Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00236: Permutations —Clarke-Steingrimsson-Zeng inverse⟶ Permutations
Mp00175: Permutations —inverse Foata bijection⟶ Permutations
Mp00114: Permutations —connectivity set⟶ Binary words
Mp00236: Permutations —Clarke-Steingrimsson-Zeng inverse⟶ Permutations
Mp00175: Permutations —inverse Foata bijection⟶ Permutations
Mp00114: Permutations —connectivity set⟶ Binary words
Images
[.,.] => [1] => [1] => [1] =>
[.,[.,.]] => [2,1] => [2,1] => [2,1] => 0
[[.,.],.] => [1,2] => [1,2] => [1,2] => 1
[.,[.,[.,.]]] => [3,2,1] => [2,3,1] => [2,3,1] => 00
[.,[[.,.],.]] => [2,3,1] => [3,2,1] => [3,2,1] => 00
[[.,.],[.,.]] => [1,3,2] => [1,3,2] => [3,1,2] => 00
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => [2,1,3] => 01
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [1,2,3] => 11
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [3,2,4,1] => [3,2,4,1] => 000
[.,[.,[[.,.],.]]] => [3,4,2,1] => [4,2,3,1] => [2,4,3,1] => 000
[.,[[.,.],[.,.]]] => [2,4,3,1] => [3,4,2,1] => [3,4,2,1] => 000
[.,[[.,[.,.]],.]] => [3,2,4,1] => [2,4,3,1] => [4,2,3,1] => 000
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,3,2,1] => [4,3,2,1] => 000
[[.,.],[.,[.,.]]] => [1,4,3,2] => [1,3,4,2] => [3,4,1,2] => 000
[[.,.],[[.,.],.]] => [1,3,4,2] => [1,4,3,2] => [4,3,1,2] => 000
[[.,[.,.]],[.,.]] => [2,1,4,3] => [2,1,4,3] => [2,4,1,3] => 000
[[[.,.],.],[.,.]] => [1,2,4,3] => [1,2,4,3] => [4,1,2,3] => 000
[[.,[.,[.,.]]],.] => [3,2,1,4] => [2,3,1,4] => [2,3,1,4] => 001
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,2,1,4] => [3,2,1,4] => 001
[[[.,.],[.,.]],.] => [1,3,2,4] => [1,3,2,4] => [3,1,2,4] => 001
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => 011
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 111
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [3,4,2,5,1] => [3,4,2,5,1] => 0000
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [3,5,2,4,1] => [5,3,2,4,1] => 0000
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [4,2,5,3,1] => [2,4,5,3,1] => 0000
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [5,3,2,4,1] => [3,2,5,4,1] => 0000
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [5,2,4,3,1] => [5,2,4,3,1] => 0000
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [4,3,5,2,1] => [4,3,5,2,1] => 0000
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [5,3,4,2,1] => [3,5,4,2,1] => 0000
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [2,4,5,3,1] => [4,5,2,3,1] => 0000
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [4,5,3,2,1] => [4,5,3,2,1] => 0000
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [3,2,5,4,1] => [3,5,2,4,1] => 0000
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [5,4,2,3,1] => [2,5,4,3,1] => 0000
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [3,5,4,2,1] => [5,3,4,2,1] => 0000
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [2,5,4,3,1] => [5,4,2,3,1] => 0000
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [5,4,3,2,1] => [5,4,3,2,1] => 0000
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [1,4,3,5,2] => [4,3,5,1,2] => 0000
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [1,5,3,4,2] => [3,5,4,1,2] => 0000
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [1,4,5,3,2] => [4,5,3,1,2] => 0000
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [1,3,5,4,2] => [5,3,4,1,2] => 0000
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [1,5,4,3,2] => [5,4,3,1,2] => 0000
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [2,1,4,5,3] => [2,4,5,1,3] => 0000
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [2,1,5,4,3] => [5,2,4,1,3] => 0000
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [1,2,4,5,3] => [4,5,1,2,3] => 0000
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [1,2,5,4,3] => [5,4,1,2,3] => 0000
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [2,3,1,5,4] => [2,3,5,1,4] => 0000
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [3,2,1,5,4] => [3,2,5,1,4] => 0000
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [1,3,2,5,4] => [3,5,1,2,4] => 0000
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [2,1,3,5,4] => [2,5,1,3,4] => 0000
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [1,2,3,5,4] => [5,1,2,3,4] => 0000
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [3,2,4,1,5] => [3,2,4,1,5] => 0001
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [4,2,3,1,5] => [2,4,3,1,5] => 0001
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [3,4,2,1,5] => [3,4,2,1,5] => 0001
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [2,4,3,1,5] => [4,2,3,1,5] => 0001
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,3,2,1,5] => [4,3,2,1,5] => 0001
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [1,3,4,2,5] => [3,4,1,2,5] => 0001
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [1,4,3,2,5] => [4,3,1,2,5] => 0001
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [2,1,4,3,5] => [2,4,1,3,5] => 0001
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [1,2,4,3,5] => [4,1,2,3,5] => 0001
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [2,3,1,4,5] => [2,3,1,4,5] => 0011
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => 0011
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [1,3,2,4,5] => [3,1,2,4,5] => 0011
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => 0111
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1111
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [4,3,5,2,6,1] => [4,3,5,2,6,1] => 00000
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [4,3,6,2,5,1] => [4,6,3,2,5,1] => 00000
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [5,3,6,2,4,1] => [3,5,2,6,4,1] => 00000
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [6,3,4,2,5,1] => [3,4,2,6,5,1] => 00000
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [6,3,5,2,4,1] => [6,3,2,5,4,1] => 00000
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [4,5,2,6,3,1] => [4,2,5,6,3,1] => 00000
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [4,6,2,5,3,1] => [4,6,2,5,3,1] => 00000
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [5,3,2,6,4,1] => [3,2,5,6,4,1] => 00000
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [5,2,6,4,3,1] => [5,6,2,4,3,1] => 00000
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [3,6,4,2,5,1] => [3,6,4,2,5,1] => 00000
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [3,6,2,5,4,1] => [3,6,5,2,4,1] => 00000
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [6,4,2,5,3,1] => [2,4,6,5,3,1] => 00000
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [6,3,2,5,4,1] => [3,6,2,5,4,1] => 00000
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [6,2,5,4,3,1] => [6,5,2,4,3,1] => 00000
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [4,5,3,6,2,1] => [4,5,3,6,2,1] => 00000
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [4,6,3,5,2,1] => [6,4,3,5,2,1] => 00000
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [5,3,6,4,2,1] => [3,5,6,4,2,1] => 00000
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [6,4,3,5,2,1] => [4,3,6,5,2,1] => 00000
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [6,3,5,4,2,1] => [6,3,5,4,2,1] => 00000
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [2,5,4,6,3,1] => [5,4,6,2,3,1] => 00000
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [2,6,4,5,3,1] => [4,6,5,2,3,1] => 00000
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [5,4,6,3,2,1] => [5,4,6,3,2,1] => 00000
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [6,4,5,3,2,1] => [4,6,5,3,2,1] => 00000
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [3,2,5,6,4,1] => [3,5,6,2,4,1] => 00000
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [5,6,4,2,3,1] => [5,2,6,4,3,1] => 00000
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [3,5,6,4,2,1] => [5,6,3,4,2,1] => 00000
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [2,5,6,4,3,1] => [5,6,4,2,3,1] => 00000
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [5,6,4,3,2,1] => [5,6,4,3,2,1] => 00000
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [3,4,2,6,5,1] => [3,4,6,2,5,1] => 00000
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [3,6,5,2,4,1] => [6,5,3,2,4,1] => 00000
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [4,2,6,5,3,1] => [6,2,4,5,3,1] => 00000
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [6,5,3,2,4,1] => [3,2,6,5,4,1] => 00000
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [6,5,2,4,3,1] => [6,2,5,4,3,1] => 00000
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [4,3,6,5,2,1] => [4,6,3,5,2,1] => 00000
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [6,5,3,4,2,1] => [3,6,5,4,2,1] => 00000
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [2,4,6,5,3,1] => [6,4,5,2,3,1] => 00000
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [4,6,5,3,2,1] => [6,4,5,3,2,1] => 00000
>>> Load all 1328 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [3,2,6,5,4,1] => [6,3,5,2,4,1] => 00000
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [6,5,4,2,3,1] => [2,6,5,4,3,1] => 00000
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [3,6,5,4,2,1] => [6,5,3,4,2,1] => 00000
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [2,6,5,4,3,1] => [6,5,4,2,3,1] => 00000
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 00000
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [1,4,5,3,6,2] => [4,5,3,6,1,2] => 00000
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [1,4,6,3,5,2] => [6,4,3,5,1,2] => 00000
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [1,5,3,6,4,2] => [3,5,6,4,1,2] => 00000
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [1,6,4,3,5,2] => [4,3,6,5,1,2] => 00000
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [1,6,3,5,4,2] => [6,3,5,4,1,2] => 00000
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [1,5,4,6,3,2] => [5,4,6,3,1,2] => 00000
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [1,6,4,5,3,2] => [4,6,5,3,1,2] => 00000
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [1,3,5,6,4,2] => [5,6,3,4,1,2] => 00000
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [1,5,6,4,3,2] => [5,6,4,3,1,2] => 00000
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [1,4,3,6,5,2] => [4,6,3,5,1,2] => 00000
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [1,6,5,3,4,2] => [3,6,5,4,1,2] => 00000
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [1,4,6,5,3,2] => [6,4,5,3,1,2] => 00000
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [1,3,6,5,4,2] => [6,5,3,4,1,2] => 00000
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [1,6,5,4,3,2] => [6,5,4,3,1,2] => 00000
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [2,1,5,4,6,3] => [5,2,4,6,1,3] => 00000
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [2,1,6,4,5,3] => [2,6,4,5,1,3] => 00000
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [2,1,5,6,4,3] => [5,6,2,4,1,3] => 00000
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [2,1,4,6,5,3] => [6,2,4,5,1,3] => 00000
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [2,1,6,5,4,3] => [6,5,2,4,1,3] => 00000
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [1,2,5,4,6,3] => [5,4,6,1,2,3] => 00000
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [1,2,6,4,5,3] => [4,6,5,1,2,3] => 00000
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [1,2,5,6,4,3] => [5,6,4,1,2,3] => 00000
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [1,2,4,6,5,3] => [6,4,5,1,2,3] => 00000
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [1,2,6,5,4,3] => [6,5,4,1,2,3] => 00000
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => [2,3,5,6,1,4] => 00000
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [2,3,1,6,5,4] => [6,2,3,5,1,4] => 00000
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [3,2,1,5,6,4] => [3,2,5,6,1,4] => 00000
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [3,2,1,6,5,4] => [3,6,2,5,1,4] => 00000
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [1,3,2,5,6,4] => [3,5,6,1,2,4] => 00000
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [1,3,2,6,5,4] => [6,3,5,1,2,4] => 00000
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [2,1,3,5,6,4] => [2,5,6,1,3,4] => 00000
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [2,1,3,6,5,4] => [6,2,5,1,3,4] => 00000
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [1,2,3,5,6,4] => [5,6,1,2,3,4] => 00000
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => [6,5,1,2,3,4] => 00000
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [3,2,4,1,6,5] => [3,2,4,6,1,5] => 00000
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [4,2,3,1,6,5] => [2,4,3,6,1,5] => 00000
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [3,4,2,1,6,5] => [3,4,2,6,1,5] => 00000
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [2,4,3,1,6,5] => [4,2,3,6,1,5] => 00000
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [4,3,2,1,6,5] => [4,3,2,6,1,5] => 00000
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [1,3,4,2,6,5] => [3,4,6,1,2,5] => 00000
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [1,4,3,2,6,5] => [4,3,6,1,2,5] => 00000
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => [2,4,6,1,3,5] => 00000
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [4,6,1,2,3,5] => 00000
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [2,3,1,4,6,5] => [2,3,6,1,4,5] => 00000
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [3,2,1,4,6,5] => [3,2,6,1,4,5] => 00000
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [3,6,1,2,4,5] => 00000
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => [2,6,1,3,4,5] => 00000
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => 00000
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [3,4,2,5,1,6] => [3,4,2,5,1,6] => 00001
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [3,5,2,4,1,6] => [5,3,2,4,1,6] => 00001
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [4,2,5,3,1,6] => [2,4,5,3,1,6] => 00001
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [5,3,2,4,1,6] => [3,2,5,4,1,6] => 00001
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [5,2,4,3,1,6] => [5,2,4,3,1,6] => 00001
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [4,3,5,2,1,6] => [4,3,5,2,1,6] => 00001
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [5,3,4,2,1,6] => [3,5,4,2,1,6] => 00001
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [2,4,5,3,1,6] => [4,5,2,3,1,6] => 00001
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [4,5,3,2,1,6] => [4,5,3,2,1,6] => 00001
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [3,2,5,4,1,6] => [3,5,2,4,1,6] => 00001
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [5,4,2,3,1,6] => [2,5,4,3,1,6] => 00001
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [3,5,4,2,1,6] => [5,3,4,2,1,6] => 00001
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [2,5,4,3,1,6] => [5,4,2,3,1,6] => 00001
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => 00001
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [1,4,3,5,2,6] => [4,3,5,1,2,6] => 00001
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [1,5,3,4,2,6] => [3,5,4,1,2,6] => 00001
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [1,4,5,3,2,6] => [4,5,3,1,2,6] => 00001
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [1,3,5,4,2,6] => [5,3,4,1,2,6] => 00001
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [1,5,4,3,2,6] => [5,4,3,1,2,6] => 00001
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [2,1,4,5,3,6] => [2,4,5,1,3,6] => 00001
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [2,1,5,4,3,6] => [5,2,4,1,3,6] => 00001
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [1,2,4,5,3,6] => [4,5,1,2,3,6] => 00001
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => [5,4,1,2,3,6] => 00001
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [2,3,1,5,4,6] => [2,3,5,1,4,6] => 00001
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [3,2,1,5,4,6] => [3,2,5,1,4,6] => 00001
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [3,5,1,2,4,6] => 00001
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => [2,5,1,3,4,6] => 00001
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => 00001
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [3,2,4,1,5,6] => [3,2,4,1,5,6] => 00011
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [4,2,3,1,5,6] => [2,4,3,1,5,6] => 00011
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [3,4,2,1,5,6] => [3,4,2,1,5,6] => 00011
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [2,4,3,1,5,6] => [4,2,3,1,5,6] => 00011
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => 00011
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [1,3,4,2,5,6] => [3,4,1,2,5,6] => 00011
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => [4,3,1,2,5,6] => 00011
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => [2,4,1,3,5,6] => 00011
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => 00011
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => 00111
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => 00111
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => 00111
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => 01111
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 11111
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [4,5,3,6,2,7,1] => [4,5,3,6,2,7,1] => 000000
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [4,5,3,7,2,6,1] => [4,5,7,3,2,6,1] => 000000
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [4,6,3,7,2,5,1] => [6,4,7,3,2,5,1] => 000000
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [4,7,3,5,2,6,1] => [4,3,7,5,2,6,1] => 000000
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [4,7,3,6,2,5,1] => [4,7,6,3,2,5,1] => 000000
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [5,3,6,2,7,4,1] => [3,5,2,6,7,4,1] => 000000
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [5,3,7,2,6,4,1] => [3,5,7,2,6,4,1] => 000000
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [6,3,7,4,2,5,1] => [6,3,4,2,7,5,1] => 000000
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [6,3,7,2,5,4,1] => [6,3,7,2,5,4,1] => 000000
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [7,4,3,5,2,6,1] => [4,3,5,2,7,6,1] => 000000
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [7,4,3,6,2,5,1] => [4,7,3,2,6,5,1] => 000000
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [7,3,5,2,6,4,1] => [3,2,7,5,6,4,1] => 000000
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [7,3,6,4,2,5,1] => [3,7,4,2,6,5,1] => 000000
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [7,3,6,2,5,4,1] => [3,7,6,2,5,4,1] => 000000
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [5,4,6,2,7,3,1] => [5,4,2,6,7,3,1] => 000000
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [5,4,7,2,6,3,1] => [5,4,7,2,6,3,1] => 000000
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [6,4,7,2,5,3,1] => [4,2,6,7,5,3,1] => 000000
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [7,4,5,2,6,3,1] => [4,2,5,7,6,3,1] => 000000
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [7,4,6,2,5,3,1] => [4,7,2,6,5,3,1] => 000000
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [5,6,3,2,7,4,1] => [5,3,2,6,7,4,1] => 000000
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [5,7,3,2,6,4,1] => [5,3,7,2,6,4,1] => 000000
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [5,6,2,7,4,3,1] => [2,5,6,7,4,3,1] => 000000
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [5,7,2,6,4,3,1] => [7,2,5,6,4,3,1] => 000000
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [3,6,4,2,7,5,1] => [3,6,4,7,2,5,1] => 000000
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [3,6,2,7,5,4,1] => [3,6,7,5,2,4,1] => 000000
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [6,4,2,7,5,3,1] => [2,4,6,7,5,3,1] => 000000
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [6,3,2,7,5,4,1] => [3,6,7,2,5,4,1] => 000000
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [6,2,7,5,4,3,1] => [6,7,5,2,4,3,1] => 000000
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [4,3,7,5,2,6,1] => [7,4,3,5,2,6,1] => 000000
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [4,3,7,2,6,5,1] => [7,4,3,6,2,5,1] => 000000
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [7,5,3,6,2,4,1] => [3,5,2,7,6,4,1] => 000000
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [7,3,4,2,6,5,1] => [3,4,7,2,6,5,1] => 000000
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [7,3,6,5,2,4,1] => [7,6,3,2,5,4,1] => 000000
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [4,7,5,2,6,3,1] => [4,2,7,5,6,3,1] => 000000
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [4,7,2,6,5,3,1] => [7,4,6,2,5,3,1] => 000000
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [7,5,3,2,6,4,1] => [3,2,5,7,6,4,1] => 000000
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [7,5,2,6,4,3,1] => [2,7,5,6,4,3,1] => 000000
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [3,7,4,2,6,5,1] => [3,4,7,6,2,5,1] => 000000
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [3,7,2,6,5,4,1] => [7,3,6,5,2,4,1] => 000000
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [7,4,2,6,5,3,1] => [7,2,4,6,5,3,1] => 000000
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [7,3,2,6,5,4,1] => [7,3,6,2,5,4,1] => 000000
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [7,2,6,5,4,3,1] => [7,6,5,2,4,3,1] => 000000
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [5,4,6,3,7,2,1] => [5,4,6,3,7,2,1] => 000000
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [5,4,7,3,6,2,1] => [5,7,4,3,6,2,1] => 000000
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [6,4,7,3,5,2,1] => [4,6,3,7,5,2,1] => 000000
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [7,4,5,3,6,2,1] => [4,5,3,7,6,2,1] => 000000
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [7,4,6,3,5,2,1] => [7,4,3,6,5,2,1] => 000000
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,6,3,7,4,2,1] => [5,3,6,7,4,2,1] => 000000
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [5,7,3,6,4,2,1] => [5,7,3,6,4,2,1] => 000000
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [6,4,3,7,5,2,1] => [4,3,6,7,5,2,1] => 000000
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [6,3,7,5,4,2,1] => [6,7,3,5,4,2,1] => 000000
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [4,7,5,3,6,2,1] => [4,7,5,3,6,2,1] => 000000
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [4,7,3,6,5,2,1] => [4,7,6,3,5,2,1] => 000000
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [7,5,3,6,4,2,1] => [3,5,7,6,4,2,1] => 000000
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [7,4,3,6,5,2,1] => [4,7,3,6,5,2,1] => 000000
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [7,3,6,5,4,2,1] => [7,6,3,5,4,2,1] => 000000
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [2,5,6,4,7,3,1] => [5,6,4,7,2,3,1] => 000000
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [2,5,7,4,6,3,1] => [7,5,4,6,2,3,1] => 000000
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [2,6,4,7,5,3,1] => [4,6,7,5,2,3,1] => 000000
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [2,7,5,4,6,3,1] => [5,4,7,6,2,3,1] => 000000
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [2,7,4,6,5,3,1] => [7,4,6,5,2,3,1] => 000000
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [5,6,4,7,3,2,1] => [5,6,4,7,3,2,1] => 000000
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [5,7,4,6,3,2,1] => [7,5,4,6,3,2,1] => 000000
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [6,4,7,5,3,2,1] => [4,6,7,5,3,2,1] => 000000
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [7,5,4,6,3,2,1] => [5,4,7,6,3,2,1] => 000000
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [7,4,6,5,3,2,1] => [7,4,6,5,3,2,1] => 000000
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [3,2,6,5,7,4,1] => [6,3,5,7,2,4,1] => 000000
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [3,2,7,5,6,4,1] => [3,7,5,6,2,4,1] => 000000
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [6,5,7,4,2,3,1] => [6,5,2,7,4,3,1] => 000000
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [7,5,6,4,2,3,1] => [5,2,7,6,4,3,1] => 000000
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [3,6,5,7,4,2,1] => [6,5,7,3,4,2,1] => 000000
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,7,5,6,4,2,1] => [5,7,6,3,4,2,1] => 000000
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [2,6,5,7,4,3,1] => [6,5,7,4,2,3,1] => 000000
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [2,7,5,6,4,3,1] => [5,7,6,4,2,3,1] => 000000
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [6,5,7,4,3,2,1] => [6,5,7,4,3,2,1] => 000000
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [7,5,6,4,3,2,1] => [5,7,6,4,3,2,1] => 000000
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [3,4,2,6,7,5,1] => [3,4,6,7,2,5,1] => 000000
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [3,6,7,5,2,4,1] => [6,7,5,3,2,4,1] => 000000
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [4,2,6,7,5,3,1] => [6,7,2,4,5,3,1] => 000000
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [6,7,5,3,2,4,1] => [6,3,2,7,5,4,1] => 000000
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [6,7,5,2,4,3,1] => [2,6,7,5,4,3,1] => 000000
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,3,6,7,5,2,1] => [4,6,7,3,5,2,1] => 000000
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [6,7,5,3,4,2,1] => [6,3,7,5,4,2,1] => 000000
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [2,4,6,7,5,3,1] => [6,7,4,5,2,3,1] => 000000
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [4,6,7,5,3,2,1] => [6,7,4,5,3,2,1] => 000000
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [3,2,6,7,5,4,1] => [6,7,3,5,2,4,1] => 000000
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [6,7,5,4,2,3,1] => [6,2,7,5,4,3,1] => 000000
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [3,6,7,5,4,2,1] => [6,7,5,3,4,2,1] => 000000
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [2,6,7,5,4,3,1] => [6,7,5,4,2,3,1] => 000000
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [6,7,5,4,3,2,1] => [6,7,5,4,3,2,1] => 000000
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [4,3,5,2,7,6,1] => [4,3,5,7,2,6,1] => 000000
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [4,3,7,6,2,5,1] => [7,4,6,3,2,5,1] => 000000
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [5,3,7,6,2,4,1] => [7,3,5,2,6,4,1] => 000000
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [7,6,3,4,2,5,1] => [3,4,2,7,6,5,1] => 000000
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [7,6,3,5,2,4,1] => [7,3,2,6,5,4,1] => 000000
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [4,5,2,7,6,3,1] => [4,7,2,5,6,3,1] => 000000
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [4,7,6,2,5,3,1] => [4,7,6,2,5,3,1] => 000000
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [5,3,2,7,6,4,1] => [3,7,2,5,6,4,1] => 000000
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [5,2,7,6,4,3,1] => [7,5,6,2,4,3,1] => 000000
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [3,7,6,4,2,5,1] => [3,7,6,4,2,5,1] => 000000
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [3,7,6,2,5,4,1] => [3,7,6,5,2,4,1] => 000000
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [7,6,4,2,5,3,1] => [2,4,7,6,5,3,1] => 000000
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [7,6,3,2,5,4,1] => [3,7,2,6,5,4,1] => 000000
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [7,6,2,5,4,3,1] => [7,6,2,5,4,3,1] => 000000
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [4,5,3,7,6,2,1] => [4,5,7,3,6,2,1] => 000000
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [4,7,6,3,5,2,1] => [7,6,4,3,5,2,1] => 000000
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [5,3,7,6,4,2,1] => [7,3,5,6,4,2,1] => 000000
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [7,6,4,3,5,2,1] => [4,3,7,6,5,2,1] => 000000
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [7,6,3,5,4,2,1] => [7,3,6,5,4,2,1] => 000000
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [2,5,4,7,6,3,1] => [5,7,4,6,2,3,1] => 000000
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [2,7,6,4,5,3,1] => [4,7,6,5,2,3,1] => 000000
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [5,4,7,6,3,2,1] => [5,7,4,6,3,2,1] => 000000
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [7,6,4,5,3,2,1] => [4,7,6,5,3,2,1] => 000000
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [3,2,5,7,6,4,1] => [7,3,5,6,2,4,1] => 000000
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [5,7,6,4,2,3,1] => [7,5,2,6,4,3,1] => 000000
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [3,5,7,6,4,2,1] => [7,5,6,3,4,2,1] => 000000
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [2,5,7,6,4,3,1] => [7,5,6,4,2,3,1] => 000000
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [5,7,6,4,3,2,1] => [7,5,6,4,3,2,1] => 000000
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [3,4,2,7,6,5,1] => [7,3,4,6,2,5,1] => 000000
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [3,7,6,5,2,4,1] => [7,6,5,3,2,4,1] => 000000
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [4,2,7,6,5,3,1] => [7,6,2,4,5,3,1] => 000000
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [7,6,5,3,2,4,1] => [3,2,7,6,5,4,1] => 000000
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [7,6,5,2,4,3,1] => [7,2,6,5,4,3,1] => 000000
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [4,3,7,6,5,2,1] => [7,4,6,3,5,2,1] => 000000
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [7,6,5,3,4,2,1] => [3,7,6,5,4,2,1] => 000000
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [2,4,7,6,5,3,1] => [7,6,4,5,2,3,1] => 000000
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [4,7,6,5,3,2,1] => [7,6,4,5,3,2,1] => 000000
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [3,2,7,6,5,4,1] => [7,6,3,5,2,4,1] => 000000
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [7,6,5,4,2,3,1] => [2,7,6,5,4,3,1] => 000000
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [3,7,6,5,4,2,1] => [7,6,5,3,4,2,1] => 000000
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [2,7,6,5,4,3,1] => [7,6,5,4,2,3,1] => 000000
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 000000
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [1,5,4,6,3,7,2] => [5,4,6,3,7,1,2] => 000000
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [1,5,4,7,3,6,2] => [5,7,4,3,6,1,2] => 000000
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [1,6,4,7,3,5,2] => [4,6,3,7,5,1,2] => 000000
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [1,7,4,5,3,6,2] => [4,5,3,7,6,1,2] => 000000
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [1,7,4,6,3,5,2] => [7,4,3,6,5,1,2] => 000000
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [1,5,6,3,7,4,2] => [5,3,6,7,4,1,2] => 000000
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [1,5,7,3,6,4,2] => [5,7,3,6,4,1,2] => 000000
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [1,6,4,3,7,5,2] => [4,3,6,7,5,1,2] => 000000
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [1,6,3,7,5,4,2] => [6,7,3,5,4,1,2] => 000000
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [1,4,7,5,3,6,2] => [4,7,5,3,6,1,2] => 000000
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [1,4,7,3,6,5,2] => [4,7,6,3,5,1,2] => 000000
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [1,7,5,3,6,4,2] => [3,5,7,6,4,1,2] => 000000
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [1,7,4,3,6,5,2] => [4,7,3,6,5,1,2] => 000000
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [1,7,3,6,5,4,2] => [7,6,3,5,4,1,2] => 000000
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [1,5,6,4,7,3,2] => [5,6,4,7,3,1,2] => 000000
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [1,5,7,4,6,3,2] => [7,5,4,6,3,1,2] => 000000
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [1,6,4,7,5,3,2] => [4,6,7,5,3,1,2] => 000000
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [1,7,5,4,6,3,2] => [5,4,7,6,3,1,2] => 000000
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [1,7,4,6,5,3,2] => [7,4,6,5,3,1,2] => 000000
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [1,3,6,5,7,4,2] => [6,5,7,3,4,1,2] => 000000
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [1,3,7,5,6,4,2] => [5,7,6,3,4,1,2] => 000000
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [1,6,5,7,4,3,2] => [6,5,7,4,3,1,2] => 000000
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [1,7,5,6,4,3,2] => [5,7,6,4,3,1,2] => 000000
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [1,4,3,6,7,5,2] => [4,6,7,3,5,1,2] => 000000
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [1,6,7,5,3,4,2] => [6,3,7,5,4,1,2] => 000000
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [1,4,6,7,5,3,2] => [6,7,4,5,3,1,2] => 000000
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [1,3,6,7,5,4,2] => [6,7,5,3,4,1,2] => 000000
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [1,6,7,5,4,3,2] => [6,7,5,4,3,1,2] => 000000
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [1,4,5,3,7,6,2] => [4,5,7,3,6,1,2] => 000000
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [1,4,7,6,3,5,2] => [7,6,4,3,5,1,2] => 000000
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [1,5,3,7,6,4,2] => [7,3,5,6,4,1,2] => 000000
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [1,7,6,4,3,5,2] => [4,3,7,6,5,1,2] => 000000
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [1,7,6,3,5,4,2] => [7,3,6,5,4,1,2] => 000000
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [1,5,4,7,6,3,2] => [5,7,4,6,3,1,2] => 000000
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [1,7,6,4,5,3,2] => [4,7,6,5,3,1,2] => 000000
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [1,3,5,7,6,4,2] => [7,5,6,3,4,1,2] => 000000
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [1,5,7,6,4,3,2] => [7,5,6,4,3,1,2] => 000000
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [1,4,3,7,6,5,2] => [7,4,6,3,5,1,2] => 000000
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [1,7,6,5,3,4,2] => [3,7,6,5,4,1,2] => 000000
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [1,4,7,6,5,3,2] => [7,6,4,5,3,1,2] => 000000
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [1,3,7,6,5,4,2] => [7,6,5,3,4,1,2] => 000000
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [1,7,6,5,4,3,2] => [7,6,5,4,3,1,2] => 000000
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [2,1,5,6,4,7,3] => [5,6,2,4,7,1,3] => 000000
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [2,1,5,7,4,6,3] => [7,5,2,4,6,1,3] => 000000
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [2,1,6,4,7,5,3] => [2,6,7,4,5,1,3] => 000000
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [2,1,7,5,4,6,3] => [7,2,5,4,6,1,3] => 000000
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [2,1,7,4,6,5,3] => [7,2,6,4,5,1,3] => 000000
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [2,1,6,5,7,4,3] => [6,5,7,2,4,1,3] => 000000
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [2,1,7,5,6,4,3] => [5,7,6,2,4,1,3] => 000000
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [2,1,4,6,7,5,3] => [6,7,2,4,5,1,3] => 000000
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [2,1,6,7,5,4,3] => [6,7,5,2,4,1,3] => 000000
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [2,1,5,4,7,6,3] => [5,7,2,4,6,1,3] => 000000
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [2,1,7,6,4,5,3] => [2,7,6,4,5,1,3] => 000000
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [2,1,5,7,6,4,3] => [7,5,6,2,4,1,3] => 000000
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [2,1,4,7,6,5,3] => [7,6,2,4,5,1,3] => 000000
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,1,7,6,5,4,3] => [7,6,5,2,4,1,3] => 000000
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [1,2,5,6,4,7,3] => [5,6,4,7,1,2,3] => 000000
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [1,2,5,7,4,6,3] => [7,5,4,6,1,2,3] => 000000
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [1,2,6,4,7,5,3] => [4,6,7,5,1,2,3] => 000000
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [1,2,7,5,4,6,3] => [5,4,7,6,1,2,3] => 000000
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [1,2,7,4,6,5,3] => [7,4,6,5,1,2,3] => 000000
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [1,2,6,5,7,4,3] => [6,5,7,4,1,2,3] => 000000
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [1,2,7,5,6,4,3] => [5,7,6,4,1,2,3] => 000000
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [1,2,4,6,7,5,3] => [6,7,4,5,1,2,3] => 000000
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [1,2,6,7,5,4,3] => [6,7,5,4,1,2,3] => 000000
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [1,2,5,4,7,6,3] => [5,7,4,6,1,2,3] => 000000
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [1,2,7,6,4,5,3] => [4,7,6,5,1,2,3] => 000000
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [1,2,5,7,6,4,3] => [7,5,6,4,1,2,3] => 000000
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [1,2,4,7,6,5,3] => [7,6,4,5,1,2,3] => 000000
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [1,2,7,6,5,4,3] => [7,6,5,4,1,2,3] => 000000
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [2,3,1,6,5,7,4] => [6,2,3,5,7,1,4] => 000000
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [2,3,1,7,5,6,4] => [2,7,3,5,6,1,4] => 000000
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [2,3,1,6,7,5,4] => [6,7,2,3,5,1,4] => 000000
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [2,3,1,5,7,6,4] => [7,2,3,5,6,1,4] => 000000
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [2,3,1,7,6,5,4] => [7,6,2,3,5,1,4] => 000000
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [3,2,1,6,5,7,4] => [3,6,2,5,7,1,4] => 000000
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,7,5,6,4] => [7,3,2,5,6,1,4] => 000000
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,6,7,5,4] => [3,6,7,2,5,1,4] => 000000
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,5,7,6,4] => [3,7,2,5,6,1,4] => 000000
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [3,2,1,7,6,5,4] => [7,3,6,2,5,1,4] => 000000
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [1,3,2,6,5,7,4] => [6,3,5,7,1,2,4] => 000000
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [1,3,2,7,5,6,4] => [3,7,5,6,1,2,4] => 000000
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [1,3,2,6,7,5,4] => [6,7,3,5,1,2,4] => 000000
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [1,3,2,5,7,6,4] => [7,3,5,6,1,2,4] => 000000
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [1,3,2,7,6,5,4] => [7,6,3,5,1,2,4] => 000000
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [2,1,3,6,5,7,4] => [6,2,5,7,1,3,4] => 000000
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [2,1,3,7,5,6,4] => [2,7,5,6,1,3,4] => 000000
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [2,1,3,6,7,5,4] => [6,7,2,5,1,3,4] => 000000
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [2,1,3,5,7,6,4] => [7,2,5,6,1,3,4] => 000000
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,1,3,7,6,5,4] => [7,6,2,5,1,3,4] => 000000
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [1,2,3,6,5,7,4] => [6,5,7,1,2,3,4] => 000000
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [1,2,3,7,5,6,4] => [5,7,6,1,2,3,4] => 000000
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [1,2,3,6,7,5,4] => [6,7,5,1,2,3,4] => 000000
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [1,2,3,5,7,6,4] => [7,5,6,1,2,3,4] => 000000
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => 000000
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [3,2,4,1,6,7,5] => [3,2,4,6,7,1,5] => 000000
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [3,2,4,1,7,6,5] => [3,7,2,4,6,1,5] => 000000
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [4,2,3,1,6,7,5] => [2,4,3,6,7,1,5] => 000000
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [4,2,3,1,7,6,5] => [2,4,7,3,6,1,5] => 000000
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,4,2,1,6,7,5] => [3,4,2,6,7,1,5] => 000000
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,4,2,1,7,6,5] => [3,4,7,2,6,1,5] => 000000
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [2,4,3,1,6,7,5] => [4,2,3,6,7,1,5] => 000000
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [2,4,3,1,7,6,5] => [4,7,2,3,6,1,5] => 000000
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [4,3,2,1,6,7,5] => [4,3,2,6,7,1,5] => 000000
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [4,3,2,1,7,6,5] => [4,3,7,2,6,1,5] => 000000
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => [3,4,6,7,1,2,5] => 000000
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [1,3,4,2,7,6,5] => [7,3,4,6,1,2,5] => 000000
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [1,4,3,2,6,7,5] => [4,3,6,7,1,2,5] => 000000
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => [4,7,3,6,1,2,5] => 000000
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5] => [2,4,6,7,1,3,5] => 000000
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,1,4,3,7,6,5] => [7,2,4,6,1,3,5] => 000000
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5] => [4,6,7,1,2,3,5] => 000000
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => [7,4,6,1,2,3,5] => 000000
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => [2,3,6,7,1,4,5] => 000000
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [2,3,1,4,7,6,5] => [7,2,3,6,1,4,5] => 000000
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,4,6,7,5] => [3,2,6,7,1,4,5] => 000000
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [3,2,1,4,7,6,5] => [3,7,2,6,1,4,5] => 000000
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5] => [3,6,7,1,2,4,5] => 000000
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => [7,3,6,1,2,4,5] => 000000
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5] => [2,6,7,1,3,4,5] => 000000
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,1,3,4,7,6,5] => [7,2,6,1,3,4,5] => 000000
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5] => [6,7,1,2,3,4,5] => 000000
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => [7,6,1,2,3,4,5] => 000000
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [3,4,2,5,1,7,6] => [3,4,2,5,7,1,6] => 000000
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [3,5,2,4,1,7,6] => [5,3,2,4,7,1,6] => 000000
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [4,2,5,3,1,7,6] => [2,4,5,3,7,1,6] => 000000
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [5,3,2,4,1,7,6] => [3,2,5,4,7,1,6] => 000000
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [5,2,4,3,1,7,6] => [5,2,4,3,7,1,6] => 000000
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,3,5,2,1,7,6] => [4,3,5,2,7,1,6] => 000000
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [5,3,4,2,1,7,6] => [3,5,4,2,7,1,6] => 000000
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [2,4,5,3,1,7,6] => [4,5,2,3,7,1,6] => 000000
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [4,5,3,2,1,7,6] => [4,5,3,2,7,1,6] => 000000
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [3,2,5,4,1,7,6] => [3,5,2,4,7,1,6] => 000000
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [5,4,2,3,1,7,6] => [2,5,4,3,7,1,6] => 000000
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [3,5,4,2,1,7,6] => [5,3,4,2,7,1,6] => 000000
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [2,5,4,3,1,7,6] => [5,4,2,3,7,1,6] => 000000
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [5,4,3,2,1,7,6] => [5,4,3,2,7,1,6] => 000000
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [1,4,3,5,2,7,6] => [4,3,5,7,1,2,6] => 000000
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [1,5,3,4,2,7,6] => [3,5,4,7,1,2,6] => 000000
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [1,4,5,3,2,7,6] => [4,5,3,7,1,2,6] => 000000
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [1,3,5,4,2,7,6] => [5,3,4,7,1,2,6] => 000000
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [1,5,4,3,2,7,6] => [5,4,3,7,1,2,6] => 000000
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [2,1,4,5,3,7,6] => [2,4,5,7,1,3,6] => 000000
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,1,5,4,3,7,6] => [5,2,4,7,1,3,6] => 000000
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [1,2,4,5,3,7,6] => [4,5,7,1,2,3,6] => 000000
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => [5,4,7,1,2,3,6] => 000000
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [2,3,1,5,4,7,6] => [2,3,5,7,1,4,6] => 000000
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [3,2,1,5,4,7,6] => [3,2,5,7,1,4,6] => 000000
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [3,5,7,1,2,4,6] => 000000
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => [2,5,7,1,3,4,6] => 000000
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [5,7,1,2,3,4,6] => 000000
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [3,2,4,1,5,7,6] => [3,2,4,7,1,5,6] => 000000
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [4,2,3,1,5,7,6] => [2,4,3,7,1,5,6] => 000000
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,4,2,1,5,7,6] => [3,4,2,7,1,5,6] => 000000
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [2,4,3,1,5,7,6] => [4,2,3,7,1,5,6] => 000000
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [4,3,2,1,5,7,6] => [4,3,2,7,1,5,6] => 000000
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] => [3,4,7,1,2,5,6] => 000000
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => [4,3,7,1,2,5,6] => 000000
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => [2,4,7,1,3,5,6] => 000000
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [4,7,1,2,3,5,6] => 000000
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6] => [2,3,7,1,4,5,6] => 000000
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [3,2,1,4,5,7,6] => [3,2,7,1,4,5,6] => 000000
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [3,7,1,2,4,5,6] => 000000
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => [2,7,1,3,4,5,6] => 000000
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => 000000
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [4,3,5,2,6,1,7] => [4,3,5,2,6,1,7] => 000001
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [4,3,6,2,5,1,7] => [4,6,3,2,5,1,7] => 000001
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [5,3,6,2,4,1,7] => [3,5,2,6,4,1,7] => 000001
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [6,3,4,2,5,1,7] => [3,4,2,6,5,1,7] => 000001
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [6,3,5,2,4,1,7] => [6,3,2,5,4,1,7] => 000001
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [4,5,2,6,3,1,7] => [4,2,5,6,3,1,7] => 000001
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [4,6,2,5,3,1,7] => [4,6,2,5,3,1,7] => 000001
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [5,3,2,6,4,1,7] => [3,2,5,6,4,1,7] => 000001
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [5,2,6,4,3,1,7] => [5,6,2,4,3,1,7] => 000001
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [3,6,4,2,5,1,7] => [3,6,4,2,5,1,7] => 000001
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [3,6,2,5,4,1,7] => [3,6,5,2,4,1,7] => 000001
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [6,4,2,5,3,1,7] => [2,4,6,5,3,1,7] => 000001
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [6,3,2,5,4,1,7] => [3,6,2,5,4,1,7] => 000001
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [6,2,5,4,3,1,7] => [6,5,2,4,3,1,7] => 000001
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [4,5,3,6,2,1,7] => [4,5,3,6,2,1,7] => 000001
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [4,6,3,5,2,1,7] => [6,4,3,5,2,1,7] => 000001
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [5,3,6,4,2,1,7] => [3,5,6,4,2,1,7] => 000001
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [6,4,3,5,2,1,7] => [4,3,6,5,2,1,7] => 000001
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [6,3,5,4,2,1,7] => [6,3,5,4,2,1,7] => 000001
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [2,5,4,6,3,1,7] => [5,4,6,2,3,1,7] => 000001
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [2,6,4,5,3,1,7] => [4,6,5,2,3,1,7] => 000001
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [5,4,6,3,2,1,7] => [5,4,6,3,2,1,7] => 000001
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [6,4,5,3,2,1,7] => [4,6,5,3,2,1,7] => 000001
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [3,2,5,6,4,1,7] => [3,5,6,2,4,1,7] => 000001
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [5,6,4,2,3,1,7] => [5,2,6,4,3,1,7] => 000001
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [3,5,6,4,2,1,7] => [5,6,3,4,2,1,7] => 000001
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [2,5,6,4,3,1,7] => [5,6,4,2,3,1,7] => 000001
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [5,6,4,3,2,1,7] => [5,6,4,3,2,1,7] => 000001
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [3,4,2,6,5,1,7] => [3,4,6,2,5,1,7] => 000001
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [3,6,5,2,4,1,7] => [6,5,3,2,4,1,7] => 000001
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [4,2,6,5,3,1,7] => [6,2,4,5,3,1,7] => 000001
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [6,5,3,2,4,1,7] => [3,2,6,5,4,1,7] => 000001
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [6,5,2,4,3,1,7] => [6,2,5,4,3,1,7] => 000001
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [4,3,6,5,2,1,7] => [4,6,3,5,2,1,7] => 000001
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [6,5,3,4,2,1,7] => [3,6,5,4,2,1,7] => 000001
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [2,4,6,5,3,1,7] => [6,4,5,2,3,1,7] => 000001
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [4,6,5,3,2,1,7] => [6,4,5,3,2,1,7] => 000001
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [3,2,6,5,4,1,7] => [6,3,5,2,4,1,7] => 000001
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [6,5,4,2,3,1,7] => [2,6,5,4,3,1,7] => 000001
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [3,6,5,4,2,1,7] => [6,5,3,4,2,1,7] => 000001
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [2,6,5,4,3,1,7] => [6,5,4,2,3,1,7] => 000001
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => 000001
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [1,4,5,3,6,2,7] => [4,5,3,6,1,2,7] => 000001
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [1,4,6,3,5,2,7] => [6,4,3,5,1,2,7] => 000001
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [1,5,3,6,4,2,7] => [3,5,6,4,1,2,7] => 000001
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [1,6,4,3,5,2,7] => [4,3,6,5,1,2,7] => 000001
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [1,6,3,5,4,2,7] => [6,3,5,4,1,2,7] => 000001
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [1,5,4,6,3,2,7] => [5,4,6,3,1,2,7] => 000001
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [1,6,4,5,3,2,7] => [4,6,5,3,1,2,7] => 000001
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [1,3,5,6,4,2,7] => [5,6,3,4,1,2,7] => 000001
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [1,5,6,4,3,2,7] => [5,6,4,3,1,2,7] => 000001
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [1,4,3,6,5,2,7] => [4,6,3,5,1,2,7] => 000001
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [1,6,5,3,4,2,7] => [3,6,5,4,1,2,7] => 000001
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [1,4,6,5,3,2,7] => [6,4,5,3,1,2,7] => 000001
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [1,3,6,5,4,2,7] => [6,5,3,4,1,2,7] => 000001
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [1,6,5,4,3,2,7] => [6,5,4,3,1,2,7] => 000001
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [2,1,5,4,6,3,7] => [5,2,4,6,1,3,7] => 000001
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [2,1,6,4,5,3,7] => [2,6,4,5,1,3,7] => 000001
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [2,1,5,6,4,3,7] => [5,6,2,4,1,3,7] => 000001
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [2,1,4,6,5,3,7] => [6,2,4,5,1,3,7] => 000001
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,1,6,5,4,3,7] => [6,5,2,4,1,3,7] => 000001
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [1,2,5,4,6,3,7] => [5,4,6,1,2,3,7] => 000001
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [1,2,6,4,5,3,7] => [4,6,5,1,2,3,7] => 000001
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [1,2,5,6,4,3,7] => [5,6,4,1,2,3,7] => 000001
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [1,2,4,6,5,3,7] => [6,4,5,1,2,3,7] => 000001
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [1,2,6,5,4,3,7] => [6,5,4,1,2,3,7] => 000001
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => [2,3,5,6,1,4,7] => 000001
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [2,3,1,6,5,4,7] => [6,2,3,5,1,4,7] => 000001
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,5,6,4,7] => [3,2,5,6,1,4,7] => 000001
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [3,2,1,6,5,4,7] => [3,6,2,5,1,4,7] => 000001
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] => [3,5,6,1,2,4,7] => 000001
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => [6,3,5,1,2,4,7] => 000001
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [2,1,3,5,6,4,7] => [2,5,6,1,3,4,7] => 000001
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,1,3,6,5,4,7] => [6,2,5,1,3,4,7] => 000001
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] => [5,6,1,2,3,4,7] => 000001
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => [6,5,1,2,3,4,7] => 000001
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [3,2,4,1,6,5,7] => [3,2,4,6,1,5,7] => 000001
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [4,2,3,1,6,5,7] => [2,4,3,6,1,5,7] => 000001
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,4,2,1,6,5,7] => [3,4,2,6,1,5,7] => 000001
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [2,4,3,1,6,5,7] => [4,2,3,6,1,5,7] => 000001
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [4,3,2,1,6,5,7] => [4,3,2,6,1,5,7] => 000001
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [1,3,4,2,6,5,7] => [3,4,6,1,2,5,7] => 000001
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => [4,3,6,1,2,5,7] => 000001
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => [2,4,6,1,3,5,7] => 000001
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [4,6,1,2,3,5,7] => 000001
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [2,3,1,4,6,5,7] => [2,3,6,1,4,5,7] => 000001
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [3,2,1,4,6,5,7] => [3,2,6,1,4,5,7] => 000001
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [3,6,1,2,4,5,7] => 000001
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => [2,6,1,3,4,5,7] => 000001
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [6,1,2,3,4,5,7] => 000001
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [3,4,2,5,1,6,7] => [3,4,2,5,1,6,7] => 000011
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [3,5,2,4,1,6,7] => [5,3,2,4,1,6,7] => 000011
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [4,2,5,3,1,6,7] => [2,4,5,3,1,6,7] => 000011
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [5,3,2,4,1,6,7] => [3,2,5,4,1,6,7] => 000011
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [5,2,4,3,1,6,7] => [5,2,4,3,1,6,7] => 000011
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [4,3,5,2,1,6,7] => [4,3,5,2,1,6,7] => 000011
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [5,3,4,2,1,6,7] => [3,5,4,2,1,6,7] => 000011
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [2,4,5,3,1,6,7] => [4,5,2,3,1,6,7] => 000011
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [4,5,3,2,1,6,7] => [4,5,3,2,1,6,7] => 000011
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [3,2,5,4,1,6,7] => [3,5,2,4,1,6,7] => 000011
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,4,2,3,1,6,7] => [2,5,4,3,1,6,7] => 000011
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [3,5,4,2,1,6,7] => [5,3,4,2,1,6,7] => 000011
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [2,5,4,3,1,6,7] => [5,4,2,3,1,6,7] => 000011
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => 000011
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [1,4,3,5,2,6,7] => [4,3,5,1,2,6,7] => 000011
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [1,5,3,4,2,6,7] => [3,5,4,1,2,6,7] => 000011
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [1,4,5,3,2,6,7] => [4,5,3,1,2,6,7] => 000011
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [1,3,5,4,2,6,7] => [5,3,4,1,2,6,7] => 000011
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [1,5,4,3,2,6,7] => [5,4,3,1,2,6,7] => 000011
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [2,1,4,5,3,6,7] => [2,4,5,1,3,6,7] => 000011
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,1,5,4,3,6,7] => [5,2,4,1,3,6,7] => 000011
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [1,2,4,5,3,6,7] => [4,5,1,2,3,6,7] => 000011
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => [5,4,1,2,3,6,7] => 000011
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [2,3,1,5,4,6,7] => [2,3,5,1,4,6,7] => 000011
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [3,2,1,5,4,6,7] => [3,2,5,1,4,6,7] => 000011
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [3,5,1,2,4,6,7] => 000011
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => [2,5,1,3,4,6,7] => 000011
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [5,1,2,3,4,6,7] => 000011
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [3,2,4,1,5,6,7] => [3,2,4,1,5,6,7] => 000111
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [4,2,3,1,5,6,7] => [2,4,3,1,5,6,7] => 000111
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [3,4,2,1,5,6,7] => [3,4,2,1,5,6,7] => 000111
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [2,4,3,1,5,6,7] => [4,2,3,1,5,6,7] => 000111
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => 000111
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [1,3,4,2,5,6,7] => [3,4,1,2,5,6,7] => 000111
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => [4,3,1,2,5,6,7] => 000111
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => [2,4,1,3,5,6,7] => 000111
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [4,1,2,3,5,6,7] => 000111
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => 001111
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => 001111
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [3,1,2,4,5,6,7] => 001111
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => 011111
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 111111
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [5,4,6,3,7,2,8,1] => [5,4,6,3,7,2,8,1] => 0000000
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [5,4,8,3,6,2,7,1] => [8,5,4,3,6,2,7,1] => 0000000
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [6,4,7,3,8,2,5,1] => [4,6,3,7,2,8,5,1] => 0000000
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [6,4,8,3,7,2,5,1] => [4,6,8,3,2,7,5,1] => 0000000
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [7,4,8,3,6,2,5,1] => [7,4,8,3,2,6,5,1] => 0000000
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [8,4,7,3,6,2,5,1] => [4,8,7,3,2,6,5,1] => 0000000
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [5,6,3,8,2,7,4,1] => [5,3,6,8,2,7,4,1] => 0000000
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [5,7,3,8,2,6,4,1] => [5,7,3,8,2,6,4,1] => 0000000
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [5,4,7,8,6,3,2,1] => [6,3,8,4,2,7,5,1] => [6,3,4,8,2,7,5,1] => 0000000
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [6,3,7,2,8,5,4,1] => [6,3,7,8,2,5,4,1] => 0000000
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [4,8,3,7,5,2,6,1] => [8,4,3,7,5,2,6,1] => 0000000
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [8,5,3,6,2,7,4,1] => [3,5,2,6,8,7,4,1] => 0000000
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [8,5,3,7,2,6,4,1] => [3,5,8,2,7,6,4,1] => 0000000
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [8,3,6,4,2,7,5,1] => [3,4,2,8,6,7,5,1] => 0000000
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [8,3,6,2,7,5,4,1] => [3,6,8,7,2,5,4,1] => 0000000
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [8,3,7,2,6,5,4,1] => [8,3,7,6,2,5,4,1] => 0000000
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [5,8,4,6,2,7,3,1] => [5,4,2,8,6,7,3,1] => 0000000
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [8,5,4,6,2,7,3,1] => [5,4,2,6,8,7,3,1] => 0000000
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [3,6,7,5,8,4,2,1] => [8,5,4,7,2,6,3,1] => [5,4,8,2,7,6,3,1] => 0000000
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [8,4,6,2,7,5,3,1] => [8,4,2,6,7,5,3,1] => 0000000
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [8,4,7,2,6,5,3,1] => [8,4,7,2,6,5,3,1] => 0000000
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [4,3,7,8,6,5,2,1] => [6,5,8,3,2,7,4,1] => [6,5,3,8,2,7,4,1] => 0000000
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [8,5,7,3,2,6,4,1] => [5,3,8,2,7,6,4,1] => 0000000
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [8,5,7,2,6,4,3,1] => [8,2,5,7,6,4,3,1] => 0000000
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [3,6,7,4,2,8,5,1] => [6,3,7,4,8,2,5,1] => 0000000
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [6,7,2,8,5,4,3,1] => [6,7,8,2,5,4,3,1] => 0000000
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => [4,3,7,2,8,6,5,1] => [7,4,8,3,6,2,5,1] => 0000000
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [3,7,4,2,8,6,5,1] => [3,4,7,8,6,2,5,1] => 0000000
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [4,3,5,6,8,7,2,1] => [7,3,2,8,6,5,4,1] => [7,8,3,6,2,5,4,1] => 0000000
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [7,2,8,6,5,4,3,1] => [7,8,6,5,2,4,3,1] => 0000000
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [4,5,3,8,6,2,7,1] => [8,4,5,3,6,2,7,1] => 0000000
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [4,5,3,8,2,7,6,1] => [8,4,5,3,7,2,6,1] => 0000000
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [8,3,7,6,2,5,4,1] => [3,8,7,6,2,5,4,1] => 0000000
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [8,6,4,7,2,5,3,1] => [4,2,6,8,7,5,3,1] => 0000000
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [8,4,7,6,2,5,3,1] => [4,8,7,2,6,5,3,1] => 0000000
[.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1] => [5,8,2,7,6,4,3,1] => [8,7,2,5,6,4,3,1] => 0000000
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [4,5,3,7,6,8,2,1] => [3,8,6,2,7,5,4,1] => [3,6,8,7,5,2,4,1] => 0000000
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [8,6,4,2,7,5,3,1] => [2,4,6,8,7,5,3,1] => 0000000
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [4,3,5,7,6,8,2,1] => [8,6,3,2,7,5,4,1] => [8,3,2,6,7,5,4,1] => 0000000
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [4,3,8,5,2,7,6,1] => [4,3,8,5,7,2,6,1] => 0000000
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [8,3,7,6,5,2,4,1] => [8,7,6,3,2,5,4,1] => 0000000
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1] => [8,4,2,7,6,5,3,1] => [8,7,2,4,6,5,3,1] => 0000000
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [8,3,2,7,6,5,4,1] => [8,7,3,6,2,5,4,1] => 0000000
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [5,6,4,8,3,7,2,1] => [5,6,8,4,3,7,2,1] => 0000000
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [5,7,4,8,3,6,2,1] => [7,5,8,4,3,6,2,1] => 0000000
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [5,8,4,7,3,6,2,1] => [5,8,7,4,3,6,2,1] => 0000000
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,4,7,3,8,5,2,1] => [4,6,3,7,8,5,2,1] => 0000000
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [8,4,7,3,6,5,2,1] => [4,8,7,3,6,5,2,1] => 0000000
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [6,5,8,3,7,4,2,1] => [6,5,8,3,7,4,2,1] => 0000000
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [8,5,7,3,6,4,2,1] => [5,8,3,7,6,4,2,1] => 0000000
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [6,7,4,3,8,5,2,1] => [6,4,3,7,8,5,2,1] => 0000000
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [7,5,3,8,6,4,2,1] => [3,5,7,8,6,4,2,1] => 0000000
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [2,6,7,5,4,8,3,1] => [5,4,8,3,7,6,2,1] => [8,5,4,7,3,6,2,1] => 0000000
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [8,4,7,6,3,5,2,1] => [8,7,4,3,6,5,2,1] => 0000000
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [4,8,3,7,6,5,2,1] => [8,4,7,6,3,5,2,1] => 0000000
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [8,5,3,7,6,4,2,1] => [8,3,5,7,6,4,2,1] => 0000000
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [8,4,3,7,6,5,2,1] => [8,4,7,3,6,5,2,1] => 0000000
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [3,2,7,8,6,5,4,1] => [2,6,5,8,4,7,3,1] => [6,8,5,4,7,2,3,1] => 0000000
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [3,2,6,7,5,8,4,1] => [2,5,8,4,7,6,3,1] => [5,8,7,4,6,2,3,1] => 0000000
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [6,5,7,4,8,3,2,1] => [6,5,7,4,8,3,2,1] => 0000000
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [8,5,7,4,6,3,2,1] => [8,5,4,7,6,3,2,1] => 0000000
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [2,3,5,8,7,6,4,1] => [6,7,4,8,5,3,2,1] => [6,4,7,8,5,3,2,1] => 0000000
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [8,6,4,7,5,3,2,1] => [4,6,8,7,5,3,2,1] => 0000000
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [8,4,7,6,5,3,2,1] => [8,7,4,6,5,3,2,1] => 0000000
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [4,3,2,6,8,7,5,1] => [3,2,7,5,8,6,4,1] => [3,7,8,5,6,2,4,1] => 0000000
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [3,6,7,5,8,4,2,1] => [6,7,5,8,3,4,2,1] => 0000000
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [2,6,7,5,8,4,3,1] => [6,7,5,8,4,2,3,1] => 0000000
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [6,7,5,8,4,3,2,1] => [6,7,5,8,4,3,2,1] => 0000000
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [2,3,4,7,8,6,5,1] => [6,8,5,7,4,3,2,1] => [8,6,5,7,4,3,2,1] => 0000000
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [7,5,8,6,4,3,2,1] => [5,7,8,6,4,3,2,1] => 0000000
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [8,6,5,7,4,3,2,1] => [6,5,8,7,4,3,2,1] => 0000000
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [3,4,2,8,6,7,5,1] => [3,8,4,6,7,2,5,1] => 0000000
[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [4,5,3,2,8,7,6,1] => [3,7,6,8,5,2,4,1] => [7,6,8,5,3,2,4,1] => 0000000
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [8,6,7,5,2,4,3,1] => [2,6,8,7,5,4,3,1] => 0000000
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,3,8,6,7,5,2,1] => [4,8,6,7,3,5,2,1] => 0000000
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [8,6,7,5,3,4,2,1] => [6,3,8,7,5,4,2,1] => 0000000
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [4,8,6,7,5,3,2,1] => [6,8,7,4,5,3,2,1] => 0000000
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [3,2,7,6,8,5,4,1] => [7,6,8,3,5,2,4,1] => 0000000
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [8,6,7,5,4,2,3,1] => [6,2,8,7,5,4,3,1] => 0000000
[.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [3,7,6,8,5,4,2,1] => [7,6,8,5,3,4,2,1] => 0000000
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [7,6,8,5,4,3,2,1] => [7,6,8,5,4,3,2,1] => 0000000
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [8,6,7,5,4,3,2,1] => [6,8,7,5,4,3,2,1] => 0000000
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [7,8,6,3,4,2,5,1] => [3,7,4,2,8,6,5,1] => 0000000
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1] => [7,8,6,3,5,2,4,1] => [3,7,2,8,6,5,4,1] => 0000000
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [3,4,5,6,2,8,7,1] => [7,8,6,2,5,4,3,1] => [7,8,2,6,5,4,3,1] => 0000000
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [4,5,3,7,8,6,2,1] => [4,5,7,8,3,6,2,1] => 0000000
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [7,8,6,3,5,4,2,1] => [3,7,8,6,5,4,2,1] => 0000000
[.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [7,8,6,4,5,3,2,1] => [7,4,8,6,5,3,2,1] => 0000000
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,5,7,8,6,4,2,1] => [7,8,5,6,3,4,2,1] => 0000000
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [5,7,8,6,4,3,2,1] => [7,8,5,6,4,3,2,1] => 0000000
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [4,5,3,2,6,8,7,1] => [3,7,8,6,5,2,4,1] => [7,8,6,5,3,2,4,1] => 0000000
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [7,8,6,5,3,4,2,1] => [7,3,8,6,5,4,2,1] => 0000000
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [7,8,6,5,4,2,3,1] => [7,2,8,6,5,4,3,1] => 0000000
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [3,7,8,6,5,4,2,1] => [7,8,6,5,3,4,2,1] => 0000000
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [2,7,8,6,5,4,3,1] => [7,8,6,5,4,2,3,1] => 0000000
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [7,8,6,5,4,3,2,1] => [7,8,6,5,4,3,2,1] => 0000000
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [4,5,3,8,7,2,6,1] => [8,4,5,7,3,2,6,1] => 0000000
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [4,6,3,8,7,2,5,1] => [6,8,4,7,3,2,5,1] => 0000000
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [4,8,7,3,6,2,5,1] => [4,8,7,6,3,2,5,1] => 0000000
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => [5,3,8,7,2,6,4,1] => [3,8,5,7,2,6,4,1] => 0000000
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [8,7,4,3,5,2,6,1] => [4,3,5,2,8,7,6,1] => 0000000
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [8,7,3,5,2,6,4,1] => [3,2,8,5,7,6,4,1] => 0000000
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [8,7,3,6,2,5,4,1] => [3,8,7,2,6,5,4,1] => 0000000
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [8,7,4,6,2,5,3,1] => [4,8,2,7,6,5,3,1] => 0000000
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [5,6,3,2,8,7,4,1] => [5,3,8,2,6,7,4,1] => 0000000
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [4,3,6,7,5,2,8,1] => [5,8,7,3,2,6,4,1] => [5,3,8,7,2,6,4,1] => 0000000
[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [5,8,7,2,6,4,3,1] => [8,5,7,2,6,4,3,1] => 0000000
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => [3,6,4,2,8,7,5,1] => [3,6,8,4,7,2,5,1] => 0000000
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [4,5,3,7,6,2,8,1] => [3,6,2,8,7,5,4,1] => [8,3,6,7,5,2,4,1] => 0000000
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [6,4,2,8,7,5,3,1] => [8,2,4,6,7,5,3,1] => 0000000
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [3,4,5,7,6,2,8,1] => [6,2,8,7,5,4,3,1] => [8,6,7,5,2,4,3,1] => 0000000
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [4,3,8,7,5,2,6,1] => [8,7,4,3,5,2,6,1] => 0000000
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [8,7,5,3,6,2,4,1] => [3,5,2,8,7,6,4,1] => 0000000
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [8,7,3,4,2,6,5,1] => [3,4,8,2,7,6,5,1] => 0000000
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [4,8,7,2,6,5,3,1] => [8,4,7,6,2,5,3,1] => 0000000
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [8,7,5,2,6,4,3,1] => [2,8,5,7,6,4,3,1] => 0000000
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [3,8,7,4,2,6,5,1] => [3,4,8,7,6,2,5,1] => 0000000
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [3,8,7,2,6,5,4,1] => [8,3,7,6,5,2,4,1] => 0000000
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [3,5,4,6,7,2,8,1] => [8,7,4,2,6,5,3,1] => [8,2,4,7,6,5,3,1] => 0000000
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [8,7,3,2,6,5,4,1] => [8,3,7,2,6,5,4,1] => 0000000
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [5,8,7,3,6,4,2,1] => [5,8,7,3,6,4,2,1] => 0000000
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [8,7,5,3,6,4,2,1] => [3,5,8,7,6,4,2,1] => 0000000
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [8,7,4,3,6,5,2,1] => [4,8,3,7,6,5,2,1] => 0000000
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [8,7,3,6,5,4,2,1] => [8,7,3,6,5,4,2,1] => 0000000
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [2,8,7,5,4,6,3,1] => [5,4,8,7,6,2,3,1] => 0000000
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [2,8,7,4,6,5,3,1] => [8,4,7,6,5,2,3,1] => 0000000
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [5,6,4,8,7,3,2,1] => [5,6,8,4,7,3,2,1] => 0000000
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [6,4,8,7,5,3,2,1] => [8,4,6,7,5,3,2,1] => 0000000
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [4,3,2,6,7,5,8,1] => [3,2,8,7,5,6,4,1] => [3,8,7,5,6,2,4,1] => 0000000
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [8,7,5,6,4,2,3,1] => [5,2,8,7,6,4,3,1] => 0000000
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [3,6,5,8,7,4,2,1] => [6,8,5,7,3,4,2,1] => 0000000
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [3,8,7,5,6,4,2,1] => [5,8,7,6,3,4,2,1] => 0000000
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => [2,6,5,8,7,4,3,1] => [6,8,5,7,4,2,3,1] => 0000000
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [6,5,8,7,4,3,2,1] => [6,8,5,7,4,3,2,1] => 0000000
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [8,7,5,6,4,3,2,1] => [5,8,7,6,4,3,2,1] => 0000000
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [6,8,7,5,3,2,4,1] => [8,6,3,2,7,5,4,1] => 0000000
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [6,8,7,5,2,4,3,1] => [6,8,2,7,5,4,3,1] => 0000000
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [2,4,6,8,7,5,3,1] => [8,6,7,4,5,2,3,1] => 0000000
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [4,6,8,7,5,3,2,1] => [8,6,7,4,5,3,2,1] => 0000000
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [3,2,6,8,7,5,4,1] => [8,6,7,3,5,2,4,1] => 0000000
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [3,6,8,7,5,4,2,1] => [8,6,7,5,3,4,2,1] => 0000000
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [2,6,8,7,5,4,3,1] => [8,6,7,5,4,2,3,1] => 0000000
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [4,3,5,2,8,7,6,1] => [4,8,3,5,7,2,6,1] => 0000000
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [8,7,6,3,4,2,5,1] => [3,4,2,8,7,6,5,1] => 0000000
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [8,7,6,3,5,2,4,1] => [8,3,2,7,6,5,4,1] => 0000000
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => [4,8,7,6,2,5,3,1] => [4,8,7,6,2,5,3,1] => 0000000
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [3,5,4,6,2,7,8,1] => [8,7,6,4,2,5,3,1] => [2,4,8,7,6,5,3,1] => 0000000
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [8,7,6,3,2,5,4,1] => [3,8,2,7,6,5,4,1] => 0000000
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [4,5,3,8,7,6,2,1] => [8,4,5,7,3,6,2,1] => 0000000
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => [5,3,8,7,6,4,2,1] => [8,7,3,5,6,4,2,1] => 0000000
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [8,7,6,4,3,5,2,1] => [4,3,8,7,6,5,2,1] => 0000000
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => [8,7,6,3,5,4,2,1] => [8,3,7,6,5,4,2,1] => 0000000
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [5,4,8,7,6,3,2,1] => [8,5,7,4,6,3,2,1] => 0000000
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [8,7,6,4,5,3,2,1] => [4,8,7,6,5,3,2,1] => 0000000
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [5,8,7,6,4,2,3,1] => [8,7,5,2,6,4,3,1] => 0000000
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [3,5,8,7,6,4,2,1] => [8,7,5,6,3,4,2,1] => 0000000
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [5,8,7,6,4,3,2,1] => [8,7,5,6,4,3,2,1] => 0000000
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [8,7,6,5,3,2,4,1] => [3,2,8,7,6,5,4,1] => 0000000
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [8,7,6,5,2,4,3,1] => [8,2,7,6,5,4,3,1] => 0000000
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => [4,3,8,7,6,5,2,1] => [8,7,4,6,3,5,2,1] => 0000000
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [8,7,6,5,3,4,2,1] => [3,8,7,6,5,4,2,1] => 0000000
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [2,4,8,7,6,5,3,1] => [8,7,6,4,5,2,3,1] => 0000000
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [4,8,7,6,5,3,2,1] => [8,7,6,4,5,3,2,1] => 0000000
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [3,2,8,7,6,5,4,1] => [8,7,6,3,5,2,4,1] => 0000000
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [8,7,6,5,4,2,3,1] => [2,8,7,6,5,4,3,1] => 0000000
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [3,8,7,6,5,4,2,1] => [8,7,6,5,3,4,2,1] => 0000000
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [2,8,7,6,5,4,3,1] => [8,7,6,5,4,2,3,1] => 0000000
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 0000000
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [1,5,6,4,7,3,8,2] => [5,6,4,7,3,8,1,2] => 0000000
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [1,5,6,4,8,3,7,2] => [5,6,8,4,3,7,1,2] => 0000000
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [1,5,7,4,8,3,6,2] => [7,5,8,4,3,6,1,2] => 0000000
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [1,5,8,4,6,3,7,2] => [5,4,8,6,3,7,1,2] => 0000000
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [1,5,8,4,7,3,6,2] => [5,8,7,4,3,6,1,2] => 0000000
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [1,8,5,4,6,3,7,2] => [5,4,6,3,8,7,1,2] => 0000000
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [1,8,4,6,3,7,5,2] => [4,3,8,6,7,5,1,2] => 0000000
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [1,8,4,7,3,6,5,2] => [4,8,7,3,6,5,1,2] => 0000000
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [1,7,5,8,3,6,4,2] => [5,3,7,8,6,4,1,2] => 0000000
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [1,8,5,7,3,6,4,2] => [5,8,3,7,6,4,1,2] => 0000000
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [1,6,8,4,3,7,5,2] => [6,4,8,3,7,5,1,2] => 0000000
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [1,6,7,3,8,5,4,2] => [3,6,7,8,5,4,1,2] => 0000000
[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,6,5,4,8,7,3,2] => [1,4,7,5,3,8,6,2] => [4,7,5,8,3,6,1,2] => 0000000
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [1,5,4,8,6,3,7,2] => [8,5,4,6,3,7,1,2] => 0000000
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [1,5,8,6,3,7,4,2] => [5,3,8,6,7,4,1,2] => 0000000
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [1,5,8,3,7,6,4,2] => [8,5,7,3,6,4,1,2] => 0000000
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => [1,8,4,3,7,6,5,2] => [8,4,7,3,6,5,1,2] => 0000000
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [1,8,3,7,6,5,4,2] => [8,7,6,3,5,4,1,2] => 0000000
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [1,6,5,7,4,8,3,2] => [6,5,7,4,8,3,1,2] => 0000000
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [1,7,5,8,4,6,3,2] => [5,7,4,8,6,3,1,2] => 0000000
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [1,6,7,4,8,5,3,2] => [6,4,7,8,5,3,1,2] => 0000000
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [1,6,8,4,7,5,3,2] => [6,8,4,7,5,3,1,2] => 0000000
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [1,7,4,8,6,5,3,2] => [7,8,4,6,5,3,1,2] => 0000000
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [1,5,8,4,7,6,3,2] => [5,8,7,4,6,3,1,2] => 0000000
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [1,8,6,4,7,5,3,2] => [4,6,8,7,5,3,1,2] => 0000000
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [1,8,5,4,7,6,3,2] => [5,8,4,7,6,3,1,2] => 0000000
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [1,3,6,7,5,8,4,2] => [6,7,5,8,3,4,1,2] => 0000000
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [1,3,7,5,8,6,4,2] => [5,7,8,6,3,4,1,2] => 0000000
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => [1,3,8,6,5,7,4,2] => [6,5,8,7,3,4,1,2] => 0000000
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [1,6,7,5,8,4,3,2] => [6,7,5,8,4,3,1,2] => 0000000
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [1,8,6,5,7,4,3,2] => [6,5,8,7,4,3,1,2] => 0000000
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [1,4,3,7,6,8,5,2] => [7,4,6,8,3,5,1,2] => 0000000
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [1,7,6,8,5,3,4,2] => [7,6,3,8,5,4,1,2] => 0000000
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [1,8,6,7,5,3,4,2] => [6,3,8,7,5,4,1,2] => 0000000
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [1,4,8,6,7,5,3,2] => [6,8,7,4,5,3,1,2] => 0000000
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [1,7,6,8,5,4,3,2] => [7,6,8,5,4,3,1,2] => 0000000
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [1,8,6,7,5,4,3,2] => [6,8,7,5,4,3,1,2] => 0000000
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [1,5,3,7,8,6,4,2] => [7,8,3,5,6,4,1,2] => 0000000
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [1,3,5,7,8,6,4,2] => [7,8,5,6,3,4,1,2] => 0000000
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [1,4,3,7,8,6,5,2] => [7,8,4,6,3,5,1,2] => 0000000
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [1,7,8,6,5,3,4,2] => [7,3,8,6,5,4,1,2] => 0000000
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [1,7,8,6,5,4,3,2] => [7,8,6,5,4,3,1,2] => 0000000
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [1,5,4,8,7,3,6,2] => [8,5,7,4,3,6,1,2] => 0000000
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [1,8,7,4,5,3,6,2] => [4,5,3,8,7,6,1,2] => 0000000
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [1,8,7,4,3,6,5,2] => [4,8,3,7,6,5,1,2] => 0000000
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [1,6,4,8,7,5,3,2] => [8,4,6,7,5,3,1,2] => 0000000
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [1,8,7,5,4,6,3,2] => [5,4,8,7,6,3,1,2] => 0000000
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [1,8,7,4,6,5,3,2] => [8,4,7,6,5,3,1,2] => 0000000
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [1,3,8,7,5,6,4,2] => [5,8,7,6,3,4,1,2] => 0000000
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [1,8,7,5,6,4,3,2] => [5,8,7,6,4,3,1,2] => 0000000
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [1,4,6,8,7,5,3,2] => [8,6,7,4,5,3,1,2] => 0000000
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [1,6,8,7,5,4,3,2] => [8,6,7,5,4,3,1,2] => 0000000
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [1,4,5,3,8,7,6,2] => [8,4,5,7,3,6,1,2] => 0000000
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [1,8,7,6,4,3,5,2] => [4,3,8,7,6,5,1,2] => 0000000
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [1,8,7,6,4,5,3,2] => [4,8,7,6,5,3,1,2] => 0000000
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [1,3,5,8,7,6,4,2] => [8,7,5,6,3,4,1,2] => 0000000
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [1,5,8,7,6,4,3,2] => [8,7,5,6,4,3,1,2] => 0000000
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [1,4,3,8,7,6,5,2] => [8,7,4,6,3,5,1,2] => 0000000
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [1,8,7,6,5,3,4,2] => [3,8,7,6,5,4,1,2] => 0000000
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [1,4,8,7,6,5,3,2] => [8,7,6,4,5,3,1,2] => 0000000
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [1,3,8,7,6,5,4,2] => [8,7,6,5,3,4,1,2] => 0000000
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [1,8,7,6,5,4,3,2] => [8,7,6,5,4,3,1,2] => 0000000
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [2,1,6,5,7,4,8,3] => [6,5,7,2,4,8,1,3] => 0000000
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [2,1,7,5,8,4,6,3] => [7,8,2,5,4,6,1,3] => 0000000
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [2,1,8,5,7,4,6,3] => [8,7,2,5,4,6,1,3] => 0000000
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [2,1,6,7,4,8,5,3] => [6,2,7,8,4,5,1,3] => 0000000
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [2,1,6,8,4,7,5,3] => [6,8,2,7,4,5,1,3] => 0000000
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [2,1,7,4,8,6,5,3] => [7,8,2,6,4,5,1,3] => 0000000
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [2,1,5,8,4,7,6,3] => [5,8,7,2,4,6,1,3] => 0000000
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [2,1,8,5,4,7,6,3] => [2,8,5,7,4,6,1,3] => 0000000
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [2,1,6,7,5,8,4,3] => [6,7,5,8,2,4,1,3] => 0000000
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [2,1,6,8,5,7,4,3] => [8,6,5,7,2,4,1,3] => 0000000
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [2,1,4,7,6,8,5,3] => [2,1,8,6,5,7,4,3] => [6,5,8,7,2,4,1,3] => 0000000
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [2,1,4,7,6,8,5,3] => [7,6,8,2,4,5,1,3] => 0000000
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [2,1,8,6,7,5,4,3] => [6,8,7,5,2,4,1,3] => 0000000
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [2,1,5,4,7,8,6,3] => [5,7,8,2,4,6,1,3] => 0000000
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [2,1,7,8,6,4,5,3] => [7,2,8,6,4,5,1,3] => 0000000
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [2,1,5,7,8,6,4,3] => [7,8,5,6,2,4,1,3] => 0000000
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [2,1,5,6,4,8,7,3] => [5,6,8,2,4,7,1,3] => 0000000
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [2,1,6,5,8,7,4,3] => [6,8,5,7,2,4,1,3] => 0000000
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [2,1,8,7,5,6,4,3] => [5,8,7,6,2,4,1,3] => 0000000
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [2,1,8,7,6,4,5,3] => [2,8,7,6,4,5,1,3] => 0000000
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,1,8,7,6,5,4,3] => [8,7,6,5,2,4,1,3] => 0000000
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [1,2,6,5,7,4,8,3] => [6,5,7,4,8,1,2,3] => 0000000
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [1,2,8,5,7,4,6,3] => [8,5,4,7,6,1,2,3] => 0000000
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [1,2,8,6,4,7,5,3] => [4,6,8,7,5,1,2,3] => 0000000
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [1,2,6,7,5,8,4,3] => [6,7,5,8,4,1,2,3] => 0000000
[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,2,4,7,6,8,5,3] => [1,2,8,6,5,7,4,3] => [6,5,8,7,4,1,2,3] => 0000000
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [1,2,7,6,8,5,4,3] => [7,6,8,5,4,1,2,3] => 0000000
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [1,2,7,8,6,5,4,3] => [7,8,6,5,4,1,2,3] => 0000000
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [1,2,6,5,8,7,4,3] => [6,8,5,7,4,1,2,3] => 0000000
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [1,2,4,6,8,7,5,3] => [8,6,7,4,5,1,2,3] => 0000000
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [1,2,4,8,7,6,5,3] => [8,7,6,4,5,1,2,3] => 0000000
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [1,2,8,7,6,5,4,3] => [8,7,6,5,4,1,2,3] => 0000000
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [2,3,1,8,6,5,7,4] => [8,2,6,3,5,7,1,4] => 0000000
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [2,3,1,7,6,8,5,4] => [7,6,8,2,3,5,1,4] => 0000000
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [2,3,1,8,6,7,5,4] => [6,8,7,2,3,5,1,4] => 0000000
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [2,3,1,8,7,5,6,4] => [2,8,7,3,5,6,1,4] => 0000000
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,8,6,7,5,4] => [3,8,6,7,2,5,1,4] => 0000000
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [3,2,1,6,5,8,7,4] => [3,6,8,2,5,7,1,4] => 0000000
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,8,7,5,6,4] => [8,7,3,2,5,6,1,4] => 0000000
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [3,2,1,8,7,6,5,4] => [8,7,3,6,2,5,1,4] => 0000000
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [1,3,2,8,5,7,6,4] => [8,3,7,5,6,1,2,4] => 0000000
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [1,3,2,8,6,7,5,4] => [6,8,7,3,5,1,2,4] => 0000000
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [1,3,2,5,7,8,6,4] => [7,8,3,5,6,1,2,4] => 0000000
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [1,3,2,8,7,5,6,4] => [3,8,7,5,6,1,2,4] => 0000000
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [1,3,2,8,7,6,5,4] => [8,7,6,3,5,1,2,4] => 0000000
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [2,1,3,6,8,5,7,4] => [8,6,2,5,7,1,3,4] => 0000000
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => [2,1,3,8,5,7,6,4] => [8,2,7,5,6,1,3,4] => 0000000
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [2,1,3,5,7,8,6,4] => [7,8,2,5,6,1,3,4] => 0000000
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [2,1,3,5,7,6,8,4] => [2,1,3,6,8,7,5,4] => [8,6,7,2,5,1,3,4] => 0000000
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [1,2,3,6,7,5,8,4] => [6,7,5,8,1,2,3,4] => 0000000
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [1,2,3,6,8,5,7,4] => [8,6,5,7,1,2,3,4] => 0000000
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [1,2,3,7,5,8,6,4] => [5,7,8,6,1,2,3,4] => 0000000
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [1,2,3,8,6,5,7,4] => [6,5,8,7,1,2,3,4] => 0000000
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [1,2,3,8,5,7,6,4] => [8,5,7,6,1,2,3,4] => 0000000
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [1,2,3,7,6,8,5,4] => [7,6,8,5,1,2,3,4] => 0000000
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [1,2,3,8,6,7,5,4] => [6,8,7,5,1,2,3,4] => 0000000
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [1,2,3,5,7,8,6,4] => [7,8,5,6,1,2,3,4] => 0000000
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [1,2,3,7,8,6,5,4] => [7,8,6,5,1,2,3,4] => 0000000
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [1,2,3,6,5,8,7,4] => [6,8,5,7,1,2,3,4] => 0000000
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [1,2,3,8,7,5,6,4] => [5,8,7,6,1,2,3,4] => 0000000
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [1,2,3,6,8,7,5,4] => [8,6,7,5,1,2,3,4] => 0000000
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [1,2,3,5,8,7,6,4] => [8,7,5,6,1,2,3,4] => 0000000
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [1,2,3,8,7,6,5,4] => [8,7,6,5,1,2,3,4] => 0000000
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [3,2,4,1,7,6,8,5] => [3,7,2,4,6,8,1,5] => 0000000
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [3,2,4,1,8,6,7,5] => [8,3,2,4,6,7,1,5] => 0000000
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [3,2,4,1,7,8,6,5] => [3,7,8,2,4,6,1,5] => 0000000
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [3,2,4,1,6,8,7,5] => [3,8,2,4,6,7,1,5] => 0000000
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [3,2,4,1,8,7,6,5] => [8,3,7,2,4,6,1,5] => 0000000
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,2,3,1,7,6,8,5] => [2,4,7,3,6,8,1,5] => 0000000
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [4,2,3,1,8,6,7,5] => [4,2,8,3,6,7,1,5] => 0000000
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [4,2,3,1,8,7,6,5] => [8,2,4,7,3,6,1,5] => 0000000
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [3,4,2,1,7,6,8,5] => [3,4,7,2,6,8,1,5] => 0000000
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,4,2,1,7,8,6,5] => [3,4,7,8,2,6,1,5] => 0000000
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,4,2,1,8,7,6,5] => [8,3,4,7,2,6,1,5] => 0000000
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [2,4,3,1,7,6,8,5] => [4,7,2,3,6,8,1,5] => 0000000
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [2,4,3,1,6,8,7,5] => [4,8,2,3,6,7,1,5] => 0000000
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [2,4,3,1,8,7,6,5] => [8,4,7,2,3,6,1,5] => 0000000
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,3,2,1,7,6,8,5] => [4,3,7,2,6,8,1,5] => 0000000
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [4,3,2,1,8,6,7,5] => [4,8,3,2,6,7,1,5] => 0000000
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [4,3,2,1,7,8,6,5] => [4,3,7,8,2,6,1,5] => 0000000
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [4,3,2,1,6,8,7,5] => [4,3,8,2,6,7,1,5] => 0000000
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [4,3,2,1,8,7,6,5] => [4,8,3,7,2,6,1,5] => 0000000
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [1,3,4,2,7,6,8,5] => [7,3,4,6,8,1,2,5] => 0000000
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [1,3,4,2,7,8,6,5] => [7,8,3,4,6,1,2,5] => 0000000
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [1,3,4,2,8,7,6,5] => [8,7,3,4,6,1,2,5] => 0000000
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [1,4,3,2,7,6,8,5] => [4,7,3,6,8,1,2,5] => 0000000
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [1,4,3,2,8,7,6,5] => [8,4,7,3,6,1,2,5] => 0000000
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [2,1,4,3,7,6,8,5] => [7,2,4,6,8,1,3,5] => 0000000
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [2,1,4,3,8,6,7,5] => [2,8,4,6,7,1,3,5] => 0000000
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [2,1,4,3,7,8,6,5] => [7,8,2,4,6,1,3,5] => 0000000
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [2,1,4,3,6,8,7,5] => [8,2,4,6,7,1,3,5] => 0000000
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,1,4,3,8,7,6,5] => [8,7,2,4,6,1,3,5] => 0000000
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [1,2,4,3,8,6,7,5] => [4,8,6,7,1,2,3,5] => 0000000
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [1,2,4,3,7,8,6,5] => [7,8,4,6,1,2,3,5] => 0000000
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [1,2,4,3,6,8,7,5] => [8,4,6,7,1,2,3,5] => 0000000
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,7,6,5] => [8,7,4,6,1,2,3,5] => 0000000
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [2,3,1,4,7,8,6,5] => [7,8,2,3,6,1,4,5] => 0000000
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [2,3,1,4,6,8,7,5] => [8,2,3,6,7,1,4,5] => 0000000
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [2,3,1,4,8,7,6,5] => [8,7,2,3,6,1,4,5] => 0000000
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [3,2,1,4,8,7,6,5] => [8,3,7,2,6,1,4,5] => 0000000
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [1,3,2,4,8,7,6,5] => [8,7,3,6,1,2,4,5] => 0000000
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [2,1,3,4,6,8,7,5] => [8,2,6,7,1,3,4,5] => 0000000
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,1,3,4,8,7,6,5] => [8,7,2,6,1,3,4,5] => 0000000
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [1,2,3,4,7,6,8,5] => [7,6,8,1,2,3,4,5] => 0000000
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [1,2,3,4,8,6,7,5] => [6,8,7,1,2,3,4,5] => 0000000
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [1,2,3,4,7,8,6,5] => [7,8,6,1,2,3,4,5] => 0000000
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [1,2,3,4,6,8,7,5] => [8,6,7,1,2,3,4,5] => 0000000
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,7,6,5] => [8,7,6,1,2,3,4,5] => 0000000
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,5,3,1,8,7,6] => [2,4,5,8,3,7,1,6] => 0000000
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [5,3,2,4,1,7,8,6] => [3,2,5,4,7,8,1,6] => 0000000
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [5,2,4,3,1,7,8,6] => [5,2,4,3,7,8,1,6] => 0000000
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [5,3,4,2,1,7,8,6] => [3,5,4,2,7,8,1,6] => 0000000
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [3,2,5,4,1,8,7,6] => [3,5,8,2,4,7,1,6] => 0000000
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [5,4,3,2,1,7,8,6] => [5,4,3,2,7,8,1,6] => 0000000
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [5,4,3,2,1,8,7,6] => [5,4,3,8,2,7,1,6] => 0000000
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [1,4,3,5,2,8,7,6] => [4,8,3,5,7,1,2,6] => 0000000
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [1,5,3,4,2,7,8,6] => [3,5,4,7,8,1,2,6] => 0000000
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [1,5,4,3,2,7,8,6] => [5,4,3,7,8,1,2,6] => 0000000
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [1,5,4,3,2,8,7,6] => [5,4,8,3,7,1,2,6] => 0000000
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6] => [2,1,4,5,3,7,8,6] => [2,4,5,7,8,1,3,6] => 0000000
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [2,1,5,4,3,7,8,6] => [5,2,4,7,8,1,3,6] => 0000000
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [1,2,4,5,3,7,8,6] => [4,5,7,8,1,2,3,6] => 0000000
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [1,2,5,4,3,7,8,6] => [5,4,7,8,1,2,3,6] => 0000000
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [1,2,5,4,3,8,7,6] => [5,8,4,7,1,2,3,6] => 0000000
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [1,3,2,5,4,7,8,6] => [3,5,7,8,1,2,4,6] => 0000000
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [1,3,2,5,4,8,7,6] => [8,3,5,7,1,2,4,6] => 0000000
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [2,1,3,5,4,7,8,6] => [2,5,7,8,1,3,4,6] => 0000000
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [1,2,3,5,4,7,8,6] => [5,7,8,1,2,3,4,6] => 0000000
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [1,2,3,5,4,8,7,6] => [8,5,7,1,2,3,4,6] => 0000000
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [3,2,4,1,5,7,8,6] => [3,2,4,7,8,1,5,6] => 0000000
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [3,4,2,1,5,8,7,6] => [4,2,3,1,5,7,8,6] => [2,4,3,7,8,1,5,6] => 0000000
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [4,3,2,1,5,7,8,6] => [4,3,2,7,8,1,5,6] => 0000000
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [4,3,2,1,5,8,7,6] => [4,3,8,2,7,1,5,6] => 0000000
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [1,3,4,2,5,7,8,6] => [3,4,7,8,1,2,5,6] => 0000000
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [1,4,3,2,5,7,8,6] => [4,3,7,8,1,2,5,6] => 0000000
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [1,4,3,2,5,8,7,6] => [4,8,3,7,1,2,5,6] => 0000000
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [2,1,4,3,5,7,8,6] => [2,4,7,8,1,3,5,6] => 0000000
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [2,3,1,4,5,7,8,6] => [2,3,7,8,1,4,5,6] => 0000000
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [2,3,1,4,5,8,7,6] => [8,2,3,7,1,4,5,6] => 0000000
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [3,2,1,4,5,8,7,6] => [3,8,2,7,1,4,5,6] => 0000000
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [1,3,2,4,5,7,8,6] => [3,7,8,1,2,4,5,6] => 0000000
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [2,1,3,4,5,7,8,6] => [2,7,8,1,3,4,5,6] => 0000000
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,8,6] => [7,8,1,2,3,4,5,6] => 0000000
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => [8,7,1,2,3,4,5,6] => 0000000
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [4,3,5,2,6,1,8,7] => [4,3,5,2,6,8,1,7] => 0000000
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,3,6,2,4,1,8,7] => [3,5,2,6,4,8,1,7] => 0000000
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [6,3,4,2,5,1,8,7] => [3,4,2,6,5,8,1,7] => 0000000
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [6,3,5,2,4,1,8,7] => [6,3,2,5,4,8,1,7] => 0000000
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [4,5,2,6,3,1,8,7] => [4,2,5,6,3,8,1,7] => 0000000
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [5,2,6,4,3,1,8,7] => [5,6,2,4,3,8,1,7] => 0000000
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [4,5,3,6,2,1,8,7] => [4,5,3,6,2,8,1,7] => 0000000
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [4,6,3,5,2,1,8,7] => [6,4,3,5,2,8,1,7] => 0000000
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [2,5,4,6,3,1,8,7] => [5,4,6,2,3,8,1,7] => 0000000
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [5,6,4,2,3,1,8,7] => [5,2,6,4,3,8,1,7] => 0000000
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,5,6,4,2,1,8,7] => [5,6,3,4,2,8,1,7] => 0000000
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7] => [3,6,5,2,4,1,8,7] => [6,5,3,2,4,8,1,7] => 0000000
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [4,2,6,5,3,1,8,7] => [6,2,4,5,3,8,1,7] => 0000000
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,3,6,5,2,1,8,7] => [4,6,3,5,2,8,1,7] => 0000000
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [6,5,3,4,2,1,8,7] => [3,6,5,4,2,8,1,7] => 0000000
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [2,4,6,5,3,1,8,7] => [6,4,5,2,3,8,1,7] => 0000000
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [3,2,6,5,4,1,8,7] => [6,3,5,2,4,8,1,7] => 0000000
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [6,5,4,2,3,1,8,7] => [2,6,5,4,3,8,1,7] => 0000000
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [3,6,5,4,2,1,8,7] => [6,5,3,4,2,8,1,7] => 0000000
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [6,5,4,3,2,1,8,7] => [6,5,4,3,2,8,1,7] => 0000000
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [2,1,5,4,6,3,8,7] => [5,2,4,6,8,1,3,7] => 0000000
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [2,1,6,4,5,3,8,7] => [2,6,4,5,8,1,3,7] => 0000000
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [2,1,5,6,4,3,8,7] => [5,6,2,4,8,1,3,7] => 0000000
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [2,1,4,6,5,3,8,7] => [6,2,4,5,8,1,3,7] => 0000000
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,1,6,5,4,3,8,7] => [6,5,2,4,8,1,3,7] => 0000000
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => [2,3,1,5,6,4,8,7] => [2,3,5,6,8,1,4,7] => 0000000
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,1,5,6,4,8,7] => [3,2,5,6,8,1,4,7] => 0000000
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [1,3,2,5,6,4,8,7] => [3,5,6,8,1,2,4,7] => 0000000
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [1,3,2,6,5,4,8,7] => [6,3,5,8,1,2,4,7] => 0000000
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [2,1,3,6,5,4,8,7] => [2,1,3,5,6,4,8,7] => [2,5,6,8,1,3,4,7] => 0000000
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,1,3,6,5,4,8,7] => [6,2,5,8,1,3,4,7] => 0000000
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [1,2,3,5,6,4,8,7] => [5,6,8,1,2,3,4,7] => 0000000
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [1,2,3,6,5,4,8,7] => [6,5,8,1,2,3,4,7] => 0000000
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [3,2,4,1,6,5,8,7] => [3,2,4,6,8,1,5,7] => 0000000
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [4,2,3,1,6,5,8,7] => [2,4,3,6,8,1,5,7] => 0000000
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,4,2,1,6,5,8,7] => [3,4,2,6,8,1,5,7] => 0000000
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [2,4,3,1,6,5,8,7] => [4,2,3,6,8,1,5,7] => 0000000
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => [4,3,2,6,8,1,5,7] => 0000000
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => [2,4,6,8,1,3,5,7] => 0000000
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => [4,6,8,1,2,3,5,7] => 0000000
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [3,2,1,4,6,5,8,7] => [3,2,6,8,1,4,5,7] => 0000000
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,1,3,4,6,5,8,7] => [2,6,8,1,3,4,5,7] => 0000000
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [6,8,1,2,3,4,5,7] => 0000000
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [5,3,2,4,1,6,8,7] => [3,2,5,4,8,1,6,7] => 0000000
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [5,2,4,3,1,6,8,7] => [5,2,4,3,8,1,6,7] => 0000000
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [4,3,5,2,1,6,8,7] => [4,3,5,2,8,1,6,7] => 0000000
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [5,3,4,2,1,6,8,7] => [3,5,4,2,8,1,6,7] => 0000000
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [5,4,3,2,1,6,8,7] => [5,4,3,2,8,1,6,7] => 0000000
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [1,5,4,3,2,6,8,7] => [5,4,3,8,1,2,6,7] => 0000000
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,1,5,4,3,6,8,7] => [5,2,4,8,1,3,6,7] => 0000000
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [1,2,4,5,3,6,8,7] => [4,5,8,1,2,3,6,7] => 0000000
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,1,3,5,4,6,8,7] => [2,5,8,1,3,4,6,7] => 0000000
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [1,2,3,5,4,6,8,7] => [5,8,1,2,3,4,6,7] => 0000000
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [3,2,4,1,5,6,8,7] => [3,2,4,8,1,5,6,7] => 0000000
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [4,3,2,1,5,6,8,7] => [4,3,2,8,1,5,6,7] => 0000000
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [4,8,1,2,3,5,6,7] => 0000000
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [2,3,1,4,5,6,8,7] => [2,3,8,1,4,5,6,7] => 0000000
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [3,2,1,4,5,6,8,7] => [3,2,8,1,4,5,6,7] => 0000000
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => [3,8,1,2,4,5,6,7] => 0000000
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => [2,8,1,3,4,5,6,7] => 0000000
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => 0000000
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [4,5,3,6,2,7,1,8] => [4,5,3,6,2,7,1,8] => 0000001
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [4,6,3,7,2,5,1,8] => [6,4,7,3,2,5,1,8] => 0000001
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [4,7,3,5,2,6,1,8] => [4,3,7,5,2,6,1,8] => 0000001
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => [5,3,7,2,6,4,1,8] => [3,5,7,2,6,4,1,8] => 0000001
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [6,3,7,2,5,4,1,8] => [6,3,7,2,5,4,1,8] => 0000001
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [7,4,3,5,2,6,1,8] => [4,3,5,2,7,6,1,8] => 0000001
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [7,4,3,6,2,5,1,8] => [4,7,3,2,6,5,1,8] => 0000001
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [7,3,5,2,6,4,1,8] => [3,2,7,5,6,4,1,8] => 0000001
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [7,3,6,2,5,4,1,8] => [3,7,6,2,5,4,1,8] => 0000001
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [6,4,7,2,5,3,1,8] => [4,2,6,7,5,3,1,8] => 0000001
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [3,5,6,7,4,2,1,8] => [7,4,6,2,5,3,1,8] => [4,7,2,6,5,3,1,8] => 0000001
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [5,6,3,2,7,4,1,8] => [5,3,2,6,7,4,1,8] => 0000001
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [5,6,2,7,4,3,1,8] => [2,5,6,7,4,3,1,8] => 0000001
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [3,6,4,2,7,5,1,8] => [3,6,4,7,2,5,1,8] => 0000001
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [6,4,2,7,5,3,1,8] => [2,4,6,7,5,3,1,8] => 0000001
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [4,3,7,5,2,6,1,8] => [7,4,3,5,2,6,1,8] => 0000001
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [7,3,4,2,6,5,1,8] => [3,4,7,2,6,5,1,8] => 0000001
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => [4,7,5,2,6,3,1,8] => [4,2,7,5,6,3,1,8] => 0000001
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8] => [4,7,2,6,5,3,1,8] => [7,4,6,2,5,3,1,8] => 0000001
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => [7,5,3,2,6,4,1,8] => [3,2,5,7,6,4,1,8] => 0000001
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [5,4,6,3,7,2,1,8] => [5,4,6,3,7,2,1,8] => 0000001
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [5,4,7,3,6,2,1,8] => [5,7,4,3,6,2,1,8] => 0000001
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [6,4,7,3,5,2,1,8] => [4,6,3,7,5,2,1,8] => 0000001
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [2,5,6,7,4,3,1,8] => [7,4,6,3,5,2,1,8] => [7,4,3,6,5,2,1,8] => 0000001
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [5,7,3,6,4,2,1,8] => [5,7,3,6,4,2,1,8] => 0000001
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [4,7,3,6,5,2,1,8] => [4,7,6,3,5,2,1,8] => 0000001
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [7,3,6,5,4,2,1,8] => [7,6,3,5,4,2,1,8] => 0000001
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [2,5,6,4,7,3,1,8] => [5,6,4,7,2,3,1,8] => 0000001
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [2,5,7,4,6,3,1,8] => [7,5,4,6,2,3,1,8] => 0000001
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [2,6,4,7,5,3,1,8] => [4,6,7,5,2,3,1,8] => 0000001
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [5,6,4,7,3,2,1,8] => [5,6,4,7,3,2,1,8] => 0000001
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [5,7,4,6,3,2,1,8] => [7,5,4,6,3,2,1,8] => 0000001
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [6,4,7,5,3,2,1,8] => [4,6,7,5,3,2,1,8] => 0000001
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [7,5,4,6,3,2,1,8] => [5,4,7,6,3,2,1,8] => 0000001
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [3,2,7,5,6,4,1,8] => [3,7,5,6,2,4,1,8] => 0000001
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [6,5,7,4,3,2,1,8] => [6,5,7,4,3,2,1,8] => 0000001
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [7,5,6,4,3,2,1,8] => [5,7,6,4,3,2,1,8] => 0000001
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [4,2,6,7,5,3,1,8] => [6,7,2,4,5,3,1,8] => 0000001
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => [6,7,5,2,4,3,1,8] => [2,6,7,5,4,3,1,8] => 0000001
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [2,4,6,7,5,3,1,8] => [6,7,4,5,2,3,1,8] => 0000001
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [3,2,6,7,5,4,1,8] => [6,7,3,5,2,4,1,8] => 0000001
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [6,7,5,4,2,3,1,8] => [6,2,7,5,4,3,1,8] => 0000001
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [6,7,5,4,3,2,1,8] => [6,7,5,4,3,2,1,8] => 0000001
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [4,3,5,2,7,6,1,8] => [4,3,5,7,2,6,1,8] => 0000001
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [3,6,5,4,2,7,1,8] => [4,5,2,7,6,3,1,8] => [4,7,2,5,6,3,1,8] => 0000001
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [3,7,6,2,5,4,1,8] => [3,7,6,5,2,4,1,8] => 0000001
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [7,6,3,2,5,4,1,8] => [3,7,2,6,5,4,1,8] => 0000001
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [7,6,2,5,4,3,1,8] => [7,6,2,5,4,3,1,8] => 0000001
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [7,6,4,3,5,2,1,8] => [4,3,7,6,5,2,1,8] => 0000001
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [2,4,5,6,3,7,1,8] => [7,6,3,5,4,2,1,8] => [7,3,6,5,4,2,1,8] => 0000001
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [2,5,4,7,6,3,1,8] => [5,7,4,6,2,3,1,8] => 0000001
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [7,6,4,5,3,2,1,8] => [4,7,6,5,3,2,1,8] => 0000001
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [5,7,6,4,2,3,1,8] => [7,5,2,6,4,3,1,8] => 0000001
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [3,5,7,6,4,2,1,8] => [7,5,6,3,4,2,1,8] => 0000001
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [5,7,6,4,3,2,1,8] => [7,5,6,4,3,2,1,8] => 0000001
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8] => [4,2,7,6,5,3,1,8] => [7,6,2,4,5,3,1,8] => 0000001
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => [4,3,7,6,5,2,1,8] => [7,4,6,3,5,2,1,8] => 0000001
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [4,7,6,5,3,2,1,8] => [7,6,4,5,3,2,1,8] => 0000001
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [3,2,7,6,5,4,1,8] => [7,6,3,5,2,4,1,8] => 0000001
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [7,6,5,4,2,3,1,8] => [2,7,6,5,4,3,1,8] => 0000001
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [2,4,3,5,6,7,1,8] => [3,7,6,5,4,2,1,8] => [7,6,5,3,4,2,1,8] => 0000001
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [2,7,6,5,4,3,1,8] => [7,6,5,4,2,3,1,8] => 0000001
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => 0000001
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [1,5,7,3,6,4,2,8] => [5,7,3,6,4,1,2,8] => 0000001
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [1,6,4,3,7,5,2,8] => [4,3,6,7,5,1,2,8] => 0000001
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [1,7,4,3,6,5,2,8] => [4,7,3,6,5,1,2,8] => 0000001
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [1,6,7,5,4,3,2,8] => [6,7,5,4,3,1,2,8] => 0000001
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [1,7,6,4,5,3,2,8] => [4,7,6,5,3,1,2,8] => 0000001
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [1,5,7,6,4,3,2,8] => [7,5,6,4,3,1,2,8] => 0000001
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,3,5,4,6,7,2,8] => [1,4,7,6,5,3,2,8] => [7,6,4,5,3,1,2,8] => 0000001
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [1,4,3,5,6,7,2,8] => [1,3,7,6,5,4,2,8] => [7,6,5,3,4,1,2,8] => 0000001
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [1,7,6,5,4,3,2,8] => [7,6,5,4,3,1,2,8] => 0000001
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [1,2,5,6,4,7,3,8] => [5,6,4,7,1,2,3,8] => 0000001
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [1,2,7,6,5,4,3,8] => [7,6,5,4,1,2,3,8] => 0000001
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [2,3,1,7,6,5,4,8] => [7,6,2,3,5,1,4,8] => 0000001
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,7,5,6,4,8] => [7,3,2,5,6,1,4,8] => 0000001
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [3,2,1,7,6,5,4,8] => [7,3,6,2,5,1,4,8] => 0000001
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [1,3,2,6,5,7,4,8] => [6,3,5,7,1,2,4,8] => 0000001
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [1,3,2,7,6,5,4,8] => [7,6,3,5,1,2,4,8] => 0000001
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [1,2,3,6,5,7,4,8] => [6,5,7,1,2,3,4,8] => 0000001
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [1,2,3,7,5,6,4,8] => [5,7,6,1,2,3,4,8] => 0000001
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [1,2,3,6,7,5,4,8] => [6,7,5,1,2,3,4,8] => 0000001
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [1,2,3,5,7,6,4,8] => [7,5,6,1,2,3,4,8] => 0000001
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [1,2,3,7,6,5,4,8] => [7,6,5,1,2,3,4,8] => 0000001
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [4,3,2,1,6,7,5,8] => [4,3,2,6,7,1,5,8] => 0000001
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [4,3,2,1,7,6,5,8] => [4,3,7,2,6,1,5,8] => 0000001
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [1,3,4,2,6,7,5,8] => [3,4,6,7,1,2,5,8] => 0000001
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [1,4,3,2,7,6,5,8] => [4,7,3,6,1,2,5,8] => 0000001
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [1,2,4,3,7,6,5,8] => [7,4,6,1,2,3,5,8] => 0000001
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [3,2,1,4,7,6,5,8] => [3,7,2,6,1,4,5,8] => 0000001
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [1,3,2,4,6,7,5,8] => [3,6,7,1,2,4,5,8] => 0000001
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,3,2,4,6,7,5,8] => [1,3,2,4,7,6,5,8] => [7,3,6,1,2,4,5,8] => 0000001
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [1,2,3,4,6,7,5,8] => [6,7,1,2,3,4,5,8] => 0000001
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [1,2,3,4,7,6,5,8] => [7,6,1,2,3,4,5,8] => 0000001
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [3,5,2,4,1,7,6,8] => [5,3,2,4,7,1,6,8] => 0000001
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [5,2,4,3,1,7,6,8] => [5,2,4,3,7,1,6,8] => 0000001
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [4,3,5,2,1,7,6,8] => [4,3,5,2,7,1,6,8] => 0000001
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [5,3,4,2,1,7,6,8] => [3,5,4,2,7,1,6,8] => 0000001
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [2,4,5,3,1,7,6,8] => [4,5,2,3,7,1,6,8] => 0000001
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [4,5,3,2,1,7,6,8] => [4,5,3,2,7,1,6,8] => 0000001
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [5,4,3,2,1,7,6,8] => [5,4,3,2,7,1,6,8] => 0000001
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [1,5,3,4,2,7,6,8] => [3,5,4,7,1,2,6,8] => 0000001
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [1,4,5,3,2,7,6,8] => [4,5,3,7,1,2,6,8] => 0000001
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [1,5,4,3,2,7,6,8] => [5,4,3,7,1,2,6,8] => 0000001
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [1,2,5,4,3,7,6,8] => [5,4,7,1,2,3,6,8] => 0000001
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [2,3,1,5,4,7,6,8] => [2,3,5,7,1,4,6,8] => 0000001
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [3,2,1,5,4,7,6,8] => [3,2,5,7,1,4,6,8] => 0000001
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [3,5,7,1,2,4,6,8] => 0000001
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [5,7,1,2,3,4,6,8] => 0000001
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [4,3,2,1,5,7,6,8] => [4,3,2,7,1,5,6,8] => 0000001
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [3,7,1,2,4,5,6,8] => 0000001
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [2,1,3,4,5,7,6,8] => [2,7,1,3,4,5,6,8] => 0000001
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [7,1,2,3,4,5,6,8] => 0000001
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [4,3,6,2,5,1,7,8] => [4,6,3,2,5,1,7,8] => 0000011
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [6,3,5,2,4,1,7,8] => [6,3,2,5,4,1,7,8] => 0000011
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [2,3,6,5,4,1,7,8] => [5,4,6,3,2,1,7,8] => [5,4,6,3,2,1,7,8] => 0000011
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [3,5,6,4,2,1,7,8] => [5,6,3,4,2,1,7,8] => 0000011
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [5,6,4,3,2,1,7,8] => [5,6,4,3,2,1,7,8] => 0000011
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8] => [4,2,6,5,3,1,7,8] => [6,2,4,5,3,1,7,8] => 0000011
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [6,5,2,4,3,1,7,8] => [6,2,5,4,3,1,7,8] => 0000011
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7,8] => 0000011
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => [1,5,3,6,4,2,7,8] => [3,5,6,4,1,2,7,8] => 0000011
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [1,6,4,3,5,2,7,8] => [4,3,6,5,1,2,7,8] => 0000011
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [1,6,4,5,3,2,7,8] => [4,6,5,3,1,2,7,8] => 0000011
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [1,3,5,6,4,2,7,8] => [5,6,3,4,1,2,7,8] => 0000011
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [1,4,3,6,5,2,7,8] => [4,6,3,5,1,2,7,8] => 0000011
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,3,5,4,6,2,7,8] => [1,4,6,5,3,2,7,8] => [6,4,5,3,1,2,7,8] => 0000011
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [1,6,5,4,3,2,7,8] => [6,5,4,3,1,2,7,8] => 0000011
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [2,1,6,4,5,3,7,8] => [2,6,4,5,1,3,7,8] => 0000011
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [1,2,6,5,4,3,7,8] => [6,5,4,1,2,3,7,8] => 0000011
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [2,3,1,5,6,4,7,8] => [2,3,5,6,1,4,7,8] => 0000011
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [3,2,1,5,6,4,7,8] => [3,2,5,6,1,4,7,8] => 0000011
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [3,2,1,6,5,4,7,8] => [3,6,2,5,1,4,7,8] => 0000011
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [3,2,4,1,6,5,7,8] => [3,2,4,6,1,5,7,8] => 0000011
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [4,3,2,1,6,5,7,8] => [4,3,2,6,1,5,7,8] => 0000011
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,1,4,3,6,5,7,8] => [2,4,6,1,3,5,7,8] => 0000011
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [4,6,1,2,3,5,7,8] => 0000011
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [1,3,2,4,6,5,7,8] => [3,6,1,2,4,5,7,8] => 0000011
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [2,1,3,4,6,5,7,8] => [2,6,1,3,4,5,7,8] => 0000011
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [6,1,2,3,4,5,7,8] => 0000011
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [3,4,2,5,1,6,7,8] => [3,4,2,5,1,6,7,8] => 0000111
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [3,5,2,4,1,6,7,8] => [5,3,2,4,1,6,7,8] => 0000111
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [4,2,5,3,1,6,7,8] => [2,4,5,3,1,6,7,8] => 0000111
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [5,3,2,4,1,6,7,8] => [3,2,5,4,1,6,7,8] => 0000111
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [5,2,4,3,1,6,7,8] => [5,2,4,3,1,6,7,8] => 0000111
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [4,3,5,2,1,6,7,8] => [4,3,5,2,1,6,7,8] => 0000111
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [5,3,4,2,1,6,7,8] => [3,5,4,2,1,6,7,8] => 0000111
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [2,4,5,3,1,6,7,8] => [4,5,2,3,1,6,7,8] => 0000111
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [4,5,3,2,1,6,7,8] => [4,5,3,2,1,6,7,8] => 0000111
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [3,2,5,4,1,6,7,8] => [3,5,2,4,1,6,7,8] => 0000111
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [5,4,2,3,1,6,7,8] => [2,5,4,3,1,6,7,8] => 0000111
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [3,5,4,2,1,6,7,8] => [5,3,4,2,1,6,7,8] => 0000111
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [2,5,4,3,1,6,7,8] => [5,4,2,3,1,6,7,8] => 0000111
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7,8] => 0000111
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [1,4,3,5,2,6,7,8] => [4,3,5,1,2,6,7,8] => 0000111
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [1,5,3,4,2,6,7,8] => [3,5,4,1,2,6,7,8] => 0000111
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,4,3,5,2,6,7,8] => [1,3,5,4,2,6,7,8] => [5,3,4,1,2,6,7,8] => 0000111
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [1,5,4,3,2,6,7,8] => [5,4,3,1,2,6,7,8] => 0000111
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [2,1,4,5,3,6,7,8] => [2,4,5,1,3,6,7,8] => 0000111
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [2,1,5,4,3,6,7,8] => [5,2,4,1,3,6,7,8] => 0000111
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [1,2,4,5,3,6,7,8] => [4,5,1,2,3,6,7,8] => 0000111
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,2,4,5,3,6,7,8] => [1,2,5,4,3,6,7,8] => [5,4,1,2,3,6,7,8] => 0000111
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [2,3,1,5,4,6,7,8] => [2,3,5,1,4,6,7,8] => 0000111
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [3,2,1,5,4,6,7,8] => [3,2,5,1,4,6,7,8] => 0000111
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [3,5,1,2,4,6,7,8] => 0000111
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => [2,1,3,5,4,6,7,8] => [2,5,1,3,4,6,7,8] => 0000111
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [5,1,2,3,4,6,7,8] => 0000111
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [3,2,4,1,5,6,7,8] => [3,2,4,1,5,6,7,8] => 0001111
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => [2,4,3,1,5,6,7,8] => 0001111
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [3,4,2,1,5,6,7,8] => [3,4,2,1,5,6,7,8] => 0001111
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [2,4,3,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => 0001111
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => 0001111
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [1,3,4,2,5,6,7,8] => [3,4,1,2,5,6,7,8] => 0001111
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => [4,3,1,2,5,6,7,8] => 0001111
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [2,1,4,3,5,6,7,8] => [2,4,1,3,5,6,7,8] => 0001111
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [4,1,2,3,5,6,7,8] => 0001111
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => 0011111
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => 0011111
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => 0011111
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => 0111111
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 1111111
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => 00000000
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 11111111
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [1,9,8,7,6,5,4,3,2] => [9,8,7,6,5,4,3,1,2] => 00000000
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [10,9,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,2,1] => 000000000
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 111111111
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9] => [2,4,6,8,10,1,3,5,7,9] => 000000000
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,4,6,8,10,12,1,3,5,7,9,11] => 00000000000
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [9,1,2,3,4,5,6,7,8] => 00000000
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [10,1,2,3,4,5,6,7,8,9] => 000000000
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [2,1,3,4,5,6,7,9,8] => [2,9,1,3,4,5,6,7,8] => 00000000
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => [11,1,2,3,4,5,6,7,8,9,10] => 0000000000
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [2,1,3,4,5,6,7,8,10,9] => [2,10,1,3,4,5,6,7,8,9] => 000000000
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [1,3,2,4,5,6,7,9,8] => [3,9,1,2,4,5,6,7,8] => 00000000
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [2,4,3,5,6,7,8,9,1] => [3,9,8,7,6,5,4,2,1] => [9,8,7,6,5,3,4,2,1] => 00000000
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [9,8,7,6,5,4,2,3,1] => [2,9,8,7,6,5,4,3,1] => 00000000
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [11,10,9,8,7,6,5,4,3,2,1] => [11,10,9,8,7,6,5,4,3,2,1] => 0000000000
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,8,7] => [9,8,1,2,3,4,5,6,7] => 00000000
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,8,7,6] => [9,8,7,1,2,3,4,5,6] => 00000000
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,8,7,6,5] => [9,8,7,6,1,2,3,4,5] => 00000000
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,8,7,6,5,4] => [9,8,7,6,5,1,2,3,4] => 00000000
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [1,2,9,8,7,6,5,4,3] => [9,8,7,6,5,4,1,2,3] => 00000000
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,9,7] => [8,9,1,2,3,4,5,6,7] => 00000000
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,10,9,8] => [10,9,1,2,3,4,5,6,7,8] => 000000000
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,7,9,8,6] => [9,7,8,1,2,3,4,5,6] => 00000000
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,10,9,8,7] => [10,9,8,1,2,3,4,5,6,7] => 000000000
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,4,7,6,8,9,5] => [1,2,3,4,6,9,8,7,5] => [9,8,6,7,1,2,3,4,5] => 00000000
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,10,9,8,7,6] => [10,9,8,7,1,2,3,4,5,6] => 000000000
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,2,3,6,5,7,8,9,4] => [1,2,3,5,9,8,7,6,4] => [9,8,7,5,6,1,2,3,4] => 00000000
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,10,9,8,7,6,5] => [10,9,8,7,6,1,2,3,4,5] => 000000000
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [1,2,5,4,6,7,8,9,3] => [1,2,4,9,8,7,6,5,3] => [9,8,7,6,4,5,1,2,3] => 00000000
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,10,9,8,7,6,5,4] => [10,9,8,7,6,5,1,2,3,4] => 000000000
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [1,3,9,8,7,6,5,4,2] => [9,8,7,6,5,3,4,1,2] => 00000000
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [1,2,10,9,8,7,6,5,4,3] => [10,9,8,7,6,5,4,1,2,3] => 000000000
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [1,10,9,8,7,6,5,4,3,2] => [10,9,8,7,6,5,4,3,1,2] => 000000000
[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,10,9,2] => [1,3,5,7,9,10,8,6,4,2] => [9,10,7,8,5,6,3,4,1,2] => 000000000
[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,10,9,12,11,2] => [1,3,5,7,9,11,12,10,8,6,4,2] => [11,12,9,10,7,8,5,6,3,4,1,2] => 00000000000
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [3,4,2,5,1,6,7,8,9] => [3,4,2,5,1,6,7,8,9] => 00001111
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9] => 00011111
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => 00111111
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => 01111111
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [1,3,4,2,5,6,7,8,9] => [3,4,1,2,5,6,7,8,9] => 00011111
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => 001111111
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => 00111111
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => 011111111
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [8,9,7,6,5,4,3,2,1] => [8,9,7,6,5,4,3,2,1] => 00000000
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => 0111111111
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [2,1,3,4,5,6,8,7,9] => [2,1,3,4,5,6,8,7,9] => [2,8,1,3,4,5,6,7,9] => 00000001
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [2,3,4,5,6,8,9,7,1] => [9,7,8,6,5,4,3,2,1] => [7,9,8,6,5,4,3,2,1] => 00000000
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [9,10,8,7,6,5,4,3,2,1] => [9,10,8,7,6,5,4,3,2,1] => 000000000
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [2,1,4,3,5,6,7,8,9] => [2,4,1,3,5,6,7,8,9] => 00011111
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [3,2,1,5,4,6,7,8,9] => [2,3,1,5,4,6,7,8,9] => [2,3,5,1,4,6,7,8,9] => 00001111
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1,9] => 00000001
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => 00111111
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8,9] => 00000011
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => 001111111
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9] => [3,4,2,1,5,6,7,8,9] => [3,4,2,1,5,6,7,8,9] => 00011111
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [2,3,5,4,1,6,7,8,9] => [4,5,3,2,1,6,7,8,9] => [4,5,3,2,1,6,7,8,9] => 00001111
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [2,3,4,6,5,1,7,8,9] => [5,6,4,3,2,1,7,8,9] => [5,6,4,3,2,1,7,8,9] => 00000111
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [2,3,4,5,7,6,1,8,9] => [6,7,5,4,3,2,1,8,9] => [6,7,5,4,3,2,1,8,9] => 00000011
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [2,3,4,5,6,8,7,1,9] => [7,8,6,5,4,3,2,1,9] => [7,8,6,5,4,3,2,1,9] => 00000001
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [9,8,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,2,1,10] => 000000001
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9] => 00011111
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => 00001111
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [1,2,3,4,6,5,7,8,9] => [6,1,2,3,4,5,7,8,9] => 00000111
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,7,6,8,9] => [7,1,2,3,4,5,6,8,9] => 00000011
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,8,7,9] => [8,1,2,3,4,5,6,7,9] => 00000001
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => 001111111
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [1,2,4,3,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => 000111111
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [1,2,3,5,4,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => 000011111
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,6,5,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => 000001111
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,7,6,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => 000000111
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [1,2,3,4,5,6,8,7,9,10] => [8,1,2,3,4,5,6,7,9,10] => 000000011
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [1,2,3,4,5,6,7,9,8,10] => [9,1,2,3,4,5,6,7,8,10] => 000000001
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [1,8,9,7,6,5,4,3,2] => [8,9,7,6,5,4,3,1,2] => 00000000
[.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,10,1] => [3,2,10,9,8,7,6,5,4,1] => [10,9,8,7,6,3,5,2,4,1] => 000000000
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => 1111111111
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [2,1,9,8,7,6,5,4,3] => [9,8,7,6,5,2,4,1,3] => 00000000
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [1,8,7,6,5,4,3,2,9] => [8,7,6,5,4,3,1,2,9] => 00000001
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,9,10,8] => [9,10,1,2,3,4,5,6,7,8] => 000000000
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [1,2,3,4,5,8,7,9,6] => [8,7,9,1,2,3,4,5,6] => 00000000
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [1,2,3,4,5,7,6,9,8] => [7,9,1,2,3,4,5,6,8] => 00000000
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9] => [1,2,3,4,5,6,8,7,10,9] => [8,10,1,2,3,4,5,6,7,9] => 000000000
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [4,2,3,1,5,6,7,8,9] => [2,4,3,1,5,6,7,8,9] => 00011111
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [2,3,1,5,4,6,7,8,9] => [3,2,1,5,4,6,7,8,9] => [3,2,5,1,4,6,7,8,9] => 00001111
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [7,6,5,4,3,2,1,9,8] => [7,6,5,4,3,2,9,1,8] => 00000000
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [1,4,3,2,5,6,7,8,9] => [4,3,1,2,5,6,7,8,9] => 00011111
[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,8,10,9,11] => [1,2,3,4,5,6,7,8,10,9,11] => [10,1,2,3,4,5,6,7,8,9,11] => 0000000001
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.
Map
Clarke-Steingrimsson-Zeng inverse
Description
The inverse of the Clarke-Steingrimsson-Zeng map, sending excedances to descents.
This is the inverse of the map $\Phi$ in [1, sec.3].
This is the inverse of the map $\Phi$ in [1, sec.3].
Map
inverse Foata bijection
Description
The inverse of Foata's bijection.
See Mp00067Foata bijection.
See Mp00067Foata bijection.
Map
connectivity set
Description
The connectivity set of a permutation as a binary word.
According to [2], also known as the global ascent set.
The connectivity set is
$$C(\pi)=\{i\in [n-1] | \forall 1 \leq j \leq i < k \leq n : \pi(j) < \pi(k)\}.$$
For $n > 1$ it can also be described as the set of occurrences of the mesh pattern
$$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$$
or equivalently
$$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$$
see [3].
The permutation is connected, when the connectivity set is empty.
According to [2], also known as the global ascent set.
The connectivity set is
$$C(\pi)=\{i\in [n-1] | \forall 1 \leq j \leq i < k \leq n : \pi(j) < \pi(k)\}.$$
For $n > 1$ it can also be described as the set of occurrences of the mesh pattern
$$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$$
or equivalently
$$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$$
see [3].
The permutation is connected, when the connectivity set is empty.
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