Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00131: Permutations —descent bottoms⟶ Binary words
Mp00064: Permutations —reverse⟶ Permutations
Mp00131: Permutations —descent bottoms⟶ Binary words
Images
[.,.] => [1] => [1] =>
[.,[.,.]] => [2,1] => [1,2] => 0
[[.,.],.] => [1,2] => [2,1] => 1
[.,[.,[.,.]]] => [3,2,1] => [1,2,3] => 00
[.,[[.,.],.]] => [2,3,1] => [1,3,2] => 01
[[.,.],[.,.]] => [3,1,2] => [2,1,3] => 10
[[.,[.,.]],.] => [2,1,3] => [3,1,2] => 10
[[[.,.],.],.] => [1,2,3] => [3,2,1] => 11
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,2,3,4] => 000
[.,[.,[[.,.],.]]] => [3,4,2,1] => [1,2,4,3] => 001
[.,[[.,.],[.,.]]] => [4,2,3,1] => [1,3,2,4] => 010
[.,[[.,[.,.]],.]] => [3,2,4,1] => [1,4,2,3] => 010
[.,[[[.,.],.],.]] => [2,3,4,1] => [1,4,3,2] => 011
[[.,.],[.,[.,.]]] => [4,3,1,2] => [2,1,3,4] => 100
[[.,.],[[.,.],.]] => [3,4,1,2] => [2,1,4,3] => 101
[[.,[.,.]],[.,.]] => [4,2,1,3] => [3,1,2,4] => 100
[[[.,.],.],[.,.]] => [4,1,2,3] => [3,2,1,4] => 110
[[.,[.,[.,.]]],.] => [3,2,1,4] => [4,1,2,3] => 100
[[.,[[.,.],.]],.] => [2,3,1,4] => [4,1,3,2] => 110
[[[.,.],[.,.]],.] => [3,1,2,4] => [4,2,1,3] => 110
[[[.,[.,.]],.],.] => [2,1,3,4] => [4,3,1,2] => 101
[[[[.,.],.],.],.] => [1,2,3,4] => [4,3,2,1] => 111
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,2,3,4,5] => 0000
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [1,2,3,5,4] => 0001
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [1,2,4,3,5] => 0010
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [1,2,5,3,4] => 0010
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [1,2,5,4,3] => 0011
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [1,3,2,4,5] => 0100
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [1,3,2,5,4] => 0101
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [1,4,2,3,5] => 0100
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [1,4,3,2,5] => 0110
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [1,5,2,3,4] => 0100
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [1,5,2,4,3] => 0110
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [1,5,3,2,4] => 0110
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [1,5,4,2,3] => 0101
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [1,5,4,3,2] => 0111
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [2,1,3,4,5] => 1000
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [2,1,3,5,4] => 1001
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [2,1,4,3,5] => 1010
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [2,1,5,3,4] => 1010
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [2,1,5,4,3] => 1011
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [3,1,2,4,5] => 1000
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [3,1,2,5,4] => 1001
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [3,2,1,4,5] => 1100
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [3,2,1,5,4] => 1101
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [4,1,2,3,5] => 1000
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [4,1,3,2,5] => 1100
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [4,2,1,3,5] => 1100
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [4,3,1,2,5] => 1010
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [4,3,2,1,5] => 1110
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [5,1,2,3,4] => 1000
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [5,1,2,4,3] => 1010
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [5,1,3,2,4] => 1100
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [5,1,4,2,3] => 1100
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [5,1,4,3,2] => 1110
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [5,2,1,3,4] => 1100
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [5,2,1,4,3] => 1110
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [5,3,1,2,4] => 1010
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [5,3,2,1,4] => 1110
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [5,4,1,2,3] => 1001
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [5,4,1,3,2] => 1101
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [5,4,2,1,3] => 1101
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [5,4,3,1,2] => 1011
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [5,4,3,2,1] => 1111
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,2,3,4,5,6] => 00000
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [1,2,3,4,6,5] => 00001
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [1,2,3,5,4,6] => 00010
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [1,2,3,6,4,5] => 00010
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [1,2,3,6,5,4] => 00011
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [1,2,4,3,5,6] => 00100
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [1,2,4,3,6,5] => 00101
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [1,2,5,3,4,6] => 00100
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [1,2,5,4,3,6] => 00110
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [1,2,6,3,4,5] => 00100
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [1,2,6,3,5,4] => 00110
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [1,2,6,4,3,5] => 00110
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [1,2,6,5,3,4] => 00101
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [1,2,6,5,4,3] => 00111
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [1,3,2,4,5,6] => 01000
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [1,3,2,4,6,5] => 01001
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [1,3,2,5,4,6] => 01010
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [1,3,2,6,4,5] => 01010
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [1,3,2,6,5,4] => 01011
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [1,4,2,3,5,6] => 01000
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [1,4,2,3,6,5] => 01001
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [1,4,3,2,5,6] => 01100
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [1,4,3,2,6,5] => 01101
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [1,5,2,3,4,6] => 01000
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [1,5,2,4,3,6] => 01100
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [1,5,3,2,4,6] => 01100
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [1,5,4,2,3,6] => 01010
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [1,5,4,3,2,6] => 01110
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [1,6,2,3,4,5] => 01000
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [1,6,2,3,5,4] => 01010
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [1,6,2,4,3,5] => 01100
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [1,6,2,5,3,4] => 01100
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [1,6,2,5,4,3] => 01110
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [1,6,3,2,4,5] => 01100
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [1,6,3,2,5,4] => 01110
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [1,6,4,2,3,5] => 01010
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [1,6,4,3,2,5] => 01110
>>> Load all 1962 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [1,6,5,2,3,4] => 01001
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [1,6,5,2,4,3] => 01101
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [1,6,5,3,2,4] => 01101
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [1,6,5,4,2,3] => 01011
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [1,6,5,4,3,2] => 01111
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [2,1,3,4,5,6] => 10000
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [2,1,3,4,6,5] => 10001
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [2,1,3,5,4,6] => 10010
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [2,1,3,6,4,5] => 10010
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [2,1,3,6,5,4] => 10011
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [2,1,4,3,5,6] => 10100
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [2,1,4,3,6,5] => 10101
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [2,1,5,3,4,6] => 10100
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,1,5,4,3,6] => 10110
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [2,1,6,3,4,5] => 10100
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [2,1,6,3,5,4] => 10110
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,1,6,4,3,5] => 10110
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [2,1,6,5,3,4] => 10101
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [2,1,6,5,4,3] => 10111
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [3,1,2,4,5,6] => 10000
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [3,1,2,4,6,5] => 10001
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [3,1,2,5,4,6] => 10010
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [3,1,2,6,4,5] => 10010
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [3,1,2,6,5,4] => 10011
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [3,2,1,4,5,6] => 11000
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [3,2,1,4,6,5] => 11001
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [3,2,1,5,4,6] => 11010
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [3,2,1,6,4,5] => 11010
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [3,2,1,6,5,4] => 11011
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [4,1,2,3,5,6] => 10000
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [4,1,2,3,6,5] => 10001
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [4,1,3,2,5,6] => 11000
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [4,1,3,2,6,5] => 11001
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,2,1,3,5,6] => 11000
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,2,1,3,6,5] => 11001
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,3,1,2,5,6] => 10100
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,3,1,2,6,5] => 10101
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [4,3,2,1,5,6] => 11100
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [4,3,2,1,6,5] => 11101
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [5,1,2,3,4,6] => 10000
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [5,1,2,4,3,6] => 10100
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [5,1,3,2,4,6] => 11000
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [5,1,4,2,3,6] => 11000
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [5,1,4,3,2,6] => 11100
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [5,2,1,3,4,6] => 11000
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [5,2,1,4,3,6] => 11100
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [5,3,1,2,4,6] => 10100
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [5,3,2,1,4,6] => 11100
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [5,4,1,2,3,6] => 10010
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [5,4,1,3,2,6] => 11010
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [5,4,2,1,3,6] => 11010
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [5,4,3,1,2,6] => 10110
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [5,4,3,2,1,6] => 11110
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [6,1,2,3,4,5] => 10000
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [6,1,2,3,5,4] => 10010
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [6,1,2,4,3,5] => 10100
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [6,1,2,5,3,4] => 10100
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [6,1,2,5,4,3] => 10110
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [6,1,3,2,4,5] => 11000
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [6,1,3,2,5,4] => 11010
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [6,1,4,2,3,5] => 11000
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [6,1,4,3,2,5] => 11100
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [6,1,5,2,3,4] => 11000
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [6,1,5,2,4,3] => 11100
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [6,1,5,3,2,4] => 11100
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [6,1,5,4,2,3] => 11010
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [6,1,5,4,3,2] => 11110
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [6,2,1,3,4,5] => 11000
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [6,2,1,3,5,4] => 11010
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [6,2,1,4,3,5] => 11100
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [6,2,1,5,3,4] => 11100
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [6,2,1,5,4,3] => 11110
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [6,3,1,2,4,5] => 10100
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [6,3,1,2,5,4] => 10110
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [6,3,2,1,4,5] => 11100
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [6,3,2,1,5,4] => 11110
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [6,4,1,2,3,5] => 10010
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [6,4,1,3,2,5] => 11010
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [6,4,2,1,3,5] => 11010
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [6,4,3,1,2,5] => 10110
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [6,4,3,2,1,5] => 11110
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [6,5,1,2,3,4] => 10001
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [6,5,1,2,4,3] => 10101
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [6,5,1,3,2,4] => 11001
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [6,5,1,4,2,3] => 11001
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [6,5,1,4,3,2] => 11101
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [6,5,2,1,3,4] => 11001
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [6,5,2,1,4,3] => 11101
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [6,5,3,1,2,4] => 10101
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [6,5,3,2,1,4] => 11101
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [6,5,4,1,2,3] => 10011
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [6,5,4,1,3,2] => 11011
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [6,5,4,2,1,3] => 11011
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [6,5,4,3,1,2] => 10111
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => 11111
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => 000000
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [1,2,3,4,5,7,6] => 000001
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [1,2,3,4,6,5,7] => 000010
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [1,2,3,4,7,5,6] => 000010
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [1,2,3,4,7,6,5] => 000011
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [1,2,3,5,4,6,7] => 000100
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [1,2,3,5,4,7,6] => 000101
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [1,2,3,6,4,5,7] => 000100
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [1,2,3,6,5,4,7] => 000110
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [1,2,3,7,4,5,6] => 000100
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [1,2,3,7,4,6,5] => 000110
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [1,2,3,7,5,4,6] => 000110
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [1,2,3,7,6,4,5] => 000101
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [1,2,3,7,6,5,4] => 000111
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [1,2,4,3,5,6,7] => 001000
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [1,2,4,3,5,7,6] => 001001
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [1,2,4,3,6,5,7] => 001010
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [1,2,4,3,7,5,6] => 001010
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [1,2,4,3,7,6,5] => 001011
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [1,2,5,3,4,6,7] => 001000
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [1,2,5,3,4,7,6] => 001001
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [1,2,5,4,3,6,7] => 001100
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [1,2,5,4,3,7,6] => 001101
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [1,2,6,3,4,5,7] => 001000
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [1,2,6,3,5,4,7] => 001100
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [1,2,6,4,3,5,7] => 001100
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [1,2,6,5,3,4,7] => 001010
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [1,2,6,5,4,3,7] => 001110
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [1,2,7,3,4,5,6] => 001000
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [1,2,7,3,4,6,5] => 001010
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [1,2,7,3,5,4,6] => 001100
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [1,2,7,3,6,4,5] => 001100
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [1,2,7,3,6,5,4] => 001110
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [1,2,7,4,3,5,6] => 001100
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [1,2,7,4,3,6,5] => 001110
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [1,2,7,5,3,4,6] => 001010
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [1,2,7,5,4,3,6] => 001110
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [1,2,7,6,3,4,5] => 001001
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [1,2,7,6,3,5,4] => 001101
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [1,2,7,6,4,3,5] => 001101
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [1,2,7,6,5,3,4] => 001011
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [1,2,7,6,5,4,3] => 001111
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [1,3,2,4,5,6,7] => 010000
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [1,3,2,4,5,7,6] => 010001
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [1,3,2,4,6,5,7] => 010010
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [1,3,2,4,7,5,6] => 010010
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [1,3,2,4,7,6,5] => 010011
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [1,3,2,5,4,6,7] => 010100
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [1,3,2,5,4,7,6] => 010101
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [1,3,2,6,4,5,7] => 010100
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [1,3,2,6,5,4,7] => 010110
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [1,3,2,7,4,5,6] => 010100
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [1,3,2,7,4,6,5] => 010110
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [1,3,2,7,5,4,6] => 010110
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [1,3,2,7,6,4,5] => 010101
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [1,3,2,7,6,5,4] => 010111
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [1,4,2,3,5,6,7] => 010000
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [1,4,2,3,5,7,6] => 010001
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [1,4,2,3,6,5,7] => 010010
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [1,4,2,3,7,5,6] => 010010
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [1,4,2,3,7,6,5] => 010011
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [1,4,3,2,5,6,7] => 011000
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [1,4,3,2,5,7,6] => 011001
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [1,4,3,2,6,5,7] => 011010
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [1,4,3,2,7,5,6] => 011010
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [1,4,3,2,7,6,5] => 011011
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [1,5,2,3,4,6,7] => 010000
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [1,5,2,3,4,7,6] => 010001
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [1,5,2,4,3,6,7] => 011000
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [1,5,2,4,3,7,6] => 011001
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [1,5,3,2,4,6,7] => 011000
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [1,5,3,2,4,7,6] => 011001
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [1,5,4,2,3,6,7] => 010100
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [1,5,4,2,3,7,6] => 010101
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [1,5,4,3,2,6,7] => 011100
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [1,5,4,3,2,7,6] => 011101
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [1,6,2,3,4,5,7] => 010000
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [1,6,2,3,5,4,7] => 010100
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [1,6,2,4,3,5,7] => 011000
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [1,6,2,5,3,4,7] => 011000
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [1,6,2,5,4,3,7] => 011100
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [1,6,3,2,4,5,7] => 011000
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [1,6,3,2,5,4,7] => 011100
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [1,6,4,2,3,5,7] => 010100
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [1,6,4,3,2,5,7] => 011100
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [1,6,5,2,3,4,7] => 010010
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [1,6,5,2,4,3,7] => 011010
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [1,6,5,3,2,4,7] => 011010
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [1,6,5,4,2,3,7] => 010110
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [1,6,5,4,3,2,7] => 011110
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [1,7,2,3,4,5,6] => 010000
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [1,7,2,3,4,6,5] => 010010
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [1,7,2,3,5,4,6] => 010100
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [1,7,2,3,6,4,5] => 010100
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [1,7,2,3,6,5,4] => 010110
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [1,7,2,4,3,5,6] => 011000
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [1,7,2,4,3,6,5] => 011010
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [1,7,2,5,3,4,6] => 011000
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [1,7,2,5,4,3,6] => 011100
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [1,7,2,6,3,4,5] => 011000
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [1,7,2,6,3,5,4] => 011100
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [1,7,2,6,4,3,5] => 011100
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [1,7,2,6,5,3,4] => 011010
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [1,7,2,6,5,4,3] => 011110
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [1,7,3,2,4,5,6] => 011000
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [1,7,3,2,4,6,5] => 011010
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [1,7,3,2,5,4,6] => 011100
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [1,7,3,2,6,4,5] => 011100
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [1,7,3,2,6,5,4] => 011110
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [1,7,4,2,3,5,6] => 010100
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [1,7,4,2,3,6,5] => 010110
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [1,7,4,3,2,5,6] => 011100
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [1,7,4,3,2,6,5] => 011110
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [1,7,5,2,3,4,6] => 010010
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [1,7,5,2,4,3,6] => 011010
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [1,7,5,3,2,4,6] => 011010
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [1,7,5,4,2,3,6] => 010110
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [1,7,5,4,3,2,6] => 011110
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [1,7,6,2,3,4,5] => 010001
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [1,7,6,2,3,5,4] => 010101
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [1,7,6,2,4,3,5] => 011001
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [1,7,6,2,5,3,4] => 011001
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [1,7,6,2,5,4,3] => 011101
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [1,7,6,3,2,4,5] => 011001
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [1,7,6,3,2,5,4] => 011101
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [1,7,6,4,2,3,5] => 010101
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [1,7,6,4,3,2,5] => 011101
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [1,7,6,5,2,3,4] => 010011
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [1,7,6,5,2,4,3] => 011011
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [1,7,6,5,3,2,4] => 011011
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [1,7,6,5,4,2,3] => 010111
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [1,7,6,5,4,3,2] => 011111
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [2,1,3,4,5,6,7] => 100000
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [2,1,3,4,5,7,6] => 100001
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [2,1,3,4,6,5,7] => 100010
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [2,1,3,4,7,5,6] => 100010
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [2,1,3,4,7,6,5] => 100011
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [2,1,3,5,4,6,7] => 100100
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [2,1,3,5,4,7,6] => 100101
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [2,1,3,6,4,5,7] => 100100
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [2,1,3,6,5,4,7] => 100110
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [2,1,3,7,4,5,6] => 100100
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [2,1,3,7,4,6,5] => 100110
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [2,1,3,7,5,4,6] => 100110
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [2,1,3,7,6,4,5] => 100101
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [2,1,3,7,6,5,4] => 100111
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [2,1,4,3,5,6,7] => 101000
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [2,1,4,3,5,7,6] => 101001
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [2,1,4,3,6,5,7] => 101010
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [2,1,4,3,7,5,6] => 101010
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [2,1,4,3,7,6,5] => 101011
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [2,1,5,3,4,6,7] => 101000
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [2,1,5,3,4,7,6] => 101001
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [2,1,5,4,3,6,7] => 101100
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [2,1,5,4,3,7,6] => 101101
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [2,1,6,3,4,5,7] => 101000
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [2,1,6,3,5,4,7] => 101100
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [2,1,6,4,3,5,7] => 101100
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [2,1,6,5,3,4,7] => 101010
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [2,1,6,5,4,3,7] => 101110
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [2,1,7,3,4,5,6] => 101000
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [2,1,7,3,4,6,5] => 101010
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [2,1,7,3,5,4,6] => 101100
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [2,1,7,3,6,4,5] => 101100
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [2,1,7,3,6,5,4] => 101110
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [2,1,7,4,3,5,6] => 101100
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [2,1,7,4,3,6,5] => 101110
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [2,1,7,5,3,4,6] => 101010
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [2,1,7,5,4,3,6] => 101110
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [2,1,7,6,3,4,5] => 101001
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [2,1,7,6,3,5,4] => 101101
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [2,1,7,6,4,3,5] => 101101
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [2,1,7,6,5,3,4] => 101011
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [2,1,7,6,5,4,3] => 101111
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [3,1,2,4,5,6,7] => 100000
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [3,1,2,4,5,7,6] => 100001
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [3,1,2,4,6,5,7] => 100010
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [3,1,2,4,7,5,6] => 100010
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [3,1,2,4,7,6,5] => 100011
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [3,1,2,5,4,6,7] => 100100
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [3,1,2,5,4,7,6] => 100101
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [3,1,2,6,4,5,7] => 100100
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [3,1,2,6,5,4,7] => 100110
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [3,1,2,7,4,5,6] => 100100
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [3,1,2,7,4,6,5] => 100110
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [3,1,2,7,5,4,6] => 100110
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [3,1,2,7,6,4,5] => 100101
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [3,1,2,7,6,5,4] => 100111
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [3,2,1,4,5,6,7] => 110000
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [3,2,1,4,5,7,6] => 110001
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [3,2,1,4,6,5,7] => 110010
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [3,2,1,4,7,5,6] => 110010
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [3,2,1,4,7,6,5] => 110011
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [3,2,1,5,4,6,7] => 110100
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [3,2,1,5,4,7,6] => 110101
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [3,2,1,6,4,5,7] => 110100
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [3,2,1,6,5,4,7] => 110110
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [3,2,1,7,4,5,6] => 110100
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [3,2,1,7,4,6,5] => 110110
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [3,2,1,7,5,4,6] => 110110
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [3,2,1,7,6,4,5] => 110101
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [3,2,1,7,6,5,4] => 110111
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [4,1,2,3,5,6,7] => 100000
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [4,1,2,3,5,7,6] => 100001
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [4,1,2,3,6,5,7] => 100010
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [4,1,2,3,7,5,6] => 100010
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [4,1,2,3,7,6,5] => 100011
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [4,1,3,2,5,6,7] => 110000
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [4,1,3,2,5,7,6] => 110001
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [4,1,3,2,6,5,7] => 110010
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [4,1,3,2,7,5,6] => 110010
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [4,1,3,2,7,6,5] => 110011
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [4,2,1,3,5,6,7] => 110000
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [4,2,1,3,5,7,6] => 110001
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [4,2,1,3,6,5,7] => 110010
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [4,2,1,3,7,5,6] => 110010
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [4,2,1,3,7,6,5] => 110011
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [4,3,1,2,5,6,7] => 101000
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [4,3,1,2,5,7,6] => 101001
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [4,3,1,2,6,5,7] => 101010
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [4,3,1,2,7,5,6] => 101010
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [4,3,1,2,7,6,5] => 101011
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [4,3,2,1,5,6,7] => 111000
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [4,3,2,1,5,7,6] => 111001
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [4,3,2,1,6,5,7] => 111010
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [4,3,2,1,7,5,6] => 111010
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [4,3,2,1,7,6,5] => 111011
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [5,1,2,3,4,6,7] => 100000
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [5,1,2,3,4,7,6] => 100001
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [5,1,2,4,3,6,7] => 101000
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [5,1,2,4,3,7,6] => 101001
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [5,1,3,2,4,6,7] => 110000
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [5,1,3,2,4,7,6] => 110001
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [5,1,4,2,3,6,7] => 110000
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [5,1,4,2,3,7,6] => 110001
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [5,1,4,3,2,6,7] => 111000
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [5,1,4,3,2,7,6] => 111001
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [5,2,1,3,4,6,7] => 110000
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [5,2,1,3,4,7,6] => 110001
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [5,2,1,4,3,6,7] => 111000
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [5,2,1,4,3,7,6] => 111001
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [5,3,1,2,4,6,7] => 101000
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [5,3,1,2,4,7,6] => 101001
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [5,3,2,1,4,6,7] => 111000
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [5,3,2,1,4,7,6] => 111001
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [5,4,1,2,3,6,7] => 100100
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [5,4,1,2,3,7,6] => 100101
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [5,4,1,3,2,6,7] => 110100
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [5,4,1,3,2,7,6] => 110101
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [5,4,2,1,3,6,7] => 110100
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [5,4,2,1,3,7,6] => 110101
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [5,4,3,1,2,6,7] => 101100
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [5,4,3,1,2,7,6] => 101101
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [5,4,3,2,1,6,7] => 111100
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [5,4,3,2,1,7,6] => 111101
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [6,1,2,3,4,5,7] => 100000
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [6,1,2,3,5,4,7] => 100100
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [6,1,2,4,3,5,7] => 101000
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [6,1,2,5,3,4,7] => 101000
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [6,1,2,5,4,3,7] => 101100
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [6,1,3,2,4,5,7] => 110000
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [6,1,3,2,5,4,7] => 110100
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [6,1,4,2,3,5,7] => 110000
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [6,1,4,3,2,5,7] => 111000
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [6,1,5,2,3,4,7] => 110000
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [6,1,5,2,4,3,7] => 111000
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [6,1,5,3,2,4,7] => 111000
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [6,1,5,4,2,3,7] => 110100
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [6,1,5,4,3,2,7] => 111100
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [6,2,1,3,4,5,7] => 110000
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [6,2,1,3,5,4,7] => 110100
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [6,2,1,4,3,5,7] => 111000
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [6,2,1,5,3,4,7] => 111000
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [6,2,1,5,4,3,7] => 111100
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [6,3,1,2,4,5,7] => 101000
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [6,3,1,2,5,4,7] => 101100
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [6,3,2,1,4,5,7] => 111000
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [6,3,2,1,5,4,7] => 111100
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [6,4,1,2,3,5,7] => 100100
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [6,4,1,3,2,5,7] => 110100
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [6,4,2,1,3,5,7] => 110100
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [6,4,3,1,2,5,7] => 101100
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [6,4,3,2,1,5,7] => 111100
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [6,5,1,2,3,4,7] => 100010
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [6,5,1,2,4,3,7] => 101010
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [6,5,1,3,2,4,7] => 110010
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [6,5,1,4,2,3,7] => 110010
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [6,5,1,4,3,2,7] => 111010
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [6,5,2,1,3,4,7] => 110010
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [6,5,2,1,4,3,7] => 111010
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [6,5,3,1,2,4,7] => 101010
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [6,5,3,2,1,4,7] => 111010
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [6,5,4,1,2,3,7] => 100110
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [6,5,4,1,3,2,7] => 110110
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [6,5,4,2,1,3,7] => 110110
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [6,5,4,3,1,2,7] => 101110
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [6,5,4,3,2,1,7] => 111110
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [7,1,2,3,4,5,6] => 100000
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [7,1,2,3,4,6,5] => 100010
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [7,1,2,3,5,4,6] => 100100
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [7,1,2,3,6,4,5] => 100100
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [7,1,2,3,6,5,4] => 100110
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [7,1,2,4,3,5,6] => 101000
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [7,1,2,4,3,6,5] => 101010
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [7,1,2,5,3,4,6] => 101000
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [7,1,2,5,4,3,6] => 101100
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [7,1,2,6,3,4,5] => 101000
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [7,1,2,6,3,5,4] => 101100
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [7,1,2,6,4,3,5] => 101100
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [7,1,2,6,5,3,4] => 101010
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [7,1,2,6,5,4,3] => 101110
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [7,1,3,2,4,5,6] => 110000
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [7,1,3,2,4,6,5] => 110010
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [7,1,3,2,5,4,6] => 110100
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [7,1,3,2,6,4,5] => 110100
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [7,1,3,2,6,5,4] => 110110
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [7,1,4,2,3,5,6] => 110000
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [7,1,4,2,3,6,5] => 110010
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [7,1,4,3,2,5,6] => 111000
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [7,1,4,3,2,6,5] => 111010
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [7,1,5,2,3,4,6] => 110000
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [7,1,5,2,4,3,6] => 111000
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [7,1,5,3,2,4,6] => 111000
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [7,1,5,4,2,3,6] => 110100
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [7,1,5,4,3,2,6] => 111100
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [7,1,6,2,3,4,5] => 110000
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [7,1,6,2,3,5,4] => 110100
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [7,1,6,2,4,3,5] => 111000
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [7,1,6,2,5,3,4] => 111000
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [7,1,6,2,5,4,3] => 111100
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [7,1,6,3,2,4,5] => 111000
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [7,1,6,3,2,5,4] => 111100
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [7,1,6,4,2,3,5] => 110100
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [7,1,6,4,3,2,5] => 111100
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [7,1,6,5,2,3,4] => 110010
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [7,1,6,5,2,4,3] => 111010
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [7,1,6,5,3,2,4] => 111010
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [7,1,6,5,4,2,3] => 110110
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [7,1,6,5,4,3,2] => 111110
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [7,2,1,3,4,5,6] => 110000
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [7,2,1,3,4,6,5] => 110010
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [7,2,1,3,5,4,6] => 110100
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [7,2,1,3,6,4,5] => 110100
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [7,2,1,3,6,5,4] => 110110
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [7,2,1,4,3,5,6] => 111000
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [7,2,1,4,3,6,5] => 111010
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [7,2,1,5,3,4,6] => 111000
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [7,2,1,5,4,3,6] => 111100
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [7,2,1,6,3,4,5] => 111000
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [7,2,1,6,3,5,4] => 111100
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [7,2,1,6,4,3,5] => 111100
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [7,2,1,6,5,3,4] => 111010
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [7,2,1,6,5,4,3] => 111110
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [7,3,1,2,4,5,6] => 101000
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [7,3,1,2,4,6,5] => 101010
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [7,3,1,2,5,4,6] => 101100
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [7,3,1,2,6,4,5] => 101100
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [7,3,1,2,6,5,4] => 101110
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [7,3,2,1,4,5,6] => 111000
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [7,3,2,1,4,6,5] => 111010
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [7,3,2,1,5,4,6] => 111100
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [7,3,2,1,6,4,5] => 111100
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [7,3,2,1,6,5,4] => 111110
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [7,4,1,2,3,5,6] => 100100
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [7,4,1,2,3,6,5] => 100110
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [7,4,1,3,2,5,6] => 110100
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [7,4,1,3,2,6,5] => 110110
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [7,4,2,1,3,5,6] => 110100
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [7,4,2,1,3,6,5] => 110110
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [7,4,3,1,2,5,6] => 101100
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [7,4,3,1,2,6,5] => 101110
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [7,4,3,2,1,5,6] => 111100
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [7,4,3,2,1,6,5] => 111110
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [7,5,1,2,3,4,6] => 100010
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [7,5,1,2,4,3,6] => 101010
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [7,5,1,3,2,4,6] => 110010
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [7,5,1,4,2,3,6] => 110010
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [7,5,1,4,3,2,6] => 111010
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [7,5,2,1,3,4,6] => 110010
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [7,5,2,1,4,3,6] => 111010
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [7,5,3,1,2,4,6] => 101010
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [7,5,3,2,1,4,6] => 111010
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [7,5,4,1,2,3,6] => 100110
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [7,5,4,1,3,2,6] => 110110
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [7,5,4,2,1,3,6] => 110110
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [7,5,4,3,1,2,6] => 101110
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [7,5,4,3,2,1,6] => 111110
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [7,6,1,2,3,4,5] => 100001
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [7,6,1,2,3,5,4] => 100101
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [7,6,1,2,4,3,5] => 101001
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [7,6,1,2,5,3,4] => 101001
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [7,6,1,2,5,4,3] => 101101
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [7,6,1,3,2,4,5] => 110001
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [7,6,1,3,2,5,4] => 110101
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [7,6,1,4,2,3,5] => 110001
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [7,6,1,4,3,2,5] => 111001
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [7,6,1,5,2,3,4] => 110001
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [7,6,1,5,2,4,3] => 111001
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [7,6,1,5,3,2,4] => 111001
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [7,6,1,5,4,2,3] => 110101
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [7,6,1,5,4,3,2] => 111101
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [7,6,2,1,3,4,5] => 110001
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [7,6,2,1,3,5,4] => 110101
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [7,6,2,1,4,3,5] => 111001
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [7,6,2,1,5,3,4] => 111001
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [7,6,2,1,5,4,3] => 111101
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [7,6,3,1,2,4,5] => 101001
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [7,6,3,1,2,5,4] => 101101
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [7,6,3,2,1,4,5] => 111001
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [7,6,3,2,1,5,4] => 111101
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [7,6,4,1,2,3,5] => 100101
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [7,6,4,1,3,2,5] => 110101
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [7,6,4,2,1,3,5] => 110101
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [7,6,4,3,1,2,5] => 101101
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [7,6,4,3,2,1,5] => 111101
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [7,6,5,1,2,3,4] => 100011
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [7,6,5,1,2,4,3] => 101011
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [7,6,5,1,3,2,4] => 110011
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [7,6,5,1,4,2,3] => 110011
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [7,6,5,1,4,3,2] => 111011
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [7,6,5,2,1,3,4] => 110011
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [7,6,5,2,1,4,3] => 111011
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [7,6,5,3,1,2,4] => 101011
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [7,6,5,3,2,1,4] => 111011
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [7,6,5,4,1,2,3] => 100111
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [7,6,5,4,1,3,2] => 110111
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [7,6,5,4,2,1,3] => 110111
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [7,6,5,4,3,1,2] => 101111
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => 111111
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => 0000000
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,7] => 0000001
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,8] => 0000010
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [1,2,3,4,5,8,6,7] => 0000010
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [1,2,3,4,5,8,7,6] => 0000011
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [1,2,3,4,6,5,7,8] => 0000100
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [1,2,3,4,6,5,8,7] => 0000101
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [1,2,3,4,7,5,6,8] => 0000100
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [1,2,3,4,7,6,5,8] => 0000110
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [1,2,3,4,8,5,6,7] => 0000100
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [1,2,3,4,8,5,7,6] => 0000110
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [1,2,3,4,8,6,5,7] => 0000110
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [1,2,3,4,8,7,5,6] => 0000101
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [1,2,3,4,8,7,6,5] => 0000111
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [1,2,3,5,4,6,7,8] => 0001000
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [1,2,3,5,4,6,8,7] => 0001001
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [1,2,3,5,4,7,6,8] => 0001010
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [7,6,8,4,5,3,2,1] => [1,2,3,5,4,8,6,7] => 0001010
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [6,7,8,4,5,3,2,1] => [1,2,3,5,4,8,7,6] => 0001011
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [8,7,5,4,6,3,2,1] => [1,2,3,6,4,5,7,8] => 0001000
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [7,8,5,4,6,3,2,1] => [1,2,3,6,4,5,8,7] => 0001001
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [1,2,3,6,5,4,7,8] => 0001100
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [7,8,4,5,6,3,2,1] => [1,2,3,6,5,4,8,7] => 0001101
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [1,2,3,7,4,5,6,8] => 0001000
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [8,5,6,4,7,3,2,1] => [1,2,3,7,4,6,5,8] => 0001100
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [8,6,4,5,7,3,2,1] => [1,2,3,7,5,4,6,8] => 0001100
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [8,5,4,6,7,3,2,1] => [1,2,3,7,6,4,5,8] => 0001010
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [1,2,3,7,6,5,4,8] => 0001110
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [1,2,3,8,4,5,6,7] => 0001000
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [1,2,3,8,4,5,7,6] => 0001010
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [1,2,3,8,4,6,5,7] => 0001100
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [1,2,3,8,4,7,5,6] => 0001100
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [1,2,3,8,4,7,6,5] => 0001110
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [7,6,4,5,8,3,2,1] => [1,2,3,8,5,4,6,7] => 0001100
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [6,7,4,5,8,3,2,1] => [1,2,3,8,5,4,7,6] => 0001110
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [7,5,4,6,8,3,2,1] => [1,2,3,8,6,4,5,7] => 0001010
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [1,2,3,8,6,5,4,7] => 0001110
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [1,2,3,8,7,4,5,6] => 0001001
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [1,2,3,8,7,4,6,5] => 0001101
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [1,2,3,8,7,5,4,6] => 0001101
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [1,2,3,8,7,6,4,5] => 0001011
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [1,2,3,8,7,6,5,4] => 0001111
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [1,2,4,3,5,6,7,8] => 0010000
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [1,2,4,3,5,6,8,7] => 0010001
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [1,2,4,3,5,7,6,8] => 0010010
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [1,2,4,3,5,8,6,7] => 0010010
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [6,7,8,5,3,4,2,1] => [1,2,4,3,5,8,7,6] => 0010011
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [1,2,4,3,6,5,7,8] => 0010100
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [1,2,4,3,6,5,8,7] => 0010101
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [8,6,5,7,3,4,2,1] => [1,2,4,3,7,5,6,8] => 0010100
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [7,6,5,8,3,4,2,1] => [1,2,4,3,8,5,6,7] => 0010100
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [6,7,5,8,3,4,2,1] => [1,2,4,3,8,5,7,6] => 0010110
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [7,5,6,8,3,4,2,1] => [1,2,4,3,8,6,5,7] => 0010110
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [1,2,4,3,8,7,5,6] => 0010101
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [1,2,4,3,8,7,6,5] => 0010111
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [8,7,6,4,3,5,2,1] => [1,2,5,3,4,6,7,8] => 0010000
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [7,8,6,4,3,5,2,1] => [1,2,5,3,4,6,8,7] => 0010001
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [1,2,5,3,4,7,6,8] => 0010010
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [7,6,8,4,3,5,2,1] => [1,2,5,3,4,8,6,7] => 0010010
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [1,2,5,3,4,8,7,6] => 0010011
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [1,2,5,4,3,6,7,8] => 0011000
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [7,8,6,3,4,5,2,1] => [1,2,5,4,3,6,8,7] => 0011001
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [7,6,8,3,4,5,2,1] => [1,2,5,4,3,8,6,7] => 0011010
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [1,2,5,4,3,8,7,6] => 0011011
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [1,2,6,3,4,5,7,8] => 0010000
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [1,2,6,3,4,5,8,7] => 0010001
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [8,7,4,5,3,6,2,1] => [1,2,6,3,5,4,7,8] => 0011000
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [8,7,5,3,4,6,2,1] => [1,2,6,4,3,5,7,8] => 0011000
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [1,2,6,5,3,4,7,8] => 0010100
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [1,2,6,5,4,3,7,8] => 0011100
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [1,2,7,3,4,5,6,8] => 0010000
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [8,5,6,4,3,7,2,1] => [1,2,7,3,4,6,5,8] => 0010100
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [8,6,4,5,3,7,2,1] => [1,2,7,3,5,4,6,8] => 0011000
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [8,5,4,6,3,7,2,1] => [1,2,7,3,6,4,5,8] => 0011000
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [8,6,5,3,4,7,2,1] => [1,2,7,4,3,5,6,8] => 0011000
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [1,2,7,5,3,4,6,8] => 0010100
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [1,2,7,6,3,4,5,8] => 0010010
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [8,5,3,4,6,7,2,1] => [1,2,7,6,4,3,5,8] => 0011010
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [1,2,7,6,5,4,3,8] => 0011110
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [1,2,8,3,4,5,6,7] => 0010000
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [1,2,8,3,4,5,7,6] => 0010010
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [7,5,6,4,3,8,2,1] => [1,2,8,3,4,6,5,7] => 0010100
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [1,2,8,3,4,7,6,5] => 0010110
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [7,6,4,5,3,8,2,1] => [1,2,8,3,5,4,6,7] => 0011000
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [6,7,4,5,3,8,2,1] => [1,2,8,3,5,4,7,6] => 0011010
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [1,2,8,3,6,4,5,7] => 0011000
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [7,4,5,6,3,8,2,1] => [1,2,8,3,6,5,4,7] => 0011100
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [1,2,8,3,7,4,5,6] => 0011000
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [5,6,4,7,3,8,2,1] => [1,2,8,3,7,4,6,5] => 0011100
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [1,2,8,3,7,5,4,6] => 0011100
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [1,2,8,3,7,6,4,5] => 0011010
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [1,2,8,3,7,6,5,4] => 0011110
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [7,6,5,3,4,8,2,1] => [1,2,8,4,3,5,6,7] => 0011000
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [6,7,5,3,4,8,2,1] => [1,2,8,4,3,5,7,6] => 0011010
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [7,5,6,3,4,8,2,1] => [1,2,8,4,3,6,5,7] => 0011100
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [6,5,7,3,4,8,2,1] => [1,2,8,4,3,7,5,6] => 0011100
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [5,6,7,3,4,8,2,1] => [1,2,8,4,3,7,6,5] => 0011110
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [7,6,4,3,5,8,2,1] => [1,2,8,5,3,4,6,7] => 0010100
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [7,6,3,4,5,8,2,1] => [1,2,8,5,4,3,6,7] => 0011100
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [7,5,4,3,6,8,2,1] => [1,2,8,6,3,4,5,7] => 0010010
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [7,5,3,4,6,8,2,1] => [1,2,8,6,4,3,5,7] => 0011010
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [1,2,8,6,5,4,3,7] => 0011110
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [1,2,8,7,3,4,5,6] => 0010001
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [5,6,4,3,7,8,2,1] => [1,2,8,7,3,4,6,5] => 0010101
[.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [6,4,5,3,7,8,2,1] => [1,2,8,7,3,5,4,6] => 0011001
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [1,2,8,7,3,6,5,4] => 0011101
[.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [5,6,3,4,7,8,2,1] => [1,2,8,7,4,3,6,5] => 0011101
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [1,2,8,7,5,4,3,6] => 0011101
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [1,2,8,7,6,3,4,5] => 0010011
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [4,5,3,6,7,8,2,1] => [1,2,8,7,6,3,5,4] => 0011011
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [5,3,4,6,7,8,2,1] => [1,2,8,7,6,4,3,5] => 0011011
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [1,2,8,7,6,5,3,4] => 0010111
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [1,2,8,7,6,5,4,3] => 0011111
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,8] => 0100000
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [1,3,2,4,5,6,8,7] => 0100001
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [1,3,2,4,5,7,6,8] => 0100010
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [1,3,2,4,5,8,6,7] => 0100010
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,2,3,1] => [1,3,2,4,5,8,7,6] => 0100011
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [1,3,2,4,6,5,7,8] => 0100100
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,2,3,1] => [1,3,2,4,6,5,8,7] => 0100101
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,2,3,1] => [1,3,2,4,7,6,5,8] => 0100110
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,2,3,1] => [1,3,2,4,8,5,6,7] => 0100100
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [1,3,2,4,8,5,7,6] => 0100110
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,2,3,1] => [1,3,2,4,8,6,5,7] => 0100110
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [1,3,2,4,8,7,6,5] => 0100111
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [1,3,2,5,4,6,7,8] => 0101000
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [1,3,2,5,4,7,6,8] => 0101010
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,2,3,1] => [1,3,2,5,4,8,6,7] => 0101010
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,2,3,1] => [1,3,2,5,4,8,7,6] => 0101011
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [1,3,2,6,4,5,7,8] => 0101000
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,2,3,1] => [1,3,2,6,5,4,7,8] => 0101100
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [1,3,2,6,5,4,8,7] => 0101101
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [8,6,5,4,7,2,3,1] => [1,3,2,7,4,5,6,8] => 0101000
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [1,3,2,7,4,6,5,8] => 0101100
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,2,3,1] => [1,3,2,7,5,4,6,8] => 0101100
[.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [8,5,4,6,7,2,3,1] => [1,3,2,7,6,4,5,8] => 0101010
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [8,4,5,6,7,2,3,1] => [1,3,2,7,6,5,4,8] => 0101110
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,2,3,1] => [1,3,2,8,4,5,6,7] => 0101000
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [6,7,5,4,8,2,3,1] => [1,3,2,8,4,5,7,6] => 0101010
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [1,3,2,8,4,6,5,7] => 0101100
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [1,3,2,8,4,7,5,6] => 0101100
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,2,3,1] => [1,3,2,8,5,4,6,7] => 0101100
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,2,3,1] => [1,3,2,8,5,4,7,6] => 0101110
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,2,3,1] => [1,3,2,8,6,4,5,7] => 0101010
[.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [7,4,5,6,8,2,3,1] => [1,3,2,8,6,5,4,7] => 0101110
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,2,3,1] => [1,3,2,8,7,4,5,6] => 0101001
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,2,3,1] => [1,3,2,8,7,4,6,5] => 0101101
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [6,4,5,7,8,2,3,1] => [1,3,2,8,7,5,4,6] => 0101101
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,2,3,1] => [1,3,2,8,7,6,4,5] => 0101011
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [1,3,2,8,7,6,5,4] => 0101111
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [1,4,2,3,5,6,7,8] => 0100000
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,2,4,1] => [1,4,2,3,5,6,8,7] => 0100001
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,2,4,1] => [1,4,2,3,5,7,6,8] => 0100010
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [1,4,2,3,5,8,6,7] => 0100010
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [1,4,2,3,5,8,7,6] => 0100011
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [1,4,2,3,6,5,7,8] => 0100100
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,2,4,1] => [1,4,2,3,6,5,8,7] => 0100101
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [1,4,2,3,7,5,6,8] => 0100100
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [1,4,2,3,8,5,6,7] => 0100100
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [1,4,2,3,8,5,7,6] => 0100110
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,2,4,1] => [1,4,2,3,8,6,5,7] => 0100110
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,2,4,1] => [1,4,2,3,8,7,5,6] => 0100101
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [1,4,2,3,8,7,6,5] => 0100111
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [1,4,3,2,5,6,7,8] => 0110000
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,2,3,4,1] => [1,4,3,2,5,7,6,8] => 0110010
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,2,3,4,1] => [1,4,3,2,5,8,6,7] => 0110010
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [1,4,3,2,5,8,7,6] => 0110011
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [1,4,3,2,7,6,5,8] => 0110110
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,2,3,4,1] => [1,4,3,2,8,5,6,7] => 0110100
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [7,5,6,8,2,3,4,1] => [1,4,3,2,8,6,5,7] => 0110110
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [1,4,3,2,8,7,6,5] => 0110111
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [8,7,6,4,3,2,5,1] => [1,5,2,3,4,6,7,8] => 0100000
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [7,8,6,4,3,2,5,1] => [1,5,2,3,4,6,8,7] => 0100001
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [8,6,7,4,3,2,5,1] => [1,5,2,3,4,7,6,8] => 0100010
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [1,5,2,3,4,8,6,7] => 0100010
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [6,7,8,4,3,2,5,1] => [1,5,2,3,4,8,7,6] => 0100011
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [1,5,2,4,3,6,7,8] => 0110000
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [7,8,6,3,4,2,5,1] => [1,5,2,4,3,6,8,7] => 0110001
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [1,5,2,4,3,7,6,8] => 0110010
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [1,5,2,4,3,8,6,7] => 0110010
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [1,5,2,4,3,8,7,6] => 0110011
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,2,3,5,1] => [1,5,3,2,4,6,7,8] => 0110000
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,2,3,5,1] => [1,5,3,2,4,6,8,7] => 0110001
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,2,3,5,1] => [1,5,3,2,4,7,6,8] => 0110010
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,2,3,5,1] => [1,5,3,2,4,8,6,7] => 0110010
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [1,5,3,2,4,8,7,6] => 0110011
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [1,5,4,2,3,6,7,8] => 0101000
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [1,5,4,2,3,6,8,7] => 0101001
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [8,6,7,3,2,4,5,1] => [1,5,4,2,3,7,6,8] => 0101010
[.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [7,6,8,3,2,4,5,1] => [1,5,4,2,3,8,6,7] => 0101010
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [1,5,4,2,3,8,7,6] => 0101011
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [8,7,6,2,3,4,5,1] => [1,5,4,3,2,6,7,8] => 0111000
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [1,5,4,3,2,7,6,8] => 0111010
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [1,5,4,3,2,8,7,6] => 0111011
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [1,6,2,3,4,5,7,8] => 0100000
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [1,6,2,3,4,5,8,7] => 0100001
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [1,6,2,4,3,5,7,8] => 0110000
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [1,6,2,4,3,5,8,7] => 0110001
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [1,6,2,5,3,4,7,8] => 0110000
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [7,8,4,3,5,2,6,1] => [1,6,2,5,3,4,8,7] => 0110001
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [8,7,5,4,2,3,6,1] => [1,6,3,2,4,5,7,8] => 0110000
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [8,7,4,5,2,3,6,1] => [1,6,3,2,5,4,7,8] => 0111000
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [8,7,5,3,2,4,6,1] => [1,6,4,2,3,5,7,8] => 0101000
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [7,8,5,3,2,4,6,1] => [1,6,4,2,3,5,8,7] => 0101001
[.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [8,7,5,2,3,4,6,1] => [1,6,4,3,2,5,7,8] => 0111000
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [7,8,4,3,2,5,6,1] => [1,6,5,2,3,4,8,7] => 0100101
[.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [8,7,4,2,3,5,6,1] => [1,6,5,3,2,4,7,8] => 0110100
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [7,8,4,2,3,5,6,1] => [1,6,5,3,2,4,8,7] => 0110101
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [1,6,5,4,2,3,8,7] => 0101101
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [1,6,5,4,3,2,7,8] => 0111100
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [1,6,5,4,3,2,8,7] => 0111101
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [1,7,2,3,4,5,6,8] => 0100000
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [8,5,6,4,3,2,7,1] => [1,7,2,3,4,6,5,8] => 0100100
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [8,6,4,5,3,2,7,1] => [1,7,2,3,5,4,6,8] => 0101000
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [1,7,2,3,6,4,5,8] => 0101000
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [8,6,5,3,4,2,7,1] => [1,7,2,4,3,5,6,8] => 0110000
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [1,7,2,4,3,6,5,8] => 0110100
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [1,7,2,5,3,4,6,8] => 0110000
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [8,6,3,4,5,2,7,1] => [1,7,2,5,4,3,6,8] => 0111000
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [1,7,2,6,3,4,5,8] => 0110000
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [1,7,2,6,3,5,4,8] => 0111000
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [8,5,3,4,6,2,7,1] => [1,7,2,6,4,3,5,8] => 0111000
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [1,7,2,6,5,4,3,8] => 0111100
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,2,3,7,1] => [1,7,3,2,4,5,6,8] => 0110000
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [8,5,6,4,2,3,7,1] => [1,7,3,2,4,6,5,8] => 0110100
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [8,6,4,5,2,3,7,1] => [1,7,3,2,5,4,6,8] => 0111000
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [8,6,5,3,2,4,7,1] => [1,7,4,2,3,5,6,8] => 0101000
[.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [8,6,5,2,3,4,7,1] => [1,7,4,3,2,5,6,8] => 0111000
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [8,6,4,3,2,5,7,1] => [1,7,5,2,3,4,6,8] => 0100100
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [1,7,5,3,2,4,6,8] => 0110100
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [1,7,5,4,3,2,6,8] => 0111100
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [1,7,6,2,3,4,5,8] => 0100010
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [1,7,6,2,4,3,5,8] => 0110010
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [8,5,4,2,3,6,7,1] => [1,7,6,3,2,4,5,8] => 0110010
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [8,4,5,2,3,6,7,1] => [1,7,6,3,2,5,4,8] => 0111010
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [8,5,3,2,4,6,7,1] => [1,7,6,4,2,3,5,8] => 0101010
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [1,7,6,5,2,4,3,8] => 0110110
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [8,4,2,3,5,6,7,1] => [1,7,6,5,3,2,4,8] => 0110110
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [1,7,6,5,4,2,3,8] => 0101110
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [1,7,6,5,4,3,2,8] => 0111110
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [1,8,2,3,4,5,6,7] => 0100000
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [1,8,2,3,4,5,7,6] => 0100010
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [7,5,6,4,3,2,8,1] => [1,8,2,3,4,6,5,7] => 0100100
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [1,8,2,3,4,7,5,6] => 0100100
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [1,8,2,3,4,7,6,5] => 0100110
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [1,8,2,3,5,4,6,7] => 0101000
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [7,5,4,6,3,2,8,1] => [1,8,2,3,6,4,5,7] => 0101000
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [7,4,5,6,3,2,8,1] => [1,8,2,3,6,5,4,7] => 0101100
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [6,4,5,7,3,2,8,1] => [1,8,2,3,7,5,4,6] => 0101100
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [5,4,6,7,3,2,8,1] => [1,8,2,3,7,6,4,5] => 0101010
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [1,8,2,3,7,6,5,4] => 0101110
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [7,6,5,3,4,2,8,1] => [1,8,2,4,3,5,6,7] => 0110000
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [1,8,2,4,3,6,5,7] => 0110100
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [1,8,2,4,3,7,5,6] => 0110100
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [5,6,7,3,4,2,8,1] => [1,8,2,4,3,7,6,5] => 0110110
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [7,6,4,3,5,2,8,1] => [1,8,2,5,3,4,6,7] => 0110000
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [6,7,4,3,5,2,8,1] => [1,8,2,5,3,4,7,6] => 0110010
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [1,8,2,6,3,4,5,7] => 0110000
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [1,8,2,6,3,5,4,7] => 0111000
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [7,5,3,4,6,2,8,1] => [1,8,2,6,4,3,5,7] => 0111000
[.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [7,4,3,5,6,2,8,1] => [1,8,2,6,5,3,4,7] => 0110100
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [1,8,2,7,3,4,5,6] => 0110000
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [5,6,4,3,7,2,8,1] => [1,8,2,7,3,4,6,5] => 0110100
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [1,8,2,7,3,5,4,6] => 0111000
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [1,8,2,7,3,6,4,5] => 0111000
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [1,8,2,7,3,6,5,4] => 0111100
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [1,8,2,7,4,3,5,6] => 0111000
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [1,8,2,7,4,3,6,5] => 0111100
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [1,8,2,7,5,3,4,6] => 0110100
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [6,3,4,5,7,2,8,1] => [1,8,2,7,5,4,3,6] => 0111100
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [1,8,2,7,6,3,4,5] => 0110010
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [1,8,2,7,6,3,5,4] => 0111010
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [5,3,4,6,7,2,8,1] => [1,8,2,7,6,4,3,5] => 0111010
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [1,8,2,7,6,5,4,3] => 0111110
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [1,8,3,2,4,5,6,7] => 0110000
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [1,8,3,2,4,5,7,6] => 0110010
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,2,3,8,1] => [1,8,3,2,4,7,5,6] => 0110100
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [7,6,4,5,2,3,8,1] => [1,8,3,2,5,4,6,7] => 0111000
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [1,8,3,2,5,4,7,6] => 0111010
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,2,3,8,1] => [1,8,3,2,6,4,5,7] => 0111000
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [1,8,3,2,7,5,4,6] => 0111100
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [1,8,3,2,7,6,4,5] => 0111010
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [1,8,3,2,7,6,5,4] => 0111110
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [7,6,5,3,2,4,8,1] => [1,8,4,2,3,5,6,7] => 0101000
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [6,7,5,3,2,4,8,1] => [1,8,4,2,3,5,7,6] => 0101010
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [7,5,6,3,2,4,8,1] => [1,8,4,2,3,6,5,7] => 0101100
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [6,5,7,3,2,4,8,1] => [1,8,4,2,3,7,5,6] => 0101100
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [5,6,7,3,2,4,8,1] => [1,8,4,2,3,7,6,5] => 0101110
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [1,8,4,3,2,5,6,7] => 0111000
[.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [6,7,5,2,3,4,8,1] => [1,8,4,3,2,5,7,6] => 0111010
[.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [6,5,7,2,3,4,8,1] => [1,8,4,3,2,7,5,6] => 0111100
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [1,8,4,3,2,7,6,5] => 0111110
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [1,8,5,2,3,4,7,6] => 0100110
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [7,6,4,2,3,5,8,1] => [1,8,5,3,2,4,6,7] => 0110100
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [6,7,4,2,3,5,8,1] => [1,8,5,3,2,4,7,6] => 0110110
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [1,8,5,4,2,3,6,7] => 0101100
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [1,8,5,4,2,3,7,6] => 0101110
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [7,6,2,3,4,5,8,1] => [1,8,5,4,3,2,6,7] => 0111100
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [1,8,5,4,3,2,7,6] => 0111110
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [7,5,4,3,2,6,8,1] => [1,8,6,2,3,4,5,7] => 0100010
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [7,5,3,4,2,6,8,1] => [1,8,6,2,4,3,5,7] => 0110010
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [7,4,3,5,2,6,8,1] => [1,8,6,2,5,3,4,7] => 0110010
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [1,8,6,3,2,4,5,7] => 0110010
[.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [1,8,6,3,2,5,4,7] => 0111010
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [1,8,6,4,2,3,5,7] => 0101010
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [7,4,2,3,5,6,8,1] => [1,8,6,5,3,2,4,7] => 0110110
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [1,8,6,5,4,2,3,7] => 0101110
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [1,8,6,5,4,3,2,7] => 0111110
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [1,8,7,2,3,4,5,6] => 0100001
[.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [5,6,4,3,2,7,8,1] => [1,8,7,2,3,4,6,5] => 0100101
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [6,4,5,3,2,7,8,1] => [1,8,7,2,3,5,4,6] => 0101001
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [1,8,7,2,3,6,4,5] => 0101001
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [1,8,7,2,3,6,5,4] => 0101101
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [6,4,3,5,2,7,8,1] => [1,8,7,2,5,3,4,6] => 0110001
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [1,8,7,2,5,4,3,6] => 0111001
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [1,8,7,2,6,3,4,5] => 0110001
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [4,5,3,6,2,7,8,1] => [1,8,7,2,6,3,5,4] => 0111001
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [1,8,7,2,6,5,3,4] => 0110101
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [1,8,7,2,6,5,4,3] => 0111101
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [6,5,4,2,3,7,8,1] => [1,8,7,3,2,4,5,6] => 0110001
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [5,6,4,2,3,7,8,1] => [1,8,7,3,2,4,6,5] => 0110101
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [6,4,5,2,3,7,8,1] => [1,8,7,3,2,5,4,6] => 0111001
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [5,4,6,2,3,7,8,1] => [1,8,7,3,2,6,4,5] => 0111001
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [6,5,3,2,4,7,8,1] => [1,8,7,4,2,3,5,6] => 0101001
[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [5,6,3,2,4,7,8,1] => [1,8,7,4,2,3,6,5] => 0101101
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [6,5,2,3,4,7,8,1] => [1,8,7,4,3,2,5,6] => 0111001
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [5,6,2,3,4,7,8,1] => [1,8,7,4,3,2,6,5] => 0111101
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [6,4,3,2,5,7,8,1] => [1,8,7,5,2,3,4,6] => 0100101
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [6,4,2,3,5,7,8,1] => [1,8,7,5,3,2,4,6] => 0110101
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [1,8,7,5,4,3,2,6] => 0111101
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [1,8,7,6,2,3,4,5] => 0100011
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [1,8,7,6,2,4,3,5] => 0110011
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [1,8,7,6,2,5,4,3] => 0111011
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [5,4,2,3,6,7,8,1] => [1,8,7,6,3,2,4,5] => 0110011
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [4,5,2,3,6,7,8,1] => [1,8,7,6,3,2,5,4] => 0111011
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [5,3,2,4,6,7,8,1] => [1,8,7,6,4,2,3,5] => 0101011
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [1,8,7,6,4,3,2,5] => 0111011
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [1,8,7,6,5,2,3,4] => 0100111
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [1,8,7,6,5,2,4,3] => 0110111
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [1,8,7,6,5,3,2,4] => 0110111
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [1,8,7,6,5,4,2,3] => 0101111
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [1,8,7,6,5,4,3,2] => 0111111
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8] => 1000000
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [2,1,3,4,5,6,8,7] => 1000001
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [2,1,3,4,5,7,6,8] => 1000010
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,3,1,2] => [2,1,3,4,5,8,6,7] => 1000010
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [2,1,3,4,5,8,7,6] => 1000011
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [2,1,3,4,6,5,7,8] => 1000100
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [2,1,3,4,6,5,8,7] => 1000101
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [2,1,3,4,7,5,6,8] => 1000100
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,3,1,2] => [2,1,3,4,8,5,6,7] => 1000100
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,3,1,2] => [2,1,3,4,8,5,7,6] => 1000110
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,3,1,2] => [2,1,3,4,8,6,5,7] => 1000110
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [2,1,3,4,8,7,5,6] => 1000101
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [2,1,3,4,8,7,6,5] => 1000111
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [2,1,3,5,4,6,7,8] => 1001000
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [2,1,3,5,4,6,8,7] => 1001001
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,3,1,2] => [2,1,3,5,4,8,7,6] => 1001011
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [2,1,3,6,4,5,7,8] => 1001000
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [7,8,5,4,6,3,1,2] => [2,1,3,6,4,5,8,7] => 1001001
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,3,1,2] => [2,1,3,6,5,4,8,7] => 1001101
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,3,1,2] => [2,1,3,8,4,5,6,7] => 1001000
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [6,7,5,4,8,3,1,2] => [2,1,3,8,4,5,7,6] => 1001010
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,3,1,2] => [2,1,3,8,4,6,5,7] => 1001100
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,3,1,2] => [2,1,3,8,4,7,5,6] => 1001100
[[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [5,6,7,4,8,3,1,2] => [2,1,3,8,4,7,6,5] => 1001110
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,3,1,2] => [2,1,3,8,5,4,6,7] => 1001100
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,3,1,2] => [2,1,3,8,5,4,7,6] => 1001110
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,3,1,2] => [2,1,3,8,6,4,5,7] => 1001010
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [7,4,5,6,8,3,1,2] => [2,1,3,8,6,5,4,7] => 1001110
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,3,1,2] => [2,1,3,8,7,4,5,6] => 1001001
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,3,1,2] => [2,1,3,8,7,4,6,5] => 1001101
[[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [6,4,5,7,8,3,1,2] => [2,1,3,8,7,5,4,6] => 1001101
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,3,1,2] => [2,1,3,8,7,6,4,5] => 1001011
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [2,1,3,8,7,6,5,4] => 1001111
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [2,1,4,3,5,6,7,8] => 1010000
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [2,1,4,3,5,6,8,7] => 1010001
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,4,1,2] => [2,1,4,3,5,8,6,7] => 1010010
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [2,1,4,3,5,8,7,6] => 1010011
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [2,1,4,3,6,5,7,8] => 1010100
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7] => 1010101
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [2,1,4,3,8,5,6,7] => 1010100
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [2,1,4,3,8,5,7,6] => 1010110
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [2,1,4,3,8,6,5,7] => 1010110
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [2,1,4,3,8,7,5,6] => 1010101
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [2,1,4,3,8,7,6,5] => 1010111
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,3,5,1,2] => [2,1,5,3,4,6,7,8] => 1010000
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,3,5,1,2] => [2,1,5,3,4,6,8,7] => 1010001
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [2,1,5,4,3,6,7,8] => 1011000
[[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [7,8,6,3,4,5,1,2] => [2,1,5,4,3,6,8,7] => 1011001
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [2,1,5,4,3,7,6,8] => 1011010
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [6,7,8,3,4,5,1,2] => [2,1,5,4,3,8,7,6] => 1011011
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [2,1,6,3,4,5,8,7] => 1010001
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [2,1,6,3,5,4,8,7] => 1011001
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [8,7,5,3,4,6,1,2] => [2,1,6,4,3,5,7,8] => 1011000
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [2,1,6,4,3,5,8,7] => 1011001
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [2,1,6,5,3,4,8,7] => 1010101
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [2,1,6,5,4,3,8,7] => 1011101
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,3,7,1,2] => [2,1,7,3,4,5,6,8] => 1010000
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,3,7,1,2] => [2,1,7,3,6,4,5,8] => 1011000
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [8,5,4,3,6,7,1,2] => [2,1,7,6,3,4,5,8] => 1010010
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [2,1,7,6,5,3,4,8] => 1010110
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [2,1,7,6,5,4,3,8] => 1011110
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [2,1,8,3,4,5,6,7] => 1010000
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [2,1,8,3,4,7,5,6] => 1010100
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [5,6,7,4,3,8,1,2] => [2,1,8,3,4,7,6,5] => 1010110
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [2,1,8,3,5,4,7,6] => 1011010
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,3,8,1,2] => [2,1,8,3,6,4,5,7] => 1011000
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [2,1,8,3,7,4,5,6] => 1011000
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [2,1,8,3,7,4,6,5] => 1011100
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [6,4,5,7,3,8,1,2] => [2,1,8,3,7,5,4,6] => 1011100
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [5,4,6,7,3,8,1,2] => [2,1,8,3,7,6,4,5] => 1011010
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [4,5,6,7,3,8,1,2] => [2,1,8,3,7,6,5,4] => 1011110
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [6,7,5,3,4,8,1,2] => [2,1,8,4,3,5,7,6] => 1011010
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [7,5,6,3,4,8,1,2] => [2,1,8,4,3,6,5,7] => 1011100
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [6,5,7,3,4,8,1,2] => [2,1,8,4,3,7,5,6] => 1011100
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [5,6,7,3,4,8,1,2] => [2,1,8,4,3,7,6,5] => 1011110
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [7,6,4,3,5,8,1,2] => [2,1,8,5,3,4,6,7] => 1010100
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [6,7,4,3,5,8,1,2] => [2,1,8,5,3,4,7,6] => 1010110
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [7,6,3,4,5,8,1,2] => [2,1,8,5,4,3,6,7] => 1011100
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [6,7,3,4,5,8,1,2] => [2,1,8,5,4,3,7,6] => 1011110
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [7,4,5,3,6,8,1,2] => [2,1,8,6,3,5,4,7] => 1011010
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [7,5,3,4,6,8,1,2] => [2,1,8,6,4,3,5,7] => 1011010
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [2,1,8,6,5,4,3,7] => 1011110
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [2,1,8,7,3,4,5,6] => 1010001
[[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [5,6,4,3,7,8,1,2] => [2,1,8,7,3,4,6,5] => 1010101
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [6,4,5,3,7,8,1,2] => [2,1,8,7,3,5,4,6] => 1011001
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [2,1,8,7,3,6,4,5] => 1011001
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [4,5,6,3,7,8,1,2] => [2,1,8,7,3,6,5,4] => 1011101
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [6,5,3,4,7,8,1,2] => [2,1,8,7,4,3,5,6] => 1011001
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [2,1,8,7,4,3,6,5] => 1011101
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [2,1,8,7,5,3,4,6] => 1010101
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [2,1,8,7,5,4,3,6] => 1011101
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [2,1,8,7,6,3,4,5] => 1010011
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [2,1,8,7,6,3,5,4] => 1011011
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [5,3,4,6,7,8,1,2] => [2,1,8,7,6,4,3,5] => 1011011
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [2,1,8,7,6,5,3,4] => 1010111
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [2,1,8,7,6,5,4,3] => 1011111
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [3,1,2,4,5,6,7,8] => 1000000
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [3,1,2,4,5,6,8,7] => 1000001
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [8,6,7,5,4,2,1,3] => [3,1,2,4,5,7,6,8] => 1000010
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [3,1,2,4,5,8,6,7] => 1000010
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [3,1,2,4,6,5,8,7] => 1000101
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,2,1,3] => [3,1,2,4,7,5,6,8] => 1000100
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [3,1,2,4,8,5,6,7] => 1000100
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,2,1,3] => [3,1,2,4,8,5,7,6] => 1000110
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,2,1,3] => [3,1,2,4,8,6,5,7] => 1000110
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,2,1,3] => [3,1,2,4,8,7,5,6] => 1000101
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [3,1,2,4,8,7,6,5] => 1000111
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [7,8,6,4,5,2,1,3] => [3,1,2,5,4,6,8,7] => 1001001
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,2,1,3] => [3,1,2,5,4,7,6,8] => 1001010
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,2,1,3] => [3,1,2,6,4,5,8,7] => 1001001
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,2,1,3] => [3,1,2,7,4,5,6,8] => 1001000
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,2,1,3] => [3,1,2,7,5,4,6,8] => 1001100
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,2,1,3] => [3,1,2,7,6,4,5,8] => 1001010
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,2,1,3] => [3,1,2,8,4,5,6,7] => 1001000
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,2,1,3] => [3,1,2,8,4,5,7,6] => 1001010
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [3,1,2,8,4,7,5,6] => 1001100
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,2,1,3] => [3,1,2,8,5,4,7,6] => 1001110
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,2,1,3] => [3,1,2,8,6,4,5,7] => 1001010
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,2,1,3] => [3,1,2,8,6,5,4,7] => 1001110
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,2,1,3] => [3,1,2,8,7,4,5,6] => 1001001
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,2,1,3] => [3,1,2,8,7,4,6,5] => 1001101
[[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [6,4,5,7,8,2,1,3] => [3,1,2,8,7,5,4,6] => 1001101
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,2,1,3] => [3,1,2,8,7,6,4,5] => 1001011
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [3,1,2,8,7,6,5,4] => 1001111
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [3,2,1,4,5,6,7,8] => 1100000
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [3,2,1,4,5,6,8,7] => 1100001
[[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [8,6,7,5,4,1,2,3] => [3,2,1,4,5,7,6,8] => 1100010
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,1,2,3] => [3,2,1,4,5,8,6,7] => 1100010
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [3,2,1,4,5,8,7,6] => 1100011
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [3,2,1,4,7,6,5,8] => 1100110
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,1,2,3] => [3,2,1,4,8,5,6,7] => 1100100
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,1,2,3] => [3,2,1,4,8,5,7,6] => 1100110
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,1,2,3] => [3,2,1,4,8,6,5,7] => 1100110
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,1,2,3] => [3,2,1,4,8,7,5,6] => 1100101
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [3,2,1,4,8,7,6,5] => 1100111
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => [3,2,1,5,4,6,7,8] => 1101000
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [3,2,1,5,4,7,6,8] => 1101010
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,1,2,3] => [3,2,1,6,4,5,7,8] => 1101000
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [3,2,1,6,5,4,7,8] => 1101100
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [3,2,1,6,5,4,8,7] => 1101101
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,1,2,3] => [3,2,1,7,4,5,6,8] => 1101000
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [8,5,6,4,7,1,2,3] => [3,2,1,7,4,6,5,8] => 1101100
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,1,2,3] => [3,2,1,7,5,4,6,8] => 1101100
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,1,2,3] => [3,2,1,7,6,4,5,8] => 1101010
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [3,2,1,7,6,5,4,8] => 1101110
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [3,2,1,8,4,5,6,7] => 1101000
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,1,2,3] => [3,2,1,8,4,5,7,6] => 1101010
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,1,2,3] => [3,2,1,8,4,6,5,7] => 1101100
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,1,2,3] => [3,2,1,8,4,7,5,6] => 1101100
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,1,2,3] => [3,2,1,8,4,7,6,5] => 1101110
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,1,2,3] => [3,2,1,8,5,4,6,7] => 1101100
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [3,2,1,8,5,4,7,6] => 1101110
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [3,2,1,8,6,4,5,7] => 1101010
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [7,4,5,6,8,1,2,3] => [3,2,1,8,6,5,4,7] => 1101110
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [3,2,1,8,7,4,5,6] => 1101001
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,1,2,3] => [3,2,1,8,7,4,6,5] => 1101101
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [6,4,5,7,8,1,2,3] => [3,2,1,8,7,5,4,6] => 1101101
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [3,2,1,8,7,6,4,5] => 1101011
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [3,2,1,8,7,6,5,4] => 1101111
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [4,1,2,3,5,6,7,8] => 1000000
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,2,1,4] => [4,1,2,3,5,6,8,7] => 1000001
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [4,1,2,3,5,7,6,8] => 1000010
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,2,1,4] => [4,1,2,3,5,8,6,7] => 1000010
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,2,1,4] => [4,1,2,3,5,8,7,6] => 1000011
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,2,1,4] => [4,1,2,3,6,5,7,8] => 1000100
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [4,1,2,3,6,5,8,7] => 1000101
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [4,1,2,3,7,5,6,8] => 1000100
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [4,1,2,3,7,6,5,8] => 1000110
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [4,1,2,3,8,5,6,7] => 1000100
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [4,1,2,3,8,5,7,6] => 1000110
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,2,1,4] => [4,1,2,3,8,6,5,7] => 1000110
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [4,1,2,3,8,7,5,6] => 1000101
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [4,1,2,3,8,7,6,5] => 1000111
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [4,1,3,2,5,6,7,8] => 1100000
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [4,1,3,2,5,7,6,8] => 1100010
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [4,1,3,2,6,5,8,7] => 1100101
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [4,1,3,2,8,5,6,7] => 1100100
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [4,1,3,2,8,5,7,6] => 1100110
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [4,1,3,2,8,6,5,7] => 1100110
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [6,5,7,8,2,3,1,4] => [4,1,3,2,8,7,5,6] => 1100101
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [4,1,3,2,8,7,6,5] => 1100111
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [4,2,1,3,5,6,7,8] => 1100000
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,1,2,4] => [4,2,1,3,5,6,8,7] => 1100001
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,1,2,4] => [4,2,1,3,5,7,6,8] => 1100010
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,1,2,4] => [4,2,1,3,5,8,6,7] => 1100010
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,1,2,4] => [4,2,1,3,5,8,7,6] => 1100011
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [4,2,1,3,6,5,7,8] => 1100100
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [4,2,1,3,6,5,8,7] => 1100101
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,1,2,4] => [4,2,1,3,7,5,6,8] => 1100100
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,1,2,4] => [4,2,1,3,7,6,5,8] => 1100110
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,1,2,4] => [4,2,1,3,8,5,6,7] => 1100100
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [4,2,1,3,8,5,7,6] => 1100110
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [4,2,1,3,8,6,5,7] => 1100110
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [4,2,1,3,8,7,5,6] => 1100101
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [4,2,1,3,8,7,6,5] => 1100111
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [4,3,1,2,5,6,7,8] => 1010000
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [4,3,1,2,5,6,8,7] => 1010001
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,1,3,4] => [4,3,1,2,5,7,6,8] => 1010010
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [4,3,1,2,5,8,7,6] => 1010011
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,1,3,4] => [4,3,1,2,6,5,7,8] => 1010100
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [4,3,1,2,6,5,8,7] => 1010101
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,1,3,4] => [4,3,1,2,8,5,6,7] => 1010100
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [4,3,1,2,8,5,7,6] => 1010110
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [7,5,6,8,2,1,3,4] => [4,3,1,2,8,6,5,7] => 1010110
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [4,3,1,2,8,7,5,6] => 1010101
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [4,3,1,2,8,7,6,5] => 1010111
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [4,3,2,1,5,6,7,8] => 1110000
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [4,3,2,1,5,6,8,7] => 1110001
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [4,3,2,1,5,7,6,8] => 1110010
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [4,3,2,1,5,8,6,7] => 1110010
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [4,3,2,1,5,8,7,6] => 1110011
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [4,3,2,1,6,5,7,8] => 1110100
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [4,3,2,1,6,5,8,7] => 1110101
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [4,3,2,1,7,5,6,8] => 1110100
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [4,3,2,1,7,6,5,8] => 1110110
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [4,3,2,1,8,5,6,7] => 1110100
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [4,3,2,1,8,5,7,6] => 1110110
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [4,3,2,1,8,6,5,7] => 1110110
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [4,3,2,1,8,7,5,6] => 1110101
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [4,3,2,1,8,7,6,5] => 1110111
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [5,1,2,3,4,6,7,8] => 1000000
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [5,1,2,3,4,6,8,7] => 1000001
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [5,1,2,3,4,8,6,7] => 1000010
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [5,1,2,3,4,8,7,6] => 1000011
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [5,1,2,4,3,6,7,8] => 1010000
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [7,8,6,3,4,2,1,5] => [5,1,2,4,3,6,8,7] => 1010001
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [8,6,7,3,4,2,1,5] => [5,1,2,4,3,7,6,8] => 1010010
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [6,7,8,3,4,2,1,5] => [5,1,2,4,3,8,7,6] => 1010011
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [5,1,3,2,4,6,7,8] => 1100000
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [7,8,6,4,2,3,1,5] => [5,1,3,2,4,6,8,7] => 1100001
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [8,6,7,4,2,3,1,5] => [5,1,3,2,4,7,6,8] => 1100010
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,2,3,1,5] => [5,1,3,2,4,8,6,7] => 1100010
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [5,1,3,2,4,8,7,6] => 1100011
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [5,1,4,2,3,6,7,8] => 1100000
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [7,6,8,3,2,4,1,5] => [5,1,4,2,3,8,6,7] => 1100010
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [6,7,8,3,2,4,1,5] => [5,1,4,2,3,8,7,6] => 1100011
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [5,1,4,3,2,6,7,8] => 1110000
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [7,8,6,2,3,4,1,5] => [5,1,4,3,2,6,8,7] => 1110001
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [6,7,8,2,3,4,1,5] => [5,1,4,3,2,8,7,6] => 1110011
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [5,2,1,3,4,6,7,8] => 1100000
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [5,2,1,3,4,8,7,6] => 1100011
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [5,2,1,4,3,6,7,8] => 1110000
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [7,8,6,3,4,1,2,5] => [5,2,1,4,3,6,8,7] => 1110001
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [8,6,7,3,4,1,2,5] => [5,2,1,4,3,7,6,8] => 1110010
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [7,6,8,3,4,1,2,5] => [5,2,1,4,3,8,6,7] => 1110010
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [6,7,8,3,4,1,2,5] => [5,2,1,4,3,8,7,6] => 1110011
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [5,3,1,2,4,6,7,8] => 1010000
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,2,1,3,5] => [5,3,1,2,4,6,8,7] => 1010001
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [5,3,1,2,4,7,6,8] => 1010010
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,2,1,3,5] => [5,3,1,2,4,8,6,7] => 1010010
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [6,7,8,4,2,1,3,5] => [5,3,1,2,4,8,7,6] => 1010011
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [5,3,2,1,4,6,7,8] => 1110000
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [5,3,2,1,4,6,8,7] => 1110001
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,1,2,3,5] => [5,3,2,1,4,7,6,8] => 1110010
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,1,2,3,5] => [5,3,2,1,4,8,6,7] => 1110010
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [5,3,2,1,4,8,7,6] => 1110011
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [5,4,1,2,3,6,7,8] => 1001000
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [7,6,8,3,2,1,4,5] => [5,4,1,2,3,8,6,7] => 1001010
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [5,4,1,2,3,8,7,6] => 1001011
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [5,4,1,3,2,6,7,8] => 1101000
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [7,6,8,2,3,1,4,5] => [5,4,1,3,2,8,6,7] => 1101010
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [5,4,1,3,2,8,7,6] => 1101011
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [5,4,2,1,3,6,7,8] => 1101000
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [6,7,8,3,1,2,4,5] => [5,4,2,1,3,8,7,6] => 1101011
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [5,4,3,1,2,6,7,8] => 1011000
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [5,4,3,1,2,7,6,8] => 1011010
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [7,6,8,2,1,3,4,5] => [5,4,3,1,2,8,6,7] => 1011010
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,3,1,2,8,7,6] => 1011011
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [5,4,3,2,1,6,7,8] => 1111000
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [5,4,3,2,1,6,8,7] => 1111001
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [5,4,3,2,1,7,6,8] => 1111010
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [5,4,3,2,1,8,6,7] => 1111010
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [5,4,3,2,1,8,7,6] => 1111011
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [6,1,2,3,4,5,7,8] => 1000000
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [6,1,2,3,4,5,8,7] => 1000001
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [8,7,4,5,3,2,1,6] => [6,1,2,3,5,4,7,8] => 1001000
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [6,1,2,4,3,5,7,8] => 1010000
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [7,8,5,3,4,2,1,6] => [6,1,2,4,3,5,8,7] => 1010001
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [8,7,4,3,5,2,1,6] => [6,1,2,5,3,4,7,8] => 1010000
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [7,8,3,4,5,2,1,6] => [6,1,2,5,4,3,8,7] => 1011001
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [7,8,5,4,2,3,1,6] => [6,1,3,2,4,5,8,7] => 1100001
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [7,8,4,5,2,3,1,6] => [6,1,3,2,5,4,8,7] => 1101001
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [6,1,4,2,3,5,7,8] => 1100000
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [7,8,5,3,2,4,1,6] => [6,1,4,2,3,5,8,7] => 1100001
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [8,7,4,3,2,5,1,6] => [6,1,5,2,3,4,7,8] => 1100000
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [7,8,4,3,2,5,1,6] => [6,1,5,2,3,4,8,7] => 1100001
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [6,1,5,2,4,3,8,7] => 1110001
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [7,8,3,2,4,5,1,6] => [6,1,5,4,2,3,8,7] => 1101001
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [7,8,2,3,4,5,1,6] => [6,1,5,4,3,2,8,7] => 1111001
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [6,2,1,3,4,5,7,8] => 1100000
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [8,7,5,3,4,1,2,6] => [6,2,1,4,3,5,7,8] => 1110000
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [7,8,5,3,4,1,2,6] => [6,2,1,4,3,5,8,7] => 1110001
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [7,8,4,3,5,1,2,6] => [6,2,1,5,3,4,8,7] => 1110001
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [6,2,1,5,4,3,7,8] => 1111000
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [7,8,3,4,5,1,2,6] => [6,2,1,5,4,3,8,7] => 1111001
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,2,1,3,6] => [6,3,1,2,4,5,7,8] => 1010000
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [6,3,1,2,4,5,8,7] => 1010001
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [7,8,4,5,2,1,3,6] => [6,3,1,2,5,4,8,7] => 1011001
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,1,2,3,6] => [6,3,2,1,4,5,7,8] => 1110000
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [6,3,2,1,4,5,8,7] => 1110001
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [8,7,4,5,1,2,3,6] => [6,3,2,1,5,4,7,8] => 1111000
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [6,3,2,1,5,4,8,7] => 1111001
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [6,4,1,2,3,5,7,8] => 1001000
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [8,7,5,2,3,1,4,6] => [6,4,1,3,2,5,7,8] => 1101000
[[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [7,8,5,2,3,1,4,6] => [6,4,1,3,2,5,8,7] => 1101001
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [6,4,2,1,3,5,7,8] => 1101000
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [7,8,5,3,1,2,4,6] => [6,4,2,1,3,5,8,7] => 1101001
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [6,4,3,1,2,5,7,8] => 1011000
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [6,4,3,1,2,5,8,7] => 1011001
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [6,4,3,2,1,5,7,8] => 1111000
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [6,4,3,2,1,5,8,7] => 1111001
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [6,5,1,2,3,4,8,7] => 1000101
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [7,8,3,4,2,1,5,6] => [6,5,1,2,4,3,8,7] => 1010101
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [6,5,1,4,2,3,8,7] => 1100101
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [8,7,2,3,4,1,5,6] => [6,5,1,4,3,2,7,8] => 1110100
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [6,5,1,4,3,2,8,7] => 1110101
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [7,8,4,3,1,2,5,6] => [6,5,2,1,3,4,8,7] => 1100101
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [6,5,2,1,4,3,8,7] => 1110101
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [6,5,3,1,2,4,8,7] => 1010101
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [6,5,3,2,1,4,7,8] => 1110100
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [7,8,4,1,2,3,5,6] => [6,5,3,2,1,4,8,7] => 1110101
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [6,5,4,1,2,3,7,8] => 1001100
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [6,5,4,1,2,3,8,7] => 1001101
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [6,5,4,1,3,2,8,7] => 1101101
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [8,7,3,1,2,4,5,6] => [6,5,4,2,1,3,7,8] => 1101100
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [7,8,3,1,2,4,5,6] => [6,5,4,2,1,3,8,7] => 1101101
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [6,5,4,3,1,2,7,8] => 1011100
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [6,5,4,3,1,2,8,7] => 1011101
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [6,5,4,3,2,1,7,8] => 1111100
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [6,5,4,3,2,1,8,7] => 1111101
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,8] => 1000000
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [7,1,2,3,4,6,5,8] => 1000100
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [8,6,4,5,3,2,1,7] => [7,1,2,3,5,4,6,8] => 1001000
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [8,5,4,6,3,2,1,7] => [7,1,2,3,6,4,5,8] => 1001000
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [7,1,2,3,6,5,4,8] => 1001100
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [8,6,5,3,4,2,1,7] => [7,1,2,4,3,5,6,8] => 1010000
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [8,6,4,3,5,2,1,7] => [7,1,2,5,3,4,6,8] => 1010000
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [8,5,4,3,6,2,1,7] => [7,1,2,6,3,4,5,8] => 1010000
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [8,4,5,3,6,2,1,7] => [7,1,2,6,3,5,4,8] => 1011000
[[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [8,5,3,4,6,2,1,7] => [7,1,2,6,4,3,5,8] => 1011000
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [7,1,2,6,5,3,4,8] => 1010100
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [8,3,4,5,6,2,1,7] => [7,1,2,6,5,4,3,8] => 1011100
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [7,1,3,2,4,5,6,8] => 1100000
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,2,3,1,7] => [7,1,3,2,5,4,6,8] => 1101000
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [7,1,4,2,3,5,6,8] => 1100000
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [8,6,5,2,3,4,1,7] => [7,1,4,3,2,5,6,8] => 1110000
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [8,6,3,4,2,5,1,7] => [7,1,5,2,4,3,6,8] => 1110000
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [8,6,4,2,3,5,1,7] => [7,1,5,3,2,4,6,8] => 1110000
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [8,6,3,2,4,5,1,7] => [7,1,5,4,2,3,6,8] => 1101000
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [7,1,6,2,3,4,5,8] => 1100000
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [7,1,6,2,5,3,4,8] => 1110000
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [8,3,4,5,2,6,1,7] => [7,1,6,2,5,4,3,8] => 1111000
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [7,1,6,3,2,5,4,8] => 1111000
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [7,1,6,4,2,3,5,8] => 1101000
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [8,3,4,2,5,6,1,7] => [7,1,6,5,2,4,3,8] => 1110100
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [8,4,2,3,5,6,1,7] => [7,1,6,5,3,2,4,8] => 1110100
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [7,1,6,5,4,2,3,8] => 1101100
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [7,1,6,5,4,3,2,8] => 1111100
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [7,2,1,3,4,5,6,8] => 1100000
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,3,1,2,7] => [7,2,1,3,5,4,6,8] => 1101000
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [7,2,1,4,3,5,6,8] => 1110000
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [7,2,1,4,3,6,5,8] => 1110100
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [8,6,3,4,5,1,2,7] => [7,2,1,5,4,3,6,8] => 1111000
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [8,4,5,3,6,1,2,7] => [7,2,1,6,3,5,4,8] => 1111000
[[[.,.],[[[.,[.,.]],.],.]],[.,.]] => [8,4,3,5,6,1,2,7] => [7,2,1,6,5,3,4,8] => 1110100
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [7,2,1,6,5,4,3,8] => 1111100
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [7,3,1,2,4,5,6,8] => 1010000
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,2,1,3,7] => [7,3,1,2,4,6,5,8] => 1010100
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,2,1,3,7] => [7,3,1,2,5,4,6,8] => 1011000
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [7,3,2,1,4,5,6,8] => 1110000
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [7,3,2,1,4,6,5,8] => 1110100
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [7,3,2,1,5,4,6,8] => 1111000
[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [8,5,4,6,1,2,3,7] => [7,3,2,1,6,4,5,8] => 1111000
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [7,4,1,2,3,5,6,8] => 1001000
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [7,4,1,3,2,5,6,8] => 1101000
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [7,4,1,3,2,6,5,8] => 1101100
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [7,4,3,1,2,5,6,8] => 1011000
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [7,4,3,1,2,6,5,8] => 1011100
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [7,4,3,2,1,5,6,8] => 1111000
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [7,4,3,2,1,6,5,8] => 1111100
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [7,5,1,2,3,4,6,8] => 1000100
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [7,5,1,2,4,3,6,8] => 1010100
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [8,6,4,2,3,1,5,7] => [7,5,1,3,2,4,6,8] => 1100100
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [7,5,1,4,2,3,6,8] => 1100100
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [7,5,3,1,2,4,6,8] => 1010100
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [7,5,3,2,1,4,6,8] => 1110100
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [8,6,2,3,1,4,5,7] => [7,5,4,1,3,2,6,8] => 1101100
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [8,6,2,1,3,4,5,7] => [7,5,4,3,1,2,6,8] => 1011100
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [7,5,4,3,2,1,6,8] => 1111100
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [7,6,1,2,3,4,5,8] => 1000010
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [8,4,5,3,2,1,6,7] => [7,6,1,2,3,5,4,8] => 1001010
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [7,6,1,2,5,4,3,8] => 1011010
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [8,5,3,2,4,1,6,7] => [7,6,1,4,2,3,5,8] => 1100010
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [8,5,2,3,4,1,6,7] => [7,6,1,4,3,2,5,8] => 1110010
[[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [8,3,4,2,5,1,6,7] => [7,6,1,5,2,4,3,8] => 1110010
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [8,3,4,5,1,2,6,7] => [7,6,2,1,5,4,3,8] => 1111010
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [8,4,5,2,1,3,6,7] => [7,6,3,1,2,5,4,8] => 1011010
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [7,6,3,2,1,4,5,8] => 1110010
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [8,4,5,1,2,3,6,7] => [7,6,3,2,1,5,4,8] => 1111010
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [7,6,4,2,1,3,5,8] => 1101010
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [7,6,4,3,1,2,5,8] => 1011010
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [7,6,4,3,2,1,5,8] => 1111010
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [7,6,5,1,2,3,4,8] => 1000110
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [7,6,5,1,2,4,3,8] => 1010110
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [7,6,5,1,3,2,4,8] => 1100110
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [8,3,2,4,1,5,6,7] => [7,6,5,1,4,2,3,8] => 1100110
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [7,6,5,1,4,3,2,8] => 1110110
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [8,4,3,1,2,5,6,7] => [7,6,5,2,1,3,4,8] => 1100110
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [7,6,5,2,1,4,3,8] => 1110110
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [7,6,5,3,2,1,4,8] => 1110110
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [7,6,5,4,1,2,3,8] => 1001110
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [7,6,5,4,1,3,2,8] => 1101110
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [7,6,5,4,2,1,3,8] => 1101110
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [7,6,5,4,3,1,2,8] => 1011110
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,8] => 1111110
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7] => 1000000
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [8,1,2,3,4,5,7,6] => 1000010
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [8,1,2,3,4,6,5,7] => 1000100
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [8,1,2,3,4,7,5,6] => 1000100
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [8,1,2,3,4,7,6,5] => 1000110
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [8,1,2,3,5,4,6,7] => 1001000
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [6,7,4,5,3,2,1,8] => [8,1,2,3,5,4,7,6] => 1001010
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [7,5,4,6,3,2,1,8] => [8,1,2,3,6,4,5,7] => 1001000
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [7,4,5,6,3,2,1,8] => [8,1,2,3,6,5,4,7] => 1001100
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [8,1,2,3,7,4,5,6] => 1001000
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [6,4,5,7,3,2,1,8] => [8,1,2,3,7,5,4,6] => 1001100
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [8,1,2,3,7,6,5,4] => 1001110
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [8,1,2,4,3,5,6,7] => 1010000
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [6,7,5,3,4,2,1,8] => [8,1,2,4,3,5,7,6] => 1010010
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [8,1,2,4,3,6,5,7] => 1010100
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [8,1,2,4,3,7,6,5] => 1010110
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [8,1,2,5,3,4,6,7] => 1010000
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.] => [6,7,4,3,5,2,1,8] => [8,1,2,5,3,4,7,6] => 1010010
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [8,1,2,5,4,3,6,7] => 1011000
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [8,1,2,6,3,4,5,7] => 1010000
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [7,4,3,5,6,2,1,8] => [8,1,2,6,5,3,4,7] => 1010100
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [7,3,4,5,6,2,1,8] => [8,1,2,6,5,4,3,7] => 1011100
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [8,1,2,7,3,4,5,6] => 1010000
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [8,1,2,7,3,4,6,5] => 1010100
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [6,4,5,3,7,2,1,8] => [8,1,2,7,3,5,4,6] => 1011000
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [8,1,2,7,3,6,4,5] => 1011000
[[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [4,5,6,3,7,2,1,8] => [8,1,2,7,3,6,5,4] => 1011100
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [5,6,3,4,7,2,1,8] => [8,1,2,7,4,3,6,5] => 1011100
[[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [6,3,4,5,7,2,1,8] => [8,1,2,7,5,4,3,6] => 1011100
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [8,1,2,7,6,3,4,5] => 1010010
[[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [4,5,3,6,7,2,1,8] => [8,1,2,7,6,3,5,4] => 1011010
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [8,1,2,7,6,5,4,3] => 1011110
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [8,1,3,2,4,5,6,7] => 1100000
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [8,1,3,2,4,5,7,6] => 1100010
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [8,1,3,2,4,6,5,7] => 1100100
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [8,1,3,2,4,7,6,5] => 1100110
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [8,1,3,2,5,4,6,7] => 1101000
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [8,1,3,2,5,4,7,6] => 1101010
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [7,4,5,6,2,3,1,8] => [8,1,3,2,6,5,4,7] => 1101100
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [8,1,3,2,7,4,6,5] => 1101100
[[.,[[.,.],[[[.,.],[.,.]],.]]],.] => [6,4,5,7,2,3,1,8] => [8,1,3,2,7,5,4,6] => 1101100
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [5,4,6,7,2,3,1,8] => [8,1,3,2,7,6,4,5] => 1101010
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [4,5,6,7,2,3,1,8] => [8,1,3,2,7,6,5,4] => 1101110
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [7,6,5,3,2,4,1,8] => [8,1,4,2,3,5,6,7] => 1100000
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [6,7,5,3,2,4,1,8] => [8,1,4,2,3,5,7,6] => 1100010
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [7,5,6,3,2,4,1,8] => [8,1,4,2,3,6,5,7] => 1100100
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [8,1,4,2,3,7,5,6] => 1100100
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [8,1,4,2,3,7,6,5] => 1100110
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [8,1,4,3,2,5,6,7] => 1110000
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [8,1,4,3,2,5,7,6] => 1110010
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [8,1,4,3,2,6,5,7] => 1110100
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [8,1,4,3,2,7,5,6] => 1110100
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [8,1,4,3,2,7,6,5] => 1110110
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [7,6,4,3,2,5,1,8] => [8,1,5,2,3,4,6,7] => 1100000
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [6,7,3,4,2,5,1,8] => [8,1,5,2,4,3,7,6] => 1110010
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [8,1,5,3,2,4,6,7] => 1110000
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [6,7,4,2,3,5,1,8] => [8,1,5,3,2,4,7,6] => 1110010
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [8,1,5,4,2,3,6,7] => 1101000
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [7,6,2,3,4,5,1,8] => [8,1,5,4,3,2,6,7] => 1111000
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [6,7,2,3,4,5,1,8] => [8,1,5,4,3,2,7,6] => 1111010
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [8,1,6,2,3,4,5,7] => 1100000
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [7,4,5,3,2,6,1,8] => [8,1,6,2,3,5,4,7] => 1101000
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [7,5,3,4,2,6,1,8] => [8,1,6,2,4,3,5,7] => 1110000
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [7,5,4,2,3,6,1,8] => [8,1,6,3,2,4,5,7] => 1110000
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [7,4,5,2,3,6,1,8] => [8,1,6,3,2,5,4,7] => 1111000
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [8,1,6,4,2,3,5,7] => 1101000
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [7,4,3,2,5,6,1,8] => [8,1,6,5,2,3,4,7] => 1100100
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [8,1,6,5,4,3,2,7] => 1111100
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [8,1,7,2,3,4,5,6] => 1100000
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [8,1,7,2,3,6,4,5] => 1101000
[[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [4,5,6,3,2,7,1,8] => [8,1,7,2,3,6,5,4] => 1101100
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [6,5,3,4,2,7,1,8] => [8,1,7,2,4,3,5,6] => 1110000
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [8,1,7,2,4,3,6,5] => 1110100
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [6,4,3,5,2,7,1,8] => [8,1,7,2,5,3,4,6] => 1110000
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [8,1,7,2,5,4,3,6] => 1111000
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [8,1,7,2,6,3,4,5] => 1110000
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [8,1,7,2,6,3,5,4] => 1111000
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [8,1,7,2,6,4,3,5] => 1111000
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [8,1,7,2,6,5,4,3] => 1111100
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [6,5,4,2,3,7,1,8] => [8,1,7,3,2,4,5,6] => 1110000
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [6,4,5,2,3,7,1,8] => [8,1,7,3,2,5,4,6] => 1111000
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [5,4,6,2,3,7,1,8] => [8,1,7,3,2,6,4,5] => 1111000
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [4,5,6,2,3,7,1,8] => [8,1,7,3,2,6,5,4] => 1111100
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [8,1,7,4,2,3,5,6] => 1101000
[[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [5,6,3,2,4,7,1,8] => [8,1,7,4,2,3,6,5] => 1101100
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [5,6,2,3,4,7,1,8] => [8,1,7,4,3,2,6,5] => 1111100
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [6,3,4,2,5,7,1,8] => [8,1,7,5,2,4,3,6] => 1110100
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [8,1,7,5,3,2,4,6] => 1110100
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [6,3,2,4,5,7,1,8] => [8,1,7,5,4,2,3,6] => 1101100
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [6,2,3,4,5,7,1,8] => [8,1,7,5,4,3,2,6] => 1111100
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [8,1,7,6,2,3,4,5] => 1100010
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [5,3,4,2,6,7,1,8] => [8,1,7,6,2,4,3,5] => 1110010
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [8,1,7,6,2,5,4,3] => 1111010
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [5,4,2,3,6,7,1,8] => [8,1,7,6,3,2,4,5] => 1110010
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [5,3,2,4,6,7,1,8] => [8,1,7,6,4,2,3,5] => 1101010
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [5,2,3,4,6,7,1,8] => [8,1,7,6,4,3,2,5] => 1111010
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [8,1,7,6,5,2,3,4] => 1100110
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [8,1,7,6,5,2,4,3] => 1110110
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [4,2,3,5,6,7,1,8] => [8,1,7,6,5,3,2,4] => 1110110
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [8,1,7,6,5,4,2,3] => 1101110
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [8,1,7,6,5,4,3,2] => 1111110
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [8,2,1,3,4,5,6,7] => 1100000
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [8,2,1,3,4,5,7,6] => 1100010
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [8,2,1,3,4,6,5,7] => 1100100
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [6,5,7,4,3,1,2,8] => [8,2,1,3,4,7,5,6] => 1100100
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [7,5,4,6,3,1,2,8] => [8,2,1,3,6,4,5,7] => 1101000
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [7,4,5,6,3,1,2,8] => [8,2,1,3,6,5,4,7] => 1101100
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [5,6,4,7,3,1,2,8] => [8,2,1,3,7,4,6,5] => 1101100
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [5,4,6,7,3,1,2,8] => [8,2,1,3,7,6,4,5] => 1101010
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [8,2,1,3,7,6,5,4] => 1101110
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [6,7,5,3,4,1,2,8] => [8,2,1,4,3,5,7,6] => 1110010
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [7,5,6,3,4,1,2,8] => [8,2,1,4,3,6,5,7] => 1110100
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [6,5,7,3,4,1,2,8] => [8,2,1,4,3,7,5,6] => 1110100
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [5,6,7,3,4,1,2,8] => [8,2,1,4,3,7,6,5] => 1110110
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [6,7,3,4,5,1,2,8] => [8,2,1,5,4,3,7,6] => 1111010
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [7,5,4,3,6,1,2,8] => [8,2,1,6,3,4,5,7] => 1110000
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [7,5,3,4,6,1,2,8] => [8,2,1,6,4,3,5,7] => 1111000
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [7,4,3,5,6,1,2,8] => [8,2,1,6,5,3,4,7] => 1110100
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [6,5,4,3,7,1,2,8] => [8,2,1,7,3,4,5,6] => 1110000
[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [6,4,5,3,7,1,2,8] => [8,2,1,7,3,5,4,6] => 1111000
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [6,5,3,4,7,1,2,8] => [8,2,1,7,4,3,5,6] => 1111000
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [8,2,1,7,4,3,6,5] => 1111100
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [6,4,3,5,7,1,2,8] => [8,2,1,7,5,3,4,6] => 1110100
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [6,3,4,5,7,1,2,8] => [8,2,1,7,5,4,3,6] => 1111100
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [5,4,3,6,7,1,2,8] => [8,2,1,7,6,3,4,5] => 1110010
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [4,5,3,6,7,1,2,8] => [8,2,1,7,6,3,5,4] => 1111010
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [5,3,4,6,7,1,2,8] => [8,2,1,7,6,4,3,5] => 1111010
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [4,3,5,6,7,1,2,8] => [8,2,1,7,6,5,3,4] => 1110110
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [8,2,1,7,6,5,4,3] => 1111110
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [8,3,1,2,4,5,6,7] => 1010000
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [6,7,5,4,2,1,3,8] => [8,3,1,2,4,5,7,6] => 1010010
[[[.,[.,.]],[.,[[.,.],[.,.]]]],.] => [7,5,6,4,2,1,3,8] => [8,3,1,2,4,6,5,7] => 1010100
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,2,1,3,8] => [8,3,1,2,4,7,5,6] => 1010100
[[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [5,6,7,4,2,1,3,8] => [8,3,1,2,4,7,6,5] => 1010110
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,2,1,3,8] => [8,3,1,2,5,4,6,7] => 1011000
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [6,7,4,5,2,1,3,8] => [8,3,1,2,5,4,7,6] => 1011010
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [8,3,1,2,6,4,5,7] => 1011000
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [7,4,5,6,2,1,3,8] => [8,3,1,2,6,5,4,7] => 1011100
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [6,5,4,7,2,1,3,8] => [8,3,1,2,7,4,5,6] => 1011000
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [5,4,6,7,2,1,3,8] => [8,3,1,2,7,6,4,5] => 1011010
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [4,5,6,7,2,1,3,8] => [8,3,1,2,7,6,5,4] => 1011110
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [8,3,2,1,4,5,6,7] => 1110000
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [6,7,5,4,1,2,3,8] => [8,3,2,1,4,5,7,6] => 1110010
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [7,5,6,4,1,2,3,8] => [8,3,2,1,4,6,5,7] => 1110100
[[[[.,.],.],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,1,2,3,8] => [8,3,2,1,4,7,5,6] => 1110100
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [8,3,2,1,4,7,6,5] => 1110110
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,1,2,3,8] => [8,3,2,1,5,4,6,7] => 1111000
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [6,7,4,5,1,2,3,8] => [8,3,2,1,5,4,7,6] => 1111010
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,1,2,3,8] => [8,3,2,1,6,4,5,7] => 1111000
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [8,3,2,1,6,5,4,7] => 1111100
[[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [6,5,4,7,1,2,3,8] => [8,3,2,1,7,4,5,6] => 1111000
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [8,3,2,1,7,4,6,5] => 1111100
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [8,3,2,1,7,6,4,5] => 1111010
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [8,3,2,1,7,6,5,4] => 1111110
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [8,4,1,2,3,5,6,7] => 1001000
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [6,5,7,3,2,1,4,8] => [8,4,1,2,3,7,5,6] => 1001100
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [7,6,5,2,3,1,4,8] => [8,4,1,3,2,5,6,7] => 1101000
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [6,7,5,2,3,1,4,8] => [8,4,1,3,2,5,7,6] => 1101010
[[[.,[[.,.],.]],[[.,.],[.,.]]],.] => [7,5,6,2,3,1,4,8] => [8,4,1,3,2,6,5,7] => 1101100
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [8,4,1,3,2,7,6,5] => 1101110
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [7,6,5,3,1,2,4,8] => [8,4,2,1,3,5,6,7] => 1101000
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [6,7,5,3,1,2,4,8] => [8,4,2,1,3,5,7,6] => 1101010
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [7,5,6,3,1,2,4,8] => [8,4,2,1,3,6,5,7] => 1101100
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [6,5,7,3,1,2,4,8] => [8,4,2,1,3,7,5,6] => 1101100
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [8,4,2,1,3,7,6,5] => 1101110
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [6,7,5,2,1,3,4,8] => [8,4,3,1,2,5,7,6] => 1011010
[[[[.,[.,.]],.],[[.,.],[.,.]]],.] => [7,5,6,2,1,3,4,8] => [8,4,3,1,2,6,5,7] => 1011100
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [8,4,3,1,2,7,6,5] => 1011110
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [8,4,3,2,1,5,6,7] => 1111000
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [8,4,3,2,1,5,7,6] => 1111010
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [8,4,3,2,1,6,5,7] => 1111100
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [8,4,3,2,1,7,5,6] => 1111100
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [8,4,3,2,1,7,6,5] => 1111110
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [7,6,4,3,2,1,5,8] => [8,5,1,2,3,4,6,7] => 1000100
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [7,6,3,4,2,1,5,8] => [8,5,1,2,4,3,6,7] => 1010100
[[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [6,7,3,4,2,1,5,8] => [8,5,1,2,4,3,7,6] => 1010110
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [7,6,4,2,3,1,5,8] => [8,5,1,3,2,4,6,7] => 1100100
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [6,7,4,2,3,1,5,8] => [8,5,1,3,2,4,7,6] => 1100110
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [7,6,3,2,4,1,5,8] => [8,5,1,4,2,3,6,7] => 1100100
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [6,7,3,2,4,1,5,8] => [8,5,1,4,2,3,7,6] => 1100110
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [8,5,2,1,3,4,6,7] => 1100100
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [7,6,3,4,1,2,5,8] => [8,5,2,1,4,3,6,7] => 1110100
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [6,7,3,4,1,2,5,8] => [8,5,2,1,4,3,7,6] => 1110110
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [7,6,4,2,1,3,5,8] => [8,5,3,1,2,4,6,7] => 1010100
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [6,7,4,2,1,3,5,8] => [8,5,3,1,2,4,7,6] => 1010110
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [7,6,4,1,2,3,5,8] => [8,5,3,2,1,4,6,7] => 1110100
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [6,7,4,1,2,3,5,8] => [8,5,3,2,1,4,7,6] => 1110110
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [8,5,4,1,2,3,6,7] => 1001100
[[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [6,7,3,2,1,4,5,8] => [8,5,4,1,2,3,7,6] => 1001110
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [7,6,2,3,1,4,5,8] => [8,5,4,1,3,2,6,7] => 1101100
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [6,7,2,3,1,4,5,8] => [8,5,4,1,3,2,7,6] => 1101110
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [7,6,3,1,2,4,5,8] => [8,5,4,2,1,3,6,7] => 1101100
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [6,7,3,1,2,4,5,8] => [8,5,4,2,1,3,7,6] => 1101110
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [8,5,4,3,2,1,6,7] => 1111100
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [8,5,4,3,2,1,7,6] => 1111110
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [8,6,1,2,3,4,5,7] => 1000010
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [7,4,5,3,2,1,6,8] => [8,6,1,2,3,5,4,7] => 1001010
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [7,5,3,4,2,1,6,8] => [8,6,1,2,4,3,5,7] => 1010010
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [7,4,3,5,2,1,6,8] => [8,6,1,2,5,3,4,7] => 1010010
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [7,3,4,5,2,1,6,8] => [8,6,1,2,5,4,3,7] => 1011010
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [7,5,4,2,3,1,6,8] => [8,6,1,3,2,4,5,7] => 1100010
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [8,6,1,4,2,3,5,7] => 1100010
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [7,5,2,3,4,1,6,8] => [8,6,1,4,3,2,5,7] => 1110010
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [7,4,3,2,5,1,6,8] => [8,6,1,5,2,3,4,7] => 1100010
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [7,3,4,2,5,1,6,8] => [8,6,1,5,2,4,3,7] => 1110010
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [7,4,2,3,5,1,6,8] => [8,6,1,5,3,2,4,7] => 1110010
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [8,6,1,5,4,3,2,7] => 1111010
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [7,4,5,3,1,2,6,8] => [8,6,2,1,3,5,4,7] => 1101010
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [7,5,3,4,1,2,6,8] => [8,6,2,1,4,3,5,7] => 1110010
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [7,4,3,5,1,2,6,8] => [8,6,2,1,5,3,4,7] => 1110010
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [7,3,4,5,1,2,6,8] => [8,6,2,1,5,4,3,7] => 1111010
[[[[.,[.,.]],[[.,.],.]],[.,.]],.] => [7,4,5,2,1,3,6,8] => [8,6,3,1,2,5,4,7] => 1011010
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [7,5,4,1,2,3,6,8] => [8,6,3,2,1,4,5,7] => 1110010
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [7,4,5,1,2,3,6,8] => [8,6,3,2,1,5,4,7] => 1111010
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [7,5,2,3,1,4,6,8] => [8,6,4,1,3,2,5,7] => 1101010
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [8,6,4,2,1,3,5,7] => 1101010
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [7,5,2,1,3,4,6,8] => [8,6,4,3,1,2,5,7] => 1011010
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [8,6,4,3,2,1,5,7] => 1111010
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [8,6,5,1,2,3,4,7] => 1000110
[[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [7,3,4,2,1,5,6,8] => [8,6,5,1,2,4,3,7] => 1010110
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [7,4,2,3,1,5,6,8] => [8,6,5,1,3,2,4,7] => 1100110
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [7,2,3,4,1,5,6,8] => [8,6,5,1,4,3,2,7] => 1110110
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [7,4,3,1,2,5,6,8] => [8,6,5,2,1,3,4,7] => 1100110
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [7,3,4,1,2,5,6,8] => [8,6,5,2,1,4,3,7] => 1110110
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [8,6,5,3,2,1,4,7] => 1110110
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [8,6,5,4,1,2,3,7] => 1001110
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [7,2,3,1,4,5,6,8] => [8,6,5,4,1,3,2,7] => 1101110
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [8,6,5,4,2,1,3,7] => 1101110
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [8,6,5,4,3,1,2,7] => 1011110
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [8,6,5,4,3,2,1,7] => 1111110
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [8,7,1,2,3,4,5,6] => 1000001
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [8,7,1,2,3,4,6,5] => 1000101
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [8,7,1,2,3,6,4,5] => 1001001
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [8,7,1,2,3,6,5,4] => 1001101
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [8,7,1,2,4,3,5,6] => 1010001
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [5,6,3,4,2,1,7,8] => [8,7,1,2,4,3,6,5] => 1010101
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [6,4,3,5,2,1,7,8] => [8,7,1,2,5,3,4,6] => 1010001
[[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [6,3,4,5,2,1,7,8] => [8,7,1,2,5,4,3,6] => 1011001
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [8,7,1,2,6,3,4,5] => 1010001
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [4,3,5,6,2,1,7,8] => [8,7,1,2,6,5,3,4] => 1010101
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [8,7,1,2,6,5,4,3] => 1011101
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [6,5,4,2,3,1,7,8] => [8,7,1,3,2,4,5,6] => 1100001
[[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [5,6,4,2,3,1,7,8] => [8,7,1,3,2,4,6,5] => 1100101
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [6,4,5,2,3,1,7,8] => [8,7,1,3,2,5,4,6] => 1101001
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [5,4,6,2,3,1,7,8] => [8,7,1,3,2,6,4,5] => 1101001
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [6,5,3,2,4,1,7,8] => [8,7,1,4,2,3,5,6] => 1100001
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [6,5,2,3,4,1,7,8] => [8,7,1,4,3,2,5,6] => 1110001
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [5,6,2,3,4,1,7,8] => [8,7,1,4,3,2,6,5] => 1110101
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [6,4,3,2,5,1,7,8] => [8,7,1,5,2,3,4,6] => 1100001
[[[.,[[[.,[.,.]],.],[.,.]]],.],.] => [6,3,2,4,5,1,7,8] => [8,7,1,5,4,2,3,6] => 1101001
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [8,7,1,6,2,3,4,5] => 1100001
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [8,7,1,6,2,3,5,4] => 1101001
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [8,7,1,6,2,5,3,4] => 1110001
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [8,7,1,6,2,5,4,3] => 1111001
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [5,3,2,4,6,1,7,8] => [8,7,1,6,4,2,3,5] => 1101001
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [8,7,1,6,4,3,2,5] => 1111001
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [8,7,1,6,5,2,3,4] => 1100101
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [8,7,1,6,5,2,4,3] => 1110101
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [4,2,3,5,6,1,7,8] => [8,7,1,6,5,3,2,4] => 1110101
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [8,7,1,6,5,4,3,2] => 1111101
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [8,7,2,1,3,4,5,6] => 1100001
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [8,7,2,1,3,4,6,5] => 1100101
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [6,4,5,3,1,2,7,8] => [8,7,2,1,3,5,4,6] => 1101001
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [8,7,2,1,3,6,4,5] => 1101001
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [4,5,6,3,1,2,7,8] => [8,7,2,1,3,6,5,4] => 1101101
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [6,5,3,4,1,2,7,8] => [8,7,2,1,4,3,5,6] => 1110001
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [8,7,2,1,4,3,6,5] => 1110101
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [6,4,3,5,1,2,7,8] => [8,7,2,1,5,3,4,6] => 1110001
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [6,3,4,5,1,2,7,8] => [8,7,2,1,5,4,3,6] => 1111001
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [8,7,2,1,6,3,4,5] => 1110001
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [8,7,2,1,6,5,4,3] => 1111101
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [8,7,3,1,2,4,6,5] => 1010101
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [5,4,6,2,1,3,7,8] => [8,7,3,1,2,6,4,5] => 1011001
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [8,7,3,2,1,4,5,6] => 1110001
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [5,6,4,1,2,3,7,8] => [8,7,3,2,1,4,6,5] => 1110101
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [6,4,5,1,2,3,7,8] => [8,7,3,2,1,5,4,6] => 1111001
[[[[[.,.],.],[[.,[.,.]],.]],.],.] => [5,4,6,1,2,3,7,8] => [8,7,3,2,1,6,4,5] => 1111001
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [8,7,3,2,1,6,5,4] => 1111101
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [6,5,3,2,1,4,7,8] => [8,7,4,1,2,3,5,6] => 1001001
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [8,7,4,1,2,3,6,5] => 1001101
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [5,6,2,3,1,4,7,8] => [8,7,4,1,3,2,6,5] => 1101101
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [6,5,3,1,2,4,7,8] => [8,7,4,2,1,3,5,6] => 1101001
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [5,6,3,1,2,4,7,8] => [8,7,4,2,1,3,6,5] => 1101101
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [6,5,1,2,3,4,7,8] => [8,7,4,3,2,1,5,6] => 1111001
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [5,6,1,2,3,4,7,8] => [8,7,4,3,2,1,6,5] => 1111101
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [8,7,5,1,2,3,4,6] => 1000101
[[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [6,3,4,2,1,5,7,8] => [8,7,5,1,2,4,3,6] => 1010101
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [6,3,2,4,1,5,7,8] => [8,7,5,1,4,2,3,6] => 1100101
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [6,2,3,4,1,5,7,8] => [8,7,5,1,4,3,2,6] => 1110101
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [8,7,5,2,1,3,4,6] => 1100101
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [8,7,5,3,1,2,4,6] => 1010101
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [8,7,5,3,2,1,4,6] => 1110101
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [8,7,5,4,1,2,3,6] => 1001101
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [6,2,3,1,4,5,7,8] => [8,7,5,4,1,3,2,6] => 1101101
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [6,2,1,3,4,5,7,8] => [8,7,5,4,3,1,2,6] => 1011101
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [8,7,5,4,3,2,1,6] => 1111101
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [8,7,6,1,2,3,4,5] => 1000011
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [8,7,6,1,2,3,5,4] => 1001011
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [8,7,6,1,2,4,3,5] => 1010011
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [8,7,6,1,2,5,3,4] => 1010011
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [8,7,6,1,2,5,4,3] => 1011011
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [8,7,6,1,3,2,4,5] => 1100011
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [8,7,6,1,3,2,5,4] => 1101011
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [8,7,6,1,4,2,3,5] => 1100011
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [8,7,6,1,4,3,2,5] => 1110011
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [8,7,6,1,5,2,3,4] => 1100011
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [8,7,6,1,5,2,4,3] => 1110011
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [8,7,6,1,5,3,2,4] => 1110011
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [8,7,6,1,5,4,2,3] => 1101011
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [8,7,6,1,5,4,3,2] => 1111011
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [8,7,6,2,1,3,4,5] => 1100011
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [5,3,4,1,2,6,7,8] => [8,7,6,2,1,4,3,5] => 1110011
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [4,3,5,1,2,6,7,8] => [8,7,6,2,1,5,3,4] => 1110011
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [8,7,6,3,1,2,4,5] => 1010011
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [8,7,6,3,2,1,4,5] => 1110011
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [8,7,6,3,2,1,5,4] => 1111011
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [8,7,6,4,1,2,3,5] => 1001011
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [8,7,6,4,1,3,2,5] => 1101011
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [8,7,6,4,2,1,3,5] => 1101011
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [8,7,6,4,3,1,2,5] => 1011011
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [8,7,6,4,3,2,1,5] => 1111011
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [8,7,6,5,1,2,3,4] => 1000111
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [8,7,6,5,1,2,4,3] => 1010111
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [8,7,6,5,1,3,2,4] => 1100111
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [8,7,6,5,1,4,2,3] => 1100111
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [8,7,6,5,1,4,3,2] => 1110111
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [8,7,6,5,2,1,3,4] => 1100111
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [8,7,6,5,2,1,4,3] => 1110111
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [8,7,6,5,3,1,2,4] => 1010111
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [8,7,6,5,3,2,1,4] => 1110111
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [8,7,6,5,4,1,2,3] => 1001111
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [8,7,6,5,4,1,3,2] => 1101111
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [8,7,6,5,4,2,1,3] => 1101111
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [8,7,6,5,4,3,1,2] => 1011111
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => 1111111
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => 00000000
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8] => 00000001
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [1,2,3,4,5,6,9,8,7] => 00000011
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [1,2,3,4,5,9,8,7,6] => 00000111
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [1,2,3,4,9,8,7,6,5] => 00001111
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [1,2,3,9,8,7,6,5,4] => 00011111
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [1,2,9,8,7,6,5,4,3] => 00111111
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,3,2] => 01111111
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1] => 11111111
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => 000000000
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,10,9] => 000000001
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [9,7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,7,9] => 00000010
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,10,9,8] => 000000011
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [8,9,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,9,8] => 00000101
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [1,2,3,4,5,6,10,9,8,7] => 000000111
[.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [7,8,9,5,6,4,3,2,1] => [1,2,3,4,6,5,9,8,7] => 00001011
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [1,2,3,4,5,10,9,8,7,6] => 000001111
[.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [6,7,8,9,4,5,3,2,1] => [1,2,3,5,4,9,8,7,6] => 00010111
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [1,2,3,4,10,9,8,7,6,5] => 000011111
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [5,6,7,8,9,3,4,2,1] => [1,2,4,3,9,8,7,6,5] => 00101111
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [1,2,3,10,9,8,7,6,5,4] => 000111111
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [4,5,6,7,8,9,2,3,1] => [1,3,2,9,8,7,6,5,4] => 01011111
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [1,2,10,9,8,7,6,5,4,3] => 001111111
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,1,2] => [2,1,9,8,7,6,5,4,3] => 10111111
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [1,10,9,8,7,6,5,4,3,2] => 011111111
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => 111111111
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [1,2,3,4,5,6,9,7,8] => 00000010
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [1,2,3,4,5,9,6,7,8] => 00000100
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [1,2,3,4,9,5,6,7,8] => 00001000
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [1,2,3,9,4,5,6,7,8] => 00010000
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [1,2,9,3,4,5,6,7,8] => 00100000
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [1,9,2,3,4,5,6,7,8] => 01000000
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,7,8] => 10000000
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,10,8,9] => 000000010
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [8,6,7,9,5,4,3,2,1] => [1,2,3,4,5,9,7,6,8] => 00000110
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [1,2,3,4,5,6,10,7,8,9] => 000000100
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [8,7,5,6,9,4,3,2,1] => [1,2,3,4,9,6,5,7,8] => 00001100
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [1,2,3,4,5,10,6,7,8,9] => 000001000
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [8,7,6,4,5,9,3,2,1] => [1,2,3,9,5,4,6,7,8] => 00011000
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [1,2,3,4,10,5,6,7,8,9] => 000010000
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [8,7,6,5,3,4,9,2,1] => [1,2,9,4,3,5,6,7,8] => 00110000
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [1,2,3,10,4,5,6,7,8,9] => 000100000
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [8,7,6,5,4,2,3,9,1] => [1,9,3,2,4,5,6,7,8] => 01100000
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [1,2,10,3,4,5,6,7,8,9] => 001000000
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [9,2,1,3,4,5,6,7,8] => 11000000
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [1,10,2,3,4,5,6,7,8,9] => 010000000
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [10,1,2,3,4,5,6,7,8,9] => 100000000
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7,10,9] => 101010101
[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => [8,9,7,10,5,6,3,4,1,2] => [2,1,4,3,6,5,10,7,9,8] => 101010110
[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]] => [9,10,6,7,5,8,3,4,1,2] => [2,1,4,3,8,5,7,6,10,9] => 101011001
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => [9,10,7,8,4,5,3,6,1,2] => [2,1,6,3,5,4,8,7,10,9] => 101100101
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => [8,9,7,10,4,5,3,6,1,2] => [2,1,6,3,5,4,10,7,9,8] => 101100110
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]] => [9,10,7,8,5,6,2,3,1,4] => [4,1,3,2,6,5,8,7,10,9] => 110010101
[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]] => [8,9,7,10,5,6,2,3,1,4] => [4,1,3,2,6,5,10,7,9,8] => 110010110
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]] => [9,10,6,7,5,8,2,3,1,4] => [4,1,3,2,8,5,7,6,10,9] => 110011001
[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.] => [8,9,6,7,4,5,2,3,1,10] => [10,1,3,2,5,4,7,6,9,8] => 110101010
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [10,1,9,2,8,3,7,4,6,5] => 111110000
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [11,12,9,10,7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7,10,9,12,11] => 10101010101
[[.,.],[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]] => [10,11,9,12,7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7,12,9,11,10] => 10101010110
[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]] => [11,12,8,9,7,10,5,6,3,4,1,2] => [2,1,4,3,6,5,10,7,9,8,12,11] => 10101011001
[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]] => [11,12,9,10,6,7,5,8,3,4,1,2] => [2,1,4,3,8,5,7,6,10,9,12,11] => 10101100101
[[.,.],[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]] => [10,11,9,12,6,7,5,8,3,4,1,2] => [2,1,4,3,8,5,7,6,12,9,11,10] => 10101100110
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]] => [11,12,9,10,7,8,4,5,3,6,1,2] => [2,1,6,3,5,4,8,7,10,9,12,11] => 10110010101
[[.,.],[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]] => [10,11,9,12,7,8,4,5,3,6,1,2] => [2,1,6,3,5,4,8,7,12,9,11,10] => 10110010110
[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]] => [11,12,8,9,7,10,4,5,3,6,1,2] => [2,1,6,3,5,4,10,7,9,8,12,11] => 10110011001
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [11,12,9,10,7,8,5,6,2,3,1,4] => [4,1,3,2,6,5,8,7,10,9,12,11] => 11001010101
[[.,[[.,.],.]],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]] => [10,11,9,12,7,8,5,6,2,3,1,4] => [4,1,3,2,6,5,8,7,12,9,11,10] => 11001010110
[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]] => [11,12,8,9,7,10,5,6,2,3,1,4] => [4,1,3,2,6,5,10,7,9,8,12,11] => 11001011001
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]] => [11,12,9,10,6,7,5,8,2,3,1,4] => [4,1,3,2,8,5,7,6,10,9,12,11] => 11001100101
[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]] => [10,11,9,12,6,7,5,8,2,3,1,4] => [4,1,3,2,8,5,7,6,12,9,11,10] => 11001100110
[[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.] => [10,11,8,9,6,7,4,5,2,3,1,12] => [12,1,3,2,5,4,7,6,9,8,11,10] => 11010101010
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [10,8,6,4,2,1,3,5,7,9] => [9,7,5,3,1,2,4,6,8,10] => 101010100
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1,9] => 11111110
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1,10] => 111111110
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [8,7,6,5,4,3,1,2,9] => 10111110
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,2,3] => 01011111
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1,11] => 1111111110
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,1,2,10] => 101111110
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [8,7,6,5,4,2,1,3,9] => 11011110
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [9,2,3,1,4,5,6,7,8] => [8,7,6,5,4,1,3,2,9] => 11011110
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [4,2,3,5,6,7,8,9,1] => [1,9,8,7,6,5,3,2,4] => 01101111
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [1,9,8,7,6,5,2,4,3] => 01101111
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [1,10,9,8,7,6,5,4,2,3] => 010111111
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [1,11,10,9,8,7,6,5,4,3,2] => 0111111111
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,9,8] => 11111101
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [7,8,9,1,2,3,4,5,6] => [6,5,4,3,2,1,9,8,7] => 11111011
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [6,7,8,9,1,2,3,4,5] => [5,4,3,2,1,9,8,7,6] => 11110111
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [5,6,7,8,9,1,2,3,4] => [4,3,2,1,9,8,7,6,5] => 11101111
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [4,5,6,7,8,9,1,2,3] => [3,2,1,9,8,7,6,5,4] => 11011111
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,8,9] => 11111100
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1,10,9] => 111111101
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [8,9,10,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,10,9,8] => 111111011
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [7,8,9,10,1,2,3,4,5,6] => [6,5,4,3,2,1,10,9,8,7] => 111110111
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,1,2,3,4,5] => [5,4,3,2,1,10,9,8,7,6] => 111101111
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [5,6,7,8,9,10,1,2,3,4] => [4,3,2,1,10,9,8,7,6,5] => 111011111
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [4,3,5,6,7,8,9,1,2] => [2,1,9,8,7,6,5,3,4] => 10101111
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [4,5,6,7,8,9,10,1,2,3] => [3,2,1,10,9,8,7,6,5,4] => 110111111
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,10,1,2] => [2,1,10,9,8,7,6,5,4,3] => 101111111
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,9] => 10000000
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,8,7] => 10000010
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [8,9,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,9,8] => 10000001
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,9,10] => 100000000
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [11,1,2,3,4,5,6,7,8,9,10] => 1000000000
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [10,1,2,3,4,5,6,7,9,8] => 100000010
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [9,1,2,3,4,5,8,6,7] => 10000100
[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.] => [8,6,7,5,4,3,2,1,9] => [9,1,2,3,4,5,7,6,8] => 10000100
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [8,7,9,6,5,4,3,1,2] => [2,1,3,4,5,6,9,7,8] => 10000010
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [9,7,8,6,5,4,3,1,2] => [2,1,3,4,5,6,8,7,9] => 10000010
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [9,10,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,10,9] => 100000001
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [11,10,9,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,9,10,11] => 1000000000
[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.] => [9,7,8,5,6,3,4,1,2,10] => [10,2,1,4,3,6,5,8,7,9] => 111010100
[[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],.] => [11,9,10,7,8,5,6,3,4,1,2,12] => [12,2,1,4,3,6,5,8,7,10,9,11] => 11101010100
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,2,1,3] => [3,1,2,4,5,6,7,8,9] => 10000000
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,3,2,1,4] => [4,1,2,3,5,6,7,8,9] => 10000000
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [9,8,7,6,4,3,2,1,5] => [5,1,2,3,4,6,7,8,9] => 10000000
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [9,8,7,5,4,3,2,1,6] => [6,1,2,3,4,5,7,8,9] => 10000000
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [9,8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,8,9] => 10000000
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7,9] => 10000000
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => [3,2,1,4,5,6,7,8,9] => 11000000
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,2,1,3] => [3,1,2,4,5,6,7,8,9,10] => 100000000
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,2,3,1,4] => [4,1,3,2,5,6,7,8,9] => 11000000
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,3,2,1,4] => [4,1,2,3,5,6,7,8,9,10] => 100000000
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,4,3,2,1,5] => [5,1,2,3,4,6,7,8,9,10] => 100000000
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [10,9,8,7,5,4,3,2,1,6] => [6,1,2,3,4,5,7,8,9,10] => 100000000
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [10,9,8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,8,9,10] => 100000000
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [9,6,7,5,4,3,2,1,8] => [8,1,2,3,4,5,7,6,9] => 10000100
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [10,9,7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7,9,10] => 100000000
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,7,8,10] => 100000000
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [9,8,1,2,3,4,5,6,7] => 10000001
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [9,8,7,1,2,3,4,5,6] => 10000011
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [9,8,7,6,1,2,3,4,5] => 10000111
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [9,8,7,6,5,1,2,3,4] => 10001111
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [9,8,7,6,5,4,1,2,3] => 10011111
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,1,2] => 10111111
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [10,9,1,2,3,4,5,6,7,8] => 100000001
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [10,9,8,1,2,3,4,5,6,7] => 100000011
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [10,9,8,7,1,2,3,4,5,6] => 100000111
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [10,9,8,7,6,1,2,3,4,5] => 100001111
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [10,9,8,7,6,5,1,2,3,4] => 100011111
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [4,3,1,2,5,6,7,8,9] => [9,8,7,6,5,2,1,3,4] => 11001111
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,1,2,3] => 100111111
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [9,8,7,6,5,4,2,1,3] => 11011111
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,1,2] => 101111111
[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] => [9,8,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,8,9] => 00000100
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [9,8,7,5,6,4,3,2,1] => [1,2,3,4,6,5,7,8,9] => 00001000
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,4,5,3,2,1] => [1,2,3,5,4,6,7,8,9] => 00010000
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,3,4,2,1] => [1,2,4,3,5,6,7,8,9] => 00100000
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,8,9] => 01000000
[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] => [10,8,9,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8,10] => 000000010
[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]] => [10,9,7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,7,9,10] => 000000100
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [10,9,8,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,8,9,10] => 000001000
[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,5,6,4,3,2,1] => [1,2,3,4,6,5,7,8,9,10] => 000010000
[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,4,5,3,2,1] => [1,2,3,5,4,6,7,8,9,10] => 000100000
[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,3,4,2,1] => [1,2,4,3,5,6,7,8,9,10] => 001000000
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,8,9,10] => 010000000
[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [10,8,9,6,7,4,5,2,3,1] => [1,3,2,5,4,7,6,9,8,10] => 010101010
[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [10,8,9,6,7,4,5,2,1,3] => [3,1,2,5,4,7,6,9,8,10] => 100101010
[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]] => [10,8,9,6,7,4,2,1,3,5] => [5,3,1,2,4,7,6,9,8,10] => 101001010
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [10,8,9,6,4,2,1,3,5,7] => [7,5,3,1,2,4,6,9,8,10] => 101010010
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [9,2,3,4,5,6,7,8,1] => [1,8,7,6,5,4,3,2,9] => 01111110
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [11,10,9,8,7,6,5,4,3,1,2] => 1011111111
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [8,2,1,3,4,5,6,7,9] => [9,7,6,5,4,3,1,2,8] => 10111110
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [8,9,2,1,3,4,5,6,7] => [7,6,5,4,3,1,2,9,8] => 10111101
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [8,2,3,4,5,6,7,9,1] => [1,9,7,6,5,4,3,2,8] => 01111110
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [8,9,2,3,4,5,6,7,1] => [1,7,6,5,4,3,2,9,8] => 01111101
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [10,2,3,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,3,2,10] => 011111110
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [4,2,1,3,5,6,7,8,9] => [9,8,7,6,5,3,1,2,4] => 10101111
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [5,3,2,1,4,6,7,8,9] => [9,8,7,6,4,1,2,3,5] => 10010111
[[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.] => [6,4,3,2,1,5,7,8,9] => [9,8,7,5,1,2,3,4,6] => 10001011
[[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.] => [7,5,4,3,2,1,6,8,9] => [9,8,6,1,2,3,4,5,7] => 10000101
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [8,6,5,4,3,2,1,7,9] => [9,7,1,2,3,4,5,6,8] => 10000010
[.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]] => [7,8,6,9,5,4,3,2,1] => [1,2,3,4,5,9,6,8,7] => 00000110
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [1,9,2,8,7,6,5,4,3] => 01111110
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [9,1,8,7,6,5,4,3,2] => 11111110
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [9,8,7,6,5,4,1,3,2] => 11011111
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [2,3,4,5,1,6,7,8,9] => [9,8,7,6,1,5,4,3,2] => 11110111
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [9,8,1,7,6,5,4,3,2] => 11111101
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [10,1,9,8,7,6,5,4,3,2] => 111111110
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9] => [9,8,7,6,5,3,2,1,4] => 11101111
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [5,1,2,3,4,6,7,8,9] => [9,8,7,6,4,3,2,1,5] => 11110111
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [6,1,2,3,4,5,7,8,9] => [9,8,7,5,4,3,2,1,6] => 11111011
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [9,8,6,5,4,3,2,1,7] => 11111101
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [9,7,6,5,4,3,2,1,8] => 11111110
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,2,1,3] => 110111111
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [10,9,8,7,6,5,3,2,1,4] => 111011111
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [5,1,2,3,4,6,7,8,9,10] => [10,9,8,7,6,4,3,2,1,5] => 111101111
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [10,9,8,7,5,4,3,2,1,6] => 111110111
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [7,1,2,3,4,5,6,8,9,10] => [10,9,8,6,5,4,3,2,1,7] => 111111011
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [8,1,2,3,4,5,6,7,9,10] => [10,9,7,6,5,4,3,2,1,8] => 111111101
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [10,8,7,6,5,4,3,2,1,9] => 111111110
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [9,3,4,5,6,7,8,1,2] => [2,1,8,7,6,5,4,3,9] => 10111110
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [9,7,6,5,4,3,2,8,1] => [1,8,2,3,4,5,6,7,9] => 01000000
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [9,7,6,5,4,3,1,2,8] => [8,2,1,3,4,5,6,7,9] => 11000000
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [8,9,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,9,8] => 10000001
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [11,10,9,8,7,6,5,4,3,2,1] => 1111111111
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => [3,2,1,4,5,6,7,8,9,10] => 110000000
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [8,7,6,5,4,2,1,3,9] => [9,3,1,2,4,5,6,7,8] => 10100000
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [10,2,1,3,4,5,6,7,8,9] => 110000000
[.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]] => [8,7,9,6,5,4,2,3,1] => [1,3,2,4,5,6,9,7,8] => 01000010
[.,[[[[[[[.,.],.],.],.],[.,.]],.],.]] => [7,2,3,4,5,6,8,9,1] => [1,9,8,6,5,4,3,2,7] => 01111101
[.,[[[[[[.,.],.],.],.],[[.,.],.]],.]] => [7,8,2,3,4,5,6,9,1] => [1,9,6,5,4,3,2,8,7] => 01111110
[.,[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]] => [6,2,3,4,5,7,8,9,10,1] => [1,10,9,8,7,5,4,3,2,6] => 011110111
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [10,8,7,6,5,4,3,2,9,1] => [1,9,2,3,4,5,6,7,8,10] => 010000000
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [3,4,5,6,7,8,1,2,9] => [9,2,1,8,7,6,5,4,3] => 11111110
[.,[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]] => [8,9,6,5,4,3,2,7,1] => [1,7,2,3,4,5,6,9,8] => 01000001
[.,[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]] => [6,7,8,5,4,3,2,9,1] => [1,9,2,3,4,5,8,7,6] => 01000110
[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] => [8,9,7,6,5,4,2,1,3] => [3,1,2,4,5,6,7,9,8] => 10000001
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1,9,10] => 111111100
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [6,7,8,5,4,3,2,1,9] => [9,1,2,3,4,5,8,7,6] => 10000110
[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [7,8,9,6,5,4,3,2,1,10] => [10,1,2,3,4,5,6,9,8,7] => 100000110
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] => [10,9,8,7,6,5,4,3,2,11,1] => [1,11,2,3,4,5,6,7,8,9,10] => 0100000000
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => [6,5,4,3,2,1,7,8,9] => 11111000
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => [5,4,3,2,1,6,7,8,9] => 11110000
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => [4,3,2,1,5,6,7,8,9] => 11100000
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [9,7,1,2,3,4,5,6,8] => [8,6,5,4,3,2,1,7,9] => 11111100
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,8,9,10] => 111111000
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => [6,5,4,3,2,1,7,8,9,10] => 111110000
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => [5,4,3,2,1,6,7,8,9,10] => 111100000
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => [4,3,2,1,5,6,7,8,9,10] => 111000000
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [10,8,1,2,3,4,5,6,7,9] => [9,7,6,5,4,3,2,1,8,10] => 111111100
[[[[[.,[[.,.],.]],.],.],.],[[.,.],.]] => [8,9,2,3,1,4,5,6,7] => [7,6,5,4,1,3,2,9,8] => 11011101
[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] => [10,9,11,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,11,9,10] => 0000000010
[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [9,8,10,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,10,8,9] => 100000010
[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] => [8,9,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,9,8] => 01000001
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,11,10] => 0000000001
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [1,9,2,3,4,5,6,8,7] => 01000010
[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]] => [8,9,7,6,5,4,3,2,10,1] => [1,10,2,3,4,5,6,7,9,8] => 010000010
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [9,1,8,2,3,4,5,6,7] => 11000000
[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.] => [6,5,4,3,2,7,1,8,9] => [9,8,1,7,2,3,4,5,6] => 11000001
[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.] => [8,7,1,2,3,4,5,6,9] => [9,6,5,4,3,2,1,7,8] => 11111100
[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.] => [8,7,5,4,3,2,1,6,9] => [9,6,1,2,3,4,5,7,8] => 10000100
[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [8,7,6,5,4,3,9,1,2] => [2,1,9,3,4,5,6,7,8] => 10100000
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,2,3,1,9] => [9,1,3,2,4,5,6,7,8] => 11000000
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [3,4,1,2,5,6,7,8,9] => [9,8,7,6,5,2,1,4,3] => 11101111
[.,[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]] => [4,5,6,7,8,9,10,2,3,1] => [1,3,2,10,9,8,7,6,5,4] => 010111111
[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]] => [10,11,1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1,11,10] => 1111111101
[[[[[[[.,[.,.]],.],.],.],.],.],[[.,.],.]] => [9,10,2,1,3,4,5,6,7,8] => [8,7,6,5,4,3,1,2,10,9] => 101111101
[[[[[[.,.],[.,.]],.],.],.],[[.,.],.]] => [8,9,3,1,2,4,5,6,7] => [7,6,5,4,2,1,3,9,8] => 11011101
[[[[[[.,.],.],.],.],[.,[.,[.,.]]]],.] => [8,7,6,1,2,3,4,5,9] => [9,5,4,3,2,1,6,7,8] => 11111000
[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] => [10,3,1,2,4,5,6,7,8,9] => [9,8,7,6,5,4,2,1,3,10] => 110111110
[.,[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]] => [9,10,11,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,11,10,9] => 0000000011
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [9,10,7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7,10,9] => 100000001
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]] => [11,9,10,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,10,9,11] => 0000000010
[.,[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]] => [9,7,8,5,6,4,3,2,1] => [1,2,3,4,6,5,8,7,9] => 00001010
[.,[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]] => [8,9,6,5,7,4,3,2,1] => [1,2,3,4,7,5,6,9,8] => 00001001
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
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
Map
descent bottoms
Description
The descent bottoms of a permutation as a binary word.
searching the database
Sorry, this map was not found in the database.