[[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] => 9
[[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] => 11
[[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] => 11
[[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] => 18
[[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] => 18
[[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] => 18
[[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] => 18
[[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] => 18
[[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] => 18
[[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] => 38
[[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] => 18
[[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] => 18
[[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] => 38
[[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] => 38
[[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] => 18
[[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] => 10
[[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] => 10
[[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] => 10
[[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] => 18
[[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] => 18
[[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] => 38
[[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] => 38
[[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] => 9
[[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] => 10
[[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] => 18
[[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] => 18
[[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] => 18
[[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] => 38
[[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] => 18
[[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] => 38
[[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] => 94
[[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] => 38
[[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] => 18
[[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] => 38
[[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] => 18
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 1260
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 1260
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 1260
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 1260
[[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] => 636
[[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] => 636
[[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] => 636
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]] => [4,4,4,4,4,1] => [4,4,4,4,1] => [4,4,4,1] => 17370
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 1260
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 1260
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 978
[[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] => 978
[[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] => 978
[[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] => 978
[[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] => 978
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 1260
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 1260
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 636
[[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] => 1260
[[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] => 636
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]] => [4,4,4,3,3,3] => [4,4,3,3,3] => [4,3,3,3] => 46200
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]] => [4,4,4,3,3,3] => [4,4,3,3,3] => [4,3,3,3] => 46200
[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]] => [4,4,4,3,3,3] => [4,4,3,3,3] => [4,3,3,3] => 46200
[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]] => [4,4,4,3,3,3] => [4,4,3,3,3] => [4,3,3,3] => 46200
[[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] => 636
[[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] => 636
[[1,1,1,1,2,3],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]] => [4,4,4,3,3,3] => [4,4,3,3,3] => [4,3,3,3] => 46200
[[1,1,1,2,3,4],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]] => [4,4,4,3,3,3] => [4,4,3,3,3] => [4,3,3,3] => 46200
[[1,1,1,1,2,3],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [4,4,4,3,3,3] => [4,4,3,3,3] => [4,3,3,3] => 46200
[[1,1,1,2,3,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [4,4,4,3,3,3] => [4,4,3,3,3] => [4,3,3,3] => 46200
[[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] => 636
[[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] => 636
[[1,2,3,4,5,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,3,4,5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,3,4,6],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,3,4],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,3,5,6],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,3,5],[4,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,3,5],[4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,3,4],[5,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,3,6],[4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,3],[4],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,4,5,6],[3]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,4,5],[3,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,4,6],[3,5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,4],[3,5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,4,5],[3],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,4,6],[3],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,4],[3],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,3,6],[4,5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,3],[4,5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,5,6],[3],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,5],[3,6],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,5],[3],[4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,3],[4,6],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,4],[3,6],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,6],[3],[4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2],[3],[4],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,4,5,6],[2]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,4,5],[2,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,4,6],[2,5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,4],[2,5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,5,6],[2,4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,5],[2,4,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,5],[2,4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,4],[2,5,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,6],[2,4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3],[2,4],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,4,5],[2],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,4,6],[2],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,4],[2],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,5,6],[2],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,5],[2,6],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,5],[2],[4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,4],[2,6],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,6],[2],[4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3],[2],[4],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,5,6],[3,4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,5],[3,4,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,5],[3,4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,4],[3,5,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,6],[3,4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2],[3,4],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,4,5,6],[2],[3]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,4,5],[2,6],[3]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,4,6],[2,5],[3]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,4],[2,5],[3,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,4],[2,5],[3],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,4,5],[2],[3],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,4,6],[2],[3],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,4],[2],[3],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,3],[4,5,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2,6],[3,5],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2],[3,5],[4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3,6],[2,5],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3],[2,5],[4,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3],[2,5],[4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2],[3,5],[4,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,5,6],[2],[3],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,5],[2,6],[3],[4]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,5],[2],[3],[4],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2],[3,6],[4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3],[2,4],[5,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,3],[2,6],[4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,2],[3,4],[5,6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,4],[2,6],[3],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1,6],[2],[3],[4],[5]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3
[[1],[2],[3],[4],[5],[6]] => [1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => 3