Identifier
-
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00070: Permutations —Robinson-Schensted recording tableau⟶ Standard tableaux
St000017: Standard tableaux ⟶ ℤ
Values
[.,.] => [1] => [[1]] => 0
[.,[.,.]] => [2,1] => [[1],[2]] => 0
[[.,.],.] => [1,2] => [[1,2]] => 0
[.,[.,[.,.]]] => [3,2,1] => [[1],[2],[3]] => 0
[.,[[.,.],.]] => [2,3,1] => [[1,2],[3]] => 0
[[.,.],[.,.]] => [3,1,2] => [[1,3],[2]] => 0
[[.,[.,.]],.] => [2,1,3] => [[1,3],[2]] => 0
[[[.,.],.],.] => [1,2,3] => [[1,2,3]] => 0
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [[1],[2],[3],[4]] => 0
[.,[.,[[.,.],.]]] => [3,4,2,1] => [[1,2],[3],[4]] => 0
[.,[[.,.],[.,.]]] => [4,2,3,1] => [[1,3],[2],[4]] => 0
[.,[[.,[.,.]],.]] => [3,2,4,1] => [[1,3],[2],[4]] => 0
[.,[[[.,.],.],.]] => [2,3,4,1] => [[1,2,3],[4]] => 0
[[.,.],[.,[.,.]]] => [4,3,1,2] => [[1,4],[2],[3]] => 0
[[.,.],[[.,.],.]] => [3,4,1,2] => [[1,2],[3,4]] => 1
[[.,[.,.]],[.,.]] => [4,2,1,3] => [[1,4],[2],[3]] => 0
[[[.,.],.],[.,.]] => [4,1,2,3] => [[1,3,4],[2]] => 0
[[.,[.,[.,.]]],.] => [3,2,1,4] => [[1,4],[2],[3]] => 0
[[.,[[.,.],.]],.] => [2,3,1,4] => [[1,2,4],[3]] => 0
[[[.,.],[.,.]],.] => [3,1,2,4] => [[1,3,4],[2]] => 0
[[[.,[.,.]],.],.] => [2,1,3,4] => [[1,3,4],[2]] => 0
[[[[.,.],.],.],.] => [1,2,3,4] => [[1,2,3,4]] => 0
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [[1],[2],[3],[4],[5]] => 0
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [[1,2],[3],[4],[5]] => 0
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [[1,3],[2],[4],[5]] => 0
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [[1,3],[2],[4],[5]] => 0
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [[1,2,3],[4],[5]] => 0
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [[1,4],[2],[3],[5]] => 0
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [[1,2],[3,4],[5]] => 1
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [[1,4],[2],[3],[5]] => 0
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [[1,3,4],[2],[5]] => 0
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [[1,4],[2],[3],[5]] => 0
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [[1,2,4],[3],[5]] => 0
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [[1,3,4],[2],[5]] => 0
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [[1,3,4],[2],[5]] => 0
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [[1,2,3,4],[5]] => 0
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [[1,5],[2],[3],[4]] => 0
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [[1,2],[3,5],[4]] => 1
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [[1,3],[2,5],[4]] => 1
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [[1,3],[2,5],[4]] => 1
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [[1,2,3],[4,5]] => 1
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [[1,5],[2],[3],[4]] => 0
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [[1,2],[3,5],[4]] => 1
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [[1,4,5],[2],[3]] => 0
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [[1,2,5],[3,4]] => 1
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [[1,5],[2],[3],[4]] => 0
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [[1,3,5],[2],[4]] => 0
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [[1,4,5],[2],[3]] => 0
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [[1,4,5],[2],[3]] => 0
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [[1,3,4,5],[2]] => 0
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [[1,5],[2],[3],[4]] => 0
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [[1,2,5],[3],[4]] => 0
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [[1,3,5],[2],[4]] => 0
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [[1,3,5],[2],[4]] => 0
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [[1,2,3,5],[4]] => 0
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [[1,4,5],[2],[3]] => 0
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [[1,2,5],[3,4]] => 1
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [[1,4,5],[2],[3]] => 0
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [[1,3,4,5],[2]] => 0
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [[1,4,5],[2],[3]] => 0
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [[1,2,4,5],[3]] => 0
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [[1,3,4,5],[2]] => 0
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [[1,3,4,5],[2]] => 0
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [[1,2,3,4,5]] => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => 0
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [[1,2],[3],[4],[5],[6]] => 0
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [[1,3],[2],[4],[5],[6]] => 0
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [[1,3],[2],[4],[5],[6]] => 0
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [[1,2,3],[4],[5],[6]] => 0
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6]] => 0
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [[1,2],[3,4],[5],[6]] => 1
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [[1,4],[2],[3],[5],[6]] => 0
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [[1,3,4],[2],[5],[6]] => 0
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [[1,4],[2],[3],[5],[6]] => 0
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [[1,2,4],[3],[5],[6]] => 0
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [[1,3,4],[2],[5],[6]] => 0
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [[1,3,4],[2],[5],[6]] => 0
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [[1,2,3,4],[5],[6]] => 0
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [[1,5],[2],[3],[4],[6]] => 0
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [[1,2],[3,5],[4],[6]] => 1
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [[1,3],[2,5],[4],[6]] => 1
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [[1,3],[2,5],[4],[6]] => 1
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [[1,2,3],[4,5],[6]] => 1
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [[1,5],[2],[3],[4],[6]] => 0
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [[1,2],[3,5],[4],[6]] => 1
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [[1,4,5],[2],[3],[6]] => 0
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [[1,2,5],[3,4],[6]] => 1
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6]] => 0
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [[1,3,5],[2],[4],[6]] => 0
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [[1,4,5],[2],[3],[6]] => 0
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [[1,4,5],[2],[3],[6]] => 0
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [[1,3,4,5],[2],[6]] => 0
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [[1,5],[2],[3],[4],[6]] => 0
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [[1,2,5],[3],[4],[6]] => 0
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [[1,3,5],[2],[4],[6]] => 0
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [[1,3,5],[2],[4],[6]] => 0
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [[1,2,3,5],[4],[6]] => 0
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [[1,4,5],[2],[3],[6]] => 0
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [[1,2,5],[3,4],[6]] => 1
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [[1,4,5],[2],[3],[6]] => 0
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [[1,3,4,5],[2],[6]] => 0
>>> Load all 1611 entries. <<<[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [[1,4,5],[2],[3],[6]] => 0
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [[1,2,4,5],[3],[6]] => 0
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [[1,3,4,5],[2],[6]] => 0
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [[1,3,4,5],[2],[6]] => 0
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [[1,2,3,4,5],[6]] => 0
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [[1,6],[2],[3],[4],[5]] => 0
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [[1,2],[3,6],[4],[5]] => 1
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [[1,3],[2,6],[4],[5]] => 1
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [[1,3],[2,6],[4],[5]] => 1
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [[1,2,3],[4,6],[5]] => 1
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [[1,4],[2,6],[3],[5]] => 1
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [[1,2],[3,4],[5,6]] => 2
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [[1,4],[2,6],[3],[5]] => 1
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [[1,3,4],[2,6],[5]] => 1
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [[1,4],[2,6],[3],[5]] => 1
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [[1,2,4],[3,6],[5]] => 1
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [[1,3,4],[2,6],[5]] => 1
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [[1,3,4],[2,6],[5]] => 1
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [[1,2,3,4],[5,6]] => 1
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [[1,6],[2],[3],[4],[5]] => 0
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [[1,2],[3,6],[4],[5]] => 1
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [[1,3],[2,6],[4],[5]] => 1
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [[1,3],[2,6],[4],[5]] => 1
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [[1,2,3],[4,6],[5]] => 1
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [[1,5,6],[2],[3],[4]] => 0
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [[1,2,6],[3,5],[4]] => 1
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [[1,3,6],[2,5],[4]] => 1
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [[1,3,6],[2,5],[4]] => 1
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [[1,2,3],[4,5,6]] => 3
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [[1,6],[2],[3],[4],[5]] => 0
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [[1,2],[3,6],[4],[5]] => 1
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [[1,4,6],[2],[3],[5]] => 0
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [[1,2,6],[3,4],[5]] => 1
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [[1,5,6],[2],[3],[4]] => 0
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [[1,2,6],[3,5],[4]] => 1
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [[1,5,6],[2],[3],[4]] => 0
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [[1,2,6],[3,5],[4]] => 1
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [[1,4,5,6],[2],[3]] => 0
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [[1,2,5,6],[3,4]] => 1
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [[1,6],[2],[3],[4],[5]] => 0
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [[1,3,6],[2],[4],[5]] => 0
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [[1,4,6],[2],[3],[5]] => 0
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [[1,4,6],[2],[3],[5]] => 0
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [[1,3,4,6],[2],[5]] => 0
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [[1,5,6],[2],[3],[4]] => 0
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [[1,3,6],[2,5],[4]] => 1
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [[1,5,6],[2],[3],[4]] => 0
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [[1,4,5,6],[2],[3]] => 0
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [[1,5,6],[2],[3],[4]] => 0
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [[1,3,5,6],[2],[4]] => 0
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [[1,4,5,6],[2],[3]] => 0
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [[1,4,5,6],[2],[3]] => 0
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [[1,3,4,5,6],[2]] => 0
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5]] => 0
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [[1,2,6],[3],[4],[5]] => 0
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [[1,3,6],[2],[4],[5]] => 0
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [[1,3,6],[2],[4],[5]] => 0
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [[1,2,3,6],[4],[5]] => 0
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [[1,4,6],[2],[3],[5]] => 0
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [[1,2,6],[3,4],[5]] => 1
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [[1,4,6],[2],[3],[5]] => 0
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [[1,3,4,6],[2],[5]] => 0
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [[1,4,6],[2],[3],[5]] => 0
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [[1,2,4,6],[3],[5]] => 0
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [[1,3,4,6],[2],[5]] => 0
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [[1,3,4,6],[2],[5]] => 0
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [[1,2,3,4,6],[5]] => 0
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [[1,5,6],[2],[3],[4]] => 0
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [[1,2,6],[3,5],[4]] => 1
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [[1,3,6],[2,5],[4]] => 1
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [[1,3,6],[2,5],[4]] => 1
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [[1,2,3,6],[4,5]] => 1
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [[1,5,6],[2],[3],[4]] => 0
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [[1,2,6],[3,5],[4]] => 1
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [[1,4,5,6],[2],[3]] => 0
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [[1,2,5,6],[3,4]] => 1
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [[1,5,6],[2],[3],[4]] => 0
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [[1,3,5,6],[2],[4]] => 0
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [[1,4,5,6],[2],[3]] => 0
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [[1,4,5,6],[2],[3]] => 0
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [[1,3,4,5,6],[2]] => 0
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [[1,5,6],[2],[3],[4]] => 0
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [[1,2,5,6],[3],[4]] => 0
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [[1,3,5,6],[2],[4]] => 0
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [[1,3,5,6],[2],[4]] => 0
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [[1,2,3,5,6],[4]] => 0
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [[1,4,5,6],[2],[3]] => 0
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [[1,2,5,6],[3,4]] => 1
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [[1,4,5,6],[2],[3]] => 0
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [[1,3,4,5,6],[2]] => 0
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [[1,4,5,6],[2],[3]] => 0
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [[1,2,4,5,6],[3]] => 0
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [[1,3,4,5,6],[2]] => 0
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [[1,3,4,5,6],[2]] => 0
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [[1,2,3,4,5,6]] => 0
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => 0
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7]] => 0
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7]] => 0
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7]] => 0
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [[1,2,3],[4],[5],[6],[7]] => 0
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [[1,4],[2],[3],[5],[6],[7]] => 0
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [[1,2],[3,4],[5],[6],[7]] => 1
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [[1,4],[2],[3],[5],[6],[7]] => 0
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [[1,3,4],[2],[5],[6],[7]] => 0
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [[1,4],[2],[3],[5],[6],[7]] => 0
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [[1,2,4],[3],[5],[6],[7]] => 0
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [[1,3,4],[2],[5],[6],[7]] => 0
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [[1,3,4],[2],[5],[6],[7]] => 0
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [[1,2,3,4],[5],[6],[7]] => 0
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 0
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [[1,2],[3,5],[4],[6],[7]] => 1
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [[1,3],[2,5],[4],[6],[7]] => 1
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [[1,3],[2,5],[4],[6],[7]] => 1
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [[1,2,3],[4,5],[6],[7]] => 1
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 0
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [[1,2],[3,5],[4],[6],[7]] => 1
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => 0
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [[1,2,5],[3,4],[6],[7]] => 1
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 0
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [[1,3,5],[2],[4],[6],[7]] => 0
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [[1,4,5],[2],[3],[6],[7]] => 0
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [[1,4,5],[2],[3],[6],[7]] => 0
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [[1,3,4,5],[2],[6],[7]] => 0
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 0
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [[1,2,5],[3],[4],[6],[7]] => 0
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [[1,3,5],[2],[4],[6],[7]] => 0
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [[1,3,5],[2],[4],[6],[7]] => 0
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [[1,2,3,5],[4],[6],[7]] => 0
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [[1,4,5],[2],[3],[6],[7]] => 0
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [[1,2,5],[3,4],[6],[7]] => 1
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [[1,4,5],[2],[3],[6],[7]] => 0
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [[1,3,4,5],[2],[6],[7]] => 0
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [[1,4,5],[2],[3],[6],[7]] => 0
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [[1,2,4,5],[3],[6],[7]] => 0
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [[1,3,4,5],[2],[6],[7]] => 0
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [[1,3,4,5],[2],[6],[7]] => 0
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [[1,2,3,4,5],[6],[7]] => 0
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [[1,6],[2],[3],[4],[5],[7]] => 0
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [[1,2],[3,6],[4],[5],[7]] => 1
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [[1,3],[2,6],[4],[5],[7]] => 1
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [[1,3],[2,6],[4],[5],[7]] => 1
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [[1,2,3],[4,6],[5],[7]] => 1
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [[1,4],[2,6],[3],[5],[7]] => 1
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [[1,2],[3,4],[5,6],[7]] => 2
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [[1,4],[2,6],[3],[5],[7]] => 1
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [[1,3,4],[2,6],[5],[7]] => 1
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [[1,4],[2,6],[3],[5],[7]] => 1
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [[1,2,4],[3,6],[5],[7]] => 1
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [[1,3,4],[2,6],[5],[7]] => 1
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [[1,3,4],[2,6],[5],[7]] => 1
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [[1,2,3,4],[5,6],[7]] => 1
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [[1,6],[2],[3],[4],[5],[7]] => 0
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [[1,2],[3,6],[4],[5],[7]] => 1
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [[1,3],[2,6],[4],[5],[7]] => 1
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [[1,3],[2,6],[4],[5],[7]] => 1
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [[1,2,3],[4,6],[5],[7]] => 1
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [[1,5,6],[2],[3],[4],[7]] => 0
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [[1,2,6],[3,5],[4],[7]] => 1
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [[1,3,6],[2,5],[4],[7]] => 1
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [[1,3,6],[2,5],[4],[7]] => 1
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [[1,2,3],[4,5,6],[7]] => 3
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [[1,6],[2],[3],[4],[5],[7]] => 0
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [[1,2],[3,6],[4],[5],[7]] => 1
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [[1,4,6],[2],[3],[5],[7]] => 0
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [[1,2,6],[3,4],[5],[7]] => 1
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [[1,5,6],[2],[3],[4],[7]] => 0
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [[1,2,6],[3,5],[4],[7]] => 1
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [[1,5,6],[2],[3],[4],[7]] => 0
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [[1,2,6],[3,5],[4],[7]] => 1
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [[1,4,5,6],[2],[3],[7]] => 0
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [[1,2,5,6],[3,4],[7]] => 1
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [[1,6],[2],[3],[4],[5],[7]] => 0
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [[1,3,6],[2],[4],[5],[7]] => 0
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [[1,4,6],[2],[3],[5],[7]] => 0
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [[1,4,6],[2],[3],[5],[7]] => 0
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [[1,3,4,6],[2],[5],[7]] => 0
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [[1,5,6],[2],[3],[4],[7]] => 0
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [[1,3,6],[2,5],[4],[7]] => 1
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [[1,5,6],[2],[3],[4],[7]] => 0
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [[1,4,5,6],[2],[3],[7]] => 0
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [[1,5,6],[2],[3],[4],[7]] => 0
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [[1,3,5,6],[2],[4],[7]] => 0
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [[1,4,5,6],[2],[3],[7]] => 0
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [[1,4,5,6],[2],[3],[7]] => 0
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [[1,3,4,5,6],[2],[7]] => 0
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [[1,6],[2],[3],[4],[5],[7]] => 0
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [[1,2,6],[3],[4],[5],[7]] => 0
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [[1,3,6],[2],[4],[5],[7]] => 0
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [[1,3,6],[2],[4],[5],[7]] => 0
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [[1,2,3,6],[4],[5],[7]] => 0
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [[1,4,6],[2],[3],[5],[7]] => 0
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [[1,2,6],[3,4],[5],[7]] => 1
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [[1,4,6],[2],[3],[5],[7]] => 0
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [[1,3,4,6],[2],[5],[7]] => 0
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [[1,4,6],[2],[3],[5],[7]] => 0
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [[1,2,4,6],[3],[5],[7]] => 0
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [[1,3,4,6],[2],[5],[7]] => 0
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [[1,3,4,6],[2],[5],[7]] => 0
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [[1,2,3,4,6],[5],[7]] => 0
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [[1,5,6],[2],[3],[4],[7]] => 0
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [[1,2,6],[3,5],[4],[7]] => 1
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [[1,3,6],[2,5],[4],[7]] => 1
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [[1,3,6],[2,5],[4],[7]] => 1
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [[1,2,3,6],[4,5],[7]] => 1
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [[1,5,6],[2],[3],[4],[7]] => 0
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [[1,2,6],[3,5],[4],[7]] => 1
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [[1,4,5,6],[2],[3],[7]] => 0
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [[1,2,5,6],[3,4],[7]] => 1
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [[1,5,6],[2],[3],[4],[7]] => 0
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [[1,3,5,6],[2],[4],[7]] => 0
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [[1,4,5,6],[2],[3],[7]] => 0
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [[1,4,5,6],[2],[3],[7]] => 0
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [[1,3,4,5,6],[2],[7]] => 0
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [[1,5,6],[2],[3],[4],[7]] => 0
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [[1,2,5,6],[3],[4],[7]] => 0
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [[1,3,5,6],[2],[4],[7]] => 0
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [[1,3,5,6],[2],[4],[7]] => 0
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [[1,2,3,5,6],[4],[7]] => 0
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [[1,4,5,6],[2],[3],[7]] => 0
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [[1,2,5,6],[3,4],[7]] => 1
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [[1,4,5,6],[2],[3],[7]] => 0
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [[1,3,4,5,6],[2],[7]] => 0
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [[1,4,5,6],[2],[3],[7]] => 0
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [[1,2,4,5,6],[3],[7]] => 0
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [[1,3,4,5,6],[2],[7]] => 0
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [[1,3,4,5,6],[2],[7]] => 0
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [[1,2,3,4,5,6],[7]] => 0
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [[1,7],[2],[3],[4],[5],[6]] => 0
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [[1,2],[3,7],[4],[5],[6]] => 1
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [[1,3],[2,7],[4],[5],[6]] => 1
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [[1,3],[2,7],[4],[5],[6]] => 1
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [[1,2,3],[4,7],[5],[6]] => 1
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [[1,4],[2,7],[3],[5],[6]] => 1
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [[1,2],[3,4],[5,7],[6]] => 2
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [[1,4],[2,7],[3],[5],[6]] => 1
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [[1,3,4],[2,7],[5],[6]] => 1
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [[1,4],[2,7],[3],[5],[6]] => 1
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [[1,2,4],[3,7],[5],[6]] => 1
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [[1,3,4],[2,7],[5],[6]] => 1
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [[1,3,4],[2,7],[5],[6]] => 1
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [[1,2,3,4],[5,7],[6]] => 1
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [[1,5],[2,7],[3],[4],[6]] => 1
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [[1,2],[3,5],[4,7],[6]] => 2
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [[1,3],[2,5],[4,7],[6]] => 2
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [[1,3],[2,5],[4,7],[6]] => 2
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [[1,2,3],[4,5],[6,7]] => 2
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [[1,5],[2,7],[3],[4],[6]] => 1
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [[1,2],[3,5],[4,7],[6]] => 2
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [[1,4,5],[2,7],[3],[6]] => 1
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [[1,2,5],[3,4],[6,7]] => 2
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [[1,5],[2,7],[3],[4],[6]] => 1
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [[1,3,5],[2,7],[4],[6]] => 1
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [[1,4,5],[2,7],[3],[6]] => 1
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [[1,4,5],[2,7],[3],[6]] => 1
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [[1,3,4,5],[2,7],[6]] => 1
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [[1,5],[2,7],[3],[4],[6]] => 1
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [[1,2,5],[3,7],[4],[6]] => 1
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [[1,3,5],[2,7],[4],[6]] => 1
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [[1,3,5],[2,7],[4],[6]] => 1
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [[1,2,3,5],[4,7],[6]] => 1
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [[1,4,5],[2,7],[3],[6]] => 1
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [[1,2,5],[3,4],[6,7]] => 2
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [[1,4,5],[2,7],[3],[6]] => 1
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [[1,3,4,5],[2,7],[6]] => 1
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [[1,4,5],[2,7],[3],[6]] => 1
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [[1,2,4,5],[3,7],[6]] => 1
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [[1,3,4,5],[2,7],[6]] => 1
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [[1,3,4,5],[2,7],[6]] => 1
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [[1,2,3,4,5],[6,7]] => 1
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [[1,7],[2],[3],[4],[5],[6]] => 0
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [[1,2],[3,7],[4],[5],[6]] => 1
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => 1
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => 1
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [[1,2,3],[4,7],[5],[6]] => 1
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [[1,4],[2,7],[3],[5],[6]] => 1
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [[1,2],[3,4],[5,7],[6]] => 2
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [[1,4],[2,7],[3],[5],[6]] => 1
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [[1,3,4],[2,7],[5],[6]] => 1
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [[1,4],[2,7],[3],[5],[6]] => 1
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [[1,2,4],[3,7],[5],[6]] => 1
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [[1,3,4],[2,7],[5],[6]] => 1
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [[1,3,4],[2,7],[5],[6]] => 1
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [[1,2,3,4],[5,7],[6]] => 1
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [[1,6,7],[2],[3],[4],[5]] => 0
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [[1,2,7],[3,6],[4],[5]] => 1
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [[1,3,7],[2,6],[4],[5]] => 1
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [[1,3,7],[2,6],[4],[5]] => 1
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [[1,2,3],[4,6,7],[5]] => 3
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [[1,4,7],[2,6],[3],[5]] => 1
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [[1,2,7],[3,4],[5,6]] => 2
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [[1,4,7],[2,6],[3],[5]] => 1
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [[1,3,4],[2,6,7],[5]] => 3
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [[1,4,7],[2,6],[3],[5]] => 1
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [[1,2,4],[3,6,7],[5]] => 3
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [[1,3,4],[2,6,7],[5]] => 3
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [[1,3,4],[2,6,7],[5]] => 3
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [[1,2,3,4],[5,6,7]] => 3
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [[1,7],[2],[3],[4],[5],[6]] => 0
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [[1,2],[3,7],[4],[5],[6]] => 1
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [[1,3],[2,7],[4],[5],[6]] => 1
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [[1,3],[2,7],[4],[5],[6]] => 1
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [[1,2,3],[4,7],[5],[6]] => 1
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [[1,5,7],[2],[3],[4],[6]] => 0
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [[1,2,7],[3,5],[4],[6]] => 1
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [[1,3,7],[2,5],[4],[6]] => 1
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [[1,3,7],[2,5],[4],[6]] => 1
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [[1,2,3],[4,5,7],[6]] => 3
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [[1,6,7],[2],[3],[4],[5]] => 0
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [[1,2,7],[3,6],[4],[5]] => 1
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [[1,3,7],[2,6],[4],[5]] => 1
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [[1,3,7],[2,6],[4],[5]] => 1
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [[1,2,3],[4,6,7],[5]] => 3
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [[1,6,7],[2],[3],[4],[5]] => 0
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [[1,2,7],[3,6],[4],[5]] => 1
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [[1,3,7],[2,6],[4],[5]] => 1
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [[1,3,7],[2,6],[4],[5]] => 1
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [[1,2,3],[4,6,7],[5]] => 3
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [[1,2,6,7],[3,5],[4]] => 1
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [[1,3,6,7],[2,5],[4]] => 1
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [[1,3,6,7],[2,5],[4]] => 1
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [[1,2,3,7],[4,5,6]] => 3
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [[1,7],[2],[3],[4],[5],[6]] => 0
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [[1,2],[3,7],[4],[5],[6]] => 1
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [[1,4,7],[2],[3],[5],[6]] => 0
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [[1,2,7],[3,4],[5],[6]] => 1
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [[1,5,7],[2],[3],[4],[6]] => 0
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [[1,2,7],[3,5],[4],[6]] => 1
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [[1,5,7],[2],[3],[4],[6]] => 0
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [[1,2,7],[3,5],[4],[6]] => 1
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [[1,4,5,7],[2],[3],[6]] => 0
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [[1,2,5,7],[3,4],[6]] => 1
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [[1,6,7],[2],[3],[4],[5]] => 0
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [[1,2,7],[3,6],[4],[5]] => 1
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [[1,4,7],[2,6],[3],[5]] => 1
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [[1,2,7],[3,4],[5,6]] => 2
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [[1,6,7],[2],[3],[4],[5]] => 0
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [[1,2,7],[3,6],[4],[5]] => 1
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [[1,2,6,7],[3,5],[4]] => 1
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [[1,6,7],[2],[3],[4],[5]] => 0
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [[1,2,7],[3,6],[4],[5]] => 1
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [[1,4,6,7],[2],[3],[5]] => 0
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [[1,2,6,7],[3,4],[5]] => 1
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [[1,2,6,7],[3,5],[4]] => 1
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [[1,2,6,7],[3,5],[4]] => 1
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [[1,4,5,6,7],[2],[3]] => 0
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [[1,2,5,6,7],[3,4]] => 1
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [[1,7],[2],[3],[4],[5],[6]] => 0
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [[1,3,7],[2],[4],[5],[6]] => 0
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [[1,4,7],[2],[3],[5],[6]] => 0
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [[1,4,7],[2],[3],[5],[6]] => 0
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [[1,3,4,7],[2],[5],[6]] => 0
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [[1,5,7],[2],[3],[4],[6]] => 0
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [[1,3,7],[2,5],[4],[6]] => 1
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [[1,5,7],[2],[3],[4],[6]] => 0
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [[1,4,5,7],[2],[3],[6]] => 0
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [[1,5,7],[2],[3],[4],[6]] => 0
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [[1,3,5,7],[2],[4],[6]] => 0
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [[1,4,5,7],[2],[3],[6]] => 0
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [[1,4,5,7],[2],[3],[6]] => 0
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [[1,3,4,5,7],[2],[6]] => 0
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [[1,6,7],[2],[3],[4],[5]] => 0
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [[1,3,7],[2,6],[4],[5]] => 1
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [[1,4,7],[2,6],[3],[5]] => 1
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [[1,4,7],[2,6],[3],[5]] => 1
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [[1,3,4,7],[2,6],[5]] => 1
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [[1,6,7],[2],[3],[4],[5]] => 0
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [[1,3,7],[2,6],[4],[5]] => 1
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [[1,3,6,7],[2,5],[4]] => 1
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [[1,6,7],[2],[3],[4],[5]] => 0
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [[1,4,6,7],[2],[3],[5]] => 0
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [[1,4,5,6,7],[2],[3]] => 0
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [[1,6,7],[2],[3],[4],[5]] => 0
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [[1,3,6,7],[2],[4],[5]] => 0
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [[1,4,6,7],[2],[3],[5]] => 0
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [[1,4,6,7],[2],[3],[5]] => 0
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [[1,3,4,6,7],[2],[5]] => 0
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [[1,3,6,7],[2,5],[4]] => 1
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [[1,4,5,6,7],[2],[3]] => 0
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [[1,3,5,6,7],[2],[4]] => 0
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [[1,4,5,6,7],[2],[3]] => 0
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [[1,4,5,6,7],[2],[3]] => 0
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [[1,3,4,5,6,7],[2]] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6]] => 0
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [[1,2,7],[3],[4],[5],[6]] => 0
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [[1,3,7],[2],[4],[5],[6]] => 0
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [[1,3,7],[2],[4],[5],[6]] => 0
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [[1,2,3,7],[4],[5],[6]] => 0
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => 0
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [[1,2,7],[3,4],[5],[6]] => 1
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => 0
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [[1,3,4,7],[2],[5],[6]] => 0
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => 0
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [[1,2,4,7],[3],[5],[6]] => 0
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [[1,3,4,7],[2],[5],[6]] => 0
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [[1,3,4,7],[2],[5],[6]] => 0
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [[1,2,3,4,7],[5],[6]] => 0
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [[1,5,7],[2],[3],[4],[6]] => 0
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [[1,2,7],[3,5],[4],[6]] => 1
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [[1,3,7],[2,5],[4],[6]] => 1
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [[1,3,7],[2,5],[4],[6]] => 1
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [[1,2,3,7],[4,5],[6]] => 1
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [[1,5,7],[2],[3],[4],[6]] => 0
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [[1,2,7],[3,5],[4],[6]] => 1
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [[1,4,5,7],[2],[3],[6]] => 0
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [[1,2,5,7],[3,4],[6]] => 1
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [[1,5,7],[2],[3],[4],[6]] => 0
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [[1,3,5,7],[2],[4],[6]] => 0
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [[1,4,5,7],[2],[3],[6]] => 0
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [[1,4,5,7],[2],[3],[6]] => 0
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [[1,3,4,5,7],[2],[6]] => 0
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [[1,5,7],[2],[3],[4],[6]] => 0
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [[1,2,5,7],[3],[4],[6]] => 0
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [[1,3,5,7],[2],[4],[6]] => 0
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [[1,3,5,7],[2],[4],[6]] => 0
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [[1,2,3,5,7],[4],[6]] => 0
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [[1,4,5,7],[2],[3],[6]] => 0
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [[1,2,5,7],[3,4],[6]] => 1
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [[1,4,5,7],[2],[3],[6]] => 0
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [[1,3,4,5,7],[2],[6]] => 0
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [[1,4,5,7],[2],[3],[6]] => 0
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [[1,2,4,5,7],[3],[6]] => 0
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [[1,3,4,5,7],[2],[6]] => 0
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [[1,3,4,5,7],[2],[6]] => 0
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [[1,2,3,4,5,7],[6]] => 0
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [[1,6,7],[2],[3],[4],[5]] => 0
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [[1,2,7],[3,6],[4],[5]] => 1
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [[1,3,7],[2,6],[4],[5]] => 1
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [[1,3,7],[2,6],[4],[5]] => 1
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [[1,2,3,7],[4,6],[5]] => 1
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [[1,4,7],[2,6],[3],[5]] => 1
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [[1,2,7],[3,4],[5,6]] => 2
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [[1,4,7],[2,6],[3],[5]] => 1
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [[1,3,4,7],[2,6],[5]] => 1
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [[1,4,7],[2,6],[3],[5]] => 1
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [[1,2,4,7],[3,6],[5]] => 1
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [[1,3,4,7],[2,6],[5]] => 1
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [[1,3,4,7],[2,6],[5]] => 1
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [[1,2,3,4,7],[5,6]] => 1
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [[1,6,7],[2],[3],[4],[5]] => 0
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [[1,2,7],[3,6],[4],[5]] => 1
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [[1,3,7],[2,6],[4],[5]] => 1
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [[1,3,7],[2,6],[4],[5]] => 1
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [[1,2,3,7],[4,6],[5]] => 1
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [[1,2,6,7],[3,5],[4]] => 1
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [[1,3,6,7],[2,5],[4]] => 1
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [[1,3,6,7],[2,5],[4]] => 1
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [[1,2,3,7],[4,5,6]] => 3
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [[1,6,7],[2],[3],[4],[5]] => 0
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [[1,2,7],[3,6],[4],[5]] => 1
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [[1,4,6,7],[2],[3],[5]] => 0
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [[1,2,6,7],[3,4],[5]] => 1
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [[1,2,6,7],[3,5],[4]] => 1
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [[1,2,6,7],[3,5],[4]] => 1
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [[1,4,5,6,7],[2],[3]] => 0
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [[1,2,5,6,7],[3,4]] => 1
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [[1,6,7],[2],[3],[4],[5]] => 0
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [[1,3,6,7],[2],[4],[5]] => 0
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [[1,4,6,7],[2],[3],[5]] => 0
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [[1,4,6,7],[2],[3],[5]] => 0
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [[1,3,4,6,7],[2],[5]] => 0
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [[1,3,6,7],[2,5],[4]] => 1
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [[1,4,5,6,7],[2],[3]] => 0
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [[1,3,5,6,7],[2],[4]] => 0
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [[1,4,5,6,7],[2],[3]] => 0
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [[1,4,5,6,7],[2],[3]] => 0
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [[1,3,4,5,6,7],[2]] => 0
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [[1,6,7],[2],[3],[4],[5]] => 0
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [[1,2,6,7],[3],[4],[5]] => 0
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [[1,3,6,7],[2],[4],[5]] => 0
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [[1,3,6,7],[2],[4],[5]] => 0
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [[1,2,3,6,7],[4],[5]] => 0
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [[1,4,6,7],[2],[3],[5]] => 0
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [[1,2,6,7],[3,4],[5]] => 1
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [[1,4,6,7],[2],[3],[5]] => 0
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [[1,3,4,6,7],[2],[5]] => 0
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [[1,4,6,7],[2],[3],[5]] => 0
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [[1,2,4,6,7],[3],[5]] => 0
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [[1,3,4,6,7],[2],[5]] => 0
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [[1,3,4,6,7],[2],[5]] => 0
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [[1,2,3,4,6,7],[5]] => 0
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [[1,2,6,7],[3,5],[4]] => 1
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [[1,3,6,7],[2,5],[4]] => 1
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [[1,3,6,7],[2,5],[4]] => 1
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [[1,2,3,6,7],[4,5]] => 1
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [[1,2,6,7],[3,5],[4]] => 1
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [[1,4,5,6,7],[2],[3]] => 0
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [[1,2,5,6,7],[3,4]] => 1
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [[1,3,5,6,7],[2],[4]] => 0
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [[1,4,5,6,7],[2],[3]] => 0
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [[1,4,5,6,7],[2],[3]] => 0
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [[1,3,4,5,6,7],[2]] => 0
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [[1,5,6,7],[2],[3],[4]] => 0
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [[1,2,5,6,7],[3],[4]] => 0
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [[1,3,5,6,7],[2],[4]] => 0
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [[1,3,5,6,7],[2],[4]] => 0
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [[1,2,3,5,6,7],[4]] => 0
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [[1,4,5,6,7],[2],[3]] => 0
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [[1,2,5,6,7],[3,4]] => 1
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [[1,4,5,6,7],[2],[3]] => 0
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [[1,3,4,5,6,7],[2]] => 0
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [[1,4,5,6,7],[2],[3]] => 0
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [[1,2,4,5,6,7],[3]] => 0
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [[1,3,4,5,6,7],[2]] => 0
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2]] => 0
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7]] => 0
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [[1,2],[3,4],[5],[6],[7],[8]] => 1
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [[1,3,4],[2],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [[1,2,4],[3],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [[1,3,4],[2],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [[1,3,4],[2],[5],[6],[7],[8]] => 0
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [[1,2,3,4],[5],[6],[7],[8]] => 0
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 0
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [[1,2],[3,5],[4],[6],[7],[8]] => 1
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 1
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [7,6,8,4,5,3,2,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 1
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [8,7,5,4,6,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 0
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => 0
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 0
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [8,5,6,4,7,3,2,1] => [[1,3,5],[2],[4],[6],[7],[8]] => 0
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [8,6,4,5,7,3,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => 0
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [[1,3,4,5],[2],[6],[7],[8]] => 0
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 0
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [[1,2,5],[3],[4],[6],[7],[8]] => 0
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [[1,3,5],[2],[4],[6],[7],[8]] => 0
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [[1,3,5],[2],[4],[6],[7],[8]] => 0
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [[1,2,3,5],[4],[6],[7],[8]] => 0
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [7,6,4,5,8,3,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => 0
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [6,7,4,5,8,3,2,1] => [[1,2,5],[3,4],[6],[7],[8]] => 1
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [7,5,4,6,8,3,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => 0
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [[1,3,4,5],[2],[6],[7],[8]] => 0
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => 0
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [[1,2,4,5],[3],[6],[7],[8]] => 0
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [[1,3,4,5],[2],[6],[7],[8]] => 0
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [[1,3,4,5],[2],[6],[7],[8]] => 0
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [[1,2,3,4,5],[6],[7],[8]] => 0
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 0
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 1
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 1
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 1
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 1
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [[1,2],[3,4],[5,6],[7],[8]] => 2
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [8,5,6,7,3,4,2,1] => [[1,3,4],[2,6],[5],[7],[8]] => 1
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [7,6,5,8,3,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 1
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [6,7,5,8,3,4,2,1] => [[1,2,4],[3,6],[5],[7],[8]] => 1
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [[1,3,4],[2,6],[5],[7],[8]] => 1
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [[1,2,3,4],[5,6],[7],[8]] => 1
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [8,7,6,4,3,5,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 0
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [7,8,6,4,3,5,2,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 1
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 1
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [7,6,8,4,3,5,2,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 1
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [[1,2,3],[4,6],[5],[7],[8]] => 1
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 0
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [7,8,6,3,4,5,2,1] => [[1,2,6],[3,5],[4],[7],[8]] => 1
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [8,6,7,3,4,5,2,1] => [[1,3,6],[2,5],[4],[7],[8]] => 1
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [7,6,8,3,4,5,2,1] => [[1,3,6],[2,5],[4],[7],[8]] => 1
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [[1,2,3],[4,5,6],[7],[8]] => 3
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 0
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [[1,2],[3,6],[4],[5],[7],[8]] => 1
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [8,7,4,5,3,6,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => 0
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [8,7,5,3,4,6,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 0
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [7,8,5,3,4,6,2,1] => [[1,2,6],[3,5],[4],[7],[8]] => 1
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 0
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => 0
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [7,8,3,4,5,6,2,1] => [[1,2,5,6],[3,4],[7],[8]] => 1
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 0
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 0
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 0
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [8,5,3,4,6,7,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => 0
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [8,4,3,5,6,7,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => 0
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [[1,3,4,5,6],[2],[7],[8]] => 0
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 0
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [[1,2,6],[3],[4],[5],[7],[8]] => 0
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [7,5,6,4,3,8,2,1] => [[1,3,6],[2],[4],[5],[7],[8]] => 0
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [[1,3,6],[2],[4],[5],[7],[8]] => 0
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [[1,2,3,6],[4],[5],[7],[8]] => 0
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [6,7,4,5,3,8,2,1] => [[1,2,6],[3,4],[5],[7],[8]] => 1
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => 0
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [7,4,5,6,3,8,2,1] => [[1,3,4,6],[2],[5],[7],[8]] => 0
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => 0
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [[1,3,4,6],[2],[5],[7],[8]] => 0
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [[1,3,4,6],[2],[5],[7],[8]] => 0
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [[1,2,3,4,6],[5],[7],[8]] => 0
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [7,6,5,3,4,8,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 0
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [7,6,4,3,5,8,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 0
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [7,6,3,4,5,8,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => 0
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [7,5,4,3,6,8,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 0
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [7,5,3,4,6,8,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => 0
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [[1,3,4,5,6],[2],[7],[8]] => 0
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 0
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [6,5,3,4,7,8,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => 0
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [[1,3,4,5,6],[2],[7],[8]] => 0
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [[1,4,5,6],[2],[3],[7],[8]] => 0
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [5,3,4,6,7,8,2,1] => [[1,3,4,5,6],[2],[7],[8]] => 0
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [[1,3,4,5,6],[2],[7],[8]] => 0
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [[1,2,3,4,5,6],[7],[8]] => 0
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 0
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 1
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 1
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 1
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 1
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,2,3,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 1
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,2,3,1] => [[1,3,4],[2,7],[5],[6],[8]] => 1
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,2,3,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 1
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [[1,2,4],[3,7],[5],[6],[8]] => 1
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,2,3,1] => [[1,3,4],[2,7],[5],[6],[8]] => 1
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [[1,2,3,4],[5,7],[6],[8]] => 1
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 1
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => 2
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,2,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => 2
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 1
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,2,3,1] => [[1,4,5],[2,7],[3],[6],[8]] => 1
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [[1,2,5],[3,4],[6,7],[8]] => 2
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [8,6,5,4,7,2,3,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 1
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [[1,3,5],[2,7],[4],[6],[8]] => 1
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,2,3,1] => [[1,4,5],[2,7],[3],[6],[8]] => 1
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [8,4,5,6,7,2,3,1] => [[1,3,4,5],[2,7],[6],[8]] => 1
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,2,3,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 1
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [[1,3,5],[2,7],[4],[6],[8]] => 1
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [[1,3,5],[2,7],[4],[6],[8]] => 1
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,2,3,1] => [[1,2,5],[3,4],[6,7],[8]] => 2
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [[1,2,3,4,5],[6,7],[8]] => 1
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 0
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,2,4,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 1
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,2,4,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 1
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 1
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [[1,2,3],[4,7],[5],[6],[8]] => 1
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 1
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 1
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,2,4,1] => [[1,3,4],[2,7],[5],[6],[8]] => 1
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [[1,4],[2,7],[3],[5],[6],[8]] => 1
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [[1,2,4],[3,7],[5],[6],[8]] => 1
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [[1,2,3,4],[5,7],[6],[8]] => 1
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 0
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,2,3,4,1] => [[1,3,7],[2,6],[4],[5],[8]] => 1
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,2,3,4,1] => [[1,3,7],[2,6],[4],[5],[8]] => 1
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [[1,2,3],[4,6,7],[5],[8]] => 3
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,2,3,4,1] => [[1,4,7],[2,6],[3],[5],[8]] => 1
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [7,8,5,6,2,3,4,1] => [[1,2,7],[3,4],[5,6],[8]] => 2
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,2,3,4,1] => [[1,4,7],[2,6],[3],[5],[8]] => 1
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [[1,3,4],[2,6,7],[5],[8]] => 3
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,2,3,4,1] => [[1,4,7],[2,6],[3],[5],[8]] => 1
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [6,7,5,8,2,3,4,1] => [[1,2,4],[3,6,7],[5],[8]] => 3
[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [6,5,7,8,2,3,4,1] => [[1,3,4],[2,6,7],[5],[8]] => 3
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [[1,2,3,4],[5,6,7],[8]] => 3
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [8,7,6,4,3,2,5,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 0
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [7,8,6,4,3,2,5,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 1
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [8,6,7,4,3,2,5,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 1
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 1
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [6,7,8,4,3,2,5,1] => [[1,2,3],[4,7],[5],[6],[8]] => 1
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 0
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [7,8,6,3,4,2,5,1] => [[1,2,7],[3,5],[4],[6],[8]] => 1
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [[1,3,7],[2,5],[4],[6],[8]] => 1
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [[1,3,7],[2,5],[4],[6],[8]] => 1
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [[1,2,3],[4,5,7],[6],[8]] => 3
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,2,3,5,1] => [[1,3,7],[2,6],[4],[5],[8]] => 1
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [[1,2,3],[4,6,7],[5],[8]] => 3
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 0
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [[1,2,7],[3,6],[4],[5],[8]] => 1
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [8,6,7,3,2,4,5,1] => [[1,3,7],[2,6],[4],[5],[8]] => 1
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [[1,2,3],[4,6,7],[5],[8]] => 3
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [8,7,6,2,3,4,5,1] => [[1,5,6,7],[2],[3],[4],[8]] => 0
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [7,8,6,2,3,4,5,1] => [[1,2,6,7],[3,5],[4],[8]] => 1
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [[1,3,6,7],[2,5],[4],[8]] => 1
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [7,6,8,2,3,4,5,1] => [[1,3,6,7],[2,5],[4],[8]] => 1
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [[1,2,3,7],[4,5,6],[8]] => 3
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 0
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [[1,2],[3,7],[4],[5],[6],[8]] => 1
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 0
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [[1,2,7],[3,5],[4],[6],[8]] => 1
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 0
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [8,7,5,3,2,4,6,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 0
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [8,7,4,3,2,5,6,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 0
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [7,8,4,3,2,5,6,1] => [[1,2,7],[3,6],[4],[5],[8]] => 1
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [7,8,3,4,2,5,6,1] => [[1,2,6,7],[3,4],[5],[8]] => 1
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [7,8,4,2,3,5,6,1] => [[1,2,6,7],[3,5],[4],[8]] => 1
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [[1,2,6,7],[3,5],[4],[8]] => 1
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [[1,4,5,6,7],[2],[3],[8]] => 0
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [[1,2,5,6,7],[3,4],[8]] => 1
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 0
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [8,5,6,4,3,2,7,1] => [[1,3,7],[2],[4],[5],[6],[8]] => 0
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [8,6,4,5,3,2,7,1] => [[1,4,7],[2],[3],[5],[6],[8]] => 0
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [[1,4,7],[2],[3],[5],[6],[8]] => 0
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [8,6,5,3,4,2,7,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 0
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [[1,3,7],[2,5],[4],[6],[8]] => 1
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 0
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [8,6,3,4,5,2,7,1] => [[1,4,5,7],[2],[3],[6],[8]] => 0
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 0
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [[1,3,5,7],[2],[4],[6],[8]] => 0
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [8,4,3,5,6,2,7,1] => [[1,4,5,7],[2],[3],[6],[8]] => 0
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [[1,3,4,5,7],[2],[6],[8]] => 0
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,2,3,7,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 0
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [8,6,5,3,2,4,7,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 0
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [8,6,4,3,2,5,7,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 0
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => 0
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [[1,4,5,6,7],[2],[3],[8]] => 0
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 0
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [8,4,5,3,2,6,7,1] => [[1,3,6,7],[2],[4],[5],[8]] => 0
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [[1,4,6,7],[2],[3],[5],[8]] => 0
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [[1,3,4,6,7],[2],[5],[8]] => 0
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [8,5,4,2,3,6,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => 0
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [8,4,5,2,3,6,7,1] => [[1,3,6,7],[2,5],[4],[8]] => 1
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [8,4,3,2,5,6,7,1] => [[1,5,6,7],[2],[3],[4],[8]] => 0
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [[1,3,5,6,7],[2],[4],[8]] => 0
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [8,4,2,3,5,6,7,1] => [[1,4,5,6,7],[2],[3],[8]] => 0
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [[1,4,5,6,7],[2],[3],[8]] => 0
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [[1,3,4,5,6,7],[2],[8]] => 0
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 0
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [[1,2,7],[3],[4],[5],[6],[8]] => 0
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [7,5,6,4,3,2,8,1] => [[1,3,7],[2],[4],[5],[6],[8]] => 0
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [[1,3,7],[2],[4],[5],[6],[8]] => 0
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [[1,2,3,7],[4],[5],[6],[8]] => 0
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [[1,4,7],[2],[3],[5],[6],[8]] => 0
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [6,7,4,5,3,2,8,1] => [[1,2,7],[3,4],[5],[6],[8]] => 1
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [7,4,5,6,3,2,8,1] => [[1,3,4,7],[2],[5],[6],[8]] => 0
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [[1,4,7],[2],[3],[5],[6],[8]] => 0
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [6,4,5,7,3,2,8,1] => [[1,3,4,7],[2],[5],[6],[8]] => 0
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [[1,2,3,4,7],[5],[6],[8]] => 0
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [7,6,5,3,4,2,8,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 0
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [[1,3,7],[2,5],[4],[6],[8]] => 1
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [[1,3,7],[2,5],[4],[6],[8]] => 1
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [7,6,4,3,5,2,8,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 0
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [7,6,3,4,5,2,8,1] => [[1,4,5,7],[2],[3],[6],[8]] => 0
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 0
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => 0
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [7,5,3,4,6,2,8,1] => [[1,4,5,7],[2],[3],[6],[8]] => 0
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [7,3,4,5,6,2,8,1] => [[1,3,4,5,7],[2],[6],[8]] => 0
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 0
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => 0
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [[1,3,5,7],[2],[4],[6],[8]] => 0
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [[1,2,3,5,7],[4],[6],[8]] => 0
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [[1,4,5,7],[2],[3],[6],[8]] => 0
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [[1,2,5,7],[3,4],[6],[8]] => 1
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [[1,4,5,7],[2],[3],[6],[8]] => 0
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [6,3,4,5,7,2,8,1] => [[1,3,4,5,7],[2],[6],[8]] => 0
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [[1,4,5,7],[2],[3],[6],[8]] => 0
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [[1,2,4,5,7],[3],[6],[8]] => 0
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [[1,3,4,5,7],[2],[6],[8]] => 0
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [[1,2,3,4,5,7],[6],[8]] => 0
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 0
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [[1,2,7],[3,6],[4],[5],[8]] => 1
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,2,3,8,1] => [[1,3,7],[2,6],[4],[5],[8]] => 1
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,2,3,8,1] => [[1,3,7],[2,6],[4],[5],[8]] => 1
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [5,6,7,4,2,3,8,1] => [[1,2,3,7],[4,6],[5],[8]] => 1
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,2,3,8,1] => [[1,4,7],[2,6],[3],[5],[8]] => 1
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [[1,2,7],[3,4],[5,6],[8]] => 2
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,2,3,8,1] => [[1,4,7],[2,6],[3],[5],[8]] => 1
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [7,4,5,6,2,3,8,1] => [[1,3,4,7],[2,6],[5],[8]] => 1
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,2,3,8,1] => [[1,4,7],[2,6],[3],[5],[8]] => 1
[.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [5,6,4,7,2,3,8,1] => [[1,2,4,7],[3,6],[5],[8]] => 1
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [[1,3,4,7],[2,6],[5],[8]] => 1
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [[1,2,3,4,7],[5,6],[8]] => 1
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [7,6,5,3,2,4,8,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 0
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [6,7,5,3,2,4,8,1] => [[1,2,7],[3,6],[4],[5],[8]] => 1
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [6,5,7,3,2,4,8,1] => [[1,3,7],[2,6],[4],[5],[8]] => 1
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 0
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [7,5,6,2,3,4,8,1] => [[1,3,6,7],[2,5],[4],[8]] => 1
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [[1,2,3,7],[4,5,6],[8]] => 3
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [[1,2,7],[3,6],[4],[5],[8]] => 1
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [7,6,4,2,3,5,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 0
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 0
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [[1,2,6,7],[3,5],[4],[8]] => 1
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [7,6,2,3,4,5,8,1] => [[1,4,5,6,7],[2],[3],[8]] => 0
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [[1,2,5,6,7],[3,4],[8]] => 1
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [7,5,4,3,2,6,8,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 0
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [7,4,3,5,2,6,8,1] => [[1,4,6,7],[2],[3],[5],[8]] => 0
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 0
[.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [[1,3,6,7],[2,5],[4],[8]] => 1
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 0
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [7,5,2,3,4,6,8,1] => [[1,4,5,6,7],[2],[3],[8]] => 0
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [7,4,3,2,5,6,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 0
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [[1,4,5,6,7],[2],[3],[8]] => 0
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [[1,3,4,5,6,7],[2],[8]] => 0
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 0
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [[1,3,6,7],[2],[4],[5],[8]] => 0
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [[1,2,3,6,7],[4],[5],[8]] => 0
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [6,5,3,4,2,7,8,1] => [[1,4,6,7],[2],[3],[5],[8]] => 0
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [[1,3,4,6,7],[2],[5],[8]] => 0
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [[1,4,6,7],[2],[3],[5],[8]] => 0
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [[1,3,4,6,7],[2],[5],[8]] => 0
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [[1,2,3,4,6,7],[5],[8]] => 0
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [6,5,4,2,3,7,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 0
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [5,6,4,2,3,7,8,1] => [[1,2,6,7],[3,5],[4],[8]] => 1
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [6,4,5,2,3,7,8,1] => [[1,3,6,7],[2,5],[4],[8]] => 1
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [5,4,6,2,3,7,8,1] => [[1,3,6,7],[2,5],[4],[8]] => 1
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [4,5,6,2,3,7,8,1] => [[1,2,3,6,7],[4,5],[8]] => 1
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [6,5,3,2,4,7,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 0
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [6,5,2,3,4,7,8,1] => [[1,4,5,6,7],[2],[3],[8]] => 0
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [[1,3,4,5,6,7],[2],[8]] => 0
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [[1,5,6,7],[2],[3],[4],[8]] => 0
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [[1,2,5,6,7],[3],[4],[8]] => 0
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [[1,3,5,6,7],[2],[4],[8]] => 0
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [[1,3,5,6,7],[2],[4],[8]] => 0
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [[1,2,3,5,6,7],[4],[8]] => 0
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [5,4,2,3,6,7,8,1] => [[1,4,5,6,7],[2],[3],[8]] => 0
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [4,5,2,3,6,7,8,1] => [[1,2,5,6,7],[3,4],[8]] => 1
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [5,3,2,4,6,7,8,1] => [[1,4,5,6,7],[2],[3],[8]] => 0
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [[1,3,4,5,6,7],[2],[8]] => 0
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [[1,4,5,6,7],[2],[3],[8]] => 0
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [[1,2,4,5,6,7],[3],[8]] => 0
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [[1,3,4,5,6,7],[2],[8]] => 0
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [[1,3,4,5,6,7],[2],[8]] => 0
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [[1,2,3,4,5,6,7],[8]] => 0
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [[1,8],[2],[3],[4],[5],[6],[7]] => 0
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [[1,2],[3,8],[4],[5],[6],[7]] => 1
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [[1,3],[2,8],[4],[5],[6],[7]] => 1
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,3,1,2] => [[1,3],[2,8],[4],[5],[6],[7]] => 1
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [[1,2,3],[4,8],[5],[6],[7]] => 1
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [[1,4],[2,8],[3],[5],[6],[7]] => 1
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [[1,2],[3,4],[5,8],[6],[7]] => 2
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [[1,4],[2,8],[3],[5],[6],[7]] => 1
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,3,1,2] => [[1,4],[2,8],[3],[5],[6],[7]] => 1
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,3,1,2] => [[1,2,4],[3,8],[5],[6],[7]] => 1
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,3,1,2] => [[1,3,4],[2,8],[5],[6],[7]] => 1
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [[1,3,4],[2,8],[5],[6],[7]] => 1
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [[1,2,3,4],[5,8],[6],[7]] => 1
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [[1,5],[2,8],[3],[4],[6],[7]] => 1
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [[1,2],[3,5],[4,8],[6],[7]] => 2
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [[1,3],[2,5],[4,8],[6],[7]] => 2
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,3,1,2] => [[1,2,3],[4,5],[6,8],[7]] => 2
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [[1,5],[2,8],[3],[4],[6],[7]] => 1
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,3,1,2] => [[1,3,5],[2,8],[4],[6],[7]] => 1
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,3,1,2] => [[1,4,5],[2,8],[3],[6],[7]] => 1
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [8,5,4,6,7,3,1,2] => [[1,4,5],[2,8],[3],[6],[7]] => 1
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,3,1,2] => [[1,5],[2,8],[3],[4],[6],[7]] => 1
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,3,1,2] => [[1,3,5],[2,8],[4],[6],[7]] => 1
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,3,1,2] => [[1,3,5],[2,8],[4],[6],[7]] => 1
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,3,1,2] => [[1,4,5],[2,8],[3],[6],[7]] => 1
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,3,1,2] => [[1,2,5],[3,4],[6,8],[7]] => 2
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,3,1,2] => [[1,4,5],[2,8],[3],[6],[7]] => 1
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,3,1,2] => [[1,2,4,5],[3,8],[6],[7]] => 1
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,3,1,2] => [[1,3,4,5],[2,8],[6],[7]] => 1
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [[1,2,3,4,5],[6,8],[7]] => 1
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [[1,6],[2,8],[3],[4],[5],[7]] => 1
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [[1,2],[3,6],[4,8],[5],[7]] => 2
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,4,1,2] => [[1,3],[2,6],[4,8],[5],[7]] => 2
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [[1,2,3],[4,6],[5,8],[7]] => 2
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => 2
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [[1,2],[3,4],[5,6],[7,8]] => 3
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,4,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => 2
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [[1,3,4],[2,6],[5,8],[7]] => 2
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [[1,4],[2,6],[3,8],[5],[7]] => 2
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [[1,2,4],[3,6],[5,8],[7]] => 2
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [[1,3,4],[2,6],[5,8],[7]] => 2
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [[1,3,4],[2,6],[5,8],[7]] => 2
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [[1,2,3,4],[5,6],[7,8]] => 2
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [6,7,8,4,3,5,1,2] => [[1,2,3],[4,6],[5,8],[7]] => 2
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [[1,5,6],[2,8],[3],[4],[7]] => 1
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [[1,3,6],[2,5],[4,8],[7]] => 2
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [[1,2],[3,6],[4,8],[5],[7]] => 2
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [8,7,4,5,3,6,1,2] => [[1,4,6],[2,8],[3],[5],[7]] => 1
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [[1,2,6],[3,4],[5,8],[7]] => 2
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [[1,2,6],[3,5],[4,8],[7]] => 2
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [8,7,4,3,5,6,1,2] => [[1,5,6],[2,8],[3],[4],[7]] => 1
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [[1,2,6],[3,5],[4,8],[7]] => 2
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [8,7,3,4,5,6,1,2] => [[1,4,5,6],[2,8],[3],[7]] => 1
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [[1,2,5,6],[3,4],[7,8]] => 2
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,3,7,1,2] => [[1,6],[2,8],[3],[4],[5],[7]] => 1
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,3,7,1,2] => [[1,4,6],[2,8],[3],[5],[7]] => 1
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [8,5,4,3,6,7,1,2] => [[1,5,6],[2,8],[3],[4],[7]] => 1
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [8,5,3,4,6,7,1,2] => [[1,4,5,6],[2,8],[3],[7]] => 1
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [[1,4,5,6],[2,8],[3],[7]] => 1
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [[1,3,4,5,6],[2,8],[7]] => 1
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [[1,6],[2,8],[3],[4],[5],[7]] => 1
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,3,8,1,2] => [[1,3,6],[2,8],[4],[5],[7]] => 1
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [5,6,7,4,3,8,1,2] => [[1,2,3,6],[4,8],[5],[7]] => 1
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [[1,2,6],[3,4],[5,8],[7]] => 2
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,3,8,1,2] => [[1,4,6],[2,8],[3],[5],[7]] => 1
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [[1,4,6],[2,8],[3],[5],[7]] => 1
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [[1,2,4,6],[3,8],[5],[7]] => 1
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [4,5,6,7,3,8,1,2] => [[1,2,3,4,6],[5,8],[7]] => 1
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [7,6,5,3,4,8,1,2] => [[1,5,6],[2,8],[3],[4],[7]] => 1
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [7,6,4,3,5,8,1,2] => [[1,5,6],[2,8],[3],[4],[7]] => 1
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [7,6,3,4,5,8,1,2] => [[1,4,5,6],[2,8],[3],[7]] => 1
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [7,5,4,3,6,8,1,2] => [[1,5,6],[2,8],[3],[4],[7]] => 1
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [7,4,5,3,6,8,1,2] => [[1,3,5,6],[2,8],[4],[7]] => 1
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [7,5,3,4,6,8,1,2] => [[1,4,5,6],[2,8],[3],[7]] => 1
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [[1,3,4,5,6],[2,8],[7]] => 1
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [[1,5,6],[2,8],[3],[4],[7]] => 1
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [5,6,4,3,7,8,1,2] => [[1,2,5,6],[3,8],[4],[7]] => 1
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [[1,3,5,6],[2,8],[4],[7]] => 1
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [4,5,6,3,7,8,1,2] => [[1,2,3,5,6],[4,8],[7]] => 1
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [[1,2,5,6],[3,4],[7,8]] => 2
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [[1,4,5,6],[2,8],[3],[7]] => 1
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [[1,3,4,5,6],[2,8],[7]] => 1
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [[1,4,5,6],[2,8],[3],[7]] => 1
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [[1,2,4,5,6],[3,8],[7]] => 1
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [5,3,4,6,7,8,1,2] => [[1,3,4,5,6],[2,8],[7]] => 1
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [[1,3,4,5,6],[2,8],[7]] => 1
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [[1,2,3,4,5,6],[7,8]] => 1
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [[1,8],[2],[3],[4],[5],[6],[7]] => 0
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [[1,2],[3,8],[4],[5],[6],[7]] => 1
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [8,6,7,5,4,2,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => 1
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [[1,3],[2,8],[4],[5],[6],[7]] => 1
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,2,1,3] => [[1,2,3],[4,8],[5],[6],[7]] => 1
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [8,7,5,6,4,2,1,3] => [[1,4],[2,8],[3],[5],[6],[7]] => 1
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [[1,2],[3,4],[5,8],[6],[7]] => 2
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [[1,4],[2,8],[3],[5],[6],[7]] => 1
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,2,1,3] => [[1,2,4],[3,8],[5],[6],[7]] => 1
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,2,1,3] => [[1,3,4],[2,8],[5],[6],[7]] => 1
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,2,1,3] => [[1,3,4],[2,8],[5],[6],[7]] => 1
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [[1,2,3,4],[5,8],[6],[7]] => 1
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,2,1,3] => [[1,5],[2,8],[3],[4],[6],[7]] => 1
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,2,1,3] => [[1,3,4,5],[2,8],[6],[7]] => 1
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,2,1,3] => [[1,5],[2,8],[3],[4],[6],[7]] => 1
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,2,1,3] => [[1,2,5],[3,8],[4],[6],[7]] => 1
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [[1,3,5],[2,8],[4],[6],[7]] => 1
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,2,1,3] => [[1,2,3,5],[4,8],[6],[7]] => 1
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,2,1,3] => [[1,4,5],[2,8],[3],[6],[7]] => 1
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,2,1,3] => [[1,3,4,5],[2,8],[6],[7]] => 1
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,2,1,3] => [[1,3,4,5],[2,8],[6],[7]] => 1
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [[1,2,3,4,5],[6,8],[7]] => 1
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [[1,2,8],[3,7],[4],[5],[6]] => 1
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,1,2,3] => [[1,3,8],[2,7],[4],[5],[6]] => 1
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [[1,2,3],[4,7,8],[5],[6]] => 3
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,1,2,3] => [[1,2,8],[3,4],[5,7],[6]] => 2
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,1,2,3] => [[1,4,8],[2,7],[3],[5],[6]] => 1
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,1,2,3] => [[1,4,8],[2,7],[3],[5],[6]] => 1
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,1,2,3] => [[1,2,4],[3,7,8],[5],[6]] => 3
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,1,2,3] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,1,2,3] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [[1,2,3,4],[5,7,8],[6]] => 3
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => [[1,5,8],[2,7],[3],[4],[6]] => 1
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [[1,3,8],[2,5],[4,7],[6]] => 2
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,1,2,3] => [[1,2,3],[4,5,8],[6,7]] => 4
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,1,2,3] => [[1,5,8],[2,7],[3],[4],[6]] => 1
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,1,2,3] => [[1,2,8],[3,5],[4,7],[6]] => 2
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [[1,4,5],[2,7,8],[3],[6]] => 3
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [[1,2,5],[3,4,8],[6,7]] => 4
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,1,2,3] => [[1,5,8],[2,7],[3],[4],[6]] => 1
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [8,5,6,4,7,1,2,3] => [[1,3,5],[2,7,8],[4],[6]] => 3
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,1,2,3] => [[1,4,5],[2,7,8],[3],[6]] => 3
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,1,2,3] => [[1,4,5],[2,7,8],[3],[6]] => 3
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [[1,3,4,5],[2,7,8],[6]] => 3
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [[1,5,8],[2,7],[3],[4],[6]] => 1
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,1,2,3] => [[1,2,5],[3,7,8],[4],[6]] => 3
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,1,2,3] => [[1,3,5],[2,7,8],[4],[6]] => 3
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,1,2,3] => [[1,2,3,5],[4,7,8],[6]] => 3
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [[1,2,5],[3,4,8],[6,7]] => 4
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [[1,4,5],[2,7,8],[3],[6]] => 3
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [[1,4,5],[2,7,8],[3],[6]] => 3
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,1,2,3] => [[1,2,4,5],[3,7,8],[6]] => 3
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [[1,3,4,5],[2,7,8],[6]] => 3
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [[1,2,3,4,5],[6,7,8]] => 3
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [[1,8],[2],[3],[4],[5],[6],[7]] => 0
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,2,1,4] => [[1,2],[3,8],[4],[5],[6],[7]] => 1
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [[1,3],[2,8],[4],[5],[6],[7]] => 1
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,2,1,4] => [[1,3],[2,8],[4],[5],[6],[7]] => 1
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,2,1,4] => [[1,2,3],[4,8],[5],[6],[7]] => 1
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [[1,4],[2,8],[3],[5],[6],[7]] => 1
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [[1,2],[3,4],[5,8],[6],[7]] => 2
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [[1,4],[2,8],[3],[5],[6],[7]] => 1
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => 1
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [[1,4],[2,8],[3],[5],[6],[7]] => 1
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [[1,2,4],[3,8],[5],[6],[7]] => 1
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,2,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => 1
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [[1,3,4],[2,8],[5],[6],[7]] => 1
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [[1,2,3,4],[5,8],[6],[7]] => 1
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [[1,6,8],[2],[3],[4],[5],[7]] => 0
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,3,1,4] => [[1,2,8],[3,6],[4],[5],[7]] => 1
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [[1,3,8],[2,6],[4],[5],[7]] => 1
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,3,1,4] => [[1,3,8],[2,6],[4],[5],[7]] => 1
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [6,7,8,5,2,3,1,4] => [[1,2,3],[4,6,8],[5],[7]] => 3
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,3,1,4] => [[1,4,8],[2,6],[3],[5],[7]] => 1
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [[1,2,8],[3,4],[5,6],[7]] => 2
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,3,1,4] => [[1,4,8],[2,6],[3],[5],[7]] => 1
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [8,5,6,7,2,3,1,4] => [[1,3,4],[2,6,8],[5],[7]] => 3
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [[1,4,8],[2,6],[3],[5],[7]] => 1
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [[1,2,4],[3,6,8],[5],[7]] => 3
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [[1,3,4],[2,6,8],[5],[7]] => 3
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [6,5,7,8,2,3,1,4] => [[1,3,4],[2,6,8],[5],[7]] => 3
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [[1,2,3,4],[5,6,8],[7]] => 3
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,1,2,4] => [[1,2,8],[3,7],[4],[5],[6]] => 1
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,1,2,4] => [[1,3,8],[2,7],[4],[5],[6]] => 1
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,1,2,4] => [[1,3,8],[2,7],[4],[5],[6]] => 1
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [[1,4,8],[2,7],[3],[5],[6]] => 1
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [[1,2,8],[3,4],[5,7],[6]] => 2
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,1,2,4] => [[1,4,8],[2,7],[3],[5],[6]] => 1
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [[1,2,4],[3,7,8],[5],[6]] => 3
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [[1,2,3,4],[5,7,8],[6]] => 3
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [[1,2,8],[3,7],[4],[5],[6]] => 1
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,1,3,4] => [[1,3,8],[2,7],[4],[5],[6]] => 1
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [[1,2,3],[4,7,8],[5],[6]] => 3
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,1,3,4] => [[1,4,8],[2,7],[3],[5],[6]] => 1
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [[1,2,8],[3,4],[5,7],[6]] => 2
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,1,3,4] => [[1,4,8],[2,7],[3],[5],[6]] => 1
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [8,5,6,7,2,1,3,4] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,1,3,4] => [[1,4,8],[2,7],[3],[5],[6]] => 1
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [[1,2,4],[3,7,8],[5],[6]] => 3
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [7,5,6,8,2,1,3,4] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [[1,3,4],[2,7,8],[5],[6]] => 3
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [[1,2,3,4],[5,7,8],[6]] => 3
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [[1,2,7,8],[3,6],[4],[5]] => 1
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [[1,3,7,8],[2,6],[4],[5]] => 1
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [[1,3,7,8],[2,6],[4],[5]] => 1
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [[1,2,3,8],[4,6,7],[5]] => 3
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [[1,4,7,8],[2,6],[3],[5]] => 1
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [[1,2,7,8],[3,4],[5,6]] => 2
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [[1,4,7,8],[2,6],[3],[5]] => 1
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [[1,3,4,8],[2,6,7],[5]] => 3
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [[1,4,7,8],[2,6],[3],[5]] => 1
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [[1,2,4,8],[3,6,7],[5]] => 3
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [[1,3,4,8],[2,6,7],[5]] => 3
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [[1,3,4,8],[2,6,7],[5]] => 3
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [[1,2,3,4],[5,6,7,8]] => 6
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [[1,8],[2],[3],[4],[5],[6],[7]] => 0
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [[1,2],[3,8],[4],[5],[6],[7]] => 1
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [8,6,7,4,3,2,1,5] => [[1,3],[2,8],[4],[5],[6],[7]] => 1
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [[1,3],[2,8],[4],[5],[6],[7]] => 1
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [[1,2,3],[4,8],[5],[6],[7]] => 1
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [[1,5,8],[2],[3],[4],[6],[7]] => 0
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [7,8,6,3,4,2,1,5] => [[1,2,8],[3,5],[4],[6],[7]] => 1
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [6,7,8,3,4,2,1,5] => [[1,2,3],[4,5,8],[6],[7]] => 3
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [[1,6,8],[2],[3],[4],[5],[7]] => 0
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,2,3,1,5] => [[1,3,8],[2,6],[4],[5],[7]] => 1
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [[1,2,3],[4,6,8],[5],[7]] => 3
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [[1,6,8],[2],[3],[4],[5],[7]] => 0
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [8,6,7,3,2,4,1,5] => [[1,3,8],[2,6],[4],[5],[7]] => 1
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [6,7,8,3,2,4,1,5] => [[1,2,3],[4,6,8],[5],[7]] => 3
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [[1,5,6,8],[2],[3],[4],[7]] => 0
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [8,6,7,2,3,4,1,5] => [[1,3,6,8],[2,5],[4],[7]] => 1
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [7,6,8,2,3,4,1,5] => [[1,3,6,8],[2,5],[4],[7]] => 1
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [6,7,8,2,3,4,1,5] => [[1,2,3,8],[4,5,6],[7]] => 3
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [[1,2,3],[4,7,8],[5],[6]] => 3
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [[1,5,8],[2,7],[3],[4],[6]] => 1
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [7,8,6,3,4,1,2,5] => [[1,2,8],[3,5],[4,7],[6]] => 2
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [[1,3,8],[2,5],[4,7],[6]] => 2
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [[1,2,3],[4,5,8],[6,7]] => 4
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,2,1,3,5] => [[1,2,8],[3,7],[4],[5],[6]] => 1
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [[1,3,8],[2,7],[4],[5],[6]] => 1
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [6,7,8,4,2,1,3,5] => [[1,2,3],[4,7,8],[5],[6]] => 3
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [[1,2,7,8],[3,6],[4],[5]] => 1
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,1,2,3,5] => [[1,3,7,8],[2,6],[4],[5]] => 1
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [[1,2,3,8],[4,6,7],[5]] => 3
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [7,8,6,3,2,1,4,5] => [[1,2,8],[3,7],[4],[5],[6]] => 1
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [8,6,7,3,2,1,4,5] => [[1,3,8],[2,7],[4],[5],[6]] => 1
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [7,6,8,3,2,1,4,5] => [[1,3,8],[2,7],[4],[5],[6]] => 1
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [[1,2,3],[4,7,8],[5],[6]] => 3
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [[1,5,7,8],[2],[3],[4],[6]] => 0
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [7,8,6,2,3,1,4,5] => [[1,2,7,8],[3,5],[4],[6]] => 1
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [8,6,7,2,3,1,4,5] => [[1,3,7,8],[2,5],[4],[6]] => 1
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [7,6,8,2,3,1,4,5] => [[1,3,7,8],[2,5],[4],[6]] => 1
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [[1,2,3,8],[4,5,7],[6]] => 3
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [7,8,6,3,1,2,4,5] => [[1,2,7,8],[3,6],[4],[5]] => 1
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [8,6,7,3,1,2,4,5] => [[1,3,7,8],[2,6],[4],[5]] => 1
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [7,6,8,3,1,2,4,5] => [[1,3,7,8],[2,6],[4],[5]] => 1
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [6,7,8,3,1,2,4,5] => [[1,2,3,8],[4,6,7],[5]] => 3
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [7,8,6,2,1,3,4,5] => [[1,2,7,8],[3,6],[4],[5]] => 1
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [[1,3,7,8],[2,6],[4],[5]] => 1
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [[1,2,3,8],[4,6,7],[5]] => 3
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [[1,2,6,7,8],[3,5],[4]] => 1
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [[1,3,6,7,8],[2,5],[4]] => 1
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [[1,3,6,7,8],[2,5],[4]] => 1
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [[1,2,3,7,8],[4,5,6]] => 3
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [[1,8],[2],[3],[4],[5],[6],[7]] => 0
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [[1,2],[3,8],[4],[5],[6],[7]] => 1
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [8,7,4,5,3,2,1,6] => [[1,4,8],[2],[3],[5],[6],[7]] => 0
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [7,8,4,5,3,2,1,6] => [[1,2,8],[3,4],[5],[6],[7]] => 1
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [[1,5,8],[2],[3],[4],[6],[7]] => 0
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [8,7,3,4,5,2,1,6] => [[1,4,5,8],[2],[3],[6],[7]] => 0
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [7,8,3,4,5,2,1,6] => [[1,2,5,8],[3,4],[6],[7]] => 1
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [[1,4,8],[2,6],[3],[5],[7]] => 1
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [7,8,4,5,2,3,1,6] => [[1,2,8],[3,4],[5,6],[7]] => 2
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [[1,6,8],[2],[3],[4],[5],[7]] => 0
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [7,8,5,2,3,4,1,6] => [[1,2,6,8],[3,5],[4],[7]] => 1
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [8,7,4,3,2,5,1,6] => [[1,6,8],[2],[3],[4],[5],[7]] => 0
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [7,8,4,3,2,5,1,6] => [[1,2,8],[3,6],[4],[5],[7]] => 1
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [8,7,3,4,2,5,1,6] => [[1,4,6,8],[2],[3],[5],[7]] => 0
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [[1,2,6,8],[3,4],[5],[7]] => 1
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [8,7,2,3,4,5,1,6] => [[1,4,5,6,8],[2],[3],[7]] => 0
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [7,8,2,3,4,5,1,6] => [[1,2,5,6,8],[3,4],[7]] => 1
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [7,8,5,4,3,1,2,6] => [[1,2,8],[3,7],[4],[5],[6]] => 1
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [8,7,5,3,4,1,2,6] => [[1,5,8],[2,7],[3],[4],[6]] => 1
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [[1,4,5,8],[2,7],[3],[6]] => 1
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [7,8,3,4,5,1,2,6] => [[1,2,5,8],[3,4],[6,7]] => 2
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [[1,2,8],[3,7],[4],[5],[6]] => 1
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,1,2,3,6] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [[1,2,7,8],[3,6],[4],[5]] => 1
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [8,7,4,5,1,2,3,6] => [[1,4,7,8],[2,6],[3],[5]] => 1
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [[1,2,7,8],[3,4],[5,6]] => 2
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [7,8,5,3,2,1,4,6] => [[1,2,8],[3,7],[4],[5],[6]] => 1
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [7,8,5,3,1,2,4,6] => [[1,2,7,8],[3,6],[4],[5]] => 1
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [[1,2,7,8],[3,6],[4],[5]] => 1
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [[1,2,6,7,8],[3,5],[4]] => 1
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [[1,2,8],[3,7],[4],[5],[6]] => 1
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [8,7,3,4,2,1,5,6] => [[1,4,7,8],[2],[3],[5],[6]] => 0
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [7,8,3,4,2,1,5,6] => [[1,2,7,8],[3,4],[5],[6]] => 1
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [7,8,4,2,3,1,5,6] => [[1,2,7,8],[3,5],[4],[6]] => 1
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [8,7,3,2,4,1,5,6] => [[1,5,7,8],[2],[3],[4],[6]] => 0
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [[1,2,7,8],[3,5],[4],[6]] => 1
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [8,7,2,3,4,1,5,6] => [[1,4,5,7,8],[2],[3],[6]] => 0
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [[1,2,5,7,8],[3,4],[6]] => 1
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [7,8,4,3,1,2,5,6] => [[1,2,7,8],[3,6],[4],[5]] => 1
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [8,7,3,4,1,2,5,6] => [[1,4,7,8],[2,6],[3],[5]] => 1
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [[1,2,7,8],[3,4],[5,6]] => 2
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [[1,2,7,8],[3,6],[4],[5]] => 1
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [7,8,4,1,2,3,5,6] => [[1,2,6,7,8],[3,5],[4]] => 1
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [[1,2,7,8],[3,6],[4],[5]] => 1
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [8,7,2,3,1,4,5,6] => [[1,4,6,7,8],[2],[3],[5]] => 0
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [[1,2,6,7,8],[3,4],[5]] => 1
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [7,8,3,1,2,4,5,6] => [[1,2,6,7,8],[3,5],[4]] => 1
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [[1,2,6,7,8],[3,5],[4]] => 1
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [[1,2,5,6,7,8],[3,4]] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [[1,8],[2],[3],[4],[5],[6],[7]] => 0
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [[1,3,8],[2],[4],[5],[6],[7]] => 0
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [8,6,4,5,3,2,1,7] => [[1,4,8],[2],[3],[5],[6],[7]] => 0
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [[1,3,4,8],[2],[5],[6],[7]] => 0
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [[1,5,8],[2],[3],[4],[6],[7]] => 0
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [8,5,6,3,4,2,1,7] => [[1,3,8],[2,5],[4],[6],[7]] => 1
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [8,4,5,3,6,2,1,7] => [[1,3,5,8],[2],[4],[6],[7]] => 0
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [[1,4,5,8],[2],[3],[6],[7]] => 0
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [8,3,4,5,6,2,1,7] => [[1,3,4,5,8],[2],[6],[7]] => 0
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [[1,6,8],[2],[3],[4],[5],[7]] => 0
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [8,5,6,4,2,3,1,7] => [[1,3,8],[2,6],[4],[5],[7]] => 1
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [8,4,5,6,2,3,1,7] => [[1,3,4,8],[2,6],[5],[7]] => 1
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [[1,6,8],[2],[3],[4],[5],[7]] => 0
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [8,6,5,2,3,4,1,7] => [[1,5,6,8],[2],[3],[4],[7]] => 0
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [8,5,6,2,3,4,1,7] => [[1,3,6,8],[2,5],[4],[7]] => 1
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [8,6,4,2,3,5,1,7] => [[1,5,6,8],[2],[3],[4],[7]] => 0
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [[1,5,6,8],[2],[3],[4],[7]] => 0
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [[1,6,8],[2],[3],[4],[5],[7]] => 0
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [[1,4,6,8],[2],[3],[5],[7]] => 0
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [8,5,4,2,3,6,1,7] => [[1,5,6,8],[2],[3],[4],[7]] => 0
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [[1,3,6,8],[2,5],[4],[7]] => 1
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [[1,5,6,8],[2],[3],[4],[7]] => 0
[[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [8,5,2,3,4,6,1,7] => [[1,4,5,6,8],[2],[3],[7]] => 0
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [8,3,4,2,5,6,1,7] => [[1,3,5,6,8],[2],[4],[7]] => 0
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [[1,4,5,6,8],[2],[3],[7]] => 0
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [[1,3,4,5,6,8],[2],[7]] => 0
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,3,1,2,7] => [[1,4,8],[2,7],[3],[5],[6]] => 1
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [[1,5,8],[2,7],[3],[4],[6]] => 1
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [[1,3,8],[2,5],[4,7],[6]] => 2
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [8,6,3,4,5,1,2,7] => [[1,4,5,8],[2,7],[3],[6]] => 1
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [8,5,4,3,6,1,2,7] => [[1,5,8],[2,7],[3],[4],[6]] => 1
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [8,4,5,3,6,1,2,7] => [[1,3,5,8],[2,7],[4],[6]] => 1
[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [8,5,3,4,6,1,2,7] => [[1,4,5,8],[2,7],[3],[6]] => 1
[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [[1,4,5,8],[2,7],[3],[6]] => 1
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [[1,3,4,5,8],[2,7],[6]] => 1
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,2,1,3,7] => [[1,3,8],[2,7],[4],[5],[6]] => 1
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [8,4,5,6,2,1,3,7] => [[1,3,4,8],[2,7],[5],[6]] => 1
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [[1,3,7,8],[2,6],[4],[5]] => 1
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [[1,4,7,8],[2,6],[3],[5]] => 1
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [[1,3,4,8],[2,6,7],[5]] => 3
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [8,5,6,3,2,1,4,7] => [[1,3,8],[2,7],[4],[5],[6]] => 1
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [[1,5,7,8],[2],[3],[4],[6]] => 0
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [[1,3,7,8],[2,5],[4],[6]] => 1
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [8,5,6,3,1,2,4,7] => [[1,3,7,8],[2,6],[4],[5]] => 1
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [[1,3,7,8],[2,6],[4],[5]] => 1
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [[1,3,6,7,8],[2,5],[4]] => 1
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [[1,4,7,8],[2],[3],[5],[6]] => 0
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [8,6,4,2,3,1,5,7] => [[1,5,7,8],[2],[3],[4],[6]] => 0
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [[1,5,7,8],[2],[3],[4],[6]] => 0
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [8,6,2,3,4,1,5,7] => [[1,4,5,7,8],[2],[3],[6]] => 0
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [8,6,4,3,1,2,5,7] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [[1,4,7,8],[2,6],[3],[5]] => 1
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [8,6,3,2,1,4,5,7] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [8,4,5,3,2,1,6,7] => [[1,3,7,8],[2],[4],[5],[6]] => 0
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [8,4,3,5,2,1,6,7] => [[1,4,7,8],[2],[3],[5],[6]] => 0
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [[1,3,4,7,8],[2],[5],[6]] => 0
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [8,4,5,2,3,1,6,7] => [[1,3,7,8],[2,5],[4],[6]] => 1
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [[1,4,5,7,8],[2],[3],[6]] => 0
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [8,4,2,3,5,1,6,7] => [[1,4,5,7,8],[2],[3],[6]] => 0
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [[1,3,4,5,7,8],[2],[6]] => 0
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [8,5,3,4,1,2,6,7] => [[1,4,7,8],[2,6],[3],[5]] => 1
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [8,3,4,5,1,2,6,7] => [[1,3,4,7,8],[2,6],[5]] => 1
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [8,5,4,2,1,3,6,7] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [8,4,5,1,2,3,6,7] => [[1,3,6,7,8],[2,5],[4]] => 1
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [8,5,3,2,1,4,6,7] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [[1,3,6,7,8],[2],[4],[5]] => 0
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [[1,4,6,7,8],[2],[3],[5]] => 0
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [[1,3,4,6,7,8],[2],[5]] => 0
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [[1,3,6,7,8],[2,5],[4]] => 1
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [[1,3,5,6,7,8],[2],[4]] => 0
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [[1,3,4,5,6,7,8],[2]] => 0
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [[1,8],[2],[3],[4],[5],[6],[7]] => 0
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [[1,2,8],[3],[4],[5],[6],[7]] => 0
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [[1,3,8],[2],[4],[5],[6],[7]] => 0
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [[1,3,8],[2],[4],[5],[6],[7]] => 0
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [[1,2,3,8],[4],[5],[6],[7]] => 0
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [[1,4,8],[2],[3],[5],[6],[7]] => 0
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [6,7,4,5,3,2,1,8] => [[1,2,8],[3,4],[5],[6],[7]] => 1
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [7,5,4,6,3,2,1,8] => [[1,4,8],[2],[3],[5],[6],[7]] => 0
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [7,4,5,6,3,2,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => 0
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [[1,4,8],[2],[3],[5],[6],[7]] => 0
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [[1,2,4,8],[3],[5],[6],[7]] => 0
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => 0
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [[1,2,3,4,8],[5],[6],[7]] => 0
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => 0
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [6,7,5,3,4,2,1,8] => [[1,2,8],[3,5],[4],[6],[7]] => 1
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [[1,3,8],[2,5],[4],[6],[7]] => 1
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [6,5,7,3,4,2,1,8] => [[1,3,8],[2,5],[4],[6],[7]] => 1
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [[1,2,3,8],[4,5],[6],[7]] => 1
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => 0
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [6,7,4,3,5,2,1,8] => [[1,2,8],[3,5],[4],[6],[7]] => 1
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [[1,4,5,8],[2],[3],[6],[7]] => 0
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => 0
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [7,3,4,5,6,2,1,8] => [[1,3,4,5,8],[2],[6],[7]] => 0
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => 0
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [[1,2,5,8],[3],[4],[6],[7]] => 0
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [[1,3,5,8],[2],[4],[6],[7]] => 0
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [[1,4,5,8],[2],[3],[6],[7]] => 0
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [[1,2,3,4,5,8],[6],[7]] => 0
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => 0
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [[1,2,8],[3,6],[4],[5],[7]] => 1
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [[1,3,8],[2,6],[4],[5],[7]] => 1
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [[1,2,3,8],[4,6],[5],[7]] => 1
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [[1,4,8],[2,6],[3],[5],[7]] => 1
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [[1,2,8],[3,4],[5,6],[7]] => 2
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [7,5,4,6,2,3,1,8] => [[1,4,8],[2,6],[3],[5],[7]] => 1
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [6,5,4,7,2,3,1,8] => [[1,4,8],[2,6],[3],[5],[7]] => 1
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [[1,2,4,8],[3,6],[5],[7]] => 1
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [5,4,6,7,2,3,1,8] => [[1,3,4,8],[2,6],[5],[7]] => 1
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [4,5,6,7,2,3,1,8] => [[1,2,3,4,8],[5,6],[7]] => 1
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [7,6,5,3,2,4,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => 0
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [[1,3,8],[2,6],[4],[5],[7]] => 1
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [[1,2,3,8],[4,6],[5],[7]] => 1
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => 0
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [[1,2,6,8],[3,5],[4],[7]] => 1
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [[1,3,6,8],[2,5],[4],[7]] => 1
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [[1,3,6,8],[2,5],[4],[7]] => 1
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [[1,2,3,8],[4,5,6],[7]] => 3
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [7,6,4,3,2,5,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => 0
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [6,7,4,3,2,5,1,8] => [[1,2,8],[3,6],[4],[5],[7]] => 1
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [6,7,3,4,2,5,1,8] => [[1,2,6,8],[3,4],[5],[7]] => 1
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => 0
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [6,7,4,2,3,5,1,8] => [[1,2,6,8],[3,5],[4],[7]] => 1
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => 0
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [6,7,3,2,4,5,1,8] => [[1,2,6,8],[3,5],[4],[7]] => 1
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [7,6,2,3,4,5,1,8] => [[1,4,5,6,8],[2],[3],[7]] => 0
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [6,7,2,3,4,5,1,8] => [[1,2,5,6,8],[3,4],[7]] => 1
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => 0
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [7,4,5,3,2,6,1,8] => [[1,3,6,8],[2],[4],[5],[7]] => 0
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [7,5,3,4,2,6,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => 0
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [7,4,3,5,2,6,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => 0
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [7,4,5,2,3,6,1,8] => [[1,3,6,8],[2,5],[4],[7]] => 1
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => 0
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [7,4,2,3,5,6,1,8] => [[1,4,5,6,8],[2],[3],[7]] => 0
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [[1,3,4,5,6,8],[2],[7]] => 0
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => 0
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [[1,2,6,8],[3],[4],[5],[7]] => 0
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [[1,3,6,8],[2],[4],[5],[7]] => 0
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [[1,2,6,8],[3,4],[5],[7]] => 1
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [[1,3,4,6,8],[2],[5],[7]] => 0
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [[1,4,6,8],[2],[3],[5],[7]] => 0
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [[1,2,4,6,8],[3],[5],[7]] => 0
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [[1,3,4,6,8],[2],[5],[7]] => 0
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [[1,3,4,6,8],[2],[5],[7]] => 0
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [[1,2,3,4,6,8],[5],[7]] => 0
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [5,4,6,2,3,7,1,8] => [[1,3,6,8],[2,5],[4],[7]] => 1
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => 0
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [[1,4,5,6,8],[2],[3],[7]] => 0
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [6,3,2,4,5,7,1,8] => [[1,4,5,6,8],[2],[3],[7]] => 0
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [6,2,3,4,5,7,1,8] => [[1,3,4,5,6,8],[2],[7]] => 0
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [[1,5,6,8],[2],[3],[4],[7]] => 0
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [[1,2,3,5,6,8],[4],[7]] => 0
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [5,4,2,3,6,7,1,8] => [[1,4,5,6,8],[2],[3],[7]] => 0
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [4,5,2,3,6,7,1,8] => [[1,2,5,6,8],[3,4],[7]] => 1
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [5,2,3,4,6,7,1,8] => [[1,3,4,5,6,8],[2],[7]] => 0
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [[1,4,5,6,8],[2],[3],[7]] => 0
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [[1,2,4,5,6,8],[3],[7]] => 0
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [4,2,3,5,6,7,1,8] => [[1,3,4,5,6,8],[2],[7]] => 0
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [[1,3,4,5,6,8],[2],[7]] => 0
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [[1,2,3,4,5,6,8],[7]] => 0
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [[1,2,8],[3,7],[4],[5],[6]] => 1
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [[1,3,8],[2,7],[4],[5],[6]] => 1
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,3,1,2,8] => [[1,4,8],[2,7],[3],[5],[6]] => 1
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [5,4,6,7,3,1,2,8] => [[1,3,4,8],[2,7],[5],[6]] => 1
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [[1,2,3,4,8],[5,7],[6]] => 1
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [7,6,5,3,4,1,2,8] => [[1,5,8],[2,7],[3],[4],[6]] => 1
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [6,7,3,4,5,1,2,8] => [[1,2,5,8],[3,4],[6,7]] => 2
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [6,5,4,3,7,1,2,8] => [[1,5,8],[2,7],[3],[4],[6]] => 1
[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [6,4,5,3,7,1,2,8] => [[1,3,5,8],[2,7],[4],[6]] => 1
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [[1,2,5,8],[3,4],[6,7]] => 2
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [6,3,4,5,7,1,2,8] => [[1,3,4,5,8],[2,7],[6]] => 1
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [4,3,5,6,7,1,2,8] => [[1,3,4,5,8],[2,7],[6]] => 1
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [[1,2,3,4,5,8],[6,7]] => 1
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,2,1,3,8] => [[1,3,8],[2,7],[4],[5],[6]] => 1
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,2,1,3,8] => [[1,4,8],[2,7],[3],[5],[6]] => 1
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [[1,4,8],[2,7],[3],[5],[6]] => 1
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [5,4,6,7,2,1,3,8] => [[1,3,4,8],[2,7],[5],[6]] => 1
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [4,5,6,7,2,1,3,8] => [[1,2,3,4,8],[5,7],[6]] => 1
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [[1,2,3,8],[4,6,7],[5]] => 3
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [[1,3,4,8],[2,6,7],[5]] => 3
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [[1,3,4,8],[2,6,7],[5]] => 3
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [[1,2,3,4,8],[5,6,7]] => 3
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [7,6,5,2,3,1,4,8] => [[1,5,7,8],[2],[3],[4],[6]] => 0
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [6,7,5,2,3,1,4,8] => [[1,2,7,8],[3,5],[4],[6]] => 1
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [7,5,6,2,3,1,4,8] => [[1,3,7,8],[2,5],[4],[6]] => 1
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [6,5,7,2,3,1,4,8] => [[1,3,7,8],[2,5],[4],[6]] => 1
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [[1,2,3,8],[4,5,7],[6]] => 3
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [7,6,5,2,1,3,4,8] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [6,7,5,2,1,3,4,8] => [[1,2,7,8],[3,6],[4],[5]] => 1
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [7,5,6,2,1,3,4,8] => [[1,3,7,8],[2,6],[4],[5]] => 1
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [[1,2,3,8],[4,6,7],[5]] => 3
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [[1,2,6,7,8],[3,5],[4]] => 1
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [[1,3,6,7,8],[2,5],[4]] => 1
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [[1,3,6,7,8],[2,5],[4]] => 1
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [[1,2,3,7,8],[4,5,6]] => 3
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [7,6,4,3,2,1,5,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [6,7,4,3,2,1,5,8] => [[1,2,8],[3,7],[4],[5],[6]] => 1
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [7,6,3,4,2,1,5,8] => [[1,4,7,8],[2],[3],[5],[6]] => 0
[[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [6,7,3,4,2,1,5,8] => [[1,2,7,8],[3,4],[5],[6]] => 1
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [7,6,4,2,3,1,5,8] => [[1,5,7,8],[2],[3],[4],[6]] => 0
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [7,6,3,2,4,1,5,8] => [[1,5,7,8],[2],[3],[4],[6]] => 0
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [6,7,3,2,4,1,5,8] => [[1,2,7,8],[3,5],[4],[6]] => 1
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [7,6,2,3,4,1,5,8] => [[1,4,5,7,8],[2],[3],[6]] => 0
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [6,7,2,3,4,1,5,8] => [[1,2,5,7,8],[3,4],[6]] => 1
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [6,7,3,4,1,2,5,8] => [[1,2,7,8],[3,4],[5,6]] => 2
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [6,7,3,2,1,4,5,8] => [[1,2,7,8],[3,6],[4],[5]] => 1
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [7,6,2,3,1,4,5,8] => [[1,4,6,7,8],[2],[3],[5]] => 0
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [6,7,2,3,1,4,5,8] => [[1,2,6,7,8],[3,4],[5]] => 1
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [6,7,3,1,2,4,5,8] => [[1,2,6,7,8],[3,5],[4]] => 1
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [[1,2,5,6,7,8],[3,4]] => 1
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [7,4,5,3,2,1,6,8] => [[1,3,7,8],[2],[4],[5],[6]] => 0
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [7,4,3,5,2,1,6,8] => [[1,4,7,8],[2],[3],[5],[6]] => 0
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [7,3,4,5,2,1,6,8] => [[1,3,4,7,8],[2],[5],[6]] => 0
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [7,5,4,2,3,1,6,8] => [[1,5,7,8],[2],[3],[4],[6]] => 0
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [[1,5,7,8],[2],[3],[4],[6]] => 0
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [7,5,2,3,4,1,6,8] => [[1,4,5,7,8],[2],[3],[6]] => 0
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [7,4,2,3,5,1,6,8] => [[1,4,5,7,8],[2],[3],[6]] => 0
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [[1,3,4,5,7,8],[2],[6]] => 0
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [7,5,4,3,1,2,6,8] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [7,4,5,2,1,3,6,8] => [[1,3,7,8],[2,6],[4],[5]] => 1
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [7,4,5,1,2,3,6,8] => [[1,3,6,7,8],[2,5],[4]] => 1
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [7,5,3,2,1,4,6,8] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [7,5,2,3,1,4,6,8] => [[1,4,6,7,8],[2],[3],[5]] => 0
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [7,2,3,4,1,5,6,8] => [[1,3,4,6,7,8],[2],[5]] => 0
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [7,4,3,1,2,5,6,8] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [7,3,4,1,2,5,6,8] => [[1,3,6,7,8],[2,5],[4]] => 1
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [7,2,3,1,4,5,6,8] => [[1,3,5,6,7,8],[2],[4]] => 0
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [[1,3,4,5,6,7,8],[2]] => 0
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [[1,2,7,8],[3],[4],[5],[6]] => 0
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [[1,3,7,8],[2],[4],[5],[6]] => 0
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [[1,2,3,7,8],[4],[5],[6]] => 0
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [[1,4,7,8],[2],[3],[5],[6]] => 0
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [5,6,3,4,2,1,7,8] => [[1,2,7,8],[3,4],[5],[6]] => 1
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [[1,4,7,8],[2],[3],[5],[6]] => 0
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [[1,2,3,4,7,8],[5],[6]] => 0
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [5,4,6,2,3,1,7,8] => [[1,3,7,8],[2,5],[4],[6]] => 1
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [5,6,3,2,4,1,7,8] => [[1,2,7,8],[3,5],[4],[6]] => 1
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [6,5,2,3,4,1,7,8] => [[1,4,5,7,8],[2],[3],[6]] => 0
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [5,6,2,3,4,1,7,8] => [[1,2,5,7,8],[3,4],[6]] => 1
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [6,4,3,2,5,1,7,8] => [[1,5,7,8],[2],[3],[4],[6]] => 0
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [6,2,3,4,5,1,7,8] => [[1,3,4,5,7,8],[2],[6]] => 0
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [[1,5,7,8],[2],[3],[4],[6]] => 0
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [[1,2,5,7,8],[3],[4],[6]] => 0
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [[1,3,5,7,8],[2],[4],[6]] => 0
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [[1,2,3,5,7,8],[4],[6]] => 0
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [5,3,2,4,6,1,7,8] => [[1,4,5,7,8],[2],[3],[6]] => 0
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [[1,3,4,5,7,8],[2],[6]] => 0
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [[1,4,5,7,8],[2],[3],[6]] => 0
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [[1,2,4,5,7,8],[3],[6]] => 0
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [4,2,3,5,6,1,7,8] => [[1,3,4,5,7,8],[2],[6]] => 0
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [[1,3,4,5,7,8],[2],[6]] => 0
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [[1,2,3,4,5,7,8],[6]] => 0
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [6,4,5,3,1,2,7,8] => [[1,3,7,8],[2,6],[4],[5]] => 1
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [[1,3,7,8],[2,6],[4],[5]] => 1
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [[1,2,7,8],[3,4],[5,6]] => 2
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [[1,4,7,8],[2,6],[3],[5]] => 1
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [4,3,5,6,1,2,7,8] => [[1,3,4,7,8],[2,6],[5]] => 1
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [[1,2,3,4,7,8],[5,6]] => 1
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [6,5,4,2,1,3,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [[1,2,7,8],[3,6],[4],[5]] => 1
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [6,4,5,2,1,3,7,8] => [[1,3,7,8],[2,6],[4],[5]] => 1
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [4,5,6,2,1,3,7,8] => [[1,2,3,7,8],[4,6],[5]] => 1
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [[1,2,3,7,8],[4,5,6]] => 3
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [6,5,3,2,1,4,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [[1,2,7,8],[3,6],[4],[5]] => 1
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [5,6,2,1,3,4,7,8] => [[1,2,6,7,8],[3,5],[4]] => 1
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [6,3,4,2,1,5,7,8] => [[1,3,6,7,8],[2],[4],[5]] => 0
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [6,2,3,1,4,5,7,8] => [[1,3,5,6,7,8],[2],[4]] => 0
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [[1,3,4,5,6,7,8],[2]] => 0
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [[1,2,6,7,8],[3],[4],[5]] => 0
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [[1,3,6,7,8],[2],[4],[5]] => 0
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [[1,3,6,7,8],[2],[4],[5]] => 0
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [[1,2,3,6,7,8],[4],[5]] => 0
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [[1,4,6,7,8],[2],[3],[5]] => 0
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [[1,2,6,7,8],[3,4],[5]] => 1
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [[1,4,6,7,8],[2],[3],[5]] => 0
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [[1,3,4,6,7,8],[2],[5]] => 0
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [[1,4,6,7,8],[2],[3],[5]] => 0
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [[1,2,4,6,7,8],[3],[5]] => 0
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [[1,3,4,6,7,8],[2],[5]] => 0
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [[1,3,4,6,7,8],[2],[5]] => 0
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [[1,2,3,4,6,7,8],[5]] => 0
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [5,3,4,1,2,6,7,8] => [[1,3,6,7,8],[2,5],[4]] => 1
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [4,3,5,1,2,6,7,8] => [[1,3,6,7,8],[2,5],[4]] => 1
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [[1,2,3,6,7,8],[4,5]] => 1
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [4,5,2,1,3,6,7,8] => [[1,2,6,7,8],[3,5],[4]] => 1
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [[1,2,5,6,7,8],[3,4]] => 1
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => 0
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 0
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 0
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [[1,2,5,6,7,8],[3],[4]] => 0
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => 0
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => 0
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [[1,2,3,5,6,7,8],[4]] => 0
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [[1,2,5,6,7,8],[3,4]] => 1
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 0
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 0
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [[1,2,4,5,6,7,8],[3]] => 0
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 0
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 0
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8]] => 0
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
13,1 34,8 89,41,1,1 233,171,13,12
$F_{1} = 1$
$F_{2} = 2$
$F_{3} = 5$
$F_{4} = 13 + q$
$F_{5} = 34 + 8\ q$
$F_{6} = 89 + 41\ q + q^{2} + q^{3}$
$F_{7} = 233 + 171\ q + 13\ q^{2} + 12\ q^{3}$
Description
The number of inversions of a standard tableau.
Let $T$ be a tableau. An inversion is an attacking pair $(c,d)$ of the shape of $T$ (see St000016The number of attacking pairs of a standard tableau. for a definition of this) such that the entry of $c$ in $T$ is greater than the entry of $d$.
Let $T$ be a tableau. An inversion is an attacking pair $(c,d)$ of the shape of $T$ (see St000016The number of attacking pairs of a standard tableau. for a definition of this) such that the entry of $c$ in $T$ is greater than the entry of $d$.
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
Robinson-Schensted recording tableau
Description
Sends a permutation to its Robinson-Schensted recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding recording tableau.
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