Identifier
-
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00090: Permutations —cycle-as-one-line notation⟶ Permutations
Mp00090: Permutations —cycle-as-one-line notation⟶ Permutations
St000028: Permutations ⟶ ℤ
Values
[.,.] => [1] => [1] => [1] => 0
[.,[.,.]] => [2,1] => [1,2] => [1,2] => 0
[[.,.],.] => [1,2] => [1,2] => [1,2] => 0
[.,[.,[.,.]]] => [3,2,1] => [1,3,2] => [1,2,3] => 0
[.,[[.,.],.]] => [2,3,1] => [1,2,3] => [1,2,3] => 0
[[.,.],[.,.]] => [1,3,2] => [1,2,3] => [1,2,3] => 0
[[.,[.,.]],.] => [2,1,3] => [1,2,3] => [1,2,3] => 0
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [1,2,3] => 0
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,4,2,3] => [1,2,4,3] => 1
[.,[.,[[.,.],.]]] => [3,4,2,1] => [1,3,2,4] => [1,2,3,4] => 0
[.,[[.,.],[.,.]]] => [2,4,3,1] => [1,2,4,3] => [1,2,3,4] => 0
[.,[[.,[.,.]],.]] => [3,2,4,1] => [1,3,4,2] => [1,2,3,4] => 0
[.,[[[.,.],.],.]] => [2,3,4,1] => [1,2,3,4] => [1,2,3,4] => 0
[[.,.],[.,[.,.]]] => [1,4,3,2] => [1,2,4,3] => [1,2,3,4] => 0
[[.,.],[[.,.],.]] => [1,3,4,2] => [1,2,3,4] => [1,2,3,4] => 0
[[.,[.,.]],[.,.]] => [2,1,4,3] => [1,2,3,4] => [1,2,3,4] => 0
[[[.,.],.],[.,.]] => [1,2,4,3] => [1,2,3,4] => [1,2,3,4] => 0
[[.,[.,[.,.]]],.] => [3,2,1,4] => [1,3,2,4] => [1,2,3,4] => 0
[[.,[[.,.],.]],.] => [2,3,1,4] => [1,2,3,4] => [1,2,3,4] => 0
[[[.,.],[.,.]],.] => [1,3,2,4] => [1,2,3,4] => [1,2,3,4] => 0
[[[.,[.,.]],.],.] => [2,1,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,5,2,4,3] => [1,2,5,3,4] => 1
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [1,4,2,5,3] => [1,2,4,5,3] => 2
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [1,3,4,2,5] => [1,2,3,4,5] => 0
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [1,4,2,3,5] => [1,2,4,3,5] => 1
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [1,3,5,2,4] => [1,2,3,5,4] => 1
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [1,2,5,3,4] => [1,2,3,5,4] => 1
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [1,2,4,3,5] => [1,2,3,4,5] => 0
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [1,3,5,2,4] => [1,2,3,5,4] => 1
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [1,2,3,5,4] => [1,2,3,4,5] => 0
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [1,4,5,2,3] => [1,2,4,3,5] => 1
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [1,3,2,4,5] => [1,2,3,4,5] => 0
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [1,2,4,5,3] => [1,2,3,4,5] => 0
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [1,3,4,5,2] => [1,2,3,4,5] => 0
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [1,2,5,3,4] => [1,2,3,5,4] => 1
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [1,2,4,3,5] => [1,2,3,4,5] => 0
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [1,2,3,5,4] => [1,2,3,4,5] => 0
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [1,2,4,5,3] => [1,2,3,4,5] => 0
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [1,2,3,5,4] => [1,2,3,4,5] => 0
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [1,2,3,5,4] => [1,2,3,4,5] => 0
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [1,3,2,4,5] => [1,2,3,4,5] => 0
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [1,4,2,3,5] => [1,2,4,3,5] => 1
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [1,3,2,4,5] => [1,2,3,4,5] => 0
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [1,2,4,3,5] => [1,2,3,4,5] => 0
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [1,3,4,2,5] => [1,2,3,4,5] => 0
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [1,2,4,3,5] => [1,2,3,4,5] => 0
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [1,3,2,4,5] => [1,2,3,4,5] => 0
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => [1,2,6,4,5,3] => 2
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [1,5,2,6,3,4] => [1,2,5,3,4,6] => 1
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [1,4,3,5,2,6] => [1,2,4,5,3,6] => 2
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [1,5,2,4,3,6] => [1,2,5,3,4,6] => 1
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [1,4,3,6,2,5] => [1,2,4,6,5,3] => 2
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [1,3,5,2,6,4] => [1,2,3,5,6,4] => 2
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [1,3,6,2,5,4] => [1,2,3,6,4,5] => 1
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [1,4,5,2,3,6] => [1,2,4,3,5,6] => 1
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [1,3,6,2,4,5] => [1,2,3,6,5,4] => 1
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [1,5,2,4,6,3] => [1,2,5,6,3,4] => 2
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [1,4,6,2,5,3] => [1,2,4,3,6,5] => 1
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [1,3,4,6,2,5] => [1,2,3,4,6,5] => 1
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [1,4,6,2,3,5] => [1,2,4,3,6,5] => 1
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [1,3,5,2,4,6] => [1,2,3,5,4,6] => 1
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [1,2,6,3,5,4] => [1,2,3,6,4,5] => 1
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [1,2,5,3,6,4] => [1,2,3,5,6,4] => 2
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => 0
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [1,2,4,6,3,5] => [1,2,3,4,6,5] => 1
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [1,3,6,2,4,5] => [1,2,3,6,5,4] => 1
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [1,3,5,4,6,2] => [1,2,3,5,6,4] => 2
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [1,4,6,2,3,5] => [1,2,4,3,6,5] => 1
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [1,2,4,6,3,5] => [1,2,3,4,6,5] => 1
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [1,3,4,6,2,5] => [1,2,3,4,6,5] => 1
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [1,5,6,2,4,3] => [1,2,5,4,3,6] => 1
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [1,4,2,5,6,3] => [1,2,4,5,6,3] => 3
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => 0
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [1,3,5,6,2,4] => [1,2,3,5,4,6] => 1
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [1,2,5,6,3,4] => [1,2,3,5,4,6] => 1
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [1,3,5,6,2,4] => [1,2,3,5,4,6] => 1
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => 0
>>> Load all 1158 entries. <<<[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [1,4,5,6,2,3] => [1,2,4,6,3,5] => 2
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [1,2,4,5,6,3] => [1,2,3,4,5,6] => 0
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [1,3,4,5,6,2] => [1,2,3,4,5,6] => 0
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [1,2,6,3,5,4] => [1,2,3,6,4,5] => 1
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [1,2,5,3,6,4] => [1,2,3,5,6,4] => 2
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => 0
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [1,2,4,6,3,5] => [1,2,3,4,6,5] => 1
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [1,2,4,6,3,5] => [1,2,3,4,6,5] => 1
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [1,2,5,6,3,4] => [1,2,3,5,4,6] => 1
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => 0
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [1,2,4,5,6,3] => [1,2,3,4,5,6] => 0
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => 0
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => 0
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 0
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => 0
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [1,5,2,4,3,6] => [1,2,5,3,4,6] => 1
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [1,4,2,5,3,6] => [1,2,4,5,3,6] => 2
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => 0
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [1,3,5,2,4,6] => [1,2,3,5,4,6] => 1
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [1,3,5,2,4,6] => [1,2,3,5,4,6] => 1
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [1,4,5,2,3,6] => [1,2,4,3,5,6] => 1
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => 0
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [1,3,4,5,2,6] => [1,2,3,4,5,6] => 0
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => 0
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => 0
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [1,3,4,6,2,5,7] => [1,2,3,4,6,5,7] => 1
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [1,2,4,5,7,3,6] => [1,2,3,4,5,7,6] => 1
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [1,2,4,6,3,5,7] => [1,2,3,4,6,5,7] => 1
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => 0
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [1,2,3,5,7,4,6] => [1,2,3,4,5,7,6] => 1
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [1,3,4,2,5,7,6] => [1,2,3,4,5,6,7] => 0
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [1,2,3,5,7,4,6] => [1,2,3,4,5,7,6] => 1
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [1,2,4,5,7,3,6] => [1,2,3,4,5,7,6] => 1
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [1,3,4,5,7,2,6] => [1,2,3,4,5,7,6] => 1
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [1,3,6,7,2,4,5] => [1,2,3,6,4,7,5] => 2
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [1,3,4,6,7,2,5] => [1,2,3,4,6,5,7] => 1
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => 0
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [1,2,4,6,7,3,5] => [1,2,3,4,6,5,7] => 1
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [1,3,6,7,2,4,5] => [1,2,3,6,4,7,5] => 2
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [1,2,3,6,7,4,5] => [1,2,3,4,6,5,7] => 1
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [1,3,2,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [1,2,4,6,7,3,5] => [1,2,3,4,6,5,7] => 1
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [1,3,4,6,7,2,5] => [1,2,3,4,6,5,7] => 1
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => 0
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => 0
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => 0
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [1,2,4,5,7,3,6] => [1,2,3,4,5,7,6] => 1
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [1,2,4,6,3,5,7] => [1,2,3,4,6,5,7] => 1
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => 0
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [1,2,3,5,7,4,6] => [1,2,3,4,5,7,6] => 1
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [1,2,3,5,7,4,6] => [1,2,3,4,5,7,6] => 1
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [1,2,4,5,7,3,6] => [1,2,3,4,5,7,6] => 1
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => 0
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [1,2,4,6,7,3,5] => [1,2,3,4,6,5,7] => 1
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [1,2,3,6,7,4,5] => [1,2,3,4,6,5,7] => 1
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [1,2,4,6,7,3,5] => [1,2,3,4,6,5,7] => 1
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => 0
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => 0
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [1,2,3,5,7,4,6] => [1,2,3,4,5,7,6] => 1
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [1,2,3,5,7,4,6] => [1,2,3,4,5,7,6] => 1
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [1,2,3,6,7,4,5] => [1,2,3,4,6,5,7] => 1
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [1,2,3,5,7,4,6] => [1,2,3,4,5,7,6] => 1
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [1,2,3,5,7,4,6] => [1,2,3,4,5,7,6] => 1
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [1,2,3,6,7,4,5] => [1,2,3,4,6,5,7] => 1
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => 0
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [1,3,2,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 0
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [1,3,4,2,5,7,6] => [1,2,3,4,5,6,7] => 0
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 0
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [1,3,4,5,2,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [1,3,4,6,2,5,7] => [1,2,3,4,6,5,7] => 1
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [1,2,4,6,3,5,7] => [1,2,3,4,6,5,7] => 1
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [1,2,4,6,3,5,7] => [1,2,3,4,6,5,7] => 1
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [1,3,4,6,2,5,7] => [1,2,3,4,6,5,7] => 1
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => 0
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [1,2,4,5,6,3,7] => [1,2,3,4,5,6,7] => 0
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [1,3,4,5,6,2,7] => [1,2,3,4,5,6,7] => 0
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [1,2,4,6,3,5,7] => [1,2,3,4,6,5,7] => 1
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [1,2,4,6,3,5,7] => [1,2,3,4,6,5,7] => 1
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [1,2,4,5,6,3,7] => [1,2,3,4,5,6,7] => 0
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [1,3,4,5,2,6,7] => [1,2,3,4,5,6,7] => 0
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [1,4,6,3,7,2,8,5] => [1,2,4,3,6,5,7,8] => 1
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [1,4,6,3,7,2,5,8] => [1,2,4,3,6,5,7,8] => 1
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [1,3,7,2,5,8,4,6] => [1,2,3,7,4,5,6,8] => 1
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [1,3,6,4,7,2,5,8] => [1,2,3,6,4,5,7,8] => 1
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [1,3,5,8,2,4,7,6] => [1,2,3,5,4,8,6,7] => 1
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [3,6,5,4,8,7,2,1] => [1,3,5,8,2,6,7,4] => [1,2,3,5,4,8,6,7] => 1
[.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1] => [1,3,6,8,2,4,7,5] => [1,2,3,6,4,8,5,7] => 2
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [1,3,5,7,2,4,6,8] => [1,2,3,5,4,7,6,8] => 1
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [1,2,6,4,7,3,8,5] => [1,2,3,6,4,5,7,8] => 1
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [1,2,5,6,4,7,3,8] => [1,2,3,5,4,6,7,8] => 1
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [2,6,5,7,8,4,3,1] => [1,2,6,4,7,3,5,8] => [1,2,3,6,4,5,7,8] => 1
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [1,2,5,8,3,4,7,6] => [1,2,3,5,4,8,6,7] => 1
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [1,2,5,8,3,6,7,4] => [1,2,3,5,4,8,6,7] => 1
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [1,2,7,3,6,8,4,5] => [1,2,3,7,4,5,6,8] => 1
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [1,2,4,5,7,3,6,8] => [1,2,3,4,5,7,6,8] => 1
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [1,2,5,7,3,4,6,8] => [1,2,3,5,4,7,6,8] => 1
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [1,3,6,5,7,4,8,2] => [1,2,3,6,4,5,7,8] => 1
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [1,3,5,8,2,4,7,6] => [1,2,3,5,4,8,6,7] => 1
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [3,2,6,7,5,8,4,1] => [1,3,6,8,2,4,7,5] => [1,2,3,6,4,8,5,7] => 2
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [1,2,3,5,8,4,7,6] => [1,2,3,4,5,8,6,7] => 1
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [1,2,3,5,6,8,4,7] => [1,2,3,4,5,6,8,7] => 1
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [1,2,3,5,7,4,6,8] => [1,2,3,4,5,7,6,8] => 1
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [1,3,2,4,8,5,7,6] => [1,2,3,4,5,8,6,7] => 1
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [1,2,3,4,8,5,7,6] => [1,2,3,4,5,8,6,7] => 1
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [1,2,3,4,7,5,6,8] => [1,2,3,4,5,7,6,8] => 1
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [1,3,4,2,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [1,2,4,3,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [1,2,4,3,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [1,3,2,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [1,3,2,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [3,4,5,6,2,8,7,1] => [1,3,5,2,4,6,8,7] => [1,2,3,5,4,6,7,8] => 1
[.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [1,2,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [3,4,2,6,5,8,7,1] => [1,3,2,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [1,2,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [1,3,2,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [1,2,4,5,6,8,3,7] => [1,2,3,4,5,6,8,7] => 1
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [1,3,4,5,6,8,2,7] => [1,2,3,4,5,6,8,7] => 1
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [3,4,5,7,6,2,8,1] => [1,3,5,6,2,4,7,8] => [1,2,3,5,4,6,7,8] => 1
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [1,4,6,2,3,5,7,8] => [1,2,4,3,6,5,7,8] => 1
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [1,2,7,8,3,6,4,5] => [1,2,3,7,4,8,5,6] => 2
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [1,2,6,3,5,4,7,8] => [1,2,3,6,4,5,7,8] => 1
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [1,2,5,6,3,4,7,8] => [1,2,3,5,4,6,7,8] => 1
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [1,2,4,5,7,8,3,6] => [1,2,3,4,5,7,6,8] => 1
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [1,3,5,6,4,7,8,2] => [1,2,3,5,4,6,7,8] => 1
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [1,2,3,5,7,8,4,6] => [1,2,3,4,5,7,6,8] => 1
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [3,4,2,7,6,5,8,1] => [1,3,2,4,7,8,5,6] => [1,2,3,4,5,7,6,8] => 1
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [1,3,2,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [1,2,3,4,7,8,5,6] => [1,2,3,4,5,7,6,8] => 1
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [1,3,4,2,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [1,2,3,5,7,8,4,6] => [1,2,3,4,5,7,6,8] => 1
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [1,3,2,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [1,2,4,5,7,8,3,6] => [1,2,3,4,5,7,6,8] => 1
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [1,3,4,5,7,8,2,6] => [1,2,3,4,5,7,6,8] => 1
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [3,6,5,4,2,7,8,1] => [1,3,5,2,6,7,8,4] => [1,2,3,5,6,7,8,4] => 4
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [1,3,6,7,8,2,4,5] => [1,2,3,6,4,7,5,8] => 2
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [1,3,5,2,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [1,2,6,7,8,3,5,4] => [1,2,3,6,4,7,5,8] => 2
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => [1,2,5,3,6,7,8,4] => [1,2,3,5,6,7,8,4] => 4
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => [1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [1,2,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [1,3,5,4,6,7,8,2] => [1,2,3,5,6,7,8,4] => 4
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [1,3,2,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [1,2,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [1,2,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [1,2,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [1,3,4,5,6,7,8,2] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [1,2,6,4,7,3,8,5] => [1,2,3,6,4,5,7,8] => 1
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [1,2,5,6,4,7,3,8] => [1,2,3,5,4,6,7,8] => 1
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [1,2,5,8,3,7,4,6] => [1,2,3,5,4,8,6,7] => 1
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [1,2,6,4,7,3,5,8] => [1,2,3,6,4,5,7,8] => 1
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [1,2,5,8,3,4,7,6] => [1,2,3,5,4,8,6,7] => 1
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [1,2,7,3,6,8,4,5] => [1,2,3,7,4,5,6,8] => 1
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => [1,2,5,7,3,4,6,8] => [1,2,3,5,4,7,6,8] => 1
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [1,2,3,5,8,4,7,6] => [1,2,3,4,5,8,6,7] => 1
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [1,2,3,5,6,8,4,7] => [1,2,3,4,5,6,8,7] => 1
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [1,2,3,5,7,4,6,8] => [1,2,3,4,5,7,6,8] => 1
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [1,2,3,4,8,5,7,6] => [1,2,3,4,5,8,6,7] => 1
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [1,2,3,4,7,5,6,8] => [1,2,3,4,5,7,6,8] => 1
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [1,2,4,3,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [1,2,4,3,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [1,2,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [1,2,7,8,3,6,4,5] => [1,2,3,7,4,8,5,6] => 2
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [1,2,6,3,5,4,7,8] => [1,2,3,6,4,5,7,8] => 1
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [1,2,4,5,7,8,3,6] => [1,2,3,4,5,7,6,8] => 1
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [1,2,3,5,7,8,4,6] => [1,2,3,4,5,7,6,8] => 1
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [1,2,3,4,7,8,5,6] => [1,2,3,4,5,7,6,8] => 1
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [1,2,3,5,7,8,4,6] => [1,2,3,4,5,7,6,8] => 1
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [1,2,6,7,8,3,5,4] => [1,2,3,6,4,7,5,8] => 2
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [1,2,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [1,2,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 0
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [1,2,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 0
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [1,2,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => 0
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [1,2,3,5,8,4,7,6] => [1,2,3,4,5,8,6,7] => 1
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [1,2,3,5,6,8,4,7] => [1,2,3,4,5,6,8,7] => 1
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [1,2,3,5,7,4,6,8] => [1,2,3,4,5,7,6,8] => 1
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [1,2,3,4,8,5,7,6] => [1,2,3,4,5,8,6,7] => 1
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [2,1,4,7,6,8,5,3] => [1,2,3,4,7,5,6,8] => [1,2,3,4,5,7,6,8] => 1
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [1,2,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [1,2,3,5,6,8,4,7] => [1,2,3,4,5,6,8,7] => 1
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [1,2,3,5,7,8,4,6] => [1,2,3,4,5,7,6,8] => 1
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [1,2,3,4,7,8,5,6] => [1,2,3,4,5,7,6,8] => 1
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [1,2,3,5,7,8,4,6] => [1,2,3,4,5,7,6,8] => 1
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [1,2,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [1,2,3,5,6,8,4,7] => [1,2,3,4,5,6,8,7] => 1
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [1,2,3,5,7,4,6,8] => [1,2,3,4,5,7,6,8] => 1
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [1,2,3,4,8,5,7,6] => [1,2,3,4,5,8,6,7] => 1
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,2,4,7,6,8,5,3] => [1,2,3,4,7,5,6,8] => [1,2,3,4,5,7,6,8] => 1
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,2,4,6,5,8,7,3] => [1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [1,2,3,5,6,8,4,7] => [1,2,3,4,5,6,8,7] => 1
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [1,2,3,5,7,8,4,6] => [1,2,3,4,5,7,6,8] => 1
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [1,2,3,4,7,8,5,6] => [1,2,3,4,5,7,6,8] => 1
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [1,2,3,5,7,8,4,6] => [1,2,3,4,5,7,6,8] => 1
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [1,2,4,6,5,7,8,3] => [1,2,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [1,2,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [1,3,2,4,8,5,7,6] => [1,2,3,4,5,8,6,7] => 1
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [1,3,2,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [1,3,2,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [1,3,2,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [1,3,2,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [1,3,2,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [1,3,2,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [1,3,2,4,7,8,5,6] => [1,2,3,4,5,7,6,8] => 1
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [1,3,2,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [1,3,2,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [1,3,2,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [1,2,3,4,8,5,7,6] => [1,2,3,4,5,8,6,7] => 1
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [1,2,3,4,7,5,6,8] => [1,2,3,4,5,7,6,8] => 1
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [1,2,3,4,7,8,5,6] => [1,2,3,4,5,7,6,8] => 1
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [1,2,3,4,8,5,7,6] => [1,2,3,4,5,8,6,7] => 1
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [1,2,3,4,7,5,6,8] => [1,2,3,4,5,7,6,8] => 1
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [1,2,3,4,7,8,5,6] => [1,2,3,4,5,7,6,8] => 1
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [1,2,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [1,2,3,4,8,5,7,6] => [1,2,3,4,5,8,6,7] => 1
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [2,1,3,5,7,6,8,4] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [1,2,3,4,8,5,7,6] => [1,2,3,4,5,8,6,7] => 1
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [1,2,3,4,7,5,6,8] => [1,2,3,4,5,7,6,8] => 1
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => 1
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [1,2,3,4,7,8,5,6] => [1,2,3,4,5,7,6,8] => 1
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [1,2,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [1,3,2,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [1,3,2,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [1,3,2,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [1,3,2,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [1,2,4,3,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [1,2,4,3,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [1,2,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [1,2,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [1,3,4,2,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [1,3,4,2,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [1,3,4,2,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [1,3,4,2,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [1,2,4,3,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [1,2,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [1,2,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [1,3,2,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [1,3,2,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [1,3,2,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [1,3,2,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [1,3,4,2,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [1,3,5,2,4,6,8,7] => [1,2,3,5,4,6,7,8] => 1
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [1,3,5,2,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [1,2,5,3,4,6,8,7] => [1,2,3,5,4,6,7,8] => 1
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [1,2,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [1,2,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [1,3,5,2,4,6,8,7] => [1,2,3,5,4,6,7,8] => 1
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [1,3,5,2,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [1,2,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [1,3,2,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [1,3,4,5,2,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [1,2,5,3,4,6,8,7] => [1,2,3,5,4,6,7,8] => 1
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [1,2,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [1,2,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6] => [1,2,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [1,2,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [3,4,2,1,5,8,7,6] => [1,3,2,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [1,2,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [1,3,4,2,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [1,2,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [1,3,2,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [1,5,2,4,6,3,7,8] => [1,2,5,6,3,4,7,8] => 2
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [1,4,6,2,5,3,7,8] => [1,2,4,3,6,5,7,8] => 1
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [1,4,6,2,3,5,7,8] => [1,2,4,3,6,5,7,8] => 1
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7] => [1,3,5,2,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [1,2,6,3,5,4,7,8] => [1,2,3,6,4,5,7,8] => 1
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [1,4,6,2,3,5,7,8] => [1,2,4,3,6,5,7,8] => 1
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [1,3,2,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [1,3,5,6,2,4,7,8] => [1,2,3,5,4,6,7,8] => 1
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [1,2,5,6,3,4,7,8] => [1,2,3,5,4,6,7,8] => 1
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [1,3,5,6,2,4,7,8] => [1,2,3,5,4,6,7,8] => 1
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [1,2,4,5,6,3,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [1,2,6,3,5,4,7,8] => [1,2,3,6,4,5,7,8] => 1
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [1,2,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => [1,3,2,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [2,1,3,6,5,4,8,7] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [1,3,5,2,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [1,2,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [1,3,5,2,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [3,4,2,1,5,6,8,7] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [1,4,6,2,5,3,7,8] => [1,2,4,3,6,5,7,8] => 1
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => [1,3,5,7,2,6,4,8] => [1,2,3,5,4,7,6,8] => 1
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [1,3,5,7,2,4,6,8] => [1,2,3,5,4,7,6,8] => 1
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [1,2,6,3,7,4,5,8] => [1,2,3,6,4,5,7,8] => 1
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [1,2,5,6,3,4,7,8] => [1,2,3,5,4,6,7,8] => 1
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [1,2,5,7,3,6,4,8] => [1,2,3,5,4,7,6,8] => 1
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [1,2,5,7,3,4,6,8] => [1,2,3,5,4,7,6,8] => 1
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [1,3,6,4,7,2,5,8] => [1,2,3,6,4,5,7,8] => 1
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [1,3,5,6,4,7,2,8] => [1,2,3,5,4,6,7,8] => 1
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [1,3,5,7,2,4,6,8] => [1,2,3,5,4,7,6,8] => 1
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [1,2,3,5,7,4,6,8] => [1,2,3,4,5,7,6,8] => 1
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [1,3,2,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [1,2,3,4,7,5,6,8] => [1,2,3,4,5,7,6,8] => 1
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [1,3,4,2,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => [1,3,5,7,2,4,6,8] => [1,2,3,5,4,7,6,8] => 1
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [1,3,5,7,2,4,6,8] => [1,2,3,5,4,7,6,8] => 1
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [1,3,2,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [1,3,5,2,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [1,2,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [1,3,2,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [2,4,5,3,6,7,1,8] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [1,2,3,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [2,4,3,5,6,7,1,8] => [1,2,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [1,3,4,5,6,7,2,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [1,2,6,3,7,4,5,8] => [1,2,3,6,4,5,7,8] => 1
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [1,2,6,3,5,4,7,8] => [1,2,3,6,4,5,7,8] => 1
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [1,2,5,6,3,4,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8] => [1,2,5,7,3,6,4,8] => [1,2,3,5,4,7,6,8] => 1
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [1,2,4,5,7,3,6,8] => [1,2,3,4,5,7,6,8] => 1
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [1,2,5,7,3,4,6,8] => [1,2,3,5,4,7,6,8] => 1
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [1,2,3,5,7,4,6,8] => [1,2,3,4,5,7,6,8] => 1
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [1,2,3,5,7,4,6,8] => [1,2,3,4,5,7,6,8] => 1
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [1,2,4,5,7,3,6,8] => [1,2,3,4,5,7,6,8] => 1
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [1,2,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,3,5,4,6,7,2,8] => [1,2,3,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [1,4,3,5,6,7,2,8] => [1,2,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => [1,2,3,5,7,4,6,8] => [1,2,3,4,5,7,6,8] => 1
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [2,1,5,4,6,7,3,8] => [1,2,3,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [1,2,3,5,7,4,6,8] => [1,2,3,4,5,7,6,8] => 1
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,2,4,6,5,7,3,8] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [1,2,3,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [1,3,2,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [1,3,2,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [3,2,1,6,5,7,4,8] => [1,3,2,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [1,2,3,4,7,5,6,8] => [1,2,3,4,5,7,6,8] => 1
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [1,2,3,4,7,5,6,8] => [1,2,3,4,5,7,6,8] => 1
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [1,3,4,2,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [1,2,4,3,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [2,1,4,3,6,7,5,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [1,3,2,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,3,2,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [2,1,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [1,3,5,2,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [1,2,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [1,3,5,2,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [1,2,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [1,5,2,4,6,3,7,8] => [1,2,5,6,3,4,7,8] => 2
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [1,3,5,2,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [1,4,6,2,3,5,7,8] => [1,2,4,3,6,5,7,8] => 1
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [1,3,5,6,2,4,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [1,3,4,5,6,2,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [1,2,6,3,5,4,7,8] => [1,2,3,6,4,5,7,8] => 1
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => [1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [1,2,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [1,2,5,6,3,4,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,3,5,4,6,2,7,8] => [1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => [1,2,4,5,6,3,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [1,3,2,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [1,3,5,2,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [1,2,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [1,3,5,2,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [1,3,4,5,2,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [1,2,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,4,3,5,2,6,7,8] => [1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [2,1,4,6,5,3,8,7,10,9] => [1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [1,3,4,5,6,7,8,9,2] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [2,3,1,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [2,4,3,5,6,7,8,9,1] => [1,2,4,5,6,7,8,9,3] => [1,2,3,4,5,6,7,8,9] => 0
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [1,3,2,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [1,3,4,5,6,7,8,9,10,2] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,4,7,6,8,9,5] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,2,3,6,5,7,8,9,4] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [1,2,5,4,6,7,8,9,3] => [1,2,3,5,6,7,8,9,4] => [1,2,3,4,5,6,7,8,9] => 0
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [1,2,4,5,6,7,8,9,3] => [1,2,3,4,5,6,7,8,9] => 0
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,6,5,9,8,10,7] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,4,3,7,6,8,5,10,9] => [1,2,3,4,5,7,8,6,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7,10,9] => [1,3,4,2,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7,10,9] => [1,2,4,3,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,3,6,8,7,5,10,9] => [1,2,3,4,5,6,8,7,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,10,9,7] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,9,10] => 0
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [2,1,3,4,5,6,8,7,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [2,1,3,4,5,6,8,9,7] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [2,3,4,5,6,8,9,7,1] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,7,8,9] => 0
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [3,2,1,5,4,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [2,3,5,4,1,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [2,3,4,6,5,1,7,8,9] => [1,2,3,4,6,5,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [2,3,4,5,7,6,1,8,9] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [2,3,4,5,6,8,7,1,9] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,7,8,9] => 0
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [1,3,4,5,2,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [1,2,4,5,3,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [2,1,4,5,3,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [1,3,2,5,4,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,7,9,8] => 1
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,8,10,9] => 1
[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,4,6,5,9,8,7] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,3,5,4,9,8,7,6] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,7,9,8] => 1
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.] => [3,4,2,5,1,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [2,3,1,5,4,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [1,3,4,5,6,7,8,2,9] => [1,2,3,4,5,6,7,8,9] => 0
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]] => [2,1,3,5,6,7,8,9,4] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
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Generating function
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Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
13,1 33,8,1 82,39,10,1
$F_{1} = 1$
$F_{2} = 2$
$F_{3} = 5$
$F_{4} = 13 + q$
$F_{5} = 33 + 8\ q + q^{2}$
$F_{6} = 82 + 39\ q + 10\ q^{2} + q^{3}$
Description
The number of stack-sorts needed to sort a permutation.
A permutation is (West) $t$-stack sortable if it is sortable using $t$ stacks in series.
Let $W_t(n,k)$ be the number of permutations of size $n$
with $k$ descents which are $t$-stack sortable. Then the polynomials $W_{n,t}(x) = \sum_{k=0}^n W_t(n,k)x^k$
are symmetric and unimodal.
We have $W_{n,1}(x) = A_n(x)$, the Eulerian polynomials. One can show that $W_{n,1}(x)$ and $W_{n,2}(x)$ are real-rooted.
Precisely the permutations that avoid the pattern $231$ have statistic at most $1$, see [3]. These are counted by $\frac{1}{n+1}\binom{2n}{n}$ (OEIS:A000108). Precisely the permutations that avoid the pattern $2341$ and the barred pattern $3\bar 5241$ have statistic at most $2$, see [4]. These are counted by $\frac{2(3n)!}{(n+1)!(2n+1)!}$ (OEIS:A000139).
A permutation is (West) $t$-stack sortable if it is sortable using $t$ stacks in series.
Let $W_t(n,k)$ be the number of permutations of size $n$
with $k$ descents which are $t$-stack sortable. Then the polynomials $W_{n,t}(x) = \sum_{k=0}^n W_t(n,k)x^k$
are symmetric and unimodal.
We have $W_{n,1}(x) = A_n(x)$, the Eulerian polynomials. One can show that $W_{n,1}(x)$ and $W_{n,2}(x)$ are real-rooted.
Precisely the permutations that avoid the pattern $231$ have statistic at most $1$, see [3]. These are counted by $\frac{1}{n+1}\binom{2n}{n}$ (OEIS:A000108). Precisely the permutations that avoid the pattern $2341$ and the barred pattern $3\bar 5241$ have statistic at most $2$, see [4]. These are counted by $\frac{2(3n)!}{(n+1)!(2n+1)!}$ (OEIS:A000139).
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
to 312-avoiding permutation
Description
Return a 312-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 minimal element of this 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 minimal element of this Sylvester class.
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