Identifier
Values
[[]] => [1,0] => 10 => 1
[[],[]] => [1,0,1,0] => 1010 => 1
[[[]]] => [1,1,0,0] => 1100 => 2
[[],[],[]] => [1,0,1,0,1,0] => 101010 => 1
[[],[[]]] => [1,0,1,1,0,0] => 101100 => 2
[[[]],[]] => [1,1,0,0,1,0] => 110010 => 2
[[[],[]]] => [1,1,0,1,0,0] => 110100 => 2
[[[[]]]] => [1,1,1,0,0,0] => 111000 => 3
[[],[],[],[]] => [1,0,1,0,1,0,1,0] => 10101010 => 1
[[],[],[[]]] => [1,0,1,0,1,1,0,0] => 10101100 => 2
[[],[[]],[]] => [1,0,1,1,0,0,1,0] => 10110010 => 2
[[],[[],[]]] => [1,0,1,1,0,1,0,0] => 10110100 => 2
[[],[[[]]]] => [1,0,1,1,1,0,0,0] => 10111000 => 3
[[[]],[],[]] => [1,1,0,0,1,0,1,0] => 11001010 => 2
[[[]],[[]]] => [1,1,0,0,1,1,0,0] => 11001100 => 2
[[[],[]],[]] => [1,1,0,1,0,0,1,0] => 11010010 => 2
[[[[]]],[]] => [1,1,1,0,0,0,1,0] => 11100010 => 3
[[[],[],[]]] => [1,1,0,1,0,1,0,0] => 11010100 => 2
[[[],[[]]]] => [1,1,0,1,1,0,0,0] => 11011000 => 2
[[[[]],[]]] => [1,1,1,0,0,1,0,0] => 11100100 => 3
[[[[],[]]]] => [1,1,1,0,1,0,0,0] => 11101000 => 3
[[[[[]]]]] => [1,1,1,1,0,0,0,0] => 11110000 => 4
[[],[],[],[],[]] => [1,0,1,0,1,0,1,0,1,0] => 1010101010 => 1
[[],[],[],[[]]] => [1,0,1,0,1,0,1,1,0,0] => 1010101100 => 2
[[],[],[[]],[]] => [1,0,1,0,1,1,0,0,1,0] => 1010110010 => 2
[[],[],[[],[]]] => [1,0,1,0,1,1,0,1,0,0] => 1010110100 => 2
[[],[],[[[]]]] => [1,0,1,0,1,1,1,0,0,0] => 1010111000 => 3
[[],[[]],[],[]] => [1,0,1,1,0,0,1,0,1,0] => 1011001010 => 2
[[],[[]],[[]]] => [1,0,1,1,0,0,1,1,0,0] => 1011001100 => 2
[[],[[],[]],[]] => [1,0,1,1,0,1,0,0,1,0] => 1011010010 => 2
[[],[[[]]],[]] => [1,0,1,1,1,0,0,0,1,0] => 1011100010 => 3
[[],[[],[],[]]] => [1,0,1,1,0,1,0,1,0,0] => 1011010100 => 2
[[],[[],[[]]]] => [1,0,1,1,0,1,1,0,0,0] => 1011011000 => 2
[[],[[[]],[]]] => [1,0,1,1,1,0,0,1,0,0] => 1011100100 => 3
[[],[[[],[]]]] => [1,0,1,1,1,0,1,0,0,0] => 1011101000 => 3
[[],[[[[]]]]] => [1,0,1,1,1,1,0,0,0,0] => 1011110000 => 4
[[[]],[],[],[]] => [1,1,0,0,1,0,1,0,1,0] => 1100101010 => 2
[[[]],[],[[]]] => [1,1,0,0,1,0,1,1,0,0] => 1100101100 => 2
[[[]],[[]],[]] => [1,1,0,0,1,1,0,0,1,0] => 1100110010 => 2
[[[]],[[],[]]] => [1,1,0,0,1,1,0,1,0,0] => 1100110100 => 2
[[[]],[[[]]]] => [1,1,0,0,1,1,1,0,0,0] => 1100111000 => 3
[[[],[]],[],[]] => [1,1,0,1,0,0,1,0,1,0] => 1101001010 => 2
[[[[]]],[],[]] => [1,1,1,0,0,0,1,0,1,0] => 1110001010 => 3
[[[],[]],[[]]] => [1,1,0,1,0,0,1,1,0,0] => 1101001100 => 2
[[[[]]],[[]]] => [1,1,1,0,0,0,1,1,0,0] => 1110001100 => 3
[[[],[],[]],[]] => [1,1,0,1,0,1,0,0,1,0] => 1101010010 => 2
[[[],[[]]],[]] => [1,1,0,1,1,0,0,0,1,0] => 1101100010 => 2
[[[[]],[]],[]] => [1,1,1,0,0,1,0,0,1,0] => 1110010010 => 3
[[[[],[]]],[]] => [1,1,1,0,1,0,0,0,1,0] => 1110100010 => 3
[[[[[]]]],[]] => [1,1,1,1,0,0,0,0,1,0] => 1111000010 => 4
[[[],[],[],[]]] => [1,1,0,1,0,1,0,1,0,0] => 1101010100 => 2
[[[],[],[[]]]] => [1,1,0,1,0,1,1,0,0,0] => 1101011000 => 2
[[[],[[]],[]]] => [1,1,0,1,1,0,0,1,0,0] => 1101100100 => 2
[[[],[[],[]]]] => [1,1,0,1,1,0,1,0,0,0] => 1101101000 => 2
[[[],[[[]]]]] => [1,1,0,1,1,1,0,0,0,0] => 1101110000 => 3
[[[[]],[],[]]] => [1,1,1,0,0,1,0,1,0,0] => 1110010100 => 3
[[[[]],[[]]]] => [1,1,1,0,0,1,1,0,0,0] => 1110011000 => 3
[[[[],[]],[]]] => [1,1,1,0,1,0,0,1,0,0] => 1110100100 => 3
[[[[[]]],[]]] => [1,1,1,1,0,0,0,1,0,0] => 1111000100 => 4
[[[[],[],[]]]] => [1,1,1,0,1,0,1,0,0,0] => 1110101000 => 3
[[[[],[[]]]]] => [1,1,1,0,1,1,0,0,0,0] => 1110110000 => 3
[[[[[]],[]]]] => [1,1,1,1,0,0,1,0,0,0] => 1111001000 => 4
[[[[[],[]]]]] => [1,1,1,1,0,1,0,0,0,0] => 1111010000 => 4
[[[[[[]]]]]] => [1,1,1,1,1,0,0,0,0,0] => 1111100000 => 5
[[],[],[],[],[],[]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 101010101010 => 1
[[],[],[],[],[[]]] => [1,0,1,0,1,0,1,0,1,1,0,0] => 101010101100 => 2
[[],[],[],[[]],[]] => [1,0,1,0,1,0,1,1,0,0,1,0] => 101010110010 => 2
[[],[],[],[[],[]]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 101010110100 => 2
[[],[],[],[[[]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => 101010111000 => 3
[[],[],[[]],[],[]] => [1,0,1,0,1,1,0,0,1,0,1,0] => 101011001010 => 2
[[],[],[[]],[[]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => 101011001100 => 2
[[],[],[[],[]],[]] => [1,0,1,0,1,1,0,1,0,0,1,0] => 101011010010 => 2
[[],[],[[[]]],[]] => [1,0,1,0,1,1,1,0,0,0,1,0] => 101011100010 => 3
[[],[],[[],[],[]]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 101011010100 => 2
[[],[],[[],[[]]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => 101011011000 => 2
[[],[],[[[]],[]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 101011100100 => 3
[[],[],[[[],[]]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => 101011101000 => 3
[[],[],[[[[]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => 101011110000 => 4
[[],[[]],[],[],[]] => [1,0,1,1,0,0,1,0,1,0,1,0] => 101100101010 => 2
[[],[[]],[],[[]]] => [1,0,1,1,0,0,1,0,1,1,0,0] => 101100101100 => 2
[[],[[]],[[]],[]] => [1,0,1,1,0,0,1,1,0,0,1,0] => 101100110010 => 2
[[],[[]],[[],[]]] => [1,0,1,1,0,0,1,1,0,1,0,0] => 101100110100 => 2
[[],[[]],[[[]]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => 101100111000 => 3
[[],[[],[]],[],[]] => [1,0,1,1,0,1,0,0,1,0,1,0] => 101101001010 => 2
[[],[[[]]],[],[]] => [1,0,1,1,1,0,0,0,1,0,1,0] => 101110001010 => 3
[[],[[],[]],[[]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => 101101001100 => 2
[[],[[[]]],[[]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => 101110001100 => 3
[[],[[],[],[]],[]] => [1,0,1,1,0,1,0,1,0,0,1,0] => 101101010010 => 2
[[],[[],[[]]],[]] => [1,0,1,1,0,1,1,0,0,0,1,0] => 101101100010 => 2
[[],[[[]],[]],[]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 101110010010 => 3
[[],[[[],[]]],[]] => [1,0,1,1,1,0,1,0,0,0,1,0] => 101110100010 => 3
[[],[[[[]]]],[]] => [1,0,1,1,1,1,0,0,0,0,1,0] => 101111000010 => 4
[[],[[],[],[],[]]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 101101010100 => 2
[[],[[],[],[[]]]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 101101011000 => 2
[[],[[],[[]],[]]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 101101100100 => 2
[[],[[],[[],[]]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 101101101000 => 2
[[],[[],[[[]]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 101101110000 => 3
[[],[[[]],[],[]]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 101110010100 => 3
[[],[[[]],[[]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 101110011000 => 3
[[],[[[],[]],[]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 101110100100 => 3
[[],[[[[]]],[]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 101111000100 => 4
>>> Load all 236 entries. <<<
[[],[[[],[],[]]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 101110101000 => 3
[[],[[[],[[]]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 101110110000 => 3
[[],[[[[]],[]]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 101111001000 => 4
[[],[[[[],[]]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 101111010000 => 4
[[],[[[[[]]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 101111100000 => 5
[[[]],[],[],[],[]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 110010101010 => 2
[[[]],[],[],[[]]] => [1,1,0,0,1,0,1,0,1,1,0,0] => 110010101100 => 2
[[[]],[],[[]],[]] => [1,1,0,0,1,0,1,1,0,0,1,0] => 110010110010 => 2
[[[]],[],[[],[]]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 110010110100 => 2
[[[]],[],[[[]]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => 110010111000 => 3
[[[]],[[]],[],[]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 110011001010 => 2
[[[]],[[]],[[]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 110011001100 => 2
[[[]],[[],[]],[]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 110011010010 => 2
[[[]],[[[]]],[]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 110011100010 => 3
[[[]],[[],[],[]]] => [1,1,0,0,1,1,0,1,0,1,0,0] => 110011010100 => 2
[[[]],[[],[[]]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => 110011011000 => 2
[[[]],[[[]],[]]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 110011100100 => 3
[[[]],[[[],[]]]] => [1,1,0,0,1,1,1,0,1,0,0,0] => 110011101000 => 3
[[[]],[[[[]]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 110011110000 => 4
[[[],[]],[],[],[]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 110100101010 => 2
[[[[]]],[],[],[]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 111000101010 => 3
[[[],[]],[],[[]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => 110100101100 => 2
[[[[]]],[],[[]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 111000101100 => 3
[[[],[]],[[]],[]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 110100110010 => 2
[[[[]]],[[]],[]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 111000110010 => 3
[[[],[]],[[],[]]] => [1,1,0,1,0,0,1,1,0,1,0,0] => 110100110100 => 2
[[[],[]],[[[]]]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 110100111000 => 3
[[[[]]],[[],[]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 111000110100 => 3
[[[[]]],[[[]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 111000111000 => 3
[[[],[],[]],[],[]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 110101001010 => 2
[[[],[[]]],[],[]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 110110001010 => 2
[[[[]],[]],[],[]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 111001001010 => 3
[[[[],[]]],[],[]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 111010001010 => 3
[[[[[]]]],[],[]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 111100001010 => 4
[[[],[],[]],[[]]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 110101001100 => 2
[[[],[[]]],[[]]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 110110001100 => 2
[[[[]],[]],[[]]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 111001001100 => 3
[[[[],[]]],[[]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 111010001100 => 3
[[[[[]]]],[[]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 111100001100 => 4
[[[],[],[],[]],[]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 110101010010 => 2
[[[],[],[[]]],[]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 110101100010 => 2
[[[],[[]],[]],[]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 110110010010 => 2
[[[],[[],[]]],[]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 110110100010 => 2
[[[],[[[]]]],[]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 110111000010 => 3
[[[[]],[],[]],[]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 111001010010 => 3
[[[[]],[[]]],[]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 111001100010 => 3
[[[[],[]],[]],[]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 111010010010 => 3
[[[[[]]],[]],[]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 111100010010 => 4
[[[[],[],[]]],[]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 111010100010 => 3
[[[[],[[]]]],[]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 111011000010 => 3
[[[[[]],[]]],[]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 111100100010 => 4
[[[[[],[]]]],[]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 111101000010 => 4
[[[[[[]]]]],[]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 111110000010 => 5
[[[],[],[],[],[]]] => [1,1,0,1,0,1,0,1,0,1,0,0] => 110101010100 => 2
[[[],[],[],[[]]]] => [1,1,0,1,0,1,0,1,1,0,0,0] => 110101011000 => 2
[[[],[],[[]],[]]] => [1,1,0,1,0,1,1,0,0,1,0,0] => 110101100100 => 2
[[[],[],[[],[]]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => 110101101000 => 2
[[[],[],[[[]]]]] => [1,1,0,1,0,1,1,1,0,0,0,0] => 110101110000 => 3
[[[],[[]],[],[]]] => [1,1,0,1,1,0,0,1,0,1,0,0] => 110110010100 => 2
[[[],[[]],[[]]]] => [1,1,0,1,1,0,0,1,1,0,0,0] => 110110011000 => 2
[[[],[[],[]],[]]] => [1,1,0,1,1,0,1,0,0,1,0,0] => 110110100100 => 2
[[[],[[[]]],[]]] => [1,1,0,1,1,1,0,0,0,1,0,0] => 110111000100 => 3
[[[],[[],[],[]]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => 110110101000 => 2
[[[],[[],[[]]]]] => [1,1,0,1,1,0,1,1,0,0,0,0] => 110110110000 => 2
[[[],[[[]],[]]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => 110111001000 => 3
[[[],[[[],[]]]]] => [1,1,0,1,1,1,0,1,0,0,0,0] => 110111010000 => 3
[[[],[[[[]]]]]] => [1,1,0,1,1,1,1,0,0,0,0,0] => 110111100000 => 4
[[[[]],[],[],[]]] => [1,1,1,0,0,1,0,1,0,1,0,0] => 111001010100 => 3
[[[[]],[],[[]]]] => [1,1,1,0,0,1,0,1,1,0,0,0] => 111001011000 => 3
[[[[]],[[]],[]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => 111001100100 => 3
[[[[]],[[],[]]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => 111001101000 => 3
[[[[]],[[[]]]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => 111001110000 => 3
[[[[],[]],[],[]]] => [1,1,1,0,1,0,0,1,0,1,0,0] => 111010010100 => 3
[[[[[]]],[],[]]] => [1,1,1,1,0,0,0,1,0,1,0,0] => 111100010100 => 4
[[[[],[]],[[]]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => 111010011000 => 3
[[[[[]]],[[]]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => 111100011000 => 4
[[[[],[],[]],[]]] => [1,1,1,0,1,0,1,0,0,1,0,0] => 111010100100 => 3
[[[[],[[]]],[]]] => [1,1,1,0,1,1,0,0,0,1,0,0] => 111011000100 => 3
[[[[[]],[]],[]]] => [1,1,1,1,0,0,1,0,0,1,0,0] => 111100100100 => 4
[[[[[],[]]],[]]] => [1,1,1,1,0,1,0,0,0,1,0,0] => 111101000100 => 4
[[[[[[]]]],[]]] => [1,1,1,1,1,0,0,0,0,1,0,0] => 111110000100 => 5
[[[[],[],[],[]]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => 111010101000 => 3
[[[[],[],[[]]]]] => [1,1,1,0,1,0,1,1,0,0,0,0] => 111010110000 => 3
[[[[],[[]],[]]]] => [1,1,1,0,1,1,0,0,1,0,0,0] => 111011001000 => 3
[[[[],[[],[]]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => 111011010000 => 3
[[[[],[[[]]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => 111011100000 => 3
[[[[[]],[],[]]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => 111100101000 => 4
[[[[[]],[[]]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => 111100110000 => 4
[[[[[],[]],[]]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => 111101001000 => 4
[[[[[[]]],[]]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => 111110001000 => 5
[[[[[],[],[]]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => 111101010000 => 4
[[[[[],[[]]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => 111101100000 => 4
[[[[[[]],[]]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => 111110010000 => 5
[[[[[[],[]]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => 111110100000 => 5
[[[[[[[]]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => 111111000000 => 6
[[],[[],[[[[]]]]]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 10110111100000 => 4
[[],[[[[[]]]],[]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 10111110000100 => 5
[[],[[[],[[],[]]]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 10111011010000 => 3
[[],[[[],[[[]]]]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 10111011100000 => 3
[[],[[[[]],[[]]]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 10111100110000 => 4
[[],[[[[],[]],[]]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 10111101001000 => 4
[[],[[[[[]]],[]]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 10111110001000 => 5
[[],[[[[],[],[]]]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 10111101010000 => 4
[[],[[[[],[[]]]]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 10111101100000 => 4
[[],[[[[[]],[]]]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 10111110010000 => 5
[[],[[[[[],[]]]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 10111110100000 => 5
[[],[[[[[[]]]]]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 10111111000000 => 6
[[[]],[[[[[]]]]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 11001111100000 => 5
[[[[[[]]]]],[[]]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 11111000001100 => 5
[[[],[[[[]]]]],[]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 11011110000010 => 4
[[[[[[]]]],[]],[]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 11111000010010 => 5
[[[[],[[],[]]]],[]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 11101101000010 => 3
[[[[],[[[]]]]],[]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 11101110000010 => 3
[[[[[]],[[]]]],[]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 11110011000010 => 4
[[[[[],[]],[]]],[]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 11110100100010 => 4
[[[[[[]]],[]]],[]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 11111000100010 => 5
[[[[[],[],[]]]],[]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 11110101000010 => 4
[[[[[],[[]]]]],[]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 11110110000010 => 4
[[[[[[]],[]]]],[]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 11111001000010 => 5
[[[[[[],[]]]]],[]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 11111010000010 => 5
[[[[[[[]]]]]],[]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 11111100000010 => 6
[[],[[[[],[[[]]]]]]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1011110111000000 => 4
[[],[[[[[[]]],[]]]]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1011111100010000 => 6
[[],[[[[[],[],[]]]]]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1011111010100000 => 5
[[],[[[[[],[[]]]]]]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1011111011000000 => 5
[[],[[[[[[]],[]]]]]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1011111100100000 => 6
[[],[[[[[[],[]]]]]]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1011111101000000 => 6
[[],[[[[[[[]]]]]]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1011111110000000 => 7
[[[[[],[[[]]]]]],[]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 1111011100000010 => 4
[[[[[[[]]],[]]]],[]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 1111110001000010 => 6
[[[[[[],[],[]]]]],[]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 1111101010000010 => 5
[[[[[[],[[]]]]]],[]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 1111101100000010 => 5
[[[[[[[]],[]]]]],[]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 1111110010000010 => 6
[[[[[[[],[]]]]]],[]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 1111110100000010 => 6
[[[[[[[[]]]]]]],[]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 1111111000000010 => 7
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Description
The length of a longest cyclic run of ones of a binary word.
Consider the binary word as a cyclic arrangement of ones and zeros. Then this statistic is the length of the longest continuous sequence of ones in this arrangement.
Map
to binary word
Description
Return the Dyck word as binary word.
Map
to Dyck path
Description
Return the Dyck path of the corresponding ordered tree induced by the recurrence of the Catalan numbers, see wikipedia:Catalan_number.
This sends the maximal height of the Dyck path to the depth of the tree.