Identifier
Values
[1] => [1] => 1
[1,1] => [2] => 2
[2] => [1,1] => 1
[1,1,1] => [3] => 3
[1,2] => [1,2] => 2
[2,1] => [2,1] => 2
[3] => [1,1,1] => 1
[1,1,1,1] => [4] => 4
[1,1,2] => [1,3] => 3
[1,2,1] => [2,2] => 2
[1,3] => [1,1,2] => 2
[2,1,1] => [3,1] => 3
[2,2] => [1,2,1] => 2
[3,1] => [2,1,1] => 2
[4] => [1,1,1,1] => 1
[1,1,1,1,1] => [5] => 5
[1,1,1,2] => [1,4] => 4
[1,1,2,1] => [2,3] => 3
[1,1,3] => [1,1,3] => 3
[1,2,1,1] => [3,2] => 3
[1,2,2] => [1,2,2] => 2
[1,3,1] => [2,1,2] => 2
[1,4] => [1,1,1,2] => 2
[2,1,1,1] => [4,1] => 4
[2,1,2] => [1,3,1] => 3
[2,2,1] => [2,2,1] => 2
[2,3] => [1,1,2,1] => 2
[3,1,1] => [3,1,1] => 3
[3,2] => [1,2,1,1] => 2
[4,1] => [2,1,1,1] => 2
[5] => [1,1,1,1,1] => 1
[1,1,1,1,1,1] => [6] => 6
[1,1,1,1,2] => [1,5] => 5
[1,1,1,2,1] => [2,4] => 4
[1,1,1,3] => [1,1,4] => 4
[1,1,2,1,1] => [3,3] => 3
[1,1,2,2] => [1,2,3] => 3
[1,1,3,1] => [2,1,3] => 3
[1,1,4] => [1,1,1,3] => 3
[1,2,1,1,1] => [4,2] => 4
[1,2,1,2] => [1,3,2] => 3
[1,2,2,1] => [2,2,2] => 2
[1,2,3] => [1,1,2,2] => 2
[1,3,1,1] => [3,1,2] => 3
[1,3,2] => [1,2,1,2] => 2
[1,4,1] => [2,1,1,2] => 2
[1,5] => [1,1,1,1,2] => 2
[2,1,1,1,1] => [5,1] => 5
[2,1,1,2] => [1,4,1] => 4
[2,1,2,1] => [2,3,1] => 3
[2,1,3] => [1,1,3,1] => 3
[2,2,1,1] => [3,2,1] => 3
[2,2,2] => [1,2,2,1] => 2
[2,3,1] => [2,1,2,1] => 2
[2,4] => [1,1,1,2,1] => 2
[3,1,1,1] => [4,1,1] => 4
[3,1,2] => [1,3,1,1] => 3
[3,2,1] => [2,2,1,1] => 2
[3,3] => [1,1,2,1,1] => 2
[4,1,1] => [3,1,1,1] => 3
[4,2] => [1,2,1,1,1] => 2
[5,1] => [2,1,1,1,1] => 2
[6] => [1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1] => [7] => 7
[1,1,1,1,1,2] => [1,6] => 6
[1,1,1,1,2,1] => [2,5] => 5
[1,1,1,1,3] => [1,1,5] => 5
[1,1,1,2,1,1] => [3,4] => 4
[1,1,1,2,2] => [1,2,4] => 4
[1,1,1,3,1] => [2,1,4] => 4
[1,1,1,4] => [1,1,1,4] => 4
[1,1,2,1,1,1] => [4,3] => 4
[1,1,2,1,2] => [1,3,3] => 3
[1,1,2,2,1] => [2,2,3] => 3
[1,1,2,3] => [1,1,2,3] => 3
[1,1,3,1,1] => [3,1,3] => 3
[1,1,3,2] => [1,2,1,3] => 3
[1,1,4,1] => [2,1,1,3] => 3
[1,1,5] => [1,1,1,1,3] => 3
[1,2,1,1,1,1] => [5,2] => 5
[1,2,1,1,2] => [1,4,2] => 4
[1,2,1,2,1] => [2,3,2] => 3
[1,2,1,3] => [1,1,3,2] => 3
[1,2,2,1,1] => [3,2,2] => 3
[1,2,2,2] => [1,2,2,2] => 2
[1,2,3,1] => [2,1,2,2] => 2
[1,2,4] => [1,1,1,2,2] => 2
[1,3,1,1,1] => [4,1,2] => 4
[1,3,1,2] => [1,3,1,2] => 3
[1,3,2,1] => [2,2,1,2] => 2
[1,3,3] => [1,1,2,1,2] => 2
[1,4,1,1] => [3,1,1,2] => 3
[1,4,2] => [1,2,1,1,2] => 2
[1,5,1] => [2,1,1,1,2] => 2
[1,6] => [1,1,1,1,1,2] => 2
[2,1,1,1,1,1] => [6,1] => 6
[2,1,1,1,2] => [1,5,1] => 5
[2,1,1,2,1] => [2,4,1] => 4
[2,1,1,3] => [1,1,4,1] => 4
[2,1,2,1,1] => [3,3,1] => 3
[2,1,2,2] => [1,2,3,1] => 3
>>> Load all 657 entries. <<<
[2,1,3,1] => [2,1,3,1] => 3
[2,1,4] => [1,1,1,3,1] => 3
[2,2,1,1,1] => [4,2,1] => 4
[2,2,1,2] => [1,3,2,1] => 3
[2,2,2,1] => [2,2,2,1] => 2
[2,2,3] => [1,1,2,2,1] => 2
[2,3,1,1] => [3,1,2,1] => 3
[2,3,2] => [1,2,1,2,1] => 2
[2,4,1] => [2,1,1,2,1] => 2
[2,5] => [1,1,1,1,2,1] => 2
[3,1,1,1,1] => [5,1,1] => 5
[3,1,1,2] => [1,4,1,1] => 4
[3,1,2,1] => [2,3,1,1] => 3
[3,1,3] => [1,1,3,1,1] => 3
[3,2,1,1] => [3,2,1,1] => 3
[3,2,2] => [1,2,2,1,1] => 2
[3,3,1] => [2,1,2,1,1] => 2
[3,4] => [1,1,1,2,1,1] => 2
[4,1,1,1] => [4,1,1,1] => 4
[4,1,2] => [1,3,1,1,1] => 3
[4,2,1] => [2,2,1,1,1] => 2
[4,3] => [1,1,2,1,1,1] => 2
[5,1,1] => [3,1,1,1,1] => 3
[5,2] => [1,2,1,1,1,1] => 2
[6,1] => [2,1,1,1,1,1] => 2
[7] => [1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,1] => [8] => 8
[1,1,1,1,1,1,2] => [1,7] => 7
[1,1,1,1,1,2,1] => [2,6] => 6
[1,1,1,1,1,3] => [1,1,6] => 6
[1,1,1,1,2,1,1] => [3,5] => 5
[1,1,1,1,2,2] => [1,2,5] => 5
[1,1,1,1,3,1] => [2,1,5] => 5
[1,1,1,1,4] => [1,1,1,5] => 5
[1,1,1,2,1,1,1] => [4,4] => 4
[1,1,1,2,1,2] => [1,3,4] => 4
[1,1,1,2,2,1] => [2,2,4] => 4
[1,1,1,2,3] => [1,1,2,4] => 4
[1,1,1,3,1,1] => [3,1,4] => 4
[1,1,1,3,2] => [1,2,1,4] => 4
[1,1,1,4,1] => [2,1,1,4] => 4
[1,1,1,5] => [1,1,1,1,4] => 4
[1,1,2,1,1,1,1] => [5,3] => 5
[1,1,2,1,1,2] => [1,4,3] => 4
[1,1,2,1,2,1] => [2,3,3] => 3
[1,1,2,1,3] => [1,1,3,3] => 3
[1,1,2,2,1,1] => [3,2,3] => 3
[1,1,2,2,2] => [1,2,2,3] => 3
[1,1,2,3,1] => [2,1,2,3] => 3
[1,1,2,4] => [1,1,1,2,3] => 3
[1,1,3,1,1,1] => [4,1,3] => 4
[1,1,3,1,2] => [1,3,1,3] => 3
[1,1,3,2,1] => [2,2,1,3] => 3
[1,1,3,3] => [1,1,2,1,3] => 3
[1,1,4,1,1] => [3,1,1,3] => 3
[1,1,4,2] => [1,2,1,1,3] => 3
[1,1,5,1] => [2,1,1,1,3] => 3
[1,1,6] => [1,1,1,1,1,3] => 3
[1,2,1,1,1,1,1] => [6,2] => 6
[1,2,1,1,1,2] => [1,5,2] => 5
[1,2,1,1,2,1] => [2,4,2] => 4
[1,2,1,1,3] => [1,1,4,2] => 4
[1,2,1,2,1,1] => [3,3,2] => 3
[1,2,1,2,2] => [1,2,3,2] => 3
[1,2,1,3,1] => [2,1,3,2] => 3
[1,2,1,4] => [1,1,1,3,2] => 3
[1,2,2,1,1,1] => [4,2,2] => 4
[1,2,2,1,2] => [1,3,2,2] => 3
[1,2,2,2,1] => [2,2,2,2] => 2
[1,2,2,3] => [1,1,2,2,2] => 2
[1,2,3,1,1] => [3,1,2,2] => 3
[1,2,3,2] => [1,2,1,2,2] => 2
[1,2,4,1] => [2,1,1,2,2] => 2
[1,2,5] => [1,1,1,1,2,2] => 2
[1,3,1,1,1,1] => [5,1,2] => 5
[1,3,1,1,2] => [1,4,1,2] => 4
[1,3,1,2,1] => [2,3,1,2] => 3
[1,3,1,3] => [1,1,3,1,2] => 3
[1,3,2,1,1] => [3,2,1,2] => 3
[1,3,2,2] => [1,2,2,1,2] => 2
[1,3,3,1] => [2,1,2,1,2] => 2
[1,3,4] => [1,1,1,2,1,2] => 2
[1,4,1,1,1] => [4,1,1,2] => 4
[1,4,1,2] => [1,3,1,1,2] => 3
[1,4,2,1] => [2,2,1,1,2] => 2
[1,4,3] => [1,1,2,1,1,2] => 2
[1,5,1,1] => [3,1,1,1,2] => 3
[1,5,2] => [1,2,1,1,1,2] => 2
[1,6,1] => [2,1,1,1,1,2] => 2
[1,7] => [1,1,1,1,1,1,2] => 2
[2,1,1,1,1,1,1] => [7,1] => 7
[2,1,1,1,1,2] => [1,6,1] => 6
[2,1,1,1,2,1] => [2,5,1] => 5
[2,1,1,1,3] => [1,1,5,1] => 5
[2,1,1,2,1,1] => [3,4,1] => 4
[2,1,1,2,2] => [1,2,4,1] => 4
[2,1,1,3,1] => [2,1,4,1] => 4
[2,1,1,4] => [1,1,1,4,1] => 4
[2,1,2,1,1,1] => [4,3,1] => 4
[2,1,2,1,2] => [1,3,3,1] => 3
[2,1,2,2,1] => [2,2,3,1] => 3
[2,1,2,3] => [1,1,2,3,1] => 3
[2,1,3,1,1] => [3,1,3,1] => 3
[2,1,3,2] => [1,2,1,3,1] => 3
[2,1,4,1] => [2,1,1,3,1] => 3
[2,1,5] => [1,1,1,1,3,1] => 3
[2,2,1,1,1,1] => [5,2,1] => 5
[2,2,1,1,2] => [1,4,2,1] => 4
[2,2,1,2,1] => [2,3,2,1] => 3
[2,2,1,3] => [1,1,3,2,1] => 3
[2,2,2,1,1] => [3,2,2,1] => 3
[2,2,2,2] => [1,2,2,2,1] => 2
[2,2,3,1] => [2,1,2,2,1] => 2
[2,2,4] => [1,1,1,2,2,1] => 2
[2,3,1,1,1] => [4,1,2,1] => 4
[2,3,1,2] => [1,3,1,2,1] => 3
[2,3,2,1] => [2,2,1,2,1] => 2
[2,3,3] => [1,1,2,1,2,1] => 2
[2,4,1,1] => [3,1,1,2,1] => 3
[2,4,2] => [1,2,1,1,2,1] => 2
[2,5,1] => [2,1,1,1,2,1] => 2
[2,6] => [1,1,1,1,1,2,1] => 2
[3,1,1,1,1,1] => [6,1,1] => 6
[3,1,1,1,2] => [1,5,1,1] => 5
[3,1,1,2,1] => [2,4,1,1] => 4
[3,1,1,3] => [1,1,4,1,1] => 4
[3,1,2,1,1] => [3,3,1,1] => 3
[3,1,2,2] => [1,2,3,1,1] => 3
[3,1,3,1] => [2,1,3,1,1] => 3
[3,1,4] => [1,1,1,3,1,1] => 3
[3,2,1,1,1] => [4,2,1,1] => 4
[3,2,1,2] => [1,3,2,1,1] => 3
[3,2,2,1] => [2,2,2,1,1] => 2
[3,2,3] => [1,1,2,2,1,1] => 2
[3,3,1,1] => [3,1,2,1,1] => 3
[3,3,2] => [1,2,1,2,1,1] => 2
[3,4,1] => [2,1,1,2,1,1] => 2
[3,5] => [1,1,1,1,2,1,1] => 2
[4,1,1,1,1] => [5,1,1,1] => 5
[4,1,1,2] => [1,4,1,1,1] => 4
[4,1,2,1] => [2,3,1,1,1] => 3
[4,1,3] => [1,1,3,1,1,1] => 3
[4,2,1,1] => [3,2,1,1,1] => 3
[4,2,2] => [1,2,2,1,1,1] => 2
[4,3,1] => [2,1,2,1,1,1] => 2
[4,4] => [1,1,1,2,1,1,1] => 2
[5,1,1,1] => [4,1,1,1,1] => 4
[5,1,2] => [1,3,1,1,1,1] => 3
[5,2,1] => [2,2,1,1,1,1] => 2
[5,3] => [1,1,2,1,1,1,1] => 2
[6,1,1] => [3,1,1,1,1,1] => 3
[6,2] => [1,2,1,1,1,1,1] => 2
[7,1] => [2,1,1,1,1,1,1] => 2
[8] => [1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,1,1] => [9] => 9
[1,1,1,1,1,1,1,2] => [1,8] => 8
[1,1,1,1,1,1,2,1] => [2,7] => 7
[1,1,1,1,1,1,3] => [1,1,7] => 7
[1,1,1,1,1,2,1,1] => [3,6] => 6
[1,1,1,1,1,2,2] => [1,2,6] => 6
[1,1,1,1,1,3,1] => [2,1,6] => 6
[1,1,1,1,1,4] => [1,1,1,6] => 6
[1,1,1,1,2,1,1,1] => [4,5] => 5
[1,1,1,1,2,1,2] => [1,3,5] => 5
[1,1,1,1,2,2,1] => [2,2,5] => 5
[1,1,1,1,2,3] => [1,1,2,5] => 5
[1,1,1,1,3,1,1] => [3,1,5] => 5
[1,1,1,1,3,2] => [1,2,1,5] => 5
[1,1,1,1,4,1] => [2,1,1,5] => 5
[1,1,1,1,5] => [1,1,1,1,5] => 5
[1,1,1,2,1,1,1,1] => [5,4] => 5
[1,1,1,2,1,1,2] => [1,4,4] => 4
[1,1,1,2,1,2,1] => [2,3,4] => 4
[1,1,1,2,1,3] => [1,1,3,4] => 4
[1,1,1,2,2,1,1] => [3,2,4] => 4
[1,1,1,2,2,2] => [1,2,2,4] => 4
[1,1,1,2,3,1] => [2,1,2,4] => 4
[1,1,1,2,4] => [1,1,1,2,4] => 4
[1,1,1,3,1,1,1] => [4,1,4] => 4
[1,1,1,3,1,2] => [1,3,1,4] => 4
[1,1,1,3,2,1] => [2,2,1,4] => 4
[1,1,1,3,3] => [1,1,2,1,4] => 4
[1,1,1,4,1,1] => [3,1,1,4] => 4
[1,1,1,4,2] => [1,2,1,1,4] => 4
[1,1,1,5,1] => [2,1,1,1,4] => 4
[1,1,1,6] => [1,1,1,1,1,4] => 4
[1,1,2,1,1,1,1,1] => [6,3] => 6
[1,1,2,1,1,1,2] => [1,5,3] => 5
[1,1,2,1,1,2,1] => [2,4,3] => 4
[1,1,2,1,1,3] => [1,1,4,3] => 4
[1,1,2,1,2,1,1] => [3,3,3] => 3
[1,1,2,1,2,2] => [1,2,3,3] => 3
[1,1,2,1,3,1] => [2,1,3,3] => 3
[1,1,2,1,4] => [1,1,1,3,3] => 3
[1,1,2,2,1,1,1] => [4,2,3] => 4
[1,1,2,2,1,2] => [1,3,2,3] => 3
[1,1,2,2,2,1] => [2,2,2,3] => 3
[1,1,2,2,3] => [1,1,2,2,3] => 3
[1,1,2,3,1,1] => [3,1,2,3] => 3
[1,1,2,3,2] => [1,2,1,2,3] => 3
[1,1,2,4,1] => [2,1,1,2,3] => 3
[1,1,2,5] => [1,1,1,1,2,3] => 3
[1,1,3,1,1,1,1] => [5,1,3] => 5
[1,1,3,1,1,2] => [1,4,1,3] => 4
[1,1,3,1,2,1] => [2,3,1,3] => 3
[1,1,3,1,3] => [1,1,3,1,3] => 3
[1,1,3,2,1,1] => [3,2,1,3] => 3
[1,1,3,2,2] => [1,2,2,1,3] => 3
[1,1,3,3,1] => [2,1,2,1,3] => 3
[1,1,3,4] => [1,1,1,2,1,3] => 3
[1,1,4,1,1,1] => [4,1,1,3] => 4
[1,1,4,1,2] => [1,3,1,1,3] => 3
[1,1,4,2,1] => [2,2,1,1,3] => 3
[1,1,4,3] => [1,1,2,1,1,3] => 3
[1,1,5,1,1] => [3,1,1,1,3] => 3
[1,1,5,2] => [1,2,1,1,1,3] => 3
[1,1,6,1] => [2,1,1,1,1,3] => 3
[1,1,7] => [1,1,1,1,1,1,3] => 3
[1,2,1,1,1,1,1,1] => [7,2] => 7
[1,2,1,1,1,1,2] => [1,6,2] => 6
[1,2,1,1,1,2,1] => [2,5,2] => 5
[1,2,1,1,1,3] => [1,1,5,2] => 5
[1,2,1,1,2,1,1] => [3,4,2] => 4
[1,2,1,1,2,2] => [1,2,4,2] => 4
[1,2,1,1,3,1] => [2,1,4,2] => 4
[1,2,1,1,4] => [1,1,1,4,2] => 4
[1,2,1,2,1,1,1] => [4,3,2] => 4
[1,2,1,2,1,2] => [1,3,3,2] => 3
[1,2,1,2,2,1] => [2,2,3,2] => 3
[1,2,1,2,3] => [1,1,2,3,2] => 3
[1,2,1,3,1,1] => [3,1,3,2] => 3
[1,2,1,3,2] => [1,2,1,3,2] => 3
[1,2,1,4,1] => [2,1,1,3,2] => 3
[1,2,1,5] => [1,1,1,1,3,2] => 3
[1,2,2,1,1,1,1] => [5,2,2] => 5
[1,2,2,1,1,2] => [1,4,2,2] => 4
[1,2,2,1,2,1] => [2,3,2,2] => 3
[1,2,2,1,3] => [1,1,3,2,2] => 3
[1,2,2,2,1,1] => [3,2,2,2] => 3
[1,2,2,2,2] => [1,2,2,2,2] => 2
[1,2,2,3,1] => [2,1,2,2,2] => 2
[1,2,2,4] => [1,1,1,2,2,2] => 2
[1,2,3,1,1,1] => [4,1,2,2] => 4
[1,2,3,1,2] => [1,3,1,2,2] => 3
[1,2,3,2,1] => [2,2,1,2,2] => 2
[1,2,3,3] => [1,1,2,1,2,2] => 2
[1,2,4,1,1] => [3,1,1,2,2] => 3
[1,2,4,2] => [1,2,1,1,2,2] => 2
[1,2,5,1] => [2,1,1,1,2,2] => 2
[1,2,6] => [1,1,1,1,1,2,2] => 2
[1,3,1,1,1,1,1] => [6,1,2] => 6
[1,3,1,1,1,2] => [1,5,1,2] => 5
[1,3,1,1,2,1] => [2,4,1,2] => 4
[1,3,1,1,3] => [1,1,4,1,2] => 4
[1,3,1,2,1,1] => [3,3,1,2] => 3
[1,3,1,2,2] => [1,2,3,1,2] => 3
[1,3,1,3,1] => [2,1,3,1,2] => 3
[1,3,1,4] => [1,1,1,3,1,2] => 3
[1,3,2,1,1,1] => [4,2,1,2] => 4
[1,3,2,1,2] => [1,3,2,1,2] => 3
[1,3,2,2,1] => [2,2,2,1,2] => 2
[1,3,2,3] => [1,1,2,2,1,2] => 2
[1,3,3,1,1] => [3,1,2,1,2] => 3
[1,3,3,2] => [1,2,1,2,1,2] => 2
[1,3,4,1] => [2,1,1,2,1,2] => 2
[1,3,5] => [1,1,1,1,2,1,2] => 2
[1,4,1,1,1,1] => [5,1,1,2] => 5
[1,4,1,1,2] => [1,4,1,1,2] => 4
[1,4,1,2,1] => [2,3,1,1,2] => 3
[1,4,1,3] => [1,1,3,1,1,2] => 3
[1,4,2,1,1] => [3,2,1,1,2] => 3
[1,4,2,2] => [1,2,2,1,1,2] => 2
[1,4,3,1] => [2,1,2,1,1,2] => 2
[1,4,4] => [1,1,1,2,1,1,2] => 2
[1,5,1,1,1] => [4,1,1,1,2] => 4
[1,5,1,2] => [1,3,1,1,1,2] => 3
[1,5,2,1] => [2,2,1,1,1,2] => 2
[1,5,3] => [1,1,2,1,1,1,2] => 2
[1,6,1,1] => [3,1,1,1,1,2] => 3
[1,6,2] => [1,2,1,1,1,1,2] => 2
[1,7,1] => [2,1,1,1,1,1,2] => 2
[1,8] => [1,1,1,1,1,1,1,2] => 2
[2,1,1,1,1,1,1,1] => [8,1] => 8
[2,1,1,1,1,1,2] => [1,7,1] => 7
[2,1,1,1,1,2,1] => [2,6,1] => 6
[2,1,1,1,1,3] => [1,1,6,1] => 6
[2,1,1,1,2,1,1] => [3,5,1] => 5
[2,1,1,1,2,2] => [1,2,5,1] => 5
[2,1,1,1,3,1] => [2,1,5,1] => 5
[2,1,1,1,4] => [1,1,1,5,1] => 5
[2,1,1,2,1,1,1] => [4,4,1] => 4
[2,1,1,2,1,2] => [1,3,4,1] => 4
[2,1,1,2,2,1] => [2,2,4,1] => 4
[2,1,1,2,3] => [1,1,2,4,1] => 4
[2,1,1,3,1,1] => [3,1,4,1] => 4
[2,1,1,3,2] => [1,2,1,4,1] => 4
[2,1,1,4,1] => [2,1,1,4,1] => 4
[2,1,1,5] => [1,1,1,1,4,1] => 4
[2,1,2,1,1,1,1] => [5,3,1] => 5
[2,1,2,1,1,2] => [1,4,3,1] => 4
[2,1,2,1,2,1] => [2,3,3,1] => 3
[2,1,2,1,3] => [1,1,3,3,1] => 3
[2,1,2,2,1,1] => [3,2,3,1] => 3
[2,1,2,2,2] => [1,2,2,3,1] => 3
[2,1,2,3,1] => [2,1,2,3,1] => 3
[2,1,2,4] => [1,1,1,2,3,1] => 3
[2,1,3,1,1,1] => [4,1,3,1] => 4
[2,1,3,1,2] => [1,3,1,3,1] => 3
[2,1,3,2,1] => [2,2,1,3,1] => 3
[2,1,3,3] => [1,1,2,1,3,1] => 3
[2,1,4,1,1] => [3,1,1,3,1] => 3
[2,1,4,2] => [1,2,1,1,3,1] => 3
[2,1,5,1] => [2,1,1,1,3,1] => 3
[2,1,6] => [1,1,1,1,1,3,1] => 3
[2,2,1,1,1,1,1] => [6,2,1] => 6
[2,2,1,1,1,2] => [1,5,2,1] => 5
[2,2,1,1,2,1] => [2,4,2,1] => 4
[2,2,1,1,3] => [1,1,4,2,1] => 4
[2,2,1,2,1,1] => [3,3,2,1] => 3
[2,2,1,2,2] => [1,2,3,2,1] => 3
[2,2,1,3,1] => [2,1,3,2,1] => 3
[2,2,1,4] => [1,1,1,3,2,1] => 3
[2,2,2,1,1,1] => [4,2,2,1] => 4
[2,2,2,1,2] => [1,3,2,2,1] => 3
[2,2,2,2,1] => [2,2,2,2,1] => 2
[2,2,2,3] => [1,1,2,2,2,1] => 2
[2,2,3,1,1] => [3,1,2,2,1] => 3
[2,2,3,2] => [1,2,1,2,2,1] => 2
[2,2,4,1] => [2,1,1,2,2,1] => 2
[2,2,5] => [1,1,1,1,2,2,1] => 2
[2,3,1,1,1,1] => [5,1,2,1] => 5
[2,3,1,1,2] => [1,4,1,2,1] => 4
[2,3,1,2,1] => [2,3,1,2,1] => 3
[2,3,1,3] => [1,1,3,1,2,1] => 3
[2,3,2,1,1] => [3,2,1,2,1] => 3
[2,3,2,2] => [1,2,2,1,2,1] => 2
[2,3,3,1] => [2,1,2,1,2,1] => 2
[2,3,4] => [1,1,1,2,1,2,1] => 2
[2,4,1,1,1] => [4,1,1,2,1] => 4
[2,4,1,2] => [1,3,1,1,2,1] => 3
[2,4,2,1] => [2,2,1,1,2,1] => 2
[2,4,3] => [1,1,2,1,1,2,1] => 2
[2,5,1,1] => [3,1,1,1,2,1] => 3
[2,5,2] => [1,2,1,1,1,2,1] => 2
[2,6,1] => [2,1,1,1,1,2,1] => 2
[2,7] => [1,1,1,1,1,1,2,1] => 2
[3,1,1,1,1,1,1] => [7,1,1] => 7
[3,1,1,1,1,2] => [1,6,1,1] => 6
[3,1,1,1,2,1] => [2,5,1,1] => 5
[3,1,1,1,3] => [1,1,5,1,1] => 5
[3,1,1,2,1,1] => [3,4,1,1] => 4
[3,1,1,2,2] => [1,2,4,1,1] => 4
[3,1,1,3,1] => [2,1,4,1,1] => 4
[3,1,1,4] => [1,1,1,4,1,1] => 4
[3,1,2,1,1,1] => [4,3,1,1] => 4
[3,1,2,1,2] => [1,3,3,1,1] => 3
[3,1,2,2,1] => [2,2,3,1,1] => 3
[3,1,2,3] => [1,1,2,3,1,1] => 3
[3,1,3,1,1] => [3,1,3,1,1] => 3
[3,1,3,2] => [1,2,1,3,1,1] => 3
[3,1,4,1] => [2,1,1,3,1,1] => 3
[3,1,5] => [1,1,1,1,3,1,1] => 3
[3,2,1,1,1,1] => [5,2,1,1] => 5
[3,2,1,1,2] => [1,4,2,1,1] => 4
[3,2,1,2,1] => [2,3,2,1,1] => 3
[3,2,1,3] => [1,1,3,2,1,1] => 3
[3,2,2,1,1] => [3,2,2,1,1] => 3
[3,2,2,2] => [1,2,2,2,1,1] => 2
[3,2,3,1] => [2,1,2,2,1,1] => 2
[3,2,4] => [1,1,1,2,2,1,1] => 2
[3,3,1,1,1] => [4,1,2,1,1] => 4
[3,3,1,2] => [1,3,1,2,1,1] => 3
[3,3,2,1] => [2,2,1,2,1,1] => 2
[3,3,3] => [1,1,2,1,2,1,1] => 2
[3,4,1,1] => [3,1,1,2,1,1] => 3
[3,4,2] => [1,2,1,1,2,1,1] => 2
[3,5,1] => [2,1,1,1,2,1,1] => 2
[3,6] => [1,1,1,1,1,2,1,1] => 2
[4,1,1,1,1,1] => [6,1,1,1] => 6
[4,1,1,1,2] => [1,5,1,1,1] => 5
[4,1,1,2,1] => [2,4,1,1,1] => 4
[4,1,1,3] => [1,1,4,1,1,1] => 4
[4,1,2,1,1] => [3,3,1,1,1] => 3
[4,1,2,2] => [1,2,3,1,1,1] => 3
[4,1,3,1] => [2,1,3,1,1,1] => 3
[4,1,4] => [1,1,1,3,1,1,1] => 3
[4,2,1,1,1] => [4,2,1,1,1] => 4
[4,2,1,2] => [1,3,2,1,1,1] => 3
[4,2,2,1] => [2,2,2,1,1,1] => 2
[4,2,3] => [1,1,2,2,1,1,1] => 2
[4,3,1,1] => [3,1,2,1,1,1] => 3
[4,3,2] => [1,2,1,2,1,1,1] => 2
[4,4,1] => [2,1,1,2,1,1,1] => 2
[4,5] => [1,1,1,1,2,1,1,1] => 2
[5,1,1,1,1] => [5,1,1,1,1] => 5
[5,1,1,2] => [1,4,1,1,1,1] => 4
[5,1,2,1] => [2,3,1,1,1,1] => 3
[5,1,3] => [1,1,3,1,1,1,1] => 3
[5,2,1,1] => [3,2,1,1,1,1] => 3
[5,2,2] => [1,2,2,1,1,1,1] => 2
[5,3,1] => [2,1,2,1,1,1,1] => 2
[5,4] => [1,1,1,2,1,1,1,1] => 2
[6,1,1,1] => [4,1,1,1,1,1] => 4
[6,1,2] => [1,3,1,1,1,1,1] => 3
[6,2,1] => [2,2,1,1,1,1,1] => 2
[6,3] => [1,1,2,1,1,1,1,1] => 2
[7,1,1] => [3,1,1,1,1,1,1] => 3
[7,2] => [1,2,1,1,1,1,1,1] => 2
[8,1] => [2,1,1,1,1,1,1,1] => 2
[9] => [1,1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,1,2] => [1,9] => 9
[1,1,1,1,2,1,1,1,1] => [5,5] => 5
[1,1,1,2,1,1,3] => [1,1,4,4] => 4
[1,1,1,2,1,3,1] => [2,1,3,4] => 4
[1,1,1,2,3,1,1] => [3,1,2,4] => 4
[1,1,1,4,1,1,1] => [4,1,1,4] => 4
[1,1,2,1,2,2,1] => [2,2,3,3] => 3
[1,1,2,1,5] => [1,1,1,1,3,3] => 3
[1,1,2,2,2,1,1] => [3,2,2,3] => 3
[1,1,2,3,3] => [1,1,2,1,2,3] => 3
[1,1,2,5,1] => [2,1,1,1,2,3] => 3
[1,1,3,2,1,1,1] => [4,2,1,3] => 4
[1,1,4,1,3] => [1,1,3,1,1,3] => 3
[1,1,4,3,1] => [2,1,2,1,1,3] => 3
[1,1,6,1,1] => [3,1,1,1,1,3] => 3
[1,2,2,1,2,1,1] => [3,3,2,2] => 3
[1,2,2,2,3] => [1,1,2,2,2,2] => 2
[1,2,2,4,1] => [2,1,1,2,2,2] => 2
[1,2,4,2,1] => [2,2,1,1,2,2] => 2
[1,2,7] => [1,1,1,1,1,1,2,2] => 2
[1,3,1,1,1,1,2] => [1,6,1,2] => 6
[1,3,1,2,1,1,1] => [4,3,1,2] => 4
[1,3,2,1,3] => [1,1,3,2,1,2] => 3
[1,3,2,3,1] => [2,1,2,2,1,2] => 2
[1,3,4,1,1] => [3,1,1,2,1,2] => 3
[1,4,2,2,1] => [2,2,2,1,1,2] => 2
[1,4,5] => [1,1,1,1,2,1,1,2] => 2
[1,5,2,1,1] => [3,2,1,1,1,2] => 3
[1,6,3] => [1,1,2,1,1,1,1,2] => 2
[1,8,1] => [2,1,1,1,1,1,1,2] => 2
[2,1,1,1,1,1,1,1,1] => [9,1] => 9
[2,1,1,1,1,1,1,2] => [1,8,1] => 8
[2,1,1,1,1,1,3] => [1,1,7,1] => 7
[2,1,1,1,1,2,2] => [1,2,6,1] => 6
[2,1,1,1,1,3,1] => [2,1,6,1] => 6
[2,1,1,1,2,1,2] => [1,3,5,1] => 5
[2,1,1,1,5] => [1,1,1,1,5,1] => 5
[2,1,1,2,1,1,2] => [1,4,4,1] => 4
[2,1,1,4,2] => [1,2,1,1,4,1] => 4
[2,1,2,1,1,1,2] => [1,5,3,1] => 5
[2,1,4,1,2] => [1,3,1,1,3,1] => 3
[2,2,1,1,1,1,2] => [1,6,2,1] => 6
[2,4,1,1,2] => [1,4,1,1,2,1] => 4
[3,1,1,1,1,1,1,1] => [8,1,1] => 8
[3,1,1,1,1,1,2] => [1,7,1,1] => 7
[3,1,1,2,1,1,1] => [4,4,1,1] => 4
[3,1,2,1,3] => [1,1,3,3,1,1] => 3
[3,1,2,3,1] => [2,1,2,3,1,1] => 3
[3,1,4,1,1] => [3,1,1,3,1,1] => 3
[3,2,2,2,1] => [2,2,2,2,1,1] => 2
[3,2,5] => [1,1,1,1,2,2,1,1] => 2
[3,3,2,1,1] => [3,2,1,2,1,1] => 3
[3,4,3] => [1,1,2,1,1,2,1,1] => 2
[3,6,1] => [2,1,1,1,1,2,1,1] => 2
[5,1,1,1,2] => [1,5,1,1,1,1] => 5
[5,1,2,1,1] => [3,3,1,1,1,1] => 3
[5,2,3] => [1,1,2,2,1,1,1,1] => 2
[5,4,1] => [2,1,1,2,1,1,1,1] => 2
[7,2,1] => [2,2,1,1,1,1,1,1] => 2
[10] => [1,1,1,1,1,1,1,1,1,1] => 1
[1,2,2,2,2,2,1] => [2,2,2,2,2,2] => 2
[1,2,2,4,3] => [1,1,2,1,1,2,2,2] => 2
[1,2,4,4,1] => [2,1,1,2,1,1,2,2] => 2
[1,2,4,2,3] => [1,1,2,2,1,1,2,2] => 2
[1,3,4,3,1] => [2,1,2,1,1,2,1,2] => 2
[1,3,2,3,3] => [1,1,2,1,2,2,1,2] => 2
[1,4,4,2,1] => [2,2,1,1,2,1,1,2] => 2
[1,4,2,4,1] => [2,1,1,2,2,1,1,2] => 2
[1,4,2,2,3] => [1,1,2,2,2,1,1,2] => 2
[1,6,5] => [1,1,1,1,2,1,1,1,1,2] => 2
[3,4,2,2,1] => [2,2,2,1,1,2,1,1] => 2
[3,6,3] => [1,1,2,1,1,1,1,2,1,1] => 2
[3,3,2,3,1] => [2,1,2,2,1,2,1,1] => 2
[3,2,4,2,1] => [2,2,1,1,2,2,1,1] => 2
[3,2,2,4,1] => [2,1,1,2,2,2,1,1] => 2
[3,2,2,2,3] => [1,1,2,2,2,2,1,1] => 2
[3,4,5] => [1,1,1,1,2,1,1,2,1,1] => 2
[5,6,1] => [2,1,1,1,1,2,1,1,1,1] => 2
[5,4,3] => [1,1,2,1,1,2,1,1,1,1] => 2
[5,2,5] => [1,1,1,1,2,2,1,1,1,1] => 2
[1,1,1,1,1,1,1,1,1,2] => [1,10] => 10
[12] => [1,1,1,1,1,1,1,1,1,1,1,1] => 1
[3,2,7] => [1,1,1,1,1,1,2,2,1,1] => 2
[7,2,3] => [1,1,2,2,1,1,1,1,1,1] => 2
[1,1,2,1,2,2,3] => [1,1,2,2,3,3] => 3
[1,8,3] => [1,1,2,1,1,1,1,1,1,2] => 2
[1,1,2,5,3] => [1,1,2,1,1,1,2,3] => 3
[3,1,2,3,3] => [1,1,2,1,2,3,1,1] => 3
[1,1,4,3,3] => [1,1,2,1,2,1,1,3] => 3
[1,1,1,2,1,3,3] => [1,1,2,1,3,4] => 4
[3,3,2,1,3] => [1,1,3,2,1,2,1,1] => 3
[1,5,2,1,3] => [1,1,3,2,1,1,1,2] => 3
[1,1,2,2,2,1,3] => [1,1,3,2,2,3] => 3
[1,3,1,2,1,1,3] => [1,1,4,3,1,2] => 4
[1,1,1,4,1,1,3] => [1,1,4,1,1,4] => 4
[9,2,1] => [2,2,1,1,1,1,1,1,1,1] => 2
[5,2,2,2,1] => [2,2,2,2,1,1,1,1] => 2
[1,1,2,3,2,2,1] => [2,2,2,1,2,3] => 3
[3,1,2,1,2,2,1] => [2,2,3,3,1,1] => 3
[1,3,2,1,2,2,1] => [2,2,3,2,1,2] => 3
[1,1,1,2,1,1,2,2,1] => [2,2,4,4] => 4
[1,1,2,1,2,4,1] => [2,1,1,2,3,3] => 3
[1,10,1] => [2,1,1,1,1,1,1,1,1,2] => 2
[3,1,2,5,1] => [2,1,1,1,2,3,1,1] => 3
[1,1,4,5,1] => [2,1,1,1,2,1,1,3] => 3
[1,2,2,1,2,3,1] => [2,1,2,3,2,2] => 3
[1,1,2,2,2,3,1] => [2,1,2,2,2,3] => 3
[1,1,1,2,3,3,1] => [2,1,2,1,2,4] => 4
[3,1,1,2,1,3,1] => [2,1,3,4,1,1] => 4
[1,1,3,2,1,3,1] => [2,1,3,2,1,3] => 3
[1,1,1,1,2,1,1,3,1] => [2,1,4,5] => 5
[1,2,4,1,2,1,1] => [3,3,1,1,2,2] => 3
[3,2,2,1,2,1,1] => [3,3,2,2,1,1] => 3
[1,4,2,1,2,1,1] => [3,3,2,1,1,2] => 3
[1,1,2,1,2,1,2,1,1] => [3,3,3,3] => 3
[5,3,2,1,1] => [3,2,1,2,1,1,1,1] => 3
[1,2,2,3,2,1,1] => [3,2,1,2,2,2] => 3
[3,5,2,1,1] => [3,2,1,1,1,2,1,1] => 3
[1,1,2,4,2,1,1] => [3,2,1,1,2,3] => 3
[3,1,2,2,2,1,1] => [3,2,2,3,1,1] => 3
[1,3,2,2,2,1,1] => [3,2,2,2,1,2] => 3
[1,1,1,2,1,2,2,1,1] => [3,2,3,4] => 4
[3,3,4,1,1] => [3,1,1,2,1,2,1,1] => 3
[1,5,4,1,1] => [3,1,1,2,1,1,1,2] => 3
[3,1,1,2,3,1,1] => [3,1,2,4,1,1] => 4
[1,3,1,2,3,1,1] => [3,1,2,3,1,2] => 3
[1,1,1,4,3,1,1] => [3,1,2,1,1,4] => 4
[5,1,1,2,1,1,1] => [4,4,1,1,1,1] => 4
[1,2,2,1,1,2,1,1,1] => [4,4,2,2] => 4
[3,3,1,2,1,1,1] => [4,3,1,2,1,1] => 4
[1,5,1,2,1,1,1] => [4,3,1,1,1,2] => 4
[1,1,2,2,1,2,1,1,1] => [4,3,2,3] => 4
[3,1,3,2,1,1,1] => [4,2,1,3,1,1] => 4
[1,3,3,2,1,1,1] => [4,2,1,2,1,2] => 4
[1,1,1,2,2,2,1,1,1] => [4,2,2,4] => 4
[3,1,1,4,1,1,1] => [4,1,1,4,1,1] => 4
[1,3,1,4,1,1,1] => [4,1,1,3,1,2] => 4
[1,1,3,4,1,1,1] => [4,1,1,2,1,3] => 4
[1,1,1,1,2,3,1,1,1] => [4,1,2,5] => 5
[1,3,1,1,2,1,1,1,1] => [5,4,1,2] => 5
[1,1,1,3,2,1,1,1,1] => [5,2,1,4] => 5
[1,1,1,1,1,2,1,1,1,1,1] => [6,6] => 6
[2,1,1,1,1,1,1,1,1,1] => [10,1] => 10
[2,1,1,1,1,1,2,2] => [1,2,7,1] => 7
[2,2,1,1,1,1,1,2] => [1,7,2,1] => 7
[3,1,1,1,1,1,1,2] => [1,8,1,1] => 8
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Description
The largest part of an integer composition.
Map
conjugate
Description
The conjugate of a composition.
The conjugate of a composition $C$ is defined as the complement (Mp00039complement) of the reversal (Mp00038reverse) of $C$.
Equivalently, the ribbon shape corresponding to the conjugate of $C$ is the conjugate of the ribbon shape of $C$.