Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00062: Permutations —Lehmer-code to major-code bijection⟶ Permutations
Mp00066: Permutations —inverse⟶ Permutations
Mp00109: Permutations —descent word⟶ Binary words
Mp00062: Permutations —Lehmer-code to major-code bijection⟶ Permutations
Mp00066: Permutations —inverse⟶ Permutations
Mp00109: Permutations —descent word⟶ Binary words
Images
[.,.] => [1] => [1] => [1] =>
[.,[.,.]] => [2,1] => [2,1] => [2,1] => 1
[[.,.],.] => [1,2] => [1,2] => [1,2] => 0
[.,[.,[.,.]]] => [3,2,1] => [3,2,1] => [3,2,1] => 11
[.,[[.,.],.]] => [2,3,1] => [1,3,2] => [1,3,2] => 01
[[.,.],[.,.]] => [3,1,2] => [2,3,1] => [3,1,2] => 10
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => [2,1,3] => 10
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [1,2,3] => 00
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,3,2,1] => [4,3,2,1] => 111
[.,[.,[[.,.],.]]] => [3,4,2,1] => [1,4,3,2] => [1,4,3,2] => 011
[.,[[.,.],[.,.]]] => [4,2,3,1] => [2,4,3,1] => [4,1,3,2] => 101
[.,[[.,[.,.]],.]] => [3,2,4,1] => [2,1,4,3] => [2,1,4,3] => 101
[.,[[[.,.],.],.]] => [2,3,4,1] => [1,2,4,3] => [1,2,4,3] => 001
[[.,.],[.,[.,.]]] => [4,3,1,2] => [3,4,2,1] => [4,3,1,2] => 110
[[.,.],[[.,.],.]] => [3,4,1,2] => [3,1,4,2] => [2,4,1,3] => 010
[[.,[.,.]],[.,.]] => [4,2,1,3] => [3,2,4,1] => [4,2,1,3] => 110
[[[.,.],.],[.,.]] => [4,1,2,3] => [2,3,4,1] => [4,1,2,3] => 100
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1,4] => [3,2,1,4] => 110
[[.,[[.,.],.]],.] => [2,3,1,4] => [1,3,2,4] => [1,3,2,4] => 010
[[[.,.],[.,.]],.] => [3,1,2,4] => [2,3,1,4] => [3,1,2,4] => 100
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => [2,1,3,4] => 100
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 000
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,4,3,2,1] => [5,4,3,2,1] => 1111
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [1,5,4,3,2] => [1,5,4,3,2] => 0111
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [2,5,4,3,1] => [5,1,4,3,2] => 1011
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [2,1,5,4,3] => [2,1,5,4,3] => 1011
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [1,2,5,4,3] => [1,2,5,4,3] => 0011
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [3,5,4,2,1] => [5,4,1,3,2] => 1101
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [3,1,5,4,2] => [2,5,1,4,3] => 0101
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [3,2,5,4,1] => [5,2,1,4,3] => 1101
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [2,3,5,4,1] => [5,1,2,4,3] => 1001
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [3,2,1,5,4] => [3,2,1,5,4] => 1101
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [1,3,2,5,4] => [1,3,2,5,4] => 0101
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [2,3,1,5,4] => [3,1,2,5,4] => 1001
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [2,1,3,5,4] => [2,1,3,5,4] => 1001
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [1,2,3,5,4] => [1,2,3,5,4] => 0001
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [4,5,3,2,1] => [5,4,3,1,2] => 1110
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [4,1,5,3,2] => [2,5,4,1,3] => 0110
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [4,2,5,3,1] => [5,2,4,1,3] => 1010
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [4,2,1,5,3] => [3,2,5,1,4] => 1010
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [1,4,2,5,3] => [1,3,5,2,4] => 0010
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [4,3,5,2,1] => [5,4,2,1,3] => 1110
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [4,3,1,5,2] => [3,5,2,1,4] => 0110
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [3,4,5,2,1] => [5,4,1,2,3] => 1100
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [3,4,1,5,2] => [3,5,1,2,4] => 0100
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [4,3,2,5,1] => [5,3,2,1,4] => 1110
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [2,4,3,5,1] => [5,1,3,2,4] => 1010
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [3,4,2,5,1] => [5,3,1,2,4] => 1100
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [3,2,4,5,1] => [5,2,1,3,4] => 1100
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [2,3,4,5,1] => [5,1,2,3,4] => 1000
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,3,2,1,5] => [4,3,2,1,5] => 1110
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [1,4,3,2,5] => [1,4,3,2,5] => 0110
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [2,4,3,1,5] => [4,1,3,2,5] => 1010
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [2,1,4,3,5] => [2,1,4,3,5] => 1010
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0010
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [3,4,2,1,5] => [4,3,1,2,5] => 1100
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [3,1,4,2,5] => [2,4,1,3,5] => 0100
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [3,2,4,1,5] => [4,2,1,3,5] => 1100
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [2,3,4,1,5] => [4,1,2,3,5] => 1000
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5] => 1100
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0100
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [2,3,1,4,5] => [3,1,2,4,5] => 1000
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => 1000
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0000
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 11111
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => 01111
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [2,6,5,4,3,1] => [6,1,5,4,3,2] => 10111
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => 10111
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => 00111
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [3,6,5,4,2,1] => [6,5,1,4,3,2] => 11011
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [3,1,6,5,4,2] => [2,6,1,5,4,3] => 01011
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [3,2,6,5,4,1] => [6,2,1,5,4,3] => 11011
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [2,3,6,5,4,1] => [6,1,2,5,4,3] => 10011
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => 11011
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => 01011
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => 10011
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => 10011
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => 00011
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [4,6,5,3,2,1] => [6,5,4,1,3,2] => 11101
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [4,1,6,5,3,2] => [2,6,5,1,4,3] => 01101
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [4,2,6,5,3,1] => [6,2,5,1,4,3] => 10101
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [4,2,1,6,5,3] => [3,2,6,1,5,4] => 10101
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [1,4,2,6,5,3] => [1,3,6,2,5,4] => 00101
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [4,3,6,5,2,1] => [6,5,2,1,4,3] => 11101
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [4,3,1,6,5,2] => [3,6,2,1,5,4] => 01101
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [3,4,6,5,2,1] => [6,5,1,2,4,3] => 11001
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [3,4,1,6,5,2] => [3,6,1,2,5,4] => 01001
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [4,3,2,6,5,1] => [6,3,2,1,5,4] => 11101
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [2,4,3,6,5,1] => [6,1,3,2,5,4] => 10101
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [3,4,2,6,5,1] => [6,3,1,2,5,4] => 11001
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [3,2,4,6,5,1] => [6,2,1,3,5,4] => 11001
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [2,3,4,6,5,1] => [6,1,2,3,5,4] => 10001
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => 11101
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => 01101
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [2,4,3,1,6,5] => [4,1,3,2,6,5] => 10101
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => 10101
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => 00101
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [3,4,2,1,6,5] => [4,3,1,2,6,5] => 11001
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [3,1,4,2,6,5] => [2,4,1,3,6,5] => 01001
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [3,2,4,1,6,5] => [4,2,1,3,6,5] => 11001
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [2,3,4,1,6,5] => [4,1,2,3,6,5] => 10001
>>> Load all 1648 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [3,2,1,4,6,5] => [3,2,1,4,6,5] => 11001
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => 01001
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [2,3,1,4,6,5] => [3,1,2,4,6,5] => 10001
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => 10001
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => 00001
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [5,6,4,3,2,1] => [6,5,4,3,1,2] => 11110
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [5,1,6,4,3,2] => [2,6,5,4,1,3] => 01110
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [5,2,6,4,3,1] => [6,2,5,4,1,3] => 10110
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [5,2,1,6,4,3] => [3,2,6,5,1,4] => 10110
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [1,5,2,6,4,3] => [1,3,6,5,2,4] => 00110
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [5,3,6,4,2,1] => [6,5,2,4,1,3] => 11010
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => [3,6,2,5,1,4] => 01010
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [5,3,2,6,4,1] => [6,3,2,5,1,4] => 11010
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,5,3,6,4,1] => [6,1,3,5,2,4] => 10010
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [5,3,2,1,6,4] => [4,3,2,6,1,5] => 11010
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [1,5,3,2,6,4] => [1,4,3,6,2,5] => 01010
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,5,3,1,6,4] => [4,1,3,6,2,5] => 10010
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [2,1,5,3,6,4] => [2,1,4,6,3,5] => 10010
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [1,2,5,3,6,4] => [1,2,4,6,3,5] => 00010
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [5,4,6,3,2,1] => [6,5,4,2,1,3] => 11110
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,4,1,6,3,2] => [3,6,5,2,1,4] => 01110
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,4,2,6,3,1] => [6,3,5,2,1,4] => 10110
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,4,2,1,6,3] => [4,3,6,2,1,5] => 10110
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [1,5,4,2,6,3] => [1,4,6,3,2,5] => 00110
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => 11100
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [4,5,1,6,3,2] => [3,6,5,1,2,4] => 01100
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [4,5,2,6,3,1] => [6,3,5,1,2,4] => 10100
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [4,5,2,1,6,3] => [4,3,6,1,2,5] => 10100
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => [2,4,6,1,3,5] => 00100
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [5,4,3,6,2,1] => [6,5,3,2,1,4] => 11110
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,4,3,1,6,2] => [4,6,3,2,1,5] => 01110
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [3,5,4,6,2,1] => [6,5,1,3,2,4] => 11010
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [3,5,4,1,6,2] => [4,6,1,3,2,5] => 01010
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => [6,5,3,1,2,4] => 11100
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,5,3,1,6,2] => [4,6,3,1,2,5] => 01100
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,3,5,6,2,1] => [6,5,2,1,3,4] => 11100
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,3,5,1,6,2] => [4,6,2,1,3,5] => 01100
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => 11000
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [3,4,5,1,6,2] => [4,6,1,2,3,5] => 01000
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [5,4,3,2,6,1] => [6,4,3,2,1,5] => 11110
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [2,5,4,3,6,1] => [6,1,4,3,2,5] => 10110
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [3,5,4,2,6,1] => [6,4,1,3,2,5] => 11010
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [3,2,5,4,6,1] => [6,2,1,4,3,5] => 11010
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [2,3,5,4,6,1] => [6,1,2,4,3,5] => 10010
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => [6,4,3,1,2,5] => 11100
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [4,2,5,3,6,1] => [6,2,4,1,3,5] => 10100
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => [6,4,2,1,3,5] => 11100
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => 11000
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [4,3,2,5,6,1] => [6,3,2,1,4,5] => 11100
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [2,4,3,5,6,1] => [6,1,3,2,4,5] => 10100
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => [6,3,1,2,4,5] => 11000
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => [6,2,1,3,4,5] => 11000
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => [6,1,2,3,4,5] => 10000
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => 11110
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => 01110
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [2,5,4,3,1,6] => [5,1,4,3,2,6] => 10110
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => 10110
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => 00110
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [3,5,4,2,1,6] => [5,4,1,3,2,6] => 11010
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [3,1,5,4,2,6] => [2,5,1,4,3,6] => 01010
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [3,2,5,4,1,6] => [5,2,1,4,3,6] => 11010
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [2,3,5,4,1,6] => [5,1,2,4,3,6] => 10010
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [3,2,1,5,4,6] => [3,2,1,5,4,6] => 11010
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => 01010
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [2,3,1,5,4,6] => [3,1,2,5,4,6] => 10010
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => 10010
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => 00010
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [4,5,3,2,1,6] => [5,4,3,1,2,6] => 11100
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [4,1,5,3,2,6] => [2,5,4,1,3,6] => 01100
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [4,2,5,3,1,6] => [5,2,4,1,3,6] => 10100
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [4,2,1,5,3,6] => [3,2,5,1,4,6] => 10100
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [1,4,2,5,3,6] => [1,3,5,2,4,6] => 00100
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [4,3,5,2,1,6] => [5,4,2,1,3,6] => 11100
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [4,3,1,5,2,6] => [3,5,2,1,4,6] => 01100
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => [5,4,1,2,3,6] => 11000
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [3,4,1,5,2,6] => [3,5,1,2,4,6] => 01000
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [4,3,2,5,1,6] => [5,3,2,1,4,6] => 11100
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [2,4,3,5,1,6] => [5,1,3,2,4,6] => 10100
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => [5,3,1,2,4,6] => 11000
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [3,2,4,5,1,6] => [5,2,1,3,4,6] => 11000
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => [5,1,2,3,4,6] => 10000
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => 11100
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [1,4,3,2,5,6] => [1,4,3,2,5,6] => 01100
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [2,4,3,1,5,6] => [4,1,3,2,5,6] => 10100
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => 10100
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => 00100
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => [4,3,1,2,5,6] => 11000
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => [2,4,1,3,5,6] => 01000
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [3,2,4,1,5,6] => [4,2,1,3,5,6] => 11000
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => [4,1,2,3,5,6] => 10000
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => 11000
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => 01000
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => [3,1,2,4,5,6] => 10000
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => 10000
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 00000
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 111111
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => 011111
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [2,7,6,5,4,3,1] => [7,1,6,5,4,3,2] => 101111
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3] => 101111
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => 001111
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [3,7,6,5,4,2,1] => [7,6,1,5,4,3,2] => 110111
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [3,1,7,6,5,4,2] => [2,7,1,6,5,4,3] => 010111
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [3,2,7,6,5,4,1] => [7,2,1,6,5,4,3] => 110111
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [2,3,7,6,5,4,1] => [7,1,2,6,5,4,3] => 100111
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [3,2,1,7,6,5,4] => [3,2,1,7,6,5,4] => 110111
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => 010111
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [2,3,1,7,6,5,4] => [3,1,2,7,6,5,4] => 100111
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => 100111
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => 000111
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [4,7,6,5,3,2,1] => [7,6,5,1,4,3,2] => 111011
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [4,1,7,6,5,3,2] => [2,7,6,1,5,4,3] => 011011
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [4,2,7,6,5,3,1] => [7,2,6,1,5,4,3] => 101011
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [4,2,1,7,6,5,3] => [3,2,7,1,6,5,4] => 101011
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [1,4,2,7,6,5,3] => [1,3,7,2,6,5,4] => 001011
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [4,3,7,6,5,2,1] => [7,6,2,1,5,4,3] => 111011
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [4,3,1,7,6,5,2] => [3,7,2,1,6,5,4] => 011011
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [3,4,7,6,5,2,1] => [7,6,1,2,5,4,3] => 110011
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [3,4,1,7,6,5,2] => [3,7,1,2,6,5,4] => 010011
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [4,3,2,7,6,5,1] => [7,3,2,1,6,5,4] => 111011
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [2,4,3,7,6,5,1] => [7,1,3,2,6,5,4] => 101011
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [3,4,2,7,6,5,1] => [7,3,1,2,6,5,4] => 110011
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [3,2,4,7,6,5,1] => [7,2,1,3,6,5,4] => 110011
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [2,3,4,7,6,5,1] => [7,1,2,3,6,5,4] => 100011
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [4,3,2,1,7,6,5] => [4,3,2,1,7,6,5] => 111011
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => 011011
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [2,4,3,1,7,6,5] => [4,1,3,2,7,6,5] => 101011
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [2,1,4,3,7,6,5] => [2,1,4,3,7,6,5] => 101011
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => 001011
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [3,4,2,1,7,6,5] => [4,3,1,2,7,6,5] => 110011
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [3,1,4,2,7,6,5] => [2,4,1,3,7,6,5] => 010011
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [3,2,4,1,7,6,5] => [4,2,1,3,7,6,5] => 110011
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [2,3,4,1,7,6,5] => [4,1,2,3,7,6,5] => 100011
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [3,2,1,4,7,6,5] => [3,2,1,4,7,6,5] => 110011
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => 010011
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [2,3,1,4,7,6,5] => [3,1,2,4,7,6,5] => 100011
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [2,1,3,4,7,6,5] => [2,1,3,4,7,6,5] => 100011
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => 000011
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [5,7,6,4,3,2,1] => [7,6,5,4,1,3,2] => 111101
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [5,1,7,6,4,3,2] => [2,7,6,5,1,4,3] => 011101
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [5,2,7,6,4,3,1] => [7,2,6,5,1,4,3] => 101101
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [5,2,1,7,6,4,3] => [3,2,7,6,1,5,4] => 101101
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [1,5,2,7,6,4,3] => [1,3,7,6,2,5,4] => 001101
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [5,3,7,6,4,2,1] => [7,6,2,5,1,4,3] => 110101
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [5,3,1,7,6,4,2] => [3,7,2,6,1,5,4] => 010101
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [5,3,2,7,6,4,1] => [7,3,2,6,1,5,4] => 110101
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [2,5,3,7,6,4,1] => [7,1,3,6,2,5,4] => 100101
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [5,3,2,1,7,6,4] => [4,3,2,7,1,6,5] => 110101
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [1,5,3,2,7,6,4] => [1,4,3,7,2,6,5] => 010101
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [2,5,3,1,7,6,4] => [4,1,3,7,2,6,5] => 100101
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [2,1,5,3,7,6,4] => [2,1,4,7,3,6,5] => 100101
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [1,2,5,3,7,6,4] => [1,2,4,7,3,6,5] => 000101
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [5,4,7,6,3,2,1] => [7,6,5,2,1,4,3] => 111101
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [5,4,1,7,6,3,2] => [3,7,6,2,1,5,4] => 011101
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [5,4,2,7,6,3,1] => [7,3,6,2,1,5,4] => 101101
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [5,4,2,1,7,6,3] => [4,3,7,2,1,6,5] => 101101
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [1,5,4,2,7,6,3] => [1,4,7,3,2,6,5] => 001101
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [4,5,7,6,3,2,1] => [7,6,5,1,2,4,3] => 111001
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [4,5,1,7,6,3,2] => [3,7,6,1,2,5,4] => 011001
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [4,5,2,7,6,3,1] => [7,3,6,1,2,5,4] => 101001
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [4,5,2,1,7,6,3] => [4,3,7,1,2,6,5] => 101001
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [4,1,5,2,7,6,3] => [2,4,7,1,3,6,5] => 001001
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [5,4,3,7,6,2,1] => [7,6,3,2,1,5,4] => 111101
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [5,4,3,1,7,6,2] => [4,7,3,2,1,6,5] => 011101
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [3,5,4,7,6,2,1] => [7,6,1,3,2,5,4] => 110101
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [3,5,4,1,7,6,2] => [4,7,1,3,2,6,5] => 010101
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [4,5,3,7,6,2,1] => [7,6,3,1,2,5,4] => 111001
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [4,5,3,1,7,6,2] => [4,7,3,1,2,6,5] => 011001
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [4,3,5,7,6,2,1] => [7,6,2,1,3,5,4] => 111001
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [4,3,5,1,7,6,2] => [4,7,2,1,3,6,5] => 011001
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [3,4,5,7,6,2,1] => [7,6,1,2,3,5,4] => 110001
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [3,4,5,1,7,6,2] => [4,7,1,2,3,6,5] => 010001
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [5,4,3,2,7,6,1] => [7,4,3,2,1,6,5] => 111101
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [2,5,4,3,7,6,1] => [7,1,4,3,2,6,5] => 101101
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [3,5,4,2,7,6,1] => [7,4,1,3,2,6,5] => 110101
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [3,2,5,4,7,6,1] => [7,2,1,4,3,6,5] => 110101
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [2,3,5,4,7,6,1] => [7,1,2,4,3,6,5] => 100101
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [4,5,3,2,7,6,1] => [7,4,3,1,2,6,5] => 111001
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [4,2,5,3,7,6,1] => [7,2,4,1,3,6,5] => 101001
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [4,3,5,2,7,6,1] => [7,4,2,1,3,6,5] => 111001
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [3,4,5,2,7,6,1] => [7,4,1,2,3,6,5] => 110001
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [4,3,2,5,7,6,1] => [7,3,2,1,4,6,5] => 111001
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [2,4,3,5,7,6,1] => [7,1,3,2,4,6,5] => 101001
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [3,4,2,5,7,6,1] => [7,3,1,2,4,6,5] => 110001
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [3,2,4,5,7,6,1] => [7,2,1,3,4,6,5] => 110001
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [2,3,4,5,7,6,1] => [7,1,2,3,4,6,5] => 100001
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [5,4,3,2,1,7,6] => [5,4,3,2,1,7,6] => 111101
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => 011101
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [2,5,4,3,1,7,6] => [5,1,4,3,2,7,6] => 101101
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [2,1,5,4,3,7,6] => [2,1,5,4,3,7,6] => 101101
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => 001101
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [3,5,4,2,1,7,6] => [5,4,1,3,2,7,6] => 110101
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [3,1,5,4,2,7,6] => [2,5,1,4,3,7,6] => 010101
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [3,2,5,4,1,7,6] => [5,2,1,4,3,7,6] => 110101
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [2,3,5,4,1,7,6] => [5,1,2,4,3,7,6] => 100101
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [3,2,1,5,4,7,6] => [3,2,1,5,4,7,6] => 110101
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => 010101
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [2,3,1,5,4,7,6] => [3,1,2,5,4,7,6] => 100101
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => 100101
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => 000101
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [4,5,3,2,1,7,6] => [5,4,3,1,2,7,6] => 111001
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [4,1,5,3,2,7,6] => [2,5,4,1,3,7,6] => 011001
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [4,2,5,3,1,7,6] => [5,2,4,1,3,7,6] => 101001
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [4,2,1,5,3,7,6] => [3,2,5,1,4,7,6] => 101001
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [1,4,2,5,3,7,6] => [1,3,5,2,4,7,6] => 001001
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [4,3,5,2,1,7,6] => [5,4,2,1,3,7,6] => 111001
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [4,3,1,5,2,7,6] => [3,5,2,1,4,7,6] => 011001
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [3,4,5,2,1,7,6] => [5,4,1,2,3,7,6] => 110001
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [3,4,1,5,2,7,6] => [3,5,1,2,4,7,6] => 010001
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [4,3,2,5,1,7,6] => [5,3,2,1,4,7,6] => 111001
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [2,4,3,5,1,7,6] => [5,1,3,2,4,7,6] => 101001
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [3,4,2,5,1,7,6] => [5,3,1,2,4,7,6] => 110001
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [3,2,4,5,1,7,6] => [5,2,1,3,4,7,6] => 110001
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [2,3,4,5,1,7,6] => [5,1,2,3,4,7,6] => 100001
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [4,3,2,1,5,7,6] => [4,3,2,1,5,7,6] => 111001
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => 011001
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [2,4,3,1,5,7,6] => [4,1,3,2,5,7,6] => 101001
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => 101001
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => 001001
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [3,4,2,1,5,7,6] => [4,3,1,2,5,7,6] => 110001
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [3,1,4,2,5,7,6] => [2,4,1,3,5,7,6] => 010001
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [3,2,4,1,5,7,6] => [4,2,1,3,5,7,6] => 110001
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [2,3,4,1,5,7,6] => [4,1,2,3,5,7,6] => 100001
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [3,2,1,4,5,7,6] => [3,2,1,4,5,7,6] => 110001
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => 010001
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [2,3,1,4,5,7,6] => [3,1,2,4,5,7,6] => 100001
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => 100001
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 000001
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => 111110
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [6,1,7,5,4,3,2] => [2,7,6,5,4,1,3] => 011110
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [6,2,7,5,4,3,1] => [7,2,6,5,4,1,3] => 101110
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [6,2,1,7,5,4,3] => [3,2,7,6,5,1,4] => 101110
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [1,6,2,7,5,4,3] => [1,3,7,6,5,2,4] => 001110
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [6,3,7,5,4,2,1] => [7,6,2,5,4,1,3] => 110110
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [6,3,1,7,5,4,2] => [3,7,2,6,5,1,4] => 010110
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [6,3,2,7,5,4,1] => [7,3,2,6,5,1,4] => 110110
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [2,6,3,7,5,4,1] => [7,1,3,6,5,2,4] => 100110
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [6,3,2,1,7,5,4] => [4,3,2,7,6,1,5] => 110110
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [1,6,3,2,7,5,4] => [1,4,3,7,6,2,5] => 010110
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [2,6,3,1,7,5,4] => [4,1,3,7,6,2,5] => 100110
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [2,1,6,3,7,5,4] => [2,1,4,7,6,3,5] => 100110
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [1,2,6,3,7,5,4] => [1,2,4,7,6,3,5] => 000110
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [6,4,7,5,3,2,1] => [7,6,5,2,4,1,3] => 111010
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [6,4,1,7,5,3,2] => [3,7,6,2,5,1,4] => 011010
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [6,4,2,7,5,3,1] => [7,3,6,2,5,1,4] => 101010
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [6,4,2,1,7,5,3] => [4,3,7,2,6,1,5] => 101010
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [1,6,4,2,7,5,3] => [1,4,7,3,6,2,5] => 001010
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [6,4,3,7,5,2,1] => [7,6,3,2,5,1,4] => 111010
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [6,4,3,1,7,5,2] => [4,7,3,2,6,1,5] => 011010
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [3,6,4,7,5,2,1] => [7,6,1,3,5,2,4] => 110010
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [3,6,4,1,7,5,2] => [4,7,1,3,6,2,5] => 010010
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [6,4,3,2,7,5,1] => [7,4,3,2,6,1,5] => 111010
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [2,6,4,3,7,5,1] => [7,1,4,3,6,2,5] => 101010
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [3,6,4,2,7,5,1] => [7,4,1,3,6,2,5] => 110010
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [3,2,6,4,7,5,1] => [7,2,1,4,6,3,5] => 110010
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [2,3,6,4,7,5,1] => [7,1,2,4,6,3,5] => 100010
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [6,4,3,2,1,7,5] => [5,4,3,2,7,1,6] => 111010
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [1,6,4,3,2,7,5] => [1,5,4,3,7,2,6] => 011010
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [2,6,4,3,1,7,5] => [5,1,4,3,7,2,6] => 101010
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [2,1,6,4,3,7,5] => [2,1,5,4,7,3,6] => 101010
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [1,2,6,4,3,7,5] => [1,2,5,4,7,3,6] => 001010
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [3,6,4,2,1,7,5] => [5,4,1,3,7,2,6] => 110010
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [3,1,6,4,2,7,5] => [2,5,1,4,7,3,6] => 010010
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [3,2,6,4,1,7,5] => [5,2,1,4,7,3,6] => 110010
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [2,3,6,4,1,7,5] => [5,1,2,4,7,3,6] => 100010
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [3,2,1,6,4,7,5] => [3,2,1,5,7,4,6] => 110010
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [1,3,2,6,4,7,5] => [1,3,2,5,7,4,6] => 010010
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [2,3,1,6,4,7,5] => [3,1,2,5,7,4,6] => 100010
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [2,1,3,6,4,7,5] => [2,1,3,5,7,4,6] => 100010
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [1,2,3,6,4,7,5] => [1,2,3,5,7,4,6] => 000010
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [6,5,7,4,3,2,1] => [7,6,5,4,2,1,3] => 111110
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [6,5,1,7,4,3,2] => [3,7,6,5,2,1,4] => 011110
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [6,5,2,7,4,3,1] => [7,3,6,5,2,1,4] => 101110
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [6,5,2,1,7,4,3] => [4,3,7,6,2,1,5] => 101110
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [1,6,5,2,7,4,3] => [1,4,7,6,3,2,5] => 001110
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [6,5,3,7,4,2,1] => [7,6,3,5,2,1,4] => 110110
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [6,5,3,1,7,4,2] => [4,7,3,6,2,1,5] => 010110
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [6,5,3,2,7,4,1] => [7,4,3,6,2,1,5] => 110110
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [2,6,5,3,7,4,1] => [7,1,4,6,3,2,5] => 100110
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [6,5,3,2,1,7,4] => [5,4,3,7,2,1,6] => 110110
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [1,6,5,3,2,7,4] => [1,5,4,7,3,2,6] => 010110
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [2,6,5,3,1,7,4] => [5,1,4,7,3,2,6] => 100110
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [2,1,6,5,3,7,4] => [2,1,5,7,4,3,6] => 100110
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [1,2,6,5,3,7,4] => [1,2,5,7,4,3,6] => 000110
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => 111100
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [5,6,1,7,4,3,2] => [3,7,6,5,1,2,4] => 011100
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [5,6,2,7,4,3,1] => [7,3,6,5,1,2,4] => 101100
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [5,6,2,1,7,4,3] => [4,3,7,6,1,2,5] => 101100
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [5,1,6,2,7,4,3] => [2,4,7,6,1,3,5] => 001100
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [5,6,3,7,4,2,1] => [7,6,3,5,1,2,4] => 110100
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [5,6,3,1,7,4,2] => [4,7,3,6,1,2,5] => 010100
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [5,6,3,2,7,4,1] => [7,4,3,6,1,2,5] => 110100
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [5,2,6,3,7,4,1] => [7,2,4,6,1,3,5] => 100100
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [5,6,3,2,1,7,4] => [5,4,3,7,1,2,6] => 110100
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [5,1,6,3,2,7,4] => [2,5,4,7,1,3,6] => 010100
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [5,2,6,3,1,7,4] => [5,2,4,7,1,3,6] => 100100
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [5,2,1,6,3,7,4] => [3,2,5,7,1,4,6] => 100100
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [1,5,2,6,3,7,4] => [1,3,5,7,2,4,6] => 000100
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [6,5,4,7,3,2,1] => [7,6,5,3,2,1,4] => 111110
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [6,5,4,1,7,3,2] => [4,7,6,3,2,1,5] => 011110
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [6,5,4,2,7,3,1] => [7,4,6,3,2,1,5] => 101110
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [6,5,4,2,1,7,3] => [5,4,7,3,2,1,6] => 101110
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [1,6,5,4,2,7,3] => [1,5,7,4,3,2,6] => 001110
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [4,6,5,7,3,2,1] => [7,6,5,1,3,2,4] => 111010
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [4,6,5,1,7,3,2] => [4,7,6,1,3,2,5] => 011010
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [4,6,5,2,7,3,1] => [7,4,6,1,3,2,5] => 101010
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [4,6,5,2,1,7,3] => [5,4,7,1,3,2,6] => 101010
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [4,1,6,5,2,7,3] => [2,5,7,1,4,3,6] => 001010
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [5,6,4,7,3,2,1] => [7,6,5,3,1,2,4] => 111100
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [5,6,4,1,7,3,2] => [4,7,6,3,1,2,5] => 011100
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [5,6,4,2,7,3,1] => [7,4,6,3,1,2,5] => 101100
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [5,6,4,2,1,7,3] => [5,4,7,3,1,2,6] => 101100
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [5,1,6,4,2,7,3] => [2,5,7,4,1,3,6] => 001100
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [5,4,6,7,3,2,1] => [7,6,5,2,1,3,4] => 111100
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [5,4,6,1,7,3,2] => [4,7,6,2,1,3,5] => 011100
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [5,4,6,2,7,3,1] => [7,4,6,2,1,3,5] => 101100
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [5,4,6,2,1,7,3] => [5,4,7,2,1,3,6] => 101100
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [5,4,1,6,2,7,3] => [3,5,7,2,1,4,6] => 001100
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => 111000
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [4,5,6,1,7,3,2] => [4,7,6,1,2,3,5] => 011000
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [4,5,6,2,7,3,1] => [7,4,6,1,2,3,5] => 101000
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [4,5,6,2,1,7,3] => [5,4,7,1,2,3,6] => 101000
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [4,5,1,6,2,7,3] => [3,5,7,1,2,4,6] => 001000
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [6,5,4,3,7,2,1] => [7,6,4,3,2,1,5] => 111110
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [6,5,4,3,1,7,2] => [5,7,4,3,2,1,6] => 011110
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [3,6,5,4,7,2,1] => [7,6,1,4,3,2,5] => 110110
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [3,6,5,4,1,7,2] => [5,7,1,4,3,2,6] => 010110
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [4,6,5,3,7,2,1] => [7,6,4,1,3,2,5] => 111010
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [4,6,5,3,1,7,2] => [5,7,4,1,3,2,6] => 011010
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [4,3,6,5,7,2,1] => [7,6,2,1,4,3,5] => 111010
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [4,3,6,5,1,7,2] => [5,7,2,1,4,3,6] => 011010
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [3,4,6,5,7,2,1] => [7,6,1,2,4,3,5] => 110010
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [3,4,6,5,1,7,2] => [5,7,1,2,4,3,6] => 010010
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [5,6,4,3,7,2,1] => [7,6,4,3,1,2,5] => 111100
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [5,6,4,3,1,7,2] => [5,7,4,3,1,2,6] => 011100
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [5,3,6,4,7,2,1] => [7,6,2,4,1,3,5] => 110100
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [5,3,6,4,1,7,2] => [5,7,2,4,1,3,6] => 010100
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [5,4,6,3,7,2,1] => [7,6,4,2,1,3,5] => 111100
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [5,4,6,3,1,7,2] => [5,7,4,2,1,3,6] => 011100
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [4,5,6,3,7,2,1] => [7,6,4,1,2,3,5] => 111000
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [4,5,6,3,1,7,2] => [5,7,4,1,2,3,6] => 011000
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [5,4,3,6,7,2,1] => [7,6,3,2,1,4,5] => 111100
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [5,4,3,6,1,7,2] => [5,7,3,2,1,4,6] => 011100
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [3,5,4,6,7,2,1] => [7,6,1,3,2,4,5] => 110100
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [3,5,4,6,1,7,2] => [5,7,1,3,2,4,6] => 010100
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [4,5,3,6,7,2,1] => [7,6,3,1,2,4,5] => 111000
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [4,5,3,6,1,7,2] => [5,7,3,1,2,4,6] => 011000
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [4,3,5,6,7,2,1] => [7,6,2,1,3,4,5] => 111000
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [4,3,5,6,1,7,2] => [5,7,2,1,3,4,6] => 011000
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => 110000
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [3,4,5,6,1,7,2] => [5,7,1,2,3,4,6] => 010000
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [6,5,4,3,2,7,1] => [7,5,4,3,2,1,6] => 111110
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [2,6,5,4,3,7,1] => [7,1,5,4,3,2,6] => 101110
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [3,6,5,4,2,7,1] => [7,5,1,4,3,2,6] => 110110
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [3,2,6,5,4,7,1] => [7,2,1,5,4,3,6] => 110110
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [2,3,6,5,4,7,1] => [7,1,2,5,4,3,6] => 100110
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [4,6,5,3,2,7,1] => [7,5,4,1,3,2,6] => 111010
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [4,2,6,5,3,7,1] => [7,2,5,1,4,3,6] => 101010
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [4,3,6,5,2,7,1] => [7,5,2,1,4,3,6] => 111010
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [3,4,6,5,2,7,1] => [7,5,1,2,4,3,6] => 110010
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [4,3,2,6,5,7,1] => [7,3,2,1,5,4,6] => 111010
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [2,4,3,6,5,7,1] => [7,1,3,2,5,4,6] => 101010
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [3,4,2,6,5,7,1] => [7,3,1,2,5,4,6] => 110010
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [3,2,4,6,5,7,1] => [7,2,1,3,5,4,6] => 110010
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [2,3,4,6,5,7,1] => [7,1,2,3,5,4,6] => 100010
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [5,6,4,3,2,7,1] => [7,5,4,3,1,2,6] => 111100
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [5,2,6,4,3,7,1] => [7,2,5,4,1,3,6] => 101100
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [5,3,6,4,2,7,1] => [7,5,2,4,1,3,6] => 110100
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [5,3,2,6,4,7,1] => [7,3,2,5,1,4,6] => 110100
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [2,5,3,6,4,7,1] => [7,1,3,5,2,4,6] => 100100
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [5,4,6,3,2,7,1] => [7,5,4,2,1,3,6] => 111100
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [5,4,2,6,3,7,1] => [7,3,5,2,1,4,6] => 101100
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [4,5,6,3,2,7,1] => [7,5,4,1,2,3,6] => 111000
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [4,5,2,6,3,7,1] => [7,3,5,1,2,4,6] => 101000
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [5,4,3,6,2,7,1] => [7,5,3,2,1,4,6] => 111100
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [3,5,4,6,2,7,1] => [7,5,1,3,2,4,6] => 110100
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [4,5,3,6,2,7,1] => [7,5,3,1,2,4,6] => 111000
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [4,3,5,6,2,7,1] => [7,5,2,1,3,4,6] => 111000
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => 110000
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [5,4,3,2,6,7,1] => [7,4,3,2,1,5,6] => 111100
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [2,5,4,3,6,7,1] => [7,1,4,3,2,5,6] => 101100
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [3,5,4,2,6,7,1] => [7,4,1,3,2,5,6] => 110100
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [3,2,5,4,6,7,1] => [7,2,1,4,3,5,6] => 110100
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [2,3,5,4,6,7,1] => [7,1,2,4,3,5,6] => 100100
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [4,5,3,2,6,7,1] => [7,4,3,1,2,5,6] => 111000
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [4,2,5,3,6,7,1] => [7,2,4,1,3,5,6] => 101000
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => [7,4,2,1,3,5,6] => 111000
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => 110000
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [4,3,2,5,6,7,1] => [7,3,2,1,4,5,6] => 111000
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [2,4,3,5,6,7,1] => [7,1,3,2,4,5,6] => 101000
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => [7,3,1,2,4,5,6] => 110000
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [3,2,4,5,6,7,1] => [7,2,1,3,4,5,6] => 110000
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => [7,1,2,3,4,5,6] => 100000
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => 111110
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [1,6,5,4,3,2,7] => [1,6,5,4,3,2,7] => 011110
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [2,6,5,4,3,1,7] => [6,1,5,4,3,2,7] => 101110
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [2,1,6,5,4,3,7] => [2,1,6,5,4,3,7] => 101110
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => 001110
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [3,6,5,4,2,1,7] => [6,5,1,4,3,2,7] => 110110
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [3,1,6,5,4,2,7] => [2,6,1,5,4,3,7] => 010110
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [3,2,6,5,4,1,7] => [6,2,1,5,4,3,7] => 110110
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [2,3,6,5,4,1,7] => [6,1,2,5,4,3,7] => 100110
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [3,2,1,6,5,4,7] => [3,2,1,6,5,4,7] => 110110
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => 010110
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [2,3,1,6,5,4,7] => [3,1,2,6,5,4,7] => 100110
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [2,1,3,6,5,4,7] => [2,1,3,6,5,4,7] => 100110
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => 000110
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [4,6,5,3,2,1,7] => [6,5,4,1,3,2,7] => 111010
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [4,1,6,5,3,2,7] => [2,6,5,1,4,3,7] => 011010
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [4,2,6,5,3,1,7] => [6,2,5,1,4,3,7] => 101010
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [4,2,1,6,5,3,7] => [3,2,6,1,5,4,7] => 101010
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [1,4,2,6,5,3,7] => [1,3,6,2,5,4,7] => 001010
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [4,3,6,5,2,1,7] => [6,5,2,1,4,3,7] => 111010
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [4,3,1,6,5,2,7] => [3,6,2,1,5,4,7] => 011010
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [3,4,6,5,2,1,7] => [6,5,1,2,4,3,7] => 110010
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [3,4,1,6,5,2,7] => [3,6,1,2,5,4,7] => 010010
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [4,3,2,6,5,1,7] => [6,3,2,1,5,4,7] => 111010
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [2,4,3,6,5,1,7] => [6,1,3,2,5,4,7] => 101010
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [3,4,2,6,5,1,7] => [6,3,1,2,5,4,7] => 110010
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [3,2,4,6,5,1,7] => [6,2,1,3,5,4,7] => 110010
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [2,3,4,6,5,1,7] => [6,1,2,3,5,4,7] => 100010
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [4,3,2,1,6,5,7] => [4,3,2,1,6,5,7] => 111010
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => 011010
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [2,4,3,1,6,5,7] => [4,1,3,2,6,5,7] => 101010
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => 101010
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => 001010
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [3,4,2,1,6,5,7] => [4,3,1,2,6,5,7] => 110010
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [3,1,4,2,6,5,7] => [2,4,1,3,6,5,7] => 010010
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [3,2,4,1,6,5,7] => [4,2,1,3,6,5,7] => 110010
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [2,3,4,1,6,5,7] => [4,1,2,3,6,5,7] => 100010
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [3,2,1,4,6,5,7] => [3,2,1,4,6,5,7] => 110010
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => 010010
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [2,3,1,4,6,5,7] => [3,1,2,4,6,5,7] => 100010
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => 100010
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 000010
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [5,6,4,3,2,1,7] => [6,5,4,3,1,2,7] => 111100
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [5,1,6,4,3,2,7] => [2,6,5,4,1,3,7] => 011100
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [5,2,6,4,3,1,7] => [6,2,5,4,1,3,7] => 101100
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [5,2,1,6,4,3,7] => [3,2,6,5,1,4,7] => 101100
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [1,5,2,6,4,3,7] => [1,3,6,5,2,4,7] => 001100
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [5,3,6,4,2,1,7] => [6,5,2,4,1,3,7] => 110100
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [5,3,1,6,4,2,7] => [3,6,2,5,1,4,7] => 010100
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [5,3,2,6,4,1,7] => [6,3,2,5,1,4,7] => 110100
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [2,5,3,6,4,1,7] => [6,1,3,5,2,4,7] => 100100
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [5,3,2,1,6,4,7] => [4,3,2,6,1,5,7] => 110100
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [1,5,3,2,6,4,7] => [1,4,3,6,2,5,7] => 010100
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [2,5,3,1,6,4,7] => [4,1,3,6,2,5,7] => 100100
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [2,1,5,3,6,4,7] => [2,1,4,6,3,5,7] => 100100
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [1,2,5,3,6,4,7] => [1,2,4,6,3,5,7] => 000100
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [5,4,6,3,2,1,7] => [6,5,4,2,1,3,7] => 111100
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [5,4,1,6,3,2,7] => [3,6,5,2,1,4,7] => 011100
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [5,4,2,6,3,1,7] => [6,3,5,2,1,4,7] => 101100
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [5,4,2,1,6,3,7] => [4,3,6,2,1,5,7] => 101100
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [1,5,4,2,6,3,7] => [1,4,6,3,2,5,7] => 001100
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [4,5,6,3,2,1,7] => [6,5,4,1,2,3,7] => 111000
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [4,5,1,6,3,2,7] => [3,6,5,1,2,4,7] => 011000
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [4,5,2,6,3,1,7] => [6,3,5,1,2,4,7] => 101000
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [4,5,2,1,6,3,7] => [4,3,6,1,2,5,7] => 101000
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [4,1,5,2,6,3,7] => [2,4,6,1,3,5,7] => 001000
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [5,4,3,6,2,1,7] => [6,5,3,2,1,4,7] => 111100
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [5,4,3,1,6,2,7] => [4,6,3,2,1,5,7] => 011100
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [3,5,4,6,2,1,7] => [6,5,1,3,2,4,7] => 110100
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [3,5,4,1,6,2,7] => [4,6,1,3,2,5,7] => 010100
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => [6,5,3,1,2,4,7] => 111000
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [4,5,3,1,6,2,7] => [4,6,3,1,2,5,7] => 011000
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [4,3,5,6,2,1,7] => [6,5,2,1,3,4,7] => 111000
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [4,3,5,1,6,2,7] => [4,6,2,1,3,5,7] => 011000
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [3,4,5,6,2,1,7] => [6,5,1,2,3,4,7] => 110000
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [3,4,5,1,6,2,7] => [4,6,1,2,3,5,7] => 010000
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [5,4,3,2,6,1,7] => [6,4,3,2,1,5,7] => 111100
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [2,5,4,3,6,1,7] => [6,1,4,3,2,5,7] => 101100
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [3,5,4,2,6,1,7] => [6,4,1,3,2,5,7] => 110100
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [3,2,5,4,6,1,7] => [6,2,1,4,3,5,7] => 110100
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [2,3,5,4,6,1,7] => [6,1,2,4,3,5,7] => 100100
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [4,5,3,2,6,1,7] => [6,4,3,1,2,5,7] => 111000
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [4,2,5,3,6,1,7] => [6,2,4,1,3,5,7] => 101000
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [4,3,5,2,6,1,7] => [6,4,2,1,3,5,7] => 111000
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [3,4,5,2,6,1,7] => [6,4,1,2,3,5,7] => 110000
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [4,3,2,5,6,1,7] => [6,3,2,1,4,5,7] => 111000
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [2,4,3,5,6,1,7] => [6,1,3,2,4,5,7] => 101000
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [3,4,2,5,6,1,7] => [6,3,1,2,4,5,7] => 110000
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [3,2,4,5,6,1,7] => [6,2,1,3,4,5,7] => 110000
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => [6,1,2,3,4,5,7] => 100000
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => 111100
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [1,5,4,3,2,6,7] => [1,5,4,3,2,6,7] => 011100
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [2,5,4,3,1,6,7] => [5,1,4,3,2,6,7] => 101100
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [2,1,5,4,3,6,7] => [2,1,5,4,3,6,7] => 101100
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => 001100
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [3,5,4,2,1,6,7] => [5,4,1,3,2,6,7] => 110100
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [3,1,5,4,2,6,7] => [2,5,1,4,3,6,7] => 010100
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [3,2,5,4,1,6,7] => [5,2,1,4,3,6,7] => 110100
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [2,3,5,4,1,6,7] => [5,1,2,4,3,6,7] => 100100
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [3,2,1,5,4,6,7] => [3,2,1,5,4,6,7] => 110100
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => 010100
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [2,3,1,5,4,6,7] => [3,1,2,5,4,6,7] => 100100
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => 100100
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 000100
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [4,5,3,2,1,6,7] => [5,4,3,1,2,6,7] => 111000
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [4,1,5,3,2,6,7] => [2,5,4,1,3,6,7] => 011000
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [4,2,5,3,1,6,7] => [5,2,4,1,3,6,7] => 101000
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [4,2,1,5,3,6,7] => [3,2,5,1,4,6,7] => 101000
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [1,4,2,5,3,6,7] => [1,3,5,2,4,6,7] => 001000
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [4,3,5,2,1,6,7] => [5,4,2,1,3,6,7] => 111000
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [4,3,1,5,2,6,7] => [3,5,2,1,4,6,7] => 011000
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [3,4,5,2,1,6,7] => [5,4,1,2,3,6,7] => 110000
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [3,4,1,5,2,6,7] => [3,5,1,2,4,6,7] => 010000
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [4,3,2,5,1,6,7] => [5,3,2,1,4,6,7] => 111000
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [2,4,3,5,1,6,7] => [5,1,3,2,4,6,7] => 101000
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [3,4,2,5,1,6,7] => [5,3,1,2,4,6,7] => 110000
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [3,2,4,5,1,6,7] => [5,2,1,3,4,6,7] => 110000
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => [5,1,2,3,4,6,7] => 100000
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => 111000
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => 011000
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [2,4,3,1,5,6,7] => [4,1,3,2,5,6,7] => 101000
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => 101000
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 001000
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [3,4,2,1,5,6,7] => [4,3,1,2,5,6,7] => 110000
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [3,1,4,2,5,6,7] => [2,4,1,3,5,6,7] => 010000
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [3,2,4,1,5,6,7] => [4,2,1,3,5,6,7] => 110000
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => [4,1,2,3,5,6,7] => 100000
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => 110000
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 010000
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => [3,1,2,4,5,6,7] => 100000
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => 100000
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 000000
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 1111111
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [1,8,7,6,5,4,3,2] => [1,8,7,6,5,4,3,2] => 0111111
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [2,8,7,6,5,4,3,1] => [8,1,7,6,5,4,3,2] => 1011111
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [2,1,8,7,6,5,4,3] => [2,1,8,7,6,5,4,3] => 1011111
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [1,2,8,7,6,5,4,3] => [1,2,8,7,6,5,4,3] => 0011111
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [3,8,7,6,5,4,2,1] => [8,7,1,6,5,4,3,2] => 1101111
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [3,1,8,7,6,5,4,2] => [2,8,1,7,6,5,4,3] => 0101111
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [3,2,8,7,6,5,4,1] => [8,2,1,7,6,5,4,3] => 1101111
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [2,3,8,7,6,5,4,1] => [8,1,2,7,6,5,4,3] => 1001111
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [3,2,1,8,7,6,5,4] => [3,2,1,8,7,6,5,4] => 1101111
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [1,3,2,8,7,6,5,4] => [1,3,2,8,7,6,5,4] => 0101111
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [2,3,1,8,7,6,5,4] => [3,1,2,8,7,6,5,4] => 1001111
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [2,1,3,8,7,6,5,4] => [2,1,3,8,7,6,5,4] => 1001111
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [1,2,3,8,7,6,5,4] => [1,2,3,8,7,6,5,4] => 0001111
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [4,8,7,6,5,3,2,1] => [8,7,6,1,5,4,3,2] => 1110111
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [4,1,8,7,6,5,3,2] => [2,8,7,1,6,5,4,3] => 0110111
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [4,2,8,7,6,5,3,1] => [8,2,7,1,6,5,4,3] => 1010111
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [7,6,8,4,5,3,2,1] => [4,2,1,8,7,6,5,3] => [3,2,8,1,7,6,5,4] => 1010111
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [6,7,8,4,5,3,2,1] => [1,4,2,8,7,6,5,3] => [1,3,8,2,7,6,5,4] => 0010111
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [8,7,5,4,6,3,2,1] => [4,3,8,7,6,5,2,1] => [8,7,2,1,6,5,4,3] => 1110111
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [3,4,8,7,6,5,2,1] => [8,7,1,2,6,5,4,3] => 1100111
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [4,3,2,8,7,6,5,1] => [8,3,2,1,7,6,5,4] => 1110111
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [8,5,6,4,7,3,2,1] => [2,4,3,8,7,6,5,1] => [8,1,3,2,7,6,5,4] => 1010111
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [8,6,4,5,7,3,2,1] => [3,4,2,8,7,6,5,1] => [8,3,1,2,7,6,5,4] => 1100111
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [8,5,4,6,7,3,2,1] => [3,2,4,8,7,6,5,1] => [8,2,1,3,7,6,5,4] => 1100111
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [2,3,4,8,7,6,5,1] => [8,1,2,3,7,6,5,4] => 1000111
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [4,3,2,1,8,7,6,5] => [4,3,2,1,8,7,6,5] => 1110111
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [1,4,3,2,8,7,6,5] => [1,4,3,2,8,7,6,5] => 0110111
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [2,4,3,1,8,7,6,5] => [4,1,3,2,8,7,6,5] => 1010111
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [2,1,4,3,8,7,6,5] => [2,1,4,3,8,7,6,5] => 1010111
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [1,2,4,3,8,7,6,5] => [1,2,4,3,8,7,6,5] => 0010111
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [7,6,4,5,8,3,2,1] => [3,4,2,1,8,7,6,5] => [4,3,1,2,8,7,6,5] => 1100111
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [6,7,4,5,8,3,2,1] => [3,1,4,2,8,7,6,5] => [2,4,1,3,8,7,6,5] => 0100111
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [7,5,4,6,8,3,2,1] => [3,2,4,1,8,7,6,5] => [4,2,1,3,8,7,6,5] => 1100111
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [2,3,4,1,8,7,6,5] => [4,1,2,3,8,7,6,5] => 1000111
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [3,2,1,4,8,7,6,5] => [3,2,1,4,8,7,6,5] => 1100111
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [1,3,2,4,8,7,6,5] => [1,3,2,4,8,7,6,5] => 0100111
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [2,3,1,4,8,7,6,5] => [3,1,2,4,8,7,6,5] => 1000111
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [2,1,3,4,8,7,6,5] => [2,1,3,4,8,7,6,5] => 1000111
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [1,2,3,4,8,7,6,5] => [1,2,3,4,8,7,6,5] => 0000111
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [5,8,7,6,4,3,2,1] => [8,7,6,5,1,4,3,2] => 1111011
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [5,1,8,7,6,4,3,2] => [2,8,7,6,1,5,4,3] => 0111011
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [5,2,8,7,6,4,3,1] => [8,2,7,6,1,5,4,3] => 1011011
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [5,2,1,8,7,6,4,3] => [3,2,8,7,1,6,5,4] => 1011011
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [5,3,8,7,6,4,2,1] => [8,7,2,6,1,5,4,3] => 1101011
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [5,3,1,8,7,6,4,2] => [3,8,2,7,1,6,5,4] => 0101011
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [8,5,6,7,3,4,2,1] => [2,5,3,8,7,6,4,1] => [8,1,3,7,2,6,5,4] => 1001011
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [7,6,5,8,3,4,2,1] => [5,3,2,1,8,7,6,4] => [4,3,2,8,1,7,6,5] => 1101011
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [2,1,5,3,8,7,6,4] => [2,1,4,8,3,7,6,5] => 1001011
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [1,2,5,3,8,7,6,4] => [1,2,4,8,3,7,6,5] => 0001011
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [7,8,6,4,3,5,2,1] => [5,4,1,8,7,6,3,2] => [3,8,7,2,1,6,5,4] => 0111011
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [5,4,2,8,7,6,3,1] => [8,3,7,2,1,6,5,4] => 1011011
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [4,5,8,7,6,3,2,1] => [8,7,6,1,2,5,4,3] => 1110011
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [4,1,5,2,8,7,6,3] => [2,4,8,1,3,7,6,5] => 0010011
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [5,4,3,8,7,6,2,1] => [8,7,3,2,1,6,5,4] => 1111011
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [5,4,3,1,8,7,6,2] => [4,8,3,2,1,7,6,5] => 0111011
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [7,8,5,3,4,6,2,1] => [4,5,3,1,8,7,6,2] => [4,8,3,1,2,7,6,5] => 0110011
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [3,4,5,8,7,6,2,1] => [8,7,1,2,3,6,5,4] => 1100011
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [7,8,3,4,5,6,2,1] => [3,4,5,1,8,7,6,2] => [4,8,1,2,3,7,6,5] => 0100011
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [5,4,3,2,8,7,6,1] => [8,4,3,2,1,7,6,5] => 1111011
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [8,6,4,5,3,7,2,1] => [3,5,4,2,8,7,6,1] => [8,4,1,3,2,7,6,5] => 1101011
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [8,5,4,6,3,7,2,1] => [3,2,5,4,8,7,6,1] => [8,2,1,4,3,7,6,5] => 1101011
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [4,3,5,2,8,7,6,1] => [8,4,2,1,3,7,6,5] => 1110011
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [4,3,2,5,8,7,6,1] => [8,3,2,1,4,7,6,5] => 1110011
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [8,5,3,4,6,7,2,1] => [3,4,2,5,8,7,6,1] => [8,3,1,2,4,7,6,5] => 1100011
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [2,3,4,5,8,7,6,1] => [8,1,2,3,4,7,6,5] => 1000011
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [5,4,3,2,1,8,7,6] => [5,4,3,2,1,8,7,6] => 1111011
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [1,5,4,3,2,8,7,6] => [1,5,4,3,2,8,7,6] => 0111011
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [7,5,6,4,3,8,2,1] => [2,5,4,3,1,8,7,6] => [5,1,4,3,2,8,7,6] => 1011011
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [2,1,5,4,3,8,7,6] => [2,1,5,4,3,8,7,6] => 1011011
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [1,2,5,4,3,8,7,6] => [1,2,5,4,3,8,7,6] => 0011011
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [7,6,4,5,3,8,2,1] => [3,5,4,2,1,8,7,6] => [5,4,1,3,2,8,7,6] => 1101011
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [6,7,4,5,3,8,2,1] => [3,1,5,4,2,8,7,6] => [2,5,1,4,3,8,7,6] => 0101011
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [3,2,5,4,1,8,7,6] => [5,2,1,4,3,8,7,6] => 1101011
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [7,4,5,6,3,8,2,1] => [2,3,5,4,1,8,7,6] => [5,1,2,4,3,8,7,6] => 1001011
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [2,1,3,5,4,8,7,6] => [2,1,3,5,4,8,7,6] => 1001011
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [1,2,3,5,4,8,7,6] => [1,2,3,5,4,8,7,6] => 0001011
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [7,6,5,3,4,8,2,1] => [4,5,3,2,1,8,7,6] => [5,4,3,1,2,8,7,6] => 1110011
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [7,6,4,3,5,8,2,1] => [4,3,5,2,1,8,7,6] => [5,4,2,1,3,8,7,6] => 1110011
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [7,6,3,4,5,8,2,1] => [3,4,5,2,1,8,7,6] => [5,4,1,2,3,8,7,6] => 1100011
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [7,5,4,3,6,8,2,1] => [4,3,2,5,1,8,7,6] => [5,3,2,1,4,8,7,6] => 1110011
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [7,5,3,4,6,8,2,1] => [3,4,2,5,1,8,7,6] => [5,3,1,2,4,8,7,6] => 1100011
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [2,3,4,5,1,8,7,6] => [5,1,2,3,4,8,7,6] => 1000011
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [4,3,2,1,5,8,7,6] => [4,3,2,1,5,8,7,6] => 1110011
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [1,2,4,3,5,8,7,6] => [1,2,4,3,5,8,7,6] => 0010011
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [6,5,3,4,7,8,2,1] => [3,4,2,1,5,8,7,6] => [4,3,1,2,5,8,7,6] => 1100011
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [2,3,4,1,5,8,7,6] => [4,1,2,3,5,8,7,6] => 1000011
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [3,2,1,4,5,8,7,6] => [3,2,1,4,5,8,7,6] => 1100011
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [2,1,3,4,5,8,7,6] => [2,1,3,4,5,8,7,6] => 1000011
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,8,7,6] => 0000011
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [6,8,7,5,4,3,2,1] => [8,7,6,5,4,1,3,2] => 1111101
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [6,1,8,7,5,4,3,2] => [2,8,7,6,5,1,4,3] => 0111101
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [6,2,8,7,5,4,3,1] => [8,2,7,6,5,1,4,3] => 1011101
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [6,2,1,8,7,5,4,3] => [3,2,8,7,6,1,5,4] => 1011101
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [6,3,8,7,5,4,2,1] => [8,7,2,6,5,1,4,3] => 1101101
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,2,3,1] => [6,3,2,8,7,5,4,1] => [8,3,2,7,6,1,5,4] => 1101101
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,2,3,1] => [6,3,2,1,8,7,5,4] => [4,3,2,8,7,1,6,5] => 1101101
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [1,6,3,2,8,7,5,4] => [1,4,3,8,7,2,6,5] => 0101101
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,2,3,1] => [2,6,3,1,8,7,5,4] => [4,1,3,8,7,2,6,5] => 1001101
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [1,2,6,3,8,7,5,4] => [1,2,4,8,7,3,6,5] => 0001101
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [6,4,8,7,5,3,2,1] => [8,7,6,2,5,1,4,3] => 1110101
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [6,4,2,8,7,5,3,1] => [8,3,7,2,6,1,5,4] => 1010101
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,2,3,1] => [6,4,2,1,8,7,5,3] => [4,3,8,2,7,1,6,5] => 1010101
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,2,3,1] => [1,6,4,2,8,7,5,3] => [1,4,8,3,7,2,6,5] => 0010101
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [6,4,3,8,7,5,2,1] => [8,7,3,2,6,1,5,4] => 1110101
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,2,3,1] => [3,6,4,8,7,5,2,1] => [8,7,1,3,6,2,5,4] => 1100101
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [8,6,5,4,7,2,3,1] => [6,4,3,2,8,7,5,1] => [8,4,3,2,7,1,6,5] => 1110101
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [2,6,4,3,8,7,5,1] => [8,1,4,3,7,2,6,5] => 1010101
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,2,3,1] => [3,6,4,2,8,7,5,1] => [8,4,1,3,7,2,6,5] => 1100101
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,2,3,1] => [6,4,3,2,1,8,7,5] => [5,4,3,2,8,1,7,6] => 1110101
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [2,6,4,3,1,8,7,5] => [5,1,4,3,8,2,7,6] => 1010101
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [2,1,6,4,3,8,7,5] => [2,1,5,4,8,3,7,6] => 1010101
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,2,3,1] => [3,1,6,4,2,8,7,5] => [2,5,1,4,8,3,7,6] => 0100101
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [1,2,3,6,4,8,7,5] => [1,2,3,5,8,4,7,6] => 0000101
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => [8,7,6,5,2,1,4,3] => 1111101
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,2,4,1] => [6,5,1,8,7,4,3,2] => [3,8,7,6,2,1,5,4] => 0111101
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,2,4,1] => [6,5,2,8,7,4,3,1] => [8,3,7,6,2,1,5,4] => 1011101
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [6,5,2,1,8,7,4,3] => [4,3,8,7,2,1,6,5] => 1011101
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [6,5,3,8,7,4,2,1] => [8,7,3,6,2,1,5,4] => 1101101
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => [8,4,3,7,2,1,6,5] => 1101101
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [6,5,3,2,1,8,7,4] => [5,4,3,8,2,1,7,6] => 1101101
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [1,6,5,3,2,8,7,4] => [1,5,4,8,3,2,7,6] => 0101101
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [1,2,6,5,3,8,7,4] => [1,2,5,8,4,3,7,6] => 0001101
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [5,6,8,7,4,3,2,1] => [8,7,6,5,1,2,4,3] => 1111001
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,2,3,4,1] => [5,6,2,8,7,4,3,1] => [8,3,7,6,1,2,5,4] => 1011001
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,2,3,4,1] => [5,6,2,1,8,7,4,3] => [4,3,8,7,1,2,6,5] => 1011001
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [5,1,6,2,8,7,4,3] => [2,4,8,7,1,3,6,5] => 0011001
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,2,3,4,1] => [5,6,3,8,7,4,2,1] => [8,7,3,6,1,2,5,4] => 1101001
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,2,3,4,1] => [5,6,3,2,8,7,4,1] => [8,4,3,7,1,2,6,5] => 1101001
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => [8,2,4,7,1,3,6,5] => 1001001
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,2,3,4,1] => [5,6,3,2,1,8,7,4] => [5,4,3,8,1,2,7,6] => 1101001
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [6,7,5,8,2,3,4,1] => [5,1,6,3,2,8,7,4] => [2,5,4,8,1,3,7,6] => 0101001
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [1,5,2,6,3,8,7,4] => [1,3,5,8,2,4,7,6] => 0001001
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [8,7,6,4,3,2,5,1] => [6,5,4,8,7,3,2,1] => [8,7,6,3,2,1,5,4] => 1111101
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [7,8,6,4,3,2,5,1] => [6,5,4,1,8,7,3,2] => [4,8,7,3,2,1,6,5] => 0111101
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [6,5,4,2,1,8,7,3] => [5,4,8,3,2,1,7,6] => 1011101
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [6,7,8,4,3,2,5,1] => [1,6,5,4,2,8,7,3] => [1,5,8,4,3,2,7,6] => 0011101
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [4,6,5,8,7,3,2,1] => [8,7,6,1,3,2,5,4] => 1110101
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [7,8,6,3,4,2,5,1] => [4,6,5,1,8,7,3,2] => [4,8,7,1,3,2,6,5] => 0110101
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [4,6,5,2,8,7,3,1] => [8,4,7,1,3,2,6,5] => 1010101
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [4,6,5,2,1,8,7,3] => [5,4,8,1,3,2,7,6] => 1010101
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [4,1,6,5,2,8,7,3] => [2,5,8,1,4,3,7,6] => 0010101
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,2,3,5,1] => [5,6,4,2,8,7,3,1] => [8,4,7,3,1,2,6,5] => 1011001
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [5,1,6,4,2,8,7,3] => [2,5,8,4,1,3,7,6] => 0011001
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [8,6,7,3,2,4,5,1] => [5,4,6,2,8,7,3,1] => [8,4,7,2,1,3,6,5] => 1011001
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [5,4,1,6,2,8,7,3] => [3,5,8,2,1,4,7,6] => 0011001
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [8,7,6,2,3,4,5,1] => [4,5,6,8,7,3,2,1] => [8,7,6,1,2,3,5,4] => 1110001
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [7,8,6,2,3,4,5,1] => [4,5,6,1,8,7,3,2] => [4,8,7,1,2,3,6,5] => 0110001
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [4,5,6,2,8,7,3,1] => [8,4,7,1,2,3,6,5] => 1010001
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [7,6,8,2,3,4,5,1] => [4,5,6,2,1,8,7,3] => [5,4,8,1,2,3,7,6] => 1010001
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [4,5,1,6,2,8,7,3] => [3,5,8,1,2,4,7,6] => 0010001
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [6,5,4,3,8,7,2,1] => [8,7,4,3,2,1,6,5] => 1111101
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [6,5,4,3,1,8,7,2] => [5,8,4,3,2,1,7,6] => 0111101
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [4,6,5,3,8,7,2,1] => [8,7,4,1,3,2,6,5] => 1110101
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [4,6,5,3,1,8,7,2] => [5,8,4,1,3,2,7,6] => 0110101
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [4,3,6,5,8,7,2,1] => [8,7,2,1,4,3,6,5] => 1110101
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [8,7,5,3,2,4,6,1] => [5,4,6,3,8,7,2,1] => [8,7,4,2,1,3,6,5] => 1111001
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [8,7,4,3,2,5,6,1] => [5,4,3,6,8,7,2,1] => [8,7,3,2,1,4,6,5] => 1111001
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [7,8,4,3,2,5,6,1] => [5,4,3,6,1,8,7,2] => [5,8,3,2,1,4,7,6] => 0111001
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [7,8,3,4,2,5,6,1] => [3,5,4,6,1,8,7,2] => [5,8,1,3,2,4,7,6] => 0101001
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [7,8,4,2,3,5,6,1] => [4,5,3,6,1,8,7,2] => [5,8,3,1,2,4,7,6] => 0110001
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [3,4,5,6,8,7,2,1] => [8,7,1,2,3,4,6,5] => 1100001
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [3,4,5,6,1,8,7,2] => [5,8,1,2,3,4,7,6] => 0100001
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [6,5,4,3,2,8,7,1] => [8,5,4,3,2,1,7,6] => 1111101
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [8,5,6,4,3,2,7,1] => [2,6,5,4,3,8,7,1] => [8,1,5,4,3,2,7,6] => 1011101
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [3,2,6,5,4,8,7,1] => [8,2,1,5,4,3,7,6] => 1101101
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [8,6,5,3,4,2,7,1] => [4,6,5,3,2,8,7,1] => [8,5,4,1,3,2,7,6] => 1110101
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [4,2,6,5,3,8,7,1] => [8,2,5,1,4,3,7,6] => 1010101
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [4,3,6,5,2,8,7,1] => [8,5,2,1,4,3,7,6] => 1110101
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [8,6,3,4,5,2,7,1] => [3,4,6,5,2,8,7,1] => [8,5,1,2,4,3,7,6] => 1100101
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [4,3,2,6,5,8,7,1] => [8,3,2,1,5,4,7,6] => 1110101
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [2,4,3,6,5,8,7,1] => [8,1,3,2,5,4,7,6] => 1010101
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [8,4,3,5,6,2,7,1] => [3,2,4,6,5,8,7,1] => [8,2,1,3,5,4,7,6] => 1100101
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [2,3,4,6,5,8,7,1] => [8,1,2,3,5,4,7,6] => 1000101
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [8,5,6,4,2,3,7,1] => [5,2,6,4,3,8,7,1] => [8,2,5,4,1,3,7,6] => 1011001
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [8,6,4,5,2,3,7,1] => [5,3,6,4,2,8,7,1] => [8,5,2,4,1,3,7,6] => 1101001
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [8,6,5,3,2,4,7,1] => [5,4,6,3,2,8,7,1] => [8,5,4,2,1,3,7,6] => 1111001
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [8,6,4,3,2,5,7,1] => [5,4,3,6,2,8,7,1] => [8,5,3,2,1,4,7,6] => 1111001
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [4,5,3,6,2,8,7,1] => [8,5,3,1,2,4,7,6] => 1110001
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [5,4,3,2,6,8,7,1] => [8,4,3,2,1,5,7,6] => 1111001
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [8,4,5,3,2,6,7,1] => [2,5,4,3,6,8,7,1] => [8,1,4,3,2,5,7,6] => 1011001
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [3,5,4,2,6,8,7,1] => [8,4,1,3,2,5,7,6] => 1101001
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [8,3,4,5,2,6,7,1] => [2,3,5,4,6,8,7,1] => [8,1,2,4,3,5,7,6] => 1001001
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [8,5,4,2,3,6,7,1] => [4,5,3,2,6,8,7,1] => [8,4,3,1,2,5,7,6] => 1110001
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [8,4,5,2,3,6,7,1] => [4,2,5,3,6,8,7,1] => [8,2,4,1,3,5,7,6] => 1010001
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [8,4,3,2,5,6,7,1] => [4,3,2,5,6,8,7,1] => [8,3,2,1,4,5,7,6] => 1110001
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [2,4,3,5,6,8,7,1] => [8,1,3,2,4,5,7,6] => 1010001
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [8,4,2,3,5,6,7,1] => [3,4,2,5,6,8,7,1] => [8,3,1,2,4,5,7,6] => 1100001
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [3,2,4,5,6,8,7,1] => [8,2,1,3,4,5,7,6] => 1100001
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,8,7,1] => [8,1,2,3,4,5,7,6] => 1000001
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [6,5,4,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => 1111101
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [1,6,5,4,3,2,8,7] => [1,6,5,4,3,2,8,7] => 0111101
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [7,5,6,4,3,2,8,1] => [2,6,5,4,3,1,8,7] => [6,1,5,4,3,2,8,7] => 1011101
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [2,1,6,5,4,3,8,7] => [2,1,6,5,4,3,8,7] => 1011101
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [3,6,5,4,2,1,8,7] => [6,5,1,4,3,2,8,7] => 1101101
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [7,4,5,6,3,2,8,1] => [2,3,6,5,4,1,8,7] => [6,1,2,5,4,3,8,7] => 1001101
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [3,2,1,6,5,4,8,7] => [3,2,1,6,5,4,8,7] => 1101101
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [1,2,3,6,5,4,8,7] => [1,2,3,6,5,4,8,7] => 0001101
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [7,6,5,3,4,2,8,1] => [4,6,5,3,2,1,8,7] => [6,5,4,1,3,2,8,7] => 1110101
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [4,2,6,5,3,1,8,7] => [6,2,5,1,4,3,8,7] => 1010101
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [4,2,1,6,5,3,8,7] => [3,2,6,1,5,4,8,7] => 1010101
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [5,6,7,3,4,2,8,1] => [1,4,2,6,5,3,8,7] => [1,3,6,2,5,4,8,7] => 0010101
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [7,6,4,3,5,2,8,1] => [4,3,6,5,2,1,8,7] => [6,5,2,1,4,3,8,7] => 1110101
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [7,6,3,4,5,2,8,1] => [3,4,6,5,2,1,8,7] => [6,5,1,2,4,3,8,7] => 1100101
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [4,3,2,6,5,1,8,7] => [6,3,2,1,5,4,8,7] => 1110101
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [2,4,3,6,5,1,8,7] => [6,1,3,2,5,4,8,7] => 1010101
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [7,5,3,4,6,2,8,1] => [3,4,2,6,5,1,8,7] => [6,3,1,2,5,4,8,7] => 1100101
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [4,3,2,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => 1110101
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [2,4,3,1,6,5,8,7] => [4,1,3,2,6,5,8,7] => 1010101
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => 1010101
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => 0010101
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [3,4,2,1,6,5,8,7] => [4,3,1,2,6,5,8,7] => 1100101
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [3,1,4,2,6,5,8,7] => [2,4,1,3,6,5,8,7] => 0100101
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [3,2,4,1,6,5,8,7] => [4,2,1,3,6,5,8,7] => 1100101
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [1,3,2,4,6,5,8,7] => [1,3,2,4,6,5,8,7] => 0100101
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [2,1,3,4,6,5,8,7] => [2,1,3,4,6,5,8,7] => 1000101
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => 0000101
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [5,6,4,3,2,1,8,7] => [6,5,4,3,1,2,8,7] => 1111001
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [5,1,6,4,3,2,8,7] => [2,6,5,4,1,3,8,7] => 0111001
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,2,3,8,1] => [5,2,1,6,4,3,8,7] => [3,2,6,5,1,4,8,7] => 1011001
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [5,3,1,6,4,2,8,7] => [3,6,2,5,1,4,8,7] => 0101001
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,2,3,8,1] => [5,3,2,6,4,1,8,7] => [6,3,2,5,1,4,8,7] => 1101001
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,2,3,8,1] => [5,3,2,1,6,4,8,7] => [4,3,2,6,1,5,8,7] => 1101001
[.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [5,6,4,7,2,3,8,1] => [1,5,3,2,6,4,8,7] => [1,4,3,6,2,5,8,7] => 0101001
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [2,5,3,1,6,4,8,7] => [4,1,3,6,2,5,8,7] => 1001001
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [2,1,5,3,6,4,8,7] => [2,1,4,6,3,5,8,7] => 1001001
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [1,2,5,3,6,4,8,7] => [1,2,4,6,3,5,8,7] => 0001001
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [7,6,5,3,2,4,8,1] => [5,4,6,3,2,1,8,7] => [6,5,4,2,1,3,8,7] => 1111001
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [6,7,5,3,2,4,8,1] => [5,4,1,6,3,2,8,7] => [3,6,5,2,1,4,8,7] => 0111001
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [4,5,6,3,2,1,8,7] => [6,5,4,1,2,3,8,7] => 1110001
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [4,1,5,2,6,3,8,7] => [2,4,6,1,3,5,8,7] => 0010001
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [5,4,3,1,6,2,8,7] => [4,6,3,2,1,5,8,7] => 0111001
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [4,3,5,6,2,1,8,7] => [6,5,2,1,3,4,8,7] => 1110001
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [4,3,5,1,6,2,8,7] => [4,6,2,1,3,5,8,7] => 0110001
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [7,6,2,3,4,5,8,1] => [3,4,5,6,2,1,8,7] => [6,5,1,2,3,4,8,7] => 1100001
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [3,4,5,1,6,2,8,7] => [4,6,1,2,3,5,8,7] => 0100001
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [7,5,4,3,2,6,8,1] => [5,4,3,2,6,1,8,7] => [6,4,3,2,1,5,8,7] => 1111001
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [7,4,3,5,2,6,8,1] => [3,2,5,4,6,1,8,7] => [6,2,1,4,3,5,8,7] => 1101001
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [4,5,3,2,6,1,8,7] => [6,4,3,1,2,5,8,7] => 1110001
[.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [4,2,5,3,6,1,8,7] => [6,2,4,1,3,5,8,7] => 1010001
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => [6,4,2,1,3,5,8,7] => 1110001
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [7,4,3,2,5,6,8,1] => [4,3,2,5,6,1,8,7] => [6,3,2,1,4,5,8,7] => 1110001
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [7,4,2,3,5,6,8,1] => [3,4,2,5,6,1,8,7] => [6,3,1,2,4,5,8,7] => 1100001
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [2,3,4,5,6,1,8,7] => [6,1,2,3,4,5,8,7] => 1000001
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [5,4,3,2,1,6,8,7] => [5,4,3,2,1,6,8,7] => 1111001
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [1,2,5,4,3,6,8,7] => [1,2,5,4,3,6,8,7] => 0011001
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [2,3,5,4,1,6,8,7] => [5,1,2,4,3,6,8,7] => 1001001
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [2,1,3,5,4,6,8,7] => [2,1,3,5,4,6,8,7] => 1001001
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [1,2,3,5,4,6,8,7] => [1,2,3,5,4,6,8,7] => 0001001
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [5,4,6,2,3,7,8,1] => [4,2,1,5,3,6,8,7] => [3,2,5,1,4,6,8,7] => 1010001
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [4,5,6,2,3,7,8,1] => [1,4,2,5,3,6,8,7] => [1,3,5,2,4,6,8,7] => 0010001
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [5,6,2,3,4,7,8,1] => [3,4,1,5,2,6,8,7] => [3,5,1,2,4,6,8,7] => 0100001
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [2,3,4,5,1,6,8,7] => [5,1,2,3,4,6,8,7] => 1000001
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [4,3,2,1,5,6,8,7] => [4,3,2,1,5,6,8,7] => 1110001
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [1,4,3,2,5,6,8,7] => [1,4,3,2,5,6,8,7] => 0110001
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [2,1,4,3,5,6,8,7] => [2,1,4,3,5,6,8,7] => 1010001
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => 0010001
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [5,4,2,3,6,7,8,1] => [3,4,2,1,5,6,8,7] => [4,3,1,2,5,6,8,7] => 1100001
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [5,3,2,4,6,7,8,1] => [3,2,4,1,5,6,8,7] => [4,2,1,3,5,6,8,7] => 1100001
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [2,3,4,1,5,6,8,7] => [4,1,2,3,5,6,8,7] => 1000001
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [3,2,1,4,5,6,8,7] => [3,2,1,4,5,6,8,7] => 1100001
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => 0100001
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [2,3,1,4,5,6,8,7] => [3,1,2,4,5,6,8,7] => 1000001
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => 1000001
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => 0000001
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [7,8,6,5,4,3,2,1] => [8,7,6,5,4,3,1,2] => 1111110
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [7,1,8,6,5,4,3,2] => [2,8,7,6,5,4,1,3] => 0111110
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [7,2,8,6,5,4,3,1] => [8,2,7,6,5,4,1,3] => 1011110
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,3,1,2] => [7,2,1,8,6,5,4,3] => [3,2,8,7,6,5,1,4] => 1011110
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [1,7,2,8,6,5,4,3] => [1,3,8,7,6,5,2,4] => 0011110
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [7,3,8,6,5,4,2,1] => [8,7,2,6,5,4,1,3] => 1101110
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [7,3,1,8,6,5,4,2] => [3,8,2,7,6,5,1,4] => 0101110
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [7,3,2,8,6,5,4,1] => [8,3,2,7,6,5,1,4] => 1101110
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,3,1,2] => [7,3,2,1,8,6,5,4] => [4,3,2,8,7,6,1,5] => 1101110
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [2,1,7,3,8,6,5,4] => [2,1,4,8,7,6,3,5] => 1001110
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [1,2,7,3,8,6,5,4] => [1,2,4,8,7,6,3,5] => 0001110
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [7,4,8,6,5,3,2,1] => [8,7,6,2,5,4,1,3] => 1110110
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [7,4,1,8,6,5,3,2] => [3,8,7,2,6,5,1,4] => 0110110
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [7,4,2,8,6,5,3,1] => [8,3,7,2,6,5,1,4] => 1010110
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,3,1,2] => [1,7,4,2,8,6,5,3] => [1,4,8,3,7,6,2,5] => 0010110
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [7,4,3,8,6,5,2,1] => [8,7,3,2,6,5,1,4] => 1110110
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,3,1,2] => [3,7,4,1,8,6,5,2] => [4,8,1,3,7,6,2,5] => 0100110
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [8,5,4,6,7,3,1,2] => [3,2,7,4,8,6,5,1] => [8,2,1,4,7,6,3,5] => 1100110
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,3,1,2] => [7,4,3,2,1,8,6,5] => [5,4,3,2,8,7,1,6] => 1110110
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,3,1,2] => [2,1,7,4,3,8,6,5] => [2,1,5,4,8,7,3,6] => 1010110
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,3,1,2] => [3,1,7,4,2,8,6,5] => [2,5,1,4,8,7,3,6] => 0100110
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,3,1,2] => [1,3,2,7,4,8,6,5] => [1,3,2,5,8,7,4,6] => 0100110
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,3,1,2] => [2,1,3,7,4,8,6,5] => [2,1,3,5,8,7,4,6] => 1000110
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [1,2,3,7,4,8,6,5] => [1,2,3,5,8,7,4,6] => 0000110
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [7,5,8,6,4,3,2,1] => [8,7,6,5,2,4,1,3] => 1111010
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [7,5,1,8,6,4,3,2] => [3,8,7,6,2,5,1,4] => 0111010
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,4,1,2] => [7,5,2,1,8,6,4,3] => [4,3,8,7,2,6,1,5] => 1011010
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [1,7,5,2,8,6,4,3] => [1,4,8,7,3,6,2,5] => 0011010
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [7,5,3,8,6,4,2,1] => [8,7,3,6,2,5,1,4] => 1101010
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => [4,8,3,7,2,6,1,5] => 0101010
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,4,1,2] => [7,5,3,2,8,6,4,1] => [8,4,3,7,2,6,1,5] => 1101010
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [2,7,5,3,8,6,4,1] => [8,1,4,7,3,6,2,5] => 1001010
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [7,5,3,2,1,8,6,4] => [5,4,3,8,2,7,1,6] => 1101010
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [1,7,5,3,2,8,6,4] => [1,5,4,8,3,7,2,6] => 0101010
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [2,7,5,3,1,8,6,4] => [5,1,4,8,3,7,2,6] => 1001010
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [2,1,7,5,3,8,6,4] => [2,1,5,8,4,7,3,6] => 1001010
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [1,2,7,5,3,8,6,4] => [1,2,5,8,4,7,3,6] => 0001010
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [4,7,5,8,6,3,2,1] => [8,7,6,1,3,5,2,4] => 1110010
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [4,7,5,2,8,6,3,1] => [8,4,7,1,3,6,2,5] => 1010010
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [7,5,4,3,1,8,6,2] => [5,8,4,3,2,7,1,6] => 0111010
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [8,7,4,5,3,6,1,2] => [3,7,5,4,8,6,2,1] => [8,7,1,4,3,6,2,5] => 1101010
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [3,7,5,4,1,8,6,2] => [5,8,1,4,3,7,2,6] => 0101010
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [4,7,5,3,1,8,6,2] => [5,8,4,1,3,7,2,6] => 0110010
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [4,3,7,5,1,8,6,2] => [5,8,2,1,4,7,3,6] => 0110010
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [8,7,3,4,5,6,1,2] => [3,4,7,5,8,6,2,1] => [8,7,1,2,4,6,3,5] => 1100010
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [3,4,7,5,1,8,6,2] => [5,8,1,2,4,7,3,6] => 0100010
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,3,7,1,2] => [7,5,4,3,2,8,6,1] => [8,5,4,3,2,7,1,6] => 1111010
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [8,5,4,3,6,7,1,2] => [4,3,2,7,5,8,6,1] => [8,3,2,1,5,7,4,6] => 1110010
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [8,5,3,4,6,7,1,2] => [3,4,2,7,5,8,6,1] => [8,3,1,2,5,7,4,6] => 1100010
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [3,2,4,7,5,8,6,1] => [8,2,1,3,5,7,4,6] => 1100010
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [2,3,4,7,5,8,6,1] => [8,1,2,3,5,7,4,6] => 1000010
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [7,5,4,3,2,1,8,6] => [6,5,4,3,2,8,1,7] => 1111010
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [7,5,6,4,3,8,1,2] => [2,7,5,4,3,1,8,6] => [6,1,5,4,3,8,2,7] => 1011010
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [2,1,7,5,4,3,8,6] => [2,1,6,5,4,8,3,7] => 1011010
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [5,6,7,4,3,8,1,2] => [1,2,7,5,4,3,8,6] => [1,2,6,5,4,8,3,7] => 0011010
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [3,1,7,5,4,2,8,6] => [2,6,1,5,4,8,3,7] => 0101010
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [3,2,1,7,5,4,8,6] => [3,2,1,6,5,8,4,7] => 1101010
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [1,3,2,7,5,4,8,6] => [1,3,2,6,5,8,4,7] => 0101010
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [5,4,6,7,3,8,1,2] => [2,1,3,7,5,4,8,6] => [2,1,3,6,5,8,4,7] => 1001010
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [4,5,6,7,3,8,1,2] => [1,2,3,7,5,4,8,6] => [1,2,3,6,5,8,4,7] => 0001010
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [7,6,5,3,4,8,1,2] => [4,7,5,3,2,1,8,6] => [6,5,4,1,3,8,2,7] => 1110010
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [7,5,6,3,4,8,1,2] => [4,2,7,5,3,1,8,6] => [6,2,5,1,4,8,3,7] => 1010010
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [5,6,7,3,4,8,1,2] => [1,4,2,7,5,3,8,6] => [1,3,6,2,5,8,4,7] => 0010010
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [7,6,3,4,5,8,1,2] => [3,4,7,5,2,1,8,6] => [6,5,1,2,4,8,3,7] => 1100010
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [7,5,4,3,6,8,1,2] => [4,3,2,7,5,1,8,6] => [6,3,2,1,5,8,4,7] => 1110010
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [7,5,3,4,6,8,1,2] => [3,4,2,7,5,1,8,6] => [6,3,1,2,5,8,4,7] => 1100010
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [2,3,4,7,5,1,8,6] => [6,1,2,3,5,8,4,7] => 1000010
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [4,3,2,1,7,5,8,6] => [4,3,2,1,6,8,5,7] => 1110010
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [2,1,4,3,7,5,8,6] => [2,1,4,3,6,8,5,7] => 1010010
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [4,5,6,3,7,8,1,2] => [1,2,4,3,7,5,8,6] => [1,2,4,3,6,8,5,7] => 0010010
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [6,5,3,4,7,8,1,2] => [3,4,2,1,7,5,8,6] => [4,3,1,2,6,8,5,7] => 1100010
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => [2,4,1,3,6,8,5,7] => 0100010
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => [4,2,1,3,6,8,5,7] => 1100010
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [2,3,4,1,7,5,8,6] => [4,1,2,3,6,8,5,7] => 1000010
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [3,2,1,4,7,5,8,6] => [3,2,1,4,6,8,5,7] => 1100010
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [1,3,2,4,7,5,8,6] => [1,3,2,4,6,8,5,7] => 0100010
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [5,3,4,6,7,8,1,2] => [2,3,1,4,7,5,8,6] => [3,1,2,4,6,8,5,7] => 1000010
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [1,2,3,4,7,5,8,6] => [1,2,3,4,6,8,5,7] => 0000010
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => [8,7,6,5,4,2,1,3] => 1111110
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [7,6,1,8,5,4,3,2] => [3,8,7,6,5,2,1,4] => 0111110
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => [4,3,8,7,6,2,1,5] => 1011110
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [8,7,5,6,4,2,1,3] => [7,6,3,8,5,4,2,1] => [8,7,3,6,5,2,1,4] => 1101110
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,2,1,3] => [7,6,3,2,8,5,4,1] => [8,4,3,7,6,2,1,5] => 1101110
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,2,1,3] => [1,7,6,3,2,8,5,4] => [1,5,4,8,7,3,2,6] => 0101110
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,2,1,3] => [2,7,6,3,1,8,5,4] => [5,1,4,8,7,3,2,6] => 1001110
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,2,1,3] => [2,1,7,6,3,8,5,4] => [2,1,5,8,7,4,3,6] => 1001110
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [1,2,7,6,3,8,5,4] => [1,2,5,8,7,4,3,6] => 0001110
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,2,1,3] => [7,6,4,8,5,3,2,1] => [8,7,6,3,5,2,1,4] => 1110110
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,2,1,3] => [7,6,4,2,8,5,3,1] => [8,4,7,3,6,2,1,5] => 1010110
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [7,6,8,4,5,2,1,3] => [7,6,4,2,1,8,5,3] => [5,4,8,3,7,2,1,6] => 1010110
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,2,1,3] => [3,7,6,4,8,5,2,1] => [8,7,1,4,6,3,2,5] => 1100110
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,2,1,3] => [7,6,4,3,2,8,5,1] => [8,5,4,3,7,2,1,6] => 1110110
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,2,1,3] => [3,7,6,4,2,8,5,1] => [8,5,1,4,7,3,2,6] => 1100110
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,2,1,3] => [7,6,4,3,2,1,8,5] => [6,5,4,3,8,2,1,7] => 1110110
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,2,1,3] => [1,7,6,4,3,2,8,5] => [1,6,5,4,8,3,2,7] => 0110110
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,2,1,3] => [2,7,6,4,3,1,8,5] => [6,1,5,4,8,3,2,7] => 1010110
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,2,1,3] => [3,7,6,4,2,1,8,5] => [6,5,1,4,8,3,2,7] => 1100110
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,2,1,3] => [3,2,7,6,4,1,8,5] => [6,2,1,5,8,4,3,7] => 1100110
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [1,2,3,7,6,4,8,5] => [1,2,3,6,8,5,4,7] => 0000110
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [6,7,8,5,4,3,2,1] => [8,7,6,5,4,1,2,3] => 1111100
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [6,7,1,8,5,4,3,2] => [3,8,7,6,5,1,2,4] => 0111100
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,1,2,3] => [6,7,2,1,8,5,4,3] => [4,3,8,7,6,1,2,5] => 1011100
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [6,1,7,2,8,5,4,3] => [2,4,8,7,6,1,3,5] => 0011100
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,1,2,3] => [6,7,3,1,8,5,4,2] => [4,8,3,7,6,1,2,5] => 0101100
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,1,2,3] => [6,2,7,3,1,8,5,4] => [5,2,4,8,7,1,3,6] => 1001100
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,1,2,3] => [6,2,1,7,3,8,5,4] => [3,2,5,8,7,1,4,6] => 1001100
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [1,6,2,7,3,8,5,4] => [1,3,5,8,7,2,4,6] => 0001100
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => [6,7,4,8,5,3,2,1] => [8,7,6,3,5,1,2,4] => 1110100
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [6,7,4,2,8,5,3,1] => [8,4,7,3,6,1,2,5] => 1010100
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,1,2,3] => [6,1,7,4,2,8,5,3] => [2,5,8,4,7,1,3,6] => 0010100
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,1,2,3] => [6,7,4,3,8,5,2,1] => [8,7,4,3,6,1,2,5] => 1110100
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,1,2,3] => [6,7,4,3,1,8,5,2] => [5,8,4,3,7,1,2,6] => 0110100
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [6,3,7,4,8,5,2,1] => [8,7,2,4,6,1,3,5] => 1100100
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [6,3,7,4,1,8,5,2] => [5,8,2,4,7,1,3,6] => 0100100
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,1,2,3] => [6,3,7,4,2,8,5,1] => [8,5,2,4,7,1,3,6] => 1100100
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,1,2,3] => [6,3,2,7,4,8,5,1] => [8,3,2,5,7,1,4,6] => 1100100
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [2,6,3,7,4,8,5,1] => [8,1,3,5,7,2,4,6] => 1000100
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [6,7,4,3,2,1,8,5] => [6,5,4,3,8,1,2,7] => 1110100
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,1,2,3] => [6,1,7,4,3,2,8,5] => [2,6,5,4,8,1,3,7] => 0110100
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,1,2,3] => [6,2,7,4,3,1,8,5] => [6,2,5,4,8,1,3,7] => 1010100
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,1,2,3] => [1,6,2,7,4,3,8,5] => [1,3,6,5,8,2,4,7] => 0010100
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,1,2,3] => [6,3,7,4,2,1,8,5] => [6,5,2,4,8,1,3,7] => 1100100
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [6,3,1,7,4,2,8,5] => [3,6,2,5,8,1,4,7] => 0100100
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [6,3,2,7,4,1,8,5] => [6,3,2,5,8,1,4,7] => 1100100
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,1,2,3] => [2,6,3,7,4,1,8,5] => [6,1,3,5,8,2,4,7] => 1000100
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [6,3,2,1,7,4,8,5] => [4,3,2,6,8,1,5,7] => 1100100
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,1,2,3] => [1,6,3,2,7,4,8,5] => [1,4,3,6,8,2,5,7] => 0100100
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [6,4,5,7,8,1,2,3] => [2,6,3,1,7,4,8,5] => [4,1,3,6,8,2,5,7] => 1000100
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => [2,1,4,6,8,3,5,7] => 1000100
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [1,2,6,3,7,4,8,5] => [1,2,4,6,8,3,5,7] => 0000100
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [7,6,5,8,4,3,2,1] => [8,7,6,5,3,2,1,4] => 1111110
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,2,1,4] => [7,6,5,1,8,4,3,2] => [4,8,7,6,3,2,1,5] => 0111110
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [7,6,5,2,8,4,3,1] => [8,4,7,6,3,2,1,5] => 1011110
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,2,1,4] => [7,6,5,2,1,8,4,3] => [5,4,8,7,3,2,1,6] => 1011110
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,2,1,4] => [1,7,6,5,2,8,4,3] => [1,5,8,7,4,3,2,6] => 0011110
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [7,6,5,3,8,4,2,1] => [8,7,4,6,3,2,1,5] => 1101110
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [7,6,5,3,1,8,4,2] => [5,8,4,7,3,2,1,6] => 0101110
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [7,6,5,3,2,8,4,1] => [8,5,4,7,3,2,1,6] => 1101110
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => [6,5,4,8,3,2,1,7] => 1101110
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [1,7,6,5,3,2,8,4] => [1,6,5,8,4,3,2,7] => 0101110
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,2,1,4] => [2,7,6,5,3,1,8,4] => [6,1,5,8,4,3,2,7] => 1001110
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [2,1,7,6,5,3,8,4] => [2,1,6,8,5,4,3,7] => 1001110
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [1,2,7,6,5,3,8,4] => [1,2,6,8,5,4,3,7] => 0001110
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [5,7,6,8,4,3,2,1] => [8,7,6,5,1,3,2,4] => 1111010
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,3,1,4] => [5,7,6,1,8,4,3,2] => [4,8,7,6,1,3,2,5] => 0111010
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,3,1,4] => [5,7,6,2,1,8,4,3] => [5,4,8,7,1,3,2,6] => 1011010
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [6,7,8,5,2,3,1,4] => [5,1,7,6,2,8,4,3] => [2,5,8,7,1,4,3,6] => 0011010
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [5,7,6,3,1,8,4,2] => [5,8,4,7,1,3,2,6] => 0101010
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,3,1,4] => [5,7,6,3,2,8,4,1] => [8,5,4,7,1,3,2,6] => 1101010
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [5,1,7,6,3,2,8,4] => [2,6,5,8,1,4,3,7] => 0101010
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => [6,2,5,8,1,4,3,7] => 1001010
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [6,5,7,8,2,3,1,4] => [5,2,1,7,6,3,8,4] => [3,2,6,8,1,5,4,7] => 1001010
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [1,5,2,7,6,3,8,4] => [1,3,6,8,2,5,4,7] => 0001010
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [6,7,5,8,4,3,2,1] => [8,7,6,5,3,1,2,4] => 1111100
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,1,2,4] => [6,7,5,1,8,4,3,2] => [4,8,7,6,3,1,2,5] => 0111100
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,1,2,4] => [6,7,5,2,8,4,3,1] => [8,4,7,6,3,1,2,5] => 1011100
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,1,2,4] => [6,7,5,2,1,8,4,3] => [5,4,8,7,3,1,2,6] => 1011100
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [6,7,5,3,1,8,4,2] => [5,8,4,7,3,1,2,6] => 0101100
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,1,2,4] => [6,7,5,3,2,8,4,1] => [8,5,4,7,3,1,2,6] => 1101100
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => [2,6,5,8,4,1,3,7] => 0101100
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [6,2,7,5,3,1,8,4] => [6,2,5,8,4,1,3,7] => 1001100
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [6,2,1,7,5,3,8,4] => [3,2,6,8,5,1,4,7] => 1001100
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [1,6,2,7,5,3,8,4] => [1,3,6,8,5,2,4,7] => 0001100
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [6,5,7,8,4,3,2,1] => [8,7,6,5,2,1,3,4] => 1111100
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [6,5,7,1,8,4,3,2] => [4,8,7,6,2,1,3,5] => 0111100
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,1,3,4] => [6,5,7,2,1,8,4,3] => [5,4,8,7,2,1,3,6] => 1011100
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [6,5,7,3,1,8,4,2] => [5,8,4,7,2,1,3,6] => 0101100
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,1,3,4] => [6,5,7,3,2,8,4,1] => [8,5,4,7,2,1,3,6] => 1101100
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [8,5,6,7,2,1,3,4] => [6,5,2,7,3,8,4,1] => [8,3,5,7,2,1,4,6] => 1001100
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [7,5,6,8,2,1,3,4] => [6,5,2,7,3,1,8,4] => [6,3,5,8,2,1,4,7] => 1001100
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => [4,3,6,8,2,1,5,7] => 1001100
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [1,6,5,2,7,3,8,4] => [1,4,6,8,3,2,5,7] => 0001100
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [5,6,7,8,4,3,2,1] => [8,7,6,5,1,2,3,4] => 1111000
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [5,6,7,1,8,4,3,2] => [4,8,7,6,1,2,3,5] => 0111000
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [5,6,7,2,8,4,3,1] => [8,4,7,6,1,2,3,5] => 1011000
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [5,6,7,2,1,8,4,3] => [5,4,8,7,1,2,3,6] => 1011000
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [5,6,1,7,2,8,4,3] => [3,5,8,7,1,2,4,6] => 0011000
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [5,6,7,3,8,4,2,1] => [8,7,4,6,1,2,3,5] => 1101000
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [5,6,7,3,1,8,4,2] => [5,8,4,7,1,2,3,6] => 0101000
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [5,6,7,3,2,8,4,1] => [8,5,4,7,1,2,3,6] => 1101000
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [5,6,2,7,3,8,4,1] => [8,3,5,7,1,2,4,6] => 1001000
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [5,6,7,3,2,1,8,4] => [6,5,4,8,1,2,3,7] => 1101000
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [5,6,1,7,3,2,8,4] => [3,6,5,8,1,2,4,7] => 0101000
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [5,6,2,7,3,1,8,4] => [6,3,5,8,1,2,4,7] => 1001000
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [5,6,2,1,7,3,8,4] => [4,3,6,8,1,2,5,7] => 1001000
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => [2,4,6,8,1,3,5,7] => 0001000
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => [8,7,6,4,3,2,1,5] => 1111110
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [7,6,5,4,1,8,3,2] => [5,8,7,4,3,2,1,6] => 0111110
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [8,6,7,4,3,2,1,5] => [7,6,5,4,2,8,3,1] => [8,5,7,4,3,2,1,6] => 1011110
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [7,6,5,4,2,1,8,3] => [6,5,8,4,3,2,1,7] => 1011110
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [1,7,6,5,4,2,8,3] => [1,6,8,5,4,3,2,7] => 0011110
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [4,7,6,5,8,3,2,1] => [8,7,6,1,4,3,2,5] => 1110110
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [7,8,6,3,4,2,1,5] => [4,7,6,5,1,8,3,2] => [5,8,7,1,4,3,2,6] => 0110110
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [6,7,8,3,4,2,1,5] => [4,1,7,6,5,2,8,3] => [2,6,8,1,5,4,3,7] => 0010110
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [5,7,6,4,8,3,2,1] => [8,7,6,4,1,3,2,5] => 1111010
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [5,4,7,6,8,3,2,1] => [8,7,6,2,1,4,3,5] => 1111010
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [8,6,7,3,2,4,1,5] => [5,4,7,6,2,8,3,1] => [8,5,7,2,1,4,3,6] => 1011010
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [6,7,8,3,2,4,1,5] => [5,4,1,7,6,2,8,3] => [3,6,8,2,1,5,4,7] => 0011010
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [4,5,7,6,8,3,2,1] => [8,7,6,1,2,4,3,5] => 1110010
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [6,7,8,2,3,4,1,5] => [4,5,1,7,6,2,8,3] => [3,6,8,1,2,5,4,7] => 0010010
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [6,7,5,4,8,3,2,1] => [8,7,6,4,3,1,2,5] => 1111100
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [6,1,7,5,4,2,8,3] => [2,6,8,5,4,1,3,7] => 0011100
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [6,4,7,5,8,3,2,1] => [8,7,6,2,4,1,3,5] => 1110100
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [6,4,7,5,2,8,3,1] => [8,5,7,2,4,1,3,6] => 1010100
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [6,4,1,7,5,2,8,3] => [3,6,8,2,5,1,4,7] => 0010100
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => [8,7,6,4,2,1,3,5] => 1111100
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,2,1,3,5] => [6,5,7,4,1,8,3,2] => [5,8,7,4,2,1,3,6] => 0111100
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [6,5,7,4,2,8,3,1] => [8,5,7,4,2,1,3,6] => 1011100
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [5,6,7,4,8,3,2,1] => [8,7,6,4,1,2,3,5] => 1111000
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [5,6,7,4,1,8,3,2] => [5,8,7,4,1,2,3,6] => 0111000
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [5,6,1,7,4,2,8,3] => [3,6,8,5,1,2,4,7] => 0011000
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [6,5,4,7,8,3,2,1] => [8,7,6,3,2,1,4,5] => 1111100
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [7,8,6,3,2,1,4,5] => [6,5,4,7,1,8,3,2] => [5,8,7,3,2,1,4,6] => 0111100
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [7,6,8,3,2,1,4,5] => [6,5,4,7,2,1,8,3] => [6,5,8,3,2,1,4,7] => 1011100
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [6,5,4,1,7,2,8,3] => [4,6,8,3,2,1,5,7] => 0011100
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [4,6,5,7,8,3,2,1] => [8,7,6,1,3,2,4,5] => 1110100
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [7,6,8,2,3,1,4,5] => [4,6,5,7,2,1,8,3] => [6,5,8,1,3,2,4,7] => 1010100
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [5,6,4,7,8,3,2,1] => [8,7,6,3,1,2,4,5] => 1111000
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [7,8,6,3,1,2,4,5] => [5,6,4,7,1,8,3,2] => [5,8,7,3,1,2,4,6] => 0111000
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [8,6,7,3,1,2,4,5] => [5,6,4,7,2,8,3,1] => [8,5,7,3,1,2,4,6] => 1011000
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [5,4,6,7,8,3,2,1] => [8,7,6,2,1,3,4,5] => 1111000
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [7,8,6,2,1,3,4,5] => [5,4,6,7,1,8,3,2] => [5,8,7,2,1,3,4,6] => 0111000
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [5,4,6,7,2,8,3,1] => [8,5,7,2,1,3,4,6] => 1011000
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => [4,6,8,2,1,3,5,7] => 0011000
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [4,5,6,7,8,3,2,1] => [8,7,6,1,2,3,4,5] => 1110000
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [4,5,6,7,1,8,3,2] => [5,8,7,1,2,3,4,6] => 0110000
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [4,5,6,7,2,8,3,1] => [8,5,7,1,2,3,4,6] => 1010000
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [4,5,6,7,2,1,8,3] => [6,5,8,1,2,3,4,7] => 1010000
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [4,5,6,1,7,2,8,3] => [4,6,8,1,2,3,5,7] => 0010000
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [7,6,5,4,3,8,2,1] => [8,7,5,4,3,2,1,6] => 1111110
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [7,6,5,4,3,1,8,2] => [6,8,5,4,3,2,1,7] => 0111110
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [4,7,6,5,3,8,2,1] => [8,7,5,1,4,3,2,6] => 1110110
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [8,7,3,4,5,2,1,6] => [3,4,7,6,5,8,2,1] => [8,7,1,2,5,4,3,6] => 1100110
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [5,3,7,6,4,8,2,1] => [8,7,2,5,1,4,3,6] => 1101010
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [7,8,4,5,2,3,1,6] => [5,3,7,6,4,1,8,2] => [6,8,2,5,1,4,3,7] => 0101010
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [8,7,4,3,2,5,1,6] => [5,4,3,7,6,8,2,1] => [8,7,3,2,1,5,4,6] => 1111010
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [8,7,3,4,2,5,1,6] => [3,5,4,7,6,8,2,1] => [8,7,1,3,2,5,4,6] => 1101010
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [3,5,4,7,6,1,8,2] => [6,8,1,3,2,5,4,7] => 0101010
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [6,7,5,4,3,8,2,1] => [8,7,5,4,3,1,2,6] => 1111100
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [7,8,5,4,3,1,2,6] => [6,7,5,4,3,1,8,2] => [6,8,5,4,3,1,2,7] => 0111100
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [6,5,7,4,3,1,8,2] => [6,8,5,4,2,1,3,7] => 0111100
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,1,2,3,6] => [5,6,7,4,3,8,2,1] => [8,7,5,4,1,2,3,6] => 1111000
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [8,7,4,5,1,2,3,6] => [5,6,3,7,4,8,2,1] => [8,7,3,5,1,2,4,6] => 1101000
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [5,6,3,7,4,1,8,2] => [6,8,3,5,1,2,4,7] => 0101000
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [6,5,4,7,3,8,2,1] => [8,7,5,3,2,1,4,6] => 1111100
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [5,6,4,7,3,8,2,1] => [8,7,5,3,1,2,4,6] => 1111000
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [5,4,6,7,3,8,2,1] => [8,7,5,2,1,3,4,6] => 1111000
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [5,4,6,7,3,1,8,2] => [6,8,5,2,1,3,4,7] => 0111000
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [4,5,6,7,3,8,2,1] => [8,7,5,1,2,3,4,6] => 1110000
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [4,5,6,7,3,1,8,2] => [6,8,5,1,2,3,4,7] => 0110000
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [6,5,4,3,7,8,2,1] => [8,7,4,3,2,1,5,6] => 1111100
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [6,5,4,3,7,1,8,2] => [6,8,4,3,2,1,5,7] => 0111100
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [8,7,3,4,2,1,5,6] => [3,6,5,4,7,8,2,1] => [8,7,1,4,3,2,5,6] => 1101100
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [7,8,4,2,3,1,5,6] => [4,6,5,3,7,1,8,2] => [6,8,4,1,3,2,5,7] => 0110100
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [8,7,3,2,4,1,5,6] => [4,3,6,5,7,8,2,1] => [8,7,2,1,4,3,5,6] => 1110100
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [4,3,6,5,7,1,8,2] => [6,8,2,1,4,3,5,7] => 0110100
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [8,7,2,3,4,1,5,6] => [3,4,6,5,7,8,2,1] => [8,7,1,2,4,3,5,6] => 1100100
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [3,4,6,5,7,1,8,2] => [6,8,1,2,4,3,5,7] => 0100100
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [8,7,3,4,1,2,5,6] => [5,3,6,4,7,8,2,1] => [8,7,2,4,1,3,5,6] => 1101000
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => [6,8,2,4,1,3,5,7] => 0101000
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [5,4,6,3,7,8,2,1] => [8,7,4,2,1,3,5,6] => 1111000
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => [6,8,4,2,1,3,5,7] => 0111000
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [4,5,6,3,7,8,2,1] => [8,7,4,1,2,3,5,6] => 1110000
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [7,8,4,1,2,3,5,6] => [4,5,6,3,7,1,8,2] => [6,8,4,1,2,3,5,7] => 0110000
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [5,4,3,6,7,8,2,1] => [8,7,3,2,1,4,5,6] => 1111000
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [5,4,3,6,7,1,8,2] => [6,8,3,2,1,4,5,7] => 0111000
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [8,7,2,3,1,4,5,6] => [3,5,4,6,7,8,2,1] => [8,7,1,3,2,4,5,6] => 1101000
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [7,8,3,1,2,4,5,6] => [4,5,3,6,7,1,8,2] => [6,8,3,1,2,4,5,7] => 0110000
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [4,3,5,6,7,8,2,1] => [8,7,2,1,3,4,5,6] => 1110000
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [4,3,5,6,7,1,8,2] => [6,8,2,1,3,4,5,7] => 0110000
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [3,4,5,6,7,8,2,1] => [8,7,1,2,3,4,5,6] => 1100000
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [3,4,5,6,7,1,8,2] => [6,8,1,2,3,4,5,7] => 0100000
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [7,6,5,4,3,2,8,1] => [8,6,5,4,3,2,1,7] => 1111110
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [2,7,6,5,4,3,8,1] => [8,1,6,5,4,3,2,7] => 1011110
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [8,6,4,5,3,2,1,7] => [3,7,6,5,4,2,8,1] => [8,6,1,5,4,3,2,7] => 1101110
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [2,3,7,6,5,4,8,1] => [8,1,2,6,5,4,3,7] => 1001110
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [4,7,6,5,3,2,8,1] => [8,6,5,1,4,3,2,7] => 1110110
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [8,6,4,3,5,2,1,7] => [4,3,7,6,5,2,8,1] => [8,6,2,1,5,4,3,7] => 1110110
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [8,4,5,3,6,2,1,7] => [2,4,3,7,6,5,8,1] => [8,1,3,2,6,5,4,7] => 1010110
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [3,2,4,7,6,5,8,1] => [8,2,1,3,6,5,4,7] => 1100110
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [8,3,4,5,6,2,1,7] => [2,3,4,7,6,5,8,1] => [8,1,2,3,6,5,4,7] => 1000110
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [5,7,6,4,3,2,8,1] => [8,6,5,4,1,3,2,7] => 1111010
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [8,5,6,4,2,3,1,7] => [5,2,7,6,4,3,8,1] => [8,2,6,5,1,4,3,7] => 1011010
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [8,4,5,6,2,3,1,7] => [2,5,3,7,6,4,8,1] => [8,1,3,6,2,5,4,7] => 1001010
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [5,4,7,6,3,2,8,1] => [8,6,5,2,1,4,3,7] => 1111010
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [8,6,5,2,3,4,1,7] => [4,5,7,6,3,2,8,1] => [8,6,5,1,2,4,3,7] => 1110010
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [8,6,4,3,2,5,1,7] => [5,4,3,7,6,2,8,1] => [8,6,3,2,1,5,4,7] => 1111010
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [8,6,4,2,3,5,1,7] => [4,5,3,7,6,2,8,1] => [8,6,3,1,2,5,4,7] => 1110010
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [4,3,5,7,6,2,8,1] => [8,6,2,1,3,5,4,7] => 1110010
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [5,4,3,2,7,6,8,1] => [8,4,3,2,1,6,5,7] => 1111010
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [3,2,5,4,7,6,8,1] => [8,2,1,4,3,6,5,7] => 1101010
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [8,5,4,2,3,6,1,7] => [4,5,3,2,7,6,8,1] => [8,4,3,1,2,6,5,7] => 1110010
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [4,2,5,3,7,6,8,1] => [8,2,4,1,3,6,5,7] => 1010010
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => [8,4,2,1,3,6,5,7] => 1110010
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [8,3,4,2,5,6,1,7] => [2,4,3,5,7,6,8,1] => [8,1,3,2,4,6,5,7] => 1010010
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [3,2,4,5,7,6,8,1] => [8,2,1,3,4,6,5,7] => 1100010
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [2,3,4,5,7,6,8,1] => [8,1,2,3,4,6,5,7] => 1000010
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [6,7,5,4,3,2,8,1] => [8,6,5,4,3,1,2,7] => 1111100
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,3,1,2,7] => [6,3,7,5,4,2,8,1] => [8,6,2,5,4,1,3,7] => 1101100
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [6,4,7,5,3,2,8,1] => [8,6,5,2,4,1,3,7] => 1110100
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [6,4,2,7,5,3,8,1] => [8,3,6,2,5,1,4,7] => 1010100
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [8,6,3,4,5,1,2,7] => [3,6,4,7,5,2,8,1] => [8,6,1,3,5,2,4,7] => 1100100
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [8,4,5,3,6,1,2,7] => [2,6,4,3,7,5,8,1] => [8,1,4,3,6,2,5,7] => 1010100
[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [8,5,3,4,6,1,2,7] => [3,6,4,2,7,5,8,1] => [8,4,1,3,6,2,5,7] => 1100100
[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => [8,2,1,4,6,3,5,7] => 1100100
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [2,3,6,4,7,5,8,1] => [8,1,2,4,6,3,5,7] => 1000100
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => [8,6,5,4,2,1,3,7] => 1111100
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,2,1,3,7] => [6,5,2,7,4,3,8,1] => [8,3,6,5,2,1,4,7] => 1011100
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,2,1,3,7] => [6,5,3,7,4,2,8,1] => [8,6,3,5,2,1,4,7] => 1101100
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [5,6,7,4,3,2,8,1] => [8,6,5,4,1,2,3,7] => 1111000
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [5,6,2,7,4,3,8,1] => [8,3,6,5,1,2,4,7] => 1011000
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => [8,2,4,6,1,3,5,7] => 1001000
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [6,5,4,7,3,2,8,1] => [8,6,5,3,2,1,4,7] => 1111100
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [4,6,5,7,3,2,8,1] => [8,6,5,1,3,2,4,7] => 1110100
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [4,6,5,2,7,3,8,1] => [8,4,6,1,3,2,5,7] => 1010100
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [8,5,6,3,1,2,4,7] => [5,6,4,2,7,3,8,1] => [8,4,6,3,1,2,5,7] => 1011000
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [5,4,6,7,3,2,8,1] => [8,6,5,2,1,3,4,7] => 1111000
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => [8,4,6,2,1,3,5,7] => 1011000
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [4,5,6,7,3,2,8,1] => [8,6,5,1,2,3,4,7] => 1110000
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => [8,6,4,3,2,1,5,7] => 1111100
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [3,6,5,4,7,2,8,1] => [8,6,1,4,3,2,5,7] => 1101100
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [8,6,4,2,3,1,5,7] => [4,6,5,3,7,2,8,1] => [8,6,4,1,3,2,5,7] => 1110100
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => [8,6,2,1,4,3,5,7] => 1110100
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [8,6,2,3,4,1,5,7] => [3,4,6,5,7,2,8,1] => [8,6,1,2,4,3,5,7] => 1100100
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [8,6,4,3,1,2,5,7] => [5,6,4,3,7,2,8,1] => [8,6,4,3,1,2,5,7] => 1111000
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => [8,6,2,4,1,3,5,7] => 1101000
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => [8,6,4,2,1,3,5,7] => 1111000
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [4,5,6,3,7,2,8,1] => [8,6,4,1,2,3,5,7] => 1110000
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [3,4,5,6,7,2,8,1] => [8,6,1,2,3,4,5,7] => 1100000
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [6,5,4,3,2,7,8,1] => [8,5,4,3,2,1,6,7] => 1111100
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [8,4,5,3,2,1,6,7] => [2,6,5,4,3,7,8,1] => [8,1,5,4,3,2,6,7] => 1011100
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [2,3,6,5,4,7,8,1] => [8,1,2,5,4,3,6,7] => 1001100
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [3,4,6,5,2,7,8,1] => [8,5,1,2,4,3,6,7] => 1100100
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [8,4,2,3,5,1,6,7] => [3,4,2,6,5,7,8,1] => [8,3,1,2,5,4,6,7] => 1100100
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [2,3,4,6,5,7,8,1] => [8,1,2,3,5,4,6,7] => 1000100
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [8,3,4,5,1,2,6,7] => [2,5,3,6,4,7,8,1] => [8,1,3,5,2,4,6,7] => 1001000
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [8,5,4,2,1,3,6,7] => [5,4,6,3,2,7,8,1] => [8,5,4,2,1,3,6,7] => 1111000
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [4,5,6,3,2,7,8,1] => [8,5,4,1,2,3,6,7] => 1110000
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [8,4,5,1,2,3,6,7] => [4,5,2,6,3,7,8,1] => [8,3,5,1,2,4,6,7] => 1010000
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [8,5,3,2,1,4,6,7] => [5,4,3,6,2,7,8,1] => [8,5,3,2,1,4,6,7] => 1111000
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [4,5,3,6,2,7,8,1] => [8,5,3,1,2,4,6,7] => 1110000
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [4,3,5,6,2,7,8,1] => [8,5,2,1,3,4,6,7] => 1110000
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [3,4,5,6,2,7,8,1] => [8,5,1,2,3,4,6,7] => 1100000
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [5,4,3,2,6,7,8,1] => [8,4,3,2,1,5,6,7] => 1111000
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [2,5,4,3,6,7,8,1] => [8,1,4,3,2,5,6,7] => 1011000
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [3,5,4,2,6,7,8,1] => [8,4,1,3,2,5,6,7] => 1101000
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [2,3,5,4,6,7,8,1] => [8,1,2,4,3,5,6,7] => 1001000
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [4,2,5,3,6,7,8,1] => [8,2,4,1,3,5,6,7] => 1010000
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [4,3,5,2,6,7,8,1] => [8,4,2,1,3,5,6,7] => 1110000
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [3,4,5,2,6,7,8,1] => [8,4,1,2,3,5,6,7] => 1100000
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [4,3,2,5,6,7,8,1] => [8,3,2,1,4,5,6,7] => 1110000
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [2,4,3,5,6,7,8,1] => [8,1,3,2,4,5,6,7] => 1010000
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [3,4,2,5,6,7,8,1] => [8,3,1,2,4,5,6,7] => 1100000
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [3,2,4,5,6,7,8,1] => [8,2,1,3,4,5,6,7] => 1100000
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [2,3,4,5,6,7,8,1] => [8,1,2,3,4,5,6,7] => 1000000
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => 1111110
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [1,7,6,5,4,3,2,8] => [1,7,6,5,4,3,2,8] => 0111110
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [2,7,6,5,4,3,1,8] => [7,1,6,5,4,3,2,8] => 1011110
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [2,1,7,6,5,4,3,8] => [2,1,7,6,5,4,3,8] => 1011110
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [1,2,7,6,5,4,3,8] => [1,2,7,6,5,4,3,8] => 0011110
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [7,4,5,6,3,2,1,8] => [2,3,7,6,5,4,1,8] => [7,1,2,6,5,4,3,8] => 1001110
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [3,2,1,7,6,5,4,8] => [3,2,1,7,6,5,4,8] => 1101110
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [1,3,2,7,6,5,4,8] => [1,3,2,7,6,5,4,8] => 0101110
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [1,2,3,7,6,5,4,8] => [1,2,3,7,6,5,4,8] => 0001110
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [4,7,6,5,3,2,1,8] => [7,6,5,1,4,3,2,8] => 1110110
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [6,7,5,3,4,2,1,8] => [4,1,7,6,5,3,2,8] => [2,7,6,1,5,4,3,8] => 0110110
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [4,2,7,6,5,3,1,8] => [7,2,6,1,5,4,3,8] => 1010110
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [4,3,7,6,5,2,1,8] => [7,6,2,1,5,4,3,8] => 1110110
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [3,4,7,6,5,2,1,8] => [7,6,1,2,5,4,3,8] => 1100110
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [7,3,4,5,6,2,1,8] => [2,3,4,7,6,5,1,8] => [7,1,2,3,6,5,4,8] => 1000110
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [4,3,2,1,7,6,5,8] => [4,3,2,1,7,6,5,8] => 1110110
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [1,4,3,2,7,6,5,8] => [1,4,3,2,7,6,5,8] => 0110110
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [3,2,1,4,7,6,5,8] => [3,2,1,4,7,6,5,8] => 1100110
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [1,2,3,4,7,6,5,8] => [1,2,3,4,7,6,5,8] => 0000110
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [5,7,6,4,3,2,1,8] => [7,6,5,4,1,3,2,8] => 1111010
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [5,1,7,6,4,3,2,8] => [2,7,6,5,1,4,3,8] => 0111010
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [5,3,1,7,6,4,2,8] => [3,7,2,6,1,5,4,8] => 0101010
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [7,4,5,6,2,3,1,8] => [2,5,3,7,6,4,1,8] => [7,1,3,6,2,5,4,8] => 1001010
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [1,5,3,2,7,6,4,8] => [1,4,3,7,2,6,5,8] => 0101010
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [7,6,5,3,2,4,1,8] => [5,4,7,6,3,2,1,8] => [7,6,5,2,1,4,3,8] => 1111010
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [5,4,2,1,7,6,3,8] => [4,3,7,2,1,6,5,8] => 1011010
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [4,5,7,6,3,2,1,8] => [7,6,5,1,2,4,3,8] => 1110010
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [4,5,2,7,6,3,1,8] => [7,3,6,1,2,5,4,8] => 1010010
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [4,1,5,2,7,6,3,8] => [2,4,7,1,3,6,5,8] => 0010010
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [7,6,4,3,2,5,1,8] => [5,4,3,7,6,2,1,8] => [7,6,3,2,1,5,4,8] => 1111010
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [6,7,4,3,2,5,1,8] => [5,4,3,1,7,6,2,8] => [4,7,3,2,1,6,5,8] => 0111010
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [6,7,3,4,2,5,1,8] => [3,5,4,1,7,6,2,8] => [4,7,1,3,2,6,5,8] => 0101010
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [4,5,3,7,6,2,1,8] => [7,6,3,1,2,5,4,8] => 1110010
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [6,7,3,2,4,5,1,8] => [4,3,5,1,7,6,2,8] => [4,7,2,1,3,6,5,8] => 0110010
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [7,6,2,3,4,5,1,8] => [3,4,5,7,6,2,1,8] => [7,6,1,2,3,5,4,8] => 1100010
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [5,4,3,2,7,6,1,8] => [7,4,3,2,1,6,5,8] => 1111010
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [7,5,3,4,2,6,1,8] => [3,5,4,2,7,6,1,8] => [7,4,1,3,2,6,5,8] => 1101010
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [7,5,4,2,3,6,1,8] => [4,5,3,2,7,6,1,8] => [7,4,3,1,2,6,5,8] => 1110010
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [7,4,2,3,5,6,1,8] => [3,4,2,5,7,6,1,8] => [7,3,1,2,4,6,5,8] => 1100010
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [2,3,4,5,7,6,1,8] => [7,1,2,3,4,6,5,8] => 1000010
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [5,4,3,2,1,7,6,8] => [5,4,3,2,1,7,6,8] => 1111010
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [1,5,4,3,2,7,6,8] => [1,5,4,3,2,7,6,8] => 0111010
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [2,1,5,4,3,7,6,8] => [2,1,5,4,3,7,6,8] => 1011010
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [3,1,5,4,2,7,6,8] => [2,5,1,4,3,7,6,8] => 0101010
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [2,3,5,4,1,7,6,8] => [5,1,2,4,3,7,6,8] => 1001010
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [3,2,1,5,4,7,6,8] => [3,2,1,5,4,7,6,8] => 1101010
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => 0101010
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [2,3,1,5,4,7,6,8] => [3,1,2,5,4,7,6,8] => 1001010
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => 0001010
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [5,4,6,2,3,7,1,8] => [4,2,1,5,3,7,6,8] => [3,2,5,1,4,7,6,8] => 1010010
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [3,4,2,5,1,7,6,8] => [5,3,1,2,4,7,6,8] => 1100010
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [4,3,2,1,5,7,6,8] => [4,3,2,1,5,7,6,8] => 1110010
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => 0010010
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [5,4,2,3,6,7,1,8] => [3,4,2,1,5,7,6,8] => [4,3,1,2,5,7,6,8] => 1100010
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [5,2,3,4,6,7,1,8] => [2,3,4,1,5,7,6,8] => [4,1,2,3,5,7,6,8] => 1000010
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => 0100010
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [4,2,3,5,6,7,1,8] => [2,3,1,4,5,7,6,8] => [3,1,2,4,5,7,6,8] => 1000010
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [2,1,3,4,5,7,6,8] => [2,1,3,4,5,7,6,8] => 1000010
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => 0000010
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [6,7,5,4,3,2,1,8] => [7,6,5,4,3,1,2,8] => 1111100
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [6,1,7,5,4,3,2,8] => [2,7,6,5,4,1,3,8] => 0111100
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [5,4,6,7,3,1,2,8] => [2,1,6,3,7,5,4,8] => [2,1,4,7,6,3,5,8] => 1001100
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [7,5,6,3,4,1,2,8] => [6,4,2,7,5,3,1,8] => [7,3,6,2,5,1,4,8] => 1010100
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [6,5,7,3,4,1,2,8] => [6,4,2,1,7,5,3,8] => [4,3,7,2,6,1,5,8] => 1010100
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [7,5,3,4,6,1,2,8] => [3,6,4,2,7,5,1,8] => [7,4,1,3,6,2,5,8] => 1100100
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [6,5,4,3,7,1,2,8] => [6,4,3,2,1,7,5,8] => [5,4,3,2,7,1,6,8] => 1110100
[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [6,4,5,3,7,1,2,8] => [2,6,4,3,1,7,5,8] => [5,1,4,3,7,2,6,8] => 1010100
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [3,1,6,4,2,7,5,8] => [2,5,1,4,7,3,6,8] => 0100100
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [1,2,3,6,4,7,5,8] => [1,2,3,5,7,4,6,8] => 0000100
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [6,5,7,4,3,2,1,8] => [7,6,5,4,2,1,3,8] => 1111100
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [6,5,3,2,7,4,1,8] => [7,4,3,6,2,1,5,8] => 1101100
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [7,4,5,6,2,1,3,8] => [2,6,5,3,7,4,1,8] => [7,1,4,6,3,2,5,8] => 1001100
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [4,5,6,7,2,1,3,8] => [1,2,6,5,3,7,4,8] => [1,2,5,7,4,3,6,8] => 0001100
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [5,6,7,4,3,2,1,8] => [7,6,5,4,1,2,3,8] => 1111000
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,1,2,3,8] => [5,6,3,7,4,2,1,8] => [7,6,3,5,1,2,4,8] => 1101000
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,1,2,3,8] => [5,6,3,2,7,4,1,8] => [7,4,3,6,1,2,5,8] => 1101000
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [5,2,6,3,7,4,1,8] => [7,2,4,6,1,3,5,8] => 1001000
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [5,2,1,6,3,7,4,8] => [3,2,5,7,1,4,6,8] => 1001000
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => [1,3,5,7,2,4,6,8] => 0001000
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => [7,6,5,3,2,1,4,8] => 1111100
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [7,6,5,2,3,1,4,8] => [4,6,5,7,3,2,1,8] => [7,6,5,1,3,2,4,8] => 1110100
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [7,5,6,2,3,1,4,8] => [4,6,5,2,7,3,1,8] => [7,4,6,1,3,2,5,8] => 1010100
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [6,5,7,2,3,1,4,8] => [4,6,5,2,1,7,3,8] => [5,4,7,1,3,2,6,8] => 1010100
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [4,1,6,5,2,7,3,8] => [2,5,7,1,4,3,6,8] => 0010100
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [7,5,6,3,1,2,4,8] => [5,6,4,2,7,3,1,8] => [7,4,6,3,1,2,5,8] => 1011000
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [5,1,6,4,2,7,3,8] => [2,5,7,4,1,3,6,8] => 0011000
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [7,6,5,2,1,3,4,8] => [5,4,6,7,3,2,1,8] => [7,6,5,2,1,3,4,8] => 1111000
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [5,4,1,6,2,7,3,8] => [3,5,7,2,1,4,6,8] => 0011000
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [4,5,6,7,3,2,1,8] => [7,6,5,1,2,3,4,8] => 1110000
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [4,5,6,1,7,3,2,8] => [4,7,6,1,2,3,5,8] => 0110000
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [4,5,6,2,7,3,1,8] => [7,4,6,1,2,3,5,8] => 1010000
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [4,5,6,2,1,7,3,8] => [5,4,7,1,2,3,6,8] => 1010000
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [4,5,1,6,2,7,3,8] => [3,5,7,1,2,4,6,8] => 0010000
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [7,6,4,3,2,1,5,8] => [6,5,4,3,7,2,1,8] => [7,6,4,3,2,1,5,8] => 1111100
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [7,6,3,4,2,1,5,8] => [3,6,5,4,7,2,1,8] => [7,6,1,4,3,2,5,8] => 1101100
[[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [6,7,3,4,2,1,5,8] => [3,6,5,4,1,7,2,8] => [5,7,1,4,3,2,6,8] => 0101100
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [6,7,4,2,3,1,5,8] => [4,6,5,3,1,7,2,8] => [5,7,4,1,3,2,6,8] => 0110100
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [5,6,4,3,7,2,1,8] => [7,6,4,3,1,2,5,8] => 1111000
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [6,7,3,4,1,2,5,8] => [5,3,6,4,1,7,2,8] => [5,7,2,4,1,3,6,8] => 0101000
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [5,4,6,3,7,2,1,8] => [7,6,4,2,1,3,5,8] => 1111000
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [5,4,3,6,7,2,1,8] => [7,6,3,2,1,4,5,8] => 1111000
[[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [6,7,3,2,1,4,5,8] => [5,4,3,6,1,7,2,8] => [5,7,3,2,1,4,6,8] => 0111000
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [6,7,2,3,1,4,5,8] => [3,5,4,6,1,7,2,8] => [5,7,1,3,2,4,6,8] => 0101000
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [6,7,3,1,2,4,5,8] => [4,5,3,6,1,7,2,8] => [5,7,3,1,2,4,6,8] => 0110000
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [3,4,5,6,7,2,1,8] => [7,6,1,2,3,4,5,8] => 1100000
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [3,4,5,6,1,7,2,8] => [5,7,1,2,3,4,6,8] => 0100000
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [6,5,4,3,2,7,1,8] => [7,5,4,3,2,1,6,8] => 1111100
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [7,4,3,5,2,1,6,8] => [3,2,6,5,4,7,1,8] => [7,2,1,5,4,3,6,8] => 1101100
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [7,5,4,2,3,1,6,8] => [4,6,5,3,2,7,1,8] => [7,5,4,1,3,2,6,8] => 1110100
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [7,5,2,3,4,1,6,8] => [3,4,6,5,2,7,1,8] => [7,5,1,2,4,3,6,8] => 1100100
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [7,4,2,3,5,1,6,8] => [3,4,2,6,5,7,1,8] => [7,3,1,2,5,4,6,8] => 1100100
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [2,3,4,6,5,7,1,8] => [7,1,2,3,5,4,6,8] => 1000100
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [7,4,5,2,1,3,6,8] => [5,4,2,6,3,7,1,8] => [7,3,5,2,1,4,6,8] => 1011000
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [7,4,5,1,2,3,6,8] => [4,5,2,6,3,7,1,8] => [7,3,5,1,2,4,6,8] => 1010000
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [7,5,3,2,1,4,6,8] => [5,4,3,6,2,7,1,8] => [7,5,3,2,1,4,6,8] => 1111000
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [7,5,2,3,1,4,6,8] => [3,5,4,6,2,7,1,8] => [7,5,1,3,2,4,6,8] => 1101000
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [4,5,3,6,2,7,1,8] => [7,5,3,1,2,4,6,8] => 1110000
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [3,4,5,6,2,7,1,8] => [7,5,1,2,3,4,6,8] => 1100000
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [5,4,3,2,6,7,1,8] => [7,4,3,2,1,5,6,8] => 1111000
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [7,2,3,4,1,5,6,8] => [2,3,5,4,6,7,1,8] => [7,1,2,4,3,5,6,8] => 1001000
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [7,4,3,1,2,5,6,8] => [4,5,3,2,6,7,1,8] => [7,4,3,1,2,5,6,8] => 1110000
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [3,4,5,2,6,7,1,8] => [7,4,1,2,3,5,6,8] => 1100000
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [4,3,2,5,6,7,1,8] => [7,3,2,1,4,5,6,8] => 1110000
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [7,2,3,1,4,5,6,8] => [2,4,3,5,6,7,1,8] => [7,1,3,2,4,5,6,8] => 1010000
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [3,4,2,5,6,7,1,8] => [7,3,1,2,4,5,6,8] => 1100000
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [3,2,4,5,6,7,1,8] => [7,2,1,3,4,5,6,8] => 1100000
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [2,3,4,5,6,7,1,8] => [7,1,2,3,4,5,6,8] => 1000000
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7,8] => 1111100
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [1,6,5,4,3,2,7,8] => [1,6,5,4,3,2,7,8] => 0111100
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [1,2,6,5,4,3,7,8] => [1,2,6,5,4,3,7,8] => 0011100
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [3,6,5,4,2,1,7,8] => [6,5,1,4,3,2,7,8] => 1101100
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [5,6,3,4,2,1,7,8] => [3,1,6,5,4,2,7,8] => [2,6,1,5,4,3,7,8] => 0101100
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [3,2,1,6,5,4,7,8] => [3,2,1,6,5,4,7,8] => 1101100
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [1,2,3,6,5,4,7,8] => [1,2,3,6,5,4,7,8] => 0001100
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [5,4,6,2,3,1,7,8] => [4,2,1,6,5,3,7,8] => [3,2,6,1,5,4,7,8] => 1010100
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [5,6,3,2,4,1,7,8] => [4,3,1,6,5,2,7,8] => [3,6,2,1,5,4,7,8] => 0110100
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [6,4,3,2,5,1,7,8] => [4,3,2,6,5,1,7,8] => [6,3,2,1,5,4,7,8] => 1110100
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [6,2,3,4,5,1,7,8] => [2,3,4,6,5,1,7,8] => [6,1,2,3,5,4,7,8] => 1000100
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [4,3,2,1,6,5,7,8] => [4,3,2,1,6,5,7,8] => 1110100
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [2,1,4,3,6,5,7,8] => [2,1,4,3,6,5,7,8] => 1010100
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => 0010100
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [5,3,2,4,6,1,7,8] => [3,2,4,1,6,5,7,8] => [4,2,1,3,6,5,7,8] => 1100100
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [2,3,4,1,6,5,7,8] => [4,1,2,3,6,5,7,8] => 1000100
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [1,3,2,4,6,5,7,8] => [1,3,2,4,6,5,7,8] => 0100100
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [2,1,3,4,6,5,7,8] => [2,1,3,4,6,5,7,8] => 1000100
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => 0000100
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [5,6,4,3,2,1,7,8] => [6,5,4,3,1,2,7,8] => 1111000
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [5,1,6,4,3,2,7,8] => [2,6,5,4,1,3,7,8] => 0111000
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [5,3,1,6,4,2,7,8] => [3,6,2,5,1,4,7,8] => 0101000
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [6,4,3,5,1,2,7,8] => [5,3,2,6,4,1,7,8] => [6,3,2,5,1,4,7,8] => 1101000
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [5,3,2,1,6,4,7,8] => [4,3,2,6,1,5,7,8] => 1101000
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [4,3,5,6,1,2,7,8] => [2,1,5,3,6,4,7,8] => [2,1,4,6,3,5,7,8] => 1001000
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [1,2,5,3,6,4,7,8] => [1,2,4,6,3,5,7,8] => 0001000
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [6,5,4,2,1,3,7,8] => [5,4,6,3,2,1,7,8] => [6,5,4,2,1,3,7,8] => 1111000
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [5,4,1,6,3,2,7,8] => [3,6,5,2,1,4,7,8] => 0111000
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [6,4,5,2,1,3,7,8] => [5,4,2,6,3,1,7,8] => [6,3,5,2,1,4,7,8] => 1011000
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [4,5,6,3,2,1,7,8] => [6,5,4,1,2,3,7,8] => 1110000
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [4,1,5,2,6,3,7,8] => [2,4,6,1,3,5,7,8] => 0010000
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [6,5,3,2,1,4,7,8] => [5,4,3,6,2,1,7,8] => [6,5,3,2,1,4,7,8] => 1111000
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [5,6,2,1,3,4,7,8] => [4,3,5,1,6,2,7,8] => [4,6,2,1,3,5,7,8] => 0110000
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [5,6,1,2,3,4,7,8] => [3,4,5,1,6,2,7,8] => [4,6,1,2,3,5,7,8] => 0100000
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [5,4,3,2,6,1,7,8] => [6,4,3,2,1,5,7,8] => 1111000
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [4,5,3,2,6,1,7,8] => [6,4,3,1,2,5,7,8] => 1110000
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [4,3,5,2,6,1,7,8] => [6,4,2,1,3,5,7,8] => 1110000
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [3,4,5,2,6,1,7,8] => [6,4,1,2,3,5,7,8] => 1100000
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [4,3,2,5,6,1,7,8] => [6,3,2,1,4,5,7,8] => 1110000
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [3,4,2,5,6,1,7,8] => [6,3,1,2,4,5,7,8] => 1100000
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [6,2,1,3,4,5,7,8] => [3,2,4,5,6,1,7,8] => [6,2,1,3,4,5,7,8] => 1100000
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [2,3,4,5,6,1,7,8] => [6,1,2,3,4,5,7,8] => 1000000
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7,8] => 1111000
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [1,5,4,3,2,6,7,8] => [1,5,4,3,2,6,7,8] => 0111000
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [2,5,4,3,1,6,7,8] => [5,1,4,3,2,6,7,8] => 1011000
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [2,1,5,4,3,6,7,8] => [2,1,5,4,3,6,7,8] => 1011000
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [1,2,5,4,3,6,7,8] => [1,2,5,4,3,6,7,8] => 0011000
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [3,5,4,2,1,6,7,8] => [5,4,1,3,2,6,7,8] => 1101000
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [3,2,5,4,1,6,7,8] => [5,2,1,4,3,6,7,8] => 1101000
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [2,3,5,4,1,6,7,8] => [5,1,2,4,3,6,7,8] => 1001000
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [3,2,1,5,4,6,7,8] => [3,2,1,5,4,6,7,8] => 1101000
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => 0101000
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => 0001000
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [4,5,3,2,1,6,7,8] => [5,4,3,1,2,6,7,8] => 1110000
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [5,3,4,1,2,6,7,8] => [4,2,5,3,1,6,7,8] => [5,2,4,1,3,6,7,8] => 1010000
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [4,3,5,1,2,6,7,8] => [4,2,1,5,3,6,7,8] => [3,2,5,1,4,6,7,8] => 1010000
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [1,4,2,5,3,6,7,8] => [1,3,5,2,4,6,7,8] => 0010000
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [4,3,5,2,1,6,7,8] => [5,4,2,1,3,6,7,8] => 1110000
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [4,5,2,1,3,6,7,8] => [4,3,1,5,2,6,7,8] => [3,5,2,1,4,6,7,8] => 0110000
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [3,4,5,2,1,6,7,8] => [5,4,1,2,3,6,7,8] => 1100000
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [3,4,1,5,2,6,7,8] => [3,5,1,2,4,6,7,8] => 0100000
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [4,3,2,5,1,6,7,8] => [5,3,2,1,4,6,7,8] => 1110000
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [2,4,3,5,1,6,7,8] => [5,1,3,2,4,6,7,8] => 1010000
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [3,4,2,5,1,6,7,8] => [5,3,1,2,4,6,7,8] => 1100000
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [3,2,4,5,1,6,7,8] => [5,2,1,3,4,6,7,8] => 1100000
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [2,3,4,5,1,6,7,8] => [5,1,2,3,4,6,7,8] => 1000000
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => 1110000
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [1,4,3,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => 0110000
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [2,4,3,1,5,6,7,8] => [4,1,3,2,5,6,7,8] => 1010000
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [2,1,4,3,5,6,7,8] => [2,1,4,3,5,6,7,8] => 1010000
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => 0010000
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [3,4,2,1,5,6,7,8] => [4,3,1,2,5,6,7,8] => 1100000
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [3,1,4,2,5,6,7,8] => [2,4,1,3,5,6,7,8] => 0100000
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [3,2,4,1,5,6,7,8] => [4,2,1,3,5,6,7,8] => 1100000
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [2,3,4,1,5,6,7,8] => [4,1,2,3,5,6,7,8] => 1000000
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => 1100000
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => 0100000
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => 1000000
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => 1000000
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0000000
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => 11111111
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [1,9,8,7,6,5,4,3,2] => [1,9,8,7,6,5,4,3,2] => 01111111
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [1,2,9,8,7,6,5,4,3] => [1,2,9,8,7,6,5,4,3] => 00111111
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [1,2,3,9,8,7,6,5,4] => [1,2,3,9,8,7,6,5,4] => 00011111
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [1,2,3,4,9,8,7,6,5] => [1,2,3,4,9,8,7,6,5] => 00001111
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [1,2,3,4,5,9,8,7,6] => [1,2,3,4,5,9,8,7,6] => 00000111
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,9,8,7] => 00000011
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => 00000001
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 00000000
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,2,1] => 111111111
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [1,10,9,8,7,6,5,4,3,2] => [1,10,9,8,7,6,5,4,3,2] => 011111111
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [9,7,8,6,5,4,3,2,1] => [2,9,8,7,6,5,4,3,1] => [9,1,8,7,6,5,4,3,2] => 10111111
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [1,2,10,9,8,7,6,5,4,3] => [1,2,10,9,8,7,6,5,4,3] => 001111111
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [8,9,6,7,5,4,3,2,1] => [3,1,9,8,7,6,5,4,2] => [2,9,1,8,7,6,5,4,3] => 01011111
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [1,2,3,10,9,8,7,6,5,4] => [1,2,3,10,9,8,7,6,5,4] => 000111111
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [1,2,3,4,10,9,8,7,6,5] => [1,2,3,4,10,9,8,7,6,5] => 000011111
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [1,2,3,4,5,10,9,8,7,6] => [1,2,3,4,5,10,9,8,7,6] => 000001111
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [1,2,3,4,5,6,10,9,8,7] => [1,2,3,4,5,6,10,9,8,7] => 000000111
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,10,9,8] => 000000011
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,1,2] => [1,2,3,4,5,8,6,9,7] => [1,2,3,4,5,7,9,6,8] => 00000010
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => 000000001
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 000000000
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [2,1,9,8,7,6,5,4,3] => [2,1,9,8,7,6,5,4,3] => 10111111
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [3,2,1,9,8,7,6,5,4] => [3,2,1,9,8,7,6,5,4] => 11011111
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [4,3,2,1,9,8,7,6,5] => [4,3,2,1,9,8,7,6,5] => 11101111
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [5,4,3,2,1,9,8,7,6] => [5,4,3,2,1,9,8,7,6] => 11110111
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [6,5,4,3,2,1,9,8,7] => [6,5,4,3,2,1,9,8,7] => 11111011
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [7,6,5,4,3,2,1,9,8] => [7,6,5,4,3,2,1,9,8] => 11111101
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1,9] => 11111110
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [2,1,10,9,8,7,6,5,4,3] => [2,1,10,9,8,7,6,5,4,3] => 101111111
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [3,2,1,10,9,8,7,6,5,4] => [3,2,1,10,9,8,7,6,5,4] => 110111111
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [4,3,2,1,10,9,8,7,6,5] => [4,3,2,1,10,9,8,7,6,5] => 111011111
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [5,4,3,2,1,10,9,8,7,6] => [5,4,3,2,1,10,9,8,7,6] => 111101111
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [6,5,4,3,2,1,10,9,8,7] => [6,5,4,3,2,1,10,9,8,7] => 111110111
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [8,7,6,5,4,2,3,9,1] => [6,7,5,4,3,2,1,9,8] => [7,6,5,4,3,1,2,9,8] => 11111001
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [7,6,5,4,3,2,1,10,9,8] => [7,6,5,4,3,2,1,10,9,8] => 111111011
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [7,8,6,5,4,3,2,1,9] => [8,7,6,5,4,3,1,2,9] => 11111100
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [8,7,6,5,4,3,2,1,10,9] => [8,7,6,5,4,3,2,1,10,9] => 111111101
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,2,1,10] => 111111110
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => [9,7,5,3,1,10,8,6,4,2] => [5,10,4,9,3,8,2,7,1,6] => 010101010
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [1,3,2,5,4,7,6,9,8,10] => [1,3,2,5,4,7,6,9,8,10] => 010101010
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [11,12,9,10,7,8,5,6,3,4,1,2] => [11,9,7,5,3,1,12,10,8,6,4,2] => [6,12,5,11,4,10,3,9,2,8,1,7] => 01010101010
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [10,8,6,4,2,1,3,5,7,9] => [6,5,7,4,8,3,9,2,10,1] => [10,8,6,4,2,1,3,5,7,9] => 111110000
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [12,10,8,6,4,2,1,3,5,7,9,11] => [7,6,8,5,9,4,10,3,11,2,12,1] => [12,10,8,6,4,2,1,3,5,7,9,11] => 11111100000
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,9,1] => [9,1,2,3,4,5,6,7,8] => 10000000
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,10,1] => [10,1,2,3,4,5,6,7,8,9] => 100000000
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [3,2,4,5,6,7,8,9,1] => [9,2,1,3,4,5,6,7,8] => 11000000
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [2,1,3,4,5,6,7,9,8] => [2,1,3,4,5,6,7,9,8] => 10000001
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [2,3,4,5,6,7,8,9,10,11,1] => [11,1,2,3,4,5,6,7,8,9,10] => 1000000000
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [3,2,4,5,6,7,8,9,10,1] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [3,4,2,5,6,7,8,9,1] => [9,3,1,2,4,5,6,7,8] => 11000000
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [9,2,3,1,4,5,6,7,8] => [2,4,3,5,6,7,8,9,1] => [9,1,3,2,4,5,6,7,8] => 10100000
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [4,2,3,5,6,7,8,9,1] => [2,3,1,4,5,6,7,9,8] => [3,1,2,4,5,6,7,9,8] => 10000001
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [1,3,2,4,5,6,7,9,8] => [1,3,2,4,5,6,7,9,8] => 01000001
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [2,1,3,4,5,6,7,8,10,9] => [2,1,3,4,5,6,7,8,10,9] => 100000001
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => 0000000001
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [3,4,5,6,7,8,1,9,2] => [7,9,1,2,3,4,5,6,8] => 01000000
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [7,8,9,1,2,3,4,5,6] => [4,5,6,7,1,8,2,9,3] => [5,7,9,1,2,3,4,6,8] => 00100000
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [6,7,8,9,1,2,3,4,5] => [5,6,1,7,2,8,3,9,4] => [3,5,7,9,1,2,4,6,8] => 00010000
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [3,4,5,6,7,8,9,2,1] => [9,8,1,2,3,4,5,6,7] => 11000000
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [3,4,5,6,7,8,9,1,10,2] => [8,10,1,2,3,4,5,6,7,9] => 010000000
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [7,8,9,10,1,2,3,4,5,6] => [5,6,7,1,8,2,9,3,10,4] => [4,6,8,10,1,2,3,5,7,9] => 000100000
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [6,5,7,8,9,1,2,3,4] => [6,2,1,7,3,8,4,9,5] => [3,2,5,7,9,1,4,6,8] => 10001000
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,1,2,3,4,5] => [6,1,7,2,8,3,9,4,10,5] => [2,4,6,8,10,1,3,5,7,9] => 000010000
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,10,1,2] => [1,2,3,4,5,6,9,7,10,8] => [1,2,3,4,5,6,8,10,7,9] => 000000010
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [8,9,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,1,2] => 11111110
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [1,8,7,6,5,4,3,2,9] => [1,8,7,6,5,4,3,2,9] => 01111110
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [8,9,7,6,5,4,3,1,2] => [8,1,9,7,6,5,4,3,2] => [2,9,8,7,6,5,4,1,3] => 01111110
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [9,10,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,1,2] => 111111110
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [10,9,8,7,6,5,4,3,2,1,11] => [10,9,8,7,6,5,4,3,2,1,11] => 1111111110
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [1,9,8,7,6,5,4,3,2,10] => [1,9,8,7,6,5,4,3,2,10] => 011111110
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [2,1,8,7,6,5,4,3,9] => [2,1,8,7,6,5,4,3,9] => 10111110
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [9,7,8,6,5,4,3,1,2] => [8,2,9,7,6,5,4,3,1] => [9,2,8,7,6,5,4,1,3] => 10111110
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [9,10,8,7,6,5,4,3,1,2] => [9,1,10,8,7,6,5,4,3,2] => [2,10,9,8,7,6,5,4,1,3] => 011111110
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [11,10,9,8,7,6,5,4,3,1,2] => [10,11,9,8,7,6,5,4,3,2,1] => [11,10,9,8,7,6,5,4,3,1,2] => 1111111110
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9] => 101010101
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,1,4,3,6,5,8,7,10,9,12,11] => 10101010101
[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.] => [6,4,5,7,3,8,2,9,1,10] => [2,3,1,5,4,7,6,9,8,10] => [3,1,2,5,4,7,6,9,8,10] => 100101010
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,2,1,3] => [8,7,9,6,5,4,3,2,1] => [9,8,7,6,5,4,2,1,3] => 11111110
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,3,2,1,4] => [8,7,6,9,5,4,3,2,1] => [9,8,7,6,5,3,2,1,4] => 11111110
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [9,8,7,6,4,3,2,1,5] => [8,7,6,5,9,4,3,2,1] => [9,8,7,6,4,3,2,1,5] => 11111110
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [9,8,7,5,4,3,2,1,6] => [8,7,6,5,4,9,3,2,1] => [9,8,7,5,4,3,2,1,6] => 11111110
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [9,8,6,5,4,3,2,1,7] => [8,7,6,5,4,3,9,2,1] => [9,8,6,5,4,3,2,1,7] => 11111110
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [8,7,6,5,4,3,2,9,1] => [9,7,6,5,4,3,2,1,8] => 11111110
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => [7,8,9,6,5,4,3,2,1] => [9,8,7,6,5,4,1,2,3] => 11111100
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,2,1,3] => [9,8,10,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,2,1,3] => 111111110
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,3,2,1,4] => [9,8,7,10,6,5,4,3,2,1] => [10,9,8,7,6,5,3,2,1,4] => 111111110
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,4,3,2,1,5] => [9,8,7,6,10,5,4,3,2,1] => [10,9,8,7,6,4,3,2,1,5] => 111111110
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [10,9,8,7,5,4,3,2,1,6] => [9,8,7,6,5,10,4,3,2,1] => [10,9,8,7,5,4,3,2,1,6] => 111111110
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [10,9,8,6,5,4,3,2,1,7] => [9,8,7,6,5,4,10,3,2,1] => [10,9,8,6,5,4,3,2,1,7] => 111111110
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [10,9,7,6,5,4,3,2,1,8] => [9,8,7,6,5,4,3,10,2,1] => [10,9,7,6,5,4,3,2,1,8] => 111111110
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [9,8,7,6,5,4,3,2,10,1] => [10,8,7,6,5,4,3,2,1,9] => 111111110
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8,9] => 11111100
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,7,8,9] => 11111000
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => 11110000
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => 11100000
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => 11000000
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => 10000000
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [8,7,6,5,4,3,2,1,9,10] => [8,7,6,5,4,3,2,1,9,10] => 111111100
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [7,6,5,4,3,2,1,8,9,10] => [7,6,5,4,3,2,1,8,9,10] => 111111000
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => 111110000
[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.] => [6,5,4,3,1,2,7,8,9] => [5,6,4,3,2,1,7,8,9] => [6,5,4,3,1,2,7,8,9] => 11110000
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9,10] => 111100000
[[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.] => [5,4,3,1,2,6,7,8,9] => [4,5,3,2,1,6,7,8,9] => [5,4,3,1,2,6,7,8,9] => 11100000
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => 111000000
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [4,3,1,2,5,6,7,8,9] => [3,4,2,1,5,6,7,8,9] => [4,3,1,2,5,6,7,8,9] => 11000000
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => 110000000
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => 10000000
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => 100000000
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [9,8,7,5,6,4,3,2,1] => [4,9,8,7,6,5,3,2,1] => [9,8,7,1,6,5,4,3,2] => 11101111
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,4,5,3,2,1] => [5,9,8,7,6,4,3,2,1] => [9,8,7,6,1,5,4,3,2] => 11110111
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,3,4,2,1] => [6,9,8,7,5,4,3,2,1] => [9,8,7,6,5,1,4,3,2] => 11111011
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,2,3,1] => [7,9,8,6,5,4,3,2,1] => [9,8,7,6,5,4,1,3,2] => 11111101
[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] => [10,8,9,7,6,5,4,3,2,1] => [2,10,9,8,7,6,5,4,3,1] => [10,1,9,8,7,6,5,4,3,2] => 101111111
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [10,9,8,6,7,5,4,3,2,1] => [4,10,9,8,7,6,5,3,2,1] => [10,9,8,1,7,6,5,4,3,2] => 111011111
[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,5,6,4,3,2,1] => [5,10,9,8,7,6,4,3,2,1] => [10,9,8,7,1,6,5,4,3,2] => 111101111
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,2,3,1] => [8,10,9,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,1,3,2] => 111111101
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [9,2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,9,8,1] => [9,1,2,3,4,5,6,8,7] => 10000001
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => 1000000000
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [8,2,1,3,4,5,6,7,9] => [3,2,4,5,6,7,8,1,9] => [8,2,1,3,4,5,6,7,9] => 11000000
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [8,2,3,4,5,6,7,9,1] => [2,3,4,5,6,7,1,9,8] => [7,1,2,3,4,5,6,9,8] => 10000001
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [10,2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,10,9,1] => [10,1,2,3,4,5,6,7,9,8] => 100000001
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [8,6,5,4,3,2,1,7,9] => [7,6,5,4,3,2,8,1,9] => [8,6,5,4,3,2,1,7,9] => 11111100
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [1,2,3,4,5,7,6,9,8] => [1,2,3,4,5,7,6,9,8] => 00000101
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,8,7,9] => 00000010
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => 01000000
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [2,3,4,5,1,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => 00010000
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,7,6,8,9] => 00000100
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [4,2,3,1,5,6,7,8,9] => [2,4,3,1,5,6,7,8,9] => [4,1,3,2,5,6,7,8,9] => 10100000
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [8,2,3,4,5,6,7,1,9] => [2,3,4,5,6,8,7,1,9] => [8,1,2,3,4,5,7,6,9] => 10000010
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [1,2,3,4,5,6,7,9,8,10] => [1,2,3,4,5,6,7,9,8,10] => 000000010
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9] => 10000000
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [5,1,2,3,4,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => 10000000
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [6,1,2,3,4,5,7,8,9] => [2,3,4,5,6,1,7,8,9] => [6,1,2,3,4,5,7,8,9] => 10000000
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [2,3,4,5,6,7,1,8,9] => [7,1,2,3,4,5,6,8,9] => 10000000
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [2,3,4,5,6,7,8,1,9] => [8,1,2,3,4,5,6,7,9] => 10000000
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => 100000000
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => 100000000
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [5,1,2,3,4,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => 100000000
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => 100000000
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [7,1,2,3,4,5,6,8,9,10] => [2,3,4,5,6,7,1,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => 100000000
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [8,1,2,3,4,5,6,7,9,10] => [2,3,4,5,6,7,8,1,9,10] => [8,1,2,3,4,5,6,7,9,10] => 100000000
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [2,3,4,5,6,7,8,9,1,10] => [9,1,2,3,4,5,6,7,8,10] => 100000000
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [9,7,6,5,4,3,2,8,1] => [7,6,5,4,3,2,9,8,1] => [9,6,5,4,3,2,1,8,7] => 11111101
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [9,7,6,5,4,3,1,2,8] => [7,8,6,5,4,3,2,9,1] => [9,7,6,5,4,3,1,2,8] => 11111100
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [8,9,6,5,4,3,2,1,7] => [8,7,6,5,4,3,1,9,2] => [7,9,6,5,4,3,2,1,8] => 01111110
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => 0000000000
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => [8,9,10,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,1,2,3] => 111111100
[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,3,1,2,4] => [7,8,6,9,5,4,3,2,1] => [9,8,7,6,5,3,1,2,4] => 11111100
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [8,7,6,5,4,2,1,3,9] => [7,6,8,5,4,3,2,1,9] => [8,7,6,5,4,2,1,3,9] => 11111100
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [8,9,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,1,2,10] => 111111100
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [3,4,5,1,2,6,7,8,9] => [1,4,2,5,3,6,7,8,9] => [1,3,5,2,4,6,7,8,9] => 00100000
[[[[.,[[[[.,.],.],.],.]],.],.],[.,.]] => [9,2,3,4,5,1,6,7,8] => [2,3,4,6,5,7,8,9,1] => [9,1,2,3,5,4,6,7,8] => 10001000
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [5,3,1,2,4,6,7,8,9] => [3,4,2,5,1,6,7,8,9] => [5,3,1,2,4,6,7,8,9] => 11000000
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [10,8,7,6,5,4,3,2,9,1] => [8,7,6,5,4,3,2,10,9,1] => [10,7,6,5,4,3,2,1,9,8] => 111111101
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [3,4,5,6,7,8,1,2,9] => [1,2,3,4,7,5,8,6,9] => [1,2,3,4,6,8,5,7,9] => 00000100
[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] => [8,9,7,6,5,4,2,1,3] => [8,7,1,9,6,5,4,3,2] => [3,9,8,7,6,5,2,1,4] => 01111110
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [3,4,5,6,7,8,9,10,2,1] => [10,9,1,2,3,4,5,6,7,8] => 110000000
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] => [10,9,8,7,6,5,4,3,2,11,1] => [9,8,7,6,5,4,3,2,1,11,10] => [9,8,7,6,5,4,3,2,1,11,10] => 1111111101
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => [4,5,6,7,8,9,3,2,1] => [9,8,7,1,2,3,4,5,6] => 11100000
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => [5,6,7,8,9,4,3,2,1] => [9,8,7,6,1,2,3,4,5] => 11110000
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => [6,7,8,9,5,4,3,2,1] => [9,8,7,6,5,1,2,3,4] => 11111000
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [9,7,1,2,3,4,5,6,8] => [3,4,5,6,7,8,2,9,1] => [9,7,1,2,3,4,5,6,8] => 11000000
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => [4,5,6,7,8,9,10,3,2,1] => [10,9,8,1,2,3,4,5,6,7] => 111000000
[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [9,8,6,1,2,3,4,5,7] => [4,5,6,7,8,3,9,2,1] => [9,8,6,1,2,3,4,5,7] => 11100000
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => [5,6,7,8,9,10,4,3,2,1] => [10,9,8,7,1,2,3,4,5,6] => 111100000
[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [9,8,7,5,1,2,3,4,6] => [5,6,7,8,4,9,3,2,1] => [9,8,7,5,1,2,3,4,6] => 11110000
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => [6,7,8,9,10,5,4,3,2,1] => [10,9,8,7,6,1,2,3,4,5] => 111110000
[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [9,8,7,6,4,1,2,3,5] => [6,7,8,5,9,4,3,2,1] => [9,8,7,6,4,1,2,3,5] => 11111000
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => [7,8,9,10,6,5,4,3,2,1] => [10,9,8,7,6,5,1,2,3,4] => 111111000
[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.] => [3,2,4,1,5,6,7,8,9] => [2,1,4,3,5,6,7,8,9] => [2,1,4,3,5,6,7,8,9] => 10100000
[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] => [10,9,11,8,7,6,5,4,3,2,1] => [2,1,11,10,9,8,7,6,5,4,3] => [2,1,11,10,9,8,7,6,5,4,3] => 1011111111
[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [9,8,10,7,6,5,4,3,1,2] => [9,2,1,10,8,7,6,5,4,3] => [3,2,10,9,8,7,6,5,1,4] => 101111110
[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] => [8,9,7,6,5,4,2,3,1] => [7,1,9,8,6,5,4,3,2] => [2,9,8,7,6,5,1,4,3] => 01111101
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [1,11,10,9,8,7,6,5,4,3,2] => [1,11,10,9,8,7,6,5,4,3,2] => 0111111111
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [1,7,6,5,4,3,2,9,8] => [1,7,6,5,4,3,2,9,8] => 01111101
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [1,4,3,2,5,6,7,8,9] => [1,4,3,2,5,6,7,8,9] => 01100000
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [6,5,4,3,2,1,8,7,9] => [6,5,4,3,2,1,8,7,9] => 11111010
[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.] => [6,5,4,3,2,7,1,8,9] => [5,4,3,2,1,7,6,8,9] => [5,4,3,2,1,7,6,8,9] => 11110100
[[[[.,[[.,[.,[.,[.,.]]]],.]],.],.],.] => [5,4,3,2,6,1,7,8,9] => [4,3,2,1,6,5,7,8,9] => [4,3,2,1,6,5,7,8,9] => 11101000
[[[[[.,[[.,[.,[.,.]]],.]],.],.],.],.] => [4,3,2,5,1,6,7,8,9] => [3,2,1,5,4,6,7,8,9] => [3,2,1,5,4,6,7,8,9] => 11010000
[[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]] => [8,9,7,6,4,3,2,1,5] => [8,7,6,5,1,9,4,3,2] => [5,9,8,7,4,3,2,1,6] => 01111110
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [2,1,3,4,5,6,8,7,9] => [2,1,3,4,5,6,8,7,9] => 10000010
[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.] => [8,7,5,4,3,2,1,6,9] => [7,6,5,4,3,8,2,1,9] => [8,7,5,4,3,2,1,6,9] => 11111100
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [9,7,6,5,4,3,2,1,8,10] => [8,7,6,5,4,3,2,9,1,10] => [9,7,6,5,4,3,2,1,8,10] => 111111100
[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [8,7,6,5,4,3,9,1,2] => [8,6,5,4,3,2,1,9,7] => [7,6,5,4,3,2,9,1,8] => 11111010
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [9,2,3,4,5,6,7,1,8] => [2,3,4,5,6,8,7,9,1] => [9,1,2,3,4,5,7,6,8] => 10000010
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [3,4,1,2,5,6,7,8,9] => [3,1,4,2,5,6,7,8,9] => [2,4,1,3,5,6,7,8,9] => 01000000
[.,[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,9,2,10,1] => [1,2,3,4,5,6,8,7,10,9] => [1,2,3,4,5,6,8,7,10,9] => 000000101
[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]] => [10,11,1,2,3,4,5,6,7,8,9] => [3,4,5,6,7,8,9,10,1,11,2] => [9,11,1,2,3,4,5,6,7,8,10] => 0100000000
[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.] => [8,7,6,5,4,1,2,3,9] => [6,7,8,5,4,3,2,1,9] => [8,7,6,5,4,1,2,3,9] => 11111000
[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] => [10,3,1,2,4,5,6,7,8,9] => [3,4,2,5,6,7,8,9,10,1] => [10,3,1,2,4,5,6,7,8,9] => 110000000
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [10,8,7,6,5,4,3,1,2,9] => [8,9,7,6,5,4,3,2,10,1] => [10,8,7,6,5,4,3,1,2,9] => 111111100
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [9,10,7,6,5,4,3,2,1,8] => [9,8,7,6,5,4,3,1,10,2] => [8,10,7,6,5,4,3,2,1,9] => 011111110
[.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]] => [9,3,4,5,6,7,8,2,1] => [2,3,4,5,6,9,8,7,1] => [9,1,2,3,4,5,8,7,6] => 10000011
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]] => [11,9,10,8,7,6,5,4,3,2,1] => [2,11,10,9,8,7,6,5,4,3,1] => [11,1,10,9,8,7,6,5,4,3,2] => 1011111111
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
Lehmer-code to major-code bijection
Description
Sends a permutation to the unique permutation such that the Lehmer code is sent to the major code.
The Lehmer code encodes the inversions of a permutation and the major code encodes its major index. In particular, the number of inversions of a permutation equals the major index of its image under this map.
* The Lehmer code of a permutation $\sigma$ is given by $L(\sigma) = l_1 \ldots l_n$ with $l_i = \# \{ j > i : \sigma_j < \sigma_i \}$. In particular, $l_i$ is the number of boxes in the $i$-th column of the Rothe diagram. For example, the Lehmer code of $\sigma = [4,3,1,5,2]$ is $32010$. The Lehmer code $L : \mathfrak{S}_n\ \tilde\longrightarrow\ S_n$ is a bijection between permutations of size $n$ and sequences $l_1\ldots l_n \in \mathbf{N}^n$ with $l_i \leq i$.
* The major code $M(\sigma)$ of a permutation $\sigma \in \mathfrak{S}_n$ is a way to encode a permutation as a sequence $m_1 m_2 \ldots m_n$ with $m_i \geq i$. To define $m_i$, let $\operatorname{del}_i(\sigma)$ be the normalized permutation obtained by removing all $\sigma_j < i$ from the one-line notation of $\sigma$. The $i$-th index is then given by
$$m_i = \operatorname{maj}(\operatorname{del}_i(\sigma)) - \operatorname{maj}(\operatorname{del}_{i-1}(\sigma)).$$
For example, the permutation $[9,3,5,7,2,1,4,6,8]$ has major code $[5, 0, 1, 0, 1, 2, 0, 1, 0]$ since
$$\operatorname{maj}([8,2,4,6,1,3,5,7]) = 5, \quad \operatorname{maj}([7,1,3,5,2,4,6]) = 5, \quad \operatorname{maj}([6,2,4,1,3,5]) = 4,$$
$$\operatorname{maj}([5,1,3,2,4]) = 4, \quad \operatorname{maj}([4,2,1,3]) = 3, \quad \operatorname{maj}([3,1,2]) = 1, \quad \operatorname{maj}([2,1]) = 1.$$
Observe that the sum of the major code of $\sigma$ equals the major index of $\sigma$.
The Lehmer code encodes the inversions of a permutation and the major code encodes its major index. In particular, the number of inversions of a permutation equals the major index of its image under this map.
* The Lehmer code of a permutation $\sigma$ is given by $L(\sigma) = l_1 \ldots l_n$ with $l_i = \# \{ j > i : \sigma_j < \sigma_i \}$. In particular, $l_i$ is the number of boxes in the $i$-th column of the Rothe diagram. For example, the Lehmer code of $\sigma = [4,3,1,5,2]$ is $32010$. The Lehmer code $L : \mathfrak{S}_n\ \tilde\longrightarrow\ S_n$ is a bijection between permutations of size $n$ and sequences $l_1\ldots l_n \in \mathbf{N}^n$ with $l_i \leq i$.
* The major code $M(\sigma)$ of a permutation $\sigma \in \mathfrak{S}_n$ is a way to encode a permutation as a sequence $m_1 m_2 \ldots m_n$ with $m_i \geq i$. To define $m_i$, let $\operatorname{del}_i(\sigma)$ be the normalized permutation obtained by removing all $\sigma_j < i$ from the one-line notation of $\sigma$. The $i$-th index is then given by
$$m_i = \operatorname{maj}(\operatorname{del}_i(\sigma)) - \operatorname{maj}(\operatorname{del}_{i-1}(\sigma)).$$
For example, the permutation $[9,3,5,7,2,1,4,6,8]$ has major code $[5, 0, 1, 0, 1, 2, 0, 1, 0]$ since
$$\operatorname{maj}([8,2,4,6,1,3,5,7]) = 5, \quad \operatorname{maj}([7,1,3,5,2,4,6]) = 5, \quad \operatorname{maj}([6,2,4,1,3,5]) = 4,$$
$$\operatorname{maj}([5,1,3,2,4]) = 4, \quad \operatorname{maj}([4,2,1,3]) = 3, \quad \operatorname{maj}([3,1,2]) = 1, \quad \operatorname{maj}([2,1]) = 1.$$
Observe that the sum of the major code of $\sigma$ equals the major index of $\sigma$.
Map
inverse
Description
Sends a permutation to its inverse.
Map
descent word
Description
The descent positions of a permutation as a binary word.
For a permutation $\pi$ of $n$ letters and each $1\leq i\leq n-1$ such that $\pi(i) > \pi(i+1)$ we set $w_i=1$, otherwise $w_i=0$.
Thus, the length of the word is one less the size of the permutation. In particular, the descent word is undefined for the empty permutation.
For a permutation $\pi$ of $n$ letters and each $1\leq i\leq n-1$ such that $\pi(i) > \pi(i+1)$ we set $w_i=1$, otherwise $w_i=0$.
Thus, the length of the word is one less the size of the permutation. In particular, the descent word is undefined for the empty permutation.
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