Identifier
Values
[] => ([],1) => 1
[[]] => ([(0,1)],2) => 2
[[],[]] => ([(0,2),(1,2)],3) => 2
[[[]]] => ([(0,2),(1,2)],3) => 2
[[],[],[]] => ([(0,3),(1,3),(2,3)],4) => 2
[[],[[]]] => ([(0,3),(1,2),(2,3)],4) => 2
[[[]],[]] => ([(0,3),(1,2),(2,3)],4) => 2
[[[],[]]] => ([(0,3),(1,3),(2,3)],4) => 2
[[[[]]]] => ([(0,3),(1,2),(2,3)],4) => 2
[[],[],[],[]] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[[],[],[[]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[[],[[]],[]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[[],[[],[]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[[],[[[]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[[]],[],[]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[[[]],[[]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[[],[]],[]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[[[[]]],[]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[[],[],[]]] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[[[],[[]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[[[[]],[]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[[[[],[]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[[[[[]]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[],[],[],[],[]] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[[],[],[],[[]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[[],[],[[]],[]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[[],[],[[],[]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[[],[],[[[]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[[],[[]],[],[]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[[],[[]],[[]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2
[[],[[],[]],[]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[[],[[[]]],[]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[[],[[],[],[]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[[],[[],[[]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2
[[],[[[]],[]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2
[[],[[[],[]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[[],[[[[]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[[]],[],[],[]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[[[]],[],[[]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2
[[[]],[[]],[]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2
[[[]],[[],[]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[[[]],[[[]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[[],[]],[],[]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[[[[]]],[],[]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[[[],[]],[[]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[[[[]]],[[]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[[],[],[]],[]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[[[],[[]]],[]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2
[[[[]],[]],[]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2
[[[[],[]]],[]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[[[[[]]]],[]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[[],[],[],[]]] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[[[],[],[[]]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[[[],[[]],[]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[[[],[[],[]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[[[],[[[]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[[[[]],[],[]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[[[[]],[[]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2
[[[[],[]],[]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[[[[[]]],[]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[[[[],[],[]]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[[[[],[[]]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2
[[[[[]],[]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2
[[[[[],[]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[[[[[[]]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 2
[[],[],[],[],[],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[[],[],[],[],[[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[[],[],[],[[]],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[[],[],[],[[],[]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[[],[],[],[[[]]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[[],[],[[]],[],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[[],[],[[]],[[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[],[],[[],[]],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[[],[],[[[]]],[]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[[],[],[[],[],[]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[[],[],[[],[[]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[],[],[[[]],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[],[],[[[],[]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[[],[],[[[[]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2
[[],[[]],[],[],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[[],[[]],[],[[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[],[[]],[[]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[],[[]],[[],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[],[[]],[[[]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[],[[],[]],[],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[[],[[[]]],[],[]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[[],[[],[]],[[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[],[[[]]],[[]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[],[[],[],[]],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[[],[[],[[]]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[],[[[]],[]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[],[[[],[]]],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[[],[[[[]]]],[]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2
[[],[[],[],[],[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[[],[[],[],[[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[],[[],[[]],[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[],[[],[[],[]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[],[[],[[[]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[],[[[]],[],[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[],[[[]],[[]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2
[[],[[[],[]],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
>>> Load all 738 entries. <<<
[[],[[[[]]],[]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[],[[[],[],[]]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[[],[[[],[[]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[],[[[[]],[]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[],[[[[],[]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2
[[],[[[[[]]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[[]],[],[],[],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[[[]],[],[],[[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[]],[],[[]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[]],[],[[],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[]],[],[[[]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[]],[[]],[],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[]],[[]],[[]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2
[[[]],[[],[]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[]],[[[]]],[]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[]],[[],[],[]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[[[]],[[],[[]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[]],[[[]],[]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[]],[[[],[]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2
[[[]],[[[[]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[[],[]],[],[],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[[[[]]],[],[],[]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[[[],[]],[],[[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[]]],[],[[]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[],[]],[[]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[]]],[[]],[]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[],[]],[[],[]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[[[],[]],[[[]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2
[[[[]]],[[],[]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2
[[[[]]],[[[]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[[],[],[]],[],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[[[],[[]]],[],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[]],[]],[],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[],[]]],[],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[[[[[]]]],[],[]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2
[[[],[],[]],[[]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[[[],[[]]],[[]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[[]],[]],[[]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[[],[]]],[[]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2
[[[[[]]]],[[]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[[],[],[],[]],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[[[],[],[[]]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[],[[]],[]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[],[[],[]]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[],[[[]]]],[]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[[]],[],[]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[]],[[]]],[]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2
[[[[],[]],[]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[[]]],[]],[]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[[],[],[]]],[]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[[[[],[[]]]],[]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[[[]],[]]],[]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[[[],[]]]],[]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2
[[[[[[]]]]],[]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[[],[],[],[],[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[[[],[],[],[[]]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[[[],[],[[]],[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[[[],[],[[],[]]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[[[],[],[[[]]]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[[[],[[]],[],[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[[[],[[]],[[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[],[[],[]],[]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[[[],[[[]]],[]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[[[],[[],[],[]]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[[[],[[],[[]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[],[[[]],[]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[],[[[],[]]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[[[],[[[[]]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2
[[[[]],[],[],[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[[[[]],[],[[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[]],[[]],[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[]],[[],[]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[]],[[[]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[[],[]],[],[]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[[[[[]]],[],[]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[[[[],[]],[[]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[[]]],[[]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[[],[],[]],[]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[[[[],[[]]],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[[]],[]],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[[],[]]],[]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[[[[[[]]]],[]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2
[[[[],[],[],[]]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[[[[],[],[[]]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[],[[]],[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[],[[],[]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[],[[[]]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[[[]],[],[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[[]],[[]]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2
[[[[[],[]],[]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2
[[[[[[]]],[]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[[[],[],[]]]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[[[[[],[[]]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[[[[]],[]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[[[[[[],[]]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2
[[[[[[[]]]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 2
[[],[],[],[],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[[],[],[],[],[],[[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[[],[],[],[],[[]],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[[],[],[],[],[[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[[],[],[],[],[[[]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[[],[],[],[[]],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[[],[],[],[[]],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[],[],[[],[]],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[[],[],[],[[[]]],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[[],[],[],[[],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 2
[[],[],[],[[],[[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[],[],[],[[[]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[],[],[],[[[],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[[],[],[],[[[[]]]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) => 2
[[],[],[[]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[[],[],[[]],[],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[],[[]],[[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[],[[]],[[],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[],[[]],[[[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[],[],[[],[]],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[[],[],[[[]]],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[[],[],[[],[]],[[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[],[[[]]],[[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[],[],[[],[],[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 2
[[],[],[[],[[]]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[],[],[[[]],[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[],[],[[[],[]]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[[],[],[[[[]]]],[]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) => 2
[[],[],[[],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[[],[],[[],[],[[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[],[[],[[]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[],[[],[[],[]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) => 2
[[],[],[[],[[[]]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[],[],[[[]],[],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[],[[[]],[[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[],[],[[[],[]],[]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) => 2
[[],[],[[[[]]],[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[],[],[[[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[[],[],[[[],[[]]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[],[],[[[[]],[]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[],[],[[[[],[]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) => 2
[[],[],[[[[[]]]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => 2
[[],[[]],[],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[[],[[]],[],[],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[]],[],[[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[]],[],[[],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[]],[],[[[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[],[[]],[[]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[]],[[]],[[]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[],[[]],[[],[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[]],[[[]]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[],[[]],[[],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[],[[]],[[],[[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[],[[]],[[[]],[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[],[[]],[[[],[]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[],[[]],[[[[]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[],[[],[]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[[],[[[]]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[[],[[],[]],[],[[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[[]]],[],[[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[],[[],[]],[[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[[]]],[[]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[],[[],[]],[[],[]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) => 2
[[],[[],[]],[[[]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[],[[[]]],[[],[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[],[[[]]],[[[]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => 2
[[],[[],[],[]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 2
[[],[[],[[]]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[],[[[]],[]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[],[[[],[]]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[[],[[[[]]]],[],[]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) => 2
[[],[[],[],[]],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[],[[],[[]]],[[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[],[[[]],[]],[[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[],[[[],[]]],[[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[],[[[[]]]],[[]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[],[[],[],[],[]],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[[],[[],[],[[]]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[],[[]],[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[],[[],[]]],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) => 2
[[],[[],[[[]]]],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[],[[[]],[],[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[[]],[[]]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[],[[[],[]],[]],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) => 2
[[],[[[[]]],[]],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[],[[[],[],[]]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[[],[[[],[[]]]],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[],[[[[]],[]]],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[],[[[[],[]]]],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) => 2
[[],[[[[[]]]]],[]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => 2
[[],[[],[],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[[],[[],[],[],[[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[],[],[[]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[],[],[[],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[],[],[[[]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[],[[],[[]],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[],[[]],[[]]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[],[[],[[],[]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[],[[[]]],[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[],[[],[[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[],[[],[[],[[]]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[],[[],[[[]],[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[],[[],[[[],[]]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[],[[],[[[[]]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[],[[[]],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[[]],[],[[]]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[],[[[]],[[]],[]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[],[[[]],[[],[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[],[[[]],[[[]]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) => 2
[[],[[[],[]],[],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[],[[[[]]],[],[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[],[[[],[]],[[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[],[[[[]]],[[]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) => 2
[[],[[[],[],[]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[],[[[],[[]]],[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[],[[[[]],[]],[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[],[[[[],[]]],[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[],[[[[[]]]],[]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[],[[[],[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[[],[[[],[],[[]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[],[[[],[[]],[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[],[[[],[[],[]]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[],[[[],[[[]]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => 2
[[],[[[[]],[],[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[],[[[[]],[[]]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) => 2
[[],[[[[],[]],[]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[],[[[[[]]],[]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => 2
[[],[[[[],[],[]]]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) => 2
[[],[[[[],[[]]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[],[[[[[]],[]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[],[[[[[],[]]]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => 2
[[],[[[[[[]]]]]]] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[[]],[],[],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[[[]],[],[],[],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[]],[],[],[[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[]],[],[],[[],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[]],[],[],[[[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[]],[],[[]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[]],[],[[]],[[]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[]],[],[[],[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[]],[],[[[]]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[]],[],[[],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[]],[],[[],[[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[]],[],[[[]],[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[]],[],[[[],[]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[]],[],[[[[]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[]],[[]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[]],[[]],[],[[]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[]],[[]],[[]],[]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[]],[[]],[[],[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[]],[[]],[[[]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) => 2
[[[]],[[],[]],[],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[]],[[[]]],[],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[]],[[],[]],[[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[]],[[[]]],[[]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) => 2
[[[]],[[],[],[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[]],[[],[[]]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[]],[[[]],[]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[]],[[[],[]]],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[]],[[[[]]]],[]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[]],[[],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[[[]],[[],[],[[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[]],[[],[[]],[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[]],[[],[[],[]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[]],[[],[[[]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => 2
[[[]],[[[]],[],[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[]],[[[]],[[]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) => 2
[[[]],[[[],[]],[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[]],[[[[]]],[]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => 2
[[[]],[[[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) => 2
[[[]],[[[],[[]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[]],[[[[]],[]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[]],[[[[],[]]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => 2
[[[]],[[[[[]]]]]] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[[],[]],[],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[[[[]]],[],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[[[],[]],[],[],[[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[]]],[],[],[[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[],[]],[],[[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[]]],[],[[]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[],[]],[],[[],[]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) => 2
[[[],[]],[],[[[]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[[]]],[],[[],[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[[]]],[],[[[]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => 2
[[[],[]],[[]],[],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[]]],[[]],[],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[],[]],[[]],[[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[[]]],[[]],[[]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) => 2
[[[],[]],[[],[]],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) => 2
[[[],[]],[[[]]],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[[]]],[[],[]],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[[]]],[[[]]],[]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => 2
[[[],[]],[[],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[[[],[]],[[],[[]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[],[]],[[[]],[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[],[]],[[[],[]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) => 2
[[[],[]],[[[[]]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => 2
[[[[]]],[[],[],[]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) => 2
[[[[]]],[[],[[]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[]]],[[[]],[]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[]]],[[[],[]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => 2
[[[[]]],[[[[]]]]] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[[],[],[]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 2
[[[],[[]]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[[]],[]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[[],[]]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[[[[[]]]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) => 2
[[[],[],[]],[],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[],[[]]],[],[[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[[]],[]],[],[[]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[[],[]]],[],[[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[[[]]]],[],[[]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[],[],[]],[[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[],[[]]],[[]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[[]],[]],[[]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[[],[]]],[[]],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[[[]]]],[[]],[]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[],[],[]],[[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[[[],[],[]],[[[]]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) => 2
[[[],[[]]],[[],[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[],[[]]],[[[]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[]],[]],[[],[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[[]],[]],[[[]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[],[]]],[[],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) => 2
[[[[],[]]],[[[]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => 2
[[[[[]]]],[[],[]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => 2
[[[[[]]]],[[[]]]] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[[],[],[],[]],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[[[],[],[[]]],[],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[],[[]],[]],[],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[],[[],[]]],[],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) => 2
[[[],[[[]]]],[],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[[]],[],[]],[],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[]],[[]]],[],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[[],[]],[]],[],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) => 2
[[[[[]]],[]],[],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[[],[],[]]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[[[[],[[]]]],[],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[[[]],[]]],[],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[[[],[]]]],[],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) => 2
[[[[[[]]]]],[],[]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => 2
[[[],[],[],[]],[[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[[[],[],[[]]],[[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[],[[]],[]],[[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[],[[],[]]],[[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[],[[[]]]],[[]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => 2
[[[[]],[],[]],[[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[[]],[[]]],[[]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) => 2
[[[[],[]],[]],[[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[[[]]],[]],[[]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => 2
[[[[],[],[]]],[[]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) => 2
[[[[],[[]]]],[[]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[[]],[]]],[[]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[[],[]]]],[[]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => 2
[[[[[[]]]]],[[]]] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[[],[],[],[],[]],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[[[],[],[],[[]]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[],[],[[]],[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[],[],[[],[]]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[],[],[[[]]]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[],[[]],[],[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[],[[]],[[]]],[]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[],[[],[]],[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[],[[[]]],[]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[],[[],[],[]]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[],[[],[[]]]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[],[[[]],[]]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[],[[[],[]]]],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[],[[[[]]]]],[]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[]],[],[],[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[]],[],[[]]],[]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[[]],[[]],[]],[]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[[]],[[],[]]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[[]],[[[]]]],[]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) => 2
[[[[],[]],[],[]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[[]]],[],[]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[[],[]],[[]]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[[[]]],[[]]],[]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) => 2
[[[[],[],[]],[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[[],[[]]],[]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[[[]],[]],[]],[]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[[[],[]]],[]],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[[[[]]]],[]],[]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[],[],[],[]]],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[[[[],[],[[]]]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[[],[[]],[]]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[[],[[],[]]]],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[[],[[[]]]]],[]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => 2
[[[[[]],[],[]]],[]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[[[]],[[]]]],[]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) => 2
[[[[[],[]],[]]],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[[[[]]],[]]],[]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => 2
[[[[[],[],[]]]],[]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) => 2
[[[[[],[[]]]]],[]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[[[]],[]]]],[]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[[[],[]]]]],[]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => 2
[[[[[[[]]]]]],[]] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[[],[],[],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[[[],[],[],[],[[]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[[[],[],[],[[]],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[[[],[],[],[[],[]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[[[],[],[],[[[]]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[[[],[],[[]],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[[[],[],[[]],[[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[],[],[[],[]],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[[[],[],[[[]]],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[[[],[],[[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 2
[[[],[],[[],[[]]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[],[],[[[]],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[],[],[[[],[]]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[[[],[],[[[[]]]]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) => 2
[[[],[[]],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[[[],[[]],[],[[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[],[[]],[[]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[],[[]],[[],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[],[[]],[[[]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[],[[],[]],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[[[],[[[]]],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[[[],[[],[]],[[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[],[[[]]],[[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[],[[],[],[]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 2
[[[],[[],[[]]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[],[[[]],[]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[],[[[],[]]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[[[],[[[[]]]],[]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) => 2
[[[],[[],[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[[[],[[],[],[[]]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[],[[],[[]],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[],[[],[[],[]]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) => 2
[[[],[[],[[[]]]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[],[[[]],[],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[],[[[]],[[]]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[],[[[],[]],[]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) => 2
[[[],[[[[]]],[]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[],[[[],[],[]]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[[[],[[[],[[]]]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[],[[[[]],[]]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[],[[[[],[]]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) => 2
[[[],[[[[[]]]]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => 2
[[[[]],[],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[[[[]],[],[],[[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[]],[],[[]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[]],[],[[],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[]],[],[[[]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[[]],[[]],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[]],[[]],[[]]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[[]],[[],[]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[]],[[[]]],[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[[]],[[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[[]],[[],[[]]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[[]],[[[]],[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[[]],[[[],[]]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[[]],[[[[]]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[],[]],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[[[[[]]],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[[[[],[]],[],[[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[[]]],[],[[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[[],[]],[[]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[[]]],[[]],[]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[[],[]],[[],[]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) => 2
[[[[],[]],[[[]]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[[[]]],[[],[]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[[[]]],[[[]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => 2
[[[[],[],[]],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 2
[[[[],[[]]],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[[[]],[]],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[[[],[]]],[],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[[[[[[]]]],[],[]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) => 2
[[[[],[],[]],[[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[[],[[]]],[[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[[[]],[]],[[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[[[],[]]],[[]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[[[[]]]],[[]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[],[],[],[]],[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[[[[],[],[[]]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[],[[]],[]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[],[[],[]]],[]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) => 2
[[[[],[[[]]]],[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[[[]],[],[]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[[]],[[]]],[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[[[],[]],[]],[]]] => ([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) => 2
[[[[[[]]],[]],[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[[[],[],[]]],[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[[[[[],[[]]]],[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[[[[]],[]]],[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[[[[],[]]]],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) => 2
[[[[[[[]]]]],[]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => 2
[[[[],[],[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[[[[],[],[],[[]]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[],[],[[]],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[],[],[[],[]]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[],[],[[[]]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[[],[[]],[],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[],[[]],[[]]]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[[],[[],[]],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[],[[[]]],[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[[],[[],[],[]]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[[],[[],[[]]]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[[],[[[]],[]]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[[],[[[],[]]]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[[],[[[[]]]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[[]],[],[],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[[]],[],[[]]]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[[[]],[[]],[]]]] => ([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[[[]],[[],[]]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[[[]],[[[]]]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) => 2
[[[[[],[]],[],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[[[[[[]]],[],[]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[[[],[]],[[]]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => 2
[[[[[[]]],[[]]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) => 2
[[[[[],[],[]],[]]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[[[[[],[[]]],[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[[[[]],[]],[]]]] => ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => 2
[[[[[[],[]]],[]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[[[[[[[]]]],[]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[[],[],[],[]]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[[[[[],[],[[]]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[[[],[[]],[]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[[[],[[],[]]]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[[[],[[[]]]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => 2
[[[[[[]],[],[]]]]] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[[[[[[]],[[]]]]]] => ([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) => 2
[[[[[[],[]],[]]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[[[[[[[]]],[]]]]] => ([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) => 2
[[[[[[],[],[]]]]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) => 2
[[[[[[],[[]]]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[[[[]],[]]]]]] => ([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) => 2
[[[[[[[],[]]]]]]] => ([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) => 2
[[[[[[[[]]]]]]]] => ([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) => 2
[[],[],[[],[[],[[]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[],[[],[[[]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[],[[],[[[],[]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[],[],[[[]],[[],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[],[],[[[],[]],[[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[],[],[[[],[[]]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[],[[[[]],[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[],[[[[],[]]],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[],[],[[[],[[],[]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[],[],[[[[],[]],[]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[],[[]],[[],[[],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[[]],[[[],[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[[],[]],[[],[[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[[],[]],[[[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[[],[]],[[[],[]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[],[[],[[]]],[[],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[[[]],[]],[[],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[[[],[]]],[[],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[],[[],[[],[]]],[[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[[[],[]],[]],[[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[[],[[],[[]]]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[[],[[[]],[]]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[[],[[[],[]]]],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[],[[[]],[[],[]]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[],[[[],[]],[[]]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[],[[[],[[]]],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[[[[]],[]],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[[[[],[]]],[]],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[],[[[],[[],[]]]],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[],[[[[],[]],[]]],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[],[[],[[],[[],[]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[[],[[[],[]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[[[],[]],[[],[]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[],[[[],[[],[]]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[],[[[[],[]],[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[]],[],[[],[[],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[]],[],[[[],[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[]],[[],[]],[[],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[[]],[[],[[],[]]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[]],[[[],[]],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[],[]],[],[[],[[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[],[]],[],[[[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[],[]],[],[[[],[]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[],[]],[[]],[[],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[[],[]],[[],[]],[[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[[],[]],[[],[[]]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[],[]],[[[]],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[],[]],[[[],[]]],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[],[]],[[],[[],[]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[],[]],[[[],[]],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[],[[]]],[],[[],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[]],[]],[],[[],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[],[]]],[],[[],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[],[[]]],[[],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[]],[]],[[],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[],[]]],[[],[]],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[],[[],[]]],[],[[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[],[]],[]],[],[[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[],[[],[]]],[[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[],[]],[]],[[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[],[[],[]]],[[],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[[],[]],[]],[[],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[],[[],[[]]]],[],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[],[[[]],[]]],[],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[],[[[],[]]]],[],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[[]],[[],[]]],[],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[[[],[]],[[]]],[],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[[[],[[]]],[]],[],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[[]],[]],[]],[],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[[],[]]],[]],[],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[[],[[],[]]]],[],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[[[],[]],[]]],[],[]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[],[[],[[],[]]]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[],[[[],[]],[]]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[],[]],[[],[]]],[]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[[[],[[],[]]],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[[],[]],[]],[]],[]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[],[[],[[],[[]]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[],[[],[[[]],[]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[],[[],[[[],[]]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[],[[[]],[[],[]]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[[],[[[],[]],[[]]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[[],[[[],[[]]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[],[[[[]],[]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[],[[[[],[]]],[]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[],[[[],[[],[]]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[],[[[[],[]],[]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[[]],[[],[[],[]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[]],[[[],[]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[],[]],[[],[[]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[],[]],[[[]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[],[]],[[[],[]]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[[],[[]]],[[],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[[]],[]],[[],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[[],[]]],[[],[]]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[[],[[],[]]],[[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[[],[]],[]],[[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[],[[],[[]]]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[],[[[]],[]]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[],[[[],[]]]],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[[[]],[[],[]]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[[[[],[]],[[]]],[]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[[[[],[[]]],[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[[[]],[]],[]],[]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[[[],[]]],[]],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[[[],[[],[]]]],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[[[[],[]],[]]],[]]] => ([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) => 2
[[[[],[[],[[],[]]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[],[[[],[]],[]]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[[],[]],[[],[]]]]] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) => 2
[[[[[],[[],[]]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
[[[[[[],[]],[]],[]]]] => ([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) => 2
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
Description
The hat guessing number of a graph.
Suppose that each vertex of a graph corresponds to a player, wearing a hat whose color is arbitrarily chosen from a set of $q$ possible colors. Each player can see the hat colors of his neighbors, but not his own hat color. All of the players are asked to guess their own hat colors simultaneously, according to a predetermined guessing strategy and the hat colors they see, where no communication between them is allowed. The hat guessing number $HG(G)$ of a graph $G$ is the largest integer $q$ such that there exists a guessing strategy guaranteeing at least one correct guess for any hat assignment of $q$ possible colors.
Because it suffices that a single player guesses correctly, the hat guessing number of a graph is the maximum of the hat guessing numbers of its connected components.
Map
to graph
Description
Return the undirected graph obtained from the tree nodes and edges.