Identifier
Values
[[3,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[3,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[3,3],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,3],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[3,3,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[3,2,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,3,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[3,2,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,3,2],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[2,2,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[3,3,2,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[3,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,3],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,3],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[4,3,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,2,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,3,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[4,2,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,3,2],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[3,2,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[4,3,2,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[4,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[4,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[5,4],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[3,3,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[4,3,1],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[3,3,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4,2],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[3,2,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,3,2],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[3,3,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,3,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[3,2,1,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,3,1,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[4,4,3],[3,3]] => [3,3] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 2
[[4,3,3],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[3,3,3,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[3,2,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,3,2,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[2,2,2,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[3,3,2,2],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[3,2,2,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[[2,2,2,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[3,3,2,1,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[3,2,2,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,2,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[6,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[6,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,3],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[6,3],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[5,3,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,2,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[6,3,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[5,2,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[6,3,2],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[4,2,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[5,3,2,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[5,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[5,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,4],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[6,4],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[4,4,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,3,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,4,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[5,3,1],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[4,3,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,4,2],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[4,2,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,3,2],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[3,3,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[4,4,2,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[4,3,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[4,3,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,2,1,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,3,1,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[5,4,3],[3,3]] => [3,3] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 2
[[5,3,3],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[4,3,3,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[4,2,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,3,2,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[3,2,2,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[4,3,2,2],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[4,2,2,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[[3,2,2,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[4,3,2,1,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[4,2,2,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[4,2,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,5],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[4,4,1],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[5,4,1],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[3,3,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
>>> Load all 418 entries. <<<
[[4,4,2],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[4,3,2],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[3,3,1,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,1,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[4,3,1,1],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[3,3,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4,3],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[4,3,3],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[3,3,3,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,3,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4,2,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[3,2,2,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,3,2,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[3,3,2,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,3,2,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,3,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[3,2,1,1,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,3,1,1,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[4,4,4],[3,3]] => [3,3] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 2
[[4,4,3,1],[3,3]] => [3,3] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 2
[[4,3,3,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[3,3,3,2],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[3,2,2,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,3,2,2],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[3,3,3,1,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[3,2,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,3,2,1,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[2,2,2,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[3,3,2,2,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[3,2,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[[2,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[[2,2,2,1,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[3,3,2,1,1,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[3,2,2,1,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,2,1,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[7,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[7,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[6,3],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[7,3],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[6,3,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[6,2,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[7,3,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[6,2,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[7,3,2],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[5,2,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[6,3,2,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[6,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[6,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,4],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[6,4],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[7,4],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[5,4,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,3,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[6,4,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[6,3,1],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[5,3,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[6,4,2],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[5,2,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[6,3,2],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[4,3,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[5,4,2,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[5,3,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[5,3,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,2,1,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[6,3,1,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[6,4,3],[3,3]] => [3,3] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 2
[[6,3,3],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[5,3,3,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[5,2,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[6,3,2,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[4,2,2,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[5,3,2,2],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[5,2,2,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[4,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[[4,2,2,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[5,3,2,1,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[5,2,2,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[5,2,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,5],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[6,5],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[4,4,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,5,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[5,4,1],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[6,4,1],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[4,4,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,5,2],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[4,3,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,4,2],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[5,3,2],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[4,4,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[4,4,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,3,1,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,4,1,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[5,3,1,1],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[5,5,3],[3,3]] => [3,3] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 2
[[4,3,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,4,3],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[5,3,3],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[3,3,3,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[4,4,3,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[4,3,3,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[4,3,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,4,2,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[4,2,2,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,3,2,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[3,3,2,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[4,4,2,2],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[4,3,2,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,3,2,2,1],[1,1,1,1]] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[[3,3,2,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[4,4,2,1,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[4,3,2,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[4,3,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,2,1,1,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,3,1,1,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[5,4,4],[3,3]] => [3,3] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 2
[[5,4,3,1],[3,3]] => [3,3] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 2
[[5,3,3,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[4,3,3,2],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[4,2,2,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,3,2,2],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[4,3,3,1,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[4,2,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,3,2,1,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[3,2,2,2,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[4,3,2,2,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[4,2,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[[3,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[[3,2,2,1,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[4,3,2,1,1,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[4,2,2,1,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[4,2,1,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,5,1],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[4,4,2],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[5,4,2],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[4,4,1,1],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[5,4,1,1],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[3,3,3],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,3],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[4,3,3],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[3,3,2,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,2,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[4,3,2,1],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[3,3,1,1,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,1,1,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[4,3,1,1,1],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[4,4,4],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[3,3,3,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4,3,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[4,3,3,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[3,3,3,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,3,2,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4,2,2],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[3,2,2,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,3,2,2],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[3,3,3,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,3,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4,2,1,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[3,2,2,1,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,3,2,1,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[3,3,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,3,2,1,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,3,1,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[3,2,1,1,1,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,3,1,1,1,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[4,4,4,1],[3,3]] => [3,3] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 2
[[4,4,3,2],[3,3]] => [3,3] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 2
[[4,3,3,2],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[4,4,3,1,1],[3,3]] => [3,3] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 2
[[4,3,3,1,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[3,3,3,3],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[3,3,3,2,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[3,2,2,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,3,2,2,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[3,3,3,1,1,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[3,2,2,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,3,2,1,1,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[2,2,2,2,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[3,3,2,2,2],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[3,2,2,2,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[2,2,2,2,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[3,3,2,2,1,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[3,2,2,2,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[2,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[[2,2,2,2,1,1,1],[1,1,1,1]] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[[2,2,2,1,1,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[3,3,2,1,1,1,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[3,2,2,1,1,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,2,1,1,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[2,2,2,2,1,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[3,3,2,1,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,3,1,1,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[2,2,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[[3,2,2,2,1,1],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[3,3,2,2,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[4,3,2,1,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4,2,1,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[4,4,3,1,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[5,3,1,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[3,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[[4,3,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[4,3,3,2,1],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[5,3,2,1],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,4,2,1],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[5,4,3,1],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[5,4,4,1],[3,3]] => [3,3] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 2
[[6,4,1],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[5,3,2,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[5,3,3,2],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[6,4,2],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[6,4,3],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[6,4,4],[3,3]] => [3,3] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 2
[[7,4],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[3,3,3,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[3,3,3,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[5,5],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[3,3,3,3],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,3,3,3],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[4,4,4],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[4,4,4],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[3,3,3,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[3,3,2,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[3,3,3,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,3,3],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,3],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[4,4,3],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[3,3,3,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4,4],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[4,4,4],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[3,3,3,3],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,4,1],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,4,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[6,6],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[6,5],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[5,5,5],[3,3]] => [3,3] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 2
[[6,6],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[6,4],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,5,4],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[6,5],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,5,5],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[6,6],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,5,3],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[5,4,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4,4,3],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[5,5,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4,3,3],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[4,3,3,3],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[3,3,3,3,3],[1,1,1,1]] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[[4,4,3,3],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[4,4,4,3],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[4,4,4,3],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[5,5,4],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[5,4,4],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4,4,4],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[5,5,4],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[5,5,5],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[5,5,5],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4,4,4],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[4,4,4,4],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[2,2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[[5,5,2],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[5,4,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,5,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,3,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[3,3,3,3,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[4,4,4,2],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[2,2,2,2,2,2],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[4,4,2,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,3,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,4,2],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[4,4,4,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[3,3,3,3,2],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,5,3],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[5,4,3],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,5,3],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[3,3,3,3,3],[2,2,1]] => [2,2,1] => [1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 2
[[4,4,3,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[3,3,3,3,3],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[[3,3,3,3,3],[1,1,1]] => [1,1,1] => [1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[[4,4,4,3],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[4,4,4,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4,4,4],[3,3]] => [3,3] => [1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 2
[[5,5,4],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[4,4,4,4],[3,2]] => [3,2] => [1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 2
[[5,4,4],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,5,4],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[5,5,5],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[5,5,5],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[5,5,5],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,4,4],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[4,4,4,4],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,3,3,3],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,3,3],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[4,4,3,3],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[3,3,3,3,3],[2,1]] => [2,1] => [1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[[4,4,4,3],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[4,4,4,3],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[3,3,3,3,3],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,4,4],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[4,4,4,4],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[7,7],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[2,2,2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[[3,3,3,3,3,3],[2]] => [2] => [1,0,1,0] => [1,1,0,1,0,0] => 2
[[4,4,4,4,3],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[5,5,5,4],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[4,4,4,4,4],[3,1]] => [3,1] => [1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[[5,5,5,5],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[4,4,4,4,4],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[5,5,5,5,5],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[5,5,5,5,5,5],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
[[4,4,4,4,4,4],[3]] => [3] => [1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 3
[[5,5,5,5,4],[4]] => [4] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 4
search for individual values
searching the database for the individual values of this statistic
Description
The number of simple modules in $eAe$ with projective dimension at most 2 in the corresponding Nakayama algebra $A$ with minimal faithful projective-injective module $eA$.
Map
parallelogram polyomino
Description
Return the Dyck path corresponding to the partition interpreted as a parallogram polyomino.
The Ferrers diagram of an integer partition can be interpreted as a parallogram polyomino, such that each part corresponds to a column.
This map returns the corresponding Dyck path.
Map
prime Dyck path
Description
Return the Dyck path obtained by adding an initial up and a final down step.
Map
inner shape
Description
The inner shape of a skew partition.