Identifier
Values
[[1,2,3,4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4],[3]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4],[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
[[1,3],[2,4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[3],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[2],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[2],[3]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1],[2],[3],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4,5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4,5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,4,5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,5],[3]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,5],[2]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,5],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,5],[2]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,5],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,5],[3]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,4],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,5],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4,5],[3]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[3,5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[2,5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[4,5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[2,5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[4,5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[3,5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3],[4,5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4],[3,5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[3],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[2],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5],[2],[3]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[4],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[2],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5],[2],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[4],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[3],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5],[3],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3],[4],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4],[3],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,5],[3],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1],[2],[3],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1],[2],[4],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1],[3],[4],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2],[3],[4],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2,3,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,3,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,3,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,4,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2,3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2,4],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,3,4],[2]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,4],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,4],[2]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,4],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3,4],[2]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,4],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4,4],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4,4],[2]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2],[3,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,3],[2,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,4],[2,3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2],[3,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[2,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4],[2,3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[3,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4],[3,3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3],[2,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[4,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4],[3,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4],[2,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,3],[2],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,4],[2],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[2],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4],[2],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3],[2],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4],[2],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4],[2],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,4],[2],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1],[2,3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1],[2,4],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[2,3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[2,4],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[3,3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[2,4],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[3,4],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[2,4],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1],[2],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[2],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[2],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
>>> Load all 1042 entries. <<<
[[1,4],[2],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2,2,3,3]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,2,2,3],[3]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,2,3,3],[2]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,2,2],[3,3]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,2,3],[2,3]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,3,3],[2,2]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,2,3],[2],[3]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,2],[2,3,3]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,2],[2,3],[3]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,3],[2,2],[3]] => [2,2,2] => [2,2] => [2] => 2
[[1,1],[2,2],[3,3]] => [2,2,2] => [2,2] => [2] => 2
[[1,2,3,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,5,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,5,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,5,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,4,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,5,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4,5,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[3,4,5,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,6],[3]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,6],[2]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,6],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,6],[2]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,6],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5,6],[2]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,6],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,6],[3]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,6],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5,6],[3]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,6],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5,6],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,4],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,6],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4,6],[3]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,6],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,5,6],[3]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4,5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4,6],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,5,6],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[3,4,5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[3,4,6],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[3,5,6],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[3,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[2,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[4,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[2,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[5,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5],[2,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[4,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[3,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[5,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5],[3,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[5,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5],[4,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3],[4,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4],[3,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3],[5,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,5],[3,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4],[5,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,5],[4,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[3,4],[5,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[3,5],[4,6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[3],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[2],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,6],[2],[3]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[4],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[2],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,6],[2],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5],[2],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,6],[2],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[4],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[3],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,6],[3],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5],[3],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,6],[3],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5],[4],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,6],[4],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3],[4],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4],[3],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,6],[3],[4]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3],[5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,5],[3],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,6],[3],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4],[5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,5],[4],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2,6],[4],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[3,4],[5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[3,5],[4],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[3,6],[4],[5]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1],[2],[3],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1],[2],[4],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1],[2],[5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1],[3],[4],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1],[3],[5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1],[4],[5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2],[3],[4],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2],[3],[5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[2],[4],[5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[3],[4],[5],[6]] => [1,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2,3,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2,4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,3,4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,3,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,3,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,4,5]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,2,3,5,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4,4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4,5,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3,4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4,4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4,5,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,3,4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,3,4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,4,4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,4,5,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2,3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2,5],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,3,5],[2]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,4,5],[2]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,3,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,3,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,4,5],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,5],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,5],[2]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4,5],[2]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,5],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3,5],[2]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,4],[5]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,2,3,5],[4]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,2,4,5],[3]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,3,4,5],[2]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,2,3,5],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,5,5],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,5,5],[2]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,4,5],[2]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4,5],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,5,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,5,5],[2]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4,5],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,4,5],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4,5],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,5,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,5,5],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,3,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,3,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,4,5],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,3,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,3,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,4,5],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,4,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,4,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4,4,5],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,4,5],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,5,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4,5,5],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2],[3,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,3],[2,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,5],[2,3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2],[4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,4],[2,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,5],[2,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,3],[4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,4],[3,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,5],[3,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2],[3,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[2,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,5],[2,3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2],[4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4],[2,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,5],[2,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[3,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,5],[3,3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3],[2,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[4,5]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,2,4],[3,5]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,2,5],[3,4]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,3,4],[2,5]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,3,5],[2,4]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,2,3],[5,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,5],[3,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,5],[2,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4],[4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,5],[4,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,4],[2,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4],[5,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,5],[4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,5],[2,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3],[4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4],[3,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,5],[3,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4],[4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,5],[4,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,4],[3,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4],[5,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,5],[4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,5],[3,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,3],[4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,4],[3,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,5],[3,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,3],[4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,4],[3,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,5],[3,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,4],[4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,5],[4,4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4,4],[3,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,4],[5,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,5],[4,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4,5],[3,5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,3],[2],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,5],[2],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,4],[2],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,5],[2],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,3],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,4],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,5],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[2],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,5],[2],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4],[2],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,5],[2],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3],[2],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,5],[2],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[4],[5]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,2,4],[3],[5]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,2,5],[3],[4]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,3,4],[2],[5]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,3,5],[2],[4]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,4,5],[2],[3]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,2,5],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,5],[2],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5,5],[2],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,4],[2],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,5],[2],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,5],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,5],[2],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5,5],[2],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,5],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,4],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,5],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,5],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,5],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5,5],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,3],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,4],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,5],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,3],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,4],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,5],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,4],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4,4],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4,5],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3,5],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4,5],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,5,5],[3],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1],[2,3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1],[2,5],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1],[2,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1],[2,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1],[3,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1],[3,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[2,3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[2,5],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[2,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[2,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[3,3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[2,5],[3]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[3,4],[5]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,2],[3,5],[4]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,3],[2,4],[5]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,3],[2,5],[4]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,4],[2,5],[3]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,2],[3,5],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[2,5],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[4,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[2,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[4,5],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[2,5],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[3,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[3,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[4,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[3,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[4,5],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[3,5],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2],[3,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2],[3,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3],[3,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3],[3,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3],[4,4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4],[3,5],[4]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3],[4,5],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4],[3,5],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1],[2],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1],[2],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1],[3],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[2],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[2],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[2],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2],[3],[4],[5]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,3],[2],[4],[5]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,4],[2],[3],[5]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,5],[2],[3],[4]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,5],[2],[3],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[2],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5],[2],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3],[3],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4],[3],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1,5],[3],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2],[3],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,3],[3],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,4],[3],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[2,5],[3],[4],[5]] => [2,1,1,1] => [1,1,1] => [1,1] => 1
[[1],[2],[3],[4],[5]] => [1,1,1,1,1] => [1,1,1,1] => [1,1,1] => 1
[[1,1,1,2,3,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2,2,3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,2,4,4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,2,3,3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,3,4,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3,3,4,4]] => [2,2,2] => [2,2] => [2] => 2
[[1,2,2,2,3,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,3,3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,2,3,4,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,3,3,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,3,4,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,4,4,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,3,3,4,4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,1,2,3],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,1,2,4],[3]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,1,3,4],[2]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2,2,3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,2,4],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,3,4],[2]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,2,4],[4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,2,4,4],[2]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,2,3,3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,3,4],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3,3,4],[2]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,3,4],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,4,4],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3,4,4],[2]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3,3,4],[4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,3,4,4],[3]] => [2,2,2] => [2,2] => [2] => 2
[[1,2,2,2,3],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,2,4],[3]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,3,4],[2]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,3,3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,2,3,4],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,3,4],[2]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,2,3,4],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,2,4,4],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,4,4],[2]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,3,3],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,3,4],[3]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3,3,4],[2]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,3,4],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,4,4],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,3,3,4,4],[2]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,4,4],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4,4,4],[3]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4,4,4],[2]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,3,3,4],[4]] => [2,2,2] => [2,2] => [2] => 2
[[2,2,3,4,4],[3]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,1,2],[3,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,1,3],[2,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,1,4],[2,3]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2,2],[3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,3],[2,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,4],[2,3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3,4],[2,2]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,2],[4,4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,2,4],[2,4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,4,4],[2,2]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,2,3],[3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,4],[3,3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3,3],[2,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3,4],[2,3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,3],[4,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,4],[3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3,4],[2,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,4,4],[2,3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3,3],[4,4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,3,4],[3,4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,4,4],[3,3]] => [2,2,2] => [2,2] => [2] => 2
[[1,2,2,2],[3,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,3],[2,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,4],[2,3]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,3],[3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,2,4],[3,3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,3],[2,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,4],[2,3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,2,3],[4,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,2,4],[3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,4],[2,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,4,4],[2,3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,3],[3,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,4],[3,3]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3,3],[2,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,3],[4,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,4],[3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,4,4],[3,3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,3,3,4],[2,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,4],[4,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,4,4],[3,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4,4],[2,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,3,3],[4,4]] => [2,2,2] => [2,2] => [2] => 2
[[2,2,3,4],[3,4]] => [2,2,2] => [2,2] => [2] => 2
[[2,2,4,4],[3,3]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,1,2],[3],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,1,3],[2],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,1,4],[2],[3]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2,2],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,3],[2],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,4],[2],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,4],[2],[4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,2,3],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3,3],[2],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3,4],[2],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2,4],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3,4],[2],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,4,4],[2],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3,4],[3],[4]] => [2,2,2] => [2,2] => [2] => 2
[[1,2,2,2],[3],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,3],[2],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,4],[2],[3]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2,3],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,3],[2],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,4],[2],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,2,4],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,4],[2],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,4,4],[2],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3,3],[3],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3,3],[2],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3,4],[2],[3]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3,4],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,3,3,4],[2],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,3,4,4],[2],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,4,4],[3],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4,4],[2],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,4,4,4],[2],[3]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,3,4],[3],[4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,1],[2,3,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2],[2,3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3],[2,2,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2],[2,4,4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,2],[3,3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3],[2,3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2],[3,4,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3],[2,4,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3],[3,4,4]] => [2,2,2] => [2,2] => [2] => 2
[[1,2,2],[2,3,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2],[3,3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3],[2,3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,2],[3,4,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3],[2,4,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3],[3,3,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[3,4,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,3,3],[2,4,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3],[4,4,4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,3],[3,4,4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,1],[2,3],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,1],[2,4],[3]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2],[2,3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2],[2,4],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3],[2,2],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,4],[2,2],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2],[2,4],[4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,4],[2,2],[4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,2],[3,3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3],[2,3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3],[2,4],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,4],[2,3],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,2],[3,4],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3],[2,4],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,4],[2,3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,4],[2,4],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3],[3,4],[4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,4],[3,3],[4]] => [2,2,2] => [2,2] => [2] => 2
[[1,2,2],[2,3],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2],[2,4],[3]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,2],[3,3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3],[2,3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3],[2,4],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,4],[2,3],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,2],[3,4],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3],[2,4],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,4],[2,3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,4],[2,4],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,3],[3,3],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,3],[2,4],[3]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[3,4],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,4],[3,3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,3,3],[2,4],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,3,4],[2,4],[3]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,4],[3,4],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4],[2,4],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[2,2,3],[3,4],[4]] => [2,2,2] => [2,2] => [2] => 2
[[2,2,4],[3,3],[4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1,1],[2],[3],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1,2],[2],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,3],[2],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,4],[2],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,2],[2],[3],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,2,3],[2],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2,4],[2],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,3,3],[2],[3],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,3,4],[2],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,4,4],[2],[3],[4]] => [3,1,1,1] => [1,1,1] => [1,1] => 1
[[1,1],[2,2],[3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1],[2,2],[4,4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1],[2,3],[3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1],[2,3],[4,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1],[3,3],[4,4]] => [2,2,2] => [2,2] => [2] => 2
[[1,2],[2,3],[3,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2],[2,3],[4,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2],[3,3],[4,4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[2,2],[3,3],[4,4]] => [2,2,2] => [2,2] => [2] => 2
[[1,1],[2,2],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1],[2,3],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1],[2,4],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2],[2,3],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,2],[2,4],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,3],[2,4],[3],[4]] => [2,2,1,1] => [2,1,1] => [1,1] => 1
[[1,1,1,2,2,3,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,2,2,3,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,2,3,3,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,1,2,2,3],[3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,1,2,3,3],[2]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,2,2,3],[3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,2,3,3],[2]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,2,3,3],[3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,3,3,3],[2]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,1,2,2],[3,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,1,2,3],[2,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,1,3,3],[2,2]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,2,2],[3,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,2,3],[2,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,3,3],[2,2]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,2,3],[3,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,3,3],[2,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,3,3,3],[2,2]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,1,2,3],[2],[3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,2,3],[2],[3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,3,3],[2],[3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,1,2],[2,3,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,1,3],[2,2,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,2],[2,3,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,3],[2,2,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,2],[3,3,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,3],[2,3,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,1,2],[2,3],[3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,1,3],[2,2],[3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,2],[2,3],[3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,3],[2,2],[3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2,3],[2,3],[3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,3,3],[2,2],[3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,1],[2,2,3],[3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2],[2,2,3],[3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2],[2,3,3],[3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,1],[2,2],[3,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,2],[2,2],[3,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,3],[2,2],[3,3]] => [3,2,2] => [2,2] => [2] => 2
[[1,1,1,1],[2,2,2],[3,3],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,1,2],[2,2,2],[3,3],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,1,1],[2,2,3],[3,3],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,1,2],[2,2,3],[3,3],[4]] => [3,3,3,1] => [3,3,1] => [3,1] => 3
[[1,1,1,3],[2,2,3],[3,3],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,2,2],[2,2,3],[3,3],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,2,3],[2,2,3],[3,3],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,1,1],[2,2,2],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,1,2],[2,2,2],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,1,1],[2,2,3],[3,4],[4]] => [4,2,2,2] => [2,2,2] => [2,2] => 4
[[1,1,1,2],[2,2,3],[3,4],[4]] => [3,3,2,2] => [3,2,2] => [2,2] => 4
[[1,1,1,3],[2,2,3],[3,4],[4]] => [3,3,2,2] => [3,2,2] => [2,2] => 4
[[1,1,2,2],[2,2,3],[3,4],[4]] => [4,2,2,2] => [2,2,2] => [2,2] => 4
[[1,1,2,3],[2,2,3],[3,4],[4]] => [3,3,2,2] => [3,2,2] => [2,2] => 4
[[1,1,1,1],[2,2,4],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,1,2],[2,2,4],[3,4],[4]] => [3,3,3,1] => [3,3,1] => [3,1] => 3
[[1,1,1,3],[2,2,4],[3,4],[4]] => [3,3,2,2] => [3,2,2] => [2,2] => 4
[[1,1,1,4],[2,2,4],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,2,2],[2,2,4],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,2,3],[2,2,4],[3,4],[4]] => [3,3,2,2] => [3,2,2] => [2,2] => 4
[[1,1,2,4],[2,2,4],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,1,1],[2,3,3],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,1,2],[2,3,3],[3,4],[4]] => [3,3,2,2] => [3,2,2] => [2,2] => 4
[[1,1,1,3],[2,3,3],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,2,2],[2,3,3],[3,4],[4]] => [3,3,2,2] => [3,2,2] => [2,2] => 4
[[1,1,2,3],[2,3,3],[3,4],[4]] => [4,2,2,2] => [2,2,2] => [2,2] => 4
[[1,1,1,1],[2,3,4],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,1,2],[2,3,4],[3,4],[4]] => [3,3,2,2] => [3,2,2] => [2,2] => 4
[[1,1,1,3],[2,3,4],[3,4],[4]] => [3,3,3,1] => [3,3,1] => [3,1] => 3
[[1,1,1,4],[2,3,4],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,2,2],[2,3,4],[3,4],[4]] => [3,3,2,2] => [3,2,2] => [2,2] => 4
[[1,1,2,3],[2,3,4],[3,4],[4]] => [3,3,2,2] => [3,2,2] => [2,2] => 4
[[1,1,2,4],[2,3,4],[3,4],[4]] => [4,2,2,2] => [2,2,2] => [2,2] => 4
[[1,1,3,3],[2,3,4],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,3,4],[2,3,4],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,2,2,2],[2,3,3],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,2,2,3],[2,3,3],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,2,2,2],[2,3,4],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,2,2,3],[2,3,4],[3,4],[4]] => [3,3,3,1] => [3,3,1] => [3,1] => 3
[[1,2,2,4],[2,3,4],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,2,3,3],[2,3,4],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,2,3,4],[2,3,4],[3,4],[4]] => [4,3,2,1] => [3,2,1] => [2,1] => 2
[[1,1,1,1,1],[2,2,2,2],[3,3,3],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,2],[2,2,2,2],[3,3,3],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,2,3],[3,3,3],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,2],[2,2,2,3],[3,3,3],[4,4],[5]] => [4,4,4,2,1] => [4,4,2,1] => [4,2,1] => 8
[[1,1,1,1,3],[2,2,2,3],[3,3,3],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,2,2],[2,2,2,3],[3,3,3],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,2,3],[2,2,2,3],[3,3,3],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,2,2],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,2],[2,2,2,2],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,2,3],[3,3,4],[4,4],[5]] => [5,3,3,3,1] => [3,3,3,1] => [3,3,1] => 9
[[1,1,1,1,2],[2,2,2,3],[3,3,4],[4,4],[5]] => [4,4,3,3,1] => [4,3,3,1] => [3,3,1] => 9
[[1,1,1,1,3],[2,2,2,3],[3,3,4],[4,4],[5]] => [4,4,3,3,1] => [4,3,3,1] => [3,3,1] => 9
[[1,1,1,2,3],[2,2,2,3],[3,3,4],[4,4],[5]] => [4,4,3,3,1] => [4,3,3,1] => [3,3,1] => 9
[[1,1,1,1,1],[2,2,2,4],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,2],[2,2,2,4],[3,3,4],[4,4],[5]] => [4,4,4,2,1] => [4,4,2,1] => [4,2,1] => 8
[[1,1,1,1,3],[2,2,2,4],[3,3,4],[4,4],[5]] => [4,4,3,3,1] => [4,3,3,1] => [3,3,1] => 9
[[1,1,1,1,4],[2,2,2,4],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,2,2],[2,2,2,4],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,2,4],[2,2,2,4],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,3,3],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,3],[2,2,3,3],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,3,4],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,2],[2,2,3,4],[3,3,4],[4,4],[5]] => [4,4,3,3,1] => [4,3,3,1] => [3,3,1] => 9
[[1,1,1,1,4],[2,2,3,4],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,2,3],[2,2,3,4],[3,3,4],[4,4],[5]] => [4,4,3,3,1] => [4,3,3,1] => [3,3,1] => 9
[[1,1,1,3,3],[2,2,3,4],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,3,4],[2,2,3,4],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,2,2],[2,2,3,3],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,2,3],[2,2,3,3],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,2,2],[2,2,3,4],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,2,4],[2,2,3,4],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,3,3],[2,2,3,4],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,3,4],[2,2,3,4],[3,3,4],[4,4],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,2,2],[3,3,3],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,2],[2,2,2,2],[3,3,3],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,2,3],[3,3,3],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,2],[2,2,2,3],[3,3,3],[4,5],[5]] => [4,4,4,2,1] => [4,4,2,1] => [4,2,1] => 8
[[1,1,1,1,3],[2,2,2,3],[3,3,3],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,2,2],[2,2,2,3],[3,3,3],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,2,3],[2,2,2,3],[3,3,3],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,2,2],[3,3,4],[4,5],[5]] => [5,4,2,2,2] => [4,2,2,2] => [2,2,2] => 8
[[1,1,1,1,2],[2,2,2,2],[3,3,4],[4,5],[5]] => [5,4,2,2,2] => [4,2,2,2] => [2,2,2] => 8
[[1,1,1,1,1],[2,2,2,3],[3,3,4],[4,5],[5]] => [5,3,3,2,2] => [3,3,2,2] => [3,2,2] => 12
[[1,1,1,1,2],[2,2,2,3],[3,3,4],[4,5],[5]] => [4,4,3,2,2] => [4,3,2,2] => [3,2,2] => 12
[[1,1,1,1,3],[2,2,2,3],[3,3,4],[4,5],[5]] => [4,4,3,2,2] => [4,3,2,2] => [3,2,2] => 12
[[1,1,1,2,3],[2,2,2,3],[3,3,4],[4,5],[5]] => [4,4,3,2,2] => [4,3,2,2] => [3,2,2] => 12
[[1,1,1,1,1],[2,2,2,4],[3,3,4],[4,5],[5]] => [5,3,3,2,2] => [3,3,2,2] => [3,2,2] => 12
[[1,1,1,1,2],[2,2,2,4],[3,3,4],[4,5],[5]] => [4,4,3,2,2] => [4,3,2,2] => [3,2,2] => 12
[[1,1,1,1,3],[2,2,2,4],[3,3,4],[4,5],[5]] => [4,3,3,3,2] => [3,3,3,2] => [3,3,2] => 18
[[1,1,1,1,4],[2,2,2,4],[3,3,4],[4,5],[5]] => [4,4,3,2,2] => [4,3,2,2] => [3,2,2] => 12
[[1,1,1,1,1],[2,2,3,4],[3,3,4],[4,5],[5]] => [5,3,3,2,2] => [3,3,2,2] => [3,2,2] => 12
[[1,1,1,1,2],[2,2,3,4],[3,3,4],[4,5],[5]] => [4,3,3,3,2] => [3,3,3,2] => [3,3,2] => 18
[[1,1,1,2,3],[2,2,3,4],[3,3,4],[4,5],[5]] => [4,3,3,3,2] => [3,3,3,2] => [3,3,2] => 18
[[1,1,2,3,4],[2,2,3,4],[3,3,4],[4,5],[5]] => [4,4,3,2,2] => [4,3,2,2] => [3,2,2] => 12
[[1,1,1,1,1],[2,2,2,2],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,2],[2,2,2,2],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,2,3],[3,3,5],[4,5],[5]] => [5,3,3,3,1] => [3,3,3,1] => [3,3,1] => 9
[[1,1,1,1,2],[2,2,2,3],[3,3,5],[4,5],[5]] => [4,4,3,3,1] => [4,3,3,1] => [3,3,1] => 9
[[1,1,1,1,3],[2,2,2,3],[3,3,5],[4,5],[5]] => [4,4,3,3,1] => [4,3,3,1] => [3,3,1] => 9
[[1,1,1,1,1],[2,2,2,4],[3,3,5],[4,5],[5]] => [5,3,3,2,2] => [3,3,2,2] => [3,2,2] => 12
[[1,1,1,1,2],[2,2,2,4],[3,3,5],[4,5],[5]] => [4,4,3,2,2] => [4,3,2,2] => [3,2,2] => 12
[[1,1,1,1,3],[2,2,2,4],[3,3,5],[4,5],[5]] => [4,3,3,3,2] => [3,3,3,2] => [3,3,2] => 18
[[1,1,1,1,4],[2,2,2,4],[3,3,5],[4,5],[5]] => [4,3,3,3,2] => [3,3,3,2] => [3,3,2] => 18
[[1,1,1,1,1],[2,2,2,5],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,2],[2,2,2,5],[3,3,5],[4,5],[5]] => [4,4,4,2,1] => [4,4,2,1] => [4,2,1] => 8
[[1,1,1,1,3],[2,2,2,5],[3,3,5],[4,5],[5]] => [4,4,3,3,1] => [4,3,3,1] => [3,3,1] => 9
[[1,1,1,1,4],[2,2,2,5],[3,3,5],[4,5],[5]] => [4,4,3,2,2] => [4,3,2,2] => [3,2,2] => 12
[[1,1,1,1,5],[2,2,2,5],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,2,2],[2,2,2,5],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,2,5],[2,2,2,5],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,3,3],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,3],[2,2,3,3],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,3,5],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,5],[2,2,3,5],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,3,3],[2,2,3,5],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,3,5],[2,2,3,5],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,2,2],[2,2,3,3],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,2,3],[2,2,3,3],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,2,2],[2,2,3,5],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,2,5],[2,2,3,5],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,3,3],[2,2,3,5],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,3,5],[2,2,3,5],[3,3,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,2,2],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,2],[2,2,2,2],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,2,4],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,4],[2,2,2,4],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,2,2],[2,2,2,4],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,2,4],[2,2,2,4],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,2,2],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,2],[2,2,2,2],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,2,3],[3,4,5],[4,5],[5]] => [5,3,3,2,2] => [3,3,2,2] => [3,2,2] => 12
[[1,1,1,1,2],[2,2,2,3],[3,4,5],[4,5],[5]] => [4,4,3,2,2] => [4,3,2,2] => [3,2,2] => 12
[[1,1,1,2,3],[2,2,2,3],[3,4,5],[4,5],[5]] => [4,3,3,3,2] => [3,3,3,2] => [3,3,2] => 18
[[1,1,1,1,1],[2,2,2,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,5],[2,2,2,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,2,2],[2,2,2,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,2,5],[2,2,2,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,3,4],[3,4,5],[4,5],[5]] => [5,3,3,2,2] => [3,3,2,2] => [3,2,2] => 12
[[1,1,1,1,2],[2,2,3,4],[3,4,5],[4,5],[5]] => [4,3,3,3,2] => [3,3,3,2] => [3,3,2] => 18
[[1,1,1,2,3],[2,2,3,4],[3,4,5],[4,5],[5]] => [3,3,3,3,3] => [3,3,3,3] => [3,3,3] => 27
[[1,1,2,3,4],[2,2,3,4],[3,4,5],[4,5],[5]] => [4,3,3,3,2] => [3,3,3,2] => [3,3,2] => 18
[[1,1,1,1,1],[2,2,4,4],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,4],[2,2,4,4],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,2,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,5],[2,2,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,4,4],[2,2,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,4,5],[2,2,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,2,2],[2,2,4,4],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,2,4],[2,2,4,4],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,2,2],[2,2,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,2,5],[2,2,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,4,4],[2,2,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,4,5],[2,2,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,3,3,3],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,3],[2,3,3,3],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,3,3,4],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,4],[2,3,3,4],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,3,3],[2,3,3,4],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,3,4],[2,3,3,4],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,3,3,3],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,3],[2,3,3,3],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,3,3,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,5],[2,3,3,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,3,3],[2,3,3,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,3,5],[2,3,3,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,3,4,4],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,4],[2,3,4,4],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,2],[2,3,4,5],[3,4,5],[4,5],[5]] => [4,4,3,2,2] => [4,3,2,2] => [3,2,2] => 12
[[1,1,1,1,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,2,3],[2,3,4,5],[3,4,5],[4,5],[5]] => [4,3,3,3,2] => [3,3,3,2] => [3,3,2] => 18
[[1,1,1,4,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,4,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,2,3,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [4,4,3,2,2] => [4,3,2,2] => [3,2,2] => 12
[[1,1,3,3,3],[2,3,4,4],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,3,3,4],[2,3,4,4],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,3,3,3],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,3,3,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,3,4,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,3,4,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,2,2],[2,3,3,3],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,2,3],[2,3,3,3],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,2,2],[2,3,3,4],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,2,4],[2,3,3,4],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,3,3],[2,3,3,4],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,3,4],[2,3,3,4],[3,4,4],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,2,2],[2,3,3,3],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,2,3],[2,3,3,3],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,2,2],[2,3,3,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,2,5],[2,3,3,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,3,3],[2,3,3,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,3,5],[2,3,3,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,2,2],[2,3,4,4],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,2,4],[2,3,4,4],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,2,2],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,2,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,4,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,2,4,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,3,3,3],[2,3,4,4],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,3,3,4],[2,3,4,4],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,3,3,3],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,3,3,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,3,4,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,2,3,4,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [5,4,3,2,1] => [4,3,2,1] => [3,2,1] => 6
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]] => [5,5,5,3,2,1] => [5,5,3,2,1] => [5,3,2,1] => 30
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]] => [5,5,5,3,2,1] => [5,5,3,2,1] => [5,3,2,1] => 30
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]] => [5,5,5,3,2,1] => [5,5,3,2,1] => [5,3,2,1] => 30
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]] => [5,5,5,3,2,1] => [5,5,3,2,1] => [5,3,2,1] => 30
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]] => [5,5,5,3,2,1] => [5,5,3,2,1] => [5,3,2,1] => 30
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]] => [5,5,5,3,2,1] => [5,5,3,2,1] => [5,3,2,1] => 30
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,6],[6]] => [6,5,4,2,2,2] => [5,4,2,2,2] => [4,2,2,2] => 32
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,6],[6]] => [6,5,4,2,2,2] => [5,4,2,2,2] => [4,2,2,2] => 32
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]] => [6,5,4,2,2,2] => [5,4,2,2,2] => [4,2,2,2] => 32
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]] => [6,5,4,2,2,2] => [5,4,2,2,2] => [4,2,2,2] => 32
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]] => [6,5,4,2,2,2] => [5,4,2,2,2] => [4,2,2,2] => 32
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]] => [5,5,5,3,2,1] => [5,5,3,2,1] => [5,3,2,1] => 30
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,6],[4,4,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,6],[4,4,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]] => [5,5,5,3,2,1] => [5,5,3,2,1] => [5,3,2,1] => 30
[[1,1,1,1,1,6],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,5,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,5,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]] => [5,5,5,3,2,1] => [5,5,3,2,1] => [5,3,2,1] => 30
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,2,2,2,2],[3,4,5,6],[4,5,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,2],[2,2,2,2,2],[3,4,5,6],[4,5,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,1,1,1,1,1],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,2,3,4,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [6,5,4,3,2,1] => [5,4,3,2,1] => [4,3,2,1] => 24
[[1,2,3,4,5,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,3,4,5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,3,4,6],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,3,4],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,3,5,6],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,3,5],[4,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,3,5],[4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,3,4],[5,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,3,6],[4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,3],[4],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,4,5,6],[3]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,4,5],[3,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,4,6],[3,5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,4],[3,5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,4,5],[3],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,4,6],[3],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,4],[3],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,3,6],[4,5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,3],[4,5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,5,6],[3],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,5],[3,6],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,5],[3],[4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,3],[4,6],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,4],[3,6],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,6],[3],[4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2],[3],[4],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,4,5,6],[2]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,4,5],[2,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,4,6],[2,5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,4],[2,5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,5,6],[2,4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,5],[2,4,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,5],[2,4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,4],[2,5,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,6],[2,4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3],[2,4],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,4,5],[2],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,4,6],[2],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,4],[2],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,5,6],[2],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,5],[2,6],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,5],[2],[4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,4],[2,6],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,6],[2],[4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3],[2],[4],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,5,6],[3,4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,5],[3,4,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,5],[3,4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,4],[3,5,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,6],[3,4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2],[3,4],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,4,5,6],[2],[3]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,4,5],[2,6],[3]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,4,6],[2,5],[3]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,4],[2,5],[3,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,4],[2,5],[3],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,4,5],[2],[3],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,4,6],[2],[3],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,4],[2],[3],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,3],[4,5,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2,6],[3,5],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2],[3,5],[4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3,6],[2,5],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3],[2,5],[4,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3],[2,5],[4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2],[3,5],[4,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,5,6],[2],[3],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,5],[2,6],[3],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,5],[2],[3],[4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2],[3,6],[4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3],[2,4],[5,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,3],[2,6],[4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,2],[3,4],[5,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,4],[2,6],[3],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1,6],[2],[3],[4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
[[1],[2],[3],[4],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 1
search for individual values
searching the database for the individual values of this statistic
Description
The product of the parts of an integer partition.
Map
first row removal
Description
Removes the first entry of an integer partition
Map
weight
Description
The weight of a semistandard tableau as an integer partition.
The weight (or content) of a semistandard tableaux $T$ with maximal entry $m$ is the weak composition $(\alpha_1, \dots, \alpha_m)$ such that $\alpha_i$ is the number of letters $i$ occurring in $T$.
This map returns the integer partition obtained by sorting the weight into decreasing order and omitting zeros.
Since semistandard tableaux are bigraded by the size of the partition and the maximal occurring entry, this map is not graded.