Identifier
-
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00149: Permutations —Lehmer code rotation⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
St000701: Binary trees ⟶ ℤ
Values
[.,.] => [1] => [1] => [.,.] => 1
[.,[.,.]] => [2,1] => [1,2] => [.,[.,.]] => 1
[[.,.],.] => [1,2] => [2,1] => [[.,.],.] => 1
[.,[.,[.,.]]] => [3,2,1] => [1,2,3] => [.,[.,[.,.]]] => 1
[.,[[.,.],.]] => [2,3,1] => [3,1,2] => [[.,[.,.]],.] => 1
[[.,.],[.,.]] => [3,1,2] => [1,3,2] => [.,[[.,.],.]] => 1
[[.,[.,.]],.] => [2,1,3] => [3,2,1] => [[[.,.],.],.] => 1
[[[.,.],.],.] => [1,2,3] => [2,3,1] => [[.,.],[.,.]] => 2
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => 1
[.,[.,[[.,.],.]]] => [3,4,2,1] => [4,1,2,3] => [[.,[.,[.,.]]],.] => 1
[.,[[.,.],[.,.]]] => [4,2,3,1] => [1,4,2,3] => [.,[[.,[.,.]],.]] => 1
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,3,1,2] => [[[.,[.,.]],.],.] => 1
[.,[[[.,.],.],.]] => [2,3,4,1] => [3,4,1,2] => [[.,[.,.]],[.,.]] => 2
[[.,.],[.,[.,.]]] => [4,3,1,2] => [1,2,4,3] => [.,[.,[[.,.],.]]] => 1
[[.,.],[[.,.],.]] => [3,4,1,2] => [4,1,3,2] => [[.,[[.,.],.]],.] => 1
[[.,[.,.]],[.,.]] => [4,2,1,3] => [1,4,3,2] => [.,[[[.,.],.],.]] => 1
[[[.,.],.],[.,.]] => [4,1,2,3] => [1,3,4,2] => [.,[[.,.],[.,.]]] => 1
[[.,[.,[.,.]]],.] => [3,2,1,4] => [4,3,2,1] => [[[[.,.],.],.],.] => 1
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,4,2,1] => [[[.,.],.],[.,.]] => 2
[[[.,.],[.,.]],.] => [3,1,2,4] => [4,2,3,1] => [[[.,.],[.,.]],.] => 1
[[[.,[.,.]],.],.] => [2,1,3,4] => [3,2,4,1] => [[[.,.],.],[.,.]] => 2
[[[[.,.],.],.],.] => [1,2,3,4] => [2,3,4,1] => [[.,.],[.,[.,.]]] => 2
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => 1
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [5,1,2,3,4] => [[.,[.,[.,[.,.]]]],.] => 1
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => 1
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [5,4,1,2,3] => [[[.,[.,[.,.]]],.],.] => 1
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [4,5,1,2,3] => [[.,[.,[.,.]]],[.,.]] => 2
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => 1
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [5,1,4,2,3] => [[.,[[.,[.,.]],.]],.] => 1
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [1,5,4,2,3] => [.,[[[.,[.,.]],.],.]] => 1
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => 1
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [5,4,3,1,2] => [[[[.,[.,.]],.],.],.] => 1
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => 2
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [5,3,4,1,2] => [[[.,[.,.]],[.,.]],.] => 1
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [4,3,5,1,2] => [[[.,[.,.]],.],[.,.]] => 2
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [3,4,5,1,2] => [[.,[.,.]],[.,[.,.]]] => 2
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => 1
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [5,1,2,4,3] => [[.,[.,[[.,.],.]]],.] => 1
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [1,5,2,4,3] => [.,[[.,[[.,.],.]],.]] => 1
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [5,4,1,3,2] => [[[.,[[.,.],.]],.],.] => 1
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [4,5,1,3,2] => [[.,[[.,.],.]],[.,.]] => 2
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => 1
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [5,1,4,3,2] => [[.,[[[.,.],.],.]],.] => 1
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [1,2,4,5,3] => [.,[.,[[.,.],[.,.]]]] => 1
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [5,1,3,4,2] => [[.,[[.,.],[.,.]]],.] => 1
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => 1
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [1,4,5,3,2] => [.,[[[.,.],.],[.,.]]] => 1
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [1,5,3,4,2] => [.,[[[.,.],[.,.]],.]] => 1
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [1,4,3,5,2] => [.,[[[.,.],.],[.,.]]] => 1
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [1,3,4,5,2] => [.,[[.,.],[.,[.,.]]]] => 1
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [5,4,3,2,1] => [[[[[.,.],.],.],.],.] => 1
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [4,5,3,2,1] => [[[[.,.],.],.],[.,.]] => 2
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [5,3,4,2,1] => [[[[.,.],.],[.,.]],.] => 1
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [4,3,5,2,1] => [[[[.,.],.],.],[.,.]] => 2
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [3,4,5,2,1] => [[[.,.],.],[.,[.,.]]] => 2
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [5,4,2,3,1] => [[[[.,.],[.,.]],.],.] => 1
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [4,5,2,3,1] => [[[.,.],[.,.]],[.,.]] => 2
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [5,3,2,4,1] => [[[[.,.],.],[.,.]],.] => 1
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [5,2,3,4,1] => [[[.,.],[.,[.,.]]],.] => 1
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [4,3,2,5,1] => [[[[.,.],.],.],[.,.]] => 2
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,4,2,5,1] => [[[.,.],.],[.,[.,.]]] => 2
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [4,2,3,5,1] => [[[.,.],[.,.]],[.,.]] => 2
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [3,2,4,5,1] => [[[.,.],.],[.,[.,.]]] => 2
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [2,3,4,5,1] => [[.,.],[.,[.,[.,.]]]] => 2
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => 1
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [6,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],.] => 1
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => 1
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [6,5,1,2,3,4] => [[[.,[.,[.,[.,.]]]],.],.] => 1
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [5,6,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => 2
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => 1
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [6,1,5,2,3,4] => [[.,[[.,[.,[.,.]]],.]],.] => 1
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => 1
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => 1
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [6,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],.] => 1
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [5,6,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => 2
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [6,4,5,1,2,3] => [[[.,[.,[.,.]]],[.,.]],.] => 1
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [5,4,6,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => 2
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => 2
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => 1
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [6,1,2,5,3,4] => [[.,[.,[[.,[.,.]],.]]],.] => 1
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [1,6,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],.]] => 1
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [6,5,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],.] => 1
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [5,6,1,4,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => 2
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [1,2,6,5,3,4] => [.,[.,[[[.,[.,.]],.],.]]] => 1
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [6,1,5,4,2,3] => [[.,[[[.,[.,.]],.],.]],.] => 1
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => 1
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [6,1,4,5,2,3] => [[.,[[.,[.,.]],[.,.]]],.] => 1
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [1,6,5,4,2,3] => [.,[[[[.,[.,.]],.],.],.]] => 1
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => 1
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [1,6,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],.]] => 1
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [1,5,4,6,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => 1
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [1,4,5,6,2,3] => [.,[[.,[.,.]],[.,[.,.]]]] => 1
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [6,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],.] => 1
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => 2
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [6,4,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],.] => 1
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [5,4,6,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => 2
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [4,5,6,3,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => 2
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [6,5,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],.] => 1
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => 2
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [6,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],.] => 1
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [6,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],.] => 1
>>> Load all 1017 entries. <<<[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [5,4,3,6,1,2] => [[[[.,[.,.]],.],.],[.,.]] => 2
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [4,5,3,6,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => 2
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [5,3,4,6,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => 2
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [4,3,5,6,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => 2
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [3,4,5,6,1,2] => [[.,[.,.]],[.,[.,[.,.]]]] => 2
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => 1
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [6,1,2,3,5,4] => [[.,[.,[.,[[.,.],.]]]],.] => 1
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [1,6,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],.]] => 1
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [6,5,1,2,4,3] => [[[.,[.,[[.,.],.]]],.],.] => 1
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [5,6,1,2,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => 2
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [1,2,6,3,5,4] => [.,[.,[[.,[[.,.],.]],.]]] => 1
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [6,1,5,2,4,3] => [[.,[[.,[[.,.],.]],.]],.] => 1
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [1,6,5,2,4,3] => [.,[[[.,[[.,.],.]],.],.]] => 1
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [1,5,6,2,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => 1
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [6,5,4,1,3,2] => [[[[.,[[.,.],.]],.],.],.] => 1
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [5,6,4,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => 2
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [6,4,5,1,3,2] => [[[.,[[.,.],.]],[.,.]],.] => 1
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [5,4,6,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => 2
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [4,5,6,1,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => 2
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => 1
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [6,1,2,5,4,3] => [[.,[.,[[[.,.],.],.]]],.] => 1
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [1,6,2,5,4,3] => [.,[[.,[[[.,.],.],.]],.]] => 1
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [6,5,1,4,3,2] => [[[.,[[[.,.],.],.]],.],.] => 1
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [5,6,1,4,3,2] => [[.,[[[.,.],.],.]],[.,.]] => 2
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => 1
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [6,1,2,4,5,3] => [[.,[.,[[.,.],[.,.]]]],.] => 1
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [1,6,2,4,5,3] => [.,[[.,[[.,.],[.,.]]],.]] => 1
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [6,5,1,3,4,2] => [[[.,[[.,.],[.,.]]],.],.] => 1
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [5,6,1,3,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => 2
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => 1
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [6,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],.] => 1
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [1,2,5,6,4,3] => [.,[.,[[[.,.],.],[.,.]]]] => 1
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [6,1,4,5,3,2] => [[.,[[[.,.],.],[.,.]]],.] => 1
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => 1
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [6,1,5,3,4,2] => [[.,[[[.,.],[.,.]],.]],.] => 1
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [1,2,5,4,6,3] => [.,[.,[[[.,.],.],[.,.]]]] => 1
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [6,1,4,3,5,2] => [[.,[[[.,.],.],[.,.]]],.] => 1
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [1,2,4,5,6,3] => [.,[.,[[.,.],[.,[.,.]]]]] => 1
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [6,1,3,4,5,2] => [[.,[[.,.],[.,[.,.]]]],.] => 1
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => 1
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [1,5,6,4,3,2] => [.,[[[[.,.],.],.],[.,.]]] => 1
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [1,6,4,5,3,2] => [.,[[[[.,.],.],[.,.]],.]] => 1
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [1,5,4,6,3,2] => [.,[[[[.,.],.],.],[.,.]]] => 1
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [1,4,5,6,3,2] => [.,[[[.,.],.],[.,[.,.]]]] => 1
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [1,6,5,3,4,2] => [.,[[[[.,.],[.,.]],.],.]] => 1
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [1,5,6,3,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => 1
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [1,6,4,3,5,2] => [.,[[[[.,.],.],[.,.]],.]] => 1
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]] => 1
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [1,5,4,3,6,2] => [.,[[[[.,.],.],.],[.,.]]] => 1
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [1,4,5,3,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => 1
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [1,5,3,4,6,2] => [.,[[[.,.],[.,.]],[.,.]]] => 1
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [1,4,3,5,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => 1
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [1,3,4,5,6,2] => [.,[[.,.],[.,[.,[.,.]]]]] => 1
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => 1
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [5,6,4,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => 2
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [6,4,5,3,2,1] => [[[[[.,.],.],.],[.,.]],.] => 1
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [5,4,6,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => 2
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [4,5,6,3,2,1] => [[[[.,.],.],.],[.,[.,.]]] => 2
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => 1
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [5,6,3,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => 2
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [6,4,3,5,2,1] => [[[[[.,.],.],.],[.,.]],.] => 1
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [6,3,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],.] => 1
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [5,4,3,6,2,1] => [[[[[.,.],.],.],.],[.,.]] => 2
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [4,5,3,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => 2
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [5,3,4,6,2,1] => [[[[.,.],.],[.,.]],[.,.]] => 2
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [4,3,5,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => 2
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [3,4,5,6,2,1] => [[[.,.],.],[.,[.,[.,.]]]] => 2
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [6,5,4,2,3,1] => [[[[[.,.],[.,.]],.],.],.] => 1
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [5,6,4,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => 2
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => 1
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [5,4,6,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => 2
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [4,5,6,2,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => 2
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [6,5,3,2,4,1] => [[[[[.,.],.],[.,.]],.],.] => 1
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [5,6,3,2,4,1] => [[[[.,.],.],[.,.]],[.,.]] => 2
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [6,5,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],.] => 1
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [5,6,2,3,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => 2
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => 1
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [6,3,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],.] => 1
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [6,4,2,3,5,1] => [[[[.,.],[.,.]],[.,.]],.] => 1
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [6,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],.] => 1
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [6,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],.] => 1
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [5,4,3,2,6,1] => [[[[[.,.],.],.],.],[.,.]] => 2
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [4,5,3,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => 2
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [5,3,4,2,6,1] => [[[[.,.],.],[.,.]],[.,.]] => 2
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,3,5,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => 2
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [3,4,5,2,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => 2
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [5,4,2,3,6,1] => [[[[.,.],[.,.]],.],[.,.]] => 2
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [4,5,2,3,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => 2
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [5,3,2,4,6,1] => [[[[.,.],.],[.,.]],[.,.]] => 2
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [5,2,3,4,6,1] => [[[.,.],[.,[.,.]]],[.,.]] => 2
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [4,3,2,5,6,1] => [[[[.,.],.],.],[.,[.,.]]] => 2
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,4,2,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => 2
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [4,2,3,5,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => 2
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [3,2,4,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => 2
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [[.,.],[.,[.,[.,[.,.]]]]] => 2
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 1
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [7,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => 1
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [1,7,2,3,4,5,6] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 1
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [7,6,1,2,3,4,5] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 1
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [6,7,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => 2
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [1,2,7,3,4,5,6] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 1
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [7,1,6,2,3,4,5] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => 1
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [1,7,6,2,3,4,5] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 1
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [1,6,7,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => 1
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [7,6,5,1,2,3,4] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 1
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [6,7,5,1,2,3,4] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => 2
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [7,5,6,1,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => 1
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [6,5,7,1,2,3,4] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => 2
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [5,6,7,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => 2
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [1,2,3,7,4,5,6] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 1
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [7,1,2,6,3,4,5] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => 1
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [1,7,2,6,3,4,5] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => 1
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [7,6,1,5,2,3,4] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 1
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [6,7,1,5,2,3,4] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => 2
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [1,2,7,6,3,4,5] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 1
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [7,1,6,5,2,3,4] => [[.,[[[.,[.,[.,.]]],.],.]],.] => 1
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [1,2,6,7,3,4,5] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => 1
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [7,1,5,6,2,3,4] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => 1
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [1,7,6,5,2,3,4] => [.,[[[[.,[.,[.,.]]],.],.],.]] => 1
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [1,6,7,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => 1
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [1,7,5,6,2,3,4] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 1
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [1,6,5,7,2,3,4] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => 1
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [1,5,6,7,2,3,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 1
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [7,6,5,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],.] => 1
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [6,7,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => 2
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [7,5,6,4,1,2,3] => [[[[.,[.,[.,.]]],.],[.,.]],.] => 1
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [6,5,7,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => 2
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [5,6,7,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => 2
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [7,6,4,5,1,2,3] => [[[[.,[.,[.,.]]],[.,.]],.],.] => 1
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [6,7,4,5,1,2,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => 2
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [7,5,4,6,1,2,3] => [[[[.,[.,[.,.]]],.],[.,.]],.] => 1
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [7,4,5,6,1,2,3] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 1
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [6,5,4,7,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => 2
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [5,6,4,7,1,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => 2
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [6,4,5,7,1,2,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => 2
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [5,4,6,7,1,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => 2
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [4,5,6,7,1,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 2
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [1,2,3,4,7,5,6] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 1
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [7,1,2,3,6,4,5] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => 1
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [1,7,2,3,6,4,5] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => 1
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [7,6,1,2,5,3,4] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 1
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [6,7,1,2,5,3,4] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => 2
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [1,2,7,3,6,4,5] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => 1
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [7,1,6,2,5,3,4] => [[.,[[.,[[.,[.,.]],.]],.]],.] => 1
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [1,7,6,2,5,3,4] => [.,[[[.,[[.,[.,.]],.]],.],.]] => 1
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [1,6,7,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => 1
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [7,6,5,1,4,2,3] => [[[[.,[[.,[.,.]],.]],.],.],.] => 1
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [6,7,5,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],[.,.]] => 2
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [7,5,6,1,4,2,3] => [[[.,[[.,[.,.]],.]],[.,.]],.] => 1
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [6,5,7,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],[.,.]] => 2
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [5,6,7,1,4,2,3] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => 2
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [1,2,3,7,6,4,5] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 1
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [7,1,2,6,5,3,4] => [[.,[.,[[[.,[.,.]],.],.]]],.] => 1
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [1,7,2,6,5,3,4] => [.,[[.,[[[.,[.,.]],.],.]],.]] => 1
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [7,6,1,5,4,2,3] => [[[.,[[[.,[.,.]],.],.]],.],.] => 1
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [6,7,1,5,4,2,3] => [[.,[[[.,[.,.]],.],.]],[.,.]] => 2
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [1,2,3,6,7,4,5] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => 1
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [7,1,2,5,6,3,4] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => 1
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [1,7,2,5,6,3,4] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => 1
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [7,6,1,4,5,2,3] => [[[.,[[.,[.,.]],[.,.]]],.],.] => 1
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [6,7,1,4,5,2,3] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => 2
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [1,2,7,6,5,3,4] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 1
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [7,1,6,5,4,2,3] => [[.,[[[[.,[.,.]],.],.],.]],.] => 1
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [1,2,6,7,5,3,4] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => 1
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [7,1,5,6,4,2,3] => [[.,[[[.,[.,.]],.],[.,.]]],.] => 1
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [1,2,7,5,6,3,4] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 1
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [7,1,6,4,5,2,3] => [[.,[[[.,[.,.]],[.,.]],.]],.] => 1
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [1,2,6,5,7,3,4] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => 1
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [7,1,5,4,6,2,3] => [[.,[[[.,[.,.]],.],[.,.]]],.] => 1
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [1,2,5,6,7,3,4] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 1
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [7,1,4,5,6,2,3] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => 1
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [1,7,6,5,4,2,3] => [.,[[[[[.,[.,.]],.],.],.],.]] => 1
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [1,6,7,5,4,2,3] => [.,[[[[.,[.,.]],.],.],[.,.]]] => 1
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [1,7,5,6,4,2,3] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 1
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [1,6,5,7,4,2,3] => [.,[[[[.,[.,.]],.],.],[.,.]]] => 1
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [1,5,6,7,4,2,3] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => 1
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [1,7,6,4,5,2,3] => [.,[[[[.,[.,.]],[.,.]],.],.]] => 1
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [1,6,7,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => 1
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [1,7,5,4,6,2,3] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 1
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [1,7,4,5,6,2,3] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 1
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [1,6,5,4,7,2,3] => [.,[[[[.,[.,.]],.],.],[.,.]]] => 1
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [1,5,6,4,7,2,3] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => 1
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [1,6,4,5,7,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => 1
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [1,5,4,6,7,2,3] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => 1
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [1,4,5,6,7,2,3] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 1
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [7,6,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],.] => 1
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [6,7,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => 2
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [7,5,6,4,3,1,2] => [[[[[.,[.,.]],.],.],[.,.]],.] => 1
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [6,5,7,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => 2
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [5,6,7,4,3,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => 2
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [7,6,4,5,3,1,2] => [[[[[.,[.,.]],.],[.,.]],.],.] => 1
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [6,7,4,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [7,5,4,6,3,1,2] => [[[[[.,[.,.]],.],.],[.,.]],.] => 1
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [7,4,5,6,3,1,2] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 1
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [6,5,4,7,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => 2
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [5,6,4,7,3,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => 2
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [6,4,5,7,3,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [5,4,6,7,3,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => 2
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [4,5,6,7,3,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 2
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [7,6,5,3,4,1,2] => [[[[[.,[.,.]],[.,.]],.],.],.] => 1
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [6,7,5,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => 2
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [7,5,6,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],.] => 1
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [6,5,7,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => 2
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [5,6,7,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 2
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [7,6,4,3,5,1,2] => [[[[[.,[.,.]],.],[.,.]],.],.] => 1
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [6,7,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [7,6,3,4,5,1,2] => [[[[.,[.,.]],[.,[.,.]]],.],.] => 1
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [6,7,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 2
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [7,5,4,3,6,1,2] => [[[[[.,[.,.]],.],.],[.,.]],.] => 1
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [7,4,5,3,6,1,2] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 1
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [7,5,3,4,6,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],.] => 1
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [7,4,3,5,6,1,2] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 1
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [7,3,4,5,6,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 1
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [6,5,4,3,7,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => 2
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [5,6,4,3,7,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => 2
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [6,4,5,3,7,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [5,4,6,3,7,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => 2
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [4,5,6,3,7,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 2
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [6,5,3,4,7,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => 2
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [5,6,3,4,7,1,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 2
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [6,4,3,5,7,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [6,3,4,5,7,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 2
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [5,4,3,6,7,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => 2
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [4,5,3,6,7,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 2
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [5,3,4,6,7,1,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 2
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [4,3,5,6,7,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 2
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [3,4,5,6,7,1,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 2
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [1,2,3,4,5,7,6] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 1
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [7,1,2,3,4,6,5] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => 1
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [1,7,2,3,4,6,5] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => 1
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [7,6,1,2,3,5,4] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 1
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [6,7,1,2,3,5,4] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => 2
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [1,2,7,3,4,6,5] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => 1
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [7,1,6,2,3,5,4] => [[.,[[.,[.,[[.,.],.]]],.]],.] => 1
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [1,7,6,2,3,5,4] => [.,[[[.,[.,[[.,.],.]]],.],.]] => 1
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [1,6,7,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => 1
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [7,6,5,1,2,4,3] => [[[[.,[.,[[.,.],.]]],.],.],.] => 1
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [6,7,5,1,2,4,3] => [[[.,[.,[[.,.],.]]],.],[.,.]] => 2
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [7,5,6,1,2,4,3] => [[[.,[.,[[.,.],.]]],[.,.]],.] => 1
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [6,5,7,1,2,4,3] => [[[.,[.,[[.,.],.]]],.],[.,.]] => 2
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [5,6,7,1,2,4,3] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => 2
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [1,2,3,7,4,6,5] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => 1
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [7,1,2,6,3,5,4] => [[.,[.,[[.,[[.,.],.]],.]]],.] => 1
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [1,7,2,6,3,5,4] => [.,[[.,[[.,[[.,.],.]],.]],.]] => 1
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [7,6,1,5,2,4,3] => [[[.,[[.,[[.,.],.]],.]],.],.] => 1
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [6,7,1,5,2,4,3] => [[.,[[.,[[.,.],.]],.]],[.,.]] => 2
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [1,2,7,6,3,5,4] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 1
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [7,1,6,5,2,4,3] => [[.,[[[.,[[.,.],.]],.],.]],.] => 1
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [1,2,6,7,3,5,4] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => 1
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [7,1,5,6,2,4,3] => [[.,[[.,[[.,.],.]],[.,.]]],.] => 1
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [1,7,6,5,2,4,3] => [.,[[[[.,[[.,.],.]],.],.],.]] => 1
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [1,6,7,5,2,4,3] => [.,[[[.,[[.,.],.]],.],[.,.]]] => 1
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [1,7,5,6,2,4,3] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 1
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [1,6,5,7,2,4,3] => [.,[[[.,[[.,.],.]],.],[.,.]]] => 1
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [1,5,6,7,2,4,3] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => 1
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [7,6,5,4,1,3,2] => [[[[[.,[[.,.],.]],.],.],.],.] => 1
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [6,7,5,4,1,3,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => 2
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [7,5,6,4,1,3,2] => [[[[.,[[.,.],.]],.],[.,.]],.] => 1
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [6,5,7,4,1,3,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => 2
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [5,6,7,4,1,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => 2
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [7,6,4,5,1,3,2] => [[[[.,[[.,.],.]],[.,.]],.],.] => 1
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [6,7,4,5,1,3,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => 2
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [7,5,4,6,1,3,2] => [[[[.,[[.,.],.]],.],[.,.]],.] => 1
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [7,4,5,6,1,3,2] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 1
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [6,5,4,7,1,3,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => 2
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [5,6,4,7,1,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => 2
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [6,4,5,7,1,3,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => 2
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [5,4,6,7,1,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => 2
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [4,5,6,7,1,3,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => 2
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [1,2,3,4,7,6,5] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 1
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [7,1,2,3,6,5,4] => [[.,[.,[.,[[[.,.],.],.]]]],.] => 1
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [1,7,2,3,6,5,4] => [.,[[.,[.,[[[.,.],.],.]]],.]] => 1
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [7,6,1,2,5,4,3] => [[[.,[.,[[[.,.],.],.]]],.],.] => 1
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [6,7,1,2,5,4,3] => [[.,[.,[[[.,.],.],.]]],[.,.]] => 2
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [1,2,7,3,6,5,4] => [.,[.,[[.,[[[.,.],.],.]],.]]] => 1
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [7,1,6,2,5,4,3] => [[.,[[.,[[[.,.],.],.]],.]],.] => 1
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [1,7,6,2,5,4,3] => [.,[[[.,[[[.,.],.],.]],.],.]] => 1
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [1,6,7,2,5,4,3] => [.,[[.,[[[.,.],.],.]],[.,.]]] => 1
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [7,6,5,1,4,3,2] => [[[[.,[[[.,.],.],.]],.],.],.] => 1
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [6,7,5,1,4,3,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => 2
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [7,5,6,1,4,3,2] => [[[.,[[[.,.],.],.]],[.,.]],.] => 1
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [6,5,7,1,4,3,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => 2
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [5,6,7,1,4,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => 2
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [1,2,3,4,6,7,5] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => 1
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [7,1,2,3,5,6,4] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => 1
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [1,7,2,3,5,6,4] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => 1
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [7,6,1,2,4,5,3] => [[[.,[.,[[.,.],[.,.]]]],.],.] => 1
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [6,7,1,2,4,5,3] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => 2
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [1,2,7,3,5,6,4] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => 1
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [7,1,6,2,4,5,3] => [[.,[[.,[[.,.],[.,.]]],.]],.] => 1
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [1,7,6,2,4,5,3] => [.,[[[.,[[.,.],[.,.]]],.],.]] => 1
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [1,6,7,2,4,5,3] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => 1
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [7,6,5,1,3,4,2] => [[[[.,[[.,.],[.,.]]],.],.],.] => 1
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [6,7,5,1,3,4,2] => [[[.,[[.,.],[.,.]]],.],[.,.]] => 2
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [7,5,6,1,3,4,2] => [[[.,[[.,.],[.,.]]],[.,.]],.] => 1
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [6,5,7,1,3,4,2] => [[[.,[[.,.],[.,.]]],.],[.,.]] => 2
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [5,6,7,1,3,4,2] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => 2
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [1,2,3,7,6,5,4] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 1
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [7,1,2,6,5,4,3] => [[.,[.,[[[[.,.],.],.],.]]],.] => 1
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [1,7,2,6,5,4,3] => [.,[[.,[[[[.,.],.],.],.]],.]] => 1
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [7,6,1,5,4,3,2] => [[[.,[[[[.,.],.],.],.]],.],.] => 1
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [6,7,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => 2
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [1,2,3,6,7,5,4] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => 1
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [7,1,2,5,6,4,3] => [[.,[.,[[[.,.],.],[.,.]]]],.] => 1
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [1,7,2,5,6,4,3] => [.,[[.,[[[.,.],.],[.,.]]],.]] => 1
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [7,6,1,4,5,3,2] => [[[.,[[[.,.],.],[.,.]]],.],.] => 1
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [6,7,1,4,5,3,2] => [[.,[[[.,.],.],[.,.]]],[.,.]] => 2
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [1,2,3,7,5,6,4] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 1
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [7,1,2,6,4,5,3] => [[.,[.,[[[.,.],[.,.]],.]]],.] => 1
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [1,7,2,6,4,5,3] => [.,[[.,[[[.,.],[.,.]],.]],.]] => 1
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [7,6,1,5,3,4,2] => [[[.,[[[.,.],[.,.]],.]],.],.] => 1
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [6,7,1,5,3,4,2] => [[.,[[[.,.],[.,.]],.]],[.,.]] => 2
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [1,2,3,6,5,7,4] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => 1
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [7,1,2,5,4,6,3] => [[.,[.,[[[.,.],.],[.,.]]]],.] => 1
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [1,7,2,5,4,6,3] => [.,[[.,[[[.,.],.],[.,.]]],.]] => 1
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [7,6,1,4,3,5,2] => [[[.,[[[.,.],.],[.,.]]],.],.] => 1
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [6,7,1,4,3,5,2] => [[.,[[[.,.],.],[.,.]]],[.,.]] => 2
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [1,2,3,5,6,7,4] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 1
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [7,1,2,4,5,6,3] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => 1
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [1,7,2,4,5,6,3] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => 1
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [7,6,1,3,4,5,2] => [[[.,[[.,.],[.,[.,.]]]],.],.] => 1
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [6,7,1,3,4,5,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => 2
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [1,2,7,6,5,4,3] => [.,[.,[[[[[.,.],.],.],.],.]]] => 1
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [7,1,6,5,4,3,2] => [[.,[[[[[.,.],.],.],.],.]],.] => 1
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [1,2,6,7,5,4,3] => [.,[.,[[[[.,.],.],.],[.,.]]]] => 1
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [7,1,5,6,4,3,2] => [[.,[[[[.,.],.],.],[.,.]]],.] => 1
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [1,2,7,5,6,4,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 1
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [7,1,6,4,5,3,2] => [[.,[[[[.,.],.],[.,.]],.]],.] => 1
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [1,2,6,5,7,4,3] => [.,[.,[[[[.,.],.],.],[.,.]]]] => 1
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [7,1,5,4,6,3,2] => [[.,[[[[.,.],.],.],[.,.]]],.] => 1
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [1,2,5,6,7,4,3] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => 1
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [7,1,4,5,6,3,2] => [[.,[[[.,.],.],[.,[.,.]]]],.] => 1
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [1,2,7,6,4,5,3] => [.,[.,[[[[.,.],[.,.]],.],.]]] => 1
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [7,1,6,5,3,4,2] => [[.,[[[[.,.],[.,.]],.],.]],.] => 1
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [1,2,6,7,4,5,3] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => 1
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [7,1,5,6,3,4,2] => [[.,[[[.,.],[.,.]],[.,.]]],.] => 1
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [1,2,7,5,4,6,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 1
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [7,1,6,4,3,5,2] => [[.,[[[[.,.],.],[.,.]],.]],.] => 1
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [1,2,7,4,5,6,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 1
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [7,1,6,3,4,5,2] => [[.,[[[.,.],[.,[.,.]]],.]],.] => 1
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [1,2,6,5,4,7,3] => [.,[.,[[[[.,.],.],.],[.,.]]]] => 1
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [7,1,5,4,3,6,2] => [[.,[[[[.,.],.],.],[.,.]]],.] => 1
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [1,2,5,6,4,7,3] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => 1
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [7,1,4,5,3,6,2] => [[.,[[[.,.],.],[.,[.,.]]]],.] => 1
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [1,2,6,4,5,7,3] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => 1
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [7,1,5,3,4,6,2] => [[.,[[[.,.],[.,.]],[.,.]]],.] => 1
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [1,2,5,4,6,7,3] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => 1
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [7,1,4,3,5,6,2] => [[.,[[[.,.],.],[.,[.,.]]]],.] => 1
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [1,2,4,5,6,7,3] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 1
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [7,1,3,4,5,6,2] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => 1
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 1
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [1,6,7,5,4,3,2] => [.,[[[[[.,.],.],.],.],[.,.]]] => 1
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [1,7,5,6,4,3,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => 1
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [1,6,5,7,4,3,2] => [.,[[[[[.,.],.],.],.],[.,.]]] => 1
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [1,5,6,7,4,3,2] => [.,[[[[.,.],.],.],[.,[.,.]]]] => 1
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [1,7,6,4,5,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => 1
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [1,6,7,4,5,3,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => 1
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [1,7,5,4,6,3,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => 1
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [1,7,4,5,6,3,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 1
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [1,6,5,4,7,3,2] => [.,[[[[[.,.],.],.],.],[.,.]]] => 1
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [1,5,6,4,7,3,2] => [.,[[[[.,.],.],.],[.,[.,.]]]] => 1
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [1,6,4,5,7,3,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => 1
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [1,5,4,6,7,3,2] => [.,[[[[.,.],.],.],[.,[.,.]]]] => 1
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [1,4,5,6,7,3,2] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => 1
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [1,7,6,5,3,4,2] => [.,[[[[[.,.],[.,.]],.],.],.]] => 1
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [1,6,7,5,3,4,2] => [.,[[[[.,.],[.,.]],.],[.,.]]] => 1
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [1,7,5,6,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => 1
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [1,6,5,7,3,4,2] => [.,[[[[.,.],[.,.]],.],[.,.]]] => 1
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [1,5,6,7,3,4,2] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => 1
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [1,7,6,4,3,5,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => 1
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [1,6,7,4,3,5,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => 1
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [1,7,6,3,4,5,2] => [.,[[[[.,.],[.,[.,.]]],.],.]] => 1
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [1,6,7,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => 1
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [1,7,5,4,3,6,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => 1
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [1,7,4,5,3,6,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 1
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [1,7,5,3,4,6,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => 1
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [1,7,4,3,5,6,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 1
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [1,7,3,4,5,6,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 1
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [1,6,5,4,3,7,2] => [.,[[[[[.,.],.],.],.],[.,.]]] => 1
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [1,5,6,4,3,7,2] => [.,[[[[.,.],.],.],[.,[.,.]]]] => 1
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [1,6,4,5,3,7,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => 1
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [1,5,4,6,3,7,2] => [.,[[[[.,.],.],.],[.,[.,.]]]] => 1
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [1,4,5,6,3,7,2] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => 1
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [1,6,5,3,4,7,2] => [.,[[[[.,.],[.,.]],.],[.,.]]] => 1
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [1,5,6,3,4,7,2] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => 1
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [1,6,4,3,5,7,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => 1
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [1,6,3,4,5,7,2] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => 1
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [1,5,4,3,6,7,2] => [.,[[[[.,.],.],.],[.,[.,.]]]] => 1
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [1,4,5,3,6,7,2] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => 1
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [1,5,3,4,6,7,2] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => 1
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [1,4,3,5,6,7,2] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => 1
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [1,3,4,5,6,7,2] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => 1
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [6,7,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => 2
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [7,5,6,4,3,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => 1
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [6,5,7,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => 2
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [5,6,7,4,3,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => 2
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [7,6,4,5,3,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => 1
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [6,7,4,5,3,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 2
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [7,5,4,6,3,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => 1
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [7,4,5,6,3,2,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => 1
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [6,5,4,7,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => 2
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [5,6,4,7,3,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => 2
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [6,4,5,7,3,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 2
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [5,4,6,7,3,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => 2
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [4,5,6,7,3,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 2
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [7,6,5,3,4,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => 1
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [6,7,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => 2
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [7,5,6,3,4,2,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => 1
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [6,5,7,3,4,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => 2
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [5,6,7,3,4,2,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [7,6,4,3,5,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => 1
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [6,7,4,3,5,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 2
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [7,6,3,4,5,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => 1
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [6,7,3,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 2
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [7,5,4,3,6,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => 1
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [7,4,5,3,6,2,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => 1
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [7,5,3,4,6,2,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => 1
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [7,4,3,5,6,2,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => 1
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [7,3,4,5,6,2,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 1
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [6,5,4,3,7,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => 2
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [5,6,4,3,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => 2
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [6,4,5,3,7,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 2
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [5,4,6,3,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => 2
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [4,5,6,3,7,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 2
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [6,5,3,4,7,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => 2
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [5,6,3,4,7,2,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [6,4,3,5,7,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 2
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [6,3,4,5,7,2,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 2
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [5,4,3,6,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => 2
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [4,5,3,6,7,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 2
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [5,3,4,6,7,2,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [4,3,5,6,7,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 2
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [3,4,5,6,7,2,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 2
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [7,6,5,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],.],.] => 1
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [6,7,5,4,2,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => 2
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [7,5,6,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => 1
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [6,5,7,4,2,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => 2
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [5,6,7,4,2,3,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => 2
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [7,6,4,5,2,3,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => 1
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [6,7,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [7,5,4,6,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => 1
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [7,4,5,6,2,3,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => 1
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [6,5,4,7,2,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => 2
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [5,6,4,7,2,3,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => 2
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [6,4,5,7,2,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [5,4,6,7,2,3,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => 2
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [4,5,6,7,2,3,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [7,6,5,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],.],.] => 1
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [6,7,5,3,2,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => 2
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [7,5,6,3,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => 1
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [6,5,7,3,2,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => 2
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [5,6,7,3,2,4,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [7,6,5,2,3,4,1] => [[[[[.,.],[.,[.,.]]],.],.],.] => 1
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [6,7,5,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],[.,.]] => 2
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [7,5,6,2,3,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => 1
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [6,5,7,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],[.,.]] => 2
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [5,6,7,2,3,4,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 2
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [7,6,4,3,2,5,1] => [[[[[[.,.],.],.],[.,.]],.],.] => 1
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [6,7,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 2
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [7,6,3,4,2,5,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => 1
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [6,7,3,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 2
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [7,6,4,2,3,5,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => 1
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [6,7,4,2,3,5,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [7,6,3,2,4,5,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => 1
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [6,7,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 2
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [7,6,2,3,4,5,1] => [[[[.,.],[.,[.,[.,.]]]],.],.] => 1
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [6,7,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 2
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [7,5,4,3,2,6,1] => [[[[[[.,.],.],.],.],[.,.]],.] => 1
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [7,4,5,3,2,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => 1
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [7,5,3,4,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => 1
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [7,4,3,5,2,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => 1
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [7,3,4,5,2,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 1
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [7,5,4,2,3,6,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => 1
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [7,4,5,2,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => 1
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [7,5,3,2,4,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => 1
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [7,5,2,3,4,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => 1
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [7,4,3,2,5,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => 1
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [7,3,4,2,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 1
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [7,4,2,3,5,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => 1
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [7,3,2,4,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 1
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [7,2,3,4,5,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 1
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],.],[.,.]] => 2
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [5,6,4,3,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => 2
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [6,4,5,3,2,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 2
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [5,4,6,3,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => 2
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [4,5,6,3,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 2
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [6,5,3,4,2,7,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => 2
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [5,6,3,4,2,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [6,4,3,5,2,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 2
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [6,3,4,5,2,7,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 2
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [5,4,3,6,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => 2
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [4,5,3,6,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 2
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [5,3,4,6,2,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [4,3,5,6,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 2
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [3,4,5,6,2,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 2
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [6,5,4,2,3,7,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => 2
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [5,6,4,2,3,7,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => 2
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [6,4,5,2,3,7,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [5,4,6,2,3,7,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => 2
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [4,5,6,2,3,7,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [6,5,3,2,4,7,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => 2
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [5,6,3,2,4,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [6,5,2,3,4,7,1] => [[[[.,.],[.,[.,.]]],.],[.,.]] => 2
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [5,6,2,3,4,7,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 2
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [6,4,3,2,5,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 2
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [6,3,4,2,5,7,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 2
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [6,4,2,3,5,7,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 2
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [6,3,2,4,5,7,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 2
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [6,2,3,4,5,7,1] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 2
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [5,4,3,2,6,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => 2
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [4,5,3,2,6,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 2
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [5,3,4,2,6,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [4,3,5,2,6,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 2
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [3,4,5,2,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 2
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [5,4,2,3,6,7,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => 2
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [4,5,2,3,6,7,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [5,3,2,4,6,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [5,2,3,4,6,7,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 2
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [4,3,2,5,6,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 2
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,4,2,5,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 2
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [4,2,3,5,6,7,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [3,2,4,5,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 2
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 2
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => 1
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [8,1,2,3,4,5,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => 1
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [1,8,2,3,4,5,6,7] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => 1
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [1,2,8,3,4,5,6,7] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => 1
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [1,8,7,2,3,4,5,6] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => 1
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [1,7,8,2,3,4,5,6] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => 1
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [1,2,3,8,4,5,6,7] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => 1
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [1,8,2,7,3,4,5,6] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => 1
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [8,7,5,4,6,3,2,1] => [1,2,8,7,3,4,5,6] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => 1
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [1,2,7,8,3,4,5,6] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => 1
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [1,8,7,6,2,3,4,5] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => 1
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [8,5,6,4,7,3,2,1] => [1,7,8,6,2,3,4,5] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => 1
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [8,6,4,5,7,3,2,1] => [1,8,6,7,2,3,4,5] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => 1
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [8,5,4,6,7,3,2,1] => [1,7,6,8,2,3,4,5] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => 1
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [1,6,7,8,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => 1
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [5,6,7,8,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => 2
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [1,2,3,4,8,5,6,7] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => 1
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [8,1,2,3,7,4,5,6] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => 1
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [1,2,8,3,7,4,5,6] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => 1
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [8,7,6,4,3,5,2,1] => [1,2,3,8,7,4,5,6] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => 1
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [1,8,2,7,6,3,4,5] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => 1
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [1,2,3,7,8,4,5,6] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => 1
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [8,6,7,3,4,5,2,1] => [1,8,2,6,7,3,4,5] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => 1
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [1,2,8,7,6,3,4,5] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => 1
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [8,7,4,5,3,6,2,1] => [1,2,7,8,6,3,4,5] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => 1
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [1,2,7,6,8,3,4,5] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => 1
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [1,2,6,7,8,3,4,5] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => 1
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [1,8,7,6,5,2,3,4] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => 1
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [8,6,4,5,3,7,2,1] => [1,8,6,7,5,2,3,4] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => 1
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [1,8,6,5,7,2,3,4] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => 1
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [1,7,6,5,8,2,3,4] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => 1
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [8,4,3,5,6,7,2,1] => [1,6,5,7,8,2,3,4] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => 1
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [1,5,6,7,8,2,3,4] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => 1
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [7,8,6,5,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => 2
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [7,6,8,5,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => 2
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [6,7,8,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => 2
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [7,6,5,8,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => 2
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [6,5,7,8,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => 2
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [7,6,5,4,8,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => 2
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [6,5,4,7,8,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => 2
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [1,2,3,4,5,8,6,7] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => 1
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [8,1,2,3,4,7,5,6] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => 1
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [1,8,2,3,4,7,5,6] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => 1
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,2,3,1] => [1,8,7,2,3,6,4,5] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => 1
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,2,3,1] => [1,7,8,2,3,6,4,5] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => 1
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [1,2,3,8,4,7,5,6] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => 1
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [1,8,2,7,3,6,4,5] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => 1
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,2,3,1] => [7,8,1,6,2,5,3,4] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => 2
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,2,3,1] => [1,2,7,8,3,6,4,5] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => 1
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,2,3,1] => [1,8,6,7,2,5,3,4] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 1
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [8,4,5,6,7,2,3,1] => [1,6,7,8,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => 1
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,2,3,1] => [7,8,5,6,1,4,2,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => 2
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [1,2,3,4,8,7,5,6] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => 1
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,2,4,1] => [1,8,2,3,7,6,4,5] => [.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => 1
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [1,2,8,3,7,6,4,5] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => 1
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [1,8,7,2,6,5,3,4] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => 1
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [1,2,3,4,7,8,5,6] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => 1
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,2,3,4,1] => [1,2,8,3,6,7,4,5] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => 1
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [7,8,5,6,2,3,4,1] => [8,1,7,2,5,6,3,4] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => 1
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,2,3,4,1] => [1,8,7,2,5,6,3,4] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => 1
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [1,7,8,2,5,6,3,4] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => 1
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [6,7,5,8,2,3,4,1] => [7,8,6,1,4,5,2,3] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => 2
[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [6,5,7,8,2,3,4,1] => [7,6,8,1,4,5,2,3] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => 2
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [8,7,6,4,3,2,5,1] => [1,2,3,8,7,6,4,5] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => 1
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [1,2,3,7,8,6,4,5] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => 1
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,2,3,5,1] => [1,2,3,8,6,7,4,5] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => 1
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,2,3,5,1] => [1,8,2,7,5,6,3,4] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => 1
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [7,8,1,6,4,5,2,3] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => 2
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [1,2,3,7,6,8,4,5] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => 1
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [8,6,7,3,2,4,5,1] => [1,8,2,6,5,7,3,4] => [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => 1
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [8,7,6,2,3,4,5,1] => [1,2,3,6,7,8,4,5] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => 1
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [1,8,2,5,6,7,3,4] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => 1
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [1,2,8,7,6,5,3,4] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => 1
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [1,2,8,6,7,5,3,4] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => 1
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [8,7,5,4,2,3,6,1] => [1,2,8,7,5,6,3,4] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => 1
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [8,7,5,3,2,4,6,1] => [1,2,8,6,5,7,3,4] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => 1
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [8,7,4,3,2,5,6,1] => [1,2,7,6,5,8,3,4] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => 1
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [7,8,4,2,3,5,6,1] => [8,1,6,4,5,7,2,3] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => 1
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [1,2,5,6,7,8,3,4] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => 1
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [1,8,7,6,5,4,2,3] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => 1
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [8,5,6,4,3,2,7,1] => [1,7,8,6,5,4,2,3] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => 1
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [8,6,4,5,3,2,7,1] => [1,8,6,7,5,4,2,3] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => 1
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [1,7,6,8,5,4,2,3] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => 1
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [8,6,5,3,4,2,7,1] => [1,8,7,5,6,4,2,3] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => 1
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [1,7,8,5,6,4,2,3] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => 1
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [1,7,6,5,8,4,2,3] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => 1
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [1,6,7,5,8,4,2,3] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => 1
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [8,4,3,5,6,2,7,1] => [1,6,5,7,8,4,2,3] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => 1
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [1,5,6,7,8,4,2,3] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => 1
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,2,3,7,1] => [1,8,7,6,4,5,2,3] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => 1
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [8,6,4,5,2,3,7,1] => [1,8,6,7,4,5,2,3] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 1
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [8,6,5,3,2,4,7,1] => [1,8,7,5,4,6,2,3] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => 1
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [1,8,6,4,5,7,2,3] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => 1
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [1,8,4,5,6,7,2,3] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => 1
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [1,7,6,5,4,8,2,3] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => 1
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [8,4,5,3,2,6,7,1] => [1,6,7,5,4,8,2,3] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => 1
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [1,7,5,6,4,8,2,3] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => 1
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [1,5,6,7,4,8,2,3] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => 1
[.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [8,5,2,3,4,6,7,1] => [1,7,4,5,6,8,2,3] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => 1
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [8,4,2,3,5,6,7,1] => [1,6,4,5,7,8,2,3] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => 1
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [1,5,4,6,7,8,2,3] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => 1
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [1,4,5,6,7,8,2,3] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => 1
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [7,8,6,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => 2
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [7,6,8,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => 2
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [7,6,5,8,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => 2
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [5,6,7,3,4,2,8,1] => [6,7,8,4,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => 2
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [7,6,5,4,8,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => 2
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [6,7,4,5,8,3,1,2] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => 2
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [5,6,7,4,2,3,8,1] => [6,7,8,5,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => 2
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [7,8,5,6,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => 2
[.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [5,6,4,7,2,3,8,1] => [6,7,5,8,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => 2
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [7,5,6,8,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => 2
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [6,5,7,8,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => 2
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [7,6,5,4,3,8,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => 2
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [5,3,2,4,6,7,8,1] => [6,4,3,5,7,8,1,2] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => 2
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [3,4,5,6,7,8,1,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 2
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,8,7] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => 1
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [8,1,2,3,4,5,7,6] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => 1
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [1,8,2,3,4,5,7,6] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => 1
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [1,2,8,3,4,5,7,6] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => 1
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [1,8,7,2,3,4,6,5] => [.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => 1
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [1,2,3,8,4,5,7,6] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => 1
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [1,8,2,7,3,4,6,5] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => 1
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [1,2,8,7,3,4,6,5] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => 1
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,3,1,2] => [1,7,8,6,2,3,5,4] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => 1
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [8,5,4,6,7,3,1,2] => [1,7,6,8,2,3,5,4] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => 1
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [1,2,3,4,8,5,7,6] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => 1
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [1,2,8,3,7,4,6,5] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => 1
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [8,1,7,2,6,3,5,4] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => 1
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,4,1,2] => [1,8,7,2,6,3,5,4] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => 1
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [1,2,3,7,8,4,6,5] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => 1
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [8,7,4,5,3,6,1,2] => [1,2,7,8,6,3,5,4] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => 1
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [8,7,4,3,5,6,1,2] => [1,2,7,6,8,3,5,4] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => 1
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [8,7,3,4,5,6,1,2] => [1,2,6,7,8,3,5,4] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => 1
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,3,7,1,2] => [1,8,7,6,5,2,4,3] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => 1
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,3,7,1,2] => [1,7,6,8,5,2,4,3] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => 1
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [8,5,4,3,6,7,1,2] => [1,7,6,5,8,2,4,3] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => 1
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [8,5,3,4,6,7,1,2] => [1,7,5,6,8,2,4,3] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => 1
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [1,6,5,7,8,2,4,3] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => 1
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [1,5,6,7,8,2,4,3] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => 1
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [7,6,8,5,4,1,3,2] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => 2
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [7,6,5,8,4,1,3,2] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => 2
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [7,6,5,4,8,1,3,2] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => 2
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [1,2,3,4,5,8,7,6] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => 1
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [8,1,2,3,4,7,6,5] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => 1
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [8,6,7,5,4,2,1,3] => [1,8,2,3,4,7,6,5] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => 1
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [8,7,5,6,4,2,1,3] => [1,2,8,3,4,7,6,5] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => 1
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,2,1,3] => [1,8,7,2,3,6,5,4] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => 1
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,2,1,3] => [1,2,3,8,4,7,6,5] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => 1
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,2,1,3] => [1,8,2,7,3,6,5,4] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => 1
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,2,1,3] => [1,2,7,8,3,6,5,4] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => 1
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,2,1,3] => [1,8,7,6,2,5,4,3] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => 1
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,2,1,3] => [1,8,6,7,2,5,4,3] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => 1
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,2,1,3] => [7,8,6,5,1,4,3,2] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => 2
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [7,6,8,5,1,4,3,2] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => 2
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [1,2,3,4,5,7,8,6] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => 1
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [8,1,2,3,4,6,7,5] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => 1
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,1,2,3] => [1,8,7,2,3,5,6,4] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => 1
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [1,7,8,2,3,5,6,4] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => 1
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => [1,2,3,8,4,6,7,5] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => 1
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [1,8,2,7,3,5,6,4] => [.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => 1
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [1,2,7,8,3,5,6,4] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => 1
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,1,2,3] => [1,8,7,6,2,4,5,3] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => 1
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [1,6,7,8,2,4,5,3] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => 1
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [1,2,3,4,8,7,6,5] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => 1
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [1,8,2,3,7,6,5,4] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => 1
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [1,2,8,3,7,6,5,4] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => 1
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [1,8,7,2,6,5,4,3] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => 1
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [1,2,3,4,7,8,6,5] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => 1
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [1,8,2,3,6,7,5,4] => [.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => 1
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,3,1,4] => [1,8,7,2,5,6,4,3] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => 1
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [1,2,3,4,8,6,7,5] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => 1
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,1,2,4] => [1,8,2,3,7,5,6,4] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => 1
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,1,2,4] => [1,8,7,2,6,4,5,3] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => 1
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [1,2,3,4,7,6,8,5] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => 1
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,1,3,4] => [1,2,8,3,6,5,7,4] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => 1
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,1,3,4] => [1,8,7,2,5,4,6,3] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => 1
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [1,2,3,4,6,7,8,5] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => 1
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [8,1,2,3,5,6,7,4] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => 1
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [1,8,2,3,5,6,7,4] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => 1
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [1,2,8,3,5,6,7,4] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => 1
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [1,8,7,2,4,5,6,3] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => 1
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [1,7,8,2,4,5,6,3] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => 1
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [1,2,3,8,7,6,5,4] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => 1
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [8,6,7,4,3,2,1,5] => [1,8,2,7,6,5,4,3] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => 1
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [1,2,3,7,8,6,5,4] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => 1
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [1,2,3,8,6,7,5,4] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => 1
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [1,2,3,7,6,8,5,4] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => 1
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [1,2,3,6,7,8,5,4] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => 1
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [8,6,7,2,3,4,1,5] => [1,8,2,5,6,7,4,3] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => 1
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [1,2,3,8,7,5,6,4] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => 1
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [1,2,3,7,8,5,6,4] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => 1
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [1,8,2,6,7,4,5,3] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => 1
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [1,2,3,8,6,5,7,4] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => 1
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [1,8,2,7,5,4,6,3] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => 1
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [1,2,3,8,5,6,7,4] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => 1
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [1,2,3,7,6,5,8,4] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => 1
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [1,2,3,6,7,5,8,4] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => 1
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [8,6,7,2,3,1,4,5] => [1,8,2,5,6,4,7,3] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => 1
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [1,2,3,7,5,6,8,4] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => 1
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [1,2,3,6,5,7,8,4] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => 1
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [1,8,2,5,4,6,7,3] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => 1
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [1,2,3,5,6,7,8,4] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => 1
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [1,8,2,4,5,6,7,3] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => 1
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [1,2,8,7,6,5,4,3] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => 1
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [8,7,4,5,3,2,1,6] => [1,2,7,8,6,5,4,3] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => 1
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [1,2,8,6,7,5,4,3] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => 1
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [8,7,4,3,5,2,1,6] => [1,2,7,6,8,5,4,3] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => 1
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [8,7,3,4,5,2,1,6] => [1,2,6,7,8,5,4,3] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => 1
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [1,2,7,8,5,6,4,3] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => 1
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [1,2,8,6,5,7,4,3] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => 1
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [8,7,4,3,2,5,1,6] => [1,2,7,6,5,8,4,3] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => 1
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [8,7,2,3,4,5,1,6] => [1,2,5,6,7,8,4,3] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => 1
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [1,2,6,7,8,4,5,3] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => 1
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,1,2,3,6] => [1,2,8,7,4,5,6,3] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => 1
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [8,7,4,5,1,2,3,6] => [1,2,7,8,4,5,6,3] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => 1
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [1,2,8,6,5,4,7,3] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => 1
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [8,7,5,2,3,1,4,6] => [1,2,8,5,6,4,7,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => 1
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [1,2,8,6,4,5,7,3] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => 1
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [1,2,8,5,4,6,7,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => 1
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [1,2,8,4,5,6,7,3] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => 1
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [1,2,7,6,5,4,8,3] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => 1
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [8,7,2,3,4,1,5,6] => [1,2,5,6,7,4,8,3] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => 1
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [8,7,3,4,1,2,5,6] => [1,2,6,7,4,5,8,3] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => 1
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [1,2,7,5,4,6,8,3] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => 1
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [1,2,7,4,5,6,8,3] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => 1
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [1,2,6,5,4,7,8,3] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => 1
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [8,7,2,3,1,4,5,6] => [1,2,5,6,4,7,8,3] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => 1
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [1,2,5,4,6,7,8,3] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => 1
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [1,2,4,5,6,7,8,3] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [1,8,7,6,5,4,3,2] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => 1
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [1,7,8,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => 1
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [8,6,4,5,3,2,1,7] => [1,8,6,7,5,4,3,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => 1
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [8,5,4,6,3,2,1,7] => [1,7,6,8,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => 1
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [1,6,7,8,5,4,3,2] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => 1
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [1,8,7,5,6,4,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => 1
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [8,5,6,3,4,2,1,7] => [1,7,8,5,6,4,3,2] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => 1
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [8,4,5,3,6,2,1,7] => [1,6,7,5,8,4,3,2] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => 1
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [1,6,5,7,8,4,3,2] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => 1
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [8,3,4,5,6,2,1,7] => [1,5,6,7,8,4,3,2] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => 1
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [1,8,7,6,4,5,3,2] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => 1
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [8,5,6,4,2,3,1,7] => [1,7,8,6,4,5,3,2] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => 1
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,2,3,1,7] => [1,8,6,7,4,5,3,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => 1
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [8,4,5,6,2,3,1,7] => [1,6,7,8,4,5,3,2] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => 1
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [1,8,7,5,4,6,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => 1
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [8,6,5,2,3,4,1,7] => [1,8,7,4,5,6,3,2] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => 1
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [8,6,4,3,2,5,1,7] => [1,8,6,5,4,7,3,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => 1
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [8,6,4,2,3,5,1,7] => [1,8,6,4,5,7,3,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => 1
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [1,8,5,4,6,7,3,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => 1
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [1,7,6,5,4,8,3,2] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => 1
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [8,5,4,2,3,6,1,7] => [1,7,6,4,5,8,3,2] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => 1
[[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [8,5,2,3,4,6,1,7] => [1,7,4,5,6,8,3,2] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => 1
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [8,3,4,2,5,6,1,7] => [1,5,6,4,7,8,3,2] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => 1
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [1,5,4,6,7,8,3,2] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => 1
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [1,4,5,6,7,8,3,2] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => 1
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [1,8,7,6,5,3,4,2] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => 1
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,3,1,2,7] => [1,8,6,7,5,3,4,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => 1
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [1,8,7,5,6,3,4,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => 1
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [1,7,8,5,6,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => 1
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]] => [8,5,4,3,6,1,2,7] => [1,7,6,5,8,3,4,2] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => 1
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [8,4,5,3,6,1,2,7] => [1,6,7,5,8,3,4,2] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => 1
[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [1,6,5,7,8,3,4,2] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => 1
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [1,5,6,7,8,3,4,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 1
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [1,8,7,6,4,3,5,2] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => 1
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [8,4,5,6,2,1,3,7] => [1,6,7,8,4,3,5,2] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => 1
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [1,8,7,6,3,4,5,2] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => 1
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [1,7,8,6,3,4,5,2] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => 1
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [1,8,6,7,3,4,5,2] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => 1
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [1,6,7,8,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => 1
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [1,8,7,5,4,3,6,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => 1
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [8,5,6,3,2,1,4,7] => [1,7,8,5,4,3,6,2] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => 1
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [1,8,7,4,5,3,6,2] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => 1
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [1,7,8,4,5,3,6,2] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => 1
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [8,5,6,3,1,2,4,7] => [1,7,8,5,3,4,6,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => 1
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [1,8,7,4,3,5,6,2] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => 1
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [1,7,8,4,3,5,6,2] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => 1
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [1,8,7,3,4,5,6,2] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => 1
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [1,7,8,3,4,5,6,2] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => 1
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [1,8,6,5,4,3,7,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => 1
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [1,8,5,6,4,3,7,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => 1
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [8,6,4,2,3,1,5,7] => [1,8,6,4,5,3,7,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => 1
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [1,8,5,4,6,3,7,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => 1
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [8,6,2,3,4,1,5,7] => [1,8,4,5,6,3,7,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => 1
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [1,8,6,4,3,5,7,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => 1
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [8,6,3,2,1,4,5,7] => [1,8,5,4,3,6,7,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => 1
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [1,8,3,4,5,6,7,2] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => 1
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [1,7,6,5,4,3,8,2] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => 1
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [8,4,5,3,2,1,6,7] => [1,6,7,5,4,3,8,2] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => 1
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [8,4,3,5,2,1,6,7] => [1,6,5,7,4,3,8,2] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => 1
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [1,5,6,7,4,3,8,2] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => 1
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [8,4,5,2,3,1,6,7] => [1,6,7,4,5,3,8,2] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => 1
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [1,7,4,5,6,3,8,2] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => 1
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [8,4,2,3,5,1,6,7] => [1,6,4,5,7,3,8,2] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => 1
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [1,4,5,6,7,3,8,2] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => 1
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [8,3,4,5,1,2,6,7] => [1,5,6,7,3,4,8,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 1
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [8,5,4,2,1,3,6,7] => [1,7,6,4,3,5,8,2] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => 1
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [1,7,6,3,4,5,8,2] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => 1
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [8,4,5,1,2,3,6,7] => [1,6,7,3,4,5,8,2] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => 1
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [8,5,3,2,1,4,6,7] => [1,7,5,4,3,6,8,2] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => 1
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [1,7,5,3,4,6,8,2] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => 1
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [1,7,3,4,5,6,8,2] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => 1
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [1,5,6,3,4,7,8,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 1
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [1,5,4,3,6,7,8,2] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => 1
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [1,4,5,3,6,7,8,2] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => 1
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [1,5,3,4,6,7,8,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 1
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [1,4,3,5,6,7,8,2] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => 1
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [1,3,4,5,6,7,8,2] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => 1
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [8,7,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],.] => 1
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [7,8,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => 2
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [7,6,8,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => 2
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [6,7,4,5,3,2,1,8] => [7,8,5,6,4,3,2,1] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => 2
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [7,6,5,8,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => 2
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [6,7,5,3,4,2,1,8] => [7,8,6,4,5,3,2,1] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => 2
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [8,6,7,4,5,3,2,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => 1
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.] => [6,5,7,3,4,2,1,8] => [7,6,8,4,5,3,2,1] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => 2
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [7,6,5,4,8,3,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => 2
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [7,8,6,5,3,4,2,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => 2
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [8,6,7,5,3,4,2,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => 1
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [8,7,5,6,3,4,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => 1
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.] => [6,5,4,7,2,3,1,8] => [7,6,5,8,3,4,2,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => 2
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [7,6,8,4,3,5,2,1] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => 2
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [6,7,8,3,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => 2
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [6,7,4,3,2,5,1,8] => [7,8,5,4,3,6,2,1] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => 2
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [8,7,5,3,4,6,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => 1
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [8,6,4,3,5,7,2,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => 1
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [7,6,5,4,3,8,2,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => 2
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [7,6,4,3,5,8,2,1] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => 2
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [5,2,3,4,6,7,1,8] => [6,3,4,5,7,8,2,1] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => 2
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [7,8,6,5,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => 2
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [8,6,7,5,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => 1
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [6,7,3,4,5,1,2,8] => [7,8,4,5,6,2,3,1] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => 2
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [6,5,4,3,7,1,2,8] => [7,6,5,4,8,2,3,1] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => 2
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [6,7,4,5,8,2,3,1] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => 2
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,2,1,3,8] => [7,6,8,5,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => 2
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,2,1,3,8] => [8,7,5,6,3,2,4,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => 1
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [8,6,5,7,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => 1
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [6,7,8,5,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => 2
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [8,5,6,7,2,3,4,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => 1
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [6,7,5,8,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => 2
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [6,5,7,8,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => 2
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [5,6,7,8,2,3,4,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => 2
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [6,7,8,3,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => 2
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [6,7,8,4,2,3,5,1] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => 2
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [6,7,8,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => 2
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [6,7,4,3,2,1,5,8] => [7,8,5,4,3,2,6,1] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => 2
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [7,6,4,2,3,1,5,8] => [8,7,5,3,4,2,6,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => 1
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [8,7,5,3,2,4,6,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => 1
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [6,7,3,1,2,4,5,8] => [7,8,4,2,3,5,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => 2
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [7,5,4,2,3,1,6,8] => [8,6,5,3,4,2,7,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => 1
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [8,6,4,3,5,2,7,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => 1
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [7,5,4,3,1,2,6,8] => [8,6,5,4,2,3,7,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => 1
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [7,5,3,2,1,4,6,8] => [8,6,4,3,2,5,7,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => 1
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [7,6,5,4,3,2,8,1] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => 2
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [7,6,4,5,3,2,8,1] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => 2
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [6,4,3,2,5,1,7,8] => [7,5,4,3,6,2,8,1] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => 2
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [6,3,4,5,7,2,8,1] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => 2
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [7,6,5,4,2,3,8,1] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => 2
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [6,7,4,5,2,3,8,1] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => 2
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [6,5,4,2,1,3,7,8] => [7,6,5,3,2,4,8,1] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => 2
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [5,6,7,2,3,4,8,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => 2
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [5,6,2,1,3,4,7,8] => [6,7,3,2,4,5,8,1] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => 2
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [7,5,4,3,2,6,8,1] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => 2
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [7,5,2,3,4,6,8,1] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => 2
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [6,3,4,5,2,7,8,1] => [[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => 2
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [5,3,4,1,2,6,7,8] => [6,4,5,2,3,7,8,1] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => 2
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [6,5,2,3,4,7,8,1] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => 2
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [5,2,3,4,6,7,8,1] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => 2
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => 2
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [9,1,2,3,4,5,6,7,8] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => 2
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [10,1,2,3,4,5,6,7,8,9] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => 1
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [2,3,4,5,6,7,8,9,10,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => 2
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => [10,1,9,2,8,3,7,4,6,5] => [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => 1
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [8,9,7,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => 2
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [8,9,7,6,5,4,3,1,2] => [9,1,2,3,4,5,6,8,7] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => 1
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [9,10,8,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => 2
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [8,7,9,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => 2
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [9,10,8,7,6,5,4,3,1,2] => [10,1,2,3,4,5,6,7,9,8] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => 1
[.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]] => [8,9,6,7,4,5,2,3,10,1] => [9,10,7,8,5,6,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => 2
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [1,9,8,7,6,5,4,3,2] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [1,10,9,8,7,6,5,4,3,2] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => 1
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [8,7,6,5,4,3,2,9,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => 2
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [9,8,7,6,5,4,3,2,10,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => 2
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [9,7,6,5,4,3,2,8,1] => [1,9,8,7,6,5,4,2,3] => [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => 1
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [2,3,4,5,6,7,8,9,10,11,1] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => 2
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [10,8,7,6,5,4,3,2,9,1] => [1,10,9,8,7,6,5,4,2,3] => [.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => 1
[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] => [8,9,7,6,5,4,2,3,1] => [9,1,2,3,4,5,8,6,7] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => 1
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [11,1,2,3,4,5,6,7,8,9,10] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => 1
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [8,9,7,6,5,4,3,1,2] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => 2
[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]] => [8,9,7,6,5,4,3,2,10,1] => [9,10,8,7,6,5,4,3,1,2] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => 2
[.,[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]] => [7,6,8,5,4,3,2,9,1] => [8,7,9,6,5,4,3,1,2] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => 2
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [8,7,6,5,4,3,9,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => 2
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Generating function
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Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
4,1 10,4 28,14 84,48 264,165
F1=q
F2=2 q
F3=4 q+q2
F4=10 q+4 q2
F5=28 q+14 q2
F6=84 q+48 q2
F7=264 q+165 q2
Description
The protection number of a binary tree.
This is the minimal distance from the root to a leaf.
This is the minimal distance from the root to a leaf.
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
Map
Lehmer code rotation
Description
Sends a permutation π to the unique permutation τ (of the same length) such that every entry in the Lehmer code of τ is cyclically one larger than the Lehmer code of π.
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
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