Identifier
Values
[[1],[1]] => [1,1] => [1] => [[1],[]] => 1
[[1],[1],[1]] => [1,1,1] => [1,1] => [[1,1],[]] => 1
[[2],[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
[[2],[1],[1]] => [2,1,1] => [1,1] => [[1,1],[]] => 1
[[2],[2]] => [2,2] => [2] => [[2],[]] => 1
[[1,1],[1],[1]] => [2,1,1] => [1,1] => [[1,1],[]] => 1
[[1,1],[1,1]] => [2,2] => [2] => [[2],[]] => 1
[[3],[1]] => [3,1] => [1] => [[1],[]] => 1
[[2,1],[1]] => [3,1] => [1] => [[1],[]] => 1
[[1,1,1],[1]] => [3,1] => [1] => [[1],[]] => 1
[[1],[1],[1],[1],[1]] => [1,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[2],[1],[1],[1]] => [2,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[2],[2],[1]] => [2,2,1] => [2,1] => [[2,1],[]] => 1
[[1,1],[1],[1],[1]] => [2,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[1,1],[1,1],[1]] => [2,2,1] => [2,1] => [[2,1],[]] => 1
[[3],[1],[1]] => [3,1,1] => [1,1] => [[1,1],[]] => 1
[[3],[2]] => [3,2] => [2] => [[2],[]] => 1
[[2,1],[1],[1]] => [3,1,1] => [1,1] => [[1,1],[]] => 1
[[2,1],[2]] => [3,2] => [2] => [[2],[]] => 1
[[2,1],[1,1]] => [3,2] => [2] => [[2],[]] => 1
[[1,1,1],[1],[1]] => [3,1,1] => [1,1] => [[1,1],[]] => 1
[[1,1,1],[1,1]] => [3,2] => [2] => [[2],[]] => 1
[[4],[1]] => [4,1] => [1] => [[1],[]] => 1
[[3,1],[1]] => [4,1] => [1] => [[1],[]] => 1
[[2,2],[1]] => [4,1] => [1] => [[1],[]] => 1
[[2,1,1],[1]] => [4,1] => [1] => [[1],[]] => 1
[[1,1,1,1],[1]] => [4,1] => [1] => [[1],[]] => 1
[[1],[1],[1],[1],[1],[1]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[[2],[1],[1],[1],[1]] => [2,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[2],[2],[1],[1]] => [2,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2],[2],[2]] => [2,2,2] => [2,2] => [[2,2],[]] => 1
[[1,1],[1],[1],[1],[1]] => [2,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[1,1],[1,1],[1],[1]] => [2,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[1,1],[1,1],[1,1]] => [2,2,2] => [2,2] => [[2,2],[]] => 1
[[3],[1],[1],[1]] => [3,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[3],[2],[1]] => [3,2,1] => [2,1] => [[2,1],[]] => 1
[[3],[3]] => [3,3] => [3] => [[3],[]] => 1
[[2,1],[1],[1],[1]] => [3,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[2,1],[2],[1]] => [3,2,1] => [2,1] => [[2,1],[]] => 1
[[2,1],[1,1],[1]] => [3,2,1] => [2,1] => [[2,1],[]] => 1
[[2,1],[2,1]] => [3,3] => [3] => [[3],[]] => 1
[[1,1,1],[1],[1],[1]] => [3,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[1,1,1],[1,1],[1]] => [3,2,1] => [2,1] => [[2,1],[]] => 1
[[1,1,1],[1,1,1]] => [3,3] => [3] => [[3],[]] => 1
[[4],[1],[1]] => [4,1,1] => [1,1] => [[1,1],[]] => 1
[[4],[2]] => [4,2] => [2] => [[2],[]] => 1
[[3,1],[1],[1]] => [4,1,1] => [1,1] => [[1,1],[]] => 1
[[3,1],[2]] => [4,2] => [2] => [[2],[]] => 1
[[3,1],[1,1]] => [4,2] => [2] => [[2],[]] => 1
[[2,2],[1],[1]] => [4,1,1] => [1,1] => [[1,1],[]] => 1
[[2,2],[2]] => [4,2] => [2] => [[2],[]] => 1
[[2,2],[1,1]] => [4,2] => [2] => [[2],[]] => 1
[[2,1,1],[1],[1]] => [4,1,1] => [1,1] => [[1,1],[]] => 1
[[2,1,1],[2]] => [4,2] => [2] => [[2],[]] => 1
[[2,1,1],[1,1]] => [4,2] => [2] => [[2],[]] => 1
[[1,1,1,1],[1],[1]] => [4,1,1] => [1,1] => [[1,1],[]] => 1
[[1,1,1,1],[1,1]] => [4,2] => [2] => [[2],[]] => 1
[[5],[1]] => [5,1] => [1] => [[1],[]] => 1
[[4,1],[1]] => [5,1] => [1] => [[1],[]] => 1
[[3,2],[1]] => [5,1] => [1] => [[1],[]] => 1
[[3,1,1],[1]] => [5,1] => [1] => [[1],[]] => 1
[[2,2,1],[1]] => [5,1] => [1] => [[1],[]] => 1
[[2,1,1,1],[1]] => [5,1] => [1] => [[1],[]] => 1
[[1,1,1,1,1],[1]] => [5,1] => [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
[[2],[2],[1],[1],[1]] => [2,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[2],[2],[2],[1]] => [2,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[1,1],[1],[1],[1],[1],[1]] => [2,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[[1,1],[1,1],[1],[1],[1]] => [2,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[1,1],[1,1],[1,1],[1]] => [2,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[3],[1],[1],[1],[1]] => [3,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[3],[2],[1],[1]] => [3,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[3],[2],[2]] => [3,2,2] => [2,2] => [[2,2],[]] => 1
[[3],[3],[1]] => [3,3,1] => [3,1] => [[3,1],[]] => 1
[[2,1],[1],[1],[1],[1]] => [3,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[2,1],[2],[1],[1]] => [3,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,1],[2],[2]] => [3,2,2] => [2,2] => [[2,2],[]] => 1
[[2,1],[1,1],[1],[1]] => [3,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,1],[1,1],[1,1]] => [3,2,2] => [2,2] => [[2,2],[]] => 1
[[2,1],[2,1],[1]] => [3,3,1] => [3,1] => [[3,1],[]] => 1
[[1,1,1],[1],[1],[1],[1]] => [3,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[1,1,1],[1,1],[1],[1]] => [3,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[1,1,1],[1,1],[1,1]] => [3,2,2] => [2,2] => [[2,2],[]] => 1
[[1,1,1],[1,1,1],[1]] => [3,3,1] => [3,1] => [[3,1],[]] => 1
[[4],[1],[1],[1]] => [4,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[4],[2],[1]] => [4,2,1] => [2,1] => [[2,1],[]] => 1
[[4],[3]] => [4,3] => [3] => [[3],[]] => 1
[[3,1],[1],[1],[1]] => [4,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[3,1],[2],[1]] => [4,2,1] => [2,1] => [[2,1],[]] => 1
[[3,1],[1,1],[1]] => [4,2,1] => [2,1] => [[2,1],[]] => 1
[[3,1],[3]] => [4,3] => [3] => [[3],[]] => 1
[[3,1],[2,1]] => [4,3] => [3] => [[3],[]] => 1
[[2,2],[1],[1],[1]] => [4,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[2,2],[2],[1]] => [4,2,1] => [2,1] => [[2,1],[]] => 1
[[2,2],[1,1],[1]] => [4,2,1] => [2,1] => [[2,1],[]] => 1
[[2,2],[2,1]] => [4,3] => [3] => [[3],[]] => 1
[[2,1,1],[1],[1],[1]] => [4,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[2,1,1],[2],[1]] => [4,2,1] => [2,1] => [[2,1],[]] => 1
[[2,1,1],[1,1],[1]] => [4,2,1] => [2,1] => [[2,1],[]] => 1
>>> Load all 835 entries. <<<
[[2,1,1],[2,1]] => [4,3] => [3] => [[3],[]] => 1
[[2,1,1],[1,1,1]] => [4,3] => [3] => [[3],[]] => 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]] => [4,2,1] => [2,1] => [[2,1],[]] => 1
[[1,1,1,1],[1,1,1]] => [4,3] => [3] => [[3],[]] => 1
[[5],[1],[1]] => [5,1,1] => [1,1] => [[1,1],[]] => 1
[[5],[2]] => [5,2] => [2] => [[2],[]] => 1
[[4,1],[1],[1]] => [5,1,1] => [1,1] => [[1,1],[]] => 1
[[4,1],[2]] => [5,2] => [2] => [[2],[]] => 1
[[4,1],[1,1]] => [5,2] => [2] => [[2],[]] => 1
[[3,2],[1],[1]] => [5,1,1] => [1,1] => [[1,1],[]] => 1
[[3,2],[2]] => [5,2] => [2] => [[2],[]] => 1
[[3,2],[1,1]] => [5,2] => [2] => [[2],[]] => 1
[[3,1,1],[1],[1]] => [5,1,1] => [1,1] => [[1,1],[]] => 1
[[3,1,1],[2]] => [5,2] => [2] => [[2],[]] => 1
[[3,1,1],[1,1]] => [5,2] => [2] => [[2],[]] => 1
[[2,2,1],[1],[1]] => [5,1,1] => [1,1] => [[1,1],[]] => 1
[[2,2,1],[2]] => [5,2] => [2] => [[2],[]] => 1
[[2,2,1],[1,1]] => [5,2] => [2] => [[2],[]] => 1
[[2,1,1,1],[1],[1]] => [5,1,1] => [1,1] => [[1,1],[]] => 1
[[2,1,1,1],[2]] => [5,2] => [2] => [[2],[]] => 1
[[2,1,1,1],[1,1]] => [5,2] => [2] => [[2],[]] => 1
[[1,1,1,1,1],[1],[1]] => [5,1,1] => [1,1] => [[1,1],[]] => 1
[[1,1,1,1,1],[1,1]] => [5,2] => [2] => [[2],[]] => 1
[[6],[1]] => [6,1] => [1] => [[1],[]] => 1
[[5,1],[1]] => [6,1] => [1] => [[1],[]] => 1
[[4,2],[1]] => [6,1] => [1] => [[1],[]] => 1
[[4,1,1],[1]] => [6,1] => [1] => [[1],[]] => 1
[[3,3],[1]] => [6,1] => [1] => [[1],[]] => 1
[[3,2,1],[1]] => [6,1] => [1] => [[1],[]] => 1
[[3,1,1,1],[1]] => [6,1] => [1] => [[1],[]] => 1
[[2,2,2],[1]] => [6,1] => [1] => [[1],[]] => 1
[[2,2,1,1],[1]] => [6,1] => [1] => [[1],[]] => 1
[[2,1,1,1,1],[1]] => [6,1] => [1] => [[1],[]] => 1
[[1,1,1,1,1,1],[1]] => [6,1] => [1] => [[1],[]] => 1
[[3],[1],[1],[1],[1],[1]] => [3,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[[3],[2],[1],[1],[1]] => [3,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[3],[2],[2],[1]] => [3,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[3],[3],[1],[1]] => [3,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[3],[3],[2]] => [3,3,2] => [3,2] => [[3,2],[]] => 1
[[2,1],[1],[1],[1],[1],[1]] => [3,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[[2,1],[2],[1],[1],[1]] => [3,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[2,1],[2],[2],[1]] => [3,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[2,1],[1,1],[1],[1],[1]] => [3,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[2,1],[1,1],[1,1],[1]] => [3,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[2,1],[2,1],[1],[1]] => [3,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[2,1],[2,1],[2]] => [3,3,2] => [3,2] => [[3,2],[]] => 1
[[2,1],[2,1],[1,1]] => [3,3,2] => [3,2] => [[3,2],[]] => 1
[[1,1,1],[1],[1],[1],[1],[1]] => [3,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[[1,1,1],[1,1],[1],[1],[1]] => [3,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[1,1,1],[1,1],[1,1],[1]] => [3,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[1,1,1],[1,1,1],[1],[1]] => [3,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[1,1,1],[1,1,1],[1,1]] => [3,3,2] => [3,2] => [[3,2],[]] => 1
[[4],[1],[1],[1],[1]] => [4,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[4],[2],[1],[1]] => [4,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[4],[2],[2]] => [4,2,2] => [2,2] => [[2,2],[]] => 1
[[4],[3],[1]] => [4,3,1] => [3,1] => [[3,1],[]] => 1
[[4],[4]] => [4,4] => [4] => [[4],[]] => 1
[[3,1],[1],[1],[1],[1]] => [4,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[3,1],[2],[1],[1]] => [4,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[3,1],[2],[2]] => [4,2,2] => [2,2] => [[2,2],[]] => 1
[[3,1],[1,1],[1],[1]] => [4,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[3,1],[1,1],[1,1]] => [4,2,2] => [2,2] => [[2,2],[]] => 1
[[3,1],[3],[1]] => [4,3,1] => [3,1] => [[3,1],[]] => 1
[[3,1],[2,1],[1]] => [4,3,1] => [3,1] => [[3,1],[]] => 1
[[3,1],[3,1]] => [4,4] => [4] => [[4],[]] => 1
[[2,2],[1],[1],[1],[1]] => [4,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[2,2],[2],[1],[1]] => [4,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,2],[2],[2]] => [4,2,2] => [2,2] => [[2,2],[]] => 1
[[2,2],[1,1],[1],[1]] => [4,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,2],[1,1],[1,1]] => [4,2,2] => [2,2] => [[2,2],[]] => 1
[[2,2],[2,1],[1]] => [4,3,1] => [3,1] => [[3,1],[]] => 1
[[2,2],[2,2]] => [4,4] => [4] => [[4],[]] => 1
[[2,1,1],[1],[1],[1],[1]] => [4,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[2,1,1],[2],[1],[1]] => [4,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,1,1],[2],[2]] => [4,2,2] => [2,2] => [[2,2],[]] => 1
[[2,1,1],[1,1],[1],[1]] => [4,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,1,1],[1,1],[1,1]] => [4,2,2] => [2,2] => [[2,2],[]] => 1
[[2,1,1],[2,1],[1]] => [4,3,1] => [3,1] => [[3,1],[]] => 1
[[2,1,1],[1,1,1],[1]] => [4,3,1] => [3,1] => [[3,1],[]] => 1
[[2,1,1],[2,1,1]] => [4,4] => [4] => [[4],[]] => 1
[[1,1,1,1],[1],[1],[1],[1]] => [4,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[1,1,1,1],[1,1],[1],[1]] => [4,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[1,1,1,1],[1,1],[1,1]] => [4,2,2] => [2,2] => [[2,2],[]] => 1
[[1,1,1,1],[1,1,1],[1]] => [4,3,1] => [3,1] => [[3,1],[]] => 1
[[1,1,1,1],[1,1,1,1]] => [4,4] => [4] => [[4],[]] => 1
[[5],[1],[1],[1]] => [5,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[5],[2],[1]] => [5,2,1] => [2,1] => [[2,1],[]] => 1
[[5],[3]] => [5,3] => [3] => [[3],[]] => 1
[[4,1],[1],[1],[1]] => [5,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[4,1],[2],[1]] => [5,2,1] => [2,1] => [[2,1],[]] => 1
[[4,1],[1,1],[1]] => [5,2,1] => [2,1] => [[2,1],[]] => 1
[[4,1],[3]] => [5,3] => [3] => [[3],[]] => 1
[[4,1],[2,1]] => [5,3] => [3] => [[3],[]] => 1
[[3,2],[1],[1],[1]] => [5,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[3,2],[2],[1]] => [5,2,1] => [2,1] => [[2,1],[]] => 1
[[3,2],[1,1],[1]] => [5,2,1] => [2,1] => [[2,1],[]] => 1
[[3,2],[3]] => [5,3] => [3] => [[3],[]] => 1
[[3,2],[2,1]] => [5,3] => [3] => [[3],[]] => 1
[[3,1,1],[1],[1],[1]] => [5,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[3,1,1],[2],[1]] => [5,2,1] => [2,1] => [[2,1],[]] => 1
[[3,1,1],[1,1],[1]] => [5,2,1] => [2,1] => [[2,1],[]] => 1
[[3,1,1],[3]] => [5,3] => [3] => [[3],[]] => 1
[[3,1,1],[2,1]] => [5,3] => [3] => [[3],[]] => 1
[[3,1,1],[1,1,1]] => [5,3] => [3] => [[3],[]] => 1
[[2,2,1],[1],[1],[1]] => [5,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[2,2,1],[2],[1]] => [5,2,1] => [2,1] => [[2,1],[]] => 1
[[2,2,1],[1,1],[1]] => [5,2,1] => [2,1] => [[2,1],[]] => 1
[[2,2,1],[2,1]] => [5,3] => [3] => [[3],[]] => 1
[[2,2,1],[1,1,1]] => [5,3] => [3] => [[3],[]] => 1
[[2,1,1,1],[1],[1],[1]] => [5,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[2,1,1,1],[2],[1]] => [5,2,1] => [2,1] => [[2,1],[]] => 1
[[2,1,1,1],[1,1],[1]] => [5,2,1] => [2,1] => [[2,1],[]] => 1
[[2,1,1,1],[2,1]] => [5,3] => [3] => [[3],[]] => 1
[[2,1,1,1],[1,1,1]] => [5,3] => [3] => [[3],[]] => 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]] => [5,2,1] => [2,1] => [[2,1],[]] => 1
[[1,1,1,1,1],[1,1,1]] => [5,3] => [3] => [[3],[]] => 1
[[6],[1],[1]] => [6,1,1] => [1,1] => [[1,1],[]] => 1
[[6],[2]] => [6,2] => [2] => [[2],[]] => 1
[[5,1],[1],[1]] => [6,1,1] => [1,1] => [[1,1],[]] => 1
[[5,1],[2]] => [6,2] => [2] => [[2],[]] => 1
[[5,1],[1,1]] => [6,2] => [2] => [[2],[]] => 1
[[4,2],[1],[1]] => [6,1,1] => [1,1] => [[1,1],[]] => 1
[[4,2],[2]] => [6,2] => [2] => [[2],[]] => 1
[[4,2],[1,1]] => [6,2] => [2] => [[2],[]] => 1
[[4,1,1],[1],[1]] => [6,1,1] => [1,1] => [[1,1],[]] => 1
[[4,1,1],[2]] => [6,2] => [2] => [[2],[]] => 1
[[4,1,1],[1,1]] => [6,2] => [2] => [[2],[]] => 1
[[3,3],[1],[1]] => [6,1,1] => [1,1] => [[1,1],[]] => 1
[[3,3],[2]] => [6,2] => [2] => [[2],[]] => 1
[[3,3],[1,1]] => [6,2] => [2] => [[2],[]] => 1
[[3,2,1],[1],[1]] => [6,1,1] => [1,1] => [[1,1],[]] => 1
[[3,2,1],[2]] => [6,2] => [2] => [[2],[]] => 1
[[3,2,1],[1,1]] => [6,2] => [2] => [[2],[]] => 1
[[3,1,1,1],[1],[1]] => [6,1,1] => [1,1] => [[1,1],[]] => 1
[[3,1,1,1],[2]] => [6,2] => [2] => [[2],[]] => 1
[[3,1,1,1],[1,1]] => [6,2] => [2] => [[2],[]] => 1
[[2,2,2],[1],[1]] => [6,1,1] => [1,1] => [[1,1],[]] => 1
[[2,2,2],[2]] => [6,2] => [2] => [[2],[]] => 1
[[2,2,2],[1,1]] => [6,2] => [2] => [[2],[]] => 1
[[2,2,1,1],[1],[1]] => [6,1,1] => [1,1] => [[1,1],[]] => 1
[[2,2,1,1],[2]] => [6,2] => [2] => [[2],[]] => 1
[[2,2,1,1],[1,1]] => [6,2] => [2] => [[2],[]] => 1
[[2,1,1,1,1],[1],[1]] => [6,1,1] => [1,1] => [[1,1],[]] => 1
[[2,1,1,1,1],[2]] => [6,2] => [2] => [[2],[]] => 1
[[2,1,1,1,1],[1,1]] => [6,2] => [2] => [[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]] => [6,2] => [2] => [[2],[]] => 1
[[7],[1]] => [7,1] => [1] => [[1],[]] => 1
[[6,1],[1]] => [7,1] => [1] => [[1],[]] => 1
[[5,2],[1]] => [7,1] => [1] => [[1],[]] => 1
[[5,1,1],[1]] => [7,1] => [1] => [[1],[]] => 1
[[4,3],[1]] => [7,1] => [1] => [[1],[]] => 1
[[4,2,1],[1]] => [7,1] => [1] => [[1],[]] => 1
[[4,1,1,1],[1]] => [7,1] => [1] => [[1],[]] => 1
[[3,3,1],[1]] => [7,1] => [1] => [[1],[]] => 1
[[3,2,2],[1]] => [7,1] => [1] => [[1],[]] => 1
[[3,2,1,1],[1]] => [7,1] => [1] => [[1],[]] => 1
[[3,1,1,1,1],[1]] => [7,1] => [1] => [[1],[]] => 1
[[2,2,2,1],[1]] => [7,1] => [1] => [[1],[]] => 1
[[2,2,1,1,1],[1]] => [7,1] => [1] => [[1],[]] => 1
[[2,1,1,1,1,1],[1]] => [7,1] => [1] => [[1],[]] => 1
[[1,1,1,1,1,1,1],[1]] => [7,1] => [1] => [[1],[]] => 1
[[4],[1],[1],[1],[1],[1]] => [4,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[[4],[2],[1],[1],[1]] => [4,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[4],[2],[2],[1]] => [4,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[4],[3],[1],[1]] => [4,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[4],[3],[2]] => [4,3,2] => [3,2] => [[3,2],[]] => 1
[[4],[4],[1]] => [4,4,1] => [4,1] => [[4,1],[]] => 1
[[3,1],[1],[1],[1],[1],[1]] => [4,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[[3,1],[2],[1],[1],[1]] => [4,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[3,1],[2],[2],[1]] => [4,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[3,1],[1,1],[1],[1],[1]] => [4,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[3,1],[1,1],[1,1],[1]] => [4,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[3,1],[3],[1],[1]] => [4,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[3,1],[3],[2]] => [4,3,2] => [3,2] => [[3,2],[]] => 1
[[3,1],[2,1],[1],[1]] => [4,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[3,1],[2,1],[2]] => [4,3,2] => [3,2] => [[3,2],[]] => 1
[[3,1],[2,1],[1,1]] => [4,3,2] => [3,2] => [[3,2],[]] => 1
[[3,1],[3,1],[1]] => [4,4,1] => [4,1] => [[4,1],[]] => 1
[[2,2],[1],[1],[1],[1],[1]] => [4,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[[2,2],[2],[1],[1],[1]] => [4,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[2,2],[2],[2],[1]] => [4,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[2,2],[1,1],[1],[1],[1]] => [4,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[2,2],[1,1],[1,1],[1]] => [4,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[2,2],[2,1],[1],[1]] => [4,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[2,2],[2,1],[2]] => [4,3,2] => [3,2] => [[3,2],[]] => 1
[[2,2],[2,1],[1,1]] => [4,3,2] => [3,2] => [[3,2],[]] => 1
[[2,2],[2,2],[1]] => [4,4,1] => [4,1] => [[4,1],[]] => 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
[[2,1,1],[2],[1],[1],[1]] => [4,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[2,1,1],[2],[2],[1]] => [4,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[2,1,1],[1,1],[1],[1],[1]] => [4,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[2,1,1],[1,1],[1,1],[1]] => [4,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[2,1,1],[2,1],[1],[1]] => [4,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[2,1,1],[2,1],[2]] => [4,3,2] => [3,2] => [[3,2],[]] => 1
[[2,1,1],[2,1],[1,1]] => [4,3,2] => [3,2] => [[3,2],[]] => 1
[[2,1,1],[1,1,1],[1],[1]] => [4,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[2,1,1],[1,1,1],[1,1]] => [4,3,2] => [3,2] => [[3,2],[]] => 1
[[2,1,1],[2,1,1],[1]] => [4,4,1] => [4,1] => [[4,1],[]] => 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]] => [4,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[1,1,1,1],[1,1],[1,1],[1]] => [4,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[1,1,1,1],[1,1,1],[1],[1]] => [4,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[1,1,1,1],[1,1,1],[1,1]] => [4,3,2] => [3,2] => [[3,2],[]] => 1
[[1,1,1,1],[1,1,1,1],[1]] => [4,4,1] => [4,1] => [[4,1],[]] => 1
[[5],[1],[1],[1],[1]] => [5,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[5],[2],[1],[1]] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[5],[2],[2]] => [5,2,2] => [2,2] => [[2,2],[]] => 1
[[5],[3],[1]] => [5,3,1] => [3,1] => [[3,1],[]] => 1
[[5],[4]] => [5,4] => [4] => [[4],[]] => 1
[[4,1],[1],[1],[1],[1]] => [5,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[4,1],[2],[1],[1]] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[4,1],[2],[2]] => [5,2,2] => [2,2] => [[2,2],[]] => 1
[[4,1],[1,1],[1],[1]] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[4,1],[1,1],[1,1]] => [5,2,2] => [2,2] => [[2,2],[]] => 1
[[4,1],[3],[1]] => [5,3,1] => [3,1] => [[3,1],[]] => 1
[[4,1],[2,1],[1]] => [5,3,1] => [3,1] => [[3,1],[]] => 1
[[4,1],[4]] => [5,4] => [4] => [[4],[]] => 1
[[4,1],[3,1]] => [5,4] => [4] => [[4],[]] => 1
[[3,2],[1],[1],[1],[1]] => [5,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[3,2],[2],[1],[1]] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[3,2],[2],[2]] => [5,2,2] => [2,2] => [[2,2],[]] => 1
[[3,2],[1,1],[1],[1]] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[3,2],[1,1],[1,1]] => [5,2,2] => [2,2] => [[2,2],[]] => 1
[[3,2],[3],[1]] => [5,3,1] => [3,1] => [[3,1],[]] => 1
[[3,2],[2,1],[1]] => [5,3,1] => [3,1] => [[3,1],[]] => 1
[[3,2],[3,1]] => [5,4] => [4] => [[4],[]] => 1
[[3,2],[2,2]] => [5,4] => [4] => [[4],[]] => 1
[[3,1,1],[1],[1],[1],[1]] => [5,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[3,1,1],[2],[1],[1]] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[3,1,1],[2],[2]] => [5,2,2] => [2,2] => [[2,2],[]] => 1
[[3,1,1],[1,1],[1],[1]] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[3,1,1],[1,1],[1,1]] => [5,2,2] => [2,2] => [[2,2],[]] => 1
[[3,1,1],[3],[1]] => [5,3,1] => [3,1] => [[3,1],[]] => 1
[[3,1,1],[2,1],[1]] => [5,3,1] => [3,1] => [[3,1],[]] => 1
[[3,1,1],[1,1,1],[1]] => [5,3,1] => [3,1] => [[3,1],[]] => 1
[[3,1,1],[3,1]] => [5,4] => [4] => [[4],[]] => 1
[[3,1,1],[2,1,1]] => [5,4] => [4] => [[4],[]] => 1
[[2,2,1],[1],[1],[1],[1]] => [5,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[2,2,1],[2],[1],[1]] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,2,1],[2],[2]] => [5,2,2] => [2,2] => [[2,2],[]] => 1
[[2,2,1],[1,1],[1],[1]] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,2,1],[1,1],[1,1]] => [5,2,2] => [2,2] => [[2,2],[]] => 1
[[2,2,1],[2,1],[1]] => [5,3,1] => [3,1] => [[3,1],[]] => 1
[[2,2,1],[1,1,1],[1]] => [5,3,1] => [3,1] => [[3,1],[]] => 1
[[2,2,1],[2,2]] => [5,4] => [4] => [[4],[]] => 1
[[2,2,1],[2,1,1]] => [5,4] => [4] => [[4],[]] => 1
[[2,1,1,1],[1],[1],[1],[1]] => [5,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[2,1,1,1],[2],[1],[1]] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,1,1,1],[2],[2]] => [5,2,2] => [2,2] => [[2,2],[]] => 1
[[2,1,1,1],[1,1],[1],[1]] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,1,1,1],[1,1],[1,1]] => [5,2,2] => [2,2] => [[2,2],[]] => 1
[[2,1,1,1],[2,1],[1]] => [5,3,1] => [3,1] => [[3,1],[]] => 1
[[2,1,1,1],[1,1,1],[1]] => [5,3,1] => [3,1] => [[3,1],[]] => 1
[[2,1,1,1],[2,1,1]] => [5,4] => [4] => [[4],[]] => 1
[[2,1,1,1],[1,1,1,1]] => [5,4] => [4] => [[4],[]] => 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]] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[1,1,1,1,1],[1,1],[1,1]] => [5,2,2] => [2,2] => [[2,2],[]] => 1
[[1,1,1,1,1],[1,1,1],[1]] => [5,3,1] => [3,1] => [[3,1],[]] => 1
[[1,1,1,1,1],[1,1,1,1]] => [5,4] => [4] => [[4],[]] => 1
[[6],[1],[1],[1]] => [6,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[6],[2],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[6],[3]] => [6,3] => [3] => [[3],[]] => 1
[[5,1],[1],[1],[1]] => [6,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[5,1],[2],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[5,1],[1,1],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[5,1],[3]] => [6,3] => [3] => [[3],[]] => 1
[[5,1],[2,1]] => [6,3] => [3] => [[3],[]] => 1
[[4,2],[1],[1],[1]] => [6,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[4,2],[2],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[4,2],[1,1],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[4,2],[3]] => [6,3] => [3] => [[3],[]] => 1
[[4,2],[2,1]] => [6,3] => [3] => [[3],[]] => 1
[[4,1,1],[1],[1],[1]] => [6,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[4,1,1],[2],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[4,1,1],[1,1],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[4,1,1],[3]] => [6,3] => [3] => [[3],[]] => 1
[[4,1,1],[2,1]] => [6,3] => [3] => [[3],[]] => 1
[[4,1,1],[1,1,1]] => [6,3] => [3] => [[3],[]] => 1
[[3,3],[1],[1],[1]] => [6,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[3,3],[2],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[3,3],[1,1],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[3,3],[3]] => [6,3] => [3] => [[3],[]] => 1
[[3,3],[2,1]] => [6,3] => [3] => [[3],[]] => 1
[[3,2,1],[1],[1],[1]] => [6,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[3,2,1],[2],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[3,2,1],[1,1],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[3,2,1],[3]] => [6,3] => [3] => [[3],[]] => 1
[[3,2,1],[2,1]] => [6,3] => [3] => [[3],[]] => 1
[[3,2,1],[1,1,1]] => [6,3] => [3] => [[3],[]] => 1
[[3,1,1,1],[1],[1],[1]] => [6,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[3,1,1,1],[2],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[3,1,1,1],[1,1],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[3,1,1,1],[3]] => [6,3] => [3] => [[3],[]] => 1
[[3,1,1,1],[2,1]] => [6,3] => [3] => [[3],[]] => 1
[[3,1,1,1],[1,1,1]] => [6,3] => [3] => [[3],[]] => 1
[[2,2,2],[1],[1],[1]] => [6,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[2,2,2],[2],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[2,2,2],[1,1],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[2,2,2],[2,1]] => [6,3] => [3] => [[3],[]] => 1
[[2,2,2],[1,1,1]] => [6,3] => [3] => [[3],[]] => 1
[[2,2,1,1],[1],[1],[1]] => [6,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[2,2,1,1],[2],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[2,2,1,1],[1,1],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[2,2,1,1],[2,1]] => [6,3] => [3] => [[3],[]] => 1
[[2,2,1,1],[1,1,1]] => [6,3] => [3] => [[3],[]] => 1
[[2,1,1,1,1],[1],[1],[1]] => [6,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[2,1,1,1,1],[2],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[2,1,1,1,1],[1,1],[1]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[2,1,1,1,1],[2,1]] => [6,3] => [3] => [[3],[]] => 1
[[2,1,1,1,1],[1,1,1]] => [6,3] => [3] => [[3],[]] => 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]] => [6,2,1] => [2,1] => [[2,1],[]] => 1
[[1,1,1,1,1,1],[1,1,1]] => [6,3] => [3] => [[3],[]] => 1
[[7],[1],[1]] => [7,1,1] => [1,1] => [[1,1],[]] => 1
[[7],[2]] => [7,2] => [2] => [[2],[]] => 1
[[6,1],[1],[1]] => [7,1,1] => [1,1] => [[1,1],[]] => 1
[[6,1],[2]] => [7,2] => [2] => [[2],[]] => 1
[[6,1],[1,1]] => [7,2] => [2] => [[2],[]] => 1
[[5,2],[1],[1]] => [7,1,1] => [1,1] => [[1,1],[]] => 1
[[5,2],[2]] => [7,2] => [2] => [[2],[]] => 1
[[5,2],[1,1]] => [7,2] => [2] => [[2],[]] => 1
[[5,1,1],[1],[1]] => [7,1,1] => [1,1] => [[1,1],[]] => 1
[[5,1,1],[2]] => [7,2] => [2] => [[2],[]] => 1
[[5,1,1],[1,1]] => [7,2] => [2] => [[2],[]] => 1
[[4,3],[1],[1]] => [7,1,1] => [1,1] => [[1,1],[]] => 1
[[4,3],[2]] => [7,2] => [2] => [[2],[]] => 1
[[4,3],[1,1]] => [7,2] => [2] => [[2],[]] => 1
[[4,2,1],[1],[1]] => [7,1,1] => [1,1] => [[1,1],[]] => 1
[[4,2,1],[2]] => [7,2] => [2] => [[2],[]] => 1
[[4,2,1],[1,1]] => [7,2] => [2] => [[2],[]] => 1
[[4,1,1,1],[1],[1]] => [7,1,1] => [1,1] => [[1,1],[]] => 1
[[4,1,1,1],[2]] => [7,2] => [2] => [[2],[]] => 1
[[4,1,1,1],[1,1]] => [7,2] => [2] => [[2],[]] => 1
[[3,3,1],[1],[1]] => [7,1,1] => [1,1] => [[1,1],[]] => 1
[[3,3,1],[2]] => [7,2] => [2] => [[2],[]] => 1
[[3,3,1],[1,1]] => [7,2] => [2] => [[2],[]] => 1
[[3,2,2],[1],[1]] => [7,1,1] => [1,1] => [[1,1],[]] => 1
[[3,2,2],[2]] => [7,2] => [2] => [[2],[]] => 1
[[3,2,2],[1,1]] => [7,2] => [2] => [[2],[]] => 1
[[3,2,1,1],[1],[1]] => [7,1,1] => [1,1] => [[1,1],[]] => 1
[[3,2,1,1],[2]] => [7,2] => [2] => [[2],[]] => 1
[[3,2,1,1],[1,1]] => [7,2] => [2] => [[2],[]] => 1
[[3,1,1,1,1],[1],[1]] => [7,1,1] => [1,1] => [[1,1],[]] => 1
[[3,1,1,1,1],[2]] => [7,2] => [2] => [[2],[]] => 1
[[3,1,1,1,1],[1,1]] => [7,2] => [2] => [[2],[]] => 1
[[2,2,2,1],[1],[1]] => [7,1,1] => [1,1] => [[1,1],[]] => 1
[[2,2,2,1],[2]] => [7,2] => [2] => [[2],[]] => 1
[[2,2,2,1],[1,1]] => [7,2] => [2] => [[2],[]] => 1
[[2,2,1,1,1],[1],[1]] => [7,1,1] => [1,1] => [[1,1],[]] => 1
[[2,2,1,1,1],[2]] => [7,2] => [2] => [[2],[]] => 1
[[2,2,1,1,1],[1,1]] => [7,2] => [2] => [[2],[]] => 1
[[2,1,1,1,1,1],[1],[1]] => [7,1,1] => [1,1] => [[1,1],[]] => 1
[[2,1,1,1,1,1],[2]] => [7,2] => [2] => [[2],[]] => 1
[[2,1,1,1,1,1],[1,1]] => [7,2] => [2] => [[2],[]] => 1
[[1,1,1,1,1,1,1],[1],[1]] => [7,1,1] => [1,1] => [[1,1],[]] => 1
[[1,1,1,1,1,1,1],[1,1]] => [7,2] => [2] => [[2],[]] => 1
[[8],[1]] => [8,1] => [1] => [[1],[]] => 1
[[7,1],[1]] => [8,1] => [1] => [[1],[]] => 1
[[6,2],[1]] => [8,1] => [1] => [[1],[]] => 1
[[6,1,1],[1]] => [8,1] => [1] => [[1],[]] => 1
[[5,3],[1]] => [8,1] => [1] => [[1],[]] => 1
[[5,2,1],[1]] => [8,1] => [1] => [[1],[]] => 1
[[5,1,1,1],[1]] => [8,1] => [1] => [[1],[]] => 1
[[4,4],[1]] => [8,1] => [1] => [[1],[]] => 1
[[4,3,1],[1]] => [8,1] => [1] => [[1],[]] => 1
[[4,2,2],[1]] => [8,1] => [1] => [[1],[]] => 1
[[4,2,1,1],[1]] => [8,1] => [1] => [[1],[]] => 1
[[4,1,1,1,1],[1]] => [8,1] => [1] => [[1],[]] => 1
[[3,3,2],[1]] => [8,1] => [1] => [[1],[]] => 1
[[3,3,1,1],[1]] => [8,1] => [1] => [[1],[]] => 1
[[3,2,2,1],[1]] => [8,1] => [1] => [[1],[]] => 1
[[3,2,1,1,1],[1]] => [8,1] => [1] => [[1],[]] => 1
[[3,1,1,1,1,1],[1]] => [8,1] => [1] => [[1],[]] => 1
[[2,2,2,2],[1]] => [8,1] => [1] => [[1],[]] => 1
[[2,2,2,1,1],[1]] => [8,1] => [1] => [[1],[]] => 1
[[2,2,1,1,1,1],[1]] => [8,1] => [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]] => [8,1] => [1] => [[1],[]] => 1
[[5],[1],[1],[1],[1],[1]] => [5,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[[5],[2],[1],[1],[1]] => [5,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[5],[2],[2],[1]] => [5,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[5],[3],[1],[1]] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[5],[3],[2]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[5],[4],[1]] => [5,4,1] => [4,1] => [[4,1],[]] => 1
[[5],[5]] => [5,5] => [5] => [[5],[]] => 1
[[4,1],[1],[1],[1],[1],[1]] => [5,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[[4,1],[2],[1],[1],[1]] => [5,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[4,1],[2],[2],[1]] => [5,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[4,1],[1,1],[1],[1],[1]] => [5,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[4,1],[1,1],[1,1],[1]] => [5,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[4,1],[3],[1],[1]] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[4,1],[3],[2]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[4,1],[2,1],[1],[1]] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[4,1],[2,1],[2]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[4,1],[2,1],[1,1]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[4,1],[4],[1]] => [5,4,1] => [4,1] => [[4,1],[]] => 1
[[4,1],[3,1],[1]] => [5,4,1] => [4,1] => [[4,1],[]] => 1
[[4,1],[4,1]] => [5,5] => [5] => [[5],[]] => 1
[[3,2],[1],[1],[1],[1],[1]] => [5,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[[3,2],[2],[1],[1],[1]] => [5,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[3,2],[2],[2],[1]] => [5,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[3,2],[1,1],[1],[1],[1]] => [5,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[3,2],[1,1],[1,1],[1]] => [5,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[3,2],[3],[1],[1]] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[3,2],[3],[2]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[3,2],[2,1],[1],[1]] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[3,2],[2,1],[2]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[3,2],[2,1],[1,1]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[3,2],[3,1],[1]] => [5,4,1] => [4,1] => [[4,1],[]] => 1
[[3,2],[2,2],[1]] => [5,4,1] => [4,1] => [[4,1],[]] => 1
[[3,2],[3,2]] => [5,5] => [5] => [[5],[]] => 1
[[3,1,1],[1],[1],[1],[1],[1]] => [5,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[[3,1,1],[2],[1],[1],[1]] => [5,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[3,1,1],[2],[2],[1]] => [5,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[3,1,1],[1,1],[1],[1],[1]] => [5,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[3,1,1],[1,1],[1,1],[1]] => [5,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[3,1,1],[3],[1],[1]] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[3,1,1],[3],[2]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[3,1,1],[2,1],[1],[1]] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[3,1,1],[2,1],[2]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[3,1,1],[2,1],[1,1]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[3,1,1],[1,1,1],[1],[1]] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[3,1,1],[1,1,1],[1,1]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[3,1,1],[3,1],[1]] => [5,4,1] => [4,1] => [[4,1],[]] => 1
[[3,1,1],[2,1,1],[1]] => [5,4,1] => [4,1] => [[4,1],[]] => 1
[[3,1,1],[3,1,1]] => [5,5] => [5] => [[5],[]] => 1
[[2,2,1],[1],[1],[1],[1],[1]] => [5,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[[2,2,1],[2],[1],[1],[1]] => [5,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[2,2,1],[2],[2],[1]] => [5,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[2,2,1],[1,1],[1],[1],[1]] => [5,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[2,2,1],[1,1],[1,1],[1]] => [5,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[2,2,1],[2,1],[1],[1]] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[2,2,1],[2,1],[2]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[2,2,1],[2,1],[1,1]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[2,2,1],[1,1,1],[1],[1]] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[2,2,1],[1,1,1],[1,1]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[2,2,1],[2,2],[1]] => [5,4,1] => [4,1] => [[4,1],[]] => 1
[[2,2,1],[2,1,1],[1]] => [5,4,1] => [4,1] => [[4,1],[]] => 1
[[2,2,1],[2,2,1]] => [5,5] => [5] => [[5],[]] => 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
[[2,1,1,1],[2],[1],[1],[1]] => [5,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[2,1,1,1],[2],[2],[1]] => [5,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[2,1,1,1],[1,1],[1],[1],[1]] => [5,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[2,1,1,1],[1,1],[1,1],[1]] => [5,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[2,1,1,1],[2,1],[1],[1]] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[2,1,1,1],[2,1],[2]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[2,1,1,1],[2,1],[1,1]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[2,1,1,1],[1,1,1],[1],[1]] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[2,1,1,1],[1,1,1],[1,1]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[2,1,1,1],[2,1,1],[1]] => [5,4,1] => [4,1] => [[4,1],[]] => 1
[[2,1,1,1],[1,1,1,1],[1]] => [5,4,1] => [4,1] => [[4,1],[]] => 1
[[2,1,1,1],[2,1,1,1]] => [5,5] => [5] => [[5],[]] => 1
[[1,1,1,1,1],[1],[1],[1],[1],[1]] => [5,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 1
[[1,1,1,1,1],[1,1],[1],[1],[1]] => [5,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 1
[[1,1,1,1,1],[1,1],[1,1],[1]] => [5,2,2,1] => [2,2,1] => [[2,2,1],[]] => 1
[[1,1,1,1,1],[1,1,1],[1],[1]] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 1
[[1,1,1,1,1],[1,1,1],[1,1]] => [5,3,2] => [3,2] => [[3,2],[]] => 1
[[1,1,1,1,1],[1,1,1,1],[1]] => [5,4,1] => [4,1] => [[4,1],[]] => 1
[[1,1,1,1,1],[1,1,1,1,1]] => [5,5] => [5] => [[5],[]] => 1
[[6],[1],[1],[1],[1]] => [6,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[6],[2],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[6],[2],[2]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[6],[3],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[6],[4]] => [6,4] => [4] => [[4],[]] => 1
[[5,1],[1],[1],[1],[1]] => [6,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[5,1],[2],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[5,1],[2],[2]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[5,1],[1,1],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[5,1],[1,1],[1,1]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[5,1],[3],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[5,1],[2,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[5,1],[4]] => [6,4] => [4] => [[4],[]] => 1
[[5,1],[3,1]] => [6,4] => [4] => [[4],[]] => 1
[[4,2],[1],[1],[1],[1]] => [6,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[4,2],[2],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[4,2],[2],[2]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[4,2],[1,1],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[4,2],[1,1],[1,1]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[4,2],[3],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[4,2],[2,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[4,2],[4]] => [6,4] => [4] => [[4],[]] => 1
[[4,2],[3,1]] => [6,4] => [4] => [[4],[]] => 1
[[4,2],[2,2]] => [6,4] => [4] => [[4],[]] => 1
[[4,1,1],[1],[1],[1],[1]] => [6,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[4,1,1],[2],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[4,1,1],[2],[2]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[4,1,1],[1,1],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[4,1,1],[1,1],[1,1]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[4,1,1],[3],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[4,1,1],[2,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[4,1,1],[1,1,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[4,1,1],[4]] => [6,4] => [4] => [[4],[]] => 1
[[4,1,1],[3,1]] => [6,4] => [4] => [[4],[]] => 1
[[4,1,1],[2,1,1]] => [6,4] => [4] => [[4],[]] => 1
[[3,3],[1],[1],[1],[1]] => [6,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[3,3],[2],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[3,3],[2],[2]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[3,3],[1,1],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[3,3],[1,1],[1,1]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[3,3],[3],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[3,3],[2,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[3,3],[3,1]] => [6,4] => [4] => [[4],[]] => 1
[[3,3],[2,2]] => [6,4] => [4] => [[4],[]] => 1
[[3,2,1],[1],[1],[1],[1]] => [6,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[3,2,1],[2],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[3,2,1],[2],[2]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[3,2,1],[1,1],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[3,2,1],[1,1],[1,1]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[3,2,1],[3],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[3,2,1],[2,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[3,2,1],[1,1,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[3,2,1],[3,1]] => [6,4] => [4] => [[4],[]] => 1
[[3,2,1],[2,2]] => [6,4] => [4] => [[4],[]] => 1
[[3,2,1],[2,1,1]] => [6,4] => [4] => [[4],[]] => 1
[[3,1,1,1],[1],[1],[1],[1]] => [6,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[3,1,1,1],[2],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[3,1,1,1],[2],[2]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[3,1,1,1],[1,1],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[3,1,1,1],[1,1],[1,1]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[3,1,1,1],[3],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[3,1,1,1],[2,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[3,1,1,1],[1,1,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[3,1,1,1],[3,1]] => [6,4] => [4] => [[4],[]] => 1
[[3,1,1,1],[2,1,1]] => [6,4] => [4] => [[4],[]] => 1
[[3,1,1,1],[1,1,1,1]] => [6,4] => [4] => [[4],[]] => 1
[[2,2,2],[1],[1],[1],[1]] => [6,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[2,2,2],[2],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,2,2],[2],[2]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[2,2,2],[1,1],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,2,2],[1,1],[1,1]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[2,2,2],[2,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[2,2,2],[1,1,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[2,2,2],[2,2]] => [6,4] => [4] => [[4],[]] => 1
[[2,2,2],[2,1,1]] => [6,4] => [4] => [[4],[]] => 1
[[2,2,1,1],[1],[1],[1],[1]] => [6,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[2,2,1,1],[2],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,2,1,1],[2],[2]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[2,2,1,1],[1,1],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,2,1,1],[1,1],[1,1]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[2,2,1,1],[2,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[2,2,1,1],[1,1,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[2,2,1,1],[2,2]] => [6,4] => [4] => [[4],[]] => 1
[[2,2,1,1],[2,1,1]] => [6,4] => [4] => [[4],[]] => 1
[[2,2,1,1],[1,1,1,1]] => [6,4] => [4] => [[4],[]] => 1
[[2,1,1,1,1],[1],[1],[1],[1]] => [6,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[2,1,1,1,1],[2],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,1,1,1,1],[2],[2]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[2,1,1,1,1],[1,1],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[2,1,1,1,1],[1,1],[1,1]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[2,1,1,1,1],[2,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[2,1,1,1,1],[1,1,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[2,1,1,1,1],[2,1,1]] => [6,4] => [4] => [[4],[]] => 1
[[2,1,1,1,1],[1,1,1,1]] => [6,4] => [4] => [[4],[]] => 1
[[1,1,1,1,1,1],[1],[1],[1],[1]] => [6,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 1
[[1,1,1,1,1,1],[1,1],[1],[1]] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 1
[[1,1,1,1,1,1],[1,1],[1,1]] => [6,2,2] => [2,2] => [[2,2],[]] => 1
[[1,1,1,1,1,1],[1,1,1],[1]] => [6,3,1] => [3,1] => [[3,1],[]] => 1
[[1,1,1,1,1,1],[1,1,1,1]] => [6,4] => [4] => [[4],[]] => 1
[[7],[1],[1],[1]] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[7],[2],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[7],[3]] => [7,3] => [3] => [[3],[]] => 1
[[6,1],[1],[1],[1]] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[6,1],[2],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[6,1],[1,1],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[6,1],[3]] => [7,3] => [3] => [[3],[]] => 1
[[6,1],[2,1]] => [7,3] => [3] => [[3],[]] => 1
[[5,2],[1],[1],[1]] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[5,2],[2],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[5,2],[1,1],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[5,2],[3]] => [7,3] => [3] => [[3],[]] => 1
[[5,2],[2,1]] => [7,3] => [3] => [[3],[]] => 1
[[5,1,1],[1],[1],[1]] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[5,1,1],[2],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[5,1,1],[1,1],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[5,1,1],[3]] => [7,3] => [3] => [[3],[]] => 1
[[5,1,1],[2,1]] => [7,3] => [3] => [[3],[]] => 1
[[5,1,1],[1,1,1]] => [7,3] => [3] => [[3],[]] => 1
[[4,3],[1],[1],[1]] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[4,3],[2],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[4,3],[1,1],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[4,3],[3]] => [7,3] => [3] => [[3],[]] => 1
[[4,3],[2,1]] => [7,3] => [3] => [[3],[]] => 1
[[4,2,1],[1],[1],[1]] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[4,2,1],[2],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[4,2,1],[1,1],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[4,2,1],[3]] => [7,3] => [3] => [[3],[]] => 1
[[4,2,1],[2,1]] => [7,3] => [3] => [[3],[]] => 1
[[4,2,1],[1,1,1]] => [7,3] => [3] => [[3],[]] => 1
[[4,1,1,1],[1],[1],[1]] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[4,1,1,1],[2],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[4,1,1,1],[1,1],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[4,1,1,1],[3]] => [7,3] => [3] => [[3],[]] => 1
[[4,1,1,1],[2,1]] => [7,3] => [3] => [[3],[]] => 1
[[4,1,1,1],[1,1,1]] => [7,3] => [3] => [[3],[]] => 1
[[3,3,1],[1],[1],[1]] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[3,3,1],[2],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[3,3,1],[1,1],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[3,3,1],[3]] => [7,3] => [3] => [[3],[]] => 1
[[3,3,1],[2,1]] => [7,3] => [3] => [[3],[]] => 1
[[3,3,1],[1,1,1]] => [7,3] => [3] => [[3],[]] => 1
[[3,2,2],[1],[1],[1]] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[3,2,2],[2],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[3,2,2],[1,1],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[3,2,2],[3]] => [7,3] => [3] => [[3],[]] => 1
[[3,2,2],[2,1]] => [7,3] => [3] => [[3],[]] => 1
[[3,2,2],[1,1,1]] => [7,3] => [3] => [[3],[]] => 1
[[3,2,1,1],[1],[1],[1]] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[3,2,1,1],[2],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[3,2,1,1],[1,1],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[3,2,1,1],[3]] => [7,3] => [3] => [[3],[]] => 1
[[3,2,1,1],[2,1]] => [7,3] => [3] => [[3],[]] => 1
[[3,2,1,1],[1,1,1]] => [7,3] => [3] => [[3],[]] => 1
[[3,1,1,1,1],[1],[1],[1]] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[3,1,1,1,1],[2],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[3,1,1,1,1],[1,1],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[3,1,1,1,1],[3]] => [7,3] => [3] => [[3],[]] => 1
[[3,1,1,1,1],[2,1]] => [7,3] => [3] => [[3],[]] => 1
[[3,1,1,1,1],[1,1,1]] => [7,3] => [3] => [[3],[]] => 1
[[2,2,2,1],[1],[1],[1]] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[2,2,2,1],[2],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[2,2,2,1],[1,1],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[2,2,2,1],[2,1]] => [7,3] => [3] => [[3],[]] => 1
[[2,2,2,1],[1,1,1]] => [7,3] => [3] => [[3],[]] => 1
[[2,2,1,1,1],[1],[1],[1]] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[2,2,1,1,1],[2],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[2,2,1,1,1],[1,1],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[2,2,1,1,1],[2,1]] => [7,3] => [3] => [[3],[]] => 1
[[2,2,1,1,1],[1,1,1]] => [7,3] => [3] => [[3],[]] => 1
[[2,1,1,1,1,1],[1],[1],[1]] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[2,1,1,1,1,1],[2],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[2,1,1,1,1,1],[1,1],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[2,1,1,1,1,1],[2,1]] => [7,3] => [3] => [[3],[]] => 1
[[2,1,1,1,1,1],[1,1,1]] => [7,3] => [3] => [[3],[]] => 1
[[1,1,1,1,1,1,1],[1],[1],[1]] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 1
[[1,1,1,1,1,1,1],[1,1],[1]] => [7,2,1] => [2,1] => [[2,1],[]] => 1
[[1,1,1,1,1,1,1],[1,1,1]] => [7,3] => [3] => [[3],[]] => 1
[[8],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[8],[2]] => [8,2] => [2] => [[2],[]] => 1
[[7,1],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[7,1],[2]] => [8,2] => [2] => [[2],[]] => 1
[[7,1],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[6,2],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[6,2],[2]] => [8,2] => [2] => [[2],[]] => 1
[[6,2],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[6,1,1],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[6,1,1],[2]] => [8,2] => [2] => [[2],[]] => 1
[[6,1,1],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[5,3],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[5,3],[2]] => [8,2] => [2] => [[2],[]] => 1
[[5,3],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[5,2,1],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[5,2,1],[2]] => [8,2] => [2] => [[2],[]] => 1
[[5,2,1],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[5,1,1,1],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[5,1,1,1],[2]] => [8,2] => [2] => [[2],[]] => 1
[[5,1,1,1],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[4,4],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[4,4],[2]] => [8,2] => [2] => [[2],[]] => 1
[[4,4],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[4,3,1],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[4,3,1],[2]] => [8,2] => [2] => [[2],[]] => 1
[[4,3,1],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[4,2,2],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[4,2,2],[2]] => [8,2] => [2] => [[2],[]] => 1
[[4,2,2],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[4,2,1,1],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[4,2,1,1],[2]] => [8,2] => [2] => [[2],[]] => 1
[[4,2,1,1],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[4,1,1,1,1],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[4,1,1,1,1],[2]] => [8,2] => [2] => [[2],[]] => 1
[[4,1,1,1,1],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[3,3,2],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[3,3,2],[2]] => [8,2] => [2] => [[2],[]] => 1
[[3,3,2],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[3,3,1,1],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[3,3,1,1],[2]] => [8,2] => [2] => [[2],[]] => 1
[[3,3,1,1],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[3,2,2,1],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[3,2,2,1],[2]] => [8,2] => [2] => [[2],[]] => 1
[[3,2,2,1],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[3,2,1,1,1],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[3,2,1,1,1],[2]] => [8,2] => [2] => [[2],[]] => 1
[[3,2,1,1,1],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[3,1,1,1,1,1],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[3,1,1,1,1,1],[2]] => [8,2] => [2] => [[2],[]] => 1
[[3,1,1,1,1,1],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[2,2,2,2],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[2,2,2,2],[2]] => [8,2] => [2] => [[2],[]] => 1
[[2,2,2,2],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[2,2,2,1,1],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[2,2,2,1,1],[2]] => [8,2] => [2] => [[2],[]] => 1
[[2,2,2,1,1],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[2,2,1,1,1,1],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[2,2,1,1,1,1],[2]] => [8,2] => [2] => [[2],[]] => 1
[[2,2,1,1,1,1],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[2,1,1,1,1,1,1],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[2,1,1,1,1,1,1],[2]] => [8,2] => [2] => [[2],[]] => 1
[[2,1,1,1,1,1,1],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[1,1,1,1,1,1,1,1],[1],[1]] => [8,1,1] => [1,1] => [[1,1],[]] => 1
[[1,1,1,1,1,1,1,1],[1,1]] => [8,2] => [2] => [[2],[]] => 1
[[9],[1]] => [9,1] => [1] => [[1],[]] => 1
[[8,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[7,2],[1]] => [9,1] => [1] => [[1],[]] => 1
[[7,1,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[6,3],[1]] => [9,1] => [1] => [[1],[]] => 1
[[6,2,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[6,1,1,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[5,4],[1]] => [9,1] => [1] => [[1],[]] => 1
[[5,3,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[5,2,2],[1]] => [9,1] => [1] => [[1],[]] => 1
[[5,2,1,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[5,1,1,1,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[4,4,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[4,3,2],[1]] => [9,1] => [1] => [[1],[]] => 1
[[4,3,1,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[4,2,2,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[4,2,1,1,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[4,1,1,1,1,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[3,3,3],[1]] => [9,1] => [1] => [[1],[]] => 1
[[3,3,2,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[3,3,1,1,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[3,2,2,2],[1]] => [9,1] => [1] => [[1],[]] => 1
[[3,2,2,1,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[3,2,1,1,1,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[3,1,1,1,1,1,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[2,2,2,2,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[2,2,2,1,1,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[2,2,1,1,1,1,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[2,1,1,1,1,1,1,1],[1]] => [9,1] => [1] => [[1],[]] => 1
[[1,1,1,1,1,1,1,1,1],[1]] => [9,1] => [1] => [[1],[]] => 1
search for individual values
searching the database for the individual values of this statistic
Description
The number of connected components of a skew partition.
Map
to skew partition
Description
The partition regarded as a skew partition.
Map
first row removal
Description
Removes the first entry of an integer partition
Map
to partition
Description
The underlying integer partition of a plane partition.
This is the partition whose parts are the sums of the individual rows of the plane partition.