Identifier
Values
[[1]] => 0
[[2]] => 0
[[3]] => 0
[[4]] => 0
[[5]] => 0
[[1,0],[0]] => 0
[[1,0],[1]] => 0
[[2,0],[0]] => 0
[[2,0],[1]] => 1
[[2,0],[2]] => 0
[[1,1],[1]] => 0
[[3,0],[0]] => 0
[[3,0],[1]] => 1
[[3,0],[2]] => 1
[[3,0],[3]] => 0
[[2,1],[1]] => 0
[[2,1],[2]] => 0
[[4,0],[0]] => 0
[[4,0],[1]] => 1
[[4,0],[2]] => 1
[[4,0],[3]] => 1
[[4,0],[4]] => 0
[[3,1],[1]] => 0
[[3,1],[2]] => 1
[[3,1],[3]] => 0
[[2,2],[2]] => 0
[[5,0],[0]] => 0
[[5,0],[1]] => 1
[[5,0],[2]] => 1
[[5,0],[3]] => 1
[[5,0],[4]] => 1
[[5,0],[5]] => 0
[[4,1],[1]] => 0
[[4,1],[2]] => 1
[[4,1],[3]] => 1
[[4,1],[4]] => 0
[[3,2],[2]] => 0
[[3,2],[3]] => 0
[[6,0],[0]] => 0
[[6,0],[1]] => 1
[[6,0],[2]] => 1
[[6,0],[3]] => 1
[[6,0],[4]] => 1
[[6,0],[5]] => 1
[[6,0],[6]] => 0
[[5,1],[1]] => 0
[[5,1],[2]] => 1
[[5,1],[3]] => 1
[[5,1],[4]] => 1
[[5,1],[5]] => 0
[[4,2],[2]] => 0
[[4,2],[3]] => 1
[[4,2],[4]] => 0
[[3,3],[3]] => 0
[[1,0,0],[0,0],[0]] => 0
[[1,0,0],[1,0],[0]] => 0
[[1,0,0],[1,0],[1]] => 0
[[2,0,0],[0,0],[0]] => 0
[[2,0,0],[1,0],[0]] => 1
[[2,0,0],[1,0],[1]] => 1
[[2,0,0],[2,0],[0]] => 0
[[2,0,0],[2,0],[1]] => 1
[[2,0,0],[2,0],[2]] => 0
[[1,1,0],[1,0],[0]] => 0
[[1,1,0],[1,0],[1]] => 0
[[1,1,0],[1,1],[1]] => 0
[[3,0,0],[0,0],[0]] => 0
[[3,0,0],[1,0],[0]] => 1
[[3,0,0],[1,0],[1]] => 1
[[3,0,0],[2,0],[0]] => 1
[[3,0,0],[2,0],[1]] => 2
[[3,0,0],[2,0],[2]] => 1
[[3,0,0],[3,0],[0]] => 0
[[3,0,0],[3,0],[1]] => 1
[[3,0,0],[3,0],[2]] => 1
[[3,0,0],[3,0],[3]] => 0
[[2,1,0],[1,0],[0]] => 0
[[2,1,0],[1,0],[1]] => 0
[[2,1,0],[1,1],[1]] => 0
[[2,1,0],[2,0],[0]] => 0
[[2,1,0],[2,0],[1]] => 1
[[2,1,0],[2,0],[2]] => 0
[[2,1,0],[2,1],[1]] => 0
[[2,1,0],[2,1],[2]] => 0
[[1,1,1],[1,1],[1]] => 0
[[4,0,0],[0,0],[0]] => 0
[[4,0,0],[1,0],[0]] => 1
[[4,0,0],[1,0],[1]] => 1
[[4,0,0],[2,0],[0]] => 1
[[4,0,0],[2,0],[1]] => 2
[[4,0,0],[2,0],[2]] => 1
[[4,0,0],[3,0],[0]] => 1
[[4,0,0],[3,0],[1]] => 2
[[4,0,0],[3,0],[2]] => 2
[[4,0,0],[3,0],[3]] => 1
[[4,0,0],[4,0],[0]] => 0
[[4,0,0],[4,0],[1]] => 1
[[4,0,0],[4,0],[2]] => 1
[[4,0,0],[4,0],[3]] => 1
[[4,0,0],[4,0],[4]] => 0
[[3,1,0],[1,0],[0]] => 0
>>> Load all 1587 entries. <<<[[3,1,0],[1,0],[1]] => 0
[[3,1,0],[1,1],[1]] => 0
[[3,1,0],[2,0],[0]] => 1
[[3,1,0],[2,0],[1]] => 2
[[3,1,0],[2,0],[2]] => 1
[[3,1,0],[2,1],[1]] => 1
[[3,1,0],[2,1],[2]] => 1
[[3,1,0],[3,0],[0]] => 0
[[3,1,0],[3,0],[1]] => 1
[[3,1,0],[3,0],[2]] => 1
[[3,1,0],[3,0],[3]] => 0
[[3,1,0],[3,1],[1]] => 0
[[3,1,0],[3,1],[2]] => 1
[[3,1,0],[3,1],[3]] => 0
[[2,2,0],[2,0],[0]] => 0
[[2,2,0],[2,0],[1]] => 1
[[2,2,0],[2,0],[2]] => 0
[[2,2,0],[2,1],[1]] => 1
[[2,2,0],[2,1],[2]] => 1
[[2,2,0],[2,2],[2]] => 0
[[2,1,1],[1,1],[1]] => 0
[[2,1,1],[2,1],[1]] => 0
[[2,1,1],[2,1],[2]] => 0
[[5,0,0],[0,0],[0]] => 0
[[5,0,0],[1,0],[0]] => 1
[[5,0,0],[1,0],[1]] => 1
[[5,0,0],[2,0],[0]] => 1
[[5,0,0],[2,0],[1]] => 2
[[5,0,0],[2,0],[2]] => 1
[[5,0,0],[3,0],[0]] => 1
[[5,0,0],[3,0],[1]] => 2
[[5,0,0],[3,0],[2]] => 2
[[5,0,0],[3,0],[3]] => 1
[[5,0,0],[4,0],[0]] => 1
[[5,0,0],[4,0],[1]] => 2
[[5,0,0],[4,0],[2]] => 2
[[5,0,0],[4,0],[3]] => 2
[[5,0,0],[4,0],[4]] => 1
[[5,0,0],[5,0],[1]] => 1
[[5,0,0],[5,0],[2]] => 1
[[5,0,0],[5,0],[3]] => 1
[[5,0,0],[5,0],[4]] => 1
[[5,0,0],[5,0],[5]] => 0
[[4,1,0],[1,0],[0]] => 0
[[4,1,0],[1,0],[1]] => 0
[[4,1,0],[1,1],[1]] => 0
[[4,1,0],[2,0],[0]] => 1
[[4,1,0],[2,0],[1]] => 2
[[4,1,0],[2,0],[2]] => 1
[[4,1,0],[2,1],[1]] => 1
[[4,1,0],[2,1],[2]] => 1
[[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]] => 1
[[4,1,0],[3,1],[1]] => 1
[[4,1,0],[3,1],[2]] => 2
[[4,1,0],[3,1],[3]] => 1
[[4,1,0],[4,0],[0]] => 0
[[4,1,0],[4,0],[1]] => 1
[[4,1,0],[4,0],[2]] => 1
[[4,1,0],[4,0],[3]] => 1
[[4,1,0],[4,0],[4]] => 0
[[4,1,0],[4,1],[1]] => 0
[[4,1,0],[4,1],[2]] => 1
[[4,1,0],[4,1],[3]] => 1
[[4,1,0],[4,1],[4]] => 0
[[3,2,0],[2,0],[0]] => 0
[[3,2,0],[2,0],[1]] => 1
[[3,2,0],[2,0],[2]] => 0
[[3,2,0],[2,1],[1]] => 1
[[3,2,0],[2,1],[2]] => 1
[[3,2,0],[2,2],[2]] => 0
[[3,2,0],[3,0],[0]] => 0
[[3,2,0],[3,0],[1]] => 1
[[3,2,0],[3,0],[2]] => 1
[[3,2,0],[3,0],[3]] => 0
[[3,2,0],[3,1],[1]] => 1
[[3,2,0],[3,1],[2]] => 2
[[3,2,0],[3,1],[3]] => 1
[[3,2,0],[3,2],[2]] => 0
[[3,2,0],[3,2],[3]] => 0
[[3,1,1],[1,1],[1]] => 0
[[3,1,1],[2,1],[1]] => 1
[[3,1,1],[2,1],[2]] => 1
[[3,1,1],[3,1],[1]] => 0
[[3,1,1],[3,1],[2]] => 1
[[3,1,1],[3,1],[3]] => 0
[[2,2,1],[2,1],[1]] => 0
[[2,2,1],[2,1],[2]] => 0
[[2,2,1],[2,2],[2]] => 0
[[3,3,0],[3,0],[0]] => 0
[[3,3,0],[3,0],[1]] => 1
[[3,3,0],[3,0],[2]] => 1
[[3,3,0],[3,0],[3]] => 0
[[3,3,0],[3,1],[1]] => 1
[[3,3,0],[3,1],[2]] => 2
[[3,3,0],[3,1],[3]] => 1
[[3,3,0],[3,2],[2]] => 1
[[3,3,0],[3,2],[3]] => 1
[[3,3,0],[3,3],[3]] => 0
[[3,2,1],[2,1],[1]] => 0
[[3,2,1],[2,1],[2]] => 0
[[3,2,1],[2,2],[2]] => 0
[[3,2,1],[3,1],[1]] => 0
[[3,2,1],[3,1],[2]] => 1
[[3,2,1],[3,1],[3]] => 0
[[3,2,1],[3,2],[2]] => 0
[[3,2,1],[3,2],[3]] => 0
[[2,2,2],[2,2],[2]] => 0
[[3,3,1],[3,3],[3]] => 0
[[3,3,1],[3,2],[3]] => 1
[[3,3,1],[3,1],[3]] => 0
[[3,3,1],[3,2],[2]] => 1
[[3,3,1],[3,1],[2]] => 1
[[3,3,1],[3,1],[1]] => 0
[[3,2,2],[3,2],[3]] => 0
[[3,2,2],[3,2],[2]] => 0
[[3,2,2],[2,2],[2]] => 0
[[1,0,0,0],[0,0,0],[0,0],[0]] => 0
[[1,0,0,0],[1,0,0],[0,0],[0]] => 0
[[1,0,0,0],[1,0,0],[1,0],[0]] => 0
[[1,0,0,0],[1,0,0],[1,0],[1]] => 0
[[2,0,0,0],[0,0,0],[0,0],[0]] => 0
[[2,0,0,0],[1,0,0],[0,0],[0]] => 1
[[2,0,0,0],[1,0,0],[1,0],[0]] => 1
[[2,0,0,0],[1,0,0],[1,0],[1]] => 1
[[2,0,0,0],[2,0,0],[0,0],[0]] => 0
[[2,0,0,0],[2,0,0],[1,0],[0]] => 1
[[2,0,0,0],[2,0,0],[1,0],[1]] => 1
[[2,0,0,0],[2,0,0],[2,0],[0]] => 0
[[2,0,0,0],[2,0,0],[2,0],[1]] => 1
[[2,0,0,0],[2,0,0],[2,0],[2]] => 0
[[1,1,0,0],[1,0,0],[0,0],[0]] => 0
[[1,1,0,0],[1,0,0],[1,0],[0]] => 0
[[1,1,0,0],[1,0,0],[1,0],[1]] => 0
[[1,1,0,0],[1,1,0],[1,0],[0]] => 0
[[1,1,0,0],[1,1,0],[1,0],[1]] => 0
[[1,1,0,0],[1,1,0],[1,1],[1]] => 0
[[3,0,0,0],[0,0,0],[0,0],[0]] => 0
[[3,0,0,0],[1,0,0],[0,0],[0]] => 1
[[3,0,0,0],[1,0,0],[1,0],[0]] => 1
[[3,0,0,0],[1,0,0],[1,0],[1]] => 1
[[3,0,0,0],[2,0,0],[0,0],[0]] => 1
[[3,0,0,0],[2,0,0],[1,0],[0]] => 2
[[3,0,0,0],[2,0,0],[1,0],[1]] => 2
[[3,0,0,0],[2,0,0],[2,0],[0]] => 1
[[3,0,0,0],[2,0,0],[2,0],[1]] => 2
[[3,0,0,0],[2,0,0],[2,0],[2]] => 1
[[3,0,0,0],[3,0,0],[0,0],[0]] => 0
[[3,0,0,0],[3,0,0],[1,0],[0]] => 1
[[3,0,0,0],[3,0,0],[1,0],[1]] => 1
[[3,0,0,0],[3,0,0],[2,0],[0]] => 1
[[3,0,0,0],[3,0,0],[2,0],[1]] => 2
[[3,0,0,0],[3,0,0],[2,0],[2]] => 1
[[3,0,0,0],[3,0,0],[3,0],[0]] => 0
[[3,0,0,0],[3,0,0],[3,0],[1]] => 1
[[3,0,0,0],[3,0,0],[3,0],[2]] => 1
[[3,0,0,0],[3,0,0],[3,0],[3]] => 0
[[2,1,0,0],[1,0,0],[0,0],[0]] => 0
[[2,1,0,0],[1,0,0],[1,0],[0]] => 0
[[2,1,0,0],[1,0,0],[1,0],[1]] => 0
[[2,1,0,0],[1,1,0],[1,0],[0]] => 0
[[2,1,0,0],[1,1,0],[1,0],[1]] => 0
[[2,1,0,0],[1,1,0],[1,1],[1]] => 0
[[2,1,0,0],[2,0,0],[0,0],[0]] => 0
[[2,1,0,0],[2,0,0],[1,0],[0]] => 1
[[2,1,0,0],[2,0,0],[1,0],[1]] => 1
[[2,1,0,0],[2,0,0],[2,0],[0]] => 0
[[2,1,0,0],[2,0,0],[2,0],[1]] => 1
[[2,1,0,0],[2,0,0],[2,0],[2]] => 0
[[2,1,0,0],[2,1,0],[1,0],[0]] => 0
[[2,1,0,0],[2,1,0],[1,0],[1]] => 0
[[2,1,0,0],[2,1,0],[1,1],[1]] => 0
[[2,1,0,0],[2,1,0],[2,0],[0]] => 0
[[2,1,0,0],[2,1,0],[2,0],[1]] => 1
[[2,1,0,0],[2,1,0],[2,0],[2]] => 0
[[2,1,0,0],[2,1,0],[2,1],[1]] => 0
[[2,1,0,0],[2,1,0],[2,1],[2]] => 0
[[1,1,1,0],[1,1,0],[1,0],[0]] => 0
[[1,1,1,0],[1,1,0],[1,0],[1]] => 0
[[1,1,1,0],[1,1,0],[1,1],[1]] => 0
[[1,1,1,0],[1,1,1],[1,1],[1]] => 0
[[4,0,0,0],[0,0,0],[0,0],[0]] => 0
[[4,0,0,0],[1,0,0],[0,0],[0]] => 1
[[4,0,0,0],[1,0,0],[1,0],[0]] => 1
[[4,0,0,0],[1,0,0],[1,0],[1]] => 1
[[4,0,0,0],[2,0,0],[0,0],[0]] => 1
[[4,0,0,0],[2,0,0],[1,0],[0]] => 2
[[4,0,0,0],[2,0,0],[1,0],[1]] => 2
[[4,0,0,0],[2,0,0],[2,0],[0]] => 1
[[4,0,0,0],[2,0,0],[2,0],[1]] => 2
[[4,0,0,0],[2,0,0],[2,0],[2]] => 1
[[4,0,0,0],[3,0,0],[0,0],[0]] => 1
[[4,0,0,0],[3,0,0],[1,0],[0]] => 2
[[4,0,0,0],[3,0,0],[1,0],[1]] => 2
[[4,0,0,0],[3,0,0],[2,0],[0]] => 2
[[4,0,0,0],[3,0,0],[2,0],[1]] => 3
[[4,0,0,0],[3,0,0],[2,0],[2]] => 2
[[4,0,0,0],[3,0,0],[3,0],[0]] => 1
[[4,0,0,0],[3,0,0],[3,0],[1]] => 2
[[4,0,0,0],[3,0,0],[3,0],[2]] => 2
[[4,0,0,0],[3,0,0],[3,0],[3]] => 1
[[4,0,0,0],[4,0,0],[1,0],[1]] => 1
[[4,0,0,0],[4,0,0],[2,0],[1]] => 2
[[4,0,0,0],[4,0,0],[2,0],[2]] => 1
[[4,0,0,0],[4,0,0],[3,0],[1]] => 2
[[4,0,0,0],[4,0,0],[3,0],[2]] => 2
[[4,0,0,0],[4,0,0],[3,0],[3]] => 1
[[4,0,0,0],[4,0,0],[4,0],[1]] => 1
[[4,0,0,0],[4,0,0],[4,0],[2]] => 1
[[4,0,0,0],[4,0,0],[4,0],[3]] => 1
[[4,0,0,0],[4,0,0],[4,0],[4]] => 0
[[3,1,0,0],[1,0,0],[0,0],[0]] => 0
[[3,1,0,0],[1,0,0],[1,0],[0]] => 0
[[3,1,0,0],[1,0,0],[1,0],[1]] => 0
[[3,1,0,0],[1,1,0],[1,0],[0]] => 0
[[3,1,0,0],[1,1,0],[1,0],[1]] => 0
[[3,1,0,0],[1,1,0],[1,1],[1]] => 0
[[3,1,0,0],[2,0,0],[0,0],[0]] => 1
[[3,1,0,0],[2,0,0],[1,0],[0]] => 2
[[3,1,0,0],[2,0,0],[1,0],[1]] => 2
[[3,1,0,0],[2,0,0],[2,0],[0]] => 1
[[3,1,0,0],[2,0,0],[2,0],[1]] => 2
[[3,1,0,0],[2,0,0],[2,0],[2]] => 1
[[3,1,0,0],[2,1,0],[1,0],[0]] => 1
[[3,1,0,0],[2,1,0],[1,0],[1]] => 1
[[3,1,0,0],[2,1,0],[1,1],[1]] => 1
[[3,1,0,0],[2,1,0],[2,0],[0]] => 1
[[3,1,0,0],[2,1,0],[2,0],[1]] => 2
[[3,1,0,0],[2,1,0],[2,0],[2]] => 1
[[3,1,0,0],[2,1,0],[2,1],[1]] => 1
[[3,1,0,0],[2,1,0],[2,1],[2]] => 1
[[3,1,0,0],[3,0,0],[0,0],[0]] => 0
[[3,1,0,0],[3,0,0],[1,0],[0]] => 1
[[3,1,0,0],[3,0,0],[1,0],[1]] => 1
[[3,1,0,0],[3,0,0],[2,0],[0]] => 1
[[3,1,0,0],[3,0,0],[2,0],[1]] => 2
[[3,1,0,0],[3,0,0],[2,0],[2]] => 1
[[3,1,0,0],[3,0,0],[3,0],[0]] => 0
[[3,1,0,0],[3,0,0],[3,0],[1]] => 1
[[3,1,0,0],[3,0,0],[3,0],[2]] => 1
[[3,1,0,0],[3,0,0],[3,0],[3]] => 0
[[3,1,0,0],[3,1,0],[1,0],[0]] => 0
[[3,1,0,0],[3,1,0],[1,0],[1]] => 0
[[3,1,0,0],[3,1,0],[1,1],[1]] => 0
[[3,1,0,0],[3,1,0],[2,0],[0]] => 1
[[3,1,0,0],[3,1,0],[2,0],[1]] => 2
[[3,1,0,0],[3,1,0],[2,0],[2]] => 1
[[3,1,0,0],[3,1,0],[2,1],[1]] => 1
[[3,1,0,0],[3,1,0],[2,1],[2]] => 1
[[3,1,0,0],[3,1,0],[3,0],[0]] => 0
[[3,1,0,0],[3,1,0],[3,0],[1]] => 1
[[3,1,0,0],[3,1,0],[3,0],[2]] => 1
[[3,1,0,0],[3,1,0],[3,0],[3]] => 0
[[3,1,0,0],[3,1,0],[3,1],[1]] => 0
[[3,1,0,0],[3,1,0],[3,1],[2]] => 1
[[3,1,0,0],[3,1,0],[3,1],[3]] => 0
[[2,2,0,0],[2,0,0],[0,0],[0]] => 0
[[2,2,0,0],[2,0,0],[1,0],[0]] => 1
[[2,2,0,0],[2,0,0],[1,0],[1]] => 1
[[2,2,0,0],[2,0,0],[2,0],[0]] => 0
[[2,2,0,0],[2,0,0],[2,0],[1]] => 1
[[2,2,0,0],[2,0,0],[2,0],[2]] => 0
[[2,2,0,0],[2,1,0],[1,0],[0]] => 1
[[2,2,0,0],[2,1,0],[1,0],[1]] => 1
[[2,2,0,0],[2,1,0],[1,1],[1]] => 1
[[2,2,0,0],[2,1,0],[2,0],[0]] => 1
[[2,2,0,0],[2,1,0],[2,0],[1]] => 2
[[2,2,0,0],[2,1,0],[2,0],[2]] => 1
[[2,2,0,0],[2,1,0],[2,1],[1]] => 1
[[2,2,0,0],[2,1,0],[2,1],[2]] => 1
[[2,2,0,0],[2,2,0],[2,0],[0]] => 0
[[2,2,0,0],[2,2,0],[2,0],[1]] => 1
[[2,2,0,0],[2,2,0],[2,0],[2]] => 0
[[2,2,0,0],[2,2,0],[2,1],[1]] => 1
[[2,2,0,0],[2,2,0],[2,1],[2]] => 1
[[2,2,0,0],[2,2,0],[2,2],[2]] => 0
[[2,1,1,0],[1,1,0],[1,0],[0]] => 0
[[2,1,1,0],[1,1,0],[1,0],[1]] => 0
[[2,1,1,0],[1,1,0],[1,1],[1]] => 0
[[2,1,1,0],[1,1,1],[1,1],[1]] => 0
[[2,1,1,0],[2,1,0],[1,0],[0]] => 0
[[2,1,1,0],[2,1,0],[1,0],[1]] => 0
[[2,1,1,0],[2,1,0],[1,1],[1]] => 0
[[2,1,1,0],[2,1,0],[2,0],[0]] => 0
[[2,1,1,0],[2,1,0],[2,0],[1]] => 1
[[2,1,1,0],[2,1,0],[2,0],[2]] => 0
[[2,1,1,0],[2,1,0],[2,1],[1]] => 0
[[2,1,1,0],[2,1,0],[2,1],[2]] => 0
[[2,1,1,0],[2,1,1],[1,1],[1]] => 0
[[2,1,1,0],[2,1,1],[2,1],[1]] => 0
[[2,1,1,0],[2,1,1],[2,1],[2]] => 0
[[1,1,1,1],[1,1,1],[1,1],[1]] => 0
[[3,2,0,0],[2,0,0],[0,0],[0]] => 0
[[3,2,0,0],[2,0,0],[1,0],[0]] => 1
[[3,2,0,0],[2,0,0],[1,0],[1]] => 1
[[3,2,0,0],[2,0,0],[2,0],[0]] => 0
[[3,2,0,0],[2,0,0],[2,0],[1]] => 1
[[3,2,0,0],[2,0,0],[2,0],[2]] => 0
[[3,2,0,0],[2,1,0],[1,0],[0]] => 1
[[3,2,0,0],[2,1,0],[1,0],[1]] => 1
[[3,2,0,0],[2,1,0],[1,1],[1]] => 1
[[3,2,0,0],[2,1,0],[2,0],[0]] => 1
[[3,2,0,0],[2,1,0],[2,0],[1]] => 2
[[3,2,0,0],[2,1,0],[2,0],[2]] => 1
[[3,2,0,0],[2,1,0],[2,1],[1]] => 1
[[3,2,0,0],[2,1,0],[2,1],[2]] => 1
[[3,2,0,0],[2,2,0],[2,0],[0]] => 0
[[3,2,0,0],[2,2,0],[2,0],[1]] => 1
[[3,2,0,0],[2,2,0],[2,0],[2]] => 0
[[3,2,0,0],[2,2,0],[2,1],[1]] => 1
[[3,2,0,0],[2,2,0],[2,1],[2]] => 1
[[3,2,0,0],[2,2,0],[2,2],[2]] => 0
[[3,2,0,0],[3,0,0],[0,0],[0]] => 0
[[3,2,0,0],[3,0,0],[1,0],[0]] => 1
[[3,2,0,0],[3,0,0],[1,0],[1]] => 1
[[3,2,0,0],[3,0,0],[2,0],[0]] => 1
[[3,2,0,0],[3,0,0],[2,0],[1]] => 2
[[3,2,0,0],[3,0,0],[2,0],[2]] => 1
[[3,2,0,0],[3,0,0],[3,0],[0]] => 0
[[3,2,0,0],[3,0,0],[3,0],[1]] => 1
[[3,2,0,0],[3,0,0],[3,0],[2]] => 1
[[3,2,0,0],[3,0,0],[3,0],[3]] => 0
[[3,2,0,0],[3,1,0],[1,0],[0]] => 1
[[3,2,0,0],[3,1,0],[1,0],[1]] => 1
[[3,2,0,0],[3,1,0],[1,1],[1]] => 1
[[3,2,0,0],[3,1,0],[2,0],[0]] => 2
[[3,2,0,0],[3,1,0],[2,0],[1]] => 3
[[3,2,0,0],[3,1,0],[2,0],[2]] => 2
[[3,2,0,0],[3,1,0],[2,1],[1]] => 2
[[3,2,0,0],[3,1,0],[2,1],[2]] => 2
[[3,2,0,0],[3,1,0],[3,0],[0]] => 1
[[3,2,0,0],[3,1,0],[3,0],[1]] => 2
[[3,2,0,0],[3,1,0],[3,0],[2]] => 2
[[3,2,0,0],[3,1,0],[3,0],[3]] => 1
[[3,2,0,0],[3,1,0],[3,1],[1]] => 1
[[3,2,0,0],[3,1,0],[3,1],[2]] => 2
[[3,2,0,0],[3,1,0],[3,1],[3]] => 1
[[3,2,0,0],[3,2,0],[2,0],[0]] => 0
[[3,2,0,0],[3,2,0],[2,0],[1]] => 1
[[3,2,0,0],[3,2,0],[2,0],[2]] => 0
[[3,2,0,0],[3,2,0],[2,1],[1]] => 1
[[3,2,0,0],[3,2,0],[2,1],[2]] => 1
[[3,2,0,0],[3,2,0],[2,2],[2]] => 0
[[3,2,0,0],[3,2,0],[3,0],[0]] => 0
[[3,2,0,0],[3,2,0],[3,0],[1]] => 1
[[3,2,0,0],[3,2,0],[3,0],[2]] => 1
[[3,2,0,0],[3,2,0],[3,0],[3]] => 0
[[3,2,0,0],[3,2,0],[3,1],[1]] => 1
[[3,2,0,0],[3,2,0],[3,1],[2]] => 2
[[3,2,0,0],[3,2,0],[3,1],[3]] => 1
[[3,2,0,0],[3,2,0],[3,2],[2]] => 0
[[3,2,0,0],[3,2,0],[3,2],[3]] => 0
[[3,1,1,0],[1,1,0],[1,0],[0]] => 0
[[3,1,1,0],[1,1,0],[1,0],[1]] => 0
[[3,1,1,0],[1,1,0],[1,1],[1]] => 0
[[3,1,1,0],[1,1,1],[1,1],[1]] => 0
[[3,1,1,0],[2,1,0],[1,0],[0]] => 1
[[3,1,1,0],[2,1,0],[1,0],[1]] => 1
[[3,1,1,0],[2,1,0],[1,1],[1]] => 1
[[3,1,1,0],[2,1,0],[2,0],[0]] => 1
[[3,1,1,0],[2,1,0],[2,0],[1]] => 2
[[3,1,1,0],[2,1,0],[2,0],[2]] => 1
[[3,1,1,0],[2,1,0],[2,1],[1]] => 1
[[3,1,1,0],[2,1,0],[2,1],[2]] => 1
[[3,1,1,0],[2,1,1],[1,1],[1]] => 1
[[3,1,1,0],[2,1,1],[2,1],[1]] => 1
[[3,1,1,0],[2,1,1],[2,1],[2]] => 1
[[3,1,1,0],[3,1,0],[1,0],[0]] => 0
[[3,1,1,0],[3,1,0],[1,0],[1]] => 0
[[3,1,1,0],[3,1,0],[1,1],[1]] => 0
[[3,1,1,0],[3,1,0],[2,0],[0]] => 1
[[3,1,1,0],[3,1,0],[2,0],[1]] => 2
[[3,1,1,0],[3,1,0],[2,0],[2]] => 1
[[3,1,1,0],[3,1,0],[2,1],[1]] => 1
[[3,1,1,0],[3,1,0],[2,1],[2]] => 1
[[3,1,1,0],[3,1,0],[3,0],[0]] => 0
[[3,1,1,0],[3,1,0],[3,0],[1]] => 1
[[3,1,1,0],[3,1,0],[3,0],[2]] => 1
[[3,1,1,0],[3,1,0],[3,0],[3]] => 0
[[3,1,1,0],[3,1,0],[3,1],[1]] => 0
[[3,1,1,0],[3,1,0],[3,1],[2]] => 1
[[3,1,1,0],[3,1,0],[3,1],[3]] => 0
[[3,1,1,0],[3,1,1],[1,1],[1]] => 0
[[3,1,1,0],[3,1,1],[2,1],[1]] => 1
[[3,1,1,0],[3,1,1],[2,1],[2]] => 1
[[3,1,1,0],[3,1,1],[3,1],[1]] => 0
[[3,1,1,0],[3,1,1],[3,1],[2]] => 1
[[3,1,1,0],[3,1,1],[3,1],[3]] => 0
[[2,2,1,0],[2,1,0],[1,0],[0]] => 0
[[2,2,1,0],[2,1,0],[1,0],[1]] => 0
[[2,2,1,0],[2,1,0],[1,1],[1]] => 0
[[2,2,1,0],[2,1,0],[2,0],[0]] => 0
[[2,2,1,0],[2,1,0],[2,0],[1]] => 1
[[2,2,1,0],[2,1,0],[2,0],[2]] => 0
[[2,2,1,0],[2,1,0],[2,1],[1]] => 0
[[2,2,1,0],[2,1,0],[2,1],[2]] => 0
[[2,2,1,0],[2,1,1],[1,1],[1]] => 0
[[2,2,1,0],[2,1,1],[2,1],[1]] => 0
[[2,2,1,0],[2,1,1],[2,1],[2]] => 0
[[2,2,1,0],[2,2,0],[2,0],[0]] => 0
[[2,2,1,0],[2,2,0],[2,0],[1]] => 1
[[2,2,1,0],[2,2,0],[2,0],[2]] => 0
[[2,2,1,0],[2,2,0],[2,1],[1]] => 1
[[2,2,1,0],[2,2,0],[2,1],[2]] => 1
[[2,2,1,0],[2,2,0],[2,2],[2]] => 0
[[2,2,1,0],[2,2,1],[2,1],[1]] => 0
[[2,2,1,0],[2,2,1],[2,1],[2]] => 0
[[2,2,1,0],[2,2,1],[2,2],[2]] => 0
[[2,1,1,1],[1,1,1],[1,1],[1]] => 0
[[2,1,1,1],[2,1,1],[1,1],[1]] => 0
[[2,1,1,1],[2,1,1],[2,1],[1]] => 0
[[2,1,1,1],[2,1,1],[2,1],[2]] => 0
[[3,3,0,0],[3,2,0],[3,2],[3]] => 1
[[3,3,0,0],[3,2,0],[3,1],[3]] => 2
[[3,3,0,0],[3,1,0],[3,1],[3]] => 1
[[3,3,0,0],[3,2,0],[3,0],[3]] => 1
[[3,3,0,0],[3,1,0],[3,0],[3]] => 1
[[3,3,0,0],[3,0,0],[3,0],[3]] => 0
[[3,3,0,0],[3,2,0],[3,2],[2]] => 1
[[3,3,0,0],[3,2,0],[3,1],[2]] => 3
[[3,3,0,0],[3,2,0],[2,2],[2]] => 1
[[3,3,0,0],[3,1,0],[3,1],[2]] => 2
[[3,3,0,0],[3,2,0],[3,0],[2]] => 2
[[3,3,0,0],[3,2,0],[2,1],[2]] => 2
[[3,3,0,0],[3,1,0],[3,0],[2]] => 2
[[3,3,0,0],[3,1,0],[2,1],[2]] => 2
[[3,3,0,0],[3,0,0],[3,0],[2]] => 1
[[3,3,0,0],[3,2,0],[2,0],[2]] => 1
[[3,3,0,0],[3,1,0],[2,0],[2]] => 2
[[3,3,0,0],[3,0,0],[2,0],[2]] => 1
[[3,3,0,0],[3,2,0],[3,1],[1]] => 2
[[3,3,0,0],[3,1,0],[3,1],[1]] => 1
[[3,3,0,0],[3,2,0],[3,0],[1]] => 2
[[3,3,0,0],[3,2,0],[2,1],[1]] => 2
[[3,3,0,0],[3,1,0],[3,0],[1]] => 2
[[3,3,0,0],[3,1,0],[2,1],[1]] => 2
[[3,3,0,0],[3,0,0],[3,0],[1]] => 1
[[3,3,0,0],[3,2,0],[2,0],[1]] => 2
[[3,3,0,0],[3,1,0],[2,0],[1]] => 3
[[3,3,0,0],[3,1,0],[1,1],[1]] => 1
[[3,3,0,0],[3,0,0],[2,0],[1]] => 2
[[3,3,0,0],[3,1,0],[1,0],[1]] => 1
[[3,3,0,0],[3,0,0],[1,0],[1]] => 1
[[3,3,0,0],[3,2,0],[3,0],[0]] => 1
[[3,3,0,0],[3,1,0],[3,0],[0]] => 1
[[3,3,0,0],[3,0,0],[3,0],[0]] => 0
[[3,3,0,0],[3,2,0],[2,0],[0]] => 1
[[3,3,0,0],[3,1,0],[2,0],[0]] => 2
[[3,3,0,0],[3,0,0],[2,0],[0]] => 1
[[3,3,0,0],[3,1,0],[1,0],[0]] => 1
[[3,3,0,0],[3,0,0],[1,0],[0]] => 1
[[3,3,0,0],[3,0,0],[0,0],[0]] => 0
[[3,2,1,0],[3,2,0],[3,2],[3]] => 0
[[3,2,1,0],[3,2,0],[3,1],[3]] => 1
[[3,2,1,0],[3,1,1],[3,1],[3]] => 0
[[3,2,1,0],[3,1,0],[3,1],[3]] => 0
[[3,2,1,0],[3,2,0],[3,0],[3]] => 0
[[3,2,1,0],[3,1,0],[3,0],[3]] => 0
[[3,2,1,0],[3,2,0],[3,2],[2]] => 0
[[3,2,1,0],[3,2,0],[3,1],[2]] => 2
[[3,2,1,0],[3,1,1],[3,1],[2]] => 1
[[3,2,1,0],[3,2,0],[2,2],[2]] => 0
[[3,2,1,0],[2,2,1],[2,2],[2]] => 0
[[3,2,1,0],[3,1,0],[3,1],[2]] => 1
[[3,2,1,0],[2,2,0],[2,2],[2]] => 0
[[3,2,1,0],[3,2,0],[3,0],[2]] => 1
[[3,2,1,0],[3,2,0],[2,1],[2]] => 1
[[3,2,1,0],[3,1,1],[2,1],[2]] => 1
[[3,2,1,0],[2,2,1],[2,1],[2]] => 0
[[3,2,1,0],[3,1,0],[3,0],[2]] => 1
[[3,2,1,0],[3,1,0],[2,1],[2]] => 1
[[3,2,1,0],[2,2,0],[2,1],[2]] => 1
[[3,2,1,0],[2,1,1],[2,1],[2]] => 0
[[3,2,1,0],[2,1,0],[2,1],[2]] => 0
[[3,2,1,0],[3,2,0],[2,0],[2]] => 0
[[3,2,1,0],[3,1,0],[2,0],[2]] => 1
[[3,2,1,0],[2,2,0],[2,0],[2]] => 0
[[3,2,1,0],[2,1,0],[2,0],[2]] => 0
[[3,2,1,0],[3,2,0],[3,1],[1]] => 1
[[3,2,1,0],[3,1,1],[3,1],[1]] => 0
[[3,2,1,0],[3,1,0],[3,1],[1]] => 0
[[3,2,1,0],[3,2,0],[3,0],[1]] => 1
[[3,2,1,0],[3,2,0],[2,1],[1]] => 1
[[3,2,1,0],[3,1,1],[2,1],[1]] => 1
[[3,2,1,0],[2,2,1],[2,1],[1]] => 0
[[3,2,1,0],[3,1,0],[3,0],[1]] => 1
[[3,2,1,0],[3,1,0],[2,1],[1]] => 1
[[3,2,1,0],[2,2,0],[2,1],[1]] => 1
[[3,2,1,0],[2,1,1],[2,1],[1]] => 0
[[3,2,1,0],[2,1,0],[2,1],[1]] => 0
[[3,2,1,0],[3,2,0],[2,0],[1]] => 1
[[3,2,1,0],[3,1,1],[1,1],[1]] => 0
[[3,2,1,0],[3,1,0],[2,0],[1]] => 2
[[3,2,1,0],[2,2,0],[2,0],[1]] => 1
[[3,2,1,0],[3,1,0],[1,1],[1]] => 0
[[3,2,1,0],[2,1,1],[1,1],[1]] => 0
[[3,2,1,0],[2,1,0],[2,0],[1]] => 1
[[3,2,1,0],[2,1,0],[1,1],[1]] => 0
[[3,2,1,0],[3,1,0],[1,0],[1]] => 0
[[3,2,1,0],[2,1,0],[1,0],[1]] => 0
[[3,2,1,0],[3,2,0],[3,0],[0]] => 0
[[3,2,1,0],[3,1,0],[3,0],[0]] => 0
[[3,2,1,0],[3,2,0],[2,0],[0]] => 0
[[3,2,1,0],[3,1,0],[2,0],[0]] => 1
[[3,2,1,0],[2,2,0],[2,0],[0]] => 0
[[3,2,1,0],[2,1,0],[2,0],[0]] => 0
[[3,2,1,0],[3,1,0],[1,0],[0]] => 0
[[3,2,1,0],[2,1,0],[1,0],[0]] => 0
[[3,1,1,1],[3,1,1],[3,1],[3]] => 0
[[3,1,1,1],[3,1,1],[3,1],[2]] => 1
[[3,1,1,1],[3,1,1],[2,1],[2]] => 1
[[3,1,1,1],[2,1,1],[2,1],[2]] => 1
[[3,1,1,1],[3,1,1],[3,1],[1]] => 0
[[3,1,1,1],[3,1,1],[2,1],[1]] => 1
[[3,1,1,1],[2,1,1],[2,1],[1]] => 1
[[3,1,1,1],[3,1,1],[1,1],[1]] => 0
[[3,1,1,1],[2,1,1],[1,1],[1]] => 1
[[3,1,1,1],[1,1,1],[1,1],[1]] => 0
[[2,2,2,0],[2,2,1],[2,2],[2]] => 1
[[2,2,2,0],[2,2,0],[2,2],[2]] => 0
[[2,2,2,0],[2,2,1],[2,1],[2]] => 1
[[2,2,2,0],[2,2,0],[2,1],[2]] => 1
[[2,2,2,0],[2,2,0],[2,0],[2]] => 0
[[2,2,2,0],[2,2,1],[2,1],[1]] => 1
[[2,2,2,0],[2,2,0],[2,1],[1]] => 1
[[2,2,2,0],[2,2,0],[2,0],[1]] => 1
[[2,2,2,0],[2,2,0],[2,0],[0]] => 0
[[2,2,1,1],[2,2,1],[2,2],[2]] => 0
[[2,2,1,1],[2,2,1],[2,1],[2]] => 0
[[2,2,1,1],[2,1,1],[2,1],[2]] => 0
[[2,2,1,1],[2,2,1],[2,1],[1]] => 0
[[2,2,1,1],[2,1,1],[2,1],[1]] => 0
[[2,2,1,1],[2,1,1],[1,1],[1]] => 0
[[4,3,2,1],[4,3,2],[4,3],[4]] => 0
[[4,3,2,1],[4,3,2],[4,3],[3]] => 0
[[4,3,2,1],[4,3,2],[4,2],[4]] => 0
[[4,3,2,1],[4,3,2],[4,2],[3]] => 1
[[4,3,2,1],[4,3,2],[3,2],[3]] => 0
[[4,3,2,1],[4,3,2],[4,2],[2]] => 0
[[4,3,2,1],[4,3,2],[3,2],[2]] => 0
[[4,3,2,1],[4,3,1],[4,3],[4]] => 0
[[4,3,2,1],[4,3,1],[4,3],[3]] => 0
[[4,3,2,1],[4,3,1],[4,2],[4]] => 1
[[4,3,2,1],[4,3,1],[4,2],[3]] => 2
[[4,3,2,1],[4,3,1],[3,2],[3]] => 1
[[4,3,2,1],[4,3,1],[4,2],[2]] => 1
[[4,3,2,1],[4,3,1],[3,2],[2]] => 1
[[4,3,2,1],[4,2,1],[4,2],[4]] => 0
[[4,3,2,1],[4,2,1],[4,2],[3]] => 1
[[4,3,2,1],[4,2,1],[3,2],[3]] => 1
[[4,3,2,1],[3,2,1],[3,2],[3]] => 0
[[4,3,2,1],[4,2,1],[4,2],[2]] => 0
[[4,3,2,1],[4,2,1],[3,2],[2]] => 1
[[4,3,2,1],[3,2,1],[3,2],[2]] => 0
[[4,3,2,1],[4,3,1],[4,1],[4]] => 0
[[4,3,2,1],[4,3,1],[4,1],[3]] => 1
[[4,3,2,1],[4,3,1],[3,1],[3]] => 0
[[4,3,2,1],[4,3,1],[4,1],[2]] => 1
[[4,3,2,1],[4,3,1],[3,1],[2]] => 1
[[4,3,2,1],[4,2,1],[4,1],[4]] => 0
[[4,3,2,1],[4,2,1],[4,1],[3]] => 1
[[4,3,2,1],[4,2,1],[3,1],[3]] => 1
[[4,3,2,1],[3,2,1],[3,1],[3]] => 0
[[4,3,2,1],[4,2,1],[4,1],[2]] => 1
[[4,3,2,1],[4,2,1],[3,1],[2]] => 2
[[4,3,2,1],[3,2,1],[3,1],[2]] => 1
[[4,3,2,1],[4,2,1],[2,1],[2]] => 0
[[4,3,2,1],[3,2,1],[2,1],[2]] => 0
[[4,3,2,1],[4,3,1],[4,1],[1]] => 0
[[4,3,2,1],[4,3,1],[3,1],[1]] => 0
[[4,3,2,1],[4,2,1],[4,1],[1]] => 0
[[4,3,2,1],[4,2,1],[3,1],[1]] => 1
[[4,3,2,1],[3,2,1],[3,1],[1]] => 0
[[4,3,2,1],[4,2,1],[2,1],[1]] => 0
[[4,3,2,1],[3,2,1],[2,1],[1]] => 0
[[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 0
[[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 0
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 0
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 0
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 0
[[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 0
[[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 1
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 1
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 1
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 1
[[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 0
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 1
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 1
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 1
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 0
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 1
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 1
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 0
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 1
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 0
[[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 0
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 0
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 0
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 0
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]] => 0
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]] => 0
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => 0
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]] => 0
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => 0
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => 0
[[3,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 0
[[3,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 1
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 1
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 1
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 1
[[3,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 1
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 2
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 2
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 2
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 1
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 2
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 2
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 1
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 2
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 1
[[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]] => 1
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]] => 2
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]] => 2
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]] => 1
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]] => 1
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]] => 2
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]] => 1
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]] => 1
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]] => 1
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]] => 0
[[2,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 0
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 0
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 0
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 0
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]] => 0
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]] => 0
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => 0
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]] => 0
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => 0
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => 0
[[2,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 0
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 1
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 1
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 1
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 0
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 1
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 1
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 0
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 1
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 0
[[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]] => 0
[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]] => 0
[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]] => 0
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]] => 1
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]] => 1
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]] => 0
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]] => 0
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]] => 0
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]] => 1
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]] => 0
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]] => 0
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]] => 0
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]] => 0
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]] => 0
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => 0
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]] => 0
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => 0
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => 0
[[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]] => 0
[[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]] => 0
[[1,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]] => 0
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 3
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 2
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 3
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 2
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 1
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 2
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 2
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 1
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 1
[[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 1
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 1
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 0
[[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 0
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 0
[[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 0
[[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 0
[[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 0
[[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 0
[[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 0
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 0
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 0
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 0
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 0
[[2,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 0
[[2,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 1
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 1
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 1
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 1
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 1
[[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 1
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 1
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 1
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 1
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 0
[[1,1,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 0
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 0
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 0
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 0
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 0
[[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 0
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => 0
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => 0
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => 0
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 3
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 4
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 2
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 3
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 4
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 3
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 4
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 2
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 2
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 3
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 2
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 3
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 2
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 3
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3
[[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 2
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 3
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 4
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 0
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 0
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 1
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 1
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 1
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 2
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 1
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 2
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 1
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 2
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 3
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3
[[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 1
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 1
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 1
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 2
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 1
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 1
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 2
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 1
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 2
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 1
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 1
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 2
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 2
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3
[[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 0
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 0
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 0
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 0
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 0
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 1
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2
[[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 0
[[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 0
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 0
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[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]] => 1
[[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 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]] => 6
[[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]] => 4
[[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]] => 5
[[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]] => 4
[[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]] => 5
[[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]] => 3
[[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]] => 4
[[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]] => 4
[[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]] => 5
[[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]] => 1
[[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]] => 4
[[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]] => 2
[[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]] => 3
[[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]] => 2
[[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]] => 4
[[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]] => 3
[[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]] => 4
[[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]] => 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]] => 3
[[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]] => 1
[[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]] => 2
[[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]] => 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]] => 3
[[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]] => 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]] => 2
[[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]] => 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]] => 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]] => 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]] => 7
[[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]] => 5
[[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]] => 6
[[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]] => 5
[[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]] => 6
[[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]] => 4
[[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]] => 5
[[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]] => 5
[[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]] => 6
[[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]] => 2
[[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]] => 5
[[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]] => 3
[[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]] => 4
[[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]] => 3
[[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]] => 4
[[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]] => 4
[[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]] => 5
[[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]] => 5
[[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]] => 4
[[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]] => 5
[[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]] => 5
[[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]] => 6
[[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]] => 6
[[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]] => 5
[[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]] => 6
[[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]] => 6
[[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]] => 6
[[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]] => 2
[[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]] => 5
[[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]] => 4
[[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]] => 5
[[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]] => 1
[[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]] => 4
[[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]] => 2
[[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]] => 3
[[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]] => 3
[[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]] => 5
[[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]] => 2
[[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]] => 4
[[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]] => 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]] => 4
[[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]] => 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]] => 3
[[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]] => 1
[[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]] => 2
[[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]] => 4
[[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]] => 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]] => 3
[[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]] => 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]] => 2
[[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]] => 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]] => 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]] => 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]] => 8
[[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]] => 7
[[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]] => 7
[[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]] => 6
[[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]] => 7
[[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]] => 6
[[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]] => 5
[[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]] => 7
[[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]] => 6
[[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]] => 6
[[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]] => 5
[[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]] => 4
[[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]] => 6
[[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]] => 6
[[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]] => 5
[[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]] => 5
[[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]] => 4
[[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]] => 3
[[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]] => 6
[[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]] => 5
[[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]] => 4
[[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]] => 5
[[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]] => 4
[[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]] => 3
[[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]] => 2
[[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]] => 4
[[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]] => 3
[[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]] => 2
[[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]] => 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]] => 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]] => 6
[[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]] => 6
[[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]] => 5
[[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]] => 6
[[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]] => 3
[[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]] => 4
[[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]] => 6
[[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]] => 3
[[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]] => 5
[[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]] => 2
[[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]] => 3
[[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]] => 4
[[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]] => 3
[[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]] => 2
[[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]] => 1
[[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]] => 1
[[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]] => 2
[[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]] => 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]] => 2
[[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]] => 4
[[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]] => 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]] => 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]] => 1
[[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]] => 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]] => 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]] => 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]] => 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]] => 4
[[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]] => 5
[[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]] => 5
[[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]] => 6
[[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]] => 6
[[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]] => 5
[[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]] => 6
[[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]] => 6
[[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]] => 7
[[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]] => 7
[[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]] => 6
[[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]] => 7
[[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]] => 7
[[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]] => 7
[[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]] => 5
[[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]] => 6
[[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]] => 6
[[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]] => 7
[[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]] => 7
[[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]] => 6
[[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]] => 7
[[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]] => 7
[[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]] => 8
[[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]] => 8
[[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]] => 7
[[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]] => 8
[[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]] => 8
[[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]] => 8
[[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]] => 6
[[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]] => 7
[[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]] => 7
[[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]] => 8
[[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]] => 8
[[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]] => 7
[[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]] => 8
[[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]] => 8
[[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]] => 8
[[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]] => 7
[[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]] => 8
[[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]] => 8
[[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]] => 8
[[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]] => 8
[[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]] => 9
[[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]] => 8
[[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]] => 8
[[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]] => 7
[[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]] => 8
[[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]] => 7
[[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]] => 6
[[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]] => 8
[[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]] => 7
[[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]] => 7
[[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]] => 6
[[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]] => 5
[[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]] => 7
[[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]] => 7
[[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]] => 6
[[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]] => 6
[[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]] => 5
[[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]] => 4
[[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]] => 7
[[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]] => 6
[[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]] => 7
[[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]] => 6
[[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]] => 5
[[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]] => 6
[[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]] => 5
[[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]] => 4
[[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]] => 3
[[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]] => 6
[[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]] => 6
[[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]] => 5
[[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]] => 4
[[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]] => 5
[[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]] => 4
[[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]] => 3
[[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]] => 2
[[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]] => 5
[[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]] => 4
[[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]] => 3
[[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]] => 2
[[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]] => 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],[1]] => 0
[[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]] => 7
[[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]] => 7
[[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]] => 6
[[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]] => 7
[[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]] => 4
[[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]] => 5
[[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]] => 7
[[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]] => 4
[[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]] => 6
[[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]] => 3
[[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]] => 4
[[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]] => 4
[[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]] => 4
[[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]] => 3
[[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]] => 2
[[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]] => 2
[[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]] => 3
[[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]] => 5
[[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]] => 4
[[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]] => 6
[[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]] => 0
[[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]] => 2
[[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]] => 5
[[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]] => 1
[[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]] => 1
[[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]] => 2
[[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]] => 3
[[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]] => 4
[[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]] => 0
[[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]] => 2
[[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]] => 0
[[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]] => 0
[[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]] => 0
[[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]] => 1
[[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]] => 0
[[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]] => 0
[[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]] => 0
[[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]] => 0
[[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]] => 5
[[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]] => 6
[[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]] => 6
[[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]] => 7
[[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]] => 7
[[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]] => 6
[[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]] => 7
[[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]] => 7
[[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]] => 8
[[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]] => 8
[[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]] => 7
[[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]] => 8
[[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]] => 8
[[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]] => 8
[[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]] => 6
[[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]] => 7
[[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]] => 7
[[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]] => 8
[[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]] => 8
[[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]] => 7
[[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]] => 8
[[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]] => 8
[[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]] => 9
[[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]] => 9
[[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]] => 8
[[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]] => 9
[[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]] => 9
[[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]] => 9
[[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]] => 7
[[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]] => 8
[[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]] => 8
[[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]] => 9
[[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]] => 9
[[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]] => 8
[[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]] => 9
[[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]] => 9
[[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]] => 9
[[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]] => 8
[[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]] => 9
[[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]] => 9
[[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]] => 9
[[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]] => 9
[[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]] => 6
[[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]] => 7
[[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]] => 7
[[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]] => 8
[[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]] => 8
[[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]] => 7
[[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]] => 8
[[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]] => 8
[[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]] => 9
[[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]] => 9
[[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]] => 8
[[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]] => 9
[[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]] => 9
[[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]] => 9
[[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]] => 7
[[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]] => 8
[[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]] => 8
[[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]] => 9
[[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]] => 9
[[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]] => 8
[[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]] => 9
[[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]] => 9
[[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]] => 10
[[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]] => 10
[[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]] => 9
[[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]] => 10
[[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]] => 10
[[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]] => 10
[[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]] => 8
[[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]] => 9
[[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]] => 9
[[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]] => 10
[[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]] => 10
[[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]] => 9
[[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]] => 10
[[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]] => 10
[[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]] => 10
[[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]] => 9
[[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]] => 10
[[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]] => 10
[[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]] => 10
[[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]] => 10
[[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]] => 7
[[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]] => 8
[[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]] => 8
[[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]] => 9
[[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]] => 9
[[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]] => 8
[[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]] => 9
[[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]] => 9
[[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]] => 10
[[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]] => 10
[[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]] => 9
[[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]] => 10
[[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]] => 10
[[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]] => 10
[[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]] => 8
[[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]] => 9
[[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]] => 9
[[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]] => 10
[[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]] => 10
[[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]] => 9
[[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]] => 10
[[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]] => 10
[[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]] => 10
[[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]] => 9
[[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]] => 10
[[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]] => 10
[[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]] => 10
[[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]] => 10
[[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]] => 8
[[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]] => 9
[[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]] => 9
[[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]] => 10
[[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]] => 10
[[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]] => 9
[[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]] => 10
[[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]] => 10
[[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]] => 10
[[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]] => 9
[[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]] => 10
[[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]] => 10
[[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]] => 10
[[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]] => 10
[[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]] => 9
[[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]] => 10
[[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]] => 10
[[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]] => 10
[[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]] => 10
[[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]] => 10
[] => 0
[[0]] => 0
[[0,0],[0]] => 0
[[0,0,0],[0,0],[0]] => 0
[[3,3,2],[3,2],[2]] => 0
[[3,3,2],[3,2],[3]] => 0
[[3,3,2],[3,3],[3]] => 0
[[3,3,3],[3,3],[3]] => 0
[[0,0,0,0],[0,0,0],[0,0],[0]] => 0
[[2,2,2,0],[2,2,2],[2,2],[2]] => 0
[[2,2,2,1],[2,2,1],[2,1],[1]] => 0
[[2,2,2,1],[2,2,1],[2,1],[2]] => 0
[[2,2,2,1],[2,2,1],[2,2],[2]] => 0
[[2,2,2,1],[2,2,2],[2,2],[2]] => 0
[[2,2,2,2],[2,2,2],[2,2],[2]] => 0
[[3,2,1,0],[3,2,1],[2,1],[1]] => 0
[[3,2,1,0],[3,2,1],[2,1],[2]] => 0
[[3,2,1,0],[3,2,1],[2,2],[2]] => 0
[[3,2,1,0],[3,2,1],[3,1],[1]] => 0
[[3,2,1,0],[3,2,1],[3,1],[2]] => 1
[[3,2,1,0],[3,2,1],[3,1],[3]] => 0
[[3,2,1,0],[3,2,1],[3,2],[2]] => 0
[[3,2,1,0],[3,2,1],[3,2],[3]] => 0
[[3,2,1,1],[2,1,1],[1,1],[1]] => 0
[[3,2,1,1],[2,1,1],[2,1],[1]] => 0
[[3,2,1,1],[2,1,1],[2,1],[2]] => 0
[[3,2,1,1],[2,2,1],[2,1],[1]] => 0
[[3,2,1,1],[2,2,1],[2,1],[2]] => 0
[[3,2,1,1],[2,2,1],[2,2],[2]] => 0
[[3,2,1,1],[3,1,1],[1,1],[1]] => 0
[[3,2,1,1],[3,1,1],[2,1],[1]] => 1
[[3,2,1,1],[3,1,1],[2,1],[2]] => 1
[[3,2,1,1],[3,1,1],[3,1],[1]] => 0
[[3,2,1,1],[3,1,1],[3,1],[2]] => 1
[[3,2,1,1],[3,1,1],[3,1],[3]] => 0
[[3,2,1,1],[3,2,1],[2,1],[1]] => 0
[[3,2,1,1],[3,2,1],[2,1],[2]] => 0
[[3,2,1,1],[3,2,1],[2,2],[2]] => 0
[[3,2,1,1],[3,2,1],[3,1],[1]] => 0
[[3,2,1,1],[3,2,1],[3,1],[2]] => 1
[[3,2,1,1],[3,2,1],[3,1],[3]] => 0
[[3,2,1,1],[3,2,1],[3,2],[2]] => 0
[[3,2,1,1],[3,2,1],[3,2],[3]] => 0
[[3,2,2,0],[2,2,0],[2,0],[0]] => 0
[[3,2,2,0],[2,2,0],[2,0],[1]] => 1
[[3,2,2,0],[2,2,0],[2,0],[2]] => 0
[[3,2,2,0],[2,2,0],[2,1],[1]] => 1
[[3,2,2,0],[2,2,0],[2,1],[2]] => 1
[[3,2,2,0],[2,2,0],[2,2],[2]] => 0
[[3,2,2,0],[2,2,1],[2,1],[1]] => 1
[[3,2,2,0],[2,2,1],[2,1],[2]] => 1
[[3,2,2,0],[2,2,1],[2,2],[2]] => 1
[[3,2,2,0],[2,2,2],[2,2],[2]] => 0
[[3,2,2,0],[3,2,0],[2,0],[0]] => 0
[[3,2,2,0],[3,2,0],[2,0],[1]] => 1
[[3,2,2,0],[3,2,0],[2,0],[2]] => 0
[[3,2,2,0],[3,2,0],[2,1],[1]] => 1
[[3,2,2,0],[3,2,0],[2,1],[2]] => 1
[[3,2,2,0],[3,2,0],[2,2],[2]] => 0
[[3,2,2,0],[3,2,0],[3,0],[0]] => 0
[[3,2,2,0],[3,2,0],[3,0],[1]] => 1
[[3,2,2,0],[3,2,0],[3,0],[2]] => 1
[[3,2,2,0],[3,2,0],[3,0],[3]] => 0
[[3,2,2,0],[3,2,0],[3,1],[1]] => 1
[[3,2,2,0],[3,2,0],[3,1],[2]] => 2
[[3,2,2,0],[3,2,0],[3,1],[3]] => 1
[[3,2,2,0],[3,2,0],[3,2],[2]] => 0
[[3,2,2,0],[3,2,0],[3,2],[3]] => 0
[[3,2,2,0],[3,2,1],[2,1],[1]] => 1
[[3,2,2,0],[3,2,1],[2,1],[2]] => 1
[[3,2,2,0],[3,2,1],[2,2],[2]] => 1
[[3,2,2,0],[3,2,1],[3,1],[1]] => 1
[[3,2,2,0],[3,2,1],[3,1],[2]] => 2
[[3,2,2,0],[3,2,1],[3,1],[3]] => 1
[[3,2,2,0],[3,2,1],[3,2],[2]] => 1
[[3,2,2,0],[3,2,1],[3,2],[3]] => 1
[[3,2,2,0],[3,2,2],[2,2],[2]] => 0
[[3,2,2,0],[3,2,2],[3,2],[2]] => 0
[[3,2,2,0],[3,2,2],[3,2],[3]] => 0
[[3,2,2,1],[2,2,1],[2,1],[1]] => 0
[[3,2,2,1],[2,2,1],[2,1],[2]] => 0
[[3,2,2,1],[2,2,1],[2,2],[2]] => 0
[[3,2,2,1],[2,2,2],[2,2],[2]] => 0
[[3,2,2,1],[3,2,1],[2,1],[1]] => 0
[[3,2,2,1],[3,2,1],[2,1],[2]] => 0
[[3,2,2,1],[3,2,1],[2,2],[2]] => 0
[[3,2,2,1],[3,2,1],[3,1],[1]] => 0
[[3,2,2,1],[3,2,1],[3,1],[2]] => 1
[[3,2,2,1],[3,2,1],[3,1],[3]] => 0
[[3,2,2,1],[3,2,1],[3,2],[2]] => 0
[[3,2,2,1],[3,2,1],[3,2],[3]] => 0
[[3,2,2,1],[3,2,2],[2,2],[2]] => 0
[[3,2,2,1],[3,2,2],[3,2],[2]] => 0
[[3,2,2,1],[3,2,2],[3,2],[3]] => 0
[[3,2,2,2],[2,2,2],[2,2],[2]] => 0
[[3,2,2,2],[3,2,2],[2,2],[2]] => 0
[[3,2,2,2],[3,2,2],[3,2],[2]] => 0
[[3,2,2,2],[3,2,2],[3,2],[3]] => 0
[[3,3,0,0],[3,3,0],[3,0],[0]] => 0
[[3,3,0,0],[3,3,0],[3,0],[1]] => 1
[[3,3,0,0],[3,3,0],[3,0],[2]] => 1
[[3,3,0,0],[3,3,0],[3,0],[3]] => 0
[[3,3,0,0],[3,3,0],[3,1],[1]] => 1
[[3,3,0,0],[3,3,0],[3,1],[2]] => 2
[[3,3,0,0],[3,3,0],[3,1],[3]] => 1
[[3,3,0,0],[3,3,0],[3,2],[2]] => 1
[[3,3,0,0],[3,3,0],[3,2],[3]] => 1
[[3,3,0,0],[3,3,0],[3,3],[3]] => 0
[[3,3,1,0],[3,1,0],[1,0],[0]] => 0
[[3,3,1,0],[3,1,0],[1,0],[1]] => 0
[[3,3,1,0],[3,1,0],[1,1],[1]] => 0
[[3,3,1,0],[3,1,0],[2,0],[0]] => 1
[[3,3,1,0],[3,1,0],[2,0],[1]] => 2
[[3,3,1,0],[3,1,0],[2,0],[2]] => 1
[[3,3,1,0],[3,1,0],[2,1],[1]] => 1
[[3,3,1,0],[3,1,0],[2,1],[2]] => 1
[[3,3,1,0],[3,1,0],[3,0],[0]] => 0
[[3,3,1,0],[3,1,0],[3,0],[1]] => 1
[[3,3,1,0],[3,1,0],[3,0],[2]] => 1
[[3,3,1,0],[3,1,0],[3,0],[3]] => 0
[[3,3,1,0],[3,1,0],[3,1],[1]] => 0
[[3,3,1,0],[3,1,0],[3,1],[2]] => 1
[[3,3,1,0],[3,1,0],[3,1],[3]] => 0
[[3,3,1,0],[3,1,1],[1,1],[1]] => 0
[[3,3,1,0],[3,1,1],[2,1],[1]] => 1
[[3,3,1,0],[3,1,1],[2,1],[2]] => 1
[[3,3,1,0],[3,1,1],[3,1],[1]] => 0
[[3,3,1,0],[3,1,1],[3,1],[2]] => 1
[[3,3,1,0],[3,1,1],[3,1],[3]] => 0
[[3,3,1,0],[3,2,0],[2,0],[0]] => 1
[[3,3,1,0],[3,2,0],[2,0],[1]] => 2
[[3,3,1,0],[3,2,0],[2,0],[2]] => 1
[[3,3,1,0],[3,2,0],[2,1],[1]] => 2
[[3,3,1,0],[3,2,0],[2,1],[2]] => 2
[[3,3,1,0],[3,2,0],[2,2],[2]] => 1
[[3,3,1,0],[3,2,0],[3,0],[0]] => 1
[[3,3,1,0],[3,2,0],[3,0],[1]] => 2
[[3,3,1,0],[3,2,0],[3,0],[2]] => 2
[[3,3,1,0],[3,2,0],[3,0],[3]] => 1
[[3,3,1,0],[3,2,0],[3,1],[1]] => 2
[[3,3,1,0],[3,2,0],[3,1],[2]] => 3
[[3,3,1,0],[3,2,0],[3,1],[3]] => 2
[[3,3,1,0],[3,2,0],[3,2],[2]] => 1
[[3,3,1,0],[3,2,0],[3,2],[3]] => 1
[[3,3,1,0],[3,2,1],[2,1],[1]] => 1
[[3,3,1,0],[3,2,1],[2,1],[2]] => 1
[[3,3,1,0],[3,2,1],[2,2],[2]] => 1
[[3,3,1,0],[3,2,1],[3,1],[1]] => 1
[[3,3,1,0],[3,2,1],[3,1],[2]] => 2
[[3,3,1,0],[3,2,1],[3,1],[3]] => 1
[[3,3,1,0],[3,2,1],[3,2],[2]] => 1
[[3,3,1,0],[3,2,1],[3,2],[3]] => 1
[[3,3,1,0],[3,3,0],[3,0],[0]] => 0
[[3,3,1,0],[3,3,0],[3,0],[1]] => 1
[[3,3,1,0],[3,3,0],[3,0],[2]] => 1
[[3,3,1,0],[3,3,0],[3,0],[3]] => 0
[[3,3,1,0],[3,3,0],[3,1],[1]] => 1
[[3,3,1,0],[3,3,0],[3,1],[2]] => 2
[[3,3,1,0],[3,3,0],[3,1],[3]] => 1
[[3,3,1,0],[3,3,0],[3,2],[2]] => 1
[[3,3,1,0],[3,3,0],[3,2],[3]] => 1
[[3,3,1,0],[3,3,0],[3,3],[3]] => 0
[[3,3,1,0],[3,3,1],[3,1],[1]] => 0
[[3,3,1,0],[3,3,1],[3,1],[2]] => 1
[[3,3,1,0],[3,3,1],[3,1],[3]] => 0
[[3,3,1,0],[3,3,1],[3,2],[2]] => 1
[[3,3,1,0],[3,3,1],[3,2],[3]] => 1
[[3,3,1,0],[3,3,1],[3,3],[3]] => 0
[[3,3,1,1],[3,1,1],[1,1],[1]] => 0
[[3,3,1,1],[3,1,1],[2,1],[1]] => 1
[[3,3,1,1],[3,1,1],[2,1],[2]] => 1
[[3,3,1,1],[3,1,1],[3,1],[1]] => 0
[[3,3,1,1],[3,1,1],[3,1],[2]] => 1
[[3,3,1,1],[3,1,1],[3,1],[3]] => 0
[[3,3,1,1],[3,2,1],[2,1],[1]] => 1
[[3,3,1,1],[3,2,1],[2,1],[2]] => 1
[[3,3,1,1],[3,2,1],[2,2],[2]] => 1
[[3,3,1,1],[3,2,1],[3,1],[1]] => 1
[[3,3,1,1],[3,2,1],[3,1],[2]] => 2
[[3,3,1,1],[3,2,1],[3,1],[3]] => 1
[[3,3,1,1],[3,2,1],[3,2],[2]] => 1
[[3,3,1,1],[3,2,1],[3,2],[3]] => 1
[[3,3,1,1],[3,3,1],[3,1],[1]] => 0
[[3,3,1,1],[3,3,1],[3,1],[2]] => 1
[[3,3,1,1],[3,3,1],[3,1],[3]] => 0
[[3,3,1,1],[3,3,1],[3,2],[2]] => 1
[[3,3,1,1],[3,3,1],[3,2],[3]] => 1
[[3,3,1,1],[3,3,1],[3,3],[3]] => 0
[[3,3,2,0],[3,2,0],[2,0],[0]] => 0
[[3,3,2,0],[3,2,0],[2,0],[1]] => 1
[[3,3,2,0],[3,2,0],[2,0],[2]] => 0
[[3,3,2,0],[3,2,0],[2,1],[1]] => 1
[[3,3,2,0],[3,2,0],[2,1],[2]] => 1
[[3,3,2,0],[3,2,0],[2,2],[2]] => 0
[[3,3,2,0],[3,2,0],[3,0],[0]] => 0
[[3,3,2,0],[3,2,0],[3,0],[1]] => 1
[[3,3,2,0],[3,2,0],[3,0],[2]] => 1
[[3,3,2,0],[3,2,0],[3,0],[3]] => 0
[[3,3,2,0],[3,2,0],[3,1],[1]] => 1
[[3,3,2,0],[3,2,0],[3,1],[2]] => 2
[[3,3,2,0],[3,2,0],[3,1],[3]] => 1
[[3,3,2,0],[3,2,0],[3,2],[2]] => 0
[[3,3,2,0],[3,2,0],[3,2],[3]] => 0
[[3,3,2,0],[3,2,1],[2,1],[1]] => 1
[[3,3,2,0],[3,2,1],[2,1],[2]] => 1
[[3,3,2,0],[3,2,1],[2,2],[2]] => 1
[[3,3,2,0],[3,2,1],[3,1],[1]] => 1
[[3,3,2,0],[3,2,1],[3,1],[2]] => 2
[[3,3,2,0],[3,2,1],[3,1],[3]] => 1
[[3,3,2,0],[3,2,1],[3,2],[2]] => 1
[[3,3,2,0],[3,2,1],[3,2],[3]] => 1
[[3,3,2,0],[3,2,2],[2,2],[2]] => 0
[[3,3,2,0],[3,2,2],[3,2],[2]] => 0
[[3,3,2,0],[3,2,2],[3,2],[3]] => 0
[[3,3,2,0],[3,3,0],[3,0],[0]] => 0
[[3,3,2,0],[3,3,0],[3,0],[1]] => 1
[[3,3,2,0],[3,3,0],[3,0],[2]] => 1
[[3,3,2,0],[3,3,0],[3,0],[3]] => 0
[[3,3,2,0],[3,3,0],[3,1],[1]] => 1
[[3,3,2,0],[3,3,0],[3,1],[2]] => 2
[[3,3,2,0],[3,3,0],[3,1],[3]] => 1
[[3,3,2,0],[3,3,0],[3,2],[2]] => 1
[[3,3,2,0],[3,3,0],[3,2],[3]] => 1
[[3,3,2,0],[3,3,0],[3,3],[3]] => 0
[[3,3,2,0],[3,3,1],[3,1],[1]] => 1
[[3,3,2,0],[3,3,1],[3,1],[2]] => 2
[[3,3,2,0],[3,3,1],[3,1],[3]] => 1
[[3,3,2,0],[3,3,1],[3,2],[2]] => 2
[[3,3,2,0],[3,3,1],[3,2],[3]] => 2
[[3,3,2,0],[3,3,1],[3,3],[3]] => 1
[[3,3,2,0],[3,3,2],[3,2],[2]] => 0
[[3,3,2,0],[3,3,2],[3,2],[3]] => 0
[[3,3,2,0],[3,3,2],[3,3],[3]] => 0
[[3,3,2,1],[3,2,1],[2,1],[1]] => 0
[[3,3,2,1],[3,2,1],[2,1],[2]] => 0
[[3,3,2,1],[3,2,1],[2,2],[2]] => 0
[[3,3,2,1],[3,2,1],[3,1],[1]] => 0
[[3,3,2,1],[3,2,1],[3,1],[2]] => 1
[[3,3,2,1],[3,2,1],[3,1],[3]] => 0
[[3,3,2,1],[3,2,1],[3,2],[2]] => 0
[[3,3,2,1],[3,2,1],[3,2],[3]] => 0
[[3,3,2,1],[3,2,2],[2,2],[2]] => 0
[[3,3,2,1],[3,2,2],[3,2],[2]] => 0
[[3,3,2,1],[3,2,2],[3,2],[3]] => 0
[[3,3,2,1],[3,3,1],[3,1],[1]] => 0
[[3,3,2,1],[3,3,1],[3,1],[2]] => 1
[[3,3,2,1],[3,3,1],[3,1],[3]] => 0
[[3,3,2,1],[3,3,1],[3,2],[2]] => 1
[[3,3,2,1],[3,3,1],[3,2],[3]] => 1
[[3,3,2,1],[3,3,1],[3,3],[3]] => 0
[[3,3,2,1],[3,3,2],[3,2],[2]] => 0
[[3,3,2,1],[3,3,2],[3,2],[3]] => 0
[[3,3,2,1],[3,3,2],[3,3],[3]] => 0
[[3,3,2,2],[3,2,2],[2,2],[2]] => 0
[[3,3,2,2],[3,2,2],[3,2],[2]] => 0
[[3,3,2,2],[3,2,2],[3,2],[3]] => 0
[[3,3,2,2],[3,3,2],[3,2],[2]] => 0
[[3,3,2,2],[3,3,2],[3,2],[3]] => 0
[[3,3,2,2],[3,3,2],[3,3],[3]] => 0
[[3,3,3,0],[3,3,0],[3,0],[0]] => 0
[[3,3,3,0],[3,3,0],[3,0],[1]] => 1
[[3,3,3,0],[3,3,0],[3,0],[2]] => 1
[[3,3,3,0],[3,3,0],[3,0],[3]] => 0
[[3,3,3,0],[3,3,0],[3,1],[1]] => 1
[[3,3,3,0],[3,3,0],[3,1],[2]] => 2
[[3,3,3,0],[3,3,0],[3,1],[3]] => 1
[[3,3,3,0],[3,3,0],[3,2],[2]] => 1
[[3,3,3,0],[3,3,0],[3,2],[3]] => 1
[[3,3,3,0],[3,3,0],[3,3],[3]] => 0
[[3,3,3,0],[3,3,1],[3,1],[1]] => 1
[[3,3,3,0],[3,3,1],[3,1],[2]] => 2
[[3,3,3,0],[3,3,1],[3,1],[3]] => 1
[[3,3,3,0],[3,3,1],[3,2],[2]] => 2
[[3,3,3,0],[3,3,1],[3,2],[3]] => 2
[[3,3,3,0],[3,3,1],[3,3],[3]] => 1
[[3,3,3,0],[3,3,2],[3,2],[2]] => 1
[[3,3,3,0],[3,3,2],[3,2],[3]] => 1
[[3,3,3,0],[3,3,2],[3,3],[3]] => 1
[[3,3,3,0],[3,3,3],[3,3],[3]] => 0
[[3,3,3,1],[3,3,1],[3,1],[1]] => 0
[[3,3,3,1],[3,3,1],[3,1],[2]] => 1
[[3,3,3,1],[3,3,1],[3,1],[3]] => 0
[[3,3,3,1],[3,3,1],[3,2],[2]] => 1
[[3,3,3,1],[3,3,1],[3,2],[3]] => 1
[[3,3,3,1],[3,3,1],[3,3],[3]] => 0
[[3,3,3,1],[3,3,2],[3,2],[2]] => 1
[[3,3,3,1],[3,3,2],[3,2],[3]] => 1
[[3,3,3,1],[3,3,2],[3,3],[3]] => 1
[[3,3,3,1],[3,3,3],[3,3],[3]] => 0
[[3,3,3,2],[3,3,2],[3,2],[2]] => 0
[[3,3,3,2],[3,3,2],[3,2],[3]] => 0
[[3,3,3,2],[3,3,2],[3,3],[3]] => 0
[[3,3,3,2],[3,3,3],[3,3],[3]] => 0
[[3,3,3,3],[3,3,3],[3,3],[3]] => 0
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searching the database for the individual values of this statistic
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searching the database for statistics with the same generating function
Generating function
$F_{(2, 1)} = 2$
$F_{(2, 2)} = 3 + q$
$F_{(3, 1)} = 3$
$F_{(2, 3)} = 4 + 2\ q$
$F_{(3, 2)} = 6 + 3\ q$
$F_{(4, 1)} = 4$
$F_{(2, 4)} = 5 + 4\ q$
$F_{(3, 3)} = 11 + 7\ q + q^{2}$
$F_{(4, 2)} = 10 + 6\ q$
$F_{(5, 1)} = 5$
$F_{(2, 5)} = 6 + 6\ q$
$F_{(3, 4)} = 16 + 19\ q + 4\ q^{2}$
$F_{(4, 3)} = 24 + 16\ q + 4\ q^{2}$
$F_{(5, 2)} = 15 + 10\ q$
$F_{(6, 1)} = 6$
$F_{(2, 6)} = 7 + 9\ q$
Description
The number of special entries.
An entry $a_{i,j}$ of a Gelfand-Tsetlin pattern is special if $a_{i-1,j-i} > a_{i,j} > a_{i-1,j}$. That is, it is neither boxed nor circled.
An entry $a_{i,j}$ of a Gelfand-Tsetlin pattern is special if $a_{i-1,j-i} > a_{i,j} > a_{i-1,j}$. That is, it is neither boxed nor circled.
Code
def statistic(g):
return g.number_of_special_entries()
Created
Jun 11, 2013 at 14:48 by Travis Scrimshaw
Updated
Jun 01, 2019 at 09:02 by Martin Rubey
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