************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2013 The FindStatCrew <info@findstat.org> *
* *
* 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