Processing math: 100%

Identifier
Values
[.,[.,.]] => [2,1] => [1,2] => 1 => 1
[[.,.],.] => [1,2] => [2,1] => 0 => 2
[.,[.,[.,.]]] => [3,2,1] => [1,2,3] => 11 => 1
[.,[[.,.],.]] => [2,3,1] => [1,3,2] => 10 => 1
[[.,.],[.,.]] => [3,1,2] => [2,1,3] => 01 => 2
[[.,[.,.]],.] => [2,1,3] => [3,1,2] => 00 => 3
[[[.,.],.],.] => [1,2,3] => [3,2,1] => 00 => 3
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,2,3,4] => 111 => 1
[.,[.,[[.,.],.]]] => [3,4,2,1] => [1,2,4,3] => 110 => 1
[.,[[.,.],[.,.]]] => [4,2,3,1] => [1,3,2,4] => 101 => 1
[.,[[.,[.,.]],.]] => [3,2,4,1] => [1,4,2,3] => 100 => 1
[.,[[[.,.],.],.]] => [2,3,4,1] => [1,4,3,2] => 100 => 1
[[.,.],[.,[.,.]]] => [4,3,1,2] => [2,1,3,4] => 011 => 2
[[.,.],[[.,.],.]] => [3,4,1,2] => [2,1,4,3] => 010 => 2
[[.,[.,.]],[.,.]] => [4,2,1,3] => [3,1,2,4] => 001 => 3
[[[.,.],.],[.,.]] => [4,1,2,3] => [3,2,1,4] => 001 => 3
[[.,[.,[.,.]]],.] => [3,2,1,4] => [4,1,2,3] => 000 => 4
[[.,[[.,.],.]],.] => [2,3,1,4] => [4,1,3,2] => 000 => 4
[[[.,.],[.,.]],.] => [3,1,2,4] => [4,2,1,3] => 000 => 4
[[[.,[.,.]],.],.] => [2,1,3,4] => [4,3,1,2] => 000 => 4
[[[[.,.],.],.],.] => [1,2,3,4] => [4,3,2,1] => 000 => 4
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,2,3,4,5] => 1111 => 1
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [1,2,3,5,4] => 1110 => 1
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [1,2,4,3,5] => 1101 => 1
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [1,2,5,3,4] => 1100 => 1
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [1,2,5,4,3] => 1100 => 1
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [1,3,2,4,5] => 1011 => 1
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [1,3,2,5,4] => 1010 => 1
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [1,4,2,3,5] => 1001 => 1
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [1,4,3,2,5] => 1001 => 1
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [1,5,2,3,4] => 1000 => 1
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [1,5,2,4,3] => 1000 => 1
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [1,5,3,2,4] => 1000 => 1
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [1,5,4,2,3] => 1000 => 1
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [1,5,4,3,2] => 1000 => 1
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [2,1,3,4,5] => 0111 => 2
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [2,1,3,5,4] => 0110 => 2
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [2,1,4,3,5] => 0101 => 2
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [2,1,5,3,4] => 0100 => 2
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [2,1,5,4,3] => 0100 => 2
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [3,1,2,4,5] => 0011 => 3
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [3,1,2,5,4] => 0010 => 3
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [3,2,1,4,5] => 0011 => 3
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [3,2,1,5,4] => 0010 => 3
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [4,1,2,3,5] => 0001 => 4
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [4,1,3,2,5] => 0001 => 4
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [4,2,1,3,5] => 0001 => 4
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [4,3,1,2,5] => 0001 => 4
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [4,3,2,1,5] => 0001 => 4
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [5,1,2,3,4] => 0000 => 5
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [5,1,2,4,3] => 0000 => 5
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [5,1,3,2,4] => 0000 => 5
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [5,1,4,2,3] => 0000 => 5
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [5,1,4,3,2] => 0000 => 5
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [5,2,1,3,4] => 0000 => 5
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [5,2,1,4,3] => 0000 => 5
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [5,3,1,2,4] => 0000 => 5
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [5,3,2,1,4] => 0000 => 5
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [5,4,1,2,3] => 0000 => 5
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [5,4,1,3,2] => 0000 => 5
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [5,4,2,1,3] => 0000 => 5
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [5,4,3,1,2] => 0000 => 5
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [5,4,3,2,1] => 0000 => 5
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,2,3,4,5,6] => 11111 => 1
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [1,2,3,4,6,5] => 11110 => 1
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [1,2,3,5,4,6] => 11101 => 1
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [1,2,3,6,4,5] => 11100 => 1
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [1,2,3,6,5,4] => 11100 => 1
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [1,2,4,3,5,6] => 11011 => 1
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [1,2,4,3,6,5] => 11010 => 1
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [1,2,5,3,4,6] => 11001 => 1
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [1,2,5,4,3,6] => 11001 => 1
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [1,2,6,3,4,5] => 11000 => 1
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [1,2,6,3,5,4] => 11000 => 1
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [1,2,6,4,3,5] => 11000 => 1
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [1,2,6,5,3,4] => 11000 => 1
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [1,2,6,5,4,3] => 11000 => 1
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [1,3,2,4,5,6] => 10111 => 1
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [1,3,2,4,6,5] => 10110 => 1
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [1,3,2,5,4,6] => 10101 => 1
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [1,3,2,6,4,5] => 10100 => 1
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [1,3,2,6,5,4] => 10100 => 1
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [1,4,2,3,5,6] => 10011 => 1
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [1,4,2,3,6,5] => 10010 => 1
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [1,4,3,2,5,6] => 10011 => 1
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [1,4,3,2,6,5] => 10010 => 1
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [1,5,2,3,4,6] => 10001 => 1
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [1,5,2,4,3,6] => 10001 => 1
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [1,5,3,2,4,6] => 10001 => 1
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [1,5,4,2,3,6] => 10001 => 1
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [1,5,4,3,2,6] => 10001 => 1
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [1,6,2,3,4,5] => 10000 => 1
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [1,6,2,3,5,4] => 10000 => 1
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [1,6,2,4,3,5] => 10000 => 1
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [1,6,2,5,3,4] => 10000 => 1
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [1,6,2,5,4,3] => 10000 => 1
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [1,6,3,2,4,5] => 10000 => 1
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [1,6,3,2,5,4] => 10000 => 1
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [1,6,4,2,3,5] => 10000 => 1
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [1,6,4,3,2,5] => 10000 => 1
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [1,6,5,2,3,4] => 10000 => 1
>>> Load all 1719 entries. <<<
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [1,6,5,2,4,3] => 10000 => 1
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [1,6,5,3,2,4] => 10000 => 1
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [1,6,5,4,2,3] => 10000 => 1
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [1,6,5,4,3,2] => 10000 => 1
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [2,1,3,4,5,6] => 01111 => 2
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [2,1,3,4,6,5] => 01110 => 2
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [2,1,3,5,4,6] => 01101 => 2
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [2,1,3,6,4,5] => 01100 => 2
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [2,1,3,6,5,4] => 01100 => 2
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [2,1,4,3,5,6] => 01011 => 2
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [2,1,4,3,6,5] => 01010 => 2
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [2,1,5,3,4,6] => 01001 => 2
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [2,1,5,4,3,6] => 01001 => 2
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [2,1,6,3,4,5] => 01000 => 2
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [2,1,6,3,5,4] => 01000 => 2
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [2,1,6,4,3,5] => 01000 => 2
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [2,1,6,5,3,4] => 01000 => 2
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [2,1,6,5,4,3] => 01000 => 2
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [3,1,2,4,5,6] => 00111 => 3
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [3,1,2,4,6,5] => 00110 => 3
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [3,1,2,5,4,6] => 00101 => 3
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [3,1,2,6,4,5] => 00100 => 3
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [3,1,2,6,5,4] => 00100 => 3
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [3,2,1,4,5,6] => 00111 => 3
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [3,2,1,4,6,5] => 00110 => 3
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [3,2,1,5,4,6] => 00101 => 3
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [3,2,1,6,4,5] => 00100 => 3
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [3,2,1,6,5,4] => 00100 => 3
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [4,1,2,3,5,6] => 00011 => 4
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [4,1,2,3,6,5] => 00010 => 4
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [4,1,3,2,5,6] => 00011 => 4
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [4,1,3,2,6,5] => 00010 => 4
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [4,2,1,3,5,6] => 00011 => 4
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [4,2,1,3,6,5] => 00010 => 4
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,3,1,2,5,6] => 00011 => 4
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,3,1,2,6,5] => 00010 => 4
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [4,3,2,1,5,6] => 00011 => 4
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [4,3,2,1,6,5] => 00010 => 4
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [5,1,2,3,4,6] => 00001 => 5
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [5,1,2,4,3,6] => 00001 => 5
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [5,1,3,2,4,6] => 00001 => 5
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [5,1,4,2,3,6] => 00001 => 5
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [5,1,4,3,2,6] => 00001 => 5
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [5,2,1,3,4,6] => 00001 => 5
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [5,2,1,4,3,6] => 00001 => 5
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [5,3,1,2,4,6] => 00001 => 5
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [5,3,2,1,4,6] => 00001 => 5
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [5,4,1,2,3,6] => 00001 => 5
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [5,4,1,3,2,6] => 00001 => 5
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [5,4,2,1,3,6] => 00001 => 5
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [5,4,3,1,2,6] => 00001 => 5
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [5,4,3,2,1,6] => 00001 => 5
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [6,1,2,3,4,5] => 00000 => 6
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [6,1,2,3,5,4] => 00000 => 6
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [6,1,2,4,3,5] => 00000 => 6
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [6,1,2,5,3,4] => 00000 => 6
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [6,1,2,5,4,3] => 00000 => 6
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [6,1,3,2,4,5] => 00000 => 6
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [6,1,3,2,5,4] => 00000 => 6
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [6,1,4,2,3,5] => 00000 => 6
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [6,1,4,3,2,5] => 00000 => 6
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [6,1,5,2,3,4] => 00000 => 6
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [6,1,5,2,4,3] => 00000 => 6
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [6,1,5,3,2,4] => 00000 => 6
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [6,1,5,4,2,3] => 00000 => 6
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [6,1,5,4,3,2] => 00000 => 6
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [6,2,1,3,4,5] => 00000 => 6
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [6,2,1,3,5,4] => 00000 => 6
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [6,2,1,4,3,5] => 00000 => 6
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [6,2,1,5,3,4] => 00000 => 6
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [6,2,1,5,4,3] => 00000 => 6
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [6,3,1,2,4,5] => 00000 => 6
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [6,3,1,2,5,4] => 00000 => 6
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [6,3,2,1,4,5] => 00000 => 6
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [6,3,2,1,5,4] => 00000 => 6
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [6,4,1,2,3,5] => 00000 => 6
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [6,4,1,3,2,5] => 00000 => 6
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [6,4,2,1,3,5] => 00000 => 6
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [6,4,3,1,2,5] => 00000 => 6
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [6,4,3,2,1,5] => 00000 => 6
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [6,5,1,2,3,4] => 00000 => 6
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [6,5,1,2,4,3] => 00000 => 6
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [6,5,1,3,2,4] => 00000 => 6
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [6,5,1,4,2,3] => 00000 => 6
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [6,5,1,4,3,2] => 00000 => 6
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [6,5,2,1,3,4] => 00000 => 6
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [6,5,2,1,4,3] => 00000 => 6
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [6,5,3,1,2,4] => 00000 => 6
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [6,5,3,2,1,4] => 00000 => 6
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [6,5,4,1,2,3] => 00000 => 6
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [6,5,4,1,3,2] => 00000 => 6
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [6,5,4,2,1,3] => 00000 => 6
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [6,5,4,3,1,2] => 00000 => 6
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => 00000 => 6
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => 111111 => 1
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [1,2,3,4,5,7,6] => 111110 => 1
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [1,2,3,4,6,5,7] => 111101 => 1
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [1,2,3,4,7,5,6] => 111100 => 1
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [1,2,3,4,7,6,5] => 111100 => 1
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [1,2,3,5,4,6,7] => 111011 => 1
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [1,2,3,5,4,7,6] => 111010 => 1
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [1,2,3,6,4,5,7] => 111001 => 1
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [1,2,3,6,5,4,7] => 111001 => 1
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [1,2,3,7,4,5,6] => 111000 => 1
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [1,2,3,7,4,6,5] => 111000 => 1
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [1,2,3,7,5,4,6] => 111000 => 1
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [1,2,3,7,6,4,5] => 111000 => 1
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [1,2,3,7,6,5,4] => 111000 => 1
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [1,2,4,3,5,6,7] => 110111 => 1
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [1,2,4,3,5,7,6] => 110110 => 1
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [1,2,4,3,6,5,7] => 110101 => 1
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [1,2,4,3,7,5,6] => 110100 => 1
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [1,2,4,3,7,6,5] => 110100 => 1
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [1,2,5,3,4,6,7] => 110011 => 1
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [1,2,5,3,4,7,6] => 110010 => 1
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [1,2,5,4,3,6,7] => 110011 => 1
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [1,2,5,4,3,7,6] => 110010 => 1
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [1,2,6,3,4,5,7] => 110001 => 1
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [1,2,6,3,5,4,7] => 110001 => 1
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [1,2,6,4,3,5,7] => 110001 => 1
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [1,2,6,5,3,4,7] => 110001 => 1
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [1,2,6,5,4,3,7] => 110001 => 1
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [1,2,7,3,4,5,6] => 110000 => 1
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [1,2,7,3,4,6,5] => 110000 => 1
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [1,2,7,3,5,4,6] => 110000 => 1
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [1,2,7,3,6,4,5] => 110000 => 1
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [1,2,7,3,6,5,4] => 110000 => 1
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [1,2,7,4,3,5,6] => 110000 => 1
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [1,2,7,4,3,6,5] => 110000 => 1
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [1,2,7,5,3,4,6] => 110000 => 1
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [1,2,7,5,4,3,6] => 110000 => 1
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [1,2,7,6,3,4,5] => 110000 => 1
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [1,2,7,6,3,5,4] => 110000 => 1
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [1,2,7,6,4,3,5] => 110000 => 1
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [1,2,7,6,5,3,4] => 110000 => 1
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [1,2,7,6,5,4,3] => 110000 => 1
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [1,3,2,4,5,6,7] => 101111 => 1
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [1,3,2,4,5,7,6] => 101110 => 1
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [1,3,2,4,6,5,7] => 101101 => 1
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [1,3,2,4,7,5,6] => 101100 => 1
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [1,3,2,4,7,6,5] => 101100 => 1
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [1,3,2,5,4,6,7] => 101011 => 1
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [1,3,2,5,4,7,6] => 101010 => 1
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [1,3,2,6,4,5,7] => 101001 => 1
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [1,3,2,6,5,4,7] => 101001 => 1
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [1,3,2,7,4,5,6] => 101000 => 1
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [1,3,2,7,4,6,5] => 101000 => 1
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [1,3,2,7,5,4,6] => 101000 => 1
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [1,3,2,7,6,4,5] => 101000 => 1
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [1,3,2,7,6,5,4] => 101000 => 1
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [1,4,2,3,5,6,7] => 100111 => 1
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [1,4,2,3,5,7,6] => 100110 => 1
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [1,4,2,3,6,5,7] => 100101 => 1
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [1,4,2,3,7,5,6] => 100100 => 1
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [1,4,2,3,7,6,5] => 100100 => 1
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [1,4,3,2,5,6,7] => 100111 => 1
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [1,4,3,2,5,7,6] => 100110 => 1
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [1,4,3,2,6,5,7] => 100101 => 1
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [1,4,3,2,7,5,6] => 100100 => 1
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [1,4,3,2,7,6,5] => 100100 => 1
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [1,5,2,3,4,6,7] => 100011 => 1
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [1,5,2,3,4,7,6] => 100010 => 1
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [1,5,2,4,3,6,7] => 100011 => 1
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [1,5,2,4,3,7,6] => 100010 => 1
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [1,5,3,2,4,6,7] => 100011 => 1
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [1,5,3,2,4,7,6] => 100010 => 1
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [1,5,4,2,3,6,7] => 100011 => 1
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [1,5,4,2,3,7,6] => 100010 => 1
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [1,5,4,3,2,6,7] => 100011 => 1
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [1,5,4,3,2,7,6] => 100010 => 1
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [1,6,2,3,4,5,7] => 100001 => 1
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [1,6,2,3,5,4,7] => 100001 => 1
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [1,6,2,4,3,5,7] => 100001 => 1
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [1,6,2,5,3,4,7] => 100001 => 1
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [1,6,2,5,4,3,7] => 100001 => 1
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [1,6,3,2,4,5,7] => 100001 => 1
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [1,6,3,2,5,4,7] => 100001 => 1
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [1,6,4,2,3,5,7] => 100001 => 1
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [1,6,4,3,2,5,7] => 100001 => 1
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [1,6,5,2,3,4,7] => 100001 => 1
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [1,6,5,2,4,3,7] => 100001 => 1
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [1,6,5,3,2,4,7] => 100001 => 1
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [1,6,5,4,2,3,7] => 100001 => 1
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [1,6,5,4,3,2,7] => 100001 => 1
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [1,7,2,3,4,5,6] => 100000 => 1
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [1,7,2,3,4,6,5] => 100000 => 1
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [1,7,2,3,5,4,6] => 100000 => 1
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [1,7,2,3,6,4,5] => 100000 => 1
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [1,7,2,3,6,5,4] => 100000 => 1
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [1,7,2,4,3,5,6] => 100000 => 1
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [1,7,2,4,3,6,5] => 100000 => 1
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [1,7,2,5,3,4,6] => 100000 => 1
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [1,7,2,5,4,3,6] => 100000 => 1
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [1,7,2,6,3,4,5] => 100000 => 1
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [1,7,2,6,3,5,4] => 100000 => 1
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [1,7,2,6,4,3,5] => 100000 => 1
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [1,7,2,6,5,3,4] => 100000 => 1
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [1,7,2,6,5,4,3] => 100000 => 1
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [1,7,3,2,4,5,6] => 100000 => 1
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [1,7,3,2,4,6,5] => 100000 => 1
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [1,7,3,2,5,4,6] => 100000 => 1
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [1,7,3,2,6,4,5] => 100000 => 1
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [1,7,3,2,6,5,4] => 100000 => 1
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [1,7,4,2,3,5,6] => 100000 => 1
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [1,7,4,2,3,6,5] => 100000 => 1
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [1,7,4,3,2,5,6] => 100000 => 1
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [1,7,4,3,2,6,5] => 100000 => 1
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [1,7,5,2,3,4,6] => 100000 => 1
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [1,7,5,2,4,3,6] => 100000 => 1
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [1,7,5,3,2,4,6] => 100000 => 1
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [1,7,5,4,2,3,6] => 100000 => 1
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [1,7,5,4,3,2,6] => 100000 => 1
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [1,7,6,2,3,4,5] => 100000 => 1
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [1,7,6,2,3,5,4] => 100000 => 1
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [1,7,6,2,4,3,5] => 100000 => 1
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [1,7,6,2,5,3,4] => 100000 => 1
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [1,7,6,2,5,4,3] => 100000 => 1
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [1,7,6,3,2,4,5] => 100000 => 1
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [1,7,6,3,2,5,4] => 100000 => 1
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [1,7,6,4,2,3,5] => 100000 => 1
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [1,7,6,4,3,2,5] => 100000 => 1
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [1,7,6,5,2,3,4] => 100000 => 1
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [1,7,6,5,2,4,3] => 100000 => 1
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [1,7,6,5,3,2,4] => 100000 => 1
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [1,7,6,5,4,2,3] => 100000 => 1
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [1,7,6,5,4,3,2] => 100000 => 1
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [2,1,3,4,5,6,7] => 011111 => 2
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [2,1,3,4,5,7,6] => 011110 => 2
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [2,1,3,4,6,5,7] => 011101 => 2
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [2,1,3,4,7,5,6] => 011100 => 2
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [2,1,3,4,7,6,5] => 011100 => 2
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [2,1,3,5,4,6,7] => 011011 => 2
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [2,1,3,5,4,7,6] => 011010 => 2
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [2,1,3,6,4,5,7] => 011001 => 2
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [2,1,3,6,5,4,7] => 011001 => 2
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [2,1,3,7,4,5,6] => 011000 => 2
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [2,1,3,7,4,6,5] => 011000 => 2
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [2,1,3,7,5,4,6] => 011000 => 2
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [2,1,3,7,6,4,5] => 011000 => 2
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [2,1,3,7,6,5,4] => 011000 => 2
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [2,1,4,3,5,6,7] => 010111 => 2
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [2,1,4,3,5,7,6] => 010110 => 2
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [2,1,4,3,6,5,7] => 010101 => 2
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [2,1,4,3,7,5,6] => 010100 => 2
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [2,1,4,3,7,6,5] => 010100 => 2
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [2,1,5,3,4,6,7] => 010011 => 2
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [2,1,5,3,4,7,6] => 010010 => 2
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [2,1,5,4,3,6,7] => 010011 => 2
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [2,1,5,4,3,7,6] => 010010 => 2
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [2,1,6,3,4,5,7] => 010001 => 2
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [2,1,6,3,5,4,7] => 010001 => 2
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [2,1,6,4,3,5,7] => 010001 => 2
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [2,1,6,5,3,4,7] => 010001 => 2
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [2,1,6,5,4,3,7] => 010001 => 2
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [2,1,7,3,4,5,6] => 010000 => 2
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [2,1,7,3,4,6,5] => 010000 => 2
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [2,1,7,3,5,4,6] => 010000 => 2
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [2,1,7,3,6,4,5] => 010000 => 2
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [2,1,7,3,6,5,4] => 010000 => 2
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [2,1,7,4,3,5,6] => 010000 => 2
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [2,1,7,4,3,6,5] => 010000 => 2
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [2,1,7,5,3,4,6] => 010000 => 2
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [2,1,7,5,4,3,6] => 010000 => 2
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [2,1,7,6,3,4,5] => 010000 => 2
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [2,1,7,6,3,5,4] => 010000 => 2
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [2,1,7,6,4,3,5] => 010000 => 2
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [2,1,7,6,5,3,4] => 010000 => 2
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [2,1,7,6,5,4,3] => 010000 => 2
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [3,1,2,4,5,6,7] => 001111 => 3
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [3,1,2,4,5,7,6] => 001110 => 3
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [3,1,2,4,6,5,7] => 001101 => 3
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [3,1,2,4,7,5,6] => 001100 => 3
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [3,1,2,4,7,6,5] => 001100 => 3
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [3,1,2,5,4,6,7] => 001011 => 3
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [3,1,2,5,4,7,6] => 001010 => 3
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [3,1,2,6,4,5,7] => 001001 => 3
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [3,1,2,6,5,4,7] => 001001 => 3
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [3,1,2,7,4,5,6] => 001000 => 3
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [3,1,2,7,4,6,5] => 001000 => 3
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [3,1,2,7,5,4,6] => 001000 => 3
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [3,1,2,7,6,4,5] => 001000 => 3
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [3,1,2,7,6,5,4] => 001000 => 3
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [3,2,1,4,5,6,7] => 001111 => 3
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [3,2,1,4,5,7,6] => 001110 => 3
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [3,2,1,4,6,5,7] => 001101 => 3
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [3,2,1,4,7,5,6] => 001100 => 3
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [3,2,1,4,7,6,5] => 001100 => 3
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [3,2,1,5,4,6,7] => 001011 => 3
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [3,2,1,5,4,7,6] => 001010 => 3
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [3,2,1,6,4,5,7] => 001001 => 3
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [3,2,1,6,5,4,7] => 001001 => 3
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [3,2,1,7,4,5,6] => 001000 => 3
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [3,2,1,7,4,6,5] => 001000 => 3
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [3,2,1,7,5,4,6] => 001000 => 3
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [3,2,1,7,6,4,5] => 001000 => 3
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [3,2,1,7,6,5,4] => 001000 => 3
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [4,1,2,3,5,6,7] => 000111 => 4
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [4,1,2,3,5,7,6] => 000110 => 4
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [4,1,2,3,6,5,7] => 000101 => 4
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [4,1,2,3,7,5,6] => 000100 => 4
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [4,1,2,3,7,6,5] => 000100 => 4
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [4,1,3,2,5,6,7] => 000111 => 4
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [4,1,3,2,5,7,6] => 000110 => 4
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [4,1,3,2,6,5,7] => 000101 => 4
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [4,1,3,2,7,5,6] => 000100 => 4
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [4,1,3,2,7,6,5] => 000100 => 4
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [4,2,1,3,5,6,7] => 000111 => 4
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [4,2,1,3,5,7,6] => 000110 => 4
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [4,2,1,3,6,5,7] => 000101 => 4
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [4,2,1,3,7,5,6] => 000100 => 4
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [4,2,1,3,7,6,5] => 000100 => 4
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [4,3,1,2,5,6,7] => 000111 => 4
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [4,3,1,2,5,7,6] => 000110 => 4
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [4,3,1,2,6,5,7] => 000101 => 4
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [4,3,1,2,7,5,6] => 000100 => 4
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [4,3,1,2,7,6,5] => 000100 => 4
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [4,3,2,1,5,6,7] => 000111 => 4
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [4,3,2,1,5,7,6] => 000110 => 4
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [4,3,2,1,6,5,7] => 000101 => 4
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [4,3,2,1,7,5,6] => 000100 => 4
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [4,3,2,1,7,6,5] => 000100 => 4
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [5,1,2,3,4,6,7] => 000011 => 5
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [5,1,2,3,4,7,6] => 000010 => 5
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [5,1,2,4,3,6,7] => 000011 => 5
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [5,1,2,4,3,7,6] => 000010 => 5
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [5,1,3,2,4,6,7] => 000011 => 5
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [5,1,3,2,4,7,6] => 000010 => 5
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [5,1,4,2,3,6,7] => 000011 => 5
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [5,1,4,2,3,7,6] => 000010 => 5
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [5,1,4,3,2,6,7] => 000011 => 5
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [5,1,4,3,2,7,6] => 000010 => 5
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [5,2,1,3,4,6,7] => 000011 => 5
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [5,2,1,3,4,7,6] => 000010 => 5
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [5,2,1,4,3,6,7] => 000011 => 5
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [5,2,1,4,3,7,6] => 000010 => 5
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [5,3,1,2,4,6,7] => 000011 => 5
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [5,3,1,2,4,7,6] => 000010 => 5
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [5,3,2,1,4,6,7] => 000011 => 5
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [5,3,2,1,4,7,6] => 000010 => 5
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [5,4,1,2,3,6,7] => 000011 => 5
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [5,4,1,2,3,7,6] => 000010 => 5
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [5,4,1,3,2,6,7] => 000011 => 5
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [5,4,1,3,2,7,6] => 000010 => 5
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [5,4,2,1,3,6,7] => 000011 => 5
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [5,4,2,1,3,7,6] => 000010 => 5
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [5,4,3,1,2,6,7] => 000011 => 5
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [5,4,3,1,2,7,6] => 000010 => 5
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [5,4,3,2,1,6,7] => 000011 => 5
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [5,4,3,2,1,7,6] => 000010 => 5
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [6,1,2,3,4,5,7] => 000001 => 6
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [6,1,2,3,5,4,7] => 000001 => 6
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [6,1,2,4,3,5,7] => 000001 => 6
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [6,1,2,5,3,4,7] => 000001 => 6
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [6,1,2,5,4,3,7] => 000001 => 6
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [6,1,3,2,4,5,7] => 000001 => 6
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [6,1,3,2,5,4,7] => 000001 => 6
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [6,1,4,2,3,5,7] => 000001 => 6
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [6,1,4,3,2,5,7] => 000001 => 6
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [6,1,5,2,3,4,7] => 000001 => 6
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [6,1,5,2,4,3,7] => 000001 => 6
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [6,1,5,3,2,4,7] => 000001 => 6
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [6,1,5,4,2,3,7] => 000001 => 6
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [6,1,5,4,3,2,7] => 000001 => 6
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [6,2,1,3,4,5,7] => 000001 => 6
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [6,2,1,3,5,4,7] => 000001 => 6
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [6,2,1,4,3,5,7] => 000001 => 6
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [6,2,1,5,3,4,7] => 000001 => 6
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [6,2,1,5,4,3,7] => 000001 => 6
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [6,3,1,2,4,5,7] => 000001 => 6
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [6,3,1,2,5,4,7] => 000001 => 6
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [6,3,2,1,4,5,7] => 000001 => 6
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [6,3,2,1,5,4,7] => 000001 => 6
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [6,4,1,2,3,5,7] => 000001 => 6
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [6,4,1,3,2,5,7] => 000001 => 6
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [6,4,2,1,3,5,7] => 000001 => 6
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [6,4,3,1,2,5,7] => 000001 => 6
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [6,4,3,2,1,5,7] => 000001 => 6
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [6,5,1,2,3,4,7] => 000001 => 6
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [6,5,1,2,4,3,7] => 000001 => 6
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [6,5,1,3,2,4,7] => 000001 => 6
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [6,5,1,4,2,3,7] => 000001 => 6
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [6,5,1,4,3,2,7] => 000001 => 6
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [6,5,2,1,3,4,7] => 000001 => 6
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [6,5,2,1,4,3,7] => 000001 => 6
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [6,5,3,1,2,4,7] => 000001 => 6
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [6,5,3,2,1,4,7] => 000001 => 6
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [6,5,4,1,2,3,7] => 000001 => 6
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [6,5,4,1,3,2,7] => 000001 => 6
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [6,5,4,2,1,3,7] => 000001 => 6
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [6,5,4,3,1,2,7] => 000001 => 6
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [6,5,4,3,2,1,7] => 000001 => 6
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [7,1,2,3,4,5,6] => 000000 => 7
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [7,1,2,3,4,6,5] => 000000 => 7
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [7,1,2,3,5,4,6] => 000000 => 7
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [7,1,2,3,6,4,5] => 000000 => 7
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [7,1,2,3,6,5,4] => 000000 => 7
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [7,1,2,4,3,5,6] => 000000 => 7
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [7,1,2,4,3,6,5] => 000000 => 7
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [7,1,2,5,3,4,6] => 000000 => 7
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [7,1,2,5,4,3,6] => 000000 => 7
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [7,1,2,6,3,4,5] => 000000 => 7
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [7,1,2,6,3,5,4] => 000000 => 7
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [7,1,2,6,4,3,5] => 000000 => 7
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [7,1,2,6,5,3,4] => 000000 => 7
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [7,1,2,6,5,4,3] => 000000 => 7
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [7,1,3,2,4,5,6] => 000000 => 7
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [7,1,3,2,4,6,5] => 000000 => 7
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [7,1,3,2,5,4,6] => 000000 => 7
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [7,1,3,2,6,4,5] => 000000 => 7
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [7,1,3,2,6,5,4] => 000000 => 7
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [7,1,4,2,3,5,6] => 000000 => 7
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [7,1,4,2,3,6,5] => 000000 => 7
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [7,1,4,3,2,5,6] => 000000 => 7
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [7,1,4,3,2,6,5] => 000000 => 7
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [7,1,5,2,3,4,6] => 000000 => 7
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [7,1,5,2,4,3,6] => 000000 => 7
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [7,1,5,3,2,4,6] => 000000 => 7
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [7,1,5,4,2,3,6] => 000000 => 7
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [7,1,5,4,3,2,6] => 000000 => 7
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [7,1,6,2,3,4,5] => 000000 => 7
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [7,1,6,2,3,5,4] => 000000 => 7
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [7,1,6,2,4,3,5] => 000000 => 7
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [7,1,6,2,5,3,4] => 000000 => 7
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [7,1,6,2,5,4,3] => 000000 => 7
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [7,1,6,3,2,4,5] => 000000 => 7
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [7,1,6,3,2,5,4] => 000000 => 7
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [7,1,6,4,2,3,5] => 000000 => 7
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [7,1,6,4,3,2,5] => 000000 => 7
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [7,1,6,5,2,3,4] => 000000 => 7
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [7,1,6,5,2,4,3] => 000000 => 7
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [7,1,6,5,3,2,4] => 000000 => 7
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [7,1,6,5,4,2,3] => 000000 => 7
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [7,1,6,5,4,3,2] => 000000 => 7
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [7,2,1,3,4,5,6] => 000000 => 7
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [7,2,1,3,4,6,5] => 000000 => 7
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [7,2,1,3,5,4,6] => 000000 => 7
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [7,2,1,3,6,4,5] => 000000 => 7
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [7,2,1,3,6,5,4] => 000000 => 7
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [7,2,1,4,3,5,6] => 000000 => 7
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [7,2,1,4,3,6,5] => 000000 => 7
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [7,2,1,5,3,4,6] => 000000 => 7
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [7,2,1,5,4,3,6] => 000000 => 7
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [7,2,1,6,3,4,5] => 000000 => 7
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [7,2,1,6,3,5,4] => 000000 => 7
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [7,2,1,6,4,3,5] => 000000 => 7
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [7,2,1,6,5,3,4] => 000000 => 7
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [7,2,1,6,5,4,3] => 000000 => 7
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [7,3,1,2,4,5,6] => 000000 => 7
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [7,3,1,2,4,6,5] => 000000 => 7
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [7,3,1,2,5,4,6] => 000000 => 7
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [7,3,1,2,6,4,5] => 000000 => 7
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [7,3,1,2,6,5,4] => 000000 => 7
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [7,3,2,1,4,5,6] => 000000 => 7
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [7,3,2,1,4,6,5] => 000000 => 7
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [7,3,2,1,5,4,6] => 000000 => 7
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [7,3,2,1,6,4,5] => 000000 => 7
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [7,3,2,1,6,5,4] => 000000 => 7
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [7,4,1,2,3,5,6] => 000000 => 7
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [7,4,1,2,3,6,5] => 000000 => 7
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [7,4,1,3,2,5,6] => 000000 => 7
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [7,4,1,3,2,6,5] => 000000 => 7
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [7,4,2,1,3,5,6] => 000000 => 7
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [7,4,2,1,3,6,5] => 000000 => 7
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [7,4,3,1,2,5,6] => 000000 => 7
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [7,4,3,1,2,6,5] => 000000 => 7
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [7,4,3,2,1,5,6] => 000000 => 7
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [7,4,3,2,1,6,5] => 000000 => 7
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [7,5,1,2,3,4,6] => 000000 => 7
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [7,5,1,2,4,3,6] => 000000 => 7
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [7,5,1,3,2,4,6] => 000000 => 7
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [7,5,1,4,2,3,6] => 000000 => 7
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [7,5,1,4,3,2,6] => 000000 => 7
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [7,5,2,1,3,4,6] => 000000 => 7
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [7,5,2,1,4,3,6] => 000000 => 7
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [7,5,3,1,2,4,6] => 000000 => 7
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [7,5,3,2,1,4,6] => 000000 => 7
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [7,5,4,1,2,3,6] => 000000 => 7
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [7,5,4,1,3,2,6] => 000000 => 7
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [7,5,4,2,1,3,6] => 000000 => 7
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [7,5,4,3,1,2,6] => 000000 => 7
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [7,5,4,3,2,1,6] => 000000 => 7
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [7,6,1,2,3,4,5] => 000000 => 7
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [7,6,1,2,3,5,4] => 000000 => 7
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [7,6,1,2,4,3,5] => 000000 => 7
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [7,6,1,2,5,3,4] => 000000 => 7
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [7,6,1,2,5,4,3] => 000000 => 7
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [7,6,1,3,2,4,5] => 000000 => 7
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [7,6,1,3,2,5,4] => 000000 => 7
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [7,6,1,4,2,3,5] => 000000 => 7
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [7,6,1,4,3,2,5] => 000000 => 7
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [7,6,1,5,2,3,4] => 000000 => 7
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [7,6,1,5,2,4,3] => 000000 => 7
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [7,6,1,5,3,2,4] => 000000 => 7
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [7,6,1,5,4,2,3] => 000000 => 7
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [7,6,1,5,4,3,2] => 000000 => 7
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [7,6,2,1,3,4,5] => 000000 => 7
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [7,6,2,1,3,5,4] => 000000 => 7
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [7,6,2,1,4,3,5] => 000000 => 7
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [7,6,2,1,5,3,4] => 000000 => 7
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [7,6,2,1,5,4,3] => 000000 => 7
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [7,6,3,1,2,4,5] => 000000 => 7
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [7,6,3,1,2,5,4] => 000000 => 7
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [7,6,3,2,1,4,5] => 000000 => 7
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [7,6,3,2,1,5,4] => 000000 => 7
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [7,6,4,1,2,3,5] => 000000 => 7
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [7,6,4,1,3,2,5] => 000000 => 7
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [7,6,4,2,1,3,5] => 000000 => 7
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [7,6,4,3,1,2,5] => 000000 => 7
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [7,6,4,3,2,1,5] => 000000 => 7
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [7,6,5,1,2,3,4] => 000000 => 7
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [7,6,5,1,2,4,3] => 000000 => 7
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [7,6,5,1,3,2,4] => 000000 => 7
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [7,6,5,1,4,2,3] => 000000 => 7
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [7,6,5,1,4,3,2] => 000000 => 7
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [7,6,5,2,1,3,4] => 000000 => 7
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [7,6,5,2,1,4,3] => 000000 => 7
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [7,6,5,3,1,2,4] => 000000 => 7
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [7,6,5,3,2,1,4] => 000000 => 7
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [7,6,5,4,1,2,3] => 000000 => 7
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [7,6,5,4,1,3,2] => 000000 => 7
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [7,6,5,4,2,1,3] => 000000 => 7
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [7,6,5,4,3,1,2] => 000000 => 7
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => 000000 => 7
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => 1111111 => 1
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,7] => 1111110 => 1
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,8] => 1111101 => 1
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [1,2,3,4,5,8,6,7] => 1111100 => 1
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [1,2,3,4,5,8,7,6] => 1111100 => 1
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [1,2,3,4,6,5,7,8] => 1111011 => 1
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [1,2,3,4,6,5,8,7] => 1111010 => 1
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [1,2,3,4,7,5,6,8] => 1111001 => 1
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [1,2,3,4,7,6,5,8] => 1111001 => 1
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [1,2,3,4,8,5,6,7] => 1111000 => 1
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [1,2,3,4,8,5,7,6] => 1111000 => 1
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [1,2,3,4,8,6,5,7] => 1111000 => 1
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [1,2,3,4,8,7,5,6] => 1111000 => 1
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [1,2,3,4,8,7,6,5] => 1111000 => 1
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [1,2,3,5,4,6,7,8] => 1110111 => 1
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [1,2,3,5,4,6,8,7] => 1110110 => 1
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [1,2,3,5,4,7,6,8] => 1110101 => 1
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [7,6,8,4,5,3,2,1] => [1,2,3,5,4,8,6,7] => 1110100 => 1
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [6,7,8,4,5,3,2,1] => [1,2,3,5,4,8,7,6] => 1110100 => 1
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [8,7,5,4,6,3,2,1] => [1,2,3,6,4,5,7,8] => 1110011 => 1
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [7,8,5,4,6,3,2,1] => [1,2,3,6,4,5,8,7] => 1110010 => 1
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [1,2,3,6,5,4,7,8] => 1110011 => 1
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [7,8,4,5,6,3,2,1] => [1,2,3,6,5,4,8,7] => 1110010 => 1
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [1,2,3,7,4,5,6,8] => 1110001 => 1
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [8,5,6,4,7,3,2,1] => [1,2,3,7,4,6,5,8] => 1110001 => 1
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [8,6,4,5,7,3,2,1] => [1,2,3,7,5,4,6,8] => 1110001 => 1
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [8,5,4,6,7,3,2,1] => [1,2,3,7,6,4,5,8] => 1110001 => 1
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [1,2,3,7,6,5,4,8] => 1110001 => 1
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [1,2,3,8,4,5,6,7] => 1110000 => 1
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [1,2,3,8,4,5,7,6] => 1110000 => 1
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [1,2,3,8,4,6,5,7] => 1110000 => 1
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [1,2,3,8,4,7,5,6] => 1110000 => 1
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [1,2,3,8,4,7,6,5] => 1110000 => 1
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [7,6,4,5,8,3,2,1] => [1,2,3,8,5,4,6,7] => 1110000 => 1
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [6,7,4,5,8,3,2,1] => [1,2,3,8,5,4,7,6] => 1110000 => 1
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [7,5,4,6,8,3,2,1] => [1,2,3,8,6,4,5,7] => 1110000 => 1
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [1,2,3,8,6,5,4,7] => 1110000 => 1
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [1,2,3,8,7,4,5,6] => 1110000 => 1
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [1,2,3,8,7,4,6,5] => 1110000 => 1
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [1,2,3,8,7,5,4,6] => 1110000 => 1
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [1,2,3,8,7,6,4,5] => 1110000 => 1
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [1,2,3,8,7,6,5,4] => 1110000 => 1
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [1,2,4,3,5,6,7,8] => 1101111 => 1
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [1,2,4,3,5,6,8,7] => 1101110 => 1
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [1,2,4,3,5,7,6,8] => 1101101 => 1
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [1,2,4,3,5,8,6,7] => 1101100 => 1
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [6,7,8,5,3,4,2,1] => [1,2,4,3,5,8,7,6] => 1101100 => 1
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [1,2,4,3,6,5,7,8] => 1101011 => 1
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [1,2,4,3,6,5,8,7] => 1101010 => 1
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [8,6,5,7,3,4,2,1] => [1,2,4,3,7,5,6,8] => 1101001 => 1
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [7,6,5,8,3,4,2,1] => [1,2,4,3,8,5,6,7] => 1101000 => 1
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [6,7,5,8,3,4,2,1] => [1,2,4,3,8,5,7,6] => 1101000 => 1
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [6,5,7,8,3,4,2,1] => [1,2,4,3,8,7,5,6] => 1101000 => 1
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [1,2,4,3,8,7,6,5] => 1101000 => 1
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [8,7,6,4,3,5,2,1] => [1,2,5,3,4,6,7,8] => 1100111 => 1
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [7,8,6,4,3,5,2,1] => [1,2,5,3,4,6,8,7] => 1100110 => 1
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [8,6,7,4,3,5,2,1] => [1,2,5,3,4,7,6,8] => 1100101 => 1
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [7,6,8,4,3,5,2,1] => [1,2,5,3,4,8,6,7] => 1100100 => 1
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [1,2,5,3,4,8,7,6] => 1100100 => 1
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [1,2,5,4,3,6,7,8] => 1100111 => 1
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [7,8,6,3,4,5,2,1] => [1,2,5,4,3,6,8,7] => 1100110 => 1
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [7,6,8,3,4,5,2,1] => [1,2,5,4,3,8,6,7] => 1100100 => 1
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [1,2,5,4,3,8,7,6] => 1100100 => 1
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [1,2,6,3,4,5,7,8] => 1100011 => 1
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [1,2,6,3,4,5,8,7] => 1100010 => 1
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [8,7,5,3,4,6,2,1] => [1,2,6,4,3,5,7,8] => 1100011 => 1
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [1,2,6,5,3,4,7,8] => 1100011 => 1
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [1,2,6,5,4,3,7,8] => 1100011 => 1
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [1,2,7,3,4,5,6,8] => 1100001 => 1
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [8,5,6,4,3,7,2,1] => [1,2,7,3,4,6,5,8] => 1100001 => 1
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [8,6,4,5,3,7,2,1] => [1,2,7,3,5,4,6,8] => 1100001 => 1
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [8,5,4,6,3,7,2,1] => [1,2,7,3,6,4,5,8] => 1100001 => 1
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [8,6,5,3,4,7,2,1] => [1,2,7,4,3,5,6,8] => 1100001 => 1
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [1,2,7,5,3,4,6,8] => 1100001 => 1
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [8,5,4,3,6,7,2,1] => [1,2,7,6,3,4,5,8] => 1100001 => 1
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [8,5,3,4,6,7,2,1] => [1,2,7,6,4,3,5,8] => 1100001 => 1
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [1,2,7,6,5,4,3,8] => 1100001 => 1
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [1,2,8,3,4,5,6,7] => 1100000 => 1
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [1,2,8,3,4,5,7,6] => 1100000 => 1
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [7,5,6,4,3,8,2,1] => [1,2,8,3,4,6,5,7] => 1100000 => 1
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [1,2,8,3,4,7,6,5] => 1100000 => 1
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [7,6,4,5,3,8,2,1] => [1,2,8,3,5,4,6,7] => 1100000 => 1
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [6,7,4,5,3,8,2,1] => [1,2,8,3,5,4,7,6] => 1100000 => 1
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [1,2,8,3,6,4,5,7] => 1100000 => 1
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [7,4,5,6,3,8,2,1] => [1,2,8,3,6,5,4,7] => 1100000 => 1
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [1,2,8,3,7,4,5,6] => 1100000 => 1
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [5,6,4,7,3,8,2,1] => [1,2,8,3,7,4,6,5] => 1100000 => 1
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [6,4,5,7,3,8,2,1] => [1,2,8,3,7,5,4,6] => 1100000 => 1
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [1,2,8,3,7,6,4,5] => 1100000 => 1
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [1,2,8,3,7,6,5,4] => 1100000 => 1
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [7,6,5,3,4,8,2,1] => [1,2,8,4,3,5,6,7] => 1100000 => 1
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [6,7,5,3,4,8,2,1] => [1,2,8,4,3,5,7,6] => 1100000 => 1
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [7,5,6,3,4,8,2,1] => [1,2,8,4,3,6,5,7] => 1100000 => 1
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [6,5,7,3,4,8,2,1] => [1,2,8,4,3,7,5,6] => 1100000 => 1
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [5,6,7,3,4,8,2,1] => [1,2,8,4,3,7,6,5] => 1100000 => 1
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [7,6,4,3,5,8,2,1] => [1,2,8,5,3,4,6,7] => 1100000 => 1
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [7,6,3,4,5,8,2,1] => [1,2,8,5,4,3,6,7] => 1100000 => 1
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [7,5,3,4,6,8,2,1] => [1,2,8,6,4,3,5,7] => 1100000 => 1
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [1,2,8,6,5,4,3,7] => 1100000 => 1
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [1,2,8,7,3,4,5,6] => 1100000 => 1
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [5,6,4,3,7,8,2,1] => [1,2,8,7,3,4,6,5] => 1100000 => 1
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [1,2,8,7,3,6,5,4] => 1100000 => 1
[.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [5,6,3,4,7,8,2,1] => [1,2,8,7,4,3,6,5] => 1100000 => 1
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [1,2,8,7,5,4,3,6] => 1100000 => 1
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [1,2,8,7,6,3,4,5] => 1100000 => 1
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [4,5,3,6,7,8,2,1] => [1,2,8,7,6,3,5,4] => 1100000 => 1
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [5,3,4,6,7,8,2,1] => [1,2,8,7,6,4,3,5] => 1100000 => 1
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [1,2,8,7,6,5,3,4] => 1100000 => 1
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [1,2,8,7,6,5,4,3] => 1100000 => 1
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,8] => 1011111 => 1
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [1,3,2,4,5,6,8,7] => 1011110 => 1
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [1,3,2,4,5,7,6,8] => 1011101 => 1
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [1,3,2,4,5,8,6,7] => 1011100 => 1
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,2,3,1] => [1,3,2,4,5,8,7,6] => 1011100 => 1
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [1,3,2,4,6,5,7,8] => 1011011 => 1
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,2,3,1] => [1,3,2,4,6,5,8,7] => 1011010 => 1
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [8,5,6,7,4,2,3,1] => [1,3,2,4,7,6,5,8] => 1011001 => 1
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,2,3,1] => [1,3,2,4,8,5,6,7] => 1011000 => 1
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [1,3,2,4,8,5,7,6] => 1011000 => 1
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,2,3,1] => [1,3,2,4,8,6,5,7] => 1011000 => 1
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [1,3,2,4,8,7,6,5] => 1011000 => 1
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [1,3,2,5,4,6,7,8] => 1010111 => 1
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [1,3,2,5,4,7,6,8] => 1010101 => 1
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [7,6,8,4,5,2,3,1] => [1,3,2,5,4,8,6,7] => 1010100 => 1
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,2,3,1] => [1,3,2,5,4,8,7,6] => 1010100 => 1
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [1,3,2,6,4,5,7,8] => 1010011 => 1
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,2,3,1] => [1,3,2,6,5,4,7,8] => 1010011 => 1
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [1,3,2,6,5,4,8,7] => 1010010 => 1
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [8,6,5,4,7,2,3,1] => [1,3,2,7,4,5,6,8] => 1010001 => 1
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,2,3,1] => [1,3,2,7,4,6,5,8] => 1010001 => 1
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,2,3,1] => [1,3,2,7,5,4,6,8] => 1010001 => 1
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,2,3,1] => [1,3,2,8,4,5,6,7] => 1010000 => 1
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [6,7,5,4,8,2,3,1] => [1,3,2,8,4,5,7,6] => 1010000 => 1
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,2,3,1] => [1,3,2,8,4,6,5,7] => 1010000 => 1
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,2,3,1] => [1,3,2,8,4,7,5,6] => 1010000 => 1
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,2,3,1] => [1,3,2,8,5,4,7,6] => 1010000 => 1
[.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [7,4,5,6,8,2,3,1] => [1,3,2,8,6,5,4,7] => 1010000 => 1
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,2,3,1] => [1,3,2,8,7,4,5,6] => 1010000 => 1
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,2,3,1] => [1,3,2,8,7,4,6,5] => 1010000 => 1
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [6,4,5,7,8,2,3,1] => [1,3,2,8,7,5,4,6] => 1010000 => 1
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,2,3,1] => [1,3,2,8,7,6,4,5] => 1010000 => 1
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [1,3,2,8,7,6,5,4] => 1010000 => 1
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [1,4,2,3,5,6,7,8] => 1001111 => 1
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,2,4,1] => [1,4,2,3,5,6,8,7] => 1001110 => 1
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,2,4,1] => [1,4,2,3,5,7,6,8] => 1001101 => 1
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [1,4,2,3,5,8,6,7] => 1001100 => 1
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [1,4,2,3,5,8,7,6] => 1001100 => 1
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,2,4,1] => [1,4,2,3,6,5,7,8] => 1001011 => 1
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,2,4,1] => [1,4,2,3,6,5,8,7] => 1001010 => 1
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [1,4,2,3,7,5,6,8] => 1001001 => 1
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [1,4,2,3,8,5,6,7] => 1001000 => 1
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [1,4,2,3,8,5,7,6] => 1001000 => 1
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,2,4,1] => [1,4,2,3,8,6,5,7] => 1001000 => 1
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,2,4,1] => [1,4,2,3,8,7,5,6] => 1001000 => 1
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [1,4,2,3,8,7,6,5] => 1001000 => 1
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [1,4,3,2,5,6,7,8] => 1001111 => 1
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,2,3,4,1] => [1,4,3,2,5,7,6,8] => 1001101 => 1
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,2,3,4,1] => [1,4,3,2,5,8,6,7] => 1001100 => 1
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [1,4,3,2,5,8,7,6] => 1001100 => 1
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [1,4,3,2,7,6,5,8] => 1001001 => 1
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,2,3,4,1] => [1,4,3,2,8,5,6,7] => 1001000 => 1
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [1,4,3,2,8,7,6,5] => 1001000 => 1
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [8,7,6,4,3,2,5,1] => [1,5,2,3,4,6,7,8] => 1000111 => 1
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [7,8,6,4,3,2,5,1] => [1,5,2,3,4,6,8,7] => 1000110 => 1
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [8,6,7,4,3,2,5,1] => [1,5,2,3,4,7,6,8] => 1000101 => 1
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [1,5,2,3,4,8,6,7] => 1000100 => 1
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [6,7,8,4,3,2,5,1] => [1,5,2,3,4,8,7,6] => 1000100 => 1
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [1,5,2,4,3,6,7,8] => 1000111 => 1
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [7,8,6,3,4,2,5,1] => [1,5,2,4,3,6,8,7] => 1000110 => 1
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [1,5,2,4,3,7,6,8] => 1000101 => 1
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [1,5,2,4,3,8,6,7] => 1000100 => 1
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [1,5,2,4,3,8,7,6] => 1000100 => 1
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,2,3,5,1] => [1,5,3,2,4,6,8,7] => 1000110 => 1
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,2,3,5,1] => [1,5,3,2,4,7,6,8] => 1000101 => 1
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,2,3,5,1] => [1,5,3,2,4,8,6,7] => 1000100 => 1
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [1,5,3,2,4,8,7,6] => 1000100 => 1
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [8,7,6,3,2,4,5,1] => [1,5,4,2,3,6,7,8] => 1000111 => 1
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [1,5,4,2,3,6,8,7] => 1000110 => 1
[.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [7,6,8,3,2,4,5,1] => [1,5,4,2,3,8,6,7] => 1000100 => 1
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [1,5,4,2,3,8,7,6] => 1000100 => 1
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [1,5,4,3,2,8,7,6] => 1000100 => 1
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [8,7,5,4,3,2,6,1] => [1,6,2,3,4,5,7,8] => 1000011 => 1
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [1,6,2,3,4,5,8,7] => 1000010 => 1
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [8,7,5,3,4,2,6,1] => [1,6,2,4,3,5,7,8] => 1000011 => 1
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [1,6,2,4,3,5,8,7] => 1000010 => 1
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [1,6,2,5,3,4,7,8] => 1000011 => 1
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [7,8,4,3,5,2,6,1] => [1,6,2,5,3,4,8,7] => 1000010 => 1
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [8,7,5,4,2,3,6,1] => [1,6,3,2,4,5,7,8] => 1000011 => 1
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [8,7,4,5,2,3,6,1] => [1,6,3,2,5,4,7,8] => 1000011 => 1
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [8,7,5,3,2,4,6,1] => [1,6,4,2,3,5,7,8] => 1000011 => 1
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [7,8,5,3,2,4,6,1] => [1,6,4,2,3,5,8,7] => 1000010 => 1
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [7,8,4,3,2,5,6,1] => [1,6,5,2,3,4,8,7] => 1000010 => 1
[.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [8,7,4,2,3,5,6,1] => [1,6,5,3,2,4,7,8] => 1000011 => 1
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [7,8,4,2,3,5,6,1] => [1,6,5,3,2,4,8,7] => 1000010 => 1
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [1,6,5,4,2,3,8,7] => 1000010 => 1
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [1,6,5,4,3,2,7,8] => 1000011 => 1
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [1,6,5,4,3,2,8,7] => 1000010 => 1
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [1,7,2,3,4,5,6,8] => 1000001 => 1
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [8,5,6,4,3,2,7,1] => [1,7,2,3,4,6,5,8] => 1000001 => 1
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [8,6,4,5,3,2,7,1] => [1,7,2,3,5,4,6,8] => 1000001 => 1
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [8,5,4,6,3,2,7,1] => [1,7,2,3,6,4,5,8] => 1000001 => 1
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [8,6,5,3,4,2,7,1] => [1,7,2,4,3,5,6,8] => 1000001 => 1
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [8,5,6,3,4,2,7,1] => [1,7,2,4,3,6,5,8] => 1000001 => 1
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [1,7,2,5,3,4,6,8] => 1000001 => 1
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [8,6,3,4,5,2,7,1] => [1,7,2,5,4,3,6,8] => 1000001 => 1
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [1,7,2,6,3,4,5,8] => 1000001 => 1
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [1,7,2,6,3,5,4,8] => 1000001 => 1
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [8,5,3,4,6,2,7,1] => [1,7,2,6,4,3,5,8] => 1000001 => 1
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [1,7,2,6,5,4,3,8] => 1000001 => 1
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,2,3,7,1] => [1,7,3,2,4,5,6,8] => 1000001 => 1
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [8,5,6,4,2,3,7,1] => [1,7,3,2,4,6,5,8] => 1000001 => 1
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [8,6,4,5,2,3,7,1] => [1,7,3,2,5,4,6,8] => 1000001 => 1
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [8,6,5,3,2,4,7,1] => [1,7,4,2,3,5,6,8] => 1000001 => 1
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [1,7,5,3,2,4,6,8] => 1000001 => 1
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [1,7,5,4,3,2,6,8] => 1000001 => 1
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [1,7,6,2,3,4,5,8] => 1000001 => 1
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [1,7,6,2,4,3,5,8] => 1000001 => 1
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [8,5,4,2,3,6,7,1] => [1,7,6,3,2,4,5,8] => 1000001 => 1
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [8,5,3,2,4,6,7,1] => [1,7,6,4,2,3,5,8] => 1000001 => 1
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [1,7,6,5,2,4,3,8] => 1000001 => 1
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [8,4,2,3,5,6,7,1] => [1,7,6,5,3,2,4,8] => 1000001 => 1
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [1,7,6,5,4,2,3,8] => 1000001 => 1
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [1,7,6,5,4,3,2,8] => 1000001 => 1
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [1,8,2,3,4,5,6,7] => 1000000 => 1
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [1,8,2,3,4,5,7,6] => 1000000 => 1
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [7,5,6,4,3,2,8,1] => [1,8,2,3,4,6,5,7] => 1000000 => 1
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [1,8,2,3,4,7,5,6] => 1000000 => 1
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [1,8,2,3,5,4,6,7] => 1000000 => 1
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [7,5,4,6,3,2,8,1] => [1,8,2,3,6,4,5,7] => 1000000 => 1
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [7,4,5,6,3,2,8,1] => [1,8,2,3,6,5,4,7] => 1000000 => 1
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [6,4,5,7,3,2,8,1] => [1,8,2,3,7,5,4,6] => 1000000 => 1
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [5,4,6,7,3,2,8,1] => [1,8,2,3,7,6,4,5] => 1000000 => 1
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [1,8,2,3,7,6,5,4] => 1000000 => 1
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [7,6,5,3,4,2,8,1] => [1,8,2,4,3,5,6,7] => 1000000 => 1
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [1,8,2,4,3,6,5,7] => 1000000 => 1
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [6,5,7,3,4,2,8,1] => [1,8,2,4,3,7,5,6] => 1000000 => 1
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [5,6,7,3,4,2,8,1] => [1,8,2,4,3,7,6,5] => 1000000 => 1
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [7,6,4,3,5,2,8,1] => [1,8,2,5,3,4,6,7] => 1000000 => 1
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [6,7,4,3,5,2,8,1] => [1,8,2,5,3,4,7,6] => 1000000 => 1
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [1,8,2,6,3,4,5,7] => 1000000 => 1
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [1,8,2,6,3,5,4,7] => 1000000 => 1
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [7,5,3,4,6,2,8,1] => [1,8,2,6,4,3,5,7] => 1000000 => 1
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [1,8,2,7,3,4,5,6] => 1000000 => 1
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [5,6,4,3,7,2,8,1] => [1,8,2,7,3,4,6,5] => 1000000 => 1
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [1,8,2,7,3,5,4,6] => 1000000 => 1
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [1,8,2,7,3,6,4,5] => 1000000 => 1
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [1,8,2,7,3,6,5,4] => 1000000 => 1
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [1,8,2,7,4,3,5,6] => 1000000 => 1
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [1,8,2,7,4,3,6,5] => 1000000 => 1
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [1,8,2,7,5,3,4,6] => 1000000 => 1
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [1,8,2,7,6,3,4,5] => 1000000 => 1
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [1,8,2,7,6,3,5,4] => 1000000 => 1
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [1,8,2,7,6,5,4,3] => 1000000 => 1
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [1,8,3,2,4,5,6,7] => 1000000 => 1
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,2,3,8,1] => [1,8,3,2,4,5,7,6] => 1000000 => 1
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,2,3,8,1] => [1,8,3,2,4,7,5,6] => 1000000 => 1
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [1,8,3,2,5,4,7,6] => 1000000 => 1
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,2,3,8,1] => [1,8,3,2,6,4,5,7] => 1000000 => 1
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [1,8,3,2,7,5,4,6] => 1000000 => 1
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [1,8,3,2,7,6,5,4] => 1000000 => 1
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [7,6,5,3,2,4,8,1] => [1,8,4,2,3,5,6,7] => 1000000 => 1
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [6,7,5,3,2,4,8,1] => [1,8,4,2,3,5,7,6] => 1000000 => 1
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [7,5,6,3,2,4,8,1] => [1,8,4,2,3,6,5,7] => 1000000 => 1
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [6,5,7,3,2,4,8,1] => [1,8,4,2,3,7,5,6] => 1000000 => 1
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [5,6,7,3,2,4,8,1] => [1,8,4,2,3,7,6,5] => 1000000 => 1
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [1,8,4,3,2,5,6,7] => 1000000 => 1
[.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [6,7,5,2,3,4,8,1] => [1,8,4,3,2,5,7,6] => 1000000 => 1
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [1,8,5,2,3,4,7,6] => 1000000 => 1
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [7,6,4,2,3,5,8,1] => [1,8,5,3,2,4,6,7] => 1000000 => 1
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [6,7,4,2,3,5,8,1] => [1,8,5,3,2,4,7,6] => 1000000 => 1
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [1,8,5,4,2,3,6,7] => 1000000 => 1
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [6,7,3,2,4,5,8,1] => [1,8,5,4,2,3,7,6] => 1000000 => 1
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [7,6,2,3,4,5,8,1] => [1,8,5,4,3,2,6,7] => 1000000 => 1
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [1,8,5,4,3,2,7,6] => 1000000 => 1
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [7,5,4,3,2,6,8,1] => [1,8,6,2,3,4,5,7] => 1000000 => 1
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [7,5,3,4,2,6,8,1] => [1,8,6,2,4,3,5,7] => 1000000 => 1
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [7,4,3,5,2,6,8,1] => [1,8,6,2,5,3,4,7] => 1000000 => 1
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [7,5,4,2,3,6,8,1] => [1,8,6,3,2,4,5,7] => 1000000 => 1
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [1,8,6,4,2,3,5,7] => 1000000 => 1
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [7,4,2,3,5,6,8,1] => [1,8,6,5,3,2,4,7] => 1000000 => 1
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [1,8,6,5,4,3,2,7] => 1000000 => 1
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [1,8,7,2,3,4,5,6] => 1000000 => 1
[.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [5,6,4,3,2,7,8,1] => [1,8,7,2,3,4,6,5] => 1000000 => 1
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [6,4,5,3,2,7,8,1] => [1,8,7,2,3,5,4,6] => 1000000 => 1
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [1,8,7,2,3,6,4,5] => 1000000 => 1
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [1,8,7,2,3,6,5,4] => 1000000 => 1
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [6,4,3,5,2,7,8,1] => [1,8,7,2,5,3,4,6] => 1000000 => 1
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [1,8,7,2,5,4,3,6] => 1000000 => 1
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [1,8,7,2,6,3,4,5] => 1000000 => 1
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [4,5,3,6,2,7,8,1] => [1,8,7,2,6,3,5,4] => 1000000 => 1
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [1,8,7,2,6,5,3,4] => 1000000 => 1
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [1,8,7,2,6,5,4,3] => 1000000 => 1
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [6,5,4,2,3,7,8,1] => [1,8,7,3,2,4,5,6] => 1000000 => 1
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [5,6,4,2,3,7,8,1] => [1,8,7,3,2,4,6,5] => 1000000 => 1
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [6,4,5,2,3,7,8,1] => [1,8,7,3,2,5,4,6] => 1000000 => 1
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [5,4,6,2,3,7,8,1] => [1,8,7,3,2,6,4,5] => 1000000 => 1
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [6,5,3,2,4,7,8,1] => [1,8,7,4,2,3,5,6] => 1000000 => 1
[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [5,6,3,2,4,7,8,1] => [1,8,7,4,2,3,6,5] => 1000000 => 1
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [6,5,2,3,4,7,8,1] => [1,8,7,4,3,2,5,6] => 1000000 => 1
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [5,6,2,3,4,7,8,1] => [1,8,7,4,3,2,6,5] => 1000000 => 1
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [6,4,3,2,5,7,8,1] => [1,8,7,5,2,3,4,6] => 1000000 => 1
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [6,4,2,3,5,7,8,1] => [1,8,7,5,3,2,4,6] => 1000000 => 1
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [1,8,7,5,4,3,2,6] => 1000000 => 1
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [1,8,7,6,2,3,4,5] => 1000000 => 1
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [1,8,7,6,2,4,3,5] => 1000000 => 1
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [1,8,7,6,2,5,4,3] => 1000000 => 1
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [5,4,2,3,6,7,8,1] => [1,8,7,6,3,2,4,5] => 1000000 => 1
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [4,5,2,3,6,7,8,1] => [1,8,7,6,3,2,5,4] => 1000000 => 1
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [5,3,2,4,6,7,8,1] => [1,8,7,6,4,2,3,5] => 1000000 => 1
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [1,8,7,6,4,3,2,5] => 1000000 => 1
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [1,8,7,6,5,2,3,4] => 1000000 => 1
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [1,8,7,6,5,2,4,3] => 1000000 => 1
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [1,8,7,6,5,3,2,4] => 1000000 => 1
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [1,8,7,6,5,4,2,3] => 1000000 => 1
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [1,8,7,6,5,4,3,2] => 1000000 => 1
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8] => 0111111 => 2
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [2,1,3,4,5,6,8,7] => 0111110 => 2
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [2,1,3,4,5,7,6,8] => 0111101 => 2
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,3,1,2] => [2,1,3,4,5,8,6,7] => 0111100 => 2
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [2,1,3,4,5,8,7,6] => 0111100 => 2
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [2,1,3,4,6,5,7,8] => 0111011 => 2
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [7,8,5,6,4,3,1,2] => [2,1,3,4,6,5,8,7] => 0111010 => 2
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [2,1,3,4,7,5,6,8] => 0111001 => 2
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,3,1,2] => [2,1,3,4,8,5,6,7] => 0111000 => 2
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,3,1,2] => [2,1,3,4,8,5,7,6] => 0111000 => 2
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,3,1,2] => [2,1,3,4,8,6,5,7] => 0111000 => 2
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [2,1,3,4,8,7,5,6] => 0111000 => 2
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [2,1,3,4,8,7,6,5] => 0111000 => 2
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [2,1,3,5,4,6,7,8] => 0110111 => 2
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [2,1,3,5,4,6,8,7] => 0110110 => 2
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,3,1,2] => [2,1,3,5,4,8,7,6] => 0110100 => 2
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [2,1,3,6,4,5,7,8] => 0110011 => 2
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [7,8,5,4,6,3,1,2] => [2,1,3,6,4,5,8,7] => 0110010 => 2
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,3,1,2] => [2,1,3,6,5,4,8,7] => 0110010 => 2
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,3,1,2] => [2,1,3,8,4,5,6,7] => 0110000 => 2
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [6,7,5,4,8,3,1,2] => [2,1,3,8,4,5,7,6] => 0110000 => 2
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [7,5,6,4,8,3,1,2] => [2,1,3,8,4,6,5,7] => 0110000 => 2
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [6,5,7,4,8,3,1,2] => [2,1,3,8,4,7,5,6] => 0110000 => 2
[[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [5,6,7,4,8,3,1,2] => [2,1,3,8,4,7,6,5] => 0110000 => 2
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,3,1,2] => [2,1,3,8,5,4,6,7] => 0110000 => 2
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,3,1,2] => [2,1,3,8,5,4,7,6] => 0110000 => 2
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,3,1,2] => [2,1,3,8,6,4,5,7] => 0110000 => 2
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [7,4,5,6,8,3,1,2] => [2,1,3,8,6,5,4,7] => 0110000 => 2
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,3,1,2] => [2,1,3,8,7,4,5,6] => 0110000 => 2
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,3,1,2] => [2,1,3,8,7,4,6,5] => 0110000 => 2
[[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [6,4,5,7,8,3,1,2] => [2,1,3,8,7,5,4,6] => 0110000 => 2
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,3,1,2] => [2,1,3,8,7,6,4,5] => 0110000 => 2
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [2,1,3,8,7,6,5,4] => 0110000 => 2
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [2,1,4,3,5,6,7,8] => 0101111 => 2
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [2,1,4,3,5,6,8,7] => 0101110 => 2
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,4,1,2] => [2,1,4,3,5,8,6,7] => 0101100 => 2
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [2,1,4,3,5,8,7,6] => 0101100 => 2
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [2,1,4,3,6,5,7,8] => 0101011 => 2
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7] => 0101010 => 2
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,4,1,2] => [2,1,4,3,8,5,6,7] => 0101000 => 2
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [2,1,4,3,8,5,7,6] => 0101000 => 2
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [2,1,4,3,8,6,5,7] => 0101000 => 2
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [2,1,4,3,8,7,5,6] => 0101000 => 2
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [2,1,4,3,8,7,6,5] => 0101000 => 2
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [2,1,5,4,3,6,7,8] => 0100111 => 2
[[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [7,8,6,3,4,5,1,2] => [2,1,5,4,3,6,8,7] => 0100110 => 2
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [8,6,7,3,4,5,1,2] => [2,1,5,4,3,7,6,8] => 0100101 => 2
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [6,7,8,3,4,5,1,2] => [2,1,5,4,3,8,7,6] => 0100100 => 2
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [2,1,6,3,4,5,8,7] => 0100010 => 2
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [2,1,6,3,5,4,8,7] => 0100010 => 2
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [8,7,5,3,4,6,1,2] => [2,1,6,4,3,5,7,8] => 0100011 => 2
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [2,1,6,4,3,5,8,7] => 0100010 => 2
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [2,1,6,5,4,3,8,7] => 0100010 => 2
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,3,7,1,2] => [2,1,7,3,4,5,6,8] => 0100001 => 2
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,3,7,1,2] => [2,1,7,3,6,4,5,8] => 0100001 => 2
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [8,5,4,3,6,7,1,2] => [2,1,7,6,3,4,5,8] => 0100001 => 2
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [2,1,7,6,5,3,4,8] => 0100001 => 2
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [2,1,7,6,5,4,3,8] => 0100001 => 2
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [2,1,8,3,4,5,6,7] => 0100000 => 2
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [5,6,7,4,3,8,1,2] => [2,1,8,3,4,7,6,5] => 0100000 => 2
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [2,1,8,3,5,4,7,6] => 0100000 => 2
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,3,8,1,2] => [2,1,8,3,6,4,5,7] => 0100000 => 2
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [6,5,4,7,3,8,1,2] => [2,1,8,3,7,4,5,6] => 0100000 => 2
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [6,4,5,7,3,8,1,2] => [2,1,8,3,7,5,4,6] => 0100000 => 2
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [5,4,6,7,3,8,1,2] => [2,1,8,3,7,6,4,5] => 0100000 => 2
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [4,5,6,7,3,8,1,2] => [2,1,8,3,7,6,5,4] => 0100000 => 2
[[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [6,7,5,3,4,8,1,2] => [2,1,8,4,3,5,7,6] => 0100000 => 2
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [7,5,6,3,4,8,1,2] => [2,1,8,4,3,6,5,7] => 0100000 => 2
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [6,5,7,3,4,8,1,2] => [2,1,8,4,3,7,5,6] => 0100000 => 2
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [5,6,7,3,4,8,1,2] => [2,1,8,4,3,7,6,5] => 0100000 => 2
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [6,7,4,3,5,8,1,2] => [2,1,8,5,3,4,7,6] => 0100000 => 2
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [6,7,3,4,5,8,1,2] => [2,1,8,5,4,3,7,6] => 0100000 => 2
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [7,4,5,3,6,8,1,2] => [2,1,8,6,3,5,4,7] => 0100000 => 2
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [7,5,3,4,6,8,1,2] => [2,1,8,6,4,3,5,7] => 0100000 => 2
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [2,1,8,6,5,4,3,7] => 0100000 => 2
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [2,1,8,7,3,4,5,6] => 0100000 => 2
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [6,4,5,3,7,8,1,2] => [2,1,8,7,3,5,4,6] => 0100000 => 2
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [2,1,8,7,3,6,4,5] => 0100000 => 2
[[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [6,5,3,4,7,8,1,2] => [2,1,8,7,4,3,5,6] => 0100000 => 2
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [2,1,8,7,4,3,6,5] => 0100000 => 2
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [2,1,8,7,5,3,4,6] => 0100000 => 2
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [2,1,8,7,5,4,3,6] => 0100000 => 2
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [2,1,8,7,6,3,4,5] => 0100000 => 2
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [2,1,8,7,6,3,5,4] => 0100000 => 2
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [2,1,8,7,6,5,3,4] => 0100000 => 2
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [2,1,8,7,6,5,4,3] => 0100000 => 2
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [3,1,2,4,5,6,7,8] => 0011111 => 3
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [3,1,2,4,5,6,8,7] => 0011110 => 3
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [8,6,7,5,4,2,1,3] => [3,1,2,4,5,7,6,8] => 0011101 => 3
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [3,1,2,4,5,8,6,7] => 0011100 => 3
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [3,1,2,4,6,5,8,7] => 0011010 => 3
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,2,1,3] => [3,1,2,4,7,5,6,8] => 0011001 => 3
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [3,1,2,4,8,5,6,7] => 0011000 => 3
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,2,1,3] => [3,1,2,4,8,5,7,6] => 0011000 => 3
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,2,1,3] => [3,1,2,4,8,6,5,7] => 0011000 => 3
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,2,1,3] => [3,1,2,4,8,7,5,6] => 0011000 => 3
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [3,1,2,4,8,7,6,5] => 0011000 => 3
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [7,8,6,4,5,2,1,3] => [3,1,2,5,4,6,8,7] => 0010110 => 3
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,2,1,3] => [3,1,2,5,4,7,6,8] => 0010101 => 3
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,2,1,3] => [3,1,2,6,4,5,8,7] => 0010010 => 3
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,2,1,3] => [3,1,2,7,5,4,6,8] => 0010001 => 3
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,2,1,3] => [3,1,2,8,4,5,6,7] => 0010000 => 3
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,2,1,3] => [3,1,2,8,4,5,7,6] => 0010000 => 3
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,2,1,3] => [3,1,2,8,4,7,5,6] => 0010000 => 3
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,2,1,3] => [3,1,2,8,5,4,7,6] => 0010000 => 3
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,2,1,3] => [3,1,2,8,6,4,5,7] => 0010000 => 3
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,2,1,3] => [3,1,2,8,7,4,5,6] => 0010000 => 3
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,2,1,3] => [3,1,2,8,7,6,4,5] => 0010000 => 3
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [3,1,2,8,7,6,5,4] => 0010000 => 3
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [3,2,1,4,5,6,7,8] => 0011111 => 3
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [3,2,1,4,5,6,8,7] => 0011110 => 3
[[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [8,6,7,5,4,1,2,3] => [3,2,1,4,5,7,6,8] => 0011101 => 3
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [3,2,1,4,5,8,7,6] => 0011100 => 3
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [3,2,1,4,7,6,5,8] => 0011001 => 3
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,1,2,3] => [3,2,1,4,8,5,6,7] => 0011000 => 3
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [6,7,5,8,4,1,2,3] => [3,2,1,4,8,5,7,6] => 0011000 => 3
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [3,2,1,4,8,7,6,5] => 0011000 => 3
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => [3,2,1,5,4,6,7,8] => 0010111 => 3
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [3,2,1,5,4,7,6,8] => 0010101 => 3
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,1,2,3] => [3,2,1,6,4,5,7,8] => 0010011 => 3
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [3,2,1,6,5,4,7,8] => 0010011 => 3
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [3,2,1,6,5,4,8,7] => 0010010 => 3
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,1,2,3] => [3,2,1,7,4,5,6,8] => 0010001 => 3
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [8,5,6,4,7,1,2,3] => [3,2,1,7,4,6,5,8] => 0010001 => 3
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,1,2,3] => [3,2,1,7,5,4,6,8] => 0010001 => 3
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,1,2,3] => [3,2,1,7,6,4,5,8] => 0010001 => 3
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [3,2,1,7,6,5,4,8] => 0010001 => 3
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [3,2,1,8,4,5,6,7] => 0010000 => 3
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,1,2,3] => [3,2,1,8,4,5,7,6] => 0010000 => 3
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [7,5,6,4,8,1,2,3] => [3,2,1,8,4,6,5,7] => 0010000 => 3
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [6,5,7,4,8,1,2,3] => [3,2,1,8,4,7,5,6] => 0010000 => 3
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,1,2,3] => [3,2,1,8,5,4,6,7] => 0010000 => 3
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,1,2,3] => [3,2,1,8,5,4,7,6] => 0010000 => 3
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [3,2,1,8,6,4,5,7] => 0010000 => 3
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [3,2,1,8,7,4,5,6] => 0010000 => 3
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [5,6,4,7,8,1,2,3] => [3,2,1,8,7,4,6,5] => 0010000 => 3
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [3,2,1,8,7,6,5,4] => 0010000 => 3
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [4,1,2,3,5,6,7,8] => 0001111 => 4
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [4,1,2,3,5,7,6,8] => 0001101 => 4
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,2,1,4] => [4,1,2,3,5,8,6,7] => 0001100 => 4
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [4,1,2,3,6,5,8,7] => 0001010 => 4
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [4,1,2,3,7,5,6,8] => 0001001 => 4
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [4,1,2,3,8,5,6,7] => 0001000 => 4
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [4,1,2,3,8,5,7,6] => 0001000 => 4
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,2,1,4] => [4,1,2,3,8,6,5,7] => 0001000 => 4
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [4,1,2,3,8,7,5,6] => 0001000 => 4
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [4,1,2,3,8,7,6,5] => 0001000 => 4
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [4,1,3,2,5,6,7,8] => 0001111 => 4
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [4,1,3,2,5,7,6,8] => 0001101 => 4
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [7,8,5,6,2,3,1,4] => [4,1,3,2,6,5,8,7] => 0001010 => 4
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [4,1,3,2,8,5,6,7] => 0001000 => 4
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [4,1,3,2,8,5,7,6] => 0001000 => 4
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [4,1,3,2,8,6,5,7] => 0001000 => 4
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [4,1,3,2,8,7,6,5] => 0001000 => 4
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [4,2,1,3,5,6,7,8] => 0001111 => 4
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,1,2,4] => [4,2,1,3,5,8,6,7] => 0001100 => 4
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,1,2,4] => [4,2,1,3,5,8,7,6] => 0001100 => 4
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [4,2,1,3,6,5,7,8] => 0001011 => 4
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [4,2,1,3,6,5,8,7] => 0001010 => 4
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [4,2,1,3,8,5,7,6] => 0001000 => 4
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [4,2,1,3,8,6,5,7] => 0001000 => 4
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [4,2,1,3,8,7,5,6] => 0001000 => 4
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [4,2,1,3,8,7,6,5] => 0001000 => 4
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [4,3,1,2,5,6,7,8] => 0001111 => 4
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [4,3,1,2,5,6,8,7] => 0001110 => 4
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,1,3,4] => [4,3,1,2,5,7,6,8] => 0001101 => 4
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [4,3,1,2,5,8,7,6] => 0001100 => 4
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,1,3,4] => [4,3,1,2,6,5,7,8] => 0001011 => 4
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [4,3,1,2,8,5,7,6] => 0001000 => 4
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [7,5,6,8,2,1,3,4] => [4,3,1,2,8,6,5,7] => 0001000 => 4
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [4,3,1,2,8,7,5,6] => 0001000 => 4
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [4,3,1,2,8,7,6,5] => 0001000 => 4
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [4,3,2,1,5,6,7,8] => 0001111 => 4
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [4,3,2,1,5,6,8,7] => 0001110 => 4
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [4,3,2,1,5,7,6,8] => 0001101 => 4
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [4,3,2,1,5,8,6,7] => 0001100 => 4
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [4,3,2,1,5,8,7,6] => 0001100 => 4
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [4,3,2,1,6,5,7,8] => 0001011 => 4
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [4,3,2,1,6,5,8,7] => 0001010 => 4
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [4,3,2,1,7,5,6,8] => 0001001 => 4
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [4,3,2,1,7,6,5,8] => 0001001 => 4
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [4,3,2,1,8,5,6,7] => 0001000 => 4
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [4,3,2,1,8,5,7,6] => 0001000 => 4
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [4,3,2,1,8,6,5,7] => 0001000 => 4
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [4,3,2,1,8,7,5,6] => 0001000 => 4
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [4,3,2,1,8,7,6,5] => 0001000 => 4
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [5,1,2,3,4,6,7,8] => 0000111 => 5
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [5,1,2,3,4,6,8,7] => 0000110 => 5
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [5,1,2,3,4,8,6,7] => 0000100 => 5
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [5,1,2,4,3,6,7,8] => 0000111 => 5
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [7,8,6,3,4,2,1,5] => [5,1,2,4,3,6,8,7] => 0000110 => 5
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,2,3,1,5] => [5,1,3,2,4,6,7,8] => 0000111 => 5
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [7,8,6,4,2,3,1,5] => [5,1,3,2,4,6,8,7] => 0000110 => 5
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [8,6,7,4,2,3,1,5] => [5,1,3,2,4,7,6,8] => 0000101 => 5
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,2,3,1,5] => [5,1,3,2,4,8,6,7] => 0000100 => 5
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [5,1,4,2,3,6,7,8] => 0000111 => 5
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [7,6,8,3,2,4,1,5] => [5,1,4,2,3,8,6,7] => 0000100 => 5
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [5,1,4,3,2,6,7,8] => 0000111 => 5
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [7,8,6,2,3,4,1,5] => [5,1,4,3,2,6,8,7] => 0000110 => 5
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [6,7,8,2,3,4,1,5] => [5,1,4,3,2,8,7,6] => 0000100 => 5
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [8,7,6,4,3,1,2,5] => [5,2,1,3,4,6,7,8] => 0000111 => 5
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [5,2,1,3,4,8,7,6] => 0000100 => 5
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [5,2,1,4,3,6,7,8] => 0000111 => 5
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [5,3,1,2,4,6,7,8] => 0000111 => 5
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,2,1,3,5] => [5,3,1,2,4,6,8,7] => 0000110 => 5
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [5,3,1,2,4,7,6,8] => 0000101 => 5
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [6,7,8,4,2,1,3,5] => [5,3,1,2,4,8,7,6] => 0000100 => 5
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [5,3,2,1,4,6,7,8] => 0000111 => 5
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [5,3,2,1,4,6,8,7] => 0000110 => 5
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,1,2,3,5] => [5,3,2,1,4,7,6,8] => 0000101 => 5
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [7,6,8,4,1,2,3,5] => [5,3,2,1,4,8,6,7] => 0000100 => 5
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [5,3,2,1,4,8,7,6] => 0000100 => 5
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [5,4,1,2,3,6,7,8] => 0000111 => 5
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [7,6,8,3,2,1,4,5] => [5,4,1,2,3,8,6,7] => 0000100 => 5
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [5,4,1,2,3,8,7,6] => 0000100 => 5
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [5,4,1,3,2,6,7,8] => 0000111 => 5
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [7,6,8,2,3,1,4,5] => [5,4,1,3,2,8,6,7] => 0000100 => 5
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [5,4,1,3,2,8,7,6] => 0000100 => 5
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [5,4,2,1,3,6,7,8] => 0000111 => 5
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [5,4,3,1,2,6,7,8] => 0000111 => 5
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [7,6,8,2,1,3,4,5] => [5,4,3,1,2,8,6,7] => 0000100 => 5
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,4,3,1,2,8,7,6] => 0000100 => 5
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [5,4,3,2,1,6,7,8] => 0000111 => 5
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [5,4,3,2,1,6,8,7] => 0000110 => 5
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [5,4,3,2,1,7,6,8] => 0000101 => 5
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [5,4,3,2,1,8,6,7] => 0000100 => 5
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [5,4,3,2,1,8,7,6] => 0000100 => 5
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [6,1,2,3,4,5,7,8] => 0000011 => 6
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [6,1,2,3,4,5,8,7] => 0000010 => 6
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [8,7,4,5,3,2,1,6] => [6,1,2,3,5,4,7,8] => 0000011 => 6
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [8,7,5,3,4,2,1,6] => [6,1,2,4,3,5,7,8] => 0000011 => 6
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [7,8,5,3,4,2,1,6] => [6,1,2,4,3,5,8,7] => 0000010 => 6
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [6,1,4,2,3,5,7,8] => 0000011 => 6
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [7,8,5,3,2,4,1,6] => [6,1,4,2,3,5,8,7] => 0000010 => 6
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [8,7,4,3,2,5,1,6] => [6,1,5,2,3,4,7,8] => 0000011 => 6
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [7,8,4,3,2,5,1,6] => [6,1,5,2,3,4,8,7] => 0000010 => 6
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [7,8,3,4,2,5,1,6] => [6,1,5,2,4,3,8,7] => 0000010 => 6
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [8,7,5,3,4,1,2,6] => [6,2,1,4,3,5,7,8] => 0000011 => 6
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [7,8,5,3,4,1,2,6] => [6,2,1,4,3,5,8,7] => 0000010 => 6
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [6,2,1,5,4,3,7,8] => 0000011 => 6
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,2,1,3,6] => [6,3,1,2,4,5,7,8] => 0000011 => 6
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [6,3,1,2,4,5,8,7] => 0000010 => 6
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [6,3,2,1,4,5,8,7] => 0000010 => 6
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [8,7,4,5,1,2,3,6] => [6,3,2,1,5,4,7,8] => 0000011 => 6
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [6,3,2,1,5,4,8,7] => 0000010 => 6
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [8,7,5,3,2,1,4,6] => [6,4,1,2,3,5,7,8] => 0000011 => 6
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [6,4,2,1,3,5,7,8] => 0000011 => 6
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [7,8,5,3,1,2,4,6] => [6,4,2,1,3,5,8,7] => 0000010 => 6
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [6,4,3,1,2,5,7,8] => 0000011 => 6
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [6,4,3,1,2,5,8,7] => 0000010 => 6
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [6,4,3,2,1,5,7,8] => 0000011 => 6
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [6,4,3,2,1,5,8,7] => 0000010 => 6
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [6,5,1,2,3,4,8,7] => 0000010 => 6
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [8,7,2,3,4,1,5,6] => [6,5,1,4,3,2,7,8] => 0000011 => 6
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [6,5,1,4,3,2,8,7] => 0000010 => 6
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [6,5,3,1,2,4,8,7] => 0000010 => 6
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [6,5,3,2,1,4,7,8] => 0000011 => 6
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [6,5,4,1,2,3,7,8] => 0000011 => 6
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [6,5,4,1,2,3,8,7] => 0000010 => 6
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [8,7,3,1,2,4,5,6] => [6,5,4,2,1,3,7,8] => 0000011 => 6
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [6,5,4,3,1,2,7,8] => 0000011 => 6
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [6,5,4,3,2,1,7,8] => 0000011 => 6
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [6,5,4,3,2,1,8,7] => 0000010 => 6
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,8] => 0000001 => 7
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [7,1,2,3,4,6,5,8] => 0000001 => 7
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [8,5,4,6,3,2,1,7] => [7,1,2,3,6,4,5,8] => 0000001 => 7
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [7,1,2,3,6,5,4,8] => 0000001 => 7
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [8,6,4,3,5,2,1,7] => [7,1,2,5,3,4,6,8] => 0000001 => 7
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [8,5,4,3,6,2,1,7] => [7,1,2,6,3,4,5,8] => 0000001 => 7
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [8,4,5,3,6,2,1,7] => [7,1,2,6,3,5,4,8] => 0000001 => 7
[[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [8,5,3,4,6,2,1,7] => [7,1,2,6,4,3,5,8] => 0000001 => 7
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [7,1,2,6,5,3,4,8] => 0000001 => 7
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [8,3,4,5,6,2,1,7] => [7,1,2,6,5,4,3,8] => 0000001 => 7
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,2,3,1,7] => [7,1,3,2,4,5,6,8] => 0000001 => 7
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,2,3,1,7] => [7,1,3,2,5,4,6,8] => 0000001 => 7
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [8,6,5,3,2,4,1,7] => [7,1,4,2,3,5,6,8] => 0000001 => 7
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [8,6,5,2,3,4,1,7] => [7,1,4,3,2,5,6,8] => 0000001 => 7
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [8,6,4,2,3,5,1,7] => [7,1,5,3,2,4,6,8] => 0000001 => 7
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [7,1,6,2,3,4,5,8] => 0000001 => 7
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [8,4,3,5,2,6,1,7] => [7,1,6,2,5,3,4,8] => 0000001 => 7
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [8,3,4,5,2,6,1,7] => [7,1,6,2,5,4,3,8] => 0000001 => 7
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [7,1,6,4,2,3,5,8] => 0000001 => 7
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [8,3,4,2,5,6,1,7] => [7,1,6,5,2,4,3,8] => 0000001 => 7
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [7,1,6,5,4,2,3,8] => 0000001 => 7
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [7,1,6,5,4,3,2,8] => 0000001 => 7
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [7,2,1,3,4,5,6,8] => 0000001 => 7
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,3,1,2,7] => [7,2,1,3,5,4,6,8] => 0000001 => 7
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [7,2,1,4,3,5,6,8] => 0000001 => 7
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [7,2,1,4,3,6,5,8] => 0000001 => 7
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [8,6,3,4,5,1,2,7] => [7,2,1,5,4,3,6,8] => 0000001 => 7
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [8,4,5,3,6,1,2,7] => [7,2,1,6,3,5,4,8] => 0000001 => 7
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [7,2,1,6,5,4,3,8] => 0000001 => 7
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [7,3,1,2,4,5,6,8] => 0000001 => 7
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,2,1,3,7] => [7,3,1,2,5,4,6,8] => 0000001 => 7
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [7,3,2,1,4,5,6,8] => 0000001 => 7
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [8,5,6,4,1,2,3,7] => [7,3,2,1,4,6,5,8] => 0000001 => 7
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [7,3,2,1,5,4,6,8] => 0000001 => 7
[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [8,5,4,6,1,2,3,7] => [7,3,2,1,6,4,5,8] => 0000001 => 7
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [8,6,5,3,2,1,4,7] => [7,4,1,2,3,5,6,8] => 0000001 => 7
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [7,4,1,3,2,5,6,8] => 0000001 => 7
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [7,4,1,3,2,6,5,8] => 0000001 => 7
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [8,6,5,2,1,3,4,7] => [7,4,3,1,2,5,6,8] => 0000001 => 7
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [7,4,3,1,2,6,5,8] => 0000001 => 7
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [7,4,3,2,1,5,6,8] => 0000001 => 7
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [7,4,3,2,1,6,5,8] => 0000001 => 7
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [7,5,1,2,3,4,6,8] => 0000001 => 7
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [7,5,1,2,4,3,6,8] => 0000001 => 7
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [8,6,4,2,3,1,5,7] => [7,5,1,3,2,4,6,8] => 0000001 => 7
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [7,5,1,4,2,3,6,8] => 0000001 => 7
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [7,5,3,1,2,4,6,8] => 0000001 => 7
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [7,5,3,2,1,4,6,8] => 0000001 => 7
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [8,6,2,3,1,4,5,7] => [7,5,4,1,3,2,6,8] => 0000001 => 7
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [8,6,2,1,3,4,5,7] => [7,5,4,3,1,2,6,8] => 0000001 => 7
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [7,5,4,3,2,1,6,8] => 0000001 => 7
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [7,6,1,2,3,4,5,8] => 0000001 => 7
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [8,4,5,3,2,1,6,7] => [7,6,1,2,3,5,4,8] => 0000001 => 7
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [8,3,4,5,2,1,6,7] => [7,6,1,2,5,4,3,8] => 0000001 => 7
[[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [8,3,4,2,5,1,6,7] => [7,6,1,5,2,4,3,8] => 0000001 => 7
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [8,4,5,2,1,3,6,7] => [7,6,3,1,2,5,4,8] => 0000001 => 7
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [7,6,3,2,1,4,5,8] => 0000001 => 7
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [8,4,5,1,2,3,6,7] => [7,6,3,2,1,5,4,8] => 0000001 => 7
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [7,6,4,2,1,3,5,8] => 0000001 => 7
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [7,6,4,3,1,2,5,8] => 0000001 => 7
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [7,6,4,3,2,1,5,8] => 0000001 => 7
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [7,6,5,1,2,3,4,8] => 0000001 => 7
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [7,6,5,1,2,4,3,8] => 0000001 => 7
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [7,6,5,1,3,2,4,8] => 0000001 => 7
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [8,3,2,4,1,5,6,7] => [7,6,5,1,4,2,3,8] => 0000001 => 7
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [7,6,5,1,4,3,2,8] => 0000001 => 7
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [8,4,3,1,2,5,6,7] => [7,6,5,2,1,3,4,8] => 0000001 => 7
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [7,6,5,2,1,4,3,8] => 0000001 => 7
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [7,6,5,3,2,1,4,8] => 0000001 => 7
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [7,6,5,4,1,2,3,8] => 0000001 => 7
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [7,6,5,4,2,1,3,8] => 0000001 => 7
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [7,6,5,4,3,1,2,8] => 0000001 => 7
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,8] => 0000001 => 7
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7] => 0000000 => 8
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [8,1,2,3,4,5,7,6] => 0000000 => 8
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [8,1,2,3,4,6,5,7] => 0000000 => 8
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [8,1,2,3,4,7,6,5] => 0000000 => 8
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [8,1,2,3,5,4,6,7] => 0000000 => 8
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [7,4,5,6,3,2,1,8] => [8,1,2,3,6,5,4,7] => 0000000 => 8
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [8,1,2,3,7,6,5,4] => 0000000 => 8
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [7,6,5,3,4,2,1,8] => [8,1,2,4,3,5,6,7] => 0000000 => 8
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.] => [6,7,5,3,4,2,1,8] => [8,1,2,4,3,5,7,6] => 0000000 => 8
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [8,1,2,4,3,6,5,7] => 0000000 => 8
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [8,1,2,4,3,7,6,5] => 0000000 => 8
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [8,1,2,5,3,4,6,7] => 0000000 => 8
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [8,1,2,5,4,3,6,7] => 0000000 => 8
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [8,1,2,6,3,4,5,7] => 0000000 => 8
[[.,[.,[[[[.,.],.],.],[.,.]]]],.] => [7,3,4,5,6,2,1,8] => [8,1,2,6,5,4,3,7] => 0000000 => 8
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [8,1,2,7,3,4,5,6] => 0000000 => 8
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [8,1,2,7,3,4,6,5] => 0000000 => 8
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [6,4,5,3,7,2,1,8] => [8,1,2,7,3,5,4,6] => 0000000 => 8
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [8,1,2,7,3,6,4,5] => 0000000 => 8
[[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [4,5,6,3,7,2,1,8] => [8,1,2,7,3,6,5,4] => 0000000 => 8
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [5,6,3,4,7,2,1,8] => [8,1,2,7,4,3,6,5] => 0000000 => 8
[[.,[.,[[[[.,.],.],[.,.]],.]]],.] => [6,3,4,5,7,2,1,8] => [8,1,2,7,5,4,3,6] => 0000000 => 8
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [8,1,2,7,6,3,4,5] => 0000000 => 8
[[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [4,5,3,6,7,2,1,8] => [8,1,2,7,6,3,5,4] => 0000000 => 8
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [8,1,2,7,6,5,4,3] => 0000000 => 8
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [8,1,3,2,4,5,6,7] => 0000000 => 8
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [8,1,3,2,4,5,7,6] => 0000000 => 8
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [8,1,3,2,4,6,5,7] => 0000000 => 8
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [8,1,3,2,4,7,6,5] => 0000000 => 8
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,2,3,1,8] => [8,1,3,2,5,4,6,7] => 0000000 => 8
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [8,1,3,2,5,4,7,6] => 0000000 => 8
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [7,4,5,6,2,3,1,8] => [8,1,3,2,6,5,4,7] => 0000000 => 8
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [4,5,6,7,2,3,1,8] => [8,1,3,2,7,6,5,4] => 0000000 => 8
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [7,6,5,3,2,4,1,8] => [8,1,4,2,3,5,6,7] => 0000000 => 8
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [6,7,5,3,2,4,1,8] => [8,1,4,2,3,5,7,6] => 0000000 => 8
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [7,5,6,3,2,4,1,8] => [8,1,4,2,3,6,5,7] => 0000000 => 8
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [8,1,4,2,3,7,5,6] => 0000000 => 8
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [8,1,4,2,3,7,6,5] => 0000000 => 8
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [8,1,4,3,2,5,6,7] => 0000000 => 8
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [8,1,4,3,2,5,7,6] => 0000000 => 8
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [8,1,4,3,2,6,5,7] => 0000000 => 8
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [8,1,4,3,2,7,5,6] => 0000000 => 8
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [8,1,4,3,2,7,6,5] => 0000000 => 8
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [7,6,4,3,2,5,1,8] => [8,1,5,2,3,4,6,7] => 0000000 => 8
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [6,7,3,4,2,5,1,8] => [8,1,5,2,4,3,7,6] => 0000000 => 8
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [7,6,4,2,3,5,1,8] => [8,1,5,3,2,4,6,7] => 0000000 => 8
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [6,7,4,2,3,5,1,8] => [8,1,5,3,2,4,7,6] => 0000000 => 8
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [8,1,5,4,2,3,6,7] => 0000000 => 8
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [7,6,2,3,4,5,1,8] => [8,1,5,4,3,2,6,7] => 0000000 => 8
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [6,7,2,3,4,5,1,8] => [8,1,5,4,3,2,7,6] => 0000000 => 8
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [8,1,6,2,3,4,5,7] => 0000000 => 8
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [7,4,5,3,2,6,1,8] => [8,1,6,2,3,5,4,7] => 0000000 => 8
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [7,5,3,4,2,6,1,8] => [8,1,6,2,4,3,5,7] => 0000000 => 8
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [7,4,5,2,3,6,1,8] => [8,1,6,3,2,5,4,7] => 0000000 => 8
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [8,1,6,4,2,3,5,7] => 0000000 => 8
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [8,1,6,5,4,3,2,7] => 0000000 => 8
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [8,1,7,2,3,6,4,5] => 0000000 => 8
[[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [4,5,6,3,2,7,1,8] => [8,1,7,2,3,6,5,4] => 0000000 => 8
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [6,5,3,4,2,7,1,8] => [8,1,7,2,4,3,5,6] => 0000000 => 8
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [8,1,7,2,4,3,6,5] => 0000000 => 8
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [8,1,7,2,5,4,3,6] => 0000000 => 8
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [8,1,7,2,6,3,4,5] => 0000000 => 8
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [8,1,7,2,6,3,5,4] => 0000000 => 8
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [8,1,7,2,6,4,3,5] => 0000000 => 8
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [8,1,7,2,6,5,4,3] => 0000000 => 8
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [4,5,6,2,3,7,1,8] => [8,1,7,3,2,6,5,4] => 0000000 => 8
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [8,1,7,4,2,3,5,6] => 0000000 => 8
[[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [5,6,3,2,4,7,1,8] => [8,1,7,4,2,3,6,5] => 0000000 => 8
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [5,6,2,3,4,7,1,8] => [8,1,7,4,3,2,6,5] => 0000000 => 8
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [6,3,4,2,5,7,1,8] => [8,1,7,5,2,4,3,6] => 0000000 => 8
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [8,1,7,5,3,2,4,6] => 0000000 => 8
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [8,1,7,6,2,3,4,5] => 0000000 => 8
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [5,3,4,2,6,7,1,8] => [8,1,7,6,2,4,3,5] => 0000000 => 8
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [8,1,7,6,2,5,4,3] => 0000000 => 8
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [8,1,7,6,5,2,3,4] => 0000000 => 8
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [8,1,7,6,5,2,4,3] => 0000000 => 8
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [8,1,7,6,5,4,2,3] => 0000000 => 8
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [8,1,7,6,5,4,3,2] => 0000000 => 8
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [8,2,1,3,4,5,6,7] => 0000000 => 8
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [8,2,1,3,4,5,7,6] => 0000000 => 8
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,3,1,2,8] => [8,2,1,3,4,6,5,7] => 0000000 => 8
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [7,4,5,6,3,1,2,8] => [8,2,1,3,6,5,4,7] => 0000000 => 8
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [4,5,6,7,3,1,2,8] => [8,2,1,3,7,6,5,4] => 0000000 => 8
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [6,7,5,3,4,1,2,8] => [8,2,1,4,3,5,7,6] => 0000000 => 8
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [7,5,6,3,4,1,2,8] => [8,2,1,4,3,6,5,7] => 0000000 => 8
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [6,5,7,3,4,1,2,8] => [8,2,1,4,3,7,5,6] => 0000000 => 8
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [5,6,7,3,4,1,2,8] => [8,2,1,4,3,7,6,5] => 0000000 => 8
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [6,7,3,4,5,1,2,8] => [8,2,1,5,4,3,7,6] => 0000000 => 8
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [7,5,4,3,6,1,2,8] => [8,2,1,6,3,4,5,7] => 0000000 => 8
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [7,5,3,4,6,1,2,8] => [8,2,1,6,4,3,5,7] => 0000000 => 8
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [7,4,3,5,6,1,2,8] => [8,2,1,6,5,3,4,7] => 0000000 => 8
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [6,5,4,3,7,1,2,8] => [8,2,1,7,3,4,5,6] => 0000000 => 8
[[[.,.],[[.,[[.,.],[.,.]]],.]],.] => [6,4,5,3,7,1,2,8] => [8,2,1,7,3,5,4,6] => 0000000 => 8
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [6,5,3,4,7,1,2,8] => [8,2,1,7,4,3,5,6] => 0000000 => 8
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [6,4,3,5,7,1,2,8] => [8,2,1,7,5,3,4,6] => 0000000 => 8
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [5,4,3,6,7,1,2,8] => [8,2,1,7,6,3,4,5] => 0000000 => 8
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [4,5,3,6,7,1,2,8] => [8,2,1,7,6,3,5,4] => 0000000 => 8
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [5,3,4,6,7,1,2,8] => [8,2,1,7,6,4,3,5] => 0000000 => 8
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [4,3,5,6,7,1,2,8] => [8,2,1,7,6,5,3,4] => 0000000 => 8
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [8,2,1,7,6,5,4,3] => 0000000 => 8
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [8,3,1,2,4,5,6,7] => 0000000 => 8
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [6,7,4,5,2,1,3,8] => [8,3,1,2,5,4,7,6] => 0000000 => 8
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [8,3,1,2,6,4,5,7] => 0000000 => 8
[[[.,[.,.]],[[[.,.],.],[.,.]]],.] => [7,4,5,6,2,1,3,8] => [8,3,1,2,6,5,4,7] => 0000000 => 8
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [5,4,6,7,2,1,3,8] => [8,3,1,2,7,6,4,5] => 0000000 => 8
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [4,5,6,7,2,1,3,8] => [8,3,1,2,7,6,5,4] => 0000000 => 8
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [8,3,2,1,4,5,6,7] => 0000000 => 8
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [6,7,5,4,1,2,3,8] => [8,3,2,1,4,5,7,6] => 0000000 => 8
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [7,5,6,4,1,2,3,8] => [8,3,2,1,4,6,5,7] => 0000000 => 8
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [8,3,2,1,4,7,6,5] => 0000000 => 8
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [7,6,4,5,1,2,3,8] => [8,3,2,1,5,4,6,7] => 0000000 => 8
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [6,7,4,5,1,2,3,8] => [8,3,2,1,5,4,7,6] => 0000000 => 8
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,1,2,3,8] => [8,3,2,1,6,4,5,7] => 0000000 => 8
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [7,4,5,6,1,2,3,8] => [8,3,2,1,6,5,4,7] => 0000000 => 8
[[[[.,.],.],[[.,[.,[.,.]]],.]],.] => [6,5,4,7,1,2,3,8] => [8,3,2,1,7,4,5,6] => 0000000 => 8
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [8,3,2,1,7,4,6,5] => 0000000 => 8
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [8,3,2,1,7,6,4,5] => 0000000 => 8
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [8,3,2,1,7,6,5,4] => 0000000 => 8
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [7,6,5,3,2,1,4,8] => [8,4,1,2,3,5,6,7] => 0000000 => 8
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [6,5,7,3,2,1,4,8] => [8,4,1,2,3,7,5,6] => 0000000 => 8
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [6,7,5,3,1,2,4,8] => [8,4,2,1,3,5,7,6] => 0000000 => 8
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [7,5,6,3,1,2,4,8] => [8,4,2,1,3,6,5,7] => 0000000 => 8
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [6,5,7,3,1,2,4,8] => [8,4,2,1,3,7,5,6] => 0000000 => 8
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [8,4,2,1,3,7,6,5] => 0000000 => 8
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [6,7,5,2,1,3,4,8] => [8,4,3,1,2,5,7,6] => 0000000 => 8
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [8,4,3,1,2,7,6,5] => 0000000 => 8
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [8,4,3,2,1,5,6,7] => 0000000 => 8
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [8,4,3,2,1,5,7,6] => 0000000 => 8
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [8,4,3,2,1,6,5,7] => 0000000 => 8
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [8,4,3,2,1,7,5,6] => 0000000 => 8
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [8,4,3,2,1,7,6,5] => 0000000 => 8
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [7,6,4,3,2,1,5,8] => [8,5,1,2,3,4,6,7] => 0000000 => 8
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.] => [7,6,3,4,2,1,5,8] => [8,5,1,2,4,3,6,7] => 0000000 => 8
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [7,6,4,2,3,1,5,8] => [8,5,1,3,2,4,6,7] => 0000000 => 8
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [6,7,4,2,3,1,5,8] => [8,5,1,3,2,4,7,6] => 0000000 => 8
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [7,6,3,2,4,1,5,8] => [8,5,1,4,2,3,6,7] => 0000000 => 8
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [6,7,3,2,4,1,5,8] => [8,5,1,4,2,3,7,6] => 0000000 => 8
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [8,5,2,1,3,4,6,7] => 0000000 => 8
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [6,7,3,4,1,2,5,8] => [8,5,2,1,4,3,7,6] => 0000000 => 8
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [6,7,4,2,1,3,5,8] => [8,5,3,1,2,4,7,6] => 0000000 => 8
[[[[.,[[.,.],.]],.],[.,[.,.]]],.] => [7,6,2,3,1,4,5,8] => [8,5,4,1,3,2,6,7] => 0000000 => 8
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [6,7,2,3,1,4,5,8] => [8,5,4,1,3,2,7,6] => 0000000 => 8
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [7,6,3,1,2,4,5,8] => [8,5,4,2,1,3,6,7] => 0000000 => 8
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [6,7,3,1,2,4,5,8] => [8,5,4,2,1,3,7,6] => 0000000 => 8
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [8,5,4,3,2,1,6,7] => 0000000 => 8
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [8,5,4,3,2,1,7,6] => 0000000 => 8
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [7,5,4,3,2,1,6,8] => [8,6,1,2,3,4,5,7] => 0000000 => 8
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [7,5,3,4,2,1,6,8] => [8,6,1,2,4,3,5,7] => 0000000 => 8
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [8,6,1,4,2,3,5,7] => 0000000 => 8
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [7,5,2,3,4,1,6,8] => [8,6,1,4,3,2,5,7] => 0000000 => 8
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [7,3,4,2,5,1,6,8] => [8,6,1,5,2,4,3,7] => 0000000 => 8
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [7,4,2,3,5,1,6,8] => [8,6,1,5,3,2,4,7] => 0000000 => 8
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [8,6,1,5,4,3,2,7] => 0000000 => 8
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [7,4,5,3,1,2,6,8] => [8,6,2,1,3,5,4,7] => 0000000 => 8
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [7,5,3,4,1,2,6,8] => [8,6,2,1,4,3,5,7] => 0000000 => 8
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [7,4,3,5,1,2,6,8] => [8,6,2,1,5,3,4,7] => 0000000 => 8
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [7,3,4,5,1,2,6,8] => [8,6,2,1,5,4,3,7] => 0000000 => 8
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [7,5,4,1,2,3,6,8] => [8,6,3,2,1,4,5,7] => 0000000 => 8
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [7,4,5,1,2,3,6,8] => [8,6,3,2,1,5,4,7] => 0000000 => 8
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [7,5,2,3,1,4,6,8] => [8,6,4,1,3,2,5,7] => 0000000 => 8
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [8,6,4,2,1,3,5,7] => 0000000 => 8
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [8,6,4,3,2,1,5,7] => 0000000 => 8
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [8,6,5,1,2,3,4,7] => 0000000 => 8
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [7,4,2,3,1,5,6,8] => [8,6,5,1,3,2,4,7] => 0000000 => 8
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [7,2,3,4,1,5,6,8] => [8,6,5,1,4,3,2,7] => 0000000 => 8
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [7,3,4,1,2,5,6,8] => [8,6,5,2,1,4,3,7] => 0000000 => 8
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [8,6,5,3,2,1,4,7] => 0000000 => 8
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [8,6,5,4,1,2,3,7] => 0000000 => 8
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [7,3,1,2,4,5,6,8] => [8,6,5,4,2,1,3,7] => 0000000 => 8
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [8,6,5,4,3,1,2,7] => 0000000 => 8
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [8,6,5,4,3,2,1,7] => 0000000 => 8
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [8,7,1,2,3,4,5,6] => 0000000 => 8
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [8,7,1,2,3,6,4,5] => 0000000 => 8
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [8,7,1,2,3,6,5,4] => 0000000 => 8
[[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [6,3,4,5,2,1,7,8] => [8,7,1,2,5,4,3,6] => 0000000 => 8
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [8,7,1,2,6,3,4,5] => 0000000 => 8
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [8,7,1,2,6,5,4,3] => 0000000 => 8
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.] => [6,5,4,2,3,1,7,8] => [8,7,1,3,2,4,5,6] => 0000000 => 8
[[[.,[[.,.],[.,[[.,.],.]]]],.],.] => [5,6,4,2,3,1,7,8] => [8,7,1,3,2,4,6,5] => 0000000 => 8
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [6,4,5,2,3,1,7,8] => [8,7,1,3,2,5,4,6] => 0000000 => 8
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [5,4,6,2,3,1,7,8] => [8,7,1,3,2,6,4,5] => 0000000 => 8
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [8,7,1,6,2,3,4,5] => 0000000 => 8
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [8,7,1,6,2,3,5,4] => 0000000 => 8
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [8,7,1,6,2,5,3,4] => 0000000 => 8
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [8,7,1,6,2,5,4,3] => 0000000 => 8
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [4,2,3,5,6,1,7,8] => [8,7,1,6,5,3,2,4] => 0000000 => 8
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [8,7,1,6,5,4,3,2] => 0000000 => 8
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [8,7,2,1,3,4,5,6] => 0000000 => 8
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [8,7,2,1,3,4,6,5] => 0000000 => 8
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [8,7,2,1,3,6,4,5] => 0000000 => 8
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [4,5,6,3,1,2,7,8] => [8,7,2,1,3,6,5,4] => 0000000 => 8
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [6,5,3,4,1,2,7,8] => [8,7,2,1,4,3,5,6] => 0000000 => 8
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [8,7,2,1,4,3,6,5] => 0000000 => 8
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [6,4,3,5,1,2,7,8] => [8,7,2,1,5,3,4,6] => 0000000 => 8
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [6,3,4,5,1,2,7,8] => [8,7,2,1,5,4,3,6] => 0000000 => 8
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [8,7,2,1,6,3,4,5] => 0000000 => 8
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [8,7,2,1,6,5,4,3] => 0000000 => 8
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [8,7,3,1,2,4,6,5] => 0000000 => 8
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [5,4,6,2,1,3,7,8] => [8,7,3,1,2,6,4,5] => 0000000 => 8
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [8,7,3,2,1,4,5,6] => 0000000 => 8
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [5,6,4,1,2,3,7,8] => [8,7,3,2,1,4,6,5] => 0000000 => 8
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [8,7,3,2,1,6,5,4] => 0000000 => 8
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [6,5,3,2,1,4,7,8] => [8,7,4,1,2,3,5,6] => 0000000 => 8
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [8,7,4,1,2,3,6,5] => 0000000 => 8
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [5,6,2,3,1,4,7,8] => [8,7,4,1,3,2,6,5] => 0000000 => 8
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [6,5,3,1,2,4,7,8] => [8,7,4,2,1,3,5,6] => 0000000 => 8
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [5,6,3,1,2,4,7,8] => [8,7,4,2,1,3,6,5] => 0000000 => 8
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [6,5,1,2,3,4,7,8] => [8,7,4,3,2,1,5,6] => 0000000 => 8
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [5,6,1,2,3,4,7,8] => [8,7,4,3,2,1,6,5] => 0000000 => 8
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [6,4,3,2,1,5,7,8] => [8,7,5,1,2,3,4,6] => 0000000 => 8
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [6,3,2,4,1,5,7,8] => [8,7,5,1,4,2,3,6] => 0000000 => 8
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [6,2,3,4,1,5,7,8] => [8,7,5,1,4,3,2,6] => 0000000 => 8
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [8,7,5,2,1,3,4,6] => 0000000 => 8
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [8,7,5,3,2,1,4,6] => 0000000 => 8
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [8,7,5,4,1,2,3,6] => 0000000 => 8
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [6,2,3,1,4,5,7,8] => [8,7,5,4,1,3,2,6] => 0000000 => 8
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [6,2,1,3,4,5,7,8] => [8,7,5,4,3,1,2,6] => 0000000 => 8
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [8,7,5,4,3,2,1,6] => 0000000 => 8
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [8,7,6,1,2,3,4,5] => 0000000 => 8
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [8,7,6,1,2,3,5,4] => 0000000 => 8
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [8,7,6,1,2,4,3,5] => 0000000 => 8
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [8,7,6,1,2,5,3,4] => 0000000 => 8
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [8,7,6,1,2,5,4,3] => 0000000 => 8
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [8,7,6,1,3,2,4,5] => 0000000 => 8
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [8,7,6,1,3,2,5,4] => 0000000 => 8
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [8,7,6,1,4,2,3,5] => 0000000 => 8
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [8,7,6,1,4,3,2,5] => 0000000 => 8
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [8,7,6,1,5,2,3,4] => 0000000 => 8
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [8,7,6,1,5,2,4,3] => 0000000 => 8
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [8,7,6,1,5,3,2,4] => 0000000 => 8
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [8,7,6,1,5,4,2,3] => 0000000 => 8
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [8,7,6,1,5,4,3,2] => 0000000 => 8
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [8,7,6,2,1,3,4,5] => 0000000 => 8
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [5,3,4,1,2,6,7,8] => [8,7,6,2,1,4,3,5] => 0000000 => 8
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [8,7,6,3,1,2,4,5] => 0000000 => 8
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [8,7,6,3,2,1,4,5] => 0000000 => 8
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [8,7,6,4,1,2,3,5] => 0000000 => 8
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [8,7,6,4,1,3,2,5] => 0000000 => 8
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [8,7,6,4,2,1,3,5] => 0000000 => 8
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [8,7,6,4,3,1,2,5] => 0000000 => 8
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [8,7,6,4,3,2,1,5] => 0000000 => 8
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [8,7,6,5,1,2,3,4] => 0000000 => 8
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [8,7,6,5,1,3,2,4] => 0000000 => 8
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [8,7,6,5,1,4,2,3] => 0000000 => 8
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [8,7,6,5,1,4,3,2] => 0000000 => 8
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [8,7,6,5,2,1,3,4] => 0000000 => 8
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [8,7,6,5,2,1,4,3] => 0000000 => 8
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [8,7,6,5,3,1,2,4] => 0000000 => 8
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [8,7,6,5,3,2,1,4] => 0000000 => 8
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [8,7,6,5,4,1,2,3] => 0000000 => 8
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [8,7,6,5,4,1,3,2] => 0000000 => 8
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [8,7,6,5,4,2,1,3] => 0000000 => 8
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [8,7,6,5,4,3,1,2] => 0000000 => 8
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => 0000000 => 8
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => 11111111 => 1
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8] => 11111110 => 1
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [1,2,3,4,5,6,9,8,7] => 11111100 => 1
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [1,2,3,4,5,9,8,7,6] => 11111000 => 1
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [1,2,3,4,9,8,7,6,5] => 11110000 => 1
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [1,2,3,9,8,7,6,5,4] => 11100000 => 1
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [1,2,9,8,7,6,5,4,3] => 11000000 => 1
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,3,2] => 10000000 => 1
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1] => 00000000 => 9
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => 111111111 => 1
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,10,9] => 111111110 => 1
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [9,7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,7,9] => 11111101 => 1
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,10,9,8] => 111111100 => 1
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [8,9,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,9,8] => 11111010 => 1
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [1,2,3,4,5,6,10,9,8,7] => 111111000 => 1
[.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]] => [7,8,9,5,6,4,3,2,1] => [1,2,3,4,6,5,9,8,7] => 11110100 => 1
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [1,2,3,4,5,10,9,8,7,6] => 111110000 => 1
[.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]] => [6,7,8,9,4,5,3,2,1] => [1,2,3,5,4,9,8,7,6] => 11101000 => 1
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [1,2,3,4,10,9,8,7,6,5] => 111100000 => 1
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [5,6,7,8,9,3,4,2,1] => [1,2,4,3,9,8,7,6,5] => 11010000 => 1
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [1,2,3,10,9,8,7,6,5,4] => 111000000 => 1
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [4,5,6,7,8,9,2,3,1] => [1,3,2,9,8,7,6,5,4] => 10100000 => 1
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [1,2,10,9,8,7,6,5,4,3] => 110000000 => 1
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,1,2] => [2,1,9,8,7,6,5,4,3] => 01000000 => 2
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [1,10,9,8,7,6,5,4,3,2] => 100000000 => 1
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => 000000000 => 10
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [1,2,3,4,5,6,9,7,8] => 11111100 => 1
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [1,2,3,4,5,9,6,7,8] => 11111000 => 1
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [1,2,3,4,9,5,6,7,8] => 11110000 => 1
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [1,2,3,9,4,5,6,7,8] => 11100000 => 1
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [1,2,9,3,4,5,6,7,8] => 11000000 => 1
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [1,9,2,3,4,5,6,7,8] => 10000000 => 1
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,7,8] => 00000000 => 9
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,10,8,9] => 111111100 => 1
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [1,2,3,4,5,6,10,7,8,9] => 111111000 => 1
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [1,2,3,4,5,10,6,7,8,9] => 111110000 => 1
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [1,2,3,4,10,5,6,7,8,9] => 111100000 => 1
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [1,2,3,10,4,5,6,7,8,9] => 111000000 => 1
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [1,2,10,3,4,5,6,7,8,9] => 110000000 => 1
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [9,2,1,3,4,5,6,7,8] => 00000000 => 9
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [1,10,2,3,4,5,6,7,8,9] => 100000000 => 1
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [10,1,2,3,4,5,6,7,8,9] => 000000000 => 10
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7,10,9] => 010101010 => 2
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [11,12,9,10,7,8,5,6,3,4,1,2] => [2,1,4,3,6,5,8,7,10,9,12,11] => 01010101010 => 2
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [10,8,6,4,2,1,3,5,7,9] => [9,7,5,3,1,2,4,6,8,10] => 000000001 => 9
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1,9] => 00000001 => 8
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1,10] => 000000001 => 9
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [8,7,6,5,4,3,1,2,9] => 00000001 => 8
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,2,3] => 10000000 => 1
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1,11] => 0000000001 => 10
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,1,2,10] => 000000001 => 9
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [8,7,6,5,4,2,1,3,9] => 00000001 => 8
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [4,2,3,5,6,7,8,9,1] => [1,9,8,7,6,5,3,2,4] => 10000000 => 1
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [1,9,8,7,6,5,2,4,3] => 10000000 => 1
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [1,10,9,8,7,6,5,4,2,3] => 100000000 => 1
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [1,11,10,9,8,7,6,5,4,3,2] => 1000000000 => 1
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,9,8] => 00000010 => 7
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [7,8,9,1,2,3,4,5,6] => [6,5,4,3,2,1,9,8,7] => 00000100 => 6
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [6,7,8,9,1,2,3,4,5] => [5,4,3,2,1,9,8,7,6] => 00001000 => 5
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [5,6,7,8,9,1,2,3,4] => [4,3,2,1,9,8,7,6,5] => 00010000 => 4
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [4,5,6,7,8,9,1,2,3] => [3,2,1,9,8,7,6,5,4] => 00100000 => 3
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,8,9] => 00000011 => 7
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1,10,9] => 000000010 => 8
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [8,9,10,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,10,9,8] => 000000100 => 7
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [7,8,9,10,1,2,3,4,5,6] => [6,5,4,3,2,1,10,9,8,7] => 000001000 => 6
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,1,2,3,4,5] => [5,4,3,2,1,10,9,8,7,6] => 000010000 => 5
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [5,6,7,8,9,10,1,2,3,4] => [4,3,2,1,10,9,8,7,6,5] => 000100000 => 4
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [4,5,6,7,8,9,10,1,2,3] => [3,2,1,10,9,8,7,6,5,4] => 001000000 => 3
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,10,1,2] => [2,1,10,9,8,7,6,5,4,3] => 010000000 => 2
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,9] => 01111111 => 2
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [8,9,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,9,8] => 01111110 => 2
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,9,10] => 011111111 => 2
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [11,1,2,3,4,5,6,7,8,9,10] => 0000000000 => 11
[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.] => [8,6,7,5,4,3,2,1,9] => [9,1,2,3,4,5,7,6,8] => 00000000 => 9
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [8,7,9,6,5,4,3,1,2] => [2,1,3,4,5,6,9,7,8] => 01111100 => 2
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [9,7,8,6,5,4,3,1,2] => [2,1,3,4,5,6,8,7,9] => 01111101 => 2
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [9,10,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,10,9] => 011111110 => 2
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [11,10,9,8,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,8,9,10,11] => 0111111111 => 2
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,2,1,3] => [3,1,2,4,5,6,7,8,9] => 00111111 => 3
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,3,2,1,4] => [4,1,2,3,5,6,7,8,9] => 00011111 => 4
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [9,8,7,6,4,3,2,1,5] => [5,1,2,3,4,6,7,8,9] => 00001111 => 5
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [9,8,7,5,4,3,2,1,6] => [6,1,2,3,4,5,7,8,9] => 00000111 => 6
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [9,8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,8,9] => 00000011 => 7
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7,9] => 00000001 => 8
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => [3,2,1,4,5,6,7,8,9] => 00111111 => 3
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,2,1,3] => [3,1,2,4,5,6,7,8,9,10] => 001111111 => 3
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,3,2,1,4] => [4,1,2,3,5,6,7,8,9,10] => 000111111 => 4
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,4,3,2,1,5] => [5,1,2,3,4,6,7,8,9,10] => 000011111 => 5
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [10,9,8,7,5,4,3,2,1,6] => [6,1,2,3,4,5,7,8,9,10] => 000001111 => 6
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [10,9,8,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,8,9,10] => 000000111 => 7
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [10,9,7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7,9,10] => 000000011 => 8
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,7,8,10] => 000000001 => 9
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [9,8,1,2,3,4,5,6,7] => 00000000 => 9
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [9,8,7,1,2,3,4,5,6] => 00000000 => 9
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [9,8,7,6,1,2,3,4,5] => 00000000 => 9
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [9,8,7,6,5,1,2,3,4] => 00000000 => 9
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [9,8,7,6,5,4,1,2,3] => 00000000 => 9
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,1,2] => 00000000 => 9
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [10,9,1,2,3,4,5,6,7,8] => 000000000 => 10
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [10,9,8,1,2,3,4,5,6,7] => 000000000 => 10
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [10,9,8,7,1,2,3,4,5,6] => 000000000 => 10
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [10,9,8,7,6,1,2,3,4,5] => 000000000 => 10
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [10,9,8,7,6,5,1,2,3,4] => 000000000 => 10
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [4,3,1,2,5,6,7,8,9] => [9,8,7,6,5,2,1,3,4] => 00000000 => 9
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,1,2,3] => 000000000 => 10
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [9,8,7,6,5,4,2,1,3] => 00000000 => 9
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,1,2] => 000000000 => 10
[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] => [9,8,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,8,9] => 11111011 => 1
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [9,8,7,5,6,4,3,2,1] => [1,2,3,4,6,5,7,8,9] => 11110111 => 1
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,4,5,3,2,1] => [1,2,3,5,4,6,7,8,9] => 11101111 => 1
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,3,4,2,1] => [1,2,4,3,5,6,7,8,9] => 11011111 => 1
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,8,9] => 10111111 => 1
[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] => [10,8,9,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8,10] => 111111101 => 1
[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]] => [10,9,7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,7,9,10] => 111111011 => 1
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [10,9,8,6,7,5,4,3,2,1] => [1,2,3,4,5,7,6,8,9,10] => 111110111 => 1
[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,5,6,4,3,2,1] => [1,2,3,4,6,5,7,8,9,10] => 111101111 => 1
[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,4,5,3,2,1] => [1,2,3,5,4,6,7,8,9,10] => 111011111 => 1
[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,3,4,2,1] => [1,2,4,3,5,6,7,8,9,10] => 110111111 => 1
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,8,9,10] => 101111111 => 1
[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] => [10,8,9,6,7,4,5,2,3,1] => [1,3,2,5,4,7,6,9,8,10] => 101010101 => 1
[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] => [10,8,9,6,7,4,5,2,1,3] => [3,1,2,5,4,7,6,9,8,10] => 001010101 => 3
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [9,2,3,4,5,6,7,8,1] => [1,8,7,6,5,4,3,2,9] => 10000001 => 1
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [11,10,9,8,7,6,5,4,3,1,2] => 0000000000 => 11
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [8,2,1,3,4,5,6,7,9] => [9,7,6,5,4,3,1,2,8] => 00000000 => 9
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [8,2,3,4,5,6,7,9,1] => [1,9,7,6,5,4,3,2,8] => 10000000 => 1
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [8,9,2,3,4,5,6,7,1] => [1,7,6,5,4,3,2,9,8] => 10000010 => 1
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [10,2,3,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,3,2,10] => 100000001 => 1
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [4,2,1,3,5,6,7,8,9] => [9,8,7,6,5,3,1,2,4] => 00000000 => 9
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [5,3,2,1,4,6,7,8,9] => [9,8,7,6,4,1,2,3,5] => 00000000 => 9
[[[[[.,[.,[.,[.,.]]]],[.,.]],.],.],.] => [6,4,3,2,1,5,7,8,9] => [9,8,7,5,1,2,3,4,6] => 00000000 => 9
[[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.] => [7,5,4,3,2,1,6,8,9] => [9,8,6,1,2,3,4,5,7] => 00000000 => 9
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [8,6,5,4,3,2,1,7,9] => [9,7,1,2,3,4,5,6,8] => 00000000 => 9
[.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]] => [7,8,6,9,5,4,3,2,1] => [1,2,3,4,5,9,6,8,7] => 11111000 => 1
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [1,9,2,8,7,6,5,4,3] => 10000000 => 1
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [9,1,8,7,6,5,4,3,2] => 00000000 => 9
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [9,8,7,6,5,4,1,3,2] => 00000000 => 9
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [9,8,1,7,6,5,4,3,2] => 00000000 => 9
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [10,1,9,8,7,6,5,4,3,2] => 000000000 => 10
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9] => [9,8,7,6,5,3,2,1,4] => 00000000 => 9
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [5,1,2,3,4,6,7,8,9] => [9,8,7,6,4,3,2,1,5] => 00000000 => 9
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [6,1,2,3,4,5,7,8,9] => [9,8,7,5,4,3,2,1,6] => 00000000 => 9
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [9,8,6,5,4,3,2,1,7] => 00000000 => 9
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [9,7,6,5,4,3,2,1,8] => 00000000 => 9
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,2,1,3] => 000000000 => 10
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [10,9,8,7,6,5,3,2,1,4] => 000000000 => 10
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [5,1,2,3,4,6,7,8,9,10] => [10,9,8,7,6,4,3,2,1,5] => 000000000 => 10
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [10,9,8,7,5,4,3,2,1,6] => 000000000 => 10
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [7,1,2,3,4,5,6,8,9,10] => [10,9,8,6,5,4,3,2,1,7] => 000000000 => 10
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [8,1,2,3,4,5,6,7,9,10] => [10,9,7,6,5,4,3,2,1,8] => 000000000 => 10
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [10,8,7,6,5,4,3,2,1,9] => 000000000 => 10
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [9,3,4,5,6,7,8,1,2] => [2,1,8,7,6,5,4,3,9] => 01000001 => 2
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [9,7,6,5,4,3,2,8,1] => [1,8,2,3,4,5,6,7,9] => 10000001 => 1
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [9,7,6,5,4,3,1,2,8] => [8,2,1,3,4,5,6,7,9] => 00000001 => 8
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [8,9,6,5,4,3,2,1,7] => [7,1,2,3,4,5,6,9,8] => 00000010 => 7
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [11,10,9,8,7,6,5,4,3,2,1] => 0000000000 => 11
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => [3,2,1,4,5,6,7,8,9,10] => 001111111 => 3
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [8,7,6,5,4,2,1,3,9] => [9,3,1,2,4,5,6,7,8] => 00000000 => 9
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [10,2,1,3,4,5,6,7,8,9] => 000000000 => 10
[.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]] => [8,7,9,6,5,4,2,3,1] => [1,3,2,4,5,6,9,7,8] => 10111100 => 1
[.,[[[[[[[.,.],.],.],.],[.,.]],.],.]] => [7,2,3,4,5,6,8,9,1] => [1,9,8,6,5,4,3,2,7] => 10000000 => 1
[.,[[[[[[.,.],.],.],.],[[.,.],.]],.]] => [7,8,2,3,4,5,6,9,1] => [1,9,6,5,4,3,2,8,7] => 10000000 => 1
[.,[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]] => [6,2,3,4,5,7,8,9,10,1] => [1,10,9,8,7,5,4,3,2,6] => 100000000 => 1
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [10,8,7,6,5,4,3,2,9,1] => [1,9,2,3,4,5,6,7,8,10] => 100000001 => 1
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [3,4,5,6,7,8,1,2,9] => [9,2,1,8,7,6,5,4,3] => 00000000 => 9
[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] => [8,9,7,6,5,4,2,1,3] => [3,1,2,4,5,6,7,9,8] => 00111110 => 3
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1,9,10] => 000000011 => 8
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] => [10,9,8,7,6,5,4,3,2,11,1] => [1,11,2,3,4,5,6,7,8,9,10] => 1000000000 => 1
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => [6,5,4,3,2,1,7,8,9] => 00000111 => 6
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => [5,4,3,2,1,6,7,8,9] => 00001111 => 5
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => [4,3,2,1,5,6,7,8,9] => 00011111 => 4
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [9,7,1,2,3,4,5,6,8] => [8,6,5,4,3,2,1,7,9] => 00000001 => 8
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => [7,6,5,4,3,2,1,8,9,10] => 000000111 => 7
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => [6,5,4,3,2,1,7,8,9,10] => 000001111 => 6
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => [5,4,3,2,1,6,7,8,9,10] => 000011111 => 5
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => [4,3,2,1,5,6,7,8,9,10] => 000111111 => 4
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [10,8,1,2,3,4,5,6,7,9] => [9,7,6,5,4,3,2,1,8,10] => 000000001 => 9
[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [9,8,10,7,6,5,4,3,1,2] => [2,1,3,4,5,6,7,10,8,9] => 011111100 => 2
[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] => [8,9,7,6,5,4,2,3,1] => [1,3,2,4,5,6,7,9,8] => 10111110 => 1
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,11,10] => 1111111110 => 1
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [1,9,2,3,4,5,6,8,7] => 10000000 => 1
[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]] => [8,9,7,6,5,4,3,2,10,1] => [1,10,2,3,4,5,6,7,9,8] => 100000000 => 1
[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.] => [8,7,1,2,3,4,5,6,9] => [9,6,5,4,3,2,1,7,8] => 00000000 => 9
[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [8,7,6,5,4,3,9,1,2] => [2,1,9,3,4,5,6,7,8] => 01000000 => 2
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [3,4,1,2,5,6,7,8,9] => [9,8,7,6,5,2,1,4,3] => 00000000 => 9
[.,[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]] => [4,5,6,7,8,9,10,2,3,1] => [1,3,2,10,9,8,7,6,5,4] => 101000000 => 1
[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]] => [10,11,1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1,11,10] => 0000000010 => 9
[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] => [10,3,1,2,4,5,6,7,8,9] => [9,8,7,6,5,4,2,1,3,10] => 000000001 => 9
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]] => [11,9,10,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,10,9,11] => 1111111101 => 1
[.,[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]] => [9,7,8,5,6,4,3,2,1] => [1,2,3,4,6,5,8,7,9] => 11110101 => 1
[.,[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]] => [8,9,6,5,7,4,3,2,1] => [1,2,3,4,7,5,6,9,8] => 11110010 => 1
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The position of the first one in a binary word after appending a 1 at the end.
Regarding the binary word as a subset of {1,…,n,n+1} that contains n+1, this is the minimal element of the set.
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation σ of length n is given by τ with τ(i)=σ(n+1−i).
Map
connectivity set
Description
The connectivity set of a permutation as a binary word.
According to [2], also known as the global ascent set.
The connectivity set is
C(π)={i∈[n−1]|∀1≤j≤i<k≤n:π(j)<π(k)}.
For n>1 it can also be described as the set of occurrences of the mesh pattern
([1,2],{(0,2),(1,0),(1,1),(2,0),(2,1)})
or equivalently
([1,2],{(0,1),(0,2),(1,1),(1,2),(2,0)}),
see [3].
The permutation is connected, when the connectivity set is empty.
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.