Identifier
-
Mp00049:
Ordered trees
—to binary tree: left brother = left child⟶
Binary trees
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00090: Permutations —cycle-as-one-line notation⟶ Permutations
St000862: Permutations ⟶ ℤ
Values
[[]] => [.,.] => [1] => [1] => 1
[[],[]] => [[.,.],.] => [1,2] => [1,2] => 1
[[[]]] => [.,[.,.]] => [2,1] => [1,2] => 1
[[],[],[]] => [[[.,.],.],.] => [1,2,3] => [1,2,3] => 1
[[],[[]]] => [[.,.],[.,.]] => [1,3,2] => [1,2,3] => 1
[[[]],[]] => [[.,[.,.]],.] => [2,1,3] => [1,2,3] => 1
[[[],[]]] => [.,[[.,.],.]] => [2,3,1] => [1,2,3] => 1
[[[[]]]] => [.,[.,[.,.]]] => [3,2,1] => [1,3,2] => 2
[[],[],[],[]] => [[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => 1
[[],[],[[]]] => [[[.,.],.],[.,.]] => [1,2,4,3] => [1,2,3,4] => 1
[[],[[]],[]] => [[[.,.],[.,.]],.] => [1,3,2,4] => [1,2,3,4] => 1
[[],[[],[]]] => [[.,.],[[.,.],.]] => [1,3,4,2] => [1,2,3,4] => 1
[[],[[[]]]] => [[.,.],[.,[.,.]]] => [1,4,3,2] => [1,2,4,3] => 2
[[[]],[],[]] => [[[.,[.,.]],.],.] => [2,1,3,4] => [1,2,3,4] => 1
[[[]],[[]]] => [[.,[.,.]],[.,.]] => [2,1,4,3] => [1,2,3,4] => 1
[[[],[]],[]] => [[.,[[.,.],.]],.] => [2,3,1,4] => [1,2,3,4] => 1
[[[[]]],[]] => [[.,[.,[.,.]]],.] => [3,2,1,4] => [1,3,2,4] => 2
[[[],[],[]]] => [.,[[[.,.],.],.]] => [2,3,4,1] => [1,2,3,4] => 1
[[[],[[]]]] => [.,[[.,.],[.,.]]] => [2,4,3,1] => [1,2,4,3] => 2
[[[[]],[]]] => [.,[[.,[.,.]],.]] => [3,2,4,1] => [1,3,4,2] => 2
[[[[],[]]]] => [.,[.,[[.,.],.]]] => [3,4,2,1] => [1,3,2,4] => 2
[[[[[]]]]] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,4,2,3] => 2
[[],[],[],[],[]] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[[],[],[],[[]]] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [1,2,3,4,5] => 1
[[],[],[[]],[]] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [1,2,3,4,5] => 1
[[],[],[[],[]]] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [1,2,3,4,5] => 1
[[],[],[[[]]]] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [1,2,3,5,4] => 2
[[],[[]],[],[]] => [[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [1,2,3,4,5] => 1
[[],[[]],[[]]] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [1,2,3,4,5] => 1
[[],[[],[]],[]] => [[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [1,2,3,4,5] => 1
[[],[[[]]],[]] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [1,2,4,3,5] => 2
[[],[[],[],[]]] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [1,2,3,4,5] => 1
[[],[[],[[]]]] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [1,2,3,5,4] => 2
[[],[[[]],[]]] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [1,2,4,5,3] => 2
[[],[[[],[]]]] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [1,2,4,3,5] => 2
[[],[[[[]]]]] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [1,2,5,3,4] => 2
[[[]],[],[],[]] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [1,2,3,4,5] => 1
[[[]],[],[[]]] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [1,2,3,4,5] => 1
[[[]],[[]],[]] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [1,2,3,4,5] => 1
[[[]],[[],[]]] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [1,2,3,4,5] => 1
[[[]],[[[]]]] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [1,2,3,5,4] => 2
[[[],[]],[],[]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [1,2,3,4,5] => 1
[[[[]]],[],[]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [1,3,2,4,5] => 2
[[[],[]],[[]]] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [1,2,3,4,5] => 1
[[[[]]],[[]]] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [1,3,2,4,5] => 2
[[[],[],[]],[]] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [1,2,3,4,5] => 1
[[[],[[]]],[]] => [[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [1,2,4,3,5] => 2
[[[[]],[]],[]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [1,3,4,2,5] => 2
[[[[],[]]],[]] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [1,3,2,4,5] => 2
[[[[[]]]],[]] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [1,4,2,3,5] => 2
[[[],[],[],[]]] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [1,2,3,4,5] => 1
[[[],[],[[]]]] => [.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [1,2,3,5,4] => 2
[[[],[[]],[]]] => [.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [1,2,4,5,3] => 2
[[[],[[],[]]]] => [.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [1,2,4,3,5] => 2
[[[],[[[]]]]] => [.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [1,2,5,3,4] => 2
[[[[]],[],[]]] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [1,3,4,5,2] => 2
[[[[]],[[]]]] => [.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [1,3,5,2,4] => 2
[[[[],[]],[]]] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [1,3,2,4,5] => 2
[[[[[]]],[]]] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [1,4,5,2,3] => 2
[[[[],[],[]]]] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [1,3,5,2,4] => 2
[[[[],[[]]]]] => [.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [1,3,4,2,5] => 2
[[[[[]],[]]]] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [1,4,2,3,5] => 2
[[[[[],[]]]]] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [1,4,2,5,3] => 2
[[[[[[]]]]]] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,5,2,4,3] => 2
[[],[],[],[],[],[]] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 1
[[],[],[],[],[[]]] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 1
[[],[],[],[[]],[]] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 1
[[],[],[],[[],[]]] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => 1
[[],[],[],[[[]]]] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [1,2,3,4,6,5] => 2
[[],[],[[]],[],[]] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 1
[[],[],[[]],[[]]] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 1
[[],[],[[],[]],[]] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => 1
[[],[],[[[]]],[]] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [1,2,3,5,4,6] => 2
[[],[],[[],[],[]]] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [1,2,3,4,5,6] => 1
[[],[],[[],[[]]]] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [1,2,3,4,6,5] => 2
[[],[],[[[]],[]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [1,2,3,5,6,4] => 2
[[],[],[[[],[]]]] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [1,2,3,5,4,6] => 2
[[],[],[[[[]]]]] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [1,2,3,6,4,5] => 2
[[],[[]],[],[],[]] => [[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 1
[[],[[]],[],[[]]] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 1
[[],[[]],[[]],[]] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => 1
[[],[[]],[[],[]]] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [1,2,3,4,5,6] => 1
[[],[[]],[[[]]]] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [1,2,3,4,6,5] => 2
[[],[[],[]],[],[]] => [[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => 1
[[],[[[]]],[],[]] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [1,2,4,3,5,6] => 2
[[],[[],[]],[[]]] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [1,2,3,4,5,6] => 1
[[],[[[]]],[[]]] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [1,2,4,3,5,6] => 2
[[],[[],[],[]],[]] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [1,2,3,4,5,6] => 1
[[],[[],[[]]],[]] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [1,2,3,5,4,6] => 2
[[],[[[]],[]],[]] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [1,2,4,5,3,6] => 2
[[],[[[],[]]],[]] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [1,2,4,3,5,6] => 2
[[],[[[[]]]],[]] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [1,2,5,3,4,6] => 2
[[],[[],[],[],[]]] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [1,2,3,4,5,6] => 1
[[],[[],[],[[]]]] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [1,2,3,4,6,5] => 2
[[],[[],[[]],[]]] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [1,2,3,5,6,4] => 2
[[],[[],[[],[]]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [1,2,3,5,4,6] => 2
[[],[[],[[[]]]]] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [1,2,3,6,4,5] => 2
[[],[[[]],[],[]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [1,2,4,5,6,3] => 2
[[],[[[]],[[]]]] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [1,2,4,6,3,5] => 2
[[],[[[],[]],[]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [1,2,4,3,5,6] => 2
[[],[[[[]]],[]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [1,2,5,6,3,4] => 2
>>> Load all 905 entries. <<<[[],[[[],[],[]]]] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [1,2,4,6,3,5] => 2
[[],[[[],[[]]]]] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [1,2,4,5,3,6] => 2
[[],[[[[]],[]]]] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [1,2,5,3,4,6] => 2
[[],[[[[],[]]]]] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [1,2,5,3,6,4] => 2
[[],[[[[[]]]]]] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [1,2,6,3,5,4] => 2
[[[]],[],[],[],[]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [1,2,3,4,5,6] => 1
[[[]],[],[],[[]]] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => 1
[[[]],[],[[]],[]] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => 1
[[[]],[],[[],[]]] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [1,2,3,4,5,6] => 1
[[[]],[],[[[]]]] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [1,2,3,4,6,5] => 2
[[[]],[[]],[],[]] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [1,2,3,4,5,6] => 1
[[[]],[[]],[[]]] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => 1
[[[]],[[],[]],[]] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [1,2,3,4,5,6] => 1
[[[]],[[[]]],[]] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [1,2,3,5,4,6] => 2
[[[]],[[],[],[]]] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [1,2,3,4,5,6] => 1
[[[]],[[],[[]]]] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [1,2,3,4,6,5] => 2
[[[]],[[[]],[]]] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [1,2,3,5,6,4] => 2
[[[]],[[[],[]]]] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [1,2,3,5,4,6] => 2
[[[]],[[[[]]]]] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [1,2,3,6,4,5] => 2
[[[],[]],[],[],[]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [1,2,3,4,5,6] => 1
[[[[]]],[],[],[]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [1,3,2,4,5,6] => 2
[[[],[]],[],[[]]] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [1,2,3,4,5,6] => 1
[[[[]]],[],[[]]] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [1,3,2,4,5,6] => 2
[[[],[]],[[]],[]] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [1,2,3,4,5,6] => 1
[[[[]]],[[]],[]] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [1,3,2,4,5,6] => 2
[[[],[]],[[],[]]] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [1,2,3,4,5,6] => 1
[[[],[]],[[[]]]] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [1,2,3,4,6,5] => 2
[[[[]]],[[],[]]] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [1,3,2,4,5,6] => 2
[[[[]]],[[[]]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [1,3,2,4,6,5] => 2
[[[],[],[]],[],[]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [1,2,3,4,5,6] => 1
[[[],[[]]],[],[]] => [[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [1,2,4,3,5,6] => 2
[[[[]],[]],[],[]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [1,3,4,2,5,6] => 2
[[[[],[]]],[],[]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [1,3,2,4,5,6] => 2
[[[[[]]]],[],[]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [1,4,2,3,5,6] => 2
[[[],[],[]],[[]]] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [1,2,3,4,5,6] => 1
[[[],[[]]],[[]]] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [1,2,4,3,5,6] => 2
[[[[]],[]],[[]]] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [1,3,4,2,5,6] => 2
[[[[],[]]],[[]]] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [1,3,2,4,5,6] => 2
[[[[[]]]],[[]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [1,4,2,3,5,6] => 2
[[[],[],[],[]],[]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [1,2,3,4,5,6] => 1
[[[],[],[[]]],[]] => [[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [1,2,3,5,4,6] => 2
[[[],[[]],[]],[]] => [[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [1,2,4,5,3,6] => 2
[[[],[[],[]]],[]] => [[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [1,2,4,3,5,6] => 2
[[[],[[[]]]],[]] => [[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [1,2,5,3,4,6] => 2
[[[[]],[],[]],[]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [1,3,4,5,2,6] => 2
[[[[]],[[]]],[]] => [[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [1,3,5,2,4,6] => 2
[[[[],[]],[]],[]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [1,3,2,4,5,6] => 2
[[[[[]]],[]],[]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [1,4,5,2,3,6] => 2
[[[[],[],[]]],[]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [1,3,5,2,4,6] => 2
[[[[],[[]]]],[]] => [[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [1,3,4,2,5,6] => 2
[[[[[]],[]]],[]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [1,4,2,3,5,6] => 2
[[[[[],[]]]],[]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [1,4,2,5,3,6] => 2
[[[[[[]]]]],[]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [1,5,2,4,3,6] => 2
[[[],[],[],[],[]]] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[[[],[],[],[[]]]] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 2
[[[],[],[[]],[]]] => [.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [1,2,3,5,6,4] => 2
[[[],[],[[],[]]]] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [1,2,3,5,4,6] => 2
[[[],[],[[[]]]]] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 2
[[[],[[]],[],[]]] => [.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [1,2,4,5,6,3] => 2
[[[],[[]],[[]]]] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [1,2,4,6,3,5] => 2
[[[],[[],[]],[]]] => [.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [1,2,4,3,5,6] => 2
[[[],[[[]]],[]]] => [.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [1,2,5,6,3,4] => 2
[[[],[[],[],[]]]] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [1,2,4,6,3,5] => 2
[[[],[[],[[]]]]] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [1,2,4,5,3,6] => 2
[[[],[[[]],[]]]] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [1,2,5,3,4,6] => 2
[[[],[[[],[]]]]] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [1,2,5,3,6,4] => 2
[[[],[[[[]]]]]] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [1,2,6,3,5,4] => 2
[[[[]],[],[],[]]] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [1,3,4,5,6,2] => 2
[[[[]],[],[[]]]] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [1,3,4,6,2,5] => 2
[[[[]],[[]],[]]] => [.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [1,3,5,6,2,4] => 2
[[[[]],[[],[]]]] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [1,3,5,4,6,2] => 2
[[[[]],[[[]]]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [1,3,6,2,4,5] => 2
[[[[],[]],[],[]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [1,3,2,4,5,6] => 2
[[[[[]]],[],[]]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [1,4,5,6,2,3] => 2
[[[[],[]],[[]]]] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [1,3,2,4,6,5] => 2
[[[[[]]],[[]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [1,4,6,2,3,5] => 2
[[[[],[],[]],[]]] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [1,3,5,6,2,4] => 2
[[[[],[[]]],[]]] => [.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [1,3,4,2,5,6] => 2
[[[[[]],[]],[]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [1,4,2,3,5,6] => 2
[[[[[],[]]],[]]] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [1,4,2,5,6,3] => 2
[[[[[[]]]],[]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [1,5,6,2,4,3] => 2
[[[[],[],[],[]]]] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [1,3,5,2,4,6] => 2
[[[[],[],[[]]]]] => [.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [1,3,6,2,4,5] => 2
[[[[],[[]],[]]]] => [.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [1,3,4,6,2,5] => 2
[[[[],[[],[]]]]] => [.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [1,3,6,2,5,4] => 3
[[[[],[[[]]]]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [1,3,5,2,6,4] => 2
[[[[[]],[],[]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [1,4,6,2,3,5] => 2
[[[[[]],[[]]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [1,4,5,2,3,6] => 2
[[[[[],[]],[]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [1,4,6,2,5,3] => 3
[[[[[[]]],[]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [1,5,2,4,6,3] => 2
[[[[[],[],[]]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [1,4,3,6,2,5] => 2
[[[[[],[[]]]]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [1,4,3,5,2,6] => 2
[[[[[[]],[]]]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [1,5,2,4,3,6] => 2
[[[[[[],[]]]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [1,5,2,6,3,4] => 2
[[[[[[[]]]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => 2
[[],[],[],[],[],[],[]] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[[],[],[],[],[],[[]]] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 1
[[],[],[],[],[[]],[]] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 1
[[],[],[],[],[[],[]]] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 1
[[],[],[],[],[[[]]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => 2
[[],[],[],[[]],[],[]] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 1
[[],[],[],[[]],[[]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 1
[[],[],[],[[],[]],[]] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => 1
[[],[],[],[[[]]],[]] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [1,2,3,4,6,5,7] => 2
[[],[],[],[[],[],[]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => 1
[[],[],[],[[],[[]]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => 2
[[],[],[],[[[]],[]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [1,2,3,4,6,7,5] => 2
[[],[],[],[[[],[]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [1,2,3,4,6,5,7] => 2
[[],[],[],[[[[]]]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [1,2,3,4,7,5,6] => 2
[[],[],[[]],[],[],[]] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 1
[[],[],[[]],[],[[]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 1
[[],[],[[]],[[]],[]] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 1
[[],[],[[]],[[],[]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [1,2,3,4,5,6,7] => 1
[[],[],[[]],[[[]]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [1,2,3,4,5,7,6] => 2
[[],[],[[],[]],[],[]] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => 1
[[],[],[[[]]],[],[]] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [1,2,3,5,4,6,7] => 2
[[],[],[[],[]],[[]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [1,2,3,4,5,6,7] => 1
[[],[],[[[]]],[[]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [1,2,3,5,4,6,7] => 2
[[],[],[[],[],[]],[]] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [1,2,3,4,5,6,7] => 1
[[],[],[[],[[]]],[]] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [1,2,3,4,6,5,7] => 2
[[],[],[[[]],[]],[]] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [1,2,3,5,6,4,7] => 2
[[],[],[[[],[]]],[]] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [1,2,3,5,4,6,7] => 2
[[],[],[[[[]]]],[]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [1,2,3,6,4,5,7] => 2
[[],[],[[],[],[],[]]] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => 1
[[],[],[[],[],[[]]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [1,2,3,4,5,7,6] => 2
[[],[],[[],[[]],[]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [1,2,3,4,6,7,5] => 2
[[],[],[[],[[],[]]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [1,2,3,4,6,5,7] => 2
[[],[],[[],[[[]]]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [1,2,3,4,7,5,6] => 2
[[],[],[[[]],[],[]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [1,2,3,5,6,7,4] => 2
[[],[],[[[]],[[]]]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [1,2,3,5,7,4,6] => 2
[[],[],[[[],[]],[]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [1,2,3,5,4,6,7] => 2
[[],[],[[[[]]],[]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [1,2,3,6,7,4,5] => 2
[[],[],[[[],[],[]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [1,2,3,5,7,4,6] => 2
[[],[],[[[],[[]]]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [1,2,3,5,6,4,7] => 2
[[],[],[[[[]],[]]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [1,2,3,6,4,5,7] => 2
[[],[],[[[[],[]]]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [1,2,3,6,4,7,5] => 2
[[],[],[[[[[]]]]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [1,2,3,7,4,6,5] => 2
[[],[[]],[],[],[],[]] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[[],[[]],[],[],[[]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 1
[[],[[]],[],[[]],[]] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 1
[[],[[]],[],[[],[]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [1,2,3,4,5,6,7] => 1
[[],[[]],[],[[[]]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [1,2,3,4,5,7,6] => 2
[[],[[]],[[]],[],[]] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => 1
[[],[[]],[[]],[[]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 1
[[],[[]],[[],[]],[]] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [1,2,3,4,5,6,7] => 1
[[],[[]],[[[]]],[]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [1,2,3,4,6,5,7] => 2
[[],[[]],[[],[],[]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [1,2,3,4,5,6,7] => 1
[[],[[]],[[],[[]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [1,2,3,4,5,7,6] => 2
[[],[[]],[[[]],[]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [1,2,3,4,6,7,5] => 2
[[],[[]],[[[],[]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [1,2,3,4,6,5,7] => 2
[[],[[]],[[[[]]]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [1,2,3,4,7,5,6] => 2
[[],[[],[]],[],[],[]] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => 1
[[],[[[]]],[],[],[]] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [1,2,4,3,5,6,7] => 2
[[],[[],[]],[],[[]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [1,2,3,4,5,6,7] => 1
[[],[[[]]],[],[[]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [1,2,4,3,5,6,7] => 2
[[],[[],[]],[[]],[]] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [1,2,3,4,5,6,7] => 1
[[],[[[]]],[[]],[]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [1,2,4,3,5,6,7] => 2
[[],[[],[]],[[],[]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [1,2,3,4,5,6,7] => 1
[[],[[],[]],[[[]]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [1,2,3,4,5,7,6] => 2
[[],[[[]]],[[],[]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [1,2,4,3,5,6,7] => 2
[[],[[[]]],[[[]]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [1,2,4,3,5,7,6] => 2
[[],[[],[],[]],[],[]] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [1,2,3,4,5,6,7] => 1
[[],[[],[[]]],[],[]] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [1,2,3,5,4,6,7] => 2
[[],[[[]],[]],[],[]] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [1,2,4,5,3,6,7] => 2
[[],[[[],[]]],[],[]] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [1,2,4,3,5,6,7] => 2
[[],[[[[]]]],[],[]] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [1,2,5,3,4,6,7] => 2
[[],[[],[],[]],[[]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [1,2,3,4,5,6,7] => 1
[[],[[],[[]]],[[]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [1,2,3,5,4,6,7] => 2
[[],[[[]],[]],[[]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [1,2,4,5,3,6,7] => 2
[[],[[[],[]]],[[]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [1,2,4,3,5,6,7] => 2
[[],[[[[]]]],[[]]] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [1,2,5,3,4,6,7] => 2
[[],[[],[],[],[]],[]] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [1,2,3,4,5,6,7] => 1
[[],[[],[],[[]]],[]] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [1,2,3,4,6,5,7] => 2
[[],[[],[[]],[]],[]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [1,2,3,5,6,4,7] => 2
[[],[[],[[],[]]],[]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [1,2,3,5,4,6,7] => 2
[[],[[],[[[]]]],[]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [1,2,3,6,4,5,7] => 2
[[],[[[]],[],[]],[]] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [1,2,4,5,6,3,7] => 2
[[],[[[]],[[]]],[]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [1,2,4,6,3,5,7] => 2
[[],[[[],[]],[]],[]] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [1,2,4,3,5,6,7] => 2
[[],[[[[]]],[]],[]] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [1,2,5,6,3,4,7] => 2
[[],[[[],[],[]]],[]] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [1,2,4,6,3,5,7] => 2
[[],[[[],[[]]]],[]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [1,2,4,5,3,6,7] => 2
[[],[[[[]],[]]],[]] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [1,2,5,3,4,6,7] => 2
[[],[[[[],[]]]],[]] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [1,2,5,3,6,4,7] => 2
[[],[[[[[]]]]],[]] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [1,2,6,3,5,4,7] => 2
[[],[[],[],[],[],[]]] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => 1
[[],[[],[],[],[[]]]] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [1,2,3,4,5,7,6] => 2
[[],[[],[],[[]],[]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [1,2,3,4,6,7,5] => 2
[[],[[],[],[[],[]]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [1,2,3,4,6,5,7] => 2
[[],[[],[],[[[]]]]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [1,2,3,4,7,5,6] => 2
[[],[[],[[]],[],[]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [1,2,3,5,6,7,4] => 2
[[],[[],[[]],[[]]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [1,2,3,5,7,4,6] => 2
[[],[[],[[],[]],[]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [1,2,3,5,4,6,7] => 2
[[],[[],[[[]]],[]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [1,2,3,6,7,4,5] => 2
[[],[[],[[],[],[]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [1,2,3,5,7,4,6] => 2
[[],[[],[[],[[]]]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [1,2,3,5,6,4,7] => 2
[[],[[],[[[]],[]]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [1,2,3,6,4,5,7] => 2
[[],[[],[[[],[]]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [1,2,3,6,4,7,5] => 2
[[],[[],[[[[]]]]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [1,2,3,7,4,6,5] => 2
[[],[[[]],[],[],[]]] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [1,2,4,5,6,7,3] => 2
[[],[[[]],[],[[]]]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [1,2,4,5,7,3,6] => 2
[[],[[[]],[[]],[]]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [1,2,4,6,7,3,5] => 2
[[],[[[]],[[],[]]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [1,2,4,6,5,7,3] => 2
[[],[[[]],[[[]]]]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [1,2,4,7,3,5,6] => 2
[[],[[[],[]],[],[]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [1,2,4,3,5,6,7] => 2
[[],[[[[]]],[],[]]] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [1,2,5,6,7,3,4] => 2
[[],[[[],[]],[[]]]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [1,2,4,3,5,7,6] => 2
[[],[[[[]]],[[]]]] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [1,2,5,7,3,4,6] => 2
[[],[[[],[],[]],[]]] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [1,2,4,6,7,3,5] => 2
[[],[[[],[[]]],[]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [1,2,4,5,3,6,7] => 2
[[],[[[[]],[]],[]]] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [1,2,5,3,4,6,7] => 2
[[],[[[[],[]]],[]]] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [1,2,5,3,6,7,4] => 2
[[],[[[[[]]]],[]]] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [1,2,6,7,3,5,4] => 2
[[],[[[],[],[],[]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [1,2,4,6,3,5,7] => 2
[[],[[[],[],[[]]]]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [1,2,4,7,3,5,6] => 2
[[],[[[],[[]],[]]]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [1,2,4,5,7,3,6] => 2
[[],[[[],[[],[]]]]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [1,2,4,7,3,6,5] => 3
[[],[[[],[[[]]]]]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [1,2,4,6,3,7,5] => 2
[[],[[[[]],[],[]]]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [1,2,5,7,3,4,6] => 2
[[],[[[[]],[[]]]]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [1,2,5,6,3,4,7] => 2
[[],[[[[],[]],[]]]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [1,2,5,7,3,6,4] => 3
[[],[[[[[]]],[]]]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [1,2,6,3,5,7,4] => 2
[[],[[[[],[],[]]]]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [1,2,5,4,7,3,6] => 2
[[],[[[[],[[]]]]]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [1,2,5,4,6,3,7] => 2
[[],[[[[[]],[]]]]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [1,2,6,3,5,4,7] => 2
[[],[[[[[],[]]]]]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [1,2,6,3,7,4,5] => 2
[[],[[[[[[]]]]]]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [1,2,7,3,6,4,5] => 2
[[[]],[],[],[],[],[]] => [[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[[[]],[],[],[],[[]]] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => 1
[[[]],[],[],[[]],[]] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => 1
[[[]],[],[],[[],[]]] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [1,2,3,4,5,6,7] => 1
[[[]],[],[],[[[]]]] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [1,2,3,4,5,7,6] => 2
[[[]],[],[[]],[],[]] => [[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [1,2,3,4,5,6,7] => 1
[[[]],[],[[]],[[]]] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => 1
[[[]],[],[[],[]],[]] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [1,2,3,4,5,6,7] => 1
[[[]],[],[[[]]],[]] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [1,2,3,4,6,5,7] => 2
[[[]],[],[[],[],[]]] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [1,2,3,4,5,6,7] => 1
[[[]],[],[[],[[]]]] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [1,2,3,4,5,7,6] => 2
[[[]],[],[[[]],[]]] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [1,2,3,4,6,7,5] => 2
[[[]],[],[[[],[]]]] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [1,2,3,4,6,5,7] => 2
[[[]],[],[[[[]]]]] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [1,2,3,4,7,5,6] => 2
[[[]],[[]],[],[],[]] => [[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [1,2,3,4,5,6,7] => 1
[[[]],[[]],[],[[]]] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => 1
[[[]],[[]],[[]],[]] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 1
[[[]],[[]],[[],[]]] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => 1
[[[]],[[]],[[[]]]] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => 2
[[[]],[[],[]],[],[]] => [[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [1,2,3,4,5,6,7] => 1
[[[]],[[[]]],[],[]] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [1,2,3,5,4,6,7] => 2
[[[]],[[],[]],[[]]] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [1,2,3,4,5,6,7] => 1
[[[]],[[[]]],[[]]] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [1,2,3,5,4,6,7] => 2
[[[]],[[],[],[]],[]] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [1,2,3,4,5,6,7] => 1
[[[]],[[],[[]]],[]] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [1,2,3,4,6,5,7] => 2
[[[]],[[[]],[]],[]] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [1,2,3,5,6,4,7] => 2
[[[]],[[[],[]]],[]] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [1,2,3,5,4,6,7] => 2
[[[]],[[[[]]]],[]] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [1,2,3,6,4,5,7] => 2
[[[]],[[],[],[],[]]] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [1,2,3,4,5,6,7] => 1
[[[]],[[],[],[[]]]] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [1,2,3,4,5,7,6] => 2
[[[]],[[],[[]],[]]] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [1,2,3,4,6,7,5] => 2
[[[]],[[],[[],[]]]] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [1,2,3,4,6,5,7] => 2
[[[]],[[],[[[]]]]] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [1,2,3,4,7,5,6] => 2
[[[]],[[[]],[],[]]] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [1,2,3,5,6,7,4] => 2
[[[]],[[[]],[[]]]] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [1,2,3,5,7,4,6] => 2
[[[]],[[[],[]],[]]] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [1,2,3,5,4,6,7] => 2
[[[]],[[[[]]],[]]] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [1,2,3,6,7,4,5] => 2
[[[]],[[[],[],[]]]] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [1,2,3,5,7,4,6] => 2
[[[]],[[[],[[]]]]] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [1,2,3,5,6,4,7] => 2
[[[]],[[[[]],[]]]] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [1,2,3,6,4,5,7] => 2
[[[]],[[[[],[]]]]] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [1,2,3,6,4,7,5] => 2
[[[]],[[[[[]]]]]] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [1,2,3,7,4,6,5] => 2
[[[],[]],[],[],[],[]] => [[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [1,2,3,4,5,6,7] => 1
[[[[]]],[],[],[],[]] => [[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [1,3,2,4,5,6,7] => 2
[[[],[]],[],[],[[]]] => [[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [1,2,3,4,5,6,7] => 1
[[[[]]],[],[],[[]]] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [1,3,2,4,5,6,7] => 2
[[[],[]],[],[[]],[]] => [[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [1,2,3,4,5,6,7] => 1
[[[[]]],[],[[]],[]] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [1,3,2,4,5,6,7] => 2
[[[],[]],[],[[],[]]] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [1,2,3,4,5,6,7] => 1
[[[],[]],[],[[[]]]] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [1,2,3,4,5,7,6] => 2
[[[[]]],[],[[],[]]] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [1,3,2,4,5,6,7] => 2
[[[[]]],[],[[[]]]] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [1,3,2,4,5,7,6] => 2
[[[],[]],[[]],[],[]] => [[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [1,2,3,4,5,6,7] => 1
[[[[]]],[[]],[],[]] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [1,3,2,4,5,6,7] => 2
[[[],[]],[[]],[[]]] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [1,2,3,4,5,6,7] => 1
[[[[]]],[[]],[[]]] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [1,3,2,4,5,6,7] => 2
[[[],[]],[[],[]],[]] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [1,2,3,4,5,6,7] => 1
[[[],[]],[[[]]],[]] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [1,2,3,4,6,5,7] => 2
[[[[]]],[[],[]],[]] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [1,3,2,4,5,6,7] => 2
[[[[]]],[[[]]],[]] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [1,3,2,4,6,5,7] => 2
[[[],[]],[[],[],[]]] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [1,2,3,4,5,6,7] => 1
[[[],[]],[[],[[]]]] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [1,2,3,4,5,7,6] => 2
[[[],[]],[[[]],[]]] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [1,2,3,4,6,7,5] => 2
[[[],[]],[[[],[]]]] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [1,2,3,4,6,5,7] => 2
[[[],[]],[[[[]]]]] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [1,2,3,4,7,5,6] => 2
[[[[]]],[[],[],[]]] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [1,3,2,4,5,6,7] => 2
[[[[]]],[[],[[]]]] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [1,3,2,4,5,7,6] => 2
[[[[]]],[[[]],[]]] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [1,3,2,4,6,7,5] => 2
[[[[]]],[[[],[]]]] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [1,3,2,4,6,5,7] => 2
[[[[]]],[[[[]]]]] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [1,3,2,4,7,5,6] => 2
[[[],[],[]],[],[],[]] => [[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => 1
[[[],[[]]],[],[],[]] => [[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [1,2,4,3,5,6,7] => 2
[[[[]],[]],[],[],[]] => [[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [1,3,4,2,5,6,7] => 2
[[[[],[]]],[],[],[]] => [[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [1,3,2,4,5,6,7] => 2
[[[[[]]]],[],[],[]] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [1,4,2,3,5,6,7] => 2
[[[],[],[]],[],[[]]] => [[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => 1
[[[],[[]]],[],[[]]] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [1,2,4,3,5,6,7] => 2
[[[[]],[]],[],[[]]] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [1,3,4,2,5,6,7] => 2
[[[[],[]]],[],[[]]] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [1,3,2,4,5,6,7] => 2
[[[[[]]]],[],[[]]] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [1,4,2,3,5,6,7] => 2
[[[],[],[]],[[]],[]] => [[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => 1
[[[],[[]]],[[]],[]] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [1,2,4,3,5,6,7] => 2
[[[[]],[]],[[]],[]] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [1,3,4,2,5,6,7] => 2
[[[[],[]]],[[]],[]] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [1,3,2,4,5,6,7] => 2
[[[[[]]]],[[]],[]] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [1,4,2,3,5,6,7] => 2
[[[],[],[]],[[],[]]] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => 1
[[[],[],[]],[[[]]]] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => 2
[[[],[[]]],[[],[]]] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [1,2,4,3,5,6,7] => 2
[[[],[[]]],[[[]]]] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [1,2,4,3,5,7,6] => 2
[[[[]],[]],[[],[]]] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [1,3,4,2,5,6,7] => 2
[[[[]],[]],[[[]]]] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [1,3,4,2,5,7,6] => 2
[[[[],[]]],[[],[]]] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [1,3,2,4,5,6,7] => 2
[[[[],[]]],[[[]]]] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [1,3,2,4,5,7,6] => 2
[[[[[]]]],[[],[]]] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [1,4,2,3,5,6,7] => 2
[[[[[]]]],[[[]]]] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [1,4,2,3,5,7,6] => 2
[[[],[],[],[]],[],[]] => [[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => 1
[[[],[],[[]]],[],[]] => [[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [1,2,3,5,4,6,7] => 2
[[[],[[]],[]],[],[]] => [[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [1,2,4,5,3,6,7] => 2
[[[],[[],[]]],[],[]] => [[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [1,2,4,3,5,6,7] => 2
[[[],[[[]]]],[],[]] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [1,2,5,3,4,6,7] => 2
[[[[]],[],[]],[],[]] => [[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [1,3,4,5,2,6,7] => 2
[[[[]],[[]]],[],[]] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [1,3,5,2,4,6,7] => 2
[[[[],[]],[]],[],[]] => [[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [1,3,2,4,5,6,7] => 2
[[[[[]]],[]],[],[]] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [1,4,5,2,3,6,7] => 2
[[[[],[],[]]],[],[]] => [[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [1,3,5,2,4,6,7] => 2
[[[[],[[]]]],[],[]] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [1,3,4,2,5,6,7] => 2
[[[[[]],[]]],[],[]] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [1,4,2,3,5,6,7] => 2
[[[[[],[]]]],[],[]] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [1,4,2,5,3,6,7] => 2
[[[],[],[],[]],[[]]] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [1,2,3,4,5,6,7] => 1
[[[],[],[[]]],[[]]] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [1,2,3,5,4,6,7] => 2
[[[],[[]],[]],[[]]] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [1,2,4,5,3,6,7] => 2
[[[],[[],[]]],[[]]] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [1,2,4,3,5,6,7] => 2
[[[],[[[]]]],[[]]] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [1,2,5,3,4,6,7] => 2
[[[[]],[],[]],[[]]] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [1,3,4,5,2,6,7] => 2
[[[[]],[[]]],[[]]] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [1,3,5,2,4,6,7] => 2
[[[[],[]],[]],[[]]] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [1,3,2,4,5,6,7] => 2
[[[[[]]],[]],[[]]] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [1,4,5,2,3,6,7] => 2
[[[[],[],[]]],[[]]] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [1,3,5,2,4,6,7] => 2
[[[[],[[]]]],[[]]] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [1,3,4,2,5,6,7] => 2
[[[[[]],[]]],[[]]] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [1,4,2,3,5,6,7] => 2
[[[[[],[]]]],[[]]] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [1,4,2,5,3,6,7] => 2
[[[],[],[],[],[]],[]] => [[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => 1
[[[],[],[],[[]]],[]] => [[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [1,2,3,4,6,5,7] => 2
[[[],[],[[]],[]],[]] => [[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [1,2,3,5,6,4,7] => 2
[[[],[],[[],[]]],[]] => [[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [1,2,3,5,4,6,7] => 2
[[[],[],[[[]]]],[]] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [1,2,3,6,4,5,7] => 2
[[[],[[]],[],[]],[]] => [[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [1,2,4,5,6,3,7] => 2
[[[],[[]],[[]]],[]] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [1,2,4,6,3,5,7] => 2
[[[],[[],[]],[]],[]] => [[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [1,2,4,3,5,6,7] => 2
[[[],[[[]]],[]],[]] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [1,2,5,6,3,4,7] => 2
[[[],[[],[],[]]],[]] => [[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [1,2,4,6,3,5,7] => 2
[[[],[[],[[]]]],[]] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [1,2,4,5,3,6,7] => 2
[[[],[[[]],[]]],[]] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [1,2,5,3,4,6,7] => 2
[[[],[[[],[]]]],[]] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [1,2,5,3,6,4,7] => 2
[[[],[[[[]]]]],[]] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [1,2,6,3,5,4,7] => 2
[[[[]],[],[],[]],[]] => [[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [1,3,4,5,6,2,7] => 2
[[[[]],[],[[]]],[]] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [1,3,4,6,2,5,7] => 2
[[[[]],[[]],[]],[]] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [1,3,5,6,2,4,7] => 2
[[[[]],[[],[]]],[]] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [1,3,5,4,6,2,7] => 2
[[[[]],[[[]]]],[]] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [1,3,6,2,4,5,7] => 2
[[[[],[]],[],[]],[]] => [[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [1,3,2,4,5,6,7] => 2
[[[[[]]],[],[]],[]] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [1,4,5,6,2,3,7] => 2
[[[[],[]],[[]]],[]] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [1,3,2,4,6,5,7] => 2
[[[[[]]],[[]]],[]] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [1,4,6,2,3,5,7] => 2
[[[[],[],[]],[]],[]] => [[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [1,3,5,6,2,4,7] => 2
[[[[],[[]]],[]],[]] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [1,3,4,2,5,6,7] => 2
[[[[[]],[]],[]],[]] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [1,4,2,3,5,6,7] => 2
[[[[[],[]]],[]],[]] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [1,4,2,5,6,3,7] => 2
[[[[],[],[],[]]],[]] => [[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [1,3,5,2,4,6,7] => 2
[[[[],[],[[]]]],[]] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [1,3,6,2,4,5,7] => 2
[[[[],[[]],[]]],[]] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [1,3,4,6,2,5,7] => 2
[[[[],[[],[]]]],[]] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [1,3,6,2,5,4,7] => 3
[[[[],[[[]]]]],[]] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [1,3,5,2,6,4,7] => 2
[[[[[]],[],[]]],[]] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [1,4,6,2,3,5,7] => 2
[[[[[]],[[]]]],[]] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [1,4,5,2,3,6,7] => 2
[[[[[],[]],[]]],[]] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [1,4,6,2,5,3,7] => 3
[[[[[],[],[]]]],[]] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [1,4,3,6,2,5,7] => 2
[[[[[],[[]]]]],[]] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [1,4,3,5,2,6,7] => 2
[[[],[],[],[],[],[]]] => [.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 1
[[[],[],[],[],[[]]]] => [.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 2
[[[],[],[],[[]],[]]] => [.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [1,2,3,4,6,7,5] => 2
[[[],[],[],[[],[]]]] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [1,2,3,4,6,5,7] => 2
[[[],[],[],[[[]]]]] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 2
[[[],[],[[]],[],[]]] => [.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [1,2,3,5,6,7,4] => 2
[[[],[],[[]],[[]]]] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [1,2,3,5,7,4,6] => 2
[[[],[],[[],[]],[]]] => [.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [1,2,3,5,4,6,7] => 2
[[[],[],[[[]]],[]]] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [1,2,3,6,7,4,5] => 2
[[[],[],[[],[],[]]]] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [1,2,3,5,7,4,6] => 2
[[[],[],[[],[[]]]]] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [1,2,3,5,6,4,7] => 2
[[[],[],[[[]],[]]]] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => 2
[[[],[],[[[],[]]]]] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [1,2,3,6,4,7,5] => 2
[[[],[],[[[[]]]]]] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [1,2,3,7,4,6,5] => 2
[[[],[[]],[],[],[]]] => [.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [1,2,4,5,6,7,3] => 2
[[[],[[]],[],[[]]]] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [1,2,4,5,7,3,6] => 2
[[[],[[]],[[]],[]]] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [1,2,4,6,7,3,5] => 2
[[[],[[]],[[],[]]]] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [1,2,4,6,5,7,3] => 2
[[[],[[]],[[[]]]]] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [1,2,4,7,3,5,6] => 2
[[[],[[],[]],[],[]]] => [.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [1,2,4,3,5,6,7] => 2
[[[],[[[]]],[],[]]] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [1,2,5,6,7,3,4] => 2
[[[],[[],[]],[[]]]] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [1,2,4,3,5,7,6] => 2
[[[],[[[]]],[[]]]] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [1,2,5,7,3,4,6] => 2
[[[],[[],[],[]],[]]] => [.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [1,2,4,6,7,3,5] => 2
[[[],[[],[[]]],[]]] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [1,2,4,5,3,6,7] => 2
[[[],[[[]],[]],[]]] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [1,2,5,3,4,6,7] => 2
[[[],[[[],[]]],[]]] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [1,2,5,3,6,7,4] => 2
[[[],[[[[]]]],[]]] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [1,2,6,7,3,5,4] => 2
[[[],[[],[],[],[]]]] => [.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [1,2,4,6,3,5,7] => 2
[[[],[[],[],[[]]]]] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [1,2,4,7,3,5,6] => 2
[[[],[[],[[]],[]]]] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [1,2,4,5,7,3,6] => 2
[[[],[[],[[],[]]]]] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [1,2,4,7,3,6,5] => 3
[[[],[[],[[[]]]]]] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [1,2,4,6,3,7,5] => 2
[[[],[[[]],[],[]]]] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [1,2,5,7,3,4,6] => 2
[[[],[[[]],[[]]]]] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [1,2,5,6,3,4,7] => 2
[[[],[[[],[]],[]]]] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [1,2,5,7,3,6,4] => 3
[[[],[[[[]]],[]]]] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [1,2,6,3,5,7,4] => 2
[[[],[[[],[],[]]]]] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [1,2,5,4,7,3,6] => 2
[[[],[[[],[[]]]]]] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [1,2,5,4,6,3,7] => 2
[[[],[[[[]],[]]]]] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [1,2,6,3,5,4,7] => 2
[[[],[[[[],[]]]]]] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [1,2,6,3,7,4,5] => 2
[[[],[[[[[]]]]]]] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [1,2,7,3,6,4,5] => 2
[[[[]],[],[],[],[]]] => [.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [1,3,4,5,6,7,2] => 2
[[[[]],[],[],[[]]]] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [1,3,4,5,7,2,6] => 2
[[[[]],[],[[]],[]]] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [1,3,4,6,7,2,5] => 2
[[[[]],[],[[],[]]]] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [1,3,4,6,5,7,2] => 2
[[[[]],[],[[[]]]]] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [1,3,4,7,2,5,6] => 2
[[[[]],[[]],[],[]]] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [1,3,5,6,7,2,4] => 2
[[[[]],[[]],[[]]]] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [1,3,5,7,2,4,6] => 2
[[[[]],[[],[]],[]]] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [1,3,5,4,6,7,2] => 2
[[[[]],[[[]]],[]]] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [1,3,6,7,2,4,5] => 2
[[[[]],[[],[],[]]]] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [1,3,5,7,2,4,6] => 2
[[[[]],[[],[[]]]]] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [1,3,5,6,4,7,2] => 2
[[[[]],[[[]],[]]]] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [1,3,6,4,5,7,2] => 2
[[[[]],[[[],[]]]]] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [1,3,6,4,7,2,5] => 2
[[[[]],[[[[]]]]]] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [1,3,7,2,4,6,5] => 3
[[[[],[]],[],[],[]]] => [.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [1,3,2,4,5,6,7] => 2
[[[[[]]],[],[],[]]] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [1,4,5,6,7,2,3] => 2
[[[[],[]],[],[[]]]] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [1,3,2,4,5,7,6] => 2
[[[[[]]],[],[[]]]] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [1,4,5,7,2,3,6] => 2
[[[[],[]],[[]],[]]] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [1,3,2,4,6,7,5] => 2
[[[[[]]],[[]],[]]] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [1,4,6,7,2,3,5] => 2
[[[[],[]],[[],[]]]] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [1,3,2,4,6,5,7] => 2
[[[[],[]],[[[]]]]] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [1,3,2,4,7,5,6] => 2
[[[[[]]],[[[]]]]] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [1,4,7,2,3,5,6] => 2
[[[[],[],[]],[],[]]] => [.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [1,3,5,6,7,2,4] => 2
[[[[],[[]]],[],[]]] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [1,3,4,2,5,6,7] => 2
[[[[[]],[]],[],[]]] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [1,4,2,3,5,6,7] => 2
[[[[[],[]]],[],[]]] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [1,4,2,5,6,7,3] => 2
[[[[],[],[]],[[]]]] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [1,3,5,7,2,4,6] => 2
[[[[],[[]]],[[]]]] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [1,3,4,2,5,7,6] => 2
[[[[[]],[]],[[]]]] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [1,4,2,3,5,7,6] => 2
[[[[[],[]]],[[]]]] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [1,4,2,5,7,3,6] => 2
[[[[],[],[],[]],[]]] => [.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [1,3,5,2,4,6,7] => 2
[[[[],[],[[]]],[]]] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [1,3,6,7,2,4,5] => 2
[[[[],[[]],[]],[]]] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [1,3,4,6,7,2,5] => 2
[[[[],[[],[]]],[]]] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [1,3,6,7,2,5,4] => 3
[[[[],[[[]]]],[]]] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [1,3,5,2,6,7,4] => 2
[[[[[]],[],[]],[]]] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [1,4,6,7,2,3,5] => 2
[[[[[]],[[]]],[]]] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [1,4,5,2,3,6,7] => 2
[[[[[],[],[]]],[]]] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [1,4,3,6,7,2,5] => 2
[[[[[],[[]]]],[]]] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [1,4,3,5,2,6,7] => 2
[[[[],[],[],[],[]]]] => [.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [1,3,5,7,2,4,6] => 2
[[[[],[],[],[[]]]]] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [1,3,5,6,2,4,7] => 2
[[[[],[],[[]],[]]]] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [1,3,6,2,4,5,7] => 2
[[[[],[],[[],[]]]]] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [1,3,6,2,4,7,5] => 2
[[[[],[],[[[]]]]]] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [1,3,7,2,4,6,5] => 3
[[[[],[[]],[],[]]]] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [1,3,4,6,2,5,7] => 2
[[[[],[[]],[[]]]]] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [1,3,4,7,2,5,6] => 2
[[[[],[[],[]],[]]]] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [1,3,6,2,5,7,4] => 3
[[[[],[[[]]],[]]]] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [1,3,5,7,2,6,4] => 3
[[[[],[[],[],[]]]]] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [1,3,6,2,5,4,7] => 3
[[[[],[[],[[]]]]]] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [1,3,7,2,5,4,6] => 3
[[[[],[[[]],[]]]]] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [1,3,5,4,7,2,6] => 2
[[[[],[[[],[]]]]]] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [1,3,7,2,6,4,5] => 3
[[[[],[[[[]]]]]]] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [1,3,6,2,7,4,5] => 2
[[[[[]],[],[],[]]]] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [1,4,6,2,3,5,7] => 2
[[[[[]],[],[[]]]]] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [1,4,7,2,3,5,6] => 2
[[[[[]],[[]],[]]]] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [1,4,5,7,2,3,6] => 2
[[[[[]],[[[]]]]]] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [1,4,6,2,3,7,5] => 2
[[[[[],[]],[],[]]]] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [1,4,6,2,5,7,3] => 3
[[[[[],[],[]],[]]]] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [1,4,3,6,2,5,7] => 2
[[[[[],[[]]],[]]]] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [1,4,3,5,7,2,6] => 2
[[[[[],[],[[]]]]]] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [1,4,6,2,5,3,7] => 3
[[[[[],[[],[]]]]]] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [1,4,5,3,7,2,6] => 2
[[[[[],[[[]]]]]]] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [1,4,5,3,6,2,7] => 2
[[],[],[],[],[],[],[],[]] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[],[],[],[[]]] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[],[],[[]],[]] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[],[],[[],[]]] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[],[],[[[]]]] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => 2
[[],[],[],[],[[]],[],[]] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[],[[]],[[]]] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[],[[],[]],[]] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[],[[[]]],[]] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [1,2,3,4,5,7,6,8] => 2
[[],[],[],[],[[],[],[]]] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[],[[],[[]]]] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [1,2,3,4,5,6,8,7] => 2
[[],[],[],[],[[[],[]]]] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [1,2,3,4,5,7,6,8] => 2
[[],[],[],[],[[[[]]]]] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => 2
[[],[],[],[[]],[],[],[]] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[[]],[],[[]]] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[[]],[[]],[]] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[[]],[[],[]]] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[[]],[[[]]]] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => 2
[[],[],[],[[],[]],[],[]] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[[],[]],[[]]] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[[],[],[]],[]] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[[],[[]]],[]] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [1,2,3,4,5,7,6,8] => 2
[[],[],[],[[],[],[],[]]] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 1
[[],[],[],[[],[],[[]]]] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [1,2,3,4,5,6,8,7] => 2
[[],[],[],[[],[[],[]]]] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [1,2,3,4,5,7,6,8] => 2
[[],[],[],[[],[[[]]]]] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [1,2,3,4,5,8,6,7] => 2
[[],[],[[]],[],[],[],[]] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[[]],[],[],[[]]] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[[],[],[[]],[],[[]],[]] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[[]],[],[[],[]]] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[[],[],[[]],[],[[[]]]] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [1,2,3,4,5,6,8,7] => 2
[[],[],[[]],[[]],[],[]] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[[]],[[]],[[]]] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[[],[],[[]],[[],[]],[]] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[[]],[[],[],[]]] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[[],[],[[]],[[],[[]]]] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [1,2,3,4,5,6,8,7] => 2
[[],[],[[]],[[[],[]]]] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [1,2,3,4,5,7,6,8] => 2
[[],[],[[]],[[[[]]]]] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [1,2,3,4,5,8,6,7] => 2
[[],[],[[],[]],[],[],[]] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[[[]]],[],[],[]] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [1,2,3,5,4,6,7,8] => 2
[[],[],[[[]]],[],[[]]] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [1,2,3,5,4,6,7,8] => 2
[[],[],[[],[]],[[]],[]] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[[],[]],[[],[]]] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[[],[],[[],[]],[[[]]]] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [1,2,3,4,5,6,8,7] => 2
[[],[],[[[]]],[[],[]]] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [1,2,3,5,4,6,7,8] => 2
[[],[],[[],[],[]],[],[]] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[[[],[]]],[],[]] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [1,2,3,5,4,6,7,8] => 2
[[],[],[[[[]]]],[],[]] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [1,2,3,6,4,5,7,8] => 2
[[],[],[[],[],[]],[[]]] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [1,2,3,4,5,6,7,8] => 1
[[],[],[[],[],[],[]],[]] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => 1
[[],[],[[[],[]],[]],[]] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [1,2,3,5,4,6,7,8] => 2
[[],[],[[[[],[]]]],[]] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [1,2,3,6,4,7,5,8] => 2
[[],[],[[[[[]]]]],[]] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [1,2,3,7,4,6,5,8] => 2
[[],[],[[],[],[],[],[]]] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => 1
[[],[],[[],[],[],[[]]]] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [1,2,3,4,5,6,8,7] => 2
[[],[],[[],[],[[],[]]]] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [1,2,3,4,5,7,6,8] => 2
[[],[],[[],[],[[[]]]]] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [1,2,3,4,5,8,6,7] => 2
[[],[],[[[]],[],[],[]]] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [1,2,3,5,6,7,8,4] => 2
[[],[],[[[],[]],[],[]]] => [[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => [1,2,3,5,4,6,7,8] => 2
[[],[],[[[[[]],[]]]]] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,2,7,6,8,5,4,3] => [1,2,3,7,4,6,5,8] => 2
[[],[],[[[[[],[]]]]]] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [1,2,3,7,4,8,5,6] => 2
[[],[],[[[[[[]]]]]]] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [1,2,3,8,4,7,5,6] => 2
[[],[[]],[],[],[],[],[]] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[],[[]],[],[],[],[[]]] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[[],[[]],[],[],[[]],[]] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[[],[[]],[],[],[[],[]]] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[[],[[]],[],[],[[[]]]] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => 2
[[],[[]],[],[[]],[],[]] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 1
[[],[[]],[],[[]],[[]]] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[[],[[]],[],[[],[]],[]] => [[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,3,2,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[[],[[]],[],[[[]]],[]] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [1,2,3,4,5,7,6,8] => 2
[[],[[]],[],[[],[],[]]] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[[],[[]],[],[[],[[]]]] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [1,2,3,4,5,6,8,7] => 2
[[],[[]],[],[[[[]]]]] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => 2
[[],[[]],[[]],[],[],[]] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[],[[]],[[]],[[]],[]] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[[],[[]],[[]],[[],[]]] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[[],[[]],[[]],[[[]]]] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => 2
[[],[[]],[[],[]],[],[]] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 1
[[],[[]],[[],[]],[[]]] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => 1
[[],[[]],[[],[],[]],[]] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => 1
[[],[[]],[[],[[]]],[]] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [1,2,3,4,5,7,6,8] => 2
[[],[[]],[[],[],[],[]]] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 1
[[],[[]],[[],[],[[]]]] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [1,2,3,4,5,6,8,7] => 2
[[],[[]],[[],[[],[]]]] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [1,2,3,4,5,7,6,8] => 2
[[],[[]],[[],[[[]]]]] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [1,2,3,4,5,8,6,7] => 2
[[],[[],[]],[],[],[],[]] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[],[[],[]],[],[],[[]]] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[[],[[],[]],[],[[]],[]] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[[],[[],[]],[],[[],[]]] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[[],[[],[]],[],[[[]]]] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [1,2,3,4,5,6,8,7] => 2
[[],[[],[]],[[]],[[]]] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[[],[[],[]],[[],[]],[]] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[[],[[],[]],[[],[],[]]] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[[],[[],[]],[[],[[]]]] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [1,2,3,4,5,6,8,7] => 2
[[],[[],[]],[[[],[]]]] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [1,2,3,4,5,7,6,8] => 2
[[],[[],[]],[[[[]]]]] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [1,2,3,4,5,8,6,7] => 2
[[],[[],[],[]],[],[],[]] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[],[[],[[]]],[],[],[]] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [1,2,3,5,4,6,7,8] => 2
[[],[[],[],[]],[],[[]]] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[[],[[],[[]]],[],[[]]] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [1,2,3,5,4,6,7,8] => 2
[[],[[],[],[]],[[]],[]] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[[],[[],[[]]],[[]],[]] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [1,2,3,5,4,6,7,8] => 2
[[],[[],[],[]],[[],[]]] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[[],[[],[],[]],[[[]]]] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [1,2,3,4,5,6,8,7] => 2
[[],[[],[[]]],[[],[]]] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [1,2,3,5,4,6,7,8] => 2
[[],[[],[],[],[]],[],[]] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [1,2,3,4,5,6,7,8] => 1
[[],[[],[[],[]]],[],[]] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [1,2,3,5,4,6,7,8] => 2
[[],[[[[]]],[]],[],[]] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [1,2,5,6,3,4,7,8] => 2
[[],[[],[],[],[]],[[]]] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [1,2,3,4,5,6,7,8] => 1
[[],[[],[[[]]]],[[]]] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [1,2,3,6,4,5,7,8] => 2
[[],[[],[],[],[],[]],[]] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [1,2,3,4,5,6,7,8] => 1
[[],[[],[],[],[[]]],[]] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [1,2,3,4,5,7,6,8] => 2
[[],[[],[[],[]],[]],[]] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [1,2,3,5,4,6,7,8] => 2
[[],[[],[[[]],[]]],[]] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [1,2,3,6,4,5,7,8] => 2
[[],[[],[[[],[]]]],[]] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [1,2,3,6,4,7,5,8] => 2
[[],[[],[[[[]]]]],[]] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [1,2,3,7,4,6,5,8] => 2
[[],[[[[]],[[]]]],[]] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [1,2,5,6,3,4,7,8] => 2
[[],[[],[],[],[],[],[]]] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [1,2,3,4,5,6,7,8] => 1
[[],[[],[],[],[],[[]]]] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [1,2,3,4,5,6,8,7] => 2
[[],[[],[],[],[[],[]]]] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [1,2,3,4,5,7,6,8] => 2
[[],[[],[],[],[[[]]]]] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [1,2,3,4,5,8,6,7] => 2
[[],[[],[[]],[],[],[]]] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [1,2,3,5,6,7,8,4] => 2
[[],[[],[[],[]],[],[]]] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [1,2,3,5,4,6,7,8] => 2
[[],[[],[[[]],[]],[]]] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [1,2,3,6,4,5,7,8] => 2
[[],[[],[[[[],[]]]]]] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [1,2,3,7,4,8,5,6] => 2
[[],[[],[[[[[]]]]]]] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [1,2,3,8,4,7,5,6] => 2
[[[]],[],[],[],[],[],[]] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[[]],[],[],[],[],[[]]] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[[[]],[],[],[],[[]],[]] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[[[]],[],[],[],[[],[]]] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[[[]],[],[],[],[[[]]]] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => 2
[[[]],[],[],[[]],[],[]] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 1
[[[]],[],[],[[]],[[]]] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[[[]],[],[],[[],[]],[]] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [2,1,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[[[]],[],[],[[],[],[]]] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[[[]],[],[],[[[],[]]]] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [1,2,3,4,5,7,6,8] => 2
[[[]],[],[],[[[[]]]]] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => 2
[[[]],[],[[]],[],[],[]] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[[]],[],[[]],[],[[]]] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[[[]],[],[[]],[[],[]]] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[[[]],[],[[]],[[[]]]] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => 2
[[[]],[],[[],[]],[[]]] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => 1
[[[]],[],[[],[],[],[]]] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 1
[[[]],[[]],[],[],[],[]] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[[]],[[]],[],[],[[]]] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[[[]],[[]],[],[[],[]]] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[[[]],[[]],[],[[[]]]] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [1,2,3,4,5,6,8,7] => 2
[[[]],[[]],[[]],[],[]] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [1,2,3,4,5,6,7,8] => 1
[[[]],[[]],[[]],[[]]] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[[[]],[[]],[[],[]],[]] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [2,1,4,3,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[[[]],[[]],[[],[],[]]] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[[[]],[[]],[[],[[]]]] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [1,2,3,4,5,6,8,7] => 2
[[[]],[[]],[[[],[]]]] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [1,2,3,4,5,7,6,8] => 2
[[[]],[[]],[[[[]]]]] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [1,2,3,4,5,8,6,7] => 2
[[[]],[[],[]],[],[],[]] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[[]],[[[]]],[],[],[]] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [1,2,3,5,4,6,7,8] => 2
[[[]],[[],[]],[],[[]]] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[[[]],[[[]]],[],[[]]] => [[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => [1,2,3,5,4,6,7,8] => 2
[[[]],[[[]]],[[]],[]] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [1,2,3,5,4,6,7,8] => 2
[[[]],[[],[]],[[[]]]] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [1,2,3,4,5,6,8,7] => 2
[[[]],[[[],[]]],[],[]] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [1,2,3,5,4,6,7,8] => 2
[[[]],[[],[],[]],[[]]] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [1,2,3,4,5,6,7,8] => 1
[[[]],[[[],[]]],[[]]] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [1,2,3,5,4,6,7,8] => 2
[[[]],[[[[]]]],[[]]] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [1,2,3,6,4,5,7,8] => 2
[[[]],[[],[],[],[]],[]] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => 1
[[[]],[[[[],[]]]],[]] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [1,2,3,6,4,7,5,8] => 2
[[[]],[[[[[]]]]],[]] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [1,2,3,7,4,6,5,8] => 2
[[[]],[[],[],[],[],[]]] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => 1
[[[]],[[],[],[],[[]]]] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [1,2,3,4,5,6,8,7] => 2
[[[]],[[],[],[[],[]]]] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [1,2,3,4,5,7,6,8] => 2
[[[]],[[],[],[[[]]]]] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [1,2,3,4,5,8,6,7] => 2
[[[]],[[[]],[],[],[]]] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [1,2,3,5,6,7,8,4] => 2
[[[]],[[[],[]],[],[]]] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [1,2,3,5,4,6,7,8] => 2
[[[]],[[[[]],[]],[]]] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [1,2,3,6,4,5,7,8] => 2
[[[]],[[[[[]],[]]]]] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [1,2,3,7,4,6,5,8] => 2
[[[]],[[[[[],[]]]]]] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [1,2,3,7,4,8,5,6] => 2
[[[]],[[[[[[]]]]]]] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [1,2,3,8,4,7,5,6] => 2
[[[],[]],[],[],[],[],[]] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[[[]]],[],[],[],[],[]] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => 2
[[[],[]],[],[],[],[[]]] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[[[[]]],[],[],[],[[]]] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [1,3,2,4,5,6,7,8] => 2
[[[],[]],[],[],[[]],[]] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[[[[]]],[],[],[[]],[]] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8] => [1,3,2,4,5,6,7,8] => 2
[[[],[]],[],[],[[],[]]] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[[[[]]],[],[],[[],[]]] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [1,3,2,4,5,6,7,8] => 2
[[[],[]],[],[[]],[[]]] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[[[],[]],[],[[],[]],[]] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[[[[]]],[],[[[]]],[]] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [1,3,2,4,5,7,6,8] => 2
[[[],[]],[],[[],[],[]]] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[[[],[]],[],[[[],[]]]] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [1,2,3,4,5,7,6,8] => 2
[[[],[]],[],[[[[]]]]] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => 2
[[[[]]],[],[[],[],[]]] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [1,3,2,4,5,6,7,8] => 2
[[[[]]],[],[[[],[]]]] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [1,3,2,4,5,7,6,8] => 2
[[[[]]],[],[[[[]]]]] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [1,3,2,4,5,8,6,7] => 2
[[[],[]],[[]],[],[],[]] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[[[]]],[[]],[],[],[]] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [1,3,2,4,5,6,7,8] => 2
[[[],[]],[[]],[[]],[]] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[[[[]]],[[]],[[]],[]] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [1,3,2,4,5,6,7,8] => 2
[[[],[]],[[],[]],[],[]] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 1
[[[[]]],[[],[]],[],[]] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [1,3,2,4,5,6,7,8] => 2
[[[],[]],[[],[],[]],[]] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => 1
[[[[]]],[[],[],[]],[]] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [1,3,2,4,5,6,7,8] => 2
[[[[]]],[[],[[]]],[]] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [1,3,2,4,5,7,6,8] => 2
[[[],[]],[[],[],[],[]]] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 1
[[[],[]],[[],[[],[]]]] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [1,2,3,4,5,7,6,8] => 2
[[[[]]],[[],[],[],[]]] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [1,3,2,4,5,6,7,8] => 2
[[[[]]],[[],[[],[]]]] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [1,3,2,4,5,7,6,8] => 2
[[[[]]],[[],[[[]]]]] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [1,3,2,4,5,8,6,7] => 2
[[[],[],[]],[],[],[],[]] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[[[],[]]],[],[],[],[]] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [1,3,2,4,5,6,7,8] => 2
[[[[[]]]],[],[],[],[]] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [1,4,2,3,5,6,7,8] => 2
[[[],[],[]],[],[],[[]]] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[[[[],[]]],[],[],[[]]] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [3,4,2,1,5,6,8,7] => [1,3,2,4,5,6,7,8] => 2
[[[[[]]]],[],[],[[]]] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [1,4,2,3,5,6,7,8] => 2
[[[],[],[]],[],[[]],[]] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[[[[[]]]],[],[[]],[]] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [1,4,2,3,5,6,7,8] => 2
[[[],[],[]],[],[[],[]]] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[[[],[],[]],[],[[[]]]] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [1,2,3,4,5,6,8,7] => 2
[[[[[]]]],[],[[],[]]] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [1,4,2,3,5,6,7,8] => 2
[[[],[],[]],[[]],[],[]] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [1,2,3,4,5,6,7,8] => 1
[[[[[]]]],[[]],[],[]] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [1,4,2,3,5,6,7,8] => 2
[[[],[],[]],[[]],[[]]] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [1,2,3,4,5,6,7,8] => 1
[[[[],[]]],[[]],[[]]] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [1,3,2,4,5,6,7,8] => 2
[[[[[]]]],[[]],[[]]] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [1,4,2,3,5,6,7,8] => 2
[[[],[],[]],[[],[]],[]] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [1,2,3,4,5,6,7,8] => 1
[[[],[],[]],[[[]]],[]] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [1,2,3,4,5,7,6,8] => 2
[[[[[]]]],[[],[]],[]] => [[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [1,4,2,3,5,6,7,8] => 2
[[[[[]]]],[[[]]],[]] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [1,4,2,3,5,7,6,8] => 2
[[[],[],[]],[[],[],[]]] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [1,2,3,4,5,6,7,8] => 1
[[[],[],[]],[[],[[]]]] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [1,2,3,4,5,6,8,7] => 2
[[[],[],[]],[[[],[]]]] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [1,2,3,4,5,7,6,8] => 2
[[[],[],[]],[[[[]]]]] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [1,2,3,4,5,8,6,7] => 2
[[[[],[]]],[[],[],[]]] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [1,3,2,4,5,6,7,8] => 2
[[[[],[]]],[[[],[]]]] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [1,3,2,4,5,7,6,8] => 2
[[[[],[]]],[[[[]]]]] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [1,3,2,4,5,8,6,7] => 2
[[[[[]]]],[[],[],[]]] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [1,4,2,3,5,6,7,8] => 2
[[[[[]]]],[[[],[]]]] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [1,4,2,3,5,7,6,8] => 2
[[[[[]]]],[[[[]]]]] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [1,4,2,3,5,8,6,7] => 2
[[[],[],[],[]],[],[],[]] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [1,2,3,4,5,6,7,8] => 1
[[[],[],[[]]],[],[],[]] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [1,2,3,5,4,6,7,8] => 2
[[[[],[]],[]],[],[],[]] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [1,3,2,4,5,6,7,8] => 2
[[[[[]],[]]],[],[],[]] => [[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [1,4,2,3,5,6,7,8] => 2
[[[[[],[]]]],[],[],[]] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [1,4,2,5,3,6,7,8] => 2
[[[[[[]]]]],[],[],[]] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [1,5,2,4,3,6,7,8] => 2
[[[],[],[],[]],[],[[]]] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [1,2,3,4,5,6,7,8] => 1
[[[],[],[[]]],[],[[]]] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [1,2,3,5,4,6,7,8] => 2
[[[[[]],[]]],[],[[]]] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [1,4,2,3,5,6,7,8] => 2
[[[[[],[]]]],[],[[]]] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [1,4,2,5,3,6,7,8] => 2
[[[[[[]]]]],[],[[]]] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [1,5,2,4,3,6,7,8] => 2
[[[],[],[],[]],[[]],[]] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [1,2,3,4,5,6,7,8] => 1
[[[],[],[[]]],[[]],[]] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [1,2,3,5,4,6,7,8] => 2
[[[[],[]],[]],[[]],[]] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [1,3,2,4,5,6,7,8] => 2
[[[[[],[]]]],[[]],[]] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [1,4,2,5,3,6,7,8] => 2
[[[[[[]]]]],[[]],[]] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [1,5,2,4,3,6,7,8] => 2
[[[],[],[],[]],[[],[]]] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [1,2,3,4,5,6,7,8] => 1
[[[],[],[],[]],[[[]]]] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [1,2,3,4,5,6,8,7] => 2
[[[[],[]],[]],[[],[]]] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [1,3,2,4,5,6,7,8] => 2
[[[[[[]]]]],[[],[]]] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [1,5,2,4,3,6,7,8] => 2
[[[],[],[],[],[]],[],[]] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [1,2,3,4,5,6,7,8] => 1
[[[],[],[[],[]]],[],[]] => [[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [1,2,3,5,4,6,7,8] => 2
[[[],[],[[[]]]],[],[]] => [[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [2,3,6,5,4,1,7,8] => [1,2,3,6,4,5,7,8] => 2
[[[[],[]],[],[]],[],[]] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [1,3,2,4,5,6,7,8] => 2
[[[[[]],[]],[]],[],[]] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [1,4,2,3,5,6,7,8] => 2
[[[[[[]],[]]]],[],[]] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [1,5,2,4,3,6,7,8] => 2
[[[[[[],[]]]]],[],[]] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [1,5,2,6,3,4,7,8] => 2
[[[[[[[]]]]]],[],[]] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [1,6,2,5,3,4,7,8] => 2
[[[],[],[],[],[]],[[]]] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [1,2,3,4,5,6,7,8] => 1
[[[],[],[[],[]]],[[]]] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [1,2,3,5,4,6,7,8] => 2
[[[],[],[[[]]]],[[]]] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [1,2,3,6,4,5,7,8] => 2
[[[],[[[]]],[]],[[]]] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [1,2,5,6,3,4,7,8] => 2
[[[[],[]],[],[]],[[]]] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [1,3,2,4,5,6,7,8] => 2
[[[[[]],[]],[]],[[]]] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [1,4,2,3,5,6,7,8] => 2
[[[[[[]],[]]]],[[]]] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [1,5,2,4,3,6,7,8] => 2
[[[[[[],[]]]]],[[]]] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [1,5,2,6,3,4,7,8] => 2
[[[[[[[]]]]]],[[]]] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [1,6,2,5,3,4,7,8] => 2
[[[],[],[],[],[],[]],[]] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [1,2,3,4,5,6,7,8] => 1
[[[],[],[],[],[[]]],[]] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [1,2,3,4,5,7,6,8] => 2
[[[],[],[[],[]],[]],[]] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [1,2,3,5,4,6,7,8] => 2
[[[],[],[[[]],[]]],[]] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [1,2,3,6,4,5,7,8] => 2
[[[],[],[[[],[]]]],[]] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [1,2,3,6,4,7,5,8] => 2
[[[],[],[[[[]]]]],[]] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [1,2,3,7,4,6,5,8] => 2
[[[],[[[]],[[]]]],[]] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [1,2,5,6,3,4,7,8] => 2
[[[[],[]],[],[],[]],[]] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [1,3,2,4,5,6,7,8] => 2
[[[[[]]],[],[],[]],[]] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [1,4,5,6,7,2,3,8] => 2
[[[[],[]],[],[[]]],[]] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [1,3,2,4,5,7,6,8] => 2
[[[[[]],[]],[[]]],[]] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [1,4,2,3,5,7,6,8] => 2
[[[[[[]],[]]],[]],[]] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [1,5,2,4,3,6,7,8] => 2
[[[[[[[]]],[]]]],[]] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [1,6,2,5,3,4,7,8] => 2
[[[[[[],[],[]]]]],[]] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [1,5,3,7,2,6,4,8] => 3
[[[[[[[]],[]]]]],[]] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [1,6,2,5,3,7,4,8] => 2
[[[[[[[],[]]]]]],[]] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [1,6,2,7,3,5,4,8] => 2
[[[[[[[[]]]]]]],[]] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [1,7,2,6,3,5,4,8] => 2
[[[],[],[],[],[],[],[]]] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8] => 1
[[[],[],[],[],[],[[]]]] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [1,2,3,4,5,6,8,7] => 2
[[[],[],[],[],[[],[]]]] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [1,2,3,4,5,7,6,8] => 2
[[[],[],[],[],[[[]]]]] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [1,2,3,4,5,8,6,7] => 2
[[[],[],[[]],[],[],[]]] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [1,2,3,5,6,7,8,4] => 2
[[[],[],[[],[]],[],[]]] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [1,2,3,5,4,6,7,8] => 2
[[[],[],[[[[[]]]]]]] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [1,2,3,8,4,7,5,6] => 2
[[[],[[[]],[[]]],[]]] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [1,2,5,6,3,4,7,8] => 2
[[[[],[]],[],[],[],[]]] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [1,3,2,4,5,6,7,8] => 2
[[[[],[]],[],[[],[]]]] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [1,3,2,4,5,7,6,8] => 2
[[[[],[]],[],[[[]]]]] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [1,3,2,4,5,8,6,7] => 2
[[[[[]],[]],[],[],[]]] => [.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [1,4,2,3,5,6,7,8] => 2
[[[[[]],[]],[[[]]]]] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [4,3,5,2,8,7,6,1] => [1,4,2,3,5,8,6,7] => 2
[[[[[[]],[]]],[],[]]] => [.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [1,5,2,4,3,6,7,8] => 2
[[[[[[[]]],[]]],[]]] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [1,6,2,5,3,4,7,8] => 2
[[[[],[],[],[],[[]]]]] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [1,3,5,8,2,4,6,7] => 2
[[[[[[[[]]],[]]]]]] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [1,7,2,6,3,5,4,8] => 2
[[[[[[[[]],[]]]]]]] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [1,7,2,6,3,8,4,5] => 2
[[[[[[[[],[]]]]]]]] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [1,7,2,8,3,6,4,5] => 2
[[[[[[[[[]]]]]]]]] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [1,8,2,7,3,6,4,5] => 2
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
4,1 8,6 16,26 32,98,2
F2=q
F3=2 q
F4=4 q+q2
F5=8 q+6 q2
F6=16 q+26 q2
F7=32 q+98 q2+2 q3
Description
The number of parts of the shifted shape of a permutation.
The diagram of a strict partition λ1<λ2<⋯<λℓ of n is a tableau with ℓ rows, the i-th row being indented by i cells. A shifted standard Young tableau is a filling of such a diagram, where entries in rows and columns are strictly increasing.
The shifted Robinson-Schensted algorithm [1] associates to a permutation a pair (P,Q) of standard shifted Young tableaux of the same shape, where off-diagonal entries in Q may be circled.
This statistic records the number of parts of the shifted shape.
The diagram of a strict partition λ1<λ2<⋯<λℓ of n is a tableau with ℓ rows, the i-th row being indented by i cells. A shifted standard Young tableau is a filling of such a diagram, where entries in rows and columns are strictly increasing.
The shifted Robinson-Schensted algorithm [1] associates to a permutation a pair (P,Q) of standard shifted Young tableaux of the same shape, where off-diagonal entries in Q may be circled.
This statistic records the number of parts of the shifted shape.
Map
to binary tree: left brother = left child
Description
Return a binary tree of size n−1 (where n is the size of t, and where t is an ordered tree) by the following recursive rule:
- if x is the left brother of y in t, then x becomes the left child of y;
- if x is the last child of y in t, then x becomes the right child of y,
and removing the root of t.
- if x is the left brother of y in t, then x becomes the left child of y;
- if x is the last child of y in t, then x becomes the right child of y,
and removing the root of t.
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!