Identifier
Values
[[1]] => 0
[[2]] => 0
[[3]] => 0
[[4]] => 0
[[1,0],[0]] => 0
[[1,0],[1]] => 1
[[2,0],[0]] => 0
[[2,0],[1]] => 1
[[2,0],[2]] => 1
[[1,1],[1]] => 1
[[3,0],[0]] => 0
[[3,0],[1]] => 1
[[3,0],[2]] => 1
[[3,0],[3]] => 1
[[2,1],[1]] => 0
[[2,1],[2]] => 1
[[4,0],[0]] => 0
[[4,0],[1]] => 1
[[4,0],[2]] => 1
[[4,0],[3]] => 1
[[4,0],[4]] => 1
[[3,1],[1]] => 0
[[3,1],[2]] => 1
[[3,1],[3]] => 1
[[2,2],[2]] => 1
[[4,1],[1]] => 0
[[4,1],[2]] => 1
[[4,1],[3]] => 1
[[4,1],[4]] => 1
[[3,2],[2]] => 0
[[3,2],[3]] => 1
[[4,2],[2]] => 0
[[4,2],[3]] => 1
[[4,2],[4]] => 1
[[3,3],[3]] => 1
[[4,3],[3]] => 0
[[4,3],[4]] => 1
[[4,4],[4]] => 1
[[1,0,0],[0,0],[0]] => 2
[[1,0,0],[1,0],[0]] => 2
[[1,0,0],[1,0],[1]] => 3
[[2,0,0],[0,0],[0]] => 2
[[2,0,0],[1,0],[0]] => 2
[[2,0,0],[1,0],[1]] => 3
[[2,0,0],[2,0],[0]] => 2
[[2,0,0],[2,0],[1]] => 3
[[2,0,0],[2,0],[2]] => 3
[[1,1,0],[1,0],[0]] => 1
[[1,1,0],[1,0],[1]] => 2
[[1,1,0],[1,1],[1]] => 3
[[3,0,0],[0,0],[0]] => 2
[[3,0,0],[1,0],[0]] => 2
[[3,0,0],[1,0],[1]] => 3
[[3,0,0],[2,0],[0]] => 2
[[3,0,0],[2,0],[1]] => 3
[[3,0,0],[2,0],[2]] => 3
[[3,0,0],[3,0],[0]] => 2
[[3,0,0],[3,0],[1]] => 3
[[3,0,0],[3,0],[2]] => 3
[[3,0,0],[3,0],[3]] => 3
[[2,1,0],[1,0],[0]] => 0
[[2,1,0],[1,0],[1]] => 1
[[2,1,0],[1,1],[1]] => 2
[[2,1,0],[2,0],[0]] => 1
[[2,1,0],[2,0],[1]] => 2
[[2,1,0],[2,0],[2]] => 2
[[2,1,0],[2,1],[1]] => 2
[[2,1,0],[2,1],[2]] => 3
[[1,1,1],[1,1],[1]] => 3
[[4,0,0],[0,0],[0]] => 2
[[4,0,0],[1,0],[0]] => 2
[[4,0,0],[1,0],[1]] => 3
[[4,0,0],[2,0],[0]] => 2
[[4,0,0],[2,0],[1]] => 3
[[4,0,0],[2,0],[2]] => 3
[[4,0,0],[3,0],[0]] => 2
[[4,0,0],[3,0],[1]] => 3
[[4,0,0],[3,0],[2]] => 3
[[4,0,0],[3,0],[3]] => 3
[[4,0,0],[4,0],[0]] => 2
[[4,0,0],[4,0],[1]] => 3
[[4,0,0],[4,0],[2]] => 3
[[4,0,0],[4,0],[3]] => 3
[[4,0,0],[4,0],[4]] => 3
[[3,1,0],[1,0],[0]] => 0
[[3,1,0],[1,0],[1]] => 1
[[3,1,0],[1,1],[1]] => 2
[[3,1,0],[2,0],[0]] => 1
[[3,1,0],[2,0],[1]] => 2
[[3,1,0],[2,0],[2]] => 2
[[3,1,0],[2,1],[1]] => 2
[[3,1,0],[2,1],[2]] => 3
[[3,1,0],[3,0],[0]] => 1
[[3,1,0],[3,0],[1]] => 2
[[3,1,0],[3,0],[2]] => 2
[[3,1,0],[3,0],[3]] => 2
[[3,1,0],[3,1],[1]] => 2
[[3,1,0],[3,1],[2]] => 3
[[3,1,0],[3,1],[3]] => 3
[[2,2,0],[2,0],[0]] => 1
[[2,2,0],[2,0],[1]] => 2
>>> Load all 1584 entries. <<<[[2,2,0],[2,0],[2]] => 2
[[2,2,0],[2,1],[1]] => 2
[[2,2,0],[2,1],[2]] => 3
[[2,2,0],[2,2],[2]] => 3
[[2,1,1],[1,1],[1]] => 2
[[2,1,1],[2,1],[1]] => 2
[[2,1,1],[2,1],[2]] => 3
[[4,1,0],[1,0],[0]] => 0
[[4,1,0],[1,0],[1]] => 1
[[4,1,0],[1,1],[1]] => 2
[[4,1,0],[2,0],[0]] => 1
[[4,1,0],[2,0],[1]] => 2
[[4,1,0],[2,0],[2]] => 2
[[4,1,0],[2,1],[1]] => 2
[[4,1,0],[2,1],[2]] => 3
[[4,1,0],[3,0],[0]] => 1
[[4,1,0],[3,0],[1]] => 2
[[4,1,0],[3,0],[2]] => 2
[[4,1,0],[3,0],[3]] => 2
[[4,1,0],[3,1],[1]] => 2
[[4,1,0],[3,1],[2]] => 3
[[4,1,0],[3,1],[3]] => 3
[[4,1,0],[4,0],[0]] => 1
[[4,1,0],[4,0],[1]] => 2
[[4,1,0],[4,0],[2]] => 2
[[4,1,0],[4,0],[3]] => 2
[[4,1,0],[4,0],[4]] => 2
[[4,1,0],[4,1],[1]] => 2
[[4,1,0],[4,1],[2]] => 3
[[4,1,0],[4,1],[3]] => 3
[[4,1,0],[4,1],[4]] => 3
[[3,2,0],[2,0],[0]] => 0
[[3,2,0],[2,0],[1]] => 1
[[3,2,0],[2,0],[2]] => 1
[[3,2,0],[2,1],[1]] => 1
[[3,2,0],[2,1],[2]] => 2
[[3,2,0],[2,2],[2]] => 2
[[3,2,0],[3,0],[0]] => 1
[[3,2,0],[3,0],[1]] => 2
[[3,2,0],[3,0],[2]] => 2
[[3,2,0],[3,0],[3]] => 2
[[3,2,0],[3,1],[1]] => 2
[[3,2,0],[3,1],[2]] => 3
[[3,2,0],[3,1],[3]] => 3
[[3,2,0],[3,2],[2]] => 2
[[3,2,0],[3,2],[3]] => 3
[[3,1,1],[1,1],[1]] => 2
[[3,1,1],[2,1],[1]] => 2
[[3,1,1],[2,1],[2]] => 3
[[3,1,1],[3,1],[1]] => 2
[[3,1,1],[3,1],[2]] => 3
[[3,1,1],[3,1],[3]] => 3
[[2,2,1],[2,1],[1]] => 1
[[2,2,1],[2,1],[2]] => 2
[[2,2,1],[2,2],[2]] => 3
[[4,2,0],[2,0],[0]] => 0
[[4,2,0],[2,0],[1]] => 1
[[4,2,0],[2,0],[2]] => 1
[[4,2,0],[2,1],[1]] => 1
[[4,2,0],[2,1],[2]] => 2
[[4,2,0],[2,2],[2]] => 2
[[4,2,0],[3,0],[0]] => 1
[[4,2,0],[3,0],[1]] => 2
[[4,2,0],[3,0],[2]] => 2
[[4,2,0],[3,0],[3]] => 2
[[4,2,0],[3,1],[1]] => 2
[[4,2,0],[3,1],[2]] => 3
[[4,2,0],[3,1],[3]] => 3
[[4,2,0],[3,2],[2]] => 2
[[4,2,0],[3,2],[3]] => 3
[[4,2,0],[4,0],[0]] => 1
[[4,2,0],[4,0],[1]] => 2
[[4,2,0],[4,0],[2]] => 2
[[4,2,0],[4,0],[3]] => 2
[[4,2,0],[4,0],[4]] => 2
[[4,2,0],[4,1],[1]] => 2
[[4,2,0],[4,1],[2]] => 3
[[4,2,0],[4,1],[3]] => 3
[[4,2,0],[4,1],[4]] => 3
[[4,2,0],[4,2],[2]] => 2
[[4,2,0],[4,2],[3]] => 3
[[4,2,0],[4,2],[4]] => 3
[[4,1,1],[1,1],[1]] => 2
[[4,1,1],[2,1],[1]] => 2
[[4,1,1],[2,1],[2]] => 3
[[4,1,1],[3,1],[1]] => 2
[[4,1,1],[3,1],[2]] => 3
[[4,1,1],[3,1],[3]] => 3
[[4,1,1],[4,1],[1]] => 2
[[4,1,1],[4,1],[2]] => 3
[[4,1,1],[4,1],[3]] => 3
[[4,1,1],[4,1],[4]] => 3
[[3,3,0],[3,0],[0]] => 1
[[3,3,0],[3,0],[1]] => 2
[[3,3,0],[3,0],[2]] => 2
[[3,3,0],[3,0],[3]] => 2
[[3,3,0],[3,1],[1]] => 2
[[3,3,0],[3,1],[2]] => 3
[[3,3,0],[3,1],[3]] => 3
[[3,3,0],[3,2],[2]] => 2
[[3,3,0],[3,2],[3]] => 3
[[3,3,0],[3,3],[3]] => 3
[[3,2,1],[2,1],[1]] => 0
[[3,2,1],[2,1],[2]] => 1
[[3,2,1],[2,2],[2]] => 2
[[3,2,1],[3,1],[1]] => 1
[[3,2,1],[3,1],[2]] => 2
[[3,2,1],[3,1],[3]] => 2
[[3,2,1],[3,2],[2]] => 2
[[3,2,1],[3,2],[3]] => 3
[[2,2,2],[2,2],[2]] => 3
[[4,3,0],[4,2],[4]] => 3
[[4,3,0],[4,1],[4]] => 3
[[4,3,0],[4,0],[4]] => 2
[[4,3,0],[4,2],[3]] => 3
[[4,3,0],[3,3],[3]] => 2
[[4,3,0],[4,1],[3]] => 3
[[4,3,0],[3,2],[3]] => 2
[[4,3,0],[4,0],[3]] => 2
[[4,3,0],[3,1],[3]] => 2
[[4,3,0],[3,0],[3]] => 1
[[4,3,0],[4,2],[2]] => 2
[[4,3,0],[4,1],[2]] => 3
[[4,3,0],[3,2],[2]] => 1
[[4,3,0],[4,0],[2]] => 2
[[4,3,0],[3,1],[2]] => 2
[[4,3,0],[3,0],[2]] => 1
[[4,3,0],[4,1],[1]] => 2
[[4,3,0],[4,0],[1]] => 2
[[4,3,0],[3,1],[1]] => 1
[[4,3,0],[3,0],[1]] => 1
[[4,3,0],[4,0],[0]] => 1
[[4,3,0],[3,0],[0]] => 0
[[4,2,1],[4,2],[4]] => 3
[[4,2,1],[4,1],[4]] => 2
[[4,2,1],[4,2],[3]] => 3
[[4,2,1],[4,1],[3]] => 2
[[4,2,1],[3,2],[3]] => 3
[[4,2,1],[3,1],[3]] => 2
[[4,2,1],[4,2],[2]] => 2
[[4,2,1],[4,1],[2]] => 2
[[4,2,1],[3,2],[2]] => 2
[[4,2,1],[3,1],[2]] => 2
[[4,2,1],[2,2],[2]] => 2
[[4,2,1],[2,1],[2]] => 1
[[4,2,1],[4,1],[1]] => 1
[[4,2,1],[3,1],[1]] => 1
[[4,2,1],[2,1],[1]] => 0
[[3,3,1],[3,3],[3]] => 3
[[3,3,1],[3,2],[3]] => 3
[[3,3,1],[3,1],[3]] => 2
[[3,3,1],[3,2],[2]] => 2
[[3,3,1],[3,1],[2]] => 2
[[3,3,1],[3,1],[1]] => 1
[[3,2,2],[3,2],[3]] => 3
[[3,2,2],[3,2],[2]] => 2
[[3,2,2],[2,2],[2]] => 2
[[1,0,0,0],[0,0,0],[0,0],[0]] => 5
[[1,0,0,0],[1,0,0],[0,0],[0]] => 5
[[1,0,0,0],[1,0,0],[1,0],[0]] => 5
[[1,0,0,0],[1,0,0],[1,0],[1]] => 6
[[2,0,0,0],[0,0,0],[0,0],[0]] => 5
[[2,0,0,0],[1,0,0],[0,0],[0]] => 5
[[2,0,0,0],[1,0,0],[1,0],[0]] => 5
[[2,0,0,0],[1,0,0],[1,0],[1]] => 6
[[2,0,0,0],[2,0,0],[0,0],[0]] => 5
[[2,0,0,0],[2,0,0],[1,0],[0]] => 5
[[2,0,0,0],[2,0,0],[1,0],[1]] => 6
[[2,0,0,0],[2,0,0],[2,0],[0]] => 5
[[2,0,0,0],[2,0,0],[2,0],[1]] => 6
[[2,0,0,0],[2,0,0],[2,0],[2]] => 6
[[1,1,0,0],[1,0,0],[0,0],[0]] => 4
[[1,1,0,0],[1,0,0],[1,0],[0]] => 4
[[1,1,0,0],[1,0,0],[1,0],[1]] => 5
[[1,1,0,0],[1,1,0],[1,0],[0]] => 4
[[1,1,0,0],[1,1,0],[1,0],[1]] => 5
[[1,1,0,0],[1,1,0],[1,1],[1]] => 6
[[3,0,0,0],[0,0,0],[0,0],[0]] => 5
[[3,0,0,0],[1,0,0],[0,0],[0]] => 5
[[3,0,0,0],[1,0,0],[1,0],[0]] => 5
[[3,0,0,0],[1,0,0],[1,0],[1]] => 6
[[3,0,0,0],[2,0,0],[0,0],[0]] => 5
[[3,0,0,0],[2,0,0],[1,0],[0]] => 5
[[3,0,0,0],[2,0,0],[1,0],[1]] => 6
[[3,0,0,0],[2,0,0],[2,0],[0]] => 5
[[3,0,0,0],[2,0,0],[2,0],[1]] => 6
[[3,0,0,0],[2,0,0],[2,0],[2]] => 6
[[3,0,0,0],[3,0,0],[0,0],[0]] => 5
[[3,0,0,0],[3,0,0],[1,0],[0]] => 5
[[3,0,0,0],[3,0,0],[1,0],[1]] => 6
[[3,0,0,0],[3,0,0],[2,0],[0]] => 5
[[3,0,0,0],[3,0,0],[2,0],[1]] => 6
[[3,0,0,0],[3,0,0],[2,0],[2]] => 6
[[3,0,0,0],[3,0,0],[3,0],[0]] => 5
[[3,0,0,0],[3,0,0],[3,0],[1]] => 6
[[3,0,0,0],[3,0,0],[3,0],[2]] => 6
[[3,0,0,0],[3,0,0],[3,0],[3]] => 6
[[2,1,0,0],[1,0,0],[0,0],[0]] => 3
[[2,1,0,0],[1,0,0],[1,0],[0]] => 3
[[2,1,0,0],[1,0,0],[1,0],[1]] => 4
[[2,1,0,0],[1,1,0],[1,0],[0]] => 3
[[2,1,0,0],[1,1,0],[1,0],[1]] => 4
[[2,1,0,0],[1,1,0],[1,1],[1]] => 5
[[2,1,0,0],[2,0,0],[0,0],[0]] => 4
[[2,1,0,0],[2,0,0],[1,0],[0]] => 4
[[2,1,0,0],[2,0,0],[1,0],[1]] => 5
[[2,1,0,0],[2,0,0],[2,0],[0]] => 4
[[2,1,0,0],[2,0,0],[2,0],[1]] => 5
[[2,1,0,0],[2,0,0],[2,0],[2]] => 5
[[2,1,0,0],[2,1,0],[1,0],[0]] => 3
[[2,1,0,0],[2,1,0],[1,0],[1]] => 4
[[2,1,0,0],[2,1,0],[1,1],[1]] => 5
[[2,1,0,0],[2,1,0],[2,0],[0]] => 4
[[2,1,0,0],[2,1,0],[2,0],[1]] => 5
[[2,1,0,0],[2,1,0],[2,0],[2]] => 5
[[2,1,0,0],[2,1,0],[2,1],[1]] => 5
[[2,1,0,0],[2,1,0],[2,1],[2]] => 6
[[1,1,1,0],[1,1,0],[1,0],[0]] => 3
[[1,1,1,0],[1,1,0],[1,0],[1]] => 4
[[1,1,1,0],[1,1,0],[1,1],[1]] => 5
[[1,1,1,0],[1,1,1],[1,1],[1]] => 6
[[4,0,0,0],[0,0,0],[0,0],[0]] => 5
[[4,0,0,0],[1,0,0],[0,0],[0]] => 5
[[4,0,0,0],[1,0,0],[1,0],[0]] => 5
[[4,0,0,0],[1,0,0],[1,0],[1]] => 6
[[4,0,0,0],[2,0,0],[0,0],[0]] => 5
[[4,0,0,0],[2,0,0],[1,0],[0]] => 5
[[4,0,0,0],[2,0,0],[1,0],[1]] => 6
[[4,0,0,0],[2,0,0],[2,0],[0]] => 5
[[4,0,0,0],[2,0,0],[2,0],[1]] => 6
[[4,0,0,0],[2,0,0],[2,0],[2]] => 6
[[4,0,0,0],[3,0,0],[0,0],[0]] => 5
[[4,0,0,0],[3,0,0],[1,0],[0]] => 5
[[4,0,0,0],[3,0,0],[1,0],[1]] => 6
[[4,0,0,0],[3,0,0],[2,0],[0]] => 5
[[4,0,0,0],[3,0,0],[2,0],[1]] => 6
[[4,0,0,0],[3,0,0],[2,0],[2]] => 6
[[4,0,0,0],[3,0,0],[3,0],[0]] => 5
[[4,0,0,0],[3,0,0],[3,0],[1]] => 6
[[4,0,0,0],[3,0,0],[3,0],[2]] => 6
[[4,0,0,0],[3,0,0],[3,0],[3]] => 6
[[3,1,0,0],[1,0,0],[0,0],[0]] => 3
[[3,1,0,0],[1,0,0],[1,0],[0]] => 3
[[3,1,0,0],[1,0,0],[1,0],[1]] => 4
[[3,1,0,0],[1,1,0],[1,0],[0]] => 3
[[3,1,0,0],[1,1,0],[1,0],[1]] => 4
[[3,1,0,0],[1,1,0],[1,1],[1]] => 5
[[3,1,0,0],[2,0,0],[0,0],[0]] => 4
[[3,1,0,0],[2,0,0],[1,0],[0]] => 4
[[3,1,0,0],[2,0,0],[1,0],[1]] => 5
[[3,1,0,0],[2,0,0],[2,0],[0]] => 4
[[3,1,0,0],[2,0,0],[2,0],[1]] => 5
[[3,1,0,0],[2,0,0],[2,0],[2]] => 5
[[3,1,0,0],[2,1,0],[1,0],[0]] => 3
[[3,1,0,0],[2,1,0],[1,0],[1]] => 4
[[3,1,0,0],[2,1,0],[1,1],[1]] => 5
[[3,1,0,0],[2,1,0],[2,0],[0]] => 4
[[3,1,0,0],[2,1,0],[2,0],[1]] => 5
[[3,1,0,0],[2,1,0],[2,0],[2]] => 5
[[3,1,0,0],[2,1,0],[2,1],[1]] => 5
[[3,1,0,0],[2,1,0],[2,1],[2]] => 6
[[3,1,0,0],[3,0,0],[0,0],[0]] => 4
[[3,1,0,0],[3,0,0],[1,0],[0]] => 4
[[3,1,0,0],[3,0,0],[1,0],[1]] => 5
[[3,1,0,0],[3,0,0],[2,0],[0]] => 4
[[3,1,0,0],[3,0,0],[2,0],[1]] => 5
[[3,1,0,0],[3,0,0],[2,0],[2]] => 5
[[3,1,0,0],[3,0,0],[3,0],[0]] => 4
[[3,1,0,0],[3,0,0],[3,0],[1]] => 5
[[3,1,0,0],[3,0,0],[3,0],[2]] => 5
[[3,1,0,0],[3,0,0],[3,0],[3]] => 5
[[3,1,0,0],[3,1,0],[1,0],[0]] => 3
[[3,1,0,0],[3,1,0],[1,0],[1]] => 4
[[3,1,0,0],[3,1,0],[1,1],[1]] => 5
[[3,1,0,0],[3,1,0],[2,0],[0]] => 4
[[3,1,0,0],[3,1,0],[2,0],[1]] => 5
[[3,1,0,0],[3,1,0],[2,0],[2]] => 5
[[3,1,0,0],[3,1,0],[2,1],[1]] => 5
[[3,1,0,0],[3,1,0],[2,1],[2]] => 6
[[3,1,0,0],[3,1,0],[3,0],[0]] => 4
[[3,1,0,0],[3,1,0],[3,0],[1]] => 5
[[3,1,0,0],[3,1,0],[3,0],[2]] => 5
[[3,1,0,0],[3,1,0],[3,0],[3]] => 5
[[3,1,0,0],[3,1,0],[3,1],[1]] => 5
[[3,1,0,0],[3,1,0],[3,1],[2]] => 6
[[3,1,0,0],[3,1,0],[3,1],[3]] => 6
[[2,2,0,0],[2,0,0],[0,0],[0]] => 4
[[2,2,0,0],[2,0,0],[1,0],[0]] => 4
[[2,2,0,0],[2,0,0],[1,0],[1]] => 5
[[2,2,0,0],[2,0,0],[2,0],[0]] => 4
[[2,2,0,0],[2,0,0],[2,0],[1]] => 5
[[2,2,0,0],[2,0,0],[2,0],[2]] => 5
[[2,2,0,0],[2,1,0],[1,0],[0]] => 3
[[2,2,0,0],[2,1,0],[1,0],[1]] => 4
[[2,2,0,0],[2,1,0],[1,1],[1]] => 5
[[2,2,0,0],[2,1,0],[2,0],[0]] => 4
[[2,2,0,0],[2,1,0],[2,0],[1]] => 5
[[2,2,0,0],[2,1,0],[2,0],[2]] => 5
[[2,2,0,0],[2,1,0],[2,1],[1]] => 5
[[2,2,0,0],[2,1,0],[2,1],[2]] => 6
[[2,2,0,0],[2,2,0],[2,0],[0]] => 4
[[2,2,0,0],[2,2,0],[2,0],[1]] => 5
[[2,2,0,0],[2,2,0],[2,0],[2]] => 5
[[2,2,0,0],[2,2,0],[2,1],[1]] => 5
[[2,2,0,0],[2,2,0],[2,1],[2]] => 6
[[2,2,0,0],[2,2,0],[2,2],[2]] => 6
[[2,1,1,0],[1,1,0],[1,0],[0]] => 2
[[2,1,1,0],[1,1,0],[1,0],[1]] => 3
[[2,1,1,0],[1,1,0],[1,1],[1]] => 4
[[2,1,1,0],[1,1,1],[1,1],[1]] => 5
[[2,1,1,0],[2,1,0],[1,0],[0]] => 2
[[2,1,1,0],[2,1,0],[1,0],[1]] => 3
[[2,1,1,0],[2,1,0],[1,1],[1]] => 4
[[2,1,1,0],[2,1,0],[2,0],[0]] => 3
[[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[2,1,1,0],[2,1,0],[2,0],[2]] => 4
[[2,1,1,0],[2,1,0],[2,1],[1]] => 4
[[2,1,1,0],[2,1,0],[2,1],[2]] => 5
[[2,1,1,0],[2,1,1],[1,1],[1]] => 5
[[2,1,1,0],[2,1,1],[2,1],[1]] => 5
[[2,1,1,0],[2,1,1],[2,1],[2]] => 6
[[1,1,1,1],[1,1,1],[1,1],[1]] => 6
[[3,2,0,0],[2,0,0],[0,0],[0]] => 3
[[3,2,0,0],[2,0,0],[1,0],[0]] => 3
[[3,2,0,0],[2,0,0],[1,0],[1]] => 4
[[3,2,0,0],[2,0,0],[2,0],[0]] => 3
[[3,2,0,0],[2,0,0],[2,0],[1]] => 4
[[3,2,0,0],[2,0,0],[2,0],[2]] => 4
[[3,2,0,0],[2,1,0],[1,0],[0]] => 2
[[3,2,0,0],[2,1,0],[1,0],[1]] => 3
[[3,2,0,0],[2,1,0],[1,1],[1]] => 4
[[3,2,0,0],[2,1,0],[2,0],[0]] => 3
[[3,2,0,0],[2,1,0],[2,0],[1]] => 4
[[3,2,0,0],[2,1,0],[2,0],[2]] => 4
[[3,2,0,0],[2,1,0],[2,1],[1]] => 4
[[3,2,0,0],[2,1,0],[2,1],[2]] => 5
[[3,2,0,0],[2,2,0],[2,0],[0]] => 3
[[3,2,0,0],[2,2,0],[2,0],[1]] => 4
[[3,2,0,0],[2,2,0],[2,0],[2]] => 4
[[3,2,0,0],[2,2,0],[2,1],[1]] => 4
[[3,2,0,0],[2,2,0],[2,1],[2]] => 5
[[3,2,0,0],[2,2,0],[2,2],[2]] => 5
[[3,2,0,0],[3,0,0],[0,0],[0]] => 4
[[3,2,0,0],[3,0,0],[1,0],[0]] => 4
[[3,2,0,0],[3,0,0],[1,0],[1]] => 5
[[3,2,0,0],[3,0,0],[2,0],[0]] => 4
[[3,2,0,0],[3,0,0],[2,0],[1]] => 5
[[3,2,0,0],[3,0,0],[2,0],[2]] => 5
[[3,2,0,0],[3,0,0],[3,0],[0]] => 4
[[3,2,0,0],[3,0,0],[3,0],[1]] => 5
[[3,2,0,0],[3,0,0],[3,0],[2]] => 5
[[3,2,0,0],[3,0,0],[3,0],[3]] => 5
[[3,2,0,0],[3,1,0],[1,0],[0]] => 3
[[3,2,0,0],[3,1,0],[1,0],[1]] => 4
[[3,2,0,0],[3,1,0],[1,1],[1]] => 5
[[3,2,0,0],[3,1,0],[2,0],[0]] => 4
[[3,2,0,0],[3,1,0],[2,0],[1]] => 5
[[3,2,0,0],[3,1,0],[2,0],[2]] => 5
[[3,2,0,0],[3,1,0],[2,1],[1]] => 5
[[3,2,0,0],[3,1,0],[2,1],[2]] => 6
[[3,2,0,0],[3,1,0],[3,0],[0]] => 4
[[3,2,0,0],[3,1,0],[3,0],[1]] => 5
[[3,2,0,0],[3,1,0],[3,0],[2]] => 5
[[3,2,0,0],[3,1,0],[3,0],[3]] => 5
[[3,2,0,0],[3,1,0],[3,1],[1]] => 5
[[3,2,0,0],[3,1,0],[3,1],[2]] => 6
[[3,2,0,0],[3,1,0],[3,1],[3]] => 6
[[3,2,0,0],[3,2,0],[2,0],[0]] => 3
[[3,2,0,0],[3,2,0],[2,0],[1]] => 4
[[3,2,0,0],[3,2,0],[2,0],[2]] => 4
[[3,2,0,0],[3,2,0],[2,1],[1]] => 4
[[3,2,0,0],[3,2,0],[2,1],[2]] => 5
[[3,2,0,0],[3,2,0],[2,2],[2]] => 5
[[3,2,0,0],[3,2,0],[3,0],[0]] => 4
[[3,2,0,0],[3,2,0],[3,0],[1]] => 5
[[3,2,0,0],[3,2,0],[3,0],[2]] => 5
[[3,2,0,0],[3,2,0],[3,0],[3]] => 5
[[3,2,0,0],[3,2,0],[3,1],[1]] => 5
[[3,2,0,0],[3,2,0],[3,1],[2]] => 6
[[3,2,0,0],[3,2,0],[3,1],[3]] => 6
[[3,2,0,0],[3,2,0],[3,2],[2]] => 5
[[3,2,0,0],[3,2,0],[3,2],[3]] => 6
[[3,1,1,0],[1,1,0],[1,0],[0]] => 2
[[3,1,1,0],[1,1,0],[1,0],[1]] => 3
[[3,1,1,0],[1,1,0],[1,1],[1]] => 4
[[3,1,1,0],[1,1,1],[1,1],[1]] => 5
[[3,1,1,0],[2,1,0],[1,0],[0]] => 2
[[3,1,1,0],[2,1,0],[1,0],[1]] => 3
[[3,1,1,0],[2,1,0],[1,1],[1]] => 4
[[3,1,1,0],[2,1,0],[2,0],[0]] => 3
[[3,1,1,0],[2,1,0],[2,0],[1]] => 4
[[3,1,1,0],[2,1,0],[2,0],[2]] => 4
[[3,1,1,0],[2,1,0],[2,1],[1]] => 4
[[3,1,1,0],[2,1,0],[2,1],[2]] => 5
[[3,1,1,0],[2,1,1],[1,1],[1]] => 5
[[3,1,1,0],[2,1,1],[2,1],[1]] => 5
[[3,1,1,0],[2,1,1],[2,1],[2]] => 6
[[3,1,1,0],[3,1,0],[1,0],[0]] => 2
[[3,1,1,0],[3,1,0],[1,0],[1]] => 3
[[3,1,1,0],[3,1,0],[1,1],[1]] => 4
[[3,1,1,0],[3,1,0],[2,0],[0]] => 3
[[3,1,1,0],[3,1,0],[2,0],[1]] => 4
[[3,1,1,0],[3,1,0],[2,0],[2]] => 4
[[3,1,1,0],[3,1,0],[2,1],[1]] => 4
[[3,1,1,0],[3,1,0],[2,1],[2]] => 5
[[3,1,1,0],[3,1,0],[3,0],[0]] => 3
[[3,1,1,0],[3,1,0],[3,0],[1]] => 4
[[3,1,1,0],[3,1,0],[3,0],[2]] => 4
[[3,1,1,0],[3,1,0],[3,0],[3]] => 4
[[3,1,1,0],[3,1,0],[3,1],[1]] => 4
[[3,1,1,0],[3,1,0],[3,1],[2]] => 5
[[3,1,1,0],[3,1,0],[3,1],[3]] => 5
[[3,1,1,0],[3,1,1],[1,1],[1]] => 5
[[3,1,1,0],[3,1,1],[2,1],[1]] => 5
[[3,1,1,0],[3,1,1],[2,1],[2]] => 6
[[3,1,1,0],[3,1,1],[3,1],[1]] => 5
[[3,1,1,0],[3,1,1],[3,1],[2]] => 6
[[3,1,1,0],[3,1,1],[3,1],[3]] => 6
[[2,2,1,0],[2,1,0],[1,0],[0]] => 1
[[2,2,1,0],[2,1,0],[1,0],[1]] => 2
[[2,2,1,0],[2,1,0],[1,1],[1]] => 3
[[2,2,1,0],[2,1,0],[2,0],[0]] => 2
[[2,2,1,0],[2,1,0],[2,0],[1]] => 3
[[2,2,1,0],[2,1,0],[2,0],[2]] => 3
[[2,2,1,0],[2,1,0],[2,1],[1]] => 3
[[2,2,1,0],[2,1,0],[2,1],[2]] => 4
[[2,2,1,0],[2,1,1],[1,1],[1]] => 4
[[2,2,1,0],[2,1,1],[2,1],[1]] => 4
[[2,2,1,0],[2,1,1],[2,1],[2]] => 5
[[2,2,1,0],[2,2,0],[2,0],[0]] => 3
[[2,2,1,0],[2,2,0],[2,0],[1]] => 4
[[2,2,1,0],[2,2,0],[2,0],[2]] => 4
[[2,2,1,0],[2,2,0],[2,1],[1]] => 4
[[2,2,1,0],[2,2,0],[2,1],[2]] => 5
[[2,2,1,0],[2,2,0],[2,2],[2]] => 5
[[2,2,1,0],[2,2,1],[2,1],[1]] => 4
[[2,2,1,0],[2,2,1],[2,1],[2]] => 5
[[2,2,1,0],[2,2,1],[2,2],[2]] => 6
[[2,1,1,1],[1,1,1],[1,1],[1]] => 5
[[2,1,1,1],[2,1,1],[1,1],[1]] => 5
[[2,1,1,1],[2,1,1],[2,1],[1]] => 5
[[2,1,1,1],[2,1,1],[2,1],[2]] => 6
[[3,3,0,0],[3,2,0],[3,2],[3]] => 6
[[3,3,0,0],[3,2,0],[3,1],[3]] => 6
[[3,3,0,0],[3,1,0],[3,1],[3]] => 6
[[3,3,0,0],[3,2,0],[3,0],[3]] => 5
[[3,3,0,0],[3,1,0],[3,0],[3]] => 5
[[3,3,0,0],[3,0,0],[3,0],[3]] => 5
[[3,3,0,0],[3,2,0],[3,2],[2]] => 5
[[3,3,0,0],[3,2,0],[3,1],[2]] => 6
[[3,3,0,0],[3,2,0],[2,2],[2]] => 5
[[3,3,0,0],[3,1,0],[3,1],[2]] => 6
[[3,3,0,0],[3,2,0],[3,0],[2]] => 5
[[3,3,0,0],[3,2,0],[2,1],[2]] => 5
[[3,3,0,0],[3,1,0],[3,0],[2]] => 5
[[3,3,0,0],[3,1,0],[2,1],[2]] => 6
[[3,3,0,0],[3,0,0],[3,0],[2]] => 5
[[3,3,0,0],[3,2,0],[2,0],[2]] => 4
[[3,3,0,0],[3,1,0],[2,0],[2]] => 5
[[3,3,0,0],[3,0,0],[2,0],[2]] => 5
[[3,3,0,0],[3,2,0],[3,1],[1]] => 5
[[3,3,0,0],[3,1,0],[3,1],[1]] => 5
[[3,3,0,0],[3,2,0],[3,0],[1]] => 5
[[3,3,0,0],[3,2,0],[2,1],[1]] => 4
[[3,3,0,0],[3,1,0],[3,0],[1]] => 5
[[3,3,0,0],[3,1,0],[2,1],[1]] => 5
[[3,3,0,0],[3,0,0],[3,0],[1]] => 5
[[3,3,0,0],[3,2,0],[2,0],[1]] => 4
[[3,3,0,0],[3,1,0],[2,0],[1]] => 5
[[3,3,0,0],[3,1,0],[1,1],[1]] => 5
[[3,3,0,0],[3,0,0],[2,0],[1]] => 5
[[3,3,0,0],[3,1,0],[1,0],[1]] => 4
[[3,3,0,0],[3,0,0],[1,0],[1]] => 5
[[3,3,0,0],[3,2,0],[3,0],[0]] => 4
[[3,3,0,0],[3,1,0],[3,0],[0]] => 4
[[3,3,0,0],[3,0,0],[3,0],[0]] => 4
[[3,3,0,0],[3,2,0],[2,0],[0]] => 3
[[3,3,0,0],[3,1,0],[2,0],[0]] => 4
[[3,3,0,0],[3,0,0],[2,0],[0]] => 4
[[3,3,0,0],[3,1,0],[1,0],[0]] => 3
[[3,3,0,0],[3,0,0],[1,0],[0]] => 4
[[3,3,0,0],[3,0,0],[0,0],[0]] => 4
[[3,2,1,0],[3,2,0],[3,2],[3]] => 5
[[3,2,1,0],[3,2,0],[3,1],[3]] => 5
[[3,2,1,0],[3,1,1],[3,1],[3]] => 5
[[3,2,1,0],[3,1,0],[3,1],[3]] => 4
[[3,2,1,0],[3,2,0],[3,0],[3]] => 4
[[3,2,1,0],[3,1,0],[3,0],[3]] => 3
[[3,2,1,0],[3,2,0],[3,2],[2]] => 4
[[3,2,1,0],[3,2,0],[3,1],[2]] => 5
[[3,2,1,0],[3,1,1],[3,1],[2]] => 5
[[3,2,1,0],[3,2,0],[2,2],[2]] => 4
[[3,2,1,0],[2,2,1],[2,2],[2]] => 5
[[3,2,1,0],[3,1,0],[3,1],[2]] => 4
[[3,2,1,0],[2,2,0],[2,2],[2]] => 4
[[3,2,1,0],[3,2,0],[3,0],[2]] => 4
[[3,2,1,0],[3,2,0],[2,1],[2]] => 4
[[3,2,1,0],[3,1,1],[2,1],[2]] => 5
[[3,2,1,0],[2,2,1],[2,1],[2]] => 4
[[3,2,1,0],[3,1,0],[3,0],[2]] => 3
[[3,2,1,0],[3,1,0],[2,1],[2]] => 4
[[3,2,1,0],[2,2,0],[2,1],[2]] => 4
[[3,2,1,0],[2,1,1],[2,1],[2]] => 4
[[3,2,1,0],[2,1,0],[2,1],[2]] => 3
[[3,2,1,0],[3,2,0],[2,0],[2]] => 3
[[3,2,1,0],[3,1,0],[2,0],[2]] => 3
[[3,2,1,0],[2,2,0],[2,0],[2]] => 3
[[3,2,1,0],[2,1,0],[2,0],[2]] => 2
[[3,2,1,0],[3,2,0],[3,1],[1]] => 4
[[3,2,1,0],[3,1,1],[3,1],[1]] => 4
[[3,2,1,0],[3,1,0],[3,1],[1]] => 3
[[3,2,1,0],[3,2,0],[3,0],[1]] => 4
[[3,2,1,0],[3,2,0],[2,1],[1]] => 3
[[3,2,1,0],[3,1,1],[2,1],[1]] => 4
[[3,2,1,0],[2,2,1],[2,1],[1]] => 3
[[3,2,1,0],[3,1,0],[3,0],[1]] => 3
[[3,2,1,0],[3,1,0],[2,1],[1]] => 3
[[3,2,1,0],[2,2,0],[2,1],[1]] => 3
[[3,2,1,0],[2,1,1],[2,1],[1]] => 3
[[3,2,1,0],[2,1,0],[2,1],[1]] => 2
[[3,2,1,0],[3,2,0],[2,0],[1]] => 3
[[3,2,1,0],[3,1,1],[1,1],[1]] => 4
[[3,2,1,0],[3,1,0],[2,0],[1]] => 3
[[3,2,1,0],[2,2,0],[2,0],[1]] => 3
[[3,2,1,0],[3,1,0],[1,1],[1]] => 3
[[3,2,1,0],[2,1,1],[1,1],[1]] => 3
[[3,2,1,0],[2,1,0],[2,0],[1]] => 2
[[3,2,1,0],[2,1,0],[1,1],[1]] => 2
[[3,2,1,0],[3,1,0],[1,0],[1]] => 2
[[3,2,1,0],[2,1,0],[1,0],[1]] => 1
[[3,2,1,0],[3,2,0],[3,0],[0]] => 3
[[3,2,1,0],[3,1,0],[3,0],[0]] => 2
[[3,2,1,0],[3,2,0],[2,0],[0]] => 2
[[3,2,1,0],[3,1,0],[2,0],[0]] => 2
[[3,2,1,0],[2,2,0],[2,0],[0]] => 2
[[3,2,1,0],[2,1,0],[2,0],[0]] => 1
[[3,2,1,0],[3,1,0],[1,0],[0]] => 1
[[3,2,1,0],[2,1,0],[1,0],[0]] => 0
[[3,1,1,1],[3,1,1],[3,1],[3]] => 6
[[3,1,1,1],[3,1,1],[3,1],[2]] => 6
[[3,1,1,1],[3,1,1],[2,1],[2]] => 6
[[3,1,1,1],[2,1,1],[2,1],[2]] => 6
[[3,1,1,1],[3,1,1],[3,1],[1]] => 5
[[3,1,1,1],[3,1,1],[2,1],[1]] => 5
[[3,1,1,1],[2,1,1],[2,1],[1]] => 5
[[3,1,1,1],[3,1,1],[1,1],[1]] => 5
[[3,1,1,1],[2,1,1],[1,1],[1]] => 5
[[3,1,1,1],[1,1,1],[1,1],[1]] => 5
[[2,2,2,0],[2,2,1],[2,2],[2]] => 6
[[2,2,2,0],[2,2,0],[2,2],[2]] => 5
[[2,2,2,0],[2,2,1],[2,1],[2]] => 5
[[2,2,2,0],[2,2,0],[2,1],[2]] => 5
[[2,2,2,0],[2,2,0],[2,0],[2]] => 4
[[2,2,2,0],[2,2,1],[2,1],[1]] => 4
[[2,2,2,0],[2,2,0],[2,1],[1]] => 4
[[2,2,2,0],[2,2,0],[2,0],[1]] => 4
[[2,2,2,0],[2,2,0],[2,0],[0]] => 3
[[2,2,1,1],[2,2,1],[2,2],[2]] => 6
[[2,2,1,1],[2,2,1],[2,1],[2]] => 5
[[2,2,1,1],[2,1,1],[2,1],[2]] => 5
[[2,2,1,1],[2,2,1],[2,1],[1]] => 4
[[2,2,1,1],[2,1,1],[2,1],[1]] => 4
[[2,2,1,1],[2,1,1],[1,1],[1]] => 4
[[4,3,2,1],[4,3,2],[4,3],[4]] => 0
[[4,3,2,1],[4,3,2],[4,3],[3]] => 1
[[4,3,2,1],[4,3,2],[4,2],[4]] => 1
[[4,3,2,1],[4,3,2],[4,2],[3]] => 2
[[4,3,2,1],[4,3,2],[3,2],[3]] => 2
[[4,3,2,1],[4,3,2],[4,2],[2]] => 2
[[4,3,2,1],[4,3,2],[3,2],[2]] => 3
[[4,3,2,1],[4,3,1],[4,3],[4]] => 1
[[4,3,2,1],[4,3,1],[4,3],[3]] => 2
[[4,3,2,1],[4,3,1],[4,2],[4]] => 2
[[4,3,2,1],[4,3,1],[4,2],[3]] => 3
[[4,3,2,1],[4,3,1],[3,2],[3]] => 3
[[4,3,2,1],[4,3,1],[4,2],[2]] => 3
[[4,3,2,1],[4,3,1],[3,2],[2]] => 4
[[4,3,2,1],[4,2,1],[4,2],[4]] => 2
[[4,3,2,1],[4,2,1],[4,2],[3]] => 3
[[4,3,2,1],[4,2,1],[3,2],[3]] => 3
[[4,3,2,1],[3,2,1],[3,2],[3]] => 3
[[4,3,2,1],[4,2,1],[4,2],[2]] => 3
[[4,3,2,1],[4,2,1],[3,2],[2]] => 4
[[4,3,2,1],[3,2,1],[3,2],[2]] => 4
[[4,3,2,1],[4,3,1],[4,1],[4]] => 2
[[4,3,2,1],[4,3,1],[4,1],[3]] => 3
[[4,3,2,1],[4,3,1],[3,1],[3]] => 3
[[4,3,2,1],[4,3,1],[4,1],[2]] => 3
[[4,3,2,1],[4,3,1],[3,1],[2]] => 4
[[4,3,2,1],[4,2,1],[4,1],[4]] => 3
[[4,3,2,1],[4,2,1],[4,1],[3]] => 4
[[4,3,2,1],[4,2,1],[3,1],[3]] => 4
[[4,3,2,1],[3,2,1],[3,1],[3]] => 4
[[4,3,2,1],[4,2,1],[4,1],[2]] => 4
[[4,3,2,1],[4,2,1],[3,1],[2]] => 5
[[4,3,2,1],[3,2,1],[3,1],[2]] => 5
[[4,3,2,1],[4,2,1],[2,1],[2]] => 4
[[4,3,2,1],[3,2,1],[2,1],[2]] => 5
[[4,3,2,1],[4,3,1],[4,1],[1]] => 3
[[4,3,2,1],[4,3,1],[3,1],[1]] => 4
[[4,3,2,1],[4,2,1],[4,1],[1]] => 4
[[4,3,2,1],[4,2,1],[3,1],[1]] => 5
[[4,3,2,1],[3,2,1],[3,1],[1]] => 5
[[4,3,2,1],[4,2,1],[2,1],[1]] => 5
[[4,3,2,1],[3,2,1],[2,1],[1]] => 6
[[4,3,2,1],[3,3,1],[3,1],[1]] => 5
[[4,3,2,1],[3,2,1],[2,2],[2]] => 5
[[4,3,2,1],[3,2,2],[2,2],[2]] => 5
[[4,3,2,1],[4,2,2],[2,2],[2]] => 4
[[4,3,2,1],[4,2,2],[3,2],[2]] => 4
[[4,3,2,1],[3,3,1],[3,1],[3]] => 4
[[4,3,2,1],[3,3,1],[3,2],[3]] => 4
[[4,3,2,1],[3,2,2],[3,2],[2]] => 4
[[4,3,2,1],[3,3,2],[3,2],[2]] => 4
[[4,3,2,1],[4,2,2],[4,2],[2]] => 3
[[4,3,2,1],[3,2,2],[3,2],[3]] => 3
[[4,3,2,1],[3,3,1],[3,3],[3]] => 4
[[4,3,2,1],[3,3,2],[3,2],[3]] => 3
[[4,3,2,1],[3,3,2],[3,3],[3]] => 3
[[4,3,2,1],[4,2,2],[4,2],[4]] => 2
[[4,3,2,1],[4,3,2],[3,3],[3]] => 2
[[4,3,2,1],[4,2,1],[2,2],[2]] => 4
[[4,3,2,1],[4,3,1],[3,3],[3]] => 3
[[4,3,2,1],[4,2,2],[4,2],[3]] => 3
[[4,3,2,1],[3,3,1],[3,1],[2]] => 5
[[4,3,2,1],[3,3,1],[3,2],[2]] => 5
[[4,3,2,1],[4,2,2],[3,2],[3]] => 3
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 9
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 9
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 9
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 9
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 9
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 8
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 9
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 8
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 8
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 8
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 8
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 8
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 8
[[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 9
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 8
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 7
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 8
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 7
[[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 8
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 7
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 7
[[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 8
[[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 9
[[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 10
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 15
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 14
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 14
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 14
[[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 14
[[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 14
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 13
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 13
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 14
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 14
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 14
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 14
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 14
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 14
[[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 14
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 14
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 13
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 13
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 13
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 13
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 13
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 13
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 13
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 13
[[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 13
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 13
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 13
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 14
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 14
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 14
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 12
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 11
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 11
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 12
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 12
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 13
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 12
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 12
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 12
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 12
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 12
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 13
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 13
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 13
[[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 14
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 13
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 12
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 12
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 13
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 12
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 12
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 12
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 13
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 12
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 12
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 13
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 13
[[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 13
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 12
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 11
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 11
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 12
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 11
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 11
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 12
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 12
[[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 14
[[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 13
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 12
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 11
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 11
[[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 15
[[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 20
[[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 20
[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 19
[[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 20
[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 20
[[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 19
[[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 19
[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 20
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 17
[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 19
[[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 20
[[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 18
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 18
[[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 19
[[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 18
[[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 19
[[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 17
[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 18
[[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 20
[[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 17
[[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 16
[[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 18
[[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 18
[[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 17
[[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 20
[[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 16
[[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 28
[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 27
[[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 27
[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 26
[[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 27
[[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 27
[[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 26
[[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 26
[[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 27
[[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 24
[[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 26
[[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 27
[[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 25
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 25
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 25
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 26
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 26
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 26
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 26
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 26
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 27
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 27
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 27
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 27
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 27
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 27
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 27
[[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 24
[[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 26
[[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 25
[[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 26
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 24
[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 25
[[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 27
[[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 24
[[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 24
[[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 26
[[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 25
[[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 25
[[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 22
[[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 25
[[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 24
[[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 24
[[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 27
[[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 23
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 25
[[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 23
[[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 24
[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 25
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 23
[[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 27
[[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 22
[[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 28
[[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 36
[[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 35
[[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 35
[[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 34
[[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 35
[[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 34
[[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 33
[[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 35
[[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 34
[[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 34
[[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 33
[[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 32
[[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 34
[[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 34
[[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 33
[[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 33
[[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 32
[[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 31
[[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 34
[[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 33
[[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 32
[[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 33
[[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 32
[[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 31
[[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 30
[[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 32
[[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 31
[[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 30
[[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 29
[[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 36
[[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 35
[[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 34
[[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 35
[[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 34
[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 32
[[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 35
[[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 34
[[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 32
[[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 33
[[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 32
[[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 35
[[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 33
[[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 31
[[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 32
[[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 30
[[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 32
[[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 35
[[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 29
[[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 33
[[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 32
[[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 30
[[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 32
[[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 35
[[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 29
[[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 31
[[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 33
[[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 35
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 41
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 42
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 42
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 43
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 43
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 42
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 43
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 43
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 43
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 41
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 42
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 42
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 43
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 43
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 42
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 43
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 43
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 43
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 42
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 43
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 43
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 43
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 43
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 44
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 44
[[10,0,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 44
[[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 44
[[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 43
[[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 44
[[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 43
[[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 42
[[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 44
[[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 43
[[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 43
[[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 42
[[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 41
[[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 43
[[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 43
[[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 42
[[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 42
[[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 41
[[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 40
[[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 43
[[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 42
[[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 43
[[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 42
[[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 41
[[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 42
[[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 41
[[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 40
[[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 39
[[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 42
[[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 42
[[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 41
[[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 40
[[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 41
[[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 40
[[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 39
[[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 38
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 41
[[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 40
[[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 39
[[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 38
[[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 37
[[1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 45
[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 44
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 43
[[8,1,1,0,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 44
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 43
[[7,2,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 41
[[7,1,1,1,0,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 44
[[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 43
[[6,3,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 41
[[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 42
[[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 41
[[6,1,1,1,1,0,0,0,0,0],[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 44
[[5,4,1,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 41
[[5,3,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 40
[[5,3,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 41
[[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 39
[[5,2,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 41
[[5,1,1,1,1,1,0,0,0,0],[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 44
[[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 41
[[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 42
[[4,3,3,0,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 42
[[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 37
[[4,3,1,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 41
[[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 41
[[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 39
[[4,2,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 41
[[4,1,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 44
[[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 40
[[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 40
[[3,3,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 38
[[3,3,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 42
[[3,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 37
[[3,2,2,1,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 39
[[3,2,1,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 41
[[3,1,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 44
[[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 38
[[2,2,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 40
[[2,2,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 42
[[2,1,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 44
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 61
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 62
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 62
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 62
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 62
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 61
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 62
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 62
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 62
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 62
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 62
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 63
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 64
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 65
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 65
[[4,2,2],[2,2],[2]] => 2
[[4,2,2],[3,2],[2]] => 2
[[4,2,2],[3,2],[3]] => 3
[[4,2,2],[4,2],[2]] => 2
[[4,2,2],[4,2],[3]] => 3
[[4,2,2],[4,2],[4]] => 3
[[4,3,0],[4,3],[3]] => 2
[[4,3,0],[4,3],[4]] => 3
[[4,3,1],[3,1],[1]] => 0
[[4,3,1],[3,1],[2]] => 1
[[4,3,1],[3,1],[3]] => 1
[[4,3,1],[3,2],[2]] => 1
[[4,3,1],[3,2],[3]] => 2
[[4,3,1],[3,3],[3]] => 2
[[4,3,1],[4,1],[1]] => 1
[[4,3,1],[4,1],[2]] => 2
[[4,3,1],[4,1],[3]] => 2
[[4,3,1],[4,1],[4]] => 2
[[4,3,1],[4,2],[2]] => 2
[[4,3,1],[4,2],[3]] => 3
[[4,3,1],[4,2],[4]] => 3
[[4,3,1],[4,3],[3]] => 2
[[4,3,1],[4,3],[4]] => 3
[[4,3,2],[3,2],[2]] => 0
[[4,3,2],[3,2],[3]] => 1
[[4,3,2],[3,3],[3]] => 2
[[4,3,2],[4,2],[2]] => 1
[[4,3,2],[4,2],[3]] => 2
[[4,3,2],[4,2],[4]] => 2
[[4,3,2],[4,3],[3]] => 2
[[4,3,2],[4,3],[4]] => 3
[[4,3,3],[3,3],[3]] => 2
[[4,3,3],[4,3],[3]] => 2
[[4,3,3],[4,3],[4]] => 3
[[4,4,0],[4,0],[0]] => 1
[[4,4,0],[4,0],[1]] => 2
[[4,4,0],[4,0],[2]] => 2
[[4,4,0],[4,0],[3]] => 2
[[4,4,0],[4,0],[4]] => 2
[[4,4,0],[4,1],[1]] => 2
[[4,4,0],[4,1],[2]] => 3
[[4,4,0],[4,1],[3]] => 3
[[4,4,0],[4,1],[4]] => 3
[[4,4,0],[4,2],[2]] => 2
[[4,4,0],[4,2],[3]] => 3
[[4,4,0],[4,2],[4]] => 3
[[4,4,0],[4,3],[3]] => 2
[[4,4,0],[4,3],[4]] => 3
[[4,4,0],[4,4],[4]] => 3
[[4,4,1],[4,1],[1]] => 1
[[4,4,1],[4,1],[2]] => 2
[[4,4,1],[4,1],[3]] => 2
[[4,4,1],[4,1],[4]] => 2
[[4,4,1],[4,2],[2]] => 2
[[4,4,1],[4,2],[3]] => 3
[[4,4,1],[4,2],[4]] => 3
[[4,4,1],[4,3],[3]] => 2
[[4,4,1],[4,3],[4]] => 3
[[4,4,1],[4,4],[4]] => 3
[[4,4,2],[4,2],[2]] => 1
[[4,4,2],[4,2],[3]] => 2
[[4,4,2],[4,2],[4]] => 2
[[4,4,2],[4,3],[3]] => 2
[[4,4,2],[4,3],[4]] => 3
[[4,4,2],[4,4],[4]] => 3
[[4,4,3],[4,3],[3]] => 1
[[4,4,3],[4,3],[4]] => 2
[[4,4,3],[4,4],[4]] => 3
[[4,4,4],[4,4],[4]] => 3
[[3,2,1,0],[3,2,1],[2,1],[1]] => 3
[[3,2,1,0],[3,2,1],[2,1],[2]] => 4
[[3,2,1,0],[3,2,1],[2,2],[2]] => 5
[[3,2,1,0],[3,2,1],[3,1],[1]] => 4
[[3,2,1,0],[3,2,1],[3,1],[2]] => 5
[[3,2,1,0],[3,2,1],[3,1],[3]] => 5
[[3,2,1,0],[3,2,1],[3,2],[2]] => 5
[[3,2,1,0],[3,2,1],[3,2],[3]] => 6
[[3,2,1,1],[2,1,1],[1,1],[1]] => 3
[[3,2,1,1],[2,1,1],[2,1],[1]] => 3
[[3,2,1,1],[2,1,1],[2,1],[2]] => 4
[[3,2,1,1],[2,2,1],[2,1],[1]] => 3
[[3,2,1,1],[2,2,1],[2,1],[2]] => 4
[[3,2,1,1],[2,2,1],[2,2],[2]] => 5
[[3,2,1,1],[3,1,1],[1,1],[1]] => 4
[[3,2,1,1],[3,1,1],[2,1],[1]] => 4
[[3,2,1,1],[3,1,1],[2,1],[2]] => 5
[[3,2,1,1],[3,1,1],[3,1],[1]] => 4
[[3,2,1,1],[3,1,1],[3,1],[2]] => 5
[[3,2,1,1],[3,1,1],[3,1],[3]] => 5
[[3,2,1,1],[3,2,1],[2,1],[1]] => 3
[[3,2,1,1],[3,2,1],[2,1],[2]] => 4
[[3,2,1,1],[3,2,1],[2,2],[2]] => 5
[[3,2,1,1],[3,2,1],[3,1],[1]] => 4
[[3,2,1,1],[3,2,1],[3,1],[2]] => 5
[[3,2,1,1],[3,2,1],[3,1],[3]] => 5
[[3,2,1,1],[3,2,1],[3,2],[2]] => 5
[[3,2,1,1],[3,2,1],[3,2],[3]] => 6
[[3,2,2,0],[2,2,0],[2,0],[0]] => 2
[[3,2,2,0],[2,2,0],[2,0],[1]] => 3
[[3,2,2,0],[2,2,0],[2,0],[2]] => 3
[[3,2,2,0],[2,2,0],[2,1],[1]] => 3
[[3,2,2,0],[2,2,0],[2,1],[2]] => 4
[[3,2,2,0],[2,2,0],[2,2],[2]] => 4
[[3,2,2,0],[2,2,1],[2,1],[1]] => 3
[[3,2,2,0],[2,2,1],[2,1],[2]] => 4
[[3,2,2,0],[2,2,1],[2,2],[2]] => 5
[[3,2,2,0],[2,2,2],[2,2],[2]] => 5
[[3,2,2,0],[3,2,0],[2,0],[0]] => 2
[[3,2,2,0],[3,2,0],[2,0],[1]] => 3
[[3,2,2,0],[3,2,0],[2,0],[2]] => 3
[[3,2,2,0],[3,2,0],[2,1],[1]] => 3
[[3,2,2,0],[3,2,0],[2,1],[2]] => 4
[[3,2,2,0],[3,2,0],[2,2],[2]] => 4
[[3,2,2,0],[3,2,0],[3,0],[0]] => 3
[[3,2,2,0],[3,2,0],[3,0],[1]] => 4
[[3,2,2,0],[3,2,0],[3,0],[2]] => 4
[[3,2,2,0],[3,2,0],[3,0],[3]] => 4
[[3,2,2,0],[3,2,0],[3,1],[1]] => 4
[[3,2,2,0],[3,2,0],[3,1],[2]] => 5
[[3,2,2,0],[3,2,0],[3,1],[3]] => 5
[[3,2,2,0],[3,2,0],[3,2],[2]] => 4
[[3,2,2,0],[3,2,0],[3,2],[3]] => 5
[[3,2,2,0],[3,2,1],[2,1],[1]] => 3
[[3,2,2,0],[3,2,1],[2,1],[2]] => 4
[[3,2,2,0],[3,2,1],[2,2],[2]] => 5
[[3,2,2,0],[3,2,1],[3,1],[1]] => 4
[[3,2,2,0],[3,2,1],[3,1],[2]] => 5
[[3,2,2,0],[3,2,1],[3,1],[3]] => 5
[[3,2,2,0],[3,2,1],[3,2],[2]] => 5
[[3,2,2,0],[3,2,1],[3,2],[3]] => 6
[[3,2,2,0],[3,2,2],[2,2],[2]] => 5
[[3,2,2,0],[3,2,2],[3,2],[2]] => 5
[[3,2,2,0],[3,2,2],[3,2],[3]] => 6
[[3,2,2,1],[2,2,1],[2,1],[1]] => 2
[[3,2,2,1],[2,2,1],[2,1],[2]] => 3
[[3,2,2,1],[2,2,1],[2,2],[2]] => 4
[[3,2,2,1],[2,2,2],[2,2],[2]] => 5
[[3,2,2,1],[3,2,1],[2,1],[1]] => 2
[[3,2,2,1],[3,2,1],[2,1],[2]] => 3
[[3,2,2,1],[3,2,1],[2,2],[2]] => 4
[[3,2,2,1],[3,2,1],[3,1],[1]] => 3
[[3,2,2,1],[3,2,1],[3,1],[2]] => 4
[[3,2,2,1],[3,2,1],[3,1],[3]] => 4
[[3,2,2,1],[3,2,1],[3,2],[2]] => 4
[[3,2,2,1],[3,2,1],[3,2],[3]] => 5
[[3,2,2,1],[3,2,2],[2,2],[2]] => 5
[[3,2,2,1],[3,2,2],[3,2],[2]] => 5
[[3,2,2,1],[3,2,2],[3,2],[3]] => 6
[[3,2,2,2],[2,2,2],[2,2],[2]] => 5
[[3,2,2,2],[3,2,2],[2,2],[2]] => 5
[[3,2,2,2],[3,2,2],[3,2],[2]] => 5
[[3,2,2,2],[3,2,2],[3,2],[3]] => 6
[[3,3,0,0],[3,3,0],[3,0],[0]] => 4
[[3,3,0,0],[3,3,0],[3,0],[1]] => 5
[[3,3,0,0],[3,3,0],[3,0],[2]] => 5
[[3,3,0,0],[3,3,0],[3,0],[3]] => 5
[[3,3,0,0],[3,3,0],[3,1],[1]] => 5
[[3,3,0,0],[3,3,0],[3,1],[2]] => 6
[[3,3,0,0],[3,3,0],[3,1],[3]] => 6
[[3,3,0,0],[3,3,0],[3,2],[2]] => 5
[[3,3,0,0],[3,3,0],[3,2],[3]] => 6
[[3,3,0,0],[3,3,0],[3,3],[3]] => 6
[[3,3,1,0],[3,1,0],[1,0],[0]] => 1
[[3,3,1,0],[3,1,0],[1,0],[1]] => 2
[[3,3,1,0],[3,1,0],[1,1],[1]] => 3
[[3,3,1,0],[3,1,0],[2,0],[0]] => 2
[[3,3,1,0],[3,1,0],[2,0],[1]] => 3
[[3,3,1,0],[3,1,0],[2,0],[2]] => 3
[[3,3,1,0],[3,1,0],[2,1],[1]] => 3
[[3,3,1,0],[3,1,0],[2,1],[2]] => 4
[[3,3,1,0],[3,1,0],[3,0],[0]] => 2
[[3,3,1,0],[3,1,0],[3,0],[1]] => 3
[[3,3,1,0],[3,1,0],[3,0],[2]] => 3
[[3,3,1,0],[3,1,0],[3,0],[3]] => 3
[[3,3,1,0],[3,1,0],[3,1],[1]] => 3
[[3,3,1,0],[3,1,0],[3,1],[2]] => 4
[[3,3,1,0],[3,1,0],[3,1],[3]] => 4
[[3,3,1,0],[3,1,1],[1,1],[1]] => 4
[[3,3,1,0],[3,1,1],[2,1],[1]] => 4
[[3,3,1,0],[3,1,1],[2,1],[2]] => 5
[[3,3,1,0],[3,1,1],[3,1],[1]] => 4
[[3,3,1,0],[3,1,1],[3,1],[2]] => 5
[[3,3,1,0],[3,1,1],[3,1],[3]] => 5
[[3,3,1,0],[3,2,0],[2,0],[0]] => 2
[[3,3,1,0],[3,2,0],[2,0],[1]] => 3
[[3,3,1,0],[3,2,0],[2,0],[2]] => 3
[[3,3,1,0],[3,2,0],[2,1],[1]] => 3
[[3,3,1,0],[3,2,0],[2,1],[2]] => 4
[[3,3,1,0],[3,2,0],[2,2],[2]] => 4
[[3,3,1,0],[3,2,0],[3,0],[0]] => 3
[[3,3,1,0],[3,2,0],[3,0],[1]] => 4
[[3,3,1,0],[3,2,0],[3,0],[2]] => 4
[[3,3,1,0],[3,2,0],[3,0],[3]] => 4
[[3,3,1,0],[3,2,0],[3,1],[1]] => 4
[[3,3,1,0],[3,2,0],[3,1],[2]] => 5
[[3,3,1,0],[3,2,0],[3,1],[3]] => 5
[[3,3,1,0],[3,2,0],[3,2],[2]] => 4
[[3,3,1,0],[3,2,0],[3,2],[3]] => 5
[[3,3,1,0],[3,2,1],[2,1],[1]] => 3
[[3,3,1,0],[3,2,1],[2,1],[2]] => 4
[[3,3,1,0],[3,2,1],[2,2],[2]] => 5
[[3,3,1,0],[3,2,1],[3,1],[1]] => 4
[[3,3,1,0],[3,2,1],[3,1],[2]] => 5
[[3,3,1,0],[3,2,1],[3,1],[3]] => 5
[[3,3,1,0],[3,2,1],[3,2],[2]] => 5
[[3,3,1,0],[3,2,1],[3,2],[3]] => 6
[[3,3,1,0],[3,3,0],[3,0],[0]] => 3
[[3,3,1,0],[3,3,0],[3,0],[1]] => 4
[[3,3,1,0],[3,3,0],[3,0],[2]] => 4
[[3,3,1,0],[3,3,0],[3,0],[3]] => 4
[[3,3,1,0],[3,3,0],[3,1],[1]] => 4
[[3,3,1,0],[3,3,0],[3,1],[2]] => 5
[[3,3,1,0],[3,3,0],[3,1],[3]] => 5
[[3,3,1,0],[3,3,0],[3,2],[2]] => 4
[[3,3,1,0],[3,3,0],[3,2],[3]] => 5
[[3,3,1,0],[3,3,0],[3,3],[3]] => 5
[[3,3,1,0],[3,3,1],[3,1],[1]] => 4
[[3,3,1,0],[3,3,1],[3,1],[2]] => 5
[[3,3,1,0],[3,3,1],[3,1],[3]] => 5
[[3,3,1,0],[3,3,1],[3,2],[2]] => 5
[[3,3,1,0],[3,3,1],[3,2],[3]] => 6
[[3,3,1,0],[3,3,1],[3,3],[3]] => 6
[[3,3,1,1],[3,1,1],[1,1],[1]] => 4
[[3,3,1,1],[3,1,1],[2,1],[1]] => 4
[[3,3,1,1],[3,1,1],[2,1],[2]] => 5
[[3,3,1,1],[3,1,1],[3,1],[1]] => 4
[[3,3,1,1],[3,1,1],[3,1],[2]] => 5
[[3,3,1,1],[3,1,1],[3,1],[3]] => 5
[[3,3,1,1],[3,2,1],[2,1],[1]] => 3
[[3,3,1,1],[3,2,1],[2,1],[2]] => 4
[[3,3,1,1],[3,2,1],[2,2],[2]] => 5
[[3,3,1,1],[3,2,1],[3,1],[1]] => 4
[[3,3,1,1],[3,2,1],[3,1],[2]] => 5
[[3,3,1,1],[3,2,1],[3,1],[3]] => 5
[[3,3,1,1],[3,2,1],[3,2],[2]] => 5
[[3,3,1,1],[3,2,1],[3,2],[3]] => 6
[[3,3,1,1],[3,3,1],[3,1],[1]] => 4
[[3,3,1,1],[3,3,1],[3,1],[2]] => 5
[[3,3,1,1],[3,3,1],[3,1],[3]] => 5
[[3,3,1,1],[3,3,1],[3,2],[2]] => 5
[[3,3,1,1],[3,3,1],[3,2],[3]] => 6
[[3,3,1,1],[3,3,1],[3,3],[3]] => 6
[[3,3,2,0],[3,2,0],[2,0],[0]] => 1
[[3,3,2,0],[3,2,0],[2,0],[1]] => 2
[[3,3,2,0],[3,2,0],[2,0],[2]] => 2
[[3,3,2,0],[3,2,0],[2,1],[1]] => 2
[[3,3,2,0],[3,2,0],[2,1],[2]] => 3
[[3,3,2,0],[3,2,0],[2,2],[2]] => 3
[[3,3,2,0],[3,2,0],[3,0],[0]] => 2
[[3,3,2,0],[3,2,0],[3,0],[1]] => 3
[[3,3,2,0],[3,2,0],[3,0],[2]] => 3
[[3,3,2,0],[3,2,0],[3,0],[3]] => 3
[[3,3,2,0],[3,2,0],[3,1],[1]] => 3
[[3,3,2,0],[3,2,0],[3,1],[2]] => 4
[[3,3,2,0],[3,2,0],[3,1],[3]] => 4
[[3,3,2,0],[3,2,0],[3,2],[2]] => 3
[[3,3,2,0],[3,2,0],[3,2],[3]] => 4
[[3,3,2,0],[3,2,1],[2,1],[1]] => 2
[[3,3,2,0],[3,2,1],[2,1],[2]] => 3
[[3,3,2,0],[3,2,1],[2,2],[2]] => 4
[[3,3,2,0],[3,2,1],[3,1],[1]] => 3
[[3,3,2,0],[3,2,1],[3,1],[2]] => 4
[[3,3,2,0],[3,2,1],[3,1],[3]] => 4
[[3,3,2,0],[3,2,1],[3,2],[2]] => 4
[[3,3,2,0],[3,2,1],[3,2],[3]] => 5
[[3,3,2,0],[3,2,2],[2,2],[2]] => 4
[[3,3,2,0],[3,2,2],[3,2],[2]] => 4
[[3,3,2,0],[3,2,2],[3,2],[3]] => 5
[[3,3,2,0],[3,3,0],[3,0],[0]] => 3
[[3,3,2,0],[3,3,0],[3,0],[1]] => 4
[[3,3,2,0],[3,3,0],[3,0],[2]] => 4
[[3,3,2,0],[3,3,0],[3,0],[3]] => 4
[[3,3,2,0],[3,3,0],[3,1],[1]] => 4
[[3,3,2,0],[3,3,0],[3,1],[2]] => 5
[[3,3,2,0],[3,3,0],[3,1],[3]] => 5
[[3,3,2,0],[3,3,0],[3,2],[2]] => 4
[[3,3,2,0],[3,3,0],[3,2],[3]] => 5
[[3,3,2,0],[3,3,0],[3,3],[3]] => 5
[[3,3,2,0],[3,3,1],[3,1],[1]] => 4
[[3,3,2,0],[3,3,1],[3,1],[2]] => 5
[[3,3,2,0],[3,3,1],[3,1],[3]] => 5
[[3,3,2,0],[3,3,1],[3,2],[2]] => 5
[[3,3,2,0],[3,3,1],[3,2],[3]] => 6
[[3,3,2,0],[3,3,1],[3,3],[3]] => 6
[[3,3,2,0],[3,3,2],[3,2],[2]] => 4
[[3,3,2,0],[3,3,2],[3,2],[3]] => 5
[[3,3,2,0],[3,3,2],[3,3],[3]] => 6
[[3,3,2,1],[3,2,1],[2,1],[1]] => 1
[[3,3,2,1],[3,2,1],[2,1],[2]] => 2
[[3,3,2,1],[3,2,1],[2,2],[2]] => 3
[[3,3,2,1],[3,2,1],[3,1],[1]] => 2
[[3,3,2,1],[3,2,1],[3,1],[2]] => 3
[[3,3,2,1],[3,2,1],[3,1],[3]] => 3
[[3,3,2,1],[3,2,1],[3,2],[2]] => 3
[[3,3,2,1],[3,2,1],[3,2],[3]] => 4
[[3,3,2,1],[3,2,2],[2,2],[2]] => 4
[[3,3,2,1],[3,2,2],[3,2],[2]] => 4
[[3,3,2,1],[3,2,2],[3,2],[3]] => 5
[[3,3,2,1],[3,3,1],[3,1],[1]] => 3
[[3,3,2,1],[3,3,1],[3,1],[2]] => 4
[[3,3,2,1],[3,3,1],[3,1],[3]] => 4
[[3,3,2,1],[3,3,1],[3,2],[2]] => 4
[[3,3,2,1],[3,3,1],[3,2],[3]] => 5
[[3,3,2,1],[3,3,1],[3,3],[3]] => 5
[[3,3,2,1],[3,3,2],[3,2],[2]] => 4
[[3,3,2,1],[3,3,2],[3,2],[3]] => 5
[[3,3,2,1],[3,3,2],[3,3],[3]] => 6
[[3,3,2,2],[3,2,2],[2,2],[2]] => 4
[[3,3,2,2],[3,2,2],[3,2],[2]] => 4
[[3,3,2,2],[3,2,2],[3,2],[3]] => 5
[[3,3,2,2],[3,3,2],[3,2],[2]] => 4
[[3,3,2,2],[3,3,2],[3,2],[3]] => 5
[[3,3,2,2],[3,3,2],[3,3],[3]] => 6
[[3,3,3,0],[3,3,0],[3,0],[0]] => 3
[[3,3,3,0],[3,3,0],[3,0],[1]] => 4
[[3,3,3,0],[3,3,0],[3,0],[2]] => 4
[[3,3,3,0],[3,3,0],[3,0],[3]] => 4
[[3,3,3,0],[3,3,0],[3,1],[1]] => 4
[[3,3,3,0],[3,3,0],[3,1],[2]] => 5
[[3,3,3,0],[3,3,0],[3,1],[3]] => 5
[[3,3,3,0],[3,3,0],[3,2],[2]] => 4
[[3,3,3,0],[3,3,0],[3,2],[3]] => 5
[[3,3,3,0],[3,3,0],[3,3],[3]] => 5
[[3,3,3,0],[3,3,1],[3,1],[1]] => 4
[[3,3,3,0],[3,3,1],[3,1],[2]] => 5
[[3,3,3,0],[3,3,1],[3,1],[3]] => 5
[[3,3,3,0],[3,3,1],[3,2],[2]] => 5
[[3,3,3,0],[3,3,1],[3,2],[3]] => 6
[[3,3,3,0],[3,3,1],[3,3],[3]] => 6
[[3,3,3,0],[3,3,2],[3,2],[2]] => 4
[[3,3,3,0],[3,3,2],[3,2],[3]] => 5
[[3,3,3,0],[3,3,2],[3,3],[3]] => 6
[[3,3,3,0],[3,3,3],[3,3],[3]] => 6
[[3,3,3,1],[3,3,1],[3,1],[1]] => 3
[[3,3,3,1],[3,3,1],[3,1],[2]] => 4
[[3,3,3,1],[3,3,1],[3,1],[3]] => 4
[[3,3,3,1],[3,3,1],[3,2],[2]] => 4
[[3,3,3,1],[3,3,1],[3,2],[3]] => 5
[[3,3,3,1],[3,3,1],[3,3],[3]] => 5
[[3,3,3,1],[3,3,2],[3,2],[2]] => 4
[[3,3,3,1],[3,3,2],[3,2],[3]] => 5
[[3,3,3,1],[3,3,2],[3,3],[3]] => 6
[[3,3,3,1],[3,3,3],[3,3],[3]] => 6
[[3,3,3,2],[3,3,2],[3,2],[2]] => 3
[[3,3,3,2],[3,3,2],[3,2],[3]] => 4
[[3,3,3,2],[3,3,2],[3,3],[3]] => 5
[[3,3,3,2],[3,3,3],[3,3],[3]] => 6
[[3,3,3,3],[3,3,3],[3,3],[3]] => 6
[] => 0
[[0]] => 0
[[0,0],[0]] => 1
[[0,0,0],[0,0],[0]] => 3
[[3,3,2],[3,2],[2]] => 1
[[3,3,2],[3,2],[3]] => 2
[[3,3,2],[3,3],[3]] => 3
[[3,3,3],[3,3],[3]] => 3
[[0,0,0,0],[0,0,0],[0,0],[0]] => 6
[[2,2,2,0],[2,2,2],[2,2],[2]] => 6
[[2,2,2,1],[2,2,1],[2,1],[1]] => 3
[[2,2,2,1],[2,2,1],[2,1],[2]] => 4
[[2,2,2,1],[2,2,1],[2,2],[2]] => 5
[[2,2,2,1],[2,2,2],[2,2],[2]] => 6
[[2,2,2,2],[2,2,2],[2,2],[2]] => 6
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Generating function
$F_{(2, 1)} = 1 + q$
$F_{(2, 2)} = 1 + 3\ q$
$F_{(3, 1)} = 2\ q^{2} + q^{3}$
$F_{(2, 3)} = 2 + 4\ q$
$F_{(3, 2)} = q + 4\ q^{2} + 4\ q^{3}$
$F_{(4, 1)} = 3\ q^{5} + q^{6}$
$F_{(2, 4)} = 2 + 7\ q$
$F_{(3, 3)} = 1 + 2\ q + 8\ q^{2} + 8\ q^{3}$
$F_{(4, 2)} = 3\ q^{4} + 8\ q^{5} + 5\ q^{6}$
$F_{(3, 4)} = 1 + 4\ q + 18\ q^{2} + 16\ q^{3}$
$F_{(4, 3)} = 5\ q^{3} + 8\ q^{4} + 19\ q^{5} + 12\ q^{6}$
Description
Code
def statistic(g):
return g.number_of_boxes() + g.number_of_special_entries()
Created
Jul 09, 2013 at 15:54 by Jessica Striker
Updated
Apr 26, 2018 at 07:33 by Martin Rubey
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