Identifier
Values
[[1,2]] => [2] => [1,1,0,0,1,0] => 1
[[2,2]] => [2] => [1,1,0,0,1,0] => 1
[[1],[2]] => [1,1] => [1,0,1,1,0,0] => 2
[[1,3]] => [2] => [1,1,0,0,1,0] => 1
[[2,3]] => [2] => [1,1,0,0,1,0] => 1
[[3,3]] => [2] => [1,1,0,0,1,0] => 1
[[1],[3]] => [1,1] => [1,0,1,1,0,0] => 2
[[2],[3]] => [1,1] => [1,0,1,1,0,0] => 2
[[1,1,2]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,2,2]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,2,2]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,4]] => [2] => [1,1,0,0,1,0] => 1
[[2,4]] => [2] => [1,1,0,0,1,0] => 1
[[3,4]] => [2] => [1,1,0,0,1,0] => 1
[[4,4]] => [2] => [1,1,0,0,1,0] => 1
[[1],[4]] => [1,1] => [1,0,1,1,0,0] => 2
[[2],[4]] => [1,1] => [1,0,1,1,0,0] => 2
[[3],[4]] => [1,1] => [1,0,1,1,0,0] => 2
[[1,1,3]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,2,3]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,3,3]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,2,3]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,3,3]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[3,3,3]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1],[2],[3]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[1,1,1,2]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1,2,2]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,2,2,2]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,2,2,2]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,5]] => [2] => [1,1,0,0,1,0] => 1
[[2,5]] => [2] => [1,1,0,0,1,0] => 1
[[3,5]] => [2] => [1,1,0,0,1,0] => 1
[[4,5]] => [2] => [1,1,0,0,1,0] => 1
[[5,5]] => [2] => [1,1,0,0,1,0] => 1
[[1],[5]] => [1,1] => [1,0,1,1,0,0] => 2
[[2],[5]] => [1,1] => [1,0,1,1,0,0] => 2
[[3],[5]] => [1,1] => [1,0,1,1,0,0] => 2
[[4],[5]] => [1,1] => [1,0,1,1,0,0] => 2
[[1,1,4]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,2,4]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,3,4]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,4,4]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,2,4]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,3,4]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,4,4]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[3,3,4]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[3,4,4]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[4,4,4]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1],[2],[4]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[1],[3],[4]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[2],[3],[4]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[1,1,1,3]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1,2,3]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1,3,3]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,2,2,3]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,2,3,3]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,3,3,3]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,2,2,3]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,2,3,3]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,3,3,3]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,3,3,3]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1],[2,3]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,1],[3,3]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,2],[2,3]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,2],[3,3]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,2],[3,3]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,1,1,1,2]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,1,2,2]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,2,2,2]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,2,2,2]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,2,2,2]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,6]] => [2] => [1,1,0,0,1,0] => 1
[[2,6]] => [2] => [1,1,0,0,1,0] => 1
[[3,6]] => [2] => [1,1,0,0,1,0] => 1
[[4,6]] => [2] => [1,1,0,0,1,0] => 1
[[5,6]] => [2] => [1,1,0,0,1,0] => 1
[[6,6]] => [2] => [1,1,0,0,1,0] => 1
[[1],[6]] => [1,1] => [1,0,1,1,0,0] => 2
[[2],[6]] => [1,1] => [1,0,1,1,0,0] => 2
[[3],[6]] => [1,1] => [1,0,1,1,0,0] => 2
[[4],[6]] => [1,1] => [1,0,1,1,0,0] => 2
[[5],[6]] => [1,1] => [1,0,1,1,0,0] => 2
[[1,1,5]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,2,5]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,3,5]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,4,5]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,5,5]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,2,5]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,3,5]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,4,5]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,5,5]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[3,3,5]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[3,4,5]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[3,5,5]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[4,4,5]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[4,5,5]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[5,5,5]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1],[2],[5]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[1],[3],[5]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[1],[4],[5]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
>>> Load all 959 entries. <<<
[[2],[3],[5]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[2],[4],[5]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[3],[4],[5]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[1,1,1,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1,2,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1,3,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1,4,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,2,2,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,2,3,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,2,4,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,3,3,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,3,4,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,4,4,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,2,2,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,2,3,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,2,4,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,3,3,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,3,4,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,4,4,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,3,3,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,3,4,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,4,4,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[4,4,4,4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1],[2,4]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,1],[3,4]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,1],[4,4]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,2],[2,4]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,2],[3,4]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,3],[2,4]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,2],[4,4]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,3],[3,4]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,3],[4,4]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,2],[3,4]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,2],[4,4]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,3],[3,4]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,3],[4,4]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[3,3],[4,4]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1],[2],[3],[4]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[[1,1,1,1,3]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,1,2,3]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,1,3,3]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,2,2,3]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,2,3,3]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,3,3,3]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,2,2,3]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,2,3,3]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,3,3,3]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,3,3,3,3]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,2,2,3]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,2,3,3]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,3,3,3]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,3,3,3,3]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[3,3,3,3,3]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,1],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,2],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,3],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,2],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,3],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,3],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,1,1,1,2]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,1,2,2]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,2,2,2]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,2,2,2,2]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,2,2,2,2]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,2,2,2,2,2]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1],[2,2,2]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,7]] => [2] => [1,1,0,0,1,0] => 1
[[2,7]] => [2] => [1,1,0,0,1,0] => 1
[[3,7]] => [2] => [1,1,0,0,1,0] => 1
[[4,7]] => [2] => [1,1,0,0,1,0] => 1
[[5,7]] => [2] => [1,1,0,0,1,0] => 1
[[6,7]] => [2] => [1,1,0,0,1,0] => 1
[[7,7]] => [2] => [1,1,0,0,1,0] => 1
[[1],[7]] => [1,1] => [1,0,1,1,0,0] => 2
[[2],[7]] => [1,1] => [1,0,1,1,0,0] => 2
[[3],[7]] => [1,1] => [1,0,1,1,0,0] => 2
[[4],[7]] => [1,1] => [1,0,1,1,0,0] => 2
[[5],[7]] => [1,1] => [1,0,1,1,0,0] => 2
[[6],[7]] => [1,1] => [1,0,1,1,0,0] => 2
[[1,1,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,2,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,3,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,4,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,5,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,6,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,2,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,3,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,4,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,5,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,6,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[3,3,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[3,4,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[3,5,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[3,6,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[4,4,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[4,5,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[4,6,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[5,5,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[5,6,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[6,6,6]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1],[2],[6]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[1],[3],[6]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[1],[4],[6]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[1],[5],[6]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[2],[3],[6]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[2],[4],[6]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[2],[5],[6]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[3],[4],[6]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[3],[5],[6]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[4],[5],[6]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[1,1,1,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1,2,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1,3,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1,4,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1,5,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,2,2,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,2,3,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,2,4,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,2,5,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,3,3,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,3,4,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,3,5,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,4,4,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,4,5,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,5,5,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,2,2,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,2,3,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,2,4,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,2,5,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,3,3,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,3,4,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,3,5,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,4,4,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,4,5,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,5,5,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,3,3,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,3,4,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,3,5,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,4,4,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,4,5,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,5,5,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[4,4,4,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[4,4,5,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[4,5,5,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[5,5,5,5]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1],[2,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,1],[3,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,1],[4,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,1],[5,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,2],[2,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,2],[3,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,3],[2,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,2],[4,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,4],[2,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,2],[5,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,3],[3,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,3],[4,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,4],[3,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,3],[5,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,4],[4,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,4],[5,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,2],[3,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,2],[4,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,2],[5,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,3],[3,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,3],[4,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,4],[3,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,3],[5,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,4],[4,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,4],[5,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[3,3],[4,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[3,3],[5,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[3,4],[4,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[3,4],[5,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[4,4],[5,5]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1],[2],[3],[5]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[[1],[2],[4],[5]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[[1],[3],[4],[5]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[[2],[3],[4],[5]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[[1,1,1,1,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,1,2,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,1,3,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,1,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,2,2,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,2,3,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,2,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,3,3,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,3,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,4,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,2,2,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,2,3,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,2,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,3,3,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,3,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,4,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,3,3,3,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,3,3,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,3,4,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,4,4,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,2,2,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,2,3,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,2,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,3,3,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,3,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,4,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,3,3,3,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,3,3,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,3,4,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,4,4,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[3,3,3,3,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[3,3,3,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[3,3,4,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[3,4,4,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[4,4,4,4,4]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,1],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,1],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,2],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,2],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,3],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,4],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,4],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,3],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,4],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,2],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,2],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,3],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,4],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,4],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,3],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,3],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,4],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,4],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,4],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,4,4],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,4,4],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,3],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,4],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,4,4],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,2,2],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,2,3],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,2,4],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,3,3],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,3,4],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,4,4],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,1,1,1,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,1,2,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,1,3,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,2,2,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,2,3,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,3,3,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,2,2,2,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,2,2,3,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,2,3,3,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,3,3,3,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,2,2,2,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,2,2,3,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,2,3,3,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,3,3,3,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,3,3,3,3,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,2,2,2,2,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,2,2,2,3,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,2,2,3,3,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,2,3,3,3,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,3,3,3,3,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[3,3,3,3,3,3]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,1],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,1,2],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,1,3],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,2,2],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,2,3],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,3,3],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,2,2],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,2,3],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,3,3],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,3,3,3],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,1],[2,2,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,1],[2,3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,1],[3,3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,2],[2,2,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,2],[2,3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,2],[3,3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,2,2],[2,3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,2,2],[3,3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[2,2,2],[3,3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1],[2,2],[3,3]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[[1,8]] => [2] => [1,1,0,0,1,0] => 1
[[2,8]] => [2] => [1,1,0,0,1,0] => 1
[[3,8]] => [2] => [1,1,0,0,1,0] => 1
[[4,8]] => [2] => [1,1,0,0,1,0] => 1
[[5,8]] => [2] => [1,1,0,0,1,0] => 1
[[6,8]] => [2] => [1,1,0,0,1,0] => 1
[[7,8]] => [2] => [1,1,0,0,1,0] => 1
[[8,8]] => [2] => [1,1,0,0,1,0] => 1
[[1],[8]] => [1,1] => [1,0,1,1,0,0] => 2
[[2],[8]] => [1,1] => [1,0,1,1,0,0] => 2
[[3],[8]] => [1,1] => [1,0,1,1,0,0] => 2
[[4],[8]] => [1,1] => [1,0,1,1,0,0] => 2
[[5],[8]] => [1,1] => [1,0,1,1,0,0] => 2
[[6],[8]] => [1,1] => [1,0,1,1,0,0] => 2
[[7],[8]] => [1,1] => [1,0,1,1,0,0] => 2
[[1,1,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,2,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,3,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,4,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,5,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,6,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1,7,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,2,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,3,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,4,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,5,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,6,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[2,7,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[3,3,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[3,4,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[3,5,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[3,6,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[3,7,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[4,4,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[4,5,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[4,6,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[4,7,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[5,5,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[5,6,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[5,7,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[6,6,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[6,7,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[7,7,7]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[1],[2],[7]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[1],[3],[7]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[1],[4],[7]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[1],[5],[7]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[1],[6],[7]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[2],[3],[7]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[2],[4],[7]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[2],[5],[7]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[2],[6],[7]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[3],[4],[7]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[3],[5],[7]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[3],[6],[7]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[4],[5],[7]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[4],[6],[7]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[5],[6],[7]] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[[1,1,1,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1,2,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1,3,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1,4,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1,5,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,2,2,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,2,3,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,2,4,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,2,5,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,2,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,3,3,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,3,4,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,3,5,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,3,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,4,4,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,4,5,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,4,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,5,5,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,5,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,6,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,2,2,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,2,3,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,2,4,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,2,5,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,2,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,3,3,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,3,4,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,3,5,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,3,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,4,4,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,4,5,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,4,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,5,5,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,5,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[2,6,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,3,3,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,3,4,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,3,5,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,3,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,4,4,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,4,5,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,4,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,5,5,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,5,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[3,6,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[4,4,4,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[4,4,5,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[4,4,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[4,5,5,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[4,5,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[4,6,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[5,5,5,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[5,5,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[5,6,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[6,6,6,6]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[1,1],[2,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,1],[3,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,1],[4,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,1],[5,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,1],[6,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,2],[2,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,2],[3,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,3],[2,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,2],[4,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,4],[2,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,2],[5,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,5],[2,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,2],[6,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,3],[3,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,3],[4,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,4],[3,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,3],[5,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,5],[3,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,3],[6,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,4],[4,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,4],[5,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,5],[4,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,4],[6,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,5],[5,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1,5],[6,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,2],[3,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,2],[4,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,2],[5,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,2],[6,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,3],[3,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,3],[4,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,4],[3,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,3],[5,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,5],[3,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,3],[6,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,4],[4,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,4],[5,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,5],[4,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,4],[6,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,5],[5,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[2,5],[6,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[3,3],[4,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[3,3],[5,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[3,3],[6,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[3,4],[4,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[3,4],[5,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[3,5],[4,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[3,4],[6,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[3,5],[5,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[3,5],[6,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[4,4],[5,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[4,4],[6,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[4,5],[5,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[4,5],[6,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[5,5],[6,6]] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[[1],[2],[3],[6]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[[1],[2],[4],[6]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[[1],[2],[5],[6]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[[1],[3],[4],[6]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[[1],[3],[5],[6]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[[1],[4],[5],[6]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[[2],[3],[4],[6]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[[2],[3],[5],[6]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[[2],[4],[5],[6]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[[3],[4],[5],[6]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[[1,1,1,1,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,1,2,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,1,3,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,1,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,1,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,2,2,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,2,3,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,2,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,2,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,3,3,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,3,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,3,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,4,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,4,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,5,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,2,2,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,2,3,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,2,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,2,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,3,3,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,3,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,3,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,4,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,4,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,2,5,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,3,3,3,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,3,3,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,3,3,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,3,4,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,3,4,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,3,5,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,4,4,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,4,4,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,4,5,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,5,5,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,2,2,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,2,3,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,2,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,2,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,3,3,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,3,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,3,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,4,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,4,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,2,5,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,3,3,3,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,3,3,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,3,3,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,3,4,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,3,4,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,3,5,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,4,4,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,4,4,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,4,5,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[2,5,5,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[3,3,3,3,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[3,3,3,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[3,3,3,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[3,3,4,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[3,3,4,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[3,3,5,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[3,4,4,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[3,4,4,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[3,4,5,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[3,5,5,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[4,4,4,4,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[4,4,4,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[4,4,5,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[4,5,5,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[5,5,5,5,5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[1,1,1],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,1],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,1],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,2],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,2],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,3],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,5],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,2],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,4],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,5],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,5],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,3],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,3],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,4],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,5],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,5],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,4],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,1,5],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,2],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,2],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,3],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,5],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,2],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,4],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,5],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,5],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,3],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,3],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,5],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,3],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,4],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,5],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,4],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,5],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,4,5],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,5],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,5],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,5,5],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,4],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,4,4],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,4,5],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,2,5],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,4,5],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,5,5],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,5,5],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,3],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,3],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,4],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,5],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,5],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,4],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,4,4],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,4,5],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,3,5],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,4,5],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,5,5],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,5,5],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,4,4],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,4,5],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1,5,5],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,2,2],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,2,2],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,2,3],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,2,3],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,2,4],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,2,5],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,2,5],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,2,4],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,2,5],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,3,3],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,3,3],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,3,4],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,3,5],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,3,5],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,3,4],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,4,4],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,4,5],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,3,5],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,4,5],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,5,5],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,5,5],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,4,4],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,4,5],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[2,5,5],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[3,3,3],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[3,3,4],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[3,3,5],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[3,4,4],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[3,4,5],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[3,5,5],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[[1],[2],[3],[4],[5]] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[[1,1,1,1,1,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,1,2,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,1,3,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,1,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,2,2,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,2,3,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,2,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,3,3,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,3,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,2,2,2,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,2,2,3,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,2,2,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,2,3,3,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,2,3,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,2,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,3,3,3,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,3,3,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,3,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,4,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,2,2,2,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,2,2,3,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,2,2,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,2,3,3,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,2,3,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,2,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,3,3,3,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,3,3,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,3,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,4,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,3,3,3,3,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,3,3,3,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,3,3,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,3,4,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,4,4,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,2,2,2,2,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,2,2,2,3,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,2,2,2,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,2,2,3,3,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,2,2,3,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,2,2,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,2,3,3,3,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,2,3,3,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,2,3,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,2,4,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,3,3,3,3,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,3,3,3,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,3,3,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,3,4,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[2,4,4,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[3,3,3,3,3,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[3,3,3,3,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[3,3,3,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[3,3,4,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[3,4,4,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[4,4,4,4,4,4]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,1,1,1],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,1,1],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,1,2],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,1,2],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,1,3],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,1,4],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,1,4],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,1,3],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,1,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,2,2],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,2,2],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,2,3],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,2,4],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,2,4],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,2,3],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,3,3],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,3,4],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,2,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,3,4],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,4,4],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,4,4],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,3,3],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,3,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,4,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,2,2],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,2,2],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,2,3],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,2,4],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,2,4],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,2,3],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,3,3],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,3,4],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,2,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,3,4],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,4,4],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,4,4],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,3,3],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,3,3,3],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,3,3,4],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,3,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,3,3,4],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,3,4,4],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,4,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,3,4,4],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,4,4,4],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,4,4,4],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,3,3,3],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,3,3,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,3,4,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,4,4,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[2,2,2,2],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[2,2,2,3],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[2,2,2,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[2,2,3,3],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[2,2,3,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[2,2,4,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[2,3,3,3],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[2,3,3,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[2,3,4,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[2,4,4,4],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,1,1],[2,2,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,1],[2,3,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,1],[2,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,1],[3,3,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,1],[3,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,1],[4,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,2],[2,2,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,2],[2,3,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,3],[2,2,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,2],[2,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,2],[3,3,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,3],[2,3,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,2],[3,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,3],[2,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,2],[4,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,3],[3,3,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,3],[3,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,3],[4,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,2,2],[2,3,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,2,2],[2,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,2,2],[3,3,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,2,3],[2,3,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,2,2],[3,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,2,3],[2,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,2,2],[4,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,2,3],[3,3,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,2,3],[3,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,3,3],[2,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,2,3],[4,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,3,3],[3,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,3,3],[4,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[2,2,2],[3,3,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[2,2,2],[3,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[2,2,2],[4,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[2,2,3],[3,3,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[2,2,3],[3,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[2,2,3],[4,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[2,3,3],[3,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[2,3,3],[4,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[3,3,3],[4,4,4]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,1,1],[2],[3],[4]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,1,2],[2],[3],[4]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,1,3],[2],[3],[4]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,1,4],[2],[3],[4]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,2,2],[2],[3],[4]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,2,3],[2],[3],[4]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,2,4],[2],[3],[4]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,3,3],[2],[3],[4]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,3,4],[2],[3],[4]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,4,4],[2],[3],[4]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,1],[2,2],[3,4]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[[1,1],[2,2],[4,4]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[[1,1],[2,3],[3,4]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[[1,1],[2,3],[4,4]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[[1,1],[3,3],[4,4]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[[1,2],[2,3],[3,4]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[[1,2],[2,3],[4,4]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[[1,2],[3,3],[4,4]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[[2,2],[3,3],[4,4]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[[1,1,1,1,1],[2],[3]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[[1,1,1,1,2],[2],[3]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[[1,1,1,1,3],[2],[3]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[[1,1,1,2,2],[2],[3]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[[1,1,1,2,3],[2],[3]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[[1,1,1,3,3],[2],[3]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[[1,1,2,2,2],[2],[3]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[[1,1,2,2,3],[2],[3]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[[1,1,2,3,3],[2],[3]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[[1,1,3,3,3],[2],[3]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[[1,2,2,2,2],[2],[3]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[[1,2,2,2,3],[2],[3]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[[1,2,2,3,3],[2],[3]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[[1,2,3,3,3],[2],[3]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[[1,3,3,3,3],[2],[3]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[[1,1,1,1],[2,2,2,2]] => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[[1]] => [1] => [1,0,1,0] => 1
[[2]] => [1] => [1,0,1,0] => 1
[[1,1]] => [2] => [1,1,0,0,1,0] => 1
[[3]] => [1] => [1,0,1,0] => 1
[[1,1,1]] => [3] => [1,1,1,0,0,0,1,0] => 1
[[4]] => [1] => [1,0,1,0] => 1
[[1,1,1,1]] => [4] => [1,1,1,1,0,0,0,0,1,0] => 1
[[5]] => [1] => [1,0,1,0] => 1
[[1,1,1,1,1]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[[6]] => [1] => [1,0,1,0] => 1
[[1,2,3,4,5,6]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[[1,2,3,4],[5],[6]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,3,5],[4],[6]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,3,6],[4],[5]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,3],[4],[5],[6]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,2,4,5],[3],[6]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,4,6],[3],[5]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,4],[3],[5],[6]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,2,5,6],[3],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,2,5],[3],[4],[6]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,2,6],[3],[4],[5]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,3,5],[2,4,6]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,3,4],[2,5,6]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,3,4,5],[2],[6]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,3,4,6],[2],[5]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,3,4],[2],[5],[6]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,3,5,6],[2],[4]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,3,5],[2],[4],[6]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,3,6],[2],[4],[5]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,2,5],[3,4,6]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,2,4],[3,5,6]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,4,5,6],[2],[3]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[[1,4],[2,5],[3,6]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[[1,4,5],[2],[3],[6]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,4,6],[2],[3],[5]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,2,3],[4,5,6]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 2
[[1,3],[2,5],[4,6]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[[1,2],[3,5],[4,6]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[[1,5,6],[2],[3],[4]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[[1,3],[2,4],[5,6]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[[1,2],[3,4],[5,6]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[[1],[2],[3],[4],[5],[6]] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
Description
The number of indecomposable modules with projective dimension 2 for Nakayama algebras with global dimension at most 2.
Map
shape
Description
Return the shape of a tableau.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.