Processing math: 100%

Identifier
Values
[.,[.,.]] => [1,0,1,0] => [1] => 10 => 0
[.,[.,[.,.]]] => [1,0,1,0,1,0] => [2,1] => 1010 => 0
[.,[[.,.],.]] => [1,0,1,1,0,0] => [1,1] => 110 => 0
[[.,[.,.]],.] => [1,1,0,0,1,0] => [2] => 100 => 0
[[[.,.],.],.] => [1,1,0,1,0,0] => [1] => 10 => 0
[.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => [3,2,1] => 101010 => 0
[.,[.,[[.,.],.]]] => [1,0,1,0,1,1,0,0] => [2,2,1] => 11010 => 0
[.,[[.,.],[.,.]]] => [1,0,1,1,1,0,0,0] => [1,1,1] => 1110 => 0
[.,[[.,[.,.]],.]] => [1,0,1,1,0,0,1,0] => [3,1,1] => 100110 => 0
[.,[[[.,.],.],.]] => [1,0,1,1,0,1,0,0] => [2,1,1] => 10110 => 0
[[.,.],[.,[.,.]]] => [1,1,1,0,0,0,1,0] => [3] => 1000 => 0
[[.,.],[[.,.],.]] => [1,1,1,0,0,1,0,0] => [2] => 100 => 0
[[.,[.,.]],[.,.]] => [1,1,1,0,1,0,0,0] => [1] => 10 => 0
[[.,[.,[.,.]]],.] => [1,1,0,0,1,0,1,0] => [3,2] => 10100 => 0
[[.,[[.,.],.]],.] => [1,1,0,0,1,1,0,0] => [2,2] => 1100 => 0
[[[.,.],[.,.]],.] => [1,1,0,1,1,0,0,0] => [1,1] => 110 => 0
[[[.,[.,.]],.],.] => [1,1,0,1,0,0,1,0] => [3,1] => 10010 => 0
[[[[.,.],.],.],.] => [1,1,0,1,0,1,0,0] => [2,1] => 1010 => 0
[.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 10101010 => 0
[.,[.,[.,[[.,.],.]]]] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 1101010 => 0
[.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 111010 => 0
[.,[.,[[.,[.,.]],.]]] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 10011010 => 0
[.,[.,[[[.,.],.],.]]] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 1011010 => 0
[.,[[.,.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 10001110 => 0
[.,[[.,.],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 1001110 => 0
[.,[[.,[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 101110 => 0
[.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 11110 => 0
[.,[[.,[.,[.,.]]],.]] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 10100110 => 0
[.,[[.,[[.,.],.]],.]] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1100110 => 0
[.,[[[.,.],[.,.]],.]] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 110110 => 0
[.,[[[.,[.,.]],.],.]] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 10010110 => 0
[.,[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 1010110 => 0
[[.,.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 101000 => 0
[[.,.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 11000 => 0
[[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 1100 => 0
[[.,.],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 100100 => 0
[[.,.],[[[.,.],.],.]] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 10100 => 0
[[.,[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 100010 => 0
[[.,[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 10010 => 0
[[[.,.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0] => [4] => 10000 => 0
[[[.,.],.],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0] => [3] => 1000 => 0
[[.,[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1010 => 0
[[.,[[.,.],.]],[.,.]] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 110 => 0
[[[.,[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0] => [2] => 100 => 0
[[[[.,.],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0] => [1] => 10 => 0
[[.,[.,[.,[.,.]]]],.] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 1010100 => 0
[[.,[.,[[.,.],.]]],.] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 110100 => 0
[[.,[[.,.],[.,.]]],.] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 11100 => 0
[[.,[[.,[.,.]],.]],.] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1001100 => 0
[[.,[[[.,.],.],.]],.] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 101100 => 0
[[[.,.],[.,[.,.]]],.] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 1000110 => 0
[[[.,.],[[.,.],.]],.] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 100110 => 0
[[[.,[.,.]],[.,.]],.] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 10110 => 0
[[[[.,.],.],[.,.]],.] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 1110 => 0
[[[.,[.,[.,.]]],.],.] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 1010010 => 0
[[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 110010 => 0
[[[[.,.],[.,.]],.],.] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 11010 => 0
[[[[.,[.,.]],.],.],.] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 1001010 => 0
[[[[[.,.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 101010 => 0
[.,[.,[.,[.,[[.,.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 110101010 => 0
[.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 11101010 => 0
[.,[.,[.,[[[.,.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 101101010 => 0
[.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 100111010 => 0
[.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 10111010 => 0
[.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1111010 => 0
[.,[.,[[.,[[.,.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 110011010 => 0
[.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 11011010 => 0
[.,[.,[[[[.,.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 101011010 => 0
[.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 110001110 => 0
[.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 11001110 => 0
[.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 101001110 => 0
[.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 100101110 => 0
[.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 100011110 => 0
[.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 10101110 => 0
[.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1101110 => 0
[.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 111110 => 0
[.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 10011110 => 0
[.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1011110 => 0
[.,[[.,[.,[[.,.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 110100110 => 0
[.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 11100110 => 0
[.,[[.,[[[.,.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 101100110 => 0
[.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 100110110 => 0
[.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 10110110 => 0
[.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1110110 => 0
[.,[[[.,[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 110010110 => 0
[.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 11010110 => 0
[.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 101010110 => 0
[[.,.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 10101000 => 0
[[.,.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1101000 => 0
[[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 111000 => 0
[[.,.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 10011000 => 0
[[.,.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1011000 => 0
[[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 10001100 => 0
[[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1001100 => 0
[[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 101100 => 0
[[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 11100 => 0
[[.,.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 10100100 => 0
[[.,.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1100100 => 0
[[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 110100 => 0
[[.,.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 10010100 => 0
[[.,.],[[[[.,.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 1010100 => 0
>>> Load all 644 entries. <<<
[[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 10100010 => 0
[[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1100010 => 0
[[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 110010 => 0
[[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 10010010 => 0
[[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 1010010 => 0
[[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1010000 => 0
[[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 110000 => 0
[[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 11000 => 0
[[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1001000 => 0
[[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 101000 => 0
[[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 10001010 => 0
[[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 1001010 => 0
[[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 10000110 => 0
[[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1000110 => 0
[[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1] => 10 => 0
[[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1000100 => 0
[[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 100100 => 0
[[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1000010 => 0
[[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 100010 => 0
[[.,[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 101010 => 0
[[.,[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 11010 => 0
[[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 1110 => 0
[[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 100110 => 0
[[.,[[[.,.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 10110 => 0
[[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 100000 => 0
[[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 10000 => 0
[[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 1000 => 0
[[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 100 => 0
[[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 10100 => 0
[[[.,[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 1100 => 0
[[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 110 => 0
[[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 10010 => 0
[[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1010 => 0
[[.,[.,[.,[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 101010100 => 0
[[.,[.,[.,[[.,.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 11010100 => 0
[[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1110100 => 0
[[.,[.,[[.,[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 100110100 => 0
[[.,[.,[[[.,.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 10110100 => 0
[[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 100011100 => 0
[[.,[[.,.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 10011100 => 0
[[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1011100 => 0
[[.,[[[.,.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 111100 => 0
[[.,[[.,[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 101001100 => 0
[[.,[[.,[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 11001100 => 0
[[.,[[[.,.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1101100 => 0
[[.,[[[.,[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 100101100 => 0
[[.,[[[[.,.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 10101100 => 0
[[[.,.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 101000110 => 0
[[[.,.],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 11000110 => 0
[[[.,.],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1100110 => 0
[[[.,.],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 100100110 => 0
[[[.,.],[[[.,.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 10100110 => 0
[[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 100010110 => 0
[[[.,[.,.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 10010110 => 0
[[[[.,.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 100001110 => 0
[[[[.,.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 10001110 => 0
[[[.,[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 1010110 => 0
[[[.,[[.,.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 110110 => 0
[[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 11110 => 0
[[[[.,[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1001110 => 0
[[[[[.,.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 101110 => 0
[[[.,[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 101010010 => 0
[[[.,[.,[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 11010010 => 0
[[[.,[[.,.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1110010 => 0
[[[.,[[.,[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 100110010 => 0
[[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 10110010 => 0
[[[[.,.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 100011010 => 0
[[[[.,.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 10011010 => 0
[[[[.,[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 1011010 => 0
[[[[[.,.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 111010 => 0
[[[[.,[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 101001010 => 0
[[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 11001010 => 0
[[[[[.,.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 1101010 => 0
[[[[[.,[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 100101010 => 0
[[[[[[.,.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 10101010 => 0
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [3,3,3,3,2,1] => 111101010 => 0
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [3,3,2,2,2,1] => 110111010 => 0
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,2,2,2,2,1] => 11111010 => 0
[.,[.,[[[[.,.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,2,2,2,1] => 101111010 => 0
[.,[.,[[[[.,.],.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [3,3,3,2,2,1] => 111011010 => 0
[.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [3,3,3,1,1,1] => 111001110 => 0
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,1,1,1,1] => 10111110 => 0
[.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1] => 1111110 => 0
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [3,3,2,1,1,1] => 110101110 => 0
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,2,2,1,1,1] => 11101110 => 0
[.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,2,1,1,1] => 101101110 => 0
[.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,1,1,1,1] => 100111110 => 0
[.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [3,3,1,1,1,1] => 110011110 => 0
[.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,2,1,1,1,1] => 11011110 => 0
[.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1,1,1] => 101011110 => 0
[.,[[.,[[[.,.],.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [3,3,3,3,1,1] => 111100110 => 0
[.,[[[.,[[.,.],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,3,2,2,1,1] => 110110110 => 0
[.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,2,2,2,1,1] => 11110110 => 0
[.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [3,2,2,2,1,1] => 101110110 => 0
[.,[[[[[.,.],.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [3,3,3,2,1,1] => 111010110 => 0
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [5,5,4,3] => 110101000 => 0
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [4,4,4,3] => 11101000 => 0
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [5,4,4,3] => 101101000 => 0
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [5,3,3,3] => 100111000 => 0
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [4,3,3,3] => 10111000 => 0
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,3,3,3] => 1111000 => 0
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [5,5,3,3] => 110011000 => 0
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [4,4,3,3] => 11011000 => 0
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [5,4,3,3] => 101011000 => 0
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [5,5,2,2] => 110001100 => 0
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [4,4,2,2] => 11001100 => 0
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [5,4,2,2] => 101001100 => 0
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [5,3,2,2] => 100101100 => 0
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [5,2,2,2] => 100011100 => 0
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [4,3,2,2] => 10101100 => 0
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,3,2,2] => 1101100 => 0
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,2,2,2] => 111100 => 0
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [4,2,2,2] => 10011100 => 0
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,2,2,2] => 1011100 => 0
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [5,5,4,2] => 110100100 => 0
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [4,4,4,2] => 11100100 => 0
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [5,4,4,2] => 101100100 => 0
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [5,3,3,2] => 100110100 => 0
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [4,3,3,2] => 10110100 => 0
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,3,3,2] => 1110100 => 0
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [5,5,3,2] => 110010100 => 0
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [4,4,3,2] => 11010100 => 0
[[.,.],[[[[[.,.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2] => 101010100 => 0
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [5,5,4,1] => 110100010 => 0
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,4,4,1] => 11100010 => 0
[[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [5,4,4,1] => 101100010 => 0
[[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [5,3,3,1] => 100110010 => 0
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,3,3,1] => 10110010 => 0
[[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,3,3,1] => 1110010 => 0
[[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [5,5,3,1] => 110010010 => 0
[[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [4,4,3,1] => 11010010 => 0
[[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [5,4,3,1] => 101010010 => 0
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [6,5,4] => 101010000 => 0
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [5,5,4] => 11010000 => 0
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,4,4] => 1110000 => 0
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [6,4,4] => 100110000 => 0
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [5,4,4] => 10110000 => 0
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [6,3,3] => 100011000 => 0
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [5,3,3] => 10011000 => 0
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [4,3,3] => 1011000 => 0
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [3,3,3] => 111000 => 0
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [6,5,3] => 101001000 => 0
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [5,5,3] => 11001000 => 0
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [4,4,3] => 1101000 => 0
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [6,4,3] => 100101000 => 0
[[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [5,4,3] => 10101000 => 0
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [5,5,2,1] => 110001010 => 0
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [4,4,2,1] => 11001010 => 0
[[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,4,2,1] => 101001010 => 0
[[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [5,5,1,1] => 110000110 => 0
[[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,4,1,1] => 11000110 => 0
[[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [5,4,1,1] => 101000110 => 0
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,1] => 1010 => 0
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1] => 110 => 0
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2] => 100 => 0
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1] => 10 => 0
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [6,5,2] => 101000100 => 0
[[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [5,5,2] => 11000100 => 0
[[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [4,4,2] => 1100100 => 0
[[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [6,4,2] => 100100100 => 0
[[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,4,2] => 10100100 => 0
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [6,5,1] => 101000010 => 0
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,5,1] => 11000010 => 0
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [4,4,1] => 1100010 => 0
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [6,4,1] => 100100010 => 0
[[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,4,1] => 10100010 => 0
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1] => 100101010 => 0
[[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [5,2,2,1] => 100011010 => 0
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [2,1,1,1] => 101110 => 0
[[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => 11110 => 0
[[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [5,3,1,1] => 100100110 => 0
[[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [5,2,1,1] => 100010110 => 0
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1] => 10000010 => 0
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6] => 1000000 => 0
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,1] => 1000010 => 0
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [5] => 100000 => 0
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [4,1] => 100010 => 0
[[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [4] => 10000 => 0
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [3,1] => 10010 => 0
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [3] => 1000 => 0
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [6,3,2] => 100010100 => 0
[[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [5,3,2] => 10010100 => 0
[[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,2,2] => 100001100 => 0
[[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [5,2,2] => 10001100 => 0
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,1,1] => 10110 => 0
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => 1110 => 0
[[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,1] => 100010010 => 0
[[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [5,3,1] => 10010010 => 0
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,2,1] => 100001010 => 0
[[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [5,2,1] => 10001010 => 0
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => 10101010 => 0
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [3,3,2,1] => 1101010 => 0
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [2,2,2,1] => 111010 => 0
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [4,2,2,1] => 10011010 => 0
[[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [3,2,2,1] => 1011010 => 0
[[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [5,1,1,1] => 100001110 => 0
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,1,1] => 10001110 => 0
[[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,1,1,1] => 1001110 => 0
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [4,3,1,1] => 10100110 => 0
[[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [3,3,1,1] => 1100110 => 0
[[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,2,1,1] => 110110 => 0
[[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [4,2,1,1] => 10010110 => 0
[[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1] => 1010110 => 0
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [6,5] => 10100000 => 0
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,5] => 1100000 => 0
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [4,4] => 110000 => 0
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [6,4] => 10010000 => 0
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,4] => 1010000 => 0
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,3] => 10001000 => 0
[[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [5,3] => 1001000 => 0
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,2] => 10000100 => 0
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,2] => 1000100 => 0
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [4,3] => 101000 => 0
[[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [3,3] => 11000 => 0
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,2] => 1100 => 0
[[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [4,2] => 100100 => 0
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [3,2] => 10100 => 0
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [4,3,2] => 1010100 => 0
[[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [3,3,2] => 110100 => 0
[[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [2,2,2] => 11100 => 0
[[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [4,2,2] => 1001100 => 0
[[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [3,2,2] => 101100 => 0
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,1,1] => 100000110 => 0
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,1] => 10000110 => 0
[[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [4,1,1] => 1000110 => 0
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [3,1,1] => 100110 => 0
[[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [4,3,1] => 1010010 => 0
[[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [3,3,1] => 110010 => 0
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [2,2,1] => 11010 => 0
[[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [4,2,1] => 1001010 => 0
[[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => 101010 => 0
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [4,4,4,3,2] => 111010100 => 0
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [4,3,3,3,2] => 101110100 => 0
[[.,[.,[[[.,.],.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,3,3,3,2] => 11110100 => 0
[[.,[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [4,4,3,3,2] => 110110100 => 0
[[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [4,4,2,2,2] => 110011100 => 0
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [4,3,2,2,2] => 101011100 => 0
[[.,[[.,[[.,.],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [3,3,2,2,2] => 11011100 => 0
[[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,2,2,2,2] => 1111100 => 0
[[.,[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [4,2,2,2,2] => 100111100 => 0
[[.,[[[[.,.],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [3,2,2,2,2] => 10111100 => 0
[[.,[[.,[[.,.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [4,4,4,2,2] => 111001100 => 0
[[.,[[[.,[.,.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [4,3,3,2,2] => 101101100 => 0
[[.,[[[[.,.],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [3,3,3,2,2] => 11101100 => 0
[[.,[[[[.,.],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [4,4,3,2,2] => 110101100 => 0
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [4,4,4,1,1] => 111000110 => 0
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [4,3,3,1,1] => 101100110 => 0
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,3,3,1,1] => 11100110 => 0
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [4,4,3,1,1] => 110100110 => 0
[[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [4,4,2,1,1] => 110010110 => 0
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [4,4,1,1,1] => 110001110 => 0
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,1,1,1,1] => 1011110 => 0
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1] => 111110 => 0
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1,1] => 101010110 => 0
[[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [3,3,2,1,1] => 11010110 => 0
[[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,2,2,1,1] => 1110110 => 0
[[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [4,2,2,1,1] => 100110110 => 0
[[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,2,2,1,1] => 10110110 => 0
[[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [4,1,1,1,1] => 100011110 => 0
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,1,1,1] => 10011110 => 0
[[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,1,1] => 101001110 => 0
[[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,3,1,1,1] => 11001110 => 0
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,2,1,1,1] => 1101110 => 0
[[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,1,1] => 100101110 => 0
[[[[[[.,.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1,1] => 10101110 => 0
[[[.,[.,[[.,.],[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [4,4,4,3,1] => 111010010 => 0
[[[.,[[.,[.,.]],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [4,3,3,3,1] => 101110010 => 0
[[[.,[[[.,.],.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,3,3,3,1] => 11110010 => 0
[[[.,[[[.,.],[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [4,4,3,3,1] => 110110010 => 0
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [4,4,2,2,1] => 110011010 => 0
[[[[.,[.,[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [4,3,2,2,1] => 101011010 => 0
[[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [3,3,2,2,1] => 11011010 => 0
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,2,2,2,1] => 1111010 => 0
[[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [4,2,2,2,1] => 100111010 => 0
[[[[[[.,.],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,2,2,2,1] => 10111010 => 0
[[[[.,[[.,.],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [4,4,4,2,1] => 111001010 => 0
[[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [4,3,3,2,1] => 101101010 => 0
[[[[[[.,.],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,3,3,2,1] => 11101010 => 0
[[[[[[.,.],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [4,4,3,2,1] => 110101010 => 0
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,2,2,1] => 111111010 => 0
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1,1,1,1] => 110111110 => 0
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1] => 11111110 => 0
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1,1,1,1] => 101111110 => 0
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,1,1,1] => 111101110 => 0
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1,1,1,1] => 111011110 => 0
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,2,1,1] => 111110110 => 0
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [4,4,3,3,3] => 110111000 => 0
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,3,3,3,3] => 11111000 => 0
[[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [4,3,3,3,3] => 101111000 => 0
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [4,4,4,2,2] => 111001100 => 0
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2,2] => 10111100 => 0
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,2] => 1111100 => 0
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [4,4,3,2,2] => 110101100 => 0
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [3,3,3,2,2] => 11101100 => 0
[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [4,3,3,2,2] => 101101100 => 0
[[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [4,2,2,2,2] => 100111100 => 0
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [4,4,2,2,2] => 110011100 => 0
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2,2] => 11011100 => 0
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [4,3,2,2,2] => 101011100 => 0
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [4,4,4,4,2] => 111100100 => 0
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [4,4,3,3,2] => 110110100 => 0
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [3,3,3,3,2] => 11110100 => 0
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [4,3,3,3,2] => 101110100 => 0
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [4,4,4,3,2] => 111010100 => 0
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [4,4,4,4,1] => 111100010 => 0
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [4,4,3,3,1] => 110110010 => 0
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [3,3,3,3,1] => 11110010 => 0
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [4,3,3,3,1] => 101110010 => 0
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [4,4,4,3,1] => 111010010 => 0
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [5,4,4,4] => 101110000 => 0
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,4,4,4] => 11110000 => 0
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [5,5,3,3] => 110011000 => 0
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [5,4,3,3] => 101011000 => 0
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,4,3,3] => 11011000 => 0
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [3,3,3,3] => 1111000 => 0
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [5,3,3,3] => 100111000 => 0
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [4,3,3,3] => 10111000 => 0
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [5,4,4,3] => 101101000 => 0
[[[.,.],.],[[[[.,.],.],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [4,4,4,3] => 11101000 => 0
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [5,5,4,3] => 110101000 => 0
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [4,4,4,2,1] => 111001010 => 0
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [4,4,4,1,1] => 111000110 => 0
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [3,2,1] => 101010 => 0
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [2,2,1] => 11010 => 0
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1] => 1110 => 0
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [3,1,1] => 100110 => 0
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [2,1,1] => 10110 => 0
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7] => 10000000 => 0
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [6] => 1000000 => 0
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [5] => 100000 => 0
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [4] => 10000 => 0
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [3,2] => 10100 => 0
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [2,2] => 1100 => 0
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1] => 110 => 0
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [3,1] => 10010 => 0
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [2,1] => 1010 => 0
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [5,5,5,2] => 111000100 => 0
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [5,4,4,2] => 101100100 => 0
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [4,4,4,2] => 11100100 => 0
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [5,5,4,2] => 110100100 => 0
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [5,5,5,1] => 111000010 => 0
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [5,4,4,1] => 101100010 => 0
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [4,4,4,1] => 11100010 => 0
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [5,5,4,1] => 110100010 => 0
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,1,1] => 10101110 => 0
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1,1] => 1101110 => 0
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1] => 111110 => 0
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [3,1,1,1,1] => 10011110 => 0
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1,1] => 1011110 => 0
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [3] => 1000 => 0
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,2] => 100000100 => 0
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,1] => 100000010 => 0
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [6,2,1] => 100001010 => 0
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [6,1,1] => 100000110 => 0
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [2] => 100 => 0
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [6,2] => 10000100 => 0
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [6,1] => 10000010 => 0
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [5,2,1] => 10001010 => 0
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [5,1,1] => 10000110 => 0
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1] => 10 => 0
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [5,2] => 1000100 => 0
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [5,1] => 1000010 => 0
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [4,2,1] => 1001010 => 0
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [4,1,1] => 1000110 => 0
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [4,2] => 100100 => 0
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [4,1] => 100010 => 0
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [5,5,3,2] => 110010100 => 0
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [5,5,2,2] => 110001100 => 0
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,1] => 1010110 => 0
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1] => 110110 => 0
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1] => 11110 => 0
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [3,1,1,1] => 1001110 => 0
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1] => 101110 => 0
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [5,5,3,1] => 110010010 => 0
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [5,5,2,1] => 110001010 => 0
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2,1] => 10111010 => 0
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,1] => 1111010 => 0
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1,1] => 100101110 => 0
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [4,1,1,1,1] => 100011110 => 0
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1,1] => 10110110 => 0
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1,1] => 1110110 => 0
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [7,6] => 101000000 => 0
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [6,6,1] => 110000010 => 0
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,6] => 11000000 => 0
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [5,5,1] => 11000010 => 0
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [5,5] => 1100000 => 0
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [7,5] => 100100000 => 0
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [6,5,1] => 101000010 => 0
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [6,5] => 10100000 => 0
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [7,4] => 100010000 => 0
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [6,4,1] => 100100010 => 0
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [6,4] => 10010000 => 0
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,3] => 100001000 => 0
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [6,3,1] => 100010010 => 0
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [6,3] => 10001000 => 0
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [5,4,1] => 10100010 => 0
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [5,4] => 1010000 => 0
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [4,4,1] => 1100010 => 0
[[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [4,4] => 110000 => 0
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [3,3,1] => 110010 => 0
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [3,3] => 11000 => 0
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [5,3,1] => 10010010 => 0
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [5,3] => 1001000 => 0
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [4,3,1] => 1010010 => 0
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [4,3] => 101000 => 0
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2] => 1011100 => 0
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2] => 111100 => 0
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [5,2,1,1] => 100010110 => 0
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [5,1,1,1] => 100001110 => 0
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1] => 10010110 => 0
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [4,1,1,1] => 10001110 => 0
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1] => 1011010 => 0
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1] => 111010 => 0
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [4,4,3,2,1] => 110101010 => 0
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [3,3,3,2,1] => 11101010 => 0
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [4,3,3,2,1] => 101101010 => 0
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [4,2,2,2,1] => 100111010 => 0
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [4,4,2,2,1] => 110011010 => 0
[[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2,1] => 11011010 => 0
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [4,3,2,2,1] => 101011010 => 0
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [4,4,1,1,1] => 110001110 => 0
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [3,3,1,1,1] => 11001110 => 0
[[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [4,3,1,1,1] => 101001110 => 0
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [4,4,3,1,1] => 110100110 => 0
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [3,3,3,1,1] => 11100110 => 0
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [4,3,3,1,1] => 101100110 => 0
[[.,[[[[.,.],.],[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [4,2,2,1,1] => 100110110 => 0
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [4,4,2,1,1] => 110010110 => 0
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [3,3,2,1,1] => 11010110 => 0
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [4,3,2,1,1] => 101010110 => 0
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [6,6,5] => 110100000 => 0
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,5,5] => 11100000 => 0
[[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [6,5,5] => 101100000 => 0
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [6,4,4] => 100110000 => 0
[[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [5,4,4] => 10110000 => 0
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [4,4,4] => 1110000 => 0
[[[.,.],[[.,[[.,.],.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [6,6,4] => 110010000 => 0
[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [5,5,4] => 11010000 => 0
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [6,5,4] => 101010000 => 0
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [6,6,3] => 110001000 => 0
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [5,5,3] => 11001000 => 0
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [6,5,3] => 101001000 => 0
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [6,6,2] => 110000100 => 0
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [5,5,2] => 11000100 => 0
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [6,5,2] => 101000100 => 0
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [6,4,3] => 100101000 => 0
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [6,3,3] => 100011000 => 0
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [3,2,2] => 101100 => 0
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [2,2,2] => 11100 => 0
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [6,4,2] => 100100100 => 0
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [6,3,2] => 100010100 => 0
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [5,4,3] => 10101000 => 0
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [4,4,3] => 1101000 => 0
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [3,3,3] => 111000 => 0
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [5,3,3] => 10011000 => 0
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [4,3,3] => 1011000 => 0
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [6,2,2] => 100001100 => 0
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [5,2,2] => 10001100 => 0
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [4,2,2] => 1001100 => 0
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [5,4,2] => 10100100 => 0
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [4,4,2] => 1100100 => 0
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [3,3,2] => 110100 => 0
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [5,3,2] => 10010100 => 0
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [4,3,2] => 1010100 => 0
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [5,4,3,2] => 101010100 => 0
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [4,4,3,2] => 11010100 => 0
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [3,3,3,2] => 1110100 => 0
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [5,3,3,2] => 100110100 => 0
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [4,3,3,2] => 10110100 => 0
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [5,2,2,2] => 100011100 => 0
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [4,2,2,2] => 10011100 => 0
[[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [5,4,2,2] => 101001100 => 0
[[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [4,4,2,2] => 11001100 => 0
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2] => 1101100 => 0
[[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [5,3,2,2] => 100101100 => 0
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [4,3,2,2] => 10101100 => 0
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [5,5,1,1] => 110000110 => 0
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [5,4,1,1] => 101000110 => 0
[[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [4,4,1,1] => 11000110 => 0
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [3,3,1,1] => 1100110 => 0
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [5,3,1,1] => 100100110 => 0
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [4,3,1,1] => 10100110 => 0
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [5,4,3,1] => 101010010 => 0
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [4,4,3,1] => 11010010 => 0
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [3,3,3,1] => 1110010 => 0
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [5,3,3,1] => 100110010 => 0
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [4,3,3,1] => 10110010 => 0
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [5,2,2,1] => 100011010 => 0
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [4,2,2,1] => 10011010 => 0
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [5,4,2,1] => 101001010 => 0
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [4,4,2,1] => 11001010 => 0
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [3,3,2,1] => 1101010 => 0
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [5,3,2,1] => 100101010 => 0
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [4,3,2,1] => 10101010 => 0
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [3,3,3,3,3,2] => 111110100 => 0
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2,2,2] => 101111100 => 0
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,2,2] => 11111100 => 0
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [3,3,3,2,2,2] => 111011100 => 0
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2,2,2] => 110111100 => 0
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [3,3,3,3,2,2] => 111101100 => 0
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,3,3,3,1,1] => 111100110 => 0
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,1,1,1] => 101011110 => 0
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1,1,1] => 11011110 => 0
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1] => 1111110 => 0
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [3,1,1,1,1,1] => 100111110 => 0
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1,1,1] => 10111110 => 0
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2,1,1] => 101110110 => 0
[[[.,[[.,.],[.,.]]],[[.,.],.]],.] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,1,1] => 11110110 => 0
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1,1,1] => 101101110 => 0
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1,1,1] => 11101110 => 0
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [3,3,3,2,1,1] => 111010110 => 0
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2,1,1] => 110110110 => 0
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [3,3,1,1,1,1] => 110011110 => 0
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [3,3,3,1,1,1] => 111001110 => 0
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [3,3,2,1,1,1] => 110101110 => 0
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,3,3,3,3,1] => 111110010 => 0
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2,2,1] => 101111010 => 0
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,2,1] => 11111010 => 0
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,3,3,2,2,1] => 111011010 => 0
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2,2,1] => 110111010 => 0
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,3,3,3,2,1] => 111101010 => 0
[[[[.,.],.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8] => 100000000 => 0
[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1] => 111110 => 0
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [4,4,3,2,1] => 110101010 => 0
[[[[.,.],.],[.,.]],[[.,.],[[.,.],[.,.]]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [7,7] => 110000000 => 0
[[[[.,.],.],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [7] => 10000000 => 0
[[[[.,.],.],[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [6] => 1000000 => 0
[[.,[[[.,.],.],[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1] => 1111110 => 0
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [2,2,2,2,2,1,1] => 111110110 => 0
[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [4,4,4] => 1110000 => 0
[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1] => 11111110 => 0
[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1] => 1110 => 0
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [3] => 1000 => 0
[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [4,3,2,1] => 10101010 => 0
[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1] => 111111110 => 0
[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [8] => 100000000 => 0
[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1] => 11110 => 0
[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [5,5,5,5] => 111100000 => 0
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [5,4,3,2] => 101010100 => 0
[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [5,4,3,1] => 101010010 => 0
[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [5,4,2,1] => 101001010 => 0
[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [5,3,2,1] => 100101010 => 0
[[[[[[.,.],[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [3,3,3,2,1] => 11101010 => 0
search for individual values
searching the database for the individual values of this statistic
Description
The length of the longest Yamanouchi prefix of a binary word.
This is the largest index i such that in each of the prefixes w1, w1w2, w1w2…wi the number of zeros is greater than or equal to the number of ones.
Map
pruning number to logarithmic height
Description
Francon's map from binary trees to Dyck paths.
This bijection sends the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree., to the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path.. The implementation is a literal translation of Knuth's [2].
Map
to partition
Description
The cut-out partition of a Dyck path.
The partition λ associated to a Dyck path is defined to be the complementary partition inside the staircase partition (n−1,…,2,1) when cutting out D considered as a path from (0,0) to (n,n).
In other words, λi is the number of down-steps before the (n+1−i)-th up-step of D.
This map is a bijection between Dyck paths of size n and partitions inside the staircase partition (n−1,…,2,1).
Map
to binary word
Description
Return the partition as binary word, by traversing its shape from the first row to the last row, down steps as 1 and left steps as 0.