Identifier
Identifier
Values
[[]] generating graphics... => 0
[[],[]] generating graphics... => 0
[[[]]] generating graphics... => 1
[[],[],[]] generating graphics... => 0
[[],[[]]] generating graphics... => 0
[[[]],[]] generating graphics... => 0
[[[],[]]] generating graphics... => 1
[[[[]]]] generating graphics... => 1
[[],[],[],[]] generating graphics... => 0
[[],[],[[]]] generating graphics... => 0
[[],[[]],[]] generating graphics... => 0
[[],[[],[]]] generating graphics... => 0
[[],[[[]]]] generating graphics... => 1
[[[]],[],[]] generating graphics... => 0
[[[]],[[]]] generating graphics... => 1
[[[],[]],[]] generating graphics... => 0
[[[[]]],[]] generating graphics... => 1
[[[],[],[]]] generating graphics... => 1
[[[],[[]]]] generating graphics... => 1
[[[[]],[]]] generating graphics... => 1
[[[[],[]]]] generating graphics... => 1
[[[[[]]]]] generating graphics... => 1
[[],[],[],[],[]] generating graphics... => 0
[[],[],[],[[]]] generating graphics... => 0
[[],[],[[]],[]] generating graphics... => 0
[[],[],[[],[]]] generating graphics... => 0
[[],[],[[[]]]] generating graphics... => 1
[[],[[]],[],[]] generating graphics... => 0
[[],[[]],[[]]] generating graphics... => 0
[[],[[],[]],[]] generating graphics... => 0
[[],[[[]]],[]] generating graphics... => 1
[[],[[],[],[]]] generating graphics... => 0
[[],[[],[[]]]] generating graphics... => 0
[[],[[[]],[]]] generating graphics... => 0
[[],[[[],[]]]] generating graphics... => 1
[[],[[[[]]]]] generating graphics... => 1
[[[]],[],[],[]] generating graphics... => 0
[[[]],[],[[]]] generating graphics... => 0
[[[]],[[]],[]] generating graphics... => 0
[[[]],[[],[]]] generating graphics... => 1
[[[]],[[[]]]] generating graphics... => 2
[[[],[]],[],[]] generating graphics... => 0
[[[[]]],[],[]] generating graphics... => 1
[[[],[]],[[]]] generating graphics... => 1
[[[[]]],[[]]] generating graphics... => 2
[[[],[],[]],[]] generating graphics... => 0
[[[],[[]]],[]] generating graphics... => 0
[[[[]],[]],[]] generating graphics... => 0
[[[[],[]]],[]] generating graphics... => 1
[[[[[]]]],[]] generating graphics... => 1
[[[],[],[],[]]] generating graphics... => 1
[[[],[],[[]]]] generating graphics... => 1
[[[],[[]],[]]] generating graphics... => 1
[[[],[[],[]]]] generating graphics... => 1
[[[],[[[]]]]] generating graphics... => 2
[[[[]],[],[]]] generating graphics... => 1
[[[[]],[[]]]] generating graphics... => 1
[[[[],[]],[]]] generating graphics... => 1
[[[[[]]],[]]] generating graphics... => 2
[[[[],[],[]]]] generating graphics... => 1
[[[[],[[]]]]] generating graphics... => 1
[[[[[]],[]]]] generating graphics... => 1
[[[[[],[]]]]] generating graphics... => 1
[[[[[[]]]]]] generating graphics... => 1
[[],[],[],[],[],[]] generating graphics... => 0
[[],[],[],[],[[]]] generating graphics... => 0
[[],[],[],[[]],[]] generating graphics... => 0
[[],[],[],[[],[]]] generating graphics... => 0
[[],[],[],[[[]]]] generating graphics... => 1
[[],[],[[]],[],[]] generating graphics... => 0
[[],[],[[]],[[]]] generating graphics... => 0
[[],[],[[],[]],[]] generating graphics... => 0
[[],[],[[[]]],[]] generating graphics... => 1
[[],[],[[],[],[]]] generating graphics... => 0
[[],[],[[],[[]]]] generating graphics... => 0
[[],[],[[[]],[]]] generating graphics... => 0
[[],[],[[[],[]]]] generating graphics... => 1
[[],[],[[[[]]]]] generating graphics... => 1
[[],[[]],[],[],[]] generating graphics... => 0
[[],[[]],[],[[]]] generating graphics... => 0
[[],[[]],[[]],[]] generating graphics... => 0
[[],[[]],[[],[]]] generating graphics... => 0
[[],[[]],[[[]]]] generating graphics... => 1
[[],[[],[]],[],[]] generating graphics... => 0
[[],[[[]]],[],[]] generating graphics... => 1
[[],[[],[]],[[]]] generating graphics... => 0
[[],[[[]]],[[]]] generating graphics... => 1
[[],[[],[],[]],[]] generating graphics... => 0
[[],[[],[[]]],[]] generating graphics... => 0
[[],[[[]],[]],[]] generating graphics... => 0
[[],[[[],[]]],[]] generating graphics... => 1
[[],[[[[]]]],[]] generating graphics... => 1
[[],[[],[],[],[]]] generating graphics... => 0
[[],[[],[],[[]]]] generating graphics... => 0
[[],[[],[[]],[]]] generating graphics... => 0
[[],[[],[[],[]]]] generating graphics... => 0
[[],[[],[[[]]]]] generating graphics... => 1
[[],[[[]],[],[]]] generating graphics... => 0
[[],[[[]],[[]]]] generating graphics... => 1
[[],[[[],[]],[]]] generating graphics... => 0
[[],[[[[]]],[]]] generating graphics... => 1
[[],[[[],[],[]]]] generating graphics... => 1
[[],[[[],[[]]]]] generating graphics... => 1
[[],[[[[]],[]]]] generating graphics... => 1
[[],[[[[],[]]]]] generating graphics... => 1
[[],[[[[[]]]]]] generating graphics... => 1
[[[]],[],[],[],[]] generating graphics... => 0
[[[]],[],[],[[]]] generating graphics... => 0
[[[]],[],[[]],[]] generating graphics... => 0
[[[]],[],[[],[]]] generating graphics... => 0
[[[]],[],[[[]]]] generating graphics... => 1
[[[]],[[]],[],[]] generating graphics... => 0
[[[]],[[]],[[]]] generating graphics... => 1
[[[]],[[],[]],[]] generating graphics... => 0
[[[]],[[[]]],[]] generating graphics... => 1
[[[]],[[],[],[]]] generating graphics... => 1
[[[]],[[],[[]]]] generating graphics... => 1
[[[]],[[[]],[]]] generating graphics... => 1
[[[]],[[[],[]]]] generating graphics... => 2
[[[]],[[[[]]]]] generating graphics... => 2
[[[],[]],[],[],[]] generating graphics... => 0
[[[[]]],[],[],[]] generating graphics... => 1
[[[],[]],[],[[]]] generating graphics... => 0
[[[[]]],[],[[]]] generating graphics... => 1
[[[],[]],[[]],[]] generating graphics... => 0
[[[[]]],[[]],[]] generating graphics... => 1
[[[],[]],[[],[]]] generating graphics... => 1
[[[],[]],[[[]]]] generating graphics... => 2
[[[[]]],[[],[]]] generating graphics... => 2
[[[[]]],[[[]]]] generating graphics... => 2
[[[],[],[]],[],[]] generating graphics... => 0
[[[],[[]]],[],[]] generating graphics... => 0
[[[[]],[]],[],[]] generating graphics... => 0
[[[[],[]]],[],[]] generating graphics... => 1
[[[[[]]]],[],[]] generating graphics... => 1
[[[],[],[]],[[]]] generating graphics... => 1
[[[],[[]]],[[]]] generating graphics... => 1
[[[[]],[]],[[]]] generating graphics... => 1
[[[[],[]]],[[]]] generating graphics... => 2
[[[[[]]]],[[]]] generating graphics... => 2
[[[],[],[],[]],[]] generating graphics... => 0
[[[],[],[[]]],[]] generating graphics... => 0
[[[],[[]],[]],[]] generating graphics... => 0
[[[],[[],[]]],[]] generating graphics... => 0
[[[],[[[]]]],[]] generating graphics... => 1
[[[[]],[],[]],[]] generating graphics... => 0
[[[[]],[[]]],[]] generating graphics... => 1
[[[[],[]],[]],[]] generating graphics... => 0
[[[[[]]],[]],[]] generating graphics... => 1
[[[[],[],[]]],[]] generating graphics... => 1
[[[[],[[]]]],[]] generating graphics... => 1
[[[[[]],[]]],[]] generating graphics... => 1
[[[[[],[]]]],[]] generating graphics... => 1
[[[[[[]]]]],[]] generating graphics... => 1
[[[],[],[],[],[]]] generating graphics... => 1
[[[],[],[],[[]]]] generating graphics... => 1
[[[],[],[[]],[]]] generating graphics... => 1
[[[],[],[[],[]]]] generating graphics... => 1
[[[],[],[[[]]]]] generating graphics... => 2
[[[],[[]],[],[]]] generating graphics... => 1
[[[],[[]],[[]]]] generating graphics... => 1
[[[],[[],[]],[]]] generating graphics... => 1
[[[],[[[]]],[]]] generating graphics... => 2
[[[],[[],[],[]]]] generating graphics... => 1
[[[],[[],[[]]]]] generating graphics... => 1
[[[],[[[]],[]]]] generating graphics... => 1
[[[],[[[],[]]]]] generating graphics... => 2
[[[],[[[[]]]]]] generating graphics... => 2
[[[[]],[],[],[]]] generating graphics... => 1
[[[[]],[],[[]]]] generating graphics... => 1
[[[[]],[[]],[]]] generating graphics... => 1
[[[[]],[[],[]]]] generating graphics... => 1
[[[[]],[[[]]]]] generating graphics... => 2
[[[[],[]],[],[]]] generating graphics... => 1
[[[[[]]],[],[]]] generating graphics... => 2
[[[[],[]],[[]]]] generating graphics... => 1
[[[[[]]],[[]]]] generating graphics... => 2
[[[[],[],[]],[]]] generating graphics... => 1
[[[[],[[]]],[]]] generating graphics... => 1
[[[[[]],[]],[]]] generating graphics... => 1
[[[[[],[]]],[]]] generating graphics... => 2
[[[[[[]]]],[]]] generating graphics... => 2
[[[[],[],[],[]]]] generating graphics... => 1
[[[[],[],[[]]]]] generating graphics... => 1
[[[[],[[]],[]]]] generating graphics... => 1
[[[[],[[],[]]]]] generating graphics... => 1
[[[[],[[[]]]]]] generating graphics... => 2
[[[[[]],[],[]]]] generating graphics... => 1
[[[[[]],[[]]]]] generating graphics... => 1
[[[[[],[]],[]]]] generating graphics... => 1
[[[[[[]]],[]]]] generating graphics... => 2
[[[[[],[],[]]]]] generating graphics... => 1
[[[[[],[[]]]]]] generating graphics... => 1
[[[[[[]],[]]]]] generating graphics... => 1
[[[[[[],[]]]]]] generating graphics... => 1
[[[[[[[]]]]]]] generating graphics... => 1
[[],[],[],[],[],[],[]] generating graphics... => 0
[[],[],[],[],[],[[]]] generating graphics... => 0
[[],[],[],[],[[]],[]] generating graphics... => 0
[[],[],[],[],[[],[]]] generating graphics... => 0
[[],[],[],[],[[[]]]] generating graphics... => 1
[[],[],[],[[]],[],[]] generating graphics... => 0
[[],[],[],[[]],[[]]] generating graphics... => 0
[[],[],[],[[],[]],[]] generating graphics... => 0
[[],[],[],[[[]]],[]] generating graphics... => 1
[[],[],[],[[],[],[]]] generating graphics... => 0
[[],[],[],[[],[[]]]] generating graphics... => 0
[[],[],[],[[[]],[]]] generating graphics... => 0
[[],[],[],[[[],[]]]] generating graphics... => 1
[[],[],[],[[[[]]]]] generating graphics... => 1
[[],[],[[]],[],[],[]] generating graphics... => 0
[[],[],[[]],[],[[]]] generating graphics... => 0
[[],[],[[]],[[]],[]] generating graphics... => 0
[[],[],[[]],[[],[]]] generating graphics... => 0
[[],[],[[]],[[[]]]] generating graphics... => 1
[[],[],[[],[]],[],[]] generating graphics... => 0
[[],[],[[[]]],[],[]] generating graphics... => 1
[[],[],[[],[]],[[]]] generating graphics... => 0
[[],[],[[[]]],[[]]] generating graphics... => 1
[[],[],[[],[],[]],[]] generating graphics... => 0
[[],[],[[],[[]]],[]] generating graphics... => 0
[[],[],[[[]],[]],[]] generating graphics... => 0
[[],[],[[[],[]]],[]] generating graphics... => 1
[[],[],[[[[]]]],[]] generating graphics... => 1
[[],[],[[],[],[],[]]] generating graphics... => 0
[[],[],[[],[],[[]]]] generating graphics... => 0
[[],[],[[],[[]],[]]] generating graphics... => 0
[[],[],[[],[[],[]]]] generating graphics... => 0
[[],[],[[],[[[]]]]] generating graphics... => 1
[[],[],[[[]],[],[]]] generating graphics... => 0
[[],[],[[[]],[[]]]] generating graphics... => 1
[[],[],[[[],[]],[]]] generating graphics... => 0
[[],[],[[[[]]],[]]] generating graphics... => 1
[[],[],[[[],[],[]]]] generating graphics... => 1
[[],[],[[[],[[]]]]] generating graphics... => 1
[[],[],[[[[]],[]]]] generating graphics... => 1
[[],[],[[[[],[]]]]] generating graphics... => 1
[[],[],[[[[[]]]]]] generating graphics... => 1
[[],[[]],[],[],[],[]] generating graphics... => 0
[[],[[]],[],[],[[]]] generating graphics... => 0
[[],[[]],[],[[]],[]] generating graphics... => 0
[[],[[]],[],[[],[]]] generating graphics... => 0
[[],[[]],[],[[[]]]] generating graphics... => 1
[[],[[]],[[]],[],[]] generating graphics... => 0
[[],[[]],[[]],[[]]] generating graphics... => 0
[[],[[]],[[],[]],[]] generating graphics... => 0
[[],[[]],[[[]]],[]] generating graphics... => 1
[[],[[]],[[],[],[]]] generating graphics... => 0
[[],[[]],[[],[[]]]] generating graphics... => 0
[[],[[]],[[[]],[]]] generating graphics... => 0
[[],[[]],[[[],[]]]] generating graphics... => 1
[[],[[]],[[[[]]]]] generating graphics... => 1
[[],[[],[]],[],[],[]] generating graphics... => 0
[[],[[[]]],[],[],[]] generating graphics... => 1
[[],[[],[]],[],[[]]] generating graphics... => 0
[[],[[[]]],[],[[]]] generating graphics... => 1
[[],[[],[]],[[]],[]] generating graphics... => 0
[[],[[[]]],[[]],[]] generating graphics... => 1
[[],[[],[]],[[],[]]] generating graphics... => 0
[[],[[],[]],[[[]]]] generating graphics... => 1
[[],[[[]]],[[],[]]] generating graphics... => 1
[[],[[[]]],[[[]]]] generating graphics... => 2
[[],[[],[],[]],[],[]] generating graphics... => 0
[[],[[],[[]]],[],[]] generating graphics... => 0
[[],[[[]],[]],[],[]] generating graphics... => 0
[[],[[[],[]]],[],[]] generating graphics... => 1
[[],[[[[]]]],[],[]] generating graphics... => 1
[[],[[],[],[]],[[]]] generating graphics... => 0
[[],[[],[[]]],[[]]] generating graphics... => 0
[[],[[[]],[]],[[]]] generating graphics... => 0
[[],[[[],[]]],[[]]] generating graphics... => 1
[[],[[[[]]]],[[]]] generating graphics... => 1
[[],[[],[],[],[]],[]] generating graphics... => 0
[[],[[],[],[[]]],[]] generating graphics... => 0
[[],[[],[[]],[]],[]] generating graphics... => 0
[[],[[],[[],[]]],[]] generating graphics... => 0
[[],[[],[[[]]]],[]] generating graphics... => 1
[[],[[[]],[],[]],[]] generating graphics... => 0
[[],[[[]],[[]]],[]] generating graphics... => 1
[[],[[[],[]],[]],[]] generating graphics... => 0
[[],[[[[]]],[]],[]] generating graphics... => 1
[[],[[[],[],[]]],[]] generating graphics... => 1
[[],[[[],[[]]]],[]] generating graphics... => 1
[[],[[[[]],[]]],[]] generating graphics... => 1
[[],[[[[],[]]]],[]] generating graphics... => 1
[[],[[[[[]]]]],[]] generating graphics... => 1
[[],[[],[],[],[],[]]] generating graphics... => 0
[[],[[],[],[],[[]]]] generating graphics... => 0
[[],[[],[],[[]],[]]] generating graphics... => 0
[[],[[],[],[[],[]]]] generating graphics... => 0
[[],[[],[],[[[]]]]] generating graphics... => 1
[[],[[],[[]],[],[]]] generating graphics... => 0
[[],[[],[[]],[[]]]] generating graphics... => 0
[[],[[],[[],[]],[]]] generating graphics... => 0
[[],[[],[[[]]],[]]] generating graphics... => 1
[[],[[],[[],[],[]]]] generating graphics... => 0
[[],[[],[[],[[]]]]] generating graphics... => 0
[[],[[],[[[]],[]]]] generating graphics... => 0
[[],[[],[[[],[]]]]] generating graphics... => 1
[[],[[],[[[[]]]]]] generating graphics... => 1
[[],[[[]],[],[],[]]] generating graphics... => 0
[[],[[[]],[],[[]]]] generating graphics... => 0
[[],[[[]],[[]],[]]] generating graphics... => 0
[[],[[[]],[[],[]]]] generating graphics... => 1
[[],[[[]],[[[]]]]] generating graphics... => 2
[[],[[[],[]],[],[]]] generating graphics... => 0
[[],[[[[]]],[],[]]] generating graphics... => 1
[[],[[[],[]],[[]]]] generating graphics... => 1
[[],[[[[]]],[[]]]] generating graphics... => 2
[[],[[[],[],[]],[]]] generating graphics... => 0
[[],[[[],[[]]],[]]] generating graphics... => 0
[[],[[[[]],[]],[]]] generating graphics... => 0
[[],[[[[],[]]],[]]] generating graphics... => 1
[[],[[[[[]]]],[]]] generating graphics... => 1
[[],[[[],[],[],[]]]] generating graphics... => 1
[[],[[[],[],[[]]]]] generating graphics... => 1
[[],[[[],[[]],[]]]] generating graphics... => 1
[[],[[[],[[],[]]]]] generating graphics... => 1
[[],[[[],[[[]]]]]] generating graphics... => 2
[[],[[[[]],[],[]]]] generating graphics... => 1
[[],[[[[]],[[]]]]] generating graphics... => 1
[[],[[[[],[]],[]]]] generating graphics... => 1
[[],[[[[[]]],[]]]] generating graphics... => 2
[[],[[[[],[],[]]]]] generating graphics... => 1
[[],[[[[],[[]]]]]] generating graphics... => 1
[[],[[[[[]],[]]]]] generating graphics... => 1
[[],[[[[[],[]]]]]] generating graphics... => 1
[[],[[[[[[]]]]]]] generating graphics... => 1
[[[]],[],[],[],[],[]] generating graphics... => 0
[[[]],[],[],[],[[]]] generating graphics... => 0
[[[]],[],[],[[]],[]] generating graphics... => 0
[[[]],[],[],[[],[]]] generating graphics... => 0
[[[]],[],[],[[[]]]] generating graphics... => 1
[[[]],[],[[]],[],[]] generating graphics... => 0
[[[]],[],[[]],[[]]] generating graphics... => 0
[[[]],[],[[],[]],[]] generating graphics... => 0
[[[]],[],[[[]]],[]] generating graphics... => 1
[[[]],[],[[],[],[]]] generating graphics... => 0
[[[]],[],[[],[[]]]] generating graphics... => 0
[[[]],[],[[[]],[]]] generating graphics... => 0
[[[]],[],[[[],[]]]] generating graphics... => 1
[[[]],[],[[[[]]]]] generating graphics... => 1
[[[]],[[]],[],[],[]] generating graphics... => 0
[[[]],[[]],[],[[]]] generating graphics... => 0
[[[]],[[]],[[]],[]] generating graphics... => 0
[[[]],[[]],[[],[]]] generating graphics... => 1
[[[]],[[]],[[[]]]] generating graphics... => 2
[[[]],[[],[]],[],[]] generating graphics... => 0
[[[]],[[[]]],[],[]] generating graphics... => 1
[[[]],[[],[]],[[]]] generating graphics... => 1
[[[]],[[[]]],[[]]] generating graphics... => 2
[[[]],[[],[],[]],[]] generating graphics... => 0
[[[]],[[],[[]]],[]] generating graphics... => 0
[[[]],[[[]],[]],[]] generating graphics... => 0
[[[]],[[[],[]]],[]] generating graphics... => 1
[[[]],[[[[]]]],[]] generating graphics... => 1
[[[]],[[],[],[],[]]] generating graphics... => 1
[[[]],[[],[],[[]]]] generating graphics... => 1
[[[]],[[],[[]],[]]] generating graphics... => 1
[[[]],[[],[[],[]]]] generating graphics... => 1
[[[]],[[],[[[]]]]] generating graphics... => 2
[[[]],[[[]],[],[]]] generating graphics... => 1
[[[]],[[[]],[[]]]] generating graphics... => 2
[[[]],[[[],[]],[]]] generating graphics... => 1
[[[]],[[[[]]],[]]] generating graphics... => 2
[[[]],[[[],[],[]]]] generating graphics... => 2
[[[]],[[[],[[]]]]] generating graphics... => 2
[[[]],[[[[]],[]]]] generating graphics... => 2
[[[]],[[[[],[]]]]] generating graphics... => 2
[[[]],[[[[[]]]]]] generating graphics... => 2
[[[],[]],[],[],[],[]] generating graphics... => 0
[[[[]]],[],[],[],[]] generating graphics... => 1
[[[],[]],[],[],[[]]] generating graphics... => 0
[[[[]]],[],[],[[]]] generating graphics... => 1
[[[],[]],[],[[]],[]] generating graphics... => 0
[[[[]]],[],[[]],[]] generating graphics... => 1
[[[],[]],[],[[],[]]] generating graphics... => 0
[[[],[]],[],[[[]]]] generating graphics... => 1
[[[[]]],[],[[],[]]] generating graphics... => 1
[[[[]]],[],[[[]]]] generating graphics... => 2
[[[],[]],[[]],[],[]] generating graphics... => 0
[[[[]]],[[]],[],[]] generating graphics... => 1
[[[],[]],[[]],[[]]] generating graphics... => 1
[[[[]]],[[]],[[]]] generating graphics... => 2
[[[],[]],[[],[]],[]] generating graphics... => 0
[[[],[]],[[[]]],[]] generating graphics... => 1
[[[[]]],[[],[]],[]] generating graphics... => 1
[[[[]]],[[[]]],[]] generating graphics... => 2
[[[],[]],[[],[],[]]] generating graphics... => 1
[[[],[]],[[],[[]]]] generating graphics... => 1
[[[],[]],[[[]],[]]] generating graphics... => 1
[[[],[]],[[[],[]]]] generating graphics... => 2
[[[],[]],[[[[]]]]] generating graphics... => 2
[[[[]]],[[],[],[]]] generating graphics... => 2
[[[[]]],[[],[[]]]] generating graphics... => 2
[[[[]]],[[[]],[]]] generating graphics... => 2
[[[[]]],[[[],[]]]] generating graphics... => 2
[[[[]]],[[[[]]]]] generating graphics... => 2
[[[],[],[]],[],[],[]] generating graphics... => 0
[[[],[[]]],[],[],[]] generating graphics... => 0
[[[[]],[]],[],[],[]] generating graphics... => 0
[[[[],[]]],[],[],[]] generating graphics... => 1
[[[[[]]]],[],[],[]] generating graphics... => 1
[[[],[],[]],[],[[]]] generating graphics... => 0
[[[],[[]]],[],[[]]] generating graphics... => 0
[[[[]],[]],[],[[]]] generating graphics... => 0
[[[[],[]]],[],[[]]] generating graphics... => 1
[[[[[]]]],[],[[]]] generating graphics... => 1
[[[],[],[]],[[]],[]] generating graphics... => 0
[[[],[[]]],[[]],[]] generating graphics... => 0
[[[[]],[]],[[]],[]] generating graphics... => 0
[[[[],[]]],[[]],[]] generating graphics... => 1
[[[[[]]]],[[]],[]] generating graphics... => 1
[[[],[],[]],[[],[]]] generating graphics... => 1
[[[],[],[]],[[[]]]] generating graphics... => 2
[[[],[[]]],[[],[]]] generating graphics... => 1
[[[],[[]]],[[[]]]] generating graphics... => 2
[[[[]],[]],[[],[]]] generating graphics... => 1
[[[[]],[]],[[[]]]] generating graphics... => 2
[[[[],[]]],[[],[]]] generating graphics... => 2
[[[[],[]]],[[[]]]] generating graphics... => 2
[[[[[]]]],[[],[]]] generating graphics... => 2
[[[[[]]]],[[[]]]] generating graphics... => 2
[[[],[],[],[]],[],[]] generating graphics... => 0
[[[],[],[[]]],[],[]] generating graphics... => 0
[[[],[[]],[]],[],[]] generating graphics... => 0
[[[],[[],[]]],[],[]] generating graphics... => 0
[[[],[[[]]]],[],[]] generating graphics... => 1
[[[[]],[],[]],[],[]] generating graphics... => 0
[[[[]],[[]]],[],[]] generating graphics... => 1
[[[[],[]],[]],[],[]] generating graphics... => 0
[[[[[]]],[]],[],[]] generating graphics... => 1
[[[[],[],[]]],[],[]] generating graphics... => 1
[[[[],[[]]]],[],[]] generating graphics... => 1
[[[[[]],[]]],[],[]] generating graphics... => 1
[[[[[],[]]]],[],[]] generating graphics... => 1
[[[[[[]]]]],[],[]] generating graphics... => 1
[[[],[],[],[]],[[]]] generating graphics... => 1
[[[],[],[[]]],[[]]] generating graphics... => 1
[[[],[[]],[]],[[]]] generating graphics... => 1
[[[],[[],[]]],[[]]] generating graphics... => 1
[[[],[[[]]]],[[]]] generating graphics... => 2
[[[[]],[],[]],[[]]] generating graphics... => 1
[[[[]],[[]]],[[]]] generating graphics... => 2
[[[[],[]],[]],[[]]] generating graphics... => 1
[[[[[]]],[]],[[]]] generating graphics... => 2
[[[[],[],[]]],[[]]] generating graphics... => 2
[[[[],[[]]]],[[]]] generating graphics... => 2
[[[[[]],[]]],[[]]] generating graphics... => 2
[[[[[],[]]]],[[]]] generating graphics... => 2
[[[[[[]]]]],[[]]] generating graphics... => 2
[[[],[],[],[],[]],[]] generating graphics... => 0
[[[],[],[],[[]]],[]] generating graphics... => 0
[[[],[],[[]],[]],[]] generating graphics... => 0
[[[],[],[[],[]]],[]] generating graphics... => 0
[[[],[],[[[]]]],[]] generating graphics... => 1
[[[],[[]],[],[]],[]] generating graphics... => 0
[[[],[[]],[[]]],[]] generating graphics... => 0
[[[],[[],[]],[]],[]] generating graphics... => 0
[[[],[[[]]],[]],[]] generating graphics... => 1
[[[],[[],[],[]]],[]] generating graphics... => 0
[[[],[[],[[]]]],[]] generating graphics... => 0
[[[],[[[]],[]]],[]] generating graphics... => 0
[[[],[[[],[]]]],[]] generating graphics... => 1
[[[],[[[[]]]]],[]] generating graphics... => 1
[[[[]],[],[],[]],[]] generating graphics... => 0
[[[[]],[],[[]]],[]] generating graphics... => 0
[[[[]],[[]],[]],[]] generating graphics... => 0
[[[[]],[[],[]]],[]] generating graphics... => 1
[[[[]],[[[]]]],[]] generating graphics... => 2
[[[[],[]],[],[]],[]] generating graphics... => 0
[[[[[]]],[],[]],[]] generating graphics... => 1
[[[[],[]],[[]]],[]] generating graphics... => 1
[[[[[]]],[[]]],[]] generating graphics... => 2
[[[[],[],[]],[]],[]] generating graphics... => 0
[[[[],[[]]],[]],[]] generating graphics... => 0
[[[[[]],[]],[]],[]] generating graphics... => 0
[[[[[],[]]],[]],[]] generating graphics... => 1
[[[[[[]]]],[]],[]] generating graphics... => 1
[[[[],[],[],[]]],[]] generating graphics... => 1
[[[[],[],[[]]]],[]] generating graphics... => 1
[[[[],[[]],[]]],[]] generating graphics... => 1
[[[[],[[],[]]]],[]] generating graphics... => 1
[[[[],[[[]]]]],[]] generating graphics... => 2
[[[[[]],[],[]]],[]] generating graphics... => 1
[[[[[]],[[]]]],[]] generating graphics... => 1
[[[[[],[]],[]]],[]] generating graphics... => 1
[[[[[[]]],[]]],[]] generating graphics... => 2
[[[[[],[],[]]]],[]] generating graphics... => 1
[[[[[],[[]]]]],[]] generating graphics... => 1
[[[[[[]],[]]]],[]] generating graphics... => 1
[[[[[[],[]]]]],[]] generating graphics... => 1
[[[[[[[]]]]]],[]] generating graphics... => 1
[[[],[],[],[],[],[]]] generating graphics... => 1
[[[],[],[],[],[[]]]] generating graphics... => 1
[[[],[],[],[[]],[]]] generating graphics... => 1
[[[],[],[],[[],[]]]] generating graphics... => 1
[[[],[],[],[[[]]]]] generating graphics... => 2
[[[],[],[[]],[],[]]] generating graphics... => 1
[[[],[],[[]],[[]]]] generating graphics... => 1
[[[],[],[[],[]],[]]] generating graphics... => 1
[[[],[],[[[]]],[]]] generating graphics... => 2
[[[],[],[[],[],[]]]] generating graphics... => 1
[[[],[],[[],[[]]]]] generating graphics... => 1
[[[],[],[[[]],[]]]] generating graphics... => 1
[[[],[],[[[],[]]]]] generating graphics... => 2
[[[],[],[[[[]]]]]] generating graphics... => 2
[[[],[[]],[],[],[]]] generating graphics... => 1
[[[],[[]],[],[[]]]] generating graphics... => 1
[[[],[[]],[[]],[]]] generating graphics... => 1
[[[],[[]],[[],[]]]] generating graphics... => 1
[[[],[[]],[[[]]]]] generating graphics... => 2
[[[],[[],[]],[],[]]] generating graphics... => 1
[[[],[[[]]],[],[]]] generating graphics... => 2
[[[],[[],[]],[[]]]] generating graphics... => 1
[[[],[[[]]],[[]]]] generating graphics... => 2
[[[],[[],[],[]],[]]] generating graphics... => 1
[[[],[[],[[]]],[]]] generating graphics... => 1
[[[],[[[]],[]],[]]] generating graphics... => 1
[[[],[[[],[]]],[]]] generating graphics... => 2
[[[],[[[[]]]],[]]] generating graphics... => 2
[[[],[[],[],[],[]]]] generating graphics... => 1
[[[],[[],[],[[]]]]] generating graphics... => 1
[[[],[[],[[]],[]]]] generating graphics... => 1
[[[],[[],[[],[]]]]] generating graphics... => 1
[[[],[[],[[[]]]]]] generating graphics... => 2
[[[],[[[]],[],[]]]] generating graphics... => 1
[[[],[[[]],[[]]]]] generating graphics... => 2
[[[],[[[],[]],[]]]] generating graphics... => 1
[[[],[[[[]]],[]]]] generating graphics... => 2
[[[],[[[],[],[]]]]] generating graphics... => 2
[[[],[[[],[[]]]]]] generating graphics... => 2
[[[],[[[[]],[]]]]] generating graphics... => 2
[[[],[[[[],[]]]]]] generating graphics... => 2
[[[],[[[[[]]]]]]] generating graphics... => 2
[[[[]],[],[],[],[]]] generating graphics... => 1
[[[[]],[],[],[[]]]] generating graphics... => 1
[[[[]],[],[[]],[]]] generating graphics... => 1
[[[[]],[],[[],[]]]] generating graphics... => 1
[[[[]],[],[[[]]]]] generating graphics... => 2
[[[[]],[[]],[],[]]] generating graphics... => 1
[[[[]],[[]],[[]]]] generating graphics... => 1
[[[[]],[[],[]],[]]] generating graphics... => 1
[[[[]],[[[]]],[]]] generating graphics... => 2
[[[[]],[[],[],[]]]] generating graphics... => 1
[[[[]],[[],[[]]]]] generating graphics... => 1
[[[[]],[[[]],[]]]] generating graphics... => 1
[[[[]],[[[],[]]]]] generating graphics... => 2
[[[[]],[[[[]]]]]] generating graphics... => 2
[[[[],[]],[],[],[]]] generating graphics... => 1
[[[[[]]],[],[],[]]] generating graphics... => 2
[[[[],[]],[],[[]]]] generating graphics... => 1
[[[[[]]],[],[[]]]] generating graphics... => 2
[[[[],[]],[[]],[]]] generating graphics... => 1
[[[[[]]],[[]],[]]] generating graphics... => 2
[[[[],[]],[[],[]]]] generating graphics... => 1
[[[[],[]],[[[]]]]] generating graphics... => 2
[[[[[]]],[[],[]]]] generating graphics... => 2
[[[[[]]],[[[]]]]] generating graphics... => 2
[[[[],[],[]],[],[]]] generating graphics... => 1
[[[[],[[]]],[],[]]] generating graphics... => 1
[[[[[]],[]],[],[]]] generating graphics... => 1
[[[[[],[]]],[],[]]] generating graphics... => 2
[[[[[[]]]],[],[]]] generating graphics... => 2
[[[[],[],[]],[[]]]] generating graphics... => 1
[[[[],[[]]],[[]]]] generating graphics... => 1
[[[[[]],[]],[[]]]] generating graphics... => 1
[[[[[],[]]],[[]]]] generating graphics... => 2
[[[[[[]]]],[[]]]] generating graphics... => 2
[[[[],[],[],[]],[]]] generating graphics... => 1
[[[[],[],[[]]],[]]] generating graphics... => 1
[[[[],[[]],[]],[]]] generating graphics... => 1
[[[[],[[],[]]],[]]] generating graphics... => 1
[[[[],[[[]]]],[]]] generating graphics... => 2
[[[[[]],[],[]],[]]] generating graphics... => 1
[[[[[]],[[]]],[]]] generating graphics... => 2
[[[[[],[]],[]],[]]] generating graphics... => 1
[[[[[[]]],[]],[]]] generating graphics... => 2
[[[[[],[],[]]],[]]] generating graphics... => 2
[[[[[],[[]]]],[]]] generating graphics... => 2
[[[[[[]],[]]],[]]] generating graphics... => 2
[[[[[[],[]]]],[]]] generating graphics... => 2
[[[[[[[]]]]],[]]] generating graphics... => 2
[[[[],[],[],[],[]]]] generating graphics... => 1
[[[[],[],[],[[]]]]] generating graphics... => 1
[[[[],[],[[]],[]]]] generating graphics... => 1
[[[[],[],[[],[]]]]] generating graphics... => 1
[[[[],[],[[[]]]]]] generating graphics... => 2
[[[[],[[]],[],[]]]] generating graphics... => 1
[[[[],[[]],[[]]]]] generating graphics... => 1
[[[[],[[],[]],[]]]] generating graphics... => 1
[[[[],[[[]]],[]]]] generating graphics... => 2
[[[[],[[],[],[]]]]] generating graphics... => 1
[[[[],[[],[[]]]]]] generating graphics... => 1
[[[[],[[[]],[]]]]] generating graphics... => 1
[[[[],[[[],[]]]]]] generating graphics... => 2
[[[[],[[[[]]]]]]] generating graphics... => 2
[[[[[]],[],[],[]]]] generating graphics... => 1
[[[[[]],[],[[]]]]] generating graphics... => 1
[[[[[]],[[]],[]]]] generating graphics... => 1
[[[[[]],[[],[]]]]] generating graphics... => 1
[[[[[]],[[[]]]]]] generating graphics... => 2
[[[[[],[]],[],[]]]] generating graphics... => 1
[[[[[[]]],[],[]]]] generating graphics... => 2
[[[[[],[]],[[]]]]] generating graphics... => 1
[[[[[[]]],[[]]]]] generating graphics... => 2
[[[[[],[],[]],[]]]] generating graphics... => 1
[[[[[],[[]]],[]]]] generating graphics... => 1
[[[[[[]],[]],[]]]] generating graphics... => 1
[[[[[[],[]]],[]]]] generating graphics... => 2
[[[[[[[]]]],[]]]] generating graphics... => 2
[[[[[],[],[],[]]]]] generating graphics... => 1
[[[[[],[],[[]]]]]] generating graphics... => 1
[[[[[],[[]],[]]]]] generating graphics... => 1
[[[[[],[[],[]]]]]] generating graphics... => 1
[[[[[],[[[]]]]]]] generating graphics... => 2
[[[[[[]],[],[]]]]] generating graphics... => 1
[[[[[[]],[[]]]]]] generating graphics... => 1
[[[[[[],[]],[]]]]] generating graphics... => 1
[[[[[[[]]],[]]]]] generating graphics... => 2
[[[[[[],[],[]]]]]] generating graphics... => 1
[[[[[[],[[]]]]]]] generating graphics... => 1
[[[[[[[]],[]]]]]] generating graphics... => 1
[[[[[[[],[]]]]]]] generating graphics... => 1
[[[[[[[[]]]]]]]] generating graphics... => 1
[[],[],[],[],[],[],[],[]] generating graphics... => 0
[[],[],[],[],[],[],[[]]] generating graphics... => 0
[[],[],[],[],[],[[]],[]] generating graphics... => 0
[[],[],[],[],[],[[],[]]] generating graphics... => 0
[[],[],[],[],[],[[[]]]] generating graphics... => 1
[[],[],[],[],[[]],[],[]] generating graphics... => 0
[[],[],[],[],[[]],[[]]] generating graphics... => 0
[[],[],[],[],[[],[]],[]] generating graphics... => 0
[[],[],[],[],[[[]]],[]] generating graphics... => 1
[[],[],[],[],[[],[],[]]] generating graphics... => 0
[[],[],[],[],[[],[[]]]] generating graphics... => 0
[[],[],[],[],[[[]],[]]] generating graphics... => 0
[[],[],[],[],[[[],[]]]] generating graphics... => 1
[[],[],[],[],[[[[]]]]] generating graphics... => 1
[[],[],[],[[]],[],[],[]] generating graphics... => 0
[[],[],[],[[]],[],[[]]] generating graphics... => 0
[[],[],[],[[]],[[]],[]] generating graphics... => 0
[[],[],[],[[]],[[],[]]] generating graphics... => 0
[[],[],[],[[]],[[[]]]] generating graphics... => 1
[[],[],[],[[],[]],[],[]] generating graphics... => 0
[[],[],[],[[[]]],[],[]] generating graphics... => 1
[[],[],[],[[],[]],[[]]] generating graphics... => 0
[[],[],[],[[[]]],[[]]] generating graphics... => 1
[[],[],[],[[],[],[]],[]] generating graphics... => 0
[[],[],[],[[],[[]]],[]] generating graphics... => 0
[[],[],[],[[[]],[]],[]] generating graphics... => 0
[[],[],[],[[[],[]]],[]] generating graphics... => 1
[[],[],[],[[[[]]]],[]] generating graphics... => 1
[[],[],[],[[],[],[],[]]] generating graphics... => 0
[[],[],[],[[],[],[[]]]] generating graphics... => 0
[[],[],[],[[],[[]],[]]] generating graphics... => 0
[[],[],[],[[],[[],[]]]] generating graphics... => 0
[[],[],[],[[],[[[]]]]] generating graphics... => 1
[[],[],[],[[[]],[],[]]] generating graphics... => 0
[[],[],[],[[[]],[[]]]] generating graphics... => 1
[[],[],[],[[[],[]],[]]] generating graphics... => 0
[[],[],[],[[[[]]],[]]] generating graphics... => 1
[[],[],[],[[[],[],[]]]] generating graphics... => 1
[[],[],[],[[[],[[]]]]] generating graphics... => 1
[[],[],[],[[[[]],[]]]] generating graphics... => 1
[[],[],[],[[[[],[]]]]] generating graphics... => 1
[[],[],[],[[[[[]]]]]] generating graphics... => 1
[[],[],[[]],[],[],[],[]] generating graphics... => 0
[[],[],[[]],[],[],[[]]] generating graphics... => 0
[[],[],[[]],[],[[]],[]] generating graphics... => 0
[[],[],[[]],[],[[],[]]] generating graphics... => 0
[[],[],[[]],[],[[[]]]] generating graphics... => 1
[[],[],[[]],[[]],[],[]] generating graphics... => 0
[[],[],[[]],[[]],[[]]] generating graphics... => 0
[[],[],[[]],[[],[]],[]] generating graphics... => 0
[[],[],[[]],[[[]]],[]] generating graphics... => 1
[[],[],[[]],[[],[],[]]] generating graphics... => 0
[[],[],[[]],[[],[[]]]] generating graphics... => 0
[[],[],[[]],[[[]],[]]] generating graphics... => 0
[[],[],[[]],[[[],[]]]] generating graphics... => 1
[[],[],[[]],[[[[]]]]] generating graphics... => 1
[[],[],[[],[]],[],[],[]] generating graphics... => 0
[[],[],[[[]]],[],[],[]] generating graphics... => 1
[[],[],[[],[]],[],[[]]] generating graphics... => 0
[[],[],[[[]]],[],[[]]] generating graphics... => 1
[[],[],[[],[]],[[]],[]] generating graphics... => 0
[[],[],[[[]]],[[]],[]] generating graphics... => 1
[[],[],[[],[]],[[],[]]] generating graphics... => 0
[[],[],[[],[]],[[[]]]] generating graphics... => 1
[[],[],[[[]]],[[],[]]] generating graphics... => 1
[[],[],[[[]]],[[[]]]] generating graphics... => 2
[[],[],[[],[],[]],[],[]] generating graphics... => 0
[[],[],[[],[[]]],[],[]] generating graphics... => 0
[[],[],[[[]],[]],[],[]] generating graphics... => 0
[[],[],[[[],[]]],[],[]] generating graphics... => 1
[[],[],[[[[]]]],[],[]] generating graphics... => 1
[[],[],[[],[],[]],[[]]] generating graphics... => 0
[[],[],[[],[[]]],[[]]] generating graphics... => 0
[[],[],[[[]],[]],[[]]] generating graphics... => 0
[[],[],[[[],[]]],[[]]] generating graphics... => 1
[[],[],[[[[]]]],[[]]] generating graphics... => 1
[[],[],[[],[],[],[]],[]] generating graphics... => 0
[[],[],[[],[],[[]]],[]] generating graphics... => 0
[[],[],[[],[[]],[]],[]] generating graphics... => 0
[[],[],[[],[[],[]]],[]] generating graphics... => 0
[[],[],[[],[[[]]]],[]] generating graphics... => 1
[[],[],[[[]],[],[]],[]] generating graphics... => 0
[[],[],[[[]],[[]]],[]] generating graphics... => 1
[[],[],[[[],[]],[]],[]] generating graphics... => 0
[[],[],[[[[]]],[]],[]] generating graphics... => 1
[[],[],[[[],[],[]]],[]] generating graphics... => 1
[[],[],[[[],[[]]]],[]] generating graphics... => 1
[[],[],[[[[]],[]]],[]] generating graphics... => 1
[[],[],[[[[],[]]]],[]] generating graphics... => 1
[[],[],[[[[[]]]]],[]] generating graphics... => 1
[[],[],[[],[],[],[],[]]] generating graphics... => 0
[[],[],[[],[],[],[[]]]] generating graphics... => 0
[[],[],[[],[],[[]],[]]] generating graphics... => 0
[[],[],[[],[],[[],[]]]] generating graphics... => 0
[[],[],[[],[],[[[]]]]] generating graphics... => 1
[[],[],[[],[[]],[],[]]] generating graphics... => 0
[[],[],[[],[[]],[[]]]] generating graphics... => 0
[[],[],[[],[[],[]],[]]] generating graphics... => 0
[[],[],[[],[[[]]],[]]] generating graphics... => 1
[[],[],[[],[[],[],[]]]] generating graphics... => 0
[[],[],[[],[[],[[]]]]] generating graphics... => 0
[[],[],[[],[[[]],[]]]] generating graphics... => 0
[[],[],[[],[[[],[]]]]] generating graphics... => 1
[[],[],[[],[[[[]]]]]] generating graphics... => 1
[[],[],[[[]],[],[],[]]] generating graphics... => 0
[[],[],[[[]],[],[[]]]] generating graphics... => 0
[[],[],[[[]],[[]],[]]] generating graphics... => 0
[[],[],[[[]],[[],[]]]] generating graphics... => 1
[[],[],[[[]],[[[]]]]] generating graphics... => 2
[[],[],[[[],[]],[],[]]] generating graphics... => 0
[[],[],[[[[]]],[],[]]] generating graphics... => 1
[[],[],[[[],[]],[[]]]] generating graphics... => 1
[[],[],[[[[]]],[[]]]] generating graphics... => 2
[[],[],[[[],[],[]],[]]] generating graphics... => 0
[[],[],[[[],[[]]],[]]] generating graphics... => 0
[[],[],[[[[]],[]],[]]] generating graphics... => 0
[[],[],[[[[],[]]],[]]] generating graphics... => 1
[[],[],[[[[[]]]],[]]] generating graphics... => 1
[[],[],[[[],[],[],[]]]] generating graphics... => 1
[[],[],[[[],[],[[]]]]] generating graphics... => 1
[[],[],[[[],[[]],[]]]] generating graphics... => 1
[[],[],[[[],[[],[]]]]] generating graphics... => 1
[[],[],[[[],[[[]]]]]] generating graphics... => 2
[[],[],[[[[]],[],[]]]] generating graphics... => 1
[[],[],[[[[]],[[]]]]] generating graphics... => 1
[[],[],[[[[],[]],[]]]] generating graphics... => 1
[[],[],[[[[[]]],[]]]] generating graphics... => 2
[[],[],[[[[],[],[]]]]] generating graphics... => 1
[[],[],[[[[],[[]]]]]] generating graphics... => 1
[[],[],[[[[[]],[]]]]] generating graphics... => 1
[[],[],[[[[[],[]]]]]] generating graphics... => 1
[[],[],[[[[[[]]]]]]] generating graphics... => 1
[[],[[]],[],[],[],[],[]] generating graphics... => 0
[[],[[]],[],[],[],[[]]] generating graphics... => 0
[[],[[]],[],[],[[]],[]] generating graphics... => 0
[[],[[]],[],[],[[],[]]] generating graphics... => 0
[[],[[]],[],[],[[[]]]] generating graphics... => 1
[[],[[]],[],[[]],[],[]] generating graphics... => 0
[[],[[]],[],[[]],[[]]] generating graphics... => 0
[[],[[]],[],[[],[]],[]] generating graphics... => 0
[[],[[]],[],[[[]]],[]] generating graphics... => 1
[[],[[]],[],[[],[],[]]] generating graphics... => 0
[[],[[]],[],[[],[[]]]] generating graphics... => 0
[[],[[]],[],[[[]],[]]] generating graphics... => 0
[[],[[]],[],[[[],[]]]] generating graphics... => 1
[[],[[]],[],[[[[]]]]] generating graphics... => 1
[[],[[]],[[]],[],[],[]] generating graphics... => 0
[[],[[]],[[]],[],[[]]] generating graphics... => 0
[[],[[]],[[]],[[]],[]] generating graphics... => 0
[[],[[]],[[]],[[],[]]] generating graphics... => 0
[[],[[]],[[]],[[[]]]] generating graphics... => 1
[[],[[]],[[],[]],[],[]] generating graphics... => 0
[[],[[]],[[[]]],[],[]] generating graphics... => 1
[[],[[]],[[],[]],[[]]] generating graphics... => 0
[[],[[]],[[[]]],[[]]] generating graphics... => 1
[[],[[]],[[],[],[]],[]] generating graphics... => 0
[[],[[]],[[],[[]]],[]] generating graphics... => 0
[[],[[]],[[[]],[]],[]] generating graphics... => 0
[[],[[]],[[[],[]]],[]] generating graphics... => 1
[[],[[]],[[[[]]]],[]] generating graphics... => 1
[[],[[]],[[],[],[],[]]] generating graphics... => 0
[[],[[]],[[],[],[[]]]] generating graphics... => 0
[[],[[]],[[],[[]],[]]] generating graphics... => 0
[[],[[]],[[],[[],[]]]] generating graphics... => 0
[[],[[]],[[],[[[]]]]] generating graphics... => 1
[[],[[]],[[[]],[],[]]] generating graphics... => 0
[[],[[]],[[[]],[[]]]] generating graphics... => 1
[[],[[]],[[[],[]],[]]] generating graphics... => 0
[[],[[]],[[[[]]],[]]] generating graphics... => 1
[[],[[]],[[[],[],[]]]] generating graphics... => 1
[[],[[]],[[[],[[]]]]] generating graphics... => 1
[[],[[]],[[[[]],[]]]] generating graphics... => 1
[[],[[]],[[[[],[]]]]] generating graphics... => 1
[[],[[]],[[[[[]]]]]] generating graphics... => 1
[[],[[],[]],[],[],[],[]] generating graphics... => 0
[[],[[[]]],[],[],[],[]] generating graphics... => 1
[[],[[],[]],[],[],[[]]] generating graphics... => 0
[[],[[[]]],[],[],[[]]] generating graphics... => 1
[[],[[],[]],[],[[]],[]] generating graphics... => 0
[[],[[[]]],[],[[]],[]] generating graphics... => 1
[[],[[],[]],[],[[],[]]] generating graphics... => 0
[[],[[],[]],[],[[[]]]] generating graphics... => 1
[[],[[[]]],[],[[],[]]] generating graphics... => 1
[[],[[[]]],[],[[[]]]] generating graphics... => 2
[[],[[],[]],[[]],[],[]] generating graphics... => 0
[[],[[[]]],[[]],[],[]] generating graphics... => 1
[[],[[],[]],[[]],[[]]] generating graphics... => 0
[[],[[[]]],[[]],[[]]] generating graphics... => 1
[[],[[],[]],[[],[]],[]] generating graphics... => 0
[[],[[],[]],[[[]]],[]] generating graphics... => 1
[[],[[[]]],[[],[]],[]] generating graphics... => 1
[[],[[[]]],[[[]]],[]] generating graphics... => 2
[[],[[],[]],[[],[],[]]] generating graphics... => 0
[[],[[],[]],[[],[[]]]] generating graphics... => 0
[[],[[],[]],[[[]],[]]] generating graphics... => 0
[[],[[],[]],[[[],[]]]] generating graphics... => 1
[[],[[],[]],[[[[]]]]] generating graphics... => 1
[[],[[[]]],[[],[],[]]] generating graphics... => 1
[[],[[[]]],[[],[[]]]] generating graphics... => 1
[[],[[[]]],[[[]],[]]] generating graphics... => 1
[[],[[[]]],[[[],[]]]] generating graphics... => 2
[[],[[[]]],[[[[]]]]] generating graphics... => 2
[[],[[],[],[]],[],[],[]] generating graphics... => 0
[[],[[],[[]]],[],[],[]] generating graphics... => 0
[[],[[[]],[]],[],[],[]] generating graphics... => 0
[[],[[[],[]]],[],[],[]] generating graphics... => 1
[[],[[[[]]]],[],[],[]] generating graphics... => 1
[[],[[],[],[]],[],[[]]] generating graphics... => 0
[[],[[],[[]]],[],[[]]] generating graphics... => 0
[[],[[[]],[]],[],[[]]] generating graphics... => 0
[[],[[[],[]]],[],[[]]] generating graphics... => 1
[[],[[[[]]]],[],[[]]] generating graphics... => 1
[[],[[],[],[]],[[]],[]] generating graphics... => 0
[[],[[],[[]]],[[]],[]] generating graphics... => 0
[[],[[[]],[]],[[]],[]] generating graphics... => 0
[[],[[[],[]]],[[]],[]] generating graphics... => 1
[[],[[[[]]]],[[]],[]] generating graphics... => 1
[[],[[],[],[]],[[],[]]] generating graphics... => 0
[[],[[],[],[]],[[[]]]] generating graphics... => 1
[[],[[],[[]]],[[],[]]] generating graphics... => 0
[[],[[],[[]]],[[[]]]] generating graphics... => 1
[[],[[[]],[]],[[],[]]] generating graphics... => 0
[[],[[[]],[]],[[[]]]] generating graphics... => 1
[[],[[[],[]]],[[],[]]] generating graphics... => 1
[[],[[[],[]]],[[[]]]] generating graphics... => 2
[[],[[[[]]]],[[],[]]] generating graphics... => 1
[[],[[[[]]]],[[[]]]] generating graphics... => 2
[[],[[],[],[],[]],[],[]] generating graphics... => 0
[[],[[],[],[[]]],[],[]] generating graphics... => 0
[[],[[],[[]],[]],[],[]] generating graphics... => 0
[[],[[],[[],[]]],[],[]] generating graphics... => 0
[[],[[],[[[]]]],[],[]] generating graphics... => 1
[[],[[[]],[],[]],[],[]] generating graphics... => 0
[[],[[[]],[[]]],[],[]] generating graphics... => 1
[[],[[[],[]],[]],[],[]] generating graphics... => 0
[[],[[[[]]],[]],[],[]] generating graphics... => 1
[[],[[[],[],[]]],[],[]] generating graphics... => 1
[[],[[[],[[]]]],[],[]] generating graphics... => 1
[[],[[[[]],[]]],[],[]] generating graphics... => 1
[[],[[[[],[]]]],[],[]] generating graphics... => 1
[[],[[[[[]]]]],[],[]] generating graphics... => 1
[[],[[],[],[],[]],[[]]] generating graphics... => 0
[[],[[],[],[[]]],[[]]] generating graphics... => 0
[[],[[],[[]],[]],[[]]] generating graphics... => 0
[[],[[],[[],[]]],[[]]] generating graphics... => 0
[[],[[],[[[]]]],[[]]] generating graphics... => 1
[[],[[[]],[],[]],[[]]] generating graphics... => 0
[[],[[[]],[[]]],[[]]] generating graphics... => 1
[[],[[[],[]],[]],[[]]] generating graphics... => 0
[[],[[[[]]],[]],[[]]] generating graphics... => 1
[[],[[[],[],[]]],[[]]] generating graphics... => 1
[[],[[[],[[]]]],[[]]] generating graphics... => 1
[[],[[[[]],[]]],[[]]] generating graphics... => 1
[[],[[[[],[]]]],[[]]] generating graphics... => 1
[[],[[[[[]]]]],[[]]] generating graphics... => 1
[[],[[],[],[],[],[]],[]] generating graphics... => 0
[[],[[],[],[],[[]]],[]] generating graphics... => 0
[[],[[],[],[[]],[]],[]] generating graphics... => 0
[[],[[],[],[[],[]]],[]] generating graphics... => 0
[[],[[],[],[[[]]]],[]] generating graphics... => 1
[[],[[],[[]],[],[]],[]] generating graphics... => 0
[[],[[],[[]],[[]]],[]] generating graphics... => 0
[[],[[],[[],[]],[]],[]] generating graphics... => 0
[[],[[],[[[]]],[]],[]] generating graphics... => 1
[[],[[],[[],[],[]]],[]] generating graphics... => 0
[[],[[],[[],[[]]]],[]] generating graphics... => 0
[[],[[],[[[]],[]]],[]] generating graphics... => 0
[[],[[],[[[],[]]]],[]] generating graphics... => 1
[[],[[],[[[[]]]]],[]] generating graphics... => 1
[[],[[[]],[],[],[]],[]] generating graphics... => 0
[[],[[[]],[],[[]]],[]] generating graphics... => 0
[[],[[[]],[[]],[]],[]] generating graphics... => 0
[[],[[[]],[[],[]]],[]] generating graphics... => 1
[[],[[[]],[[[]]]],[]] generating graphics... => 2
[[],[[[],[]],[],[]],[]] generating graphics... => 0
[[],[[[[]]],[],[]],[]] generating graphics... => 1
[[],[[[],[]],[[]]],[]] generating graphics... => 1
[[],[[[[]]],[[]]],[]] generating graphics... => 2
[[],[[[],[],[]],[]],[]] generating graphics... => 0
[[],[[[],[[]]],[]],[]] generating graphics... => 0
[[],[[[[]],[]],[]],[]] generating graphics... => 0
[[],[[[[],[]]],[]],[]] generating graphics... => 1
[[],[[[[[]]]],[]],[]] generating graphics... => 1
[[],[[[],[],[],[]]],[]] generating graphics... => 1
[[],[[[],[],[[]]]],[]] generating graphics... => 1
[[],[[[],[[]],[]]],[]] generating graphics... => 1
[[],[[[],[[],[]]]],[]] generating graphics... => 1
[[],[[[],[[[]]]]],[]] generating graphics... => 2
[[],[[[[]],[],[]]],[]] generating graphics... => 1
[[],[[[[]],[[]]]],[]] generating graphics... => 1
[[],[[[[],[]],[]]],[]] generating graphics... => 1
[[],[[[[[]]],[]]],[]] generating graphics... => 2
[[],[[[[],[],[]]]],[]] generating graphics... => 1
[[],[[[[],[[]]]]],[]] generating graphics... => 1
[[],[[[[[]],[]]]],[]] generating graphics... => 1
[[],[[[[[],[]]]]],[]] generating graphics... => 1
[[],[[[[[[]]]]]],[]] generating graphics... => 1
[[],[[],[],[],[],[],[]]] generating graphics... => 0
[[],[[],[],[],[],[[]]]] generating graphics... => 0
[[],[[],[],[],[[]],[]]] generating graphics... => 0
[[],[[],[],[],[[],[]]]] generating graphics... => 0
[[],[[],[],[],[[[]]]]] generating graphics... => 1
[[],[[],[],[[]],[],[]]] generating graphics... => 0
[[],[[],[],[[]],[[]]]] generating graphics... => 0
[[],[[],[],[[],[]],[]]] generating graphics... => 0
[[],[[],[],[[[]]],[]]] generating graphics... => 1
[[],[[],[],[[],[],[]]]] generating graphics... => 0
[[],[[],[],[[],[[]]]]] generating graphics... => 0
[[],[[],[],[[[]],[]]]] generating graphics... => 0
[[],[[],[],[[[],[]]]]] generating graphics... => 1
[[],[[],[],[[[[]]]]]] generating graphics... => 1
[[],[[],[[]],[],[],[]]] generating graphics... => 0
[[],[[],[[]],[],[[]]]] generating graphics... => 0
[[],[[],[[]],[[]],[]]] generating graphics... => 0
[[],[[],[[]],[[],[]]]] generating graphics... => 0
[[],[[],[[]],[[[]]]]] generating graphics... => 1
[[],[[],[[],[]],[],[]]] generating graphics... => 0
[[],[[],[[[]]],[],[]]] generating graphics... => 1
[[],[[],[[],[]],[[]]]] generating graphics... => 0
[[],[[],[[[]]],[[]]]] generating graphics... => 1
[[],[[],[[],[],[]],[]]] generating graphics... => 0
[[],[[],[[],[[]]],[]]] generating graphics... => 0
[[],[[],[[[]],[]],[]]] generating graphics... => 0
[[],[[],[[[],[]]],[]]] generating graphics... => 1
[[],[[],[[[[]]]],[]]] generating graphics... => 1
[[],[[],[[],[],[],[]]]] generating graphics... => 0
[[],[[],[[],[],[[]]]]] generating graphics... => 0
[[],[[],[[],[[]],[]]]] generating graphics... => 0
[[],[[],[[],[[],[]]]]] generating graphics... => 0
[[],[[],[[],[[[]]]]]] generating graphics... => 1
[[],[[],[[[]],[],[]]]] generating graphics... => 0
[[],[[],[[[]],[[]]]]] generating graphics... => 1
[[],[[],[[[],[]],[]]]] generating graphics... => 0
[[],[[],[[[[]]],[]]]] generating graphics... => 1
[[],[[],[[[],[],[]]]]] generating graphics... => 1
[[],[[],[[[],[[]]]]]] generating graphics... => 1
[[],[[],[[[[]],[]]]]] generating graphics... => 1
[[],[[],[[[[],[]]]]]] generating graphics... => 1
[[],[[],[[[[[]]]]]]] generating graphics... => 1
[[],[[[]],[],[],[],[]]] generating graphics... => 0
[[],[[[]],[],[],[[]]]] generating graphics... => 0
[[],[[[]],[],[[]],[]]] generating graphics... => 0
[[],[[[]],[],[[],[]]]] generating graphics... => 0
[[],[[[]],[],[[[]]]]] generating graphics... => 1
[[],[[[]],[[]],[],[]]] generating graphics... => 0
[[],[[[]],[[]],[[]]]] generating graphics... => 1
[[],[[[]],[[],[]],[]]] generating graphics... => 0
[[],[[[]],[[[]]],[]]] generating graphics... => 1
[[],[[[]],[[],[],[]]]] generating graphics... => 1
[[],[[[]],[[],[[]]]]] generating graphics... => 1
[[],[[[]],[[[]],[]]]] generating graphics... => 1
[[],[[[]],[[[],[]]]]] generating graphics... => 2
[[],[[[]],[[[[]]]]]] generating graphics... => 2
[[],[[[],[]],[],[],[]]] generating graphics... => 0
[[],[[[[]]],[],[],[]]] generating graphics... => 1
[[],[[[],[]],[],[[]]]] generating graphics... => 0
[[],[[[[]]],[],[[]]]] generating graphics... => 1
[[],[[[],[]],[[]],[]]] generating graphics... => 0
[[],[[[[]]],[[]],[]]] generating graphics... => 1
[[],[[[],[]],[[],[]]]] generating graphics... => 1
[[],[[[],[]],[[[]]]]] generating graphics... => 2
[[],[[[[]]],[[],[]]]] generating graphics... => 2
[[],[[[[]]],[[[]]]]] generating graphics... => 2
[[],[[[],[],[]],[],[]]] generating graphics... => 0
[[],[[[],[[]]],[],[]]] generating graphics... => 0
[[],[[[[]],[]],[],[]]] generating graphics... => 0
[[],[[[[],[]]],[],[]]] generating graphics... => 1
[[],[[[[[]]]],[],[]]] generating graphics... => 1
[[],[[[],[],[]],[[]]]] generating graphics... => 1
[[],[[[],[[]]],[[]]]] generating graphics... => 1
[[],[[[[]],[]],[[]]]] generating graphics... => 1
[[],[[[[],[]]],[[]]]] generating graphics... => 2
[[],[[[[[]]]],[[]]]] generating graphics... => 2
[[],[[[],[],[],[]],[]]] generating graphics... => 0
[[],[[[],[],[[]]],[]]] generating graphics... => 0
[[],[[[],[[]],[]],[]]] generating graphics... => 0
[[],[[[],[[],[]]],[]]] generating graphics... => 0
[[],[[[],[[[]]]],[]]] generating graphics... => 1
[[],[[[[]],[],[]],[]]] generating graphics... => 0
[[],[[[[]],[[]]],[]]] generating graphics... => 1
[[],[[[[],[]],[]],[]]] generating graphics... => 0
[[],[[[[[]]],[]],[]]] generating graphics... => 1
[[],[[[[],[],[]]],[]]] generating graphics... => 1
[[],[[[[],[[]]]],[]]] generating graphics... => 1
[[],[[[[[]],[]]],[]]] generating graphics... => 1
[[],[[[[[],[]]]],[]]] generating graphics... => 1
[[],[[[[[[]]]]],[]]] generating graphics... => 1
[[],[[[],[],[],[],[]]]] generating graphics... => 1
[[],[[[],[],[],[[]]]]] generating graphics... => 1
[[],[[[],[],[[]],[]]]] generating graphics... => 1
[[],[[[],[],[[],[]]]]] generating graphics... => 1
[[],[[[],[],[[[]]]]]] generating graphics... => 2
[[],[[[],[[]],[],[]]]] generating graphics... => 1
[[],[[[],[[]],[[]]]]] generating graphics... => 1
[[],[[[],[[],[]],[]]]] generating graphics... => 1
[[],[[[],[[[]]],[]]]] generating graphics... => 2
[[],[[[],[[],[],[]]]]] generating graphics... => 1
[[],[[[],[[],[[]]]]]] generating graphics... => 1
[[],[[[],[[[]],[]]]]] generating graphics... => 1
[[],[[[],[[[],[]]]]]] generating graphics... => 2
[[],[[[],[[[[]]]]]]] generating graphics... => 2
[[],[[[[]],[],[],[]]]] generating graphics... => 1
[[],[[[[]],[],[[]]]]] generating graphics... => 1
[[],[[[[]],[[]],[]]]] generating graphics... => 1
[[],[[[[]],[[],[]]]]] generating graphics... => 1
[[],[[[[]],[[[]]]]]] generating graphics... => 2
[[],[[[[],[]],[],[]]]] generating graphics... => 1
[[],[[[[[]]],[],[]]]] generating graphics... => 2
[[],[[[[],[]],[[]]]]] generating graphics... => 1
[[],[[[[[]]],[[]]]]] generating graphics... => 2
[[],[[[[],[],[]],[]]]] generating graphics... => 1
[[],[[[[],[[]]],[]]]] generating graphics... => 1
[[],[[[[[]],[]],[]]]] generating graphics... => 1
[[],[[[[[],[]]],[]]]] generating graphics... => 2
[[],[[[[[[]]]],[]]]] generating graphics... => 2
[[],[[[[],[],[],[]]]]] generating graphics... => 1
[[],[[[[],[],[[]]]]]] generating graphics... => 1
[[],[[[[],[[]],[]]]]] generating graphics... => 1
[[],[[[[],[[],[]]]]]] generating graphics... => 1
[[],[[[[],[[[]]]]]]] generating graphics... => 2
[[],[[[[[]],[],[]]]]] generating graphics... => 1
[[],[[[[[]],[[]]]]]] generating graphics... => 1
[[],[[[[[],[]],[]]]]] generating graphics... => 1
[[],[[[[[[]]],[]]]]] generating graphics... => 2
[[],[[[[[],[],[]]]]]] generating graphics... => 1
[[],[[[[[],[[]]]]]]] generating graphics... => 1
[[],[[[[[[]],[]]]]]] generating graphics... => 1
[[],[[[[[[],[]]]]]]] generating graphics... => 1
[[],[[[[[[[]]]]]]]] generating graphics... => 1
[[[]],[],[],[],[],[],[]] generating graphics... => 0
[[[]],[],[],[],[],[[]]] generating graphics... => 0
[[[]],[],[],[],[[]],[]] generating graphics... => 0
[[[]],[],[],[],[[],[]]] generating graphics... => 0
[[[]],[],[],[],[[[]]]] generating graphics... => 1
[[[]],[],[],[[]],[],[]] generating graphics... => 0
[[[]],[],[],[[]],[[]]] generating graphics... => 0
[[[]],[],[],[[],[]],[]] generating graphics... => 0
[[[]],[],[],[[[]]],[]] generating graphics... => 1
[[[]],[],[],[[],[],[]]] generating graphics... => 0
[[[]],[],[],[[],[[]]]] generating graphics... => 0
[[[]],[],[],[[[]],[]]] generating graphics... => 0
[[[]],[],[],[[[],[]]]] generating graphics... => 1
[[[]],[],[],[[[[]]]]] generating graphics... => 1
[[[]],[],[[]],[],[],[]] generating graphics... => 0
[[[]],[],[[]],[],[[]]] generating graphics... => 0
[[[]],[],[[]],[[]],[]] generating graphics... => 0
[[[]],[],[[]],[[],[]]] generating graphics... => 0
[[[]],[],[[]],[[[]]]] generating graphics... => 1
[[[]],[],[[],[]],[],[]] generating graphics... => 0
[[[]],[],[[[]]],[],[]] generating graphics... => 1
[[[]],[],[[],[]],[[]]] generating graphics... => 0
[[[]],[],[[[]]],[[]]] generating graphics... => 1
[[[]],[],[[],[],[]],[]] generating graphics... => 0
[[[]],[],[[],[[]]],[]] generating graphics... => 0
[[[]],[],[[[]],[]],[]] generating graphics... => 0
[[[]],[],[[[],[]]],[]] generating graphics... => 1
[[[]],[],[[[[]]]],[]] generating graphics... => 1
[[[]],[],[[],[],[],[]]] generating graphics... => 0
[[[]],[],[[],[],[[]]]] generating graphics... => 0
[[[]],[],[[],[[]],[]]] generating graphics... => 0
[[[]],[],[[],[[],[]]]] generating graphics... => 0
[[[]],[],[[],[[[]]]]] generating graphics... => 1
[[[]],[],[[[]],[],[]]] generating graphics... => 0
[[[]],[],[[[]],[[]]]] generating graphics... => 1
[[[]],[],[[[],[]],[]]] generating graphics... => 0
[[[]],[],[[[[]]],[]]] generating graphics... => 1
[[[]],[],[[[],[],[]]]] generating graphics... => 1
[[[]],[],[[[],[[]]]]] generating graphics... => 1
[[[]],[],[[[[]],[]]]] generating graphics... => 1
[[[]],[],[[[[],[]]]]] generating graphics... => 1
[[[]],[],[[[[[]]]]]] generating graphics... => 1
[[[]],[[]],[],[],[],[]] generating graphics... => 0
[[[]],[[]],[],[],[[]]] generating graphics... => 0
[[[]],[[]],[],[[]],[]] generating graphics... => 0
[[[]],[[]],[],[[],[]]] generating graphics... => 0
[[[]],[[]],[],[[[]]]] generating graphics... => 1
[[[]],[[]],[[]],[],[]] generating graphics... => 0
[[[]],[[]],[[]],[[]]] generating graphics... => 1
[[[]],[[]],[[],[]],[]] generating graphics... => 0
[[[]],[[]],[[[]]],[]] generating graphics... => 1
[[[]],[[]],[[],[],[]]] generating graphics... => 1
[[[]],[[]],[[],[[]]]] generating graphics... => 1
[[[]],[[]],[[[]],[]]] generating graphics... => 1
[[[]],[[]],[[[],[]]]] generating graphics... => 2
[[[]],[[]],[[[[]]]]] generating graphics... => 2
[[[]],[[],[]],[],[],[]] generating graphics... => 0
[[[]],[[[]]],[],[],[]] generating graphics... => 1
[[[]],[[],[]],[],[[]]] generating graphics... => 0
[[[]],[[[]]],[],[[]]] generating graphics... => 1
[[[]],[[],[]],[[]],[]] generating graphics... => 0
[[[]],[[[]]],[[]],[]] generating graphics... => 1
[[[]],[[],[]],[[],[]]] generating graphics... => 1
[[[]],[[],[]],[[[]]]] generating graphics... => 2
[[[]],[[[]]],[[],[]]] generating graphics... => 2
[[[]],[[[]]],[[[]]]] generating graphics... => 3
[[[]],[[],[],[]],[],[]] generating graphics... => 0
[[[]],[[],[[]]],[],[]] generating graphics... => 0
[[[]],[[[]],[]],[],[]] generating graphics... => 0
[[[]],[[[],[]]],[],[]] generating graphics... => 1
[[[]],[[[[]]]],[],[]] generating graphics... => 1
[[[]],[[],[],[]],[[]]] generating graphics... => 1
[[[]],[[],[[]]],[[]]] generating graphics... => 1
[[[]],[[[]],[]],[[]]] generating graphics... => 1
[[[]],[[[],[]]],[[]]] generating graphics... => 2
[[[]],[[[[]]]],[[]]] generating graphics... => 2
[[[]],[[],[],[],[]],[]] generating graphics... => 0
[[[]],[[],[],[[]]],[]] generating graphics... => 0
[[[]],[[],[[]],[]],[]] generating graphics... => 0
[[[]],[[],[[],[]]],[]] generating graphics... => 0
[[[]],[[],[[[]]]],[]] generating graphics... => 1
[[[]],[[[]],[],[]],[]] generating graphics... => 0
[[[]],[[[]],[[]]],[]] generating graphics... => 1
[[[]],[[[],[]],[]],[]] generating graphics... => 0
[[[]],[[[[]]],[]],[]] generating graphics... => 1
[[[]],[[[],[],[]]],[]] generating graphics... => 1
[[[]],[[[],[[]]]],[]] generating graphics... => 1
[[[]],[[[[]],[]]],[]] generating graphics... => 1
[[[]],[[[[],[]]]],[]] generating graphics... => 1
[[[]],[[[[[]]]]],[]] generating graphics... => 1
[[[]],[[],[],[],[],[]]] generating graphics... => 1
[[[]],[[],[],[],[[]]]] generating graphics... => 1
[[[]],[[],[],[[]],[]]] generating graphics... => 1
[[[]],[[],[],[[],[]]]] generating graphics... => 1
[[[]],[[],[],[[[]]]]] generating graphics... => 2
[[[]],[[],[[]],[],[]]] generating graphics... => 1
[[[]],[[],[[]],[[]]]] generating graphics... => 1
[[[]],[[],[[],[]],[]]] generating graphics... => 1
[[[]],[[],[[[]]],[]]] generating graphics... => 2
[[[]],[[],[[],[],[]]]] generating graphics... => 1
[[[]],[[],[[],[[]]]]] generating graphics... => 1
[[[]],[[],[[[]],[]]]] generating graphics... => 1
[[[]],[[],[[[],[]]]]] generating graphics... => 2
[[[]],[[],[[[[]]]]]] generating graphics... => 2
[[[]],[[[]],[],[],[]]] generating graphics... => 1
[[[]],[[[]],[],[[]]]] generating graphics... => 1
[[[]],[[[]],[[]],[]]] generating graphics... => 1
[[[]],[[[]],[[],[]]]] generating graphics... => 2
[[[]],[[[]],[[[]]]]] generating graphics... => 3
[[[]],[[[],[]],[],[]]] generating graphics... => 1
[[[]],[[[[]]],[],[]]] generating graphics... => 2
[[[]],[[[],[]],[[]]]] generating graphics... => 2
[[[]],[[[[]]],[[]]]] generating graphics... => 3
[[[]],[[[],[],[]],[]]] generating graphics... => 1
[[[]],[[[],[[]]],[]]] generating graphics... => 1
[[[]],[[[[]],[]],[]]] generating graphics... => 1
[[[]],[[[[],[]]],[]]] generating graphics... => 2
[[[]],[[[[[]]]],[]]] generating graphics... => 2
[[[]],[[[],[],[],[]]]] generating graphics... => 2
[[[]],[[[],[],[[]]]]] generating graphics... => 2
[[[]],[[[],[[]],[]]]] generating graphics... => 2
[[[]],[[[],[[],[]]]]] generating graphics... => 2
[[[]],[[[],[[[]]]]]] generating graphics... => 3
[[[]],[[[[]],[],[]]]] generating graphics... => 2
[[[]],[[[[]],[[]]]]] generating graphics... => 2
[[[]],[[[[],[]],[]]]] generating graphics... => 2
[[[]],[[[[[]]],[]]]] generating graphics... => 3
[[[]],[[[[],[],[]]]]] generating graphics... => 2
[[[]],[[[[],[[]]]]]] generating graphics... => 2
[[[]],[[[[[]],[]]]]] generating graphics... => 2
[[[]],[[[[[],[]]]]]] generating graphics... => 2
[[[]],[[[[[[]]]]]]] generating graphics... => 2
[[[],[]],[],[],[],[],[]] generating graphics... => 0
[[[[]]],[],[],[],[],[]] generating graphics... => 1
[[[],[]],[],[],[],[[]]] generating graphics... => 0
[[[[]]],[],[],[],[[]]] generating graphics... => 1
[[[],[]],[],[],[[]],[]] generating graphics... => 0
[[[[]]],[],[],[[]],[]] generating graphics... => 1
[[[],[]],[],[],[[],[]]] generating graphics... => 0
[[[],[]],[],[],[[[]]]] generating graphics... => 1
[[[[]]],[],[],[[],[]]] generating graphics... => 1
[[[[]]],[],[],[[[]]]] generating graphics... => 2
[[[],[]],[],[[]],[],[]] generating graphics... => 0
[[[[]]],[],[[]],[],[]] generating graphics... => 1
[[[],[]],[],[[]],[[]]] generating graphics... => 0
[[[[]]],[],[[]],[[]]] generating graphics... => 1
[[[],[]],[[],[[],[]]]] generating graphics... => 1
[[[],[]],[[[],[]],[]]] generating graphics... => 1
[[[],[[],[]]],[[],[]]] generating graphics... => 1
[[[[],[]],[]],[[],[]]] generating graphics... => 1
[[[],[[],[[],[]]]],[]] generating graphics... => 0
[[[],[[[],[]],[]]],[]] generating graphics... => 0
[[[[],[]],[[],[]]],[]] generating graphics... => 1
[[[[],[[],[]]],[]],[]] generating graphics... => 0
[[[[[],[]],[]],[]],[]] generating graphics... => 0
[[[[[],[[[]]]]]],[]] generating graphics... => 2
[[[[[[[]]],[]]]],[]] generating graphics... => 2
[[[[[[],[],[]]]]],[]] generating graphics... => 1
[[[[[[],[[]]]]]],[]] generating graphics... => 1
[[[[[[[]],[]]]]],[]] generating graphics... => 1
[[[[[[[],[]]]]]],[]] generating graphics... => 1
[[[[[[[[]]]]]]],[]] generating graphics... => 1
[[[[[[[[[]]]]]]]],[]] generating graphics... => 1
[[],[[[[[[[[]]]]]]]]] generating graphics... => 1
[[[[[[[[],[]]]]]]],[]] generating graphics... => 1
[[],[[[[[[[],[]]]]]]]] generating graphics... => 1
[[[[[[[[]],[]]]]]],[]] generating graphics... => 1
[[[[[[[],[[]]]]]]],[]] generating graphics... => 1
[[],[[[[[[[]],[]]]]]]] generating graphics... => 1
[[],[[[[[[],[[]]]]]]]] generating graphics... => 1
[[],[[],[[],[[],[[],[]]]]]] generating graphics... => 0
[[],[[],[[],[[[],[]],[]]]]] generating graphics... => 0
[[],[[],[[[],[]],[[],[]]]]] generating graphics... => 1
[[],[[],[[[],[[],[]]],[]]]] generating graphics... => 0
[[],[[],[[[[],[]],[]],[]]]] generating graphics... => 0
[[],[[[],[]],[[],[[],[]]]]] generating graphics... => 1
[[],[[[],[]],[[[],[]],[]]]] generating graphics... => 1
[[],[[[],[[],[]]],[[],[]]]] generating graphics... => 1
[[],[[[[],[]],[]],[[],[]]]] generating graphics... => 1
[[],[[[],[[],[[],[]]]],[]]] generating graphics... => 0
[[],[[[],[[[],[]],[]]],[]]] generating graphics... => 0
[[],[[[[],[]],[[],[]]],[]]] generating graphics... => 1
[[],[[[[],[[],[]]],[]],[]]] generating graphics... => 0
[[],[[[[[],[]],[]],[]],[]]] generating graphics... => 0
[[[],[]],[[],[[],[[],[]]]]] generating graphics... => 1
[[[],[]],[[],[[[],[]],[]]]] generating graphics... => 1
[[[],[]],[[[],[]],[[],[]]]] generating graphics... => 2
[[[],[]],[[[],[[],[]]],[]]] generating graphics... => 1
[[[],[]],[[[[],[]],[]],[]]] generating graphics... => 1
[[[],[[],[]]],[[],[[],[]]]] generating graphics... => 1
[[[],[[],[]]],[[[],[]],[]]] generating graphics... => 1
[[[[],[]],[]],[[],[[],[]]]] generating graphics... => 1
[[[[],[]],[]],[[[],[]],[]]] generating graphics... => 1
[[[],[[],[[],[]]]],[[],[]]] generating graphics... => 1
[[[],[[[],[]],[]]],[[],[]]] generating graphics... => 1
[[[[],[]],[[],[]]],[[],[]]] generating graphics... => 2
[[[[],[[],[]]],[]],[[],[]]] generating graphics... => 1
[[[[[],[]],[]],[]],[[],[]]] generating graphics... => 1
[[[],[[],[[],[[],[]]]]],[]] generating graphics... => 0
[[[],[[],[[[],[]],[]]]],[]] generating graphics... => 0
[[[],[[[],[]],[[],[]]]],[]] generating graphics... => 1
[[[],[[[],[[],[]]],[]]],[]] generating graphics... => 0
[[[],[[[[],[]],[]],[]]],[]] generating graphics... => 0
[[[[],[]],[[],[[],[]]]],[]] generating graphics... => 1
[[[[],[]],[[[],[]],[]]],[]] generating graphics... => 1
[[[[],[[],[]]],[[],[]]],[]] generating graphics... => 1
[[[[[],[]],[]],[[],[]]],[]] generating graphics... => 1
[[[[],[[],[[],[]]]],[]],[]] generating graphics... => 0
[[[[],[[[],[]],[]]],[]],[]] generating graphics... => 0
[[[[[],[]],[[],[]]],[]],[]] generating graphics... => 1
[[[[[],[[],[]]],[]],[]],[]] generating graphics... => 0
[[[[[[],[]],[]],[]],[]],[]] generating graphics... => 0
[[[[[[[[[[]]]]]]]]],[]] generating graphics... => 1
[[],[[[[[[[[[]]]]]]]]]] generating graphics... => 1
[[[[[[[[[],[]]]]]]]],[]] generating graphics... => 1
[[],[[[[[[[[],[]]]]]]]]] generating graphics... => 1
[[[[[[[[[[[]]]]]]]]]],[]] generating graphics... => 1
[[],[[[[[[[[[[]]]]]]]]]]] generating graphics... => 1
[[],[[],[[],[[],[[],[[],[]]]]]]] generating graphics... => 0
[[],[[],[[],[[],[[[],[]],[]]]]]] generating graphics... => 0
[[],[[],[[],[[[],[]],[[],[]]]]]] generating graphics... => 1
[[],[[],[[],[[[],[[],[]]],[]]]]] generating graphics... => 0
[[],[[],[[],[[[[],[]],[]],[]]]]] generating graphics... => 0
[[],[[],[[[],[]],[[],[[],[]]]]]] generating graphics... => 1
[[],[[],[[[],[]],[[[],[]],[]]]]] generating graphics... => 1
[[],[[],[[[],[[],[]]],[[],[]]]]] generating graphics... => 1
[[],[[],[[[[],[]],[]],[[],[]]]]] generating graphics... => 1
[[],[[],[[[],[[],[[],[]]]],[]]]] generating graphics... => 0
[[],[[],[[[],[[[],[]],[]]],[]]]] generating graphics... => 0
[[],[[],[[[[],[]],[[],[]]],[]]]] generating graphics... => 1
[[],[[],[[[[],[[],[]]],[]],[]]]] generating graphics... => 0
[[],[[],[[[[[],[]],[]],[]],[]]]] generating graphics... => 0
[[],[[[],[]],[[],[[],[[],[]]]]]] generating graphics... => 1
[[],[[[],[]],[[],[[[],[]],[]]]]] generating graphics... => 1
[[],[[[],[]],[[[],[]],[[],[]]]]] generating graphics... => 2
[[],[[[],[]],[[[],[[],[]]],[]]]] generating graphics... => 1
[[],[[[],[]],[[[[],[]],[]],[]]]] generating graphics... => 1
[[],[[[],[[],[]]],[[],[[],[]]]]] generating graphics... => 1
[[],[[[],[[],[]]],[[[],[]],[]]]] generating graphics... => 1
[[],[[[[],[]],[]],[[],[[],[]]]]] generating graphics... => 1
[[],[[[[],[]],[]],[[[],[]],[]]]] generating graphics... => 1
[[],[[[],[[],[[],[]]]],[[],[]]]] generating graphics... => 1
[[],[[[],[[[],[]],[]]],[[],[]]]] generating graphics... => 1
[[],[[[[],[]],[[],[]]],[[],[]]]] generating graphics... => 2
[[],[[[[],[[],[]]],[]],[[],[]]]] generating graphics... => 1
[[],[[[[[],[]],[]],[]],[[],[]]]] generating graphics... => 1
[[],[[[],[[],[[],[[],[]]]]],[]]] generating graphics... => 0
[[],[[[],[[],[[[],[]],[]]]],[]]] generating graphics... => 0
[[],[[[],[[[],[]],[[],[]]]],[]]] generating graphics... => 1
[[],[[[],[[[],[[],[]]],[]]],[]]] generating graphics... => 0
[[],[[[],[[[[],[]],[]],[]]],[]]] generating graphics... => 0
[[],[[[[],[]],[[],[[],[]]]],[]]] generating graphics... => 1
[[],[[[[],[]],[[[],[]],[]]],[]]] generating graphics... => 1
[[],[[[[],[[],[]]],[[],[]]],[]]] generating graphics... => 1
[[],[[[[[],[]],[]],[[],[]]],[]]] generating graphics... => 1
[[],[[[[],[[],[[],[]]]],[]],[]]] generating graphics... => 0
[[],[[[[],[[[],[]],[]]],[]],[]]] generating graphics... => 0
[[],[[[[[],[]],[[],[]]],[]],[]]] generating graphics... => 1
[[],[[[[[],[[],[]]],[]],[]],[]]] generating graphics... => 0
[[],[[[[[[],[]],[]],[]],[]],[]]] generating graphics... => 0
[[[],[]],[[],[[],[[],[[],[]]]]]] generating graphics... => 1
[[[],[]],[[],[[],[[[],[]],[]]]]] generating graphics... => 1
[[[],[]],[[],[[[],[]],[[],[]]]]] generating graphics... => 2
[[[],[]],[[],[[[],[[],[]]],[]]]] generating graphics... => 1
[[[],[]],[[],[[[[],[]],[]],[]]]] generating graphics... => 1
[[[],[]],[[[],[]],[[],[[],[]]]]] generating graphics... => 2
[[[],[]],[[[],[]],[[[],[]],[]]]] generating graphics... => 2
[[[],[]],[[[],[[],[]]],[[],[]]]] generating graphics... => 2
[[[],[]],[[[[],[]],[]],[[],[]]]] generating graphics... => 2
[[[],[]],[[[],[[],[[],[]]]],[]]] generating graphics... => 1
[[[],[]],[[[],[[[],[]],[]]],[]]] generating graphics... => 1
[[[],[]],[[[[],[]],[[],[]]],[]]] generating graphics... => 2
[[[],[]],[[[[],[[],[]]],[]],[]]] generating graphics... => 1
[[[],[]],[[[[[],[]],[]],[]],[]]] generating graphics... => 1
[[[],[[],[]]],[[],[[],[[],[]]]]] generating graphics... => 1
[[[],[[],[]]],[[],[[[],[]],[]]]] generating graphics... => 1
[[[],[[],[]]],[[[],[]],[[],[]]]] generating graphics... => 2
[[[],[[],[]]],[[[],[[],[]]],[]]] generating graphics... => 1
[[[],[[],[]]],[[[[],[]],[]],[]]] generating graphics... => 1
[[[[],[]],[]],[[],[[],[[],[]]]]] generating graphics... => 1
[[[[],[]],[]],[[],[[[],[]],[]]]] generating graphics... => 1
[[[[],[]],[]],[[[],[]],[[],[]]]] generating graphics... => 2
[[[[],[]],[]],[[[],[[],[]]],[]]] generating graphics... => 1
[[[[],[]],[]],[[[[],[]],[]],[]]] generating graphics... => 1
[[[],[[],[[],[]]]],[[],[[],[]]]] generating graphics... => 1
[[[],[[],[[],[]]]],[[[],[]],[]]] generating graphics... => 1
[[[],[[[],[]],[]]],[[],[[],[]]]] generating graphics... => 1
[[[],[[[],[]],[]]],[[[],[]],[]]] generating graphics... => 1
[[[[],[]],[[],[]]],[[],[[],[]]]] generating graphics... => 2
[[[[],[]],[[],[]]],[[[],[]],[]]] generating graphics... => 2
[[[[],[[],[]]],[]],[[],[[],[]]]] generating graphics... => 1
[[[[],[[],[]]],[]],[[[],[]],[]]] generating graphics... => 1
[[[[[],[]],[]],[]],[[],[[],[]]]] generating graphics... => 1
[[[[[],[]],[]],[]],[[[],[]],[]]] generating graphics... => 1
[[[],[[],[[],[[],[]]]]],[[],[]]] generating graphics... => 1
[[[],[[],[[[],[]],[]]]],[[],[]]] generating graphics... => 1
[[[],[[[],[]],[[],[]]]],[[],[]]] generating graphics... => 2
[[[],[[[],[[],[]]],[]]],[[],[]]] generating graphics... => 1
[[[],[[[[],[]],[]],[]]],[[],[]]] generating graphics... => 1
[[[[],[]],[[],[[],[]]]],[[],[]]] generating graphics... => 2
[[[[],[]],[[[],[]],[]]],[[],[]]] generating graphics... => 2
[[[[],[[],[]]],[[],[]]],[[],[]]] generating graphics... => 2
[[[[[],[]],[]],[[],[]]],[[],[]]] generating graphics... => 2
[[[[],[[],[[],[]]]],[]],[[],[]]] generating graphics... => 1
[[[[],[[[],[]],[]]],[]],[[],[]]] generating graphics... => 1
[[[[[],[]],[[],[]]],[]],[[],[]]] generating graphics... => 2
[[[[[],[[],[]]],[]],[]],[[],[]]] generating graphics... => 1
[[[[[[],[]],[]],[]],[]],[[],[]]] generating graphics... => 1
[[[],[[],[[],[[],[[],[]]]]]],[]] generating graphics... => 0
[[[],[[],[[],[[[],[]],[]]]]],[]] generating graphics... => 0
[[[],[[],[[[],[]],[[],[]]]]],[]] generating graphics... => 1
[[[],[[],[[[],[[],[]]],[]]]],[]] generating graphics... => 0
[[[],[[],[[[[],[]],[]],[]]]],[]] generating graphics... => 0
[[[],[[[],[]],[[],[[],[]]]]],[]] generating graphics... => 1
[[[],[[[],[]],[[[],[]],[]]]],[]] generating graphics... => 1
[[[],[[[],[[],[]]],[[],[]]]],[]] generating graphics... => 1
[[[],[[[[],[]],[]],[[],[]]]],[]] generating graphics... => 1
[[[],[[[],[[],[[],[]]]],[]]],[]] generating graphics... => 0
[[[],[[[],[[[],[]],[]]],[]]],[]] generating graphics... => 0
[[[],[[[[],[]],[[],[]]],[]]],[]] generating graphics... => 1
[[[],[[[[],[[],[]]],[]],[]]],[]] generating graphics... => 0
[[[],[[[[[],[]],[]],[]],[]]],[]] generating graphics... => 0
[[[[],[]],[[],[[],[[],[]]]]],[]] generating graphics... => 1
[[[[],[]],[[],[[[],[]],[]]]],[]] generating graphics... => 1
[[[[],[]],[[[],[]],[[],[]]]],[]] generating graphics... => 2
[[[[],[]],[[[],[[],[]]],[]]],[]] generating graphics... => 1
[[[[],[]],[[[[],[]],[]],[]]],[]] generating graphics... => 1
[[[[],[[],[]]],[[],[[],[]]]],[]] generating graphics... => 1
[[[[],[[],[]]],[[[],[]],[]]],[]] generating graphics... => 1
[[[[[],[]],[]],[[],[[],[]]]],[]] generating graphics... => 1
[[[[[],[]],[]],[[[],[]],[]]],[]] generating graphics... => 1
[[[[],[[],[[],[]]]],[[],[]]],[]] generating graphics... => 1
[[[[],[[[],[]],[]]],[[],[]]],[]] generating graphics... => 1
[[[[[],[]],[[],[]]],[[],[]]],[]] generating graphics... => 2
[[[[[],[[],[]]],[]],[[],[]]],[]] generating graphics... => 1
[[[[[[],[]],[]],[]],[[],[]]],[]] generating graphics... => 1
[[[[],[[],[[],[[],[]]]]],[]],[]] generating graphics... => 0
[[[[],[[],[[[],[]],[]]]],[]],[]] generating graphics... => 0
[[[[],[[[],[]],[[],[]]]],[]],[]] generating graphics... => 1
[[[[],[[[],[[],[]]],[]]],[]],[]] generating graphics... => 0
[[[[],[[[[],[]],[]],[]]],[]],[]] generating graphics... => 0
[[[[[],[]],[[],[[],[]]]],[]],[]] generating graphics... => 1
[[[[[],[]],[[[],[]],[]]],[]],[]] generating graphics... => 1
[[[[[],[[],[]]],[[],[]]],[]],[]] generating graphics... => 1
[[[[[[],[]],[]],[[],[]]],[]],[]] generating graphics... => 1
[[[[[],[[],[[],[]]]],[]],[]],[]] generating graphics... => 0
[[[[[],[[[],[]],[]]],[]],[]],[]] generating graphics... => 0
[[[[[[],[]],[[],[]]],[]],[]],[]] generating graphics... => 1
[[[[[[],[[],[]]],[]],[]],[]],[]] generating graphics... => 0
[[[[[[[],[]],[]],[]],[]],[]],[]] generating graphics... => 0
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Description
The number of 2-protected nodes of a rooted tree.
This is the number of nodes with minimal distance two to a leaf. The number of trees with no 2-protected nodes is oeis:A143363.
References
[1] Copenhaver, K. $k$-protected vertices in unlabeled rooted plane trees arXiv:1606.00083
Code
def protection_aux(T, k):
    """Return the number of nodes whose minimal distance to a leaf is k
    and the minimal distance of the root to a leaf.

    """
    children = [protection_aux(t, k) for t in T]
    if len(children) == 0:
        if k == 0:
            return (1, 0)
        else:
            return (0, 0)

    kids = sum(num for num, _ in children)
    root = 1 + min(p for _, p in children)
    if root == k:
        return (1 + kids, root)
    else:
        return (kids, root)

def statistic(T):
    """Return the number of nodes whose minimal distance to a leaf is k"""
    return protection_aux(T, 2)[0]
Created
Jun 02, 2016 at 09:40 by Martin Rubey
Updated
Dec 26, 2017 at 10:04 by Martin Rubey