Identifier
Values
[[.,[.,.]],.] => [1,1,0,0,1,0] => [[2,2],[1]] => [1] => 0
[.,[[.,[.,.]],.]] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => [1] => 0
[[.,.],[.,[.,.]]] => [1,1,1,0,0,0,1,0] => [[2,2,2],[1]] => [1] => 0
[[.,[.,[.,.]]],.] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => [1,1] => 0
[[.,[[.,.],.]],.] => [1,1,0,0,1,1,0,0] => [[3,2],[1]] => [1] => 0
[[[.,.],[.,.]],.] => [1,1,0,1,1,0,0,0] => [[3,3],[1]] => [1] => 0
[[[.,[.,.]],.],.] => [1,1,0,1,0,0,1,0] => [[3,3],[2]] => [2] => 1
[.,[.,[[.,[.,.]],.]]] => [1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1],[1]] => [1] => 0
[.,[[.,.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0] => [[2,2,2,1],[1]] => [1] => 0
[.,[[.,[.,[.,.]]],.]] => [1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1],[1,1]] => [1,1] => 0
[.,[[.,[[.,.],.]],.]] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => [1] => 0
[.,[[[.,.],[.,.]],.]] => [1,0,1,1,0,1,1,0,0,0] => [[3,3,1],[1]] => [1] => 0
[.,[[[.,[.,.]],.],.]] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => [2] => 1
[[.,.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0] => [[2,2,2,2],[1,1]] => [1,1] => 0
[[.,.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0] => [[3,2,2],[1]] => [1] => 0
[[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [[3,3,2],[1]] => [1] => 0
[[.,.],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,0] => [[3,3,2],[2]] => [2] => 1
[[.,[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0] => [[2,2,2,2],[1]] => [1] => 0
[[[.,.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0] => [[3,3,3],[2]] => [2] => 1
[[[.,[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0] => [[3,3,3],[1]] => [1] => 0
[[.,[.,[.,[.,.]]]],.] => [1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2],[1,1,1]] => [1,1,1] => 0
[[.,[.,[[.,.],.]]],.] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => [1,1] => 0
[[.,[[.,.],[.,.]]],.] => [1,1,0,0,1,1,1,0,0,0] => [[3,3,2],[1,1]] => [1,1] => 0
[[.,[[.,[.,.]],.]],.] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => [2,1] => 1
[[.,[[[.,.],.],.]],.] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => [1] => 0
[[[.,.],[.,[.,.]]],.] => [1,1,0,1,1,0,0,0,1,0] => [[3,3,3],[2,1]] => [2,1] => 1
[[[.,.],[[.,.],.]],.] => [1,1,0,1,1,0,0,1,0,0] => [[4,3],[1]] => [1] => 0
[[[.,[.,.]],[.,.]],.] => [1,1,0,1,1,0,1,0,0,0] => [[3,3,3],[1,1]] => [1,1] => 0
[[[[.,.],.],[.,.]],.] => [1,1,0,1,1,1,0,0,0,0] => [[4,4],[1]] => [1] => 0
[[[.,[.,[.,.]]],.],.] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => [2,2] => 1
[[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => [2] => 1
[[[[.,.],[.,.]],.],.] => [1,1,0,1,0,1,1,0,0,0] => [[4,4],[2]] => [2] => 1
[[[[.,[.,.]],.],.],.] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => [3] => 0
[.,[.,[.,[[.,[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1,1],[1]] => [1] => 0
[.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [[2,2,2,1,1],[1]] => [1] => 0
[.,[.,[[.,[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1,1],[1,1]] => [1,1] => 0
[.,[.,[[.,[[.,.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [[3,2,1,1],[1]] => [1] => 0
[.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [[3,3,1,1],[1]] => [1] => 0
[.,[.,[[[.,[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => [[3,3,1,1],[2]] => [2] => 1
[.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [[2,2,2,2,1],[1,1]] => [1,1] => 0
[.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[3,2,2,1],[1]] => [1] => 0
[.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [[3,3,2,1],[1]] => [1] => 0
[.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [[3,3,2,1],[2]] => [2] => 1
[.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [[2,2,2,2,1],[1]] => [1] => 0
[.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [[3,3,3,1],[2]] => [2] => 1
[.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [[3,3,3,1],[1]] => [1] => 0
[.,[[.,[.,[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2,1],[1,1,1]] => [1,1,1] => 0
[.,[[.,[.,[[.,.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [[3,2,2,1],[1,1]] => [1,1] => 0
[.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[3,3,2,1],[1,1]] => [1,1] => 0
[.,[[.,[[.,[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [[3,3,2,1],[2,1]] => [2,1] => 1
[.,[[.,[[[.,.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [[4,2,1],[1]] => [1] => 0
[.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [[3,3,3,1],[2,1]] => [2,1] => 1
[.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [[4,3,1],[1]] => [1] => 0
[.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [[3,3,3,1],[1,1]] => [1,1] => 0
[.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [[4,4,1],[1]] => [1] => 0
[.,[[[.,[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [[3,3,3,1],[2,2]] => [2,2] => 1
[.,[[[.,[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [[4,3,1],[2]] => [2] => 1
[.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [[4,4,1],[2]] => [2] => 1
[.,[[[[.,[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [[4,4,1],[3]] => [3] => 0
[[.,.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [[2,2,2,2,2],[1,1,1]] => [1,1,1] => 0
[[.,.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[3,2,2,2],[1,1]] => [1,1] => 0
[[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[3,3,2,2],[1,1]] => [1,1] => 0
[[.,.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [[3,3,2,2],[2,1]] => [2,1] => 1
[[.,.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [[4,2,2],[1]] => [1] => 0
[[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [[3,3,3,2],[2,1]] => [2,1] => 1
[[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [[4,3,2],[1]] => [1] => 0
[[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[3,3,3,2],[1,1]] => [1,1] => 0
[[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[4,4,2],[1]] => [1] => 0
[[.,.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [[3,3,3,2],[2,2]] => [2,2] => 1
[[.,.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [[4,3,2],[2]] => [2] => 1
[[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [[4,4,2],[2]] => [2] => 1
[[.,.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [[4,4,2],[3]] => [3] => 0
[[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [[2,2,2,2,2],[1,1]] => [1,1] => 0
[[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [[3,2,2,2],[1]] => [1] => 0
[[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [[3,3,2,2],[1]] => [1] => 0
[[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [[3,3,2,2],[2]] => [2] => 1
[[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [[3,3,3,3],[2,2]] => [2,2] => 1
[[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[4,3,3],[2]] => [2] => 1
[[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[4,4,3],[2]] => [2] => 1
[[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [[4,4,3],[3]] => [3] => 0
[[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [[2,2,2,2,2],[1]] => [1] => 0
[[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [[3,3,3,2],[2]] => [2] => 1
[[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [[3,3,3,3],[2,1]] => [2,1] => 1
[[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[4,3,3],[1]] => [1] => 0
[[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [[4,4,4],[3]] => [3] => 0
[[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[3,3,3,2],[1]] => [1] => 0
[[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[3,3,3,3],[2]] => [2] => 1
[[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[3,3,3,3],[1]] => [1] => 0
[[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[3,3,3,3],[1,1]] => [1,1] => 0
[[[.,[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[4,4,3],[1]] => [1] => 0
[[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[4,4,4],[1]] => [1] => 0
[[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[4,4,4],[2]] => [2] => 1
[[.,[.,[.,[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 0
[[.,[.,[.,[[.,.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[3,2,2,2],[1,1,1]] => [1,1,1] => 0
[[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[3,3,2,2],[1,1,1]] => [1,1,1] => 0
[[.,[.,[[.,[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0] => [[3,3,2,2],[2,1,1]] => [2,1,1] => 1
[[.,[.,[[[.,.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0] => [[4,2,2],[1,1]] => [1,1] => 0
[[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0] => [[3,3,3,2],[2,1,1]] => [2,1,1] => 1
[[.,[[.,.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0] => [[4,3,2],[1,1]] => [1,1] => 0
[[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[3,3,3,2],[1,1,1]] => [1,1,1] => 0
[[.,[[[.,.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[4,4,2],[1,1]] => [1,1] => 0
>>> Load all 479 entries. <<<
[[.,[[.,[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 1
[[.,[[.,[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[4,3,2],[2,1]] => [2,1] => 1
[[.,[[[.,.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[4,4,2],[2,1]] => [2,1] => 1
[[.,[[[.,[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0] => [[4,4,2],[3,1]] => [3,1] => 0
[[.,[[[[.,.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0] => [[5,2],[1]] => [1] => 0
[[[.,.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0] => [[3,3,3,3],[2,2,1]] => [2,2,1] => 1
[[[.,.],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0] => [[4,3,3],[2,1]] => [2,1] => 1
[[[.,.],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[4,4,3],[2,1]] => [2,1] => 1
[[[.,.],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0] => [[4,4,3],[3,1]] => [3,1] => 0
[[[.,.],[[[.,.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => [[5,3],[1]] => [1] => 0
[[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => [[3,3,3,3],[2,1,1]] => [2,1,1] => 1
[[[.,[.,.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [[4,3,3],[1,1]] => [1,1] => 0
[[[[.,.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => [[4,4,4],[3,1]] => [3,1] => 0
[[[[.,.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [[5,4],[1]] => [1] => 0
[[[.,[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => [[3,3,3,3],[1,1,1]] => [1,1,1] => 0
[[[.,[[.,.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[4,4,3],[1,1]] => [1,1] => 0
[[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[4,4,4],[1,1]] => [1,1] => 0
[[[[.,[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => [[4,4,4],[2,1]] => [2,1] => 1
[[[[[.,.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[5,5],[1]] => [1] => 0
[[[.,[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => [[3,3,3,3],[2,2,2]] => [2,2,2] => 1
[[[.,[.,[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[4,3,3],[2,2]] => [2,2] => 1
[[[.,[[.,.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[4,4,3],[2,2]] => [2,2] => 1
[[[.,[[.,[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0] => [[4,4,3],[3,2]] => [3,2] => 1
[[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0] => [[5,3],[2]] => [2] => 1
[[[[.,.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0] => [[4,4,4],[3,2]] => [3,2] => 1
[[[[.,.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => [[5,4],[2]] => [2] => 1
[[[[.,[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0] => [[4,4,4],[2,2]] => [2,2] => 1
[[[[[.,.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0] => [[5,5],[2]] => [2] => 1
[[[[.,[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => [[4,4,4],[3,3]] => [3,3] => 0
[[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[5,4],[3]] => [3] => 0
[[[[[.,.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[5,5],[3]] => [3] => 0
[[[[[.,[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => [[5,5],[4]] => [4] => 2
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1,1,1],[1]] => [1] => 0
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1,1,1],[1,1]] => [1,1] => 0
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[3,2,1,1,1],[1]] => [1] => 0
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[3,3,1,1,1],[2]] => [2] => 1
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2,1,1],[1,1,1]] => [1,1,1] => 0
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[3,2,2,1,1],[1,1]] => [1,1] => 0
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[3,3,2,1,1],[2,1]] => [2,1] => 1
[.,[.,[[.,[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[4,2,1,1],[1]] => [1] => 0
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[3,3,3,1,1],[2,2]] => [2,2] => 1
[.,[.,[[[.,[[.,.],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[4,3,1,1],[2]] => [2] => 1
[.,[.,[[[[.,[.,.]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[4,4,1,1],[3]] => [3] => 0
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[3,3,3,3,1],[1]] => [1] => 0
[.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[4,4,3,1],[1]] => [1] => 0
[.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[4,4,4,1],[1]] => [1] => 0
[.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[4,4,4,1],[2]] => [2] => 1
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => 0
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,1],[1,1,1]] => [1,1,1] => 0
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,1],[2,1,1]] => [2,1,1] => 1
[.,[[.,[.,[[[.,.],.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[4,2,2,1],[1,1]] => [1,1] => 0
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 1
[.,[[.,[[.,[[.,.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[4,3,2,1],[2,1]] => [2,1] => 1
[.,[[.,[[[.,[.,.]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[4,4,2,1],[3,1]] => [3,1] => 0
[.,[[.,[[[[.,.],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[5,2,1],[1]] => [1] => 0
[.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[4,4,4,1],[1,1]] => [1,1] => 0
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[3,3,3,3,1],[2,2,2]] => [2,2,2] => 1
[.,[[[.,[.,[[.,.],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[4,3,3,1],[2,2]] => [2,2] => 1
[.,[[[.,[[.,[.,.]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[4,4,3,1],[3,2]] => [3,2] => 1
[.,[[[.,[[[.,.],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[5,3,1],[2]] => [2] => 1
[.,[[[[.,[.,[.,.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[4,4,4,1],[3,3]] => [3,3] => 0
[.,[[[[.,[[.,.],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[5,4,1],[3]] => [3] => 0
[.,[[[[[.,[.,.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[5,5,1],[4]] => [4] => 2
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 0
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[4,4,3,2],[2,1]] => [2,1] => 1
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[5,3,2],[1]] => [1] => 0
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[4,3,3,2],[1,1]] => [1,1] => 0
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[5,4,2],[1]] => [1] => 0
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[3,3,3,3,2],[1,1,1]] => [1,1,1] => 0
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[4,4,3,2],[1,1]] => [1,1] => 0
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[4,4,4,2],[1,1]] => [1,1] => 0
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[4,4,4,2],[2,1]] => [2,1] => 1
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[5,5,2],[1]] => [1] => 0
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[5,4,2],[2]] => [2] => 1
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[4,4,4,2],[2,2]] => [2,2] => 1
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[5,5,2],[2]] => [2] => 1
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[5,5,2],[3]] => [3] => 0
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[2,2,2,2,2,2],[1,1,1]] => [1,1,1] => 0
[[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[4,3,2,2],[1]] => [1] => 0
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[3,3,3,2,2],[1,1]] => [1,1] => 0
[[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[4,4,2,2],[1]] => [1] => 0
[[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[4,4,2,2],[2]] => [2] => 1
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[3,3,3,3,3],[2,2,2]] => [2,2,2] => 1
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[5,4,3],[2]] => [2] => 1
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[4,4,4,3],[2,2]] => [2,2] => 1
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[5,5,3],[2]] => [2] => 1
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[5,5,3],[3]] => [3] => 0
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[2,2,2,2,2,2],[1,1]] => [1,1] => 0
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[3,3,2,2,2],[1]] => [1] => 0
[[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[4,4,3,2],[2]] => [2] => 1
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[4,4,4,4],[1]] => [1] => 0
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[3,3,3,3,3],[2,2,1]] => [2,2,1] => 1
[[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[4,4,3,3],[2,1]] => [2,1] => 1
[[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[5,3,3],[1]] => [1] => 0
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[4,4,4,4],[3,3]] => [3,3] => 0
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[5,5,4],[3]] => [3] => 0
[[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[4,3,3,2],[1]] => [1] => 0
[[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[4,4,4,2],[3]] => [3] => 0
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[3,3,3,3,3],[2]] => [2] => 1
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[4,4,4,4],[3]] => [3] => 0
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[3,3,3,3,3],[1]] => [1] => 0
[[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[4,4,4,4],[2]] => [2] => 1
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[3,3,3,3,3],[2,1,1]] => [2,1,1] => 1
[[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[4,3,3,3],[1,1]] => [1,1] => 0
[[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[4,4,4,3],[3,1]] => [3,1] => 0
[[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[5,4,3],[1]] => [1] => 0
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[4,4,4,4],[1,1]] => [1,1] => 0
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[5,5,5],[1]] => [1] => 0
[[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[4,4,4,4],[3,2]] => [3,2] => 1
[[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[5,4,4],[2]] => [2] => 1
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[5,5,5],[4]] => [4] => 2
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[3,3,3,2,2],[1]] => [1] => 0
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[3,3,3,3,2],[2]] => [2] => 1
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[3,3,3,3,2],[1]] => [1] => 0
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[3,3,3,3,2],[1,1]] => [1,1] => 0
[[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[4,4,3,2],[1]] => [1] => 0
[[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[4,4,4,2],[1]] => [1] => 0
[[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[4,4,4,2],[2]] => [2] => 1
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[3,3,3,3,3],[2,2]] => [2,2] => 1
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[4,3,3,3],[2]] => [2] => 1
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[4,4,3,3],[2]] => [2] => 1
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[4,4,3,3],[3]] => [3] => 0
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[3,3,3,3,3],[2,1]] => [2,1] => 1
[[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[4,3,3,3],[1]] => [1] => 0
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[4,4,4,3],[3]] => [3] => 0
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[3,3,3,3,3],[1,1]] => [1,1] => 0
[[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[4,4,3,3],[1]] => [1] => 0
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[4,4,4,3],[1]] => [1] => 0
[[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[4,4,4,3],[2]] => [2] => 1
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[3,3,3,3,3],[1,1,1]] => [1,1,1] => 0
[[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[4,4,3,3],[1,1]] => [1,1] => 0
[[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[4,4,4,3],[1,1]] => [1,1] => 0
[[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[4,4,4,3],[2,1]] => [2,1] => 1
[[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[5,5,3],[1]] => [1] => 0
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[4,4,4,4],[3,1]] => [3,1] => 0
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[5,4,4],[1]] => [1] => 0
[[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[4,4,4,4],[2,1]] => [2,1] => 1
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[5,5,4],[1]] => [1] => 0
[[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[4,4,4,4],[2,2]] => [2,2] => 1
[[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[5,5,4],[2]] => [2] => 1
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[5,5,5],[2]] => [2] => 1
[[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[5,5,5],[3]] => [3] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 0
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 0
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
[[.,[.,[.,[[[.,.],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[4,2,2,2],[1,1,1]] => [1,1,1] => 0
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 1
[[.,[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
[[.,[.,[[[.,[.,.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 0
[[.,[.,[[[[.,.],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[5,2,2],[1,1]] => [1,1] => 0
[[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[4,4,4,2],[1,1,1]] => [1,1,1] => 0
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 1
[[.,[[.,[.,[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 1
[[.,[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
[[.,[[.,[[[.,.],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[5,3,2],[2,1]] => [2,1] => 1
[[.,[[[.,[.,[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 0
[[.,[[[.,[[.,.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[5,4,2],[3,1]] => [3,1] => 0
[[.,[[[[.,[.,.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[5,5,2],[4,1]] => [4,1] => 2
[[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[6,2],[1]] => [1] => 0
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[3,3,3,3,3],[2,2,2,1]] => [2,2,2,1] => 1
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[5,4,3],[2,1]] => [2,1] => 1
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[4,4,4,3],[2,2,1]] => [2,2,1] => 1
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[5,5,3],[2,1]] => [2,1] => 1
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[5,5,3],[3,1]] => [3,1] => 0
[[[.,.],[[[[.,.],.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[6,3],[1]] => [1] => 0
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[3,3,3,3,3],[2,2,1,1]] => [2,2,1,1] => 1
[[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[4,4,3,3],[2,1,1]] => [2,1,1] => 1
[[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[5,3,3],[1,1]] => [1,1] => 0
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[4,4,4,4],[3,3,1]] => [3,3,1] => 0
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[5,5,4],[3,1]] => [3,1] => 0
[[[[.,.],.],[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[6,4],[1]] => [1] => 0
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[3,3,3,3,3],[2,1,1,1]] => [2,1,1,1] => 1
[[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[4,3,3,3],[1,1,1]] => [1,1,1] => 0
[[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[5,4,3],[1,1]] => [1,1] => 0
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[4,4,4,4],[1,1,1]] => [1,1,1] => 0
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[5,5,5],[1,1]] => [1,1] => 0
[[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[4,4,4,4],[3,2,1]] => [3,2,1] => 1
[[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[5,4,4],[2,1]] => [2,1] => 1
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[5,5,5],[4,1]] => [4,1] => 2
[[[[[.,.],.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[6,5],[1]] => [1] => 0
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[3,3,3,3,3],[1,1,1,1]] => [1,1,1,1] => 0
[[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[4,4,3,3],[1,1,1]] => [1,1,1] => 0
[[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[4,4,4,3],[1,1,1]] => [1,1,1] => 0
[[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[4,4,4,3],[2,1,1]] => [2,1,1] => 1
[[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[5,5,3],[1,1]] => [1,1] => 0
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[4,4,4,4],[3,1,1]] => [3,1,1] => 0
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[5,4,4],[1,1]] => [1,1] => 0
[[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[4,4,4,4],[2,1,1]] => [2,1,1] => 1
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[5,5,4],[1,1]] => [1,1] => 0
[[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[4,4,4,4],[2,2,1]] => [2,2,1] => 1
[[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[5,5,4],[2,1]] => [2,1] => 1
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[5,5,5],[2,1]] => [2,1] => 1
[[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[5,5,5],[3,1]] => [3,1] => 0
[[[[[[.,.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[6,6],[1]] => [1] => 0
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 1
[[[.,[.,[.,[[.,.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 1
[[[.,[.,[[.,[.,.]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
[[[.,[.,[[[.,.],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[5,3,3],[2,2]] => [2,2] => 1
[[[.,[[.,[.,[.,.]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 1
[[[.,[[.,[[.,.],.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[5,4,3],[3,2]] => [3,2] => 1
[[[.,[[[.,[.,.]],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[5,5,3],[4,2]] => [4,2] => 2
[[[.,[[[[.,.],.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[6,3],[2]] => [2] => 1
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[4,4,4,4],[3,3,2]] => [3,3,2] => 1
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[5,5,4],[3,2]] => [3,2] => 1
[[[[.,.],[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[6,4],[2]] => [2] => 1
[[[[.,[.,.]],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[4,4,4,4],[3,2,2]] => [3,2,2] => 1
[[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[5,4,4],[2,2]] => [2,2] => 1
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[5,5,5],[4,2]] => [4,2] => 2
[[[[[.,.],.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[6,5],[2]] => [2] => 1
[[[[.,[.,[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[4,4,4,4],[2,2,2]] => [2,2,2] => 1
[[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[5,5,4],[2,2]] => [2,2] => 1
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[5,5,5],[2,2]] => [2,2] => 1
[[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[5,5,5],[3,2]] => [3,2] => 1
[[[[[[.,.],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[6,6],[2]] => [2] => 1
[[[[.,[.,[.,[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 0
[[[[.,[.,[[.,.],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[5,4,4],[3,3]] => [3,3] => 0
[[[[.,[[.,[.,.]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[5,5,4],[4,3]] => [4,3] => 2
[[[[.,[[[.,.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[6,4],[3]] => [3] => 0
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[5,5,5],[4,3]] => [4,3] => 2
[[[[[.,.],[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[6,5],[3]] => [3] => 0
[[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[5,5,5],[3,3]] => [3,3] => 0
[[[[[[.,.],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[6,6],[3]] => [3] => 0
[[[[[.,[.,[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[5,5,5],[4,4]] => [4,4] => 2
[[[[[.,[[.,.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[6,5],[4]] => [4] => 2
[[[[[[.,.],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[6,6],[4]] => [4] => 2
[[[[[[.,[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[6,6],[5]] => [5] => 0
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1,1,1,1],[1]] => [1] => 0
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1,1,1,1],[1,1]] => [1,1] => 0
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[3,2,1,1,1,1],[1]] => [1] => 0
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2,1,1,1],[1,1,1]] => [1,1,1] => 0
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[3,2,2,1,1,1],[1,1]] => [1,1] => 0
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[3,3,2,1,1,1],[2,1]] => [2,1] => 1
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[4,3,1,1,1],[2]] => [2] => 1
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => 0
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,1,1],[1,1,1]] => [1,1,1] => 0
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,1,1],[2,1,1]] => [2,1,1] => 1
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => 1
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[4,3,2,1,1],[2,1]] => [2,1] => 1
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[4,4,2,1,1],[3,1]] => [3,1] => 0
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[4,3,3,1,1],[2,2]] => [2,2] => 1
[.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[4,4,3,1,1],[3,2]] => [3,2] => 1
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[5,3,1,1],[2]] => [2] => 1
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[4,4,4,4,1],[1]] => [1] => 0
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[5,5,5,1],[1]] => [1] => 0
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2,1],[1,1,1,1,1]] => [1,1,1,1,1] => 0
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => 0
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => 1
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,2,1],[2,2,1,1]] => [2,2,1,1] => 1
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[4,3,2,2,1],[2,1,1]] => [2,1,1] => 1
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[4,4,2,2,1],[3,1,1]] => [3,1,1] => 0
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[3,3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => 1
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[4,3,3,2,1],[2,2,1]] => [2,2,1] => 1
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[5,3,2,1],[2,1]] => [2,1] => 1
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 0
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[5,4,2,1],[3,1]] => [3,1] => 0
[.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[4,3,3,3,1],[2,2,2]] => [2,2,2] => 1
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 1
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[5,3,3,1],[2,2]] => [2,2] => 1
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 1
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[5,4,3,1],[3,2]] => [3,2] => 1
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[5,5,3,1],[4,2]] => [4,2] => 2
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[4,4,4,4,1],[3,3,3]] => [3,3,3] => 0
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[5,4,4,1],[3,3]] => [3,3] => 0
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[5,5,4,1],[4,3]] => [4,3] => 2
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[6,4,1],[3]] => [3] => 0
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 0
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 0
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[3,3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 1
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[4,4,4,4,4],[3]] => [3] => 0
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [[4,4,4,4,4],[3,3,3]] => [3,3,3] => 0
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[3,3,3,3,3,3],[2]] => [2] => 1
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [[4,4,4,4,3],[3]] => [3] => 0
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [[4,4,4,4,4],[3,1]] => [3,1] => 0
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[5,5,5,5],[4]] => [4] => 2
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [[3,3,3,3,3,3],[2,2,1,1]] => [2,2,1,1] => 1
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [[4,4,4,4,4],[3,3,2]] => [3,3,2] => 1
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [[5,5,5,4],[4]] => [4] => 2
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [[5,5,5,5],[4,1]] => [4,1] => 2
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [[4,4,4,4,4],[3,2,2]] => [3,2,2] => 1
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [[4,4,4,4,4],[3,3,1]] => [3,3,1] => 0
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [[4,4,4,4,4],[3,2,1]] => [3,2,1] => 1
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => 0
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[3,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 0
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[3,3,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => 1
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[3,3,3,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => 1
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[4,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[4,4,2,2,2],[3,1,1,1]] => [3,1,1,1] => 0
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[3,3,3,3,2,2],[2,2,2,1,1]] => [2,2,2,1,1] => 1
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[4,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 1
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => 1
[[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[4,4,4,2,2],[3,3,1,1]] => [3,3,1,1] => 0
[[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 0
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 1
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[4,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 1
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
[[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 1
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 1
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 2
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 0
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 0
[[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 2
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[6,4,2],[3,1]] => [3,1] => 0
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[6,5,2],[4,1]] => [4,1] => 2
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[3,3,3,3,3,3],[2,2,2,2,1]] => [2,2,2,2,1] => 1
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[3,3,3,3,3,3],[2,2,2,1,1]] => [2,2,2,1,1] => 1
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[4,4,4,4,4],[3,3,3,1]] => [3,3,3,1] => 0
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[4,4,4,4,4],[3,3,2,1]] => [3,3,2,1] => 1
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[5,5,5,5],[4,4,1]] => [4,4,1] => 2
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[4,4,4,4,4],[3,2,2,1]] => [3,2,2,1] => 1
[[[[[.,[.,.]],.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[5,5,5,5],[4,3,1]] => [4,3,1] => 2
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[4,4,4,4,4],[3,3,1,1]] => [3,3,1,1] => 0
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[4,4,4,4,4],[3,2,1,1]] => [3,2,1,1] => 1
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[5,5,5,5],[4,2,1]] => [4,2,1] => 2
[[[[[.,[.,.]],[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[5,5,5,5],[3,2,1]] => [3,2,1] => 1
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[5,5,5,5],[3,3,1]] => [3,3,1] => 0
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 1
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[4,4,3,3,3],[3,2,2,2]] => [3,2,2,2] => 1
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 1
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[4,4,4,3,3],[3,3,2,2]] => [3,3,2,2] => 1
[[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 2
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 1
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 1
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 2
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[6,4,3],[3,2]] => [3,2] => 1
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[6,5,3],[4,2]] => [4,2] => 2
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[6,6,3],[5,2]] => [5,2] => 1
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[4,4,4,4,4],[3,3,3,2]] => [3,3,3,2] => 1
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[4,4,4,4,4],[3,3,2,2]] => [3,3,2,2] => 1
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[5,5,5,5],[4,4,2]] => [4,4,2] => 2
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[4,4,4,4,4],[3,2,2,2]] => [3,2,2,2] => 1
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[5,5,5,5],[4,3,2]] => [4,3,2] => 2
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[5,5,5,5],[4,2,2]] => [4,2,2] => 2
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[5,5,5,5],[3,2,2]] => [3,2,2] => 1
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[5,5,5,5],[3,3,2]] => [3,3,2] => 1
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[6,6,6],[4,2]] => [4,2] => 2
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 0
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 0
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 2
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[6,4,4],[3,3]] => [3,3] => 0
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[6,5,4],[4,3]] => [4,3] => 2
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[6,6,4],[5,3]] => [5,3] => 0
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[7,4],[3]] => [3] => 0
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[5,5,5,5],[4,4,3]] => [4,4,3] => 2
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[5,5,5,5],[4,3,3]] => [4,3,3] => 2
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[6,6,6],[5,3]] => [5,3] => 0
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[5,5,5,5],[3,3,3]] => [3,3,3] => 0
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 2
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[6,6,6],[5,4]] => [5,4] => 2
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[6,6,6],[4,4]] => [4,4] => 2
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[7,7],[4]] => [4] => 2
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[6,6,6],[5,5]] => [5,5] => 0
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[7,7],[5]] => [5] => 0
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[7,7],[6]] => [6] => 3
[[[[.,.],.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[5,5,5,5,5],[4]] => [4] => 2
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1] => 0
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[3,3,3,3,3,3,3],[2,2,2,2,2,1]] => [2,2,2,2,2,1] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1,1] => 0
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[2,2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => 0
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 1
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[4,4,4,4,4,4],[3,3,3,3,3]] => [3,3,3,3,3] => 0
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[5,5,5,5,5],[4,4,4,4]] => [4,4,4,4] => 2
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[6,6,6,6],[5,5,5]] => [5,5,5] => 0
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[7,7,7],[6,6]] => [6,6] => 3
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[8,8],[7]] => [7] => 0
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[3,3,3,3,3,3,3,3],[2,2,2,2,2,2,2]] => [2,2,2,2,2,2,2] => 1
[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[5,5,5,5,5],[4,4,4,3]] => [4,4,4,3] => 2
[[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[6,6,6,6],[5,5,4]] => [5,5,4] => 2
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[7,7,7],[6,5]] => [6,5] => 3
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[8,8,8],[7,7]] => [7,7] => 0
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[8,8],[6]] => [6] => 3
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[9,9],[8]] => [8] => 4
search for individual values
searching the database for the individual values of this statistic
Description
Half of the largest even part of an integer partition.
The largest even part is recorded by St000995The largest even part of an integer partition..
Map
pruning number to logarithmic height
Description
Francon's map from binary trees to Dyck paths.
This bijection sends the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree., to the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path.. The implementation is a literal translation of Knuth's [2].
Map
skew partition
Description
The parallelogram polyomino corresponding to a Dyck path, interpreted as a skew partition.
Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices.
This map returns the skew partition definded by the diagram of $\gamma(D)$.
Map
inner shape
Description
The inner shape of a skew partition.