Identifier
Values
[1,1] => [1] => 1
[2,1] => [1] => 1
[1,1,1] => [1,1] => 1
[3,1] => [1] => 1
[2,2] => [2] => 1
[2,1,1] => [1,1] => 1
[1,1,1,1] => [1,1,1] => 1
[4,1] => [1] => 1
[3,2] => [2] => 1
[3,1,1] => [1,1] => 1
[2,2,1] => [2,1] => 1
[2,1,1,1] => [1,1,1] => 1
[1,1,1,1,1] => [1,1,1,1] => 1
[5,1] => [1] => 1
[4,2] => [2] => 1
[4,1,1] => [1,1] => 1
[3,3] => [3] => 1
[3,2,1] => [2,1] => 1
[3,1,1,1] => [1,1,1] => 1
[2,2,2] => [2,2] => 1
[2,2,1,1] => [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
[6,1] => [1] => 1
[5,2] => [2] => 1
[5,1,1] => [1,1] => 1
[4,3] => [3] => 1
[4,2,1] => [2,1] => 1
[4,1,1,1] => [1,1,1] => 1
[3,3,1] => [3,1] => 1
[3,2,2] => [2,2] => 1
[3,2,1,1] => [2,1,1] => 1
[3,1,1,1,1] => [1,1,1,1] => 1
[2,2,2,1] => [2,2,1] => 1
[2,2,1,1,1] => [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
[7,1] => [1] => 1
[6,2] => [2] => 1
[6,1,1] => [1,1] => 1
[5,3] => [3] => 1
[5,2,1] => [2,1] => 1
[5,1,1,1] => [1,1,1] => 1
[4,4] => [4] => 1
[4,3,1] => [3,1] => 1
[4,2,2] => [2,2] => 1
[4,2,1,1] => [2,1,1] => 1
[4,1,1,1,1] => [1,1,1,1] => 1
[3,3,2] => [3,2] => 1
[3,3,1,1] => [3,1,1] => 1
[3,2,2,1] => [2,2,1] => 1
[3,2,1,1,1] => [2,1,1,1] => 1
[3,1,1,1,1,1] => [1,1,1,1,1] => 1
[2,2,2,2] => [2,2,2] => 1
[2,2,2,1,1] => [2,2,1,1] => 1
[2,2,1,1,1,1] => [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
[8,1] => [1] => 1
[7,2] => [2] => 1
[7,1,1] => [1,1] => 1
[6,3] => [3] => 1
[6,2,1] => [2,1] => 1
[6,1,1,1] => [1,1,1] => 1
[5,4] => [4] => 1
[5,3,1] => [3,1] => 1
[5,2,2] => [2,2] => 1
[5,2,1,1] => [2,1,1] => 1
[5,1,1,1,1] => [1,1,1,1] => 1
[4,4,1] => [4,1] => 2
[4,3,2] => [3,2] => 1
[4,3,1,1] => [3,1,1] => 1
[4,2,2,1] => [2,2,1] => 1
[4,2,1,1,1] => [2,1,1,1] => 1
[4,1,1,1,1,1] => [1,1,1,1,1] => 1
[3,3,3] => [3,3] => 1
[3,3,2,1] => [3,2,1] => 3
[3,3,1,1,1] => [3,1,1,1] => 1
[3,2,2,2] => [2,2,2] => 1
[3,2,2,1,1] => [2,2,1,1] => 1
[3,2,1,1,1,1] => [2,1,1,1,1] => 1
[3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[2,2,2,2,1] => [2,2,2,1] => 1
[2,2,2,1,1,1] => [2,2,1,1,1] => 1
[2,2,1,1,1,1,1] => [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
[9,1] => [1] => 1
[8,2] => [2] => 1
[8,1,1] => [1,1] => 1
[7,3] => [3] => 1
[7,2,1] => [2,1] => 1
[7,1,1,1] => [1,1,1] => 1
[6,4] => [4] => 1
[6,3,1] => [3,1] => 1
[6,2,2] => [2,2] => 1
[6,2,1,1] => [2,1,1] => 1
[6,1,1,1,1] => [1,1,1,1] => 1
[5,5] => [5] => 1
[5,4,1] => [4,1] => 2
[5,3,2] => [3,2] => 1
>>> Load all 1366 entries. <<<
[5,3,1,1] => [3,1,1] => 1
[5,2,2,1] => [2,2,1] => 1
[5,2,1,1,1] => [2,1,1,1] => 1
[5,1,1,1,1,1] => [1,1,1,1,1] => 1
[4,4,2] => [4,2] => 2
[4,4,1,1] => [4,1,1] => 2
[4,3,3] => [3,3] => 1
[4,3,2,1] => [3,2,1] => 3
[4,3,1,1,1] => [3,1,1,1] => 1
[4,2,2,2] => [2,2,2] => 1
[4,2,2,1,1] => [2,2,1,1] => 1
[4,2,1,1,1,1] => [2,1,1,1,1] => 1
[4,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[3,3,3,1] => [3,3,1] => 2
[3,3,2,2] => [3,2,2] => 2
[3,3,2,1,1] => [3,2,1,1] => 3
[3,3,1,1,1,1] => [3,1,1,1,1] => 1
[3,2,2,2,1] => [2,2,2,1] => 1
[3,2,2,1,1,1] => [2,2,1,1,1] => 1
[3,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[3,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[2,2,2,2,2] => [2,2,2,2] => 1
[2,2,2,2,1,1] => [2,2,2,1,1] => 1
[2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[2,2,1,1,1,1,1,1] => [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
[10,1] => [1] => 1
[9,2] => [2] => 1
[9,1,1] => [1,1] => 1
[8,3] => [3] => 1
[8,2,1] => [2,1] => 1
[8,1,1,1] => [1,1,1] => 1
[7,4] => [4] => 1
[7,3,1] => [3,1] => 1
[7,2,2] => [2,2] => 1
[7,2,1,1] => [2,1,1] => 1
[7,1,1,1,1] => [1,1,1,1] => 1
[6,5] => [5] => 1
[6,4,1] => [4,1] => 2
[6,3,2] => [3,2] => 1
[6,3,1,1] => [3,1,1] => 1
[6,2,2,1] => [2,2,1] => 1
[6,2,1,1,1] => [2,1,1,1] => 1
[6,1,1,1,1,1] => [1,1,1,1,1] => 1
[5,5,1] => [5,1] => 3
[5,4,2] => [4,2] => 2
[5,4,1,1] => [4,1,1] => 2
[5,3,3] => [3,3] => 1
[5,3,2,1] => [3,2,1] => 3
[5,3,1,1,1] => [3,1,1,1] => 1
[5,2,2,2] => [2,2,2] => 1
[5,2,2,1,1] => [2,2,1,1] => 1
[5,2,1,1,1,1] => [2,1,1,1,1] => 1
[5,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[4,4,3] => [4,3] => 3
[4,4,2,1] => [4,2,1] => 5
[4,4,1,1,1] => [4,1,1,1] => 2
[4,3,3,1] => [3,3,1] => 2
[4,3,2,2] => [3,2,2] => 2
[4,3,2,1,1] => [3,2,1,1] => 3
[4,3,1,1,1,1] => [3,1,1,1,1] => 1
[4,2,2,2,1] => [2,2,2,1] => 1
[4,2,2,1,1,1] => [2,2,1,1,1] => 1
[4,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[4,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[3,3,3,2] => [3,3,2] => 3
[3,3,3,1,1] => [3,3,1,1] => 3
[3,3,2,2,1] => [3,2,2,1] => 4
[3,3,2,1,1,1] => [3,2,1,1,1] => 3
[3,3,1,1,1,1,1] => [3,1,1,1,1,1] => 1
[3,2,2,2,2] => [2,2,2,2] => 1
[3,2,2,2,1,1] => [2,2,2,1,1] => 1
[3,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[3,2,1,1,1,1,1,1] => [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
[2,2,2,2,2,1] => [2,2,2,2,1] => 1
[2,2,2,2,1,1,1] => [2,2,2,1,1,1] => 1
[2,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 1
[2,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 1
[2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 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
[10,2] => [2] => 1
[10,1,1] => [1,1] => 1
[9,3] => [3] => 1
[9,2,1] => [2,1] => 1
[9,1,1,1] => [1,1,1] => 1
[8,4] => [4] => 1
[8,3,1] => [3,1] => 1
[8,2,2] => [2,2] => 1
[8,2,1,1] => [2,1,1] => 1
[8,1,1,1,1] => [1,1,1,1] => 1
[7,5] => [5] => 1
[7,4,1] => [4,1] => 2
[7,3,2] => [3,2] => 1
[7,3,1,1] => [3,1,1] => 1
[7,2,2,1] => [2,2,1] => 1
[7,2,1,1,1] => [2,1,1,1] => 1
[7,1,1,1,1,1] => [1,1,1,1,1] => 1
[6,6] => [6] => 3
[6,5,1] => [5,1] => 3
[6,4,2] => [4,2] => 2
[6,4,1,1] => [4,1,1] => 2
[6,3,3] => [3,3] => 1
[6,3,2,1] => [3,2,1] => 3
[6,3,1,1,1] => [3,1,1,1] => 1
[6,2,2,2] => [2,2,2] => 1
[6,2,2,1,1] => [2,2,1,1] => 1
[6,2,1,1,1,1] => [2,1,1,1,1] => 1
[6,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[5,5,2] => [5,2] => 4
[5,5,1,1] => [5,1,1] => 4
[5,4,3] => [4,3] => 3
[5,4,2,1] => [4,2,1] => 5
[5,4,1,1,1] => [4,1,1,1] => 2
[5,3,3,1] => [3,3,1] => 2
[5,3,2,2] => [3,2,2] => 2
[5,3,2,1,1] => [3,2,1,1] => 3
[5,3,1,1,1,1] => [3,1,1,1,1] => 1
[5,2,2,2,1] => [2,2,2,1] => 1
[5,2,2,1,1,1] => [2,2,1,1,1] => 1
[5,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[5,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[4,4,4] => [4,4] => 3
[4,4,3,1] => [4,3,1] => 8
[4,4,2,2] => [4,2,2] => 3
[4,4,2,1,1] => [4,2,1,1] => 6
[4,4,1,1,1,1] => [4,1,1,1,1] => 2
[4,3,3,2] => [3,3,2] => 3
[4,3,3,1,1] => [3,3,1,1] => 3
[4,3,2,2,1] => [3,2,2,1] => 4
[4,3,2,1,1,1] => [3,2,1,1,1] => 3
[4,3,1,1,1,1,1] => [3,1,1,1,1,1] => 1
[4,2,2,2,2] => [2,2,2,2] => 1
[4,2,2,2,1,1] => [2,2,2,1,1] => 1
[4,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[4,2,1,1,1,1,1,1] => [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
[3,3,3,3] => [3,3,3] => 2
[3,3,3,2,1] => [3,3,2,1] => 7
[3,3,3,1,1,1] => [3,3,1,1,1] => 3
[3,3,2,2,2] => [3,2,2,2] => 2
[3,3,2,2,1,1] => [3,2,2,1,1] => 5
[3,3,2,1,1,1,1] => [3,2,1,1,1,1] => 3
[3,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 1
[3,2,2,2,2,1] => [2,2,2,2,1] => 1
[3,2,2,2,1,1,1] => [2,2,2,1,1,1] => 1
[3,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 1
[3,2,1,1,1,1,1,1,1] => [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
[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] => 1
[2,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => 1
[2,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 1
[2,2,1,1,1,1,1,1,1,1] => [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
[12,1] => [1] => 1
[11,2] => [2] => 1
[11,1,1] => [1,1] => 1
[10,3] => [3] => 1
[10,2,1] => [2,1] => 1
[10,1,1,1] => [1,1,1] => 1
[9,4] => [4] => 1
[9,3,1] => [3,1] => 1
[9,2,2] => [2,2] => 1
[9,2,1,1] => [2,1,1] => 1
[9,1,1,1,1] => [1,1,1,1] => 1
[8,5] => [5] => 1
[8,4,1] => [4,1] => 2
[8,3,2] => [3,2] => 1
[8,3,1,1] => [3,1,1] => 1
[8,2,2,1] => [2,2,1] => 1
[8,2,1,1,1] => [2,1,1,1] => 1
[8,1,1,1,1,1] => [1,1,1,1,1] => 1
[7,6] => [6] => 3
[7,5,1] => [5,1] => 3
[7,4,2] => [4,2] => 2
[7,4,1,1] => [4,1,1] => 2
[7,3,3] => [3,3] => 1
[7,3,2,1] => [3,2,1] => 3
[7,3,1,1,1] => [3,1,1,1] => 1
[7,2,2,2] => [2,2,2] => 1
[7,2,2,1,1] => [2,2,1,1] => 1
[7,2,1,1,1,1] => [2,1,1,1,1] => 1
[7,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[6,6,1] => [6,1] => 6
[6,5,2] => [5,2] => 4
[6,5,1,1] => [5,1,1] => 4
[6,4,3] => [4,3] => 3
[6,4,2,1] => [4,2,1] => 5
[6,4,1,1,1] => [4,1,1,1] => 2
[6,3,3,1] => [3,3,1] => 2
[6,3,2,2] => [3,2,2] => 2
[6,3,2,1,1] => [3,2,1,1] => 3
[6,3,1,1,1,1] => [3,1,1,1,1] => 1
[6,2,2,2,1] => [2,2,2,1] => 1
[6,2,2,1,1,1] => [2,2,1,1,1] => 1
[6,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[6,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[5,5,3] => [5,3] => 6
[5,5,2,1] => [5,2,1] => 9
[5,5,1,1,1] => [5,1,1,1] => 4
[5,4,4] => [4,4] => 3
[5,4,3,1] => [4,3,1] => 8
[5,4,2,2] => [4,2,2] => 3
[5,4,2,1,1] => [4,2,1,1] => 6
[5,4,1,1,1,1] => [4,1,1,1,1] => 2
[5,3,3,2] => [3,3,2] => 3
[5,3,3,1,1] => [3,3,1,1] => 3
[5,3,2,2,1] => [3,2,2,1] => 4
[5,3,2,1,1,1] => [3,2,1,1,1] => 3
[5,3,1,1,1,1,1] => [3,1,1,1,1,1] => 1
[5,2,2,2,2] => [2,2,2,2] => 1
[5,2,2,2,1,1] => [2,2,2,1,1] => 1
[5,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[5,2,1,1,1,1,1,1] => [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
[4,4,4,1] => [4,4,1] => 7
[4,4,3,2] => [4,3,2] => 10
[4,4,3,1,1] => [4,3,1,1] => 10
[4,4,2,2,1] => [4,2,2,1] => 8
[4,4,2,1,1,1] => [4,2,1,1,1] => 6
[4,4,1,1,1,1,1] => [4,1,1,1,1,1] => 2
[4,3,3,3] => [3,3,3] => 2
[4,3,3,2,1] => [3,3,2,1] => 7
[4,3,3,1,1,1] => [3,3,1,1,1] => 3
[4,3,2,2,2] => [3,2,2,2] => 2
[4,3,2,2,1,1] => [3,2,2,1,1] => 5
[4,3,2,1,1,1,1] => [3,2,1,1,1,1] => 3
[4,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 1
[4,2,2,2,2,1] => [2,2,2,2,1] => 1
[4,2,2,2,1,1,1] => [2,2,2,1,1,1] => 1
[4,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 1
[4,2,1,1,1,1,1,1,1] => [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
[3,3,3,3,1] => [3,3,3,1] => 5
[3,3,3,2,2] => [3,3,2,2] => 6
[3,3,3,2,1,1] => [3,3,2,1,1] => 12
[3,3,3,1,1,1,1] => [3,3,1,1,1,1] => 3
[3,3,2,2,2,1] => [3,2,2,2,1] => 6
[3,3,2,2,1,1,1] => [3,2,2,1,1,1] => 5
[3,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 3
[3,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 1
[3,2,2,2,2,2] => [2,2,2,2,2] => 1
[3,2,2,2,2,1,1] => [2,2,2,2,1,1] => 1
[3,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => 1
[3,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 1
[3,2,1,1,1,1,1,1,1,1] => [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
[2,2,2,2,2,2,1] => [2,2,2,2,2,1] => 1
[2,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] => 1
[2,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] => 1
[2,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] => 1
[2,2,1,1,1,1,1,1,1,1,1] => [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
[13,1] => [1] => 1
[12,2] => [2] => 1
[12,1,1] => [1,1] => 1
[11,3] => [3] => 1
[11,2,1] => [2,1] => 1
[11,1,1,1] => [1,1,1] => 1
[10,4] => [4] => 1
[10,3,1] => [3,1] => 1
[10,2,2] => [2,2] => 1
[10,2,1,1] => [2,1,1] => 1
[10,1,1,1,1] => [1,1,1,1] => 1
[9,5] => [5] => 1
[9,4,1] => [4,1] => 2
[9,3,2] => [3,2] => 1
[9,3,1,1] => [3,1,1] => 1
[9,2,2,1] => [2,2,1] => 1
[9,2,1,1,1] => [2,1,1,1] => 1
[9,1,1,1,1,1] => [1,1,1,1,1] => 1
[8,6] => [6] => 3
[8,5,1] => [5,1] => 3
[8,4,2] => [4,2] => 2
[8,4,1,1] => [4,1,1] => 2
[8,3,3] => [3,3] => 1
[8,3,2,1] => [3,2,1] => 3
[8,3,1,1,1] => [3,1,1,1] => 1
[8,2,2,2] => [2,2,2] => 1
[8,2,2,1,1] => [2,2,1,1] => 1
[8,2,1,1,1,1] => [2,1,1,1,1] => 1
[8,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[7,7] => [7] => 5
[7,6,1] => [6,1] => 6
[7,5,2] => [5,2] => 4
[7,5,1,1] => [5,1,1] => 4
[7,4,3] => [4,3] => 3
[7,4,2,1] => [4,2,1] => 5
[7,4,1,1,1] => [4,1,1,1] => 2
[7,3,3,1] => [3,3,1] => 2
[7,3,2,2] => [3,2,2] => 2
[7,3,2,1,1] => [3,2,1,1] => 3
[7,3,1,1,1,1] => [3,1,1,1,1] => 1
[7,2,2,2,1] => [2,2,2,1] => 1
[7,2,2,1,1,1] => [2,2,1,1,1] => 1
[7,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[7,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[6,6,2] => [6,2] => 7
[6,6,1,1] => [6,1,1] => 8
[6,5,3] => [5,3] => 6
[6,5,2,1] => [5,2,1] => 9
[6,5,1,1,1] => [5,1,1,1] => 4
[6,4,4] => [4,4] => 3
[6,4,3,1] => [4,3,1] => 8
[6,4,2,2] => [4,2,2] => 3
[6,4,2,1,1] => [4,2,1,1] => 6
[6,4,1,1,1,1] => [4,1,1,1,1] => 2
[6,3,3,2] => [3,3,2] => 3
[6,3,3,1,1] => [3,3,1,1] => 3
[6,3,2,2,1] => [3,2,2,1] => 4
[6,3,2,1,1,1] => [3,2,1,1,1] => 3
[6,3,1,1,1,1,1] => [3,1,1,1,1,1] => 1
[6,2,2,2,2] => [2,2,2,2] => 1
[6,2,2,2,1,1] => [2,2,2,1,1] => 1
[6,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[6,2,1,1,1,1,1,1] => [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
[5,5,4] => [5,4] => 11
[5,5,3,1] => [5,3,1] => 15
[5,5,2,2] => [5,2,2] => 6
[5,5,2,1,1] => [5,2,1,1] => 11
[5,5,1,1,1,1] => [5,1,1,1,1] => 4
[5,4,4,1] => [4,4,1] => 7
[5,4,3,2] => [4,3,2] => 10
[5,4,3,1,1] => [4,3,1,1] => 10
[5,4,2,2,1] => [4,2,2,1] => 8
[5,4,2,1,1,1] => [4,2,1,1,1] => 6
[5,4,1,1,1,1,1] => [4,1,1,1,1,1] => 2
[5,3,3,3] => [3,3,3] => 2
[5,3,3,2,1] => [3,3,2,1] => 7
[5,3,3,1,1,1] => [3,3,1,1,1] => 3
[5,3,2,2,2] => [3,2,2,2] => 2
[5,3,2,2,1,1] => [3,2,2,1,1] => 5
[5,3,2,1,1,1,1] => [3,2,1,1,1,1] => 3
[5,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 1
[5,2,2,2,2,1] => [2,2,2,2,1] => 1
[5,2,2,2,1,1,1] => [2,2,2,1,1,1] => 1
[5,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 1
[5,2,1,1,1,1,1,1,1] => [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
[4,4,4,2] => [4,4,2] => 12
[4,4,4,1,1] => [4,4,1,1] => 12
[4,4,3,3] => [4,3,3] => 12
[4,4,3,2,1] => [4,3,2,1] => 34
[4,4,3,1,1,1] => [4,3,1,1,1] => 11
[4,4,2,2,2] => [4,2,2,2] => 4
[4,4,2,2,1,1] => [4,2,2,1,1] => 12
[4,4,2,1,1,1,1] => [4,2,1,1,1,1] => 6
[4,4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 2
[4,3,3,3,1] => [3,3,3,1] => 5
[4,3,3,2,2] => [3,3,2,2] => 6
[4,3,3,2,1,1] => [3,3,2,1,1] => 12
[4,3,3,1,1,1,1] => [3,3,1,1,1,1] => 3
[4,3,2,2,2,1] => [3,2,2,2,1] => 6
[4,3,2,2,1,1,1] => [3,2,2,1,1,1] => 5
[4,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 3
[4,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 1
[4,2,2,2,2,2] => [2,2,2,2,2] => 1
[4,2,2,2,2,1,1] => [2,2,2,2,1,1] => 1
[4,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => 1
[4,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 1
[4,2,1,1,1,1,1,1,1,1] => [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
[3,3,3,3,2] => [3,3,3,2] => 8
[3,3,3,3,1,1] => [3,3,3,1,1] => 8
[3,3,3,2,2,1] => [3,3,2,2,1] => 19
[3,3,3,2,1,1,1] => [3,3,2,1,1,1] => 13
[3,3,3,1,1,1,1,1] => [3,3,1,1,1,1,1] => 3
[3,3,2,2,2,2] => [3,2,2,2,2] => 2
[3,3,2,2,2,1,1] => [3,2,2,2,1,1] => 9
[3,3,2,2,1,1,1,1] => [3,2,2,1,1,1,1] => 5
[3,3,2,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1] => 3
[3,3,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1] => 1
[3,2,2,2,2,2,1] => [2,2,2,2,2,1] => 1
[3,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] => 1
[3,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] => 1
[3,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] => 1
[3,2,1,1,1,1,1,1,1,1,1] => [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
[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] => 1
[2,2,2,2,2,1,1,1,1] => [2,2,2,2,1,1,1,1] => 1
[2,2,2,2,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1] => 1
[2,2,2,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => 1
[2,2,1,1,1,1,1,1,1,1,1,1] => [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
[14,1] => [1] => 1
[13,2] => [2] => 1
[13,1,1] => [1,1] => 1
[12,3] => [3] => 1
[12,2,1] => [2,1] => 1
[12,1,1,1] => [1,1,1] => 1
[11,4] => [4] => 1
[11,3,1] => [3,1] => 1
[11,2,2] => [2,2] => 1
[11,2,1,1] => [2,1,1] => 1
[11,1,1,1,1] => [1,1,1,1] => 1
[10,5] => [5] => 1
[10,4,1] => [4,1] => 2
[10,3,2] => [3,2] => 1
[10,3,1,1] => [3,1,1] => 1
[10,2,2,1] => [2,2,1] => 1
[10,2,1,1,1] => [2,1,1,1] => 1
[10,1,1,1,1,1] => [1,1,1,1,1] => 1
[9,6] => [6] => 3
[9,5,1] => [5,1] => 3
[9,4,2] => [4,2] => 2
[9,4,1,1] => [4,1,1] => 2
[9,3,3] => [3,3] => 1
[9,3,2,1] => [3,2,1] => 3
[9,3,1,1,1] => [3,1,1,1] => 1
[9,2,2,2] => [2,2,2] => 1
[9,2,2,1,1] => [2,2,1,1] => 1
[9,2,1,1,1,1] => [2,1,1,1,1] => 1
[9,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[8,7] => [7] => 5
[8,6,1] => [6,1] => 6
[8,5,2] => [5,2] => 4
[8,5,1,1] => [5,1,1] => 4
[8,4,3] => [4,3] => 3
[8,4,2,1] => [4,2,1] => 5
[8,4,1,1,1] => [4,1,1,1] => 2
[8,3,3,1] => [3,3,1] => 2
[8,3,2,2] => [3,2,2] => 2
[8,3,2,1,1] => [3,2,1,1] => 3
[8,3,1,1,1,1] => [3,1,1,1,1] => 1
[8,2,2,2,1] => [2,2,2,1] => 1
[8,2,2,1,1,1] => [2,2,1,1,1] => 1
[8,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[8,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[7,7,1] => [7,1] => 13
[7,6,2] => [6,2] => 7
[7,6,1,1] => [6,1,1] => 8
[7,5,3] => [5,3] => 6
[7,5,2,1] => [5,2,1] => 9
[7,5,1,1,1] => [5,1,1,1] => 4
[7,4,4] => [4,4] => 3
[7,4,3,1] => [4,3,1] => 8
[7,4,2,2] => [4,2,2] => 3
[7,4,2,1,1] => [4,2,1,1] => 6
[7,4,1,1,1,1] => [4,1,1,1,1] => 2
[7,3,3,2] => [3,3,2] => 3
[7,3,3,1,1] => [3,3,1,1] => 3
[7,3,2,2,1] => [3,2,2,1] => 4
[7,3,2,1,1,1] => [3,2,1,1,1] => 3
[7,3,1,1,1,1,1] => [3,1,1,1,1,1] => 1
[7,2,2,2,2] => [2,2,2,2] => 1
[7,2,2,2,1,1] => [2,2,2,1,1] => 1
[7,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[7,2,1,1,1,1,1,1] => [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
[6,6,3] => [6,3] => 13
[6,6,2,1] => [6,2,1] => 18
[6,6,1,1,1] => [6,1,1,1] => 8
[6,5,4] => [5,4] => 11
[6,5,3,1] => [5,3,1] => 15
[6,5,2,2] => [5,2,2] => 6
[6,5,2,1,1] => [5,2,1,1] => 11
[6,5,1,1,1,1] => [5,1,1,1,1] => 4
[6,4,4,1] => [4,4,1] => 7
[6,4,3,2] => [4,3,2] => 10
[6,4,3,1,1] => [4,3,1,1] => 10
[6,4,2,2,1] => [4,2,2,1] => 8
[6,4,2,1,1,1] => [4,2,1,1,1] => 6
[6,4,1,1,1,1,1] => [4,1,1,1,1,1] => 2
[6,3,3,3] => [3,3,3] => 2
[6,3,3,2,1] => [3,3,2,1] => 7
[6,3,3,1,1,1] => [3,3,1,1,1] => 3
[6,3,2,2,2] => [3,2,2,2] => 2
[6,3,2,2,1,1] => [3,2,2,1,1] => 5
[6,3,2,1,1,1,1] => [3,2,1,1,1,1] => 3
[6,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 1
[6,2,2,2,2,1] => [2,2,2,2,1] => 1
[6,2,2,2,1,1,1] => [2,2,2,1,1,1] => 1
[6,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 1
[6,2,1,1,1,1,1,1,1] => [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
[5,5,5] => [5,5] => 15
[5,5,4,1] => [5,4,1] => 38
[5,5,3,2] => [5,3,2] => 27
[5,5,3,1,1] => [5,3,1,1] => 27
[5,5,2,2,1] => [5,2,2,1] => 19
[5,5,2,1,1,1] => [5,2,1,1,1] => 12
[5,5,1,1,1,1,1] => [5,1,1,1,1,1] => 4
[5,4,4,2] => [4,4,2] => 12
[5,4,4,1,1] => [4,4,1,1] => 12
[5,4,3,3] => [4,3,3] => 12
[5,4,3,2,1] => [4,3,2,1] => 34
[5,4,3,1,1,1] => [4,3,1,1,1] => 11
[5,4,2,2,2] => [4,2,2,2] => 4
[5,4,2,2,1,1] => [4,2,2,1,1] => 12
[5,4,2,1,1,1,1] => [4,2,1,1,1,1] => 6
[5,4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 2
[5,3,3,3,1] => [3,3,3,1] => 5
[5,3,3,2,2] => [3,3,2,2] => 6
[5,3,3,2,1,1] => [3,3,2,1,1] => 12
[5,3,3,1,1,1,1] => [3,3,1,1,1,1] => 3
[5,3,2,2,2,1] => [3,2,2,2,1] => 6
[5,3,2,2,1,1,1] => [3,2,2,1,1,1] => 5
[5,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 3
[5,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 1
[5,2,2,2,2,2] => [2,2,2,2,2] => 1
[5,2,2,2,2,1,1] => [2,2,2,2,1,1] => 1
[5,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => 1
[5,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 1
[5,2,1,1,1,1,1,1,1,1] => [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
[4,4,4,3] => [4,4,3] => 25
[4,4,4,2,1] => [4,4,2,1] => 39
[4,4,4,1,1,1] => [4,4,1,1,1] => 14
[4,4,3,3,1] => [4,3,3,1] => 34
[4,4,3,2,2] => [4,3,2,2] => 28
[4,4,3,2,1,1] => [4,3,2,1,1] => 50
[4,4,3,1,1,1,1] => [4,3,1,1,1,1] => 11
[4,4,2,2,2,1] => [4,2,2,2,1] => 14
[4,4,2,2,1,1,1] => [4,2,2,1,1,1] => 13
[4,4,2,1,1,1,1,1] => [4,2,1,1,1,1,1] => 6
[4,4,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1] => 2
[4,3,3,3,2] => [3,3,3,2] => 8
[4,3,3,3,1,1] => [3,3,3,1,1] => 8
[4,3,3,2,2,1] => [3,3,2,2,1] => 19
[4,3,3,2,1,1,1] => [3,3,2,1,1,1] => 13
[4,3,3,1,1,1,1,1] => [3,3,1,1,1,1,1] => 3
[4,3,2,2,2,2] => [3,2,2,2,2] => 2
[4,3,2,2,2,1,1] => [3,2,2,2,1,1] => 9
[4,3,2,2,1,1,1,1] => [3,2,2,1,1,1,1] => 5
[4,3,2,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1] => 3
[4,3,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1] => 1
[4,2,2,2,2,2,1] => [2,2,2,2,2,1] => 1
[4,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] => 1
[4,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] => 1
[4,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] => 1
[4,2,1,1,1,1,1,1,1,1,1] => [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
[3,3,3,3,3] => [3,3,3,3] => 4
[3,3,3,3,2,1] => [3,3,3,2,1] => 24
[3,3,3,3,1,1,1] => [3,3,3,1,1,1] => 8
[3,3,3,2,2,2] => [3,3,2,2,2] => 9
[3,3,3,2,2,1,1] => [3,3,2,2,1,1] => 27
[3,3,3,2,1,1,1,1] => [3,3,2,1,1,1,1] => 13
[3,3,3,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1] => 3
[3,3,2,2,2,2,1] => [3,2,2,2,2,1] => 7
[3,3,2,2,2,1,1,1] => [3,2,2,2,1,1,1] => 9
[3,3,2,2,1,1,1,1,1] => [3,2,2,1,1,1,1,1] => 5
[3,3,2,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1] => 3
[3,3,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1] => 1
[3,2,2,2,2,2,2] => [2,2,2,2,2,2] => 1
[3,2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] => 1
[3,2,2,2,2,1,1,1,1] => [2,2,2,2,1,1,1,1] => 1
[3,2,2,2,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1] => 1
[3,2,2,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => 1
[3,2,1,1,1,1,1,1,1,1,1,1] => [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
[2,2,2,2,2,2,2,1] => [2,2,2,2,2,2,1] => 1
[2,2,2,2,2,2,1,1,1] => [2,2,2,2,2,1,1,1] => 1
[2,2,2,2,2,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1] => 1
[2,2,2,2,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1] => 1
[2,2,2,1,1,1,1,1,1,1,1,1] => [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] => [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
[15,1] => [1] => 1
[14,2] => [2] => 1
[14,1,1] => [1,1] => 1
[13,3] => [3] => 1
[13,2,1] => [2,1] => 1
[13,1,1,1] => [1,1,1] => 1
[12,4] => [4] => 1
[12,3,1] => [3,1] => 1
[12,2,2] => [2,2] => 1
[12,2,1,1] => [2,1,1] => 1
[12,1,1,1,1] => [1,1,1,1] => 1
[11,5] => [5] => 1
[11,4,1] => [4,1] => 2
[11,3,2] => [3,2] => 1
[11,3,1,1] => [3,1,1] => 1
[11,2,2,1] => [2,2,1] => 1
[11,2,1,1,1] => [2,1,1,1] => 1
[11,1,1,1,1,1] => [1,1,1,1,1] => 1
[10,6] => [6] => 3
[10,5,1] => [5,1] => 3
[10,4,2] => [4,2] => 2
[10,4,1,1] => [4,1,1] => 2
[10,3,3] => [3,3] => 1
[10,3,2,1] => [3,2,1] => 3
[10,3,1,1,1] => [3,1,1,1] => 1
[10,2,2,2] => [2,2,2] => 1
[10,2,2,1,1] => [2,2,1,1] => 1
[10,2,1,1,1,1] => [2,1,1,1,1] => 1
[10,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[9,7] => [7] => 5
[9,6,1] => [6,1] => 6
[9,5,2] => [5,2] => 4
[9,5,1,1] => [5,1,1] => 4
[9,4,3] => [4,3] => 3
[9,4,2,1] => [4,2,1] => 5
[9,4,1,1,1] => [4,1,1,1] => 2
[9,3,3,1] => [3,3,1] => 2
[9,3,2,2] => [3,2,2] => 2
[9,3,2,1,1] => [3,2,1,1] => 3
[9,3,1,1,1,1] => [3,1,1,1,1] => 1
[9,2,2,2,1] => [2,2,2,1] => 1
[9,2,2,1,1,1] => [2,2,1,1,1] => 1
[9,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[9,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[8,8] => [8] => 12
[8,7,1] => [7,1] => 13
[8,6,2] => [6,2] => 7
[8,6,1,1] => [6,1,1] => 8
[8,5,3] => [5,3] => 6
[8,5,2,1] => [5,2,1] => 9
[8,5,1,1,1] => [5,1,1,1] => 4
[8,4,4] => [4,4] => 3
[8,4,3,1] => [4,3,1] => 8
[8,4,2,2] => [4,2,2] => 3
[8,4,2,1,1] => [4,2,1,1] => 6
[8,4,1,1,1,1] => [4,1,1,1,1] => 2
[8,3,3,2] => [3,3,2] => 3
[8,3,3,1,1] => [3,3,1,1] => 3
[8,3,2,2,1] => [3,2,2,1] => 4
[8,3,2,1,1,1] => [3,2,1,1,1] => 3
[8,3,1,1,1,1,1] => [3,1,1,1,1,1] => 1
[8,2,2,2,2] => [2,2,2,2] => 1
[8,2,2,2,1,1] => [2,2,2,1,1] => 1
[8,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[8,2,1,1,1,1,1,1] => [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
[7,7,2] => [7,2] => 16
[7,7,1,1] => [7,1,1] => 16
[7,6,3] => [6,3] => 13
[7,6,2,1] => [6,2,1] => 18
[7,6,1,1,1] => [6,1,1,1] => 8
[7,5,4] => [5,4] => 11
[7,5,3,1] => [5,3,1] => 15
[7,5,2,2] => [5,2,2] => 6
[7,5,2,1,1] => [5,2,1,1] => 11
[7,5,1,1,1,1] => [5,1,1,1,1] => 4
[7,4,4,1] => [4,4,1] => 7
[7,4,3,2] => [4,3,2] => 10
[7,4,3,1,1] => [4,3,1,1] => 10
[7,4,2,2,1] => [4,2,2,1] => 8
[7,4,2,1,1,1] => [4,2,1,1,1] => 6
[7,4,1,1,1,1,1] => [4,1,1,1,1,1] => 2
[7,3,3,3] => [3,3,3] => 2
[7,3,3,2,1] => [3,3,2,1] => 7
[7,3,3,1,1,1] => [3,3,1,1,1] => 3
[7,3,2,2,2] => [3,2,2,2] => 2
[7,3,2,2,1,1] => [3,2,2,1,1] => 5
[7,3,2,1,1,1,1] => [3,2,1,1,1,1] => 3
[7,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 1
[7,2,2,2,2,1] => [2,2,2,2,1] => 1
[7,2,2,2,1,1,1] => [2,2,2,1,1,1] => 1
[7,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 1
[7,2,1,1,1,1,1,1,1] => [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
[6,6,4] => [6,4] => 32
[6,6,3,1] => [6,3,1] => 45
[6,6,2,2] => [6,2,2] => 16
[6,6,2,1,1] => [6,2,1,1] => 32
[6,6,1,1,1,1] => [6,1,1,1,1] => 8
[6,5,5] => [5,5] => 15
[6,5,4,1] => [5,4,1] => 38
[6,5,3,2] => [5,3,2] => 27
[6,5,3,1,1] => [5,3,1,1] => 27
[6,5,2,2,1] => [5,2,2,1] => 19
[6,5,2,1,1,1] => [5,2,1,1,1] => 12
[6,5,1,1,1,1,1] => [5,1,1,1,1,1] => 4
[6,4,4,2] => [4,4,2] => 12
[6,4,4,1,1] => [4,4,1,1] => 12
[6,4,3,3] => [4,3,3] => 12
[6,4,3,2,1] => [4,3,2,1] => 34
[6,4,3,1,1,1] => [4,3,1,1,1] => 11
[6,4,2,2,2] => [4,2,2,2] => 4
[6,4,2,2,1,1] => [4,2,2,1,1] => 12
[6,4,2,1,1,1,1] => [4,2,1,1,1,1] => 6
[6,4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 2
[6,3,3,3,1] => [3,3,3,1] => 5
[6,3,3,2,2] => [3,3,2,2] => 6
[6,3,3,2,1,1] => [3,3,2,1,1] => 12
[6,3,3,1,1,1,1] => [3,3,1,1,1,1] => 3
[6,3,2,2,2,1] => [3,2,2,2,1] => 6
[6,3,2,2,1,1,1] => [3,2,2,1,1,1] => 5
[6,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 3
[6,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 1
[6,2,2,2,2,2] => [2,2,2,2,2] => 1
[6,2,2,2,2,1,1] => [2,2,2,2,1,1] => 1
[6,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => 1
[6,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 1
[6,2,1,1,1,1,1,1,1,1] => [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
[5,5,5,1] => [5,5,1] => 46
[5,5,4,2] => [5,4,2] => 62
[5,5,4,1,1] => [5,4,1,1] => 62
[5,5,3,3] => [5,3,3] => 27
[5,5,3,2,1] => [5,3,2,1] => 85
[5,5,3,1,1,1] => [5,3,1,1,1] => 31
[5,5,2,2,2] => [5,2,2,2] => 11
[5,5,2,2,1,1] => [5,2,2,1,1] => 30
[5,5,2,1,1,1,1] => [5,2,1,1,1,1] => 12
[5,5,1,1,1,1,1,1] => [5,1,1,1,1,1,1] => 4
[5,4,4,3] => [4,4,3] => 25
[5,4,4,2,1] => [4,4,2,1] => 39
[5,4,4,1,1,1] => [4,4,1,1,1] => 14
[5,4,3,3,1] => [4,3,3,1] => 34
[5,4,3,2,2] => [4,3,2,2] => 28
[5,4,3,2,1,1] => [4,3,2,1,1] => 50
[5,4,3,1,1,1,1] => [4,3,1,1,1,1] => 11
[5,4,2,2,2,1] => [4,2,2,2,1] => 14
[5,4,2,2,1,1,1] => [4,2,2,1,1,1] => 13
[5,4,2,1,1,1,1,1] => [4,2,1,1,1,1,1] => 6
[5,4,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1] => 2
[5,3,3,3,2] => [3,3,3,2] => 8
[5,3,3,3,1,1] => [3,3,3,1,1] => 8
[5,3,3,2,2,1] => [3,3,2,2,1] => 19
[5,3,3,2,1,1,1] => [3,3,2,1,1,1] => 13
[5,3,3,1,1,1,1,1] => [3,3,1,1,1,1,1] => 3
[5,3,2,2,2,2] => [3,2,2,2,2] => 2
[5,3,2,2,2,1,1] => [3,2,2,2,1,1] => 9
[5,3,2,2,1,1,1,1] => [3,2,2,1,1,1,1] => 5
[5,3,2,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1] => 3
[5,3,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1] => 1
[5,2,2,2,2,2,1] => [2,2,2,2,2,1] => 1
[5,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] => 1
[5,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] => 1
[5,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] => 1
[5,2,1,1,1,1,1,1,1,1,1] => [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
[4,4,4,4] => [4,4,4] => 20
[4,4,4,3,1] => [4,4,3,1] => 84
[4,4,4,2,2] => [4,4,2,2] => 31
[4,4,4,2,1,1] => [4,4,2,1,1] => 62
[4,4,4,1,1,1,1] => [4,4,1,1,1,1] => 14
[4,4,3,3,2] => [4,3,3,2] => 56
[4,4,3,3,1,1] => [4,3,3,1,1] => 55
[4,4,3,2,2,1] => [4,3,2,2,1] => 78
[4,4,3,2,1,1,1] => [4,3,2,1,1,1] => 57
[4,4,3,1,1,1,1,1] => [4,3,1,1,1,1,1] => 11
[4,4,2,2,2,2] => [4,2,2,2,2] => 5
[4,4,2,2,2,1,1] => [4,2,2,2,1,1] => 19
[4,4,2,2,1,1,1,1] => [4,2,2,1,1,1,1] => 13
[4,4,2,1,1,1,1,1,1] => [4,2,1,1,1,1,1,1] => 6
[4,4,1,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1,1] => 2
[4,3,3,3,3] => [3,3,3,3] => 4
[4,3,3,3,2,1] => [3,3,3,2,1] => 24
[4,3,3,3,1,1,1] => [3,3,3,1,1,1] => 8
[4,3,3,2,2,2] => [3,3,2,2,2] => 9
[4,3,3,2,2,1,1] => [3,3,2,2,1,1] => 27
[4,3,3,2,1,1,1,1] => [3,3,2,1,1,1,1] => 13
[4,3,3,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1] => 3
[4,3,2,2,2,2,1] => [3,2,2,2,2,1] => 7
[4,3,2,2,2,1,1,1] => [3,2,2,2,1,1,1] => 9
[4,3,2,2,1,1,1,1,1] => [3,2,2,1,1,1,1,1] => 5
[4,3,2,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1] => 3
[4,3,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1] => 1
[4,2,2,2,2,2,2] => [2,2,2,2,2,2] => 1
[4,2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] => 1
[4,2,2,2,2,1,1,1,1] => [2,2,2,2,1,1,1,1] => 1
[4,2,2,2,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1] => 1
[4,2,2,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => 1
[4,2,1,1,1,1,1,1,1,1,1,1] => [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
[3,3,3,3,3,1] => [3,3,3,3,1] => 12
[3,3,3,3,2,2] => [3,3,3,2,2] => 18
[3,3,3,3,2,1,1] => [3,3,3,2,1,1] => 37
[3,3,3,3,1,1,1,1] => [3,3,3,1,1,1,1] => 8
[3,3,3,2,2,2,1] => [3,3,2,2,2,1] => 29
[3,3,3,2,2,1,1,1] => [3,3,2,2,1,1,1] => 27
[3,3,3,2,1,1,1,1,1] => [3,3,2,1,1,1,1,1] => 13
[3,3,3,1,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1,1] => 3
[3,3,2,2,2,2,2] => [3,2,2,2,2,2] => 3
[3,3,2,2,2,2,1,1] => [3,2,2,2,2,1,1] => 10
[3,3,2,2,2,1,1,1,1] => [3,2,2,2,1,1,1,1] => 9
[3,3,2,2,1,1,1,1,1,1] => [3,2,2,1,1,1,1,1,1] => 5
[3,3,2,1,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1,1] => 3
[3,3,1,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1,1] => 1
[3,2,2,2,2,2,2,1] => [2,2,2,2,2,2,1] => 1
[3,2,2,2,2,2,1,1,1] => [2,2,2,2,2,1,1,1] => 1
[3,2,2,2,2,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1] => 1
[3,2,2,2,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1] => 1
[3,2,2,1,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1,1] => 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
[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
[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] => 1
[2,2,2,2,2,2,1,1,1,1] => [2,2,2,2,2,1,1,1,1] => 1
[2,2,2,2,2,1,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1,1] => 1
[2,2,2,2,1,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1,1] => 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] => 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
[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
[16,1] => [1] => 1
[15,2] => [2] => 1
[15,1,1] => [1,1] => 1
[14,3] => [3] => 1
[14,2,1] => [2,1] => 1
[14,1,1,1] => [1,1,1] => 1
[13,4] => [4] => 1
[13,3,1] => [3,1] => 1
[13,2,2] => [2,2] => 1
[13,2,1,1] => [2,1,1] => 1
[13,1,1,1,1] => [1,1,1,1] => 1
[12,5] => [5] => 1
[12,4,1] => [4,1] => 2
[12,3,2] => [3,2] => 1
[12,3,1,1] => [3,1,1] => 1
[12,2,2,1] => [2,2,1] => 1
[12,2,1,1,1] => [2,1,1,1] => 1
[12,1,1,1,1,1] => [1,1,1,1,1] => 1
[11,6] => [6] => 3
[11,5,1] => [5,1] => 3
[11,4,2] => [4,2] => 2
[11,4,1,1] => [4,1,1] => 2
[11,3,3] => [3,3] => 1
[11,3,2,1] => [3,2,1] => 3
[11,3,1,1,1] => [3,1,1,1] => 1
[11,2,2,2] => [2,2,2] => 1
[11,2,2,1,1] => [2,2,1,1] => 1
[11,2,1,1,1,1] => [2,1,1,1,1] => 1
[11,1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[10,7] => [7] => 5
[10,6,1] => [6,1] => 6
[10,5,2] => [5,2] => 4
[10,5,1,1] => [5,1,1] => 4
[10,4,3] => [4,3] => 3
[10,4,2,1] => [4,2,1] => 5
[10,4,1,1,1] => [4,1,1,1] => 2
[10,3,3,1] => [3,3,1] => 2
[10,3,2,2] => [3,2,2] => 2
[10,3,2,1,1] => [3,2,1,1] => 3
[10,3,1,1,1,1] => [3,1,1,1,1] => 1
[10,2,2,2,1] => [2,2,2,1] => 1
[10,2,2,1,1,1] => [2,2,1,1,1] => 1
[10,2,1,1,1,1,1] => [2,1,1,1,1,1] => 1
[10,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[9,8] => [8] => 12
[9,7,1] => [7,1] => 13
[9,6,2] => [6,2] => 7
[9,6,1,1] => [6,1,1] => 8
[9,5,3] => [5,3] => 6
[9,5,2,1] => [5,2,1] => 9
[9,5,1,1,1] => [5,1,1,1] => 4
[9,4,4] => [4,4] => 3
[9,4,3,1] => [4,3,1] => 8
[9,4,2,2] => [4,2,2] => 3
[9,4,2,1,1] => [4,2,1,1] => 6
[9,4,1,1,1,1] => [4,1,1,1,1] => 2
[9,3,3,2] => [3,3,2] => 3
[9,3,3,1,1] => [3,3,1,1] => 3
[9,3,2,2,1] => [3,2,2,1] => 4
[9,3,2,1,1,1] => [3,2,1,1,1] => 3
[9,3,1,1,1,1,1] => [3,1,1,1,1,1] => 1
[9,2,2,2,2] => [2,2,2,2] => 1
[9,2,2,2,1,1] => [2,2,2,1,1] => 1
[9,2,2,1,1,1,1] => [2,2,1,1,1,1] => 1
[9,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 1
[9,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[8,8,1] => [8,1] => 27
[8,7,2] => [7,2] => 16
[8,7,1,1] => [7,1,1] => 16
[8,6,3] => [6,3] => 13
[8,6,2,1] => [6,2,1] => 18
[8,6,1,1,1] => [6,1,1,1] => 8
[8,5,4] => [5,4] => 11
[8,5,3,1] => [5,3,1] => 15
[8,5,2,2] => [5,2,2] => 6
[8,5,2,1,1] => [5,2,1,1] => 11
[8,5,1,1,1,1] => [5,1,1,1,1] => 4
[8,4,4,1] => [4,4,1] => 7
[8,4,3,2] => [4,3,2] => 10
[8,4,3,1,1] => [4,3,1,1] => 10
[8,4,2,2,1] => [4,2,2,1] => 8
[8,4,2,1,1,1] => [4,2,1,1,1] => 6
[8,4,1,1,1,1,1] => [4,1,1,1,1,1] => 2
[8,3,3,3] => [3,3,3] => 2
[8,3,3,2,1] => [3,3,2,1] => 7
[8,3,3,1,1,1] => [3,3,1,1,1] => 3
[8,3,2,2,2] => [3,2,2,2] => 2
[8,3,2,2,1,1] => [3,2,2,1,1] => 5
[8,3,2,1,1,1,1] => [3,2,1,1,1,1] => 3
[8,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 1
[8,2,2,2,2,1] => [2,2,2,2,1] => 1
[8,2,2,2,1,1,1] => [2,2,2,1,1,1] => 1
[8,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 1
[8,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 1
[8,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 1
[7,7,3] => [7,3] => 39
[7,7,2,1] => [7,2,1] => 55
[7,7,1,1,1] => [7,1,1,1] => 18
[7,6,4] => [6,4] => 32
[7,6,3,1] => [6,3,1] => 45
[7,6,2,2] => [6,2,2] => 16
[7,6,2,1,1] => [6,2,1,1] => 32
[7,6,1,1,1,1] => [6,1,1,1,1] => 8
[7,5,5] => [5,5] => 15
[7,5,4,1] => [5,4,1] => 38
[7,5,3,2] => [5,3,2] => 27
[7,5,3,1,1] => [5,3,1,1] => 27
[7,5,2,2,1] => [5,2,2,1] => 19
[7,5,2,1,1,1] => [5,2,1,1,1] => 12
[7,5,1,1,1,1,1] => [5,1,1,1,1,1] => 4
[7,4,4,2] => [4,4,2] => 12
[7,4,4,1,1] => [4,4,1,1] => 12
[7,4,3,3] => [4,3,3] => 12
[7,4,3,2,1] => [4,3,2,1] => 34
[7,4,3,1,1,1] => [4,3,1,1,1] => 11
[7,4,2,2,2] => [4,2,2,2] => 4
[7,4,2,2,1,1] => [4,2,2,1,1] => 12
[7,4,2,1,1,1,1] => [4,2,1,1,1,1] => 6
[7,4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 2
[7,3,3,3,1] => [3,3,3,1] => 5
[7,3,3,2,2] => [3,3,2,2] => 6
[7,3,3,2,1,1] => [3,3,2,1,1] => 12
[7,3,3,1,1,1,1] => [3,3,1,1,1,1] => 3
[7,3,2,2,2,1] => [3,2,2,2,1] => 6
[7,3,2,2,1,1,1] => [3,2,2,1,1,1] => 5
[7,3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 3
[7,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 1
[7,2,2,2,2,2] => [2,2,2,2,2] => 1
[7,2,2,2,2,1,1] => [2,2,2,2,1,1] => 1
[7,2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => 1
[7,2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 1
[7,2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 1
[7,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => 1
[6,6,5] => [6,5] => 77
[6,6,4,1] => [6,4,1] => 97
[6,6,3,2] => [6,3,2] => 71
[6,6,3,1,1] => [6,3,1,1] => 71
[6,6,2,2,1] => [6,2,2,1] => 54
[6,6,2,1,1,1] => [6,2,1,1,1] => 36
[6,6,1,1,1,1,1] => [6,1,1,1,1,1] => 8
[6,5,5,1] => [5,5,1] => 46
[6,5,4,2] => [5,4,2] => 62
[6,5,4,1,1] => [5,4,1,1] => 62
[6,5,3,3] => [5,3,3] => 27
[6,5,3,2,1] => [5,3,2,1] => 85
[6,5,3,1,1,1] => [5,3,1,1,1] => 31
[6,5,2,2,2] => [5,2,2,2] => 11
[6,5,2,2,1,1] => [5,2,2,1,1] => 30
[6,5,2,1,1,1,1] => [5,2,1,1,1,1] => 12
[6,5,1,1,1,1,1,1] => [5,1,1,1,1,1,1] => 4
[6,4,4,3] => [4,4,3] => 25
[6,4,4,2,1] => [4,4,2,1] => 39
[6,4,4,1,1,1] => [4,4,1,1,1] => 14
[6,4,3,3,1] => [4,3,3,1] => 34
[6,4,3,2,2] => [4,3,2,2] => 28
[6,4,3,2,1,1] => [4,3,2,1,1] => 50
[6,4,3,1,1,1,1] => [4,3,1,1,1,1] => 11
[6,4,2,2,2,1] => [4,2,2,2,1] => 14
[6,4,2,2,1,1,1] => [4,2,2,1,1,1] => 13
[6,4,2,1,1,1,1,1] => [4,2,1,1,1,1,1] => 6
[6,4,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1] => 2
[6,3,3,3,2] => [3,3,3,2] => 8
[6,3,3,3,1,1] => [3,3,3,1,1] => 8
[6,3,3,2,2,1] => [3,3,2,2,1] => 19
[6,3,3,2,1,1,1] => [3,3,2,1,1,1] => 13
[6,3,3,1,1,1,1,1] => [3,3,1,1,1,1,1] => 3
[6,3,2,2,2,2] => [3,2,2,2,2] => 2
[6,3,2,2,2,1,1] => [3,2,2,2,1,1] => 9
[6,3,2,2,1,1,1,1] => [3,2,2,1,1,1,1] => 5
[6,3,2,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1] => 3
[6,3,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1] => 1
[6,2,2,2,2,2,1] => [2,2,2,2,2,1] => 1
[6,2,2,2,2,1,1,1] => [2,2,2,2,1,1,1] => 1
[6,2,2,2,1,1,1,1,1] => [2,2,2,1,1,1,1,1] => 1
[6,2,2,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1] => 1
[6,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => 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
[5,5,5,2] => [5,5,2] => 76
[5,5,5,1,1] => [5,5,1,1] => 78
[5,5,4,3] => [5,4,3] => 132
[5,5,4,2,1] => [5,4,2,1] => 196
[5,5,4,1,1,1] => [5,4,1,1,1] => 67
[5,5,3,3,1] => [5,3,3,1] => 87
[5,5,3,2,2] => [5,3,2,2] => 61
[5,5,3,2,1,1] => [5,3,2,1,1] => 132
[5,5,3,1,1,1,1] => [5,3,1,1,1,1] => 31
[5,5,2,2,2,1] => [5,2,2,2,1] => 32
[5,5,2,2,1,1,1] => [5,2,2,1,1,1] => 33
[5,5,2,1,1,1,1,1] => [5,2,1,1,1,1,1] => 12
[5,5,1,1,1,1,1,1,1] => [5,1,1,1,1,1,1,1] => 4
[5,4,4,4] => [4,4,4] => 20
[5,4,4,3,1] => [4,4,3,1] => 84
[5,4,4,2,2] => [4,4,2,2] => 31
[5,4,4,2,1,1] => [4,4,2,1,1] => 62
[5,4,4,1,1,1,1] => [4,4,1,1,1,1] => 14
[5,4,3,3,2] => [4,3,3,2] => 56
[5,4,3,3,1,1] => [4,3,3,1,1] => 55
[5,4,3,2,2,1] => [4,3,2,2,1] => 78
[5,4,3,2,1,1,1] => [4,3,2,1,1,1] => 57
[5,4,3,1,1,1,1,1] => [4,3,1,1,1,1,1] => 11
[5,4,2,2,2,2] => [4,2,2,2,2] => 5
[5,4,2,2,2,1,1] => [4,2,2,2,1,1] => 19
[5,4,2,2,1,1,1,1] => [4,2,2,1,1,1,1] => 13
[5,4,2,1,1,1,1,1,1] => [4,2,1,1,1,1,1,1] => 6
[5,4,1,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1,1] => 2
[5,3,3,3,3] => [3,3,3,3] => 4
[5,3,3,3,2,1] => [3,3,3,2,1] => 24
[5,3,3,3,1,1,1] => [3,3,3,1,1,1] => 8
[5,3,3,2,2,2] => [3,3,2,2,2] => 9
[5,3,3,2,2,1,1] => [3,3,2,2,1,1] => 27
[5,3,3,2,1,1,1,1] => [3,3,2,1,1,1,1] => 13
[5,3,3,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1] => 3
[5,3,2,2,2,2,1] => [3,2,2,2,2,1] => 7
[5,3,2,2,2,1,1,1] => [3,2,2,2,1,1,1] => 9
[5,3,2,2,1,1,1,1,1] => [3,2,2,1,1,1,1,1] => 5
[5,3,2,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1] => 3
[5,3,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1] => 1
[5,2,2,2,2,2,2] => [2,2,2,2,2,2] => 1
[5,2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] => 1
[5,2,2,2,2,1,1,1,1] => [2,2,2,2,1,1,1,1] => 1
[5,2,2,2,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1] => 1
[5,2,2,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => 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
[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
[4,4,4,4,1] => [4,4,4,1] => 59
[4,4,4,3,2] => [4,4,3,2] => 120
[4,4,4,3,1,1] => [4,4,3,1,1] => 120
[4,4,4,2,2,1] => [4,4,2,2,1] => 90
[4,4,4,2,1,1,1] => [4,4,2,1,1,1] => 67
[4,4,4,1,1,1,1,1] => [4,4,1,1,1,1,1] => 14
[4,4,3,3,3] => [4,3,3,3] => 37
[4,4,3,3,2,1] => [4,3,3,2,1] => 161
[4,4,3,3,1,1,1] => [4,3,3,1,1,1] => 59
[4,4,3,2,2,2] => [4,3,2,2,2] => 43
[4,4,3,2,2,1,1] => [4,3,2,2,1,1] => 116
[4,4,3,2,1,1,1,1] => [4,3,2,1,1,1,1] => 57
[4,4,3,1,1,1,1,1,1] => [4,3,1,1,1,1,1,1] => 11
[4,4,2,2,2,2,1] => [4,2,2,2,2,1] => 17
[4,4,2,2,2,1,1,1] => [4,2,2,2,1,1,1] => 19
[4,4,2,2,1,1,1,1,1] => [4,2,2,1,1,1,1,1] => 13
[4,4,2,1,1,1,1,1,1,1] => [4,2,1,1,1,1,1,1,1] => 6
[4,4,1,1,1,1,1,1,1,1,1] => [4,1,1,1,1,1,1,1,1,1] => 2
[4,3,3,3,3,1] => [3,3,3,3,1] => 12
[4,3,3,3,2,2] => [3,3,3,2,2] => 18
[4,3,3,3,2,1,1] => [3,3,3,2,1,1] => 37
[4,3,3,3,1,1,1,1] => [3,3,3,1,1,1,1] => 8
[4,3,3,2,2,2,1] => [3,3,2,2,2,1] => 29
[4,3,3,2,2,1,1,1] => [3,3,2,2,1,1,1] => 27
[4,3,3,2,1,1,1,1,1] => [3,3,2,1,1,1,1,1] => 13
[4,3,3,1,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1,1] => 3
[4,3,2,2,2,2,2] => [3,2,2,2,2,2] => 3
[4,3,2,2,2,2,1,1] => [3,2,2,2,2,1,1] => 10
[4,3,2,2,2,1,1,1,1] => [3,2,2,2,1,1,1,1] => 9
[4,3,2,2,1,1,1,1,1,1] => [3,2,2,1,1,1,1,1,1] => 5
[4,3,2,1,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1,1] => 3
[4,3,1,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1,1] => 1
[4,2,2,2,2,2,2,1] => [2,2,2,2,2,2,1] => 1
[4,2,2,2,2,2,1,1,1] => [2,2,2,2,2,1,1,1] => 1
[4,2,2,2,2,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1] => 1
[4,2,2,2,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1] => 1
[4,2,2,1,1,1,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1,1] => 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
[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
[3,3,3,3,3,2] => [3,3,3,3,2] => 20
[3,3,3,3,3,1,1] => [3,3,3,3,1,1] => 20
[3,3,3,3,2,2,1] => [3,3,3,2,2,1] => 62
[3,3,3,3,2,1,1,1] => [3,3,3,2,1,1,1] => 40
[3,3,3,3,1,1,1,1,1] => [3,3,3,1,1,1,1,1] => 8
[3,3,3,2,2,2,2] => [3,3,2,2,2,2] => 13
[3,3,3,2,2,2,1,1] => [3,3,2,2,2,1,1] => 42
[3,3,3,2,2,1,1,1,1] => [3,3,2,2,1,1,1,1] => 27
[3,3,3,2,1,1,1,1,1,1] => [3,3,2,1,1,1,1,1,1] => 13
[3,3,3,1,1,1,1,1,1,1,1] => [3,3,1,1,1,1,1,1,1,1] => 3
[3,3,2,2,2,2,2,1] => [3,2,2,2,2,2,1] => 8
[3,3,2,2,2,2,1,1,1] => [3,2,2,2,2,1,1,1] => 10
[3,3,2,2,2,1,1,1,1,1] => [3,2,2,2,1,1,1,1,1] => 9
[3,3,2,2,1,1,1,1,1,1,1] => [3,2,2,1,1,1,1,1,1,1] => 5
[3,3,2,1,1,1,1,1,1,1,1,1] => [3,2,1,1,1,1,1,1,1,1,1] => 3
[3,3,1,1,1,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1,1,1,1] => 1
[3,2,2,2,2,2,2,2] => [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] => 1
[3,2,2,2,2,2,1,1,1,1] => [2,2,2,2,2,1,1,1,1] => 1
[3,2,2,2,2,1,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1,1] => 1
[3,2,2,2,1,1,1,1,1,1,1,1] => [2,2,2,1,1,1,1,1,1,1,1] => 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] => 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
[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
[2,2,2,2,2,2,2,2,1] => [2,2,2,2,2,2,2,1] => 1
[2,2,2,2,2,2,2,1,1,1] => [2,2,2,2,2,2,1,1,1] => 1
[2,2,2,2,2,2,1,1,1,1,1] => [2,2,2,2,2,1,1,1,1,1] => 1
[2,2,2,2,2,1,1,1,1,1,1,1] => [2,2,2,2,1,1,1,1,1,1,1] => 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] => 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] => 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
[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
[6,5,4,3,2,1] => [5,4,3,2,1] => 2526
[5,5,4,3,2,1] => [5,4,3,2,1] => 2526
[6,4,4,3,2,1] => [4,4,3,2,1] => 397
[5,4,4,3,2,1] => [4,4,3,2,1] => 397
[4,4,4,3,2,1] => [4,4,3,2,1] => 397
[6,5,3,3,2,1] => [5,3,3,2,1] => 422
[5,5,3,3,2,1] => [5,3,3,2,1] => 422
[6,4,3,3,2,1] => [4,3,3,2,1] => 161
[5,4,3,3,2,1] => [4,3,3,2,1] => 161
[6,3,3,3,2,1] => [3,3,3,2,1] => 24
[6,5,4,2,2,1] => [5,4,2,2,1] => 494
[5,5,4,2,2,1] => [5,4,2,2,1] => 494
[6,4,4,2,2,1] => [4,4,2,2,1] => 90
[5,4,4,2,2,1] => [4,4,2,2,1] => 90
[6,5,3,2,2,1] => [5,3,2,2,1] => 187
[5,5,3,2,2,1] => [5,3,2,2,1] => 187
[6,4,3,2,2,1] => [4,3,2,2,1] => 78
[6,5,2,2,2,1] => [5,2,2,2,1] => 32
[6,5,4,3,1,1] => [5,4,3,1,1] => 631
[5,5,4,3,1,1] => [5,4,3,1,1] => 631
[6,4,4,3,1,1] => [4,4,3,1,1] => 120
[5,4,4,3,1,1] => [4,4,3,1,1] => 120
[6,5,3,3,1,1] => [5,3,3,1,1] => 125
[5,5,3,3,1,1] => [5,3,3,1,1] => 125
[6,4,3,3,1,1] => [4,3,3,1,1] => 55
[6,5,4,2,1,1] => [5,4,2,1,1] => 273
[5,5,4,2,1,1] => [5,4,2,1,1] => 273
[6,4,4,2,1,1] => [4,4,2,1,1] => 62
[6,5,3,2,1,1] => [5,3,2,1,1] => 132
[6,5,4,1,1,1] => [5,4,1,1,1] => 67
[6,5,4,3,2] => [5,4,3,2] => 631
[5,5,4,3,2] => [5,4,3,2] => 631
[6,4,4,3,2] => [4,4,3,2] => 120
[5,4,4,3,2] => [4,4,3,2] => 120
[6,5,3,3,2] => [5,3,3,2] => 128
[5,5,3,3,2] => [5,3,3,2] => 128
[6,4,3,3,2] => [4,3,3,2] => 56
[6,5,4,2,2] => [5,4,2,2] => 142
[5,5,4,2,2] => [5,4,2,2] => 142
[6,4,4,2,2] => [4,4,2,2] => 31
[6,5,3,2,2] => [5,3,2,2] => 61
[6,5,4,3,1] => [5,4,3,1] => 368
[5,5,4,3,1] => [5,4,3,1] => 368
[6,4,4,3,1] => [4,4,3,1] => 84
[6,5,3,3,1] => [5,3,3,1] => 87
[6,5,4,2,1] => [5,4,2,1] => 196
[6,5,4,3] => [5,4,3] => 132
[6,4,3,3,3,2,1] => [4,3,3,3,2,1] => 993
[5,4,3,3,3,2,1] => [4,3,3,3,2,1] => 993
[6,3,3,3,3,2,1] => [3,3,3,3,2,1] => 87
[3,3,3,3,3,2,1] => [3,3,3,3,2,1] => 87
[6,5,4,2,2,2,1] => [5,4,2,2,2,1] => 1322
[6,5,3,2,2,2,1] => [5,3,2,2,2,1] => 424
[6,4,3,2,2,2,1] => [4,3,2,2,2,1] => 136
[5,4,3,2,2,2,1] => [4,3,2,2,2,1] => 136
[6,5,2,2,2,2,1] => [5,2,2,2,2,1] => 44
[7,2,2,2,2,2,1] => [2,2,2,2,2,1] => 1
[4,4,4,4,2,1,1] => [4,4,4,2,1,1] => 755
[6,5,4,3,2,1,1] => [5,4,3,2,1,1] => 4924
[5,5,4,3,2,1,1] => [5,4,3,2,1,1] => 4924
[5,4,4,3,2,1,1] => [4,4,3,2,1,1] => 792
[6,5,4,3,1,1,1] => [5,4,3,1,1,1] => 778
[7,6,5,2,1,1,1] => [6,5,2,1,1,1] => 3352
[5,5,5,2,1,1,1] => [5,5,2,1,1,1] => 447
[7,5,4,2,1,1,1] => [5,4,2,1,1,1] => 344
[6,5,4,2,1,1,1] => [5,4,2,1,1,1] => 344
[7,6,3,2,1,1,1] => [6,3,2,1,1,1] => 380
[7,4,3,2,1,1,1] => [4,3,2,1,1,1] => 57
[6,4,3,2,1,1,1] => [4,3,2,1,1,1] => 57
[6,5,4,1,1,1,1] => [5,4,1,1,1,1] => 67
[6,6,2,1,1,1,1] => [6,2,1,1,1,1] => 36
[7,6,1,1,1,1,1] => [6,1,1,1,1,1] => 8
[5,4,3,3,3,2] => [4,3,3,3,2] => 252
[4,3,3,3,3,2] => [3,3,3,3,2] => 20
[6,5,4,3,2,2] => [5,4,3,2,2] => 2643
[4,4,4,3,2,2] => [4,4,3,2,2] => 396
[6,5,4,2,2,2] => [5,4,2,2,2] => 306
[5,4,3,2,2,2] => [4,3,2,2,2] => 43
[6,6,2,2,2,2] => [6,2,2,2,2] => 37
[4,4,4,4,3,1] => [4,4,4,3,1] => 1028
[4,4,4,4,2,1] => [4,4,4,2,1] => 380
[5,5,5,3,2,1] => [5,5,3,2,1] => 4086
[7,6,4,3,2,1] => [6,4,3,2,1] => 8552
[6,6,4,3,2,1] => [6,4,3,2,1] => 8552
[7,5,4,3,2,1] => [5,4,3,2,1] => 2526
[7,4,4,3,2,1] => [4,4,3,2,1] => 397
[7,6,3,3,2,1] => [6,3,3,2,1] => 1460
[7,4,3,3,2,1] => [4,3,3,2,1] => 161
[7,3,3,3,2,1] => [3,3,3,2,1] => 24
[7,6,5,2,2,1] => [6,5,2,2,1] => 5153
[7,6,3,2,2,1] => [6,3,2,2,1] => 538
[7,6,2,2,2,1] => [6,2,2,2,1] => 87
[7,6,5,2,1,1] => [6,5,2,1,1] => 2430
[7,6,3,2,1,1] => [6,3,2,1,1] => 308
[7,4,3,2,1,1] => [4,3,2,1,1] => 50
[7,6,5,1,1,1] => [6,5,1,1,1] => 478
[5,4,4,4,3] => [4,4,4,3] => 262
[5,4,3,3,3] => [4,3,3,3] => 37
[7,3,3,3,3] => [3,3,3,3] => 4
[4,4,4,4,2] => [4,4,4,2] => 103
[7,6,5,3,2] => [6,5,3,2] => 6821
[7,6,4,3,2] => [6,4,3,2] => 2110
[7,5,4,3,2] => [5,4,3,2] => 631
[7,6,5,4,1] => [6,5,4,1] => 9616
[7,5,4,3,1] => [5,4,3,1] => 368
[7,6,5,2,1] => [6,5,2,1] => 1244
[6,6,5,2,1] => [6,5,2,1] => 1244
[7,6,4,2,1] => [6,4,2,1] => 465
[6,6,4,2,1] => [6,4,2,1] => 465
[7,5,4,2,1] => [5,4,2,1] => 196
[7,6,3,2,1] => [6,3,2,1] => 216
[6,6,3,2,1] => [6,3,2,1] => 216
[7,6,5,4] => [6,5,4] => 2430
[6,5,5,4] => [5,5,4] => 355
[7,6,5,3] => [6,5,3] => 783
[7,6,4,3] => [6,4,3] => 308
[7,5,4,3] => [5,4,3] => 132
[7,6,5,2] => [6,5,2] => 365
[7,6,5] => [6,5] => 77
[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] => 12
[3,3,3,3,3,3,1] => [3,3,3,3,3,1] => 44
[3,3,3,3,3,2,2] => [3,3,3,3,2,2] => 87
[4,3,3,3,3,3] => [3,3,3,3,3] => 12
[4,4,4,4,4] => [4,4,4,4] => 188
[5,5,5,5] => [5,5,5] => 389
[6,2,2,2,2,2,2] => [2,2,2,2,2,2] => 1
[6,6,6] => [6,6] => 109
[7,6,6] => [6,6] => 109
[10,4,4] => [4,4] => 3
[10,10] => [10] => 77
[11,7,3] => [7,3] => 39
[8,2,2,2,2,2,2] => [2,2,2,2,2,2] => 1
[9,6,3] => [6,3] => 13
[8,6,4,2] => [6,4,2] => 163
[8,6,4] => [6,4] => 32
[10,6,4] => [6,4] => 32
[8,7,6] => [7,6] => 513
[9,8,7] => [8,7] => 5232
[15,15] => [15] => 19522
[15,5,5] => [5,5] => 15
[7,7,7] => [7,7] => 718
[11,7,5,1] => [7,5,1] => 613
[9,7,5,3,1] => [7,5,3,1] => 11214
[9,6,4] => [6,4] => 32
[10,7,3] => [7,3] => 39
[8,5,4,2] => [5,4,2] => 62
[9,6,5,3] => [6,5,3] => 783
[10,7,5,3] => [7,5,3] => 2888
[9,6,4,3] => [6,4,3] => 308
[9,7,4] => [7,4] => 83
[8,6,5,3,1] => [6,5,3,1] => 3365
[8,5,5,1] => [5,5,1] => 46
[9,5,5,1] => [5,5,1] => 46
[9,7,5,3] => [7,5,3] => 2888
[3,3,3,3,1,1,1,1,1,1] => [3,3,3,1,1,1,1,1,1] => 8
[9,9] => [9] => 24
[8,8,8] => [8,8] => 9010
[16,16] => [16] => 72072
[7,7,1,1,1,1] => [7,1,1,1,1] => 18
[8,5,4,3,2,1] => [5,4,3,2,1] => 2526
[7,7,1,1,1,1,1,1] => [7,1,1,1,1,1,1] => 18
[5,4,3,2,1,1,1,1] => [4,3,2,1,1,1,1] => 57
[5,4,3,2,1,1,1,1,1] => [4,3,2,1,1,1,1,1] => 57
[6,5,4,3,1,1,1,1] => [5,4,3,1,1,1,1] => 871
[5,4,3,2,2,2,2] => [4,3,2,2,2,2] => 68
[6,5,5,5] => [5,5,5] => 389
[5,4,4,4,4] => [4,4,4,4] => 188
[8,7,5] => [7,5] => 220
[5,5,5,5,1] => [5,5,5,1] => 1531
[6,6,6,1] => [6,6,1] => 297
[6,6,6,1,1] => [6,6,1,1] => 515
[8,5,4,3,2,1,1] => [5,4,3,2,1,1] => 4924
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