[[4,3,3,1],[3,2,1]] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[[4,3,2,1],[3,2]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 4
[[5,4,3,1],[4,3,1]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 4
[[2,2,2,2],[1,1,1]] => [2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[[3,3,3,2],[2,2,2]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[3,3,2,2],[2,2,1]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[4,4,3,2],[3,3,2]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[[3,2,2,2],[2,1,1]] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => 2
[[4,3,3,2],[3,2,2]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 3
[[4,3,2,2],[3,2,1]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => 3
[[5,4,3,2],[4,3,2]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => 4
[[1,1,1,1,1],[]] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[[2,2,2,2,1],[1,1,1,1]] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 2
[[2,2,2,1,1],[1,1,1]] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 2
[[3,3,3,2,1],[2,2,2,1]] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 3
[[2,2,1,1,1],[1,1]] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 2
[[3,3,2,2,1],[2,2,1,1]] => [3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 3
[[3,3,2,1,1],[2,2,1]] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 3
[[4,4,3,2,1],[3,3,2,1]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 4
[[2,1,1,1,1],[1]] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => 2
[[3,2,2,2,1],[2,1,1,1]] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 3
[[3,2,2,1,1],[2,1,1]] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3
[[4,3,3,2,1],[3,2,2,1]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 4
[[3,2,1,1,1],[2,1]] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 3
[[4,3,2,2,1],[3,2,1,1]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[4,3,2,1,1],[3,2,1]] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 4
[[5,4,3,2,1],[4,3,2,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 5
[[5,1],[]] => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
[[4,2],[]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => 2
[[5,2],[1]] => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
[[4,1,1],[]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 2
[[5,2,1],[1,1]] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[[5,1,1],[1]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 2
[[3,3],[]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 1
[[4,3],[1]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 2
[[5,3],[2]] => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[[3,2,1],[]] => [3,2,1] => [1,0,1,0,1,0,1,0] => 3
[[4,3,1],[1,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 3
[[4,2,1],[1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 3
[[5,3,1],[2,1]] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[[5,2,1],[2]] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[[4,2,2],[1,1]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => 2
[[5,3,2],[2,2]] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => 3
[[5,2,2],[2,1]] => [5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[[3,1,1,1],[]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 2
[[4,2,2,1],[1,1,1]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 3
[[4,2,1,1],[1,1]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 3
[[5,3,2,1],[2,2,1]] => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 4
[[4,1,1,1],[1]] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 2
[[5,2,2,1],[2,1,1]] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 3
[[5,2,1,1],[2,1]] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 3
[[4,4],[2]] => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[[5,4],[3]] => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => 2
[[3,3,1],[1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 2
[[4,4,1],[2,1]] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[4,3,1],[2]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 3
[[5,4,1],[3,1]] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 3
[[5,3,1],[3]] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[[2,2,2],[]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 1
[[3,3,2],[1,1]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => 2
[[4,4,2],[2,2]] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[3,2,2],[1]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => 2
[[4,3,2],[2,1]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => 3
[[5,4,2],[3,2]] => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => 3
[[4,2,2],[2]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => 2
[[5,3,2],[3,1]] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => 3
[[2,2,1,1],[]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => 2
[[3,3,2,1],[1,1,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 3
[[3,3,1,1],[1,1]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 2
[[4,4,2,1],[2,2,1]] => [4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[[3,2,1,1],[1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 3
[[4,3,2,1],[2,1,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 4
[[4,3,1,1],[2,1]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 3
[[5,4,2,1],[3,2,1]] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 4
[[4,2,1,1],[2]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 3
[[5,3,2,1],[3,1,1]] => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 4
[[5,3,1,1],[3,1]] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[[4,3,3],[2,2]] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[5,4,3],[3,3]] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[5,3,3],[3,2]] => [5,3,3] => [1,1,1,0,0,0,1,1,0,0,1,0] => 2
[[3,2,2,1],[1,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 3
[[4,3,3,1],[2,2,1]] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[[4,3,2,1],[2,2]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 4
[[5,4,3,1],[3,3,1]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 4
[[4,2,2,1],[2,1]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 3
[[5,3,3,1],[3,2,1]] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[[5,3,2,1],[3,2]] => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 4
[[3,2,2,2],[1,1,1]] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => 2
[[4,3,3,2],[2,2,2]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 3
[[4,3,2,2],[2,2,1]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => 3
[[5,4,3,2],[3,3,2]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => 4
[[4,2,2,2],[2,1,1]] => [4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2
[[5,3,3,2],[3,2,2]] => [5,3,3,2] => [1,1,0,0,1,0,1,1,0,0,1,0] => 3
[[5,3,2,2],[3,2,1]] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[[2,1,1,1,1],[]] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => 2
[[3,2,2,2,1],[1,1,1,1]] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 3
[[3,2,2,1,1],[1,1,1]] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3
[[4,3,3,2,1],[2,2,2,1]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 4
[[3,2,1,1,1],[1,1]] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 3
[[4,3,2,2,1],[2,2,1,1]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[4,3,2,1,1],[2,2,1]] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 4
[[5,4,3,2,1],[3,3,2,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 5
[[3,1,1,1,1],[1]] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 2
[[4,2,2,2,1],[2,1,1,1]] => [4,2,2,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 3
[[4,2,2,1,1],[2,1,1]] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 3
[[5,3,3,2,1],[3,2,2,1]] => [5,3,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 4
[[4,2,1,1,1],[2,1]] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 3
[[5,3,2,2,1],[3,2,1,1]] => [5,3,2,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 4
[[5,3,2,1,1],[3,2,1]] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 4
[[4,4,1],[3]] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[5,4,1],[4]] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 3
[[3,3,2],[2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => 2
[[4,4,2],[3,1]] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[4,3,2],[3]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => 3
[[5,4,2],[4,1]] => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => 3
[[3,3,1,1],[2]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 2
[[4,4,2,1],[3,1,1]] => [4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[[4,4,1,1],[3,1]] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[[4,3,1,1],[3]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 3
[[5,4,2,1],[4,1,1]] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 4
[[5,4,1,1],[4,1]] => [5,4,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 3
[[3,3,3],[2,1]] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[[4,4,3],[3,2]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[4,3,3],[3,1]] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[5,4,3],[4,2]] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[2,2,2,1],[1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => 2
[[3,3,3,1],[2,1,1]] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[3,3,2,1],[2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 3
[[4,4,3,1],[3,2,1]] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[[4,4,2,1],[3,2]] => [4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[[3,2,2,1],[2]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 3
[[4,3,3,1],[3,1,1]] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[[4,3,2,1],[3,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 4
[[5,4,3,1],[4,2,1]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 4
[[5,4,2,1],[4,2]] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 4
[[3,3,2,2],[2,1,1]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[4,4,3,2],[3,2,2]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[[4,4,2,2],[3,2,1]] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[[4,3,2,2],[3,1,1]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => 3
[[5,4,3,2],[4,2,2]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => 4
[[5,4,2,2],[4,2,1]] => [5,4,2,2] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[[2,2,1,1,1],[1]] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 2
[[3,3,2,2,1],[2,1,1,1]] => [3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 3
[[3,3,2,1,1],[2,1,1]] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 3
[[4,4,3,2,1],[3,2,2,1]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 4
[[3,3,1,1,1],[2,1]] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 2
[[4,4,2,2,1],[3,2,1,1]] => [4,4,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 3
[[4,4,2,1,1],[3,2,1]] => [4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 3
[[3,2,1,1,1],[2]] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 3
[[4,3,2,2,1],[3,1,1,1]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[4,3,2,1,1],[3,1,1]] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 4
[[5,4,3,2,1],[4,2,2,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 5
[[4,3,1,1,1],[3,1]] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 3
[[5,4,2,2,1],[4,2,1,1]] => [5,4,2,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 4
[[5,4,2,1,1],[4,2,1]] => [5,4,2,1,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 4
[[3,3,3,1],[2,2]] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[4,4,3,1],[3,3]] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[[4,3,3,1],[3,2]] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[[5,4,3,1],[4,3]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 4
[[2,2,2,2],[1,1]] => [2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[[3,3,3,2],[2,2,1]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[3,3,2,2],[2,2]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[4,4,3,2],[3,3,1]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[[3,2,2,2],[2,1]] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => 2
[[4,3,3,2],[3,2,1]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 3
[[4,3,2,2],[3,2]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => 3
[[5,4,3,2],[4,3,1]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => 4
[[2,2,2,1,1],[1,1]] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 2
[[3,3,3,2,1],[2,2,1,1]] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 3
[[3,3,3,1,1],[2,2,1]] => [3,3,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => 2
[[3,3,2,1,1],[2,2]] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 3
[[4,4,3,2,1],[3,3,1,1]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 4
[[4,4,3,1,1],[3,3,1]] => [4,4,3,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 3
[[3,2,2,1,1],[2,1]] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3
[[4,3,3,2,1],[3,2,1,1]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 4
[[4,3,3,1,1],[3,2,1]] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 3
[[4,3,2,1,1],[3,2]] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 4
[[5,4,3,2,1],[4,3,1,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 5
[[5,4,3,1,1],[4,3,1]] => [5,4,3,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 4
[[2,2,2,2,1],[1,1,1]] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 2
[[3,3,3,2,1],[2,2,2]] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 3
[[3,3,2,2,1],[2,2,1]] => [3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 3
[[4,4,3,2,1],[3,3,2]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 4
[[3,2,2,2,1],[2,1,1]] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 3
[[4,3,3,2,1],[3,2,2]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 4
[[4,3,2,2,1],[3,2,1]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[5,4,3,2,1],[4,3,2]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 5
[[5,2],[]] => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
[[5,1,1],[]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 2
[[4,3],[]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 2
[[5,3],[1]] => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[[4,2,1],[]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 3
[[5,3,1],[1,1]] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[[5,2,1],[1]] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[[5,2,2],[1,1]] => [5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[[4,1,1,1],[]] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 2
[[5,2,2,1],[1,1,1]] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 3
[[5,2,1,1],[1,1]] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 3
[[5,1,1,1],[1]] => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[[4,4],[1]] => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[[5,4],[2]] => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => 2
[[3,3,1],[]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 2
[[4,4,1],[1,1]] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[4,3,1],[1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 3
[[5,4,1],[2,1]] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 3
[[5,3,1],[2]] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[[3,2,2],[]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => 2
[[4,3,2],[1,1]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => 3
[[5,4,2],[2,2]] => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => 3
[[4,2,2],[1]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => 2
[[5,3,2],[2,1]] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => 3
[[5,2,2],[2]] => [5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[[3,2,1,1],[]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 3
[[4,3,2,1],[1,1,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 4
[[4,3,1,1],[1,1]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 3
[[5,4,2,1],[2,2,1]] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 4
[[4,2,1,1],[1]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 3
[[5,3,2,1],[2,1,1]] => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 4
[[5,3,1,1],[2,1]] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[[5,2,1,1],[2]] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 3
[[5,3,3],[2,2]] => [5,3,3] => [1,1,1,0,0,0,1,1,0,0,1,0] => 2
[[4,2,2,1],[1,1]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 3
[[5,3,3,1],[2,2,1]] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[[5,3,2,1],[2,2]] => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 4
[[5,2,2,1],[2,1]] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 3
[[4,2,2,2],[1,1,1]] => [4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2
[[5,3,3,2],[2,2,2]] => [5,3,3,2] => [1,1,0,0,1,0,1,1,0,0,1,0] => 3
[[5,3,2,2],[2,2,1]] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[[5,2,2,2],[2,1,1]] => [5,2,2,2] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[[3,1,1,1,1],[]] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 2
[[4,2,2,2,1],[1,1,1,1]] => [4,2,2,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 3
[[4,2,2,1,1],[1,1,1]] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 3
[[5,3,3,2,1],[2,2,2,1]] => [5,3,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 4
[[4,2,1,1,1],[1,1]] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 3
[[5,3,2,2,1],[2,2,1,1]] => [5,3,2,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 4
[[5,3,2,1,1],[2,2,1]] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 4
[[4,1,1,1,1],[1]] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2
[[5,2,2,2,1],[2,1,1,1]] => [5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 3
[[5,2,2,1,1],[2,1,1]] => [5,2,2,1,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 3
[[5,2,1,1,1],[2,1]] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 3
[[4,4,1],[2]] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[5,4,1],[3]] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 3
[[3,3,2],[1]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => 2
[[4,4,2],[2,1]] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[4,3,2],[2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => 3
[[5,4,2],[3,1]] => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => 3
[[5,3,2],[3]] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => 3
[[3,3,1,1],[1]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 2
[[4,4,2,1],[2,1,1]] => [4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[[4,4,1,1],[2,1]] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[[4,3,1,1],[2]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 3
[[5,4,2,1],[3,1,1]] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 4
[[5,4,1,1],[3,1]] => [5,4,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 3
[[5,3,1,1],[3]] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[[3,3,3],[1,1]] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[[4,4,3],[2,2]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[4,3,3],[2,1]] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[5,4,3],[3,2]] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[5,3,3],[3,1]] => [5,3,3] => [1,1,1,0,0,0,1,1,0,0,1,0] => 2
[[2,2,2,1],[]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => 2
[[3,3,3,1],[1,1,1]] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[3,3,2,1],[1,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 3
[[4,4,3,1],[2,2,1]] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[[4,4,2,1],[2,2]] => [4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[[3,2,2,1],[1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 3
[[4,3,3,1],[2,1,1]] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[[4,3,2,1],[2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 4
[[5,4,3,1],[3,2,1]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 4
[[5,4,2,1],[3,2]] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 4
[[4,2,2,1],[2]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 3
[[5,3,3,1],[3,1,1]] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[[5,3,2,1],[3,1]] => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 4
[[3,3,2,2],[1,1,1]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[4,4,3,2],[2,2,2]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[[4,4,2,2],[2,2,1]] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[[4,3,2,2],[2,1,1]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => 3
[[5,4,3,2],[3,2,2]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => 4
[[5,4,2,2],[3,2,1]] => [5,4,2,2] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[[5,3,2,2],[3,1,1]] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[[2,2,1,1,1],[]] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 2
[[3,3,2,2,1],[1,1,1,1]] => [3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 3
[[3,3,2,1,1],[1,1,1]] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 3
[[4,4,3,2,1],[2,2,2,1]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 4
[[3,3,1,1,1],[1,1]] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 2
[[4,4,2,2,1],[2,2,1,1]] => [4,4,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 3
[[4,4,2,1,1],[2,2,1]] => [4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 3
[[3,2,1,1,1],[1]] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 3
[[4,3,2,2,1],[2,1,1,1]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[4,3,2,1,1],[2,1,1]] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 4
[[5,4,3,2,1],[3,2,2,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 5
[[4,3,1,1,1],[2,1]] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 3
[[5,4,2,2,1],[3,2,1,1]] => [5,4,2,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 4
[[5,4,2,1,1],[3,2,1]] => [5,4,2,1,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 4
[[4,2,1,1,1],[2]] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 3
[[5,3,2,2,1],[3,1,1,1]] => [5,3,2,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 4
[[5,3,2,1,1],[3,1,1]] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 4
[[5,3,1,1,1],[3,1]] => [5,3,1,1,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 3
[[4,3,3,1],[2,2]] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[[5,4,3,1],[3,3]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 4
[[5,3,3,1],[3,2]] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[[3,2,2,2],[1,1]] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => 2
[[4,3,3,2],[2,2,1]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 3
[[4,3,2,2],[2,2]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => 3
[[5,4,3,2],[3,3,1]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => 4
[[4,2,2,2],[2,1]] => [4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2
[[5,3,3,2],[3,2,1]] => [5,3,3,2] => [1,1,0,0,1,0,1,1,0,0,1,0] => 3
[[5,3,2,2],[3,2]] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[[3,2,2,1,1],[1,1]] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3
[[4,3,3,2,1],[2,2,1,1]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 4
[[4,3,3,1,1],[2,2,1]] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 3
[[4,3,2,1,1],[2,2]] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 4
[[5,4,3,2,1],[3,3,1,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 5
[[5,4,3,1,1],[3,3,1]] => [5,4,3,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 4
[[4,2,2,1,1],[2,1]] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 3
[[5,3,3,2,1],[3,2,1,1]] => [5,3,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 4
[[5,3,3,1,1],[3,2,1]] => [5,3,3,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 3
[[5,3,2,1,1],[3,2]] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 4
[[3,2,2,2,1],[1,1,1]] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 3
[[4,3,3,2,1],[2,2,2]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 4
[[4,3,2,2,1],[2,2,1]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[5,4,3,2,1],[3,3,2]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 5
[[4,2,2,2,1],[2,1,1]] => [4,2,2,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 3
[[5,3,3,2,1],[3,2,2]] => [5,3,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 4
[[5,3,2,2,1],[3,2,1]] => [5,3,2,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 4
[[4,4,2],[3]] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[5,4,2],[4]] => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => 3
[[4,4,1,1],[3]] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[[5,4,1,1],[4]] => [5,4,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 3
[[3,3,3],[2]] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[[4,4,3],[3,1]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[4,3,3],[3]] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[5,4,3],[4,1]] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[3,3,2,1],[2]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 3
[[4,4,3,1],[3,1,1]] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[[4,4,2,1],[3,1]] => [4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[[4,3,2,1],[3]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 4
[[5,4,3,1],[4,1,1]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 4
[[5,4,2,1],[4,1]] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 4
[[4,4,2,2],[3,1,1]] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[[5,4,2,2],[4,1,1]] => [5,4,2,2] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[[3,3,1,1,1],[2]] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 2
[[4,4,2,2,1],[3,1,1,1]] => [4,4,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 3
[[4,4,2,1,1],[3,1,1]] => [4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 3
[[4,4,1,1,1],[3,1]] => [4,4,1,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[[4,3,1,1,1],[3]] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 3
[[5,4,2,2,1],[4,1,1,1]] => [5,4,2,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 4
[[5,4,2,1,1],[4,1,1]] => [5,4,2,1,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 4
[[5,4,1,1,1],[4,1]] => [5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 3
[[3,3,3,1],[2,1]] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[4,4,3,1],[3,2]] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[[4,3,3,1],[3,1]] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[[5,4,3,1],[4,2]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 4
[[2,2,2,2],[1]] => [2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[[3,3,3,2],[2,1,1]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[3,3,2,2],[2,1]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[4,4,3,2],[3,2,1]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[[4,4,2,2],[3,2]] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[[3,2,2,2],[2]] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => 2
[[4,3,3,2],[3,1,1]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 3
[[4,3,2,2],[3,1]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => 3
[[5,4,3,2],[4,2,1]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => 4
[[5,4,2,2],[4,2]] => [5,4,2,2] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[[2,2,2,1,1],[1]] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 2
[[3,3,3,2,1],[2,1,1,1]] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 3
[[3,3,3,1,1],[2,1,1]] => [3,3,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => 2
[[3,3,2,1,1],[2,1]] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 3
[[4,4,3,2,1],[3,2,1,1]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 4
[[4,4,3,1,1],[3,2,1]] => [4,4,3,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 3
[[4,4,2,1,1],[3,2]] => [4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 3
[[3,2,2,1,1],[2]] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3
[[4,3,3,2,1],[3,1,1,1]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 4
[[4,3,3,1,1],[3,1,1]] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 3
[[4,3,2,1,1],[3,1]] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 4
[[5,4,3,2,1],[4,2,1,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 5
[[5,4,3,1,1],[4,2,1]] => [5,4,3,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 4
[[5,4,2,1,1],[4,2]] => [5,4,2,1,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 4
[[3,3,2,2,1],[2,1,1]] => [3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 3
[[4,4,3,2,1],[3,2,2]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 4
[[4,4,2,2,1],[3,2,1]] => [4,4,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 3
[[4,3,2,2,1],[3,1,1]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[5,4,3,2,1],[4,2,2]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 5
[[5,4,2,2,1],[4,2,1]] => [5,4,2,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 4
[[3,3,3,2],[2,2]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[4,4,3,2],[3,3]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[[4,3,3,2],[3,2]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 3
[[5,4,3,2],[4,3]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => 4
[[3,3,3,1,1],[2,2]] => [3,3,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => 2
[[4,4,3,1,1],[3,3]] => [4,4,3,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 3
[[4,3,3,1,1],[3,2]] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 3
[[5,4,3,1,1],[4,3]] => [5,4,3,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 4
[[2,2,2,2,1],[1,1]] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 2
[[3,3,3,2,1],[2,2,1]] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 3
[[3,3,2,2,1],[2,2]] => [3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 3
[[4,4,3,2,1],[3,3,1]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 4
[[3,2,2,2,1],[2,1]] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 3
[[4,3,3,2,1],[3,2,1]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 4
[[4,3,2,2,1],[3,2]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[5,4,3,2,1],[4,3,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 5
[[5,3],[]] => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[[5,2,1],[]] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[[5,1,1,1],[]] => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[[4,4],[]] => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[[4,3,1],[]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 3
[[4,2,2],[]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => 2
[[4,2,1,1],[]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 3
[[4,1,1,1,1],[]] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2
[[3,3,2],[]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => 2
[[3,3,1,1],[]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 2
[[3,2,2,1],[]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 3
[[3,2,1,1,1],[]] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 3
[[2,2,2,2],[]] => [2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[[2,2,2,1,1],[]] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 2
[[5,4],[]] => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => 2
[[5,3,1],[]] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[[5,2,2],[]] => [5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[[5,2,1,1],[]] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 3
[[5,1,1,1,1],[]] => [5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 2
[[4,4,1],[]] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[4,3,2],[]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => 3
[[4,3,1,1],[]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 3
[[4,2,2,1],[]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 3
[[4,2,1,1,1],[]] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 3
[[3,3,3],[]] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[[3,3,2,1],[]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 3
[[3,3,1,1,1],[]] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 2
[[3,2,2,2],[]] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => 2
[[3,2,2,1,1],[]] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 3
[[2,2,2,2,1],[]] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 2
[[5,4,1],[]] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 3
[[5,3,2],[]] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => 3
[[5,3,1,1],[]] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[[5,2,2,1],[]] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 3
[[5,2,1,1,1],[]] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 3
[[4,4,2],[]] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[4,4,1,1],[]] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[[4,3,3],[]] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[4,3,2,1],[]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 4
[[4,3,1,1,1],[]] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 3
[[4,2,2,2],[]] => [4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2
[[4,2,2,1,1],[]] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 3
[[3,3,3,1],[]] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[3,3,2,2],[]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[3,3,2,1,1],[]] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 3
[[3,2,2,2,1],[]] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 3
[[5,4,2],[]] => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => 3
[[5,3,3],[]] => [5,3,3] => [1,1,1,0,0,0,1,1,0,0,1,0] => 2
[[4,4,3],[]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[4,4,2,1],[]] => [4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[[4,3,3,1],[]] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[[4,3,2,2],[]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => 3
[[3,3,3,2],[]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[5,4,3],[]] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[4,4,3,1],[]] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[[4,4,2,2],[]] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[[4,3,3,2],[]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 3
[[3,3,3,2,1],[]] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 3
[[4,4,3,2],[]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[[4,3,1,1,1],[2]] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 3
[[4,3,2,1,1],[2,1]] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 4
[[4,4,2,1,1],[3,1]] => [4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 3
[[4,3,3,1,1],[2,2]] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 3
[[4,4,3,1,1],[3,2]] => [4,4,3,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 3
[[5,3,1,1],[2]] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[[4,3,2,2,1],[2,1,1]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 4
[[4,4,2,2,1],[3,1,1]] => [4,4,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 3
[[4,3,3,2,1],[2,2,1]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 4
[[4,4,3,2,1],[3,2,1]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 4
[[5,3,2,1],[2,1]] => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 4
[[5,4,2,1],[3,1]] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 4
[[5,3,3,1],[2,2]] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[[5,4,3,1],[3,2]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 4
[[5,3,2,2],[2,1,1]] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[[5,4,2,2],[3,1,1]] => [5,4,2,2] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[[5,3,3,2],[2,2,1]] => [5,3,3,2] => [1,1,0,0,1,0,1,1,0,0,1,0] => 3
[[5,4,3,2],[3,2,1]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => 4
[[3,3,3],[1]] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[[3,3,3,1],[1,1]] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[4,4,1],[1]] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[[3,3,2,1],[1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 3
[[2,2,2,2,1],[1]] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 2
[[3,3,3,1],[2]] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[3,3,3,1],[1]] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[[3,3,3,2],[1,1,1]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[4,4,2],[1,1]] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[4,4,3],[2,1]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[4,3,3],[1,1]] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[4,4,3],[1,1]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[5,4],[1]] => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => 2
[[3,3,2,2],[1,1]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[4,4,2],[2]] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[3,3,3,2],[2,1]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[4,3,2],[1]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => 3
[[3,3,3,2],[1,1]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[4,4,2],[1]] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[[3,2,2,2],[1]] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => 2
[[3,3,2,2],[2]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[3,3,2,2],[1]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[[3,3,3,2],[2]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[3,3,3,2],[1]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[[4,3,3],[2]] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[4,4,3],[3]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[4,4,3],[2]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[4,3,3],[1]] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => 2
[[4,4,3],[1]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[[4,4,3,1],[1]] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[[5,4,3],[2,1]] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[5,3,3],[1,1]] => [5,3,3] => [1,1,1,0,0,0,1,1,0,0,1,0] => 2
[[5,4,3],[1,1]] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[5,4,2],[2]] => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => 3
[[5,3,2],[1]] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => 3
[[4,4,3,2],[2,1]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[[4,3,3,2],[1,1]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 3
[[4,4,3,2],[1,1]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[[5,4,2],[1]] => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => 3
[[4,4,2,2],[2]] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[[4,3,2,2],[1]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => 3
[[4,4,2,2],[1]] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[[4,4,3,2],[2]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[[4,3,3,2],[1]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 3
[[4,4,3,2],[1]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[[5,4,3],[2]] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[[5,3,3],[1]] => [5,3,3] => [1,1,1,0,0,0,1,1,0,0,1,0] => 2
[[5,4,3],[1]] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3