Identifier
Mp00048:
Ordered trees
—left-right symmetry⟶
Ordered trees
Mp00328: Ordered trees —DeBruijn-Morselt plane tree automorphism⟶ Ordered trees
Mp00047: Ordered trees —to poset⟶ Posets
Mp00328: Ordered trees —DeBruijn-Morselt plane tree automorphism⟶ Ordered trees
Mp00047: Ordered trees —to poset⟶ Posets
Images
=>
Cc0021;cc-rep-0Cc0021;cc-rep-1Cc0021;cc-rep-2Cc0014;cc-rep-3
[]=>[]=>[]=>([],1)
[[]]=>[[]]=>[[]]=>([(0,1)],2)
[[],[]]=>[[],[]]=>[[[]]]=>([(0,2),(2,1)],3)
[[[]]]=>[[[]]]=>[[],[]]=>([(0,2),(1,2)],3)
[[],[],[]]=>[[],[],[]]=>[[[[]]]]=>([(0,3),(2,1),(3,2)],4)
[[],[[]]]=>[[[]],[]]=>[[],[[]]]=>([(0,3),(1,2),(2,3)],4)
[[[]],[]]=>[[],[[]]]=>[[[],[]]]=>([(0,3),(1,3),(3,2)],4)
[[[],[]]]=>[[[],[]]]=>[[[]],[]]=>([(0,3),(1,2),(2,3)],4)
[[[[]]]]=>[[[[]]]]=>[[],[],[]]=>([(0,3),(1,3),(2,3)],4)
[[],[],[],[]]=>[[],[],[],[]]=>[[[[[]]]]]=>([(0,4),(2,3),(3,1),(4,2)],5)
[[],[],[[]]]=>[[[]],[],[]]=>[[],[[[]]]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[[],[[]],[]]=>[[],[[]],[]]=>[[[],[[]]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[[],[[],[]]]=>[[[],[]],[]]=>[[[]],[[]]]=>([(0,3),(1,2),(2,4),(3,4)],5)
[[],[[[]]]]=>[[[[]]],[]]=>[[],[],[[]]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[[[]],[],[]]=>[[],[],[[]]]=>[[[[],[]]]]=>([(0,4),(1,4),(2,3),(4,2)],5)
[[[]],[[]]]=>[[[]],[[]]]=>[[],[[],[]]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[[[],[]],[]]=>[[],[[],[]]]=>[[[[]],[]]]=>([(0,4),(1,2),(2,4),(4,3)],5)
[[[[]]],[]]=>[[],[[[]]]]=>[[[],[],[]]]=>([(0,4),(1,4),(2,4),(4,3)],5)
[[[],[],[]]]=>[[[],[],[]]]=>[[[[]]],[]]=>([(0,4),(1,2),(2,3),(3,4)],5)
[[[],[[]]]]=>[[[[]],[]]]=>[[],[[]],[]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[[[[]],[]]]=>[[[],[[]]]]=>[[[],[]],[]]=>([(0,4),(1,3),(2,3),(3,4)],5)
[[[[],[]]]]=>[[[[],[]]]]=>[[[]],[],[]]=>([(0,4),(1,4),(2,3),(3,4)],5)
[[[[[]]]]]=>[[[[[]]]]]=>[[],[],[],[]]=>([(0,4),(1,4),(2,4),(3,4)],5)
[[],[],[],[],[]]=>[[],[],[],[],[]]=>[[[[[[]]]]]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[],[],[],[[]]]=>[[[]],[],[],[]]=>[[],[[[[]]]]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[],[],[[]],[]]=>[[],[[]],[],[]]=>[[[],[[[]]]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[],[],[[],[]]]=>[[[],[]],[],[]]=>[[[]],[[[]]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[[],[],[[[]]]]=>[[[[]]],[],[]]=>[[],[],[[[]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[[],[[]],[],[]]=>[[],[],[[]],[]]=>[[[[],[[]]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[],[[]],[[]]]=>[[[]],[[]],[]]=>[[],[[],[[]]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[[],[[],[]],[]]=>[[],[[],[]],[]]=>[[[[]],[[]]]]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[[],[[[]]],[]]=>[[],[[[]]],[]]=>[[[],[],[[]]]]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)
[[],[[],[],[]]]=>[[[],[],[]],[]]=>[[[[]]],[[]]]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[[],[[],[[]]]]=>[[[[]],[]],[]]=>[[],[[]],[[]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[[],[[[]],[]]]=>[[[],[[]]],[]]=>[[[],[]],[[]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[[],[[[],[]]]]=>[[[[],[]]],[]]=>[[[]],[],[[]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[[],[[[[]]]]]=>[[[[[]]]],[]]=>[[],[],[],[[]]]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[[[]],[],[],[]]=>[[],[],[],[[]]]=>[[[[[],[]]]]]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[[]],[],[[]]]=>[[[]],[],[[]]]=>[[],[[[],[]]]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[[[]],[[]],[]]=>[[],[[]],[[]]]=>[[[],[[],[]]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[[[]],[[],[]]]=>[[[],[]],[[]]]=>[[[]],[[],[]]]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
[[[]],[[[]]]]=>[[[[]]],[[]]]=>[[],[],[[],[]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[[[],[]],[],[]]=>[[],[],[[],[]]]=>[[[[[]],[]]]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[[[]]],[],[]]=>[[],[],[[[]]]]=>[[[[],[],[]]]]=>([(0,5),(1,5),(2,5),(3,4),(5,3)],6)
[[[],[]],[[]]]=>[[[]],[[],[]]]=>[[],[[[]],[]]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[[[[]]],[[]]]=>[[[]],[[[]]]]=>[[],[[],[],[]]]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
[[[],[],[]],[]]=>[[],[[],[],[]]]=>[[[[[]]],[]]]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[[],[[]]],[]]=>[[],[[[]],[]]]=>[[[],[[]],[]]]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)
[[[[]],[]],[]]=>[[],[[],[[]]]]=>[[[[],[]],[]]]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[[[[],[]]],[]]=>[[],[[[],[]]]]=>[[[[]],[],[]]]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)
[[[[[]]]],[]]=>[[],[[[[]]]]]=>[[[],[],[],[]]]=>([(0,5),(1,5),(2,5),(3,5),(5,4)],6)
[[[],[],[],[]]]=>[[[],[],[],[]]]=>[[[[[]]]],[]]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[[],[],[[]]]]=>[[[[]],[],[]]]=>[[],[[[]]],[]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[[[],[[]],[]]]=>[[[],[[]],[]]]=>[[[],[[]]],[]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[[[],[[],[]]]]=>[[[[],[]],[]]]=>[[[]],[[]],[]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
[[[],[[[]]]]]=>[[[[[]]],[]]]=>[[],[],[[]],[]]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[[[[]],[],[]]]=>[[[],[],[[]]]]=>[[[[],[]]],[]]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[[[[]],[[]]]]=>[[[[]],[[]]]]=>[[],[[],[]],[]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[[[[],[]],[]]]=>[[[],[[],[]]]]=>[[[[]],[]],[]]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[[[[[]]],[]]]=>[[[],[[[]]]]]=>[[[],[],[]],[]]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
[[[[],[],[]]]]=>[[[[],[],[]]]]=>[[[[]]],[],[]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[[[[],[[]]]]]=>[[[[[]],[]]]]=>[[],[[]],[],[]]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[[[[[]],[]]]]=>[[[[],[[]]]]]=>[[[],[]],[],[]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[[[[[],[]]]]]=>[[[[[],[]]]]]=>[[[]],[],[],[]]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[[[[[[]]]]]]=>[[[[[[]]]]]]=>[[],[],[],[],[]]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[[],[],[],[],[],[]]=>[[],[],[],[],[],[]]=>[[[[[[[]]]]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[],[],[],[],[[]]]=>[[[]],[],[],[],[]]=>[[],[[[[[]]]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[],[],[[]],[]]=>[[],[[]],[],[],[]]=>[[[],[[[[]]]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[],[],[],[[],[]]]=>[[[],[]],[],[],[]]=>[[[]],[[[[]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[],[],[],[[[]]]]=>[[[[]]],[],[],[]]=>[[],[],[[[[]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)
[[],[],[[]],[],[]]=>[[],[],[[]],[],[]]=>[[[[],[[[]]]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[],[],[[]],[[]]]=>[[[]],[[]],[],[]]=>[[],[[],[[[]]]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[],[],[[],[]],[]]=>[[],[[],[]],[],[]]=>[[[[]],[[[]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[],[],[[[]]],[]]=>[[],[[[]]],[],[]]=>[[[],[],[[[]]]]]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[[],[],[[],[],[]]]=>[[[],[],[]],[],[]]=>[[[[]]],[[[]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[],[],[[],[[]]]]=>[[[[]],[]],[],[]]=>[[],[[]],[[[]]]]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[[],[],[[[]],[]]]=>[[[],[[]]],[],[]]=>[[[],[]],[[[]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[[],[],[[[],[]]]]=>[[[[],[]]],[],[]]=>[[[]],[],[[[]]]]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[[],[],[[[[]]]]]=>[[[[[]]]],[],[]]=>[[],[],[],[[[]]]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[[],[[]],[],[],[]]=>[[],[],[],[[]],[]]=>[[[[[],[[]]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[],[[]],[],[[]]]=>[[[]],[],[[]],[]]=>[[],[[[],[[]]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[],[[]],[[]],[]]=>[[],[[]],[[]],[]]=>[[[],[[],[[]]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[],[[]],[[],[]]]=>[[[],[]],[[]],[]]=>[[[]],[[],[[]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[],[[]],[[[]]]]=>[[[[]]],[[]],[]]=>[[],[],[[],[[]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[[],[[],[]],[],[]]=>[[],[],[[],[]],[]]=>[[[[[]],[[]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[],[[[]]],[],[]]=>[[],[],[[[]]],[]]=>[[[[],[],[[]]]]]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[[],[[],[]],[[]]]=>[[[]],[[],[]],[]]=>[[],[[[]],[[]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[[],[[[]]],[[]]]=>[[[]],[[[]]],[]]=>[[],[[],[],[[]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[],[[],[],[]],[]]=>[[],[[],[],[]],[]]=>[[[[[]]],[[]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[],[[],[[]]],[]]=>[[],[[[]],[]],[]]=>[[[],[[]],[[]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[[],[[[]],[]],[]]=>[[],[[],[[]]],[]]=>[[[[],[]],[[]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[[],[[[],[]]],[]]=>[[],[[[],[]]],[]]=>[[[[]],[],[[]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[[],[[[[]]]],[]]=>[[],[[[[]]]],[]]=>[[[],[],[],[[]]]]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[[],[[],[],[],[]]]=>[[[],[],[],[]],[]]=>[[[[[]]]],[[]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[],[[],[],[[]]]]=>[[[[]],[],[]],[]]=>[[],[[[]]],[[]]]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[[],[[],[[]],[]]]=>[[[],[[]],[]],[]]=>[[[],[[]]],[[]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[],[[],[[],[]]]]=>[[[[],[]],[]],[]]=>[[[]],[[]],[[]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
[[],[[],[[[]]]]]=>[[[[[]]],[]],[]]=>[[],[],[[]],[[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[[],[[[]],[],[]]]=>[[[],[],[[]]],[]]=>[[[[],[]]],[[]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[[],[[[]],[[]]]]=>[[[[]],[[]]],[]]=>[[],[[],[]],[[]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[[],[[[],[]],[]]]=>[[[],[[],[]]],[]]=>[[[[]],[]],[[]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[],[[[[]]],[]]]=>[[[],[[[]]]],[]]=>[[[],[],[]],[[]]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)
[[],[[[],[],[]]]]=>[[[[],[],[]]],[]]=>[[[[]]],[],[[]]]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[[],[[[],[[]]]]]=>[[[[[]],[]]],[]]=>[[],[[]],[],[[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[[],[[[[]],[]]]]=>[[[[],[[]]]],[]]=>[[[],[]],[],[[]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[[],[[[[],[]]]]]=>[[[[[],[]]]],[]]=>[[[]],[],[],[[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[[],[[[[[]]]]]]=>[[[[[[]]]]],[]]=>[[],[],[],[],[[]]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[[]],[],[],[],[]]=>[[],[],[],[],[[]]]=>[[[[[[],[]]]]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[]],[],[],[[]]]=>[[[]],[],[],[[]]]=>[[],[[[[],[]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[[[]],[],[[]],[]]=>[[],[[]],[],[[]]]=>[[[],[[[],[]]]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[[[]],[],[[],[]]]=>[[[],[]],[],[[]]]=>[[[]],[[[],[]]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[[[]],[],[[[]]]]=>[[[[]]],[],[[]]]=>[[],[],[[[],[]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[[[]],[[]],[],[]]=>[[],[],[[]],[[]]]=>[[[[],[[],[]]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[[[]],[[]],[[]]]=>[[[]],[[]],[[]]]=>[[],[[],[[],[]]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[[[]],[[],[]],[]]=>[[],[[],[]],[[]]]=>[[[[]],[[],[]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[[[]],[[[]]],[]]=>[[],[[[]]],[[]]]=>[[[],[],[[],[]]]]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[[[]],[[],[],[]]]=>[[[],[],[]],[[]]]=>[[[[]]],[[],[]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[[[]],[[],[[]]]]=>[[[[]],[]],[[]]]=>[[],[[]],[[],[]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[[[]],[[[]],[]]]=>[[[],[[]]],[[]]]=>[[[],[]],[[],[]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[[[]],[[[],[]]]]=>[[[[],[]]],[[]]]=>[[[]],[],[[],[]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[[[]],[[[[]]]]]=>[[[[[]]]],[[]]]=>[[],[],[],[[],[]]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[[[],[]],[],[],[]]=>[[],[],[],[[],[]]]=>[[[[[[]],[]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[]]],[],[],[]]=>[[],[],[],[[[]]]]=>[[[[[],[],[]]]]]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)
[[[],[]],[],[[]]]=>[[[]],[],[[],[]]]=>[[],[[[[]],[]]]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[[[]]],[],[[]]]=>[[[]],[],[[[]]]]=>[[],[[[],[],[]]]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)
[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]=>[[[],[[[]],[]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]=>[[[],[[],[],[]]]]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)
[[[],[]],[[],[]]]=>[[[],[]],[[],[]]]=>[[[]],[[[]],[]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[[],[]],[[[]]]]=>[[[[]]],[[],[]]]=>[[],[],[[[]],[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[[[[]]],[[],[]]]=>[[[],[]],[[[]]]]=>[[[]],[[],[],[]]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)
[[[[]]],[[[]]]]=>[[[[]]],[[[]]]]=>[[],[],[[],[],[]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)
[[[],[],[]],[],[]]=>[[],[],[[],[],[]]]=>[[[[[[]]],[]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[],[[]]],[],[]]=>[[],[],[[[]],[]]]=>[[[[],[[]],[]]]]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]=>[[[[[],[]],[]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[[[[],[]]],[],[]]=>[[],[],[[[],[]]]]=>[[[[[]],[],[]]]]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[[[[[]]]],[],[]]=>[[],[],[[[[]]]]]=>[[[[],[],[],[]]]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)
[[[],[],[]],[[]]]=>[[[]],[[],[],[]]]=>[[],[[[[]]],[]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[[],[[]]],[[]]]=>[[[]],[[[]],[]]]=>[[],[[],[[]],[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]=>[[],[[[],[]],[]]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[[[[],[]]],[[]]]=>[[[]],[[[],[]]]]=>[[],[[[]],[],[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[[[[]]]],[[]]]=>[[[]],[[[[]]]]]=>[[],[[],[],[],[]]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[[[],[],[],[]],[]]=>[[],[[],[],[],[]]]=>[[[[[[]]]],[]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[],[],[[]]],[]]=>[[],[[[]],[],[]]]=>[[[],[[[]]],[]]]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[[[],[[]],[]],[]]=>[[],[[],[[]],[]]]=>[[[[],[[]]],[]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[[],[[],[]]],[]]=>[[],[[[],[]],[]]]=>[[[[]],[[]],[]]]=>([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[[[],[[[]]]],[]]=>[[],[[[[]]],[]]]=>[[[],[],[[]],[]]]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]=>[[[[[],[]]],[]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]=>[[[],[[],[]],[]]]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]=>[[[[[]],[]],[]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]=>[[[[],[],[]],[]]]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)
[[[[],[],[]]],[]]=>[[],[[[],[],[]]]]=>[[[[[]]],[],[]]]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[[[[],[[]]]],[]]=>[[],[[[[]],[]]]]=>[[[],[[]],[],[]]]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[[[[[]],[]]],[]]=>[[],[[[],[[]]]]]=>[[[[],[]],[],[]]]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[[[[[],[]]]],[]]=>[[],[[[[],[]]]]]=>[[[[]],[],[],[]]]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[[[[[[]]]]],[]]=>[[],[[[[[]]]]]]=>[[[],[],[],[],[]]]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)
[[[],[],[],[],[]]]=>[[[],[],[],[],[]]]=>[[[[[[]]]]],[]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[[],[],[],[[]]]]=>[[[[]],[],[],[]]]=>[[],[[[[]]]],[]]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)
[[[],[],[[]],[]]]=>[[[],[[]],[],[]]]=>[[[],[[[]]]],[]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[[],[],[[],[]]]]=>[[[[],[]],[],[]]]=>[[[]],[[[]]],[]]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[[[],[],[[[]]]]]=>[[[[[]]],[],[]]]=>[[],[],[[[]]],[]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[[[],[[]],[],[]]]=>[[[],[],[[]],[]]]=>[[[[],[[]]]],[]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[[],[[]],[[]]]]=>[[[[]],[[]],[]]]=>[[],[[],[[]]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[[[],[[],[]],[]]]=>[[[],[[],[]],[]]]=>[[[[]],[[]]],[]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[[[],[[[]]],[]]]=>[[[],[[[]]],[]]]=>[[[],[],[[]]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[[],[[],[],[]]]]=>[[[[],[],[]],[]]]=>[[[[]]],[[]],[]]=>([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[[[],[[],[[]]]]]=>[[[[[]],[]],[]]]=>[[],[[]],[[]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[[[],[[[]],[]]]]=>[[[[],[[]]],[]]]=>[[[],[]],[[]],[]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[[[],[[[],[]]]]]=>[[[[[],[]]],[]]]=>[[[]],[],[[]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[[[],[[[[]]]]]]=>[[[[[[]]]],[]]]=>[[],[],[],[[]],[]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[[[]],[],[],[]]]=>[[[],[],[],[[]]]]=>[[[[[],[]]]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[[[[]],[],[[]]]]=>[[[[]],[],[[]]]]=>[[],[[[],[]]],[]]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[[[[]],[[]],[]]]=>[[[],[[]],[[]]]]=>[[[],[[],[]]],[]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[[[[]],[[],[]]]]=>[[[[],[]],[[]]]]=>[[[]],[[],[]],[]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
[[[[]],[[[]]]]]=>[[[[[]]],[[]]]]=>[[],[],[[],[]],[]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[[[[],[]],[],[]]]=>[[[],[],[[],[]]]]=>[[[[[]],[]]],[]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[[[[]]],[],[]]]=>[[[],[],[[[]]]]]=>[[[[],[],[]]],[]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)
[[[[],[]],[[]]]]=>[[[[]],[[],[]]]]=>[[],[[[]],[]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[[[[[]]],[[]]]]=>[[[[]],[[[]]]]]=>[[],[[],[],[]],[]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)
[[[[],[],[]],[]]]=>[[[],[[],[],[]]]]=>[[[[[]]],[]],[]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[[[],[[]]],[]]]=>[[[],[[[]],[]]]]=>[[[],[[]],[]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[[[[]],[]],[]]]=>[[[],[[],[[]]]]]=>[[[[],[]],[]],[]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[[[[[],[]]],[]]]=>[[[],[[[],[]]]]]=>[[[[]],[],[]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[[[[[]]]],[]]]=>[[[],[[[[]]]]]]=>[[[],[],[],[]],[]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[[[[],[],[],[]]]]=>[[[[],[],[],[]]]]=>[[[[[]]]],[],[]]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)
[[[[],[],[[]]]]]=>[[[[[]],[],[]]]]=>[[],[[[]]],[],[]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[[[[],[[]],[]]]]=>[[[[],[[]],[]]]]=>[[[],[[]]],[],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[[[[],[[],[]]]]]=>[[[[[],[]],[]]]]=>[[[]],[[]],[],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
[[[[],[[[]]]]]]=>[[[[[[]]],[]]]]=>[[],[],[[]],[],[]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[[[[]],[],[]]]]=>[[[[],[],[[]]]]]=>[[[[],[]]],[],[]]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[[[[[]],[[]]]]]=>[[[[[]],[[]]]]]=>[[],[[],[]],[],[]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[[[[[],[]],[]]]]=>[[[[],[[],[]]]]]=>[[[[]],[]],[],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[[[[[[]]],[]]]]=>[[[[],[[[]]]]]]=>[[[],[],[]],[],[]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)
[[[[[],[],[]]]]]=>[[[[[],[],[]]]]]=>[[[[]]],[],[],[]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[[[[[],[[]]]]]]=>[[[[[[]],[]]]]]=>[[],[[]],[],[],[]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[[[[[]],[]]]]]=>[[[[[],[[]]]]]]=>[[[],[]],[],[],[]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[[[[[[],[]]]]]]=>[[[[[[],[]]]]]]=>[[[]],[],[],[],[]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[[[[[[]]]]]]]=>[[[[[[[]]]]]]]=>[[],[],[],[],[],[]]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[]]=>[[[[[[[[]]]]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[]]=>[[],[[[[[[]]]]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[],[],[],[[]],[]]=>[[],[[]],[],[],[],[]]=>[[[],[[[[[]]]]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[]]=>[[[]],[[[[[]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[]]=>[[],[],[[[[[]]]]]]=>([(0,7),(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[[],[],[],[[]],[],[]]=>[[],[],[[]],[],[],[]]=>[[[[],[[[[]]]]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[]]=>[[],[[],[[[[]]]]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[],[],[[],[]],[]]=>[[],[[],[]],[],[],[]]=>[[[[]],[[[[]]]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[],[],[],[[[]]],[]]=>[[],[[[]]],[],[],[]]=>[[[],[],[[[[]]]]]]=>([(0,7),(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)
[[],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[]]=>[[[[]]],[[[[]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[]]=>[[],[[]],[[[[]]]]]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)
[[],[],[],[[[]],[]]]=>[[[],[[]]],[],[],[]]=>[[[],[]],[[[[]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[]]=>[[[]],[],[[[[]]]]]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)
[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]]]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[[],[],[[]],[],[],[]]=>[[],[],[],[[]],[],[]]=>[[[[[],[[[]]]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[]]=>[[],[[[],[[[]]]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[]]=>[[[],[[],[[[]]]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[]]=>[[[]],[[],[[[]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[],[[[]]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[[],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[]]=>[[[[[]],[[[]]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[],[],[[[]]],[],[]]=>[[],[],[[[]]],[],[]]=>[[[[],[],[[[]]]]]]=>([(0,7),(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[[],[],[[],[]],[[]]]=>[[[]],[[],[]],[],[]]=>[[],[[[]],[[[]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[]]=>[[],[[],[],[[[]]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,7),(7,6)],8)
[[],[],[[],[],[]],[]]=>[[],[[],[],[]],[],[]]=>[[[[[]]],[[[]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[],[],[[],[[]]],[]]=>[[],[[[]],[]],[],[]]=>[[[],[[]],[[[]]]]]=>([(0,7),(1,5),(2,6),(3,7),(5,7),(6,3),(7,4)],8)
[[],[],[[[]],[]],[]]=>[[],[[],[[]]],[],[]]=>[[[[],[]],[[[]]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[],[],[[[],[]]],[]]=>[[],[[[],[]]],[],[]]=>[[[[]],[],[[[]]]]]=>([(0,7),(1,5),(2,6),(3,7),(5,7),(6,3),(7,4)],8)
[[],[],[[[[]]]],[]]=>[[],[[[[]]]],[],[]]=>[[[],[],[],[[[]]]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[[],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[]]=>[[[[[]]]],[[[]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]=>[[],[[[]]],[[[]]]]=>([(0,7),(1,6),(2,5),(3,7),(4,7),(5,3),(6,4)],8)
[[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[]]=>[[[],[[]]],[[[]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]=>[[[]],[[]],[[[]]]]=>([(0,5),(1,4),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[]],[[[]]]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[[],[],[[[]],[],[]]]=>[[[],[],[[]]],[],[]]=>[[[[],[]]],[[[]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[]]=>[[],[[],[]],[[[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8)
[[],[],[[[],[]],[]]]=>[[[],[[],[]]],[],[]]=>[[[[]],[]],[[[]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[],[[[[]]],[]]]=>[[[],[[[]]]],[],[]]=>[[[],[],[]],[[[]]]]=>([(0,7),(1,7),(2,7),(3,4),(4,5),(5,6),(7,6)],8)
[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]=>[[[[]]],[],[[[]]]]=>([(0,7),(1,6),(2,5),(3,7),(4,7),(5,3),(6,4)],8)
[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]=>[[],[[]],[],[[[]]]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]=>[[[],[]],[],[[[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8)
[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]=>[[[]],[],[],[[[]]]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]=>[[],[],[],[],[[[]]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[],[[]],[],[],[],[]]=>[[],[],[],[],[[]],[]]=>[[[[[[],[[]]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[]]=>[[],[[[[],[[]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[]],[],[[]],[]]=>[[],[[]],[],[[]],[]]=>[[[],[[[],[[]]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[],[[]],[],[[],[]]]=>[[[],[]],[],[[]],[]]=>[[[]],[[[],[[]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[]]=>[[],[],[[[],[[]]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,6),(5,7),(6,5)],8)
[[],[[]],[[]],[],[]]=>[[],[],[[]],[[]],[]]=>[[[[],[[],[[]]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[]]=>[[],[[],[[],[[]]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[],[[]],[[],[]],[]]=>[[],[[],[]],[[]],[]]=>[[[[]],[[],[[]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[],[[]],[[[]]],[]]=>[[],[[[]]],[[]],[]]=>[[[],[],[[],[[]]]]]=>([(0,7),(1,7),(2,6),(3,5),(5,6),(6,7),(7,4)],8)
[[],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[]]=>[[[[]]],[[],[[]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[[],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[]]=>[[[],[]],[[],[[]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[[],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[]]=>[[[]],[],[[],[[]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[[],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[]]=>[[],[],[],[[],[[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[[],[[],[]],[],[],[]]=>[[],[],[],[[],[]],[]]=>[[[[[[]],[[]]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[],[[[]]],[],[],[]]=>[[],[],[],[[[]]],[]]=>[[[[[],[],[[]]]]]]=>([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[[],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[]]=>[[],[[[[]],[[]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[]]=>[[],[[[],[],[[]]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(5,6),(7,5)],8)
[[],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[]]=>[[[],[[[]],[[]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[]]=>[[[],[[],[],[[]]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(6,5),(7,6)],8)
[[],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[]]=>[[[]],[[[]],[[]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[],[[],[]],[[[]]]]=>[[[[]]],[[],[]],[]]=>[[],[],[[[]],[[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,6),(5,6),(6,7)],8)
[[],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[]]=>[[[]],[[],[],[[]]]]=>([(0,7),(1,7),(2,4),(3,5),(4,7),(5,6),(7,6)],8)
[[],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[]]=>[[],[],[[],[],[[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[[],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[]]=>[[[[[[]]],[[]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[]]=>[[[[],[[]],[[]]]]]=>([(0,7),(1,5),(2,4),(4,7),(5,7),(6,3),(7,6)],8)
[[],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[]]=>[[[[[],[]],[[]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[]]=>[[[[[]],[],[[]]]]]=>([(0,7),(1,5),(2,4),(4,7),(5,7),(6,3),(7,6)],8)
[[],[[[[]]]],[],[]]=>[[],[],[[[[]]]],[]]=>[[[[],[],[],[[]]]]]=>([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[[],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[]]=>[[],[[[[]]],[[]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]],[[]]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[[],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[]]=>[[],[[[],[]],[[]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[[],[[[],[]]],[[]]]=>[[[]],[[[],[]]],[]]=>[[],[[[]],[],[[]]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[[],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[]]=>[[],[[],[],[],[[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[[],[[],[],[],[]],[]]=>[[],[[],[],[],[]],[]]=>[[[[[[]]]],[[]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[],[[],[],[[]]],[]]=>[[],[[[]],[],[]],[]]=>[[[],[[[]]],[[]]]]=>([(0,7),(1,5),(2,6),(3,7),(5,7),(6,3),(7,4)],8)
[[],[[],[[]],[]],[]]=>[[],[[],[[]],[]],[]]=>[[[[],[[]]],[[]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[]]=>[[[[]],[[]],[[]]]]=>([(0,6),(1,5),(2,4),(4,7),(5,7),(6,7),(7,3)],8)
[[],[[],[[[]]]],[]]=>[[],[[[[]]],[]],[]]=>[[[],[],[[]],[[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[[],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[]]=>[[[[[],[]]],[[]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[]]=>[[[],[[],[]],[[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,7),(7,5)],8)
[[],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[]]=>[[[[[]],[]],[[]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[]]=>[[[[],[],[]],[[]]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(6,5),(7,6)],8)
[[],[[[],[],[]]],[]]=>[[],[[[],[],[]]],[]]=>[[[[[]]],[],[[]]]]=>([(0,7),(1,5),(2,6),(3,7),(5,7),(6,3),(7,4)],8)
[[],[[[],[[]]]],[]]=>[[],[[[[]],[]]],[]]=>[[[],[[]],[],[[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[[],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[]]=>[[[[],[]],[],[[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,7),(7,5)],8)
[[],[[[[],[]]]],[]]=>[[],[[[[],[]]]],[]]=>[[[[]],[],[],[[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[[],[[[[[]]]]],[]]=>[[],[[[[[]]]]],[]]=>[[[],[],[],[],[[]]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[[],[[],[],[],[],[]]]=>[[[],[],[],[],[]],[]]=>[[[[[[]]]]],[[]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[[],[],[],[[]]]]=>[[[[]],[],[],[]],[]]=>[[],[[[[]]]],[[]]]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)
[[],[[],[],[[]],[]]]=>[[[],[[]],[],[]],[]]=>[[[],[[[]]]],[[]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[]]=>[[[]],[[[]]],[[]]]=>([(0,5),(1,4),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]=>[[],[],[[[]]],[[]]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[[],[[],[[]],[],[]]]=>[[[],[],[[]],[]],[]]=>[[[[],[[]]]],[[]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]]],[[]]]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[[],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[]]=>[[[[]],[[]]],[[]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[],[[],[[[]]],[]]]=>[[[],[[[]]],[]],[]]=>[[[],[],[[]]],[[]]]=>([(0,7),(1,7),(2,4),(3,5),(4,7),(5,6),(7,6)],8)
[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]=>[[[[]]],[[]],[[]]]=>([(0,5),(1,4),(2,6),(3,7),(4,7),(5,7),(6,3)],8)
[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]=>[[],[[]],[[]],[[]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]=>[[[],[]],[[]],[[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[]]=>[[[]],[],[[]],[[]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[]]=>[[],[],[],[[]],[[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[[],[[[]],[],[],[]]]=>[[[],[],[],[[]]],[]]=>[[[[[],[]]]],[[]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[]]=>[[],[[[],[]]],[[]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,7),(6,5)],8)
[[],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[]]=>[[[],[[],[]]],[[]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]=>[[[]],[[],[]],[[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]=>[[],[],[[],[]],[[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[],[[[],[]],[],[]]]=>[[[],[],[[],[]]],[]]=>[[[[[]],[]]],[[]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[],[[[[]]],[],[]]]=>[[[],[],[[[]]]],[]]=>[[[[],[],[]]],[[]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(7,5)],8)
[[],[[[],[]],[[]]]]=>[[[[]],[[],[]]],[]]=>[[],[[[]],[]],[[]]]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[[],[[[[]]],[[]]]]=>[[[[]],[[[]]]],[]]=>[[],[[],[],[]],[[]]]=>([(0,7),(1,6),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[],[[[],[],[]],[]]]=>[[[],[[],[],[]]],[]]=>[[[[[]]],[]],[[]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[[[],[[]]],[]]]=>[[[],[[[]],[]]],[]]=>[[[],[[]],[]],[[]]]=>([(0,7),(1,7),(2,4),(3,5),(4,7),(5,6),(7,6)],8)
[[],[[[[]],[]],[]]]=>[[[],[[],[[]]]],[]]=>[[[[],[]],[]],[[]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[[],[[[[],[]]],[]]]=>[[[],[[[],[]]]],[]]=>[[[[]],[],[]],[[]]]=>([(0,7),(1,7),(2,4),(3,5),(4,7),(5,6),(7,6)],8)
[[],[[[[[]]]],[]]]=>[[[],[[[[]]]]],[]]=>[[[],[],[],[]],[[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(7,6)],8)
[[],[[[],[],[],[]]]]=>[[[[],[],[],[]]],[]]=>[[[[[]]]],[],[[]]]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)
[[],[[[],[],[[]]]]]=>[[[[[]],[],[]]],[]]=>[[],[[[]]],[],[[]]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[[],[[[],[[]],[]]]]=>[[[[],[[]],[]]],[]]=>[[[],[[]]],[],[[]]]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[[],[[[],[[],[]]]]]=>[[[[[],[]],[]]],[]]=>[[[]],[[]],[],[[]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[[],[[[],[[[]]]]]]=>[[[[[[]]],[]]],[]]=>[[],[],[[]],[],[[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[[],[[[[]],[],[]]]]=>[[[[],[],[[]]]],[]]=>[[[[],[]]],[],[[]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,7),(6,5)],8)
[[],[[[[]],[[]]]]]=>[[[[[]],[[]]]],[]]=>[[],[[],[]],[],[[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[],[[[[],[]],[]]]]=>[[[[],[[],[]]]],[]]=>[[[[]],[]],[],[[]]]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[[],[[[[[]]],[]]]]=>[[[[],[[[]]]]],[]]=>[[[],[],[]],[],[[]]]=>([(0,7),(1,6),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[],[[[[],[],[]]]]]=>[[[[[],[],[]]]],[]]=>[[[[]]],[],[],[[]]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[[],[[[[],[[]]]]]]=>[[[[[[]],[]]]],[]]=>[[],[[]],[],[],[[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[[],[[[[[]],[]]]]]=>[[[[[],[[]]]]],[]]=>[[[],[]],[],[],[[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[],[[[[[],[]]]]]]=>[[[[[[],[]]]]],[]]=>[[[]],[],[],[],[[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[[],[[[[[[]]]]]]]=>[[[[[[[]]]]]],[]]=>[[],[],[],[],[],[[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[[]],[],[],[],[],[]]=>[[],[],[],[],[],[[]]]=>[[[[[[[],[]]]]]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[]],[],[],[],[[]]]=>[[[]],[],[],[],[[]]]=>[[],[[[[[],[]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[[]],[],[],[[]],[]]=>[[],[[]],[],[],[[]]]=>[[[],[[[[],[]]]]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[[]],[],[],[[],[]]]=>[[[],[]],[],[],[[]]]=>[[[]],[[[[],[]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]]]=>[[],[],[[[[],[]]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,4)],8)
[[[]],[],[[]],[],[]]=>[[],[],[[]],[],[[]]]=>[[[[],[[[],[]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]]]=>[[],[[],[[[],[]]]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[[[]],[],[[],[]],[]]=>[[],[[],[]],[],[[]]]=>[[[[]],[[[],[]]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[[]],[],[[[]]],[]]=>[[],[[[]]],[],[[]]]=>[[[],[],[[[],[]]]]]=>([(0,7),(1,7),(2,6),(3,6),(5,7),(6,5),(7,4)],8)
[[[]],[],[[],[],[]]]=>[[[],[],[]],[],[[]]]=>[[[[]]],[[[],[]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[[]],[],[[],[[]]]]=>[[[[]],[]],[],[[]]]=>[[],[[]],[[[],[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,7),(6,5)],8)
[[[]],[],[[[]],[]]]=>[[[],[[]]],[],[[]]]=>[[[],[]],[[[],[]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,7),(6,5)],8)
[[[]],[],[[[[]]]]]=>[[[[[]]]],[],[[]]]=>[[],[],[],[[[],[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[[[]],[[]],[],[],[]]=>[[],[],[],[[]],[[]]]=>[[[[[],[[],[]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]]]=>[[],[[[],[[],[]]]]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]]]=>[[[],[[],[[],[]]]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[],[[],[]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]]]=>[[],[],[[],[[],[]]]]=>([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8)
[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]=>[[[[[]],[[],[]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]=>[[[[],[],[[],[]]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]=>[[],[[[]],[[],[]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]=>[[],[[],[],[[],[]]]]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(5,7),(7,6)],8)
[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]=>[[[[[]]],[[],[]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]=>[[[],[[]],[[],[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,7),(7,5)],8)
[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]=>[[[[],[]],[[],[]]]]=>([(0,6),(1,6),(2,5),(3,5),(5,7),(6,7),(7,4)],8)
[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]=>[[[[]],[],[[],[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,7),(7,5)],8)
[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]=>[[[],[],[],[[],[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]]]=>[[[[[]]]],[[],[]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]=>[[],[[[]]],[[],[]]]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8)
[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]=>[[[],[[]]],[[],[]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]=>[[[]],[[]],[[],[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]=>[[],[],[[]],[[],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]=>[[[[],[]]],[[],[]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]=>[[],[[],[]],[[],[]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]=>[[[[]],[]],[[],[]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]=>[[[],[],[]],[[],[]]]=>([(0,7),(1,7),(2,7),(3,5),(4,5),(5,6),(7,6)],8)
[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]=>[[[[]]],[],[[],[]]]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8)
[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]=>[[],[[]],[],[[],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]=>[[[],[]],[],[[],[]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]=>[[[]],[],[],[[],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]=>[[],[],[],[],[[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[[],[]],[],[],[],[]]=>[[],[],[],[],[[],[]]]=>[[[[[[[]],[]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[]]],[],[],[],[]]=>[[],[],[],[],[[[]]]]=>[[[[[[],[],[]]]]]]=>([(0,7),(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8)
[[[],[]],[],[],[[]]]=>[[[]],[],[],[[],[]]]=>[[],[[[[[]],[]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[[]]],[],[],[[]]]=>[[[]],[],[],[[[]]]]=>[[],[[[[],[],[]]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(7,4)],8)
[[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]]]=>[[[],[[[[]],[]]]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[[]]],[],[[]],[]]=>[[],[[]],[],[[[]]]]=>[[[],[[[],[],[]]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(6,5),(7,4)],8)
[[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]]]=>[[[]],[[[[]],[]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[],[]],[],[[[]]]]=>[[[[]]],[],[[],[]]]=>[[],[],[[[[]],[]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,6),(5,7),(6,5)],8)
[[[[]]],[],[[],[]]]=>[[[],[]],[],[[[]]]]=>[[[]],[[[],[],[]]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(7,5)],8)
[[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]]]=>[[],[],[[[],[],[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(5,7),(6,5)],8)
[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]=>[[[[],[[[]],[]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]=>[[[[],[[],[],[]]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(6,4),(7,6)],8)
[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]=>[[],[[],[[[]],[]]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]=>[[],[[],[[],[],[]]]]=>([(0,6),(1,7),(2,7),(3,7),(4,5),(5,6),(7,5)],8)
[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]=>[[[[]],[[[]],[]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]=>[[[],[],[[[]],[]]]]=>([(0,7),(1,7),(2,6),(3,5),(5,6),(6,7),(7,4)],8)
[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]=>[[[[]],[[],[],[]]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(6,5),(7,6)],8)
[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]=>[[[],[],[[],[],[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(6,7),(7,5)],8)
[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]=>[[[[]]],[[[]],[]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]=>[[],[[]],[[[]],[]]]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]=>[[[]],[],[[[]],[]]]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]=>[[],[],[],[[[]],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]=>([(0,7),(1,7),(2,7),(3,4),(4,5),(5,6),(7,6)],8)
[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]=>[[],[[]],[[],[],[]]]=>([(0,7),(1,6),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]=>[[[],[]],[[],[],[]]]=>([(0,7),(1,7),(2,7),(3,5),(4,5),(5,6),(7,6)],8)
[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]=>[[[]],[],[[],[],[]]]=>([(0,7),(1,6),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]=>[[],[],[],[[],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]]]=>[[[[[[[]]],[]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]]]=>[[[[[],[[]],[]]]]]=>([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]=>[[[[[[],[]],[]]]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]=>[[[[[[]],[],[]]]]]=>([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]]]=>[[[[[],[],[],[]]]]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)
[[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]]]=>[[],[[[[[]]],[]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]]]=>[[],[[[],[[]],[]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(5,6),(7,5)],8)
[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]=>[[],[[[[],[]],[]]]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]=>[[],[[[[]],[],[]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(5,6),(7,5)],8)
[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]=>[[],[[[],[],[],[]]]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,5)],8)
[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]=>[[[],[[[[]]],[]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]=>[[[],[[],[[]],[]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(6,5),(7,6)],8)
[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]=>[[[],[[[],[]],[]]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]=>[[[],[[[]],[],[]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(6,5),(7,6)],8)
[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]=>[[[],[[],[],[],[]]]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]]]=>[[[]],[[[[]]],[]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]=>[[],[],[[[[]]],[]]]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]=>[[[]],[[],[[]],[]]]=>([(0,7),(1,7),(2,4),(3,5),(4,7),(5,6),(7,6)],8)
[[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]]]=>[[],[],[[],[[]],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]=>[[[]],[[[],[]],[]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]=>[[],[],[[[],[]],[]]]=>([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8)
[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]=>[[[]],[[[]],[],[]]]=>([(0,7),(1,7),(2,4),(3,5),(4,7),(5,6),(7,6)],8)
[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]=>[[],[],[[[]],[],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]=>[[[]],[[],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(7,6)],8)
[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]=>[[],[],[[],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]]]=>[[[[[[[]]]],[]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]]]=>[[[[],[[[]]],[]]]]=>([(0,7),(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]=>[[[[[],[[]]],[]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]=>[[[[[]],[[]],[]]]]=>([(0,7),(1,5),(2,4),(4,7),(5,7),(6,3),(7,6)],8)
[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]=>[[[[],[],[[]],[]]]]=>([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]=>[[[[[[],[]]],[]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]=>[[[[],[[],[]],[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]=>[[[[[[]],[]],[]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]=>[[[[[],[],[]],[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(6,4),(7,6)],8)
[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]=>[[[[[[]]],[],[]]]]=>([(0,7),(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]],[],[]]]]=>([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]=>[[[[[],[]],[],[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]]]=>[[[[[]],[],[],[]]]]=>([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]]]=>[[[[],[],[],[],[]]]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[[[],[],[],[]],[[]]]=>[[[]],[[],[],[],[]]]=>[[],[[[[[]]]],[]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[[],[],[[]]],[[]]]=>[[[]],[[[]],[],[]]]=>[[],[[],[[[]]],[]]]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,7),(7,6)],8)
[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]=>[[],[[[],[[]]],[]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]=>[[],[[[]],[[]],[]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]=>[[],[[],[],[[]],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]=>[[],[[[[],[]]],[]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]=>[[],[[],[[],[]],[]]]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(5,7),(7,6)],8)
[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]=>[[],[[[[]],[]],[]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]=>[[],[[[],[],[]],[]]]=>([(0,6),(1,7),(2,7),(3,7),(4,5),(5,6),(7,5)],8)
[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]=>[[],[[[[]]],[],[]]]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,7),(7,6)],8)
[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]=>[[],[[],[[]],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]=>[[],[[[],[]],[],[]]]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(5,7),(7,6)],8)
[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]=>[[],[[[]],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]]]=>[[],[[],[],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[[[],[],[],[],[]],[]]=>[[],[[],[],[],[],[]]]=>[[[[[[[]]]]],[]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[],[],[[]]],[]]=>[[],[[[]],[],[],[]]]=>[[[],[[[[]]]],[]]]=>([(0,7),(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)
[[[],[],[[]],[]],[]]=>[[],[[],[[]],[],[]]]=>[[[[],[[[]]]],[]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[],[],[[],[]]],[]]=>[[],[[[],[]],[],[]]]=>[[[[]],[[[]]],[]]]=>([(0,7),(1,5),(2,6),(3,7),(5,7),(6,3),(7,4)],8)
[[[],[],[[[]]]],[]]=>[[],[[[[]]],[],[]]]=>[[[],[],[[[]]],[]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[[[],[[]],[],[]],[]]=>[[],[[],[],[[]],[]]]=>[[[[[],[[]]]],[]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[],[[]],[[]]],[]]=>[[],[[[]],[[]],[]]]=>[[[],[[],[[]]],[]]]=>([(0,7),(1,7),(2,6),(3,5),(5,6),(6,7),(7,4)],8)
[[[],[[],[]],[]],[]]=>[[],[[],[[],[]],[]]]=>[[[[[]],[[]]],[]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[[],[[[]]],[]],[]]=>[[],[[],[[[]]],[]]]=>[[[[],[],[[]]],[]]]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(6,5),(7,6)],8)
[[[],[[],[],[]]],[]]=>[[],[[[],[],[]],[]]]=>[[[[[]]],[[]],[]]]=>([(0,7),(1,5),(2,6),(3,7),(5,7),(6,3),(7,4)],8)
[[[],[[],[[]]]],[]]=>[[],[[[[]],[]],[]]]=>[[[],[[]],[[]],[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[[[],[[[]],[]]],[]]=>[[],[[[],[[]]],[]]]=>[[[[],[]],[[]],[]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,7),(7,5)],8)
[[[],[[[],[]]]],[]]=>[[],[[[[],[]]],[]]]=>[[[[]],[],[[]],[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[[[],[[[[]]]]],[]]=>[[],[[[[[]]]],[]]]=>[[[],[],[],[[]],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]]]=>[[[[[[],[]]]],[]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]=>[[[],[[[],[]]],[]]]=>([(0,7),(1,7),(2,6),(3,6),(5,7),(6,5),(7,4)],8)
[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]=>[[[[],[[],[]]],[]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]=>[[[[]],[[],[]],[]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(6,7),(7,5)],8)
[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]=>[[[],[],[[],[]],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]=>[[[[[[]],[]]],[]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]=>[[[[[],[],[]]],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(6,5),(7,4)],8)
[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]=>[[[],[[[]],[]],[]]]=>([(0,7),(1,7),(2,6),(3,5),(5,6),(6,7),(7,4)],8)
[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]=>[[[],[[],[],[]],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(6,7),(7,5)],8)
[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]=>[[[[[[]]],[]],[]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]],[]],[]]]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(6,5),(7,6)],8)
[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]=>[[[[[],[]],[]],[]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]=>[[[[[]],[],[]],[]]]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(6,5),(7,6)],8)
[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]=>[[[[],[],[],[]],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[[[[],[],[],[]]],[]]=>[[],[[[],[],[],[]]]]=>[[[[[[]]]],[],[]]]=>([(0,7),(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)
[[[[],[],[[]]]],[]]=>[[],[[[[]],[],[]]]]=>[[[],[[[]]],[],[]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]]]=>[[[[],[[]]],[],[]]]=>([(0,7),(1,7),(2,6),(3,5),(5,6),(6,7),(7,4)],8)
[[[[],[[],[]]]],[]]=>[[],[[[[],[]],[]]]]=>[[[[]],[[]],[],[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[[[[],[[[]]]]],[]]=>[[],[[[[[]]],[]]]]=>[[[],[],[[]],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]]]=>[[[[[],[]]],[],[]]]=>([(0,7),(1,7),(2,6),(3,6),(5,7),(6,5),(7,4)],8)
[[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]]]=>[[[],[[],[]],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]]]=>[[[[[]],[]],[],[]]]=>([(0,7),(1,7),(2,6),(3,5),(5,6),(6,7),(7,4)],8)
[[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]]]=>[[[[],[],[]],[],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(6,7),(7,5)],8)
[[[[[],[],[]]]],[]]=>[[],[[[[],[],[]]]]]=>[[[[[]]],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[[[[[],[[]]]]],[]]=>[[],[[[[[]],[]]]]]=>[[[],[[]],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[[[[[[]],[]]]],[]]=>[[],[[[[],[[]]]]]]=>[[[[],[]],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[[[[[[],[]]]]],[]]=>[[],[[[[[],[]]]]]]=>[[[[]],[],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[[[[[[[]]]]]],[]]=>[[],[[[[[[]]]]]]]=>[[[],[],[],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[[[],[],[],[],[],[]]]=>[[[],[],[],[],[],[]]]=>[[[[[[[]]]]]],[]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[],[],[],[],[[]]]]=>[[[[]],[],[],[],[]]]=>[[],[[[[[]]]]],[]]=>([(0,7),(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[[[],[],[],[[]],[]]]=>[[[],[[]],[],[],[]]]=>[[[],[[[[]]]]],[]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[[],[],[],[[],[]]]]=>[[[[],[]],[],[],[]]]=>[[[]],[[[[]]]],[]]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)
[[[],[],[],[[[]]]]]=>[[[[[]]],[],[],[]]]=>[[],[],[[[[]]]],[]]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[[[],[],[[]],[],[]]]=>[[[],[],[[]],[],[]]]=>[[[[],[[[]]]]],[]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[[],[],[[]],[[]]]]=>[[[[]],[[]],[],[]]]=>[[],[[],[[[]]]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[[[],[],[[],[]],[]]]=>[[[],[[],[]],[],[]]]=>[[[[]],[[[]]]],[]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[[],[],[[[]]],[]]]=>[[[],[[[]]],[],[]]]=>[[[],[],[[[]]]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,7),(7,6)],8)
[[[],[],[[],[],[]]]]=>[[[[],[],[]],[],[]]]=>[[[[]]],[[[]]],[]]=>([(0,7),(1,6),(2,5),(3,7),(4,7),(5,3),(6,4)],8)
[[[],[],[[],[[]]]]]=>[[[[[]],[]],[],[]]]=>[[],[[]],[[[]]],[]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[[[],[],[[[]],[]]]]=>[[[[],[[]]],[],[]]]=>[[[],[]],[[[]]],[]]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8)
[[[],[],[[[],[]]]]]=>[[[[[],[]]],[],[]]]=>[[[]],[],[[[]]],[]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[[[],[],[[[[]]]]]]=>[[[[[[]]]],[],[]]]=>[[],[],[],[[[]]],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[[],[[]],[],[],[]]]=>[[[],[],[],[[]],[]]]=>[[[[[],[[]]]]],[]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[],[[]],[],[[]]]]=>[[[[]],[],[[]],[]]]=>[[],[[[],[[]]]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,6),(5,7),(6,5)],8)
[[[],[[]],[[]],[]]]=>[[[],[[]],[[]],[]]]=>[[[],[[],[[]]]],[]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]]]=>[[[]],[[],[[]]],[]]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]]]=>[[],[],[[],[[]]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[[[],[[],[]],[],[]]]=>[[[],[],[[],[]],[]]]=>[[[[[]],[[]]]],[]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[[],[[[]]],[],[]]]=>[[[],[],[[[]]],[]]]=>[[[[],[],[[]]]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(5,6),(7,5)],8)
[[[],[[],[]],[[]]]]=>[[[[]],[[],[]],[]]]=>[[],[[[]],[[]]],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,6),(5,6),(6,7)],8)
[[[],[[[]]],[[]]]]=>[[[[]],[[[]]],[]]]=>[[],[[],[],[[]]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[[[],[[],[],[]],[]]]=>[[[],[[],[],[]],[]]]=>[[[[[]]],[[]]],[]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[[],[[],[[]]],[]]]=>[[[],[[[]],[]],[]]]=>[[[],[[]],[[]]],[]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[[[],[[[]],[]],[]]]=>[[[],[[],[[]]],[]]]=>[[[[],[]],[[]]],[]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[[[],[[[],[]]],[]]]=>[[[],[[[],[]]],[]]]=>[[[[]],[],[[]]],[]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[[[],[[[[]]]],[]]]=>[[[],[[[[]]]],[]]]=>[[[],[],[],[[]]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[[[],[[],[],[],[]]]]=>[[[[],[],[],[]],[]]]=>[[[[[]]]],[[]],[]]=>([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8)
[[[],[[],[],[[]]]]]=>[[[[[]],[],[]],[]]]=>[[],[[[]]],[[]],[]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[[[],[[],[[]],[]]]]=>[[[[],[[]],[]],[]]]=>[[[],[[]]],[[]],[]]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[[[],[[],[[],[]]]]]=>[[[[[],[]],[]],[]]]=>[[[]],[[]],[[]],[]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8)
[[[],[[],[[[]]]]]]=>[[[[[[]]],[]],[]]]=>[[],[],[[]],[[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[[[],[[[]],[],[]]]]=>[[[[],[],[[]]],[]]]=>[[[[],[]]],[[]],[]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,7),(6,5)],8)
[[[],[[[]],[[]]]]]=>[[[[[]],[[]]],[]]]=>[[],[[],[]],[[]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[[],[[[],[]],[]]]]=>[[[[],[[],[]]],[]]]=>[[[[]],[]],[[]],[]]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[[[],[[[[]]],[]]]]=>[[[[],[[[]]]],[]]]=>[[[],[],[]],[[]],[]]=>([(0,7),(1,6),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[[],[[[],[],[]]]]]=>[[[[[],[],[]]],[]]]=>[[[[]]],[],[[]],[]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[[[],[[[],[[]]]]]]=>[[[[[[]],[]]],[]]]=>[[],[[]],[],[[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[[[],[[[[]],[]]]]]=>[[[[[],[[]]]],[]]]=>[[[],[]],[],[[]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[[],[[[[],[]]]]]]=>[[[[[[],[]]]],[]]]=>[[[]],[],[],[[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[[[],[[[[[]]]]]]]=>[[[[[[[]]]]],[]]]=>[[],[],[],[],[[]],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[[[]],[],[],[],[]]]=>[[[],[],[],[],[[]]]]=>[[[[[[],[]]]]],[]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[[[]],[],[],[[]]]]=>[[[[]],[],[],[[]]]]=>[[],[[[[],[]]]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,4)],8)
[[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]]]=>[[[],[[[],[]]]],[]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]=>[[[]],[[[],[]]],[]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,7),(6,5)],8)
[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]=>[[],[],[[[],[]]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]=>[[[[],[[],[]]]],[]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]=>[[],[[],[[],[]]],[]]=>([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8)
[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]=>[[[[]],[[],[]]],[]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]=>[[[],[],[[],[]]],[]]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(5,7),(7,6)],8)
[[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]]]=>[[[[]]],[[],[]],[]]=>([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8)
[[[[]],[[],[[]]]]]=>[[[[[]],[]],[[]]]]=>[[],[[]],[[],[]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]]]=>[[[],[]],[[],[]],[]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
[[[[]],[[[],[]]]]]=>[[[[[],[]]],[[]]]]=>[[[]],[],[[],[]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[[[]],[[[[]]]]]]=>[[[[[[]]]],[[]]]]=>[[],[],[],[[],[]],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]]]=>[[[[[[]],[]]]],[]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]]]=>[[[[[],[],[]]]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(7,4)],8)
[[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]]]=>[[],[[[[]],[]]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,6),(5,7),(6,5)],8)
[[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]]]=>[[],[[[],[],[]]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(5,7),(6,5)],8)
[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]=>[[[],[[[]],[]]],[]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]=>[[[],[[],[],[]]],[]]=>([(0,6),(1,7),(2,7),(3,7),(4,5),(5,6),(7,5)],8)
[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]=>[[[]],[[[]],[]],[]]=>([(0,7),(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8)
[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]=>[[],[],[[[]],[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]=>[[[]],[[],[],[]],[]]=>([(0,7),(1,6),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]=>[[],[],[[],[],[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]]]=>[[[[[[]]],[]]],[]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]]]=>[[[[],[[]],[]]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(5,6),(7,5)],8)
[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]=>[[[[[],[]],[]]],[]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]]]=>[[[[[]],[],[]]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,7),(5,6),(7,5)],8)
[[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]]]=>[[[[],[],[],[]]],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,5)],8)
[[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]]]=>[[],[[[[]]],[]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]=>[[],[[],[[]],[]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]=>[[],[[[],[]],[]],[]]=>([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8)
[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]=>[[],[[[]],[],[]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]=>[[],[[],[],[],[]],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[[[[],[],[],[]],[]]]=>[[[],[[],[],[],[]]]]=>[[[[[[]]]],[]],[]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[[[],[],[[]]],[]]]=>[[[],[[[]],[],[]]]]=>[[[],[[[]]],[]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,7),(7,6)],8)
[[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]]]=>[[[[],[[]]],[]],[]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[[[],[[],[]]],[]]]=>[[[],[[[],[]],[]]]]=>[[[[]],[[]],[]],[]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(7,6)],8)
[[[[],[[[]]]],[]]]=>[[[],[[[[]]],[]]]]=>[[[],[],[[]],[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]=>[[[[[],[]]],[]],[]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]=>[[[],[[],[]],[]],[]]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(5,7),(7,6)],8)
[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]=>[[[[[]],[]],[]],[]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]=>[[[[],[],[]],[]],[]]=>([(0,6),(1,7),(2,7),(3,7),(4,5),(5,6),(7,5)],8)
[[[[[],[],[]]],[]]]=>[[[],[[[],[],[]]]]]=>[[[[[]]],[],[]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,7),(7,6)],8)
[[[[[],[[]]]],[]]]=>[[[],[[[[]],[]]]]]=>[[[],[[]],[],[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]]]=>[[[[],[]],[],[]],[]]=>([(0,7),(1,7),(2,5),(3,5),(4,6),(5,7),(7,6)],8)
[[[[[[],[]]]],[]]]=>[[[],[[[[],[]]]]]]=>[[[[]],[],[],[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[[[[[[[]]]]],[]]]=>[[[],[[[[[]]]]]]]=>[[[],[],[],[],[]],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[[[[],[],[],[],[]]]]=>[[[[],[],[],[],[]]]]=>[[[[[[]]]]],[],[]]=>([(0,7),(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[[[[],[],[],[[]]]]]=>[[[[[]],[],[],[]]]]=>[[],[[[[]]]],[],[]]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[[[[],[],[[]],[]]]]=>[[[[],[[]],[],[]]]]=>[[[],[[[]]]],[],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[[[[],[],[[],[]]]]]=>[[[[[],[]],[],[]]]]=>[[[]],[[[]]],[],[]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[[[[],[],[[[]]]]]]=>[[[[[[]]],[],[]]]]=>[[],[],[[[]]],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[[[],[[]],[],[]]]]=>[[[[],[],[[]],[]]]]=>[[[[],[[]]]],[],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,6),(5,7),(6,5)],8)
[[[[],[[]],[[]]]]]=>[[[[[]],[[]],[]]]]=>[[],[[],[[]]],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[[[[],[[],[]],[]]]]=>[[[[],[[],[]],[]]]]=>[[[[]],[[]]],[],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,6),(5,6),(6,7)],8)
[[[[],[[[]]],[]]]]=>[[[[],[[[]]],[]]]]=>[[[],[],[[]]],[],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[[[[],[[],[],[]]]]]=>[[[[[],[],[]],[]]]]=>[[[[]]],[[]],[],[]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8)
[[[[],[[],[[]]]]]]=>[[[[[[]],[]],[]]]]=>[[],[[]],[[]],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[[[[],[[[]],[]]]]]=>[[[[[],[[]]],[]]]]=>[[[],[]],[[]],[],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[[[],[[[],[]]]]]]=>[[[[[[],[]]],[]]]]=>[[[]],[],[[]],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[[[[],[[[[]]]]]]]=>[[[[[[[]]]],[]]]]=>[[],[],[],[[]],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[[[[]],[],[],[]]]]=>[[[[],[],[],[[]]]]]=>[[[[[],[]]]],[],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,4)],8)
[[[[[]],[],[[]]]]]=>[[[[[]],[],[[]]]]]=>[[],[[[],[]]],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[[[[[]],[[]],[]]]]=>[[[[],[[]],[[]]]]]=>[[[],[[],[]]],[],[]]=>([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8)
[[[[[]],[[],[]]]]]=>[[[[[],[]],[[]]]]]=>[[[]],[[],[]],[],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8)
[[[[[]],[[[]]]]]]=>[[[[[[]]],[[]]]]]=>[[],[],[[],[]],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[[[[],[]],[],[]]]]=>[[[[],[],[[],[]]]]]=>[[[[[]],[]]],[],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,6),(5,7),(6,5)],8)
[[[[[[]]],[],[]]]]=>[[[[],[],[[[]]]]]]=>[[[[],[],[]]],[],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,6),(5,7),(6,5)],8)
[[[[[],[]],[[]]]]]=>[[[[[]],[[],[]]]]]=>[[],[[[]],[]],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[[[[[[]]],[[]]]]]=>[[[[[]],[[[]]]]]]=>[[],[[],[],[]],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[[[[[],[],[]],[]]]]=>[[[[],[[],[],[]]]]]=>[[[[[]]],[]],[],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[[[[[],[[]]],[]]]]=>[[[[],[[[]],[]]]]]=>[[[],[[]],[]],[],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[[[[[[]],[]],[]]]]=>[[[[],[[],[[]]]]]]=>[[[[],[]],[]],[],[]]=>([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8)
[[[[[[],[]]],[]]]]=>[[[[],[[[],[]]]]]]=>[[[[]],[],[]],[],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[[[[[[[]]]],[]]]]=>[[[[],[[[[]]]]]]]=>[[[],[],[],[]],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[[[[[],[],[],[]]]]]=>[[[[[],[],[],[]]]]]=>[[[[[]]]],[],[],[]]=>([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[[[[[],[],[[]]]]]]=>[[[[[[]],[],[]]]]]=>[[],[[[]]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[[[[],[[]],[]]]]]=>[[[[[],[[]],[]]]]]=>[[[],[[]]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[[[[[],[[],[]]]]]]=>[[[[[[],[]],[]]]]]=>[[[]],[[]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8)
[[[[[],[[[]]]]]]]=>[[[[[[[]]],[]]]]]=>[[],[],[[]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[[[[[]],[],[]]]]]=>[[[[[],[],[[]]]]]]=>[[[[],[]]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[[[[[[]],[[]]]]]]=>[[[[[[]],[[]]]]]]=>[[],[[],[]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[[[[[],[]],[]]]]]=>[[[[[],[[],[]]]]]]=>[[[[]],[]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[[[[[[[]]],[]]]]]=>[[[[[],[[[]]]]]]]=>[[[],[],[]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[[[[[[],[],[]]]]]]=>[[[[[[],[],[]]]]]]=>[[[[]]],[],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[[[[[],[[]]]]]]]=>[[[[[[[]],[]]]]]]=>[[],[[]],[],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[[[[[[]],[]]]]]]=>[[[[[[],[[]]]]]]]=>[[[],[]],[],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[[[[[[],[]]]]]]]=>[[[[[[[],[]]]]]]]=>[[[]],[],[],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[[[[[[[]]]]]]]]=>[[[[[[[[]]]]]]]]=>[[],[],[],[],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[],[],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[],[]]=>[[[[[[[[[]]]]]]]]]=>([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
[[],[],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[],[]]=>[[],[[[[[[[]]]]]]]]=>([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9)
[[],[],[],[],[],[[]],[]]=>[[],[[]],[],[],[],[],[]]=>[[[],[[[[[[]]]]]]]]=>([(0,8),(1,7),(2,8),(4,6),(5,4),(6,2),(7,5),(8,3)],9)
[[],[],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[],[]]=>[[[]],[[[[[[]]]]]]]=>([(0,7),(1,3),(2,8),(3,8),(4,6),(5,4),(6,2),(7,5)],9)
[[],[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[],[]]=>[[],[],[[[[[[]]]]]]]=>([(0,8),(1,8),(2,7),(3,8),(4,6),(5,4),(6,3),(7,5)],9)
[[],[],[],[],[[]],[],[]]=>[[],[],[[]],[],[],[],[]]=>[[[[],[[[[[]]]]]]]]=>([(0,8),(1,6),(3,8),(4,5),(5,3),(6,4),(7,2),(8,7)],9)
[[],[],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[],[]]=>[[],[[],[[[[[]]]]]]]=>([(0,8),(1,7),(2,6),(3,7),(4,5),(5,3),(6,4),(7,8)],9)
[[],[],[],[],[[],[]],[]]=>[[],[[],[]],[],[],[],[]]=>[[[[]],[[[[[]]]]]]]=>([(0,7),(1,4),(2,8),(4,8),(5,6),(6,2),(7,5),(8,3)],9)
[[],[],[],[],[[[]]],[]]=>[[],[[[]]],[],[],[],[]]=>[[[],[],[[[[[]]]]]]]=>([(0,8),(1,8),(2,7),(3,8),(5,6),(6,3),(7,5),(8,4)],9)
[[],[],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[],[]]=>[[[[]]],[[[[[]]]]]]=>([(0,7),(1,6),(2,8),(3,8),(4,5),(5,3),(6,4),(7,2)],9)
[[],[],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[],[]]=>[[],[[]],[[[[[]]]]]]=>([(0,8),(1,7),(2,4),(3,8),(4,8),(5,6),(6,3),(7,5)],9)
[[],[],[],[],[[[]],[]]]=>[[[],[[]]],[],[],[],[]]=>[[[],[]],[[[[[]]]]]]=>([(0,8),(1,8),(2,6),(3,7),(4,5),(5,3),(6,4),(8,7)],9)
[[],[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[],[]]=>[[[]],[],[[[[[]]]]]]=>([(0,8),(1,7),(2,4),(3,8),(4,8),(5,6),(6,3),(7,5)],9)
[[],[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[],[]]=>[[],[],[],[[[[[]]]]]]=>([(0,4),(1,8),(2,8),(3,8),(4,7),(5,8),(6,5),(7,6)],9)
[[],[],[],[[]],[],[],[]]=>[[],[],[],[[]],[],[],[]]=>[[[[[],[[[[]]]]]]]]=>([(0,8),(1,6),(3,8),(4,3),(5,2),(6,4),(7,5),(8,7)],9)
[[],[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[],[]]=>[[],[[[],[[[[]]]]]]]=>([(0,8),(1,7),(2,6),(3,8),(4,7),(5,3),(6,5),(8,4)],9)
[[],[],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[],[]]=>[[[],[[],[[[[]]]]]]]=>([(0,8),(1,7),(2,6),(4,7),(5,4),(6,5),(7,8),(8,3)],9)
[[],[],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[],[]]=>[[[]],[[],[[[[]]]]]]=>([(0,7),(1,6),(2,4),(3,7),(4,8),(5,3),(6,5),(7,8)],9)
[[],[],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[],[]]=>[[],[],[[],[[[[]]]]]]=>([(0,4),(1,8),(2,8),(3,7),(4,6),(5,7),(6,5),(7,8)],9)
[[],[],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[],[]]=>[[[[[]],[[[[]]]]]]]=>([(0,7),(1,4),(3,8),(4,8),(5,3),(6,2),(7,5),(8,6)],9)
[[],[],[],[[[]]],[],[]]=>[[],[],[[[]]],[],[],[]]=>[[[[],[],[[[[]]]]]]]=>([(0,8),(1,8),(2,6),(4,8),(5,4),(6,5),(7,3),(8,7)],9)
[[],[],[],[[],[]],[[]]]=>[[[]],[[],[]],[],[],[]]=>[[],[[[]],[[[[]]]]]]=>([(0,8),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5),(7,8)],9)
[[],[],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[],[]]=>[[],[[],[],[[[[]]]]]]=>([(0,4),(1,8),(2,8),(3,7),(4,6),(5,8),(6,5),(8,7)],9)
[[],[],[],[[],[],[]],[]]=>[[],[[],[],[]],[],[],[]]=>[[[[[]]],[[[[]]]]]]=>([(0,6),(1,7),(2,8),(3,8),(5,2),(6,3),(7,5),(8,4)],9)
[[],[],[],[[],[[]]],[]]=>[[],[[[]],[]],[],[],[]]=>[[[],[[]],[[[[]]]]]]=>([(0,8),(1,7),(2,5),(3,8),(5,8),(6,3),(7,6),(8,4)],9)
[[],[],[],[[[]],[]],[]]=>[[],[[],[[]]],[],[],[]]=>[[[[],[]],[[[[]]]]]]=>([(0,7),(1,7),(2,6),(4,8),(5,4),(6,5),(7,8),(8,3)],9)
[[],[],[],[[[],[]]],[]]=>[[],[[[],[]]],[],[],[]]=>[[[[]],[],[[[[]]]]]]=>([(0,8),(1,7),(2,5),(3,8),(5,8),(6,3),(7,6),(8,4)],9)
[[],[],[],[[[[]]]],[]]=>[[],[[[[]]]],[],[],[]]=>[[[],[],[],[[[[]]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(6,7),(7,8),(8,5)],9)
[[],[],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[],[]]=>[[[[[]]]],[[[[]]]]]=>([(0,7),(1,6),(2,8),(3,8),(4,2),(5,3),(6,4),(7,5)],9)
[[],[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[],[]]=>[[],[[[]]],[[[[]]]]]=>([(0,8),(1,6),(2,7),(3,8),(4,8),(5,4),(6,5),(7,3)],9)
[[],[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[],[]]=>[[[],[[]]],[[[[]]]]]=>([(0,7),(1,6),(2,4),(3,8),(4,7),(5,3),(6,5),(7,8)],9)
[[],[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[],[]]=>[[[]],[[]],[[[[]]]]]=>([(0,5),(1,4),(2,7),(3,8),(4,8),(5,8),(6,3),(7,6)],9)
[[],[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[],[]]=>[[],[],[[]],[[[[]]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[],[],[[[]],[],[]]]=>[[[],[],[[]]],[],[],[]]=>[[[[],[]]],[[[[]]]]]=>([(0,8),(1,8),(2,6),(3,7),(4,7),(5,4),(6,5),(8,3)],9)
[[],[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[],[]]=>[[],[[],[]],[[[[]]]]]=>([(0,4),(1,8),(2,7),(3,7),(4,6),(5,8),(6,5),(7,8)],9)
[[],[],[],[[[],[]],[]]]=>[[[],[[],[]]],[],[],[]]=>[[[[]],[]],[[[[]]]]]=>([(0,7),(1,6),(2,4),(3,8),(4,7),(5,3),(6,5),(7,8)],9)
[[],[],[],[[[[]]],[]]]=>[[[],[[[]]]],[],[],[]]=>[[[],[],[]],[[[[]]]]]=>([(0,4),(1,8),(2,8),(3,8),(4,6),(5,7),(6,5),(8,7)],9)
[[],[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[],[]]=>[[[[]]],[],[[[[]]]]]=>([(0,8),(1,6),(2,7),(3,8),(4,8),(5,4),(6,5),(7,3)],9)
[[],[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[],[]]=>[[],[[]],[],[[[[]]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[],[]]=>[[[],[]],[],[[[[]]]]]=>([(0,4),(1,8),(2,7),(3,7),(4,6),(5,8),(6,5),(7,8)],9)
[[],[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[],[]]=>[[[]],[],[],[[[[]]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[],[]]=>[[],[],[],[],[[[[]]]]]=>([(0,5),(1,8),(2,8),(3,8),(4,8),(5,7),(6,8),(7,6)],9)
[[],[],[[]],[],[],[],[]]=>[[],[],[],[],[[]],[],[]]=>[[[[[[],[[[]]]]]]]]=>([(0,8),(1,6),(3,8),(4,5),(5,2),(6,3),(7,4),(8,7)],9)
[[],[],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[],[]]=>[[],[[[[],[[[]]]]]]]=>([(0,7),(1,8),(2,5),(3,7),(4,8),(5,4),(6,3),(8,6)],9)
[[],[],[[]],[],[[]],[]]=>[[],[[]],[],[[]],[],[]]=>[[[],[[[],[[[]]]]]]]=>([(0,7),(1,8),(2,6),(3,8),(5,7),(6,3),(7,4),(8,5)],9)
[[],[],[[]],[],[[],[]]]=>[[[],[]],[],[[]],[],[]]=>[[[]],[[[],[[[]]]]]]=>([(0,8),(1,5),(2,6),(3,8),(4,7),(5,7),(6,3),(8,4)],9)
[[],[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[],[]]=>[[],[],[[[],[[[]]]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(5,8),(6,7),(7,5)],9)
[[],[],[[]],[[]],[],[]]=>[[],[],[[]],[[]],[],[]]=>[[[[],[[],[[[]]]]]]]=>([(0,8),(1,7),(2,5),(4,7),(5,4),(6,3),(7,8),(8,6)],9)
[[],[],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[],[]]=>[[],[[],[[],[[[]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(4,5),(5,6),(6,8),(8,7)],9)
[[],[],[[]],[[],[]],[]]=>[[],[[],[]],[[]],[],[]]=>[[[[]],[[],[[[]]]]]]=>([(0,7),(1,5),(2,6),(4,7),(5,8),(6,4),(7,8),(8,3)],9)
[[],[],[[]],[[[]]],[]]=>[[],[[[]]],[[]],[],[]]=>[[[],[],[[],[[[]]]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(6,7),(7,8),(8,5)],9)
[[],[],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[],[]]=>[[[[]]],[[],[[[]]]]]=>([(0,7),(1,5),(2,6),(3,8),(4,7),(5,3),(6,4),(7,8)],9)
[[],[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[],[]]=>[[],[[]],[[],[[[]]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[],[]]=>[[[],[]],[[],[[[]]]]]=>([(0,6),(1,6),(2,7),(3,4),(4,5),(5,7),(6,8),(7,8)],9)
[[],[],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[],[]]=>[[[]],[],[[],[[[]]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[],[]]=>[[],[],[],[[],[[[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[],[],[[],[]],[],[],[]]=>[[],[],[],[[],[]],[],[]]=>[[[[[[]],[[[]]]]]]]=>([(0,7),(1,4),(3,8),(4,8),(5,2),(6,5),(7,3),(8,6)],9)
[[],[],[[[]]],[],[],[]]=>[[],[],[],[[[]]],[],[]]=>[[[[[],[],[[[]]]]]]]=>([(0,8),(1,8),(2,6),(4,8),(5,3),(6,4),(7,5),(8,7)],9)
[[],[],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[],[]]=>[[],[[[[]],[[[]]]]]]=>([(0,7),(1,5),(2,6),(3,8),(4,7),(5,8),(6,3),(8,4)],9)
[[],[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[],[]]=>[[],[[[],[],[[[]]]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(5,7),(6,8),(8,5)],9)
[[],[],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[],[]]=>[[[],[[[]],[[[]]]]]]=>([(0,8),(1,5),(2,6),(4,7),(5,7),(6,4),(7,8),(8,3)],9)
[[],[],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[],[]]=>[[[],[[],[],[[[]]]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(6,8),(7,5),(8,7)],9)
[[],[],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[],[]]=>[[[]],[[[]],[[[]]]]]=>([(0,4),(1,5),(2,6),(3,7),(4,8),(5,7),(6,3),(7,8)],9)
[[],[],[[],[]],[[[]]]]=>[[[[]]],[[],[]],[],[]]=>[[],[],[[[]],[[[]]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,7),(6,7),(7,8)],9)
[[],[],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[],[]]=>[[[]],[[],[],[[[]]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,7),(6,8),(8,7)],9)
[[],[],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[],[]]=>[[],[],[[],[],[[[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[],[],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[],[]]=>[[[[[[]]],[[[]]]]]]=>([(0,7),(1,6),(3,8),(4,8),(5,2),(6,3),(7,4),(8,5)],9)
[[],[],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[],[]]=>[[[[],[[]],[[[]]]]]]=>([(0,8),(1,7),(2,5),(4,8),(5,8),(6,3),(7,4),(8,6)],9)
[[],[],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[],[]]=>[[[[[],[]],[[[]]]]]]=>([(0,8),(1,8),(2,5),(4,7),(5,4),(6,3),(7,6),(8,7)],9)
[[],[],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[],[]]=>[[[[[]],[],[[[]]]]]]=>([(0,8),(1,7),(2,5),(4,8),(5,8),(6,3),(7,4),(8,6)],9)
[[],[],[[[[]]]],[],[]]=>[[],[],[[[[]]]],[],[]]=>[[[[],[],[],[[[]]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,7),(5,6),(7,8),(8,5)],9)
[[],[],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[],[]]=>[[],[[[[]]],[[[]]]]]=>([(0,8),(1,6),(2,5),(3,7),(4,7),(5,3),(6,4),(7,8)],9)
[[],[],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[],[]]=>[[],[[],[[]],[[[]]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(8,7)],9)
[[],[],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[],[]]=>[[],[[[],[]],[[[]]]]]=>([(0,6),(1,6),(2,7),(3,4),(4,5),(5,8),(6,8),(8,7)],9)
[[],[],[[[],[]]],[[]]]=>[[[]],[[[],[]]],[],[]]=>[[],[[[]],[],[[[]]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(8,7)],9)
[[],[],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[],[]]=>[[],[[],[],[],[[[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,8),(8,7)],9)
[[],[],[[],[],[],[]],[]]=>[[],[[],[],[],[]],[],[]]=>[[[[[[]]]],[[[]]]]]=>([(0,6),(1,7),(2,8),(3,8),(5,2),(6,3),(7,5),(8,4)],9)
[[],[],[[],[],[[]]],[]]=>[[],[[[]],[],[]],[],[]]=>[[[],[[[]]],[[[]]]]]=>([(0,8),(1,7),(2,6),(3,8),(4,8),(6,3),(7,4),(8,5)],9)
[[],[],[[],[[]],[]],[]]=>[[],[[],[[]],[]],[],[]]=>[[[[],[[]]],[[[]]]]]=>([(0,7),(1,5),(2,6),(4,8),(5,7),(6,4),(7,8),(8,3)],9)
[[],[],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[],[]]=>[[[[]],[[]],[[[]]]]]=>([(0,6),(1,5),(2,7),(3,8),(5,8),(6,8),(7,3),(8,4)],9)
[[],[],[[],[[[]]]],[]]=>[[],[[[[]]],[]],[],[]]=>[[[],[],[[]],[[[]]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,7),(5,8),(7,8),(8,6)],9)
[[],[],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[],[]]=>[[[[[],[]]],[[[]]]]]=>([(0,8),(1,8),(2,6),(3,7),(4,7),(6,4),(7,5),(8,3)],9)
[[],[],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[],[]]=>[[[],[[],[]],[[[]]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,6),(6,8),(7,8),(8,5)],9)
[[],[],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[],[]]=>[[[[[]],[]],[[[]]]]]=>([(0,7),(1,5),(2,6),(4,8),(5,7),(6,4),(7,8),(8,3)],9)
[[],[],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[],[]]=>[[[[],[],[]],[[[]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(6,7),(7,5),(8,7)],9)
[[],[],[[[],[],[]]],[]]=>[[],[[[],[],[]]],[],[]]=>[[[[[]]],[],[[[]]]]]=>([(0,8),(1,7),(2,6),(3,8),(4,8),(6,3),(7,4),(8,5)],9)
[[],[],[[[],[[]]]],[]]=>[[],[[[[]],[]]],[],[]]=>[[[],[[]],[],[[[]]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,7),(5,8),(7,8),(8,6)],9)
[[],[],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[],[]]=>[[[[],[]],[],[[[]]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,6),(6,8),(7,8),(8,5)],9)
[[],[],[[[[],[]]]],[]]=>[[],[[[[],[]]]],[],[]]=>[[[[]],[],[],[[[]]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,7),(5,8),(7,8),(8,6)],9)
[[],[],[[[[[]]]]],[]]=>[[],[[[[[]]]]],[],[]]=>[[[],[],[],[],[[[]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(7,8),(8,6)],9)
[[],[],[[],[],[],[],[]]]=>[[[],[],[],[],[]],[],[]]=>[[[[[[]]]]],[[[]]]]=>([(0,7),(1,6),(2,8),(3,8),(4,5),(5,3),(6,4),(7,2)],9)
[[],[],[[],[],[],[[]]]]=>[[[[]],[],[],[]],[],[]]=>[[],[[[[]]]],[[[]]]]=>([(0,8),(1,6),(2,7),(3,8),(4,8),(5,4),(6,5),(7,3)],9)
[[],[],[[],[],[[]],[]]]=>[[[],[[]],[],[]],[],[]]=>[[[],[[[]]]],[[[]]]]=>([(0,7),(1,5),(2,6),(3,8),(4,7),(5,3),(6,4),(7,8)],9)
[[],[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[],[]]=>[[[]],[[[]]],[[[]]]]=>([(0,5),(1,7),(2,6),(3,8),(4,8),(5,8),(6,3),(7,4)],9)
[[],[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[],[]]=>[[],[],[[[]]],[[[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[[],[],[[],[[]],[],[]]]=>[[[],[],[[]],[]],[],[]]=>[[[[],[[]]]],[[[]]]]=>([(0,8),(1,5),(2,6),(3,7),(4,7),(5,8),(6,4),(8,3)],9)
[[],[],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[],[]]=>[[],[[],[[]]],[[[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[],[],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[],[]]=>[[[[]],[[]]],[[[]]]]=>([(0,5),(1,4),(2,6),(3,8),(4,7),(5,7),(6,3),(7,8)],9)
[[],[],[[],[[[]]],[]]]=>[[[],[[[]]],[]],[],[]]=>[[[],[],[[]]],[[[]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(8,7)],9)
[[],[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[],[]]=>[[[[]]],[[]],[[[]]]]=>([(0,5),(1,7),(2,6),(3,8),(4,8),(5,8),(6,3),(7,4)],9)
[[],[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[],[]]=>[[],[[]],[[]],[[[]]]]=>([(0,8),(1,6),(2,5),(3,4),(4,7),(5,8),(6,8),(7,8)],9)
[[],[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[],[]]=>[[[],[]],[[]],[[[]]]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(7,8)],9)
[[],[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[],[]]=>[[[]],[],[[]],[[[]]]]=>([(0,8),(1,6),(2,5),(3,4),(4,7),(5,8),(6,8),(7,8)],9)
[[],[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[],[]]=>[[],[],[],[[]],[[[]]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[],[],[[[]],[],[],[]]]=>[[[],[],[],[[]]],[],[]]=>[[[[[],[]]]],[[[]]]]=>([(0,8),(1,8),(2,6),(3,7),(4,7),(5,4),(6,3),(8,5)],9)
[[],[],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[],[]]=>[[],[[[],[]]],[[[]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,6),(5,8),(6,8),(7,5)],9)
[[],[],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[],[]]=>[[[],[[],[]]],[[[]]]]=>([(0,6),(1,6),(2,8),(3,4),(4,5),(5,7),(6,8),(8,7)],9)
[[],[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[],[]]=>[[[]],[[],[]],[[[]]]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(7,8)],9)
[[],[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[],[]]=>[[],[],[[],[]],[[[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[],[],[[[],[]],[],[]]]=>[[[],[],[[],[]]],[],[]]=>[[[[[]],[]]],[[[]]]]=>([(0,8),(1,5),(2,6),(3,7),(4,7),(5,8),(6,4),(8,3)],9)
[[],[],[[[[]]],[],[]]]=>[[[],[],[[[]]]],[],[]]=>[[[[],[],[]]],[[[]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(6,7),(8,5)],9)
[[],[],[[[],[]],[[]]]]=>[[[[]],[[],[]]],[],[]]=>[[],[[[]],[]],[[[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[],[],[[[[]]],[[]]]]=>[[[[]],[[[]]]],[],[]]=>[[],[[],[],[]],[[[]]]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[],[],[[[],[],[]],[]]]=>[[[],[[],[],[]]],[],[]]=>[[[[[]]],[]],[[[]]]]=>([(0,7),(1,5),(2,6),(3,8),(4,7),(5,3),(6,4),(7,8)],9)
[[],[],[[[],[[]]],[]]]=>[[[],[[[]],[]]],[],[]]=>[[[],[[]],[]],[[[]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(8,7)],9)
[[],[],[[[[]],[]],[]]]=>[[[],[[],[[]]]],[],[]]=>[[[[],[]],[]],[[[]]]]=>([(0,6),(1,6),(2,8),(3,4),(4,5),(5,7),(6,8),(8,7)],9)
[[],[],[[[[],[]]],[]]]=>[[[],[[[],[]]]],[],[]]=>[[[[]],[],[]],[[[]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(8,7)],9)
[[],[],[[[[[]]]],[]]]=>[[[],[[[[]]]]],[],[]]=>[[[],[],[],[]],[[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,6),(6,7),(8,7)],9)
[[],[],[[[],[],[],[]]]]=>[[[[],[],[],[]]],[],[]]=>[[[[[]]]],[],[[[]]]]=>([(0,8),(1,6),(2,7),(3,8),(4,8),(5,4),(6,5),(7,3)],9)
[[],[],[[[],[],[[]]]]]=>[[[[[]],[],[]]],[],[]]=>[[],[[[]]],[],[[[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[[],[],[[[],[[]],[]]]]=>[[[[],[[]],[]]],[],[]]=>[[[],[[]]],[],[[[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[],[],[[[],[[],[]]]]]=>[[[[[],[]],[]]],[],[]]=>[[[]],[[]],[],[[[]]]]=>([(0,8),(1,6),(2,5),(3,4),(4,7),(5,8),(6,8),(7,8)],9)
[[],[],[[[],[[[]]]]]]=>[[[[[[]]],[]]],[],[]]=>[[],[],[[]],[],[[[]]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[],[],[[[[]],[],[]]]]=>[[[[],[],[[]]]],[],[]]=>[[[[],[]]],[],[[[]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,6),(5,8),(6,8),(7,5)],9)
[[],[],[[[[]],[[]]]]]=>[[[[[]],[[]]]],[],[]]=>[[],[[],[]],[],[[[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[],[],[[[[],[]],[]]]]=>[[[[],[[],[]]]],[],[]]=>[[[[]],[]],[],[[[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[],[],[[[[[]]],[]]]]=>[[[[],[[[]]]]],[],[]]=>[[[],[],[]],[],[[[]]]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[],[],[[[[],[],[]]]]]=>[[[[[],[],[]]]],[],[]]=>[[[[]]],[],[],[[[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[[],[],[[[[],[[]]]]]]=>[[[[[[]],[]]]],[],[]]=>[[],[[]],[],[],[[[]]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[],[],[[[[[]],[]]]]]=>[[[[[],[[]]]]],[],[]]=>[[[],[]],[],[],[[[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[],[],[[[[[],[]]]]]]=>[[[[[[],[]]]]],[],[]]=>[[[]],[],[],[],[[[]]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[],[],[[[[[[]]]]]]]=>[[[[[[[]]]]]],[],[]]=>[[],[],[],[],[],[[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[[],[[]],[],[],[],[],[]]=>[[],[],[],[],[],[[]],[]]=>[[[[[[[],[[]]]]]]]]=>([(0,8),(1,3),(3,8),(4,6),(5,4),(6,2),(7,5),(8,7)],9)
[[],[[]],[],[],[],[[]]]=>[[[]],[],[],[],[[]],[]]=>[[],[[[[[],[[]]]]]]]=>([(0,7),(1,8),(2,4),(3,7),(4,8),(5,3),(6,5),(8,6)],9)
[[],[[]],[],[],[[]],[]]=>[[],[[]],[],[],[[]],[]]=>[[[],[[[[],[[]]]]]]]=>([(0,8),(1,7),(2,5),(4,8),(5,7),(6,4),(7,6),(8,3)],9)
[[],[[]],[],[],[[],[]]]=>[[[],[]],[],[],[[]],[]]=>[[[]],[[[[],[[]]]]]]=>([(0,8),(1,4),(2,5),(3,7),(4,7),(5,8),(6,3),(8,6)],9)
[[],[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]],[]]=>[[],[],[[[[],[[]]]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,7),(5,6),(6,8),(7,5)],9)
[[],[[]],[],[[]],[],[]]=>[[],[],[[]],[],[[]],[]]=>[[[[],[[[],[[]]]]]]]=>([(0,8),(1,7),(2,4),(4,8),(5,7),(6,3),(7,6),(8,5)],9)
[[],[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]],[]]=>[[],[[],[[[],[[]]]]]]=>([(0,8),(1,6),(2,7),(3,4),(4,8),(5,7),(7,6),(8,5)],9)
[[],[[]],[],[[],[]],[]]=>[[],[[],[]],[],[[]],[]]=>[[[[]],[[[],[[]]]]]]=>([(0,8),(1,5),(2,6),(4,7),(5,7),(6,8),(7,3),(8,4)],9)
[[],[[]],[],[[[]]],[]]=>[[],[[[]]],[],[[]],[]]=>[[[],[],[[[],[[]]]]]]=>([(0,8),(1,8),(2,7),(3,5),(5,7),(6,8),(7,6),(8,4)],9)
[[],[[]],[],[[],[],[]]]=>[[[],[],[]],[],[[]],[]]=>[[[[]]],[[[],[[]]]]]=>([(0,8),(1,5),(2,6),(3,7),(4,7),(5,8),(6,4),(8,3)],9)
[[],[[]],[],[[],[[]]]]=>[[[[]],[]],[],[[]],[]]=>[[],[[]],[[[],[[]]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,8),(5,7),(6,8),(7,6)],9)
[[],[[]],[],[[[]],[]]]=>[[[],[[]]],[],[[]],[]]=>[[[],[]],[[[],[[]]]]]=>([(0,8),(1,6),(2,6),(3,4),(4,8),(5,7),(6,7),(8,5)],9)
[[],[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]],[]]=>[[[]],[],[[[],[[]]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,8),(5,7),(6,8),(7,6)],9)
[[],[[]],[],[[[[]]]]]=>[[[[[]]]],[],[[]],[]]=>[[],[],[],[[[],[[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,8),(7,6)],9)
[[],[[]],[[]],[],[],[]]=>[[],[],[],[[]],[[]],[]]=>[[[[[],[[],[[]]]]]]]=>([(0,8),(1,7),(2,4),(4,7),(5,3),(6,5),(7,8),(8,6)],9)
[[],[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]],[]]=>[[],[[[],[[],[[]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(4,8),(5,7),(6,5),(8,6)],9)
[[],[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]],[]]=>[[[],[[],[[],[[]]]]]]=>([(0,7),(1,8),(2,6),(3,5),(5,8),(6,7),(7,4),(8,6)],9)
[[],[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]],[]]=>[[[]],[[],[[],[[]]]]]=>([(0,6),(1,7),(2,4),(3,5),(4,7),(5,8),(6,8),(7,6)],9)
[[],[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]],[]]=>[[],[],[[],[[],[[]]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(6,8),(7,6)],9)
[[],[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]],[]]=>[[[[[]],[[],[[]]]]]]=>([(0,7),(1,4),(2,5),(4,8),(5,7),(6,3),(7,8),(8,6)],9)
[[],[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]],[]]=>[[[[],[],[[],[[]]]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,7),(7,8),(8,4)],9)
[[],[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]],[]]=>[[],[[[]],[[],[[]]]]]=>([(0,6),(1,7),(2,4),(3,5),(4,8),(5,7),(7,8),(8,6)],9)
[[],[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]],[]]=>[[],[[],[],[[],[[]]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(7,8),(8,6)],9)
[[],[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]],[]]=>[[[[[]]],[[],[[]]]]]=>([(0,7),(1,5),(2,6),(4,8),(5,7),(6,4),(7,8),(8,3)],9)
[[],[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]],[]]=>[[[],[[]],[[],[[]]]]]=>([(0,8),(1,7),(2,4),(3,6),(4,8),(6,7),(7,8),(8,5)],9)
[[],[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]],[]]=>[[[[],[]],[[],[[]]]]]=>([(0,8),(1,6),(2,6),(3,5),(5,8),(6,7),(7,4),(8,7)],9)
[[],[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]],[]]=>[[[[]],[],[[],[[]]]]]=>([(0,8),(1,7),(2,4),(3,6),(4,8),(6,7),(7,8),(8,5)],9)
[[],[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]],[]]=>[[[],[],[],[[],[[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(6,7),(7,8),(8,5)],9)
[[],[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]],[]]=>[[[[[]]]],[[],[[]]]]=>([(0,7),(1,6),(2,4),(3,8),(4,7),(5,3),(6,5),(7,8)],9)
[[],[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]],[]]=>[[],[[[]]],[[],[[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[],[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]],[]]=>[[[],[[]]],[[],[[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(7,6),(8,6)],9)
[[],[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]],[]]=>[[[]],[[]],[[],[[]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[[],[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]],[]]=>[[],[],[[]],[[],[[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]],[]]=>[[[[],[]]],[[],[[]]]]=>([(0,6),(1,6),(2,7),(3,5),(4,8),(5,7),(6,4),(7,8)],9)
[[],[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]],[]]=>[[],[[],[]],[[],[[]]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[[],[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]],[]]=>[[[[]],[]],[[],[[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(7,6),(8,6)],9)
[[],[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]],[]]=>[[[],[],[]],[[],[[]]]]=>([(0,7),(1,8),(2,8),(3,8),(4,5),(5,7),(7,6),(8,6)],9)
[[],[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]],[]]=>[[[[]]],[],[[],[[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[],[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]],[]]=>[[],[[]],[],[[],[[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]],[]]=>[[[],[]],[],[[],[[]]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[[],[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]],[]]=>[[[]],[],[],[[],[[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]],[]]=>[[],[],[],[],[[],[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[[],[[],[]],[],[],[],[]]=>[[],[],[],[],[[],[]],[]]=>[[[[[[[]],[[]]]]]]]=>([(0,4),(1,3),(3,8),(4,8),(5,6),(6,2),(7,5),(8,7)],9)
[[],[[[]]],[],[],[],[]]=>[[],[],[],[],[[[]]],[]]=>[[[[[[],[],[[]]]]]]]=>([(0,8),(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[[],[[],[]],[],[],[[]]]=>[[[]],[],[],[[],[]],[]]=>[[],[[[[[]],[[]]]]]]=>([(0,8),(1,5),(2,4),(3,8),(4,7),(5,7),(6,3),(7,6)],9)
[[],[[[]]],[],[],[[]]]=>[[[]],[],[],[[[]]],[]]=>[[],[[[[],[],[[]]]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,6),(6,7),(8,5)],9)
[[],[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]],[]]=>[[[],[[[[]],[[]]]]]]=>([(0,8),(1,6),(2,5),(4,8),(5,7),(6,7),(7,4),(8,3)],9)
[[],[[[]]],[],[[]],[]]=>[[],[[]],[],[[[]]],[]]=>[[[],[[[],[],[[]]]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,7),(7,6),(8,5)],9)
[[],[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]],[]]=>[[[]],[[[[]],[[]]]]]=>([(0,5),(1,4),(2,6),(3,7),(4,8),(5,8),(6,7),(8,3)],9)
[[],[[],[]],[],[[[]]]]=>[[[[]]],[],[[],[]],[]]=>[[],[],[[[[]],[[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,7),(5,7),(6,8),(7,6)],9)
[[],[[[]]],[],[[],[]]]=>[[[],[]],[],[[[]]],[]]=>[[[]],[[[],[],[[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(8,6)],9)
[[],[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]],[]]=>[[],[],[[[],[],[[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[],[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]],[]]=>[[[[],[[[]],[[]]]]]]=>([(0,8),(1,5),(2,4),(4,7),(5,7),(6,3),(7,8),(8,6)],9)
[[],[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]],[]]=>[[[[],[[],[],[[]]]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,6),(7,5),(8,7)],9)
[[],[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]],[]]=>[[],[[],[[[]],[[]]]]]=>([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[],[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]],[]]=>[[],[[],[[],[],[[]]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(8,6)],9)
[[],[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]],[]]=>[[[[]],[[[]],[[]]]]]=>([(0,6),(1,5),(2,4),(4,8),(5,7),(6,7),(7,8),(8,3)],9)
[[],[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]],[]]=>[[[],[],[[[]],[[]]]]]=>([(0,8),(1,8),(2,6),(3,5),(5,7),(6,7),(7,8),(8,4)],9)
[[],[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]],[]]=>[[[[]],[[],[],[[]]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,8),(5,7),(7,6),(8,7)],9)
[[],[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]],[]]=>[[[],[],[[],[],[[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[],[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]],[]]=>[[[[]]],[[[]],[[]]]]=>([(0,5),(1,4),(2,6),(3,8),(4,7),(5,7),(6,3),(7,8)],9)
[[],[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]],[]]=>[[],[[]],[[[]],[[]]]]=>([(0,8),(1,6),(2,5),(3,4),(4,8),(5,7),(6,7),(7,8)],9)
[[],[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]],[]]=>[[[],[]],[[[]],[[]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,8),(5,8),(6,7),(8,7)],9)
[[],[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]],[]]=>[[[]],[],[[[]],[[]]]]=>([(0,8),(1,6),(2,5),(3,4),(4,8),(5,7),(6,7),(7,8)],9)
[[],[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]],[]]=>[[],[],[],[[[]],[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[[],[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]],[]]=>[[[[]]],[[],[],[[]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(8,7)],9)
[[],[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]],[]]=>[[],[[]],[[],[],[[]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]],[]]=>[[[],[]],[[],[],[[]]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(8,7)],9)
[[],[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]],[]]=>[[[]],[],[[],[],[[]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]],[]]=>[[],[],[],[[],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(7,8)],9)
[[],[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]],[]]=>[[[[[[[]]],[[]]]]]]=>([(0,7),(1,4),(3,8),(4,8),(5,2),(6,5),(7,3),(8,6)],9)
[[],[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]],[]]=>[[[[[],[[]],[[]]]]]]=>([(0,8),(1,5),(2,4),(4,8),(5,8),(6,3),(7,6),(8,7)],9)
[[],[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]],[]]=>[[[[[[],[]],[[]]]]]]=>([(0,8),(1,8),(2,4),(4,7),(5,3),(6,5),(7,6),(8,7)],9)
[[],[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]],[]]=>[[[[[[]],[],[[]]]]]]=>([(0,8),(1,5),(2,4),(4,8),(5,8),(6,3),(7,6),(8,7)],9)
[[],[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]],[]]=>[[[[[],[],[],[[]]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,8),(5,6),(6,7),(8,5)],9)
[[],[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]],[]]=>[[],[[[[[]]],[[]]]]]=>([(0,7),(1,5),(2,6),(3,8),(4,7),(5,8),(6,3),(8,4)],9)
[[],[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]],[]]=>[[],[[[],[[]],[[]]]]]=>([(0,8),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[],[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]],[]]=>[[],[[[[],[]],[[]]]]]=>([(0,6),(1,6),(2,7),(3,4),(4,8),(5,7),(6,8),(8,5)],9)
[[],[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]],[]]=>[[],[[[[]],[],[[]]]]]=>([(0,8),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[],[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]],[]]=>[[],[[[],[],[],[[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[],[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]],[]]=>[[[],[[[[]]],[[]]]]]=>([(0,8),(1,5),(2,6),(4,7),(5,7),(6,4),(7,8),(8,3)],9)
[[],[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]],[]]=>[[[],[[],[[]],[[]]]]]=>([(0,8),(1,7),(2,5),(3,4),(4,8),(5,8),(7,6),(8,7)],9)
[[],[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]],[]]=>[[[],[[[],[]],[[]]]]]=>([(0,7),(1,6),(2,6),(3,5),(5,8),(6,8),(7,4),(8,7)],9)
[[],[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]],[]]=>[[[],[[[]],[],[[]]]]]=>([(0,8),(1,7),(2,5),(3,4),(4,8),(5,8),(7,6),(8,7)],9)
[[],[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]],[]]=>[[[],[[],[],[],[[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[],[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]],[]]=>[[[]],[[[[]]],[[]]]]=>([(0,4),(1,5),(2,6),(3,7),(4,8),(5,7),(6,3),(7,8)],9)
[[],[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]],[]]=>[[],[],[[[[]]],[[]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,7),(6,7),(7,8)],9)
[[],[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]],[]]=>[[[]],[[],[[]],[[]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(8,7)],9)
[[],[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]],[]]=>[[],[],[[],[[]],[[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[],[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]],[]]=>[[[]],[[[],[]],[[]]]]=>([(0,6),(1,6),(2,4),(3,5),(4,8),(5,7),(6,7),(7,8)],9)
[[],[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]],[]]=>[[],[],[[[],[]],[[]]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[[],[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]],[]]=>[[[]],[[[]],[],[[]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(8,7)],9)
[[],[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]],[]]=>[[],[],[[[]],[],[[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[],[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]],[]]=>[[[]],[[],[],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,8),(6,7),(8,7)],9)
[[],[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]],[]]=>[[],[],[[],[],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(8,7)],9)
[[],[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]],[]]=>[[[[[[[]]]],[[]]]]]=>([(0,7),(1,4),(3,8),(4,8),(5,3),(6,2),(7,5),(8,6)],9)
[[],[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]],[]]=>[[[[],[[[]]],[[]]]]]=>([(0,8),(1,7),(2,5),(4,8),(5,8),(6,3),(7,4),(8,6)],9)
[[],[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]],[]]=>[[[[[],[[]]],[[]]]]]=>([(0,7),(1,4),(2,5),(4,8),(5,7),(6,3),(7,8),(8,6)],9)
[[],[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]],[]]=>[[[[[]],[[]],[[]]]]]=>([(0,6),(1,5),(2,4),(4,8),(5,8),(6,8),(7,3),(8,7)],9)
[[],[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]],[]]=>[[[[],[],[[]],[[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[],[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]],[]]=>[[[[[[],[]]],[[]]]]]=>([(0,8),(1,8),(2,5),(4,7),(5,7),(6,3),(7,6),(8,4)],9)
[[],[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]],[]]=>[[[[],[[],[]],[[]]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(5,6),(7,8),(8,5)],9)
[[],[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]],[]]=>[[[[[[]],[]],[[]]]]]=>([(0,7),(1,4),(2,5),(4,8),(5,7),(6,3),(7,8),(8,6)],9)
[[],[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]],[]]=>[[[[[],[],[]],[[]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,7),(5,6),(7,5),(8,7)],9)
[[],[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]],[]]=>[[[[[[]]],[],[[]]]]]=>([(0,8),(1,7),(2,5),(4,8),(5,8),(6,3),(7,4),(8,6)],9)
[[],[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]],[]]=>[[[[],[[]],[],[[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[],[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]],[]]=>[[[[[],[]],[],[[]]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(5,6),(7,8),(8,5)],9)
[[],[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]],[]]=>[[[[[]],[],[],[[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[],[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]],[]]=>[[[[],[],[],[],[[]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,8),(6,7),(8,6)],9)
[[],[[],[],[],[]],[[]]]=>[[[]],[[],[],[],[]],[]]=>[[],[[[[[]]]],[[]]]]=>([(0,8),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5),(7,8)],9)
[[],[[],[],[[]]],[[]]]=>[[[]],[[[]],[],[]],[]]=>[[],[[],[[[]]],[[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(8,7)],9)
[[],[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]],[]]=>[[],[[[],[[]]],[[]]]]=>([(0,6),(1,7),(2,4),(3,5),(4,8),(5,7),(7,8),(8,6)],9)
[[],[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]],[]]=>[[],[[[]],[[]],[[]]]]=>([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(8,7)],9)
[[],[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]],[]]=>[[],[[],[],[[]],[[]]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[],[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]],[]]=>[[],[[[[],[]]],[[]]]]=>([(0,7),(1,7),(2,6),(3,5),(4,8),(5,8),(7,4),(8,6)],9)
[[],[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]],[]]=>[[],[[],[[],[]],[[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,8),(8,7)],9)
[[],[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]],[]]=>[[],[[[[]],[]],[[]]]]=>([(0,6),(1,7),(2,4),(3,5),(4,8),(5,7),(7,8),(8,6)],9)
[[],[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]],[]]=>[[],[[[],[],[]],[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(7,6),(8,7)],9)
[[],[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]],[]]=>[[],[[[[]]],[],[[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(8,7)],9)
[[],[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]],[]]=>[[],[[],[[]],[],[[]]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[],[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]],[]]=>[[],[[[],[]],[],[[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,8),(8,7)],9)
[[],[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]],[]]=>[[],[[[]],[],[],[[]]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[],[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]],[]]=>[[],[[],[],[],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(8,7)],9)
[[],[[],[],[],[],[]],[]]=>[[],[[],[],[],[],[]],[]]=>[[[[[[[]]]]],[[]]]]=>([(0,7),(1,4),(2,8),(4,8),(5,6),(6,2),(7,5),(8,3)],9)
[[],[[],[],[],[[]]],[]]=>[[],[[[]],[],[],[]],[]]=>[[[],[[[[]]]],[[]]]]=>([(0,8),(1,7),(2,5),(3,8),(5,8),(6,3),(7,6),(8,4)],9)
[[],[[],[],[[]],[]],[]]=>[[],[[],[[]],[],[]],[]]=>[[[[],[[[]]]],[[]]]]=>([(0,7),(1,5),(2,6),(4,7),(5,8),(6,4),(7,8),(8,3)],9)
[[],[[],[],[[],[]]],[]]=>[[],[[[],[]],[],[]],[]]=>[[[[]],[[[]]],[[]]]]=>([(0,6),(1,5),(2,7),(3,8),(5,8),(6,8),(7,3),(8,4)],9)
[[],[[],[],[[[]]]],[]]=>[[],[[[[]]],[],[]],[]]=>[[[],[],[[[]]],[[]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,7),(5,8),(7,8),(8,6)],9)
[[],[[],[[]],[],[]],[]]=>[[],[[],[],[[]],[]],[]]=>[[[[[],[[]]]],[[]]]]=>([(0,8),(1,5),(2,6),(4,7),(5,7),(6,8),(7,3),(8,4)],9)
[[],[[],[[]],[[]]],[]]=>[[],[[[]],[[]],[]],[]]=>[[[],[[],[[]]],[[]]]]=>([(0,8),(1,7),(2,4),(3,6),(4,8),(6,7),(7,8),(8,5)],9)
[[],[[],[[],[]],[]],[]]=>[[],[[],[[],[]],[]],[]]=>[[[[[]],[[]]],[[]]]]=>([(0,6),(1,5),(2,4),(4,8),(5,7),(6,7),(7,8),(8,3)],9)
[[],[[],[[[]]],[]],[]]=>[[],[[],[[[]]],[]],[]]=>[[[[],[],[[]]],[[]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,8),(5,7),(7,6),(8,7)],9)
[[],[[],[[],[],[]]],[]]=>[[],[[[],[],[]],[]],[]]=>[[[[[]]],[[]],[[]]]]=>([(0,6),(1,5),(2,7),(3,8),(5,8),(6,8),(7,3),(8,4)],9)
[[],[[],[[],[[]]]],[]]=>[[],[[[[]],[]],[]],[]]=>[[[],[[]],[[]],[[]]]]=>([(0,8),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(8,7)],9)
[[],[[],[[[]],[]]],[]]=>[[],[[[],[[]]],[]],[]]=>[[[[],[]],[[]],[[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(7,8),(8,6)],9)
[[],[[],[[[],[]]]],[]]=>[[],[[[[],[]]],[]],[]]=>[[[[]],[],[[]],[[]]]]=>([(0,8),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(8,7)],9)
[[],[[],[[[[]]]]],[]]=>[[],[[[[[]]]],[]],[]]=>[[[],[],[],[[]],[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[],[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]],[]]=>[[[[[[],[]]]],[[]]]]=>([(0,7),(1,7),(2,5),(4,8),(5,8),(6,4),(7,6),(8,3)],9)
[[],[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]],[]]=>[[[],[[[],[]]],[[]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(6,8),(7,6),(8,5)],9)
[[],[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]],[]]=>[[[[],[[],[]]],[[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,8),(6,7),(7,8),(8,5)],9)
[[],[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]],[]]=>[[[[]],[[],[]],[[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(7,8),(8,6)],9)
[[],[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]],[]]=>[[[],[],[[],[]],[[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[],[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]],[]]=>[[[[[[]],[]]],[[]]]]=>([(0,8),(1,5),(2,6),(4,7),(5,7),(6,8),(7,3),(8,4)],9)
[[],[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]],[]]=>[[[[[],[],[]]],[[]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,7),(5,7),(7,6),(8,5)],9)
[[],[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]],[]]=>[[[],[[[]],[]],[[]]]]=>([(0,8),(1,7),(2,4),(3,6),(4,8),(6,7),(7,8),(8,5)],9)
[[],[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]],[]]=>[[[],[[],[],[]],[[]]]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[],[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]],[]]=>[[[[[[]]],[]],[[]]]]=>([(0,7),(1,5),(2,6),(4,7),(5,8),(6,4),(7,8),(8,3)],9)
[[],[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]],[]]=>[[[[],[[]],[]],[[]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,8),(5,7),(7,6),(8,7)],9)
[[],[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]],[]]=>[[[[[],[]],[]],[[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,8),(6,7),(7,8),(8,5)],9)
[[],[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]],[]]=>[[[[[]],[],[]],[[]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,8),(5,7),(7,6),(8,7)],9)
[[],[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]],[]]=>[[[[],[],[],[]],[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(7,6),(8,7)],9)
[[],[[[],[],[],[]]],[]]=>[[],[[[],[],[],[]]],[]]=>[[[[[[]]]],[],[[]]]]=>([(0,8),(1,7),(2,5),(3,8),(5,8),(6,3),(7,6),(8,4)],9)
[[],[[[],[],[[]]]],[]]=>[[],[[[[]],[],[]]],[]]=>[[[],[[[]]],[],[[]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,7),(5,8),(7,8),(8,6)],9)
[[],[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]],[]]=>[[[[],[[]]],[],[[]]]]=>([(0,8),(1,7),(2,4),(3,6),(4,8),(6,7),(7,8),(8,5)],9)
[[],[[[],[[],[]]]],[]]=>[[],[[[[],[]],[]]],[]]=>[[[[]],[[]],[],[[]]]]=>([(0,8),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(8,7)],9)
[[],[[[],[[[]]]]],[]]=>[[],[[[[[]]],[]]],[]]=>[[[],[],[[]],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[],[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]],[]]=>[[[[[],[]]],[],[[]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(6,8),(7,6),(8,5)],9)
[[],[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]],[]]=>[[[],[[],[]],[],[[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[],[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]],[]]=>[[[[[]],[]],[],[[]]]]=>([(0,8),(1,7),(2,4),(3,6),(4,8),(6,7),(7,8),(8,5)],9)
[[],[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]],[]]=>[[[[],[],[]],[],[[]]]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[],[[[[],[],[]]]],[]]=>[[],[[[[],[],[]]]],[]]=>[[[[[]]],[],[],[[]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,7),(5,8),(7,8),(8,6)],9)
[[],[[[[],[[]]]]],[]]=>[[],[[[[[]],[]]]],[]]=>[[[],[[]],[],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[],[[[[[]],[]]]],[]]=>[[],[[[[],[[]]]]],[]]=>[[[[],[]],[],[],[[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[],[[[[[],[]]]]],[]]=>[[],[[[[[],[]]]]],[]]=>[[[[]],[],[],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[],[[[[[[]]]]]],[]]=>[[],[[[[[[]]]]]],[]]=>[[[],[],[],[],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,8),(8,7)],9)
[[],[[],[],[],[],[],[]]]=>[[[],[],[],[],[],[]],[]]=>[[[[[[[]]]]]],[[]]]=>([(0,7),(1,3),(2,8),(3,8),(4,6),(5,4),(6,2),(7,5)],9)
[[],[[],[],[],[],[[]]]]=>[[[[]],[],[],[],[]],[]]=>[[],[[[[[]]]]],[[]]]=>([(0,8),(1,7),(2,4),(3,8),(4,8),(5,6),(6,3),(7,5)],9)
[[],[[],[],[],[[]],[]]]=>[[[],[[]],[],[],[]],[]]=>[[[],[[[[]]]]],[[]]]=>([(0,7),(1,6),(2,4),(3,7),(4,8),(5,3),(6,5),(7,8)],9)
[[],[[],[],[],[[],[]]]]=>[[[[],[]],[],[],[]],[]]=>[[[]],[[[[]]]],[[]]]=>([(0,5),(1,4),(2,7),(3,8),(4,8),(5,8),(6,3),(7,6)],9)
[[],[[],[],[],[[[]]]]]=>[[[[[]]],[],[],[]],[]]=>[[],[],[[[[]]]],[[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[],[],[[]],[],[]]]=>[[[],[],[[]],[],[]],[]]=>[[[[],[[[]]]]],[[]]]=>([(0,8),(1,5),(2,6),(3,8),(4,7),(5,7),(6,3),(8,4)],9)
[[],[[],[],[[]],[[]]]]=>[[[[]],[[]],[],[]],[]]=>[[],[[],[[[]]]],[[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[],[],[[],[]],[]]]=>[[[],[[],[]],[],[]],[]]=>[[[[]],[[[]]]],[[]]]=>([(0,4),(1,5),(2,6),(3,7),(4,8),(5,7),(6,3),(7,8)],9)
[[],[[],[],[[[]]],[]]]=>[[[],[[[]]],[],[]],[]]=>[[[],[],[[[]]]],[[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,7),(6,8),(8,7)],9)
[[],[[],[],[[],[],[]]]]=>[[[[],[],[]],[],[]],[]]=>[[[[]]],[[[]]],[[]]]=>([(0,5),(1,7),(2,6),(3,8),(4,8),(5,8),(6,3),(7,4)],9)
[[],[[],[],[[],[[]]]]]=>[[[[[]],[]],[],[]],[]]=>[[],[[]],[[[]]],[[]]]=>([(0,8),(1,6),(2,5),(3,4),(4,7),(5,8),(6,8),(7,8)],9)
[[],[[],[],[[[]],[]]]]=>[[[[],[[]]],[],[]],[]]=>[[[],[]],[[[]]],[[]]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(7,8)],9)
[[],[[],[],[[[],[]]]]]=>[[[[[],[]]],[],[]],[]]=>[[[]],[],[[[]]],[[]]]=>([(0,8),(1,6),(2,5),(3,4),(4,7),(5,8),(6,8),(7,8)],9)
[[],[[],[],[[[[]]]]]]=>[[[[[[]]]],[],[]],[]]=>[[],[],[],[[[]]],[[]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[],[[],[[]],[],[],[]]]=>[[[],[],[],[[]],[]],[]]=>[[[[[],[[]]]]],[[]]]=>([(0,8),(1,4),(2,5),(3,7),(4,7),(5,8),(6,3),(8,6)],9)
[[],[[],[[]],[],[[]]]]=>[[[[]],[],[[]],[]],[]]=>[[],[[[],[[]]]],[[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,8),(5,7),(6,8),(7,6)],9)
[[],[[],[[]],[[]],[]]]=>[[[],[[]],[[]],[]],[]]=>[[[],[[],[[]]]],[[]]]=>([(0,6),(1,7),(2,4),(3,5),(4,7),(5,8),(6,8),(7,6)],9)
[[],[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]],[]]=>[[[]],[[],[[]]],[[]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[[],[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]],[]]=>[[],[],[[],[[]]],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[],[[],[]],[],[]]]=>[[[],[],[[],[]],[]],[]]=>[[[[[]],[[]]]],[[]]]=>([(0,5),(1,4),(2,6),(3,7),(4,8),(5,8),(6,7),(8,3)],9)
[[],[[],[[[]]],[],[]]]=>[[[],[],[[[]]],[]],[]]=>[[[[],[],[[]]]],[[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(8,6)],9)
[[],[[],[[],[]],[[]]]]=>[[[[]],[[],[]],[]],[]]=>[[],[[[]],[[]]],[[]]]=>([(0,8),(1,6),(2,5),(3,4),(4,8),(5,7),(6,7),(7,8)],9)
[[],[[],[[[]]],[[]]]]=>[[[[]],[[[]]],[]],[]]=>[[],[[],[],[[]]],[[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[],[[],[],[]],[]]]=>[[[],[[],[],[]],[]],[]]=>[[[[[]]],[[]]],[[]]]=>([(0,4),(1,5),(2,6),(3,7),(4,8),(5,7),(6,3),(7,8)],9)
[[],[[],[[],[[]]],[]]]=>[[[],[[[]],[]],[]],[]]=>[[[],[[]],[[]]],[[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(8,7)],9)
[[],[[],[[[]],[]],[]]]=>[[[],[[],[[]]],[]],[]]=>[[[[],[]],[[]]],[[]]]=>([(0,6),(1,6),(2,4),(3,5),(4,8),(5,7),(6,7),(7,8)],9)
[[],[[],[[[],[]]],[]]]=>[[[],[[[],[]]],[]],[]]=>[[[[]],[],[[]]],[[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(8,7)],9)
[[],[[],[[[[]]]],[]]]=>[[[],[[[[]]]],[]],[]]=>[[[],[],[],[[]]],[[]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,8),(6,7),(8,7)],9)
[[],[[],[[],[],[],[]]]]=>[[[[],[],[],[]],[]],[]]=>[[[[[]]]],[[]],[[]]]=>([(0,5),(1,4),(2,7),(3,8),(4,8),(5,8),(6,3),(7,6)],9)
[[],[[],[[],[],[[]]]]]=>[[[[[]],[],[]],[]],[]]=>[[],[[[]]],[[]],[[]]]=>([(0,8),(1,6),(2,5),(3,4),(4,7),(5,8),(6,8),(7,8)],9)
[[],[[],[[],[[]],[]]]]=>[[[[],[[]],[]],[]],[]]=>[[[],[[]]],[[]],[[]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[[],[[],[[],[[],[]]]]]=>[[[[[],[]],[]],[]],[]]=>[[[]],[[]],[[]],[[]]]=>([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(7,8)],9)
[[],[[],[[],[[[]]]]]]=>[[[[[[]]],[]],[]],[]]=>[[],[],[[]],[[]],[[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[],[[],[[[]],[],[]]]]=>[[[[],[],[[]]],[]],[]]=>[[[[],[]]],[[]],[[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,8),(7,6)],9)
[[],[[],[[[]],[[]]]]]=>[[[[[]],[[]]],[]],[]]=>[[],[[],[]],[[]],[[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[],[[],[[[],[]],[]]]]=>[[[[],[[],[]]],[]],[]]=>[[[[]],[]],[[]],[[]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[[],[[],[[[[]]],[]]]]=>[[[[],[[[]]]],[]],[]]=>[[[],[],[]],[[]],[[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[],[[],[[[],[],[]]]]]=>[[[[[],[],[]]],[]],[]]=>[[[[]]],[],[[]],[[]]]=>([(0,8),(1,6),(2,5),(3,4),(4,7),(5,8),(6,8),(7,8)],9)
[[],[[],[[[],[[]]]]]]=>[[[[[[]],[]]],[]],[]]=>[[],[[]],[],[[]],[[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[],[[],[[[[]],[]]]]]=>[[[[[],[[]]]],[]],[]]=>[[[],[]],[],[[]],[[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[],[[],[[[[],[]]]]]]=>[[[[[[],[]]]],[]],[]]=>[[[]],[],[],[[]],[[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[],[[],[[[[[]]]]]]]=>[[[[[[[]]]]],[]],[]]=>[[],[],[],[],[[]],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[[],[[[]],[],[],[],[]]]=>[[[],[],[],[],[[]]],[]]=>[[[[[[],[]]]]],[[]]]=>([(0,8),(1,8),(2,4),(3,7),(4,7),(5,6),(6,3),(8,5)],9)
[[],[[[]],[],[],[[]]]]=>[[[[]],[],[],[[]]],[]]=>[[],[[[[],[]]]],[[]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(5,6),(6,8),(7,5)],9)
[[],[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]],[]]=>[[[],[[[],[]]]],[[]]]=>([(0,6),(1,6),(2,7),(3,4),(4,8),(5,7),(6,5),(7,8)],9)
[[],[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]],[]]=>[[[]],[[[],[]]],[[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,8),(7,6)],9)
[[],[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]],[]]=>[[],[],[[[],[]]],[[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[],[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]],[]]=>[[[[],[[],[]]]],[[]]]=>([(0,7),(1,6),(2,6),(3,5),(4,8),(5,8),(6,7),(7,4)],9)
[[],[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]],[]]=>[[],[[],[[],[]]],[[]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[[],[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]],[]]=>[[[[]],[[],[]]],[[]]]=>([(0,6),(1,6),(2,4),(3,5),(4,8),(5,7),(6,7),(7,8)],9)
[[],[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]],[]]=>[[[],[],[[],[]]],[[]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(8,7)],9)
[[],[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]],[]]=>[[[[]]],[[],[]],[[]]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(7,8)],9)
[[],[[[]],[[],[[]]]]]=>[[[[[]],[]],[[]]],[]]=>[[],[[]],[[],[]],[[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[],[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]],[]]=>[[[],[]],[[],[]],[[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[],[[[]],[[[],[]]]]]=>[[[[[],[]]],[[]]],[]]=>[[[]],[],[[],[]],[[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[],[[[]],[[[[]]]]]]=>[[[[[[]]]],[[]]],[]]=>[[],[],[],[[],[]],[[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[],[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]],[]]=>[[[[[[]],[]]]],[[]]]=>([(0,8),(1,4),(2,5),(3,7),(4,7),(5,8),(6,3),(8,6)],9)
[[],[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]],[]]=>[[[[[],[],[]]]],[[]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,7),(8,4)],9)
[[],[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]],[]]=>[[],[[[[]],[]]],[[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,8),(5,7),(6,8),(7,6)],9)
[[],[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]],[]]=>[[],[[[],[],[]]],[[]]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[],[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]],[]]=>[[[],[[[]],[]]],[[]]]=>([(0,6),(1,7),(2,4),(3,5),(4,7),(5,8),(6,8),(7,6)],9)
[[],[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]],[]]=>[[[],[[],[],[]]],[[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(8,6)],9)
[[],[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]],[]]=>[[[]],[[[]],[]],[[]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[[],[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]],[]]=>[[],[],[[[]],[]],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]],[]]=>[[[]],[[],[],[]],[[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[],[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]],[]]=>[[],[],[[],[],[]],[[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[],[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]],[]]=>[[[[[[]]],[]]],[[]]]=>([(0,8),(1,5),(2,6),(3,8),(4,7),(5,7),(6,3),(8,4)],9)
[[],[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]],[]]=>[[[[],[[]],[]]],[[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(8,6)],9)
[[],[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]],[]]=>[[[[[],[]],[]]],[[]]]=>([(0,7),(1,6),(2,6),(3,5),(4,8),(5,8),(6,7),(7,4)],9)
[[],[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]],[]]=>[[[[[]],[],[]]],[[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(8,6)],9)
[[],[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]],[]]=>[[[[],[],[],[]]],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(8,6)],9)
[[],[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]],[]]=>[[],[[[[]]],[]],[[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]],[]]=>[[],[[],[[]],[]],[[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]],[]]=>[[],[[[],[]],[]],[[]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[[],[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]],[]]=>[[],[[[]],[],[]],[[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]],[]]=>[[],[[],[],[],[]],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(8,7)],9)
[[],[[[],[],[],[]],[]]]=>[[[],[[],[],[],[]]],[]]=>[[[[[[]]]],[]],[[]]]=>([(0,7),(1,6),(2,4),(3,7),(4,8),(5,3),(6,5),(7,8)],9)
[[],[[[],[],[[]]],[]]]=>[[[],[[[]],[],[]]],[]]=>[[[],[[[]]],[]],[[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,7),(6,8),(8,7)],9)
[[],[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]],[]]=>[[[[],[[]]],[]],[[]]]=>([(0,6),(1,7),(2,4),(3,5),(4,7),(5,8),(6,8),(7,6)],9)
[[],[[[],[[],[]]],[]]]=>[[[],[[[],[]],[]]],[]]=>[[[[]],[[]],[]],[[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(8,7)],9)
[[],[[[],[[[]]]],[]]]=>[[[],[[[[]]],[]]],[]]=>[[[],[],[[]],[]],[[]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,8),(6,7),(8,7)],9)
[[],[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]],[]]=>[[[[[],[]]],[]],[[]]]=>([(0,6),(1,6),(2,7),(3,4),(4,8),(5,7),(6,5),(7,8)],9)
[[],[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]],[]]=>[[[],[[],[]],[]],[[]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(8,7)],9)
[[],[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]],[]]=>[[[[[]],[]],[]],[[]]]=>([(0,6),(1,7),(2,4),(3,5),(4,7),(5,8),(6,8),(7,6)],9)
[[],[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]],[]]=>[[[[],[],[]],[]],[[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(8,6)],9)
[[],[[[[],[],[]]],[]]]=>[[[],[[[],[],[]]]],[]]=>[[[[[]]],[],[]],[[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,7),(6,8),(8,7)],9)
[[],[[[[],[[]]]],[]]]=>[[[],[[[[]],[]]]],[]]=>[[[],[[]],[],[]],[[]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,8),(6,7),(8,7)],9)
[[],[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]],[]]=>[[[[],[]],[],[]],[[]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(8,7)],9)
[[],[[[[[],[]]]],[]]]=>[[[],[[[[],[]]]]],[]]=>[[[[]],[],[],[]],[[]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,8),(6,7),(8,7)],9)
[[],[[[[[[]]]]],[]]]=>[[[],[[[[[]]]]]],[]]=>[[[],[],[],[],[]],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(8,7)],9)
[[],[[[],[],[],[],[]]]]=>[[[[],[],[],[],[]]],[]]=>[[[[[[]]]]],[],[[]]]=>([(0,8),(1,7),(2,4),(3,8),(4,8),(5,6),(6,3),(7,5)],9)
[[],[[[],[],[],[[]]]]]=>[[[[[]],[],[],[]]],[]]=>[[],[[[[]]]],[],[[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[],[],[[]],[]]]]=>[[[[],[[]],[],[]]],[]]=>[[[],[[[]]]],[],[[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[],[],[[],[]]]]]=>[[[[[],[]],[],[]]],[]]=>[[[]],[[[]]],[],[[]]]=>([(0,8),(1,6),(2,5),(3,4),(4,7),(5,8),(6,8),(7,8)],9)
[[],[[[],[],[[[]]]]]]=>[[[[[[]]],[],[]]],[]]=>[[],[],[[[]]],[],[[]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[],[[[],[[]],[],[]]]]=>[[[[],[],[[]],[]]],[]]=>[[[[],[[]]]],[],[[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,8),(5,7),(6,8),(7,6)],9)
[[],[[[],[[]],[[]]]]]=>[[[[[]],[[]],[]]],[]]=>[[],[[],[[]]],[],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[],[[],[]],[]]]]=>[[[[],[[],[]],[]]],[]]=>[[[[]],[[]]],[],[[]]]=>([(0,8),(1,6),(2,5),(3,4),(4,8),(5,7),(6,7),(7,8)],9)
[[],[[[],[[[]]],[]]]]=>[[[[],[[[]]],[]]],[]]=>[[[],[],[[]]],[],[[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[],[[],[],[]]]]]=>[[[[[],[],[]],[]]],[]]=>[[[[]]],[[]],[],[[]]]=>([(0,8),(1,6),(2,5),(3,4),(4,7),(5,8),(6,8),(7,8)],9)
[[],[[[],[[],[[]]]]]]=>[[[[[[]],[]],[]]],[]]=>[[],[[]],[[]],[],[[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[],[[[],[[[]],[]]]]]=>[[[[[],[[]]],[]]],[]]=>[[[],[]],[[]],[],[[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[],[[[],[[[],[]]]]]]=>[[[[[[],[]]],[]]],[]]=>[[[]],[],[[]],[],[[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[],[[[],[[[[]]]]]]]=>[[[[[[[]]]],[]]],[]]=>[[],[],[],[[]],[],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[[],[[[[]],[],[],[]]]]=>[[[[],[],[],[[]]]],[]]=>[[[[[],[]]]],[],[[]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(5,6),(6,8),(7,5)],9)
[[],[[[[]],[],[[]]]]]=>[[[[[]],[],[[]]]],[]]=>[[],[[[],[]]],[],[[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[],[[[[]],[[]],[]]]]=>[[[[],[[]],[[]]]],[]]=>[[[],[[],[]]],[],[[]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[[],[[[[]],[[],[]]]]]=>[[[[[],[]],[[]]]],[]]=>[[[]],[[],[]],[],[[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[],[[[[]],[[[]]]]]]=>[[[[[[]]],[[]]]],[]]=>[[],[],[[],[]],[],[[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[],[[[[],[]],[],[]]]]=>[[[[],[],[[],[]]]],[]]=>[[[[[]],[]]],[],[[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,8),(5,7),(6,8),(7,6)],9)
[[],[[[[[]]],[],[]]]]=>[[[[],[],[[[]]]]],[]]=>[[[[],[],[]]],[],[[]]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[],[[[[],[]],[[]]]]]=>[[[[[]],[[],[]]]],[]]=>[[],[[[]],[]],[],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[[[]]],[[]]]]]=>[[[[[]],[[[]]]]],[]]=>[[],[[],[],[]],[],[[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[],[[[[],[],[]],[]]]]=>[[[[],[[],[],[]]]],[]]=>[[[[[]]],[]],[],[[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[[],[[]]],[]]]]=>[[[[],[[[]],[]]]],[]]=>[[[],[[]],[]],[],[[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[[[]],[]],[]]]]=>[[[[],[[],[[]]]]],[]]=>[[[[],[]],[]],[],[[]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[[],[[[[[],[]]],[]]]]=>[[[[],[[[],[]]]]],[]]=>[[[[]],[],[]],[],[[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[[[[]]]],[]]]]=>[[[[],[[[[]]]]]],[]]=>[[[],[],[],[]],[],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(8,7)],9)
[[],[[[[],[],[],[]]]]]=>[[[[[],[],[],[]]]],[]]=>[[[[[]]]],[],[],[[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[[],[],[[]]]]]]=>[[[[[[]],[],[]]]],[]]=>[[],[[[]]],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[],[[[[],[[]],[]]]]]=>[[[[[],[[]],[]]]],[]]=>[[[],[[]]],[],[],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[[],[[],[]]]]]]=>[[[[[[],[]],[]]]],[]]=>[[[]],[[]],[],[],[[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[],[[[[],[[[]]]]]]]=>[[[[[[[]]],[]]]],[]]=>[[],[],[[]],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[[],[[[[[]],[],[]]]]]=>[[[[[],[],[[]]]]],[]]=>[[[[],[]]],[],[],[[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[],[[[[[]],[[]]]]]]=>[[[[[[]],[[]]]]],[]]=>[[],[[],[]],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[],[[[[[],[]],[]]]]]=>[[[[[],[[],[]]]]],[]]=>[[[[]],[]],[],[],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[],[[[[[[]]],[]]]]]=>[[[[[],[[[]]]]]],[]]=>[[[],[],[]],[],[],[[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[],[[[[[],[],[]]]]]]=>[[[[[[],[],[]]]]],[]]=>[[[[]]],[],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[],[[[[[],[[]]]]]]]=>[[[[[[[]],[]]]]],[]]=>[[],[[]],[],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[[],[[[[[[]],[]]]]]]=>[[[[[[],[[]]]]]],[]]=>[[[],[]],[],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[],[[[[[[],[]]]]]]]=>[[[[[[[],[]]]]]],[]]=>[[[]],[],[],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[[],[[[[[[[]]]]]]]]=>[[[[[[[[]]]]]]],[]]=>[[],[],[],[],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[[]],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[[]]]=>[[[[[[[[],[]]]]]]]]=>([(0,8),(1,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,7)],9)
[[[]],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[[]]]=>[[],[[[[[[],[]]]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,4),(6,3),(8,5)],9)
[[[]],[],[],[],[[]],[]]=>[[],[[]],[],[],[],[[]]]=>[[[],[[[[[],[]]]]]]]=>([(0,8),(1,7),(2,7),(4,8),(5,4),(6,5),(7,6),(8,3)],9)
[[[]],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[[]]]=>[[[]],[[[[[],[]]]]]]=>([(0,8),(1,8),(2,4),(3,7),(4,7),(5,6),(6,3),(8,5)],9)
[[[]],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[[]]]=>[[],[],[[[[[],[]]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,8),(6,5),(7,4)],9)
[[[]],[],[],[[]],[],[]]=>[[],[],[[]],[],[],[[]]]=>[[[[],[[[[],[]]]]]]]=>([(0,8),(1,8),(2,7),(4,7),(5,4),(6,3),(7,6),(8,5)],9)
[[[]],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[[]]]=>[[],[[],[[[[],[]]]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,6),(6,7),(8,4)],9)
[[[]],[],[],[[],[]],[]]=>[[],[[],[]],[],[],[[]]]=>[[[[]],[[[[],[]]]]]]=>([(0,7),(1,7),(2,5),(4,8),(5,8),(6,4),(7,6),(8,3)],9)
[[[]],[],[],[[[]]],[]]=>[[],[[[]]],[],[],[[]]]=>[[[],[],[[[[],[]]]]]]=>([(0,8),(1,8),(2,7),(3,7),(5,6),(6,8),(7,5),(8,4)],9)
[[[]],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[[]]]=>[[[[]]],[[[[],[]]]]]=>([(0,8),(1,8),(2,6),(3,7),(4,7),(5,4),(6,3),(8,5)],9)
[[[]],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[[]]]=>[[],[[]],[[[[],[]]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(5,6),(6,8),(7,5)],9)
[[[]],[],[],[[[]],[]]]=>[[[],[[]]],[],[],[[]]]=>[[[],[]],[[[[],[]]]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,7),(6,7),(8,4)],9)
[[[]],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[[]]]=>[[[]],[],[[[[],[]]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(5,6),(6,8),(7,5)],9)
[[[]],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[[]]]=>[[],[],[],[[[[],[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,5)],9)
[[[]],[],[[]],[],[],[]]=>[[],[],[],[[]],[],[[]]]=>[[[[[],[[[],[]]]]]]]=>([(0,8),(1,8),(2,7),(4,7),(5,3),(6,5),(7,6),(8,4)],9)
[[[]],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[[]]]=>[[],[[[],[[[],[]]]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,8),(5,7),(6,4),(8,5)],9)
[[[]],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[[]]]=>[[[],[[],[[[],[]]]]]]=>([(0,8),(1,6),(2,6),(3,7),(5,8),(6,5),(7,4),(8,7)],9)
[[[]],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[[]]]=>[[[]],[[],[[[],[]]]]]=>([(0,6),(1,6),(2,7),(3,4),(4,8),(5,7),(6,5),(7,8)],9)
[[[]],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[[]]]=>[[],[],[[],[[[],[]]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,7),(6,5),(7,8)],9)
[[[]],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[[]]]=>[[[[[]],[[[],[]]]]]]=>([(0,8),(1,8),(2,5),(4,7),(5,7),(6,3),(7,6),(8,4)],9)
[[[]],[],[[[]]],[],[]]=>[[],[],[[[]]],[],[[]]]=>[[[[],[],[[[],[]]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,8),(7,5),(8,4)],9)
[[[]],[],[[],[]],[[]]]=>[[[]],[[],[]],[],[[]]]=>[[],[[[]],[[[],[]]]]]=>([(0,7),(1,7),(2,6),(3,5),(4,8),(5,8),(7,4),(8,6)],9)
[[[]],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[[]]]=>[[],[[],[],[[[],[]]]]]=>([(0,7),(1,7),(2,8),(3,8),(4,6),(5,8),(7,5),(8,6)],9)
[[[]],[],[[],[],[]],[]]=>[[],[[],[],[]],[],[[]]]=>[[[[[]]],[[[],[]]]]]=>([(0,8),(1,8),(2,6),(3,7),(4,7),(6,4),(7,5),(8,3)],9)
[[[]],[],[[],[[]]],[]]=>[[],[[[]],[]],[],[[]]]=>[[[],[[]],[[[],[]]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(6,8),(7,6),(8,5)],9)
[[[]],[],[[[]],[]],[]]=>[[],[[],[[]]],[],[[]]]=>[[[[],[]],[[[],[]]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,8),(6,8),(7,4),(8,5)],9)
[[[]],[],[[[],[]]],[]]=>[[],[[[],[]]],[],[[]]]=>[[[[]],[],[[[],[]]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(6,8),(7,6),(8,5)],9)
[[[]],[],[[[[]]]],[]]=>[[],[[[[]]]],[],[[]]]=>[[[],[],[],[[[],[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(6,8),(7,6),(8,5)],9)
[[[]],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[[]]]=>[[[[[]]]],[[[],[]]]]=>([(0,8),(1,8),(2,6),(3,7),(4,7),(5,4),(6,5),(8,3)],9)
[[[]],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[[]]]=>[[],[[[]]],[[[],[]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,6),(5,8),(6,8),(7,5)],9)
[[[]],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[[]]]=>[[[],[[]]],[[[],[]]]]=>([(0,6),(1,6),(2,7),(3,5),(4,8),(5,7),(6,4),(7,8)],9)
[[[]],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[[]]]=>[[[]],[[]],[[[],[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,8),(7,6)],9)
[[[]],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[[]]]=>[[],[],[[]],[[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[[]],[],[[[]],[],[]]]=>[[[],[],[[]]],[],[[]]]=>[[[[],[]]],[[[],[]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,8),(6,5),(7,4)],9)
[[[]],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[[]]]=>[[],[[],[]],[[[],[]]]]=>([(0,7),(1,7),(2,8),(3,6),(4,6),(5,8),(6,8),(7,5)],9)
[[[]],[],[[[],[]],[]]]=>[[[],[[],[]]],[],[[]]]=>[[[[]],[]],[[[],[]]]]=>([(0,6),(1,6),(2,7),(3,5),(4,8),(5,7),(6,4),(7,8)],9)
[[[]],[],[[[[]]],[]]]=>[[[],[[[]]]],[],[[]]]=>[[[],[],[]],[[[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,5),(8,7)],9)
[[[]],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[[]]]=>[[[[]]],[],[[[],[]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,6),(5,8),(6,8),(7,5)],9)
[[[]],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[[]]]=>[[],[[]],[],[[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[[]],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[[]]]=>[[[],[]],[],[[[],[]]]]=>([(0,7),(1,7),(2,8),(3,6),(4,6),(5,8),(6,8),(7,5)],9)
[[[]],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[[]]]=>[[[]],[],[],[[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[[]],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[[]]]=>[[],[],[],[],[[[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,8),(7,6)],9)
[[[]],[[]],[],[],[],[]]=>[[],[],[],[],[[]],[[]]]=>[[[[[[],[[],[]]]]]]]=>([(0,8),(1,7),(2,7),(4,6),(5,4),(6,3),(7,8),(8,5)],9)
[[[]],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[[]]]=>[[],[[[[],[[],[]]]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,7),(6,8),(8,4)],9)
[[[]],[[]],[],[[]],[]]=>[[],[[]],[],[[]],[[]]]=>[[[],[[[],[[],[]]]]]]=>([(0,7),(1,8),(2,6),(3,6),(4,8),(6,7),(7,4),(8,5)],9)
[[[]],[[]],[],[[],[]]]=>[[[],[]],[],[[]],[[]]]=>[[[]],[[[],[[],[]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,8),(5,8),(6,7),(7,4)],9)
[[[]],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[[]]]=>[[],[],[[[],[[],[]]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,8),(6,7),(7,5)],9)
[[[]],[[]],[[]],[],[]]=>[[],[],[[]],[[]],[[]]]=>[[[[],[[],[[],[]]]]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(6,7),(7,8),(8,4)],9)
[[[]],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[[]]]=>[[],[[],[[],[[],[]]]]]=>([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)
[[[]],[[]],[[],[]],[]]=>[[],[[],[]],[[]],[[]]]=>[[[[]],[[],[[],[]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,8),(6,7),(7,8),(8,5)],9)
[[[]],[[]],[[[]]],[]]=>[[],[[[]]],[[]],[[]]]=>[[[],[],[[],[[],[]]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(6,7),(7,8),(8,5)],9)
[[[]],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[[]]]=>[[[[]]],[[],[[],[]]]]=>([(0,6),(1,6),(2,8),(3,4),(4,5),(5,7),(6,8),(8,7)],9)
[[[]],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[[]]]=>[[],[[]],[[],[[],[]]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[[[]],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[[]]]=>[[[],[]],[[],[[],[]]]]=>([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9)
[[[]],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[[]]]=>[[[]],[],[[],[[],[]]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[[[]],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[[]]]=>[[],[],[],[[],[[],[]]]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,6),(6,7),(7,8)],9)
[[[]],[[],[]],[],[],[]]=>[[],[],[],[[],[]],[[]]]=>[[[[[[]],[[],[]]]]]]=>([(0,8),(1,8),(2,4),(4,7),(5,3),(6,5),(7,6),(8,7)],9)
[[[]],[[[]]],[],[],[]]=>[[],[],[],[[[]]],[[]]]=>[[[[[],[],[[],[]]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(6,5),(7,8),(8,4)],9)
[[[]],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[[]]]=>[[],[[[[]],[[],[]]]]]=>([(0,6),(1,6),(2,7),(3,4),(4,8),(5,7),(6,8),(8,5)],9)
[[[]],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[[]]]=>[[],[[[],[],[[],[]]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,5)],9)
[[[]],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[[]]]=>[[[],[[[]],[[],[]]]]]=>([(0,7),(1,6),(2,6),(3,5),(5,8),(6,8),(7,4),(8,7)],9)
[[[]],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[[]]]=>[[[],[[],[],[[],[]]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(6,8),(7,5),(8,7)],9)
[[[]],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[[]]]=>[[[]],[[[]],[[],[]]]]=>([(0,6),(1,6),(2,4),(3,5),(4,8),(5,7),(6,7),(7,8)],9)
[[[]],[[],[]],[[[]]]]=>[[[[]]],[[],[]],[[]]]=>[[],[],[[[]],[[],[]]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[[[]],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[[]]]=>[[[]],[[],[],[[],[]]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(8,7)],9)
[[[]],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[[]]]=>[[],[],[[],[],[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(8,7)],9)
[[[]],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[[]]]=>[[[[[[]]],[[],[]]]]]=>([(0,8),(1,8),(2,5),(4,7),(5,4),(6,3),(7,6),(8,7)],9)
[[[]],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[[]]]=>[[[[],[[]],[[],[]]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(5,6),(7,8),(8,5)],9)
[[[]],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[[]]]=>[[[[[],[]],[[],[]]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(6,8),(7,8),(8,4)],9)
[[[]],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[[]]]=>[[[[[]],[],[[],[]]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(5,6),(7,8),(8,5)],9)
[[[]],[[[[]]]],[],[]]=>[[],[],[[[[]]]],[[]]]=>[[[[],[],[],[[],[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(7,8),(8,5)],9)
[[[]],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[[]]]=>[[],[[[[]]],[[],[]]]]=>([(0,6),(1,6),(2,7),(3,4),(4,5),(5,8),(6,8),(8,7)],9)
[[[]],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[[]]]=>[[],[[],[[]],[[],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,8),(8,7)],9)
[[[]],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[[]]]=>[[],[[[],[]],[[],[]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(5,8),(6,8),(8,7)],9)
[[[]],[[[],[]]],[[]]]=>[[[]],[[[],[]]],[[]]]=>[[],[[[]],[],[[],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,8),(8,7)],9)
[[[]],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[[]]]=>[[],[[],[],[],[[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,7)],9)
[[[]],[[],[],[],[]],[]]=>[[],[[],[],[],[]],[[]]]=>[[[[[[]]]],[[],[]]]]=>([(0,7),(1,7),(2,6),(4,8),(5,4),(6,5),(7,8),(8,3)],9)
[[[]],[[],[],[[]]],[]]=>[[],[[[]],[],[]],[[]]]=>[[[],[[[]]],[[],[]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,6),(6,8),(7,8),(8,5)],9)
[[[]],[[],[[]],[]],[]]=>[[],[[],[[]],[]],[[]]]=>[[[[],[[]]],[[],[]]]]=>([(0,8),(1,6),(2,6),(3,5),(5,8),(6,7),(7,4),(8,7)],9)
[[[]],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[[]]]=>[[[[]],[[]],[[],[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(7,8),(8,6)],9)
[[[]],[[],[[[]]]],[]]=>[[],[[[[]]],[]],[[]]]=>[[[],[],[[]],[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[[]],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[[]]]=>[[[[[],[]]],[[],[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,8),(6,8),(7,4),(8,5)],9)
[[[]],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[[]]]=>[[[],[[],[]],[[],[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,6),(6,8),(7,8),(8,5)],9)
[[[]],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[[]]]=>[[[[[]],[]],[[],[]]]]=>([(0,8),(1,6),(2,6),(3,5),(5,8),(6,7),(7,4),(8,7)],9)
[[[]],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[[]]]=>[[[[],[],[]],[[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(6,7),(7,5),(8,7)],9)
[[[]],[[[],[],[]]],[]]=>[[],[[[],[],[]]],[[]]]=>[[[[[]]],[],[[],[]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,6),(6,8),(7,8),(8,5)],9)
[[[]],[[[],[[]]]],[]]=>[[],[[[[]],[]]],[[]]]=>[[[],[[]],[],[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[[]],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[[]]]=>[[[[],[]],[],[[],[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,6),(6,8),(7,8),(8,5)],9)
[[[]],[[[[],[]]]],[]]=>[[],[[[[],[]]]],[[]]]=>[[[[]],[],[],[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[[]],[[[[[]]]]],[]]=>[[],[[[[[]]]]],[[]]]=>[[[],[],[],[],[[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(7,8),(8,6)],9)
[[[]],[[],[],[],[],[]]]=>[[[],[],[],[],[]],[[]]]=>[[[[[[]]]]],[[],[]]]=>([(0,8),(1,8),(2,6),(3,7),(4,5),(5,3),(6,4),(8,7)],9)
[[[]],[[],[],[],[[]]]]=>[[[[]],[],[],[]],[[]]]=>[[],[[[[]]]],[[],[]]]=>([(0,4),(1,8),(2,7),(3,7),(4,6),(5,8),(6,5),(7,8)],9)
[[[]],[[],[],[[]],[]]]=>[[[],[[]],[],[]],[[]]]=>[[[],[[[]]]],[[],[]]]=>([(0,6),(1,6),(2,7),(3,4),(4,5),(5,7),(6,8),(7,8)],9)
[[[]],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[[]]]=>[[[]],[[[]]],[[],[]]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(7,8)],9)
[[[]],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[[]]]=>[[],[],[[[]]],[[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[[]],[[],[[]],[],[]]]=>[[[],[],[[]],[]],[[]]]=>[[[[],[[]]]],[[],[]]]=>([(0,8),(1,6),(2,6),(3,4),(4,8),(5,7),(6,7),(8,5)],9)
[[[]],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[[]]]=>[[],[[],[[]]],[[],[]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[[[]],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[[]]]=>[[[[]],[[]]],[[],[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,8),(5,8),(6,7),(8,7)],9)
[[[]],[[],[[[]]],[]]]=>[[[],[[[]]],[]],[[]]]=>[[[],[],[[]]],[[],[]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(8,7)],9)
[[[]],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[[]]]=>[[[[]]],[[]],[[],[]]]=>([(0,7),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(7,8)],9)
[[[]],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[[]]]=>[[],[[]],[[]],[[],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[[]],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[[]]]=>[[[],[]],[[]],[[],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[[]],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[[]]]=>[[[]],[],[[]],[[],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[[]],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[[]]]=>[[],[],[],[[]],[[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[]],[[[]],[],[],[]]]=>[[[],[],[],[[]]],[[]]]=>[[[[[],[]]]],[[],[]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,7),(6,7),(8,4)],9)
[[[]],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[[]]]=>[[],[[[],[]]],[[],[]]]=>([(0,7),(1,7),(2,8),(3,6),(4,6),(5,8),(6,8),(7,5)],9)
[[[]],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[[]]]=>[[[],[[],[]]],[[],[]]]=>([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9)
[[[]],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[[]]]=>[[[]],[[],[]],[[],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[[]],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[[]]]=>[[],[],[[],[]],[[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[[[]],[[[],[]],[],[]]]=>[[[],[],[[],[]]],[[]]]=>[[[[[]],[]]],[[],[]]]=>([(0,8),(1,6),(2,6),(3,4),(4,8),(5,7),(6,7),(8,5)],9)
[[[]],[[[[]]],[],[]]]=>[[[],[],[[[]]]],[[]]]=>[[[[],[],[]]],[[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(8,5)],9)
[[[]],[[[],[]],[[]]]]=>[[[[]],[[],[]]],[[]]]=>[[],[[[]],[]],[[],[]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[[[]],[[[[]]],[[]]]]=>[[[[]],[[[]]]],[[]]]=>[[],[[],[],[]],[[],[]]]=>([(0,8),(1,7),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[[[]],[[[],[],[]],[]]]=>[[[],[[],[],[]]],[[]]]=>[[[[[]]],[]],[[],[]]]=>([(0,6),(1,6),(2,7),(3,4),(4,5),(5,7),(6,8),(7,8)],9)
[[[]],[[[],[[]]],[]]]=>[[[],[[[]],[]]],[[]]]=>[[[],[[]],[]],[[],[]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(8,7)],9)
[[[]],[[[[]],[]],[]]]=>[[[],[[],[[]]]],[[]]]=>[[[[],[]],[]],[[],[]]]=>([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9)
[[[]],[[[[],[]]],[]]]=>[[[],[[[],[]]]],[[]]]=>[[[[]],[],[]],[[],[]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(8,7)],9)
[[[]],[[[[[]]]],[]]]=>[[[],[[[[]]]]],[[]]]=>[[[],[],[],[]],[[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(5,6),(6,7),(8,7)],9)
[[[]],[[[],[],[],[]]]]=>[[[[],[],[],[]]],[[]]]=>[[[[[]]]],[],[[],[]]]=>([(0,4),(1,8),(2,7),(3,7),(4,6),(5,8),(6,5),(7,8)],9)
[[[]],[[[],[],[[]]]]]=>[[[[[]],[],[]]],[[]]]=>[[],[[[]]],[],[[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[[]],[[[],[[]],[]]]]=>[[[[],[[]],[]]],[[]]]=>[[[],[[]]],[],[[],[]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[[[]],[[[],[[],[]]]]]=>[[[[[],[]],[]]],[[]]]=>[[[]],[[]],[],[[],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[[]],[[[],[[[]]]]]]=>[[[[[[]]],[]]],[[]]]=>[[],[],[[]],[],[[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[]],[[[[]],[],[]]]]=>[[[[],[],[[]]]],[[]]]=>[[[[],[]]],[],[[],[]]]=>([(0,7),(1,7),(2,8),(3,6),(4,6),(5,8),(6,8),(7,5)],9)
[[[]],[[[[]],[[]]]]]=>[[[[[]],[[]]]],[[]]]=>[[],[[],[]],[],[[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[[[]],[[[[],[]],[]]]]=>[[[[],[[],[]]]],[[]]]=>[[[[]],[]],[],[[],[]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[[[]],[[[[[]]],[]]]]=>[[[[],[[[]]]]],[[]]]=>[[[],[],[]],[],[[],[]]]=>([(0,8),(1,7),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[[[]],[[[[],[],[]]]]]=>[[[[[],[],[]]]],[[]]]=>[[[[]]],[],[],[[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[[]],[[[[],[[]]]]]]=>[[[[[[]],[]]]],[[]]]=>[[],[[]],[],[],[[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[]],[[[[[]],[]]]]]=>[[[[[],[[]]]]],[[]]]=>[[[],[]],[],[],[[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[[[]],[[[[[],[]]]]]]=>[[[[[[],[]]]]],[[]]]=>[[[]],[],[],[],[[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[]],[[[[[[]]]]]]]=>[[[[[[[]]]]]],[[]]]=>[[],[],[],[],[],[[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[[],[]],[],[],[],[],[]]=>[[],[],[],[],[],[[],[]]]=>[[[[[[[[]],[]]]]]]]=>([(0,8),(1,3),(3,8),(4,6),(5,4),(6,2),(7,5),(8,7)],9)
[[[[]]],[],[],[],[],[]]=>[[],[],[],[],[],[[[]]]]=>[[[[[[[],[],[]]]]]]]=>([(0,8),(1,8),(2,8),(4,6),(5,4),(6,3),(7,5),(8,7)],9)
[[[],[]],[],[],[],[[]]]=>[[[]],[],[],[],[[],[]]]=>[[],[[[[[[]],[]]]]]]=>([(0,7),(1,8),(2,4),(3,7),(4,8),(5,3),(6,5),(8,6)],9)
[[[[]]],[],[],[],[[]]]=>[[[]],[],[],[],[[[]]]]=>[[],[[[[[],[],[]]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(5,7),(6,5),(8,4)],9)
[[[],[]],[],[],[[]],[]]=>[[],[[]],[],[],[[],[]]]=>[[[],[[[[[]],[]]]]]]=>([(0,8),(1,7),(2,5),(4,8),(5,7),(6,4),(7,6),(8,3)],9)
[[[[]]],[],[],[[]],[]]=>[[],[[]],[],[],[[[]]]]=>[[[],[[[[],[],[]]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(6,7),(7,5),(8,4)],9)
[[[],[]],[],[],[[],[]]]=>[[[],[]],[],[],[[],[]]]=>[[[]],[[[[[]],[]]]]]=>([(0,8),(1,4),(2,5),(3,7),(4,7),(5,8),(6,3),(8,6)],9)
[[[],[]],[],[],[[[]]]]=>[[[[]]],[],[],[[],[]]]=>[[],[],[[[[[]],[]]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,7),(5,6),(6,8),(7,5)],9)
[[[[]]],[],[],[[],[]]]=>[[[],[]],[],[],[[[]]]]=>[[[]],[[[[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,7),(8,4)],9)
[[[[]]],[],[],[[[]]]]=>[[[[]]],[],[],[[[]]]]=>[[],[],[[[[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(8,5)],9)
[[[],[]],[],[[]],[],[]]=>[[],[],[[]],[],[[],[]]]=>[[[[],[[[[]],[]]]]]]=>([(0,8),(1,7),(2,4),(4,8),(5,7),(6,3),(7,6),(8,5)],9)
[[[[]]],[],[[]],[],[]]=>[[],[],[[]],[],[[[]]]]=>[[[[],[[[],[],[]]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(7,5),(8,4)],9)
[[[],[]],[],[[]],[[]]]=>[[[]],[[]],[],[[],[]]]=>[[],[[],[[[[]],[]]]]]=>([(0,8),(1,6),(2,7),(3,4),(4,8),(5,7),(7,6),(8,5)],9)
[[[[]]],[],[[]],[[]]]=>[[[]],[[]],[],[[[]]]]=>[[],[[],[[[],[],[]]]]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,7),(7,6),(8,5)],9)
[[[],[]],[],[[],[]],[]]=>[[],[[],[]],[],[[],[]]]=>[[[[]],[[[[]],[]]]]]=>([(0,8),(1,5),(2,6),(4,7),(5,7),(6,8),(7,3),(8,4)],9)
[[[],[]],[],[[[]]],[]]=>[[],[[[]]],[],[[],[]]]=>[[[],[],[[[[]],[]]]]]=>([(0,8),(1,8),(2,7),(3,5),(5,7),(6,8),(7,6),(8,4)],9)
[[[[]]],[],[[],[]],[]]=>[[],[[],[]],[],[[[]]]]=>[[[[]],[[[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,7),(5,7),(7,6),(8,5)],9)
[[[[]]],[],[[[]]],[]]=>[[],[[[]]],[],[[[]]]]=>[[[],[],[[[],[],[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(6,8),(7,6),(8,5)],9)
[[[],[]],[],[[],[],[]]]=>[[[],[],[]],[],[[],[]]]=>[[[[]]],[[[[]],[]]]]=>([(0,8),(1,5),(2,6),(3,7),(4,7),(5,8),(6,4),(8,3)],9)
[[[],[]],[],[[],[[]]]]=>[[[[]],[]],[],[[],[]]]=>[[],[[]],[[[[]],[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,8),(5,7),(6,8),(7,6)],9)
[[[],[]],[],[[[]],[]]]=>[[[],[[]]],[],[[],[]]]=>[[[],[]],[[[[]],[]]]]=>([(0,8),(1,6),(2,6),(3,4),(4,8),(5,7),(6,7),(8,5)],9)
[[[],[]],[],[[[],[]]]]=>[[[[],[]]],[],[[],[]]]=>[[[]],[],[[[[]],[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,8),(5,7),(6,8),(7,6)],9)
[[[],[]],[],[[[[]]]]]=>[[[[[]]]],[],[[],[]]]=>[[],[],[],[[[[]],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,8),(7,6)],9)
[[[[]]],[],[[],[],[]]]=>[[[],[],[]],[],[[[]]]]=>[[[[]]],[[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(6,7),(8,5)],9)
[[[[]]],[],[[],[[]]]]=>[[[[]],[]],[],[[[]]]]=>[[],[[]],[[[],[],[]]]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[[[]]],[],[[[]],[]]]=>[[[],[[]]],[],[[[]]]]=>[[[],[]],[[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(8,5)],9)
[[[[]]],[],[[[],[]]]]=>[[[[],[]]],[],[[[]]]]=>[[[]],[],[[[],[],[]]]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[[[]]],[],[[[[]]]]]=>[[[[[]]]],[],[[[]]]]=>[[],[],[],[[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,8),(7,6)],9)
[[[],[]],[[]],[],[],[]]=>[[],[],[],[[]],[[],[]]]=>[[[[[],[[[]],[]]]]]]=>([(0,8),(1,7),(2,4),(4,7),(5,3),(6,5),(7,8),(8,6)],9)
[[[[]]],[[]],[],[],[]]=>[[],[],[],[[]],[[[]]]]=>[[[[[],[[],[],[]]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(6,5),(7,4),(8,7)],9)
[[[],[]],[[]],[],[[]]]=>[[[]],[],[[]],[[],[]]]=>[[],[[[],[[[]],[]]]]]=>([(0,6),(1,7),(2,8),(3,4),(4,8),(5,7),(6,5),(8,6)],9)
[[[[]]],[[]],[],[[]]]=>[[[]],[],[[]],[[[]]]]=>[[],[[[],[[],[],[]]]]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,7),(6,5),(8,6)],9)
[[[],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[]]]=>[[[],[[],[[[]],[]]]]]=>([(0,7),(1,8),(2,6),(3,5),(5,8),(6,7),(7,4),(8,6)],9)
[[[[]]],[[]],[[]],[]]=>[[],[[]],[[]],[[[]]]]=>[[[],[[],[[],[],[]]]]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(6,7),(7,5),(8,6)],9)
[[[],[]],[[]],[[],[]]]=>[[[],[]],[[]],[[],[]]]=>[[[]],[[],[[[]],[]]]]=>([(0,6),(1,7),(2,4),(3,5),(4,7),(5,8),(6,8),(7,6)],9)
[[[],[]],[[]],[[[]]]]=>[[[[]]],[[]],[[],[]]]=>[[],[],[[],[[[]],[]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(6,8),(7,6)],9)
[[[[]]],[[]],[[],[]]]=>[[[],[]],[[]],[[[]]]]=>[[[]],[[],[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(8,6)],9)
[[[[]]],[[]],[[[]]]]=>[[[[]]],[[]],[[[]]]]=>[[],[],[[],[[],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,6)],9)
[[[],[]],[[],[]],[],[]]=>[[],[],[[],[]],[[],[]]]=>[[[[[]],[[[]],[]]]]]=>([(0,7),(1,4),(2,5),(4,8),(5,7),(6,3),(7,8),(8,6)],9)
[[[],[]],[[[]]],[],[]]=>[[],[],[[[]]],[[],[]]]=>[[[[],[],[[[]],[]]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,7),(7,8),(8,4)],9)
[[[[]]],[[],[]],[],[]]=>[[],[],[[],[]],[[[]]]]=>[[[[[]],[[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,7),(5,6),(7,5),(8,7)],9)
[[[[]]],[[[]]],[],[]]=>[[],[],[[[]]],[[[]]]]=>[[[[],[],[[],[],[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(7,8),(8,5)],9)
[[[],[]],[[],[]],[[]]]=>[[[]],[[],[]],[[],[]]]=>[[],[[[]],[[[]],[]]]]=>([(0,6),(1,7),(2,4),(3,5),(4,8),(5,7),(7,8),(8,6)],9)
[[[],[]],[[[]]],[[]]]=>[[[]],[[[]]],[[],[]]]=>[[],[[],[],[[[]],[]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(7,8),(8,6)],9)
[[[[]]],[[],[]],[[]]]=>[[[]],[[],[]],[[[]]]]=>[[],[[[]],[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(7,6),(8,7)],9)
[[[[]]],[[[]]],[[]]]=>[[[]],[[[]]],[[[]]]]=>[[],[[],[],[[],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(7,8),(8,6)],9)
[[[],[]],[[],[],[]],[]]=>[[],[[],[],[]],[[],[]]]=>[[[[[]]],[[[]],[]]]]=>([(0,7),(1,5),(2,6),(4,8),(5,7),(6,4),(7,8),(8,3)],9)
[[[],[]],[[],[[]]],[]]=>[[],[[[]],[]],[[],[]]]=>[[[],[[]],[[[]],[]]]]=>([(0,8),(1,7),(2,4),(3,6),(4,8),(6,7),(7,8),(8,5)],9)
[[[],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[]]]=>[[[[],[]],[[[]],[]]]]=>([(0,8),(1,6),(2,6),(3,5),(5,8),(6,7),(7,4),(8,7)],9)
[[[],[]],[[[],[]]],[]]=>[[],[[[],[]]],[[],[]]]=>[[[[]],[],[[[]],[]]]]=>([(0,8),(1,7),(2,4),(3,6),(4,8),(6,7),(7,8),(8,5)],9)
[[[],[]],[[[[]]]],[]]=>[[],[[[[]]]],[[],[]]]=>[[[],[],[],[[[]],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(6,7),(7,8),(8,5)],9)
[[[[]]],[[],[],[]],[]]=>[[],[[],[],[]],[[[]]]]=>[[[[[]]],[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(6,7),(7,5),(8,7)],9)
[[[[]]],[[],[[]]],[]]=>[[],[[[]],[]],[[[]]]]=>[[[],[[]],[[],[],[]]]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[[[]]],[[[]],[]],[]]=>[[],[[],[[]]],[[[]]]]=>[[[[],[]],[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(6,7),(7,5),(8,7)],9)
[[[[]]],[[[],[]]],[]]=>[[],[[[],[]]],[[[]]]]=>[[[[]],[],[[],[],[]]]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[[[]]],[[[[]]]],[]]=>[[],[[[[]]]],[[[]]]]=>[[[],[],[],[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(7,8),(8,6)],9)
[[[],[]],[[],[],[],[]]]=>[[[],[],[],[]],[[],[]]]=>[[[[[]]]],[[[]],[]]]=>([(0,7),(1,6),(2,4),(3,8),(4,7),(5,3),(6,5),(7,8)],9)
[[[],[]],[[],[],[[]]]]=>[[[[]],[],[]],[[],[]]]=>[[],[[[]]],[[[]],[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[],[]],[[],[[]],[]]]=>[[[],[[]],[]],[[],[]]]=>[[[],[[]]],[[[]],[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(7,6),(8,6)],9)
[[[],[]],[[],[[],[]]]]=>[[[[],[]],[]],[[],[]]]=>[[[]],[[]],[[[]],[]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9)
[[[],[]],[[],[[[]]]]]=>[[[[[]]],[]],[[],[]]]=>[[],[],[[]],[[[]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[]],[[[]],[],[]]]=>[[[],[],[[]]],[[],[]]]=>[[[[],[]]],[[[]],[]]]=>([(0,6),(1,6),(2,7),(3,5),(4,8),(5,7),(6,4),(7,8)],9)
[[[],[]],[[[]],[[]]]]=>[[[[]],[[]]],[[],[]]]=>[[],[[],[]],[[[]],[]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[[[],[]],[[[],[]],[]]]=>[[[],[[],[]]],[[],[]]]=>[[[[]],[]],[[[]],[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(7,6),(8,6)],9)
[[[],[]],[[[[]]],[]]]=>[[[],[[[]]]],[[],[]]]=>[[[],[],[]],[[[]],[]]]=>([(0,7),(1,8),(2,8),(3,8),(4,5),(5,7),(7,6),(8,6)],9)
[[[],[]],[[[],[],[]]]]=>[[[[],[],[]]],[[],[]]]=>[[[[]]],[],[[[]],[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[],[]],[[[],[[]]]]]=>[[[[[]],[]]],[[],[]]]=>[[],[[]],[],[[[]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[]],[[[[]],[]]]]=>[[[[],[[]]]],[[],[]]]=>[[[],[]],[],[[[]],[]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[[[],[]],[[[[],[]]]]]=>[[[[[],[]]]],[[],[]]]=>[[[]],[],[],[[[]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[]],[[[[[]]]]]]=>[[[[[[]]]]],[[],[]]]=>[[],[],[],[],[[[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[[[[]]],[[],[],[],[]]]=>[[[],[],[],[]],[[[]]]]=>[[[[[]]]],[[],[],[]]]=>([(0,4),(1,8),(2,8),(3,8),(4,6),(5,7),(6,5),(8,7)],9)
[[[[]]],[[],[],[[]]]]=>[[[[]],[],[]],[[[]]]]=>[[],[[[]]],[[],[],[]]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[[[]]],[[],[[]],[]]]=>[[[],[[]],[]],[[[]]]]=>[[[],[[]]],[[],[],[]]]=>([(0,7),(1,8),(2,8),(3,8),(4,5),(5,7),(7,6),(8,6)],9)
[[[[]]],[[],[[],[]]]]=>[[[[],[]],[]],[[[]]]]=>[[[]],[[]],[[],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[[[]]],[[],[[[]]]]]=>[[[[[]]],[]],[[[]]]]=>[[],[],[[]],[[],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[]]],[[[]],[],[]]]=>[[[],[],[[]]],[[[]]]]=>[[[[],[]]],[[],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,5),(8,7)],9)
[[[[]]],[[[]],[[]]]]=>[[[[]],[[]]],[[[]]]]=>[[],[[],[]],[[],[],[]]]=>([(0,8),(1,7),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[[[[]]],[[[],[]],[]]]=>[[[],[[],[]]],[[[]]]]=>[[[[]],[]],[[],[],[]]]=>([(0,7),(1,8),(2,8),(3,8),(4,5),(5,7),(7,6),(8,6)],9)
[[[[]]],[[[[]]],[]]]=>[[[],[[[]]]],[[[]]]]=>[[[],[],[]],[[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(7,6),(8,6)],9)
[[[[]]],[[[],[],[]]]]=>[[[[],[],[]]],[[[]]]]=>[[[[]]],[],[[],[],[]]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[[[]]],[[[],[[]]]]]=>[[[[[]],[]]],[[[]]]]=>[[],[[]],[],[[],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[]]],[[[[]],[]]]]=>[[[[],[[]]]],[[[]]]]=>[[[],[]],[],[[],[],[]]]=>([(0,8),(1,7),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[[[[]]],[[[[],[]]]]]=>[[[[[],[]]]],[[[]]]]=>[[[]],[],[],[[],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[]]],[[[[[]]]]]]=>[[[[[[]]]]],[[[]]]]=>[[],[],[],[],[[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[[[],[],[]],[],[],[],[]]=>[[],[],[],[],[[],[],[]]]=>[[[[[[[[]]],[]]]]]]=>([(0,8),(1,6),(3,8),(4,5),(5,2),(6,3),(7,4),(8,7)],9)
[[[],[[]]],[],[],[],[]]=>[[],[],[],[],[[[]],[]]]=>[[[[[[],[[]],[]]]]]]=>([(0,8),(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[[[[]],[]],[],[],[],[]]=>[[],[],[],[],[[],[[]]]]=>[[[[[[[],[]],[]]]]]]=>([(0,8),(1,7),(2,7),(4,6),(5,4),(6,3),(7,8),(8,5)],9)
[[[[],[]]],[],[],[],[]]=>[[],[],[],[],[[[],[]]]]=>[[[[[[[]],[],[]]]]]]=>([(0,8),(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[[[[[]]]],[],[],[],[]]=>[[],[],[],[],[[[[]]]]]=>[[[[[[],[],[],[]]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(6,5),(7,6),(8,4)],9)
[[[],[],[]],[],[],[[]]]=>[[[]],[],[],[[],[],[]]]=>[[],[[[[[[]]],[]]]]]=>([(0,7),(1,8),(2,5),(3,7),(4,8),(5,4),(6,3),(8,6)],9)
[[[],[[]]],[],[],[[]]]=>[[[]],[],[],[[[]],[]]]=>[[],[[[[],[[]],[]]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,6),(6,7),(8,5)],9)
[[[[]],[]],[],[],[[]]]=>[[[]],[],[],[[],[[]]]]=>[[],[[[[[],[]],[]]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,7),(6,8),(8,4)],9)
[[[[],[]]],[],[],[[]]]=>[[[]],[],[],[[[],[]]]]=>[[],[[[[[]],[],[]]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,6),(6,7),(8,5)],9)
[[[[[]]]],[],[],[[]]]=>[[[]],[],[],[[[[]]]]]=>[[],[[[[],[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(8,5)],9)
[[[],[],[]],[],[[]],[]]=>[[],[[]],[],[[],[],[]]]=>[[[],[[[[[]]],[]]]]]=>([(0,7),(1,8),(2,6),(3,8),(5,7),(6,3),(7,4),(8,5)],9)
[[[],[[]]],[],[[]],[]]=>[[],[[]],[],[[[]],[]]]=>[[[],[[[],[[]],[]]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,7),(7,6),(8,5)],9)
[[[[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[]]]]=>[[[],[[[[],[]],[]]]]]=>([(0,7),(1,8),(2,6),(3,6),(4,8),(6,7),(7,4),(8,5)],9)
[[[[],[]]],[],[[]],[]]=>[[],[[]],[],[[[],[]]]]=>[[[],[[[[]],[],[]]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,7),(7,6),(8,5)],9)
[[[[[]]]],[],[[]],[]]=>[[],[[]],[],[[[[]]]]]=>[[[],[[[],[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(7,6),(8,5)],9)
[[[],[],[]],[],[[],[]]]=>[[[],[]],[],[[],[],[]]]=>[[[]],[[[[[]]],[]]]]=>([(0,8),(1,5),(2,6),(3,8),(4,7),(5,7),(6,3),(8,4)],9)
[[[],[],[]],[],[[[]]]]=>[[[[]]],[],[[],[],[]]]=>[[],[],[[[[[]]],[]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(5,8),(6,7),(7,5)],9)
[[[],[[]]],[],[[],[]]]=>[[[],[]],[],[[[]],[]]]=>[[[]],[[[],[[]],[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(8,6)],9)
[[[],[[]]],[],[[[]]]]=>[[[[]]],[],[[[]],[]]]=>[[],[],[[[],[[]],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[[[]],[]],[],[[],[]]]=>[[[],[]],[],[[],[[]]]]=>[[[]],[[[[],[]],[]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,8),(5,8),(6,7),(7,4)],9)
[[[[]],[]],[],[[[]]]]=>[[[[]]],[],[[],[[]]]]=>[[],[],[[[[],[]],[]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,8),(6,7),(7,5)],9)
[[[[],[]]],[],[[],[]]]=>[[[],[]],[],[[[],[]]]]=>[[[]],[[[[]],[],[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(8,6)],9)
[[[[],[]]],[],[[[]]]]=>[[[[]]],[],[[[],[]]]]=>[[],[],[[[[]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[]]]],[],[[],[]]]=>[[[],[]],[],[[[[]]]]]=>[[[]],[[[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(8,6)],9)
[[[[[]]]],[],[[[]]]]=>[[[[]]],[],[[[[]]]]]=>[[],[],[[[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(8,6)],9)
[[[],[],[]],[[]],[],[]]=>[[],[],[[]],[[],[],[]]]=>[[[[],[[[[]]],[]]]]]=>([(0,8),(1,7),(2,5),(4,7),(5,4),(6,3),(7,8),(8,6)],9)
[[[],[[]]],[[]],[],[]]=>[[],[],[[]],[[[]],[]]]=>[[[[],[[],[[]],[]]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,6),(7,5),(8,7)],9)
[[[[]],[]],[[]],[],[]]=>[[],[],[[]],[[],[[]]]]=>[[[[],[[[],[]],[]]]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(6,7),(7,8),(8,4)],9)
[[[[],[]]],[[]],[],[]]=>[[],[],[[]],[[[],[]]]]=>[[[[],[[[]],[],[]]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,6),(7,5),(8,7)],9)
[[[[[]]]],[[]],[],[]]=>[[],[],[[]],[[[[]]]]]=>[[[[],[[],[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(7,5),(8,7)],9)
[[[],[],[]],[[]],[[]]]=>[[[]],[[]],[[],[],[]]]=>[[],[[],[[[[]]],[]]]]=>([(0,6),(1,7),(2,8),(3,4),(4,5),(5,6),(6,8),(8,7)],9)
[[[],[[]]],[[]],[[]]]=>[[[]],[[]],[[[]],[]]]=>[[],[[],[[],[[]],[]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(8,6)],9)
[[[[]],[]],[[]],[[]]]=>[[[]],[[]],[[],[[]]]]=>[[],[[],[[[],[]],[]]]]=>([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)
[[[[],[]]],[[]],[[]]]=>[[[]],[[]],[[[],[]]]]=>[[],[[],[[[]],[],[]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[]]]],[[]],[[]]]=>[[[]],[[]],[[[[]]]]]=>[[],[[],[[],[],[],[]]]]=>([(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(8,6)],9)
[[[],[],[]],[[],[]],[]]=>[[],[[],[]],[[],[],[]]]=>[[[[]],[[[[]]],[]]]]=>([(0,7),(1,5),(2,6),(4,7),(5,8),(6,4),(7,8),(8,3)],9)
[[[],[],[]],[[[]]],[]]=>[[],[[[]]],[[],[],[]]]=>[[[],[],[[[[]]],[]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(6,7),(7,8),(8,5)],9)
[[[],[[]]],[[],[]],[]]=>[[],[[],[]],[[[]],[]]]=>[[[[]],[[],[[]],[]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,8),(5,7),(7,6),(8,7)],9)
[[[],[[]]],[[[]]],[]]=>[[],[[[]]],[[[]],[]]]=>[[[],[],[[],[[]],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[[[]],[]],[[],[]],[]]=>[[],[[],[]],[[],[[]]]]=>[[[[]],[[[],[]],[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,8),(6,7),(7,8),(8,5)],9)
[[[[]],[]],[[[]]],[]]=>[[],[[[]]],[[],[[]]]]=>[[[],[],[[[],[]],[]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(6,7),(7,8),(8,5)],9)
[[[[],[]]],[[],[]],[]]=>[[],[[],[]],[[[],[]]]]=>[[[[]],[[[]],[],[]]]]=>([(0,8),(1,8),(2,4),(3,5),(4,8),(5,7),(7,6),(8,7)],9)
[[[[],[]]],[[[]]],[]]=>[[],[[[]]],[[[],[]]]]=>[[[],[],[[[]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[[[[]]]],[[],[]],[]]=>[[],[[],[]],[[[[]]]]]=>[[[[]],[[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(7,6),(8,7)],9)
[[[[[]]]],[[[]]],[]]=>[[],[[[]]],[[[[]]]]]=>[[[],[],[[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(7,6),(8,7)],9)
[[[],[],[]],[[],[],[]]]=>[[[],[],[]],[[],[],[]]]=>[[[[]]],[[[[]]],[]]]=>([(0,7),(1,5),(2,6),(3,8),(4,7),(5,3),(6,4),(7,8)],9)
[[[],[],[]],[[],[[]]]]=>[[[[]],[]],[[],[],[]]]=>[[],[[]],[[[[]]],[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[],[]],[[[]],[]]]=>[[[],[[]]],[[],[],[]]]=>[[[],[]],[[[[]]],[]]]=>([(0,6),(1,6),(2,7),(3,4),(4,5),(5,7),(6,8),(7,8)],9)
[[[],[],[]],[[[],[]]]]=>[[[[],[]]],[[],[],[]]]=>[[[]],[],[[[[]]],[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[],[]],[[[[]]]]]=>[[[[[]]]],[[],[],[]]]=>[[],[],[],[[[[]]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[[],[[]]],[[],[],[]]]=>[[[],[],[]],[[[]],[]]]=>[[[[]]],[[],[[]],[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(8,7)],9)
[[[],[[]]],[[],[[]]]]=>[[[[]],[]],[[[]],[]]]=>[[],[[]],[[],[[]],[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[]]],[[[]],[]]]=>[[[],[[]]],[[[]],[]]]=>[[[],[]],[[],[[]],[]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(8,7)],9)
[[[],[[]]],[[[],[]]]]=>[[[[],[]]],[[[]],[]]]=>[[[]],[],[[],[[]],[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[]]],[[[[]]]]]=>[[[[[]]]],[[[]],[]]]=>[[],[],[],[[],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(7,8)],9)
[[[[]],[]],[[],[],[]]]=>[[[],[],[]],[[],[[]]]]=>[[[[]]],[[[],[]],[]]]=>([(0,6),(1,6),(2,8),(3,4),(4,5),(5,7),(6,8),(8,7)],9)
[[[[]],[]],[[],[[]]]]=>[[[[]],[]],[[],[[]]]]=>[[],[[]],[[[],[]],[]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[[[[]],[]],[[[]],[]]]=>[[[],[[]]],[[],[[]]]]=>[[[],[]],[[[],[]],[]]]=>([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9)
[[[[]],[]],[[[],[]]]]=>[[[[],[]]],[[],[[]]]]=>[[[]],[],[[[],[]],[]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[[[[]],[]],[[[[]]]]]=>[[[[[]]]],[[],[[]]]]=>[[],[],[],[[[],[]],[]]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,6),(6,7),(7,8)],9)
[[[[],[]]],[[],[],[]]]=>[[[],[],[]],[[[],[]]]]=>[[[[]]],[[[]],[],[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(8,7)],9)
[[[[],[]]],[[],[[]]]]=>[[[[]],[]],[[[],[]]]]=>[[],[[]],[[[]],[],[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[[],[]]],[[[]],[]]]=>[[[],[[]]],[[[],[]]]]=>[[[],[]],[[[]],[],[]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(8,7)],9)
[[[[],[]]],[[[],[]]]]=>[[[[],[]]],[[[],[]]]]=>[[[]],[],[[[]],[],[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[[],[]]],[[[[]]]]]=>[[[[[]]]],[[[],[]]]]=>[[],[],[],[[[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(7,8)],9)
[[[[[]]]],[[],[],[]]]=>[[[],[],[]],[[[[]]]]]=>[[[[]]],[[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,6),(6,7),(8,7)],9)
[[[[[]]]],[[],[[]]]]=>[[[[]],[]],[[[[]]]]]=>[[],[[]],[[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(8,7)],9)
[[[[[]]]],[[[]],[]]]=>[[[],[[]]],[[[[]]]]]=>[[[],[]],[[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,6),(5,6),(6,7),(8,7)],9)
[[[[[]]]],[[[],[]]]]=>[[[[],[]]],[[[[]]]]]=>[[[]],[],[[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(8,7)],9)
[[[[[]]]],[[[[]]]]]=>[[[[[]]]],[[[[]]]]]=>[[],[],[],[[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(7,8)],9)
[[[],[],[],[]],[],[],[]]=>[[],[],[],[[],[],[],[]]]=>[[[[[[[[]]]],[]]]]]=>([(0,8),(1,6),(3,8),(4,3),(5,2),(6,4),(7,5),(8,7)],9)
[[[],[],[[]]],[],[],[]]=>[[],[],[],[[[]],[],[]]]=>[[[[[],[[[]]],[]]]]]=>([(0,8),(1,8),(2,6),(4,8),(5,3),(6,4),(7,5),(8,7)],9)
[[[],[[]],[]],[],[],[]]=>[[],[],[],[[],[[]],[]]]=>[[[[[[],[[]]],[]]]]]=>([(0,8),(1,7),(2,4),(4,7),(5,3),(6,5),(7,8),(8,6)],9)
[[[],[[],[]]],[],[],[]]=>[[],[],[],[[[],[]],[]]]=>[[[[[[]],[[]],[]]]]]=>([(0,8),(1,5),(2,4),(4,8),(5,8),(6,3),(7,6),(8,7)],9)
[[[],[[[]]]],[],[],[]]=>[[],[],[],[[[[]]],[]]]=>[[[[[],[],[[]],[]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,8),(5,6),(6,7),(8,5)],9)
[[[[]],[],[]],[],[],[]]=>[[],[],[],[[],[],[[]]]]=>[[[[[[[],[]]],[]]]]]=>([(0,8),(1,8),(2,7),(4,7),(5,3),(6,5),(7,6),(8,4)],9)
[[[[]],[[]]],[],[],[]]=>[[],[],[],[[[]],[[]]]]=>[[[[[],[[],[]],[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(6,5),(7,8),(8,4)],9)
[[[[],[]],[]],[],[],[]]=>[[],[],[],[[],[[],[]]]]=>[[[[[[[]],[]],[]]]]]=>([(0,8),(1,7),(2,4),(4,7),(5,3),(6,5),(7,8),(8,6)],9)
[[[[[]]],[]],[],[],[]]=>[[],[],[],[[],[[[]]]]]=>[[[[[[],[],[]],[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(6,5),(7,4),(8,7)],9)
[[[[],[],[]]],[],[],[]]=>[[],[],[],[[[],[],[]]]]=>[[[[[[[]]],[],[]]]]]=>([(0,8),(1,8),(2,6),(4,8),(5,3),(6,4),(7,5),(8,7)],9)
[[[[],[[]]]],[],[],[]]=>[[],[],[],[[[[]],[]]]]=>[[[[[],[[]],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,8),(5,6),(6,7),(8,5)],9)
[[[[[]],[]]],[],[],[]]=>[[],[],[],[[[],[[]]]]]=>[[[[[[],[]],[],[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(6,5),(7,8),(8,4)],9)
[[[[[],[]]]],[],[],[]]=>[[],[],[],[[[[],[]]]]]=>[[[[[[]],[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,8),(5,6),(6,7),(8,5)],9)
[[[[[[]]]]],[],[],[]]=>[[],[],[],[[[[[]]]]]]=>[[[[[],[],[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(7,6),(8,5)],9)
[[[],[],[],[]],[],[[]]]=>[[[]],[],[[],[],[],[]]]=>[[],[[[[[[]]]],[]]]]=>([(0,8),(1,7),(2,6),(3,8),(4,7),(5,3),(6,5),(8,4)],9)
[[[],[],[[]]],[],[[]]]=>[[[]],[],[[[]],[],[]]]=>[[],[[[],[[[]]],[]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(5,7),(6,8),(8,5)],9)
[[[],[[]],[]],[],[[]]]=>[[[]],[],[[],[[]],[]]]=>[[],[[[[],[[]]],[]]]]=>([(0,6),(1,7),(2,8),(3,4),(4,8),(5,7),(6,5),(8,6)],9)
[[[],[[],[]]],[],[[]]]=>[[[]],[],[[[],[]],[]]]=>[[],[[[[]],[[]],[]]]]=>([(0,8),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[[],[[[]]]],[],[[]]]=>[[[]],[],[[[[]]],[]]]=>[[],[[[],[],[[]],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[[[]],[],[]],[],[[]]]=>[[[]],[],[[],[],[[]]]]=>[[],[[[[[],[]]],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,8),(5,7),(6,4),(8,5)],9)
[[[[]],[[]]],[],[[]]]=>[[[]],[],[[[]],[[]]]]=>[[],[[[],[[],[]],[]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,5)],9)
[[[[],[]],[]],[],[[]]]=>[[[]],[],[[],[[],[]]]]=>[[],[[[[[]],[]],[]]]]=>([(0,6),(1,7),(2,8),(3,4),(4,8),(5,7),(6,5),(8,6)],9)
[[[[[]]],[]],[],[[]]]=>[[[]],[],[[],[[[]]]]]=>[[],[[[[],[],[]],[]]]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,7),(6,5),(8,6)],9)
[[[[],[],[]]],[],[[]]]=>[[[]],[],[[[],[],[]]]]=>[[],[[[[[]]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(5,7),(6,8),(8,5)],9)
[[[[],[[]]]],[],[[]]]=>[[[]],[],[[[[]],[]]]]=>[[],[[[],[[]],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[]],[]]],[],[[]]]=>[[[]],[],[[[],[[]]]]]=>[[],[[[[],[]],[],[]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,5)],9)
[[[[[],[]]]],[],[[]]]=>[[[]],[],[[[[],[]]]]]=>[[],[[[[]],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[[]]]]],[],[[]]]=>[[[]],[],[[[[[]]]]]]=>[[],[[[],[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(8,6)],9)
[[[],[],[],[]],[[]],[]]=>[[],[[]],[[],[],[],[]]]=>[[[],[[[[[]]]],[]]]]=>([(0,8),(1,7),(2,6),(4,7),(5,4),(6,5),(7,8),(8,3)],9)
[[[],[],[[]]],[[]],[]]=>[[],[[]],[[[]],[],[]]]=>[[[],[[],[[[]]],[]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(6,8),(7,5),(8,7)],9)
[[[],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[]]]=>[[[],[[[],[[]]],[]]]]=>([(0,7),(1,8),(2,6),(3,5),(5,8),(6,7),(7,4),(8,6)],9)
[[[],[[],[]]],[[]],[]]=>[[],[[]],[[[],[]],[]]]=>[[[],[[[]],[[]],[]]]]=>([(0,8),(1,7),(2,5),(3,4),(4,8),(5,8),(7,6),(8,7)],9)
[[[],[[[]]]],[[]],[]]=>[[],[[]],[[[[]]],[]]]=>[[[],[[],[],[[]],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[[[]],[],[]],[[]],[]]=>[[],[[]],[[],[],[[]]]]=>[[[],[[[[],[]]],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(5,8),(6,5),(7,4),(8,7)],9)
[[[[]],[[]]],[[]],[]]=>[[],[[]],[[[]],[[]]]]=>[[[],[[],[[],[]],[]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(6,8),(7,5),(8,7)],9)
[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]=>[[[],[[[[]],[]],[]]]]=>([(0,7),(1,8),(2,6),(3,5),(5,8),(6,7),(7,4),(8,6)],9)
[[[[[]]],[]],[[]],[]]=>[[],[[]],[[],[[[]]]]]=>[[[],[[[],[],[]],[]]]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(6,7),(7,5),(8,6)],9)
[[[[],[],[]]],[[]],[]]=>[[],[[]],[[[],[],[]]]]=>[[[],[[[[]]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(6,8),(7,5),(8,7)],9)
[[[[],[[]]]],[[]],[]]=>[[],[[]],[[[[]],[]]]]=>[[[],[[],[[]],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[[[[]],[]]],[[]],[]]=>[[],[[]],[[[],[[]]]]]=>[[[],[[[],[]],[],[]]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(6,8),(7,5),(8,7)],9)
[[[[[],[]]]],[[]],[]]=>[[],[[]],[[[[],[]]]]]=>[[[],[[[]],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[[[[[]]]]],[[]],[]]=>[[],[[]],[[[[[]]]]]]=>[[[],[[],[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(7,6),(8,7)],9)
[[[],[],[],[]],[[],[]]]=>[[[],[]],[[],[],[],[]]]=>[[[]],[[[[[]]]],[]]]=>([(0,7),(1,6),(2,4),(3,7),(4,8),(5,3),(6,5),(7,8)],9)
[[[],[],[],[]],[[[]]]]=>[[[[]]],[[],[],[],[]]]=>[[],[],[[[[[]]]],[]]]=>([(0,4),(1,8),(2,8),(3,7),(4,6),(5,7),(6,5),(7,8)],9)
[[[],[],[[]]],[[],[]]]=>[[[],[]],[[[]],[],[]]]=>[[[]],[[],[[[]]],[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,7),(6,8),(8,7)],9)
[[[],[],[[]]],[[[]]]]=>[[[[]]],[[[]],[],[]]]=>[[],[],[[],[[[]]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[[],[[]],[]],[[],[]]]=>[[[],[]],[[],[[]],[]]]=>[[[]],[[[],[[]]],[]]]=>([(0,6),(1,7),(2,4),(3,5),(4,7),(5,8),(6,8),(7,6)],9)
[[[],[[]],[]],[[[]]]]=>[[[[]]],[[],[[]],[]]]=>[[],[],[[[],[[]]],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(6,8),(7,6)],9)
[[[],[[],[]]],[[],[]]]=>[[[],[]],[[[],[]],[]]]=>[[[]],[[[]],[[]],[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(8,7)],9)
[[[],[[],[]]],[[[]]]]=>[[[[]]],[[[],[]],[]]]=>[[],[],[[[]],[[]],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[],[[[]]]],[[],[]]]=>[[[],[]],[[[[]]],[]]]=>[[[]],[[],[],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,8),(6,7),(8,7)],9)
[[[],[[[]]]],[[[]]]]=>[[[[]]],[[[[]]],[]]]=>[[],[],[[],[],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(8,7)],9)
[[[[]],[],[]],[[],[]]]=>[[[],[]],[[],[],[[]]]]=>[[[]],[[[[],[]]],[]]]=>([(0,6),(1,6),(2,7),(3,4),(4,8),(5,7),(6,5),(7,8)],9)
[[[[]],[],[]],[[[]]]]=>[[[[]]],[[],[],[[]]]]=>[[],[],[[[[],[]]],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,7),(6,5),(7,8)],9)
[[[[]],[[]]],[[],[]]]=>[[[],[]],[[[]],[[]]]]=>[[[]],[[],[[],[]],[]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(8,7)],9)
[[[[]],[[]]],[[[]]]]=>[[[[]]],[[[]],[[]]]]=>[[],[],[[],[[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(8,7)],9)
[[[[],[]],[]],[[],[]]]=>[[[],[]],[[],[[],[]]]]=>[[[]],[[[[]],[]],[]]]=>([(0,6),(1,7),(2,4),(3,5),(4,7),(5,8),(6,8),(7,6)],9)
[[[[],[]],[]],[[[]]]]=>[[[[]]],[[],[[],[]]]]=>[[],[],[[[[]],[]],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(6,8),(7,6)],9)
[[[[[]]],[]],[[],[]]]=>[[[],[]],[[],[[[]]]]]=>[[[]],[[[],[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(8,6)],9)
[[[[[]]],[]],[[[]]]]=>[[[[]]],[[],[[[]]]]]=>[[],[],[[[],[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,6)],9)
[[[[],[],[]]],[[],[]]]=>[[[],[]],[[[],[],[]]]]=>[[[]],[[[[]]],[],[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,7),(6,8),(8,7)],9)
[[[[],[],[]]],[[[]]]]=>[[[[]]],[[[],[],[]]]]=>[[],[],[[[[]]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[[[],[[]]]],[[],[]]]=>[[[],[]],[[[[]],[]]]]=>[[[]],[[],[[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,8),(6,7),(8,7)],9)
[[[[],[[]]]],[[[]]]]=>[[[[]]],[[[[]],[]]]]=>[[],[],[[],[[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(8,7)],9)
[[[[[]],[]]],[[],[]]]=>[[[],[]],[[[],[[]]]]]=>[[[]],[[[],[]],[],[]]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(8,7)],9)
[[[[[]],[]]],[[[]]]]=>[[[[]]],[[[],[[]]]]]=>[[],[],[[[],[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(8,7)],9)
[[[[[],[]]]],[[],[]]]=>[[[],[]],[[[[],[]]]]]=>[[[]],[[[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,8),(6,7),(8,7)],9)
[[[[[],[]]]],[[[]]]]=>[[[[]]],[[[[],[]]]]]=>[[],[],[[[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(8,7)],9)
[[[[[[]]]]],[[],[]]]=>[[[],[]],[[[[[]]]]]]=>[[[]],[[],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(8,7)],9)
[[[[[[]]]]],[[[]]]]=>[[[[]]],[[[[[]]]]]]=>[[],[],[[],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(8,7)],9)
[[[],[],[],[],[]],[],[]]=>[[],[],[[],[],[],[],[]]]=>[[[[[[[[]]]]],[]]]]=>([(0,8),(1,6),(3,8),(4,5),(5,3),(6,4),(7,2),(8,7)],9)
[[[],[],[],[[]]],[],[]]=>[[],[],[[[]],[],[],[]]]=>[[[[],[[[[]]]],[]]]]=>([(0,8),(1,8),(2,6),(4,8),(5,4),(6,5),(7,3),(8,7)],9)
[[[],[],[[]],[]],[],[]]=>[[],[],[[],[[]],[],[]]]=>[[[[[],[[[]]]],[]]]]=>([(0,8),(1,7),(2,5),(4,7),(5,4),(6,3),(7,8),(8,6)],9)
[[[],[],[[],[]]],[],[]]=>[[],[],[[[],[]],[],[]]]=>[[[[[]],[[[]]],[]]]]=>([(0,8),(1,7),(2,5),(4,8),(5,8),(6,3),(7,4),(8,6)],9)
[[[],[],[[[]]]],[],[]]=>[[],[],[[[[]]],[],[]]]=>[[[[],[],[[[]]],[]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,7),(5,6),(7,8),(8,5)],9)
[[[],[[]],[],[]],[],[]]=>[[],[],[[],[],[[]],[]]]=>[[[[[[],[[]]]],[]]]]=>([(0,8),(1,7),(2,4),(4,8),(5,7),(6,3),(7,6),(8,5)],9)
[[[],[[]],[[]]],[],[]]=>[[],[],[[[]],[[]],[]]]=>[[[[],[[],[[]]],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,7),(7,8),(8,4)],9)
[[[],[[],[]],[]],[],[]]=>[[],[],[[],[[],[]],[]]]=>[[[[[[]],[[]]],[]]]]=>([(0,8),(1,5),(2,4),(4,7),(5,7),(6,3),(7,8),(8,6)],9)
[[[],[[[]]],[]],[],[]]=>[[],[],[[],[[[]]],[]]]=>[[[[[],[],[[]]],[]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,6),(7,5),(8,7)],9)
[[[],[[],[],[]]],[],[]]=>[[],[],[[[],[],[]],[]]]=>[[[[[[]]],[[]],[]]]]=>([(0,8),(1,7),(2,5),(4,8),(5,8),(6,3),(7,4),(8,6)],9)
[[[],[[],[[]]]],[],[]]=>[[],[],[[[[]],[]],[]]]=>[[[[],[[]],[[]],[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[[],[[[]],[]]],[],[]]=>[[],[],[[[],[[]]],[]]]=>[[[[[],[]],[[]],[]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(5,6),(7,8),(8,5)],9)
[[[],[[[],[]]]],[],[]]=>[[],[],[[[[],[]]],[]]]=>[[[[[]],[],[[]],[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[[],[[[[]]]]],[],[]]=>[[],[],[[[[[]]]],[]]]=>[[[[],[],[],[[]],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,8),(6,7),(8,6)],9)
[[[[]],[],[],[]],[],[]]=>[[],[],[[],[],[],[[]]]]=>[[[[[[[],[]]]],[]]]]=>([(0,8),(1,8),(2,7),(4,7),(5,4),(6,3),(7,6),(8,5)],9)
[[[[]],[],[[]]],[],[]]=>[[],[],[[[]],[],[[]]]]=>[[[[],[[[],[]]],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,8),(7,5),(8,4)],9)
[[[[]],[[]],[]],[],[]]=>[[],[],[[],[[]],[[]]]]=>[[[[[],[[],[]]],[]]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(6,7),(7,8),(8,4)],9)
[[[[]],[[],[]]],[],[]]=>[[],[],[[[],[]],[[]]]]=>[[[[[]],[[],[]],[]]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(5,6),(7,8),(8,5)],9)
[[[[]],[[[]]]],[],[]]=>[[],[],[[[[]]],[[]]]]=>[[[[],[],[[],[]],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(7,8),(8,5)],9)
[[[[],[]],[],[]],[],[]]=>[[],[],[[],[],[[],[]]]]=>[[[[[[[]],[]]],[]]]]=>([(0,8),(1,7),(2,4),(4,8),(5,7),(6,3),(7,6),(8,5)],9)
[[[[[]]],[],[]],[],[]]=>[[],[],[[],[],[[[]]]]]=>[[[[[[],[],[]]],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(7,5),(8,4)],9)
[[[[],[]],[[]]],[],[]]=>[[],[],[[[]],[[],[]]]]=>[[[[],[[[]],[]],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,7),(7,8),(8,4)],9)
[[[[[]]],[[]]],[],[]]=>[[],[],[[[]],[[[]]]]]=>[[[[],[[],[],[]],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(7,8),(8,5)],9)
[[[[],[],[]],[]],[],[]]=>[[],[],[[],[[],[],[]]]]=>[[[[[[[]]],[]],[]]]]=>([(0,8),(1,7),(2,5),(4,7),(5,4),(6,3),(7,8),(8,6)],9)
[[[[],[[]]],[]],[],[]]=>[[],[],[[],[[[]],[]]]]=>[[[[[],[[]],[]],[]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,6),(7,5),(8,7)],9)
[[[[[]],[]],[]],[],[]]=>[[],[],[[],[[],[[]]]]]=>[[[[[[],[]],[]],[]]]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(6,7),(7,8),(8,4)],9)
[[[[[],[]]],[]],[],[]]=>[[],[],[[],[[[],[]]]]]=>[[[[[[]],[],[]],[]]]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,6),(7,5),(8,7)],9)
[[[[[[]]]],[]],[],[]]=>[[],[],[[],[[[[]]]]]]=>[[[[[],[],[],[]],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(7,5),(8,7)],9)
[[[[],[],[],[]]],[],[]]=>[[],[],[[[],[],[],[]]]]=>[[[[[[[]]]],[],[]]]]=>([(0,8),(1,8),(2,6),(4,8),(5,4),(6,5),(7,3),(8,7)],9)
[[[[],[],[[]]]],[],[]]=>[[],[],[[[[]],[],[]]]]=>[[[[],[[[]]],[],[]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,7),(5,6),(7,8),(8,5)],9)
[[[[],[[]],[]]],[],[]]=>[[],[],[[[],[[]],[]]]]=>[[[[[],[[]]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,7),(7,8),(8,4)],9)
[[[[],[[],[]]]],[],[]]=>[[],[],[[[[],[]],[]]]]=>[[[[[]],[[]],[],[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[[[],[[[]]]]],[],[]]=>[[],[],[[[[[]]],[]]]]=>[[[[],[],[[]],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[]],[],[]]],[],[]]=>[[],[],[[[],[],[[]]]]]=>[[[[[[],[]]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,8),(7,5),(8,4)],9)
[[[[[]],[[]]]],[],[]]=>[[],[],[[[[]],[[]]]]]=>[[[[],[[],[]],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(7,8),(8,5)],9)
[[[[[],[]],[]]],[],[]]=>[[],[],[[[],[[],[]]]]]=>[[[[[[]],[]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,7),(7,8),(8,4)],9)
[[[[[[]]],[]]],[],[]]=>[[],[],[[[],[[[]]]]]]=>[[[[[],[],[]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(7,8),(8,5)],9)
[[[[[],[],[]]]],[],[]]=>[[],[],[[[[],[],[]]]]]=>[[[[[[]]],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,7),(5,6),(7,8),(8,5)],9)
[[[[[],[[]]]]],[],[]]=>[[],[],[[[[[]],[]]]]]=>[[[[],[[]],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[[]],[]]]],[],[]]=>[[],[],[[[[],[[]]]]]]=>[[[[[],[]],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(7,8),(8,5)],9)
[[[[[[],[]]]]],[],[]]=>[[],[],[[[[[],[]]]]]]=>[[[[[]],[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[[[]]]]]],[],[]]=>[[],[],[[[[[[]]]]]]]=>[[[[],[],[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,6)],9)
[[[],[],[],[],[]],[[]]]=>[[[]],[[],[],[],[],[]]]=>[[],[[[[[[]]]]],[]]]=>([(0,8),(1,7),(2,6),(3,7),(4,5),(5,3),(6,4),(7,8)],9)
[[[],[],[],[[]]],[[]]]=>[[[]],[[[]],[],[],[]]]=>[[],[[],[[[[]]]],[]]]=>([(0,4),(1,8),(2,8),(3,7),(4,6),(5,8),(6,5),(8,7)],9)
[[[],[],[[]],[]],[[]]]=>[[[]],[[],[[]],[],[]]]=>[[],[[[],[[[]]]],[]]]=>([(0,6),(1,7),(2,8),(3,4),(4,5),(5,6),(6,8),(8,7)],9)
[[[],[],[[],[]]],[[]]]=>[[[]],[[[],[]],[],[]]]=>[[],[[[]],[[[]]],[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(8,7)],9)
[[[],[],[[[]]]],[[]]]=>[[[]],[[[[]]],[],[]]]=>[[],[[],[],[[[]]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,8),(8,7)],9)
[[[],[[]],[],[]],[[]]]=>[[[]],[[],[],[[]],[]]]=>[[],[[[[],[[]]]],[]]]=>([(0,8),(1,6),(2,7),(3,4),(4,8),(5,7),(7,6),(8,5)],9)
[[[],[[]],[[]]],[[]]]=>[[[]],[[[]],[[]],[]]]=>[[],[[],[[],[[]]],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(7,8),(8,6)],9)
[[[],[[],[]],[]],[[]]]=>[[[]],[[],[[],[]],[]]]=>[[],[[[[]],[[]]],[]]]=>([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[[],[[[]]],[]],[[]]]=>[[[]],[[],[[[]]],[]]]=>[[],[[[],[],[[]]],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(8,6)],9)
[[[],[[],[],[]]],[[]]]=>[[[]],[[[],[],[]],[]]]=>[[],[[[[]]],[[]],[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(8,7)],9)
[[[],[[],[[]]]],[[]]]=>[[[]],[[[[]],[]],[]]]=>[[],[[],[[]],[[]],[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[],[[[]],[]]],[[]]]=>[[[]],[[[],[[]]],[]]]=>[[],[[[],[]],[[]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,8),(8,7)],9)
[[[],[[[],[]]]],[[]]]=>[[[]],[[[[],[]]],[]]]=>[[],[[[]],[],[[]],[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[],[[[[]]]]],[[]]]=>[[[]],[[[[[]]]],[]]]=>[[],[[],[],[],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(8,7)],9)
[[[[]],[],[],[]],[[]]]=>[[[]],[[],[],[],[[]]]]=>[[],[[[[[],[]]]],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,6),(6,7),(8,4)],9)
[[[[]],[],[[]]],[[]]]=>[[[]],[[[]],[],[[]]]]=>[[],[[],[[[],[]]],[]]]=>([(0,7),(1,7),(2,8),(3,8),(4,6),(5,8),(7,5),(8,6)],9)
[[[[]],[[]],[]],[[]]]=>[[[]],[[],[[]],[[]]]]=>[[],[[[],[[],[]]],[]]]=>([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)
[[[[]],[[],[]]],[[]]]=>[[[]],[[[],[]],[[]]]]=>[[],[[[]],[[],[]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,8),(8,7)],9)
[[[[]],[[[]]]],[[]]]=>[[[]],[[[[]]],[[]]]]=>[[],[[],[],[[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,7)],9)
[[[[],[]],[],[]],[[]]]=>[[[]],[[],[],[[],[]]]]=>[[],[[[[[]],[]]],[]]]=>([(0,8),(1,6),(2,7),(3,4),(4,8),(5,7),(7,6),(8,5)],9)
[[[[[]]],[],[]],[[]]]=>[[[]],[[],[],[[[]]]]]=>[[],[[[[],[],[]]],[]]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,7),(7,6),(8,5)],9)
[[[[],[]],[[]]],[[]]]=>[[[]],[[[]],[[],[]]]]=>[[],[[],[[[]],[]],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(7,8),(8,6)],9)
[[[[[]]],[[]]],[[]]]=>[[[]],[[[]],[[[]]]]]=>[[],[[],[[],[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(7,8),(8,6)],9)
[[[[],[],[]],[]],[[]]]=>[[[]],[[],[[],[],[]]]]=>[[],[[[[[]]],[]],[]]]=>([(0,6),(1,7),(2,8),(3,4),(4,5),(5,6),(6,8),(8,7)],9)
[[[[],[[]]],[]],[[]]]=>[[[]],[[],[[[]],[]]]]=>[[],[[[],[[]],[]],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[]],[]],[]],[[]]]=>[[[]],[[],[[],[[]]]]]=>[[],[[[[],[]],[]],[]]]=>([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)
[[[[[],[]]],[]],[[]]]=>[[[]],[[],[[[],[]]]]]=>[[],[[[[]],[],[]],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[[]]]],[]],[[]]]=>[[[]],[[],[[[[]]]]]]=>[[],[[[],[],[],[]],[]]]=>([(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(8,6)],9)
[[[[],[],[],[]]],[[]]]=>[[[]],[[[],[],[],[]]]]=>[[],[[[[[]]]],[],[]]]=>([(0,4),(1,8),(2,8),(3,7),(4,6),(5,8),(6,5),(8,7)],9)
[[[[],[],[[]]]],[[]]]=>[[[]],[[[[]],[],[]]]]=>[[],[[],[[[]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,8),(8,7)],9)
[[[[],[[]],[]]],[[]]]=>[[[]],[[[],[[]],[]]]]=>[[],[[[],[[]]],[],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(7,8),(8,6)],9)
[[[[],[[],[]]]],[[]]]=>[[[]],[[[[],[]],[]]]]=>[[],[[[]],[[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[[],[[[]]]]],[[]]]=>[[[]],[[[[[]]],[]]]]=>[[],[[],[],[[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(8,7)],9)
[[[[[]],[],[]]],[[]]]=>[[[]],[[[],[],[[]]]]]=>[[],[[[[],[]]],[],[]]]=>([(0,7),(1,7),(2,8),(3,8),(4,6),(5,8),(7,5),(8,6)],9)
[[[[[]],[[]]]],[[]]]=>[[[]],[[[[]],[[]]]]]=>[[],[[],[[],[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,7)],9)
[[[[[],[]],[]]],[[]]]=>[[[]],[[[],[[],[]]]]]=>[[],[[[[]],[]],[],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(7,8),(8,6)],9)
[[[[[[]]],[]]],[[]]]=>[[[]],[[[],[[[]]]]]]=>[[],[[[],[],[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(7,8),(8,6)],9)
[[[[[],[],[]]]],[[]]]=>[[[]],[[[[],[],[]]]]]=>[[],[[[[]]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,8),(8,7)],9)
[[[[[],[[]]]]],[[]]]=>[[[]],[[[[[]],[]]]]]=>[[],[[],[[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(8,7)],9)
[[[[[[]],[]]]],[[]]]=>[[[]],[[[[],[[]]]]]]=>[[],[[[],[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,7)],9)
[[[[[[],[]]]]],[[]]]=>[[[]],[[[[[],[]]]]]]=>[[],[[[]],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(8,7)],9)
[[[[[[[]]]]]],[[]]]=>[[[]],[[[[[[]]]]]]]=>[[],[[],[],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)
[[[],[],[],[],[],[]],[]]=>[[],[[],[],[],[],[],[]]]=>[[[[[[[[]]]]]],[]]]=>([(0,8),(1,7),(2,8),(4,6),(5,4),(6,2),(7,5),(8,3)],9)
[[[],[],[],[],[[]]],[]]=>[[],[[[]],[],[],[],[]]]=>[[[],[[[[[]]]]],[]]]=>([(0,8),(1,8),(2,7),(3,8),(5,6),(6,3),(7,5),(8,4)],9)
[[[],[],[],[[]],[]],[]]=>[[],[[],[[]],[],[],[]]]=>[[[[],[[[[]]]]],[]]]=>([(0,8),(1,7),(2,6),(4,7),(5,4),(6,5),(7,8),(8,3)],9)
[[[],[],[],[[],[]]],[]]=>[[],[[[],[]],[],[],[]]]=>[[[[]],[[[[]]]],[]]]=>([(0,8),(1,7),(2,5),(3,8),(5,8),(6,3),(7,6),(8,4)],9)
[[[],[],[],[[[]]]],[]]=>[[],[[[[]]],[],[],[]]]=>[[[],[],[[[[]]]],[]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(6,7),(7,8),(8,5)],9)
[[[],[],[[]],[],[]],[]]=>[[],[[],[],[[]],[],[]]]=>[[[[[],[[[]]]]],[]]]=>([(0,7),(1,8),(2,6),(3,8),(5,7),(6,3),(7,4),(8,5)],9)
[[[],[],[[]],[[]]],[]]=>[[],[[[]],[[]],[],[]]]=>[[[],[[],[[[]]]],[]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(6,7),(7,8),(8,5)],9)
[[[],[],[[],[]],[]],[]]=>[[],[[],[[],[]],[],[]]]=>[[[[[]],[[[]]]],[]]]=>([(0,8),(1,5),(2,6),(4,7),(5,7),(6,4),(7,8),(8,3)],9)
[[[],[],[[[]]],[]],[]]=>[[],[[],[[[]]],[],[]]]=>[[[[],[],[[[]]]],[]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(6,8),(7,5),(8,7)],9)
[[[],[],[[],[],[]]],[]]=>[[],[[[],[],[]],[],[]]]=>[[[[[]]],[[[]]],[]]]=>([(0,8),(1,7),(2,6),(3,8),(4,8),(6,3),(7,4),(8,5)],9)
[[[],[],[[],[[]]]],[]]=>[[],[[[[]],[]],[],[]]]=>[[[],[[]],[[[]]],[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,7),(5,8),(7,8),(8,6)],9)
[[[],[],[[[]],[]]],[]]=>[[],[[[],[[]]],[],[]]]=>[[[[],[]],[[[]]],[]]]=>([(0,8),(1,7),(2,7),(3,4),(4,6),(6,8),(7,8),(8,5)],9)
[[[],[],[[[],[]]]],[]]=>[[],[[[[],[]]],[],[]]]=>[[[[]],[],[[[]]],[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,7),(5,8),(7,8),(8,6)],9)
[[[],[],[[[[]]]]],[]]=>[[],[[[[[]]]],[],[]]]=>[[[],[],[],[[[]]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(7,8),(8,6)],9)
[[[],[[]],[],[],[]],[]]=>[[],[[],[],[],[[]],[]]]=>[[[[[[],[[]]]]],[]]]=>([(0,8),(1,7),(2,5),(4,8),(5,7),(6,4),(7,6),(8,3)],9)
[[[],[[]],[],[[]]],[]]=>[[],[[[]],[],[[]],[]]]=>[[[],[[[],[[]]]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(5,7),(6,8),(7,6),(8,4)],9)
[[[],[[]],[[]],[]],[]]=>[[],[[],[[]],[[]],[]]]=>[[[[],[[],[[]]]],[]]]=>([(0,7),(1,8),(2,6),(3,5),(5,8),(6,7),(7,4),(8,6)],9)
[[[],[[]],[[],[]]],[]]=>[[],[[[],[]],[[]],[]]]=>[[[[]],[[],[[]]],[]]]=>([(0,8),(1,7),(2,4),(3,6),(4,8),(6,7),(7,8),(8,5)],9)
[[[],[[]],[[[]]]],[]]=>[[],[[[[]]],[[]],[]]]=>[[[],[],[[],[[]]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(6,7),(7,8),(8,5)],9)
[[[],[[],[]],[],[]],[]]=>[[],[[],[],[[],[]],[]]]=>[[[[[[]],[[]]]],[]]]=>([(0,8),(1,6),(2,5),(4,8),(5,7),(6,7),(7,4),(8,3)],9)
[[[],[[[]]],[],[]],[]]=>[[],[[],[],[[[]]],[]]]=>[[[[[],[],[[]]]],[]]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,7),(7,6),(8,5)],9)
[[[],[[],[]],[[]]],[]]=>[[],[[[]],[[],[]],[]]]=>[[[],[[[]],[[]]],[]]]=>([(0,8),(1,8),(2,6),(3,5),(5,7),(6,7),(7,8),(8,4)],9)
[[[],[[[]]],[[]]],[]]=>[[],[[[]],[[[]]],[]]]=>[[[],[[],[],[[]]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[[],[[],[],[]],[]],[]]=>[[],[[],[[],[],[]],[]]]=>[[[[[[]]],[[]]],[]]]=>([(0,8),(1,5),(2,6),(4,7),(5,7),(6,4),(7,8),(8,3)],9)
[[[],[[],[[]]],[]],[]]=>[[],[[],[[[]],[]],[]]]=>[[[[],[[]],[[]]],[]]]=>([(0,8),(1,7),(2,5),(3,4),(4,8),(5,8),(7,6),(8,7)],9)
[[[],[[[]],[]],[]],[]]=>[[],[[],[[],[[]]],[]]]=>[[[[[],[]],[[]]],[]]]=>([(0,7),(1,6),(2,6),(3,5),(5,8),(6,8),(7,4),(8,7)],9)
[[[],[[[],[]]],[]],[]]=>[[],[[],[[[],[]]],[]]]=>[[[[[]],[],[[]]],[]]]=>([(0,8),(1,7),(2,5),(3,4),(4,8),(5,8),(7,6),(8,7)],9)
[[[],[[[[]]]],[]],[]]=>[[],[[],[[[[]]]],[]]]=>[[[[],[],[],[[]]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[[],[[],[],[],[]]],[]]=>[[],[[[],[],[],[]],[]]]=>[[[[[[]]]],[[]],[]]]=>([(0,8),(1,7),(2,5),(3,8),(5,8),(6,3),(7,6),(8,4)],9)
[[[],[[],[],[[]]]],[]]=>[[],[[[[]],[],[]],[]]]=>[[[],[[[]]],[[]],[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,7),(5,8),(7,8),(8,6)],9)
[[[],[[],[[]],[]]],[]]=>[[],[[[],[[]],[]],[]]]=>[[[[],[[]]],[[]],[]]]=>([(0,8),(1,7),(2,4),(3,6),(4,8),(6,7),(7,8),(8,5)],9)
[[[],[[],[[],[]]]],[]]=>[[],[[[[],[]],[]],[]]]=>[[[[]],[[]],[[]],[]]]=>([(0,8),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(8,7)],9)
[[[],[[],[[[]]]]],[]]=>[[],[[[[[]]],[]],[]]]=>[[[],[],[[]],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[],[[[]],[],[]]],[]]=>[[],[[[],[],[[]]],[]]]=>[[[[[],[]]],[[]],[]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(6,8),(7,6),(8,5)],9)
[[[],[[[]],[[]]]],[]]=>[[],[[[[]],[[]]],[]]]=>[[[],[[],[]],[[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[[],[[[],[]],[]]],[]]=>[[],[[[],[[],[]]],[]]]=>[[[[[]],[]],[[]],[]]]=>([(0,8),(1,7),(2,4),(3,6),(4,8),(6,7),(7,8),(8,5)],9)
[[[],[[[[]]],[]]],[]]=>[[],[[[],[[[]]]],[]]]=>[[[[],[],[]],[[]],[]]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[[],[[[],[],[]]]],[]]=>[[],[[[[],[],[]]],[]]]=>[[[[[]]],[],[[]],[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,7),(5,8),(7,8),(8,6)],9)
[[[],[[[],[[]]]]],[]]=>[[],[[[[[]],[]]],[]]]=>[[[],[[]],[],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[],[[[[]],[]]]],[]]=>[[],[[[[],[[]]]],[]]]=>[[[[],[]],[],[[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[[],[[[[],[]]]]],[]]=>[[],[[[[[],[]]]],[]]]=>[[[[]],[],[],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[],[[[[[]]]]]],[]]=>[[],[[[[[[]]]]],[]]]=>[[[],[],[],[],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,8),(8,7)],9)
[[[[]],[],[],[],[]],[]]=>[[],[[],[],[],[],[[]]]]=>[[[[[[[],[]]]]],[]]]=>([(0,8),(1,7),(2,7),(4,8),(5,4),(6,5),(7,6),(8,3)],9)
[[[[]],[],[],[[]]],[]]=>[[],[[[]],[],[],[[]]]]=>[[[],[[[[],[]]]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(5,6),(6,8),(7,5),(8,4)],9)
[[[[]],[],[[]],[]],[]]=>[[],[[],[[]],[],[[]]]]=>[[[[],[[[],[]]]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(5,8),(6,5),(7,4),(8,7)],9)
[[[[]],[],[[],[]]],[]]=>[[],[[[],[]],[],[[]]]]=>[[[[]],[[[],[]]],[]]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(6,8),(7,6),(8,5)],9)
[[[[]],[],[[[]]]],[]]=>[[],[[[[]]],[],[[]]]]=>[[[],[],[[[],[]]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(6,8),(7,6),(8,5)],9)
[[[[]],[[]],[],[]],[]]=>[[],[[],[],[[]],[[]]]]=>[[[[[],[[],[]]]],[]]]=>([(0,7),(1,8),(2,6),(3,6),(4,8),(6,7),(7,4),(8,5)],9)
[[[[]],[[]],[[]]],[]]=>[[],[[[]],[[]],[[]]]]=>[[[],[[],[[],[]]],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(6,7),(7,8),(8,5)],9)
[[[[]],[[],[]],[]],[]]=>[[],[[],[[],[]],[[]]]]=>[[[[[]],[[],[]]],[]]]=>([(0,7),(1,6),(2,6),(3,5),(5,8),(6,8),(7,4),(8,7)],9)
[[[[]],[[[]]],[]],[]]=>[[],[[],[[[]]],[[]]]]=>[[[[],[],[[],[]]],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(6,8),(7,5),(8,7)],9)
[[[[]],[[],[],[]]],[]]=>[[],[[[],[],[]],[[]]]]=>[[[[[]]],[[],[]],[]]]=>([(0,8),(1,7),(2,7),(3,4),(4,6),(6,8),(7,8),(8,5)],9)
[[[[]],[[],[[]]]],[]]=>[[],[[[[]],[]],[[]]]]=>[[[],[[]],[[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[[[]],[[[]],[]]],[]]=>[[],[[[],[[]]],[[]]]]=>[[[[],[]],[[],[]],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,6),(6,8),(7,8),(8,5)],9)
[[[[]],[[[],[]]]],[]]=>[[],[[[[],[]]],[[]]]]=>[[[[]],[],[[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[[[]],[[[[]]]]],[]]=>[[],[[[[[]]]],[[]]]]=>[[[],[],[],[[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(7,8),(8,6)],9)
[[[[],[]],[],[],[]],[]]=>[[],[[],[],[],[[],[]]]]=>[[[[[[[]],[]]]],[]]]=>([(0,8),(1,7),(2,5),(4,8),(5,7),(6,4),(7,6),(8,3)],9)
[[[[[]]],[],[],[]],[]]=>[[],[[],[],[],[[[]]]]]=>[[[[[[],[],[]]]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(6,7),(7,5),(8,4)],9)
[[[[],[]],[],[[]]],[]]=>[[],[[[]],[],[[],[]]]]=>[[[],[[[[]],[]]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(5,7),(6,8),(7,6),(8,4)],9)
[[[[[]]],[],[[]]],[]]=>[[],[[[]],[],[[[]]]]]=>[[[],[[[],[],[]]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(6,8),(7,6),(8,5)],9)
[[[[],[]],[[]],[]],[]]=>[[],[[],[[]],[[],[]]]]=>[[[[],[[[]],[]]],[]]]=>([(0,7),(1,8),(2,6),(3,5),(5,8),(6,7),(7,4),(8,6)],9)
[[[[[]]],[[]],[]],[]]=>[[],[[],[[]],[[[]]]]]=>[[[[],[[],[],[]]],[]]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(6,7),(7,5),(8,6)],9)
[[[[],[]],[[],[]]],[]]=>[[],[[[],[]],[[],[]]]]=>[[[[]],[[[]],[]],[]]]=>([(0,8),(1,7),(2,4),(3,6),(4,8),(6,7),(7,8),(8,5)],9)
[[[[],[]],[[[]]]],[]]=>[[],[[[[]]],[[],[]]]]=>[[[],[],[[[]],[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(6,7),(7,8),(8,5)],9)
[[[[[]]],[[],[]]],[]]=>[[],[[[],[]],[[[]]]]]=>[[[[]],[[],[],[]],[]]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[[[[]]],[[[]]]],[]]=>[[],[[[[]]],[[[]]]]]=>[[[],[],[[],[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(7,8),(8,6)],9)
[[[[],[],[]],[],[]],[]]=>[[],[[],[],[[],[],[]]]]=>[[[[[[[]]],[]]],[]]]=>([(0,7),(1,8),(2,6),(3,8),(5,7),(6,3),(7,4),(8,5)],9)
[[[[],[[]]],[],[]],[]]=>[[],[[],[],[[[]],[]]]]=>[[[[[],[[]],[]]],[]]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,7),(7,6),(8,5)],9)
[[[[[]],[]],[],[]],[]]=>[[],[[],[],[[],[[]]]]]=>[[[[[[],[]],[]]],[]]]=>([(0,7),(1,8),(2,6),(3,6),(4,8),(6,7),(7,4),(8,5)],9)
[[[[[],[]]],[],[]],[]]=>[[],[[],[],[[[],[]]]]]=>[[[[[[]],[],[]]],[]]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,7),(7,6),(8,5)],9)
[[[[[[]]]],[],[]],[]]=>[[],[[],[],[[[[]]]]]]=>[[[[[],[],[],[]]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(7,6),(8,5)],9)
[[[[],[],[]],[[]]],[]]=>[[],[[[]],[[],[],[]]]]=>[[[],[[[[]]],[]],[]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(6,7),(7,8),(8,5)],9)
[[[[],[[]]],[[]]],[]]=>[[],[[[]],[[[]],[]]]]=>[[[],[[],[[]],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[[[[]],[]],[[]]],[]]=>[[],[[[]],[[],[[]]]]]=>[[[],[[[],[]],[]],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(6,7),(7,8),(8,5)],9)
[[[[[],[]]],[[]]],[]]=>[[],[[[]],[[[],[]]]]]=>[[[],[[[]],[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[[[[[]]]],[[]]],[]]=>[[],[[[]],[[[[]]]]]]=>[[[],[[],[],[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(7,6),(8,7)],9)
[[[[],[],[],[]],[]],[]]=>[[],[[],[[],[],[],[]]]]=>[[[[[[[]]]],[]],[]]]=>([(0,8),(1,7),(2,6),(4,7),(5,4),(6,5),(7,8),(8,3)],9)
[[[[],[],[[]]],[]],[]]=>[[],[[],[[[]],[],[]]]]=>[[[[],[[[]]],[]],[]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(6,8),(7,5),(8,7)],9)
[[[[],[[]],[]],[]],[]]=>[[],[[],[[],[[]],[]]]]=>[[[[[],[[]]],[]],[]]]=>([(0,7),(1,8),(2,6),(3,5),(5,8),(6,7),(7,4),(8,6)],9)
[[[[],[[],[]]],[]],[]]=>[[],[[],[[[],[]],[]]]]=>[[[[[]],[[]],[]],[]]]=>([(0,8),(1,7),(2,5),(3,4),(4,8),(5,8),(7,6),(8,7)],9)
[[[[],[[[]]]],[]],[]]=>[[],[[],[[[[]]],[]]]]=>[[[[],[],[[]],[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[[[[]],[],[]],[]],[]]=>[[],[[],[[],[],[[]]]]]=>[[[[[[],[]]],[]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(5,8),(6,5),(7,4),(8,7)],9)
[[[[[]],[[]]],[]],[]]=>[[],[[],[[[]],[[]]]]]=>[[[[],[[],[]],[]],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(6,8),(7,5),(8,7)],9)
[[[[[],[]],[]],[]],[]]=>[[],[[],[[],[[],[]]]]]=>[[[[[[]],[]],[]],[]]]=>([(0,7),(1,8),(2,6),(3,5),(5,8),(6,7),(7,4),(8,6)],9)
[[[[[[]]],[]],[]],[]]=>[[],[[],[[],[[[]]]]]]=>[[[[[],[],[]],[]],[]]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(6,7),(7,5),(8,6)],9)
[[[[[],[],[]]],[]],[]]=>[[],[[],[[[],[],[]]]]]=>[[[[[[]]],[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(6,8),(7,5),(8,7)],9)
[[[[[],[[]]]],[]],[]]=>[[],[[],[[[[]],[]]]]]=>[[[[],[[]],[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[[[[[]],[]]],[]],[]]=>[[],[[],[[[],[[]]]]]]=>[[[[[],[]],[],[]],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(6,8),(7,5),(8,7)],9)
[[[[[[],[]]]],[]],[]]=>[[],[[],[[[[],[]]]]]]=>[[[[[]],[],[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[[[[[[]]]]],[]],[]]=>[[],[[],[[[[[]]]]]]]=>[[[[],[],[],[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(7,6),(8,7)],9)
[[[[],[],[],[],[]]],[]]=>[[],[[[],[],[],[],[]]]]=>[[[[[[[]]]]],[],[]]]=>([(0,8),(1,8),(2,7),(3,8),(5,6),(6,3),(7,5),(8,4)],9)
[[[[],[],[],[[]]]],[]]=>[[],[[[[]],[],[],[]]]]=>[[[],[[[[]]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(6,7),(7,8),(8,5)],9)
[[[[],[],[[]],[]]],[]]=>[[],[[[],[[]],[],[]]]]=>[[[[],[[[]]]],[],[]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(6,7),(7,8),(8,5)],9)
[[[[],[],[[],[]]]],[]]=>[[],[[[[],[]],[],[]]]]=>[[[[]],[[[]]],[],[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,7),(5,8),(7,8),(8,6)],9)
[[[[],[],[[[]]]]],[]]=>[[],[[[[[]]],[],[]]]]=>[[[],[],[[[]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(7,8),(8,6)],9)
[[[[],[[]],[],[]]],[]]=>[[],[[[],[],[[]],[]]]]=>[[[[[],[[]]]],[],[]]]=>([(0,8),(1,8),(2,7),(3,5),(5,7),(6,8),(7,6),(8,4)],9)
[[[[],[[]],[[]]]],[]]=>[[],[[[[]],[[]],[]]]]=>[[[],[[],[[]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(6,7),(7,8),(8,5)],9)
[[[[],[[],[]],[]]],[]]=>[[],[[[],[[],[]],[]]]]=>[[[[[]],[[]]],[],[]]]=>([(0,8),(1,8),(2,6),(3,5),(5,7),(6,7),(7,8),(8,4)],9)
[[[[],[[[]]],[]]],[]]=>[[],[[[],[[[]]],[]]]]=>[[[[],[],[[]]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[[[],[[],[],[]]]],[]]=>[[],[[[[],[],[]],[]]]]=>[[[[[]]],[[]],[],[]]]=>([(0,8),(1,8),(2,4),(3,5),(4,7),(5,8),(7,8),(8,6)],9)
[[[[],[[],[[]]]]],[]]=>[[],[[[[[]],[]],[]]]]=>[[[],[[]],[[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[[],[[[]],[]]]],[]]=>[[],[[[[],[[]]],[]]]]=>[[[[],[]],[[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[[[],[[[],[]]]]],[]]=>[[],[[[[[],[]]],[]]]]=>[[[[]],[],[[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[[],[[[[]]]]]],[]]=>[[],[[[[[[]]]],[]]]]=>[[[],[],[],[[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,8),(8,7)],9)
[[[[[]],[],[],[]]],[]]=>[[],[[[],[],[],[[]]]]]=>[[[[[[],[]]]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(5,6),(6,8),(7,5),(8,4)],9)
[[[[[]],[],[[]]]],[]]=>[[],[[[[]],[],[[]]]]]=>[[[],[[[],[]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(6,8),(7,6),(8,5)],9)
[[[[[]],[[]],[]]],[]]=>[[],[[[],[[]],[[]]]]]=>[[[[],[[],[]]],[],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(6,7),(7,8),(8,5)],9)
[[[[[]],[[],[]]]],[]]=>[[],[[[[],[]],[[]]]]]=>[[[[]],[[],[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,8),(8,6)],9)
[[[[[]],[[[]]]]],[]]=>[[],[[[[[]]],[[]]]]]=>[[[],[],[[],[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(7,8),(8,6)],9)
[[[[[],[]],[],[]]],[]]=>[[],[[[],[],[[],[]]]]]=>[[[[[[]],[]]],[],[]]]=>([(0,8),(1,8),(2,7),(3,5),(5,7),(6,8),(7,6),(8,4)],9)
[[[[[[]]],[],[]]],[]]=>[[],[[[],[],[[[]]]]]]=>[[[[[],[],[]]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(6,8),(7,6),(8,5)],9)
[[[[[],[]],[[]]]],[]]=>[[],[[[[]],[[],[]]]]]=>[[[],[[[]],[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(6,7),(7,8),(8,5)],9)
[[[[[[]]],[[]]]],[]]=>[[],[[[[]],[[[]]]]]]=>[[[],[[],[],[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(7,8),(8,6)],9)
[[[[[],[],[]],[]]],[]]=>[[],[[[],[[],[],[]]]]]=>[[[[[[]]],[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(6,7),(7,8),(8,5)],9)
[[[[[],[[]]],[]]],[]]=>[[],[[[],[[[]],[]]]]]=>[[[[],[[]],[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[[[[[]],[]],[]]],[]]=>[[],[[[],[[],[[]]]]]]=>[[[[[],[]],[]],[],[]]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(6,7),(7,8),(8,5)],9)
[[[[[[],[]]],[]]],[]]=>[[],[[[],[[[],[]]]]]]=>[[[[[]],[],[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[[[[[[]]]],[]]],[]]=>[[],[[[],[[[[]]]]]]]=>[[[[],[],[],[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(7,6),(8,7)],9)
[[[[[],[],[],[]]]],[]]=>[[],[[[[],[],[],[]]]]]=>[[[[[[]]]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(6,7),(7,8),(8,5)],9)
[[[[[],[],[[]]]]],[]]=>[[],[[[[[]],[],[]]]]]=>[[[],[[[]]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(7,8),(8,6)],9)
[[[[[],[[]],[]]]],[]]=>[[],[[[[],[[]],[]]]]]=>[[[[],[[]]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(6,7),(7,8),(8,5)],9)
[[[[[],[[],[]]]]],[]]=>[[],[[[[[],[]],[]]]]]=>[[[[]],[[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[[[],[[[]]]]]],[]]=>[[],[[[[[[]]],[]]]]]=>[[[],[],[[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,8),(8,7)],9)
[[[[[[]],[],[]]]],[]]=>[[],[[[[],[],[[]]]]]]=>[[[[[],[]]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(6,8),(7,6),(8,5)],9)
[[[[[[]],[[]]]]],[]]=>[[],[[[[[]],[[]]]]]]=>[[[],[[],[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(7,8),(8,6)],9)
[[[[[[],[]],[]]]],[]]=>[[],[[[[],[[],[]]]]]]=>[[[[[]],[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(6,7),(7,8),(8,5)],9)
[[[[[[[]]],[]]]],[]]=>[[],[[[[],[[[]]]]]]]=>[[[[],[],[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(7,8),(8,6)],9)
[[[[[[],[],[]]]]],[]]=>[[],[[[[[],[],[]]]]]]=>[[[[[]]],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(7,8),(8,6)],9)
[[[[[[],[[]]]]]],[]]=>[[],[[[[[[]],[]]]]]]=>[[[],[[]],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,8),(8,7)],9)
[[[[[[[]],[]]]]],[]]=>[[],[[[[[],[[]]]]]]]=>[[[[],[]],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(7,8),(8,6)],9)
[[[[[[[],[]]]]]],[]]=>[[],[[[[[[],[]]]]]]]=>[[[[]],[],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,8),(8,7)],9)
[[[[[[[[]]]]]]],[]]=>[[],[[[[[[[]]]]]]]]=>[[[],[],[],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(8,7)],9)
[[[],[],[],[],[],[],[]]]=>[[[],[],[],[],[],[],[]]]=>[[[[[[[[]]]]]]],[]]=>([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9)
[[[],[],[],[],[],[[]]]]=>[[[[]],[],[],[],[],[]]]=>[[],[[[[[[]]]]]],[]]=>([(0,8),(1,8),(2,7),(3,8),(4,6),(5,4),(6,3),(7,5)],9)
[[[],[],[],[],[[]],[]]]=>[[[],[[]],[],[],[],[]]]=>[[[],[[[[[]]]]]],[]]=>([(0,8),(1,7),(2,6),(3,7),(4,5),(5,3),(6,4),(7,8)],9)
[[[],[],[],[],[[],[]]]]=>[[[[],[]],[],[],[],[]]]=>[[[]],[[[[[]]]]],[]]=>([(0,8),(1,7),(2,4),(3,8),(4,8),(5,6),(6,3),(7,5)],9)
[[[],[],[],[],[[[]]]]]=>[[[[[]]],[],[],[],[]]]=>[[],[],[[[[[]]]]],[]]=>([(0,4),(1,8),(2,8),(3,8),(4,7),(5,8),(6,5),(7,6)],9)
[[[],[],[],[[]],[],[]]]=>[[[],[],[[]],[],[],[]]]=>[[[[],[[[[]]]]]],[]]=>([(0,8),(1,7),(2,6),(3,8),(4,7),(5,3),(6,5),(8,4)],9)
[[[],[],[],[[]],[[]]]]=>[[[[]],[[]],[],[],[]]]=>[[],[[],[[[[]]]]],[]]=>([(0,4),(1,8),(2,8),(3,7),(4,6),(5,7),(6,5),(7,8)],9)
[[[],[],[],[[],[]],[]]]=>[[[],[[],[]],[],[],[]]]=>[[[[]],[[[[]]]]],[]]=>([(0,8),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5),(7,8)],9)
[[[],[],[],[[[]]],[]]]=>[[[],[[[]]],[],[],[]]]=>[[[],[],[[[[]]]]],[]]=>([(0,4),(1,8),(2,8),(3,7),(4,6),(5,8),(6,5),(8,7)],9)
[[[],[],[],[[],[],[]]]]=>[[[[],[],[]],[],[],[]]]=>[[[[]]],[[[[]]]],[]]=>([(0,8),(1,6),(2,7),(3,8),(4,8),(5,4),(6,5),(7,3)],9)
[[[],[],[],[[],[[]]]]]=>[[[[[]],[]],[],[],[]]]=>[[],[[]],[[[[]]]],[]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[],[],[[[]],[]]]]=>[[[[],[[]]],[],[],[]]]=>[[[],[]],[[[[]]]],[]]=>([(0,4),(1,8),(2,7),(3,7),(4,6),(5,8),(6,5),(7,8)],9)
[[[],[],[],[[[],[]]]]]=>[[[[[],[]]],[],[],[]]]=>[[[]],[],[[[[]]]],[]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[],[],[[[[]]]]]]=>[[[[[[]]]],[],[],[]]]=>[[],[],[],[[[[]]]],[]]=>([(0,5),(1,8),(2,8),(3,8),(4,8),(5,7),(6,8),(7,6)],9)
[[[],[],[[]],[],[],[]]]=>[[[],[],[],[[]],[],[]]]=>[[[[[],[[[]]]]]],[]]=>([(0,7),(1,8),(2,5),(3,7),(4,8),(5,4),(6,3),(8,6)],9)
[[[],[],[[]],[],[[]]]]=>[[[[]],[],[[]],[],[]]]=>[[],[[[],[[[]]]]],[]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(5,8),(6,7),(7,5)],9)
[[[],[],[[]],[[]],[]]]=>[[[],[[]],[[]],[],[]]]=>[[[],[[],[[[]]]]],[]]=>([(0,6),(1,7),(2,8),(3,4),(4,5),(5,6),(6,8),(8,7)],9)
[[[],[],[[]],[[],[]]]]=>[[[[],[]],[[]],[],[]]]=>[[[]],[[],[[[]]]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[],[[]],[[[]]]]]=>[[[[[]]],[[]],[],[]]]=>[[],[],[[],[[[]]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[[],[],[[],[]],[],[]]]=>[[[],[],[[],[]],[],[]]]=>[[[[[]],[[[]]]]],[]]=>([(0,7),(1,5),(2,6),(3,8),(4,7),(5,8),(6,3),(8,4)],9)
[[[],[],[[[]]],[],[]]]=>[[[],[],[[[]]],[],[]]]=>[[[[],[],[[[]]]]],[]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(5,7),(6,8),(8,5)],9)
[[[],[],[[],[]],[[]]]]=>[[[[]],[[],[]],[],[]]]=>[[],[[[]],[[[]]]],[]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,7),(6,7),(7,8)],9)
[[[],[],[[[]]],[[]]]]=>[[[[]],[[[]]],[],[]]]=>[[],[[],[],[[[]]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[[],[],[[],[],[]],[]]]=>[[[],[[],[],[]],[],[]]]=>[[[[[]]],[[[]]]],[]]=>([(0,8),(1,6),(2,5),(3,7),(4,7),(5,3),(6,4),(7,8)],9)
[[[],[],[[],[[]]],[]]]=>[[[],[[[]],[]],[],[]]]=>[[[],[[]],[[[]]]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(8,7)],9)
[[[],[],[[[]],[]],[]]]=>[[[],[[],[[]]],[],[]]]=>[[[[],[]],[[[]]]],[]]=>([(0,6),(1,6),(2,7),(3,4),(4,5),(5,8),(6,8),(8,7)],9)
[[[],[],[[[],[]]],[]]]=>[[[],[[[],[]]],[],[]]]=>[[[[]],[],[[[]]]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(8,7)],9)
[[[],[],[[[[]]]],[]]]=>[[[],[[[[]]]],[],[]]]=>[[[],[],[],[[[]]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,8),(8,7)],9)
[[[],[],[[],[],[],[]]]]=>[[[[],[],[],[]],[],[]]]=>[[[[[]]]],[[[]]],[]]=>([(0,8),(1,6),(2,7),(3,8),(4,8),(5,4),(6,5),(7,3)],9)
[[[],[],[[],[],[[]]]]]=>[[[[[]],[],[]],[],[]]]=>[[],[[[]]],[[[]]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[[[],[],[[],[[]],[]]]]=>[[[[],[[]],[]],[],[]]]=>[[[],[[]]],[[[]]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[],[],[[],[[],[]]]]]=>[[[[[],[]],[]],[],[]]]=>[[[]],[[]],[[[]]],[]]=>([(0,8),(1,6),(2,5),(3,4),(4,7),(5,8),(6,8),(7,8)],9)
[[[],[],[[],[[[]]]]]]=>[[[[[[]]],[]],[],[]]]=>[[],[],[[]],[[[]]],[]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[],[],[[[]],[],[]]]]=>[[[[],[],[[]]],[],[]]]=>[[[[],[]]],[[[]]],[]]=>([(0,8),(1,7),(2,7),(3,4),(4,6),(5,8),(6,8),(7,5)],9)
[[[],[],[[[]],[[]]]]]=>[[[[[]],[[]]],[],[]]]=>[[],[[],[]],[[[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[[],[],[[[],[]],[]]]]=>[[[[],[[],[]]],[],[]]]=>[[[[]],[]],[[[]]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[],[],[[[[]]],[]]]]=>[[[[],[[[]]]],[],[]]]=>[[[],[],[]],[[[]]],[]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[[],[],[[[],[],[]]]]]=>[[[[[],[],[]]],[],[]]]=>[[[[]]],[],[[[]]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[[[],[],[[[],[[]]]]]]=>[[[[[[]],[]]],[],[]]]=>[[],[[]],[],[[[]]],[]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[],[],[[[[]],[]]]]]=>[[[[[],[[]]]],[],[]]]=>[[[],[]],[],[[[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[[],[],[[[[],[]]]]]]=>[[[[[[],[]]]],[],[]]]=>[[[]],[],[],[[[]]],[]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[],[],[[[[[]]]]]]]=>[[[[[[[]]]]],[],[]]]=>[[],[],[],[],[[[]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[[[],[[]],[],[],[],[]]]=>[[[],[],[],[],[[]],[]]]=>[[[[[[],[[]]]]]],[]]=>([(0,7),(1,8),(2,4),(3,7),(4,8),(5,3),(6,5),(8,6)],9)
[[[],[[]],[],[],[[]]]]=>[[[[]],[],[],[[]],[]]]=>[[],[[[[],[[]]]]],[]]=>([(0,8),(1,8),(2,7),(3,4),(4,7),(5,6),(6,8),(7,5)],9)
[[[],[[]],[],[[]],[]]]=>[[[],[[]],[],[[]],[]]]=>[[[],[[[],[[]]]]],[]]=>([(0,8),(1,6),(2,7),(3,4),(4,8),(5,7),(7,6),(8,5)],9)
[[[],[[]],[],[[],[]]]]=>[[[[],[]],[],[[]],[]]]=>[[[]],[[[],[[]]]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,8),(5,7),(6,8),(7,6)],9)
[[[],[[]],[],[[[]]]]]=>[[[[[]]],[],[[]],[]]]=>[[],[],[[[],[[]]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,8),(7,6)],9)
[[[],[[]],[[]],[],[]]]=>[[[],[],[[]],[[]],[]]]=>[[[[],[[],[[]]]]],[]]=>([(0,6),(1,7),(2,8),(3,4),(4,8),(5,7),(6,5),(8,6)],9)
[[[],[[]],[[]],[[]]]]=>[[[[]],[[]],[[]],[]]]=>[[],[[],[[],[[]]]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(6,8),(7,6)],9)
[[[],[[]],[[],[]],[]]]=>[[[],[[],[]],[[]],[]]]=>[[[[]],[[],[[]]]],[]]=>([(0,6),(1,7),(2,4),(3,5),(4,8),(5,7),(7,8),(8,6)],9)
[[[],[[]],[[[]]],[]]]=>[[[],[[[]]],[[]],[]]]=>[[[],[],[[],[[]]]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(7,8),(8,6)],9)
[[[],[[]],[[],[],[]]]]=>[[[[],[],[]],[[]],[]]]=>[[[[]]],[[],[[]]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[],[[]],[[],[[]]]]]=>[[[[[]],[]],[[]],[]]]=>[[],[[]],[[],[[]]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[]],[[[]],[]]]]=>[[[[],[[]]],[[]],[]]]=>[[[],[]],[[],[[]]],[]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[[[],[[]],[[[],[]]]]]=>[[[[[],[]]],[[]],[]]]=>[[[]],[],[[],[[]]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[]],[[[[]]]]]]=>[[[[[[]]]],[[]],[]]]=>[[],[],[],[[],[[]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[[[],[[],[]],[],[],[]]]=>[[[],[],[],[[],[]],[]]]=>[[[[[[]],[[]]]]],[]]=>([(0,8),(1,5),(2,4),(3,8),(4,7),(5,7),(6,3),(7,6)],9)
[[[],[[[]]],[],[],[]]]=>[[[],[],[],[[[]]],[]]]=>[[[[[],[],[[]]]]],[]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,6),(6,7),(8,5)],9)
[[[],[[],[]],[],[[]]]]=>[[[[]],[],[[],[]],[]]]=>[[],[[[[]],[[]]]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,7),(5,7),(6,8),(7,6)],9)
[[[],[[[]]],[],[[]]]]=>[[[[]],[],[[[]]],[]]]=>[[],[[[],[],[[]]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[[],[[],[]],[[]],[]]]=>[[[],[[]],[[],[]],[]]]=>[[[],[[[]],[[]]]],[]]=>([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[[],[[[]]],[[]],[]]]=>[[[],[[]],[[[]]],[]]]=>[[[],[[],[],[[]]]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(8,6)],9)
[[[],[[],[]],[[],[]]]]=>[[[[],[]],[[],[]],[]]]=>[[[]],[[[]],[[]]],[]]=>([(0,8),(1,6),(2,5),(3,4),(4,8),(5,7),(6,7),(7,8)],9)
[[[],[[],[]],[[[]]]]]=>[[[[[]]],[[],[]],[]]]=>[[],[],[[[]],[[]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[[[],[[[]]],[[],[]]]]=>[[[[],[]],[[[]]],[]]]=>[[[]],[[],[],[[]]],[]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[[]]],[[[]]]]]=>[[[[[]]],[[[]]],[]]]=>[[],[],[[],[],[[]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(7,8)],9)
[[[],[[],[],[]],[],[]]]=>[[[],[],[[],[],[]],[]]]=>[[[[[[]]],[[]]]],[]]=>([(0,7),(1,5),(2,6),(3,8),(4,7),(5,8),(6,3),(8,4)],9)
[[[],[[],[[]]],[],[]]]=>[[[],[],[[[]],[]],[]]]=>[[[[],[[]],[[]]]],[]]=>([(0,8),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[[],[[[]],[]],[],[]]]=>[[[],[],[[],[[]]],[]]]=>[[[[[],[]],[[]]]],[]]=>([(0,6),(1,6),(2,7),(3,4),(4,8),(5,7),(6,8),(8,5)],9)
[[[],[[[],[]]],[],[]]]=>[[[],[],[[[],[]]],[]]]=>[[[[[]],[],[[]]]],[]]=>([(0,8),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[[],[[[[]]]],[],[]]]=>[[[],[],[[[[]]]],[]]]=>[[[[],[],[],[[]]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[[],[[],[],[]],[[]]]]=>[[[[]],[[],[],[]],[]]]=>[[],[[[[]]],[[]]],[]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,7),(6,7),(7,8)],9)
[[[],[[],[[]]],[[]]]]=>[[[[]],[[[]],[]],[]]]=>[[],[[],[[]],[[]]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[],[[[]],[]],[[]]]]=>[[[[]],[[],[[]]],[]]]=>[[],[[[],[]],[[]]],[]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[[[],[[[],[]]],[[]]]]=>[[[[]],[[[],[]]],[]]]=>[[],[[[]],[],[[]]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[],[[[[]]]],[[]]]]=>[[[[]],[[[[]]]],[]]]=>[[],[[],[],[],[[]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(8,7)],9)
[[[],[[],[],[],[]],[]]]=>[[[],[[],[],[],[]],[]]]=>[[[[[[]]]],[[]]],[]]=>([(0,8),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5),(7,8)],9)
[[[],[[],[],[[]]],[]]]=>[[[],[[[]],[],[]],[]]]=>[[[],[[[]]],[[]]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(8,7)],9)
[[[],[[],[[]],[]],[]]]=>[[[],[[],[[]],[]],[]]]=>[[[[],[[]]],[[]]],[]]=>([(0,6),(1,7),(2,4),(3,5),(4,8),(5,7),(7,8),(8,6)],9)
[[[],[[],[[],[]]],[]]]=>[[[],[[[],[]],[]],[]]]=>[[[[]],[[]],[[]]],[]]=>([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(8,7)],9)
[[[],[[],[[[]]]],[]]]=>[[[],[[[[]]],[]],[]]]=>[[[],[],[[]],[[]]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[],[[[]],[],[]],[]]]=>[[[],[[],[],[[]]],[]]]=>[[[[[],[]]],[[]]],[]]=>([(0,7),(1,7),(2,6),(3,5),(4,8),(5,8),(7,4),(8,6)],9)
[[[],[[[]],[[]]],[]]]=>[[[],[[[]],[[]]],[]]]=>[[[],[[],[]],[[]]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,8),(8,7)],9)
[[[],[[[],[]],[]],[]]]=>[[[],[[],[[],[]]],[]]]=>[[[[[]],[]],[[]]],[]]=>([(0,6),(1,7),(2,4),(3,5),(4,8),(5,7),(7,8),(8,6)],9)
[[[],[[[[]]],[]],[]]]=>[[[],[[],[[[]]]],[]]]=>[[[[],[],[]],[[]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(7,6),(8,7)],9)
[[[],[[[],[],[]]],[]]]=>[[[],[[[],[],[]]],[]]]=>[[[[[]]],[],[[]]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(8,7)],9)
[[[],[[[],[[]]]],[]]]=>[[[],[[[[]],[]]],[]]]=>[[[],[[]],[],[[]]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[],[[[[]],[]]],[]]]=>[[[],[[[],[[]]]],[]]]=>[[[[],[]],[],[[]]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,8),(8,7)],9)
[[[],[[[[],[]]]],[]]]=>[[[],[[[[],[]]]],[]]]=>[[[[]],[],[],[[]]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[],[[[[[]]]]],[]]]=>[[[],[[[[[]]]]],[]]]=>[[[],[],[],[],[[]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(8,7)],9)
[[[],[[],[],[],[],[]]]]=>[[[[],[],[],[],[]],[]]]=>[[[[[[]]]]],[[]],[]]=>([(0,8),(1,7),(2,4),(3,8),(4,8),(5,6),(6,3),(7,5)],9)
[[[],[[],[],[],[[]]]]]=>[[[[[]],[],[],[]],[]]]=>[[],[[[[]]]],[[]],[]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[],[],[[]],[]]]]=>[[[[],[[]],[],[]],[]]]=>[[[],[[[]]]],[[]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[],[],[[],[]]]]]=>[[[[[],[]],[],[]],[]]]=>[[[]],[[[]]],[[]],[]]=>([(0,8),(1,6),(2,5),(3,4),(4,7),(5,8),(6,8),(7,8)],9)
[[[],[[],[],[[[]]]]]]=>[[[[[[]]],[],[]],[]]]=>[[],[],[[[]]],[[]],[]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[],[[],[[]],[],[]]]]=>[[[[],[],[[]],[]],[]]]=>[[[[],[[]]]],[[]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,8),(5,7),(6,8),(7,6)],9)
[[[],[[],[[]],[[]]]]]=>[[[[[]],[[]],[]],[]]]=>[[],[[],[[]]],[[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[],[[],[]],[]]]]=>[[[[],[[],[]],[]],[]]]=>[[[[]],[[]]],[[]],[]]=>([(0,8),(1,6),(2,5),(3,4),(4,8),(5,7),(6,7),(7,8)],9)
[[[],[[],[[[]]],[]]]]=>[[[[],[[[]]],[]],[]]]=>[[[],[],[[]]],[[]],[]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[],[[],[],[]]]]]=>[[[[[],[],[]],[]],[]]]=>[[[[]]],[[]],[[]],[]]=>([(0,8),(1,6),(2,5),(3,4),(4,7),(5,8),(6,8),(7,8)],9)
[[[],[[],[[],[[]]]]]]=>[[[[[[]],[]],[]],[]]]=>[[],[[]],[[]],[[]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[[],[[],[[[]],[]]]]]=>[[[[[],[[]]],[]],[]]]=>[[[],[]],[[]],[[]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[[],[[],[[[],[]]]]]]=>[[[[[[],[]]],[]],[]]]=>[[[]],[],[[]],[[]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[[],[[],[[[[]]]]]]]=>[[[[[[[]]]],[]],[]]]=>[[],[],[],[[]],[[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[[[],[[[]],[],[],[]]]]=>[[[[],[],[],[[]]],[]]]=>[[[[[],[]]]],[[]],[]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(5,6),(6,8),(7,5)],9)
[[[],[[[]],[],[[]]]]]=>[[[[[]],[],[[]]],[]]]=>[[],[[[],[]]],[[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[[],[[[]],[[]],[]]]]=>[[[[],[[]],[[]]],[]]]=>[[[],[[],[]]],[[]],[]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[[[],[[[]],[[],[]]]]]=>[[[[[],[]],[[]]],[]]]=>[[[]],[[],[]],[[]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[[],[[[]],[[[]]]]]]=>[[[[[[]]],[[]]],[]]]=>[[],[],[[],[]],[[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[],[[[],[]],[],[]]]]=>[[[[],[],[[],[]]],[]]]=>[[[[[]],[]]],[[]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,8),(5,7),(6,8),(7,6)],9)
[[[],[[[[]]],[],[]]]]=>[[[[],[],[[[]]]],[]]]=>[[[[],[],[]]],[[]],[]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[[],[[[],[]],[[]]]]]=>[[[[[]],[[],[]]],[]]]=>[[],[[[]],[]],[[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[[[]]],[[]]]]]=>[[[[[]],[[[]]]],[]]]=>[[],[[],[],[]],[[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[],[[[],[],[]],[]]]]=>[[[[],[[],[],[]]],[]]]=>[[[[[]]],[]],[[]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[[],[[]]],[]]]]=>[[[[],[[[]],[]]],[]]]=>[[[],[[]],[]],[[]],[]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[[[]],[]],[]]]]=>[[[[],[[],[[]]]],[]]]=>[[[[],[]],[]],[[]],[]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[[[],[[[[],[]]],[]]]]=>[[[[],[[[],[]]]],[]]]=>[[[[]],[],[]],[[]],[]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[[[[]]]],[]]]]=>[[[[],[[[[]]]]],[]]]=>[[[],[],[],[]],[[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(8,7)],9)
[[[],[[[],[],[],[]]]]]=>[[[[[],[],[],[]]],[]]]=>[[[[[]]]],[],[[]],[]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[[],[],[[]]]]]]=>[[[[[[]],[],[]]],[]]]=>[[],[[[]]],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[],[[[],[[]],[]]]]]=>[[[[[],[[]],[]]],[]]]=>[[[],[[]]],[],[[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[[],[[],[]]]]]]=>[[[[[[],[]],[]]],[]]]=>[[[]],[[]],[],[[]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[[],[[[],[[[]]]]]]]=>[[[[[[[]]],[]]],[]]]=>[[],[],[[]],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[[[],[[[[]],[],[]]]]]=>[[[[[],[],[[]]]],[]]]=>[[[[],[]]],[],[[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[[],[[[[]],[[]]]]]]=>[[[[[[]],[[]]]],[]]]=>[[],[[],[]],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[],[[[[],[]],[]]]]]=>[[[[[],[[],[]]]],[]]]=>[[[[]],[]],[],[[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[],[[[[[]]],[]]]]]=>[[[[[],[[[]]]]],[]]]=>[[[],[],[]],[],[[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[],[[[[],[],[]]]]]]=>[[[[[[],[],[]]]],[]]]=>[[[[]]],[],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[],[[[[],[[]]]]]]]=>[[[[[[[]],[]]]],[]]]=>[[],[[]],[],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[[[],[[[[[]],[]]]]]]=>[[[[[[],[[]]]]],[]]]=>[[[],[]],[],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[],[[[[[],[]]]]]]]=>[[[[[[[],[]]]]],[]]]=>[[[]],[],[],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[[[],[[[[[[]]]]]]]]=>[[[[[[[[]]]]]],[]]]=>[[],[],[],[],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[[[]],[],[],[],[],[]]]=>[[[],[],[],[],[],[[]]]]=>[[[[[[[],[]]]]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,4),(6,3),(8,5)],9)
[[[[]],[],[],[],[[]]]]=>[[[[]],[],[],[],[[]]]]=>[[],[[[[[],[]]]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,8),(6,5),(7,4)],9)
[[[[]],[],[],[[]],[]]]=>[[[],[[]],[],[],[[]]]]=>[[[],[[[[],[]]]]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,6),(6,7),(8,4)],9)
[[[[]],[],[],[[],[]]]]=>[[[[],[]],[],[],[[]]]]=>[[[]],[[[[],[]]]],[]]=>([(0,8),(1,7),(2,7),(3,4),(4,8),(5,6),(6,8),(7,5)],9)
[[[[]],[],[],[[[]]]]]=>[[[[[]]],[],[],[[]]]]=>[[],[],[[[[],[]]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,5)],9)
[[[[]],[],[[]],[],[]]]=>[[[],[],[[]],[],[[]]]]=>[[[[],[[[],[]]]]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,8),(5,7),(6,4),(8,5)],9)
[[[[]],[],[[]],[[]]]]=>[[[[]],[[]],[],[[]]]]=>[[],[[],[[[],[]]]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,7),(6,5),(7,8)],9)
[[[[]],[],[[],[]],[]]]=>[[[],[[],[]],[],[[]]]]=>[[[[]],[[[],[]]]],[]]=>([(0,7),(1,7),(2,6),(3,5),(4,8),(5,8),(7,4),(8,6)],9)
[[[[]],[],[[[]]],[]]]=>[[[],[[[]]],[],[[]]]]=>[[[],[],[[[],[]]]],[]]=>([(0,7),(1,7),(2,8),(3,8),(4,6),(5,8),(7,5),(8,6)],9)
[[[[]],[],[[],[],[]]]]=>[[[[],[],[]],[],[[]]]]=>[[[[]]],[[[],[]]],[]]=>([(0,8),(1,7),(2,7),(3,4),(4,6),(5,8),(6,8),(7,5)],9)
[[[[]],[],[[],[[]]]]]=>[[[[[]],[]],[],[[]]]]=>[[],[[]],[[[],[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[[[]],[],[[[]],[]]]]=>[[[[],[[]]],[],[[]]]]=>[[[],[]],[[[],[]]],[]]=>([(0,7),(1,7),(2,8),(3,6),(4,6),(5,8),(6,8),(7,5)],9)
[[[[]],[],[[[],[]]]]]=>[[[[[],[]]],[],[[]]]]=>[[[]],[],[[[],[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[[[]],[],[[[[]]]]]]=>[[[[[[]]]],[],[[]]]]=>[[],[],[],[[[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,8),(7,6)],9)
[[[[]],[[]],[],[],[]]]=>[[[],[],[],[[]],[[]]]]=>[[[[[],[[],[]]]]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,7),(6,8),(8,4)],9)
[[[[]],[[]],[],[[]]]]=>[[[[]],[],[[]],[[]]]]=>[[],[[[],[[],[]]]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,8),(6,7),(7,5)],9)
[[[[]],[[]],[[]],[]]]=>[[[],[[]],[[]],[[]]]]=>[[[],[[],[[],[]]]],[]]=>([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)
[[[[]],[[]],[[],[]]]]=>[[[[],[]],[[]],[[]]]]=>[[[]],[[],[[],[]]],[]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[[[[]],[[]],[[[]]]]]=>[[[[[]]],[[]],[[]]]]=>[[],[],[[],[[],[]]],[]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,6),(6,7),(7,8)],9)
[[[[]],[[],[]],[],[]]]=>[[[],[],[[],[]],[[]]]]=>[[[[[]],[[],[]]]],[]]=>([(0,6),(1,6),(2,7),(3,4),(4,8),(5,7),(6,8),(8,5)],9)
[[[[]],[[[]]],[],[]]]=>[[[],[],[[[]]],[[]]]]=>[[[[],[],[[],[]]]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,5)],9)
[[[[]],[[],[]],[[]]]]=>[[[[]],[[],[]],[[]]]]=>[[],[[[]],[[],[]]],[]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[[[[]],[[[]]],[[]]]]=>[[[[]],[[[]]],[[]]]]=>[[],[[],[],[[],[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(8,7)],9)
[[[[]],[[],[],[]],[]]]=>[[[],[[],[],[]],[[]]]]=>[[[[[]]],[[],[]]],[]]=>([(0,6),(1,6),(2,7),(3,4),(4,5),(5,8),(6,8),(8,7)],9)
[[[[]],[[],[[]]],[]]]=>[[[],[[[]],[]],[[]]]]=>[[[],[[]],[[],[]]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,8),(8,7)],9)
[[[[]],[[[]],[]],[]]]=>[[[],[[],[[]]],[[]]]]=>[[[[],[]],[[],[]]],[]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(5,8),(6,8),(8,7)],9)
[[[[]],[[[],[]]],[]]]=>[[[],[[[],[]]],[[]]]]=>[[[[]],[],[[],[]]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,8),(8,7)],9)
[[[[]],[[[[]]]],[]]]=>[[[],[[[[]]]],[[]]]]=>[[[],[],[],[[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,7)],9)
[[[[]],[[],[],[],[]]]]=>[[[[],[],[],[]],[[]]]]=>[[[[[]]]],[[],[]],[]]=>([(0,4),(1,8),(2,7),(3,7),(4,6),(5,8),(6,5),(7,8)],9)
[[[[]],[[],[],[[]]]]]=>[[[[[]],[],[]],[[]]]]=>[[],[[[]]],[[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[[[]],[[],[[]],[]]]]=>[[[[],[[]],[]],[[]]]]=>[[[],[[]]],[[],[]],[]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[[[[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[]]]]=>[[[]],[[]],[[],[]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[[[]],[[],[[[]]]]]]=>[[[[[[]]],[]],[[]]]]=>[[],[],[[]],[[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[]],[[[]],[],[]]]]=>[[[[],[],[[]]],[[]]]]=>[[[[],[]]],[[],[]],[]]=>([(0,7),(1,7),(2,8),(3,6),(4,6),(5,8),(6,8),(7,5)],9)
[[[[]],[[[]],[[]]]]]=>[[[[[]],[[]]],[[]]]]=>[[],[[],[]],[[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[[[[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[]]]]=>[[[[]],[]],[[],[]],[]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[[[[]],[[[[]]],[]]]]=>[[[[],[[[]]]],[[]]]]=>[[[],[],[]],[[],[]],[]]=>([(0,8),(1,7),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[[[[]],[[[],[],[]]]]]=>[[[[[],[],[]]],[[]]]]=>[[[[]]],[],[[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[[[]],[[[],[[]]]]]]=>[[[[[[]],[]]],[[]]]]=>[[],[[]],[],[[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[]],[[[[]],[]]]]]=>[[[[[],[[]]]],[[]]]]=>[[[],[]],[],[[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[[[[]],[[[[],[]]]]]]=>[[[[[[],[]]]],[[]]]]=>[[[]],[],[],[[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[]],[[[[[]]]]]]]=>[[[[[[[]]]]],[[]]]]=>[[],[],[],[],[[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[[[],[]],[],[],[],[]]]=>[[[],[],[],[],[[],[]]]]=>[[[[[[[]],[]]]]],[]]=>([(0,7),(1,8),(2,4),(3,7),(4,8),(5,3),(6,5),(8,6)],9)
[[[[[]]],[],[],[],[]]]=>[[[],[],[],[],[[[]]]]]=>[[[[[[],[],[]]]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,6),(5,7),(6,5),(8,4)],9)
[[[[],[]],[],[],[[]]]]=>[[[[]],[],[],[[],[]]]]=>[[],[[[[[]],[]]]],[]]=>([(0,8),(1,8),(2,7),(3,4),(4,7),(5,6),(6,8),(7,5)],9)
[[[[[]]],[],[],[[]]]]=>[[[[]],[],[],[[[]]]]]=>[[],[[[[],[],[]]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(8,5)],9)
[[[[],[]],[],[[]],[]]]=>[[[],[[]],[],[[],[]]]]=>[[[],[[[[]],[]]]],[]]=>([(0,8),(1,6),(2,7),(3,4),(4,8),(5,7),(7,6),(8,5)],9)
[[[[[]]],[],[[]],[]]]=>[[[],[[]],[],[[[]]]]]=>[[[],[[[],[],[]]]],[]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,7),(7,6),(8,5)],9)
[[[[],[]],[],[[],[]]]]=>[[[[],[]],[],[[],[]]]]=>[[[]],[[[[]],[]]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,8),(5,7),(6,8),(7,6)],9)
[[[[],[]],[],[[[]]]]]=>[[[[[]]],[],[[],[]]]]=>[[],[],[[[[]],[]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,8),(7,6)],9)
[[[[[]]],[],[[],[]]]]=>[[[[],[]],[],[[[]]]]]=>[[[]],[[[],[],[]]],[]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[[[[]]],[],[[[]]]]]=>[[[[[]]],[],[[[]]]]]=>[[],[],[[[],[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,8),(7,6)],9)
[[[[],[]],[[]],[],[]]]=>[[[],[],[[]],[[],[]]]]=>[[[[],[[[]],[]]]],[]]=>([(0,6),(1,7),(2,8),(3,4),(4,8),(5,7),(6,5),(8,6)],9)
[[[[[]]],[[]],[],[]]]=>[[[],[],[[]],[[[]]]]]=>[[[[],[[],[],[]]]],[]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,7),(6,5),(8,6)],9)
[[[[],[]],[[]],[[]]]]=>[[[[]],[[]],[[],[]]]]=>[[],[[],[[[]],[]]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(6,8),(7,6)],9)
[[[[[]]],[[]],[[]]]]=>[[[[]],[[]],[[[]]]]]=>[[],[[],[[],[],[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,6)],9)
[[[[],[]],[[],[]],[]]]=>[[[],[[],[]],[[],[]]]]=>[[[[]],[[[]],[]]],[]]=>([(0,6),(1,7),(2,4),(3,5),(4,8),(5,7),(7,8),(8,6)],9)
[[[[],[]],[[[]]],[]]]=>[[[],[[[]]],[[],[]]]]=>[[[],[],[[[]],[]]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(7,8),(8,6)],9)
[[[[[]]],[[],[]],[]]]=>[[[],[[],[]],[[[]]]]]=>[[[[]],[[],[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(7,6),(8,7)],9)
[[[[[]]],[[[]]],[]]]=>[[[],[[[]]],[[[]]]]]=>[[[],[],[[],[],[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(7,8),(8,6)],9)
[[[[],[]],[[],[],[]]]]=>[[[[],[],[]],[[],[]]]]=>[[[[]]],[[[]],[]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[[],[]],[[],[[]]]]]=>[[[[[]],[]],[[],[]]]]=>[[],[[]],[[[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[[],[]],[[[]],[]]]]=>[[[[],[[]]],[[],[]]]]=>[[[],[]],[[[]],[]],[]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,7),(6,8),(7,8)],9)
[[[[],[]],[[[],[]]]]]=>[[[[[],[]]],[[],[]]]]=>[[[]],[],[[[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[[],[]],[[[[]]]]]]=>[[[[[[]]]],[[],[]]]]=>[[],[],[],[[[]],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[[[[[]]],[[],[],[]]]]=>[[[[],[],[]],[[[]]]]]=>[[[[]]],[[],[],[]],[]]=>([(0,8),(1,7),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[[[[]]],[[],[[]]]]]=>[[[[[]],[]],[[[]]]]]=>[[],[[]],[[],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[[]]],[[[]],[]]]]=>[[[[],[[]]],[[[]]]]]=>[[[],[]],[[],[],[]],[]]=>([(0,8),(1,7),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[[[[[]]],[[[],[]]]]]=>[[[[[],[]]],[[[]]]]]=>[[[]],[],[[],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[[]]],[[[[]]]]]]=>[[[[[[]]]],[[[]]]]]=>[[],[],[],[[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[[[[],[],[]],[],[],[]]]=>[[[],[],[],[[],[],[]]]]=>[[[[[[[]]],[]]]],[]]=>([(0,7),(1,8),(2,5),(3,7),(4,8),(5,4),(6,3),(8,6)],9)
[[[[],[[]]],[],[],[]]]=>[[[],[],[],[[[]],[]]]]=>[[[[[],[[]],[]]]],[]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,6),(6,7),(8,5)],9)
[[[[[]],[]],[],[],[]]]=>[[[],[],[],[[],[[]]]]]=>[[[[[[],[]],[]]]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,7),(6,8),(8,4)],9)
[[[[[],[]]],[],[],[]]]=>[[[],[],[],[[[],[]]]]]=>[[[[[[]],[],[]]]],[]]=>([(0,8),(1,8),(2,7),(3,4),(4,8),(5,6),(6,7),(8,5)],9)
[[[[[[]]]],[],[],[]]]=>[[[],[],[],[[[[]]]]]]=>[[[[[],[],[],[]]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(8,5)],9)
[[[[],[],[]],[],[[]]]]=>[[[[]],[],[[],[],[]]]]=>[[],[[[[[]]],[]]],[]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(5,8),(6,7),(7,5)],9)
[[[[],[[]]],[],[[]]]]=>[[[[]],[],[[[]],[]]]]=>[[],[[[],[[]],[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[]],[]],[],[[]]]]=>[[[[]],[],[[],[[]]]]]=>[[],[[[[],[]],[]]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,8),(6,7),(7,5)],9)
[[[[[],[]]],[],[[]]]]=>[[[[]],[],[[[],[]]]]]=>[[],[[[[]],[],[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[[]]]],[],[[]]]]=>[[[[]],[],[[[[]]]]]]=>[[],[[[],[],[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(8,6)],9)
[[[[],[],[]],[[]],[]]]=>[[[],[[]],[[],[],[]]]]=>[[[],[[[[]]],[]]],[]]=>([(0,6),(1,7),(2,8),(3,4),(4,5),(5,6),(6,8),(8,7)],9)
[[[[],[[]]],[[]],[]]]=>[[[],[[]],[[[]],[]]]]=>[[[],[[],[[]],[]]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[]],[]],[[]],[]]]=>[[[],[[]],[[],[[]]]]]=>[[[],[[[],[]],[]]],[]]=>([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)
[[[[[],[]]],[[]],[]]]=>[[[],[[]],[[[],[]]]]]=>[[[],[[[]],[],[]]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[[]]]],[[]],[]]]=>[[[],[[]],[[[[]]]]]]=>[[[],[[],[],[],[]]],[]]=>([(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(8,6)],9)
[[[[],[],[]],[[],[]]]]=>[[[[],[]],[[],[],[]]]]=>[[[]],[[[[]]],[]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[[],[],[]],[[[]]]]]=>[[[[[]]],[[],[],[]]]]=>[[],[],[[[[]]],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[[[],[[]]],[[],[]]]]=>[[[[],[]],[[[]],[]]]]=>[[[]],[[],[[]],[]],[]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[[],[[]]],[[[]]]]]=>[[[[[]]],[[[]],[]]]]=>[[],[],[[],[[]],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(7,8)],9)
[[[[[]],[]],[[],[]]]]=>[[[[],[]],[[],[[]]]]]=>[[[]],[[[],[]],[]],[]]=>([(0,7),(1,8),(2,6),(3,6),(4,5),(5,8),(6,7),(7,8)],9)
[[[[[]],[]],[[[]]]]]=>[[[[[]]],[[],[[]]]]]=>[[],[],[[[],[]],[]],[]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,6),(6,7),(7,8)],9)
[[[[[],[]]],[[],[]]]]=>[[[[],[]],[[[],[]]]]]=>[[[]],[[[]],[],[]],[]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[[[],[]]],[[[]]]]]=>[[[[[]]],[[[],[]]]]]=>[[],[],[[[]],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(7,8)],9)
[[[[[[]]]],[[],[]]]]=>[[[[],[]],[[[[]]]]]]=>[[[]],[[],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(8,7)],9)
[[[[[[]]]],[[[]]]]]=>[[[[[]]],[[[[]]]]]]=>[[],[],[[],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(7,8)],9)
[[[[],[],[],[]],[],[]]]=>[[[],[],[[],[],[],[]]]]=>[[[[[[[]]]],[]]],[]]=>([(0,8),(1,7),(2,6),(3,8),(4,7),(5,3),(6,5),(8,4)],9)
[[[[],[],[[]]],[],[]]]=>[[[],[],[[[]],[],[]]]]=>[[[[],[[[]]],[]]],[]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(5,7),(6,8),(8,5)],9)
[[[[],[[]],[]],[],[]]]=>[[[],[],[[],[[]],[]]]]=>[[[[[],[[]]],[]]],[]]=>([(0,6),(1,7),(2,8),(3,4),(4,8),(5,7),(6,5),(8,6)],9)
[[[[],[[],[]]],[],[]]]=>[[[],[],[[[],[]],[]]]]=>[[[[[]],[[]],[]]],[]]=>([(0,8),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[[[],[[[]]]],[],[]]]=>[[[],[],[[[[]]],[]]]]=>[[[[],[],[[]],[]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[]],[],[]],[],[]]]=>[[[],[],[[],[],[[]]]]]=>[[[[[[],[]]],[]]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,8),(5,7),(6,4),(8,5)],9)
[[[[[]],[[]]],[],[]]]=>[[[],[],[[[]],[[]]]]]=>[[[[],[[],[]],[]]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,5)],9)
[[[[[],[]],[]],[],[]]]=>[[[],[],[[],[[],[]]]]]=>[[[[[[]],[]],[]]],[]]=>([(0,6),(1,7),(2,8),(3,4),(4,8),(5,7),(6,5),(8,6)],9)
[[[[[[]]],[]],[],[]]]=>[[[],[],[[],[[[]]]]]]=>[[[[[],[],[]],[]]],[]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,7),(6,5),(8,6)],9)
[[[[[],[],[]]],[],[]]]=>[[[],[],[[[],[],[]]]]]=>[[[[[[]]],[],[]]],[]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(5,7),(6,8),(8,5)],9)
[[[[[],[[]]]],[],[]]]=>[[[],[],[[[[]],[]]]]]=>[[[[],[[]],[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[[]],[]]],[],[]]]=>[[[],[],[[[],[[]]]]]]=>[[[[[],[]],[],[]]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,5)],9)
[[[[[[],[]]]],[],[]]]=>[[[],[],[[[[],[]]]]]]=>[[[[[]],[],[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[[[]]]]],[],[]]]=>[[[],[],[[[[[]]]]]]]=>[[[[],[],[],[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(8,6)],9)
[[[[],[],[],[]],[[]]]]=>[[[[]],[[],[],[],[]]]]=>[[],[[[[[]]]],[]],[]]=>([(0,4),(1,8),(2,8),(3,7),(4,6),(5,7),(6,5),(7,8)],9)
[[[[],[],[[]]],[[]]]]=>[[[[]],[[[]],[],[]]]]=>[[],[[],[[[]]],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[[[],[[]],[]],[[]]]]=>[[[[]],[[],[[]],[]]]]=>[[],[[[],[[]]],[]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(6,8),(7,6)],9)
[[[[],[[],[]]],[[]]]]=>[[[[]],[[[],[]],[]]]]=>[[],[[[]],[[]],[]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[[],[[[]]]],[[]]]]=>[[[[]],[[[[]]],[]]]]=>[[],[[],[],[[]],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(8,7)],9)
[[[[[]],[],[]],[[]]]]=>[[[[]],[[],[],[[]]]]]=>[[],[[[[],[]]],[]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,7),(6,5),(7,8)],9)
[[[[[]],[[]]],[[]]]]=>[[[[]],[[[]],[[]]]]]=>[[],[[],[[],[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(8,7)],9)
[[[[[],[]],[]],[[]]]]=>[[[[]],[[],[[],[]]]]]=>[[],[[[[]],[]],[]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(6,8),(7,6)],9)
[[[[[[]]],[]],[[]]]]=>[[[[]],[[],[[[]]]]]]=>[[],[[[],[],[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,6)],9)
[[[[[],[],[]]],[[]]]]=>[[[[]],[[[],[],[]]]]]=>[[],[[[[]]],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[[[[],[[]]]],[[]]]]=>[[[[]],[[[[]],[]]]]]=>[[],[[],[[]],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(8,7)],9)
[[[[[[]],[]]],[[]]]]=>[[[[]],[[[],[[]]]]]]=>[[],[[[],[]],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(8,7)],9)
[[[[[[],[]]]],[[]]]]=>[[[[]],[[[[],[]]]]]]=>[[],[[[]],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(8,7)],9)
[[[[[[[]]]]],[[]]]]=>[[[[]],[[[[[]]]]]]]=>[[],[[],[],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(8,7)],9)
[[[[],[],[],[],[]],[]]]=>[[[],[[],[],[],[],[]]]]=>[[[[[[[]]]]],[]],[]]=>([(0,8),(1,7),(2,6),(3,7),(4,5),(5,3),(6,4),(7,8)],9)
[[[[],[],[],[[]]],[]]]=>[[[],[[[]],[],[],[]]]]=>[[[],[[[[]]]],[]],[]]=>([(0,4),(1,8),(2,8),(3,7),(4,6),(5,8),(6,5),(8,7)],9)
[[[[],[],[[]],[]],[]]]=>[[[],[[],[[]],[],[]]]]=>[[[[],[[[]]]],[]],[]]=>([(0,6),(1,7),(2,8),(3,4),(4,5),(5,6),(6,8),(8,7)],9)
[[[[],[],[[],[]]],[]]]=>[[[],[[[],[]],[],[]]]]=>[[[[]],[[[]]],[]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(8,7)],9)
[[[[],[],[[[]]]],[]]]=>[[[],[[[[]]],[],[]]]]=>[[[],[],[[[]]],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,8),(8,7)],9)
[[[[],[[]],[],[]],[]]]=>[[[],[[],[],[[]],[]]]]=>[[[[[],[[]]]],[]],[]]=>([(0,8),(1,6),(2,7),(3,4),(4,8),(5,7),(7,6),(8,5)],9)
[[[[],[[]],[[]]],[]]]=>[[[],[[[]],[[]],[]]]]=>[[[],[[],[[]]],[]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(7,8),(8,6)],9)
[[[[],[[],[]],[]],[]]]=>[[[],[[],[[],[]],[]]]]=>[[[[[]],[[]]],[]],[]]=>([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,7),(8,6)],9)
[[[[],[[[]]],[]],[]]]=>[[[],[[],[[[]]],[]]]]=>[[[[],[],[[]]],[]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(8,6)],9)
[[[[],[[],[],[]]],[]]]=>[[[],[[[],[],[]],[]]]]=>[[[[[]]],[[]],[]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,6),(5,8),(6,8),(8,7)],9)
[[[[],[[],[[]]]],[]]]=>[[[],[[[[]],[]],[]]]]=>[[[],[[]],[[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[[],[[[]],[]]],[]]]=>[[[],[[[],[[]]],[]]]]=>[[[[],[]],[[]],[]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,8),(8,7)],9)
[[[[],[[[],[]]]],[]]]=>[[[],[[[[],[]]],[]]]]=>[[[[]],[],[[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[[],[[[[]]]]],[]]]=>[[[],[[[[[]]]],[]]]]=>[[[],[],[],[[]],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(8,7)],9)
[[[[[]],[],[],[]],[]]]=>[[[],[[],[],[],[[]]]]]=>[[[[[[],[]]]],[]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,6),(6,7),(8,4)],9)
[[[[[]],[],[[]]],[]]]=>[[[],[[[]],[],[[]]]]]=>[[[],[[[],[]]],[]],[]]=>([(0,7),(1,7),(2,8),(3,8),(4,6),(5,8),(7,5),(8,6)],9)
[[[[[]],[[]],[]],[]]]=>[[[],[[],[[]],[[]]]]]=>[[[[],[[],[]]],[]],[]]=>([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)
[[[[[]],[[],[]]],[]]]=>[[[],[[[],[]],[[]]]]]=>[[[[]],[[],[]],[]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,8),(8,7)],9)
[[[[[]],[[[]]]],[]]]=>[[[],[[[[]]],[[]]]]]=>[[[],[],[[],[]],[]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,7)],9)
[[[[[],[]],[],[]],[]]]=>[[[],[[],[],[[],[]]]]]=>[[[[[[]],[]]],[]],[]]=>([(0,8),(1,6),(2,7),(3,4),(4,8),(5,7),(7,6),(8,5)],9)
[[[[[[]]],[],[]],[]]]=>[[[],[[],[],[[[]]]]]]=>[[[[[],[],[]]],[]],[]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,7),(7,6),(8,5)],9)
[[[[[],[]],[[]]],[]]]=>[[[],[[[]],[[],[]]]]]=>[[[],[[[]],[]],[]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(7,8),(8,6)],9)
[[[[[[]]],[[]]],[]]]=>[[[],[[[]],[[[]]]]]]=>[[[],[[],[],[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(7,8),(8,6)],9)
[[[[[],[],[]],[]],[]]]=>[[[],[[],[[],[],[]]]]]=>[[[[[[]]],[]],[]],[]]=>([(0,6),(1,7),(2,8),(3,4),(4,5),(5,6),(6,8),(8,7)],9)
[[[[[],[[]]],[]],[]]]=>[[[],[[],[[[]],[]]]]]=>[[[[],[[]],[]],[]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[[]],[]],[]],[]]]=>[[[],[[],[[],[[]]]]]]=>[[[[[],[]],[]],[]],[]]=>([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)
[[[[[[],[]]],[]],[]]]=>[[[],[[],[[[],[]]]]]]=>[[[[[]],[],[]],[]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[[[]]]],[]],[]]]=>[[[],[[],[[[[]]]]]]]=>[[[[],[],[],[]],[]],[]]=>([(0,7),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(8,6)],9)
[[[[[],[],[],[]]],[]]]=>[[[],[[[],[],[],[]]]]]=>[[[[[[]]]],[],[]],[]]=>([(0,4),(1,8),(2,8),(3,7),(4,6),(5,8),(6,5),(8,7)],9)
[[[[[],[],[[]]]],[]]]=>[[[],[[[[]],[],[]]]]]=>[[[],[[[]]],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,8),(8,7)],9)
[[[[[],[[]],[]]],[]]]=>[[[],[[[],[[]],[]]]]]=>[[[[],[[]]],[],[]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(7,8),(8,6)],9)
[[[[[],[[],[]]]],[]]]=>[[[],[[[[],[]],[]]]]]=>[[[[]],[[]],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[[[],[[[]]]]],[]]]=>[[[],[[[[[]]],[]]]]]=>[[[],[],[[]],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(8,7)],9)
[[[[[[]],[],[]]],[]]]=>[[[],[[[],[],[[]]]]]]=>[[[[[],[]]],[],[]],[]]=>([(0,7),(1,7),(2,8),(3,8),(4,6),(5,8),(7,5),(8,6)],9)
[[[[[[]],[[]]]],[]]]=>[[[],[[[[]],[[]]]]]]=>[[[],[[],[]],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,7)],9)
[[[[[[],[]],[]]],[]]]=>[[[],[[[],[[],[]]]]]]=>[[[[[]],[]],[],[]],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(7,8),(8,6)],9)
[[[[[[[]]],[]]],[]]]=>[[[],[[[],[[[]]]]]]]=>[[[[],[],[]],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(7,8),(8,6)],9)
[[[[[[],[],[]]]],[]]]=>[[[],[[[[],[],[]]]]]]=>[[[[[]]],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,8),(8,7)],9)
[[[[[[],[[]]]]],[]]]=>[[[],[[[[[]],[]]]]]]=>[[[],[[]],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(8,7)],9)
[[[[[[[]],[]]]],[]]]=>[[[],[[[[],[[]]]]]]]=>[[[[],[]],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,8),(8,7)],9)
[[[[[[[],[]]]]],[]]]=>[[[],[[[[[],[]]]]]]]=>[[[[]],[],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(8,7)],9)
[[[[[[[[]]]]]],[]]]=>[[[],[[[[[[]]]]]]]]=>[[[],[],[],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)
[[[[],[],[],[],[],[]]]]=>[[[[],[],[],[],[],[]]]]=>[[[[[[[]]]]]],[],[]]=>([(0,8),(1,8),(2,7),(3,8),(4,6),(5,4),(6,3),(7,5)],9)
[[[[],[],[],[],[[]]]]]=>[[[[[]],[],[],[],[]]]]=>[[],[[[[[]]]]],[],[]]=>([(0,4),(1,8),(2,8),(3,8),(4,7),(5,8),(6,5),(7,6)],9)
[[[[],[],[],[[]],[]]]]=>[[[[],[[]],[],[],[]]]]=>[[[],[[[[]]]]],[],[]]=>([(0,4),(1,8),(2,8),(3,7),(4,6),(5,7),(6,5),(7,8)],9)
[[[[],[],[],[[],[]]]]]=>[[[[[],[]],[],[],[]]]]=>[[[]],[[[[]]]],[],[]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[[],[],[],[[[]]]]]]=>[[[[[[]]],[],[],[]]]]=>[[],[],[[[[]]]],[],[]]=>([(0,5),(1,8),(2,8),(3,8),(4,8),(5,7),(6,8),(7,6)],9)
[[[[],[],[[]],[],[]]]]=>[[[[],[],[[]],[],[]]]]=>[[[[],[[[]]]]],[],[]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(5,8),(6,7),(7,5)],9)
[[[[],[],[[]],[[]]]]]=>[[[[[]],[[]],[],[]]]]=>[[],[[],[[[]]]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[[[],[],[[],[]],[]]]]=>[[[[],[[],[]],[],[]]]]=>[[[[]],[[[]]]],[],[]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,7),(6,7),(7,8)],9)
[[[[],[],[[[]]],[]]]]=>[[[[],[[[]]],[],[]]]]=>[[[],[],[[[]]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[[[],[],[[],[],[]]]]]=>[[[[[],[],[]],[],[]]]]=>[[[[]]],[[[]]],[],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9)
[[[[],[],[[],[[]]]]]]=>[[[[[[]],[]],[],[]]]]=>[[],[[]],[[[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[[],[],[[[]],[]]]]]=>[[[[[],[[]]],[],[]]]]=>[[[],[]],[[[]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[[[],[],[[[],[]]]]]]=>[[[[[[],[]]],[],[]]]]=>[[[]],[],[[[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[[],[],[[[[]]]]]]]=>[[[[[[[]]]],[],[]]]]=>[[],[],[],[[[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[[[[],[[]],[],[],[]]]]=>[[[[],[],[],[[]],[]]]]=>[[[[[],[[]]]]],[],[]]=>([(0,8),(1,8),(2,7),(3,4),(4,7),(5,6),(6,8),(7,5)],9)
[[[[],[[]],[],[[]]]]]=>[[[[[]],[],[[]],[]]]]=>[[],[[[],[[]]]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,8),(7,6)],9)
[[[[],[[]],[[]],[]]]]=>[[[[],[[]],[[]],[]]]]=>[[[],[[],[[]]]],[],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(6,8),(7,6)],9)
[[[[],[[]],[[],[]]]]]=>[[[[[],[]],[[]],[]]]]=>[[[]],[[],[[]]],[],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[[],[[]],[[[]]]]]]=>[[[[[[]]],[[]],[]]]]=>[[],[],[[],[[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[[[[],[[],[]],[],[]]]]=>[[[[],[],[[],[]],[]]]]=>[[[[[]],[[]]]],[],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,7),(5,7),(6,8),(7,6)],9)
[[[[],[[[]]],[],[]]]]=>[[[[],[],[[[]]],[]]]]=>[[[[],[],[[]]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[[[],[[],[]],[[]]]]]=>[[[[[]],[[],[]],[]]]]=>[[],[[[]],[[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[[[[],[[[]]],[[]]]]]=>[[[[[]],[[[]]],[]]]]=>[[],[[],[],[[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(7,8)],9)
[[[[],[[],[],[]],[]]]]=>[[[[],[[],[],[]],[]]]]=>[[[[[]]],[[]]],[],[]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,7),(6,7),(7,8)],9)
[[[[],[[],[[]]],[]]]]=>[[[[],[[[]],[]],[]]]]=>[[[],[[]],[[]]],[],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[[],[[[]],[]],[]]]]=>[[[[],[[],[[]]],[]]]]=>[[[[],[]],[[]]],[],[]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[[[[],[[[],[]]],[]]]]=>[[[[],[[[],[]]],[]]]]=>[[[[]],[],[[]]],[],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[[],[[[[]]]],[]]]]=>[[[[],[[[[]]]],[]]]]=>[[[],[],[],[[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(8,7)],9)
[[[[],[[],[],[],[]]]]]=>[[[[[],[],[],[]],[]]]]=>[[[[[]]]],[[]],[],[]]=>([(0,8),(1,8),(2,4),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[[],[[],[],[[]]]]]]=>[[[[[[]],[],[]],[]]]]=>[[],[[[]]],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[[],[[],[[]],[]]]]]=>[[[[[],[[]],[]],[]]]]=>[[[],[[]]],[[]],[],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[[],[[],[[],[]]]]]]=>[[[[[[],[]],[]],[]]]]=>[[[]],[[]],[[]],[],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9)
[[[[],[[],[[[]]]]]]]=>[[[[[[[]]],[]],[]]]]=>[[],[],[[]],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[[[[],[[[]],[],[]]]]]=>[[[[[],[],[[]]],[]]]]=>[[[[],[]]],[[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[[[],[[[]],[[]]]]]]=>[[[[[[]],[[]]],[]]]]=>[[],[[],[]],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[],[[[],[]],[]]]]]=>[[[[[],[[],[]]],[]]]]=>[[[[]],[]],[[]],[],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[[],[[[[]]],[]]]]]=>[[[[[],[[[]]]],[]]]]=>[[[],[],[]],[[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[],[[[],[],[]]]]]]=>[[[[[[],[],[]]],[]]]]=>[[[[]]],[],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[[],[[[],[[]]]]]]]=>[[[[[[[]],[]]],[]]]]=>[[],[[]],[],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[[[[],[[[[]],[]]]]]]=>[[[[[[],[[]]]],[]]]]=>[[[],[]],[],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[],[[[[],[]]]]]]]=>[[[[[[[],[]]]],[]]]]=>[[[]],[],[],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[[[[],[[[[[]]]]]]]]=>[[[[[[[[]]]]],[]]]]=>[[],[],[],[],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[[[[]],[],[],[],[]]]]=>[[[[],[],[],[],[[]]]]]=>[[[[[[],[]]]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,8),(6,5),(7,4)],9)
[[[[[]],[],[],[[]]]]]=>[[[[[]],[],[],[[]]]]]=>[[],[[[[],[]]]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,5)],9)
[[[[[]],[],[[]],[]]]]=>[[[[],[[]],[],[[]]]]]=>[[[],[[[],[]]]],[],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,7),(6,5),(7,8)],9)
[[[[[]],[],[[],[]]]]]=>[[[[[],[]],[],[[]]]]]=>[[[]],[[[],[]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,8),(7,6)],9)
[[[[[]],[],[[[]]]]]]=>[[[[[[]]],[],[[]]]]]=>[[],[],[[[],[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,8),(7,6)],9)
[[[[[]],[[]],[],[]]]]=>[[[[],[],[[]],[[]]]]]=>[[[[],[[],[]]]],[],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,8),(6,7),(7,5)],9)
[[[[[]],[[]],[[]]]]]=>[[[[[]],[[]],[[]]]]]=>[[],[[],[[],[]]],[],[]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,6),(6,7),(7,8)],9)
[[[[[]],[[],[]],[]]]]=>[[[[],[[],[]],[[]]]]]=>[[[[]],[[],[]]],[],[]]=>([(0,8),(1,8),(2,6),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[[[[[]],[[[]]],[]]]]=>[[[[],[[[]]],[[]]]]]=>[[[],[],[[],[]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(8,7)],9)
[[[[[]],[[],[],[]]]]]=>[[[[[],[],[]],[[]]]]]=>[[[[]]],[[],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9)
[[[[[]],[[],[[]]]]]]=>[[[[[[]],[]],[[]]]]]=>[[],[[]],[[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[[]],[[[]],[]]]]]=>[[[[[],[[]]],[[]]]]]=>[[[],[]],[[],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9)
[[[[[]],[[[],[]]]]]]=>[[[[[[],[]]],[[]]]]]=>[[[]],[],[[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[[]],[[[[]]]]]]]=>[[[[[[[]]]],[[]]]]]=>[[],[],[],[[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[[[[],[]],[],[],[]]]]=>[[[[],[],[],[[],[]]]]]=>[[[[[[]],[]]]],[],[]]=>([(0,8),(1,8),(2,7),(3,4),(4,7),(5,6),(6,8),(7,5)],9)
[[[[[[]]],[],[],[]]]]=>[[[[],[],[],[[[]]]]]]=>[[[[[],[],[]]]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(8,5)],9)
[[[[[],[]],[],[[]]]]]=>[[[[[]],[],[[],[]]]]]=>[[],[[[[]],[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,8),(7,6)],9)
[[[[[[]]],[],[[]]]]]=>[[[[[]],[],[[[]]]]]]=>[[],[[[],[],[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,8),(7,6)],9)
[[[[[],[]],[[]],[]]]]=>[[[[],[[]],[[],[]]]]]=>[[[],[[[]],[]]],[],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(6,8),(7,6)],9)
[[[[[[]]],[[]],[]]]]=>[[[[],[[]],[[[]]]]]]=>[[[],[[],[],[]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,6)],9)
[[[[[],[]],[[],[]]]]]=>[[[[[],[]],[[],[]]]]]=>[[[]],[[[]],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9)
[[[[[],[]],[[[]]]]]]=>[[[[[[]]],[[],[]]]]]=>[[],[],[[[]],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[[[[[[]]],[[],[]]]]]=>[[[[[],[]],[[[]]]]]]=>[[[]],[[],[],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[[[]]],[[[]]]]]]=>[[[[[[]]],[[[]]]]]]=>[[],[],[[],[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[[[[[],[],[]],[],[]]]]=>[[[[],[],[[],[],[]]]]]=>[[[[[[]]],[]]],[],[]]=>([(0,8),(1,8),(2,7),(3,4),(4,6),(5,8),(6,7),(7,5)],9)
[[[[[],[[]]],[],[]]]]=>[[[[],[],[[[]],[]]]]]=>[[[[],[[]],[]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[[]],[]],[],[]]]]=>[[[[],[],[[],[[]]]]]]=>[[[[[],[]],[]]],[],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,8),(6,7),(7,5)],9)
[[[[[[],[]]],[],[]]]]=>[[[[],[],[[[],[]]]]]]=>[[[[[]],[],[]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[[[]]]],[],[]]]]=>[[[[],[],[[[[]]]]]]]=>[[[[],[],[],[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(8,6)],9)
[[[[[],[],[]],[[]]]]]=>[[[[[]],[[],[],[]]]]]=>[[],[[[[]]],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[[[[],[[]]],[[]]]]]=>[[[[[]],[[[]],[]]]]]=>[[],[[],[[]],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(7,8)],9)
[[[[[[]],[]],[[]]]]]=>[[[[[]],[[],[[]]]]]]=>[[],[[[],[]],[]],[],[]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,6),(6,7),(7,8)],9)
[[[[[[],[]]],[[]]]]]=>[[[[[]],[[[],[]]]]]]=>[[],[[[]],[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(7,8)],9)
[[[[[[[]]]],[[]]]]]=>[[[[[]],[[[[]]]]]]]=>[[],[[],[],[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(7,8)],9)
[[[[[],[],[],[]],[]]]]=>[[[[],[[],[],[],[]]]]]=>[[[[[[]]]],[]],[],[]]=>([(0,4),(1,8),(2,8),(3,7),(4,6),(5,7),(6,5),(7,8)],9)
[[[[[],[],[[]]],[]]]]=>[[[[],[[[]],[],[]]]]]=>[[[],[[[]]],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[[[[],[[]],[]],[]]]]=>[[[[],[[],[[]],[]]]]]=>[[[[],[[]]],[]],[],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(6,8),(7,6)],9)
[[[[[],[[],[]]],[]]]]=>[[[[],[[[],[]],[]]]]]=>[[[[]],[[]],[]],[],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(8,7)],9)
[[[[[],[[[]]]],[]]]]=>[[[[],[[[[]]],[]]]]]=>[[[],[],[[]],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(8,7)],9)
[[[[[[]],[],[]],[]]]]=>[[[[],[[],[],[[]]]]]]=>[[[[[],[]]],[]],[],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,6),(5,7),(6,5),(7,8)],9)
[[[[[[]],[[]]],[]]]]=>[[[[],[[[]],[[]]]]]]=>[[[],[[],[]],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(8,7)],9)
[[[[[[],[]],[]],[]]]]=>[[[[],[[],[[],[]]]]]]=>[[[[[]],[]],[]],[],[]]=>([(0,7),(1,8),(2,8),(3,6),(4,5),(5,7),(6,8),(7,6)],9)
[[[[[[[]]],[]],[]]]]=>[[[[],[[],[[[]]]]]]]=>[[[[],[],[]],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,6)],9)
[[[[[[],[],[]]],[]]]]=>[[[[],[[[],[],[]]]]]]=>[[[[[]]],[],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[[[[[],[[]]]],[]]]]=>[[[[],[[[[]],[]]]]]]=>[[[],[[]],[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(8,7)],9)
[[[[[[[]],[]]],[]]]]=>[[[[],[[[],[[]]]]]]]=>[[[[],[]],[],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(8,7)],9)
[[[[[[[],[]]]],[]]]]=>[[[[],[[[[],[]]]]]]]=>[[[[]],[],[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(8,7)],9)
[[[[[[[[]]]]],[]]]]=>[[[[],[[[[[]]]]]]]]=>[[[],[],[],[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(8,7)],9)
[[[[[],[],[],[],[]]]]]=>[[[[[],[],[],[],[]]]]]=>[[[[[[]]]]],[],[],[]]=>([(0,4),(1,8),(2,8),(3,8),(4,7),(5,8),(6,5),(7,6)],9)
[[[[[],[],[],[[]]]]]]=>[[[[[[]],[],[],[]]]]]=>[[],[[[[]]]],[],[],[]]=>([(0,5),(1,8),(2,8),(3,8),(4,8),(5,7),(6,8),(7,6)],9)
[[[[[],[],[[]],[]]]]]=>[[[[[],[[]],[],[]]]]]=>[[[],[[[]]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[[[[],[],[[],[]]]]]]=>[[[[[[],[]],[],[]]]]]=>[[[]],[[[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[[[],[],[[[]]]]]]]=>[[[[[[[]]],[],[]]]]]=>[[],[],[[[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[[[[[],[[]],[],[]]]]]=>[[[[[],[],[[]],[]]]]]=>[[[[],[[]]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,8),(7,6)],9)
[[[[[],[[]],[[]]]]]]=>[[[[[[]],[[]],[]]]]]=>[[],[[],[[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[[[[[],[[],[]],[]]]]]=>[[[[[],[[],[]],[]]]]]=>[[[[]],[[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9)
[[[[[],[[[]]],[]]]]]=>[[[[[],[[[]]],[]]]]]=>[[[],[],[[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(7,8)],9)
[[[[[],[[],[],[]]]]]]=>[[[[[[],[],[]],[]]]]]=>[[[[]]],[[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,5),(4,6),(5,7),(6,8),(7,8)],9)
[[[[[],[[],[[]]]]]]]=>[[[[[[[]],[]],[]]]]]=>[[],[[]],[[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[[[[[],[[[]],[]]]]]]=>[[[[[[],[[]]],[]]]]]=>[[[],[]],[[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[[],[[[],[]]]]]]]=>[[[[[[[],[]]],[]]]]]=>[[[]],[],[[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[[[[[],[[[[]]]]]]]]=>[[[[[[[[]]]],[]]]]]=>[[],[],[],[[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[[[[[]],[],[],[]]]]]=>[[[[[],[],[],[[]]]]]]=>[[[[[],[]]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,5)],9)
[[[[[[]],[],[[]]]]]]=>[[[[[[]],[],[[]]]]]]=>[[],[[[],[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,8),(7,6)],9)
[[[[[[]],[[]],[]]]]]=>[[[[[],[[]],[[]]]]]]=>[[[],[[],[]]],[],[],[]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,6),(6,7),(7,8)],9)
[[[[[[]],[[],[]]]]]]=>[[[[[[],[]],[[]]]]]]=>[[[]],[[],[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9)
[[[[[[]],[[[]]]]]]]=>[[[[[[[]]],[[]]]]]]=>[[],[],[[],[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[[[[[],[]],[],[]]]]]=>[[[[[],[],[[],[]]]]]]=>[[[[[]],[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,8),(7,6)],9)
[[[[[[[]]],[],[]]]]]=>[[[[[],[],[[[]]]]]]]=>[[[[],[],[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,8),(7,6)],9)
[[[[[[],[]],[[]]]]]]=>[[[[[[]],[[],[]]]]]]=>[[],[[[]],[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[[[[[[[]]],[[]]]]]]=>[[[[[[]],[[[]]]]]]]=>[[],[[],[],[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[[[[[[],[],[]],[]]]]]=>[[[[[],[[],[],[]]]]]]=>[[[[[]]],[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9)
[[[[[[],[[]]],[]]]]]=>[[[[[],[[[]],[]]]]]]=>[[[],[[]],[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(7,8)],9)
[[[[[[[]],[]],[]]]]]=>[[[[[],[[],[[]]]]]]]=>[[[[],[]],[]],[],[],[]]=>([(0,7),(1,8),(2,8),(3,8),(4,6),(5,6),(6,7),(7,8)],9)
[[[[[[[],[]]],[]]]]]=>[[[[[],[[[],[]]]]]]]=>[[[[]],[],[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,7),(7,8)],9)
[[[[[[[[]]]],[]]]]]=>[[[[[],[[[[]]]]]]]]=>[[[],[],[],[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(7,8)],9)
[[[[[[],[],[],[]]]]]]=>[[[[[[],[],[],[]]]]]]=>[[[[[]]]],[],[],[],[]]=>([(0,5),(1,8),(2,8),(3,8),(4,8),(5,7),(6,8),(7,6)],9)
[[[[[[],[],[[]]]]]]]=>[[[[[[[]],[],[]]]]]]=>[[],[[[]]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[[[[[[],[[]],[]]]]]]=>[[[[[[],[[]],[]]]]]]=>[[[],[[]]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[[[[[[],[[],[]]]]]]]=>[[[[[[[],[]],[]]]]]]=>[[[]],[[]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9)
[[[[[[],[[[]]]]]]]]=>[[[[[[[[]]],[]]]]]]=>[[],[],[[]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[[[[[[]],[],[]]]]]]=>[[[[[[],[],[[]]]]]]]=>[[[[],[]]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,8),(7,6)],9)
[[[[[[[]],[[]]]]]]]=>[[[[[[[]],[[]]]]]]]=>[[],[[],[]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[[[[[[],[]],[]]]]]]=>[[[[[[],[[],[]]]]]]]=>[[[[]],[]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9)
[[[[[[[[]]],[]]]]]]=>[[[[[[],[[[]]]]]]]]=>[[[],[],[]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[[[[[[[],[],[]]]]]]]=>[[[[[[[],[],[]]]]]]]=>[[[[]]],[],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[[[[[[[],[[]]]]]]]]=>[[[[[[[[]],[]]]]]]]=>[[],[[]],[],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[[[[[[[]],[]]]]]]]=>[[[[[[[],[[]]]]]]]]=>[[[],[]],[],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[[[[[[[],[]]]]]]]]=>[[[[[[[[],[]]]]]]]]=>[[[]],[],[],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[[[[[[[[]]]]]]]]]=>[[[[[[[[[]]]]]]]]]=>[[],[],[],[],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.
Map
DeBruijn-Morselt plane tree automorphism
Description
This automorphism on the set of plane trees with a given number of vertices is the combination of the two "canonical" bijections between plane trees and binary trees, using either the left or right branches. In [3] Shapiro essentially attributes this automorphism to DeBruijn and Morselt [1], hence the name I chose. Shapiro shows in that paper that for a large subset of plane trees (those corresponding to compositions), the sixth power of the automorphism acts as the identity on this subset. However, its behavior in general is quite chaotic. In [2] Donaghey studies this automorphism further and shows that its behavior on all trees can be reduced to its behavior on certain "primitive" trees.
Map
to poset
Description
Return the poset obtained by interpreting the tree as the Hasse diagram of a graph.
searching the database
Sorry, this map was not found in the database.