Identifier
-
Mp00183:
Skew partitions
—inner shape⟶
Integer partitions
Mp00043: Integer partitions —to Dyck path⟶ Dyck paths
Mp00029: Dyck paths —to binary tree: left tree, up step, right tree, down step⟶ Binary trees
St000122: Binary trees ⟶ ℤ
Values
[[2,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[2,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[2,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[2,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[3,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[3,3],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,3],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[2,2,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[3,2,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,3,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[2,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,2],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[3,2,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,2],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[2,2,2,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[2,2,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,2,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[2,1,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[3,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,2,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[3,3],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,3],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,3],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[3,3,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,2,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,3,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,2,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,3,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[3,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,3,2],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,2,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,3,2],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[3,2,2,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[3,2,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,3,2,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[3,1,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,3,2,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[4,4],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,4],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[3,3,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[4,3,1],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,4,1],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[2,2,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,4,2],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[3,2,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,3,2],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,4,2],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[2,2,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[3,3,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,4,2,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[3,2,1,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,3,2,1],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[4,3,1,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,4,2,1],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[3,3,3],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,4,3],[3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => 0
[[4,3,3],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,4,3],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[2,2,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,3,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[3,3,2,1],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,4,3,1],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[3,2,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,3,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[4,3,2,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,4,3,1],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[2,2,2,2],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[3,3,3,2],[2,2,2]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => 0
[[3,3,2,2],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,4,3,2],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[3,2,2,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,3,3,2],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[4,3,2,2],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,4,3,2],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => 0
[[2,2,2,1,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[2,2,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,2,2,1],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[3,3,2,1,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
>>> Load all 1551 entries. <<<[[4,4,3,2,1],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[2,1,1,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[3,2,2,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,3,3,2,1],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[3,2,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,2,2,1],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[4,3,2,1,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,4,3,2,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[6,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[6,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[5,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[6,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,3],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[6,3],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[4,3,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,2,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,3,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,2,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[6,3,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[4,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[5,3,2],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[5,2,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[6,3,2],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[4,2,2,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[4,2,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[5,3,2,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,1,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[5,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[6,3,2,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[4,4],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,4],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[6,4],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[3,3,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,4,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,3,1],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[6,4,1],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[3,3,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,2],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[3,2,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,3,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,4,2],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[4,2,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,3,2],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[6,4,2],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[3,3,2,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[3,3,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,2,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[3,2,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,3,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,3,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,4,2,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[4,2,1,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,3,2,1],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[5,3,1,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[6,4,2,1],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[4,3,3],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[5,4,3],[3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => 0
[[5,3,3],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[6,4,3],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[3,2,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,3,3,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,3,2,1],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[5,4,3,1],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[4,2,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,3,3,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,3,2,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[6,4,3,1],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[3,2,2,2],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[4,3,3,2],[2,2,2]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => 0
[[4,3,2,2],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[5,4,3,2],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[4,2,2,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[5,3,3,2],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[5,3,2,2],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[6,4,3,2],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[3,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => 0
[[3,2,2,1,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[4,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[3,2,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,3,2,2,1],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[4,3,2,1,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[5,4,3,2,1],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[3,1,1,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[4,2,2,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[5,3,3,2,1],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[4,2,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,3,2,2,1],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[5,3,2,1,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[6,4,3,2,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[5,5],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[6,5],[5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],.] => 0
[[4,4,1],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,5,1],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[5,4,1],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[6,5,1],[5,1]] => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[.,.],.]]]],.] => 1
[[3,3,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,2],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,5,2],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[4,3,2],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,4,2],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[6,5,2],[5,2]] => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,.]],.]]],.] => 1
[[3,3,1,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,2,1],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[4,4,1,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,5,2,1],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[4,3,1,1],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,4,2,1],[4,1,1]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],[.,.]]],.] => 0
[[5,4,1,1],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[6,5,2,1],[5,2,1]] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],.],.]]],.] => 1
[[3,3,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,4,3],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,5,3],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[4,3,3],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,4,3],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[6,5,3],[5,3]] => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],.]],.] => 0
[[2,2,2,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[3,3,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,4,3,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[4,4,2,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,5,3,1],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[3,2,2,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,3,3,1],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[4,3,2,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,4,3,1],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[5,4,2,1],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[6,5,3,1],[5,3,1]] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],.]],.]],.] => 0
[[3,3,2,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,4,3,2],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[4,4,2,2],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,5,3,2],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[4,3,2,2],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[5,4,3,2],[4,2,2]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[[.,[.,.]],[.,.]],.] => 0
[[5,4,2,2],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[6,5,3,2],[5,3,2]] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,.]],.],.]],.] => 0
[[2,2,1,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,2,2,1],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[3,3,2,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,4,3,2,1],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[3,3,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,4,2,2,1],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[4,4,2,1,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,5,3,2,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[3,2,1,1,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,3,2,2,1],[3,1,1,1]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [[.,.],[[.,[.,.]],.]] => 0
[[4,3,2,1,1],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[5,4,3,2,1],[4,2,2,1]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [[[[.,.],.],[.,.]],.] => 0
[[4,3,1,1,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,4,2,2,1],[4,2,1,1]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[[.,.],[[.,.],.]],.] => 0
[[5,4,2,1,1],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[6,5,3,2,1],[5,3,2,1]] => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],.],.],.]],.] => 0
[[4,4,4],[3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => 0
[[5,5,4],[4,4]] => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,.]] => 0
[[5,4,4],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[6,5,4],[5,4]] => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],.] => 0
[[3,3,3,1],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,4,4,1],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[4,4,3,1],[3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => 0
[[5,5,4,1],[4,4,1]] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[.,.]] => 1
[[4,3,3,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,4,4,1],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[5,4,3,1],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[6,5,4,1],[5,4,1]] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],.]]],.],.] => 1
[[2,2,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,3,2],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,4,4,2],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[3,3,2,2],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,4,3,2],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[5,5,4,2],[4,4,2]] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[.,.]] => 0
[[3,2,2,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,3,2],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,4,4,2],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[4,3,2,2],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,4,3,2],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[6,5,4,2],[5,4,2]] => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,.]],.]],.],.] => 0
[[2,2,2,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,3,2,1],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[3,3,3,1,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,4,4,2,1],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[3,3,2,1,1],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,4,3,2,1],[3,3,1,1]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[.,.]] => 0
[[4,4,3,1,1],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[5,5,4,2,1],[4,4,2,1]] => [4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,.],.],.]],[.,.]] => 0
[[3,2,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,3,2,1],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[4,3,3,1,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,4,4,2,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[4,3,2,1,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,4,3,2,1],[4,3,1,1]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [[[[.,.],[.,.]],.],.] => 0
[[5,4,3,1,1],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[6,5,4,2,1],[5,4,2,1]] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,.],.],.]],.],.] => 0
[[3,3,3,3],[2,2,2]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => 0
[[4,4,4,3],[3,3,3]] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[[4,4,3,3],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[5,5,4,3],[4,4,3]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => 0
[[4,3,3,3],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[5,4,4,3],[4,3,3]] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] => 0
[[5,4,3,3],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[6,5,4,3],[5,4,3]] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,.]]],.],.],.] => 0
[[2,2,2,2,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[3,3,3,3,1],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[3,3,3,2,1],[2,2,2]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => 0
[[4,4,4,3,1],[3,3,3,1]] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[.,[.,.]]] => 0
[[3,3,2,2,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,4,3,3,1],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[4,4,3,2,1],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[5,5,4,3,1],[4,4,3,1]] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,.],.]],.],[.,.]] => 0
[[3,2,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,3,3,3,1],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[4,3,3,2,1],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[5,4,4,3,1],[4,3,3,1]] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] => 0
[[4,3,2,2,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,4,3,3,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[5,4,3,2,1],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[6,5,4,3,1],[5,4,3,1]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,.],.]],.],.],.] => 0
[[2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => 0
[[3,3,3,3,2],[2,2,2,2]] => [2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[.,[.,.]],[.,[.,[.,.]]]] => 0
[[3,3,3,2,2],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[4,4,4,3,2],[3,3,3,2]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[.,[.,.]]] => 0
[[3,3,2,2,2],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[4,4,3,3,2],[3,3,2,2]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[.,.]],[[.,.],[.,.]]] => 0
[[4,4,3,2,2],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[5,5,4,3,2],[4,4,3,2]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,.]],.],.],[.,.]] => 0
[[3,2,2,2,2],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[4,3,3,3,2],[3,2,2,2]] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,[[.,.],.]]] => 1
[[4,3,3,2,2],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[5,4,4,3,2],[4,3,3,2]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => 0
[[4,3,2,2,2],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[5,4,3,3,2],[4,3,2,2]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,.]],[[[.,.],.],.]] => 0
[[5,4,3,2,2],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[6,5,4,3,2],[5,4,3,2]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,.]],.],.],.],.] => 0
[[2,2,2,2,2,1],[1,1,1,1,1]] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,.]]]]] => 0
[[2,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => 0
[[3,3,3,3,2,1],[2,2,2,2,1]] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[.,[.,[.,.]]]] => 0
[[2,2,2,1,1,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[3,3,3,2,2,1],[2,2,2,1,1]] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [[.,.],[[.,.],[.,[.,.]]]] => 0
[[3,3,3,2,1,1],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[4,4,4,3,2,1],[3,3,3,2,1]] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,.],.],.],[.,[.,.]]] => 0
[[2,2,1,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,2,2,2,1],[2,2,1,1,1]] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[[3,3,2,2,1,1],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[4,4,3,3,2,1],[3,3,2,2,1]] => [3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] => 0
[[3,3,2,1,1,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,4,3,2,2,1],[3,3,2,1,1]] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [[.,.],[[[.,.],.],[.,.]]] => 0
[[4,4,3,2,1,1],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[5,5,4,3,2,1],[4,4,3,2,1]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,.],.],.],.],[.,.]] => 0
[[2,1,1,1,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,2,2,2,2,1],[2,1,1,1,1]] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[.,.],.]]]] => 1
[[3,2,2,2,1,1],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[4,3,3,3,2,1],[3,2,2,2,1]] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[.,[[.,.],.]]] => 1
[[3,2,2,1,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,3,3,2,2,1],[3,2,2,1,1]] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [[.,.],[[.,.],[[.,.],.]]] => 1
[[4,3,3,2,1,1],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[5,4,4,3,2,1],[4,3,3,2,1]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => 0
[[3,2,1,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,2,2,2,1],[3,2,1,1,1]] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,.],.],.]]] => 1
[[4,3,2,2,1,1],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[5,4,3,3,2,1],[4,3,2,2,1]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] => 0
[[4,3,2,1,1,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,4,3,2,2,1],[4,3,2,1,1]] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,.],.],.],.]] => 0
[[5,4,3,2,1,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[6,5,4,3,2,1],[5,4,3,2,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],.] => 0
[[7,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[6,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[7,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[6,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[6,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[7,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,3],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[6,3],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[7,3],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,3,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[5,2,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[6,3,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[6,2,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[7,3,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[6,3,2],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[6,2,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[7,3,2],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,2,2,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[5,2,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[6,3,2,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[5,1,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[6,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[6,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[7,3,2,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[4,4],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,4],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[6,4],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[7,4],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[4,4,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,3,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,4,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,3,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[6,4,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[6,3,1],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[7,4,1],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[4,3,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[5,4,2],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,2,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,3,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[6,4,2],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,2,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[6,3,2],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[7,4,2],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[4,3,2,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[4,3,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[5,4,2,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,2,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,3,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[5,3,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[6,4,2,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,2,1,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[6,3,2,1],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[6,3,1,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[7,4,2,1],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[5,3,3],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[6,4,3],[3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => 0
[[6,3,3],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[7,4,3],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[4,2,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[5,3,3,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[5,3,2,1],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[6,4,3,1],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[5,2,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[6,3,3,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[6,3,2,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[7,4,3,1],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[4,2,2,2],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[5,3,3,2],[2,2,2]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => 0
[[5,3,2,2],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[6,4,3,2],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[5,2,2,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[6,3,3,2],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[6,3,2,2],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[7,4,3,2],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[4,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => 0
[[4,2,2,1,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[5,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[4,2,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[5,3,2,2,1],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[5,3,2,1,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[6,4,3,2,1],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[4,1,1,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[5,2,2,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[6,3,3,2,1],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[5,2,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[6,3,2,2,1],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[6,3,2,1,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[7,4,3,2,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[5,5],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[6,5],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[7,5],[5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],.] => 0
[[4,4,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,5,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,4,1],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[6,5,1],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[6,4,1],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[7,5,1],[5,1]] => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[.,.],.]]]],.] => 1
[[3,3,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,5,2],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[4,3,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,4,2],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[6,5,2],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[5,3,2],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[6,4,2],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[7,5,2],[5,2]] => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,.]],.]]],.] => 1
[[3,3,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,4,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,5,2,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[4,3,1,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,4,2,1],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[5,4,1,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[6,5,2,1],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[5,3,1,1],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[6,4,2,1],[4,1,1]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],[.,.]]],.] => 0
[[6,4,1,1],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[7,5,2,1],[5,2,1]] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],.],.]]],.] => 1
[[3,3,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,3],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[5,5,3],[3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => 0
[[4,3,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,4,3],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[6,5,3],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[5,3,3],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[6,4,3],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[7,5,3],[5,3]] => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],.]],.] => 0
[[3,3,3,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[3,3,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,3,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,4,2,1],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[5,5,3,1],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[3,2,2,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,3,3,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,3,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,4,3,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,4,2,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[6,5,3,1],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[4,2,2,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,3,3,1],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[5,3,2,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[6,4,3,1],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[6,4,2,1],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[7,5,3,1],[5,3,1]] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],.]],.]],.] => 0
[[3,3,2,2],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[4,4,3,2],[2,2,2]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => 0
[[4,4,2,2],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[5,5,3,2],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[4,3,2,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[5,4,3,2],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[5,4,2,2],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[6,5,3,2],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[5,3,2,2],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[6,4,3,2],[4,2,2]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[[.,[.,.]],[.,.]],.] => 0
[[6,4,2,2],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[7,5,3,2],[5,3,2]] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,.]],.],.]],.] => 0
[[3,3,2,2,1],[1,1,1,1]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => 0
[[3,3,2,1,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[4,4,3,2,1],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[3,3,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,2,2,1],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[4,4,2,1,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[5,5,3,2,1],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[3,2,1,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,3,2,2,1],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[4,3,2,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[5,4,3,2,1],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[4,3,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,4,2,2,1],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[5,4,2,1,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[6,5,3,2,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[4,2,1,1,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,3,2,2,1],[3,1,1,1]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [[.,.],[[.,[.,.]],.]] => 0
[[5,3,2,1,1],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[6,4,3,2,1],[4,2,2,1]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [[[[.,.],.],[.,.]],.] => 0
[[5,3,1,1,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[6,4,2,2,1],[4,2,1,1]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[[.,.],[[.,.],.]],.] => 0
[[6,4,2,1,1],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[7,5,3,2,1],[5,3,2,1]] => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],.],.],.]],.] => 0
[[5,4,4],[3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => 0
[[6,5,4],[4,4]] => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,.]] => 0
[[6,4,4],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[7,5,4],[5,4]] => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],.] => 0
[[4,3,3,1],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[5,4,4,1],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[5,4,3,1],[3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => 0
[[6,5,4,1],[4,4,1]] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[.,.]] => 1
[[5,3,3,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[6,4,4,1],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[6,4,3,1],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[7,5,4,1],[5,4,1]] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],.]]],.],.] => 1
[[3,2,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,3,3,2],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[5,4,4,2],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[4,3,2,2],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[5,4,3,2],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[6,5,4,2],[4,4,2]] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[.,.]] => 0
[[4,2,2,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,3,3,2],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[6,4,4,2],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[5,3,2,2],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[6,4,3,2],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[7,5,4,2],[5,4,2]] => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,.]],.]],.],.] => 0
[[3,2,2,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,3,3,2,1],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[4,3,3,1,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[5,4,4,2,1],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[4,3,2,1,1],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[5,4,3,2,1],[3,3,1,1]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[.,.]] => 0
[[5,4,3,1,1],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[6,5,4,2,1],[4,4,2,1]] => [4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,.],.],.]],[.,.]] => 0
[[4,2,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,3,3,2,1],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[5,3,3,1,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[6,4,4,2,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[5,3,2,1,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[6,4,3,2,1],[4,3,1,1]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [[[[.,.],[.,.]],.],.] => 0
[[6,4,3,1,1],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[7,5,4,2,1],[5,4,2,1]] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,.],.],.]],.],.] => 0
[[4,3,3,3],[2,2,2]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => 0
[[5,4,4,3],[3,3,3]] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[[5,4,3,3],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[6,5,4,3],[4,4,3]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => 0
[[5,3,3,3],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[6,4,4,3],[4,3,3]] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] => 0
[[6,4,3,3],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[7,5,4,3],[5,4,3]] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,.]]],.],.],.] => 0
[[3,2,2,2,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[4,3,3,3,1],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[4,3,3,2,1],[2,2,2]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => 0
[[5,4,4,3,1],[3,3,3,1]] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[.,[.,.]]] => 0
[[4,3,2,2,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[5,4,3,3,1],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[5,4,3,2,1],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[6,5,4,3,1],[4,4,3,1]] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,.],.]],.],[.,.]] => 0
[[4,2,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[5,3,3,3,1],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[5,3,3,2,1],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[6,4,4,3,1],[4,3,3,1]] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] => 0
[[5,3,2,2,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[6,4,3,3,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[6,4,3,2,1],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[7,5,4,3,1],[5,4,3,1]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,.],.]],.],.],.] => 0
[[3,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => 0
[[4,3,3,3,2],[2,2,2,2]] => [2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[.,[.,.]],[.,[.,[.,.]]]] => 0
[[4,3,3,2,2],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[5,4,4,3,2],[3,3,3,2]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[.,[.,.]]] => 0
[[4,3,2,2,2],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[5,4,3,3,2],[3,3,2,2]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[.,.]],[[.,.],[.,.]]] => 0
[[5,4,3,2,2],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[6,5,4,3,2],[4,4,3,2]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,.]],.],.],[.,.]] => 0
[[4,2,2,2,2],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[5,3,3,3,2],[3,2,2,2]] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,[[.,.],.]]] => 1
[[5,3,3,2,2],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[6,4,4,3,2],[4,3,3,2]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => 0
[[5,3,2,2,2],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[6,4,3,3,2],[4,3,2,2]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,.]],[[[.,.],.],.]] => 0
[[6,4,3,2,2],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[7,5,4,3,2],[5,4,3,2]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,.]],.],.],.],.] => 0
[[3,2,2,2,2,1],[1,1,1,1,1]] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,.]]]]] => 0
[[3,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => 0
[[4,3,3,3,2,1],[2,2,2,2,1]] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[.,[.,[.,.]]]] => 0
[[3,2,2,1,1,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[4,3,3,2,2,1],[2,2,2,1,1]] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [[.,.],[[.,.],[.,[.,.]]]] => 0
[[4,3,3,2,1,1],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[5,4,4,3,2,1],[3,3,3,2,1]] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,.],.],.],[.,[.,.]]] => 0
[[3,2,1,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,3,2,2,2,1],[2,2,1,1,1]] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[[4,3,2,2,1,1],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[5,4,3,3,2,1],[3,3,2,2,1]] => [3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] => 0
[[4,3,2,1,1,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[5,4,3,2,2,1],[3,3,2,1,1]] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [[.,.],[[[.,.],.],[.,.]]] => 0
[[5,4,3,2,1,1],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[6,5,4,3,2,1],[4,4,3,2,1]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,.],.],.],.],[.,.]] => 0
[[3,1,1,1,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,2,2,2,2,1],[2,1,1,1,1]] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[.,.],.]]]] => 1
[[4,2,2,2,1,1],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[5,3,3,3,2,1],[3,2,2,2,1]] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[.,[[.,.],.]]] => 1
[[4,2,2,1,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[5,3,3,2,2,1],[3,2,2,1,1]] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [[.,.],[[.,.],[[.,.],.]]] => 1
[[5,3,3,2,1,1],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[6,4,4,3,2,1],[4,3,3,2,1]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => 0
[[4,2,1,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,3,2,2,2,1],[3,2,1,1,1]] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,.],.],.]]] => 1
[[5,3,2,2,1,1],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[6,4,3,3,2,1],[4,3,2,2,1]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] => 0
[[5,3,2,1,1,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[6,4,3,2,2,1],[4,3,2,1,1]] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,.],.],.],.]] => 0
[[6,4,3,2,1,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[7,5,4,3,2,1],[5,4,3,2,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],.] => 0
[[6,6],[5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],.] => 0
[[7,6],[6]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => 0
[[5,5,1],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[6,6,1],[5,1]] => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[.,.],.]]]],.] => 1
[[6,5,1],[5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],.] => 0
[[7,6,1],[6,1]] => [6,1] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => 1
[[4,4,2],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,5,2],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[6,6,2],[5,2]] => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,.]],.]]],.] => 1
[[5,4,2],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[6,5,2],[5,1]] => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[.,.],.]]]],.] => 1
[[7,6,2],[6,2]] => [6,2] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => 1
[[4,4,1,1],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,5,2,1],[4,1,1]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],[.,.]]],.] => 0
[[5,5,1,1],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[6,6,2,1],[5,2,1]] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],.],.]]],.] => 1
[[5,4,1,1],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[6,5,2,1],[5,1,1]] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [[.,[.,[[.,.],[.,.]]]],.] => 1
[[6,5,1,1],[5,1]] => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[.,.],.]]]],.] => 1
[[7,6,2,1],[6,2,1]] => [6,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[.,[.,[.,[[[.,.],.],.]]]],.] => 1
[[3,3,3],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,3],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,5,3],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[6,6,3],[5,3]] => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],.]],.] => 0
[[4,3,3],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,4,3],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[6,5,3],[5,2]] => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,.]],.]]],.] => 1
[[7,6,3],[6,3]] => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => 1
[[3,3,2,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,3,1],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[4,4,2,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,5,3,1],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[5,5,2,1],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[6,6,3,1],[5,3,1]] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],.]],.]],.] => 0
[[4,3,2,1],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,4,3,1],[4,1,1]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],[.,.]]],.] => 0
[[5,4,2,1],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[6,5,3,1],[5,2,1]] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],.],.]]],.] => 1
[[6,5,2,1],[5,2]] => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,.]],.]]],.] => 1
[[7,6,3,1],[6,3,1]] => [6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[[.,.],.]],.]]],.] => 1
[[4,4,2,2],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[5,5,3,2],[4,2,2]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[[.,[.,.]],[.,.]],.] => 0
[[5,5,2,2],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[6,6,3,2],[5,3,2]] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,.]],.],.]],.] => 0
[[5,4,2,2],[4,1,1]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],[.,.]]],.] => 0
[[6,5,3,2],[5,2,2]] => [5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => [[.,[[.,[.,.]],[.,.]]],.] => 0
[[6,5,2,2],[5,2,1]] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],.],.]]],.] => 1
[[7,6,3,2],[6,3,2]] => [6,3,2] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[.,[.,.]],.],.]]],.] => 1
[[3,3,1,1,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,2,2,1],[3,1,1,1]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [[.,.],[[.,[.,.]],.]] => 0
[[4,4,2,1,1],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[5,5,3,2,1],[4,2,2,1]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [[[[.,.],.],[.,.]],.] => 0
[[4,4,1,1,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,5,2,2,1],[4,2,1,1]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[[.,.],[[.,.],.]],.] => 0
[[5,5,2,1,1],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[6,6,3,2,1],[5,3,2,1]] => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],.],.],.]],.] => 0
[[4,3,1,1,1],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,4,2,2,1],[4,1,1,1]] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] => 0
[[5,4,2,1,1],[4,1,1]] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [[.,[[.,.],[.,.]]],.] => 0
[[6,5,3,2,1],[5,2,2,1]] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [[.,[[[.,.],.],[.,.]]],.] => 0
[[5,4,1,1,1],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[6,5,2,2,1],[5,2,1,1]] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [[.,[[.,.],[[.,.],.]]],.] => 1
[[6,5,2,1,1],[5,2,1]] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[.,.],.],.]]],.] => 1
[[7,6,3,2,1],[6,3,2,1]] => [6,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[[[[.,.],.],.],.]]],.] => 1
[[4,4,4],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,5,4],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[6,6,4],[5,4]] => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],.] => 0
[[5,4,4],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[6,5,4],[5,3]] => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],.]],.] => 0
[[7,6,4],[6,4]] => [6,4] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => 0
[[3,3,3,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,4,4,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[4,4,3,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,5,4,1],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[5,5,3,1],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[6,6,4,1],[5,4,1]] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],.]]],.],.] => 1
[[4,3,3,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,4,4,1],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[5,4,3,1],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[6,5,4,1],[5,3,1]] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],.]],.]],.] => 0
[[6,5,3,1],[5,3]] => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],.]],.] => 0
[[7,6,4,1],[6,4,1]] => [6,4,1] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[[.,.],.]]],.]],.] => 1
[[2,2,2,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,4,4,2],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[3,3,2,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,4,3,2],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,5,4,2],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[4,4,2,2],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,5,3,2],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[6,6,4,2],[5,4,2]] => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,.]],.]],.],.] => 0
[[3,2,2,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,3,3,2],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[5,4,4,2],[4,2,2]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[[.,[.,.]],[.,.]],.] => 0
[[4,3,2,2],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,4,3,2],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[6,5,4,2],[5,3,2]] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,.]],.],.]],.] => 0
[[5,4,2,2],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[6,5,3,2],[5,3,1]] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],.]],.]],.] => 0
[[7,6,4,2],[6,4,2]] => [6,4,2] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,[.,.]],.]],.]],.] => 0
[[2,2,2,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,2,1],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[3,3,3,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,4,4,2,1],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[3,3,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,4,3,2,1],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[4,4,3,1,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,5,4,2,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[4,4,2,1,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,5,3,2,1],[4,3,1,1]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [[[[.,.],[.,.]],.],.] => 0
[[5,5,3,1,1],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[6,6,4,2,1],[5,4,2,1]] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,.],.],.]],.],.] => 0
[[3,2,2,1,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,3,3,2,1],[3,1,1,1]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [[.,.],[[.,[.,.]],.]] => 0
[[4,3,3,1,1],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[5,4,4,2,1],[4,2,2,1]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [[[[.,.],.],[.,.]],.] => 0
[[4,3,2,1,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,4,3,2,1],[4,2,1,1]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[[.,.],[[.,.],.]],.] => 0
[[5,4,3,1,1],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[6,5,4,2,1],[5,3,2,1]] => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],.],.],.]],.] => 0
[[5,4,2,1,1],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[6,5,3,2,1],[5,3,1,1]] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [[.,[[[.,.],[.,.]],.]],.] => 0
[[6,5,3,1,1],[5,3,1]] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[.,.],.]],.]],.] => 0
[[7,6,4,2,1],[6,4,2,1]] => [6,4,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[.,[[.,[[[.,.],.],.]],.]],.] => 0
[[4,4,3,3],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[5,5,4,3],[4,3,3]] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] => 0
[[5,5,3,3],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[6,6,4,3],[5,4,3]] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,.]]],.],.],.] => 0
[[5,4,3,3],[4,2,2]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[[.,[.,.]],[.,.]],.] => 0
[[6,5,4,3],[5,3,3]] => [5,3,3] => [1,1,1,0,0,0,1,1,0,0,1,0] => [[[.,[.,[.,.]]],[.,.]],.] => 0
[[6,5,3,3],[5,3,2]] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,.]],.],.]],.] => 0
[[7,6,4,3],[6,4,3]] => [6,4,3] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,[.,.]]],.],.]],.] => 0
[[3,3,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,4,3,3,1],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[4,4,3,2,1],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[5,5,4,3,1],[4,3,3,1]] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] => 0
[[4,4,2,2,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,5,3,3,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[5,5,3,2,1],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[6,6,4,3,1],[5,4,3,1]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,.],.]],.],.],.] => 0
[[4,3,2,2,1],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[5,4,3,3,1],[4,2,2,1]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [[[[.,.],.],[.,.]],.] => 0
[[5,4,3,2,1],[4,2,2]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[[.,[.,.]],[.,.]],.] => 0
[[6,5,4,3,1],[5,3,3,1]] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [[[.,[[.,.],.]],[.,.]],.] => 0
[[5,4,2,2,1],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[6,5,3,3,1],[5,3,2,1]] => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],.],.],.]],.] => 0
[[6,5,3,2,1],[5,3,2]] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[.,.]],.],.]],.] => 0
[[7,6,4,3,1],[6,4,3,1]] => [6,4,3,1] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[.,[[[.,[[.,.],.]],.],.]],.] => 0
[[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[4,4,3,3,2],[3,2,2,2]] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,[[.,.],.]]] => 1
[[4,4,3,2,2],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[5,5,4,3,2],[4,3,3,2]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => 0
[[4,4,2,2,2],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[5,5,3,3,2],[4,3,2,2]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,.]],[[[.,.],.],.]] => 0
[[5,5,3,2,2],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[6,6,4,3,2],[5,4,3,2]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,.]],.],.],.],.] => 0
[[4,3,2,2,2],[3,1,1,1]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [[.,.],[[.,[.,.]],.]] => 0
[[5,4,3,3,2],[4,2,2,2]] => [4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => [[.,[.,.]],[[.,[.,.]],.]] => 0
[[5,4,3,2,2],[4,2,2,1]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [[[[.,.],.],[.,.]],.] => 0
[[6,5,4,3,2],[5,3,3,2]] => [5,3,3,2] => [1,1,0,0,1,0,1,1,0,0,1,0] => [[[[.,[.,.]],.],[.,.]],.] => 0
[[5,4,2,2,2],[4,2,1,1]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[[.,.],[[.,.],.]],.] => 0
[[6,5,3,3,2],[5,3,2,2]] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => [[[.,[.,.]],[[.,.],.]],.] => 0
[[6,5,3,2,2],[5,3,2,1]] => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],.],.],.]],.] => 0
[[7,6,4,3,2],[6,4,3,2]] => [6,4,3,2] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,[.,.]],.],.],.]],.] => 0
[[2,2,1,1,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,2,2,2,1],[2,1,1,1,1]] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[.,.],.]]]] => 1
[[3,3,2,2,1,1],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[4,4,3,3,2,1],[3,2,2,2,1]] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[.,[[.,.],.]]] => 1
[[3,3,2,1,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,4,3,2,2,1],[3,2,2,1,1]] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [[.,.],[[.,.],[[.,.],.]]] => 1
[[4,4,3,2,1,1],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[5,5,4,3,2,1],[4,3,3,2,1]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => 0
[[3,3,1,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,4,2,2,2,1],[3,2,1,1,1]] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,.],.],.]]] => 1
[[4,4,2,2,1,1],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[5,5,3,3,2,1],[4,3,2,2,1]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] => 0
[[4,4,2,1,1,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,5,3,2,2,1],[4,3,2,1,1]] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,.],.],.],.]] => 0
[[5,5,3,2,1,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[6,6,4,3,2,1],[5,4,3,2,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],.] => 0
[[3,2,1,1,1,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,3,2,2,2,1],[3,1,1,1,1]] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [[.,.],[.,[[.,[.,.]],.]]] => 1
[[4,3,2,2,1,1],[3,1,1,1]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [[.,.],[[.,[.,.]],.]] => 0
[[5,4,3,3,2,1],[4,2,2,2,1]] => [4,2,2,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [[[.,.],.],[[.,[.,.]],.]] => 0
[[4,3,2,1,1,1],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[5,4,3,2,2,1],[4,2,2,1,1]] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [[.,.],[[[.,.],[.,.]],.]] => 0
[[5,4,3,2,1,1],[4,2,2,1]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [[[[.,.],.],[.,.]],.] => 0
[[6,5,4,3,2,1],[5,3,3,2,1]] => [5,3,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [[[[[.,.],.],.],[.,.]],.] => 0
[[4,3,1,1,1,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,4,2,2,2,1],[4,2,1,1,1]] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [[.,.],[[.,[[.,.],.]],.]] => 0
[[5,4,2,2,1,1],[4,2,1,1]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[[.,.],[[.,.],.]],.] => 0
[[6,5,3,3,2,1],[5,3,2,2,1]] => [5,3,2,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [[[[.,.],.],[[.,.],.]],.] => 0
[[5,4,2,1,1,1],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[6,5,3,2,2,1],[5,3,2,1,1]] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [[[.,.],[[[.,.],.],.]],.] => 0
[[6,5,3,2,1,1],[5,3,2,1]] => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[.,.],.],.],.]],.] => 0
[[7,6,4,3,2,1],[6,4,3,2,1]] => [6,4,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[.,[[[[[.,.],.],.],.],.]],.] => 0
[[5,5,5],[4,4]] => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,.]] => 0
[[6,6,5],[5,5]] => [5,5] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => 0
[[6,5,5],[5,4]] => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],.] => 0
[[7,6,5],[6,5]] => [6,5] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 0
[[4,4,4,1],[3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => 0
[[5,5,5,1],[4,4,1]] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[.,.]] => 1
[[5,5,4,1],[4,4]] => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,.]] => 0
[[6,6,5,1],[5,5,1]] => [5,5,1] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => 1
[[5,4,4,1],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[6,5,5,1],[5,4,1]] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],.]]],.],.] => 1
[[6,5,4,1],[5,4]] => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],.] => 0
[[7,6,5,1],[6,5,1]] => [6,5,1] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 1
[[3,3,3,2],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,4,4,2],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[5,5,5,2],[4,4,2]] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[.,.]] => 0
[[4,4,3,2],[3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => 0
[[5,5,4,2],[4,4,1]] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[.,.]] => 1
[[6,6,5,2],[5,5,2]] => [5,5,2] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => 1
[[4,3,3,2],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,4,4,2],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[6,5,5,2],[5,4,2]] => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,.]],.]],.],.] => 0
[[5,4,3,2],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[6,5,4,2],[5,4,1]] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],.]]],.],.] => 1
[[7,6,5,2],[6,5,2]] => [6,5,2] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 1
[[3,3,3,1,1],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,4,4,2,1],[3,3,1,1]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[.,.]] => 0
[[4,4,4,1,1],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[5,5,5,2,1],[4,4,2,1]] => [4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,.],.],.]],[.,.]] => 0
[[4,4,3,1,1],[3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => 0
[[5,5,4,2,1],[4,4,1,1]] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [[.,[[.,.],[.,.]]],[.,.]] => 0
[[5,5,4,1,1],[4,4,1]] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[.,.]] => 1
[[6,6,5,2,1],[5,5,2,1]] => [5,5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[[.,.],.],.]]],[.,.]] => 1
[[4,3,3,1,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,4,4,2,1],[4,3,1,1]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [[[[.,.],[.,.]],.],.] => 0
[[5,4,4,1,1],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[6,5,5,2,1],[5,4,2,1]] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,.],.],.]],.],.] => 0
[[5,4,3,1,1],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[6,5,4,2,1],[5,4,1,1]] => [5,4,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [[[.,[[.,.],[.,.]]],.],.] => 0
[[6,5,4,1,1],[5,4,1]] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[.,.],.]]],.],.] => 1
[[7,6,5,2,1],[6,5,2,1]] => [6,5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[[.,[.,[[[.,.],.],.]]],.],.] => 1
[[3,3,3,3],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,4,4,3],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[5,5,5,3],[4,4,3]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => 0
[[4,4,3,3],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[5,5,4,3],[4,4,2]] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[.,.]] => 0
[[6,6,5,3],[5,5,3]] => [5,5,3] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => 0
[[4,3,3,3],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,4,4,3],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[6,5,5,3],[5,4,3]] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,.]]],.],.],.] => 0
[[5,4,3,3],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[6,5,4,3],[5,4,2]] => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,.]],.]],.],.] => 0
[[7,6,5,3],[6,5,3]] => [6,5,3] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 0
[[2,2,2,2,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,3,3,1],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[3,3,3,2,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,4,4,3,1],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[4,4,4,2,1],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[5,5,5,3,1],[4,4,3,1]] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,.],.]],.],[.,.]] => 0
[[3,3,2,2,1],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,4,3,3,1],[3,3,1,1]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[.,.]] => 0
[[4,4,3,2,1],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[5,5,4,3,1],[4,4,2,1]] => [4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,.],.],.]],[.,.]] => 0
[[5,5,4,2,1],[4,4,2]] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[.,.]] => 0
[[6,6,5,3,1],[5,5,3,1]] => [5,5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[[.,.],.]],.]],[.,.]] => 0
[[3,2,2,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,3,3,1],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[4,3,3,2,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,4,4,3,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[5,4,4,2,1],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[6,5,5,3,1],[5,4,3,1]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,.],.]],.],.],.] => 0
[[4,3,2,2,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,4,3,3,1],[4,3,1,1]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [[[[.,.],[.,.]],.],.] => 0
[[5,4,3,2,1],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[6,5,4,3,1],[5,4,2,1]] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,.],.],.]],.],.] => 0
[[6,5,4,2,1],[5,4,2]] => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[.,.]],.]],.],.] => 0
[[7,6,5,3,1],[6,5,3,1]] => [6,5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[[.,[[.,[[.,.],.]],.]],.],.] => 0
[[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[4,4,4,3,2],[3,3,2,2]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[.,.]],[[.,.],[.,.]]] => 0
[[4,4,4,2,2],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[5,5,5,3,2],[4,4,3,2]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,.]],.],.],[.,.]] => 0
[[4,4,3,2,2],[3,3,1,1]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[.,.]] => 0
[[5,5,4,3,2],[4,4,2,2]] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[.,.]],[.,.]],[.,.]] => 0
[[5,5,4,2,2],[4,4,2,1]] => [4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,.],.],.]],[.,.]] => 0
[[6,6,5,3,2],[5,5,3,2]] => [5,5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,[.,.]],.],.]],[.,.]] => 0
[[4,3,3,2,2],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[5,4,4,3,2],[4,3,2,2]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,.]],[[[.,.],.],.]] => 0
[[5,4,4,2,2],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[6,5,5,3,2],[5,4,3,2]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,.]],.],.],.],.] => 0
[[5,4,3,2,2],[4,3,1,1]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [[[[.,.],[.,.]],.],.] => 0
[[6,5,4,3,2],[5,4,2,2]] => [5,4,2,2] => [1,1,0,0,1,1,0,0,1,0,1,0] => [[[[.,[.,.]],[.,.]],.],.] => 0
[[6,5,4,2,2],[5,4,2,1]] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,.],.],.]],.],.] => 0
[[7,6,5,3,2],[6,5,3,2]] => [6,5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,[.,.]],.],.]],.],.] => 0
[[2,2,2,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,3,2,2,1],[2,2,1,1,1]] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[[3,3,3,2,1,1],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[4,4,4,3,2,1],[3,3,2,2,1]] => [3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] => 0
[[3,3,3,1,1,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,4,4,2,2,1],[3,3,2,1,1]] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [[.,.],[[[.,.],.],[.,.]]] => 0
[[4,4,4,2,1,1],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[5,5,5,3,2,1],[4,4,3,2,1]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,.],.],.],.],[.,.]] => 0
[[3,3,2,1,1,1],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,4,3,2,2,1],[3,3,1,1,1]] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,[.,.]],[.,.]]] => 0
[[4,4,3,2,1,1],[3,3,1,1]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[.,.]] => 0
[[5,5,4,3,2,1],[4,4,2,2,1]] => [4,4,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [[[[.,.],.],[.,.]],[.,.]] => 0
[[4,4,3,1,1,1],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[5,5,4,2,2,1],[4,4,2,1,1]] => [4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [[[.,.],[[.,.],.]],[.,.]] => 0
[[5,5,4,2,1,1],[4,4,2,1]] => [4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,.],.],.]],[.,.]] => 0
[[6,6,5,3,2,1],[5,5,3,2,1]] => [5,5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[[.,.],.],.],.]],[.,.]] => 0
[[3,2,2,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,3,2,2,1],[3,2,1,1,1]] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,.],.],.]]] => 1
[[4,3,3,2,1,1],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[5,4,4,3,2,1],[4,3,2,2,1]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] => 0
[[4,3,3,1,1,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,4,4,2,2,1],[4,3,2,1,1]] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,.],.],.],.]] => 0
[[5,4,4,2,1,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[6,5,5,3,2,1],[5,4,3,2,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],.] => 0
[[4,3,2,1,1,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,4,3,2,2,1],[4,3,1,1,1]] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,[.,.]],.],.]] => 0
[[5,4,3,2,1,1],[4,3,1,1]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [[[[.,.],[.,.]],.],.] => 0
[[6,5,4,3,2,1],[5,4,2,2,1]] => [5,4,2,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [[[[[.,.],.],[.,.]],.],.] => 0
[[5,4,3,1,1,1],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[6,5,4,2,2,1],[5,4,2,1,1]] => [5,4,2,1,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [[[[.,.],[[.,.],.]],.],.] => 0
[[6,5,4,2,1,1],[5,4,2,1]] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[.,.],.],.]],.],.] => 0
[[7,6,5,3,2,1],[6,5,3,2,1]] => [6,5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[[.,[[[[.,.],.],.],.]],.],.] => 0
[[4,4,4,4],[3,3,3]] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[[5,5,5,4],[4,4,4]] => [4,4,4] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[[5,5,4,4],[4,4,3]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => 0
[[6,6,5,4],[5,5,4]] => [5,5,4] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => 0
[[5,4,4,4],[4,3,3]] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] => 0
[[6,5,5,4],[5,4,4]] => [5,4,4] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => 0
[[6,5,4,4],[5,4,3]] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,.]]],.],.],.] => 0
[[7,6,5,4],[6,5,4]] => [6,5,4] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 0
[[3,3,3,3,1],[2,2,2]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => 0
[[4,4,4,4,1],[3,3,3,1]] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[.,[.,.]]] => 0
[[4,4,4,3,1],[3,3,3]] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[[5,5,5,4,1],[4,4,4,1]] => [4,4,4,1] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => 1
[[4,4,3,3,1],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[5,5,4,4,1],[4,4,3,1]] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,.],.]],.],[.,.]] => 0
[[5,5,4,3,1],[4,4,3]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => 0
[[6,6,5,4,1],[5,5,4,1]] => [5,5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[[.,.],.]]],.],[.,.]] => 1
[[4,3,3,3,1],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[5,4,4,4,1],[4,3,3,1]] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] => 0
[[5,4,4,3,1],[4,3,3]] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] => 0
[[6,5,5,4,1],[5,4,4,1]] => [5,4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[[.,.],.]]],[[.,.],.]] => 1
[[5,4,3,3,1],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[6,5,4,4,1],[5,4,3,1]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,.],.]],.],.],.] => 0
[[6,5,4,3,1],[5,4,3]] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[.,.]]],.],.],.] => 0
[[7,6,5,4,1],[6,5,4,1]] => [6,5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[[[.,[.,[[.,.],.]]],.],.],.] => 1
[[2,2,2,2,2],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[4,4,4,4,2],[3,3,3,2]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[.,[.,.]]] => 0
[[3,3,3,2,2],[2,2,2]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => 0
[[4,4,4,3,2],[3,3,3,1]] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[.,[.,.]]] => 0
[[5,5,5,4,2],[4,4,4,2]] => [4,4,4,2] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => 0
[[3,3,2,2,2],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,4,3,3,2],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[5,5,4,4,2],[4,4,3,2]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,.]],.],.],[.,.]] => 0
[[4,4,3,2,2],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[5,5,4,3,2],[4,4,3,1]] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,.],.]],.],[.,.]] => 0
[[6,6,5,4,2],[5,5,4,2]] => [5,5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,[.,.]],.]],.],[.,.]] => 0
[[3,2,2,2,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,3,3,3,2],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[5,4,4,4,2],[4,3,3,2]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => 0
[[4,3,3,2,2],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[5,4,4,3,2],[4,3,3,1]] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] => 0
[[6,5,5,4,2],[5,4,4,2]] => [5,4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,[.,.]],.]],[[.,.],.]] => 0
[[4,3,2,2,2],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,4,3,3,2],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[6,5,4,4,2],[5,4,3,2]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,.]],.],.],.],.] => 0
[[5,4,3,2,2],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[6,5,4,3,2],[5,4,3,1]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,.],.]],.],.],.] => 0
[[7,6,5,4,2],[6,5,4,2]] => [6,5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,[.,.]],.]],.],.],.] => 0
[[2,2,2,2,1,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[3,3,3,3,2,1],[2,2,2,1,1]] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [[.,.],[[.,.],[.,[.,.]]]] => 0
[[3,3,3,3,1,1],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[4,4,4,4,2,1],[3,3,3,2,1]] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,.],.],.],[.,[.,.]]] => 0
[[3,3,3,2,1,1],[2,2,2]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => 0
[[4,4,4,3,2,1],[3,3,3,1,1]] => [3,3,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[[.,.],[.,.]],[.,[.,.]]] => 0
[[4,4,4,3,1,1],[3,3,3,1]] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[.,[.,.]]] => 0
[[5,5,5,4,2,1],[4,4,4,2,1]] => [4,4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[[.,.],.],.]],[.,[.,.]]] => 0
[[3,3,2,2,1,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,4,3,3,2,1],[3,3,2,1,1]] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [[.,.],[[[.,.],.],[.,.]]] => 0
[[4,4,3,3,1,1],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[5,5,4,4,2,1],[4,4,3,2,1]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,.],.],.],.],[.,.]] => 0
[[4,4,3,2,1,1],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[5,5,4,3,2,1],[4,4,3,1,1]] => [4,4,3,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [[[[.,.],[.,.]],.],[.,.]] => 0
[[5,5,4,3,1,1],[4,4,3,1]] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,.],.]],.],[.,.]] => 0
[[6,6,5,4,2,1],[5,5,4,2,1]] => [5,5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[[[.,.],.],.]],.],[.,.]] => 0
[[3,2,2,2,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,3,3,3,2,1],[3,2,2,1,1]] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [[.,.],[[.,.],[[.,.],.]]] => 1
[[4,3,3,3,1,1],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[5,4,4,4,2,1],[4,3,3,2,1]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => 0
[[4,3,3,2,1,1],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[5,4,4,3,2,1],[4,3,3,1,1]] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [[[.,.],[.,.]],[[.,.],.]] => 0
[[5,4,4,3,1,1],[4,3,3,1]] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] => 0
[[6,5,5,4,2,1],[5,4,4,2,1]] => [5,4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],[[.,.],.]] => 0
[[4,3,2,2,1,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,4,3,3,2,1],[4,3,2,1,1]] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,.],.],.],.]] => 0
[[5,4,3,3,1,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[6,5,4,4,2,1],[5,4,3,2,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],.] => 0
[[5,4,3,2,1,1],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[6,5,4,3,2,1],[5,4,3,1,1]] => [5,4,3,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [[[[[.,.],[.,.]],.],.],.] => 0
[[6,5,4,3,1,1],[5,4,3,1]] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[.,.],.]],.],.],.] => 0
[[7,6,5,4,2,1],[6,5,4,2,1]] => [6,5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[[[.,[[[.,.],.],.]],.],.],.] => 0
[[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[.,[.,.]],[.,[.,[.,.]]]] => 0
[[4,4,4,4,3],[3,3,3,3]] => [3,3,3,3] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[[4,4,4,3,3],[3,3,3,2]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[.,[.,.]]] => 0
[[5,5,5,4,3],[4,4,4,3]] => [4,4,4,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => 0
[[4,4,3,3,3],[3,3,2,2]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[.,.]],[[.,.],[.,.]]] => 0
[[5,5,4,4,3],[4,4,3,3]] => [4,4,3,3] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 0
[[5,5,4,3,3],[4,4,3,2]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,.]],.],.],[.,.]] => 0
[[6,6,5,4,3],[5,5,4,3]] => [5,5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,[.,.]]],.],.],[.,.]] => 0
[[4,3,3,3,3],[3,2,2,2]] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,[[.,.],.]]] => 1
[[5,4,4,4,3],[4,3,3,3]] => [4,3,3,3] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => 1
[[5,4,4,3,3],[4,3,3,2]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => 0
[[6,5,5,4,3],[5,4,4,3]] => [5,4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,[.,.]]],.],[[.,.],.]] => 0
[[5,4,3,3,3],[4,3,2,2]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,.]],[[[.,.],.],.]] => 0
[[6,5,4,4,3],[5,4,3,3]] => [5,4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[.,[.,[.,.]]],[[[.,.],.],.]] => 0
[[6,5,4,3,3],[5,4,3,2]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,.]],.],.],.],.] => 0
[[7,6,5,4,3],[6,5,4,3]] => [6,5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,[.,.]]],.],.],.],.] => 0
[[2,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => 0
[[3,3,3,3,3,1],[2,2,2,2,1]] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[.,[.,[.,.]]]] => 0
[[3,3,3,3,2,1],[2,2,2,2]] => [2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[.,[.,.]],[.,[.,[.,.]]]] => 0
[[4,4,4,4,3,1],[3,3,3,3,1]] => [3,3,3,3,1] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => 0
[[3,3,3,2,2,1],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[4,4,4,3,3,1],[3,3,3,2,1]] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,.],.],.],[.,[.,.]]] => 0
[[4,4,4,3,2,1],[3,3,3,2]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[.,[.,.]]] => 0
[[5,5,5,4,3,1],[4,4,4,3,1]] => [4,4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[[.,.],.]],.],[.,[.,.]]] => 0
[[3,3,2,2,2,1],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[4,4,3,3,3,1],[3,3,2,2,1]] => [3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] => 0
[[4,4,3,3,2,1],[3,3,2,2]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[.,.]],[[.,.],[.,.]]] => 0
[[5,5,4,4,3,1],[4,4,3,3,1]] => [4,4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[.,[[.,.],.]],[[.,.],[.,.]]] => 0
[[4,4,3,2,2,1],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[5,5,4,3,3,1],[4,4,3,2,1]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,.],.],.],.],[.,.]] => 0
[[5,5,4,3,2,1],[4,4,3,2]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,.]],.],.],[.,.]] => 0
[[6,6,5,4,3,1],[5,5,4,3,1]] => [5,5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[[.,.],.]],.],.],[.,.]] => 0
[[3,2,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[4,3,3,3,3,1],[3,2,2,2,1]] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[.,[[.,.],.]]] => 1
[[4,3,3,3,2,1],[3,2,2,2]] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,[[.,.],.]]] => 1
[[5,4,4,4,3,1],[4,3,3,3,1]] => [4,3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[.,[[.,.],.]],[.,[[.,.],.]]] => 1
[[4,3,3,2,2,1],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[5,4,4,3,3,1],[4,3,3,2,1]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => 0
[[5,4,4,3,2,1],[4,3,3,2]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => 0
[[6,5,5,4,3,1],[5,4,4,3,1]] => [5,4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[[.,[[.,.],.]],.],[[.,.],.]] => 0
[[4,3,2,2,2,1],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[5,4,3,3,3,1],[4,3,2,2,1]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] => 0
[[5,4,3,3,2,1],[4,3,2,2]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,.]],[[[.,.],.],.]] => 0
[[6,5,4,4,3,1],[5,4,3,3,1]] => [5,4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[.,[[.,.],.]],[[[.,.],.],.]] => 0
[[5,4,3,2,2,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[6,5,4,3,3,1],[5,4,3,2,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],.] => 0
[[6,5,4,3,2,1],[5,4,3,2]] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[.,.]],.],.],.],.] => 0
[[7,6,5,4,3,1],[6,5,4,3,1]] => [6,5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[[[[.,[[.,.],.]],.],.],.],.] => 0
[[2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,.]]]]] => 0
[[3,3,3,3,3,2],[2,2,2,2,2]] => [2,2,2,2,2] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[[3,3,3,3,2,2],[2,2,2,2,1]] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[.,[.,[.,.]]]] => 0
[[4,4,4,4,3,2],[3,3,3,3,2]] => [3,3,3,3,2] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 0
[[3,3,3,2,2,2],[2,2,2,1,1]] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [[.,.],[[.,.],[.,[.,.]]]] => 0
[[4,4,4,3,3,2],[3,3,3,2,2]] => [3,3,3,2,2] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 0
[[4,4,4,3,2,2],[3,3,3,2,1]] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,.],.],.],[.,[.,.]]] => 0
[[5,5,5,4,3,2],[4,4,4,3,2]] => [4,4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,[.,.]],.],.],[.,[.,.]]] => 0
[[3,3,2,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[[4,4,3,3,3,2],[3,3,2,2,2]] => [3,3,2,2,2] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 1
[[4,4,3,3,2,2],[3,3,2,2,1]] => [3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] => 0
[[5,5,4,4,3,2],[4,4,3,3,2]] => [4,4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[[.,[.,.]],.],[[.,.],[.,.]]] => 0
[[4,4,3,2,2,2],[3,3,2,1,1]] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [[.,.],[[[.,.],.],[.,.]]] => 0
[[5,5,4,3,3,2],[4,4,3,2,2]] => [4,4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[.,[.,.]],[[[.,.],.],[.,.]]] => 0
[[5,5,4,3,2,2],[4,4,3,2,1]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,.],.],.],.],[.,.]] => 0
[[6,6,5,4,3,2],[5,5,4,3,2]] => [5,5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,[.,.]],.],.],.],[.,.]] => 0
[[3,2,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[.,.],.]]]] => 1
[[4,3,3,3,3,2],[3,2,2,2,2]] => [3,2,2,2,2] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 1
[[4,3,3,3,2,2],[3,2,2,2,1]] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[.,[[.,.],.]]] => 1
[[5,4,4,4,3,2],[4,3,3,3,2]] => [4,3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],[.,[[.,.],.]]] => 1
[[4,3,3,2,2,2],[3,2,2,1,1]] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [[.,.],[[.,.],[[.,.],.]]] => 1
[[5,4,4,3,3,2],[4,3,3,2,2]] => [4,3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [[.,[.,.]],[[.,.],[[.,.],.]]] => 1
[[5,4,4,3,2,2],[4,3,3,2,1]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => 0
[[6,5,5,4,3,2],[5,4,4,3,2]] => [5,4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,[.,.]],.],.],[[.,.],.]] => 0
[[4,3,2,2,2,2],[3,2,1,1,1]] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,.],.],.]]] => 1
[[5,4,3,3,3,2],[4,3,2,2,2]] => [4,3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[.,[.,.]],[.,[[[.,.],.],.]]] => 1
[[5,4,3,3,2,2],[4,3,2,2,1]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] => 0
[[6,5,4,4,3,2],[5,4,3,3,2]] => [5,4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[[.,[.,.]],.],[[[.,.],.],.]] => 0
[[5,4,3,2,2,2],[4,3,2,1,1]] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,.],.],.],.]] => 0
[[6,5,4,3,3,2],[5,4,3,2,2]] => [5,4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[.,[.,.]],[[[[.,.],.],.],.]] => 0
[[6,5,4,3,2,2],[5,4,3,2,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],.] => 0
[[7,6,5,4,3,2],[6,5,4,3,2]] => [6,5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,[.,.]],.],.],.],.],.] => 0
[[2,2,2,2,2,2,1],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 0
[[2,2,2,2,2,1,1],[1,1,1,1,1]] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,.]]]]] => 0
[[3,3,3,3,3,2,1],[2,2,2,2,2,1]] => [2,2,2,2,2,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 0
[[2,2,2,2,1,1,1],[1,1,1,1]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => 0
[[3,3,3,3,2,2,1],[2,2,2,2,1,1]] => [2,2,2,2,1,1] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 0
[[3,3,3,3,2,1,1],[2,2,2,2,1]] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[.,[.,[.,.]]]] => 0
[[4,4,4,4,3,2,1],[3,3,3,3,2,1]] => [3,3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 0
[[2,2,2,1,1,1,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[3,3,3,2,2,2,1],[2,2,2,1,1,1]] => [2,2,2,1,1,1] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 1
[[3,3,3,2,2,1,1],[2,2,2,1,1]] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [[.,.],[[.,.],[.,[.,.]]]] => 0
[[4,4,4,3,3,2,1],[3,3,3,2,2,1]] => [3,3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 0
[[3,3,3,2,1,1,1],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[4,4,4,3,2,2,1],[3,3,3,2,1,1]] => [3,3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 0
[[4,4,4,3,2,1,1],[3,3,3,2,1]] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[[[.,.],.],.],[.,[.,.]]] => 0
[[5,5,5,4,3,2,1],[4,4,4,3,2,1]] => [4,4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[[[[.,.],.],.],.],[.,[.,.]]] => 0
[[2,2,1,1,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,2,2,2,2,1],[2,2,1,1,1,1]] => [2,2,1,1,1,1] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 1
[[3,3,2,2,2,1,1],[2,2,1,1,1]] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[[4,4,3,3,3,2,1],[3,3,2,2,2,1]] => [3,3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 1
[[3,3,2,2,1,1,1],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[4,4,3,3,2,2,1],[3,3,2,2,1,1]] => [3,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 1
[[4,4,3,3,2,1,1],[3,3,2,2,1]] => [3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] => 0
[[5,5,4,4,3,2,1],[4,4,3,3,2,1]] => [4,4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[[[.,.],.],.],[[.,.],[.,.]]] => 0
[[3,3,2,1,1,1,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,4,3,2,2,2,1],[3,3,2,1,1,1]] => [3,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[.,.],[.,[[[.,.],.],[.,.]]]] => 1
[[4,4,3,2,2,1,1],[3,3,2,1,1]] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [[.,.],[[[.,.],.],[.,.]]] => 0
[[5,5,4,3,3,2,1],[4,4,3,2,2,1]] => [4,4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[[.,.],.],[[[.,.],.],[.,.]]] => 0
[[4,4,3,2,1,1,1],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[5,5,4,3,2,2,1],[4,4,3,2,1,1]] => [4,4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[.,.],[[[[.,.],.],.],[.,.]]] => 0
[[5,5,4,3,2,1,1],[4,4,3,2,1]] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[.,.],.],.],.],[.,.]] => 0
[[6,6,5,4,3,2,1],[5,5,4,3,2,1]] => [5,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[[[[[.,.],.],.],.],.],[.,.]] => 0
[[2,1,1,1,1,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,2,2,2,2,2,1],[2,1,1,1,1,1]] => [2,1,1,1,1,1] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => 1
[[3,2,2,2,2,1,1],[2,1,1,1,1]] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[.,.],.]]]] => 1
[[4,3,3,3,3,2,1],[3,2,2,2,2,1]] => [3,2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[[.,.],.],[.,[.,[[.,.],.]]]] => 1
[[3,2,2,2,1,1,1],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[4,3,3,3,2,2,1],[3,2,2,2,1,1]] => [3,2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 1
[[4,3,3,3,2,1,1],[3,2,2,2,1]] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[[.,.],.],[.,[[.,.],.]]] => 1
[[5,4,4,4,3,2,1],[4,3,3,3,2,1]] => [4,3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [[[[.,.],.],.],[.,[[.,.],.]]] => 1
[[3,2,2,1,1,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,3,3,2,2,2,1],[3,2,2,1,1,1]] => [3,2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[.,.],[.,[[.,.],[[.,.],.]]]] => 2
[[4,3,3,2,2,1,1],[3,2,2,1,1]] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [[.,.],[[.,.],[[.,.],.]]] => 1
[[5,4,4,3,3,2,1],[4,3,3,2,2,1]] => [4,3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[[.,.],.],[[.,.],[[.,.],.]]] => 1
[[4,3,3,2,1,1,1],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[5,4,4,3,2,2,1],[4,3,3,2,1,1]] => [4,3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[.,.],[[[.,.],.],[[.,.],.]]] => 1
[[5,4,4,3,2,1,1],[4,3,3,2,1]] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => 0
[[6,5,5,4,3,2,1],[5,4,4,3,2,1]] => [5,4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[[[[.,.],.],.],.],[[.,.],.]] => 0
[[3,2,1,1,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,2,2,2,2,1],[3,2,1,1,1,1]] => [3,2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[[.,.],.],.]]]] => 1
[[4,3,2,2,2,1,1],[3,2,1,1,1]] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[.,.],.],.]]] => 1
[[5,4,3,3,3,2,1],[4,3,2,2,2,1]] => [4,3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[[.,.],.],[.,[[[.,.],.],.]]] => 1
[[4,3,2,2,1,1,1],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[5,4,3,3,2,2,1],[4,3,2,2,1,1]] => [4,3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[.,.],[[.,.],[[[.,.],.],.]]] => 1
[[5,4,3,3,2,1,1],[4,3,2,2,1]] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] => 0
[[6,5,4,4,3,2,1],[5,4,3,3,2,1]] => [5,4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[[[.,.],.],.],[[[.,.],.],.]] => 0
[[4,3,2,1,1,1,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,4,3,2,2,2,1],[4,3,2,1,1,1]] => [4,3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[.,.],[.,[[[[.,.],.],.],.]]] => 1
[[5,4,3,2,2,1,1],[4,3,2,1,1]] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,.],.],.],.]] => 0
[[6,5,4,3,3,2,1],[5,4,3,2,2,1]] => [5,4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[[.,.],.],[[[[.,.],.],.],.]] => 0
[[5,4,3,2,1,1,1],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[6,5,4,3,2,2,1],[5,4,3,2,1,1]] => [5,4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[.,.],[[[[[.,.],.],.],.],.]] => 0
[[6,5,4,3,2,1,1],[5,4,3,2,1]] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[.,.],.],.],.],.],.] => 0
[[7,6,5,4,3,2,1],[6,5,4,3,2,1]] => [6,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[[[[[[.,.],.],.],.],.],.],.] => 0
[[2,2,1,1,1,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[2,2,2,1,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,2,1,1,1,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[2,2,2,2,1,1,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[3,2,2,1,1,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,2,1,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,1,1,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[2,2,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => 0
[[3,2,2,2,1,1],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[3,3,2,2,1,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,3,2,1,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,4,2,1,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[4,3,3,1,1],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,4,3,1,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,3,1,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[2,2,2,2,2,2,1],[1,1,1,1,1]] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,.]]]]] => 0
[[3,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => 0
[[3,3,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[3,3,3,2,2,1],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[4,3,2,2,1],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,4,2,2,1],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[3,3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[4,3,3,2,1],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,4,3,2,1],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,3,2,1],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,4,4,2,1],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[5,4,2,1],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[4,3,3,3,1],[2,2,2]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => 0
[[4,4,3,3,1],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[5,3,3,1],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,4,4,3,1],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[5,4,3,1],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,5,3,1],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[4,4,4,4,1],[3,3,3]] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[[5,4,4,1],[3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => 0
[[5,5,4,1],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[6,4,1],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 0
[[3,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,.]]]]] => 0
[[3,3,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[.,.],[.,[.,[[.,.],.]]]] => 1
[[3,3,3,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[.,.],[.,[[.,.],[.,.]]]] => 1
[[4,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[4,4,2,2,2],[3,1,1,1]] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [[.,.],[[.,[.,.]],.]] => 0
[[3,3,3,3,2,2],[2,2,2,1,1]] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [[.,.],[[.,.],[.,[.,.]]]] => 0
[[4,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[5,3,2,2],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,4,4,2,2],[3,3,1,1]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[.,.]] => 0
[[5,4,2,2],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[.,[.,[.,.]]]] => 0
[[4,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[5,3,3,2],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[5,4,3,2],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,5,3,2],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[.,[.,.]]] => 0
[[5,4,4,2],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[5,5,4,2],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[6,4,2],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,5,5,2],[4,4,1]] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[.,.]] => 1
[[6,5,2],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 0
[[4,4,3,3,3],[3,2,2,2]] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,[[.,.],.]]] => 1
[[5,3,3,3],[2,2,2]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => 0
[[4,4,4,3,3],[3,3,2,2]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[.,.]],[[.,.],[.,.]]] => 0
[[5,4,3,3],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[5,5,3,3],[4,2,2]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[[.,[.,.]],[.,.]],.] => 0
[[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[.,[.,.]]] => 0
[[5,4,4,3],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[5,5,4,3],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[6,4,3],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,5,5,3],[4,4,2]] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[.,.]] => 0
[[6,5,3],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[6,6,3],[5,2]] => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [[.,[.,[[.,[.,.]],.]]],.] => 1
[[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 0
[[5,4,4,4],[3,3,3]] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[[5,5,4,4],[4,3,3]] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] => 0
[[6,4,4],[3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => 0
[[5,5,5,4],[4,4,3]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => 0
[[6,5,4],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[6,6,4],[5,3]] => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],.]],.] => 0
[[7,4],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,5,5,5],[4,4,4]] => [4,4,4] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 0
[[6,6,6],[5,5]] => [5,5] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => 0
[[7,7],[6]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => 0
[[3,3,3],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,2,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[2,2,2,2,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[3,3,3,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,2],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[4,4,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,4],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[5,5],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[3,3,3,3],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,3,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,3,3],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[4,4,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,4],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,4],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,5],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[3,3,3,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[2,2,2,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,2,2,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,2,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[3,3,2,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[2,2,2,2,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[3,3,3,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,3],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,3,3],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,3],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[4,4,3],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[3,3,3,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,3],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,3],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[4,4,4],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,4],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,3],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[3,3,3,3],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4,1],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,3,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4,1],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,4,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,3,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4,2],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[6,6],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[5,5,5],[4,3]] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => 0
[[6,5],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,5,5],[3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => 0
[[6,6],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[4,4,4,4],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[6,4],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,5,4],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[4,4,4,4],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[5,4,4],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,4,4,4],[2,2,2]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => 0
[[5,5,4],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[5,5,5],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[6,5],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,5,5],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[6,6],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,5,5],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[3,3,3,3,3],[2,2,2,1]] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [[[.,.],.],[.,[.,.]]] => 0
[[6,3],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,5,3],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,4,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,4,4,3],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[5,5,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[3,3,3,3,3],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[5,3,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,3,3],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[3,3,3,3,3],[2,1,1,1]] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [[.,.],[.,[[.,.],.]]] => 1
[[4,3,3,3],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[3,3,3,3,3],[1,1,1,1]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => 0
[[4,4,3,3],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[5,4,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,4,3],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[5,5,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,4,3],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[4,4,4,4],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[6,4],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,5,4],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[4,4,4,4],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,4,4],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,4,4,4],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[5,5,4],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,5,5],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[6,5],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,5,5],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[6,6],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,5,5],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,4,4,4],[3,1,1]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[[.,.],[.,.]],.] => 0
[[5,4,4],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,4,4],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[5,5,4],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,4,4],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[5,5,5],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[2,2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => 0
[[5,5,2],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,4,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,4,2],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[5,5,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,3,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,3,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,3,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,3,3,2],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[4,4,3,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[5,4,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4,2],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,5,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[2,2,2,2,2,2],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[4,4,2,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,3,2,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,2,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[2,2,2,2,2,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,2,2,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,2,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,3,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,3,3,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,3,2],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,3,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4,2],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[4,4,4,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,4,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,3,2],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[3,3,3,3,2],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,3,3],[2,2,2]] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [[.,[.,.]],[.,[.,.]]] => 0
[[5,5,3],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,4,3],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,4,3],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[5,5,3],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[3,3,3,3,3],[2,2,1]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[[.,.],.],[.,.]] => 0
[[5,3,3],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,3,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[3,3,3,3,3],[2,1,1]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[.,.],[[.,.],.]] => 0
[[4,3,3,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[3,3,3,3,3],[1,1,1]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[.,.],[.,[.,.]]] => 0
[[4,4,3,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,4,3],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,4,3],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,5,3],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,4,4],[3,3]] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [[.,[.,[.,.]]],[.,.]] => 0
[[5,5,4],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[4,4,4,4],[3,2]] => [3,2] => [1,1,0,0,1,0,1,0] => [[[.,[.,.]],.],.] => 0
[[5,4,4],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,4,4],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[5,5,4],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[5,5,5],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[5,5,5],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,5,5],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,4,4],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,4,4],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4,4],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[5,5,4],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4,4],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[5,5,5],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,3,3],[2,2]] => [2,2] => [1,1,0,0,1,1,0,0] => [[.,[.,.]],[.,.]] => 0
[[4,3,3,3],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,3,3],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[4,4,3,3],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[3,3,3,3,3],[2,1]] => [2,1] => [1,0,1,0,1,0] => [[[.,.],.],.] => 0
[[4,3,3,3],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,3,3],[1,1]] => [1,1] => [1,0,1,1,0,0] => [[.,.],[.,.]] => 0
[[4,4,3,3],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4,3],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[4,4,4,3],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,4,3],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[3,3,3,3,3],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[3,3,3,3,3],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4,4],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[4,4,4,4],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,4,4],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[5,5,5,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[4,4,4,4,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
[[7,7],[5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],.] => 0
[[6,6,6],[5,4]] => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],.] => 0
[[6,6,6],[4,4]] => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[.,[.,[.,[.,.]]]],[.,.]] => 0
[[7,7],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[5,5,5,5],[4,4,3]] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => 0
[[5,5,5,5],[4,3,3]] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] => 0
[[5,5,5,5],[3,3,3]] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[[6,6,6],[5,3]] => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [[.,[[.,[.,[.,.]]],.]],.] => 0
[[4,4,4,4,4],[3,3,3,2]] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,.]],.],[.,[.,.]]] => 0
[[4,4,4,4,4],[3,3,2,2]] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[.,.]],[[.,.],[.,.]]] => 0
[[4,4,4,4,4],[3,2,2,2]] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,[[.,.],.]]] => 1
[[5,5,5,5],[4,4,2]] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => [[.,[[.,[.,.]],.]],[.,.]] => 0
[[5,5,5,5],[4,3,2]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[[[.,[.,.]],.],.],.] => 0
[[5,5,5,5],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[6,6,6],[4,2]] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => 0
[[5,5,5,5],[4,2,2]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[[.,[.,.]],[.,.]],.] => 0
[[5,5,5,5],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[3,3,3,3,3,3],[2,2,2,2,1]] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[[.,.],.],[.,[.,[.,.]]]] => 0
[[3,3,3,3,3,3],[2,2,2,1,1]] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [[.,.],[[.,.],[.,[.,.]]]] => 0
[[4,4,4,4,4],[3,3,3,1]] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],.]],[.,[.,.]]] => 0
[[4,4,4,4,4],[3,3,2,1]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[[[.,.],.],.],[.,.]] => 0
[[4,4,4,4,4],[3,2,2,1]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[[.,.],.],[[.,.],.]] => 0
[[5,5,5,5],[4,4,1]] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [[.,[.,[[.,.],.]]],[.,.]] => 1
[[5,5,5,5],[4,3,1]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[[.,.],.]],.],.] => 0
[[5,5,5,5],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[5,5,5,5],[4,2,1]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[.,[[[.,.],.],.]],.] => 0
[[5,5,5,5],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[4,4,4,4,4],[3,3,1,1]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[[.,.],[.,.]],[.,.]] => 0
[[4,4,4,4,4],[3,2,1,1]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => 0
[[2,2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,.]]]]] => 0
[[2,2,2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [[.,.],[.,[.,[.,.]]]] => 0
[[3,3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[.,[.,.]],[.,[.,[.,.]]]] => 0
[[3,3,3,3,3,3],[2,2,1,1]] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => 0
[[4,4,4,4,4],[3,3,3]] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[.,.]]],[.,[.,.]]] => 0
[[4,4,4,4,4],[3,3,2]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[[.,[.,.]],.],[.,.]] => 0
[[4,4,4,4,4],[3,2,2]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => 0
[[4,4,4,4,4],[3,3,1]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[.,[[.,.],.]],[.,.]] => 0
[[4,4,4,4,4],[3,2,1]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[[[.,.],.],.],.] => 0
[[5,5,5,5],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[3,3,3,3,3,3],[2]] => [2] => [1,1,0,0,1,0] => [[.,[.,.]],.] => 0
[[4,4,4,4,3],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[5,5,5,4],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[4,4,4,4,4],[3,1]] => [3,1] => [1,1,0,1,0,0,1,0] => [[.,[[.,.],.]],.] => 0
[[5,5,5,5],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[4,4,4,4,4],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[8,8],[6]] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => 0
[[7,7,7],[6,5]] => [6,5] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 0
[[6,6,6,6],[5,5,4]] => [5,5,4] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => 0
[[5,5,5,5,5],[4,4,4,3]] => [4,4,4,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => 0
[[4,4,4,4,4,4],[3,3,3,3,2]] => [3,3,3,3,2] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 0
[[3,3,3,3,3,3,3],[2,2,2,2,2,1]] => [2,2,2,2,2,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 0
[[2,2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 0
[[5,5,5,5,5],[4,3,2,1]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[[[[.,.],.],.],.],.] => 0
[[5,5,5,5,5],[4,3,2,2]] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => [[.,[.,.]],[[[.,.],.],.]] => 0
[[5,5,5,5,5],[4,3,3,1]] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] => 0
[[5,5,5,5,5],[4,3,3,2]] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => 0
[[5,5,5,5,5],[4,3,3,3]] => [4,3,3,3] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => 1
[[5,5,5,5,5],[4,4,2,1]] => [4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[.,[[[.,.],.],.]],[.,.]] => 0
[[5,5,5,5,5],[4,4,2,2]] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[[.,[.,.]],[.,.]],[.,.]] => 0
[[5,5,5,5,5],[4,4,3,1]] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[[.,.],.]],.],[.,.]] => 0
[[5,5,5,5,5],[4,4,3,2]] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[[[.,[.,.]],.],.],[.,.]] => 0
[[5,5,5,5,5],[4,4,3,3]] => [4,4,3,3] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 0
[[5,5,5,5,5],[4,4,4,1]] => [4,4,4,1] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => 1
[[5,5,5,5,5],[4,4,4,2]] => [4,4,4,2] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => 0
[[5,5,5,5,5],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[5,5,5,5,5,5],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[4,4,4,4,4,4],[3]] => [3] => [1,1,1,0,0,0,1,0] => [[.,[.,[.,.]]],.] => 0
[[6,6,6,6,6,6],[5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],.] => 0
[[6,6,6,6,6],[5]] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],.] => 0
[[5,5,5,5,4],[4]] => [4] => [1,1,1,1,0,0,0,0,1,0] => [[.,[.,[.,[.,.]]]],.] => 0
[[5,5,5,5,5],[4,1]] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,[[.,.],.]]],.] => 1
[[5,5,5,5,1],[1]] => [1] => [1,0,1,0] => [[.,.],.] => 0
search for individual values
searching the database for the individual values of this statistic
Description
The number of occurrences of the contiguous pattern [.,[.,[[.,.],.]]] in a binary tree.
oeis:A086581 counts binary trees avoiding this pattern.
oeis:A086581 counts binary trees avoiding this pattern.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.
Map
to binary tree: left tree, up step, right tree, down step
Description
Return the binary tree corresponding to the Dyck path under the transformation left tree - up step - right tree - down step.
A Dyck path $D$ of semilength $n$ with $n > 1$ may be uniquely decomposed into $L 1 R 0$ for Dyck paths $L,R$ of respective semilengths $n_1,n_2$ with $n_1+n_2 = n-1$.
This map sends $D$ to the binary tree $T$ consisting of a root node with a left child according to $L$ and a right child according to $R$ and then recursively proceeds.
The base case of the unique Dyck path of semilength $1$ is sent to a single node.
This map may also be described as the unique map sending the Tamari orders on Dyck paths to the Tamari order on binary trees.
A Dyck path $D$ of semilength $n$ with $n > 1$ may be uniquely decomposed into $L 1 R 0$ for Dyck paths $L,R$ of respective semilengths $n_1,n_2$ with $n_1+n_2 = n-1$.
This map sends $D$ to the binary tree $T$ consisting of a root node with a left child according to $L$ and a right child according to $R$ and then recursively proceeds.
The base case of the unique Dyck path of semilength $1$ is sent to a single node.
This map may also be described as the unique map sending the Tamari orders on Dyck paths to the Tamari order on binary trees.
Map
inner shape
Description
The inner shape of a skew partition.
searching the database
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