************************************************************************ * 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: Mp00202 ------------------------------------------------------------------------ Map name: first row removal ------------------------------------------------------------------------ Domain: Integer partitions ------------------------------------------------------------------------ Codomain: Integer partitions ------------------------------------------------------------------------ Description: Removes the first entry of an integer partition ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: def mapping(x): if x: return Partition(x[1:]) ------------------------------------------------------------------------ Map images: [1] => [] [2] => [] [1,1] => [1] [3] => [] [2,1] => [1] [1,1,1] => [1,1] [4] => [] [3,1] => [1] [2,2] => [2] [2,1,1] => [1,1] [1,1,1,1] => [1,1,1] [5] => [] [4,1] => [1] [3,2] => [2] [3,1,1] => [1,1] [2,2,1] => [2,1] [2,1,1,1] => [1,1,1] [1,1,1,1,1] => [1,1,1,1] [6] => [] [5,1] => [1] [4,2] => [2] [4,1,1] => [1,1] [3,3] => [3] [3,2,1] => [2,1] [3,1,1,1] => [1,1,1] [2,2,2] => [2,2] [2,2,1,1] => [2,1,1] [2,1,1,1,1] => [1,1,1,1] [1,1,1,1,1,1] => [1,1,1,1,1] [7] => [] [6,1] => [1] [5,2] => [2] [5,1,1] => [1,1] [4,3] => [3] [4,2,1] => [2,1] [4,1,1,1] => [1,1,1] [3,3,1] => [3,1] [3,2,2] => [2,2] [3,2,1,1] => [2,1,1] [3,1,1,1,1] => [1,1,1,1] [2,2,2,1] => [2,2,1] [2,2,1,1,1] => [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] [8] => [] [7,1] => [1] [6,2] => [2] [6,1,1] => [1,1] [5,3] => [3] [5,2,1] => [2,1] [5,1,1,1] => [1,1,1] [4,4] => [4] [4,3,1] => [3,1] [4,2,2] => [2,2] [4,2,1,1] => [2,1,1] [4,1,1,1,1] => [1,1,1,1] [3,3,2] => [3,2] [3,3,1,1] => [3,1,1] [3,2,2,1] => [2,2,1] [3,2,1,1,1] => [2,1,1,1] [3,1,1,1,1,1] => [1,1,1,1,1] [2,2,2,2] => [2,2,2] [2,2,2,1,1] => [2,2,1,1] [2,2,1,1,1,1] => [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] [9] => [] [8,1] => [1] [7,2] => [2] [7,1,1] => [1,1] [6,3] => [3] [6,2,1] => [2,1] [6,1,1,1] => [1,1,1] [5,4] => [4] [5,3,1] => [3,1] [5,2,2] => [2,2] [5,2,1,1] => [2,1,1] [5,1,1,1,1] => [1,1,1,1] [4,4,1] => [4,1] [4,3,2] => [3,2] [4,3,1,1] => [3,1,1] [4,2,2,1] => [2,2,1] [4,2,1,1,1] => [2,1,1,1] [4,1,1,1,1,1] => [1,1,1,1,1] [3,3,3] => [3,3] [3,3,2,1] => [3,2,1] [3,3,1,1,1] => [3,1,1,1] [3,2,2,2] => [2,2,2] [3,2,2,1,1] => [2,2,1,1] [3,2,1,1,1,1] => [2,1,1,1,1] [3,1,1,1,1,1,1] => [1,1,1,1,1,1] [2,2,2,2,1] => [2,2,2,1] [2,2,2,1,1,1] => [2,2,1,1,1] [2,2,1,1,1,1,1] => [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] [10] => [] [9,1] => [1] [8,2] => [2] [8,1,1] => [1,1] [7,3] => [3] [7,2,1] => [2,1] [7,1,1,1] => [1,1,1] [6,4] => [4] [6,3,1] => [3,1] [6,2,2] => [2,2] [6,2,1,1] => [2,1,1] [6,1,1,1,1] => [1,1,1,1] [5,5] => [5] [5,4,1] => [4,1] [5,3,2] => [3,2] [5,3,1,1] => [3,1,1] [5,2,2,1] => [2,2,1] [5,2,1,1,1] => [2,1,1,1] [5,1,1,1,1,1] => [1,1,1,1,1] [4,4,2] => [4,2] [4,4,1,1] => [4,1,1] [4,3,3] => [3,3] [4,3,2,1] => [3,2,1] [4,3,1,1,1] => [3,1,1,1] [4,2,2,2] => [2,2,2] [4,2,2,1,1] => [2,2,1,1] [4,2,1,1,1,1] => [2,1,1,1,1] [4,1,1,1,1,1,1] => [1,1,1,1,1,1] [3,3,3,1] => [3,3,1] [3,3,2,2] => [3,2,2] [3,3,2,1,1] => [3,2,1,1] [3,3,1,1,1,1] => [3,1,1,1,1] [3,2,2,2,1] => [2,2,2,1] [3,2,2,1,1,1] => [2,2,1,1,1] [3,2,1,1,1,1,1] => [2,1,1,1,1,1] [3,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] [2,2,2,2,2] => [2,2,2,2] [2,2,2,2,1,1] => [2,2,2,1,1] [2,2,2,1,1,1,1] => [2,2,1,1,1,1] [2,2,1,1,1,1,1,1] => [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] [11] => [] [10,1] => [1] [9,2] => [2] [9,1,1] => [1,1] [8,3] => [3] [8,2,1] => [2,1] [8,1,1,1] => [1,1,1] [7,4] => [4] [7,3,1] => [3,1] [7,2,2] => [2,2] [7,2,1,1] => [2,1,1] [7,1,1,1,1] => [1,1,1,1] [6,5] => [5] [6,4,1] => [4,1] [6,3,2] => [3,2] [6,3,1,1] => [3,1,1] [6,2,2,1] => [2,2,1] [6,2,1,1,1] => [2,1,1,1] [6,1,1,1,1,1] => [1,1,1,1,1] [5,5,1] => [5,1] [5,4,2] => [4,2] [5,4,1,1] => [4,1,1] [5,3,3] => [3,3] [5,3,2,1] => [3,2,1] [5,3,1,1,1] => [3,1,1,1] [5,2,2,2] => [2,2,2] [5,2,2,1,1] => [2,2,1,1] [5,2,1,1,1,1] => [2,1,1,1,1] [5,1,1,1,1,1,1] => [1,1,1,1,1,1] [4,4,3] => [4,3] [4,4,2,1] => [4,2,1] [4,4,1,1,1] => [4,1,1,1] [4,3,3,1] => [3,3,1] [4,3,2,2] => [3,2,2] [4,3,2,1,1] => [3,2,1,1] [4,3,1,1,1,1] => [3,1,1,1,1] [4,2,2,2,1] => [2,2,2,1] [4,2,2,1,1,1] => [2,2,1,1,1] [4,2,1,1,1,1,1] => [2,1,1,1,1,1] [4,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] [3,3,3,2] => [3,3,2] [3,3,3,1,1] => [3,3,1,1] [3,3,2,2,1] => [3,2,2,1] [3,3,2,1,1,1] => [3,2,1,1,1] [3,3,1,1,1,1,1] => [3,1,1,1,1,1] [3,2,2,2,2] => [2,2,2,2] [3,2,2,2,1,1] => [2,2,2,1,1] [3,2,2,1,1,1,1] => [2,2,1,1,1,1] [3,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] [3,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] [2,2,2,2,2,1] => [2,2,2,2,1] [2,2,2,2,1,1,1] => [2,2,2,1,1,1] [2,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] [2,2,1,1,1,1,1,1,1] => [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] [12] => [] [11,1] => [1] [10,2] => [2] [10,1,1] => [1,1] [9,3] => [3] [9,2,1] => [2,1] [9,1,1,1] => [1,1,1] [8,4] => [4] [8,3,1] => [3,1] [8,2,2] => [2,2] [8,2,1,1] => [2,1,1] [8,1,1,1,1] => [1,1,1,1] [7,5] => [5] [7,4,1] => [4,1] [7,3,2] => [3,2] [7,3,1,1] => [3,1,1] [7,2,2,1] => [2,2,1] [7,2,1,1,1] => [2,1,1,1] [7,1,1,1,1,1] => [1,1,1,1,1] [6,6] => [6] [6,5,1] => [5,1] [6,4,2] => [4,2] [6,4,1,1] => [4,1,1] [6,3,3] => [3,3] [6,3,2,1] => [3,2,1] [6,3,1,1,1] => [3,1,1,1] [6,2,2,2] => [2,2,2] [6,2,2,1,1] => [2,2,1,1] [6,2,1,1,1,1] => [2,1,1,1,1] [6,1,1,1,1,1,1] => [1,1,1,1,1,1] [5,5,2] => [5,2] [5,5,1,1] => [5,1,1] [5,4,3] => [4,3] [5,4,2,1] => [4,2,1] [5,4,1,1,1] => [4,1,1,1] [5,3,3,1] => [3,3,1] [5,3,2,2] => [3,2,2] [5,3,2,1,1] => [3,2,1,1] [5,3,1,1,1,1] => [3,1,1,1,1] [5,2,2,2,1] => [2,2,2,1] [5,2,2,1,1,1] => [2,2,1,1,1] [5,2,1,1,1,1,1] => [2,1,1,1,1,1] [5,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] [4,4,4] => [4,4] [4,4,3,1] => [4,3,1] [4,4,2,2] => [4,2,2] [4,4,2,1,1] => [4,2,1,1] [4,4,1,1,1,1] => [4,1,1,1,1] [4,3,3,2] => [3,3,2] [4,3,3,1,1] => [3,3,1,1] [4,3,2,2,1] => [3,2,2,1] [4,3,2,1,1,1] => [3,2,1,1,1] [4,3,1,1,1,1,1] => [3,1,1,1,1,1] [4,2,2,2,2] => [2,2,2,2] [4,2,2,2,1,1] => [2,2,2,1,1] [4,2,2,1,1,1,1] => [2,2,1,1,1,1] [4,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] [4,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] [3,3,3,3] => [3,3,3] [3,3,3,2,1] => [3,3,2,1] [3,3,3,1,1,1] => [3,3,1,1,1] [3,3,2,2,2] => [3,2,2,2] [3,3,2,2,1,1] => [3,2,2,1,1] [3,3,2,1,1,1,1] => [3,2,1,1,1,1] [3,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] [3,2,2,2,2,1] => [2,2,2,2,1] [3,2,2,2,1,1,1] => [2,2,2,1,1,1] [3,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] [3,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] [3,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] [2,2,2,2,2,2] => [2,2,2,2,2] [2,2,2,2,2,1,1] => [2,2,2,2,1,1] [2,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] [2,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] [2,2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] [2,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] [13] => [] [12,1] => [1] [11,2] => [2] [11,1,1] => [1,1] [10,3] => [3] [10,2,1] => [2,1] [10,1,1,1] => [1,1,1] [9,4] => [4] [9,3,1] => [3,1] [9,2,2] => [2,2] [9,2,1,1] => [2,1,1] [9,1,1,1,1] => [1,1,1,1] [8,5] => [5] [8,4,1] => [4,1] [8,3,2] => [3,2] [8,3,1,1] => [3,1,1] [8,2,2,1] => [2,2,1] [8,2,1,1,1] => [2,1,1,1] [8,1,1,1,1,1] => [1,1,1,1,1] [7,6] => [6] [7,5,1] => [5,1] [7,4,2] => [4,2] [7,4,1,1] => [4,1,1] [7,3,3] => [3,3] [7,3,2,1] => [3,2,1] [7,3,1,1,1] => [3,1,1,1] [7,2,2,2] => [2,2,2] [7,2,2,1,1] => [2,2,1,1] [7,2,1,1,1,1] => [2,1,1,1,1] [7,1,1,1,1,1,1] => [1,1,1,1,1,1] [6,6,1] => [6,1] [6,5,2] => [5,2] [6,5,1,1] => [5,1,1] [6,4,3] => [4,3] [6,4,2,1] => [4,2,1] [6,4,1,1,1] => [4,1,1,1] [6,3,3,1] => [3,3,1] [6,3,2,2] => [3,2,2] [6,3,2,1,1] => [3,2,1,1] [6,3,1,1,1,1] => [3,1,1,1,1] [6,2,2,2,1] => [2,2,2,1] [6,2,2,1,1,1] => [2,2,1,1,1] [6,2,1,1,1,1,1] => [2,1,1,1,1,1] [6,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] [5,5,3] => [5,3] [5,5,2,1] => [5,2,1] [5,5,1,1,1] => [5,1,1,1] [5,4,4] => [4,4] [5,4,3,1] => [4,3,1] [5,4,2,2] => [4,2,2] [5,4,2,1,1] => [4,2,1,1] [5,4,1,1,1,1] => [4,1,1,1,1] [5,3,3,2] => [3,3,2] [5,3,3,1,1] => [3,3,1,1] [5,3,2,2,1] => [3,2,2,1] [5,3,2,1,1,1] => [3,2,1,1,1] [5,3,1,1,1,1,1] => [3,1,1,1,1,1] [5,2,2,2,2] => [2,2,2,2] [5,2,2,2,1,1] => [2,2,2,1,1] [5,2,2,1,1,1,1] => [2,2,1,1,1,1] [5,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] [5,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] [4,4,4,1] => [4,4,1] [4,4,3,2] => [4,3,2] [4,4,3,1,1] => [4,3,1,1] [4,4,2,2,1] => [4,2,2,1] [4,4,2,1,1,1] => [4,2,1,1,1] [4,4,1,1,1,1,1] => [4,1,1,1,1,1] [4,3,3,3] => [3,3,3] [4,3,3,2,1] => [3,3,2,1] [4,3,3,1,1,1] => [3,3,1,1,1] [4,3,2,2,2] => [3,2,2,2] [4,3,2,2,1,1] => [3,2,2,1,1] [4,3,2,1,1,1,1] => [3,2,1,1,1,1] [4,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] [4,2,2,2,2,1] => [2,2,2,2,1] [4,2,2,2,1,1,1] => [2,2,2,1,1,1] [4,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] [4,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] [4,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] [3,3,3,3,1] => [3,3,3,1] [3,3,3,2,2] => [3,3,2,2] [3,3,3,2,1,1] => [3,3,2,1,1] [3,3,3,1,1,1,1] => [3,3,1,1,1,1] [3,3,2,2,2,1] => [3,2,2,2,1] [3,3,2,2,1,1,1] => [3,2,2,1,1,1] [3,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] [3,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] [3,2,2,2,2,2] => [2,2,2,2,2] [3,2,2,2,2,1,1] => [2,2,2,2,1,1] [3,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] [3,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] [3,2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] [3,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] [2,2,2,2,2,2,1] => [2,2,2,2,2,1] [2,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] [2,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] [2,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] [2,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] [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] [14] => [] [13,1] => [1] [12,2] => [2] [12,1,1] => [1,1] [11,3] => [3] [11,2,1] => [2,1] [11,1,1,1] => [1,1,1] [10,4] => [4] [10,3,1] => [3,1] [10,2,2] => [2,2] [10,2,1,1] => [2,1,1] [10,1,1,1,1] => [1,1,1,1] [9,5] => [5] [9,4,1] => [4,1] [9,3,2] => [3,2] [9,3,1,1] => [3,1,1] [9,2,2,1] => [2,2,1] [9,2,1,1,1] => [2,1,1,1] [9,1,1,1,1,1] => [1,1,1,1,1] [8,6] => [6] [8,5,1] => [5,1] [8,4,2] => [4,2] [8,4,1,1] => [4,1,1] [8,3,3] => [3,3] [8,3,2,1] => [3,2,1] [8,3,1,1,1] => [3,1,1,1] [8,2,2,2] => [2,2,2] [8,2,2,1,1] => [2,2,1,1] [8,2,1,1,1,1] => [2,1,1,1,1] [8,1,1,1,1,1,1] => [1,1,1,1,1,1] [7,7] => [7] [7,6,1] => [6,1] [7,5,2] => [5,2] [7,5,1,1] => [5,1,1] [7,4,3] => [4,3] [7,4,2,1] => [4,2,1] [7,4,1,1,1] => [4,1,1,1] [7,3,3,1] => [3,3,1] [7,3,2,2] => [3,2,2] [7,3,2,1,1] => [3,2,1,1] [7,3,1,1,1,1] => [3,1,1,1,1] [7,2,2,2,1] => [2,2,2,1] [7,2,2,1,1,1] => [2,2,1,1,1] [7,2,1,1,1,1,1] => [2,1,1,1,1,1] [7,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] [6,6,2] => [6,2] [6,6,1,1] => [6,1,1] [6,5,3] => [5,3] [6,5,2,1] => [5,2,1] [6,5,1,1,1] => [5,1,1,1] [6,4,4] => [4,4] [6,4,3,1] => [4,3,1] [6,4,2,2] => [4,2,2] [6,4,2,1,1] => [4,2,1,1] [6,4,1,1,1,1] => [4,1,1,1,1] [6,3,3,2] => [3,3,2] [6,3,3,1,1] => [3,3,1,1] [6,3,2,2,1] => [3,2,2,1] [6,3,2,1,1,1] => [3,2,1,1,1] [6,3,1,1,1,1,1] => [3,1,1,1,1,1] [6,2,2,2,2] => [2,2,2,2] [6,2,2,2,1,1] => [2,2,2,1,1] [6,2,2,1,1,1,1] => [2,2,1,1,1,1] [6,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] [6,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] [5,5,4] => [5,4] [5,5,3,1] => [5,3,1] [5,5,2,2] => [5,2,2] [5,5,2,1,1] => [5,2,1,1] [5,5,1,1,1,1] => [5,1,1,1,1] [5,4,4,1] => [4,4,1] [5,4,3,2] => [4,3,2] [5,4,3,1,1] => [4,3,1,1] [5,4,2,2,1] => [4,2,2,1] [5,4,2,1,1,1] => [4,2,1,1,1] [5,4,1,1,1,1,1] => [4,1,1,1,1,1] [5,3,3,3] => [3,3,3] [5,3,3,2,1] => [3,3,2,1] [5,3,3,1,1,1] => [3,3,1,1,1] [5,3,2,2,2] => [3,2,2,2] [5,3,2,2,1,1] => [3,2,2,1,1] [5,3,2,1,1,1,1] => [3,2,1,1,1,1] [5,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] [5,2,2,2,2,1] => [2,2,2,2,1] [5,2,2,2,1,1,1] => [2,2,2,1,1,1] [5,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] [5,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] [5,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] [4,4,4,2] => [4,4,2] [4,4,4,1,1] => [4,4,1,1] [4,4,3,3] => [4,3,3] [4,4,3,2,1] => [4,3,2,1] [4,4,3,1,1,1] => [4,3,1,1,1] [4,4,2,2,2] => [4,2,2,2] [4,4,2,2,1,1] => [4,2,2,1,1] [4,4,2,1,1,1,1] => [4,2,1,1,1,1] [4,4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] [4,3,3,3,1] => [3,3,3,1] [4,3,3,2,2] => [3,3,2,2] [4,3,3,2,1,1] => [3,3,2,1,1] [4,3,3,1,1,1,1] => [3,3,1,1,1,1] [4,3,2,2,2,1] => [3,2,2,2,1] [4,3,2,2,1,1,1] => [3,2,2,1,1,1] [4,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] [4,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] [4,2,2,2,2,2] => [2,2,2,2,2] [4,2,2,2,2,1,1] => [2,2,2,2,1,1] [4,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] [4,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] [4,2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] [4,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] [3,3,3,3,2] => [3,3,3,2] [3,3,3,3,1,1] => [3,3,3,1,1] [3,3,3,2,2,1] => [3,3,2,2,1] [3,3,3,2,1,1,1] => [3,3,2,1,1,1] [3,3,3,1,1,1,1,1] => [3,3,1,1,1,1,1] [3,3,2,2,2,2] => [3,2,2,2,2] [3,3,2,2,2,1,1] => [3,2,2,2,1,1] [3,3,2,2,1,1,1,1] => [3,2,2,1,1,1,1] [3,3,2,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1] [3,3,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1] [3,2,2,2,2,2,1] => [2,2,2,2,2,1] [3,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] [3,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] [3,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] [3,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] [3,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] [2,2,2,2,2,2,2] => [2,2,2,2,2,2] [2,2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] [2,2,2,2,2,1,1,1,1] => [2,2,2,2,1,1,1,1] [2,2,2,2,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1] [2,2,2,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] [2,2,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] [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] [15] => [] [14,1] => [1] [13,2] => [2] [13,1,1] => [1,1] [12,3] => [3] [12,2,1] => [2,1] [12,1,1,1] => [1,1,1] [11,4] => [4] [11,3,1] => [3,1] [11,2,2] => [2,2] [11,2,1,1] => [2,1,1] [11,1,1,1,1] => [1,1,1,1] [10,5] => [5] [10,4,1] => [4,1] [10,3,2] => [3,2] [10,3,1,1] => [3,1,1] [10,2,2,1] => [2,2,1] [10,2,1,1,1] => [2,1,1,1] [10,1,1,1,1,1] => [1,1,1,1,1] [9,6] => [6] [9,5,1] => [5,1] [9,4,2] => [4,2] [9,4,1,1] => [4,1,1] [9,3,3] => [3,3] [9,3,2,1] => [3,2,1] [9,3,1,1,1] => [3,1,1,1] [9,2,2,2] => [2,2,2] [9,2,2,1,1] => [2,2,1,1] [9,2,1,1,1,1] => [2,1,1,1,1] [9,1,1,1,1,1,1] => [1,1,1,1,1,1] [8,7] => [7] [8,6,1] => [6,1] [8,5,2] => [5,2] [8,5,1,1] => [5,1,1] [8,4,3] => [4,3] [8,4,2,1] => [4,2,1] [8,4,1,1,1] => [4,1,1,1] [8,3,3,1] => [3,3,1] [8,3,2,2] => [3,2,2] [8,3,2,1,1] => [3,2,1,1] [8,3,1,1,1,1] => [3,1,1,1,1] [8,2,2,2,1] => [2,2,2,1] [8,2,2,1,1,1] => [2,2,1,1,1] [8,2,1,1,1,1,1] => [2,1,1,1,1,1] [8,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] [7,7,1] => [7,1] [7,6,2] => [6,2] [7,6,1,1] => [6,1,1] [7,5,3] => [5,3] [7,5,2,1] => [5,2,1] [7,5,1,1,1] => [5,1,1,1] [7,4,4] => [4,4] [7,4,3,1] => [4,3,1] [7,4,2,2] => [4,2,2] [7,4,2,1,1] => [4,2,1,1] [7,4,1,1,1,1] => [4,1,1,1,1] [7,3,3,2] => [3,3,2] [7,3,3,1,1] => [3,3,1,1] [7,3,2,2,1] => [3,2,2,1] [7,3,2,1,1,1] => [3,2,1,1,1] [7,3,1,1,1,1,1] => [3,1,1,1,1,1] [7,2,2,2,2] => [2,2,2,2] [7,2,2,2,1,1] => [2,2,2,1,1] [7,2,2,1,1,1,1] => [2,2,1,1,1,1] [7,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] [7,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] [6,6,3] => [6,3] [6,6,2,1] => [6,2,1] [6,6,1,1,1] => [6,1,1,1] [6,5,4] => [5,4] [6,5,3,1] => [5,3,1] [6,5,2,2] => [5,2,2] [6,5,2,1,1] => [5,2,1,1] [6,5,1,1,1,1] => [5,1,1,1,1] [6,4,4,1] => [4,4,1] [6,4,3,2] => [4,3,2] [6,4,3,1,1] => [4,3,1,1] [6,4,2,2,1] => [4,2,2,1] [6,4,2,1,1,1] => [4,2,1,1,1] [6,4,1,1,1,1,1] => [4,1,1,1,1,1] [6,3,3,3] => [3,3,3] [6,3,3,2,1] => [3,3,2,1] [6,3,3,1,1,1] => [3,3,1,1,1] [6,3,2,2,2] => [3,2,2,2] [6,3,2,2,1,1] => [3,2,2,1,1] [6,3,2,1,1,1,1] => [3,2,1,1,1,1] [6,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] [6,2,2,2,2,1] => [2,2,2,2,1] [6,2,2,2,1,1,1] => [2,2,2,1,1,1] [6,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] [6,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] [6,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] [5,5,5] => [5,5] [5,5,4,1] => [5,4,1] [5,5,3,2] => [5,3,2] [5,5,3,1,1] => [5,3,1,1] [5,5,2,2,1] => [5,2,2,1] [5,5,2,1,1,1] => [5,2,1,1,1] [5,5,1,1,1,1,1] => [5,1,1,1,1,1] [5,4,4,2] => [4,4,2] [5,4,4,1,1] => [4,4,1,1] [5,4,3,3] => [4,3,3] [5,4,3,2,1] => [4,3,2,1] [5,4,3,1,1,1] => [4,3,1,1,1] [5,4,2,2,2] => [4,2,2,2] [5,4,2,2,1,1] => [4,2,2,1,1] [5,4,2,1,1,1,1] => [4,2,1,1,1,1] [5,4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] [5,3,3,3,1] => [3,3,3,1] [5,3,3,2,2] => [3,3,2,2] [5,3,3,2,1,1] => [3,3,2,1,1] [5,3,3,1,1,1,1] => [3,3,1,1,1,1] [5,3,2,2,2,1] => [3,2,2,2,1] [5,3,2,2,1,1,1] => [3,2,2,1,1,1] [5,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] [5,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] [5,2,2,2,2,2] => [2,2,2,2,2] [5,2,2,2,2,1,1] => [2,2,2,2,1,1] [5,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] [5,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] [5,2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] [5,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] [4,4,4,3] => [4,4,3] [4,4,4,2,1] => [4,4,2,1] [4,4,4,1,1,1] => [4,4,1,1,1] [4,4,3,3,1] => [4,3,3,1] [4,4,3,2,2] => [4,3,2,2] [4,4,3,2,1,1] => [4,3,2,1,1] [4,4,3,1,1,1,1] => [4,3,1,1,1,1] [4,4,2,2,2,1] => [4,2,2,2,1] [4,4,2,2,1,1,1] => [4,2,2,1,1,1] [4,4,2,1,1,1,1,1] => [4,2,1,1,1,1,1] [4,4,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1] [4,3,3,3,2] => [3,3,3,2] [4,3,3,3,1,1] => [3,3,3,1,1] [4,3,3,2,2,1] => [3,3,2,2,1] [4,3,3,2,1,1,1] => [3,3,2,1,1,1] [4,3,3,1,1,1,1,1] => [3,3,1,1,1,1,1] [4,3,2,2,2,2] => [3,2,2,2,2] [4,3,2,2,2,1,1] => [3,2,2,2,1,1] [4,3,2,2,1,1,1,1] => [3,2,2,1,1,1,1] [4,3,2,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1] [4,3,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1] [4,2,2,2,2,2,1] => [2,2,2,2,2,1] [4,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] [4,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] [4,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] [4,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] [4,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] [3,3,3,3,3] => [3,3,3,3] [3,3,3,3,2,1] => [3,3,3,2,1] [3,3,3,3,1,1,1] => [3,3,3,1,1,1] [3,3,3,2,2,2] => [3,3,2,2,2] [3,3,3,2,2,1,1] => [3,3,2,2,1,1] [3,3,3,2,1,1,1,1] => [3,3,2,1,1,1,1] [3,3,3,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1] [3,3,2,2,2,2,1] => [3,2,2,2,2,1] [3,3,2,2,2,1,1,1] => [3,2,2,2,1,1,1] [3,3,2,2,1,1,1,1,1] => [3,2,2,1,1,1,1,1] [3,3,2,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1] [3,3,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1] [3,2,2,2,2,2,2] => [2,2,2,2,2,2] [3,2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] [3,2,2,2,2,1,1,1,1] => [2,2,2,2,1,1,1,1] [3,2,2,2,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1] [3,2,2,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] [3,2,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] [3,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1] [2,2,2,2,2,2,2,1] => [2,2,2,2,2,2,1] [2,2,2,2,2,2,1,1,1] => [2,2,2,2,2,1,1,1] [2,2,2,2,2,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1] [2,2,2,2,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1] [2,2,2,1,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1,1] [2,2,1,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1,1] [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] [16] => [] [15,1] => [1] [14,2] => [2] [14,1,1] => [1,1] [13,3] => [3] [13,2,1] => [2,1] [13,1,1,1] => [1,1,1] [12,4] => [4] [12,3,1] => [3,1] [12,2,2] => [2,2] [12,2,1,1] => [2,1,1] [12,1,1,1,1] => [1,1,1,1] [11,5] => [5] [11,4,1] => [4,1] [11,3,2] => [3,2] [11,3,1,1] => [3,1,1] [11,2,2,1] => [2,2,1] [11,2,1,1,1] => [2,1,1,1] [11,1,1,1,1,1] => [1,1,1,1,1] [10,6] => [6] [10,5,1] => [5,1] [10,4,2] => [4,2] [10,4,1,1] => [4,1,1] [10,3,3] => [3,3] [10,3,2,1] => [3,2,1] [10,3,1,1,1] => [3,1,1,1] [10,2,2,2] => [2,2,2] [10,2,2,1,1] => [2,2,1,1] [10,2,1,1,1,1] => [2,1,1,1,1] [10,1,1,1,1,1,1] => [1,1,1,1,1,1] [9,7] => [7] [9,6,1] => [6,1] [9,5,2] => [5,2] [9,5,1,1] => [5,1,1] [9,4,3] => [4,3] [9,4,2,1] => [4,2,1] [9,4,1,1,1] => [4,1,1,1] [9,3,3,1] => [3,3,1] [9,3,2,2] => [3,2,2] [9,3,2,1,1] => [3,2,1,1] [9,3,1,1,1,1] => [3,1,1,1,1] [9,2,2,2,1] => [2,2,2,1] [9,2,2,1,1,1] => [2,2,1,1,1] [9,2,1,1,1,1,1] => [2,1,1,1,1,1] [9,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] [8,8] => [8] [8,7,1] => [7,1] [8,6,2] => [6,2] [8,6,1,1] => [6,1,1] [8,5,3] => [5,3] [8,5,2,1] => [5,2,1] [8,5,1,1,1] => [5,1,1,1] [8,4,4] => [4,4] [8,4,3,1] => [4,3,1] [8,4,2,2] => [4,2,2] [8,4,2,1,1] => [4,2,1,1] [8,4,1,1,1,1] => [4,1,1,1,1] [8,3,3,2] => [3,3,2] [8,3,3,1,1] => [3,3,1,1] [8,3,2,2,1] => [3,2,2,1] [8,3,2,1,1,1] => [3,2,1,1,1] [8,3,1,1,1,1,1] => [3,1,1,1,1,1] [8,2,2,2,2] => [2,2,2,2] [8,2,2,2,1,1] => [2,2,2,1,1] [8,2,2,1,1,1,1] => [2,2,1,1,1,1] [8,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] [8,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] [7,7,2] => [7,2] [7,7,1,1] => [7,1,1] [7,6,3] => [6,3] [7,6,2,1] => [6,2,1] [7,6,1,1,1] => [6,1,1,1] [7,5,4] => [5,4] [7,5,3,1] => [5,3,1] [7,5,2,2] => [5,2,2] [7,5,2,1,1] => [5,2,1,1] [7,5,1,1,1,1] => [5,1,1,1,1] [7,4,4,1] => [4,4,1] [7,4,3,2] => [4,3,2] [7,4,3,1,1] => [4,3,1,1] [7,4,2,2,1] => [4,2,2,1] [7,4,2,1,1,1] => [4,2,1,1,1] [7,4,1,1,1,1,1] => [4,1,1,1,1,1] [7,3,3,3] => [3,3,3] [7,3,3,2,1] => [3,3,2,1] [7,3,3,1,1,1] => [3,3,1,1,1] [7,3,2,2,2] => [3,2,2,2] [7,3,2,2,1,1] => [3,2,2,1,1] [7,3,2,1,1,1,1] => [3,2,1,1,1,1] [7,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] [7,2,2,2,2,1] => [2,2,2,2,1] [7,2,2,2,1,1,1] => [2,2,2,1,1,1] [7,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] [7,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] [7,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] [6,6,4] => [6,4] [6,6,3,1] => [6,3,1] [6,6,2,2] => [6,2,2] [6,6,2,1,1] => [6,2,1,1] [6,6,1,1,1,1] => [6,1,1,1,1] [6,5,5] => [5,5] [6,5,4,1] => [5,4,1] [6,5,3,2] => [5,3,2] [6,5,3,1,1] => [5,3,1,1] [6,5,2,2,1] => [5,2,2,1] [6,5,2,1,1,1] => [5,2,1,1,1] [6,5,1,1,1,1,1] => [5,1,1,1,1,1] [6,4,4,2] => [4,4,2] [6,4,4,1,1] => [4,4,1,1] [6,4,3,3] => [4,3,3] [6,4,3,2,1] => [4,3,2,1] [6,4,3,1,1,1] => [4,3,1,1,1] [6,4,2,2,2] => [4,2,2,2] [6,4,2,2,1,1] => [4,2,2,1,1] [6,4,2,1,1,1,1] => [4,2,1,1,1,1] [6,4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] [6,3,3,3,1] => [3,3,3,1] [6,3,3,2,2] => [3,3,2,2] [6,3,3,2,1,1] => [3,3,2,1,1] [6,3,3,1,1,1,1] => [3,3,1,1,1,1] [6,3,2,2,2,1] => [3,2,2,2,1] [6,3,2,2,1,1,1] => [3,2,2,1,1,1] [6,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] [6,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] [6,2,2,2,2,2] => [2,2,2,2,2] [6,2,2,2,2,1,1] => [2,2,2,2,1,1] [6,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] [6,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] [6,2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] [6,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] [5,5,5,1] => [5,5,1] [5,5,4,2] => [5,4,2] [5,5,4,1,1] => [5,4,1,1] [5,5,3,3] => [5,3,3] [5,5,3,2,1] => [5,3,2,1] [5,5,3,1,1,1] => [5,3,1,1,1] [5,5,2,2,2] => [5,2,2,2] [5,5,2,2,1,1] => [5,2,2,1,1] [5,5,2,1,1,1,1] => [5,2,1,1,1,1] [5,5,1,1,1,1,1,1] => [5,1,1,1,1,1,1] [5,4,4,3] => [4,4,3] [5,4,4,2,1] => [4,4,2,1] [5,4,4,1,1,1] => [4,4,1,1,1] [5,4,3,3,1] => [4,3,3,1] [5,4,3,2,2] => [4,3,2,2] [5,4,3,2,1,1] => [4,3,2,1,1] [5,4,3,1,1,1,1] => [4,3,1,1,1,1] [5,4,2,2,2,1] => [4,2,2,2,1] [5,4,2,2,1,1,1] => [4,2,2,1,1,1] [5,4,2,1,1,1,1,1] => [4,2,1,1,1,1,1] [5,4,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1] [5,3,3,3,2] => [3,3,3,2] [5,3,3,3,1,1] => [3,3,3,1,1] [5,3,3,2,2,1] => [3,3,2,2,1] [5,3,3,2,1,1,1] => [3,3,2,1,1,1] [5,3,3,1,1,1,1,1] => [3,3,1,1,1,1,1] [5,3,2,2,2,2] => [3,2,2,2,2] [5,3,2,2,2,1,1] => [3,2,2,2,1,1] [5,3,2,2,1,1,1,1] => [3,2,2,1,1,1,1] [5,3,2,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1] [5,3,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1] [5,2,2,2,2,2,1] => [2,2,2,2,2,1] [5,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] [5,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] [5,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] [5,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] [5,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] [4,4,4,4] => [4,4,4] [4,4,4,3,1] => [4,4,3,1] [4,4,4,2,2] => [4,4,2,2] [4,4,4,2,1,1] => [4,4,2,1,1] [4,4,4,1,1,1,1] => [4,4,1,1,1,1] [4,4,3,3,2] => [4,3,3,2] [4,4,3,3,1,1] => [4,3,3,1,1] [4,4,3,2,2,1] => [4,3,2,2,1] [4,4,3,2,1,1,1] => [4,3,2,1,1,1] [4,4,3,1,1,1,1,1] => [4,3,1,1,1,1,1] [4,4,2,2,2,2] => [4,2,2,2,2] [4,4,2,2,2,1,1] => [4,2,2,2,1,1] [4,4,2,2,1,1,1,1] => [4,2,2,1,1,1,1] [4,4,2,1,1,1,1,1,1] => [4,2,1,1,1,1,1,1] [4,4,1,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1,1] [4,3,3,3,3] => [3,3,3,3] [4,3,3,3,2,1] => [3,3,3,2,1] [4,3,3,3,1,1,1] => [3,3,3,1,1,1] [4,3,3,2,2,2] => [3,3,2,2,2] [4,3,3,2,2,1,1] => [3,3,2,2,1,1] [4,3,3,2,1,1,1,1] => [3,3,2,1,1,1,1] [4,3,3,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1] [4,3,2,2,2,2,1] => [3,2,2,2,2,1] [4,3,2,2,2,1,1,1] => [3,2,2,2,1,1,1] [4,3,2,2,1,1,1,1,1] => [3,2,2,1,1,1,1,1] [4,3,2,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1] [4,3,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1] [4,2,2,2,2,2,2] => [2,2,2,2,2,2] [4,2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] [4,2,2,2,2,1,1,1,1] => [2,2,2,2,1,1,1,1] [4,2,2,2,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1] [4,2,2,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] [4,2,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] [4,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1] [3,3,3,3,3,1] => [3,3,3,3,1] [3,3,3,3,2,2] => [3,3,3,2,2] [3,3,3,3,2,1,1] => [3,3,3,2,1,1] [3,3,3,3,1,1,1,1] => [3,3,3,1,1,1,1] [3,3,3,2,2,2,1] => [3,3,2,2,2,1] [3,3,3,2,2,1,1,1] => [3,3,2,2,1,1,1] [3,3,3,2,1,1,1,1,1] => [3,3,2,1,1,1,1,1] [3,3,3,1,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1,1] [3,3,2,2,2,2,2] => [3,2,2,2,2,2] [3,3,2,2,2,2,1,1] => [3,2,2,2,2,1,1] [3,3,2,2,2,1,1,1,1] => [3,2,2,2,1,1,1,1] [3,3,2,2,1,1,1,1,1,1] => [3,2,2,1,1,1,1,1,1] [3,3,2,1,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1,1] [3,3,1,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1,1] [3,2,2,2,2,2,2,1] => [2,2,2,2,2,2,1] [3,2,2,2,2,2,1,1,1] => [2,2,2,2,2,1,1,1] [3,2,2,2,2,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1] [3,2,2,2,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1] [3,2,2,1,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1,1] [3,2,1,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1,1] [3,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1] [2,2,2,2,2,2,2,2] => [2,2,2,2,2,2,2] [2,2,2,2,2,2,2,1,1] => [2,2,2,2,2,2,1,1] [2,2,2,2,2,2,1,1,1,1] => [2,2,2,2,2,1,1,1,1] [2,2,2,2,2,1,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1,1] [2,2,2,2,1,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1,1] [2,2,2,1,1,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1,1,1] [2,2,1,1,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1,1,1] [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] [17] => [] [16,1] => [1] [15,2] => [2] [15,1,1] => [1,1] [14,3] => [3] [14,2,1] => [2,1] [14,1,1,1] => [1,1,1] [13,4] => [4] [13,3,1] => [3,1] [13,2,2] => [2,2] [13,2,1,1] => [2,1,1] [13,1,1,1,1] => [1,1,1,1] [12,5] => [5] [12,4,1] => [4,1] [12,3,2] => [3,2] [12,3,1,1] => [3,1,1] [12,2,2,1] => [2,2,1] [12,2,1,1,1] => [2,1,1,1] [12,1,1,1,1,1] => [1,1,1,1,1] [11,6] => [6] [11,5,1] => [5,1] [11,4,2] => [4,2] [11,4,1,1] => [4,1,1] [11,3,3] => [3,3] [11,3,2,1] => [3,2,1] [11,3,1,1,1] => [3,1,1,1] [11,2,2,2] => [2,2,2] [11,2,2,1,1] => [2,2,1,1] [11,2,1,1,1,1] => [2,1,1,1,1] [11,1,1,1,1,1,1] => [1,1,1,1,1,1] [10,7] => [7] [10,6,1] => [6,1] [10,5,2] => [5,2] [10,5,1,1] => [5,1,1] [10,4,3] => [4,3] [10,4,2,1] => [4,2,1] [10,4,1,1,1] => [4,1,1,1] [10,3,3,1] => [3,3,1] [10,3,2,2] => [3,2,2] [10,3,2,1,1] => [3,2,1,1] [10,3,1,1,1,1] => [3,1,1,1,1] [10,2,2,2,1] => [2,2,2,1] [10,2,2,1,1,1] => [2,2,1,1,1] [10,2,1,1,1,1,1] => [2,1,1,1,1,1] [10,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] [9,8] => [8] [9,7,1] => [7,1] [9,6,2] => [6,2] [9,6,1,1] => [6,1,1] [9,5,3] => [5,3] [9,5,2,1] => [5,2,1] [9,5,1,1,1] => [5,1,1,1] [9,4,4] => [4,4] [9,4,3,1] => [4,3,1] [9,4,2,2] => [4,2,2] [9,4,2,1,1] => [4,2,1,1] [9,4,1,1,1,1] => [4,1,1,1,1] [9,3,3,2] => [3,3,2] [9,3,3,1,1] => [3,3,1,1] [9,3,2,2,1] => [3,2,2,1] [9,3,2,1,1,1] => [3,2,1,1,1] [9,3,1,1,1,1,1] => [3,1,1,1,1,1] [9,2,2,2,2] => [2,2,2,2] [9,2,2,2,1,1] => [2,2,2,1,1] [9,2,2,1,1,1,1] => [2,2,1,1,1,1] [9,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] [9,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] [8,8,1] => [8,1] [8,7,2] => [7,2] [8,7,1,1] => [7,1,1] [8,6,3] => [6,3] [8,6,2,1] => [6,2,1] [8,6,1,1,1] => [6,1,1,1] [8,5,4] => [5,4] [8,5,3,1] => [5,3,1] [8,5,2,2] => [5,2,2] [8,5,2,1,1] => [5,2,1,1] [8,5,1,1,1,1] => [5,1,1,1,1] [8,4,4,1] => [4,4,1] [8,4,3,2] => [4,3,2] [8,4,3,1,1] => [4,3,1,1] [8,4,2,2,1] => [4,2,2,1] [8,4,2,1,1,1] => [4,2,1,1,1] [8,4,1,1,1,1,1] => [4,1,1,1,1,1] [8,3,3,3] => [3,3,3] [8,3,3,2,1] => [3,3,2,1] [8,3,3,1,1,1] => [3,3,1,1,1] [8,3,2,2,2] => [3,2,2,2] [8,3,2,2,1,1] => [3,2,2,1,1] [8,3,2,1,1,1,1] => [3,2,1,1,1,1] [8,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] [8,2,2,2,2,1] => [2,2,2,2,1] [8,2,2,2,1,1,1] => [2,2,2,1,1,1] [8,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] [8,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] [8,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] [7,7,3] => [7,3] [7,7,2,1] => [7,2,1] [7,7,1,1,1] => [7,1,1,1] [7,6,4] => [6,4] [7,6,3,1] => [6,3,1] [7,6,2,2] => [6,2,2] [7,6,2,1,1] => [6,2,1,1] [7,6,1,1,1,1] => [6,1,1,1,1] [7,5,5] => [5,5] [7,5,4,1] => [5,4,1] [7,5,3,2] => [5,3,2] [7,5,3,1,1] => [5,3,1,1] [7,5,2,2,1] => [5,2,2,1] [7,5,2,1,1,1] => [5,2,1,1,1] [7,5,1,1,1,1,1] => [5,1,1,1,1,1] [7,4,4,2] => [4,4,2] [7,4,4,1,1] => [4,4,1,1] [7,4,3,3] => [4,3,3] [7,4,3,2,1] => [4,3,2,1] [7,4,3,1,1,1] => [4,3,1,1,1] [7,4,2,2,2] => [4,2,2,2] [7,4,2,2,1,1] => [4,2,2,1,1] [7,4,2,1,1,1,1] => [4,2,1,1,1,1] [7,4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] [7,3,3,3,1] => [3,3,3,1] [7,3,3,2,2] => [3,3,2,2] [7,3,3,2,1,1] => [3,3,2,1,1] [7,3,3,1,1,1,1] => [3,3,1,1,1,1] [7,3,2,2,2,1] => [3,2,2,2,1] [7,3,2,2,1,1,1] => [3,2,2,1,1,1] [7,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] [7,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] [7,2,2,2,2,2] => [2,2,2,2,2] [7,2,2,2,2,1,1] => [2,2,2,2,1,1] [7,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] [7,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] [7,2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] [7,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] [6,6,5] => [6,5] [6,6,4,1] => [6,4,1] [6,6,3,2] => [6,3,2] [6,6,3,1,1] => [6,3,1,1] [6,6,2,2,1] => [6,2,2,1] [6,6,2,1,1,1] => [6,2,1,1,1] [6,6,1,1,1,1,1] => [6,1,1,1,1,1] [6,5,5,1] => [5,5,1] [6,5,4,2] => [5,4,2] [6,5,4,1,1] => [5,4,1,1] [6,5,3,3] => [5,3,3] [6,5,3,2,1] => [5,3,2,1] [6,5,3,1,1,1] => [5,3,1,1,1] [6,5,2,2,2] => [5,2,2,2] [6,5,2,2,1,1] => [5,2,2,1,1] [6,5,2,1,1,1,1] => [5,2,1,1,1,1] [6,5,1,1,1,1,1,1] => [5,1,1,1,1,1,1] [6,4,4,3] => [4,4,3] [6,4,4,2,1] => [4,4,2,1] [6,4,4,1,1,1] => [4,4,1,1,1] [6,4,3,3,1] => [4,3,3,1] [6,4,3,2,2] => [4,3,2,2] [6,4,3,2,1,1] => [4,3,2,1,1] [6,4,3,1,1,1,1] => [4,3,1,1,1,1] [6,4,2,2,2,1] => [4,2,2,2,1] [6,4,2,2,1,1,1] => [4,2,2,1,1,1] [6,4,2,1,1,1,1,1] => [4,2,1,1,1,1,1] [6,4,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1] [6,3,3,3,2] => [3,3,3,2] [6,3,3,3,1,1] => [3,3,3,1,1] [6,3,3,2,2,1] => [3,3,2,2,1] [6,3,3,2,1,1,1] => [3,3,2,1,1,1] [6,3,3,1,1,1,1,1] => [3,3,1,1,1,1,1] [6,3,2,2,2,2] => [3,2,2,2,2] [6,3,2,2,2,1,1] => [3,2,2,2,1,1] [6,3,2,2,1,1,1,1] => [3,2,2,1,1,1,1] [6,3,2,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1] [6,3,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1] [6,2,2,2,2,2,1] => [2,2,2,2,2,1] [6,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] [6,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] [6,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] [6,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] [6,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] [5,5,5,2] => [5,5,2] [5,5,5,1,1] => [5,5,1,1] [5,5,4,3] => [5,4,3] [5,5,4,2,1] => [5,4,2,1] [5,5,4,1,1,1] => [5,4,1,1,1] [5,5,3,3,1] => [5,3,3,1] [5,5,3,2,2] => [5,3,2,2] [5,5,3,2,1,1] => [5,3,2,1,1] [5,5,3,1,1,1,1] => [5,3,1,1,1,1] [5,5,2,2,2,1] => [5,2,2,2,1] [5,5,2,2,1,1,1] => [5,2,2,1,1,1] [5,5,2,1,1,1,1,1] => [5,2,1,1,1,1,1] [5,5,1,1,1,1,1,1,1] => [5,1,1,1,1,1,1,1] [5,4,4,4] => [4,4,4] [5,4,4,3,1] => [4,4,3,1] [5,4,4,2,2] => [4,4,2,2] [5,4,4,2,1,1] => [4,4,2,1,1] [5,4,4,1,1,1,1] => [4,4,1,1,1,1] [5,4,3,3,2] => [4,3,3,2] [5,4,3,3,1,1] => [4,3,3,1,1] [5,4,3,2,2,1] => [4,3,2,2,1] [5,4,3,2,1,1,1] => [4,3,2,1,1,1] [5,4,3,1,1,1,1,1] => [4,3,1,1,1,1,1] [5,4,2,2,2,2] => [4,2,2,2,2] [5,4,2,2,2,1,1] => [4,2,2,2,1,1] [5,4,2,2,1,1,1,1] => [4,2,2,1,1,1,1] [5,4,2,1,1,1,1,1,1] => [4,2,1,1,1,1,1,1] [5,4,1,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1,1] [5,3,3,3,3] => [3,3,3,3] [5,3,3,3,2,1] => [3,3,3,2,1] [5,3,3,3,1,1,1] => [3,3,3,1,1,1] [5,3,3,2,2,2] => [3,3,2,2,2] [5,3,3,2,2,1,1] => [3,3,2,2,1,1] [5,3,3,2,1,1,1,1] => [3,3,2,1,1,1,1] [5,3,3,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1] [5,3,2,2,2,2,1] => [3,2,2,2,2,1] [5,3,2,2,2,1,1,1] => [3,2,2,2,1,1,1] [5,3,2,2,1,1,1,1,1] => [3,2,2,1,1,1,1,1] [5,3,2,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1] [5,3,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1] [5,2,2,2,2,2,2] => [2,2,2,2,2,2] [5,2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] [5,2,2,2,2,1,1,1,1] => [2,2,2,2,1,1,1,1] [5,2,2,2,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1] [5,2,2,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] [5,2,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] [5,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1] [4,4,4,4,1] => [4,4,4,1] [4,4,4,3,2] => [4,4,3,2] [4,4,4,3,1,1] => [4,4,3,1,1] [4,4,4,2,2,1] => [4,4,2,2,1] [4,4,4,2,1,1,1] => [4,4,2,1,1,1] [4,4,4,1,1,1,1,1] => [4,4,1,1,1,1,1] [4,4,3,3,3] => [4,3,3,3] [4,4,3,3,2,1] => [4,3,3,2,1] [4,4,3,3,1,1,1] => [4,3,3,1,1,1] [4,4,3,2,2,2] => [4,3,2,2,2] [4,4,3,2,2,1,1] => [4,3,2,2,1,1] [4,4,3,2,1,1,1,1] => [4,3,2,1,1,1,1] [4,4,3,1,1,1,1,1,1] => [4,3,1,1,1,1,1,1] [4,4,2,2,2,2,1] => [4,2,2,2,2,1] [4,4,2,2,2,1,1,1] => [4,2,2,2,1,1,1] [4,4,2,2,1,1,1,1,1] => [4,2,2,1,1,1,1,1] [4,4,2,1,1,1,1,1,1,1] => [4,2,1,1,1,1,1,1,1] [4,4,1,1,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1,1,1] [4,3,3,3,3,1] => [3,3,3,3,1] [4,3,3,3,2,2] => [3,3,3,2,2] [4,3,3,3,2,1,1] => [3,3,3,2,1,1] [4,3,3,3,1,1,1,1] => [3,3,3,1,1,1,1] [4,3,3,2,2,2,1] => [3,3,2,2,2,1] [4,3,3,2,2,1,1,1] => [3,3,2,2,1,1,1] [4,3,3,2,1,1,1,1,1] => [3,3,2,1,1,1,1,1] [4,3,3,1,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1,1] [4,3,2,2,2,2,2] => [3,2,2,2,2,2] [4,3,2,2,2,2,1,1] => [3,2,2,2,2,1,1] [4,3,2,2,2,1,1,1,1] => [3,2,2,2,1,1,1,1] [4,3,2,2,1,1,1,1,1,1] => [3,2,2,1,1,1,1,1,1] [4,3,2,1,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1,1] [4,3,1,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1,1] [4,2,2,2,2,2,2,1] => [2,2,2,2,2,2,1] [4,2,2,2,2,2,1,1,1] => [2,2,2,2,2,1,1,1] [4,2,2,2,2,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1] [4,2,2,2,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1] [4,2,2,1,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1,1] [4,2,1,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1,1] [4,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1] [3,3,3,3,3,2] => [3,3,3,3,2] [3,3,3,3,3,1,1] => [3,3,3,3,1,1] [3,3,3,3,2,2,1] => [3,3,3,2,2,1] [3,3,3,3,2,1,1,1] => [3,3,3,2,1,1,1] [3,3,3,3,1,1,1,1,1] => [3,3,3,1,1,1,1,1] [3,3,3,2,2,2,2] => [3,3,2,2,2,2] [3,3,3,2,2,2,1,1] => [3,3,2,2,2,1,1] [3,3,3,2,2,1,1,1,1] => [3,3,2,2,1,1,1,1] [3,3,3,2,1,1,1,1,1,1] => [3,3,2,1,1,1,1,1,1] [3,3,3,1,1,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1,1,1] [3,3,2,2,2,2,2,1] => [3,2,2,2,2,2,1] [3,3,2,2,2,2,1,1,1] => [3,2,2,2,2,1,1,1] [3,3,2,2,2,1,1,1,1,1] => [3,2,2,2,1,1,1,1,1] [3,3,2,2,1,1,1,1,1,1,1] => [3,2,2,1,1,1,1,1,1,1] [3,3,2,1,1,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1,1,1] [3,3,1,1,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1,1,1] [3,2,2,2,2,2,2,2] => [2,2,2,2,2,2,2] [3,2,2,2,2,2,2,1,1] => [2,2,2,2,2,2,1,1] [3,2,2,2,2,2,1,1,1,1] => [2,2,2,2,2,1,1,1,1] [3,2,2,2,2,1,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1,1] [3,2,2,2,1,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1,1] [3,2,2,1,1,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1,1,1] ----------------------------------------------------------------------------- Created: Dec 22, 2020 at 14:01 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Dec 22, 2020 at 15:02 by Christian Stump