Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
[.,.] => [1] => [.,.]
[.,[.,.]] => [2,1] => [[.,.],.]
[[.,.],.] => [1,2] => [.,[.,.]]
[.,[.,[.,.]]] => [3,2,1] => [[[.,.],.],.]
[.,[[.,.],.]] => [2,3,1] => [[.,[.,.]],.]
[[.,.],[.,.]] => [1,3,2] => [.,[[.,.],.]]
[[.,[.,.]],.] => [2,1,3] => [[.,.],[.,.]]
[[[.,.],.],.] => [1,2,3] => [.,[.,[.,.]]]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [[[[.,.],.],.],.]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [[[.,[.,.]],.],.]
[.,[[.,.],[.,.]]] => [2,4,3,1] => [[.,[[.,.],.]],.]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [[[.,.],[.,.]],.]
[.,[[[.,.],.],.]] => [2,3,4,1] => [[.,[.,[.,.]]],.]
[[.,.],[.,[.,.]]] => [1,4,3,2] => [.,[[[.,.],.],.]]
[[.,.],[[.,.],.]] => [1,3,4,2] => [.,[[.,[.,.]],.]]
[[.,[.,.]],[.,.]] => [2,1,4,3] => [[.,.],[[.,.],.]]
[[[.,.],.],[.,.]] => [1,2,4,3] => [.,[.,[[.,.],.]]]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [[[.,.],.],[.,.]]
[[.,[[.,.],.]],.] => [2,3,1,4] => [[.,[.,.]],[.,.]]
[[[.,.],[.,.]],.] => [1,3,2,4] => [.,[[.,.],[.,.]]]
[[[.,[.,.]],.],.] => [2,1,3,4] => [[.,.],[.,[.,.]]]
[[[[.,.],.],.],.] => [1,2,3,4] => [.,[.,[.,[.,.]]]]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [[[[[.,.],.],.],.],.]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [[[[.,[.,.]],.],.],.]
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [[[.,[[.,.],.]],.],.]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [[[[.,.],[.,.]],.],.]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.]
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.]
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [[.,[[.,[.,.]],.]],.]
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [[[.,.],[[.,.],.]],.]
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [[.,[.,[[.,.],.]]],.]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [[[[.,.],.],[.,.]],.]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.]
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [[.,[[.,.],[.,.]]],.]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.]
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]]
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [.,[[[.,[.,.]],.],.]]
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [.,[[.,[[.,.],.]],.]]
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [.,[[[.,.],[.,.]],.]]
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [.,[[.,[.,[.,.]]],.]]
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]]
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [[.,.],[[.,[.,.]],.]]
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [.,[.,[[[.,.],.],.]]]
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [.,[.,[[.,[.,.]],.]]]
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [[[.,.],.],[[.,.],.]]
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [[.,[.,.]],[[.,.],.]]
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [.,[[.,.],[[.,.],.]]]
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [[.,.],[.,[[.,.],.]]]
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]]
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [[.,[[.,.],.]],[.,.]]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]]
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [.,[[[.,.],.],[.,.]]]
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [.,[[.,[.,.]],[.,.]]]
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [[.,.],[[.,.],[.,.]]]
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]]
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]]
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]]
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]]
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [[[[[.,[.,.]],.],.],.],.]
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [[[[.,[[.,.],.]],.],.],.]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [[[[[.,.],[.,.]],.],.],.]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [[[[.,[.,[.,.]]],.],.],.]
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.]
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [[[.,[[.,[.,.]],.]],.],.]
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [[[[.,.],[[.,.],.]],.],.]
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [[[.,[.,[[.,.],.]]],.],.]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [[[[[.,.],.],[.,.]],.],.]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [[[[.,[.,.]],[.,.]],.],.]
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [[[.,[[.,.],[.,.]]],.],.]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [[[[.,.],[.,[.,.]]],.],.]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [[[.,[.,[.,[.,.]]]],.],.]
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.]
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [[.,[[[.,[.,.]],.],.]],.]
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [[.,[[.,[[.,.],.]],.]],.]
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [[.,[[[.,.],[.,.]],.]],.]
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [[.,[[.,[.,[.,.]]],.]],.]
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.]
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [[[.,.],[[.,[.,.]],.]],.]
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [[.,[.,[[[.,.],.],.]]],.]
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [[.,[.,[[.,[.,.]],.]]],.]
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [[[[.,.],.],[[.,.],.]],.]
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [[[.,[.,.]],[[.,.],.]],.]
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [[.,[[.,.],[[.,.],.]]],.]
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [[[.,.],[.,[[.,.],.]]],.]
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [[.,[.,[.,[[.,.],.]]]],.]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [[[[[.,.],.],.],[.,.]],.]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [[[[.,[.,.]],.],[.,.]],.]
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [[[.,[[.,.],.]],[.,.]],.]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [[[[.,.],[.,.]],[.,.]],.]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [[[.,[.,[.,.]]],[.,.]],.]
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [[.,[[[.,.],.],[.,.]]],.]
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [[.,[[.,[.,.]],[.,.]]],.]
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [[[.,.],[[.,.],[.,.]]],.]
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [[.,[.,[[.,.],[.,.]]]],.]
>>> Load all 2026 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [[[[.,.],.],[.,[.,.]]],.]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [[[.,[.,.]],[.,[.,.]]],.]
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [[.,[[.,.],[.,[.,.]]]],.]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.]
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]]
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [.,[[[[.,[.,.]],.],.],.]]
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [.,[[[.,[[.,.],.]],.],.]]
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [.,[[[[.,.],[.,.]],.],.]]
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [.,[[[.,[.,[.,.]]],.],.]]
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [.,[[.,[[[.,.],.],.]],.]]
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [.,[[.,[[.,[.,.]],.]],.]]
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [.,[[[.,.],[[.,.],.]],.]]
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [.,[[.,[.,[[.,.],.]]],.]]
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [.,[[[[.,.],.],[.,.]],.]]
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [.,[[[.,[.,.]],[.,.]],.]]
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [.,[[.,[[.,.],[.,.]]],.]]
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [.,[[[.,.],[.,[.,.]]],.]]
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [.,[[.,[.,[.,[.,.]]]],.]]
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]]
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [[.,.],[[[.,[.,.]],.],.]]
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [[.,.],[[.,[[.,.],.]],.]]
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [[.,.],[[[.,.],[.,.]],.]]
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [[.,.],[[.,[.,[.,.]]],.]]
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]]
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [.,[.,[[[.,[.,.]],.],.]]]
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [.,[.,[[.,[[.,.],.]],.]]]
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [.,[.,[[[.,.],[.,.]],.]]]
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [.,[.,[[.,[.,[.,.]]],.]]]
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]]
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [[[.,.],.],[[.,[.,.]],.]]
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [[.,[.,.]],[[[.,.],.],.]]
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [[.,[.,.]],[[.,[.,.]],.]]
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]]
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [.,[[.,.],[[.,[.,.]],.]]]
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [[.,.],[.,[[[.,.],.],.]]]
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [[.,.],[.,[[.,[.,.]],.]]]
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]]
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [.,[.,[.,[[.,[.,.]],.]]]]
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]]
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [[[.,[.,.]],.],[[.,.],.]]
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [[.,[[.,.],.]],[[.,.],.]]
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [[[.,.],[.,.]],[[.,.],.]]
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [[.,[.,[.,.]]],[[.,.],.]]
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]]
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [.,[[.,[.,.]],[[.,.],.]]]
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]]
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]]
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [[[.,.],.],[.,[[.,.],.]]]
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [[.,[.,.]],[.,[[.,.],.]]]
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]]
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]]
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [[[[.,[.,.]],.],.],[.,.]]
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [[[.,[[.,.],.]],.],[.,.]]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [[[[.,.],[.,.]],.],[.,.]]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [[[.,[.,[.,.]]],.],[.,.]]
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [[.,[[[.,.],.],.]],[.,.]]
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [[.,[[.,[.,.]],.]],[.,.]]
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [[[.,.],[[.,.],.]],[.,.]]
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [[.,[.,[[.,.],.]]],[.,.]]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [[[[.,.],.],[.,.]],[.,.]]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [[[.,[.,.]],[.,.]],[.,.]]
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [[.,[[.,.],[.,.]]],[.,.]]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]]
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]]
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [.,[[[.,[.,.]],.],[.,.]]]
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [.,[[.,[[.,.],.]],[.,.]]]
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [.,[[[.,.],[.,.]],[.,.]]]
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [.,[[.,[.,[.,.]]],[.,.]]]
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [[.,.],[[[.,.],.],[.,.]]]
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [[.,.],[[.,[.,.]],[.,.]]]
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]]
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [.,[.,[[.,[.,.]],[.,.]]]]
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [[[.,.],.],[[.,.],[.,.]]]
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [[.,[.,.]],[[.,.],[.,.]]]
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]]
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]]
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [[[.,[.,.]],.],[.,[.,.]]]
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [[.,[[.,.],.]],[.,[.,.]]]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]]
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]]
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [.,[[.,[.,.]],[.,[.,.]]]]
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]]
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]]
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]]
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]]
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [[[[[[.,[.,.]],.],.],.],.],.]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [[[[[.,[[.,.],.]],.],.],.],.]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [[[[[[.,.],[.,.]],.],.],.],.]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [[[[[.,[.,[.,.]]],.],.],.],.]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [[[[.,[[[.,.],.],.]],.],.],.]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [[[[.,[[.,[.,.]],.]],.],.],.]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [[[[.,[.,[[.,.],.]]],.],.],.]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [[[[[.,[.,.]],[.,.]],.],.],.]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [[[[.,[[.,.],[.,.]]],.],.],.]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [[[[[.,.],[.,[.,.]]],.],.],.]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [[[[.,[.,[.,[.,.]]]],.],.],.]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [[[.,[[[.,[.,.]],.],.]],.],.]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [[[.,[[.,[[.,.],.]],.]],.],.]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [[[.,[[[.,.],[.,.]],.]],.],.]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [[[.,[[.,[.,[.,.]]],.]],.],.]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [[[[.,.],[[[.,.],.],.]],.],.]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [[[[.,.],[[.,[.,.]],.]],.],.]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [[[.,[.,[[[.,.],.],.]]],.],.]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [[[.,[.,[[.,[.,.]],.]]],.],.]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [[[[[.,.],.],[[.,.],.]],.],.]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [[[.,[[.,.],[[.,.],.]]],.],.]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [[[.,[.,[.,[[.,.],.]]]],.],.]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [[[[[[.,.],.],.],[.,.]],.],.]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [[[[.,[.,[.,.]]],[.,.]],.],.]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [[[.,[[[.,.],.],[.,.]]],.],.]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [[[.,[[.,[.,.]],[.,.]]],.],.]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [[[.,[.,[[.,.],[.,.]]]],.],.]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [[[.,[[.,.],[.,[.,.]]]],.],.]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [[[[.,.],[.,[.,[.,.]]]],.],.]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [[[.,[.,[.,[.,[.,.]]]]],.],.]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [[.,[[[[.,[.,.]],.],.],.]],.]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [[.,[[[.,[[.,.],.]],.],.]],.]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [[.,[[[[.,.],[.,.]],.],.]],.]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [[.,[[[.,[.,[.,.]]],.],.]],.]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [[.,[[.,[[[.,.],.],.]],.]],.]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [[.,[[.,[[.,[.,.]],.]],.]],.]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [[.,[[[.,.],[[.,.],.]],.]],.]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [[.,[[.,[.,[[.,.],.]]],.]],.]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [[.,[[[[.,.],.],[.,.]],.]],.]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [[.,[[[.,[.,.]],[.,.]],.]],.]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [[.,[[.,[[.,.],[.,.]]],.]],.]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [[.,[[[.,.],[.,[.,.]]],.]],.]
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [[.,[[.,[.,[.,[.,.]]]],.]],.]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [[[.,.],[[[.,[.,.]],.],.]],.]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [[[.,.],[[.,[[.,.],.]],.]],.]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [[[.,.],[[[.,.],[.,.]],.]],.]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [[[.,.],[[.,[.,[.,.]]],.]],.]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [[.,[.,[[[[.,.],.],.],.]]],.]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [[.,[.,[[[.,[.,.]],.],.]]],.]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [[.,[.,[[.,[[.,.],.]],.]]],.]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [[.,[.,[[[.,.],[.,.]],.]]],.]
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [[.,[.,[[.,[.,[.,.]]],.]]],.]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [[[[.,.],.],[[.,[.,.]],.]],.]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [[[.,[.,.]],[[[.,.],.],.]],.]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [[[.,[.,.]],[[.,[.,.]],.]],.]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [[.,[[.,.],[[[.,.],.],.]]],.]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [[.,[[.,.],[[.,[.,.]],.]]],.]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [[[.,.],[.,[[[.,.],.],.]]],.]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [[[.,.],[.,[[.,[.,.]],.]]],.]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [[.,[.,[.,[[[.,.],.],.]]]],.]
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [[.,[.,[.,[[.,[.,.]],.]]]],.]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [[[[[.,.],.],.],[[.,.],.]],.]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [[[[.,[.,.]],.],[[.,.],.]],.]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [[[.,[[.,.],.]],[[.,.],.]],.]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [[[[.,.],[.,.]],[[.,.],.]],.]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [[[.,[.,[.,.]]],[[.,.],.]],.]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [[.,[[[.,.],.],[[.,.],.]]],.]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [[.,[[.,[.,.]],[[.,.],.]]],.]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [[[.,.],[[.,.],[[.,.],.]]],.]
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[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [[[[.,.],.],[.,[[.,.],.]]],.]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [[[.,[.,.]],[.,[[.,.],.]]],.]
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[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],[.,.]],.]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [[[[[.,[.,.]],.],.],[.,.]],.]
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[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [.,[[[[[.,[.,.]],.],.],.],.]]
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[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [.,[[[[[.,.],[.,.]],.],.],.]]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [.,[[[[.,[.,[.,.]]],.],.],.]]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [.,[[[.,[[[.,.],.],.]],.],.]]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [.,[[[.,[[.,[.,.]],.]],.],.]]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [.,[[[[.,.],[[.,.],.]],.],.]]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [.,[[[.,[.,[[.,.],.]]],.],.]]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [.,[[[[.,[.,.]],[.,.]],.],.]]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [.,[[[.,[[.,.],[.,.]]],.],.]]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [.,[[[[.,.],[.,[.,.]]],.],.]]
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [.,[[[.,[.,[.,[.,.]]]],.],.]]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [.,[[.,[[[[.,.],.],.],.]],.]]
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[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [.,[.,[[[.,[.,.]],.],[.,.]]]]
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[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [[[[.,[[[.,.],.],[.,.]]],.],.],.]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [[[[[.,.],[[.,.],[.,.]]],.],.],.]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [[[[[[.,.],.],[.,[.,.]]],.],.],.]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [[[.,[[[[[.,.],.],.],.],.]],.],.]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [[[.,[[[[.,[.,.]],.],.],.]],.],.]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [[[.,[[[.,[[.,.],.]],.],.]],.],.]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [[[.,[[[[.,.],[.,.]],.],.]],.],.]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [[[.,[[.,[[[.,.],.],.]],.]],.],.]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [[[.,[[[[.,.],.],[.,.]],.]],.],.]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.]
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[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [[[[.,.],[[[[.,.],.],.],.]],.],.]
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[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [[[[[.,.],.],[[.,[.,.]],.]],.],.]
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[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [[[[[[.,.],.],.],[[.,.],.]],.],.]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => [[[[[.,[.,.]],.],[[.,.],.]],.],.]
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[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [[[[.,.],[[.,.],[[.,.],.]]],.],.]
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[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.]
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [[[[[[.,[.,.]],.],.],[.,.]],.],.]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [[[[[.,[[.,.],.]],.],[.,.]],.],.]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [[[[[.,[.,[.,.]]],.],[.,.]],.],.]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => [[[[[.,.],[[.,.],.]],[.,.]],.],.]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [[[.,[[[[.,.],.],.],[.,.]]],.],.]
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [[[[.,.],[[[.,.],.],[.,.]]],.],.]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [[[.,[.,[[[.,.],.],[.,.]]]],.],.]
[.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.]
[.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [3,5,6,4,7,8,2,1] => [[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1] => [[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1] => [[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [[.,[[[[[[.,.],.],.],.],.],.]],.]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [[.,[[[[[.,[.,.]],.],.],.],.]],.]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [[.,[[[[.,[[.,.],.]],.],.],.]],.]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [[.,[[[[[.,.],[.,.]],.],.],.]],.]
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [[.,[[[.,[[[.,.],.],.]],.],.]],.]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [[.,[[[[.,[.,.]],[.,.]],.],.]],.]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [[.,[[.,[[[[.,.],.],.],.]],.]],.]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [[.,[[[.,.],[[[.,.],.],.]],.]],.]
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [[.,[[[[.,.],.],[[.,.],.]],.]],.]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.]
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[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [[.,[[[[[.,.],.],.],[.,.]],.]],.]
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[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [[.,[[[.,.],[[.,.],[.,.]]],.]],.]
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [[.,[[[[.,.],.],[.,[.,.]]],.]],.]
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[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
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[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [[[.,.],[[[[[.,.],.],.],.],.]],.]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [[[.,.],[[[.,[[.,.],.]],.],.]],.]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.]
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[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [[[.,.],[[.,[[.,.],[.,.]]],.]],.]
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[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [[.,[.,[[[[.,.],.],[.,.]],.]]],.]
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [[[[.,.],.],[[[.,[.,.]],.],.]],.]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [4,3,2,6,8,7,5,1] => [[[[.,.],.],[[.,[[.,.],.]],.]],.]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [[[.,[.,.]],[[[[.,.],.],.],.]],.]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [[.,[[.,.],[[[[.,.],.],.],.]]],.]
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[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [[[.,.],[.,[[[[.,.],.],.],.]]],.]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.]
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[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.]
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[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [4,3,5,2,8,7,6,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.]
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[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.]
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [[[[.,.],.],[.,[[[.,.],.],.]]],.]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [[[[[[.,.],.],.],.],[[.,.],.]],.]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [[[[.,[[.,.],.]],.],[[.,.],.]],.]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [[[[[.,.],[.,.]],.],[[.,.],.]],.]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [[.,[[[[.,.],.],.],[[.,.],.]]],.]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.]
[.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.]
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [3,4,2,6,5,8,7,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [[[[[.,.],.],.],[.,[[.,.],.]]],.]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [[[[[[.,[.,.]],.],.],.],[.,.]],.]
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [[[[[.,[[.,.],.]],.],.],[.,.]],.]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => [[[[.,[[[.,.],.],.]],.],[.,.]],.]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.]
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.]
[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [3,4,5,7,6,2,8,1] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [3,5,4,6,7,2,8,1] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [[.,[[[[[.,.],.],.],.],[.,.]]],.]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [[[.,.],[[[[.,.],.],.],[.,.]]],.]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [[.,[.,[[[[.,.],.],.],[.,.]]]],.]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [[[[.,.],.],[[[.,.],.],[.,.]]],.]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [4,3,2,6,7,5,8,1] => [[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [3,4,2,7,6,5,8,1] => [[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [[.,[[.,.],[[[.,.],.],[.,.]]]],.]
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => [[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.]
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.]
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[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [3,5,4,6,2,7,8,1] => [[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
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[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => [[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
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[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
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[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [4,3,2,6,5,7,8,1] => [[[[.,.],.],[[.,.],[.,[.,.]]]],.]
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[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [.,[[[[[[[.,.],.],.],.],.],.],.]]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [.,[[[[[[.,[.,.]],.],.],.],.],.]]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [.,[[[[[.,[[.,.],.]],.],.],.],.]]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [.,[[[[[[.,.],[.,.]],.],.],.],.]]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [.,[[[[.,[[[.,.],.],.]],.],.],.]]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [.,[[[[[.,.],[[.,.],.]],.],.],.]]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [.,[[[[[[.,.],.],[.,.]],.],.],.]]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [.,[[[.,[[[[.,.],.],.],.]],.],.]]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]]
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]]
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[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [[[[.,[[.,.],[.,.]]],.],.],[.,.]]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [[[.,[[.,[[.,.],.]],.]],.],[.,.]]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [3,5,6,7,4,2,1,8] => [[[.,[[.,[.,[.,.]]],.]],.],[.,.]]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [[[[.,.],[[[.,.],.],.]],.],[.,.]]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [[[[[.,.],.],[[.,.],.]],.],[.,.]]
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [[[[[[.,.],.],.],[.,.]],.],[.,.]]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [[.,[[[[[.,.],.],.],.],.]],[.,.]]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [[.,[[[[.,[.,.]],.],.],.]],[.,.]]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [2,5,6,7,4,3,1,8] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]]
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [[[.,.],[[[[.,.],.],.],.]],[.,.]]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [[[.,.],[[[.,[.,.]],.],.]],[.,.]]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [[[.,.],[[.,[[.,.],.]],.]],[.,.]]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [[[.,.],[[[.,.],[.,.]],.]],[.,.]]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [[[.,.],[[.,[.,[.,.]]],.]],[.,.]]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [[.,[.,[[[[.,.],.],.],.]]],[.,.]]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [[.,[.,[[[.,.],[.,.]],.]]],[.,.]]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [[[[[.,.],.],.],[[.,.],.]],[.,.]]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => [[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [[[[[[.,.],.],.],.],[.,.]],[.,.]]
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [3,4,6,5,2,7,1,8] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [2,4,5,6,3,7,1,8] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [2,4,3,5,6,7,1,8] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [.,[[[[[[.,.],.],.],.],.],[.,.]]]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]]
[[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]]
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,4,5,6,3,7,2,8] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [1,4,3,5,6,7,2,8] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [[.,.],[[[[[.,.],.],.],.],[.,.]]]
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [2,1,5,4,6,7,3,8] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]]
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,2,4,6,5,7,3,8] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [3,2,1,6,5,7,4,8] => [[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [[[[.,.],.],.],[[[.,.],.],[.,.]]]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
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[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
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[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [[[[[.,.],.],.],.],[[.,.],[.,.]]]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [[[.,[[.,.],.]],.],[[.,.],[.,.]]]
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[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]]
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[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]]
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[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
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[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
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[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [3,5,6,7,8,9,4,2,1] => [[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [[[[[[[[.,.],.],[.,.]],.],.],.],.],.]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [[[[[[[[.,.],.],.],[.,.]],.],.],.],.]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [[[[[[[[.,.],.],.],.],[.,.]],.],.],.]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [6,8,7,9,5,4,3,2,1] => [[[[[[.,[[.,.],[.,.]]],.],.],.],.],.]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.]
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [5,8,7,6,9,4,3,2,1] => [[[[[.,[[[.,.],.],[.,.]]],.],.],.],.]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [4,8,7,6,5,9,3,2,1] => [[[[.,[[[[.,.],.],.],[.,.]]],.],.],.]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [3,8,7,6,5,4,9,2,1] => [[[.,[[[[[.,.],.],.],.],[.,.]]],.],.]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [2,8,7,6,5,4,3,9,1] => [[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [1,6,7,5,8,4,9,3,10,2] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,10,9,1] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,1,4,6,5,3,8,10,9,7] => [[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [2,1,4,6,5,3,8,7,10,9] => [[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,9,8,1,10] => [[[.,.],[[.,.],[[.,.],[[.,.],.]]]],[.,.]]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,10,9,12,11,1] => [[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.]
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3,8,7,10,12,11,9] => [[.,.],[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]]
[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,10,9,7,12,11] => [[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]]
[[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,1,4,6,5,3,8,7,10,9,12,11] => [[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]]
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,9,8,11,10,1,12] => [[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],[.,.]]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [2,3,1,4,5,6,7,9,8] => [[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [2,4,3,5,6,7,8,9,1] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => [.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,4,7,6,8,9,5] => [.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,2,3,6,5,7,8,9,4] => [.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [1,2,5,4,6,7,8,9,3] => [.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.]
[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [5,4,7,6,8,3,9,2,10,1] => [[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],.]
[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [4,3,7,6,8,5,9,2,10,1] => [[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],.]
[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [5,4,6,3,8,7,9,2,10,1] => [[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],.]
[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [4,3,6,5,8,7,9,2,10,1] => [[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],.]
[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [3,2,7,6,8,5,9,4,10,1] => [[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],.]
[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [3,2,6,5,8,7,9,4,10,1] => [[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],.]
[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [4,3,5,2,8,7,9,6,10,1] => [[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],.]
[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [3,2,5,4,8,7,9,6,10,1] => [[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],.]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [5,4,6,3,7,2,9,8,10,1] => [[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],.]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [4,3,6,5,7,2,9,8,10,1] => [[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],.]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [3,2,6,5,7,4,9,8,10,1] => [[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [4,3,5,2,7,6,9,8,10,1] => [[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],.]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,9,8,10,1] => [[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [2,1,7,6,8,5,9,4,10,3] => [[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],.]]
[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [2,1,6,5,8,7,9,4,10,3] => [[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],.]]
[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [2,1,5,4,8,7,9,6,10,3] => [[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],.]]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [2,1,6,5,7,4,9,8,10,3] => [[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],.]]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [2,1,5,4,7,6,9,8,10,3] => [[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],.]]
[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [3,2,4,1,8,7,9,6,10,5] => [[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],.]]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [3,2,4,1,7,6,9,8,10,5] => [[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],.]]
[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,4,3,8,7,9,6,10,5] => [[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],.]]]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,4,3,7,6,9,8,10,5] => [[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],.]]]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [4,3,5,2,6,1,9,8,10,7] => [[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],.]]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [3,2,5,4,6,1,9,8,10,7] => [[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],.]]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [2,1,5,4,6,3,9,8,10,7] => [[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],.]]]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [3,2,4,1,6,5,9,8,10,7] => [[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],.]]]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,6,5,9,8,10,7] => [[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [5,4,6,3,7,2,8,1,10,9] => [[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],.]]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [4,3,6,5,7,2,8,1,10,9] => [[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],.]]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [3,2,6,5,7,4,8,1,10,9] => [[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],.]]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [4,3,5,2,7,6,8,1,10,9] => [[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],.]]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,7,6,8,1,10,9] => [[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],.]]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [2,1,6,5,7,4,8,3,10,9] => [[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],.]]]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [2,1,5,4,7,6,8,3,10,9] => [[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [3,2,4,1,7,6,8,5,10,9] => [[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],.]]]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,4,3,7,6,8,5,10,9] => [[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [4,3,5,2,6,1,8,7,10,9] => [[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],.]]]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [3,2,5,4,6,1,8,7,10,9] => [[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],.]]]
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [2,1,5,4,6,3,8,7,10,9] => [[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],.]]]]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7,10,9] => [[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],.]]]]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]
[.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]] => [6,5,8,7,9,4,10,3,11,2,12,1] => [[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],.]
[.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]] => [5,4,8,7,9,6,10,3,11,2,12,1] => [[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]],.]
[.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]] => [6,5,7,4,9,8,10,3,11,2,12,1] => [[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],.]
[.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]] => [5,4,7,6,9,8,10,3,11,2,12,1] => [[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]],.]
[.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]] => [4,3,8,7,9,6,10,5,11,2,12,1] => [[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]],.]
[.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]] => [4,3,7,6,9,8,10,5,11,2,12,1] => [[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]],.]
[.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]] => [5,4,6,3,9,8,10,7,11,2,12,1] => [[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],.]
[.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]] => [4,3,6,5,9,8,10,7,11,2,12,1] => [[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]],.]
[.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]] => [6,5,7,4,8,3,10,9,11,2,12,1] => [[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],.]
[.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]] => [5,4,7,6,8,3,10,9,11,2,12,1] => [[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]],.]
[.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]] => [4,3,7,6,8,5,10,9,11,2,12,1] => [[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]],.]
[.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]] => [5,4,6,3,8,7,10,9,11,2,12,1] => [[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]],.]
[.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]] => [4,3,6,5,8,7,10,9,11,2,12,1] => [[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]],.]
[.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [3,2,8,7,9,6,10,5,11,4,12,1] => [[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],.]
[.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [3,2,7,6,9,8,10,5,11,4,12,1] => [[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]],.]
[.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [3,2,6,5,9,8,10,7,11,4,12,1] => [[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]],.]
[.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [3,2,7,6,8,5,10,9,11,4,12,1] => [[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],.]
[.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [3,2,6,5,8,7,10,9,11,4,12,1] => [[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]],.]
[.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]] => [4,3,5,2,9,8,10,7,11,6,12,1] => [[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],.]
[.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]] => [4,3,5,2,8,7,10,9,11,6,12,1] => [[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]],.]
[.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [3,2,5,4,9,8,10,7,11,6,12,1] => [[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]],.]
[.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [3,2,5,4,8,7,10,9,11,6,12,1] => [[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]],.]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]] => [5,4,6,3,7,2,10,9,11,8,12,1] => [[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]],.]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]] => [4,3,6,5,7,2,10,9,11,8,12,1] => [[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]],.]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,10,9,11,8,12,1] => [[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],.]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]] => [4,3,5,2,7,6,10,9,11,8,12,1] => [[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]],.]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [3,2,5,4,7,6,10,9,11,8,12,1] => [[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]],.]
[.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]] => [6,5,7,4,8,3,9,2,11,10,12,1] => [[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],.]
[.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]] => [5,4,7,6,8,3,9,2,11,10,12,1] => [[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]],.]
[.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]] => [4,3,7,6,8,5,9,2,11,10,12,1] => [[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]],.]
[.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]] => [5,4,6,3,8,7,9,2,11,10,12,1] => [[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],.]
[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [4,3,6,5,8,7,9,2,11,10,12,1] => [[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]],.]
[.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [3,2,7,6,8,5,9,4,11,10,12,1] => [[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],.]
[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [3,2,6,5,8,7,9,4,11,10,12,1] => [[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]],.]
[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,8,7,9,6,11,10,12,1] => [[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]
[.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [3,2,5,4,8,7,9,6,11,10,12,1] => [[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]],.]
[.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]] => [5,4,6,3,7,2,9,8,11,10,12,1] => [[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]],.]
[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [4,3,6,5,7,2,9,8,11,10,12,1] => [[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]],.]
[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [3,2,6,5,7,4,9,8,11,10,12,1] => [[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]],.]
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [4,3,5,2,7,6,9,8,11,10,12,1] => [[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]
[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,9,8,11,10,12,1] => [[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],.]
[[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [2,1,8,7,9,6,10,5,11,4,12,3] => [[.,.],[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.]]
[[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [2,1,7,6,9,8,10,5,11,4,12,3] => [[.,.],[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],.]]
[[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [2,1,6,5,9,8,10,7,11,4,12,3] => [[.,.],[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],.]]
[[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [2,1,7,6,8,5,10,9,11,4,12,3] => [[.,.],[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],.]]
[[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [2,1,6,5,8,7,10,9,11,4,12,3] => [[.,.],[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],.]]
[[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [2,1,5,4,9,8,10,7,11,6,12,3] => [[.,.],[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],.]]
[[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [2,1,5,4,8,7,10,9,11,6,12,3] => [[.,.],[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],.]]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,10,9,11,8,12,3] => [[.,.],[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],.]]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [2,1,5,4,7,6,10,9,11,8,12,3] => [[.,.],[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],.]]
[[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [2,1,7,6,8,5,9,4,11,10,12,3] => [[.,.],[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],.]]
[[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [2,1,6,5,8,7,9,4,11,10,12,3] => [[.,.],[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],.]]
[[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [2,1,5,4,8,7,9,6,11,10,12,3] => [[.,.],[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]]
[[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [2,1,6,5,7,4,9,8,11,10,12,3] => [[.,.],[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],.]]
[[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [2,1,5,4,7,6,9,8,11,10,12,3] => [[.,.],[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]]
[[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [3,2,4,1,9,8,10,7,11,6,12,5] => [[[.,.],[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],.]]
[[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [3,2,4,1,8,7,10,9,11,6,12,5] => [[[.,.],[.,.]],[[[[.,.],[[.,.],[.,.]]],[.,.]],.]]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,4,1,7,6,10,9,11,8,12,5] => [[[.,.],[.,.]],[[[.,.],[[[.,.],[.,.]],[.,.]]],.]]
[[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [3,2,4,1,8,7,9,6,11,10,12,5] => [[[.,.],[.,.]],[[[[.,.],[.,.]],[[.,.],[.,.]]],.]]
[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,4,1,7,6,9,8,11,10,12,5] => [[[.,.],[.,.]],[[[.,.],[[.,.],[[.,.],[.,.]]]],.]]
[[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [2,1,4,3,9,8,10,7,11,6,12,5] => [[.,.],[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],.]]]
[[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [2,1,4,3,8,7,10,9,11,6,12,5] => [[.,.],[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],.]]]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [2,1,4,3,7,6,10,9,11,8,12,5] => [[.,.],[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],.]]]
[[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [2,1,4,3,8,7,9,6,11,10,12,5] => [[.,.],[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],.]]]
[[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [2,1,4,3,7,6,9,8,11,10,12,5] => [[.,.],[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],.]]]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1,10,9,11,8,12,7] => [[[[.,.],[.,.]],[.,.]],[[[[.,.],[.,.]],[.,.]],.]]
[[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]] => [4,3,5,2,6,1,9,8,11,10,12,7] => [[[[.,.],[.,.]],[.,.]],[[[.,.],[[.,.],[.,.]]],.]]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [3,2,5,4,6,1,10,9,11,8,12,7] => [[[.,.],[[.,.],[.,.]]],[[[[.,.],[.,.]],[.,.]],.]]
[[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1,9,8,11,10,12,7] => [[[.,.],[[.,.],[.,.]]],[[[.,.],[[.,.],[.,.]]],.]]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [2,1,5,4,6,3,10,9,11,8,12,7] => [[.,.],[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],.]]]
[[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,6,3,9,8,11,10,12,7] => [[.,.],[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],.]]]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [3,2,4,1,6,5,10,9,11,8,12,7] => [[[.,.],[.,.]],[[.,.],[[[[.,.],[.,.]],[.,.]],.]]]
[[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [3,2,4,1,6,5,9,8,11,10,12,7] => [[[.,.],[.,.]],[[.,.],[[[.,.],[[.,.],[.,.]]],.]]]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,4,3,6,5,10,9,11,8,12,7] => [[.,.],[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],.]]]]
[[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,4,3,6,5,9,8,11,10,12,7] => [[.,.],[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],.]]]]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]] => [5,4,6,3,7,2,8,1,11,10,12,9] => [[[[[.,.],[.,.]],[.,.]],[.,.]],[[[.,.],[.,.]],.]]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]] => [4,3,6,5,7,2,8,1,11,10,12,9] => [[[[.,.],[[.,.],[.,.]]],[.,.]],[[[.,.],[.,.]],.]]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [3,2,6,5,7,4,8,1,11,10,12,9] => [[[.,.],[[[.,.],[.,.]],[.,.]]],[[[.,.],[.,.]],.]]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [4,3,5,2,7,6,8,1,11,10,12,9] => [[[[.,.],[.,.]],[[.,.],[.,.]]],[[[.,.],[.,.]],.]]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [3,2,5,4,7,6,8,1,11,10,12,9] => [[[.,.],[[.,.],[[.,.],[.,.]]]],[[[.,.],[.,.]],.]]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [2,1,6,5,7,4,8,3,11,10,12,9] => [[.,.],[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],.]]]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [2,1,5,4,7,6,8,3,11,10,12,9] => [[.,.],[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],.]]]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5,11,10,12,9] => [[[.,.],[.,.]],[[[.,.],[.,.]],[[[.,.],[.,.]],.]]]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5,11,10,12,9] => [[.,.],[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],.]]]]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]] => [4,3,5,2,6,1,8,7,11,10,12,9] => [[[[.,.],[.,.]],[.,.]],[[.,.],[[[.,.],[.,.]],.]]]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [3,2,5,4,6,1,8,7,11,10,12,9] => [[[.,.],[[.,.],[.,.]]],[[.,.],[[[.,.],[.,.]],.]]]
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3,8,7,11,10,12,9] => [[.,.],[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],.]]]]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [3,2,4,1,6,5,8,7,11,10,12,9] => [[[.,.],[.,.]],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,6,5,8,7,11,10,12,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]]
[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]] => [6,5,7,4,8,3,9,2,10,1,12,11] => [[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],.]]
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]] => [5,4,7,6,8,3,9,2,10,1,12,11] => [[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],.]]
[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]] => [4,3,7,6,8,5,9,2,10,1,12,11] => [[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],[[.,.],.]]
[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]] => [5,4,6,3,8,7,9,2,10,1,12,11] => [[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],.]]
[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]] => [4,3,6,5,8,7,9,2,10,1,12,11] => [[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[[.,.],.]]
[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [3,2,7,6,8,5,9,4,10,1,12,11] => [[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],[[.,.],.]]
[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [3,2,6,5,8,7,9,4,10,1,12,11] => [[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[[.,.],.]]
[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,8,7,9,6,10,1,12,11] => [[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[[.,.],.]]
[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [3,2,5,4,8,7,9,6,10,1,12,11] => [[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],[[.,.],.]]
[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]] => [5,4,6,3,7,2,9,8,10,1,12,11] => [[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],.]]
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [4,3,6,5,7,2,9,8,10,1,12,11] => [[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],.]]
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [3,2,6,5,7,4,9,8,10,1,12,11] => [[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[[.,.],.]]
[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => [4,3,5,2,7,6,9,8,10,1,12,11] => [[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[[.,.],.]]
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,7,6,9,8,10,1,12,11] => [[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[[.,.],.]]
[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [2,1,7,6,8,5,9,4,10,3,12,11] => [[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],.]]]
[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [2,1,6,5,8,7,9,4,10,3,12,11] => [[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],.]]]
[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [2,1,5,4,8,7,9,6,10,3,12,11] => [[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],.]]]
[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [2,1,6,5,7,4,9,8,10,3,12,11] => [[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],.]]]
[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [2,1,5,4,7,6,9,8,10,3,12,11] => [[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],.]]]
[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [3,2,4,1,8,7,9,6,10,5,12,11] => [[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[[.,.],.]]]
[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,4,1,7,6,9,8,10,5,12,11] => [[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]]
[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [2,1,4,3,8,7,9,6,10,5,12,11] => [[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],.]]]]
[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [2,1,4,3,7,6,9,8,10,5,12,11] => [[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]]]
[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]] => [4,3,5,2,6,1,9,8,10,7,12,11] => [[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[[.,.],.]]]
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [3,2,5,4,6,1,9,8,10,7,12,11] => [[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[[.,.],.]]]
[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,9,8,10,7,12,11] => [[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],.]]]]
[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5,9,8,10,7,12,11] => [[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]]
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,4,3,6,5,9,8,10,7,12,11] => [[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]]]
[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]] => [5,4,6,3,7,2,8,1,10,9,12,11] => [[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[[.,.],.]]]
[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]] => [4,3,6,5,7,2,8,1,10,9,12,11] => [[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],[[.,.],.]]]
[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [3,2,6,5,7,4,8,1,10,9,12,11] => [[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],[[.,.],.]]]
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [4,3,5,2,7,6,8,1,10,9,12,11] => [[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[[.,.],.]]]
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]] => [3,2,5,4,7,6,8,1,10,9,12,11] => [[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[[.,.],.]]]
[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [2,1,6,5,7,4,8,3,10,9,12,11] => [[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],.]]]]
[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [2,1,5,4,7,6,8,3,10,9,12,11] => [[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],.]]]]
[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,7,6,8,5,10,9,12,11] => [[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[[.,.],.]]]]
[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [2,1,4,3,7,6,8,5,10,9,12,11] => [[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],.]]]]]
[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]] => [4,3,5,2,6,1,8,7,10,9,12,11] => [[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],[[.,.],.]]]]
[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]] => [3,2,5,4,6,1,8,7,10,9,12,11] => [[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[[.,.],.]]]]
[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [2,1,5,4,6,3,8,7,10,9,12,11] => [[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],.]]]]]
[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7,10,9,12,11] => [[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,10,9,2] => [.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]]
[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,10,9,12,11,2] => [.,[[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [[[.,.],.],[[[[[[.,.],.],.],.],.],.]]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [[[[[.,.],.],.],.],[[[[.,.],.],.],.]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [[[[[[.,.],.],.],.],.],[[[.,.],.],.]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [3,9,8,7,6,5,4,2,1] => [[[.,[[[[[[.,.],.],.],.],.],.]],.],.]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.]
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,8,7,5,10,9] => [[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]
[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [2,4,3,1,6,5,8,10,9,7] => [[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7,10,9] => [[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,3,6,8,7,5,10,9] => [[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,10,9,7] => [[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5,10,12,11,9] => [[.,[[.,.],.]],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]
[[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,8,7,5,10,9,12,11] => [[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]
[[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5,8,10,9,7,12,11] => [[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,4,3,1,6,5,8,7,10,12,11,9] => [[.,[[.,.],.]],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]
[[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7,10,9,12,11] => [[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5,10,12,11,9] => [[.,.],[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]]
[[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]] => [2,1,4,3,6,8,7,5,10,9,12,11] => [[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]]
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,3,6,5,8,10,9,7,12,11] => [[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,7,10,12,11,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [2,1,3,4,5,6,8,7,9] => [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [2,1,3,4,5,6,8,9,7] => [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [2,3,4,5,6,8,9,7,1] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]]
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [2,3,5,4,1,6,7,8,9] => [[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]]
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [2,3,4,6,5,1,7,8,9] => [[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]]
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [2,3,4,5,7,6,1,8,9] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]]
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [2,3,4,5,6,8,7,1,9] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,1] => [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]
[.,[[[[[.,[.,[.,[.,.]]]],.],.],.],.]] => [5,4,3,2,6,7,8,9,1] => [[[[[.,.],.],.],[.,[.,[.,[.,.]]]]],.]
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [6,5,4,3,2,7,8,9,1] => [[[[[[.,.],.],.],.],[.,[.,[.,.]]]],.]
[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => [7,6,5,4,3,2,8,9,1] => [[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]
[.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,10,1] => [[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[.,[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]] => [5,4,3,2,6,7,8,9,10,1] => [[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]],.]
[.,[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]] => [6,5,4,3,2,7,8,9,10,1] => [[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]],.]
[.,[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]] => [7,6,5,4,3,2,8,9,10,1] => [[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]],.]
[.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]] => [8,7,6,5,4,3,2,9,10,1] => [[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]],.]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [.,[[[[[[.,.],.],.],.],.],[[.,.],.]]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [[[[[[.,.],.],.],.],.],[[.,[.,.]],.]]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]]
[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,3,2,9,8,7,6,5,4] => [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9] => [[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [1,3,4,5,2,6,7,8,9] => [.,[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]]
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [1,2,4,5,3,6,7,8,9] => [.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]
[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [2,1,4,5,3,6,7,8,9] => [[.,.],[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [1,3,2,5,4,6,7,8,9] => [.,[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [6,7,8,5,4,3,2,1,9] => [[[[[[.,[.,[.,.]]],.],.],.],.],[.,.]]
[[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]],.] => [6,5,7,8,4,3,2,1,9] => [[[[[[.,.],[.,[.,.]]],.],.],.],[.,.]]
[[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]],.] => [6,5,4,7,8,3,2,1,9] => [[[[[[.,.],.],[.,[.,.]]],.],.],[.,.]]
[[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]],.] => [6,5,4,3,7,8,2,1,9] => [[[[[[.,.],.],.],[.,[.,.]]],.],[.,.]]
[[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.] => [6,5,4,3,2,7,8,1,9] => [[[[[[.,.],.],.],.],[.,[.,.]]],[.,.]]
[[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],.]] => [5,4,3,2,1,7,8,9,6] => [[[[[.,.],.],.],.],[[.,[.,[.,.]]],.]]
[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [7,8,9,6,5,4,3,2,1,10] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],[.,.]]
[[.,[.,[.,[.,.]]]],[[[[.,.],.],.],.]] => [4,3,2,1,6,7,8,9,5] => [[[[.,.],.],.],[[.,[.,[.,[.,.]]]],.]]
[[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]],.] => [7,6,8,9,5,4,3,2,1,10] => [[[[[[[.,.],[.,[.,.]]],.],.],.],.],[.,.]]
[[.,[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]],.] => [7,6,5,8,9,4,3,2,1,10] => [[[[[[[.,.],.],[.,[.,.]]],.],.],.],[.,.]]
[[.,[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]],.] => [7,6,5,4,8,9,3,2,1,10] => [[[[[[[.,.],.],.],[.,[.,.]]],.],.],[.,.]]
[[.,[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]],.] => [7,6,5,4,3,8,9,2,1,10] => [[[[[[[.,.],.],.],.],[.,[.,.]]],.],[.,.]]
[[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]],.] => [7,6,5,4,3,2,8,9,1,10] => [[[[[[[.,.],.],.],.],.],[.,[.,.]]],[.,.]]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]]
[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,4,6,5,9,8,7] => [.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]
[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,3,5,4,9,8,7,6] => [.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]]
[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,2,4,3,9,8,7,6,5] => [.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4] => [.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9] => [.,[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] => [10,9,11,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [[[.,[.,.]],.],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10,11] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9,10] => [[[.,[.,.]],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.] => [3,4,2,5,1,6,7,8,9] => [[[.,[.,.]],[.,.]],[.,[.,[.,[.,.]]]]]
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]
[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.] => [7,6,5,8,4,3,2,1,9] => [[[[[[[.,.],.],[.,.]],.],.],.],[.,.]]
[[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]],.] => [6,7,5,8,4,3,2,1,9] => [[[[[[.,[.,.]],[.,.]],.],.],.],[.,.]]
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [2,3,1,5,4,6,7,8,9] => [[.,[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]]
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [4,5,3,2,1,6,7,8,9] => [[[[.,[.,.]],.],.],[.,[.,[.,[.,.]]]]]
[[.,[.,[.,[.,.]]]],[[[[[.,.],.],.],.],.]] => [4,3,2,1,6,7,8,9,10,5] => [[[[.,.],.],.],[[.,[.,[.,[.,[.,.]]]]],.]]
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [[.,[.,[[[[[[.,.],.],.],.],.],.]]],.]
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [2,8,7,6,5,4,3,1,9] => [[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]
[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.] => [8,7,6,5,4,3,2,9,1,10] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,8,10,9,11] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]]
[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]] => [2,1,3,5,6,7,8,9,4] => [[.,.],[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.] => [5,6,4,3,2,1,7,8,9] => [[[[[.,[.,.]],.],.],.],[.,[.,[.,.]]]]
[[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.],.] => [5,6,4,3,2,1,7,8,9,10] => [[[[[.,[.,.]],.],.],.],[.,[.,[.,[.,.]]]]]
[[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.],.] => [6,7,5,4,3,2,1,8,9,10,11] => [[[[[[.,[.,.]],.],.],.],.],[.,[.,[.,[.,.]]]]]
[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.] => [6,7,5,4,3,2,1,8,9,10] => [[[[[[.,[.,.]],.],.],.],.],[.,[.,[.,.]]]]
[[[.,[[.,[.,[.,[[.,.],.]]]],.]],.],.] => [5,6,4,3,2,7,1,8,9] => [[[[[.,[.,.]],.],.],[.,.]],[.,[.,.]]]
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [6,7,5,4,3,2,1,8,9] => [[[[[[.,[.,.]],.],.],.],.],[.,[.,.]]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [[[[[[[.,.],.],.],.],.],.],[[.,[.,.]],.]]
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
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
searching the database
Sorry, this map was not found in the database.