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Identifier
Values
[[]] => 2
[[],[]] => 2
[[[]]] => 3
[[],[],[]] => 2
[[],[[]]] => 3
[[[]],[]] => 3
[[[],[]]] => 3
[[[[]]]] => 4
[[],[],[],[]] => 2
[[],[],[[]]] => 3
[[],[[]],[]] => 3
[[],[[],[]]] => 3
[[],[[[]]]] => 4
[[[]],[],[]] => 3
[[[]],[[]]] => 3
[[[],[]],[]] => 3
[[[[]]],[]] => 4
[[[],[],[]]] => 3
[[[],[[]]]] => 4
[[[[]],[]]] => 4
[[[[],[]]]] => 4
[[[[[]]]]] => 5
[[],[],[],[],[]] => 2
[[],[],[],[[]]] => 3
[[],[],[[]],[]] => 3
[[],[],[[],[]]] => 3
[[],[],[[[]]]] => 4
[[],[[]],[],[]] => 3
[[],[[]],[[]]] => 3
[[],[[],[]],[]] => 3
[[],[[[]]],[]] => 4
[[],[[],[],[]]] => 3
[[],[[],[[]]]] => 4
[[],[[[]],[]]] => 4
[[],[[[],[]]]] => 4
[[],[[[[]]]]] => 5
[[[]],[],[],[]] => 3
[[[]],[],[[]]] => 3
[[[]],[[]],[]] => 3
[[[]],[[],[]]] => 3
[[[]],[[[]]]] => 4
[[[],[]],[],[]] => 3
[[[[]]],[],[]] => 4
[[[],[]],[[]]] => 3
[[[[]]],[[]]] => 4
[[[],[],[]],[]] => 3
[[[],[[]]],[]] => 4
[[[[]],[]],[]] => 4
[[[[],[]]],[]] => 4
[[[[[]]]],[]] => 5
[[[],[],[],[]]] => 3
[[[],[],[[]]]] => 4
[[[],[[]],[]]] => 4
[[[],[[],[]]]] => 4
[[[],[[[]]]]] => 5
[[[[]],[],[]]] => 4
[[[[]],[[]]]] => 4
[[[[],[]],[]]] => 4
[[[[[]]],[]]] => 5
[[[[],[],[]]]] => 4
[[[[],[[]]]]] => 5
[[[[[]],[]]]] => 5
[[[[[],[]]]]] => 5
[[[[[[]]]]]] => 6
[[],[],[],[],[],[]] => 2
[[],[],[],[],[[]]] => 3
[[],[],[],[[]],[]] => 3
[[],[],[],[[],[]]] => 3
[[],[],[],[[[]]]] => 4
[[],[],[[]],[],[]] => 3
[[],[],[[]],[[]]] => 3
[[],[],[[],[]],[]] => 3
[[],[],[[[]]],[]] => 4
[[],[],[[],[],[]]] => 3
[[],[],[[],[[]]]] => 4
[[],[],[[[]],[]]] => 4
[[],[],[[[],[]]]] => 4
[[],[],[[[[]]]]] => 5
[[],[[]],[],[],[]] => 3
[[],[[]],[],[[]]] => 3
[[],[[]],[[]],[]] => 3
[[],[[]],[[],[]]] => 3
[[],[[]],[[[]]]] => 4
[[],[[],[]],[],[]] => 3
[[],[[[]]],[],[]] => 4
[[],[[],[]],[[]]] => 3
[[],[[[]]],[[]]] => 4
[[],[[],[],[]],[]] => 3
[[],[[],[[]]],[]] => 4
[[],[[[]],[]],[]] => 4
[[],[[[],[]]],[]] => 4
[[],[[[[]]]],[]] => 5
[[],[[],[],[],[]]] => 3
[[],[[],[],[[]]]] => 4
[[],[[],[[]],[]]] => 4
[[],[[],[[],[]]]] => 4
[[],[[],[[[]]]]] => 5
[[],[[[]],[],[]]] => 4
[[],[[[]],[[]]]] => 4
[[],[[[],[]],[]]] => 4
[[],[[[[]]],[]]] => 5
>>> Load all 711 entries. <<<
[[],[[[],[],[]]]] => 4
[[],[[[],[[]]]]] => 5
[[],[[[[]],[]]]] => 5
[[],[[[[],[]]]]] => 5
[[],[[[[[]]]]]] => 6
[[[]],[],[],[],[]] => 3
[[[]],[],[],[[]]] => 3
[[[]],[],[[]],[]] => 3
[[[]],[],[[],[]]] => 3
[[[]],[],[[[]]]] => 4
[[[]],[[]],[],[]] => 3
[[[]],[[]],[[]]] => 3
[[[]],[[],[]],[]] => 3
[[[]],[[[]]],[]] => 4
[[[]],[[],[],[]]] => 3
[[[]],[[],[[]]]] => 4
[[[]],[[[]],[]]] => 4
[[[]],[[[],[]]]] => 4
[[[]],[[[[]]]]] => 5
[[[],[]],[],[],[]] => 3
[[[[]]],[],[],[]] => 4
[[[],[]],[],[[]]] => 3
[[[[]]],[],[[]]] => 4
[[[],[]],[[]],[]] => 3
[[[[]]],[[]],[]] => 4
[[[],[]],[[],[]]] => 3
[[[],[]],[[[]]]] => 4
[[[[]]],[[],[]]] => 4
[[[[]]],[[[]]]] => 4
[[[],[],[]],[],[]] => 3
[[[],[[]]],[],[]] => 4
[[[[]],[]],[],[]] => 4
[[[[],[]]],[],[]] => 4
[[[[[]]]],[],[]] => 5
[[[],[],[]],[[]]] => 3
[[[],[[]]],[[]]] => 4
[[[[]],[]],[[]]] => 4
[[[[],[]]],[[]]] => 4
[[[[[]]]],[[]]] => 5
[[[],[],[],[]],[]] => 3
[[[],[],[[]]],[]] => 4
[[[],[[]],[]],[]] => 4
[[[],[[],[]]],[]] => 4
[[[],[[[]]]],[]] => 5
[[[[]],[],[]],[]] => 4
[[[[]],[[]]],[]] => 4
[[[[],[]],[]],[]] => 4
[[[[[]]],[]],[]] => 5
[[[[],[],[]]],[]] => 4
[[[[],[[]]]],[]] => 5
[[[[[]],[]]],[]] => 5
[[[[[],[]]]],[]] => 5
[[[[[[]]]]],[]] => 6
[[[],[],[],[],[]]] => 3
[[[],[],[],[[]]]] => 4
[[[],[],[[]],[]]] => 4
[[[],[],[[],[]]]] => 4
[[[],[],[[[]]]]] => 5
[[[],[[]],[],[]]] => 4
[[[],[[]],[[]]]] => 4
[[[],[[],[]],[]]] => 4
[[[],[[[]]],[]]] => 5
[[[],[[],[],[]]]] => 4
[[[],[[],[[]]]]] => 5
[[[],[[[]],[]]]] => 5
[[[],[[[],[]]]]] => 5
[[[],[[[[]]]]]] => 6
[[[[]],[],[],[]]] => 4
[[[[]],[],[[]]]] => 4
[[[[]],[[]],[]]] => 4
[[[[]],[[],[]]]] => 4
[[[[]],[[[]]]]] => 5
[[[[],[]],[],[]]] => 4
[[[[[]]],[],[]]] => 5
[[[[],[]],[[]]]] => 4
[[[[[]]],[[]]]] => 5
[[[[],[],[]],[]]] => 4
[[[[],[[]]],[]]] => 5
[[[[[]],[]],[]]] => 5
[[[[[],[]]],[]]] => 5
[[[[[[]]]],[]]] => 6
[[[[],[],[],[]]]] => 4
[[[[],[],[[]]]]] => 5
[[[[],[[]],[]]]] => 5
[[[[],[[],[]]]]] => 5
[[[[],[[[]]]]]] => 6
[[[[[]],[],[]]]] => 5
[[[[[]],[[]]]]] => 5
[[[[[],[]],[]]]] => 5
[[[[[[]]],[]]]] => 6
[[[[[],[],[]]]]] => 5
[[[[[],[[]]]]]] => 6
[[[[[[]],[]]]]] => 6
[[[[[[],[]]]]]] => 6
[[[[[[[]]]]]]] => 7
[[],[],[],[],[],[],[]] => 2
[[],[],[],[],[],[[]]] => 3
[[],[],[],[],[[]],[]] => 3
[[],[],[],[],[[],[]]] => 3
[[],[],[],[],[[[]]]] => 4
[[],[],[],[[]],[],[]] => 3
[[],[],[],[[]],[[]]] => 3
[[],[],[],[[[]]],[]] => 4
[[],[],[],[[],[],[]]] => 3
[[],[],[],[[[]],[]]] => 4
[[],[],[],[[[],[]]]] => 4
[[],[],[],[[[[]]]]] => 5
[[],[],[[]],[],[],[]] => 3
[[],[],[[]],[],[[]]] => 3
[[],[],[[]],[[]],[]] => 3
[[],[],[[]],[[[]]]] => 4
[[],[],[[[]]],[],[]] => 4
[[],[],[[[]]],[[]]] => 4
[[],[],[[[[]]]],[]] => 5
[[],[],[[],[],[],[]]] => 3
[[],[],[[[]],[],[]]] => 4
[[],[],[[[],[]],[]]] => 4
[[],[],[[[[]]],[]]] => 5
[[],[],[[[],[],[]]]] => 4
[[],[],[[[],[[]]]]] => 5
[[],[],[[[[],[]]]]] => 5
[[],[],[[[[[]]]]]] => 6
[[],[[]],[],[],[],[]] => 3
[[],[[]],[],[],[[]]] => 3
[[],[[]],[],[[]],[]] => 3
[[],[[]],[],[[[]]]] => 4
[[],[[]],[[]],[],[]] => 3
[[],[[]],[[]],[[]]] => 3
[[],[[]],[[[]]],[]] => 4
[[],[[]],[[[[]]]]] => 5
[[],[[[]]],[],[],[]] => 4
[[],[[[]]],[],[[]]] => 4
[[],[[[]]],[[]],[]] => 4
[[],[[[]]],[[[]]]] => 4
[[],[[[[]]]],[],[]] => 5
[[],[[[[]]]],[[]]] => 5
[[],[[[[[]]]]],[]] => 6
[[],[[],[],[],[],[]]] => 3
[[],[[],[[[[]]]]]] => 6
[[],[[[]],[],[],[]]] => 4
[[],[[[],[]],[],[]]] => 4
[[],[[[[]]],[],[]]] => 5
[[],[[[],[],[]],[]]] => 4
[[],[[[],[[]]],[]]] => 5
[[],[[[[],[]]],[]]] => 5
[[],[[[[[]]]],[]]] => 6
[[],[[[],[[],[]]]]] => 5
[[],[[[],[[[]]]]]] => 6
[[],[[[[]],[[]]]]] => 5
[[],[[[[],[]],[]]]] => 5
[[],[[[[[]]],[]]]] => 6
[[],[[[[],[],[]]]]] => 5
[[],[[[[],[[]]]]]] => 6
[[],[[[[[]],[]]]]] => 6
[[],[[[[[],[]]]]]] => 6
[[],[[[[[[]]]]]]] => 7
[[[]],[],[],[],[],[]] => 3
[[[]],[],[],[],[[]]] => 3
[[[]],[],[],[[]],[]] => 3
[[[]],[],[],[[[]]]] => 4
[[[]],[],[[]],[],[]] => 3
[[[]],[],[[]],[[]]] => 3
[[[]],[],[[[]]],[]] => 4
[[[]],[],[[[[]]]]] => 5
[[[]],[[]],[],[],[]] => 3
[[[]],[[]],[],[[]]] => 3
[[[]],[[]],[[]],[]] => 3
[[[]],[[]],[[[]]]] => 4
[[[]],[[[]]],[],[]] => 4
[[[]],[[[]]],[[]]] => 4
[[[]],[[[[]]]],[]] => 5
[[[]],[[[[[]]]]]] => 6
[[[[]]],[],[],[],[]] => 4
[[[[]]],[],[],[[]]] => 4
[[[[]]],[],[[]],[]] => 4
[[[[]]],[],[[[]]]] => 4
[[[[]]],[[]],[],[]] => 4
[[[[]]],[[]],[[]]] => 4
[[[[]]],[[[]]],[]] => 4
[[[[]]],[[[[]]]]] => 5
[[[[[]]]],[],[],[]] => 5
[[[[[]]]],[],[[]]] => 5
[[[[[]]]],[[]],[]] => 5
[[[[[]]]],[[[]]]] => 5
[[[[[[]]]]],[],[]] => 6
[[[[[[]]]]],[[]]] => 6
[[[],[[[[]]]]],[]] => 6
[[[[[[]]]],[]],[]] => 6
[[[[],[[],[]]]],[]] => 5
[[[[],[[[]]]]],[]] => 6
[[[[[]],[[]]]],[]] => 5
[[[[[],[]],[]]],[]] => 5
[[[[[[]]],[]]],[]] => 6
[[[[[],[],[]]]],[]] => 5
[[[[[],[[]]]]],[]] => 6
[[[[[[]],[]]]],[]] => 6
[[[[[[],[]]]]],[]] => 6
[[[[[[[]]]]]],[]] => 7
[[[],[],[],[],[],[]]] => 3
[[[],[],[],[],[[]]]] => 4
[[[],[],[],[[]],[]]] => 4
[[[],[],[],[[],[]]]] => 4
[[[],[],[],[[[]]]]] => 5
[[[],[],[[]],[],[]]] => 4
[[[],[],[[]],[[]]]] => 4
[[[],[],[[],[]],[]]] => 4
[[[],[],[[[]]],[]]] => 5
[[[],[],[[],[],[]]]] => 4
[[[],[],[[],[[]]]]] => 5
[[[],[],[[[]],[]]]] => 5
[[[],[],[[[],[]]]]] => 5
[[[],[],[[[[]]]]]] => 6
[[[],[[]],[],[],[]]] => 4
[[[],[[]],[],[[]]]] => 4
[[[],[[]],[[]],[]]] => 4
[[[],[[]],[[],[]]]] => 4
[[[],[[]],[[[]]]]] => 5
[[[],[[],[]],[],[]]] => 4
[[[],[[[]]],[],[]]] => 5
[[[],[[],[]],[[]]]] => 4
[[[],[[[]]],[[]]]] => 5
[[[],[[],[],[]],[]]] => 4
[[[],[[],[[]]],[]]] => 5
[[[],[[[]],[]],[]]] => 5
[[[],[[[],[]]],[]]] => 5
[[[],[[[[]]]],[]]] => 6
[[[],[[],[],[],[]]]] => 4
[[[],[[],[],[[]]]]] => 5
[[[],[[],[[]],[]]]] => 5
[[[],[[],[[],[]]]]] => 5
[[[],[[],[[[]]]]]] => 6
[[[],[[[]],[],[]]]] => 5
[[[],[[[]],[[]]]]] => 5
[[[],[[[],[]],[]]]] => 5
[[[],[[[[]]],[]]]] => 6
[[[],[[[],[],[]]]]] => 5
[[[],[[[],[[]]]]]] => 6
[[[],[[[[]],[]]]]] => 6
[[[],[[[[],[]]]]]] => 6
[[[],[[[[[]]]]]]] => 7
[[[[]],[],[],[],[]]] => 4
[[[[]],[],[],[[]]]] => 4
[[[[]],[],[[]],[]]] => 4
[[[[]],[],[[],[]]]] => 4
[[[[]],[],[[[]]]]] => 5
[[[[]],[[]],[],[]]] => 4
[[[[]],[[]],[[]]]] => 4
[[[[]],[[],[]],[]]] => 4
[[[[]],[[[]]],[]]] => 5
[[[[]],[[],[],[]]]] => 4
[[[[]],[[],[[]]]]] => 5
[[[[]],[[[]],[]]]] => 5
[[[[]],[[[],[]]]]] => 5
[[[[]],[[[[]]]]]] => 6
[[[[],[]],[],[],[]]] => 4
[[[[[]]],[],[],[]]] => 5
[[[[],[]],[],[[]]]] => 4
[[[[[]]],[],[[]]]] => 5
[[[[],[]],[[]],[]]] => 4
[[[[[]]],[[]],[]]] => 5
[[[[],[]],[[],[]]]] => 4
[[[[],[]],[[[]]]]] => 5
[[[[[]]],[[],[]]]] => 5
[[[[[]]],[[[]]]]] => 5
[[[[],[],[]],[],[]]] => 4
[[[[],[[]]],[],[]]] => 5
[[[[[]],[]],[],[]]] => 5
[[[[[],[]]],[],[]]] => 5
[[[[[[]]]],[],[]]] => 6
[[[[],[],[]],[[]]]] => 4
[[[[],[[]]],[[]]]] => 5
[[[[[]],[]],[[]]]] => 5
[[[[[],[]]],[[]]]] => 5
[[[[[[]]]],[[]]]] => 6
[[[[],[],[],[]],[]]] => 4
[[[[],[],[[]]],[]]] => 5
[[[[],[[]],[]],[]]] => 5
[[[[],[[],[]]],[]]] => 5
[[[[],[[[]]]],[]]] => 6
[[[[[]],[],[]],[]]] => 5
[[[[[]],[[]]],[]]] => 5
[[[[[],[]],[]],[]]] => 5
[[[[[[]]],[]],[]]] => 6
[[[[[],[],[]]],[]]] => 5
[[[[[],[[]]]],[]]] => 6
[[[[[[]],[]]],[]]] => 6
[[[[[[],[]]]],[]]] => 6
[[[[[[[]]]]],[]]] => 7
[[[[],[],[],[],[]]]] => 4
[[[[],[],[],[[]]]]] => 5
[[[[],[],[[]],[]]]] => 5
[[[[],[],[[],[]]]]] => 5
[[[[],[],[[[]]]]]] => 6
[[[[],[[]],[],[]]]] => 5
[[[[],[[]],[[]]]]] => 5
[[[[],[[],[]],[]]]] => 5
[[[[],[[[]]],[]]]] => 6
[[[[],[[],[],[]]]]] => 5
[[[[],[[],[[]]]]]] => 6
[[[[],[[[]],[]]]]] => 6
[[[[],[[[],[]]]]]] => 6
[[[[],[[[[]]]]]]] => 7
[[[[[]],[],[],[]]]] => 5
[[[[[]],[],[[]]]]] => 5
[[[[[]],[[]],[]]]] => 5
[[[[[]],[[],[]]]]] => 5
[[[[[]],[[[]]]]]] => 6
[[[[[],[]],[],[]]]] => 5
[[[[[[]]],[],[]]]] => 6
[[[[[],[]],[[]]]]] => 5
[[[[[[]]],[[]]]]] => 6
[[[[[],[],[]],[]]]] => 5
[[[[[],[[]]],[]]]] => 6
[[[[[[]],[]],[]]]] => 6
[[[[[[],[]]],[]]]] => 6
[[[[[[[]]]],[]]]] => 7
[[[[[],[],[],[]]]]] => 5
[[[[[],[],[[]]]]]] => 6
[[[[[],[[]],[]]]]] => 6
[[[[[],[[],[]]]]]] => 6
[[[[[],[[[]]]]]]] => 7
[[[[[[]],[],[]]]]] => 6
[[[[[[]],[[]]]]]] => 6
[[[[[[],[]],[]]]]] => 6
[[[[[[[]]],[]]]]] => 7
[[[[[[],[],[]]]]]] => 6
[[[[[[],[[]]]]]]] => 7
[[[[[[[]],[]]]]]] => 7
[[[[[[[],[]]]]]]] => 7
[[[[[[[[]]]]]]]] => 8
[[],[],[],[],[],[],[],[]] => 2
[[],[],[],[],[],[],[[]]] => 3
[[],[],[],[],[],[[],[]]] => 3
[[],[],[],[],[],[[[]]]] => 4
[[],[],[],[],[[],[],[]]] => 3
[[],[],[],[],[[[]],[]]] => 4
[[],[],[],[],[[[],[]]]] => 4
[[],[],[],[],[[[[]]]]] => 5
[[],[],[],[[],[],[],[]]] => 3
[[],[],[],[[[]],[],[]]] => 4
[[],[],[],[[[],[]],[]]] => 4
[[],[],[],[[[[]]],[]]] => 5
[[],[],[[],[],[],[],[]]] => 3
[[],[],[[[]],[],[],[]]] => 4
[[],[],[[[],[]],[],[]]] => 4
[[],[],[[[[]]],[],[]]] => 5
[[],[[],[],[],[],[],[]]] => 3
[[],[[],[[],[[],[]]]]] => 5
[[],[[],[[[],[]],[]]]] => 5
[[],[[[]],[],[],[],[]]] => 4
[[],[[[],[]],[],[],[]]] => 4
[[],[[[[]]],[],[],[]]] => 5
[[],[[[],[]],[[],[]]]] => 4
[[],[[[],[[],[]]],[]]] => 5
[[],[[[[],[]],[]],[]]] => 5
[[],[[[[],[[[]]]]]]] => 7
[[],[[[[[[]]],[]]]]] => 7
[[],[[[[[],[],[]]]]]] => 6
[[],[[[[[],[[]]]]]]] => 7
[[],[[[[[[]],[]]]]]] => 7
[[],[[[[[[],[]]]]]]] => 7
[[],[[[[[[[]]]]]]]] => 8
[[[]],[[]],[[]],[[]]] => 3
[[[]],[[]],[[[]],[]]] => 4
[[[]],[[[]],[]],[[]]] => 4
[[[]],[[[]],[[]],[]]] => 4
[[[]],[[[[]],[]],[]]] => 5
[[[],[]],[[],[[],[]]]] => 4
[[[],[]],[[[],[]],[]]] => 4
[[[[]],[]],[[]],[[]]] => 4
[[[[]],[]],[[[]],[]]] => 4
[[[],[[],[]]],[[],[]]] => 4
[[[[],[]],[]],[[],[]]] => 4
[[[[]],[[]],[]],[[]]] => 4
[[[[[]],[]],[]],[[]]] => 5
[[[],[[],[[],[]]]],[]] => 5
[[[],[[[],[]],[]]],[]] => 5
[[[[],[]],[[],[]]],[]] => 4
[[[[],[[],[]]],[]],[]] => 5
[[[[[],[]],[]],[]],[]] => 5
[[[[[],[[[]]]]]],[]] => 7
[[[[[[[]]],[]]]],[]] => 7
[[[[[[],[],[]]]]],[]] => 6
[[[[[[],[[]]]]]],[]] => 7
[[[[[[[]],[]]]]],[]] => 7
[[[[[[[],[]]]]]],[]] => 7
[[[[[[[[]]]]]]],[]] => 8
[[[],[],[],[],[],[],[]]] => 3
[[[[]],[],[],[],[],[]]] => 4
[[[[]],[[]],[[]],[]]] => 4
[[[[]],[[[]],[]],[]]] => 5
[[[[],[]],[],[],[],[]]] => 4
[[[[[]]],[],[],[],[]]] => 5
[[[[[]],[]],[[]],[]]] => 5
[[[[[]],[[]],[]],[]]] => 5
[[[[[[]],[]],[]],[]]] => 6
[[[[[[[[[]]]]]]]],[]] => 9
[[],[[[[[[[[]]]]]]]]] => 9
[[[[[[[[],[]]]]]]],[]] => 8
[[],[[[[[[[],[]]]]]]]] => 8
[[[[[[[[]],[]]]]]],[]] => 8
[[[[[[[],[[]]]]]]],[]] => 8
[[],[[[[[[[]],[]]]]]]] => 8
[[],[[[[[[],[[]]]]]]]] => 8
[[],[],[],[],[],[],[],[],[]] => 2
[[],[],[],[],[],[],[],[[]]] => 3
[[],[],[],[],[],[],[[],[]]] => 3
[[],[],[],[],[],[[],[],[]]] => 3
[[],[],[],[],[[],[],[],[]]] => 3
[[],[],[],[[],[],[],[],[]]] => 3
[[],[],[[],[],[],[],[],[]]] => 3
[[],[[],[],[],[],[],[],[]]] => 3
[[[],[],[],[],[],[],[],[]]] => 3
[[],[],[],[],[],[],[[[]]]] => 4
[[],[],[],[],[],[[[]],[]]] => 4
[[],[],[],[],[[[]],[],[]]] => 4
[[],[],[],[[[]],[],[],[]]] => 4
[[],[],[[[]],[],[],[],[]]] => 4
[[],[[[]],[],[],[],[],[]]] => 4
[[[[]],[],[],[],[],[],[]]] => 4
[[],[[],[[],[[],[[],[]]]]]] => 6
[[],[[],[[],[[[],[]],[]]]]] => 6
[[],[[],[[[],[]],[[],[]]]]] => 5
[[],[[],[[[],[[],[]]],[]]]] => 6
[[],[[],[[[[],[]],[]],[]]]] => 6
[[],[[[],[]],[[],[[],[]]]]] => 5
[[],[[[],[]],[[[],[]],[]]]] => 5
[[],[[[],[[],[]]],[[],[]]]] => 5
[[],[[[[],[]],[]],[[],[]]]] => 5
[[],[[[],[[],[[],[]]]],[]]] => 6
[[],[[[],[[[],[]],[]]],[]]] => 6
[[],[[[[],[]],[[],[]]],[]]] => 5
[[],[[[[],[[],[]]],[]],[]]] => 6
[[],[[[[[],[]],[]],[]],[]]] => 6
[[[],[]],[[],[[],[[],[]]]]] => 5
[[[],[]],[[],[[[],[]],[]]]] => 5
[[[],[]],[[[],[]],[[],[]]]] => 4
[[[],[]],[[[],[[],[]]],[]]] => 5
[[[],[]],[[[[],[]],[]],[]]] => 5
[[[],[[],[]]],[[],[[],[]]]] => 4
[[[],[[],[]]],[[[],[]],[]]] => 4
[[[[],[]],[]],[[],[[],[]]]] => 4
[[[[],[]],[]],[[[],[]],[]]] => 4
[[[],[[],[[],[]]]],[[],[]]] => 5
[[[],[[[],[]],[]]],[[],[]]] => 5
[[[[],[]],[[],[]]],[[],[]]] => 4
[[[[],[[],[]]],[]],[[],[]]] => 5
[[[[[],[]],[]],[]],[[],[]]] => 5
[[[],[[],[[],[[],[]]]]],[]] => 6
[[[],[[],[[[],[]],[]]]],[]] => 6
[[[],[[[],[]],[[],[]]]],[]] => 5
[[[],[[[],[[],[]]],[]]],[]] => 6
[[[],[[[[],[]],[]],[]]],[]] => 6
[[[[],[]],[[],[[],[]]]],[]] => 5
[[[[],[]],[[[],[]],[]]],[]] => 5
[[[[],[[],[]]],[[],[]]],[]] => 5
[[[[[],[]],[]],[[],[]]],[]] => 5
[[[[],[[],[[],[]]]],[]],[]] => 6
[[[[],[[[],[]],[]]],[]],[]] => 6
[[[[[],[]],[[],[]]],[]],[]] => 5
[[[[[],[[],[]]],[]],[]],[]] => 6
[[[[[[],[]],[]],[]],[]],[]] => 6
[[[[[[[[[[]]]]]]]]],[]] => 10
[[],[[[[[[[[[]]]]]]]]]] => 10
[[[[[[[[[],[]]]]]]]],[]] => 9
[[],[[[[[[[[],[]]]]]]]]] => 9
[[],[],[],[],[],[],[],[],[],[]] => 2
[[],[],[],[],[],[],[],[],[[]]] => 3
[[],[],[],[],[],[],[],[[],[]]] => 3
[[],[],[],[],[],[],[[],[],[]]] => 3
[[],[],[],[],[],[[],[],[],[]]] => 3
[[],[],[],[],[[],[],[],[],[]]] => 3
[[],[],[],[[],[],[],[],[],[]]] => 3
[[],[],[[],[],[],[],[],[],[]]] => 3
[[],[[],[],[],[],[],[],[],[]]] => 3
[[[],[],[],[],[],[],[],[],[]]] => 3
[[[[[[[[[[[]]]]]]]]]],[]] => 11
[[],[[[[[[[[[[]]]]]]]]]]] => 11
[[],[[],[[],[[],[[],[[],[]]]]]]] => 7
[[],[[],[[],[[],[[[],[]],[]]]]]] => 7
[[],[[],[[],[[[],[]],[[],[]]]]]] => 6
[[],[[],[[],[[[],[[],[]]],[]]]]] => 7
[[],[[],[[],[[[[],[]],[]],[]]]]] => 7
[[],[[],[[[],[]],[[],[[],[]]]]]] => 6
[[],[[],[[[],[]],[[[],[]],[]]]]] => 6
[[],[[],[[[],[[],[]]],[[],[]]]]] => 6
[[],[[],[[[[],[]],[]],[[],[]]]]] => 6
[[],[[],[[[],[[],[[],[]]]],[]]]] => 7
[[],[[],[[[],[[[],[]],[]]],[]]]] => 7
[[],[[],[[[[],[]],[[],[]]],[]]]] => 6
[[],[[],[[[[],[[],[]]],[]],[]]]] => 7
[[],[[],[[[[[],[]],[]],[]],[]]]] => 7
[[],[[[],[]],[[],[[],[[],[]]]]]] => 6
[[],[[[],[]],[[],[[[],[]],[]]]]] => 6
[[],[[[],[]],[[[],[]],[[],[]]]]] => 5
[[],[[[],[]],[[[],[[],[]]],[]]]] => 6
[[],[[[],[]],[[[[],[]],[]],[]]]] => 6
[[],[[[],[[],[]]],[[],[[],[]]]]] => 5
[[],[[[],[[],[]]],[[[],[]],[]]]] => 5
[[],[[[[],[]],[]],[[],[[],[]]]]] => 5
[[],[[[[],[]],[]],[[[],[]],[]]]] => 5
[[],[[[],[[],[[],[]]]],[[],[]]]] => 6
[[],[[[],[[[],[]],[]]],[[],[]]]] => 6
[[],[[[[],[]],[[],[]]],[[],[]]]] => 5
[[],[[[[],[[],[]]],[]],[[],[]]]] => 6
[[],[[[[[],[]],[]],[]],[[],[]]]] => 6
[[],[[[],[[],[[],[[],[]]]]],[]]] => 7
[[],[[[],[[],[[[],[]],[]]]],[]]] => 7
[[],[[[],[[[],[]],[[],[]]]],[]]] => 6
[[],[[[],[[[],[[],[]]],[]]],[]]] => 7
[[],[[[],[[[[],[]],[]],[]]],[]]] => 7
[[],[[[[],[]],[[],[[],[]]]],[]]] => 6
[[],[[[[],[]],[[[],[]],[]]],[]]] => 6
[[],[[[[],[[],[]]],[[],[]]],[]]] => 6
[[],[[[[[],[]],[]],[[],[]]],[]]] => 6
[[],[[[[],[[],[[],[]]]],[]],[]]] => 7
[[],[[[[],[[[],[]],[]]],[]],[]]] => 7
[[],[[[[[],[]],[[],[]]],[]],[]]] => 6
[[],[[[[[],[[],[]]],[]],[]],[]]] => 7
[[],[[[[[[],[]],[]],[]],[]],[]]] => 7
[[[],[]],[[],[[],[[],[[],[]]]]]] => 6
[[[],[]],[[],[[],[[[],[]],[]]]]] => 6
[[[],[]],[[],[[[],[]],[[],[]]]]] => 5
[[[],[]],[[],[[[],[[],[]]],[]]]] => 6
[[[],[]],[[],[[[[],[]],[]],[]]]] => 6
[[[],[]],[[[],[]],[[],[[],[]]]]] => 5
[[[],[]],[[[],[]],[[[],[]],[]]]] => 5
[[[],[]],[[[],[[],[]]],[[],[]]]] => 5
[[[],[]],[[[[],[]],[]],[[],[]]]] => 5
[[[],[]],[[[],[[],[[],[]]]],[]]] => 6
[[[],[]],[[[],[[[],[]],[]]],[]]] => 6
[[[],[]],[[[[],[]],[[],[]]],[]]] => 5
[[[],[]],[[[[],[[],[]]],[]],[]]] => 6
[[[],[]],[[[[[],[]],[]],[]],[]]] => 6
[[[],[[],[]]],[[],[[],[[],[]]]]] => 5
[[[],[[],[]]],[[],[[[],[]],[]]]] => 5
[[[],[[],[]]],[[[],[]],[[],[]]]] => 4
[[[],[[],[]]],[[[],[[],[]]],[]]] => 5
[[[],[[],[]]],[[[[],[]],[]],[]]] => 5
[[[[],[]],[]],[[],[[],[[],[]]]]] => 5
[[[[],[]],[]],[[],[[[],[]],[]]]] => 5
[[[[],[]],[]],[[[],[]],[[],[]]]] => 4
[[[[],[]],[]],[[[],[[],[]]],[]]] => 5
[[[[],[]],[]],[[[[],[]],[]],[]]] => 5
[[[],[[],[[],[]]]],[[],[[],[]]]] => 5
[[[],[[],[[],[]]]],[[[],[]],[]]] => 5
[[[],[[[],[]],[]]],[[],[[],[]]]] => 5
[[[],[[[],[]],[]]],[[[],[]],[]]] => 5
[[[[],[]],[[],[]]],[[],[[],[]]]] => 4
[[[[],[]],[[],[]]],[[[],[]],[]]] => 4
[[[[],[[],[]]],[]],[[],[[],[]]]] => 5
[[[[],[[],[]]],[]],[[[],[]],[]]] => 5
[[[[[],[]],[]],[]],[[],[[],[]]]] => 5
[[[[[],[]],[]],[]],[[[],[]],[]]] => 5
[[[],[[],[[],[[],[]]]]],[[],[]]] => 6
[[[],[[],[[[],[]],[]]]],[[],[]]] => 6
[[[],[[[],[]],[[],[]]]],[[],[]]] => 5
[[[],[[[],[[],[]]],[]]],[[],[]]] => 6
[[[],[[[[],[]],[]],[]]],[[],[]]] => 6
[[[[],[]],[[],[[],[]]]],[[],[]]] => 5
[[[[],[]],[[[],[]],[]]],[[],[]]] => 5
[[[[],[[],[]]],[[],[]]],[[],[]]] => 5
[[[[[],[]],[]],[[],[]]],[[],[]]] => 5
[[[[],[[],[[],[]]]],[]],[[],[]]] => 6
[[[[],[[[],[]],[]]],[]],[[],[]]] => 6
[[[[[],[]],[[],[]]],[]],[[],[]]] => 5
[[[[[],[[],[]]],[]],[]],[[],[]]] => 6
[[[[[[],[]],[]],[]],[]],[[],[]]] => 6
[[[],[[],[[],[[],[[],[]]]]]],[]] => 7
[[[],[[],[[],[[[],[]],[]]]]],[]] => 7
[[[],[[],[[[],[]],[[],[]]]]],[]] => 6
[[[],[[],[[[],[[],[]]],[]]]],[]] => 7
[[[],[[],[[[[],[]],[]],[]]]],[]] => 7
[[[],[[[],[]],[[],[[],[]]]]],[]] => 6
[[[],[[[],[]],[[[],[]],[]]]],[]] => 6
[[[],[[[],[[],[]]],[[],[]]]],[]] => 6
[[[],[[[[],[]],[]],[[],[]]]],[]] => 6
[[[],[[[],[[],[[],[]]]],[]]],[]] => 7
[[[],[[[],[[[],[]],[]]],[]]],[]] => 7
[[[],[[[[],[]],[[],[]]],[]]],[]] => 6
[[[],[[[[],[[],[]]],[]],[]]],[]] => 7
[[[],[[[[[],[]],[]],[]],[]]],[]] => 7
[[[[],[]],[[],[[],[[],[]]]]],[]] => 6
[[[[],[]],[[],[[[],[]],[]]]],[]] => 6
[[[[],[]],[[[],[]],[[],[]]]],[]] => 5
[[[[],[]],[[[],[[],[]]],[]]],[]] => 6
[[[[],[]],[[[[],[]],[]],[]]],[]] => 6
[[[[],[[],[]]],[[],[[],[]]]],[]] => 5
[[[[],[[],[]]],[[[],[]],[]]],[]] => 5
[[[[[],[]],[]],[[],[[],[]]]],[]] => 5
[[[[[],[]],[]],[[[],[]],[]]],[]] => 5
[[[[],[[],[[],[]]]],[[],[]]],[]] => 6
[[[[],[[[],[]],[]]],[[],[]]],[]] => 6
[[[[[],[]],[[],[]]],[[],[]]],[]] => 5
[[[[[],[[],[]]],[]],[[],[]]],[]] => 6
[[[[[[],[]],[]],[]],[[],[]]],[]] => 6
[[[[],[[],[[],[[],[]]]]],[]],[]] => 7
[[[[],[[],[[[],[]],[]]]],[]],[]] => 7
[[[[],[[[],[]],[[],[]]]],[]],[]] => 6
[[[[],[[[],[[],[]]],[]]],[]],[]] => 7
[[[[],[[[[],[]],[]],[]]],[]],[]] => 7
[[[[[],[]],[[],[[],[]]]],[]],[]] => 6
[[[[[],[]],[[[],[]],[]]],[]],[]] => 6
[[[[[],[[],[]]],[[],[]]],[]],[]] => 6
[[[[[[],[]],[]],[[],[]]],[]],[]] => 6
[[[[[],[[],[[],[]]]],[]],[]],[]] => 7
[[[[[],[[[],[]],[]]],[]],[]],[]] => 7
[[[[[[],[]],[[],[]]],[]],[]],[]] => 6
[[[[[[],[[],[]]],[]],[]],[]],[]] => 7
[[[[[[[],[]],[]],[]],[]],[]],[]] => 7
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
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Description
The depth of an ordered tree.
Code
def statistic(t):
    return t.depth()
Created
Jun 13, 2013 at 16:39 by Chris Berg
Updated
Jun 26, 2025 at 19:26 by Martin Rubey