Identifier
Values
[[2,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,1],[1]] => [1] => [[1]] => [[1]] => 1
[[2,2],[1]] => [1] => [[1]] => [[1]] => 1
[[3,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[2,2,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[2,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,2,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,2],[1]] => [1] => [[1]] => [[1]] => 1
[[4,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[3,2,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[4,2,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,3],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,3],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[2,2,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,2,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,3,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[2,2,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,3,2],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[3,2,2],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[2,2,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[2,2,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[2,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[3,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,1],[1]] => [1] => [[1]] => [[1]] => 1
[[4,2],[1]] => [1] => [[1]] => [[1]] => 1
[[5,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,2,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[5,2,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,3],[1]] => [1] => [[1]] => [[1]] => 1
[[4,3],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,3],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[3,3,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,2,1],[1]] => [1] => [[1]] => [[1]] => 1
[[4,3,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,2,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,3,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[3,2,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,3,2],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[4,2,2],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,2,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[3,2,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[4,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[4,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,4],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[5,4],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[3,3,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[4,3,1],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[2,2,2],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,2],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,2,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,3,2],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[2,2,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[3,3,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,2,1,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,3,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[3,3,3],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[2,2,2,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,3,2,1],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[3,2,2,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[2,2,2,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[3,2,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[2,2,2,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[2,2,1,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[2,1,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,2,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[3,2,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[6,1],[1]] => [1] => [[1]] => [[1]] => 1
[[5,2],[1]] => [1] => [[1]] => [[1]] => 1
[[6,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,2,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[5,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[6,2,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,3],[1]] => [1] => [[1]] => [[1]] => 1
[[5,3],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[6,3],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[4,3,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,2,1],[1]] => [1] => [[1]] => [[1]] => 1
[[5,3,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,2,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[6,3,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[4,2,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[5,3,2],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[5,2,2],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,2,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[4,2,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[5,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[5,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,4],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,4],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[6,4],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[3,3,1],[1]] => [1] => [[1]] => [[1]] => 1
>>> Load all 532 entries. <<<
[[4,4,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,3,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,4,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[5,3,1],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[3,3,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,2],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[3,2,2],[1]] => [1] => [[1]] => [[1]] => 1
[[4,3,2],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,2,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,3,2],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[3,3,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[3,3,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,2,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[4,3,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[4,3,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,2,1,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,3,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[4,3,3],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[3,2,2,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,3,2,1],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[4,2,2,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,2,2,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[4,2,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[3,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[3,2,2,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[3,2,1,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,1,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[4,2,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[4,2,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,5],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[4,4,1],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[5,4,1],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[3,3,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,2],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[4,3,2],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[3,3,1,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[4,3,1,1],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[3,3,3],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,3,3],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[2,2,2,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[3,3,2,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,2,2,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,3,2,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[3,3,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[2,2,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[3,3,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,2,1,1,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,3,1,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[3,3,3,1],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[2,2,2,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,3,2,2],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[3,2,2,2],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[2,2,2,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,3,2,1,1],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[3,2,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[2,2,2,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[3,2,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[2,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[2,2,2,1,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[2,2,1,1,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[2,1,1,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,2,2,1,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[3,2,1,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[7,1],[1]] => [1] => [[1]] => [[1]] => 1
[[6,2],[1]] => [1] => [[1]] => [[1]] => 1
[[7,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[6,2,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[6,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[7,2,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,3],[1]] => [1] => [[1]] => [[1]] => 1
[[6,3],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[7,3],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[5,3,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[5,2,1],[1]] => [1] => [[1]] => [[1]] => 1
[[6,3,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[6,2,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[7,3,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[5,2,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[6,3,2],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[6,2,2],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,2,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[5,2,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[5,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[6,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[6,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,4],[1]] => [1] => [[1]] => [[1]] => 1
[[5,4],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[6,4],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[7,4],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[4,4,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,3,1],[1]] => [1] => [[1]] => [[1]] => 1
[[5,4,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,3,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[6,4,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[6,3,1],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[4,3,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[5,4,2],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[4,2,2],[1]] => [1] => [[1]] => [[1]] => 1
[[5,3,2],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,2,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[6,3,2],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[4,3,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[4,3,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,2,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[5,3,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[5,3,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,2,1,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[6,3,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[5,3,3],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[4,2,2,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[5,3,2,1],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[5,2,2,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,2,2,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[5,2,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[4,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[4,2,2,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[4,2,1,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,1,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[5,2,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[5,2,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,5],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[6,5],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[4,4,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,5,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[5,4,1],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[6,4,1],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[3,3,2],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,2],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,3,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,4,2],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[5,3,2],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[3,3,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[4,4,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,3,1,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,4,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[5,3,1,1],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[3,3,3],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,3],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[4,3,3],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,3,3],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[3,3,3,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[3,3,2,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,2,1],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[3,2,2,1],[1]] => [1] => [[1]] => [[1]] => 1
[[4,3,3,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[4,3,2,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,2,2,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,3,2,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[3,3,2,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[4,3,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[3,3,2,2,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[3,3,2,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[3,3,1,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,2,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[4,3,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[4,3,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,2,1,1,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,3,1,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[4,3,3,1],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[3,2,2,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,3,2,2],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[4,2,2,2],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,2,2,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,3,2,1,1],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[4,2,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,2,2,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[4,2,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[3,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[3,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[3,2,2,1,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[3,2,1,1,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,1,1,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[4,2,2,1,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[4,2,1,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,5,1],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[4,4,2],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[5,4,2],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[4,4,1,1],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[5,4,1,1],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[3,3,3],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,3],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[4,3,3],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[3,3,2,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,2,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[4,3,2,1],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[3,3,1,1,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,1,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[4,3,1,1,1],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[3,3,3,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,3,3,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[2,2,2,2],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[3,3,2,2],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,2,2,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,3,2,2],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[2,2,2,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[3,3,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,2,2,1,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,3,2,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[3,3,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[2,2,1,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,2,1,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[3,3,1,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,2,1,1,1,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,3,1,1,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[3,3,3,2],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[3,3,3,1,1],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[2,2,2,2,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,3,2,2,1],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[3,2,2,2,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[2,2,2,1,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,3,2,1,1,1],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[3,2,2,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[2,2,2,2,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[3,2,2,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[2,2,2,2,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[3,2,2,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[2,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[2,2,2,2,1,1,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[2,2,2,1,1,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[2,2,1,1,1,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[2,1,1,1,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,2,2,1,1,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[3,2,1,1,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[2,2,1,1,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[2,2,2,1,1,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,2,1,1,1,1],[1]] => [1] => [[1]] => [[1]] => 1
[[2,2,2,2,1,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[3,2,2,1,1,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,3,2,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,3,1,1,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[2,2,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[3,2,2,2,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[3,3,2,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[4,3,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,4,2,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[4,3,3,1,1],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[5,3,1,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[3,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[4,3,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[5,3,2,1],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,4,2,1],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[5,3,3,1],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[6,4,1],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[5,3,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[6,4,2],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[7,4],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[3,3,3],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,2,1],[1]] => [1] => [[1]] => [[1]] => 1
[[2,2,2,2,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[3,3,3,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[4,4,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,4],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[5,5],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,3],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,3,3,3],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[4,3,3],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,3,3,3],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[4,4,3],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,4],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[5,4],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,5],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,3,2,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[3,3,3,2],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,3,2],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,2],[1]] => [1] => [[1]] => [[1]] => 1
[[2,2,2,2,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,2,2,2],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,2,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[3,3,2,2],[1]] => [1] => [[1]] => [[1]] => 1
[[2,2,2,2,2],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[3,3,3,2],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,3],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[4,3,3],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,3],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[4,4,3],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[3,3,3,3],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,3,3],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,3],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,3],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[4,4,4],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,4],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,3],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[3,3,3,3],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4,1],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,3,1],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4,1],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,4,1],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,3,1],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[6,6],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[6,5],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[6,6],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[6,4],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,4,4],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[5,5,4],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[6,5],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[6,6],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,5,5],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[6,3],[1]] => [1] => [[1]] => [[1]] => 1
[[5,5,3],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[5,4,3],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,5,3],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,3,3],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,3,3],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[4,3,3,3],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[3,3,3,3,3],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[4,4,3,3],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[5,4,3],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,4,3],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[5,5,3],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,4,3],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[6,4],[1]] => [1] => [[1]] => [[1]] => 1
[[5,5,4],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[5,4,4],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,5,4],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[6,5],[1]] => [1] => [[1]] => [[1]] => 1
[[5,5,5],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[6,6],[1]] => [1] => [[1]] => [[1]] => 1
[[5,5,5],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,4,4],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,4,4],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[5,5,4],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,4,4],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[5,5,5],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[2,2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[5,5,2],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[5,4,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,4,2],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[5,5,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,3,2],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,3,2],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,3,3,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,3,3,3,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[4,4,3,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[5,4,2],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4,2],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,5,2],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[2,2,2,2,2,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[4,4,2,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,3,2,2],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,2,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,2,2],[1]] => [1] => [[1]] => [[1]] => 1
[[2,2,2,2,2,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,3,2,2,2],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,2,2],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,3,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,3,3,2],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,3,2],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,3,2],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4,2],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[4,4,4,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,4,2],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,3,2],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[3,3,3,3,2],[1]] => [1] => [[1]] => [[1]] => 1
[[5,5,3],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[5,4,3],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,4,3],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[5,5,3],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,3,3],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,3,3],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[3,3,3,3,3],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[4,3,3,3],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[3,3,3,3,3],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 3
[[4,4,3,3],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,4,3],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[5,4,3],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4,3],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,5,3],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4,3],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[5,5,4],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[5,4,4],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,4,4],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[5,5,4],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[5,5,5],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[5,5,5],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[5,5,5],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,4,4],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[5,4,4],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4,4],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[5,5,4],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4,4],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[5,5,5],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,3,3],[2,2]] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[4,3,3,3],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,3,3],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[4,4,3,3],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[3,3,3,3,3],[2,1]] => [2,1] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => 3
[[4,3,3,3],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,3,3],[1,1]] => [1,1] => [[1],[2]] => [[1,1],[1]] => 2
[[4,4,3,3],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4,3],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[4,4,4,3],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,4,3],[1]] => [1] => [[1]] => [[1]] => 1
[[3,3,3,3,3],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[3,3,3,3,3],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4,4],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[4,4,4,4],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,4,4],[1]] => [1] => [[1]] => [[1]] => 1
[[5,5,5,1],[1]] => [1] => [[1]] => [[1]] => 1
[[4,4,4,4,1],[1]] => [1] => [[1]] => [[1]] => 1
[[7,7],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[2,2,2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[3,3,3,3,3,3],[2]] => [2] => [[1,2]] => [[2,0],[1]] => 2
[[4,4,4,4,3],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[5,5,5,4],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[4,4,4,4,4],[3,1]] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[5,5,5,5],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[4,4,4,4,4],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[5,5,5,5,5],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[5,5,5,5,5,5],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[4,4,4,4,4,4],[3]] => [3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => 3
[[5,5,5,5,4],[4]] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[5,5,5,5,1],[1]] => [1] => [[1]] => [[1]] => 1
search for individual values
searching the database for the individual values of this statistic
Description
The sum of the first row in a Gelfand-Tsetlin pattern.
Map
to Gelfand-Tsetlin pattern
Description
Sends a tableau to its corresponding Gelfand-Tsetlin pattern.
To obtain this Gelfand-Tsetlin pattern, fill in the first row of the pattern with the shape of the tableau.
Then remove the maximal entry from the tableau to obtain a smaller tableau, and repeat the process until the tableau is empty.
Map
initial tableau
Description
Sends an integer partition to the standard tableau obtained by filling the numbers $1$ through $n$ row by row.
Map
inner shape
Description
The inner shape of a skew partition.