Identifier
Mp00049:
Ordered trees
—to binary tree: left brother = left child⟶
Binary trees
Mp00015: Binary trees —to ordered tree: right child = right brother⟶ Ordered trees
Mp00047: Ordered trees —to poset⟶ Posets
Mp00015: Binary trees —to ordered tree: right child = right brother⟶ Ordered trees
Mp00047: Ordered trees —to poset⟶ Posets
Images
=>
Cc0021;cc-rep-0Cc0010;cc-rep-1Cc0021;cc-rep-2Cc0014;cc-rep-3
[[]]=>[.,.]=>[[]]=>([(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
to binary tree: left brother = left child
Description
Return a binary tree of size $n-1$ (where $n$ is the size of $t$, and where $t$ is an ordered tree) by the following recursive rule:
- if $x$ is the left brother of $y$ in $t$, then $x$ becomes the left child of $y$;
- if $x$ is the last child of $y$ in $t$, then $x$ becomes the right child of $y$,
and removing the root of $t$.
- if $x$ is the left brother of $y$ in $t$, then $x$ becomes the left child of $y$;
- if $x$ is the last child of $y$ in $t$, then $x$ becomes the right child of $y$,
and removing the root of $t$.
Map
to ordered tree: right child = right brother
Description
Return an ordered tree of size $n+1$ by the following recursive rule:
- if $x$ is the right child of $y$, $x$ becomes the right brother of $y$,
- if $x$ is the left child of $y$, $x$ becomes the first child of $y$.
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.