************************************************************************ * 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: Mp00044 ------------------------------------------------------------------------ Map name: conjugate ------------------------------------------------------------------------ Domain: Integer partitions ------------------------------------------------------------------------ Codomain: Integer partitions ------------------------------------------------------------------------ Description: Return the conjugate partition of the partition. The conjugate partition of the partition $\lambda$ of $n$ is the partition $\lambda^*$ whose Ferrers diagram is obtained from the diagram of $\lambda$ by interchanging rows with columns. This is also called the associated partition or the transpose in the literature. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(elt): return elt.conjugate() ------------------------------------------------------------------------ Map images: [1] => [1] [2] => [1,1] [1,1] => [2] [3] => [1,1,1] [2,1] => [2,1] [1,1,1] => [3] [4] => [1,1,1,1] [3,1] => [2,1,1] [2,2] => [2,2] [2,1,1] => [3,1] [1,1,1,1] => [4] [5] => [1,1,1,1,1] [4,1] => [2,1,1,1] [3,2] => [2,2,1] [3,1,1] => [3,1,1] [2,2,1] => [3,2] [2,1,1,1] => [4,1] [1,1,1,1,1] => [5] [6] => [1,1,1,1,1,1] [5,1] => [2,1,1,1,1] [4,2] => [2,2,1,1] [4,1,1] => [3,1,1,1] [3,3] => [2,2,2] [3,2,1] => [3,2,1] [3,1,1,1] => [4,1,1] [2,2,2] => [3,3] [2,2,1,1] => [4,2] [2,1,1,1,1] => [5,1] [1,1,1,1,1,1] => [6] [7] => [1,1,1,1,1,1,1] [6,1] => [2,1,1,1,1,1] [5,2] => [2,2,1,1,1] [5,1,1] => [3,1,1,1,1] [4,3] => [2,2,2,1] [4,2,1] => [3,2,1,1] [4,1,1,1] => [4,1,1,1] [3,3,1] => [3,2,2] [3,2,2] => [3,3,1] [3,2,1,1] => [4,2,1] [3,1,1,1,1] => [5,1,1] [2,2,2,1] => [4,3] [2,2,1,1,1] => [5,2] [2,1,1,1,1,1] => [6,1] [1,1,1,1,1,1,1] => [7] [8] => [1,1,1,1,1,1,1,1] [7,1] => [2,1,1,1,1,1,1] [6,2] => [2,2,1,1,1,1] [6,1,1] => [3,1,1,1,1,1] [5,3] => [2,2,2,1,1] [5,2,1] => [3,2,1,1,1] [5,1,1,1] => [4,1,1,1,1] [4,4] => [2,2,2,2] [4,3,1] => [3,2,2,1] [4,2,2] => [3,3,1,1] [4,2,1,1] => [4,2,1,1] [4,1,1,1,1] => [5,1,1,1] [3,3,2] => [3,3,2] [3,3,1,1] => [4,2,2] [3,2,2,1] => [4,3,1] [3,2,1,1,1] => [5,2,1] [3,1,1,1,1,1] => [6,1,1] [2,2,2,2] => [4,4] [2,2,2,1,1] => [5,3] [2,2,1,1,1,1] => [6,2] [2,1,1,1,1,1,1] => [7,1] [1,1,1,1,1,1,1,1] => [8] [9] => [1,1,1,1,1,1,1,1,1] [8,1] => [2,1,1,1,1,1,1,1] [7,2] => [2,2,1,1,1,1,1] [7,1,1] => [3,1,1,1,1,1,1] [6,3] => [2,2,2,1,1,1] [6,2,1] => [3,2,1,1,1,1] [6,1,1,1] => [4,1,1,1,1,1] [5,4] => [2,2,2,2,1] [5,3,1] => [3,2,2,1,1] [5,2,2] => [3,3,1,1,1] [5,2,1,1] => [4,2,1,1,1] [5,1,1,1,1] => [5,1,1,1,1] [4,4,1] => [3,2,2,2] [4,3,2] => [3,3,2,1] [4,3,1,1] => [4,2,2,1] [4,2,2,1] => [4,3,1,1] [4,2,1,1,1] => [5,2,1,1] [4,1,1,1,1,1] => [6,1,1,1] [3,3,3] => [3,3,3] [3,3,2,1] => [4,3,2] [3,3,1,1,1] => [5,2,2] [3,2,2,2] => [4,4,1] [3,2,2,1,1] => [5,3,1] [3,2,1,1,1,1] => [6,2,1] [3,1,1,1,1,1,1] => [7,1,1] [2,2,2,2,1] => [5,4] [2,2,2,1,1,1] => [6,3] [2,2,1,1,1,1,1] => [7,2] [2,1,1,1,1,1,1,1] => [8,1] [1,1,1,1,1,1,1,1,1] => [9] [10] => [1,1,1,1,1,1,1,1,1,1] [9,1] => [2,1,1,1,1,1,1,1,1] [8,2] => [2,2,1,1,1,1,1,1] [8,1,1] => [3,1,1,1,1,1,1,1] [7,3] => [2,2,2,1,1,1,1] [7,2,1] => [3,2,1,1,1,1,1] [7,1,1,1] => [4,1,1,1,1,1,1] [6,4] => [2,2,2,2,1,1] [6,3,1] => [3,2,2,1,1,1] [6,2,2] => [3,3,1,1,1,1] [6,2,1,1] => [4,2,1,1,1,1] [6,1,1,1,1] => [5,1,1,1,1,1] [5,5] => [2,2,2,2,2] [5,4,1] => [3,2,2,2,1] [5,3,2] => [3,3,2,1,1] [5,3,1,1] => [4,2,2,1,1] [5,2,2,1] => [4,3,1,1,1] [5,2,1,1,1] => [5,2,1,1,1] [5,1,1,1,1,1] => [6,1,1,1,1] [4,4,2] => [3,3,2,2] [4,4,1,1] => [4,2,2,2] [4,3,3] => [3,3,3,1] [4,3,2,1] => [4,3,2,1] [4,3,1,1,1] => [5,2,2,1] [4,2,2,2] => [4,4,1,1] [4,2,2,1,1] => [5,3,1,1] [4,2,1,1,1,1] => [6,2,1,1] [4,1,1,1,1,1,1] => [7,1,1,1] [3,3,3,1] => [4,3,3] [3,3,2,2] => [4,4,2] [3,3,2,1,1] => [5,3,2] [3,3,1,1,1,1] => [6,2,2] [3,2,2,2,1] => [5,4,1] [3,2,2,1,1,1] => [6,3,1] [3,2,1,1,1,1,1] => [7,2,1] [3,1,1,1,1,1,1,1] => [8,1,1] [2,2,2,2,2] => [5,5] [2,2,2,2,1,1] => [6,4] [2,2,2,1,1,1,1] => [7,3] [2,2,1,1,1,1,1,1] => [8,2] [2,1,1,1,1,1,1,1,1] => [9,1] [1,1,1,1,1,1,1,1,1,1] => [10] [11] => [1,1,1,1,1,1,1,1,1,1,1] [10,1] => [2,1,1,1,1,1,1,1,1,1] [9,2] => [2,2,1,1,1,1,1,1,1] [9,1,1] => [3,1,1,1,1,1,1,1,1] [8,3] => [2,2,2,1,1,1,1,1] [8,2,1] => [3,2,1,1,1,1,1,1] [8,1,1,1] => [4,1,1,1,1,1,1,1] [7,4] => [2,2,2,2,1,1,1] [7,3,1] => [3,2,2,1,1,1,1] [7,2,2] => [3,3,1,1,1,1,1] [7,2,1,1] => [4,2,1,1,1,1,1] [7,1,1,1,1] => [5,1,1,1,1,1,1] [6,5] => [2,2,2,2,2,1] [6,4,1] => [3,2,2,2,1,1] [6,3,2] => [3,3,2,1,1,1] [6,3,1,1] => [4,2,2,1,1,1] [6,2,2,1] => [4,3,1,1,1,1] [6,2,1,1,1] => [5,2,1,1,1,1] [6,1,1,1,1,1] => [6,1,1,1,1,1] [5,5,1] => [3,2,2,2,2] [5,4,2] => [3,3,2,2,1] [5,4,1,1] => [4,2,2,2,1] [5,3,3] => [3,3,3,1,1] [5,3,2,1] => [4,3,2,1,1] [5,3,1,1,1] => [5,2,2,1,1] [5,2,2,2] => [4,4,1,1,1] [5,2,2,1,1] => [5,3,1,1,1] [5,2,1,1,1,1] => [6,2,1,1,1] [5,1,1,1,1,1,1] => [7,1,1,1,1] [4,4,3] => [3,3,3,2] [4,4,2,1] => [4,3,2,2] [4,4,1,1,1] => [5,2,2,2] [4,3,3,1] => [4,3,3,1] [4,3,2,2] => [4,4,2,1] [4,3,2,1,1] => [5,3,2,1] [4,3,1,1,1,1] => [6,2,2,1] [4,2,2,2,1] => [5,4,1,1] [4,2,2,1,1,1] => [6,3,1,1] [4,2,1,1,1,1,1] => [7,2,1,1] [4,1,1,1,1,1,1,1] => [8,1,1,1] [3,3,3,2] => [4,4,3] [3,3,3,1,1] => [5,3,3] [3,3,2,2,1] => [5,4,2] [3,3,2,1,1,1] => [6,3,2] [3,3,1,1,1,1,1] => [7,2,2] [3,2,2,2,2] => [5,5,1] [3,2,2,2,1,1] => [6,4,1] [3,2,2,1,1,1,1] => [7,3,1] [3,2,1,1,1,1,1,1] => [8,2,1] [3,1,1,1,1,1,1,1,1] => [9,1,1] [2,2,2,2,2,1] => [6,5] [2,2,2,2,1,1,1] => [7,4] [2,2,2,1,1,1,1,1] => [8,3] [2,2,1,1,1,1,1,1,1] => [9,2] [2,1,1,1,1,1,1,1,1,1] => [10,1] [1,1,1,1,1,1,1,1,1,1,1] => [11] [12] => [1,1,1,1,1,1,1,1,1,1,1,1] [11,1] => [2,1,1,1,1,1,1,1,1,1,1] [10,2] => [2,2,1,1,1,1,1,1,1,1] [10,1,1] => [3,1,1,1,1,1,1,1,1,1] [9,3] => [2,2,2,1,1,1,1,1,1] [9,2,1] => [3,2,1,1,1,1,1,1,1] [9,1,1,1] => [4,1,1,1,1,1,1,1,1] [8,4] => [2,2,2,2,1,1,1,1] [8,3,1] => [3,2,2,1,1,1,1,1] [8,2,2] => [3,3,1,1,1,1,1,1] [8,2,1,1] => [4,2,1,1,1,1,1,1] [8,1,1,1,1] => [5,1,1,1,1,1,1,1] [7,5] => [2,2,2,2,2,1,1] [7,4,1] => [3,2,2,2,1,1,1] [7,3,2] => [3,3,2,1,1,1,1] [7,3,1,1] => [4,2,2,1,1,1,1] [7,2,2,1] => [4,3,1,1,1,1,1] [7,2,1,1,1] => [5,2,1,1,1,1,1] [7,1,1,1,1,1] => [6,1,1,1,1,1,1] [6,6] => [2,2,2,2,2,2] [6,5,1] => [3,2,2,2,2,1] [6,4,2] => [3,3,2,2,1,1] [6,4,1,1] => [4,2,2,2,1,1] [6,3,3] => [3,3,3,1,1,1] [6,3,2,1] => [4,3,2,1,1,1] [6,3,1,1,1] => [5,2,2,1,1,1] [6,2,2,2] => [4,4,1,1,1,1] [6,2,2,1,1] => [5,3,1,1,1,1] [6,2,1,1,1,1] => [6,2,1,1,1,1] [6,1,1,1,1,1,1] => [7,1,1,1,1,1] [5,5,2] => [3,3,2,2,2] [5,5,1,1] => [4,2,2,2,2] [5,4,3] => [3,3,3,2,1] [5,4,2,1] => [4,3,2,2,1] [5,4,1,1,1] => [5,2,2,2,1] [5,3,3,1] => [4,3,3,1,1] [5,3,2,2] => [4,4,2,1,1] [5,3,2,1,1] => [5,3,2,1,1] [5,3,1,1,1,1] => [6,2,2,1,1] [5,2,2,2,1] => [5,4,1,1,1] [5,2,2,1,1,1] => [6,3,1,1,1] [5,2,1,1,1,1,1] => [7,2,1,1,1] [5,1,1,1,1,1,1,1] => [8,1,1,1,1] [4,4,4] => [3,3,3,3] [4,4,3,1] => [4,3,3,2] [4,4,2,2] => [4,4,2,2] [4,4,2,1,1] => [5,3,2,2] [4,4,1,1,1,1] => [6,2,2,2] [4,3,3,2] => [4,4,3,1] [4,3,3,1,1] => [5,3,3,1] [4,3,2,2,1] => [5,4,2,1] [4,3,2,1,1,1] => [6,3,2,1] [4,3,1,1,1,1,1] => [7,2,2,1] [4,2,2,2,2] => [5,5,1,1] [4,2,2,2,1,1] => [6,4,1,1] [4,2,2,1,1,1,1] => [7,3,1,1] [4,2,1,1,1,1,1,1] => [8,2,1,1] [4,1,1,1,1,1,1,1,1] => [9,1,1,1] [3,3,3,3] => [4,4,4] [3,3,3,2,1] => [5,4,3] [3,3,3,1,1,1] => [6,3,3] [3,3,2,2,2] => [5,5,2] [3,3,2,2,1,1] => [6,4,2] [3,3,2,1,1,1,1] => [7,3,2] [3,3,1,1,1,1,1,1] => [8,2,2] [3,2,2,2,2,1] => [6,5,1] [3,2,2,2,1,1,1] => [7,4,1] [3,2,2,1,1,1,1,1] => [8,3,1] [3,2,1,1,1,1,1,1,1] => [9,2,1] [3,1,1,1,1,1,1,1,1,1] => [10,1,1] [2,2,2,2,2,2] => [6,6] [2,2,2,2,2,1,1] => [7,5] [2,2,2,2,1,1,1,1] => [8,4] [2,2,2,1,1,1,1,1,1] => [9,3] [2,2,1,1,1,1,1,1,1,1] => [10,2] [2,1,1,1,1,1,1,1,1,1,1] => [11,1] [1,1,1,1,1,1,1,1,1,1,1,1] => [12] [13] => [1,1,1,1,1,1,1,1,1,1,1,1,1] [12,1] => [2,1,1,1,1,1,1,1,1,1,1,1] [11,2] => [2,2,1,1,1,1,1,1,1,1,1] [11,1,1] => [3,1,1,1,1,1,1,1,1,1,1] [10,3] => [2,2,2,1,1,1,1,1,1,1] [10,2,1] => [3,2,1,1,1,1,1,1,1,1] [10,1,1,1] => [4,1,1,1,1,1,1,1,1,1] [9,4] => [2,2,2,2,1,1,1,1,1] [9,3,1] => [3,2,2,1,1,1,1,1,1] [9,2,2] => [3,3,1,1,1,1,1,1,1] [9,2,1,1] => [4,2,1,1,1,1,1,1,1] [9,1,1,1,1] => [5,1,1,1,1,1,1,1,1] [8,5] => [2,2,2,2,2,1,1,1] [8,4,1] => [3,2,2,2,1,1,1,1] [8,3,2] => [3,3,2,1,1,1,1,1] [8,3,1,1] => [4,2,2,1,1,1,1,1] [8,2,2,1] => [4,3,1,1,1,1,1,1] [8,2,1,1,1] => [5,2,1,1,1,1,1,1] [8,1,1,1,1,1] => [6,1,1,1,1,1,1,1] [7,6] => [2,2,2,2,2,2,1] [7,5,1] => [3,2,2,2,2,1,1] [7,4,2] => [3,3,2,2,1,1,1] [7,4,1,1] => [4,2,2,2,1,1,1] [7,3,3] => [3,3,3,1,1,1,1] [7,3,2,1] => [4,3,2,1,1,1,1] [7,3,1,1,1] => [5,2,2,1,1,1,1] [7,2,2,2] => [4,4,1,1,1,1,1] [7,2,2,1,1] => [5,3,1,1,1,1,1] [7,2,1,1,1,1] => [6,2,1,1,1,1,1] [7,1,1,1,1,1,1] => [7,1,1,1,1,1,1] [6,6,1] => [3,2,2,2,2,2] [6,5,2] => [3,3,2,2,2,1] [6,5,1,1] => [4,2,2,2,2,1] [6,4,3] => [3,3,3,2,1,1] [6,4,2,1] => [4,3,2,2,1,1] [6,4,1,1,1] => [5,2,2,2,1,1] [6,3,3,1] => [4,3,3,1,1,1] [6,3,2,2] => [4,4,2,1,1,1] [6,3,2,1,1] => [5,3,2,1,1,1] [6,3,1,1,1,1] => [6,2,2,1,1,1] [6,2,2,2,1] => [5,4,1,1,1,1] [6,2,2,1,1,1] => [6,3,1,1,1,1] [6,2,1,1,1,1,1] => [7,2,1,1,1,1] [6,1,1,1,1,1,1,1] => [8,1,1,1,1,1] [5,5,3] => [3,3,3,2,2] [5,5,2,1] => [4,3,2,2,2] [5,5,1,1,1] => [5,2,2,2,2] [5,4,4] => [3,3,3,3,1] [5,4,3,1] => [4,3,3,2,1] [5,4,2,2] => [4,4,2,2,1] [5,4,2,1,1] => [5,3,2,2,1] [5,4,1,1,1,1] => [6,2,2,2,1] [5,3,3,2] => [4,4,3,1,1] [5,3,3,1,1] => [5,3,3,1,1] [5,3,2,2,1] => [5,4,2,1,1] [5,3,2,1,1,1] => [6,3,2,1,1] [5,3,1,1,1,1,1] => [7,2,2,1,1] [5,2,2,2,2] => [5,5,1,1,1] [5,2,2,2,1,1] => [6,4,1,1,1] [5,2,2,1,1,1,1] => [7,3,1,1,1] [5,2,1,1,1,1,1,1] => [8,2,1,1,1] [5,1,1,1,1,1,1,1,1] => [9,1,1,1,1] [4,4,4,1] => [4,3,3,3] [4,4,3,2] => [4,4,3,2] [4,4,3,1,1] => [5,3,3,2] [4,4,2,2,1] => [5,4,2,2] [4,4,2,1,1,1] => [6,3,2,2] [4,4,1,1,1,1,1] => [7,2,2,2] [4,3,3,3] => [4,4,4,1] [4,3,3,2,1] => [5,4,3,1] [4,3,3,1,1,1] => [6,3,3,1] [4,3,2,2,2] => [5,5,2,1] [4,3,2,2,1,1] => [6,4,2,1] [4,3,2,1,1,1,1] => [7,3,2,1] [4,3,1,1,1,1,1,1] => [8,2,2,1] [4,2,2,2,2,1] => [6,5,1,1] [4,2,2,2,1,1,1] => [7,4,1,1] [4,2,2,1,1,1,1,1] => [8,3,1,1] [4,2,1,1,1,1,1,1,1] => [9,2,1,1] [4,1,1,1,1,1,1,1,1,1] => [10,1,1,1] [3,3,3,3,1] => [5,4,4] [3,3,3,2,2] => [5,5,3] [3,3,3,2,1,1] => [6,4,3] [3,3,3,1,1,1,1] => [7,3,3] [3,3,2,2,2,1] => [6,5,2] [3,3,2,2,1,1,1] => [7,4,2] [3,3,2,1,1,1,1,1] => [8,3,2] [3,3,1,1,1,1,1,1,1] => [9,2,2] [3,2,2,2,2,2] => [6,6,1] [3,2,2,2,2,1,1] => [7,5,1] [3,2,2,2,1,1,1,1] => [8,4,1] [3,2,2,1,1,1,1,1,1] => [9,3,1] [3,2,1,1,1,1,1,1,1,1] => [10,2,1] [3,1,1,1,1,1,1,1,1,1,1] => [11,1,1] [2,2,2,2,2,2,1] => [7,6] [2,2,2,2,2,1,1,1] => [8,5] [2,2,2,2,1,1,1,1,1] => [9,4] [2,2,2,1,1,1,1,1,1,1] => [10,3] [2,2,1,1,1,1,1,1,1,1,1] => [11,2] [2,1,1,1,1,1,1,1,1,1,1,1] => [12,1] [1,1,1,1,1,1,1,1,1,1,1,1,1] => [13] [14] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1] [13,1] => [2,1,1,1,1,1,1,1,1,1,1,1,1] [12,2] => [2,2,1,1,1,1,1,1,1,1,1,1] [12,1,1] => [3,1,1,1,1,1,1,1,1,1,1,1] [11,3] => [2,2,2,1,1,1,1,1,1,1,1] [11,2,1] => [3,2,1,1,1,1,1,1,1,1,1] [11,1,1,1] => [4,1,1,1,1,1,1,1,1,1,1] [10,4] => [2,2,2,2,1,1,1,1,1,1] [10,3,1] => [3,2,2,1,1,1,1,1,1,1] [10,2,2] => [3,3,1,1,1,1,1,1,1,1] [10,2,1,1] => [4,2,1,1,1,1,1,1,1,1] [10,1,1,1,1] => [5,1,1,1,1,1,1,1,1,1] [9,5] => [2,2,2,2,2,1,1,1,1] [9,4,1] => [3,2,2,2,1,1,1,1,1] [9,3,2] => [3,3,2,1,1,1,1,1,1] [9,3,1,1] => [4,2,2,1,1,1,1,1,1] [9,2,2,1] => [4,3,1,1,1,1,1,1,1] [9,2,1,1,1] => [5,2,1,1,1,1,1,1,1] [9,1,1,1,1,1] => [6,1,1,1,1,1,1,1,1] [8,6] => [2,2,2,2,2,2,1,1] [8,5,1] => [3,2,2,2,2,1,1,1] [8,4,2] => [3,3,2,2,1,1,1,1] [8,4,1,1] => [4,2,2,2,1,1,1,1] [8,3,3] => [3,3,3,1,1,1,1,1] [8,3,2,1] => [4,3,2,1,1,1,1,1] [8,3,1,1,1] => [5,2,2,1,1,1,1,1] [8,2,2,2] => [4,4,1,1,1,1,1,1] [8,2,2,1,1] => [5,3,1,1,1,1,1,1] [8,2,1,1,1,1] => [6,2,1,1,1,1,1,1] [8,1,1,1,1,1,1] => [7,1,1,1,1,1,1,1] [7,7] => [2,2,2,2,2,2,2] [7,6,1] => [3,2,2,2,2,2,1] [7,5,2] => [3,3,2,2,2,1,1] [7,5,1,1] => [4,2,2,2,2,1,1] [7,4,3] => [3,3,3,2,1,1,1] [7,4,2,1] => [4,3,2,2,1,1,1] [7,4,1,1,1] => [5,2,2,2,1,1,1] [7,3,3,1] => [4,3,3,1,1,1,1] [7,3,2,2] => [4,4,2,1,1,1,1] [7,3,2,1,1] => [5,3,2,1,1,1,1] [7,3,1,1,1,1] => [6,2,2,1,1,1,1] [7,2,2,2,1] => [5,4,1,1,1,1,1] [7,2,2,1,1,1] => [6,3,1,1,1,1,1] [7,2,1,1,1,1,1] => [7,2,1,1,1,1,1] [7,1,1,1,1,1,1,1] => [8,1,1,1,1,1,1] [6,6,2] => [3,3,2,2,2,2] [6,6,1,1] => [4,2,2,2,2,2] [6,5,3] => [3,3,3,2,2,1] [6,5,2,1] => [4,3,2,2,2,1] [6,5,1,1,1] => [5,2,2,2,2,1] [6,4,4] => [3,3,3,3,1,1] [6,4,3,1] => [4,3,3,2,1,1] [6,4,2,2] => [4,4,2,2,1,1] [6,4,2,1,1] => [5,3,2,2,1,1] [6,4,1,1,1,1] => [6,2,2,2,1,1] [6,3,3,2] => [4,4,3,1,1,1] [6,3,3,1,1] => [5,3,3,1,1,1] [6,3,2,2,1] => [5,4,2,1,1,1] [6,3,2,1,1,1] => [6,3,2,1,1,1] [6,3,1,1,1,1,1] => [7,2,2,1,1,1] [6,2,2,2,2] => [5,5,1,1,1,1] [6,2,2,2,1,1] => [6,4,1,1,1,1] [6,2,2,1,1,1,1] => [7,3,1,1,1,1] [6,2,1,1,1,1,1,1] => [8,2,1,1,1,1] [6,1,1,1,1,1,1,1,1] => [9,1,1,1,1,1] [5,5,4] => [3,3,3,3,2] [5,5,3,1] => [4,3,3,2,2] [5,5,2,2] => [4,4,2,2,2] [5,5,2,1,1] => [5,3,2,2,2] [5,5,1,1,1,1] => [6,2,2,2,2] [5,4,4,1] => [4,3,3,3,1] [5,4,3,2] => [4,4,3,2,1] [5,4,3,1,1] => [5,3,3,2,1] [5,4,2,2,1] => [5,4,2,2,1] [5,4,2,1,1,1] => [6,3,2,2,1] [5,4,1,1,1,1,1] => [7,2,2,2,1] [5,3,3,3] => [4,4,4,1,1] [5,3,3,2,1] => [5,4,3,1,1] [5,3,3,1,1,1] => [6,3,3,1,1] [5,3,2,2,2] => [5,5,2,1,1] [5,3,2,2,1,1] => [6,4,2,1,1] [5,3,2,1,1,1,1] => [7,3,2,1,1] [5,3,1,1,1,1,1,1] => [8,2,2,1,1] [5,2,2,2,2,1] => [6,5,1,1,1] [5,2,2,2,1,1,1] => [7,4,1,1,1] [5,2,2,1,1,1,1,1] => [8,3,1,1,1] [5,2,1,1,1,1,1,1,1] => [9,2,1,1,1] [5,1,1,1,1,1,1,1,1,1] => [10,1,1,1,1] [4,4,4,2] => [4,4,3,3] [4,4,4,1,1] => [5,3,3,3] [4,4,3,3] => [4,4,4,2] [4,4,3,2,1] => [5,4,3,2] [4,4,3,1,1,1] => [6,3,3,2] [4,4,2,2,2] => [5,5,2,2] [4,4,2,2,1,1] => [6,4,2,2] [4,4,2,1,1,1,1] => [7,3,2,2] [4,4,1,1,1,1,1,1] => [8,2,2,2] [4,3,3,3,1] => [5,4,4,1] [4,3,3,2,2] => [5,5,3,1] [4,3,3,2,1,1] => [6,4,3,1] [4,3,3,1,1,1,1] => [7,3,3,1] [4,3,2,2,2,1] => [6,5,2,1] [4,3,2,2,1,1,1] => [7,4,2,1] [4,3,2,1,1,1,1,1] => [8,3,2,1] [4,3,1,1,1,1,1,1,1] => [9,2,2,1] [4,2,2,2,2,2] => [6,6,1,1] [4,2,2,2,2,1,1] => [7,5,1,1] [4,2,2,2,1,1,1,1] => [8,4,1,1] [4,2,2,1,1,1,1,1,1] => [9,3,1,1] [4,2,1,1,1,1,1,1,1,1] => [10,2,1,1] [4,1,1,1,1,1,1,1,1,1,1] => [11,1,1,1] [3,3,3,3,2] => [5,5,4] [3,3,3,3,1,1] => [6,4,4] [3,3,3,2,2,1] => [6,5,3] [3,3,3,2,1,1,1] => [7,4,3] [3,3,3,1,1,1,1,1] => [8,3,3] [3,3,2,2,2,2] => [6,6,2] [3,3,2,2,2,1,1] => [7,5,2] [3,3,2,2,1,1,1,1] => [8,4,2] [3,3,2,1,1,1,1,1,1] => [9,3,2] [3,3,1,1,1,1,1,1,1,1] => [10,2,2] [3,2,2,2,2,2,1] => [7,6,1] [3,2,2,2,2,1,1,1] => [8,5,1] [3,2,2,2,1,1,1,1,1] => [9,4,1] [3,2,2,1,1,1,1,1,1,1] => [10,3,1] [3,2,1,1,1,1,1,1,1,1,1] => [11,2,1] [3,1,1,1,1,1,1,1,1,1,1,1] => [12,1,1] [2,2,2,2,2,2,2] => [7,7] [2,2,2,2,2,2,1,1] => [8,6] [2,2,2,2,2,1,1,1,1] => [9,5] [2,2,2,2,1,1,1,1,1,1] => [10,4] [2,2,2,1,1,1,1,1,1,1,1] => [11,3] [2,2,1,1,1,1,1,1,1,1,1,1] => [12,2] [2,1,1,1,1,1,1,1,1,1,1,1,1] => [13,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [14] [15] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [14,1] => [2,1,1,1,1,1,1,1,1,1,1,1,1,1] [13,2] => [2,2,1,1,1,1,1,1,1,1,1,1,1] [13,1,1] => [3,1,1,1,1,1,1,1,1,1,1,1,1] [12,3] => [2,2,2,1,1,1,1,1,1,1,1,1] [12,2,1] => [3,2,1,1,1,1,1,1,1,1,1,1] [12,1,1,1] => [4,1,1,1,1,1,1,1,1,1,1,1] [11,4] => [2,2,2,2,1,1,1,1,1,1,1] [11,3,1] => [3,2,2,1,1,1,1,1,1,1,1] [11,2,2] => [3,3,1,1,1,1,1,1,1,1,1] [11,2,1,1] => [4,2,1,1,1,1,1,1,1,1,1] [11,1,1,1,1] => [5,1,1,1,1,1,1,1,1,1,1] [10,5] => [2,2,2,2,2,1,1,1,1,1] [10,4,1] => [3,2,2,2,1,1,1,1,1,1] [10,3,2] => [3,3,2,1,1,1,1,1,1,1] [10,3,1,1] => [4,2,2,1,1,1,1,1,1,1] [10,2,2,1] => [4,3,1,1,1,1,1,1,1,1] [10,2,1,1,1] => [5,2,1,1,1,1,1,1,1,1] [10,1,1,1,1,1] => [6,1,1,1,1,1,1,1,1,1] [9,6] => [2,2,2,2,2,2,1,1,1] [9,5,1] => [3,2,2,2,2,1,1,1,1] [9,4,2] => [3,3,2,2,1,1,1,1,1] [9,4,1,1] => [4,2,2,2,1,1,1,1,1] [9,3,3] => [3,3,3,1,1,1,1,1,1] [9,3,2,1] => [4,3,2,1,1,1,1,1,1] [9,3,1,1,1] => [5,2,2,1,1,1,1,1,1] [9,2,2,2] => [4,4,1,1,1,1,1,1,1] [9,2,2,1,1] => [5,3,1,1,1,1,1,1,1] [9,2,1,1,1,1] => [6,2,1,1,1,1,1,1,1] [9,1,1,1,1,1,1] => [7,1,1,1,1,1,1,1,1] [8,7] => [2,2,2,2,2,2,2,1] [8,6,1] => [3,2,2,2,2,2,1,1] [8,5,2] => [3,3,2,2,2,1,1,1] [8,5,1,1] => [4,2,2,2,2,1,1,1] [8,4,3] => [3,3,3,2,1,1,1,1] [8,4,2,1] => [4,3,2,2,1,1,1,1] [8,4,1,1,1] => [5,2,2,2,1,1,1,1] [8,3,3,1] => [4,3,3,1,1,1,1,1] [8,3,2,2] => [4,4,2,1,1,1,1,1] [8,3,2,1,1] => [5,3,2,1,1,1,1,1] [8,3,1,1,1,1] => [6,2,2,1,1,1,1,1] [8,2,2,2,1] => [5,4,1,1,1,1,1,1] [8,2,2,1,1,1] => [6,3,1,1,1,1,1,1] [8,2,1,1,1,1,1] => [7,2,1,1,1,1,1,1] [8,1,1,1,1,1,1,1] => [8,1,1,1,1,1,1,1] [7,7,1] => [3,2,2,2,2,2,2] [7,6,2] => [3,3,2,2,2,2,1] [7,6,1,1] => [4,2,2,2,2,2,1] [7,5,3] => [3,3,3,2,2,1,1] [7,5,2,1] => [4,3,2,2,2,1,1] [7,5,1,1,1] => [5,2,2,2,2,1,1] [7,4,4] => [3,3,3,3,1,1,1] [7,4,3,1] => [4,3,3,2,1,1,1] [7,4,2,2] => [4,4,2,2,1,1,1] [7,4,2,1,1] => [5,3,2,2,1,1,1] [7,4,1,1,1,1] => [6,2,2,2,1,1,1] [7,3,3,2] => [4,4,3,1,1,1,1] [7,3,3,1,1] => [5,3,3,1,1,1,1] [7,3,2,2,1] => [5,4,2,1,1,1,1] [7,3,2,1,1,1] => [6,3,2,1,1,1,1] [7,3,1,1,1,1,1] => [7,2,2,1,1,1,1] [7,2,2,2,2] => [5,5,1,1,1,1,1] [7,2,2,2,1,1] => [6,4,1,1,1,1,1] [7,2,2,1,1,1,1] => [7,3,1,1,1,1,1] [7,2,1,1,1,1,1,1] => [8,2,1,1,1,1,1] [7,1,1,1,1,1,1,1,1] => [9,1,1,1,1,1,1] [6,6,3] => [3,3,3,2,2,2] [6,6,2,1] => [4,3,2,2,2,2] [6,6,1,1,1] => [5,2,2,2,2,2] [6,5,4] => [3,3,3,3,2,1] [6,5,3,1] => [4,3,3,2,2,1] [6,5,2,2] => [4,4,2,2,2,1] [6,5,2,1,1] => [5,3,2,2,2,1] [6,5,1,1,1,1] => [6,2,2,2,2,1] [6,4,4,1] => [4,3,3,3,1,1] [6,4,3,2] => [4,4,3,2,1,1] [6,4,3,1,1] => [5,3,3,2,1,1] [6,4,2,2,1] => [5,4,2,2,1,1] [6,4,2,1,1,1] => [6,3,2,2,1,1] [6,4,1,1,1,1,1] => [7,2,2,2,1,1] [6,3,3,3] => [4,4,4,1,1,1] [6,3,3,2,1] => [5,4,3,1,1,1] [6,3,3,1,1,1] => [6,3,3,1,1,1] [6,3,2,2,2] => [5,5,2,1,1,1] [6,3,2,2,1,1] => [6,4,2,1,1,1] [6,3,2,1,1,1,1] => [7,3,2,1,1,1] [6,3,1,1,1,1,1,1] => [8,2,2,1,1,1] [6,2,2,2,2,1] => [6,5,1,1,1,1] [6,2,2,2,1,1,1] => [7,4,1,1,1,1] [6,2,2,1,1,1,1,1] => [8,3,1,1,1,1] [6,2,1,1,1,1,1,1,1] => [9,2,1,1,1,1] [6,1,1,1,1,1,1,1,1,1] => [10,1,1,1,1,1] [5,5,5] => [3,3,3,3,3] [5,5,4,1] => [4,3,3,3,2] [5,5,3,2] => [4,4,3,2,2] [5,5,3,1,1] => [5,3,3,2,2] [5,5,2,2,1] => [5,4,2,2,2] [5,5,2,1,1,1] => [6,3,2,2,2] [5,5,1,1,1,1,1] => [7,2,2,2,2] [5,4,4,2] => [4,4,3,3,1] [5,4,4,1,1] => [5,3,3,3,1] [5,4,3,3] => [4,4,4,2,1] [5,4,3,2,1] => [5,4,3,2,1] [5,4,3,1,1,1] => [6,3,3,2,1] [5,4,2,2,2] => [5,5,2,2,1] [5,4,2,2,1,1] => [6,4,2,2,1] [5,4,2,1,1,1,1] => [7,3,2,2,1] [5,4,1,1,1,1,1,1] => [8,2,2,2,1] [5,3,3,3,1] => [5,4,4,1,1] [5,3,3,2,2] => [5,5,3,1,1] [5,3,3,2,1,1] => [6,4,3,1,1] [5,3,3,1,1,1,1] => [7,3,3,1,1] [5,3,2,2,2,1] => [6,5,2,1,1] [5,3,2,2,1,1,1] => [7,4,2,1,1] [5,3,2,1,1,1,1,1] => [8,3,2,1,1] [5,3,1,1,1,1,1,1,1] => [9,2,2,1,1] [5,2,2,2,2,2] => [6,6,1,1,1] [5,2,2,2,2,1,1] => [7,5,1,1,1] [5,2,2,2,1,1,1,1] => [8,4,1,1,1] [5,2,2,1,1,1,1,1,1] => [9,3,1,1,1] [5,2,1,1,1,1,1,1,1,1] => [10,2,1,1,1] [5,1,1,1,1,1,1,1,1,1,1] => [11,1,1,1,1] [4,4,4,3] => [4,4,4,3] [4,4,4,2,1] => [5,4,3,3] [4,4,4,1,1,1] => [6,3,3,3] [4,4,3,3,1] => [5,4,4,2] [4,4,3,2,2] => [5,5,3,2] [4,4,3,2,1,1] => [6,4,3,2] [4,4,3,1,1,1,1] => [7,3,3,2] [4,4,2,2,2,1] => [6,5,2,2] [4,4,2,2,1,1,1] => [7,4,2,2] [4,4,2,1,1,1,1,1] => [8,3,2,2] [4,4,1,1,1,1,1,1,1] => [9,2,2,2] [4,3,3,3,2] => [5,5,4,1] [4,3,3,3,1,1] => [6,4,4,1] [4,3,3,2,2,1] => [6,5,3,1] [4,3,3,2,1,1,1] => [7,4,3,1] [4,3,3,1,1,1,1,1] => [8,3,3,1] [4,3,2,2,2,2] => [6,6,2,1] [4,3,2,2,2,1,1] => [7,5,2,1] [4,3,2,2,1,1,1,1] => [8,4,2,1] [4,3,2,1,1,1,1,1,1] => [9,3,2,1] [4,3,1,1,1,1,1,1,1,1] => [10,2,2,1] [4,2,2,2,2,2,1] => [7,6,1,1] [4,2,2,2,2,1,1,1] => [8,5,1,1] [4,2,2,2,1,1,1,1,1] => [9,4,1,1] [4,2,2,1,1,1,1,1,1,1] => [10,3,1,1] [4,2,1,1,1,1,1,1,1,1,1] => [11,2,1,1] [4,1,1,1,1,1,1,1,1,1,1,1] => [12,1,1,1] [3,3,3,3,3] => [5,5,5] [3,3,3,3,2,1] => [6,5,4] [3,3,3,3,1,1,1] => [7,4,4] [3,3,3,2,2,2] => [6,6,3] [3,3,3,2,2,1,1] => [7,5,3] [3,3,3,2,1,1,1,1] => [8,4,3] [3,3,3,1,1,1,1,1,1] => [9,3,3] [3,3,2,2,2,2,1] => [7,6,2] [3,3,2,2,2,1,1,1] => [8,5,2] [3,3,2,2,1,1,1,1,1] => [9,4,2] [3,3,2,1,1,1,1,1,1,1] => [10,3,2] [3,3,1,1,1,1,1,1,1,1,1] => [11,2,2] [3,2,2,2,2,2,2] => [7,7,1] [3,2,2,2,2,2,1,1] => [8,6,1] [3,2,2,2,2,1,1,1,1] => [9,5,1] [3,2,2,2,1,1,1,1,1,1] => [10,4,1] [3,2,2,1,1,1,1,1,1,1,1] => [11,3,1] [3,2,1,1,1,1,1,1,1,1,1,1] => [12,2,1] [3,1,1,1,1,1,1,1,1,1,1,1,1] => [13,1,1] [2,2,2,2,2,2,2,1] => [8,7] [2,2,2,2,2,2,1,1,1] => [9,6] [2,2,2,2,2,1,1,1,1,1] => [10,5] [2,2,2,2,1,1,1,1,1,1,1] => [11,4] [2,2,2,1,1,1,1,1,1,1,1,1] => [12,3] [2,2,1,1,1,1,1,1,1,1,1,1,1] => [13,2] [2,1,1,1,1,1,1,1,1,1,1,1,1,1] => [14,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [15] [16] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [15,1] => [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [14,2] => [2,2,1,1,1,1,1,1,1,1,1,1,1,1] [14,1,1] => [3,1,1,1,1,1,1,1,1,1,1,1,1,1] [13,3] => [2,2,2,1,1,1,1,1,1,1,1,1,1] [13,2,1] => [3,2,1,1,1,1,1,1,1,1,1,1,1] [13,1,1,1] => [4,1,1,1,1,1,1,1,1,1,1,1,1] [12,4] => [2,2,2,2,1,1,1,1,1,1,1,1] [12,3,1] => [3,2,2,1,1,1,1,1,1,1,1,1] [12,2,2] => [3,3,1,1,1,1,1,1,1,1,1,1] [12,2,1,1] => [4,2,1,1,1,1,1,1,1,1,1,1] [12,1,1,1,1] => [5,1,1,1,1,1,1,1,1,1,1,1] [11,5] => [2,2,2,2,2,1,1,1,1,1,1] [11,4,1] => [3,2,2,2,1,1,1,1,1,1,1] [11,3,2] => [3,3,2,1,1,1,1,1,1,1,1] [11,3,1,1] => [4,2,2,1,1,1,1,1,1,1,1] [11,2,2,1] => [4,3,1,1,1,1,1,1,1,1,1] [11,2,1,1,1] => [5,2,1,1,1,1,1,1,1,1,1] [11,1,1,1,1,1] => [6,1,1,1,1,1,1,1,1,1,1] [10,6] => [2,2,2,2,2,2,1,1,1,1] [10,5,1] => [3,2,2,2,2,1,1,1,1,1] [10,4,2] => [3,3,2,2,1,1,1,1,1,1] [10,4,1,1] => [4,2,2,2,1,1,1,1,1,1] [10,3,3] => [3,3,3,1,1,1,1,1,1,1] [10,3,2,1] => [4,3,2,1,1,1,1,1,1,1] [10,3,1,1,1] => [5,2,2,1,1,1,1,1,1,1] [10,2,2,2] => [4,4,1,1,1,1,1,1,1,1] [10,2,2,1,1] => [5,3,1,1,1,1,1,1,1,1] [10,2,1,1,1,1] => [6,2,1,1,1,1,1,1,1,1] [10,1,1,1,1,1,1] => [7,1,1,1,1,1,1,1,1,1] [9,7] => [2,2,2,2,2,2,2,1,1] [9,6,1] => [3,2,2,2,2,2,1,1,1] [9,5,2] => [3,3,2,2,2,1,1,1,1] [9,5,1,1] => [4,2,2,2,2,1,1,1,1] [9,4,3] => [3,3,3,2,1,1,1,1,1] [9,4,2,1] => [4,3,2,2,1,1,1,1,1] [9,4,1,1,1] => [5,2,2,2,1,1,1,1,1] [9,3,3,1] => [4,3,3,1,1,1,1,1,1] [9,3,2,2] => [4,4,2,1,1,1,1,1,1] [9,3,2,1,1] => [5,3,2,1,1,1,1,1,1] [9,3,1,1,1,1] => [6,2,2,1,1,1,1,1,1] [9,2,2,2,1] => [5,4,1,1,1,1,1,1,1] [9,2,2,1,1,1] => [6,3,1,1,1,1,1,1,1] [9,2,1,1,1,1,1] => [7,2,1,1,1,1,1,1,1] [9,1,1,1,1,1,1,1] => [8,1,1,1,1,1,1,1,1] [8,8] => [2,2,2,2,2,2,2,2] [8,7,1] => [3,2,2,2,2,2,2,1] [8,6,2] => [3,3,2,2,2,2,1,1] [8,6,1,1] => [4,2,2,2,2,2,1,1] [8,5,3] => [3,3,3,2,2,1,1,1] [8,5,2,1] => [4,3,2,2,2,1,1,1] [8,5,1,1,1] => [5,2,2,2,2,1,1,1] [8,4,4] => [3,3,3,3,1,1,1,1] [8,4,3,1] => [4,3,3,2,1,1,1,1] [8,4,2,2] => [4,4,2,2,1,1,1,1] [8,4,2,1,1] => [5,3,2,2,1,1,1,1] [8,4,1,1,1,1] => [6,2,2,2,1,1,1,1] [8,3,3,2] => [4,4,3,1,1,1,1,1] [8,3,3,1,1] => [5,3,3,1,1,1,1,1] [8,3,2,2,1] => [5,4,2,1,1,1,1,1] [8,3,2,1,1,1] => [6,3,2,1,1,1,1,1] [8,3,1,1,1,1,1] => [7,2,2,1,1,1,1,1] [8,2,2,2,2] => [5,5,1,1,1,1,1,1] [8,2,2,2,1,1] => [6,4,1,1,1,1,1,1] [8,2,2,1,1,1,1] => [7,3,1,1,1,1,1,1] [8,2,1,1,1,1,1,1] => [8,2,1,1,1,1,1,1] [8,1,1,1,1,1,1,1,1] => [9,1,1,1,1,1,1,1] [7,7,2] => [3,3,2,2,2,2,2] [7,7,1,1] => [4,2,2,2,2,2,2] [7,6,3] => [3,3,3,2,2,2,1] [7,6,2,1] => [4,3,2,2,2,2,1] [7,6,1,1,1] => [5,2,2,2,2,2,1] [7,5,4] => [3,3,3,3,2,1,1] [7,5,3,1] => [4,3,3,2,2,1,1] [7,5,2,2] => [4,4,2,2,2,1,1] [7,5,2,1,1] => [5,3,2,2,2,1,1] [7,5,1,1,1,1] => [6,2,2,2,2,1,1] [7,4,4,1] => [4,3,3,3,1,1,1] [7,4,3,2] => [4,4,3,2,1,1,1] [7,4,3,1,1] => [5,3,3,2,1,1,1] [7,4,2,2,1] => [5,4,2,2,1,1,1] [7,4,2,1,1,1] => [6,3,2,2,1,1,1] [7,4,1,1,1,1,1] => [7,2,2,2,1,1,1] [7,3,3,3] => [4,4,4,1,1,1,1] [7,3,3,2,1] => [5,4,3,1,1,1,1] [7,3,3,1,1,1] => [6,3,3,1,1,1,1] [7,3,2,2,2] => [5,5,2,1,1,1,1] [7,3,2,2,1,1] => [6,4,2,1,1,1,1] [7,3,2,1,1,1,1] => [7,3,2,1,1,1,1] [7,3,1,1,1,1,1,1] => [8,2,2,1,1,1,1] [7,2,2,2,2,1] => [6,5,1,1,1,1,1] [7,2,2,2,1,1,1] => [7,4,1,1,1,1,1] [7,2,2,1,1,1,1,1] => [8,3,1,1,1,1,1] [7,2,1,1,1,1,1,1,1] => [9,2,1,1,1,1,1] [7,1,1,1,1,1,1,1,1,1] => [10,1,1,1,1,1,1] [6,6,4] => [3,3,3,3,2,2] [6,6,3,1] => [4,3,3,2,2,2] [6,6,2,2] => [4,4,2,2,2,2] [6,6,2,1,1] => [5,3,2,2,2,2] [6,6,1,1,1,1] => [6,2,2,2,2,2] [6,5,5] => [3,3,3,3,3,1] [6,5,4,1] => [4,3,3,3,2,1] [6,5,3,2] => [4,4,3,2,2,1] [6,5,3,1,1] => [5,3,3,2,2,1] [6,5,2,2,1] => [5,4,2,2,2,1] [6,5,2,1,1,1] => [6,3,2,2,2,1] [6,5,1,1,1,1,1] => [7,2,2,2,2,1] [6,4,4,2] => [4,4,3,3,1,1] [6,4,4,1,1] => [5,3,3,3,1,1] [6,4,3,3] => [4,4,4,2,1,1] [6,4,3,2,1] => [5,4,3,2,1,1] [6,4,3,1,1,1] => [6,3,3,2,1,1] [6,4,2,2,2] => [5,5,2,2,1,1] [6,4,2,2,1,1] => [6,4,2,2,1,1] [6,4,2,1,1,1,1] => [7,3,2,2,1,1] [6,4,1,1,1,1,1,1] => [8,2,2,2,1,1] [6,3,3,3,1] => [5,4,4,1,1,1] [6,3,3,2,2] => [5,5,3,1,1,1] [6,3,3,2,1,1] => [6,4,3,1,1,1] [6,3,3,1,1,1,1] => [7,3,3,1,1,1] [6,3,2,2,2,1] => [6,5,2,1,1,1] [6,3,2,2,1,1,1] => [7,4,2,1,1,1] [6,3,2,1,1,1,1,1] => [8,3,2,1,1,1] [6,3,1,1,1,1,1,1,1] => [9,2,2,1,1,1] [6,2,2,2,2,2] => [6,6,1,1,1,1] [6,2,2,2,2,1,1] => [7,5,1,1,1,1] [6,2,2,2,1,1,1,1] => [8,4,1,1,1,1] [6,2,2,1,1,1,1,1,1] => [9,3,1,1,1,1] [6,2,1,1,1,1,1,1,1,1] => [10,2,1,1,1,1] [6,1,1,1,1,1,1,1,1,1,1] => [11,1,1,1,1,1] [5,5,5,1] => [4,3,3,3,3] [5,5,4,2] => [4,4,3,3,2] [5,5,4,1,1] => [5,3,3,3,2] [5,5,3,3] => [4,4,4,2,2] [5,5,3,2,1] => [5,4,3,2,2] [5,5,3,1,1,1] => [6,3,3,2,2] [5,5,2,2,2] => [5,5,2,2,2] [5,5,2,2,1,1] => [6,4,2,2,2] [5,5,2,1,1,1,1] => [7,3,2,2,2] [5,5,1,1,1,1,1,1] => [8,2,2,2,2] [5,4,4,3] => [4,4,4,3,1] [5,4,4,2,1] => [5,4,3,3,1] [5,4,4,1,1,1] => [6,3,3,3,1] [5,4,3,3,1] => [5,4,4,2,1] [5,4,3,2,2] => [5,5,3,2,1] [5,4,3,2,1,1] => [6,4,3,2,1] [5,4,3,1,1,1,1] => [7,3,3,2,1] [5,4,2,2,2,1] => [6,5,2,2,1] [5,4,2,2,1,1,1] => [7,4,2,2,1] [5,4,2,1,1,1,1,1] => [8,3,2,2,1] [5,4,1,1,1,1,1,1,1] => [9,2,2,2,1] [5,3,3,3,2] => [5,5,4,1,1] [5,3,3,3,1,1] => [6,4,4,1,1] [5,3,3,2,2,1] => [6,5,3,1,1] [5,3,3,2,1,1,1] => [7,4,3,1,1] [5,3,3,1,1,1,1,1] => [8,3,3,1,1] [5,3,2,2,2,2] => [6,6,2,1,1] [5,3,2,2,2,1,1] => [7,5,2,1,1] [5,3,2,2,1,1,1,1] => [8,4,2,1,1] [5,3,2,1,1,1,1,1,1] => [9,3,2,1,1] [5,3,1,1,1,1,1,1,1,1] => [10,2,2,1,1] [5,2,2,2,2,2,1] => [7,6,1,1,1] [5,2,2,2,2,1,1,1] => [8,5,1,1,1] [5,2,2,2,1,1,1,1,1] => [9,4,1,1,1] [5,2,2,1,1,1,1,1,1,1] => [10,3,1,1,1] [5,2,1,1,1,1,1,1,1,1,1] => [11,2,1,1,1] [5,1,1,1,1,1,1,1,1,1,1,1] => [12,1,1,1,1] [4,4,4,4] => [4,4,4,4] [4,4,4,3,1] => [5,4,4,3] [4,4,4,2,2] => [5,5,3,3] [4,4,4,2,1,1] => [6,4,3,3] [4,4,4,1,1,1,1] => [7,3,3,3] [4,4,3,3,2] => [5,5,4,2] [4,4,3,3,1,1] => [6,4,4,2] [4,4,3,2,2,1] => [6,5,3,2] [4,4,3,2,1,1,1] => [7,4,3,2] [4,4,3,1,1,1,1,1] => [8,3,3,2] [4,4,2,2,2,2] => [6,6,2,2] [4,4,2,2,2,1,1] => [7,5,2,2] [4,4,2,2,1,1,1,1] => [8,4,2,2] [4,4,2,1,1,1,1,1,1] => [9,3,2,2] [4,4,1,1,1,1,1,1,1,1] => [10,2,2,2] [4,3,3,3,3] => [5,5,5,1] [4,3,3,3,2,1] => [6,5,4,1] [4,3,3,3,1,1,1] => [7,4,4,1] [4,3,3,2,2,2] => [6,6,3,1] [4,3,3,2,2,1,1] => [7,5,3,1] [4,3,3,2,1,1,1,1] => [8,4,3,1] [4,3,3,1,1,1,1,1,1] => [9,3,3,1] [4,3,2,2,2,2,1] => [7,6,2,1] [4,3,2,2,2,1,1,1] => [8,5,2,1] [4,3,2,2,1,1,1,1,1] => [9,4,2,1] [4,3,2,1,1,1,1,1,1,1] => [10,3,2,1] [4,3,1,1,1,1,1,1,1,1,1] => [11,2,2,1] [4,2,2,2,2,2,2] => [7,7,1,1] [4,2,2,2,2,2,1,1] => [8,6,1,1] [4,2,2,2,2,1,1,1,1] => [9,5,1,1] [4,2,2,2,1,1,1,1,1,1] => [10,4,1,1] [4,2,2,1,1,1,1,1,1,1,1] => [11,3,1,1] [4,2,1,1,1,1,1,1,1,1,1,1] => [12,2,1,1] [4,1,1,1,1,1,1,1,1,1,1,1,1] => [13,1,1,1] [3,3,3,3,3,1] => [6,5,5] [3,3,3,3,2,2] => [6,6,4] [3,3,3,3,2,1,1] => [7,5,4] [3,3,3,3,1,1,1,1] => [8,4,4] [3,3,3,2,2,2,1] => [7,6,3] [3,3,3,2,2,1,1,1] => [8,5,3] [3,3,3,2,1,1,1,1,1] => [9,4,3] [3,3,3,1,1,1,1,1,1,1] => [10,3,3] [3,3,2,2,2,2,2] => [7,7,2] [3,3,2,2,2,2,1,1] => [8,6,2] [3,3,2,2,2,1,1,1,1] => [9,5,2] [3,3,2,2,1,1,1,1,1,1] => [10,4,2] [3,3,2,1,1,1,1,1,1,1,1] => [11,3,2] [3,3,1,1,1,1,1,1,1,1,1,1] => [12,2,2] [3,2,2,2,2,2,2,1] => [8,7,1] [3,2,2,2,2,2,1,1,1] => [9,6,1] [3,2,2,2,2,1,1,1,1,1] => [10,5,1] [3,2,2,2,1,1,1,1,1,1,1] => [11,4,1] [3,2,2,1,1,1,1,1,1,1,1,1] => [12,3,1] [3,2,1,1,1,1,1,1,1,1,1,1,1] => [13,2,1] [3,1,1,1,1,1,1,1,1,1,1,1,1,1] => [14,1,1] [2,2,2,2,2,2,2,2] => [8,8] [2,2,2,2,2,2,2,1,1] => [9,7] [2,2,2,2,2,2,1,1,1,1] => [10,6] [2,2,2,2,2,1,1,1,1,1,1] => [11,5] [2,2,2,2,1,1,1,1,1,1,1,1] => [12,4] [2,2,2,1,1,1,1,1,1,1,1,1,1] => [13,3] [2,2,1,1,1,1,1,1,1,1,1,1,1,1] => [14,2] [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [15,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [16] [17] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [16,1] => [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [15,2] => [2,2,1,1,1,1,1,1,1,1,1,1,1,1,1] [15,1,1] => [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [14,3] => [2,2,2,1,1,1,1,1,1,1,1,1,1,1] [14,2,1] => [3,2,1,1,1,1,1,1,1,1,1,1,1,1] [14,1,1,1] => [4,1,1,1,1,1,1,1,1,1,1,1,1,1] [13,4] => [2,2,2,2,1,1,1,1,1,1,1,1,1] [13,3,1] => [3,2,2,1,1,1,1,1,1,1,1,1,1] [13,2,2] => [3,3,1,1,1,1,1,1,1,1,1,1,1] [13,2,1,1] => [4,2,1,1,1,1,1,1,1,1,1,1,1] [13,1,1,1,1] => [5,1,1,1,1,1,1,1,1,1,1,1,1] [12,5] => [2,2,2,2,2,1,1,1,1,1,1,1] [12,4,1] => [3,2,2,2,1,1,1,1,1,1,1,1] [12,3,2] => [3,3,2,1,1,1,1,1,1,1,1,1] [12,3,1,1] => [4,2,2,1,1,1,1,1,1,1,1,1] [12,2,2,1] => [4,3,1,1,1,1,1,1,1,1,1,1] [12,2,1,1,1] => [5,2,1,1,1,1,1,1,1,1,1,1] [12,1,1,1,1,1] => [6,1,1,1,1,1,1,1,1,1,1,1] [11,6] => [2,2,2,2,2,2,1,1,1,1,1] [11,5,1] => [3,2,2,2,2,1,1,1,1,1,1] [11,4,2] => [3,3,2,2,1,1,1,1,1,1,1] [11,4,1,1] => [4,2,2,2,1,1,1,1,1,1,1] [11,3,3] => [3,3,3,1,1,1,1,1,1,1,1] [11,3,2,1] => [4,3,2,1,1,1,1,1,1,1,1] [11,3,1,1,1] => [5,2,2,1,1,1,1,1,1,1,1] [11,2,2,2] => [4,4,1,1,1,1,1,1,1,1,1] [11,2,2,1,1] => [5,3,1,1,1,1,1,1,1,1,1] [11,2,1,1,1,1] => [6,2,1,1,1,1,1,1,1,1,1] [11,1,1,1,1,1,1] => [7,1,1,1,1,1,1,1,1,1,1] [10,7] => [2,2,2,2,2,2,2,1,1,1] [10,6,1] => [3,2,2,2,2,2,1,1,1,1] [10,5,2] => [3,3,2,2,2,1,1,1,1,1] [10,5,1,1] => [4,2,2,2,2,1,1,1,1,1] [10,4,3] => [3,3,3,2,1,1,1,1,1,1] [10,4,2,1] => [4,3,2,2,1,1,1,1,1,1] [10,4,1,1,1] => [5,2,2,2,1,1,1,1,1,1] [10,3,3,1] => [4,3,3,1,1,1,1,1,1,1] [10,3,2,2] => [4,4,2,1,1,1,1,1,1,1] [10,3,2,1,1] => [5,3,2,1,1,1,1,1,1,1] [10,3,1,1,1,1] => [6,2,2,1,1,1,1,1,1,1] [10,2,2,2,1] => [5,4,1,1,1,1,1,1,1,1] [10,2,2,1,1,1] => [6,3,1,1,1,1,1,1,1,1] [10,2,1,1,1,1,1] => [7,2,1,1,1,1,1,1,1,1] [10,1,1,1,1,1,1,1] => [8,1,1,1,1,1,1,1,1,1] [9,8] => [2,2,2,2,2,2,2,2,1] [9,7,1] => [3,2,2,2,2,2,2,1,1] [9,6,2] => [3,3,2,2,2,2,1,1,1] [9,6,1,1] => [4,2,2,2,2,2,1,1,1] [9,5,3] => [3,3,3,2,2,1,1,1,1] [9,5,2,1] => [4,3,2,2,2,1,1,1,1] [9,5,1,1,1] => [5,2,2,2,2,1,1,1,1] [9,4,4] => [3,3,3,3,1,1,1,1,1] [9,4,3,1] => [4,3,3,2,1,1,1,1,1] [9,4,2,2] => [4,4,2,2,1,1,1,1,1] [9,4,2,1,1] => [5,3,2,2,1,1,1,1,1] [9,4,1,1,1,1] => [6,2,2,2,1,1,1,1,1] [9,3,3,2] => [4,4,3,1,1,1,1,1,1] [9,3,3,1,1] => [5,3,3,1,1,1,1,1,1] [9,3,2,2,1] => [5,4,2,1,1,1,1,1,1] [9,3,2,1,1,1] => [6,3,2,1,1,1,1,1,1] [9,3,1,1,1,1,1] => [7,2,2,1,1,1,1,1,1] [9,2,2,2,2] => [5,5,1,1,1,1,1,1,1] [9,2,2,2,1,1] => [6,4,1,1,1,1,1,1,1] [9,2,2,1,1,1,1] => [7,3,1,1,1,1,1,1,1] [9,2,1,1,1,1,1,1] => [8,2,1,1,1,1,1,1,1] [9,1,1,1,1,1,1,1,1] => [9,1,1,1,1,1,1,1,1] [8,8,1] => [3,2,2,2,2,2,2,2] [8,7,2] => [3,3,2,2,2,2,2,1] [8,7,1,1] => [4,2,2,2,2,2,2,1] [8,6,3] => [3,3,3,2,2,2,1,1] [8,6,2,1] => [4,3,2,2,2,2,1,1] [8,6,1,1,1] => [5,2,2,2,2,2,1,1] [8,5,4] => [3,3,3,3,2,1,1,1] [8,5,3,1] => [4,3,3,2,2,1,1,1] [8,5,2,2] => [4,4,2,2,2,1,1,1] [8,5,2,1,1] => [5,3,2,2,2,1,1,1] [8,5,1,1,1,1] => [6,2,2,2,2,1,1,1] [8,4,4,1] => [4,3,3,3,1,1,1,1] [8,4,3,2] => [4,4,3,2,1,1,1,1] [8,4,3,1,1] => [5,3,3,2,1,1,1,1] [8,4,2,2,1] => [5,4,2,2,1,1,1,1] [8,4,2,1,1,1] => [6,3,2,2,1,1,1,1] [8,4,1,1,1,1,1] => [7,2,2,2,1,1,1,1] [8,3,3,3] => [4,4,4,1,1,1,1,1] [8,3,3,2,1] => [5,4,3,1,1,1,1,1] [8,3,3,1,1,1] => [6,3,3,1,1,1,1,1] [8,3,2,2,2] => [5,5,2,1,1,1,1,1] [8,3,2,2,1,1] => [6,4,2,1,1,1,1,1] [8,3,2,1,1,1,1] => [7,3,2,1,1,1,1,1] [8,3,1,1,1,1,1,1] => [8,2,2,1,1,1,1,1] [8,2,2,2,2,1] => [6,5,1,1,1,1,1,1] [8,2,2,2,1,1,1] => [7,4,1,1,1,1,1,1] [8,2,2,1,1,1,1,1] => [8,3,1,1,1,1,1,1] [8,2,1,1,1,1,1,1,1] => [9,2,1,1,1,1,1,1] [8,1,1,1,1,1,1,1,1,1] => [10,1,1,1,1,1,1,1] [7,7,3] => [3,3,3,2,2,2,2] [7,7,2,1] => [4,3,2,2,2,2,2] [7,7,1,1,1] => [5,2,2,2,2,2,2] [7,6,4] => [3,3,3,3,2,2,1] [7,6,3,1] => [4,3,3,2,2,2,1] [7,6,2,2] => [4,4,2,2,2,2,1] [7,6,2,1,1] => [5,3,2,2,2,2,1] [7,6,1,1,1,1] => [6,2,2,2,2,2,1] [7,5,5] => [3,3,3,3,3,1,1] [7,5,4,1] => [4,3,3,3,2,1,1] [7,5,3,2] => [4,4,3,2,2,1,1] [7,5,3,1,1] => [5,3,3,2,2,1,1] [7,5,2,2,1] => [5,4,2,2,2,1,1] [7,5,2,1,1,1] => [6,3,2,2,2,1,1] [7,5,1,1,1,1,1] => [7,2,2,2,2,1,1] [7,4,4,2] => [4,4,3,3,1,1,1] [7,4,4,1,1] => [5,3,3,3,1,1,1] [7,4,3,3] => [4,4,4,2,1,1,1] [7,4,3,2,1] => [5,4,3,2,1,1,1] [7,4,3,1,1,1] => [6,3,3,2,1,1,1] [7,4,2,2,2] => [5,5,2,2,1,1,1] [7,4,2,2,1,1] => [6,4,2,2,1,1,1] [7,4,2,1,1,1,1] => [7,3,2,2,1,1,1] [7,4,1,1,1,1,1,1] => [8,2,2,2,1,1,1] [7,3,3,3,1] => [5,4,4,1,1,1,1] [7,3,3,2,2] => [5,5,3,1,1,1,1] [7,3,3,2,1,1] => [6,4,3,1,1,1,1] [7,3,3,1,1,1,1] => [7,3,3,1,1,1,1] [7,3,2,2,2,1] => [6,5,2,1,1,1,1] [7,3,2,2,1,1,1] => [7,4,2,1,1,1,1] [7,3,2,1,1,1,1,1] => [8,3,2,1,1,1,1] [7,3,1,1,1,1,1,1,1] => [9,2,2,1,1,1,1] [7,2,2,2,2,2] => [6,6,1,1,1,1,1] [7,2,2,2,2,1,1] => [7,5,1,1,1,1,1] [7,2,2,2,1,1,1,1] => [8,4,1,1,1,1,1] [7,2,2,1,1,1,1,1,1] => [9,3,1,1,1,1,1] [7,2,1,1,1,1,1,1,1,1] => [10,2,1,1,1,1,1] [7,1,1,1,1,1,1,1,1,1,1] => [11,1,1,1,1,1,1] [6,6,5] => [3,3,3,3,3,2] [6,6,4,1] => [4,3,3,3,2,2] [6,6,3,2] => [4,4,3,2,2,2] [6,6,3,1,1] => [5,3,3,2,2,2] [6,6,2,2,1] => [5,4,2,2,2,2] [6,6,2,1,1,1] => [6,3,2,2,2,2] [6,6,1,1,1,1,1] => [7,2,2,2,2,2] [6,5,5,1] => [4,3,3,3,3,1] [6,5,4,2] => [4,4,3,3,2,1] [6,5,4,1,1] => [5,3,3,3,2,1] [6,5,3,3] => [4,4,4,2,2,1] [6,5,3,2,1] => [5,4,3,2,2,1] [6,5,3,1,1,1] => [6,3,3,2,2,1] [6,5,2,2,2] => [5,5,2,2,2,1] [6,5,2,2,1,1] => [6,4,2,2,2,1] [6,5,2,1,1,1,1] => [7,3,2,2,2,1] [6,5,1,1,1,1,1,1] => [8,2,2,2,2,1] [6,4,4,3] => [4,4,4,3,1,1] [6,4,4,2,1] => [5,4,3,3,1,1] [6,4,4,1,1,1] => [6,3,3,3,1,1] [6,4,3,3,1] => [5,4,4,2,1,1] [6,4,3,2,2] => [5,5,3,2,1,1] [6,4,3,2,1,1] => [6,4,3,2,1,1] [6,4,3,1,1,1,1] => [7,3,3,2,1,1] [6,4,2,2,2,1] => [6,5,2,2,1,1] [6,4,2,2,1,1,1] => [7,4,2,2,1,1] [6,4,2,1,1,1,1,1] => [8,3,2,2,1,1] [6,4,1,1,1,1,1,1,1] => [9,2,2,2,1,1] [6,3,3,3,2] => [5,5,4,1,1,1] [6,3,3,3,1,1] => [6,4,4,1,1,1] [6,3,3,2,2,1] => [6,5,3,1,1,1] [6,3,3,2,1,1,1] => [7,4,3,1,1,1] [6,3,3,1,1,1,1,1] => [8,3,3,1,1,1] [6,3,2,2,2,2] => [6,6,2,1,1,1] [6,3,2,2,2,1,1] => [7,5,2,1,1,1] [6,3,2,2,1,1,1,1] => [8,4,2,1,1,1] [6,3,2,1,1,1,1,1,1] => [9,3,2,1,1,1] [6,3,1,1,1,1,1,1,1,1] => [10,2,2,1,1,1] [6,2,2,2,2,2,1] => [7,6,1,1,1,1] [6,2,2,2,2,1,1,1] => [8,5,1,1,1,1] [6,2,2,2,1,1,1,1,1] => [9,4,1,1,1,1] [6,2,2,1,1,1,1,1,1,1] => [10,3,1,1,1,1] [6,2,1,1,1,1,1,1,1,1,1] => [11,2,1,1,1,1] [6,1,1,1,1,1,1,1,1,1,1,1] => [12,1,1,1,1,1] [5,5,5,2] => [4,4,3,3,3] [5,5,5,1,1] => [5,3,3,3,3] [5,5,4,3] => [4,4,4,3,2] [5,5,4,2,1] => [5,4,3,3,2] [5,5,4,1,1,1] => [6,3,3,3,2] [5,5,3,3,1] => [5,4,4,2,2] [5,5,3,2,2] => [5,5,3,2,2] [5,5,3,2,1,1] => [6,4,3,2,2] [5,5,3,1,1,1,1] => [7,3,3,2,2] [5,5,2,2,2,1] => [6,5,2,2,2] [5,5,2,2,1,1,1] => [7,4,2,2,2] [5,5,2,1,1,1,1,1] => [8,3,2,2,2] [5,5,1,1,1,1,1,1,1] => [9,2,2,2,2] [5,4,4,4] => [4,4,4,4,1] [5,4,4,3,1] => [5,4,4,3,1] [5,4,4,2,2] => [5,5,3,3,1] [5,4,4,2,1,1] => [6,4,3,3,1] [5,4,4,1,1,1,1] => [7,3,3,3,1] [5,4,3,3,2] => [5,5,4,2,1] [5,4,3,3,1,1] => [6,4,4,2,1] [5,4,3,2,2,1] => [6,5,3,2,1] [5,4,3,2,1,1,1] => [7,4,3,2,1] [5,4,3,1,1,1,1,1] => [8,3,3,2,1] [5,4,2,2,2,2] => [6,6,2,2,1] [5,4,2,2,2,1,1] => [7,5,2,2,1] [5,4,2,2,1,1,1,1] => [8,4,2,2,1] [5,4,2,1,1,1,1,1,1] => [9,3,2,2,1] [5,4,1,1,1,1,1,1,1,1] => [10,2,2,2,1] [5,3,3,3,3] => [5,5,5,1,1] [5,3,3,3,2,1] => [6,5,4,1,1] [5,3,3,3,1,1,1] => [7,4,4,1,1] [5,3,3,2,2,2] => [6,6,3,1,1] [5,3,3,2,2,1,1] => [7,5,3,1,1] [5,3,3,2,1,1,1,1] => [8,4,3,1,1] [5,3,3,1,1,1,1,1,1] => [9,3,3,1,1] [5,3,2,2,2,2,1] => [7,6,2,1,1] [5,3,2,2,2,1,1,1] => [8,5,2,1,1] [5,3,2,2,1,1,1,1,1] => [9,4,2,1,1] [5,3,2,1,1,1,1,1,1,1] => [10,3,2,1,1] [5,3,1,1,1,1,1,1,1,1,1] => [11,2,2,1,1] [5,2,2,2,2,2,2] => [7,7,1,1,1] [5,2,2,2,2,2,1,1] => [8,6,1,1,1] [5,2,2,2,2,1,1,1,1] => [9,5,1,1,1] [5,2,2,2,1,1,1,1,1,1] => [10,4,1,1,1] [5,2,2,1,1,1,1,1,1,1,1] => [11,3,1,1,1] [5,2,1,1,1,1,1,1,1,1,1,1] => [12,2,1,1,1] [5,1,1,1,1,1,1,1,1,1,1,1,1] => [13,1,1,1,1] [4,4,4,4,1] => [5,4,4,4] [4,4,4,3,2] => [5,5,4,3] [4,4,4,3,1,1] => [6,4,4,3] [4,4,4,2,2,1] => [6,5,3,3] [4,4,4,2,1,1,1] => [7,4,3,3] [4,4,4,1,1,1,1,1] => [8,3,3,3] [4,4,3,3,3] => [5,5,5,2] [4,4,3,3,2,1] => [6,5,4,2] [4,4,3,3,1,1,1] => [7,4,4,2] [4,4,3,2,2,2] => [6,6,3,2] [4,4,3,2,2,1,1] => [7,5,3,2] [4,4,3,2,1,1,1,1] => [8,4,3,2] [4,4,3,1,1,1,1,1,1] => [9,3,3,2] [4,4,2,2,2,2,1] => [7,6,2,2] [4,4,2,2,2,1,1,1] => [8,5,2,2] [4,4,2,2,1,1,1,1,1] => [9,4,2,2] [4,4,2,1,1,1,1,1,1,1] => [10,3,2,2] [4,4,1,1,1,1,1,1,1,1,1] => [11,2,2,2] [4,3,3,3,3,1] => [6,5,5,1] [4,3,3,3,2,2] => [6,6,4,1] [4,3,3,3,2,1,1] => [7,5,4,1] [4,3,3,3,1,1,1,1] => [8,4,4,1] [4,3,3,2,2,2,1] => [7,6,3,1] [4,3,3,2,2,1,1,1] => [8,5,3,1] [4,3,3,2,1,1,1,1,1] => [9,4,3,1] [4,3,3,1,1,1,1,1,1,1] => [10,3,3,1] [4,3,2,2,2,2,2] => [7,7,2,1] [4,3,2,2,2,2,1,1] => [8,6,2,1] [4,3,2,2,2,1,1,1,1] => [9,5,2,1] [4,3,2,2,1,1,1,1,1,1] => [10,4,2,1] [4,3,2,1,1,1,1,1,1,1,1] => [11,3,2,1] [4,3,1,1,1,1,1,1,1,1,1,1] => [12,2,2,1] [4,2,2,2,2,2,2,1] => [8,7,1,1] [4,2,2,2,2,2,1,1,1] => [9,6,1,1] [4,2,2,2,2,1,1,1,1,1] => [10,5,1,1] [4,2,2,2,1,1,1,1,1,1,1] => [11,4,1,1] [4,2,2,1,1,1,1,1,1,1,1,1] => [12,3,1,1] [4,2,1,1,1,1,1,1,1,1,1,1,1] => [13,2,1,1] [4,1,1,1,1,1,1,1,1,1,1,1,1,1] => [14,1,1,1] [3,3,3,3,3,2] => [6,6,5] [3,3,3,3,3,1,1] => [7,5,5] [3,3,3,3,2,2,1] => [7,6,4] [3,3,3,3,2,1,1,1] => [8,5,4] [3,3,3,3,1,1,1,1,1] => [9,4,4] [3,3,3,2,2,2,2] => [7,7,3] [3,3,3,2,2,2,1,1] => [8,6,3] [3,3,3,2,2,1,1,1,1] => [9,5,3] [3,3,3,2,1,1,1,1,1,1] => [10,4,3] [3,3,3,1,1,1,1,1,1,1,1] => [11,3,3] [3,3,2,2,2,2,2,1] => [8,7,2] [3,3,2,2,2,2,1,1,1] => [9,6,2] [3,3,2,2,2,1,1,1,1,1] => [10,5,2] [3,3,2,2,1,1,1,1,1,1,1] => [11,4,2] [3,3,2,1,1,1,1,1,1,1,1,1] => [12,3,2] [3,3,1,1,1,1,1,1,1,1,1,1,1] => [13,2,2] [3,2,2,2,2,2,2,2] => [8,8,1] [3,2,2,2,2,2,2,1,1] => [9,7,1] [3,2,2,2,2,2,1,1,1,1] => [10,6,1] [3,2,2,2,2,1,1,1,1,1,1] => [11,5,1] [3,2,2,2,1,1,1,1,1,1,1,1] => [12,4,1] [3,2,2,1,1,1,1,1,1,1,1,1,1] => [13,3,1] ----------------------------------------------------------------------------- Created: Jan 19, 2020 at 07:27 by FindStatCrew ----------------------------------------------------------------------------- Last Updated: Jan 19, 2020 at 07:27 by Martin Rubey