Identifier
Values
[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
[3,1,1,1] => [1,1,1] => [1,1] => [1] => 1
[2,2,1,1] => [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
[4,1,1,1] => [1,1,1] => [1,1] => [1] => 1
[3,2,1,1] => [2,1,1] => [1,1] => [1] => 1
[3,1,1,1,1] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[2,2,2,1] => [2,2,1] => [2,1] => [1] => 1
[2,2,1,1,1] => [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
[5,1,1,1] => [1,1,1] => [1,1] => [1] => 1
[4,2,1,1] => [2,1,1] => [1,1] => [1] => 1
[4,1,1,1,1] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[3,3,1,1] => [3,1,1] => [1,1] => [1] => 1
[3,2,2,1] => [2,2,1] => [2,1] => [1] => 1
[3,2,1,1,1] => [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
[2,2,2,2] => [2,2,2] => [2,2] => [2] => 1
[2,2,2,1,1] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[2,2,1,1,1,1] => [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
[6,1,1,1] => [1,1,1] => [1,1] => [1] => 1
[5,2,1,1] => [2,1,1] => [1,1] => [1] => 1
[5,1,1,1,1] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[4,3,1,1] => [3,1,1] => [1,1] => [1] => 1
[4,2,2,1] => [2,2,1] => [2,1] => [1] => 1
[4,2,1,1,1] => [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
[3,3,2,1] => [3,2,1] => [2,1] => [1] => 1
[3,3,1,1,1] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[3,2,2,2] => [2,2,2] => [2,2] => [2] => 1
[3,2,2,1,1] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[3,2,1,1,1,1] => [2,1,1,1,1] => [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
[2,2,2,2,1] => [2,2,2,1] => [2,2,1] => [2,1] => 1
[2,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[2,2,1,1,1,1,1] => [2,1,1,1,1,1] => [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
[7,1,1,1] => [1,1,1] => [1,1] => [1] => 1
[6,2,1,1] => [2,1,1] => [1,1] => [1] => 1
[6,1,1,1,1] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[5,3,1,1] => [3,1,1] => [1,1] => [1] => 1
[5,2,2,1] => [2,2,1] => [2,1] => [1] => 1
[5,2,1,1,1] => [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
[4,4,1,1] => [4,1,1] => [1,1] => [1] => 1
[4,3,2,1] => [3,2,1] => [2,1] => [1] => 1
[4,3,1,1,1] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[4,2,2,2] => [2,2,2] => [2,2] => [2] => 1
[4,2,2,1,1] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[4,2,1,1,1,1] => [2,1,1,1,1] => [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
[3,3,3,1] => [3,3,1] => [3,1] => [1] => 1
[3,3,2,2] => [3,2,2] => [2,2] => [2] => 1
[3,3,2,1,1] => [3,2,1,1] => [2,1,1] => [1,1] => 1
[3,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[3,2,2,2,1] => [2,2,2,1] => [2,2,1] => [2,1] => 1
[3,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[3,2,1,1,1,1,1] => [2,1,1,1,1,1] => [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] => 1
[2,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[2,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[8,1,1,1] => [1,1,1] => [1,1] => [1] => 1
[7,2,1,1] => [2,1,1] => [1,1] => [1] => 1
[7,1,1,1,1] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[6,3,1,1] => [3,1,1] => [1,1] => [1] => 1
[6,2,2,1] => [2,2,1] => [2,1] => [1] => 1
[6,2,1,1,1] => [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
[5,4,1,1] => [4,1,1] => [1,1] => [1] => 1
[5,3,2,1] => [3,2,1] => [2,1] => [1] => 1
[5,3,1,1,1] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[5,2,2,2] => [2,2,2] => [2,2] => [2] => 1
[5,2,2,1,1] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[5,2,1,1,1,1] => [2,1,1,1,1] => [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
[4,4,2,1] => [4,2,1] => [2,1] => [1] => 1
[4,4,1,1,1] => [4,1,1,1] => [1,1,1] => [1,1] => 1
[4,3,3,1] => [3,3,1] => [3,1] => [1] => 1
[4,3,2,2] => [3,2,2] => [2,2] => [2] => 1
[4,3,2,1,1] => [3,2,1,1] => [2,1,1] => [1,1] => 1
[4,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[4,2,2,2,1] => [2,2,2,1] => [2,2,1] => [2,1] => 1
[4,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[4,2,1,1,1,1,1] => [2,1,1,1,1,1] => [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
[3,3,3,2] => [3,3,2] => [3,2] => [2] => 1
[3,3,3,1,1] => [3,3,1,1] => [3,1,1] => [1,1] => 1
[3,3,2,2,1] => [3,2,2,1] => [2,2,1] => [2,1] => 1
[3,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[3,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
>>> Load all 1267 entries. <<<
[3,2,2,2,2] => [2,2,2,2] => [2,2,2] => [2,2] => 1
[3,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[3,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[3,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[3,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[2,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[2,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[2,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[2,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[9,1,1,1] => [1,1,1] => [1,1] => [1] => 1
[8,2,1,1] => [2,1,1] => [1,1] => [1] => 1
[8,1,1,1,1] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[7,3,1,1] => [3,1,1] => [1,1] => [1] => 1
[7,2,2,1] => [2,2,1] => [2,1] => [1] => 1
[7,2,1,1,1] => [2,1,1,1] => [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
[6,4,1,1] => [4,1,1] => [1,1] => [1] => 1
[6,3,2,1] => [3,2,1] => [2,1] => [1] => 1
[6,3,1,1,1] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[6,2,2,2] => [2,2,2] => [2,2] => [2] => 1
[6,2,2,1,1] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[6,2,1,1,1,1] => [2,1,1,1,1] => [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
[5,5,1,1] => [5,1,1] => [1,1] => [1] => 1
[5,4,2,1] => [4,2,1] => [2,1] => [1] => 1
[5,4,1,1,1] => [4,1,1,1] => [1,1,1] => [1,1] => 1
[5,3,3,1] => [3,3,1] => [3,1] => [1] => 1
[5,3,2,2] => [3,2,2] => [2,2] => [2] => 1
[5,3,2,1,1] => [3,2,1,1] => [2,1,1] => [1,1] => 1
[5,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[5,2,2,2,1] => [2,2,2,1] => [2,2,1] => [2,1] => 1
[5,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[5,2,1,1,1,1,1] => [2,1,1,1,1,1] => [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] => [1,1,1,1,1] => 1
[4,4,3,1] => [4,3,1] => [3,1] => [1] => 1
[4,4,2,2] => [4,2,2] => [2,2] => [2] => 1
[4,4,2,1,1] => [4,2,1,1] => [2,1,1] => [1,1] => 1
[4,4,1,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[4,3,3,2] => [3,3,2] => [3,2] => [2] => 1
[4,3,3,1,1] => [3,3,1,1] => [3,1,1] => [1,1] => 1
[4,3,2,2,1] => [3,2,2,1] => [2,2,1] => [2,1] => 1
[4,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[4,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[4,2,2,2,2] => [2,2,2,2] => [2,2,2] => [2,2] => 1
[4,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[4,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[4,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[4,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[3,3,3,3] => [3,3,3] => [3,3] => [3] => 1
[3,3,3,2,1] => [3,3,2,1] => [3,2,1] => [2,1] => 1
[3,3,3,1,1,1] => [3,3,1,1,1] => [3,1,1,1] => [1,1,1] => 1
[3,3,2,2,2] => [3,2,2,2] => [2,2,2] => [2,2] => 1
[3,3,2,2,1,1] => [3,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[3,3,2,1,1,1,1] => [3,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[3,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[3,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[3,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[3,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[3,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[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] => [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] => 1
[2,2,2,2,2,1,1] => [2,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => 1
[2,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => 1
[2,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[2,2,1,1,1,1,1,1,1,1] => [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
[2,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 1
[10,1,1,1] => [1,1,1] => [1,1] => [1] => 1
[9,2,1,1] => [2,1,1] => [1,1] => [1] => 1
[9,1,1,1,1] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[8,3,1,1] => [3,1,1] => [1,1] => [1] => 1
[8,2,2,1] => [2,2,1] => [2,1] => [1] => 1
[8,2,1,1,1] => [2,1,1,1] => [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
[7,4,1,1] => [4,1,1] => [1,1] => [1] => 1
[7,3,2,1] => [3,2,1] => [2,1] => [1] => 1
[7,3,1,1,1] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[7,2,2,2] => [2,2,2] => [2,2] => [2] => 1
[7,2,2,1,1] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[7,2,1,1,1,1] => [2,1,1,1,1] => [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] => [1,1,1,1] => 1
[6,5,1,1] => [5,1,1] => [1,1] => [1] => 1
[6,4,2,1] => [4,2,1] => [2,1] => [1] => 1
[6,4,1,1,1] => [4,1,1,1] => [1,1,1] => [1,1] => 1
[6,3,3,1] => [3,3,1] => [3,1] => [1] => 1
[6,3,2,2] => [3,2,2] => [2,2] => [2] => 1
[6,3,2,1,1] => [3,2,1,1] => [2,1,1] => [1,1] => 1
[6,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[6,2,2,2,1] => [2,2,2,1] => [2,2,1] => [2,1] => 1
[6,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[6,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => [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] => [1,1,1,1,1] => 1
[5,5,2,1] => [5,2,1] => [2,1] => [1] => 1
[5,5,1,1,1] => [5,1,1,1] => [1,1,1] => [1,1] => 1
[5,4,3,1] => [4,3,1] => [3,1] => [1] => 1
[5,4,2,2] => [4,2,2] => [2,2] => [2] => 1
[5,4,2,1,1] => [4,2,1,1] => [2,1,1] => [1,1] => 1
[5,4,1,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[5,3,3,2] => [3,3,2] => [3,2] => [2] => 1
[5,3,3,1,1] => [3,3,1,1] => [3,1,1] => [1,1] => 1
[5,3,2,2,1] => [3,2,2,1] => [2,2,1] => [2,1] => 1
[5,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[5,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[5,2,2,2,2] => [2,2,2,2] => [2,2,2] => [2,2] => 1
[5,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[5,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[5,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[5,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[4,4,4,1] => [4,4,1] => [4,1] => [1] => 1
[4,4,3,2] => [4,3,2] => [3,2] => [2] => 1
[4,4,3,1,1] => [4,3,1,1] => [3,1,1] => [1,1] => 1
[4,4,2,2,1] => [4,2,2,1] => [2,2,1] => [2,1] => 1
[4,4,2,1,1,1] => [4,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[4,4,1,1,1,1,1] => [4,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[4,3,3,3] => [3,3,3] => [3,3] => [3] => 1
[4,3,3,2,1] => [3,3,2,1] => [3,2,1] => [2,1] => 1
[4,3,3,1,1,1] => [3,3,1,1,1] => [3,1,1,1] => [1,1,1] => 1
[4,3,2,2,2] => [3,2,2,2] => [2,2,2] => [2,2] => 1
[4,3,2,2,1,1] => [3,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[4,3,2,1,1,1,1] => [3,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[4,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[4,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[4,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[4,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[4,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[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] => [1,1,1,1,1,1,1] => 1
[3,3,3,3,1] => [3,3,3,1] => [3,3,1] => [3,1] => 1
[3,3,3,2,2] => [3,3,2,2] => [3,2,2] => [2,2] => 1
[3,3,3,2,1,1] => [3,3,2,1,1] => [3,2,1,1] => [2,1,1] => 1
[3,3,3,1,1,1,1] => [3,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => 1
[3,3,2,2,2,1] => [3,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[3,3,2,2,1,1,1] => [3,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[3,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[3,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[3,2,2,2,2,2] => [2,2,2,2,2] => [2,2,2,2] => [2,2,2] => 1
[3,2,2,2,2,1,1] => [2,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => 1
[3,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => 1
[3,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[3,2,1,1,1,1,1,1,1,1] => [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
[3,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[2,2,2,2,2,2,1] => [2,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => 1
[2,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => 1
[2,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[2,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[2,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[2,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => 1
[11,1,1,1] => [1,1,1] => [1,1] => [1] => 1
[10,2,1,1] => [2,1,1] => [1,1] => [1] => 1
[10,1,1,1,1] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[9,3,1,1] => [3,1,1] => [1,1] => [1] => 1
[9,2,2,1] => [2,2,1] => [2,1] => [1] => 1
[9,2,1,1,1] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[9,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[8,4,1,1] => [4,1,1] => [1,1] => [1] => 1
[8,3,2,1] => [3,2,1] => [2,1] => [1] => 1
[8,3,1,1,1] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[8,2,2,2] => [2,2,2] => [2,2] => [2] => 1
[8,2,2,1,1] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[8,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[8,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[7,5,1,1] => [5,1,1] => [1,1] => [1] => 1
[7,4,2,1] => [4,2,1] => [2,1] => [1] => 1
[7,4,1,1,1] => [4,1,1,1] => [1,1,1] => [1,1] => 1
[7,3,3,1] => [3,3,1] => [3,1] => [1] => 1
[7,3,2,2] => [3,2,2] => [2,2] => [2] => 1
[7,3,2,1,1] => [3,2,1,1] => [2,1,1] => [1,1] => 1
[7,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[7,2,2,2,1] => [2,2,2,1] => [2,2,1] => [2,1] => 1
[7,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[7,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => [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] => [1,1,1,1,1] => 1
[6,6,1,1] => [6,1,1] => [1,1] => [1] => 1
[6,5,2,1] => [5,2,1] => [2,1] => [1] => 1
[6,5,1,1,1] => [5,1,1,1] => [1,1,1] => [1,1] => 1
[6,4,3,1] => [4,3,1] => [3,1] => [1] => 1
[6,4,2,2] => [4,2,2] => [2,2] => [2] => 1
[6,4,2,1,1] => [4,2,1,1] => [2,1,1] => [1,1] => 1
[6,4,1,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[6,3,3,2] => [3,3,2] => [3,2] => [2] => 1
[6,3,3,1,1] => [3,3,1,1] => [3,1,1] => [1,1] => 1
[6,3,2,2,1] => [3,2,2,1] => [2,2,1] => [2,1] => 1
[6,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[6,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[6,2,2,2,2] => [2,2,2,2] => [2,2,2] => [2,2] => 1
[6,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[6,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[6,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[6,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[5,5,3,1] => [5,3,1] => [3,1] => [1] => 1
[5,5,2,2] => [5,2,2] => [2,2] => [2] => 1
[5,5,2,1,1] => [5,2,1,1] => [2,1,1] => [1,1] => 1
[5,5,1,1,1,1] => [5,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[5,4,4,1] => [4,4,1] => [4,1] => [1] => 1
[5,4,3,2] => [4,3,2] => [3,2] => [2] => 1
[5,4,3,1,1] => [4,3,1,1] => [3,1,1] => [1,1] => 1
[5,4,2,2,1] => [4,2,2,1] => [2,2,1] => [2,1] => 1
[5,4,2,1,1,1] => [4,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[5,4,1,1,1,1,1] => [4,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[5,3,3,3] => [3,3,3] => [3,3] => [3] => 1
[5,3,3,2,1] => [3,3,2,1] => [3,2,1] => [2,1] => 1
[5,3,3,1,1,1] => [3,3,1,1,1] => [3,1,1,1] => [1,1,1] => 1
[5,3,2,2,2] => [3,2,2,2] => [2,2,2] => [2,2] => 1
[5,3,2,2,1,1] => [3,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[5,3,2,1,1,1,1] => [3,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[5,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[5,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[5,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[5,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[5,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[5,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[4,4,4,2] => [4,4,2] => [4,2] => [2] => 1
[4,4,4,1,1] => [4,4,1,1] => [4,1,1] => [1,1] => 1
[4,4,3,3] => [4,3,3] => [3,3] => [3] => 1
[4,4,3,2,1] => [4,3,2,1] => [3,2,1] => [2,1] => 1
[4,4,3,1,1,1] => [4,3,1,1,1] => [3,1,1,1] => [1,1,1] => 1
[4,4,2,2,2] => [4,2,2,2] => [2,2,2] => [2,2] => 1
[4,4,2,2,1,1] => [4,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[4,4,2,1,1,1,1] => [4,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[4,4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[4,3,3,3,1] => [3,3,3,1] => [3,3,1] => [3,1] => 1
[4,3,3,2,2] => [3,3,2,2] => [3,2,2] => [2,2] => 1
[4,3,3,2,1,1] => [3,3,2,1,1] => [3,2,1,1] => [2,1,1] => 1
[4,3,3,1,1,1,1] => [3,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => 1
[4,3,2,2,2,1] => [3,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[4,3,2,2,1,1,1] => [3,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[4,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[4,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[4,2,2,2,2,2] => [2,2,2,2,2] => [2,2,2,2] => [2,2,2] => 1
[4,2,2,2,2,1,1] => [2,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => 1
[4,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => 1
[4,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[4,2,1,1,1,1,1,1,1,1] => [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
[4,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[3,3,3,3,2] => [3,3,3,2] => [3,3,2] => [3,2] => 1
[3,3,3,3,1,1] => [3,3,3,1,1] => [3,3,1,1] => [3,1,1] => 1
[3,3,3,2,2,1] => [3,3,2,2,1] => [3,2,2,1] => [2,2,1] => 1
[3,3,3,2,1,1,1] => [3,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => 1
[3,3,3,1,1,1,1,1] => [3,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[3,3,2,2,2,2] => [3,2,2,2,2] => [2,2,2,2] => [2,2,2] => 1
[3,3,2,2,2,1,1] => [3,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => 1
[3,3,2,2,1,1,1,1] => [3,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => 1
[3,3,2,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[3,3,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[3,2,2,2,2,2,1] => [2,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => 1
[3,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => 1
[3,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[3,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[3,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[3,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] => [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
[2,2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] => [2,2,2,2,1,1] => [2,2,2,1,1] => 1
[2,2,2,2,2,1,1,1,1] => [2,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[2,2,2,2,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 1
[2,2,2,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[2,2,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 1
[2,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] => 1
[12,1,1,1] => [1,1,1] => [1,1] => [1] => 1
[11,2,1,1] => [2,1,1] => [1,1] => [1] => 1
[11,1,1,1,1] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[10,3,1,1] => [3,1,1] => [1,1] => [1] => 1
[10,2,2,1] => [2,2,1] => [2,1] => [1] => 1
[10,2,1,1,1] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[10,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[9,4,1,1] => [4,1,1] => [1,1] => [1] => 1
[9,3,2,1] => [3,2,1] => [2,1] => [1] => 1
[9,3,1,1,1] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[9,2,2,2] => [2,2,2] => [2,2] => [2] => 1
[9,2,2,1,1] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[9,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[9,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[8,5,1,1] => [5,1,1] => [1,1] => [1] => 1
[8,4,2,1] => [4,2,1] => [2,1] => [1] => 1
[8,4,1,1,1] => [4,1,1,1] => [1,1,1] => [1,1] => 1
[8,3,3,1] => [3,3,1] => [3,1] => [1] => 1
[8,3,2,2] => [3,2,2] => [2,2] => [2] => 1
[8,3,2,1,1] => [3,2,1,1] => [2,1,1] => [1,1] => 1
[8,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[8,2,2,2,1] => [2,2,2,1] => [2,2,1] => [2,1] => 1
[8,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[8,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[8,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[7,6,1,1] => [6,1,1] => [1,1] => [1] => 1
[7,5,2,1] => [5,2,1] => [2,1] => [1] => 1
[7,5,1,1,1] => [5,1,1,1] => [1,1,1] => [1,1] => 1
[7,4,3,1] => [4,3,1] => [3,1] => [1] => 1
[7,4,2,2] => [4,2,2] => [2,2] => [2] => 1
[7,4,2,1,1] => [4,2,1,1] => [2,1,1] => [1,1] => 1
[7,4,1,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[7,3,3,2] => [3,3,2] => [3,2] => [2] => 1
[7,3,3,1,1] => [3,3,1,1] => [3,1,1] => [1,1] => 1
[7,3,2,2,1] => [3,2,2,1] => [2,2,1] => [2,1] => 1
[7,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[7,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[7,2,2,2,2] => [2,2,2,2] => [2,2,2] => [2,2] => 1
[7,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[7,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[7,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[7,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[6,6,2,1] => [6,2,1] => [2,1] => [1] => 1
[6,6,1,1,1] => [6,1,1,1] => [1,1,1] => [1,1] => 1
[6,5,3,1] => [5,3,1] => [3,1] => [1] => 1
[6,5,2,2] => [5,2,2] => [2,2] => [2] => 1
[6,5,2,1,1] => [5,2,1,1] => [2,1,1] => [1,1] => 1
[6,5,1,1,1,1] => [5,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[6,4,4,1] => [4,4,1] => [4,1] => [1] => 1
[6,4,3,2] => [4,3,2] => [3,2] => [2] => 1
[6,4,3,1,1] => [4,3,1,1] => [3,1,1] => [1,1] => 1
[6,4,2,2,1] => [4,2,2,1] => [2,2,1] => [2,1] => 1
[6,4,2,1,1,1] => [4,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[6,4,1,1,1,1,1] => [4,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[6,3,3,3] => [3,3,3] => [3,3] => [3] => 1
[6,3,3,2,1] => [3,3,2,1] => [3,2,1] => [2,1] => 1
[6,3,3,1,1,1] => [3,3,1,1,1] => [3,1,1,1] => [1,1,1] => 1
[6,3,2,2,2] => [3,2,2,2] => [2,2,2] => [2,2] => 1
[6,3,2,2,1,1] => [3,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[6,3,2,1,1,1,1] => [3,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[6,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[6,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[6,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[6,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[6,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[6,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[5,5,4,1] => [5,4,1] => [4,1] => [1] => 1
[5,5,3,2] => [5,3,2] => [3,2] => [2] => 1
[5,5,3,1,1] => [5,3,1,1] => [3,1,1] => [1,1] => 1
[5,5,2,2,1] => [5,2,2,1] => [2,2,1] => [2,1] => 1
[5,5,2,1,1,1] => [5,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[5,5,1,1,1,1,1] => [5,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[5,4,4,2] => [4,4,2] => [4,2] => [2] => 1
[5,4,4,1,1] => [4,4,1,1] => [4,1,1] => [1,1] => 1
[5,4,3,3] => [4,3,3] => [3,3] => [3] => 1
[5,4,3,2,1] => [4,3,2,1] => [3,2,1] => [2,1] => 1
[5,4,3,1,1,1] => [4,3,1,1,1] => [3,1,1,1] => [1,1,1] => 1
[5,4,2,2,2] => [4,2,2,2] => [2,2,2] => [2,2] => 1
[5,4,2,2,1,1] => [4,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[5,4,2,1,1,1,1] => [4,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[5,4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[5,3,3,3,1] => [3,3,3,1] => [3,3,1] => [3,1] => 1
[5,3,3,2,2] => [3,3,2,2] => [3,2,2] => [2,2] => 1
[5,3,3,2,1,1] => [3,3,2,1,1] => [3,2,1,1] => [2,1,1] => 1
[5,3,3,1,1,1,1] => [3,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => 1
[5,3,2,2,2,1] => [3,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[5,3,2,2,1,1,1] => [3,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[5,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[5,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[5,2,2,2,2,2] => [2,2,2,2,2] => [2,2,2,2] => [2,2,2] => 1
[5,2,2,2,2,1,1] => [2,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => 1
[5,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => 1
[5,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[5,2,1,1,1,1,1,1,1,1] => [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
[5,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[4,4,4,3] => [4,4,3] => [4,3] => [3] => 1
[4,4,4,2,1] => [4,4,2,1] => [4,2,1] => [2,1] => 1
[4,4,4,1,1,1] => [4,4,1,1,1] => [4,1,1,1] => [1,1,1] => 1
[4,4,3,3,1] => [4,3,3,1] => [3,3,1] => [3,1] => 1
[4,4,3,2,2] => [4,3,2,2] => [3,2,2] => [2,2] => 1
[4,4,3,2,1,1] => [4,3,2,1,1] => [3,2,1,1] => [2,1,1] => 1
[4,4,3,1,1,1,1] => [4,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => 1
[4,4,2,2,2,1] => [4,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[4,4,2,2,1,1,1] => [4,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[4,4,2,1,1,1,1,1] => [4,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[4,4,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[4,3,3,3,2] => [3,3,3,2] => [3,3,2] => [3,2] => 1
[4,3,3,3,1,1] => [3,3,3,1,1] => [3,3,1,1] => [3,1,1] => 1
[4,3,3,2,2,1] => [3,3,2,2,1] => [3,2,2,1] => [2,2,1] => 1
[4,3,3,2,1,1,1] => [3,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => 1
[4,3,3,1,1,1,1,1] => [3,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[4,3,2,2,2,2] => [3,2,2,2,2] => [2,2,2,2] => [2,2,2] => 1
[4,3,2,2,2,1,1] => [3,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => 1
[4,3,2,2,1,1,1,1] => [3,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => 1
[4,3,2,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[4,3,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[4,2,2,2,2,2,1] => [2,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => 1
[4,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => 1
[4,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[4,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[4,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[4,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] => [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] => [3,3,3,3] => [3,3,3] => [3,3] => 1
[3,3,3,3,2,1] => [3,3,3,2,1] => [3,3,2,1] => [3,2,1] => 3
[3,3,3,3,1,1,1] => [3,3,3,1,1,1] => [3,3,1,1,1] => [3,1,1,1] => 1
[3,3,3,2,2,2] => [3,3,2,2,2] => [3,2,2,2] => [2,2,2] => 1
[3,3,3,2,2,1,1] => [3,3,2,2,1,1] => [3,2,2,1,1] => [2,2,1,1] => 1
[3,3,3,2,1,1,1,1] => [3,3,2,1,1,1,1] => [3,2,1,1,1,1] => [2,1,1,1,1] => 1
[3,3,3,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[3,3,2,2,2,2,1] => [3,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => 1
[3,3,2,2,2,1,1,1] => [3,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => 1
[3,3,2,2,1,1,1,1,1] => [3,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[3,3,2,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[3,3,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[3,2,2,2,2,2,2] => [2,2,2,2,2,2] => [2,2,2,2,2] => [2,2,2,2] => 1
[3,2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] => [2,2,2,2,1,1] => [2,2,2,1,1] => 1
[3,2,2,2,2,1,1,1,1] => [2,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[3,2,2,2,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 1
[3,2,2,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[3,2,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 1
[3,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1] => [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] => [2,2,2,2,2,1] => [2,2,2,2,1] => 1
[2,2,2,2,2,2,1,1,1] => [2,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] => [2,2,2,1,1,1] => 1
[2,2,2,2,2,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 1
[2,2,2,2,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 1
[2,2,2,1,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 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] => [1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => 1
[2,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1] => 1
[13,1,1,1] => [1,1,1] => [1,1] => [1] => 1
[12,2,1,1] => [2,1,1] => [1,1] => [1] => 1
[12,1,1,1,1] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[11,3,1,1] => [3,1,1] => [1,1] => [1] => 1
[11,2,2,1] => [2,2,1] => [2,1] => [1] => 1
[11,2,1,1,1] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[11,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[10,4,1,1] => [4,1,1] => [1,1] => [1] => 1
[10,3,2,1] => [3,2,1] => [2,1] => [1] => 1
[10,3,1,1,1] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[10,2,2,2] => [2,2,2] => [2,2] => [2] => 1
[10,2,2,1,1] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[10,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[10,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[9,5,1,1] => [5,1,1] => [1,1] => [1] => 1
[9,4,2,1] => [4,2,1] => [2,1] => [1] => 1
[9,4,1,1,1] => [4,1,1,1] => [1,1,1] => [1,1] => 1
[9,3,3,1] => [3,3,1] => [3,1] => [1] => 1
[9,3,2,2] => [3,2,2] => [2,2] => [2] => 1
[9,3,2,1,1] => [3,2,1,1] => [2,1,1] => [1,1] => 1
[9,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[9,2,2,2,1] => [2,2,2,1] => [2,2,1] => [2,1] => 1
[9,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[9,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[9,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[8,6,1,1] => [6,1,1] => [1,1] => [1] => 1
[8,5,2,1] => [5,2,1] => [2,1] => [1] => 1
[8,5,1,1,1] => [5,1,1,1] => [1,1,1] => [1,1] => 1
[8,4,3,1] => [4,3,1] => [3,1] => [1] => 1
[8,4,2,2] => [4,2,2] => [2,2] => [2] => 1
[8,4,2,1,1] => [4,2,1,1] => [2,1,1] => [1,1] => 1
[8,4,1,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[8,3,3,2] => [3,3,2] => [3,2] => [2] => 1
[8,3,3,1,1] => [3,3,1,1] => [3,1,1] => [1,1] => 1
[8,3,2,2,1] => [3,2,2,1] => [2,2,1] => [2,1] => 1
[8,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[8,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[8,2,2,2,2] => [2,2,2,2] => [2,2,2] => [2,2] => 1
[8,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[8,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[8,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[8,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[7,7,1,1] => [7,1,1] => [1,1] => [1] => 1
[7,6,2,1] => [6,2,1] => [2,1] => [1] => 1
[7,6,1,1,1] => [6,1,1,1] => [1,1,1] => [1,1] => 1
[7,5,3,1] => [5,3,1] => [3,1] => [1] => 1
[7,5,2,2] => [5,2,2] => [2,2] => [2] => 1
[7,5,2,1,1] => [5,2,1,1] => [2,1,1] => [1,1] => 1
[7,5,1,1,1,1] => [5,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[7,4,4,1] => [4,4,1] => [4,1] => [1] => 1
[7,4,3,2] => [4,3,2] => [3,2] => [2] => 1
[7,4,3,1,1] => [4,3,1,1] => [3,1,1] => [1,1] => 1
[7,4,2,2,1] => [4,2,2,1] => [2,2,1] => [2,1] => 1
[7,4,2,1,1,1] => [4,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[7,4,1,1,1,1,1] => [4,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[7,3,3,3] => [3,3,3] => [3,3] => [3] => 1
[7,3,3,2,1] => [3,3,2,1] => [3,2,1] => [2,1] => 1
[7,3,3,1,1,1] => [3,3,1,1,1] => [3,1,1,1] => [1,1,1] => 1
[7,3,2,2,2] => [3,2,2,2] => [2,2,2] => [2,2] => 1
[7,3,2,2,1,1] => [3,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[7,3,2,1,1,1,1] => [3,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[7,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[7,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[7,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[7,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[7,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[7,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[6,6,3,1] => [6,3,1] => [3,1] => [1] => 1
[6,6,2,2] => [6,2,2] => [2,2] => [2] => 1
[6,6,2,1,1] => [6,2,1,1] => [2,1,1] => [1,1] => 1
[6,6,1,1,1,1] => [6,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[6,5,4,1] => [5,4,1] => [4,1] => [1] => 1
[6,5,3,2] => [5,3,2] => [3,2] => [2] => 1
[6,5,3,1,1] => [5,3,1,1] => [3,1,1] => [1,1] => 1
[6,5,2,2,1] => [5,2,2,1] => [2,2,1] => [2,1] => 1
[6,5,2,1,1,1] => [5,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[6,5,1,1,1,1,1] => [5,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[6,4,4,2] => [4,4,2] => [4,2] => [2] => 1
[6,4,4,1,1] => [4,4,1,1] => [4,1,1] => [1,1] => 1
[6,4,3,3] => [4,3,3] => [3,3] => [3] => 1
[6,4,3,2,1] => [4,3,2,1] => [3,2,1] => [2,1] => 1
[6,4,3,1,1,1] => [4,3,1,1,1] => [3,1,1,1] => [1,1,1] => 1
[6,4,2,2,2] => [4,2,2,2] => [2,2,2] => [2,2] => 1
[6,4,2,2,1,1] => [4,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[6,4,2,1,1,1,1] => [4,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[6,4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[6,3,3,3,1] => [3,3,3,1] => [3,3,1] => [3,1] => 1
[6,3,3,2,2] => [3,3,2,2] => [3,2,2] => [2,2] => 1
[6,3,3,2,1,1] => [3,3,2,1,1] => [3,2,1,1] => [2,1,1] => 1
[6,3,3,1,1,1,1] => [3,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => 1
[6,3,2,2,2,1] => [3,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[6,3,2,2,1,1,1] => [3,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[6,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[6,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[6,2,2,2,2,2] => [2,2,2,2,2] => [2,2,2,2] => [2,2,2] => 1
[6,2,2,2,2,1,1] => [2,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => 1
[6,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => 1
[6,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[6,2,1,1,1,1,1,1,1,1] => [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
[6,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[5,5,5,1] => [5,5,1] => [5,1] => [1] => 1
[5,5,4,2] => [5,4,2] => [4,2] => [2] => 1
[5,5,4,1,1] => [5,4,1,1] => [4,1,1] => [1,1] => 1
[5,5,3,3] => [5,3,3] => [3,3] => [3] => 1
[5,5,3,2,1] => [5,3,2,1] => [3,2,1] => [2,1] => 1
[5,5,3,1,1,1] => [5,3,1,1,1] => [3,1,1,1] => [1,1,1] => 1
[5,5,2,2,2] => [5,2,2,2] => [2,2,2] => [2,2] => 1
[5,5,2,2,1,1] => [5,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[5,5,2,1,1,1,1] => [5,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[5,5,1,1,1,1,1,1] => [5,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[5,4,4,3] => [4,4,3] => [4,3] => [3] => 1
[5,4,4,2,1] => [4,4,2,1] => [4,2,1] => [2,1] => 1
[5,4,4,1,1,1] => [4,4,1,1,1] => [4,1,1,1] => [1,1,1] => 1
[5,4,3,3,1] => [4,3,3,1] => [3,3,1] => [3,1] => 1
[5,4,3,2,2] => [4,3,2,2] => [3,2,2] => [2,2] => 1
[5,4,3,2,1,1] => [4,3,2,1,1] => [3,2,1,1] => [2,1,1] => 1
[5,4,3,1,1,1,1] => [4,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => 1
[5,4,2,2,2,1] => [4,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[5,4,2,2,1,1,1] => [4,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[5,4,2,1,1,1,1,1] => [4,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[5,4,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[5,3,3,3,2] => [3,3,3,2] => [3,3,2] => [3,2] => 1
[5,3,3,3,1,1] => [3,3,3,1,1] => [3,3,1,1] => [3,1,1] => 1
[5,3,3,2,2,1] => [3,3,2,2,1] => [3,2,2,1] => [2,2,1] => 1
[5,3,3,2,1,1,1] => [3,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => 1
[5,3,3,1,1,1,1,1] => [3,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[5,3,2,2,2,2] => [3,2,2,2,2] => [2,2,2,2] => [2,2,2] => 1
[5,3,2,2,2,1,1] => [3,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => 1
[5,3,2,2,1,1,1,1] => [3,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => 1
[5,3,2,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[5,3,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[5,2,2,2,2,2,1] => [2,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => 1
[5,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => 1
[5,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[5,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[5,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [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] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 1
[4,4,4,4] => [4,4,4] => [4,4] => [4] => 1
[4,4,4,3,1] => [4,4,3,1] => [4,3,1] => [3,1] => 1
[4,4,4,2,2] => [4,4,2,2] => [4,2,2] => [2,2] => 1
[4,4,4,2,1,1] => [4,4,2,1,1] => [4,2,1,1] => [2,1,1] => 1
[4,4,4,1,1,1,1] => [4,4,1,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => 1
[4,4,3,3,2] => [4,3,3,2] => [3,3,2] => [3,2] => 1
[4,4,3,3,1,1] => [4,3,3,1,1] => [3,3,1,1] => [3,1,1] => 1
[4,4,3,2,2,1] => [4,3,2,2,1] => [3,2,2,1] => [2,2,1] => 1
[4,4,3,2,1,1,1] => [4,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => 1
[4,4,3,1,1,1,1,1] => [4,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[4,4,2,2,2,2] => [4,2,2,2,2] => [2,2,2,2] => [2,2,2] => 1
[4,4,2,2,2,1,1] => [4,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => 1
[4,4,2,2,1,1,1,1] => [4,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => 1
[4,4,2,1,1,1,1,1,1] => [4,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[4,4,1,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[4,3,3,3,3] => [3,3,3,3] => [3,3,3] => [3,3] => 1
[4,3,3,3,2,1] => [3,3,3,2,1] => [3,3,2,1] => [3,2,1] => 3
[4,3,3,3,1,1,1] => [3,3,3,1,1,1] => [3,3,1,1,1] => [3,1,1,1] => 1
[4,3,3,2,2,2] => [3,3,2,2,2] => [3,2,2,2] => [2,2,2] => 1
[4,3,3,2,2,1,1] => [3,3,2,2,1,1] => [3,2,2,1,1] => [2,2,1,1] => 1
[4,3,3,2,1,1,1,1] => [3,3,2,1,1,1,1] => [3,2,1,1,1,1] => [2,1,1,1,1] => 1
[4,3,3,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[4,3,2,2,2,2,1] => [3,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => 1
[4,3,2,2,2,1,1,1] => [3,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => 1
[4,3,2,2,1,1,1,1,1] => [3,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[4,3,2,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[4,3,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[4,2,2,2,2,2,2] => [2,2,2,2,2,2] => [2,2,2,2,2] => [2,2,2,2] => 1
[4,2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] => [2,2,2,2,1,1] => [2,2,2,1,1] => 1
[4,2,2,2,2,1,1,1,1] => [2,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[4,2,2,2,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 1
[4,2,2,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[4,2,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 1
[4,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1] => [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] => [3,3,3,1] => [3,3,1] => 2
[3,3,3,3,2,2] => [3,3,3,2,2] => [3,3,2,2] => [3,2,2] => 2
[3,3,3,3,2,1,1] => [3,3,3,2,1,1] => [3,3,2,1,1] => [3,2,1,1] => 3
[3,3,3,3,1,1,1,1] => [3,3,3,1,1,1,1] => [3,3,1,1,1,1] => [3,1,1,1,1] => 1
[3,3,3,2,2,2,1] => [3,3,2,2,2,1] => [3,2,2,2,1] => [2,2,2,1] => 1
[3,3,3,2,2,1,1,1] => [3,3,2,2,1,1,1] => [3,2,2,1,1,1] => [2,2,1,1,1] => 1
[3,3,3,2,1,1,1,1,1] => [3,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[3,3,3,1,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[3,3,2,2,2,2,2] => [3,2,2,2,2,2] => [2,2,2,2,2] => [2,2,2,2] => 1
[3,3,2,2,2,2,1,1] => [3,2,2,2,2,1,1] => [2,2,2,2,1,1] => [2,2,2,1,1] => 1
[3,3,2,2,2,1,1,1,1] => [3,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[3,3,2,2,1,1,1,1,1,1] => [3,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 1
[3,3,2,1,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[3,3,1,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [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] => [2,2,2,2,2,1] => [2,2,2,2,1] => 1
[3,2,2,2,2,2,1,1,1] => [2,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] => [2,2,2,1,1,1] => 1
[3,2,2,2,2,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 1
[3,2,2,2,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 1
[3,2,2,1,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 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] => [1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => 1
[3,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1] => [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] => [2,2,2,2,2] => 1
[2,2,2,2,2,2,2,1,1] => [2,2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] => [2,2,2,2,1,1] => 1
[2,2,2,2,2,2,1,1,1,1] => [2,2,2,2,2,1,1,1,1] => [2,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => 1
[2,2,2,2,2,1,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 1
[2,2,2,2,1,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 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] => [2,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => 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] => [1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] => 1
[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1] => 1
[14,1,1,1] => [1,1,1] => [1,1] => [1] => 1
[13,2,1,1] => [2,1,1] => [1,1] => [1] => 1
[13,1,1,1,1] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[12,3,1,1] => [3,1,1] => [1,1] => [1] => 1
[12,2,2,1] => [2,2,1] => [2,1] => [1] => 1
[12,2,1,1,1] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[12,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[11,4,1,1] => [4,1,1] => [1,1] => [1] => 1
[11,3,2,1] => [3,2,1] => [2,1] => [1] => 1
[11,3,1,1,1] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[11,2,2,2] => [2,2,2] => [2,2] => [2] => 1
[11,2,2,1,1] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[11,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[11,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[10,5,1,1] => [5,1,1] => [1,1] => [1] => 1
[10,4,2,1] => [4,2,1] => [2,1] => [1] => 1
[10,4,1,1,1] => [4,1,1,1] => [1,1,1] => [1,1] => 1
[10,3,3,1] => [3,3,1] => [3,1] => [1] => 1
[10,3,2,2] => [3,2,2] => [2,2] => [2] => 1
[10,3,2,1,1] => [3,2,1,1] => [2,1,1] => [1,1] => 1
[10,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[10,2,2,2,1] => [2,2,2,1] => [2,2,1] => [2,1] => 1
[10,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[10,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[10,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[9,6,1,1] => [6,1,1] => [1,1] => [1] => 1
[9,5,2,1] => [5,2,1] => [2,1] => [1] => 1
[9,5,1,1,1] => [5,1,1,1] => [1,1,1] => [1,1] => 1
[9,4,3,1] => [4,3,1] => [3,1] => [1] => 1
[9,4,2,2] => [4,2,2] => [2,2] => [2] => 1
[9,4,2,1,1] => [4,2,1,1] => [2,1,1] => [1,1] => 1
[9,4,1,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[9,3,3,2] => [3,3,2] => [3,2] => [2] => 1
[9,3,3,1,1] => [3,3,1,1] => [3,1,1] => [1,1] => 1
[9,3,2,2,1] => [3,2,2,1] => [2,2,1] => [2,1] => 1
[9,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[9,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[9,2,2,2,2] => [2,2,2,2] => [2,2,2] => [2,2] => 1
[9,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[9,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[9,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[9,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[8,7,1,1] => [7,1,1] => [1,1] => [1] => 1
[8,6,2,1] => [6,2,1] => [2,1] => [1] => 1
[8,6,1,1,1] => [6,1,1,1] => [1,1,1] => [1,1] => 1
[8,5,3,1] => [5,3,1] => [3,1] => [1] => 1
[8,5,2,2] => [5,2,2] => [2,2] => [2] => 1
[8,5,2,1,1] => [5,2,1,1] => [2,1,1] => [1,1] => 1
[8,5,1,1,1,1] => [5,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[8,4,4,1] => [4,4,1] => [4,1] => [1] => 1
[8,4,3,2] => [4,3,2] => [3,2] => [2] => 1
[8,4,3,1,1] => [4,3,1,1] => [3,1,1] => [1,1] => 1
[8,4,2,2,1] => [4,2,2,1] => [2,2,1] => [2,1] => 1
[8,4,2,1,1,1] => [4,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[8,4,1,1,1,1,1] => [4,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[8,3,3,3] => [3,3,3] => [3,3] => [3] => 1
[8,3,3,2,1] => [3,3,2,1] => [3,2,1] => [2,1] => 1
[8,3,3,1,1,1] => [3,3,1,1,1] => [3,1,1,1] => [1,1,1] => 1
[8,3,2,2,2] => [3,2,2,2] => [2,2,2] => [2,2] => 1
[8,3,2,2,1,1] => [3,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[8,3,2,1,1,1,1] => [3,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[8,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[8,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[8,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[8,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[8,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[8,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[7,7,2,1] => [7,2,1] => [2,1] => [1] => 1
[7,7,1,1,1] => [7,1,1,1] => [1,1,1] => [1,1] => 1
[7,6,3,1] => [6,3,1] => [3,1] => [1] => 1
[7,6,2,2] => [6,2,2] => [2,2] => [2] => 1
[7,6,2,1,1] => [6,2,1,1] => [2,1,1] => [1,1] => 1
[7,6,1,1,1,1] => [6,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[7,5,4,1] => [5,4,1] => [4,1] => [1] => 1
[7,5,3,2] => [5,3,2] => [3,2] => [2] => 1
[7,5,3,1,1] => [5,3,1,1] => [3,1,1] => [1,1] => 1
[7,5,2,2,1] => [5,2,2,1] => [2,2,1] => [2,1] => 1
[7,5,2,1,1,1] => [5,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[7,5,1,1,1,1,1] => [5,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[7,4,4,2] => [4,4,2] => [4,2] => [2] => 1
[7,4,4,1,1] => [4,4,1,1] => [4,1,1] => [1,1] => 1
[7,4,3,3] => [4,3,3] => [3,3] => [3] => 1
[7,4,3,2,1] => [4,3,2,1] => [3,2,1] => [2,1] => 1
[7,4,3,1,1,1] => [4,3,1,1,1] => [3,1,1,1] => [1,1,1] => 1
[7,4,2,2,2] => [4,2,2,2] => [2,2,2] => [2,2] => 1
[7,4,2,2,1,1] => [4,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[7,4,2,1,1,1,1] => [4,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[7,4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[7,3,3,3,1] => [3,3,3,1] => [3,3,1] => [3,1] => 1
[7,3,3,2,2] => [3,3,2,2] => [3,2,2] => [2,2] => 1
[7,3,3,2,1,1] => [3,3,2,1,1] => [3,2,1,1] => [2,1,1] => 1
[7,3,3,1,1,1,1] => [3,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => 1
[7,3,2,2,2,1] => [3,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[7,3,2,2,1,1,1] => [3,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[7,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[7,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[7,2,2,2,2,2] => [2,2,2,2,2] => [2,2,2,2] => [2,2,2] => 1
[7,2,2,2,2,1,1] => [2,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => 1
[7,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => 1
[7,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[7,2,1,1,1,1,1,1,1,1] => [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
[7,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[6,6,4,1] => [6,4,1] => [4,1] => [1] => 1
[6,6,3,2] => [6,3,2] => [3,2] => [2] => 1
[6,6,3,1,1] => [6,3,1,1] => [3,1,1] => [1,1] => 1
[6,6,2,2,1] => [6,2,2,1] => [2,2,1] => [2,1] => 1
[6,6,2,1,1,1] => [6,2,1,1,1] => [2,1,1,1] => [1,1,1] => 1
[6,6,1,1,1,1,1] => [6,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[6,5,5,1] => [5,5,1] => [5,1] => [1] => 1
[6,5,4,2] => [5,4,2] => [4,2] => [2] => 1
[6,5,4,1,1] => [5,4,1,1] => [4,1,1] => [1,1] => 1
[6,5,3,3] => [5,3,3] => [3,3] => [3] => 1
[6,5,3,2,1] => [5,3,2,1] => [3,2,1] => [2,1] => 1
[6,5,3,1,1,1] => [5,3,1,1,1] => [3,1,1,1] => [1,1,1] => 1
[6,5,2,2,2] => [5,2,2,2] => [2,2,2] => [2,2] => 1
[6,5,2,2,1,1] => [5,2,2,1,1] => [2,2,1,1] => [2,1,1] => 1
[6,5,2,1,1,1,1] => [5,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[6,5,1,1,1,1,1,1] => [5,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[6,4,4,3] => [4,4,3] => [4,3] => [3] => 1
[6,4,4,2,1] => [4,4,2,1] => [4,2,1] => [2,1] => 1
[6,4,4,1,1,1] => [4,4,1,1,1] => [4,1,1,1] => [1,1,1] => 1
[6,4,3,3,1] => [4,3,3,1] => [3,3,1] => [3,1] => 1
[6,4,3,2,2] => [4,3,2,2] => [3,2,2] => [2,2] => 1
[6,4,3,2,1,1] => [4,3,2,1,1] => [3,2,1,1] => [2,1,1] => 1
[6,4,3,1,1,1,1] => [4,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => 1
[6,4,2,2,2,1] => [4,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[6,4,2,2,1,1,1] => [4,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[6,4,2,1,1,1,1,1] => [4,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[6,4,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[6,3,3,3,2] => [3,3,3,2] => [3,3,2] => [3,2] => 1
[6,3,3,3,1,1] => [3,3,3,1,1] => [3,3,1,1] => [3,1,1] => 1
[6,3,3,2,2,1] => [3,3,2,2,1] => [3,2,2,1] => [2,2,1] => 1
[6,3,3,2,1,1,1] => [3,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => 1
[6,3,3,1,1,1,1,1] => [3,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[6,3,2,2,2,2] => [3,2,2,2,2] => [2,2,2,2] => [2,2,2] => 1
[6,3,2,2,2,1,1] => [3,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => 1
[6,3,2,2,1,1,1,1] => [3,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => 1
[6,3,2,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[6,3,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[6,2,2,2,2,2,1] => [2,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => 1
[6,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => 1
[6,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[6,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[6,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [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] => [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] => [5,2] => [2] => 1
[5,5,5,1,1] => [5,5,1,1] => [5,1,1] => [1,1] => 1
[5,5,4,3] => [5,4,3] => [4,3] => [3] => 1
[5,5,4,2,1] => [5,4,2,1] => [4,2,1] => [2,1] => 1
[5,5,4,1,1,1] => [5,4,1,1,1] => [4,1,1,1] => [1,1,1] => 1
[5,5,3,3,1] => [5,3,3,1] => [3,3,1] => [3,1] => 1
[5,5,3,2,2] => [5,3,2,2] => [3,2,2] => [2,2] => 1
[5,5,3,2,1,1] => [5,3,2,1,1] => [3,2,1,1] => [2,1,1] => 1
[5,5,3,1,1,1,1] => [5,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => 1
[5,5,2,2,2,1] => [5,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[5,5,2,2,1,1,1] => [5,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => 1
[5,5,2,1,1,1,1,1] => [5,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => 1
[5,5,1,1,1,1,1,1,1] => [5,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[5,4,4,4] => [4,4,4] => [4,4] => [4] => 1
[5,4,4,3,1] => [4,4,3,1] => [4,3,1] => [3,1] => 1
[5,4,4,2,2] => [4,4,2,2] => [4,2,2] => [2,2] => 1
[5,4,4,2,1,1] => [4,4,2,1,1] => [4,2,1,1] => [2,1,1] => 1
[5,4,4,1,1,1,1] => [4,4,1,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => 1
[5,4,3,3,2] => [4,3,3,2] => [3,3,2] => [3,2] => 1
[5,4,3,3,1,1] => [4,3,3,1,1] => [3,3,1,1] => [3,1,1] => 1
[5,4,3,2,2,1] => [4,3,2,2,1] => [3,2,2,1] => [2,2,1] => 1
[5,4,3,2,1,1,1] => [4,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => 1
[5,4,3,1,1,1,1,1] => [4,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => 1
[5,4,2,2,2,2] => [4,2,2,2,2] => [2,2,2,2] => [2,2,2] => 1
[5,4,2,2,2,1,1] => [4,2,2,2,1,1] => [2,2,2,1,1] => [2,2,1,1] => 1
[5,4,2,2,1,1,1,1] => [4,2,2,1,1,1,1] => [2,2,1,1,1,1] => [2,1,1,1,1] => 1
[5,4,2,1,1,1,1,1,1] => [4,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[5,4,1,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[5,3,3,3,3] => [3,3,3,3] => [3,3,3] => [3,3] => 1
[5,3,3,3,2,1] => [3,3,3,2,1] => [3,3,2,1] => [3,2,1] => 3
[5,3,3,3,1,1,1] => [3,3,3,1,1,1] => [3,3,1,1,1] => [3,1,1,1] => 1
[5,3,3,2,2,2] => [3,3,2,2,2] => [3,2,2,2] => [2,2,2] => 1
[5,3,3,2,2,1,1] => [3,3,2,2,1,1] => [3,2,2,1,1] => [2,2,1,1] => 1
[5,3,3,2,1,1,1,1] => [3,3,2,1,1,1,1] => [3,2,1,1,1,1] => [2,1,1,1,1] => 1
[5,3,3,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[5,3,2,2,2,2,1] => [3,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => 1
[5,3,2,2,2,1,1,1] => [3,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => 1
[5,3,2,2,1,1,1,1,1] => [3,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[5,3,2,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[5,3,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[5,2,2,2,2,2,2] => [2,2,2,2,2,2] => [2,2,2,2,2] => [2,2,2,2] => 1
[5,2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] => [2,2,2,2,1,1] => [2,2,2,1,1] => 1
[5,2,2,2,2,1,1,1,1] => [2,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[5,2,2,2,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 1
[5,2,2,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[5,2,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 1
[5,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1] => [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] => [4,4,1] => [4,1] => 2
[4,4,4,3,2] => [4,4,3,2] => [4,3,2] => [3,2] => 1
[4,4,4,3,1,1] => [4,4,3,1,1] => [4,3,1,1] => [3,1,1] => 1
[4,4,4,2,2,1] => [4,4,2,2,1] => [4,2,2,1] => [2,2,1] => 1
[4,4,4,2,1,1,1] => [4,4,2,1,1,1] => [4,2,1,1,1] => [2,1,1,1] => 1
[4,4,4,1,1,1,1,1] => [4,4,1,1,1,1,1] => [4,1,1,1,1,1] => [1,1,1,1,1] => 1
[4,4,3,3,3] => [4,3,3,3] => [3,3,3] => [3,3] => 1
[4,4,3,3,2,1] => [4,3,3,2,1] => [3,3,2,1] => [3,2,1] => 3
[4,4,3,3,1,1,1] => [4,3,3,1,1,1] => [3,3,1,1,1] => [3,1,1,1] => 1
[4,4,3,2,2,2] => [4,3,2,2,2] => [3,2,2,2] => [2,2,2] => 1
[4,4,3,2,2,1,1] => [4,3,2,2,1,1] => [3,2,2,1,1] => [2,2,1,1] => 1
[4,4,3,2,1,1,1,1] => [4,3,2,1,1,1,1] => [3,2,1,1,1,1] => [2,1,1,1,1] => 1
[4,4,3,1,1,1,1,1,1] => [4,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[4,4,2,2,2,2,1] => [4,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => 1
[4,4,2,2,2,1,1,1] => [4,2,2,2,1,1,1] => [2,2,2,1,1,1] => [2,2,1,1,1] => 1
[4,4,2,2,1,1,1,1,1] => [4,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[4,4,2,1,1,1,1,1,1,1] => [4,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[4,4,1,1,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[4,3,3,3,3,1] => [3,3,3,3,1] => [3,3,3,1] => [3,3,1] => 2
[4,3,3,3,2,2] => [3,3,3,2,2] => [3,3,2,2] => [3,2,2] => 2
[4,3,3,3,2,1,1] => [3,3,3,2,1,1] => [3,3,2,1,1] => [3,2,1,1] => 3
[4,3,3,3,1,1,1,1] => [3,3,3,1,1,1,1] => [3,3,1,1,1,1] => [3,1,1,1,1] => 1
[4,3,3,2,2,2,1] => [3,3,2,2,2,1] => [3,2,2,2,1] => [2,2,2,1] => 1
[4,3,3,2,2,1,1,1] => [3,3,2,2,1,1,1] => [3,2,2,1,1,1] => [2,2,1,1,1] => 1
[4,3,3,2,1,1,1,1,1] => [3,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[4,3,3,1,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[4,3,2,2,2,2,2] => [3,2,2,2,2,2] => [2,2,2,2,2] => [2,2,2,2] => 1
[4,3,2,2,2,2,1,1] => [3,2,2,2,2,1,1] => [2,2,2,2,1,1] => [2,2,2,1,1] => 1
[4,3,2,2,2,1,1,1,1] => [3,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[4,3,2,2,1,1,1,1,1,1] => [3,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 1
[4,3,2,1,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[4,3,1,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [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] => [2,2,2,2,2,1] => [2,2,2,2,1] => 1
[4,2,2,2,2,2,1,1,1] => [2,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] => [2,2,2,1,1,1] => 1
[4,2,2,2,2,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 1
[4,2,2,2,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 1
[4,2,2,1,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 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] => [1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => 1
[4,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1] => [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] => [3,3,3,2] => [3,3,2] => 3
[3,3,3,3,3,1,1] => [3,3,3,3,1,1] => [3,3,3,1,1] => [3,3,1,1] => 3
[3,3,3,3,2,2,1] => [3,3,3,2,2,1] => [3,3,2,2,1] => [3,2,2,1] => 4
[3,3,3,3,2,1,1,1] => [3,3,3,2,1,1,1] => [3,3,2,1,1,1] => [3,2,1,1,1] => 3
[3,3,3,3,1,1,1,1,1] => [3,3,3,1,1,1,1,1] => [3,3,1,1,1,1,1] => [3,1,1,1,1,1] => 1
[3,3,3,2,2,2,2] => [3,3,2,2,2,2] => [3,2,2,2,2] => [2,2,2,2] => 1
[3,3,3,2,2,2,1,1] => [3,3,2,2,2,1,1] => [3,2,2,2,1,1] => [2,2,2,1,1] => 1
[3,3,3,2,2,1,1,1,1] => [3,3,2,2,1,1,1,1] => [3,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[3,3,3,2,1,1,1,1,1,1] => [3,3,2,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 1
[3,3,3,1,1,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[3,3,2,2,2,2,2,1] => [3,2,2,2,2,2,1] => [2,2,2,2,2,1] => [2,2,2,2,1] => 1
[3,3,2,2,2,2,1,1,1] => [3,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] => [2,2,2,1,1,1] => 1
[3,3,2,2,2,1,1,1,1,1] => [3,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 1
[3,3,2,2,1,1,1,1,1,1,1] => [3,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 1
[3,3,2,1,1,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 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] => [1,1,1,1,1,1,1,1,1,1,1] => [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] => [2,2,2,2,2,2] => [2,2,2,2,2] => 1
[3,2,2,2,2,2,2,1,1] => [2,2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] => [2,2,2,2,1,1] => 1
[3,2,2,2,2,2,1,1,1,1] => [2,2,2,2,2,1,1,1,1] => [2,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => 1
[3,2,2,2,2,1,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 1
[3,2,2,2,1,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 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] => [2,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => 1
[3,2,1,1,1,1,1,1,1,1,1,1,1,1] => [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
[3,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1] => 1
[2,2,2,2,2,2,2,2,1] => [2,2,2,2,2,2,2,1] => [2,2,2,2,2,2,1] => [2,2,2,2,2,1] => 1
[2,2,2,2,2,2,2,1,1,1] => [2,2,2,2,2,2,1,1,1] => [2,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] => 1
[2,2,2,2,2,2,1,1,1,1,1] => [2,2,2,2,2,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] => 1
[2,2,2,2,2,1,1,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] => 1
[2,2,2,2,1,1,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => 1
[2,2,2,1,1,1,1,1,1,1,1,1,1,1] => [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] => [1,1,1,1,1,1,1,1,1,1,1] => 1
[2,2,1,1,1,1,1,1,1,1,1,1,1,1,1] => [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
[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 1
[6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 3
[5,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 3
[6,4,4,3,2,1] => [4,4,3,2,1] => [4,3,2,1] => [3,2,1] => 3
[5,4,4,3,2,1] => [4,4,3,2,1] => [4,3,2,1] => [3,2,1] => 3
[4,4,4,3,2,1] => [4,4,3,2,1] => [4,3,2,1] => [3,2,1] => 3
[6,5,3,3,2,1] => [5,3,3,2,1] => [3,3,2,1] => [3,2,1] => 3
[5,5,3,3,2,1] => [5,3,3,2,1] => [3,3,2,1] => [3,2,1] => 3
[6,4,3,3,2,1] => [4,3,3,2,1] => [3,3,2,1] => [3,2,1] => 3
[5,4,3,3,2,1] => [4,3,3,2,1] => [3,3,2,1] => [3,2,1] => 3
[6,3,3,3,2,1] => [3,3,3,2,1] => [3,3,2,1] => [3,2,1] => 3
[6,5,4,2,2,1] => [5,4,2,2,1] => [4,2,2,1] => [2,2,1] => 1
[5,5,4,2,2,1] => [5,4,2,2,1] => [4,2,2,1] => [2,2,1] => 1
[6,4,4,2,2,1] => [4,4,2,2,1] => [4,2,2,1] => [2,2,1] => 1
[5,4,4,2,2,1] => [4,4,2,2,1] => [4,2,2,1] => [2,2,1] => 1
[6,5,3,2,2,1] => [5,3,2,2,1] => [3,2,2,1] => [2,2,1] => 1
[5,5,3,2,2,1] => [5,3,2,2,1] => [3,2,2,1] => [2,2,1] => 1
[6,4,3,2,2,1] => [4,3,2,2,1] => [3,2,2,1] => [2,2,1] => 1
[6,5,2,2,2,1] => [5,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[6,5,4,3,1,1] => [5,4,3,1,1] => [4,3,1,1] => [3,1,1] => 1
[5,5,4,3,1,1] => [5,4,3,1,1] => [4,3,1,1] => [3,1,1] => 1
[6,4,4,3,1,1] => [4,4,3,1,1] => [4,3,1,1] => [3,1,1] => 1
[5,4,4,3,1,1] => [4,4,3,1,1] => [4,3,1,1] => [3,1,1] => 1
[6,5,3,3,1,1] => [5,3,3,1,1] => [3,3,1,1] => [3,1,1] => 1
[5,5,3,3,1,1] => [5,3,3,1,1] => [3,3,1,1] => [3,1,1] => 1
[6,4,3,3,1,1] => [4,3,3,1,1] => [3,3,1,1] => [3,1,1] => 1
[6,5,4,2,1,1] => [5,4,2,1,1] => [4,2,1,1] => [2,1,1] => 1
[5,5,4,2,1,1] => [5,4,2,1,1] => [4,2,1,1] => [2,1,1] => 1
[6,4,4,2,1,1] => [4,4,2,1,1] => [4,2,1,1] => [2,1,1] => 1
[6,5,3,2,1,1] => [5,3,2,1,1] => [3,2,1,1] => [2,1,1] => 1
[6,5,4,1,1,1] => [5,4,1,1,1] => [4,1,1,1] => [1,1,1] => 1
[6,5,4,3,2] => [5,4,3,2] => [4,3,2] => [3,2] => 1
[5,5,4,3,2] => [5,4,3,2] => [4,3,2] => [3,2] => 1
[6,4,4,3,2] => [4,4,3,2] => [4,3,2] => [3,2] => 1
[5,4,4,3,2] => [4,4,3,2] => [4,3,2] => [3,2] => 1
[6,5,3,3,2] => [5,3,3,2] => [3,3,2] => [3,2] => 1
[5,5,3,3,2] => [5,3,3,2] => [3,3,2] => [3,2] => 1
[6,4,3,3,2] => [4,3,3,2] => [3,3,2] => [3,2] => 1
[6,5,4,2,2] => [5,4,2,2] => [4,2,2] => [2,2] => 1
[5,5,4,2,2] => [5,4,2,2] => [4,2,2] => [2,2] => 1
[6,4,4,2,2] => [4,4,2,2] => [4,2,2] => [2,2] => 1
[6,5,3,2,2] => [5,3,2,2] => [3,2,2] => [2,2] => 1
[6,5,4,3,1] => [5,4,3,1] => [4,3,1] => [3,1] => 1
[5,5,4,3,1] => [5,4,3,1] => [4,3,1] => [3,1] => 1
[6,4,4,3,1] => [4,4,3,1] => [4,3,1] => [3,1] => 1
[6,5,3,3,1] => [5,3,3,1] => [3,3,1] => [3,1] => 1
[6,5,4,2,1] => [5,4,2,1] => [4,2,1] => [2,1] => 1
[6,5,4,3] => [5,4,3] => [4,3] => [3] => 1
[7,6,5,4,3,2,1] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 34
[6,6,5,4,3,2,1] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 34
[7,5,5,4,3,2,1] => [5,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 34
[6,5,5,4,3,2,1] => [5,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 34
[5,5,5,4,3,2,1] => [5,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 34
[7,6,4,4,3,2,1] => [6,4,4,3,2,1] => [4,4,3,2,1] => [4,3,2,1] => 34
[6,6,4,4,3,2,1] => [6,4,4,3,2,1] => [4,4,3,2,1] => [4,3,2,1] => 34
[7,5,4,4,3,2,1] => [5,4,4,3,2,1] => [4,4,3,2,1] => [4,3,2,1] => 34
[6,5,4,4,3,2,1] => [5,4,4,3,2,1] => [4,4,3,2,1] => [4,3,2,1] => 34
[5,5,4,4,3,2,1] => [5,4,4,3,2,1] => [4,4,3,2,1] => [4,3,2,1] => 34
[7,4,4,4,3,2,1] => [4,4,4,3,2,1] => [4,4,3,2,1] => [4,3,2,1] => 34
[6,4,4,4,3,2,1] => [4,4,4,3,2,1] => [4,4,3,2,1] => [4,3,2,1] => 34
[5,4,4,4,3,2,1] => [4,4,4,3,2,1] => [4,4,3,2,1] => [4,3,2,1] => 34
[4,4,4,4,3,2,1] => [4,4,4,3,2,1] => [4,4,3,2,1] => [4,3,2,1] => 34
[6,6,5,3,3,2,1] => [6,5,3,3,2,1] => [5,3,3,2,1] => [3,3,2,1] => 7
[6,5,4,3,3,2,1] => [5,4,3,3,2,1] => [4,3,3,2,1] => [3,3,2,1] => 7
[6,5,3,3,3,2,1] => [5,3,3,3,2,1] => [3,3,3,2,1] => [3,3,2,1] => 7
[6,4,3,3,3,2,1] => [4,3,3,3,2,1] => [3,3,3,2,1] => [3,3,2,1] => 7
[5,4,3,3,3,2,1] => [4,3,3,3,2,1] => [3,3,3,2,1] => [3,3,2,1] => 7
[6,3,3,3,3,2,1] => [3,3,3,3,2,1] => [3,3,3,2,1] => [3,3,2,1] => 7
[3,3,3,3,3,2,1] => [3,3,3,3,2,1] => [3,3,3,2,1] => [3,3,2,1] => 7
[6,6,5,4,2,2,1] => [6,5,4,2,2,1] => [5,4,2,2,1] => [4,2,2,1] => 8
[6,5,5,4,2,2,1] => [5,5,4,2,2,1] => [5,4,2,2,1] => [4,2,2,1] => 8
[6,5,4,4,2,2,1] => [5,4,4,2,2,1] => [4,4,2,2,1] => [4,2,2,1] => 8
[6,5,4,3,2,2,1] => [5,4,3,2,2,1] => [4,3,2,2,1] => [3,2,2,1] => 4
[5,5,4,3,2,2,1] => [5,4,3,2,2,1] => [4,3,2,2,1] => [3,2,2,1] => 4
[7,6,5,2,2,2,1] => [6,5,2,2,2,1] => [5,2,2,2,1] => [2,2,2,1] => 1
[6,5,4,2,2,2,1] => [5,4,2,2,2,1] => [4,2,2,2,1] => [2,2,2,1] => 1
[6,5,3,2,2,2,1] => [5,3,2,2,2,1] => [3,2,2,2,1] => [2,2,2,1] => 1
[6,4,3,2,2,2,1] => [4,3,2,2,2,1] => [3,2,2,2,1] => [2,2,2,1] => 1
[5,4,3,2,2,2,1] => [4,3,2,2,2,1] => [3,2,2,2,1] => [2,2,2,1] => 1
[6,5,2,2,2,2,1] => [5,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => 1
[7,2,2,2,2,2,1] => [2,2,2,2,2,1] => [2,2,2,2,1] => [2,2,2,1] => 1
[7,6,5,4,3,1,1] => [6,5,4,3,1,1] => [5,4,3,1,1] => [4,3,1,1] => 10
[6,6,5,4,3,1,1] => [6,5,4,3,1,1] => [5,4,3,1,1] => [4,3,1,1] => 10
[6,5,5,4,3,1,1] => [5,5,4,3,1,1] => [5,4,3,1,1] => [4,3,1,1] => 10
[6,6,5,4,2,1,1] => [6,5,4,2,1,1] => [5,4,2,1,1] => [4,2,1,1] => 6
[6,5,5,4,2,1,1] => [5,5,4,2,1,1] => [5,4,2,1,1] => [4,2,1,1] => 6
[4,4,4,4,2,1,1] => [4,4,4,2,1,1] => [4,4,2,1,1] => [4,2,1,1] => 6
[6,5,4,3,2,1,1] => [5,4,3,2,1,1] => [4,3,2,1,1] => [3,2,1,1] => 3
[5,5,4,3,2,1,1] => [5,4,3,2,1,1] => [4,3,2,1,1] => [3,2,1,1] => 3
[5,4,4,3,2,1,1] => [4,4,3,2,1,1] => [4,3,2,1,1] => [3,2,1,1] => 3
[7,6,5,4,1,1,1] => [6,5,4,1,1,1] => [5,4,1,1,1] => [4,1,1,1] => 2
[6,5,5,4,1,1,1] => [5,5,4,1,1,1] => [5,4,1,1,1] => [4,1,1,1] => 2
[6,5,4,3,1,1,1] => [5,4,3,1,1,1] => [4,3,1,1,1] => [3,1,1,1] => 1
[7,6,5,2,1,1,1] => [6,5,2,1,1,1] => [5,2,1,1,1] => [2,1,1,1] => 1
[5,5,5,2,1,1,1] => [5,5,2,1,1,1] => [5,2,1,1,1] => [2,1,1,1] => 1
[7,5,4,2,1,1,1] => [5,4,2,1,1,1] => [4,2,1,1,1] => [2,1,1,1] => 1
[6,5,4,2,1,1,1] => [5,4,2,1,1,1] => [4,2,1,1,1] => [2,1,1,1] => 1
[7,6,3,2,1,1,1] => [6,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => 1
[7,4,3,2,1,1,1] => [4,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => 1
[6,4,3,2,1,1,1] => [4,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => 1
[6,5,4,1,1,1,1] => [5,4,1,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => 1
[6,6,2,1,1,1,1] => [6,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => 1
[7,6,1,1,1,1,1] => [6,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[7,6,5,4,3,2] => [6,5,4,3,2] => [5,4,3,2] => [4,3,2] => 10
[6,6,5,4,3,2] => [6,5,4,3,2] => [5,4,3,2] => [4,3,2] => 10
[7,5,5,4,3,2] => [5,5,4,3,2] => [5,4,3,2] => [4,3,2] => 10
[6,5,5,4,3,2] => [5,5,4,3,2] => [5,4,3,2] => [4,3,2] => 10
[5,5,5,4,3,2] => [5,5,4,3,2] => [5,4,3,2] => [4,3,2] => 10
[7,6,4,4,3,2] => [6,4,4,3,2] => [4,4,3,2] => [4,3,2] => 10
[6,5,4,4,3,2] => [5,4,4,3,2] => [4,4,3,2] => [4,3,2] => 10
[6,5,4,3,3,2] => [5,4,3,3,2] => [4,3,3,2] => [3,3,2] => 3
[5,4,3,3,3,2] => [4,3,3,3,2] => [3,3,3,2] => [3,3,2] => 3
[4,3,3,3,3,2] => [3,3,3,3,2] => [3,3,3,2] => [3,3,2] => 3
[6,5,4,3,2,2] => [5,4,3,2,2] => [4,3,2,2] => [3,2,2] => 2
[4,4,4,3,2,2] => [4,4,3,2,2] => [4,3,2,2] => [3,2,2] => 2
[7,6,5,2,2,2] => [6,5,2,2,2] => [5,2,2,2] => [2,2,2] => 1
[6,5,4,2,2,2] => [5,4,2,2,2] => [4,2,2,2] => [2,2,2] => 1
[5,4,3,2,2,2] => [4,3,2,2,2] => [3,2,2,2] => [2,2,2] => 1
[6,6,2,2,2,2] => [6,2,2,2,2] => [2,2,2,2] => [2,2,2] => 1
[7,6,5,4,3,1] => [6,5,4,3,1] => [5,4,3,1] => [4,3,1] => 8
[6,6,5,4,3,1] => [6,5,4,3,1] => [5,4,3,1] => [4,3,1] => 8
[6,5,5,4,3,1] => [5,5,4,3,1] => [5,4,3,1] => [4,3,1] => 8
[4,4,4,4,3,1] => [4,4,4,3,1] => [4,4,3,1] => [4,3,1] => 8
[7,6,5,4,2,1] => [6,5,4,2,1] => [5,4,2,1] => [4,2,1] => 5
[5,5,5,4,2,1] => [5,5,4,2,1] => [5,4,2,1] => [4,2,1] => 5
[4,4,4,4,2,1] => [4,4,4,2,1] => [4,4,2,1] => [4,2,1] => 5
[7,6,5,3,2,1] => [6,5,3,2,1] => [5,3,2,1] => [3,2,1] => 3
[6,6,5,3,2,1] => [6,5,3,2,1] => [5,3,2,1] => [3,2,1] => 3
[5,5,5,3,2,1] => [5,5,3,2,1] => [5,3,2,1] => [3,2,1] => 3
[7,6,4,3,2,1] => [6,4,3,2,1] => [4,3,2,1] => [3,2,1] => 3
[6,6,4,3,2,1] => [6,4,3,2,1] => [4,3,2,1] => [3,2,1] => 3
[7,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 3
[7,4,4,3,2,1] => [4,4,3,2,1] => [4,3,2,1] => [3,2,1] => 3
[7,6,3,3,2,1] => [6,3,3,2,1] => [3,3,2,1] => [3,2,1] => 3
[7,4,3,3,2,1] => [4,3,3,2,1] => [3,3,2,1] => [3,2,1] => 3
[7,3,3,3,2,1] => [3,3,3,2,1] => [3,3,2,1] => [3,2,1] => 3
[7,6,5,2,2,1] => [6,5,2,2,1] => [5,2,2,1] => [2,2,1] => 1
[7,6,3,2,2,1] => [6,3,2,2,1] => [3,2,2,1] => [2,2,1] => 1
[7,6,2,2,2,1] => [6,2,2,2,1] => [2,2,2,1] => [2,2,1] => 1
[7,6,5,4,1,1] => [6,5,4,1,1] => [5,4,1,1] => [4,1,1] => 2
[7,6,5,2,1,1] => [6,5,2,1,1] => [5,2,1,1] => [2,1,1] => 1
[7,6,3,2,1,1] => [6,3,2,1,1] => [3,2,1,1] => [2,1,1] => 1
[7,4,3,2,1,1] => [4,3,2,1,1] => [3,2,1,1] => [2,1,1] => 1
[7,6,5,1,1,1] => [6,5,1,1,1] => [5,1,1,1] => [1,1,1] => 1
[7,6,5,4,3] => [6,5,4,3] => [5,4,3] => [4,3] => 3
[6,6,5,4,3] => [6,5,4,3] => [5,4,3] => [4,3] => 3
[6,5,5,4,3] => [5,5,4,3] => [5,4,3] => [4,3] => 3
[5,4,4,4,3] => [4,4,4,3] => [4,4,3] => [4,3] => 3
[5,4,3,3,3] => [4,3,3,3] => [3,3,3] => [3,3] => 1
[7,3,3,3,3] => [3,3,3,3] => [3,3,3] => [3,3] => 1
[7,6,5,4,2] => [6,5,4,2] => [5,4,2] => [4,2] => 2
[4,4,4,4,2] => [4,4,4,2] => [4,4,2] => [4,2] => 2
[7,6,5,3,2] => [6,5,3,2] => [5,3,2] => [3,2] => 1
[7,6,4,3,2] => [6,4,3,2] => [4,3,2] => [3,2] => 1
[7,5,4,3,2] => [5,4,3,2] => [4,3,2] => [3,2] => 1
[7,6,5,4,1] => [6,5,4,1] => [5,4,1] => [4,1] => 2
[7,5,4,3,1] => [5,4,3,1] => [4,3,1] => [3,1] => 1
[7,6,5,2,1] => [6,5,2,1] => [5,2,1] => [2,1] => 1
[6,6,5,2,1] => [6,5,2,1] => [5,2,1] => [2,1] => 1
[7,6,4,2,1] => [6,4,2,1] => [4,2,1] => [2,1] => 1
[6,6,4,2,1] => [6,4,2,1] => [4,2,1] => [2,1] => 1
[7,5,4,2,1] => [5,4,2,1] => [4,2,1] => [2,1] => 1
[7,6,3,2,1] => [6,3,2,1] => [3,2,1] => [2,1] => 1
[6,6,3,2,1] => [6,3,2,1] => [3,2,1] => [2,1] => 1
[7,6,5,4] => [6,5,4] => [5,4] => [4] => 1
[6,5,5,4] => [5,5,4] => [5,4] => [4] => 1
[7,6,5,3] => [6,5,3] => [5,3] => [3] => 1
[7,6,4,3] => [6,4,3] => [4,3] => [3] => 1
[7,5,4,3] => [5,4,3] => [4,3] => [3] => 1
[7,6,5,2] => [6,5,2] => [5,2] => [2] => 1
[2,2,2,2,2,2,2,2,2] => [2,2,2,2,2,2,2,2] => [2,2,2,2,2,2,2] => [2,2,2,2,2,2] => 1
[3,3,3,3,3,3] => [3,3,3,3,3] => [3,3,3,3] => [3,3,3] => 2
[3,3,3,3,3,3,3,3] => [3,3,3,3,3,3,3] => [3,3,3,3,3,3] => [3,3,3,3,3] => 12
[2,2,2,2,2,2,2,2,2,2] => [2,2,2,2,2,2,2,2,2] => [2,2,2,2,2,2,2,2] => [2,2,2,2,2,2,2] => 1
[3,3,3,3,3,3,1] => [3,3,3,3,3,1] => [3,3,3,3,1] => [3,3,3,1] => 5
[3,3,3,3,3,3,3] => [3,3,3,3,3,3] => [3,3,3,3,3] => [3,3,3,3] => 4
[3,3,3,3,3,2,2] => [3,3,3,3,2,2] => [3,3,3,2,2] => [3,3,2,2] => 6
[4,3,3,3,3,3] => [3,3,3,3,3] => [3,3,3,3] => [3,3,3] => 2
[4,4,4,4,4] => [4,4,4,4] => [4,4,4] => [4,4] => 3
[4,4,4,3,3,3] => [4,4,3,3,3] => [4,3,3,3] => [3,3,3] => 2
[4,4,4,4,4,4] => [4,4,4,4,4] => [4,4,4,4] => [4,4,4] => 20
[5,5,5,5] => [5,5,5] => [5,5] => [5] => 1
[6,6,6,6] => [6,6,6] => [6,6] => [6] => 3
[6,2,2,2,2,2,2] => [2,2,2,2,2,2] => [2,2,2,2,2] => [2,2,2,2] => 1
[6,6,6,6,6] => [6,6,6,6] => [6,6,6] => [6,6] => 109
[8,2,2,2,2,2,2] => [2,2,2,2,2,2] => [2,2,2,2,2] => [2,2,2,2] => 1
[8,6,4,2] => [6,4,2] => [4,2] => [2] => 1
[5,5,5,5,5,5] => [5,5,5,5,5] => [5,5,5,5] => [5,5,5] => 389
[7,7,7,7] => [7,7,7] => [7,7] => [7] => 5
[11,7,5,1] => [7,5,1] => [5,1] => [1] => 1
[9,7,5,3,1] => [7,5,3,1] => [5,3,1] => [3,1] => 1
[11,9,7,5,3,1] => [9,7,5,3,1] => [7,5,3,1] => [5,3,1] => 15
[8,7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [6,5,4,3,2,1] => [5,4,3,2,1] => 2526
[7,7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [6,5,4,3,2,1] => [5,4,3,2,1] => 2526
[7,6,6,5,4,3,2,1] => [6,6,5,4,3,2,1] => [6,5,4,3,2,1] => [5,4,3,2,1] => 2526
[7,6,5,5,4,3,2,1] => [6,5,5,4,3,2,1] => [5,5,4,3,2,1] => [5,4,3,2,1] => 2526
[7,6,5,4,4,3,2,1] => [6,5,4,4,3,2,1] => [5,4,4,3,2,1] => [4,4,3,2,1] => 397
[7,6,5,4,3,3,2,1] => [6,5,4,3,3,2,1] => [5,4,3,3,2,1] => [4,3,3,2,1] => 161
[7,6,5,4,3,2,2,1] => [6,5,4,3,2,2,1] => [5,4,3,2,2,1] => [4,3,2,2,1] => 78
[7,6,5,4,3,2,1,1] => [6,5,4,3,2,1,1] => [5,4,3,2,1,1] => [4,3,2,1,1] => 50
[6,6,6,5,4,3,2,1] => [6,6,5,4,3,2,1] => [6,5,4,3,2,1] => [5,4,3,2,1] => 2526
[7,5,5,5,4,3,2,1] => [5,5,5,4,3,2,1] => [5,5,4,3,2,1] => [5,4,3,2,1] => 2526
[7,6,4,4,4,3,2,1] => [6,4,4,4,3,2,1] => [4,4,4,3,2,1] => [4,4,3,2,1] => 397
[7,6,5,3,3,3,2,1] => [6,5,3,3,3,2,1] => [5,3,3,3,2,1] => [3,3,3,2,1] => 24
[7,6,5,4,2,2,2,1] => [6,5,4,2,2,2,1] => [5,4,2,2,2,1] => [4,2,2,2,1] => 14
[7,6,5,4,3,1,1,1] => [6,5,4,3,1,1,1] => [5,4,3,1,1,1] => [4,3,1,1,1] => 11
[8,7,6,5,4,3,2,1,1] => [7,6,5,4,3,2,1,1] => [6,5,4,3,2,1,1] => [5,4,3,2,1,1] => 4924
[8,7,6,5,4,3,2] => [7,6,5,4,3,2] => [6,5,4,3,2] => [5,4,3,2] => 631
[8,7,6,5,4,3,1] => [7,6,5,4,3,1] => [6,5,4,3,1] => [5,4,3,1] => 368
[8,7,6,5,4,2,1] => [7,6,5,4,2,1] => [6,5,4,2,1] => [5,4,2,1] => 196
[8,7,6,5,3,2,1] => [7,6,5,3,2,1] => [6,5,3,2,1] => [5,3,2,1] => 85
[8,7,6,4,3,2,1] => [7,6,4,3,2,1] => [6,4,3,2,1] => [4,3,2,1] => 34
[8,7,5,4,3,2,1] => [7,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 34
[8,6,5,4,3,2,1] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 34
[8,7,6,5,4,3] => [7,6,5,4,3] => [6,5,4,3] => [5,4,3] => 132
[8,7,6,5,4,1,1] => [7,6,5,4,1,1] => [6,5,4,1,1] => [5,4,1,1] => 62
[8,7,6,5,2,2,1] => [7,6,5,2,2,1] => [6,5,2,2,1] => [5,2,2,1] => 19
[8,7,6,3,3,2,1] => [7,6,3,3,2,1] => [6,3,3,2,1] => [3,3,2,1] => 7
[9,8,7,6,4,3,2,1] => [8,7,6,4,3,2,1] => [7,6,4,3,2,1] => [6,4,3,2,1] => 8552
[8,7,4,4,3,2,1] => [7,4,4,3,2,1] => [4,4,3,2,1] => [4,3,2,1] => 34
[9,8,7,5,4,3,2,1] => [8,7,5,4,3,2,1] => [7,5,4,3,2,1] => [5,4,3,2,1] => 2526
[8,5,5,4,3,2,1] => [5,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 34
[9,8,6,5,4,3,2,1] => [8,6,5,4,3,2,1] => [6,5,4,3,2,1] => [5,4,3,2,1] => 2526
[9,7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [6,5,4,3,2,1] => [5,4,3,2,1] => 2526
[8,5,4,2] => [5,4,2] => [4,2] => [2] => 1
[9,6,5,3] => [6,5,3] => [5,3] => [3] => 1
[10,7,5,3] => [7,5,3] => [5,3] => [3] => 1
[9,6,4,3] => [6,4,3] => [4,3] => [3] => 1
[9,7,5,4,1] => [7,5,4,1] => [5,4,1] => [4,1] => 2
[8,6,5,3,1] => [6,5,3,1] => [5,3,1] => [3,1] => 1
[10,8,6,4,2] => [8,6,4,2] => [6,4,2] => [4,2] => 2
[8,5,5,1] => [5,5,1] => [5,1] => [1] => 1
[9,5,5,1] => [5,5,1] => [5,1] => [1] => 1
[9,7,5,3] => [7,5,3] => [5,3] => [3] => 1
[3,3,3,3,1,1,1,1,1,1] => [3,3,3,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 1
[5,5,5,5,5] => [5,5,5,5] => [5,5,5] => [5,5] => 15
[4,4,4,4,4,4,4] => [4,4,4,4,4,4] => [4,4,4,4,4] => [4,4,4,4] => 188
[7,7,1,1,1,1] => [7,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[8,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 3
[8,7,4,3,2,1] => [7,4,3,2,1] => [4,3,2,1] => [3,2,1] => 3
[7,7,1,1,1,1,1,1] => [7,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => 1
[5,4,3,2,1,1,1,1] => [4,3,2,1,1,1,1] => [3,2,1,1,1,1] => [2,1,1,1,1] => 1
[6,5,4,3,2,1,1,1] => [5,4,3,2,1,1,1] => [4,3,2,1,1,1] => [3,2,1,1,1] => 3
[5,4,3,2,1,1,1,1,1] => [4,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[6,5,4,3,1,1,1,1] => [5,4,3,1,1,1,1] => [4,3,1,1,1,1] => [3,1,1,1,1] => 1
[6,5,4,3,2,1,1,1,1] => [5,4,3,2,1,1,1,1] => [4,3,2,1,1,1,1] => [3,2,1,1,1,1] => 3
[7,6,5,4,3,2,1,1,1] => [6,5,4,3,2,1,1,1] => [5,4,3,2,1,1,1] => [4,3,2,1,1,1] => 57
[8,6,5,4,3,2] => [6,5,4,3,2] => [5,4,3,2] => [4,3,2] => 10
[7,5,4,3,2,1,1,1] => [5,4,3,2,1,1,1] => [4,3,2,1,1,1] => [3,2,1,1,1] => 3
[7,6,4,3,2,2,2,1] => [6,4,3,2,2,2,1] => [4,3,2,2,2,1] => [3,2,2,2,1] => 6
[7,6,5,5,4,2,2,1] => [6,5,5,4,2,2,1] => [5,5,4,2,2,1] => [5,4,2,2,1] => 494
[7,6,6,5,4,3,1,1] => [6,6,5,4,3,1,1] => [6,5,4,3,1,1] => [5,4,3,1,1] => 631
[7,7,6,5,4,3,2] => [7,6,5,4,3,2] => [6,5,4,3,2] => [5,4,3,2] => 631
[6,6,6,4,3,2,1] => [6,6,4,3,2,1] => [6,4,3,2,1] => [4,3,2,1] => 34
[5,5,5,5,3,2,1] => [5,5,5,3,2,1] => [5,5,3,2,1] => [5,3,2,1] => 85
[6,5,5,5,4,3,2,1] => [5,5,5,4,3,2,1] => [5,5,4,3,2,1] => [5,4,3,2,1] => 2526
[5,4,4,4,4,2,1] => [4,4,4,4,2,1] => [4,4,4,2,1] => [4,4,2,1] => 39
[6,5,4,4,4,3,2,1] => [5,4,4,4,3,2,1] => [4,4,4,3,2,1] => [4,4,3,2,1] => 397
[5,4,3,3,3,3,1] => [4,3,3,3,3,1] => [3,3,3,3,1] => [3,3,3,1] => 5
[6,5,4,3,3,3,2,1] => [5,4,3,3,3,2,1] => [4,3,3,3,2,1] => [3,3,3,2,1] => 24
[5,4,3,2,2,2,2] => [4,3,2,2,2,2] => [3,2,2,2,2] => [2,2,2,2] => 1
[6,5,4,3,2,2,2,1] => [5,4,3,2,2,2,1] => [4,3,2,2,2,1] => [3,2,2,2,1] => 6
[6,5,5,5] => [5,5,5] => [5,5] => [5] => 1
[5,4,4,4,4] => [4,4,4,4] => [4,4,4] => [4,4] => 3
[8,7,6,3,2,1] => [7,6,3,2,1] => [6,3,2,1] => [3,2,1] => 3
[8,7,6,5,2,1] => [7,6,5,2,1] => [6,5,2,1] => [5,2,1] => 9
[8,7,6,5,4,1] => [7,6,5,4,1] => [6,5,4,1] => [5,4,1] => 38
[7,6,6,5,4,3,2] => [6,6,5,4,3,2] => [6,5,4,3,2] => [5,4,3,2] => 631
[7,6,6,5,4,3,1] => [6,6,5,4,3,1] => [6,5,4,3,1] => [5,4,3,1] => 368
[7,7,6,5,4,3,1] => [7,6,5,4,3,1] => [6,5,4,3,1] => [5,4,3,1] => 368
[7,7,6,5,4,3,1,1] => [7,6,5,4,3,1,1] => [6,5,4,3,1,1] => [5,4,3,1,1] => 631
[7,7,6,5,3,2,1] => [7,6,5,3,2,1] => [6,5,3,2,1] => [5,3,2,1] => 85
[8,7,6,5,4,1,1,1] => [7,6,5,4,1,1,1] => [6,5,4,1,1,1] => [5,4,1,1,1] => 67
[8,6,6,5,4,3,2] => [6,6,5,4,3,2] => [6,5,4,3,2] => [5,4,3,2] => 631
[8,7,6,5] => [7,6,5] => [6,5] => [5] => 1
[8,7,6,5,4] => [7,6,5,4] => [6,5,4] => [5,4] => 11
[9,8,7,6] => [8,7,6] => [7,6] => [6] => 3
[8,7,6,4] => [7,6,4] => [6,4] => [4] => 1
[9,8,7,6,5] => [8,7,6,5] => [7,6,5] => [6,5] => 77
[8,7,6,5,3] => [7,6,5,3] => [6,5,3] => [5,3] => 6
[9,8,7,6,5,4] => [8,7,6,5,4] => [7,6,5,4] => [6,5,4] => 2430
[8,7,6,5,4,2] => [7,6,5,4,2] => [6,5,4,2] => [5,4,2] => 62
[4,4,4,4,4,1] => [4,4,4,4,1] => [4,4,4,1] => [4,4,1] => 7
[5,5,5,5,1] => [5,5,5,1] => [5,5,1] => [5,1] => 3
[6,6,6,1] => [6,6,1] => [6,1] => [1] => 1
[7,7,5,5,4,3,2,1] => [7,5,5,4,3,2,1] => [5,5,4,3,2,1] => [5,4,3,2,1] => 2526
[7,7,5,4,3,2,1] => [7,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 34
[6,6,6,1,1] => [6,6,1,1] => [6,1,1] => [1,1] => 1
[7,7,4,3,2,1] => [7,4,3,2,1] => [4,3,2,1] => [3,2,1] => 3
[6,5,4,3,2,2,2] => [5,4,3,2,2,2] => [4,3,2,2,2] => [3,2,2,2] => 2
[8,5,4,3,2,1,1] => [5,4,3,2,1,1] => [4,3,2,1,1] => [3,2,1,1] => 3
[6,6,5,4,3,2,1,1] => [6,5,4,3,2,1,1] => [5,4,3,2,1,1] => [4,3,2,1,1] => 50
[7,6,5,4,3,2,2] => [6,5,4,3,2,2] => [5,4,3,2,2] => [4,3,2,2] => 28
search for individual values
searching the database for the individual values of this statistic
Description
The largest multiplicity of an irreducible representation contained in the higher Lie character for an integer partition.
Map
first row removal
Description
Removes the first entry of an integer partition