Identifier
Values
[] => ([],1) => ([],1) => ([],1) => 1
[[]] => ([(0,1)],2) => ([(0,1)],2) => ([(0,1)],2) => -1
[[],[]] => ([(0,2),(1,2)],3) => ([(0,1),(0,2)],3) => ([(0,1)],2) => -1
[[[]]] => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3) => 0
[[],[],[]] => ([(0,3),(1,3),(2,3)],4) => ([(0,1),(0,2),(0,3)],4) => ([(0,1)],2) => -1
[[],[[]]] => ([(0,3),(1,2),(2,3)],4) => ([(0,2),(0,3),(3,1)],4) => ([(0,2),(2,1)],3) => 0
[[[]],[]] => ([(0,3),(1,2),(2,3)],4) => ([(0,2),(0,3),(3,1)],4) => ([(0,2),(2,1)],3) => 0
[[[],[]]] => ([(0,3),(1,3),(3,2)],4) => ([(0,3),(3,1),(3,2)],4) => ([(0,2),(2,1)],3) => 0
[[[[]]]] => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[],[],[]] => ([(0,4),(1,4),(2,4),(3,4)],5) => ([(0,1),(0,2),(0,3),(0,4)],5) => ([(0,1)],2) => -1
[[],[],[[]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,2),(0,3),(0,4),(4,1)],5) => ([(0,2),(2,1)],3) => 0
[[],[[]],[]] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,2),(0,3),(0,4),(4,1)],5) => ([(0,2),(2,1)],3) => 0
[[],[[],[]]] => ([(0,4),(1,3),(2,3),(3,4)],5) => ([(0,3),(0,4),(4,1),(4,2)],5) => ([(0,2),(2,1)],3) => 0
[[],[[[]]]] => ([(0,4),(1,2),(2,3),(3,4)],5) => ([(0,2),(0,4),(3,1),(4,3)],5) => ([(0,3),(2,1),(3,2)],4) => 0
[[[]],[],[]] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([(0,2),(0,3),(0,4),(4,1)],5) => ([(0,2),(2,1)],3) => 0
[[[]],[[]]] => ([(0,3),(1,2),(2,4),(3,4)],5) => ([(0,3),(0,4),(3,2),(4,1)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[],[]],[]] => ([(0,4),(1,3),(2,3),(3,4)],5) => ([(0,3),(0,4),(4,1),(4,2)],5) => ([(0,2),(2,1)],3) => 0
[[[[]]],[]] => ([(0,4),(1,2),(2,3),(3,4)],5) => ([(0,2),(0,4),(3,1),(4,3)],5) => ([(0,3),(2,1),(3,2)],4) => 0
[[[],[],[]]] => ([(0,4),(1,4),(2,4),(4,3)],5) => ([(0,4),(4,1),(4,2),(4,3)],5) => ([(0,2),(2,1)],3) => 0
[[[],[[]]]] => ([(0,4),(1,2),(2,4),(4,3)],5) => ([(0,4),(3,2),(4,1),(4,3)],5) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[]],[]]] => ([(0,4),(1,2),(2,4),(4,3)],5) => ([(0,4),(3,2),(4,1),(4,3)],5) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[],[]]]] => ([(0,4),(1,4),(2,3),(4,2)],5) => ([(0,3),(3,4),(4,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[[]]]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[],[],[],[]] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => ([(0,1)],2) => -1
[[],[],[],[[]]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => ([(0,2),(2,1)],3) => 0
[[],[],[[]],[]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => ([(0,2),(2,1)],3) => 0
[[],[],[[],[]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => ([(0,2),(2,1)],3) => 0
[[],[],[[[]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[[]],[],[]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => ([(0,2),(2,1)],3) => 0
[[],[[]],[[]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[],[[],[]],[]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => ([(0,2),(2,1)],3) => 0
[[],[[[]]],[]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[[],[],[]]] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => ([(0,2),(2,1)],3) => 0
[[],[[],[[]]]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[[[]],[]]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[[[],[]]]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[[[[]]]]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[]],[],[],[]] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => ([(0,2),(2,1)],3) => 0
[[[]],[],[[]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[]],[[]],[]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[]],[[],[]]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[]],[[[]]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[],[]],[],[]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => ([(0,2),(2,1)],3) => 0
[[[[]]],[],[]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => 0
[[[],[]],[[]]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[[]]],[[]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[],[],[]],[]] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => ([(0,2),(2,1)],3) => 0
[[[],[[]]],[]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[]],[]],[]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[],[]]],[]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[[]]]],[]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[],[],[],[]]] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => ([(0,2),(2,1)],3) => 0
[[[],[],[[]]]] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => 0
[[[],[[]],[]]] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => 0
[[[],[[],[]]]] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => 0
[[[],[[[]]]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[]],[],[]]] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[]],[[]]]] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => ([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 0
[[[[],[]],[]]] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[[]]],[]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[],[],[]]]] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[],[[]]]]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[]],[]]]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[],[]]]]] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[[]]]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[],[],[],[],[],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => ([(0,1)],2) => -1
[[],[],[],[],[[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => ([(0,2),(2,1)],3) => 0
[[],[],[],[[]],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => ([(0,2),(2,1)],3) => 0
[[],[],[],[[],[]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => ([(0,2),(2,1)],3) => 0
[[],[],[],[[[]]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[],[[]],[],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => ([(0,2),(2,1)],3) => 0
[[],[],[[]],[[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[],[],[[],[]],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => ([(0,2),(2,1)],3) => 0
[[],[],[[[]]],[]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[],[[],[],[]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => ([(0,2),(2,1)],3) => 0
[[],[],[[],[[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[],[[[]],[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[],[[[],[]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[],[[[[]]]]] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[]],[],[],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => ([(0,2),(2,1)],3) => 0
[[],[[]],[],[[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[],[[]],[[]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[],[[]],[[],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[],[[]],[[[]]]] => ([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[],[[],[]],[],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => ([(0,2),(2,1)],3) => 0
[[],[[[]]],[],[]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[[],[]],[[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[],[[[]]],[[]]] => ([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[],[[],[],[]],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => ([(0,2),(2,1)],3) => 0
[[],[[],[[]]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[[[]],[]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[[[],[]]],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[[[[]]]],[]] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[],[],[],[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => 0
[[],[[],[],[[]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[[],[[]],[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[[],[[],[]]]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[[],[[[]]]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[[]],[],[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[[[]],[[]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 0
[[],[[[],[]],[]]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
>>> Load all 328 entries. <<<
[[],[[[[]]],[]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[[],[],[]]]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[[[],[[]]]]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[[[]],[]]]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[[[],[]]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[[[[]]]]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[]],[],[],[],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => ([(0,2),(2,1)],3) => 0
[[[]],[],[],[[]]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[]],[],[[]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[]],[],[[],[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[]],[],[[[]]]] => ([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[]],[[]],[],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[]],[[],[]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[]],[[[]]],[]] => ([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[]],[[],[],[]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[]],[[],[[]]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[]],[[[]],[]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[]],[[[],[]]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[],[]],[],[],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => ([(0,2),(2,1)],3) => 0
[[[[]]],[],[],[]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[],[]],[],[[]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[[]]],[],[[]]] => ([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[],[]],[[]],[]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[[]]],[[]],[]] => ([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[],[]],[[],[]]] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[],[]],[[[]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => ([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[[]]],[[],[]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => ([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[],[],[]],[],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => ([(0,2),(2,1)],3) => 0
[[[],[[]]],[],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[]],[]],[],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[],[]]],[],[]] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[[]]]],[],[]] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[],[],[]],[[]]] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[],[[]]],[[]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[[]],[]],[[]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[[],[]]],[[]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[],[],[],[]],[]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => 0
[[[],[],[[]]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[],[[]],[]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[],[[],[]]],[]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[],[[[]]]],[]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[]],[],[]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[]],[[]]],[]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 0
[[[[],[]],[]],[]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[[]]],[]],[]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[],[],[]]],[]] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[],[[]]]],[]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[]],[]]],[]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[],[]]]],[]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[[]]]]],[]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[],[],[],[],[]]] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => 0
[[[],[],[],[[]]]] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[],[],[[]],[]]] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[],[],[[],[]]]] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[],[],[[[]]]]] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[],[[]],[],[]]] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[],[[]],[[]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 0
[[[],[[],[]],[]]] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[],[[[]]],[]]] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[],[[],[],[]]]] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[],[[],[[]]]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[],[[[]],[]]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[],[[[],[]]]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[],[[[[]]]]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[[]],[],[],[]]] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[]],[],[[]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 0
[[[[]],[[]],[]]] => ([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 0
[[[[]],[[],[]]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 0
[[[[],[]],[],[]]] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[[]]],[],[]]] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[],[]],[[]]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 0
[[[[],[],[]],[]]] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[],[[]]],[]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[]],[]],[]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[],[]]],[]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[[]]]],[]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[[],[],[],[]]]] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[],[],[[]]]]] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[],[[]],[]]]] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[],[[],[]]]]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[],[[[]]]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[[[]],[],[]]]] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[]],[[]]]]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => 0
[[[[[],[]],[]]]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[[]]],[]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[[[],[],[]]]]] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[],[[]]]]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[[[[]],[]]]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[[[[],[]]]]]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[[[[[]]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[],[],[],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => ([(0,1)],2) => -1
[[],[],[],[],[],[[]]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => ([(0,2),(2,1)],3) => 0
[[],[],[],[],[[]],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => ([(0,2),(2,1)],3) => 0
[[],[],[],[],[[[]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[],[],[[]],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => ([(0,2),(2,1)],3) => 0
[[],[],[],[[]],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[],[],[],[[[]]],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[],[],[[[[]]]]] => ([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8) => ([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[],[[]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => ([(0,2),(2,1)],3) => 0
[[],[],[[]],[],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[],[],[[]],[[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[],[],[[]],[[[]]]] => ([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[],[],[[[]]],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[],[[[]]],[[]]] => ([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[],[],[[[[]]]],[]] => ([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8) => ([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[]],[],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => ([(0,2),(2,1)],3) => 0
[[],[[]],[],[],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[],[[]],[],[[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[],[[]],[],[[[]]]] => ([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[],[[]],[[]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[],[[]],[[[]]],[]] => ([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[],[[[]]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => 0
[[],[[[]]],[],[[]]] => ([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[],[[[]]],[[]],[]] => ([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[],[[],[]],[[],[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => ([(0,5),(0,6),(0,7),(6,3),(6,4),(7,1),(7,2)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[],[[],[]],[[[]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8) => ([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[],[[[]]],[[],[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8) => ([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[],[[[[]]]],[],[]] => ([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8) => ([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[],[[],[[]]]]] => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8) => ([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[],[[[]],[]]]] => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8) => ([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[],[[[[]]]]]] => ([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8) => ([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[],[[[],[[]]],[]]] => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8) => ([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[[[]],[]],[]]] => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8) => ([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[[[[]]]],[]]] => ([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8) => ([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[],[[[[[[]]]]]]] => ([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8) => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[]],[],[],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => ([(0,2),(2,1)],3) => 0
[[[]],[],[],[],[[]]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[]],[],[],[[]],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[]],[],[],[[[]]]] => ([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[]],[],[[]],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[]],[],[[[]]],[]] => ([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[]],[[]],[],[],[]] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[]],[[[]]],[],[]] => ([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[[]]],[],[],[],[]] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => 0
[[[[]]],[],[],[[]]] => ([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[[]]],[],[[]],[]] => ([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[],[]],[],[[],[]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => ([(0,5),(0,6),(0,7),(6,3),(6,4),(7,1),(7,2)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[],[]],[],[[[]]]] => ([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8) => ([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[[]]],[],[[],[]]] => ([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8) => ([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[[]]],[[]],[],[]] => ([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[],[]],[[],[]],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8) => ([(0,5),(0,6),(0,7),(6,3),(6,4),(7,1),(7,2)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
[[[],[]],[[[]]],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8) => ([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[[]]],[[],[]],[]] => ([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8) => ([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[[[]]]],[],[],[]] => ([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8) => ([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[],[[],[[]]]],[]] => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8) => ([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[],[[[]],[]]],[]] => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8) => ([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[],[[[[]]]]],[]] => ([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8) => ([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[[],[[]]],[]],[]] => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8) => ([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[]],[]],[]],[]] => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8) => ([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[[]]]],[]],[]] => ([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8) => ([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[[[[[]]]]]],[]] => ([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8) => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[],[],[],[[[]]]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8) => ([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[],[],[[[]]],[]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8) => ([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[],[],[[[[]]]]]] => ([(0,7),(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8) => ([(0,7),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[],[[[]]],[],[]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8) => ([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[],[[[[]]]],[]]] => ([(0,7),(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8) => ([(0,7),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[[[]]],[],[],[]]] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8) => ([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[[]]]],[],[]]] => ([(0,7),(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8) => ([(0,7),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[[],[[[[]]]]]]] => ([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8) => ([(0,6),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[[[[[]]]],[]]]] => ([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8) => ([(0,6),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[[[],[],[],[]]]]] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8) => ([(0,6),(5,7),(6,5),(7,1),(7,2),(7,3),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[],[[],[[],[]]]]] => ([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => ([(0,5),(0,8),(6,2),(6,7),(7,3),(7,4),(8,1),(8,6)],9) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[],[[[],[]],[]]]] => ([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => ([(0,5),(0,8),(6,2),(6,7),(7,3),(7,4),(8,1),(8,6)],9) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[[],[]],[[],[]]]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(5,8),(6,8),(8,7)],9) => ([(0,5),(0,8),(6,3),(6,4),(7,1),(7,2),(8,6),(8,7)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 0
[[],[[[],[[],[]]],[]]] => ([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => ([(0,5),(0,8),(6,2),(6,7),(7,3),(7,4),(8,1),(8,6)],9) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[[[],[]],[]],[]]] => ([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => ([(0,5),(0,8),(6,2),(6,7),(7,3),(7,4),(8,1),(8,6)],9) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[],[]],[[],[[],[]]]] => ([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9) => ([(0,7),(0,8),(6,1),(6,2),(7,3),(7,4),(8,5),(8,6)],9) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[],[]],[[[],[]],[]]] => ([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9) => ([(0,7),(0,8),(6,1),(6,2),(7,3),(7,4),(8,5),(8,6)],9) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[],[[],[]]],[[],[]]] => ([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9) => ([(0,7),(0,8),(6,1),(6,2),(7,3),(7,4),(8,5),(8,6)],9) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[[],[]],[]],[[],[]]] => ([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9) => ([(0,7),(0,8),(6,1),(6,2),(7,3),(7,4),(8,5),(8,6)],9) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => 0
[[[],[[],[[],[]]]],[]] => ([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => ([(0,5),(0,8),(6,2),(6,7),(7,3),(7,4),(8,1),(8,6)],9) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[],[[[],[]],[]]],[]] => ([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => ([(0,5),(0,8),(6,2),(6,7),(7,3),(7,4),(8,1),(8,6)],9) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[],[]],[[],[]]],[]] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(5,8),(6,8),(8,7)],9) => ([(0,5),(0,8),(6,3),(6,4),(7,1),(7,2),(8,6),(8,7)],9) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 0
[[[[],[[],[]]],[]],[]] => ([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => ([(0,5),(0,8),(6,2),(6,7),(7,3),(7,4),(8,1),(8,6)],9) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[[[[],[]],[]],[]],[]] => ([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9) => ([(0,5),(0,8),(6,2),(6,7),(7,3),(7,4),(8,1),(8,6)],9) => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[[],[[],[[],[[],[[],[]]]]]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[],[[],[[],[[[],[]],[]]]]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[],[[],[[[],[]],[[],[]]]]] => ([(0,9),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,10),(8,9),(10,8)],11) => ([(0,6),(0,10),(7,8),(7,9),(8,4),(8,5),(9,2),(9,3),(10,1),(10,7)],11) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => 0
[[],[[],[[[],[[],[]]],[]]]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[],[[],[[[[],[]],[]],[]]]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[],[[[],[[],[[],[]]]],[]]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[],[[[],[[[],[]],[]]],[]]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[],[[[[],[]],[[],[]]],[]]] => ([(0,9),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,10),(8,9),(10,8)],11) => ([(0,6),(0,10),(7,8),(7,9),(8,4),(8,5),(9,2),(9,3),(10,1),(10,7)],11) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => 0
[[],[[[[],[[],[]]],[]],[]]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[],[[[[[],[]],[]],[]],[]]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[],[[],[[],[[],[]]]]],[]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[],[[],[[[],[]],[]]]],[]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[],[[[],[]],[[],[]]]],[]] => ([(0,9),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,10),(8,9),(10,8)],11) => ([(0,6),(0,10),(7,8),(7,9),(8,4),(8,5),(9,2),(9,3),(10,1),(10,7)],11) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => 0
[[[],[[[],[[],[]]],[]]],[]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[],[[[[],[]],[]],[]]],[]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[[],[[],[[],[]]]],[]],[]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[[],[[[],[]],[]]],[]],[]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[[[],[]],[[],[]]],[]],[]] => ([(0,9),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,10),(8,9),(10,8)],11) => ([(0,6),(0,10),(7,8),(7,9),(8,4),(8,5),(9,2),(9,3),(10,1),(10,7)],11) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => 0
[[[[[],[[],[]]],[]],[]],[]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[[[[[],[]],[]],[]],[]],[]] => ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11) => ([(0,6),(0,10),(7,5),(7,9),(8,2),(8,3),(9,4),(9,8),(10,1),(10,7)],11) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[[],[[],[[],[[],[[],[[],[]]]]]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[[],[[],[[],[[[],[]],[]]]]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[[],[[],[[[],[[],[]]],[]]]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[[],[[],[[[[],[]],[]],[]]]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[[],[[[],[[],[[],[]]]],[]]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[[],[[[],[[[],[]],[]]],[]]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[[],[[[[],[[],[]]],[]],[]]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[[],[[[[[],[]],[]],[]],[]]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[[[],[[],[[],[[],[]]]]],[]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[[[],[[],[[[],[]],[]]]],[]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[[[],[[[],[[],[]]],[]]],[]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[[[],[[[[],[]],[]],[]]],[]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[[[[],[[],[[],[]]]],[]],[]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[[[[],[[[],[]],[]]],[]],[]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[[[[[],[[],[]]],[]],[]],[]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[],[[[[[[],[]],[]],[]],[]],[]]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[],[[],[[],[[],[[],[]]]]]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[],[[],[[],[[[],[]],[]]]]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[],[[],[[[],[[],[]]],[]]]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[],[[],[[[[],[]],[]],[]]]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[],[[[],[[],[[],[]]]],[]]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[],[[[],[[[],[]],[]]],[]]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[],[[[[],[[],[]]],[]],[]]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[],[[[[[],[]],[]],[]],[]]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[[],[[],[[],[[],[]]]]],[]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[[],[[],[[[],[]],[]]]],[]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[[],[[[],[[],[]]],[]]],[]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[[],[[[[],[]],[]],[]]],[]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[[[],[[],[[],[]]]],[]],[]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[[[],[[[],[]],[]]],[]],[]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[[[[],[[],[]]],[]],[]],[]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
[[[[[[[],[]],[]],[]],[]],[]],[]] => ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13) => ([(0,7),(0,12),(8,6),(8,11),(9,4),(9,5),(10,2),(10,9),(11,3),(11,10),(12,1),(12,8)],13) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 0
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Description
The Möbius invariant of a lattice.
The Möbius invariant of a lattice $L$ is the value of the Möbius function applied to least and greatest element, that is $\mu(L)=\mu_L(\hat{0},\hat{1})$, where $\hat{0}$ is the least element of $L$ and $\hat{1}$ is the greatest element of $L$.
For the definition of the Möbius function, see St000914The sum of the values of the Möbius function of a poset..
Map
dual poset
Description
The dual of a poset.
The dual (or opposite) of a poset $(\mathcal P,\leq)$ is the poset $(\mathcal P^d,\leq_d)$ with $x \leq_d y$ if $y \leq x$.
Map
to poset
Description
Return the poset obtained by interpreting the tree as the Hasse diagram of a graph.
Map
maximal antichains
Description
The lattice of maximal antichains in a poset.
An antichain $A$ in a poset is maximal if there is no antichain of larger cardinality which contains all elements of $A$.
The set of maximal antichains can be ordered by setting $A \leq B \Leftrightarrow \mathop{\downarrow} A \subseteq \mathop{\downarrow}B$, where $\mathop{\downarrow}A$ is the order ideal generated by $A$.