => [[2,2,1],[2,1],[2]] [[2,2,2],[1,1,1],[1]] => [[2,1,1],[2,1],[2,1]] [[2,2,2],[2,2]] => [[2,2],[2,2],[2]] [[2,2,2],[2,1,1]] => [[2,2],[2,1],[2,1]] [[2,2,1,1],[1],[1],[1],[1]] => [[2,1,1,1,1],[2],[1],[1]] [[2,2,1,1],[2],[1],[1]] => [[2,2,1,1],[2],[1],[1]] [[2,2,1,1],[2],[2]] => [[2,2,2],[2],[1],[1]] [[2,2,1,1],[1,1],[1],[1]] => [[2,1,1,1],[2,1],[1],[1]] [[2,2,1,1],[1,1],[1,1]] => [[2,1,1],[2,1,1],[1],[1]] [[2,2,1,1],[2,1],[1]] => [[2,2,1],[2,1],[1],[1]] [[2,2,1,1],[1,1,1],[1]] => [[2,1,1],[2,1],[1,1],[1]] [[2,2,1,1],[2,2]] => [[2,2],[2,2],[1],[1]] [[2,2,1,1],[2,1,1]] => [[2,2],[2,1],[1,1],[1]] [[2,2,1,1],[1,1,1,1]] => [[2,1],[2,1],[1,1],[1,1]] [[2,1,1,1,1],[1],[1],[1],[1]] => [[2,1,1,1,1],[1],[1],[1],[1]] [[2,1,1,1,1],[2],[1],[1]] => [[2,2,1,1],[1],[1],[1],[1]] [[2,1,1,1,1],[2],[2]] => [[2,2,2],[1],[1],[1],[1]] [[2,1,1,1,1],[1,1],[1],[1]] => [[2,1,1,1],[1,1],[1],[1],[1]] [[2,1,1,1,1],[1,1],[1,1]] => [[2,1,1],[1,1,1],[1],[1],[1]] [[2,1,1,1,1],[2,1],[1]] => [[2,2,1],[1,1],[1],[1],[1]] [[2,1,1,1,1],[1,1,1],[1]] => [[2,1,1],[1,1],[1,1],[1],[1]] [[2,1,1,1,1],[2,1,1]] => [[2,2],[1,1],[1,1],[1],[1]] [[2,1,1,1,1],[1,1,1,1]] => [[2,1],[1,1],[1,1],[1,1],[1]] [[1,1,1,1,1,1],[1],[1],[1],[1]] => [[1,1,1,1,1],[1],[1],[1],[1],[1]] [[1,1,1,1,1,1],[1,1],[1],[1]] => [[1,1,1,1],[1,1],[1],[1],[1],[1]] [[1,1,1,1,1,1],[1,1],[1,1]] => [[1,1,1],[1,1,1],[1],[1],[1],[1]] [[1,1,1,1,1,1],[1,1,1],[1]] => [[1,1,1],[1,1],[1,1],[1],[1],[1]] [[1,1,1,1,1,1],[1,1,1,1]] => [[1,1],[1,1],[1,1],[1,1],[1],[1]] [[7],[1],[1],[1]] => [[7,1,1,1]] [[7],[2],[1]] => [[7,2,1]] [[7],[3]] => [[7,3]] [[6,1],[1],[1],[1]] => [[6,1,1,1],[1]] [[6,1],[2],[1]] => [[6,2,1],[1]] [[6,1],[1,1],[1]] => [[6,1,1],[1,1]] [[6,1],[3]] => [[6,3],[1]] [[6,1],[2,1]] => [[6,2],[1,1]] [[5,2],[1],[1],[1]] => [[5,1,1,1],[2]] [[5,2],[2],[1]] => [[5,2,1],[2]] [[5,2],[1,1],[1]] => [[5,1,1],[2,1]] [[5,2],[3]] => [[5,3],[2]] [[5,2],[2,1]] => [[5,2],[2,1]] [[5,1,1],[1],[1],[1]] => [[5,1,1,1],[1],[1]] [[5,1,1],[2],[1]] => [[5,2,1],[1],[1]] [[5,1,1],[1,1],[1]] => [[5,1,1],[1,1],[1]] [[5,1,1],[3]] => [[5,3],[1],[1]] [[5,1,1],[2,1]] => [[5,2],[1,1],[1]] [[5,1,1],[1,1,1]] => [[5,1],[1,1],[1,1]] [[4,3],[1],[1],[1]] => [[4,1,1,1],[3]] [[4,3],[2],[1]] => [[4,2,1],[3]] [[4,3],[1,1],[1]] => [[4,1,1],[3,1]] [[4,3],[3]] => [[4,3],[3]] [[4,3],[2,1]] => [[4,2],[3,1]] [[4,2,1],[1],[1],[1]] => [[4,1,1,1],[2],[1]] [[4,2,1],[2],[1]] => [[4,2,1],[2],[1]] [[4,2,1],[1,1],[1]] => [[4,1,1],[2,1],[1]] [[4,2,1],[3]] => [[4,3],[2],[1]] [[4,2,1],[2,1]] => [[4,2],[2,1],[1]] [[4,2,1],[1,1,1]] => [[4,1],[2,1],[1,1]] [[4,1,1,1],[1],[1],[1]] => [[4,1,1,1],[1],[1],[1]] [[4,1,1,1],[2],[1]] => [[4,2,1],[1],[1],[1]] [[4,1,1,1],[1,1],[1]] => [[4,1,1],[1,1],[1],[1]] [[4,1,1,1],[3]] => [[4,3],[1],[1],[1]] [[4,1,1,1],[2,1]] => [[4,2],[1,1],[1],[1]] [[4,1,1,1],[1,1,1]] => [[4,1],[1,1],[1,1],[1]] [[3,3,1],[1],[1],[1]] => [[3,1,1,1],[3],[1]] [[3,3,1],[2],[1]] => [[3,2,1],[3],[1]] [[3,3,1],[1,1],[1]] => [[3,1,1],[3,1],[1]] [[3,3,1],[3]] => [[3,3],[3],[1]] [[3,3,1],[2,1]] => [[3,2],[3,1],[1]] [[3,3,1],[1,1,1]] => [[3,1],[3,1],[1,1]] [[3,2,2],[1],[1],[1]] => [[3,1,1,1],[2],[2]] [[3,2,2],[2],[1]] => [[3,2,1],[2],[2]] [[3,2,2],[1,1],[1]] => [[3,1,1],[2,1],[2]] [[3,2,2],[3]] => [[3,3],[2],[2]] [[3,2,2],[2,1]] => [[3,2],[2,1],[2]] [[3,2,2],[1,1,1]] => [[3,1],[2,1],[2,1]] [[3,2,1,1],[1],[1],[1]] => [[3,1,1,1],[2],[1],[1]] [[3,2,1,1],[2],[1]] => [[3,2,1],[2],[1],[1]] [[3,2,1,1],[1,1],[1]] => [[3,1,1],[2,1],[1],[1]] [[3,2,1,1],[3]] => [[3,3],[2],[1],[1]] [[3,2,1,1],[2,1]] => [[3,2],[2,1],[1],[1]] [[3,2,1,1],[1,1,1]] => [[3,1],[2,1],[1,1],[1]] [[3,1,1,1,1],[1],[1],[1]] => [[3,1,1,1],[1],[1],[1],[1]] [[3,1,1,1,1],[2],[1]] => [[3,2,1],[1],[1],[1],[1]] [[3,1,1,1,1],[1,1],[1]] => [[3,1,1],[1,1],[1],[1],[1]] [[3,1,1,1,1],[3]] => [[3,3],[1],[1],[1],[1]] [[3,1,1,1,1],[2,1]] => [[3,2],[1,1],[1],[1],[1]] [[3,1,1,1,1],[1,1,1]] => [[3,1],[1,1],[1,1],[1],[1]] [[2,2,2,1],[1],[1],[1]] => [[2,1,1,1],[2],[2],[1]] [[2,2,2,1],[2],[1]] => [[2,2,1],[2],[2],[1]] [[2,2,2,1],[1,1],[1]] => [[2,1,1],[2,1],[2],[1]] [[2,2,2,1],[2,1]] => [[2,2],[2,1],[2],[1]] [[2,2,2,1],[1,1,1]] => [[2,1],[2,1],[2,1],[1]] [[2,2,1,1,1],[1],[1],[1]] => [[2,1,1,1],[2],[1],[1],[1]] [[2,2,1,1,1],[2],[1]] => [[2,2,1],[2],[1],[1],[1]] [[2,2,1,1,1],[1,1],[1]] => [[2,1,1],[2,1],[1],[1],[1]] [[2,2,1,1,1],[2,1]] => [[2,2],[2,1],[1],[1],[1]] [[2,2,1,1,1],[1,1,1]] => [[2,1],[2,1],[1,1],[1],[1]] [[2,1,1,1,1,1],[1],[1],[1]] => [[2,1,1,1],[1],[1],[1],[1],[1]] [[2,1,1,1,1,1],[2],[1]] => [[2,2,1],[1],[1],[1],[1],[1]] [[2,1,1,1,1,1],[1,1],[1]] => [[2,1,1],[1,1],[1],[1],[1],[1]] [[2,1,1,1,1,1],[2,1]] => [[2,2],[1,1],[1],[1],[1],[1]] [[2,1,1,1,1,1],[1,1,1]] => [[2,1],[1,1],[1,1],[1],[1],[1]] [[1,1,1,1,1,1,1],[1],[1],[1]] => [[1,1,1,1],[1],[1],[1],[1],[1],[1]] [[1,1,1,1,1,1,1],[1,1],[1]] => [[1,1,1],[1,1],[1],[1],[1],[1],[1]] [[1,1,1,1,1,1,1],[1,1,1]] => [[1,1],[1,1],[1,1],[1],[1],[1],[1]] [[8],[1],[1]] => [[8,1,1]] [[8],[2]] => [[8,2]] [[7,1],[1],[1]] => [[7,1,1],[1]] [[7,1],[2]] => [[7,2],[1]] [[7,1],[1,1]] => [[7,1],[1,1]] [[6,2],[1],[1]] => [[6,1,1],[2]] [[6,2],[2]] => [[6,2],[2]] [[6,2],[1,1]] => [[6,1],[2,1]] [[6,1,1],[1],[1]] => [[6,1,1],[1],[1]] [[6,1,1],[2]] => [[6,2],[1],[1]] [[6,1,1],[1,1]] => [[6,1],[1,1],[1]] [[5,3],[1],[1]] => [[5,1,1],[3]] [[5,3],[2]] => [[5,2],[3]] [[5,3],[1,1]] => [[5,1],[3,1]] [[5,2,1],[1],[1]] => [[5,1,1],[2],[1]] [[5,2,1],[2]] => [[5,2],[2],[1]] [[5,2,1],[1,1]] => [[5,1],[2,1],[1]] [[5,1,1,1],[1],[1]] => [[5,1,1],[1],[1],[1]] [[5,1,1,1],[2]] => [[5,2],[1],[1],[1]] [[5,1,1,1],[1,1]] => [[5,1],[1,1],[1],[1]] [[4,4],[1],[1]] => [[4,1,1],[4]] [[4,4],[2]] => [[4,2],[4]] [[4,4],[1,1]] => [[4,1],[4,1]] [[4,3,1],[1],[1]] => [[4,1,1],[3],[1]] [[4,3,1],[2]] => [[4,2],[3],[1]] [[4,3,1],[1,1]] => [[4,1],[3,1],[1]] [[4,2,2],[1],[1]] => [[4,1,1],[2],[2]] [[4,2,2],[2]] => [[4,2],[2],[2]] [[4,2,2],[1,1]] => [[4,1],[2,1],[2]] [[4,2,1,1],[1],[1]] => [[4,1,1],[2],[1],[1]] [[4,2,1,1],[2]] => [[4,2],[2],[1],[1]] [[4,2,1,1],[1,1]] => [[4,1],[2,1],[1],[1]] [[4,1,1,1,1],[1],[1]] => [[4,1,1],[1],[1],[1],[1]] [[4,1,1,1,1],[2]] => [[4,2],[1],[1],[1],[1]] [[4,1,1,1,1],[1,1]] => [[4,1],[1,1],[1],[1],[1]] [[3,3,2],[1],[1]] => [[3,1,1],[3],[2]] [[3,3,2],[2]] => [[3,2],[3],[2]] [[3,3,2],[1,1]] => [[3,1],[3,1],[2]] [[3,3,1,1],[1],[1]] => [[3,1,1],[3],[1],[1]] [[3,3,1,1],[2]] => [[3,2],[3],[1],[1]] [[3,3,1,1],[1,1]] => [[3,1],[3,1],[1],[1]] [[3,2,2,1],[1],[1]] => [[3,1,1],[2],[2],[1]] [[3,2,2,1],[2]] => [[3,2],[2],[2],[1]] [[3,2,2,1],[1,1]] => [[3,1],[2,1],[2],[1]] [[3,2,1,1,1],[1],[1]] => [[3,1,1],[2],[1],[1],[1]] [[3,2,1,1,1],[2]] => [[3,2],[2],[1],[1],[1]] [[3,2,1,1,1],[1,1]] => [[3,1],[2,1],[1],[1],[1]] [[3,1,1,1,1,1],[1],[1]] => [[3,1,1],[1],[1],[1],[1],[1]] [[3,1,1,1,1,1],[2]] => [[3,2],[1],[1],[1],[1],[1]] [[3,1,1,1,1,1],[1,1]] => [[3,1],[1,1],[1],[1],[1],[1]] [[2,2,2,2],[1],[1]] => [[2,1,1],[2],[2],[2]] [[2,2,2,2],[2]] => [[2,2],[2],[2],[2]] [[2,2,2,2],[1,1]] => [[2,1],[2,1],[2],[2]] [[2,2,2,1,1],[1],[1]] => [[2,1,1],[2],[2],[1],[1]] [[2,2,2,1,1],[2]] => [[2,2],[2],[2],[1],[1]] [[2,2,2,1,1],[1,1]] => [[2,1],[2,1],[2],[1],[1]] [[2,2,1,1,1,1],[1],[1]] => [[2,1,1],[2],[1],[1],[1],[1]] [[2,2,1,1,1,1],[2]] => [[2,2],[2],[1],[1],[1],[1]] [[2,2,1,1,1,1],[1,1]] => [[2,1],[2,1],[1],[1],[1],[1]] [[2,1,1,1,1,1,1],[1],[1]] => [[2,1,1],[1],[1],[1],[1],[1],[1]] [[2,1,1,1,1,1,1],[2]] => [[2,2],[1],[1],[1],[1],[1],[1]] [[2,1,1,1,1,1,1],[1,1]] => [[2,1],[1,1],[1],[1],[1],[1],[1]] [[1,1,1,1,1,1,1,1],[1],[1]] => [[1,1,1],[1],[1],[1],[1],[1],[1],[1]] [[1,1,1,1,1,1,1,1],[1,1]] => [[1,1],[1,1],[1],[1],[1],[1],[1],[1]] [[9],[1]] => [[9,1]] [[8,1],[1]] => [[8,1],[1]] [[7,2],[1]] => [[7,1],[2]] [[7,1,1],[1]] => [[7,1],[1],[1]] [[6,3],[1]] => [[6,1],[3]] [[6,2,1],[1]] => [[6,1],[2],[1]] [[6,1,1,1],[1]] => [[6,1],[1],[1],[1]] [[5,4],[1]] => [[5,1],[4]] [[5,3,1],[1]] => [[5,1],[3],[1]] [[5,2,2],[1]] => [[5,1],[2],[2]] [[5,2,1,1],[1]] => [[5,1],[2],[1],[1]] [[5,1,1,1,1],[1]] => [[5,1],[1],[1],[1],[1]] [[4,4,1],[1]] => [[4,1],[4],[1]] [[4,3,2],[1]] => [[4,1],[3],[2]] [[4,3,1,1],[1]] => [[4,1],[3],[1],[1]] [[4,2,2,1],[1]] => [[4,1],[2],[2],[1]] [[4,2,1,1,1],[1]] => [[4,1],[2],[1],[1],[1]] [[4,1,1,1,1,1],[1]] => [[4,1],[1],[1],[1],[1],[1]] [[3,3,3],[1]] => [[3,1],[3],[3]] [[3,3,2,1],[1]] => [[3,1],[3],[2],[1]] [[3,3,1,1,1],[1]] => [[3,1],[3],[1],[1],[1]] [[3,2,2,2],[1]] => [[3,1],[2],[2],[2]] [[3,2,2,1,1],[1]] => [[3,1],[2],[2],[1],[1]] [[3,2,1,1,1,1],[1]] => [[3,1],[2],[1],[1],[1],[1]] [[3,1,1,1,1,1,1],[1]] => [[3,1],[1],[1],[1],[1],[1],[1]] [[2,2,2,2,1],[1]] => [[2,1],[2],[2],[2],[1]] [[2,2,2,1,1,1],[1]] => [[2,1],[2],[2],[1],[1],[1]] [[2,2,1,1,1,1,1],[1]] => [[2,1],[2],[1],[1],[1],[1],[1]] [[2,1,1,1,1,1,1,1],[1]] => [[2,1],[1],[1],[1],[1],[1],[1],[1]] [[1,1,1,1,1,1,1,1,1],[1]] => [[1,1],[1],[1],[1],[1],[1],[1],[1],[1]] [[10]] => [[10]] [[9,1]] => [[9],[1]] [[8,2]] => [[8],[2]] [[8,1,1]] => [[8],[1],[1]] [[7,3]] => [[7],[3]] [[7,2,1]] => [[7],[2],[1]] [[7,1,1,1]] => [[7],[1],[1],[1]] [[6,4]] => [[6],[4]] [[6,3,1]] => [[6],[3],[1]] [[6,2,2]] => [[6],[2],[2]] [[6,2,1,1]] => [[6],[2],[1],[1]] [[6,1,1,1,1]] => [[6],[1],[1],[1],[1]] [[5,5]] => [[5],[5]] [[5,4,1]] => [[5],[4],[1]] [[5,3,2]] => [[5],[3],[2]] [[5,3,1,1]] => [[5],[3],[1],[1]] [[5,2,2,1]] => [[5],[2],[2],[1]] [[5,2,1,1,1]] => [[5],[2],[1],[1],[1]] [[5,1,1,1,1,1]] => [[5],[1],[1],[1],[1],[1]] [[4,4,2]] => [[4],[4],[2]] [[4,4,1,1]] => [[4],[4],[1],[1]] [[4,3,3]] => [[4],[3],[3]] [[4,3,2,1]] => [[4],[3],[2],[1]] [[4,3,1,1,1]] => [[4],[3],[1],[1],[1]] [[4,2,2,2]] => [[4],[2],[2],[2]] [[4,2,2,1,1]] => [[4],[2],[2],[1],[1]] [[4,2,1,1,1,1]] => [[4],[2],[1],[1],[1],[1]] [[4,1,1,1,1,1,1]] => [[4],[1],[1],[1],[1],[1],[1]] [[3,3,3,1]] => [[3],[3],[3],[1]] [[3,3,2,2]] => [[3],[3],[2],[2]] [[3,3,2,1,1]] => [[3],[3],[2],[1],[1]] [[3,3,1,1,1,1]] => [[3],[3],[1],[1],[1],[1]] [[3,2,2,2,1]] => [[3],[2],[2],[2],[1]] [[3,2,2,1,1,1]] => [[3],[2],[2],[1],[1],[1]] [[3,2,1,1,1,1,1]] => [[3],[2],[1],[1],[1],[1],[1]] [[3,1,1,1,1,1,1,1]] => [[3],[1],[1],[1],[1],[1],[1],[1]] [[2,2,2,2,2]] => [[2],[2],[2],[2],[2]] [[2,2,2,2,1,1]] => [[2],[2],[2],[2],[1],[1]] [[2,2,2,1,1,1,1]] => [[2],[2],[2],[1],[1],[1],[1]] [[2,2,1,1,1,1,1,1]] => [[2],[2],[1],[1],[1],[1],[1],[1]] [[2,1,1,1,1,1,1,1,1]] => [[2],[1],[1],[1],[1],[1],[1],[1],[1]] [[1,1,1,1,1,1,1,1,1,1]] => [[1],[1],[1],[1],[1],[1],[1],[1],[1],[1]] ----------------------------------------------------------------------------- Created: Sep 13, 2020 at 11:45 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Sep 13, 2020 at 11:45 by Martin Rubey