Identifier
Mp00048:
Ordered trees
—left-right symmetry⟶
Ordered trees
Mp00050: Ordered trees —to binary tree: right brother = right child⟶ Binary trees
Mp00013: Binary trees —to poset⟶ Posets
Mp00050: Ordered trees —to binary tree: right brother = right child⟶ Binary trees
Mp00013: Binary trees —to poset⟶ Posets
Images
=>
Cc0021;cc-rep-0Cc0021;cc-rep-1Cc0010;cc-rep-2Cc0014;cc-rep-3
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[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]=>[.,[[[.,.],[[.,.],.]],.]]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]=>[.,[[.,[[.,[.,.]],.]],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]=>[.,[[.,[[[.,.],.],.]],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[],[],[]]],[]]=>[[],[[[],[],[]]]]=>[.,[[[.,[.,[.,.]]],.],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[],[[]]]],[]]=>[[],[[[[]],[]]]]=>[.,[[[[.,.],[.,.]],.],.]]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[[[[]],[]]],[]]=>[[],[[[],[[]]]]]=>[.,[[[.,[[.,.],.]],.],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[[],[]]]],[]]=>[[],[[[[],[]]]]]=>[.,[[[[.,[.,.]],.],.],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[[[]]]]],[]]=>[[],[[[[[]]]]]]=>[.,[[[[[.,.],.],.],.],.]]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[],[],[],[],[]]]=>[[[],[],[],[],[]]]=>[[.,[.,[.,[.,[.,.]]]]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[],[],[],[[]]]]=>[[[[]],[],[],[]]]=>[[[.,.],[.,[.,[.,.]]]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[[],[],[[]],[]]]=>[[[],[[]],[],[]]]=>[[.,[[.,.],[.,[.,.]]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[[],[],[[],[]]]]=>[[[[],[]],[],[]]]=>[[[.,[.,.]],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[[[],[],[[[]]]]]=>[[[[[]]],[],[]]]=>[[[[.,.],.],[.,[.,.]]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[[[],[[]],[],[]]]=>[[[],[],[[]],[]]]=>[[.,[.,[[.,.],[.,.]]]],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[[],[[]],[[]]]]=>[[[[]],[[]],[]]]=>[[[.,.],[[.,.],[.,.]]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[[[],[[],[]],[]]]=>[[[],[[],[]],[]]]=>[[.,[[.,[.,.]],[.,.]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[[],[[[]]],[]]]=>[[[],[[[]]],[]]]=>[[.,[[[.,.],.],[.,.]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[[],[[],[],[]]]]=>[[[[],[],[]],[]]]=>[[[.,[.,[.,.]]],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[[],[[],[[]]]]]=>[[[[[]],[]],[]]]=>[[[[.,.],[.,.]],[.,.]],.]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[[[],[[[]],[]]]]=>[[[[],[[]]],[]]]=>[[[.,[[.,.],.]],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[[],[[[],[]]]]]=>[[[[[],[]]],[]]]=>[[[[.,[.,.]],.],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[[],[[[[]]]]]]=>[[[[[[]]]],[]]]=>[[[[[.,.],.],.],[.,.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[[[]],[],[],[]]]=>[[[],[],[],[[]]]]=>[[.,[.,[.,[[.,.],.]]]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[]],[],[[]]]]=>[[[[]],[],[[]]]]=>[[[.,.],[.,[[.,.],.]]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[[[]],[[]],[]]]=>[[[],[[]],[[]]]]=>[[.,[[.,.],[[.,.],.]]],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[[[]],[[],[]]]]=>[[[[],[]],[[]]]]=>[[[.,[.,.]],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[[[[]],[[[]]]]]=>[[[[[]]],[[]]]]=>[[[[.,.],.],[[.,.],.]],.]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)
[[[[],[]],[],[]]]=>[[[],[],[[],[]]]]=>[[.,[.,[[.,[.,.]],.]]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[[]]],[],[]]]=>[[[],[],[[[]]]]]=>[[.,[.,[[[.,.],.],.]]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[],[]],[[]]]]=>[[[[]],[[],[]]]]=>[[[.,.],[[.,[.,.]],.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[[[[]]],[[]]]]=>[[[[]],[[[]]]]]=>[[[.,.],[[[.,.],.],.]],.]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[[[],[],[]],[]]]=>[[[],[[],[],[]]]]=>[[.,[[.,[.,[.,.]]],.]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[],[[]]],[]]]=>[[[],[[[]],[]]]]=>[[.,[[[.,.],[.,.]],.]],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[[[[]],[]],[]]]=>[[[],[[],[[]]]]]=>[[.,[[.,[[.,.],.]],.]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[[],[]]],[]]]=>[[[],[[[],[]]]]]=>[[.,[[[.,[.,.]],.],.]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[[[]]]],[]]]=>[[[],[[[[]]]]]]=>[[.,[[[[.,.],.],.],.]],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[],[],[],[]]]]=>[[[[],[],[],[]]]]=>[[[.,[.,[.,[.,.]]]],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[],[],[[]]]]]=>[[[[[]],[],[]]]]=>[[[[.,.],[.,[.,.]]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[[[],[[]],[]]]]=>[[[[],[[]],[]]]]=>[[[.,[[.,.],[.,.]]],.],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[[[],[[],[]]]]]=>[[[[[],[]],[]]]]=>[[[[.,[.,.]],[.,.]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[[[],[[[]]]]]]=>[[[[[[]]],[]]]]=>[[[[[.,.],.],[.,.]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[[[[]],[],[]]]]=>[[[[],[],[[]]]]]=>[[[.,[.,[[.,.],.]]],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[[]],[[]]]]]=>[[[[[]],[[]]]]]=>[[[[.,.],[[.,.],.]],.],.]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[[[[],[]],[]]]]=>[[[[],[[],[]]]]]=>[[[.,[[.,[.,.]],.]],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[[[]]],[]]]]=>[[[[],[[[]]]]]]=>[[[.,[[[.,.],.],.]],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[[],[],[]]]]]=>[[[[[],[],[]]]]]=>[[[[.,[.,[.,.]]],.],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[[],[[]]]]]]=>[[[[[[]],[]]]]]=>[[[[[.,.],[.,.]],.],.],.]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[[[[[]],[]]]]]=>[[[[[],[[]]]]]]=>[[[[.,[[.,.],.]],.],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[[[],[]]]]]]=>[[[[[[],[]]]]]]=>[[[[[.,[.,.]],.],.],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[[[[[[]]]]]]]=>[[[[[[[]]]]]]]=>[[[[[[.,.],.],.],.],.],.]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[]]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>([(0,6),(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)
[[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[]]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(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)
[[],[],[],[[[]]],[]]=>[[],[[[]]],[],[],[]]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[]]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[]]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[[],[],[],[[[]],[]]]=>[[[],[[]]],[],[],[]]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[]]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],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)
[[],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[]]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[]]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[],[],[[[]]],[],[]]=>[[],[],[[[]]],[],[]]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[],[],[[],[]],[[]]]=>[[[]],[[],[]],[],[]]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[[],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[]]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[[],[],[[],[],[]],[]]=>[[],[[],[],[]],[],[]]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[],[],[[],[[]]],[]]=>[[],[[[]],[]],[],[]]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[[],[],[[[]],[]],[]]=>[[],[[],[[]]],[],[]]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[],[],[[[],[]]],[]]=>[[],[[[],[]]],[],[]]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[],[],[[[[]]]],[]]=>[[],[[[[]]]],[],[]]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[]]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[]]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[],[],[[[]],[],[]]]=>[[[],[],[[]]],[],[]]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[]]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[],[],[[[],[]],[]]]=>[[[],[[],[]]],[],[]]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[],[],[[[[]]],[]]]=>[[[],[[[]]]],[],[]]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],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)
[[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[]]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(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)
[[],[[]],[[[]]],[]]=>[[],[[[]]],[[]],[]]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[[],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[]]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[]]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
[[],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[]]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[[],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[]]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[[],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[]]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[[],[[],[]],[],[],[]]=>[[],[],[],[[],[]],[]]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],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),(4,5),(6,4)],7)
[[],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[]]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],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)
[[],[[],[]],[[[]]]]=>[[[[]]],[[],[]],[]]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[]]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[]]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[]]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[]]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[[],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[]]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[]]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],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),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[[],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[]]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[],[[[],[]]],[[]]]=>[[[]],[[[],[]]],[]]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[]]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[],[[],[],[],[]],[]]=>[[],[[],[],[],[]],[]]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[],[[],[],[[]]],[]]=>[[],[[[]],[],[]],[]]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[],[[],[[]],[]],[]]=>[[],[[],[[]],[]],[]]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[[],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[]]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[],[[],[[[]]]],[]]=>[[],[[[[]]],[]],[]]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[]]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[]]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[]]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[]]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[],[[[],[],[]]],[]]=>[[],[[[],[],[]]],[]]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[],[[[],[[]]]],[]]=>[[],[[[[]],[]]],[]]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[[],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[]]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[],[[[[],[]]]],[]]=>[[],[[[[],[]]]],[]]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[],[[[[[]]]]],[]]=>[[],[[[[[]]]]],[]]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[],[[],[],[],[],[]]]=>[[[],[],[],[],[]],[]]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[[],[],[],[[]]]]=>[[[[]],[],[],[]],[]]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[],[[],[],[[]],[]]]=>[[[],[[]],[],[]],[]]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[]]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[[],[[],[[]],[],[]]]=>[[[],[],[[]],[]],[]]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[[],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[]]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[[],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[]]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[],[[],[[[]]],[]]]=>[[[],[[[]]],[]],[]]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[]]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[]]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[],[[[]],[],[],[]]]=>[[[],[],[],[[]]],[]]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[]]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[]]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[[],[[[],[]],[],[]]]=>[[[],[],[[],[]]],[]]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[[[[]]],[],[]]]=>[[[],[],[[[]]]],[]]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[[[],[]],[[]]]]=>[[[[]],[[],[]]],[]]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[],[[[[]]],[[]]]]=>[[[[]],[[[]]]],[]]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[],[[[],[],[]],[]]]=>[[[],[[],[],[]]],[]]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[[[],[[]]],[]]]=>[[[],[[[]],[]]],[]]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[[],[[[[]],[]],[]]]=>[[[],[[],[[]]]],[]]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[[[[],[]]],[]]]=>[[[],[[[],[]]]],[]]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[[[[[]]]],[]]]=>[[[],[[[[]]]]],[]]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[[[],[],[],[]]]]=>[[[[],[],[],[]]],[]]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[[[],[],[[]]]]]=>[[[[[]],[],[]]],[]]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[],[[[],[[]],[]]]]=>[[[[],[[]],[]]],[]]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[[],[[[],[[],[]]]]]=>[[[[[],[]],[]]],[]]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[],[[[],[[[]]]]]]=>[[[[[[]]],[]]],[]]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[],[[[[]],[],[]]]]=>[[[[],[],[[]]]],[]]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[[[[]],[[]]]]]=>[[[[[]],[[]]]],[]]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[],[[[[],[]],[]]]]=>[[[[],[[],[]]]],[]]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[[[[[]]],[]]]]=>[[[[],[[[]]]]],[]]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[[[[],[],[]]]]]=>[[[[[],[],[]]]],[]]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[[[[],[[]]]]]]=>[[[[[[]],[]]]],[]]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[[],[[[[[]],[]]]]]=>[[[[[],[[]]]]],[]]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[[[[[],[]]]]]]=>[[[[[[],[]]]]],[]]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[],[[[[[[]]]]]]]=>[[[[[[[]]]]]],[]]=>[[[[[[.,.],.],.],.],.],[.,.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[[]],[],[],[],[],[]]=>[[],[],[],[],[],[[]]]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>([(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)
[[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]]]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(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)
[[[]],[],[[[]]],[]]=>[[],[[[]]],[],[[]]]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[]],[],[[],[],[]]]=>[[[],[],[]],[],[[]]]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[[]],[],[[],[[]]]]=>[[[[]],[]],[],[[]]]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[[[]],[],[[[]],[]]]=>[[[],[[]]],[],[[]]]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]]]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[[]],[],[[[[]]]]]=>[[[[[]]]],[],[[]]]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],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)
[[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]]]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]]]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]=>[[[[[.,.],.],.],.],[[.,.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[],[]],[],[],[],[]]=>[[],[],[],[],[[],[]]]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[]]],[],[],[],[]]=>[[],[],[],[],[[[]]]]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[],[]],[],[],[[]]]=>[[[]],[],[],[[],[]]]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],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)
[[[[]]],[],[[]],[]]=>[[],[[]],[],[[[]]]]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]]]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[],[]],[],[[[]]]]=>[[[[]]],[],[[],[]]]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[[]]],[],[[],[]]]=>[[[],[]],[],[[[]]]]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]]]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],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)
[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)
[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]=>[[[[.,.],.],.],[[[.,.],.],.]]=>([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]]]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]]]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]]]=>[.,[.,[.,[[[[.,.],.],.],.]]]]=>([(0,6),(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),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],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)
[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],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)
[[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]]]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]=>[[[.,.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]]]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]]]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]=>[.,[.,[[.,[[[.,.],.],.]],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]=>[.,[.,[[[.,[.,[.,.]]],.],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]=>[.,[.,[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]=>[.,[.,[[[.,[[.,.],.]],.],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]]]=>[.,[.,[[[[.,[.,.]],.],.],.]]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]]]=>[.,[.,[[[[[.,.],.],.],.],.]]]=>([(0,6),(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),(2,3),(3,6),(4,5),(6,4)],7)
[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]]]=>[[.,.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[[],[],[],[],[]],[]]=>[[],[[],[],[],[],[]]]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[],[],[],[[]]],[]]=>[[],[[[]],[],[],[]]]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[],[],[[]],[]],[]]=>[[],[[],[[]],[],[]]]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[],[],[[],[]]],[]]=>[[],[[[],[]],[],[]]]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[[],[],[[[]]]],[]]=>[[],[[[[]]],[],[]]]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[[],[[]],[],[]],[]]=>[[],[[],[],[[]],[]]]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[],[[]],[[]]],[]]=>[[],[[[]],[[]],[]]]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[[[],[[],[]],[]],[]]=>[[],[[],[[],[]],[]]]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[],[[[]]],[]],[]]=>[[],[[],[[[]]],[]]]=>[.,[[.,[[[.,.],.],[.,.]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[],[[],[],[]]],[]]=>[[],[[[],[],[]],[]]]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[],[[],[[]]]],[]]=>[[],[[[[]],[]],[]]]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[[[],[[[]],[]]],[]]=>[[],[[[],[[]]],[]]]=>[.,[[[.,[[.,.],.]],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[],[[[],[]]]],[]]=>[[],[[[[],[]]],[]]]=>[.,[[[[.,[.,.]],.],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[],[[[[]]]]],[]]=>[[],[[[[[]]]],[]]]=>[.,[[[[[.,.],.],.],[.,.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]]]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]=>[.,[[[.,.],[.,[[.,.],.]]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]=>[.,[[.,[[.,.],[[.,.],.]]],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]=>[.,[[.,[.,[[[.,.],.],.]]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]=>[.,[[[.,.],[[.,[.,.]],.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]=>[.,[[[.,.],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]=>[.,[[.,[[.,[.,[.,.]]],.]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]=>[.,[[.,[[[.,.],[.,.]],.]],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]=>[.,[[.,[[.,[[.,.],.]],.]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]=>[.,[[.,[[[.,[.,.]],.],.]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]=>[.,[[.,[[[[.,.],.],.],.]],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[],[],[],[]]],[]]=>[[],[[[],[],[],[]]]]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[],[],[[]]]],[]]=>[[],[[[[]],[],[]]]]=>[.,[[[[.,.],[.,[.,.]]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]]]=>[.,[[[.,[[.,.],[.,.]]],.],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[[],[[],[]]]],[]]=>[[],[[[[],[]],[]]]]=>[.,[[[[.,[.,.]],[.,.]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[],[[[]]]]],[]]=>[[],[[[[[]]],[]]]]=>[.,[[[[[.,.],.],[.,.]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]]]=>[.,[[[.,[.,[[.,.],.]]],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]]]=>[.,[[[[.,.],[[.,.],.]],.],.]]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]]]=>[.,[[[.,[[.,[.,.]],.]],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]]]=>[.,[[[.,[[[.,.],.],.]],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[],[],[]]]],[]]=>[[],[[[[],[],[]]]]]=>[.,[[[[.,[.,[.,.]]],.],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[],[[]]]]],[]]=>[[],[[[[[]],[]]]]]=>[.,[[[[[.,.],[.,.]],.],.],.]]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[[[[]],[]]]],[]]=>[[],[[[[],[[]]]]]]=>[.,[[[[.,[[.,.],.]],.],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[],[]]]]],[]]=>[[],[[[[[],[]]]]]]=>[.,[[[[[.,[.,.]],.],.],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[[]]]]]],[]]=>[[],[[[[[[]]]]]]]=>[.,[[[[[[.,.],.],.],.],.],.]]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[],[],[],[],[],[]]]=>[[[],[],[],[],[],[]]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[],[],[],[],[[]]]]=>[[[[]],[],[],[],[]]]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[],[],[],[[]],[]]]=>[[[],[[]],[],[],[]]]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[],[],[],[[],[]]]]=>[[[[],[]],[],[],[]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[],[],[],[[[]]]]]=>[[[[[]]],[],[],[]]]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[],[],[[]],[],[]]]=>[[[],[],[[]],[],[]]]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[],[],[[]],[[]]]]=>[[[[]],[[]],[],[]]]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[[],[],[[],[]],[]]]=>[[[],[[],[]],[],[]]]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[[],[],[[[]]],[]]]=>[[[],[[[]]],[],[]]]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[[],[],[[],[],[]]]]=>[[[[],[],[]],[],[]]]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[],[],[[],[[]]]]]=>[[[[[]],[]],[],[]]]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[[[],[],[[[]],[]]]]=>[[[[],[[]]],[],[]]]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[],[],[[[],[]]]]]=>[[[[[],[]]],[],[]]]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[],[],[[[[]]]]]]=>[[[[[[]]]],[],[]]]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[],[[]],[],[],[]]]=>[[[],[],[],[[]],[]]]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[],[[]],[],[[]]]]=>[[[[]],[],[[]],[]]]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[[[],[[]],[[]],[]]]=>[[[],[[]],[[]],[]]]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]]]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]]]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[[[],[[],[]],[],[]]]=>[[[],[],[[],[]],[]]]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[],[[[]]],[],[]]]=>[[[],[],[[[]]],[]]]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[],[[],[]],[[]]]]=>[[[[]],[[],[]],[]]]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[[],[[[]]],[[]]]]=>[[[[]],[[[]]],[]]]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[[],[[],[],[]],[]]]=>[[[],[[],[],[]],[]]]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[],[[],[[]]],[]]]=>[[[],[[[]],[]],[]]]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[[[],[[[]],[]],[]]]=>[[[],[[],[[]]],[]]]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[],[[[],[]]],[]]]=>[[[],[[[],[]]],[]]]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[],[[[[]]]],[]]]=>[[[],[[[[]]]],[]]]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[],[[],[],[],[]]]]=>[[[[],[],[],[]],[]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[],[[],[],[[]]]]]=>[[[[[]],[],[]],[]]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[[],[[],[[]],[]]]]=>[[[[],[[]],[]],[]]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[[[],[[],[[],[]]]]]=>[[[[[],[]],[]],[]]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[[],[[],[[[]]]]]]=>[[[[[[]]],[]],[]]]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[[],[[[]],[],[]]]]=>[[[[],[],[[]]],[]]]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[],[[[]],[[]]]]]=>[[[[[]],[[]]],[]]]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[[],[[[],[]],[]]]]=>[[[[],[[],[]]],[]]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[],[[[[]]],[]]]]=>[[[[],[[[]]]],[]]]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[],[[[],[],[]]]]]=>[[[[[],[],[]]],[]]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[],[[[],[[]]]]]]=>[[[[[[]],[]]],[]]]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[[[],[[[[]],[]]]]]=>[[[[[],[[]]]],[]]]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[],[[[[],[]]]]]]=>[[[[[[],[]]]],[]]]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[],[[[[[]]]]]]]=>[[[[[[[]]]]],[]]]=>[[[[[[.,.],.],.],.],[.,.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[[]],[],[],[],[]]]=>[[[],[],[],[],[[]]]]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[]],[],[],[[]]]]=>[[[[]],[],[],[[]]]]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]]]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]]]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[[]],[[],[[]]]]]=>[[[[[]],[]],[[]]]]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)
[[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]]]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[[]],[[[],[]]]]]=>[[[[[],[]]],[[]]]]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[[]],[[[[]]]]]]=>[[[[[[]]]],[[]]]]=>[[[[[.,.],.],.],[[.,.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]]]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]]]=>[[.,[.,[.,[[[.,.],.],.]]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]]]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]]]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]=>[[[[.,.],.],[[[.,.],.],.]],.]=>([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)
[[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]]]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]]]=>[[.,[.,[[[.,.],[.,.]],.]]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]=>[[.,[.,[[.,[[.,.],.]],.]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]]]=>[[.,[.,[[[.,[.,.]],.],.]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]]]=>[[.,[.,[[[[.,.],.],.],.]]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]]]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]=>[[[.,.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[[],[],[],[]],[]]]=>[[[],[[],[],[],[]]]]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[],[],[[]]],[]]]=>[[[],[[[]],[],[]]]]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]]]=>[[.,[[.,[[.,.],[.,.]]],.]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[[],[[],[]]],[]]]=>[[[],[[[],[]],[]]]]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[],[[[]]]],[]]]=>[[[],[[[[]]],[]]]]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]=>[[.,[[.,[.,[[.,.],.]]],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]=>[[.,[[.,[[.,[.,.]],.]],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]=>[[.,[[.,[[[.,.],.],.]],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[],[],[]]],[]]]=>[[[],[[[],[],[]]]]]=>[[.,[[[.,[.,[.,.]]],.],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[],[[]]]],[]]]=>[[[],[[[[]],[]]]]]=>[[.,[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]]]=>[[.,[[[.,[[.,.],.]],.],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[],[]]]],[]]]=>[[[],[[[[],[]]]]]]=>[[.,[[[[.,[.,.]],.],.],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[[]]]]],[]]]=>[[[],[[[[[]]]]]]]=>[[.,[[[[[.,.],.],.],.],.]],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[],[],[],[],[]]]]=>[[[[],[],[],[],[]]]]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[],[],[],[[]]]]]=>[[[[[]],[],[],[]]]]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[],[],[[]],[]]]]=>[[[[],[[]],[],[]]]]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[],[],[[],[]]]]]=>[[[[[],[]],[],[]]]]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[[[],[],[[[]]]]]]=>[[[[[[]]],[],[]]]]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[[[],[[]],[],[]]]]=>[[[[],[],[[]],[]]]]=>[[[.,[.,[[.,.],[.,.]]]],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[[],[[]],[[]]]]]=>[[[[[]],[[]],[]]]]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[[[[],[[],[]],[]]]]=>[[[[],[[],[]],[]]]]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[],[[[]]],[]]]]=>[[[[],[[[]]],[]]]]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[],[[],[],[]]]]]=>[[[[[],[],[]],[]]]]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[],[[],[[]]]]]]=>[[[[[[]],[]],[]]]]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[[[[],[[[]],[]]]]]=>[[[[[],[[]]],[]]]]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[],[[[],[]]]]]]=>[[[[[[],[]]],[]]]]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[],[[[[]]]]]]]=>[[[[[[[]]]],[]]]]=>[[[[[[.,.],.],.],[.,.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[[]],[],[],[]]]]=>[[[[],[],[],[[]]]]]=>[[[.,[.,[.,[[.,.],.]]]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[]],[],[[]]]]]=>[[[[[]],[],[[]]]]]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[[]],[[]],[]]]]=>[[[[],[[]],[[]]]]]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[[]],[[],[]]]]]=>[[[[[],[]],[[]]]]]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[[[[]],[[[]]]]]]=>[[[[[[]]],[[]]]]]=>[[[[[.,.],.],[[.,.],.]],.],.]=>([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)
[[[[[],[]],[],[]]]]=>[[[[],[],[[],[]]]]]=>[[[.,[.,[[.,[.,.]],.]]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[]]],[],[]]]]=>[[[[],[],[[[]]]]]]=>[[[.,[.,[[[.,.],.],.]]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[],[]],[[]]]]]=>[[[[[]],[[],[]]]]]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[[[]]],[[]]]]]=>[[[[[]],[[[]]]]]]=>[[[[.,.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[[],[],[]],[]]]]=>[[[[],[[],[],[]]]]]=>[[[.,[[.,[.,[.,.]]],.]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[],[[]]],[]]]]=>[[[[],[[[]],[]]]]]=>[[[.,[[[.,.],[.,.]],.]],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[[[[]],[]],[]]]]=>[[[[],[[],[[]]]]]]=>[[[.,[[.,[[.,.],.]],.]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[],[]]],[]]]]=>[[[[],[[[],[]]]]]]=>[[[.,[[[.,[.,.]],.],.]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[[]]]],[]]]]=>[[[[],[[[[]]]]]]]=>[[[.,[[[[.,.],.],.],.]],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[],[],[],[]]]]]=>[[[[[],[],[],[]]]]]=>[[[[.,[.,[.,[.,.]]]],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[],[],[[]]]]]]=>[[[[[[]],[],[]]]]]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[[],[[]],[]]]]]=>[[[[[],[[]],[]]]]]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[[[],[[],[]]]]]]=>[[[[[[],[]],[]]]]]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[[],[[[]]]]]]]=>[[[[[[[]]],[]]]]]=>[[[[[[.,.],.],[.,.]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[[[]],[],[]]]]]=>[[[[[],[],[[]]]]]]=>[[[[.,[.,[[.,.],.]]],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[]],[[]]]]]]=>[[[[[[]],[[]]]]]]=>[[[[[.,.],[[.,.],.]],.],.],.]=>([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[[[],[]],[]]]]]=>[[[[[],[[],[]]]]]]=>[[[[.,[[.,[.,.]],.]],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[[]]],[]]]]]=>[[[[[],[[[]]]]]]]=>[[[[.,[[[.,.],.],.]],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[],[],[]]]]]]=>[[[[[[],[],[]]]]]]=>[[[[[.,[.,[.,.]]],.],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[],[[]]]]]]]=>[[[[[[[]],[]]]]]]=>[[[[[[.,.],[.,.]],.],.],.],.]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[[[[[]],[]]]]]]=>[[[[[[],[[]]]]]]]=>[[[[[.,[[.,.],.]],.],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[[],[]]]]]]]=>[[[[[[[],[]]]]]]]=>[[[[[[.,[.,.]],.],.],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[[[[[[[]]]]]]]]=>[[[[[[[[]]]]]]]]=>[[[[[[[.,.],.],.],.],.],.],.]=>([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],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)
[[],[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[],[]]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(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)
[[],[],[],[],[[[]]],[]]=>[[],[[[]]],[],[],[],[]]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[],[],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[],[]]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[],[],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[],[]]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[],[],[],[],[[[]],[]]]=>[[[],[[]]],[],[],[],[]]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[],[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[],[]]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[],[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[],[]]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],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)
[[],[],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[],[]]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[],[]]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[],[],[],[[[]]],[],[]]=>[[],[],[[[]]],[],[],[]]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[],[],[],[[],[]],[[]]]=>[[[]],[[],[]],[],[],[]]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[],[],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[],[]]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[],[],[],[[],[],[]],[]]=>[[],[[],[],[]],[],[],[]]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[],[],[],[[],[[]]],[]]=>[[],[[[]],[]],[],[],[]]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[],[],[],[[[]],[]],[]]=>[[],[[],[[]]],[],[],[]]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[],[],[],[[[],[]]],[]]=>[[],[[[],[]]],[],[],[]]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[],[],[],[[[[]]]],[]]=>[[],[[[[]]]],[],[],[]]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[],[],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[],[]]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[],[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[],[]]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[],[]]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[],[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[],[]]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[],[]]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[],[],[[[]],[],[]]]=>[[[],[],[[]]],[],[],[]]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[],[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[],[]]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[],[],[[[],[]],[]]]=>[[[],[[],[]]],[],[],[]]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[],[],[],[[[[]]],[]]]=>[[[],[[[]]]],[],[],[]]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[],[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[],[]]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[],[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[],[]]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[],[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[],[]]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[],[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[],[]]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[],[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[],[]]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],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)
[[],[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[],[]]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,4),(3,7),(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)
[[],[],[[]],[[[]]],[]]=>[[],[[[]]],[[]],[],[]]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[],[],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[],[]]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[],[]]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[[],[],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[],[]]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[],[]]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[],[]]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[],[[],[]],[],[],[]]=>[[],[],[],[[],[]],[],[]]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[],[],[[[]]],[],[],[]]=>[[],[],[],[[[]]],[],[]]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[],[],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[],[]]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[],[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[],[]]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[],[],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[],[]]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[],[],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[],[]]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[],[],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[],[]]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[],[],[[],[]],[[[]]]]=>[[[[]]],[[],[]],[],[]]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[],[],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[],[]]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[],[],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[],[]]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[],[],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[],[]]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[],[],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[],[]]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[],[],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[],[]]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[],[],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[],[]]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[],[],[[[[]]]],[],[]]=>[[],[],[[[[]]]],[],[]]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[],[],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[],[]]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[],[],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[],[]]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[[],[],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[],[]]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[],[],[[[],[]]],[[]]]=>[[[]],[[[],[]]],[],[]]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[],[],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[],[]]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[],[],[[],[],[],[]],[]]=>[[],[[],[],[],[]],[],[]]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[],[],[[],[],[[]]],[]]=>[[],[[[]],[],[]],[],[]]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[],[],[[],[[]],[]],[]]=>[[],[[],[[]],[]],[],[]]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[],[],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[],[]]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[],[],[[],[[[]]]],[]]=>[[],[[[[]]],[]],[],[]]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[],[],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[],[]]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[],[],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[],[]]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[],[],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[],[]]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[],[],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[],[]]=>[.,[[.,[[[.,.],.],.]],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[],[],[[[],[],[]]],[]]=>[[],[[[],[],[]]],[],[]]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[],[],[[[],[[]]]],[]]=>[[],[[[[]],[]]],[],[]]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[],[],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[],[]]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[],[],[[[[],[]]]],[]]=>[[],[[[[],[]]]],[],[]]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[],[],[[[[[]]]]],[]]=>[[],[[[[[]]]]],[],[]]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[],[],[[],[],[],[],[]]]=>[[[],[],[],[],[]],[],[]]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[[],[],[],[[]]]]=>[[[[]],[],[],[]],[],[]]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[],[[],[],[[]],[]]]=>[[[],[[]],[],[]],[],[]]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[],[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[],[]]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[],[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[],[]]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[],[],[[],[[]],[],[]]]=>[[[],[],[[]],[]],[],[]]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[],[],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[],[]]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[[],[],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[],[]]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[],[],[[],[[[]]],[]]]=>[[[],[[[]]],[]],[],[]]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[],[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[],[]]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[],[]]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[[],[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[],[]]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[],[]]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[],[]]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[],[[[]],[],[],[]]]=>[[[],[],[],[[]]],[],[]]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[],[]]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[],[]]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[],[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[],[]]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[],[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[],[]]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[],[],[[[],[]],[],[]]]=>[[[],[],[[],[]]],[],[]]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[[[[]]],[],[]]]=>[[[],[],[[[]]]],[],[]]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[[[],[]],[[]]]]=>[[[[]],[[],[]]],[],[]]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[],[[[[]]],[[]]]]=>[[[[]],[[[]]]],[],[]]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[],[[[],[],[]],[]]]=>[[[],[[],[],[]]],[],[]]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[[[],[[]]],[]]]=>[[[],[[[]],[]]],[],[]]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[],[],[[[[]],[]],[]]]=>[[[],[[],[[]]]],[],[]]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[[[[],[]]],[]]]=>[[[],[[[],[]]]],[],[]]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[[[[[]]]],[]]]=>[[[],[[[[]]]]],[],[]]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[[[],[],[],[]]]]=>[[[[],[],[],[]]],[],[]]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[[[],[],[[]]]]]=>[[[[[]],[],[]]],[],[]]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[],[],[[[],[[]],[]]]]=>[[[[],[[]],[]]],[],[]]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[],[],[[[],[[],[]]]]]=>[[[[[],[]],[]]],[],[]]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[],[],[[[],[[[]]]]]]=>[[[[[[]]],[]]],[],[]]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[],[],[[[[]],[],[]]]]=>[[[[],[],[[]]]],[],[]]=>[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[[[[]],[[]]]]]=>[[[[[]],[[]]]],[],[]]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[],[],[[[[],[]],[]]]]=>[[[[],[[],[]]]],[],[]]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[[[[[]]],[]]]]=>[[[[],[[[]]]]],[],[]]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[[[[],[],[]]]]]=>[[[[[],[],[]]]],[],[]]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[[[[],[[]]]]]]=>[[[[[[]],[]]]],[],[]]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[],[],[[[[[]],[]]]]]=>[[[[[],[[]]]]],[],[]]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[[[[[],[]]]]]]=>[[[[[[],[]]]]],[],[]]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[],[],[[[[[[]]]]]]]=>[[[[[[[]]]]]],[],[]]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],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)
[[],[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]],[]]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(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)
[[],[[]],[],[[[]]],[]]=>[[],[[[]]],[],[[]],[]]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[],[[]],[],[[],[],[]]]=>[[[],[],[]],[],[[]],[]]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[],[[]],[],[[],[[]]]]=>[[[[]],[]],[],[[]],[]]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[[],[[]],[],[[[]],[]]]=>[[[],[[]]],[],[[]],[]]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[],[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]],[]]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[],[[]],[],[[[[]]]]]=>[[[[[]]]],[],[[]],[]]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],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),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[[],[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]],[]]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[],[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]],[]]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[],[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]],[]]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[[],[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]],[]]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[[],[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]],[]]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[],[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]],[]]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,5),(3,5),(5,7),(6,7),(7,4)],8)
[[],[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]],[]]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[],[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]],[]]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[],[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]],[]]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[],[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]],[]]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[],[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]],[]]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[[],[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]],[]]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[[],[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]],[]]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[[],[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]],[]]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[[],[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]],[]]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[],[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]],[]]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[[],[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]],[]]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[],[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]],[]]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[],[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]],[]]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[],[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]],[]]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[[],[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]],[]]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[],[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]],[]]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[],[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]],[]]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[],[[],[]],[],[],[],[]]=>[[],[],[],[],[[],[]],[]]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],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)
[[],[[[]]],[],[],[[]]]=>[[[]],[],[],[[[]]],[]]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>([(0,7),(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),(1,7),(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)
[[],[[],[]],[],[[[]]]]=>[[[[]]],[],[[],[]],[]]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[],[[[]]],[],[[],[]]]=>[[[],[]],[],[[[]]],[]]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[],[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]],[]]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[],[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]],[]]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[],[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]],[]]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>([(0,7),(1,6),(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),(1,7),(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)
[[],[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]],[]]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[],[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]],[]]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[],[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]],[]]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[],[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]],[]]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]],[]]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[[],[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]],[]]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]],[]]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]],[]]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]],[]]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]],[]]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[[],[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]],[]]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]],[]]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]],[]]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[],[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]],[]]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[],[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]],[]]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[],[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]],[]]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[],[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]],[]]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],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)
[[],[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]],[]]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]],[]]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]],[]]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],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),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[[],[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]],[]]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[],[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]],[]]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],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)
[[],[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]],[]]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]],[]]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[[],[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]],[]]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[[],[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]],[]]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]],[]]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]],[]]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]],[]]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]],[]]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]],[]]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[],[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]],[]]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[],[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]],[]]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[],[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]],[]]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[],[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]],[]]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[],[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]],[]]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[],[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]],[]]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[],[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]],[]]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[],[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]],[]]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[],[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]],[]]=>[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[],[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]],[]]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[],[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]],[]]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[],[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]],[]]=>[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[],[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]],[]]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],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),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[],[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]],[]]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[[],[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]],[]]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[],[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]],[]]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[],[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]],[]]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]],[]]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[],[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]],[]]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]],[]]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]],[]]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]],[]]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[[],[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]],[]]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]],[]]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]],[]]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[],[],[],[],[]],[]]=>[[],[[],[],[],[],[]],[]]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[],[],[],[[]]],[]]=>[[],[[[]],[],[],[]],[]]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[],[[],[],[[]],[]],[]]=>[[],[[],[[]],[],[]],[]]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[],[[],[],[[],[]]],[]]=>[[],[[[],[]],[],[]],[]]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[],[[],[],[[[]]]],[]]=>[[],[[[[]]],[],[]],[]]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[],[[],[[]],[],[]],[]]=>[[],[[],[],[[]],[]],[]]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[],[[],[[]],[[]]],[]]=>[[],[[[]],[[]],[]],[]]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[[],[[],[[],[]],[]],[]]=>[[],[[],[[],[]],[]],[]]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[],[[],[[[]]],[]],[]]=>[[],[[],[[[]]],[]],[]]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[],[[],[[],[],[]]],[]]=>[[],[[[],[],[]],[]],[]]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[],[[],[[],[[]]]],[]]=>[[],[[[[]],[]],[]],[]]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[[],[[],[[[]],[]]],[]]=>[[],[[[],[[]]],[]],[]]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[],[[],[[[],[]]]],[]]=>[[],[[[[],[]]],[]],[]]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[],[[],[[[[]]]]],[]]=>[[],[[[[[]]]],[]],[]]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[],[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]],[]]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]],[]]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[],[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]],[]]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[],[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]],[]]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[],[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]],[]]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[],[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]],[]]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]],[]]=>[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]],[]]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[],[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]],[]]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[],[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]],[]]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]],[]]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[],[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]],[]]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]],[]]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]],[]]=>[.,[[.,[[[[.,.],.],.],.]],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[[],[],[],[]]],[]]=>[[],[[[],[],[],[]]],[]]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[[],[],[[]]]],[]]=>[[],[[[[]],[],[]]],[]]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[],[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]],[]]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[],[[[],[[],[]]]],[]]=>[[],[[[[],[]],[]]],[]]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[],[[[],[[[]]]]],[]]=>[[],[[[[[]]],[]]],[]]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[],[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]],[]]=>[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]],[]]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[],[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]],[]]=>[.,[[[.,[[.,[.,.]],.]],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]],[]]=>[.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[[[],[],[]]]],[]]=>[[],[[[[],[],[]]]],[]]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[[[],[[]]]]],[]]=>[[],[[[[[]],[]]]],[]]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[],[[[[[]],[]]]],[]]=>[[],[[[[],[[]]]]],[]]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[[[[],[]]]]],[]]=>[[],[[[[[],[]]]]],[]]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[[[[[]]]]]],[]]=>[[],[[[[[[]]]]]],[]]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[],[[],[],[],[],[],[]]]=>[[[],[],[],[],[],[]],[]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[],[],[],[],[[]]]]=>[[[[]],[],[],[],[]],[]]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[],[],[],[[]],[]]]=>[[[],[[]],[],[],[]],[]]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[],[],[],[[],[]]]]=>[[[[],[]],[],[],[]],[]]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(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),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[],[],[[]],[[]]]]=>[[[[]],[[]],[],[]],[]]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[],[[],[],[[],[]],[]]]=>[[[],[[],[]],[],[]],[]]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[],[[],[],[[[]]],[]]]=>[[[],[[[]]],[],[]],[]]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[],[[],[],[[],[],[]]]]=>[[[[],[],[]],[],[]],[]]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[],[[],[],[[],[[]]]]]=>[[[[[]],[]],[],[]],[]]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[[],[[],[],[[[]],[]]]]=>[[[[],[[]]],[],[]],[]]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[],[[],[],[[[],[]]]]]=>[[[[[],[]]],[],[]],[]]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(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),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[],[[],[[]],[],[[]]]]=>[[[[]],[],[[]],[]],[]]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[[],[[],[[]],[[]],[]]]=>[[[],[[]],[[]],[]],[]]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]],[]]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>([(0,5),(1,5),(2,6),(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),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[],[[[]]],[],[]]]=>[[[],[],[[[]]],[]],[]]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[],[[],[]],[[]]]]=>[[[[]],[[],[]],[]],[]]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[],[[],[[[]]],[[]]]]=>[[[[]],[[[]]],[]],[]]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[],[[],[[],[],[]],[]]]=>[[[],[[],[],[]],[]],[]]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[],[[],[[]]],[]]]=>[[[],[[[]],[]],[]],[]]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[],[[[]],[]],[]]]=>[[[],[[],[[]]],[]],[]]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[],[[[],[]]],[]]]=>[[[],[[[],[]]],[]],[]]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[],[[[[]]]],[]]]=>[[[],[[[[]]]],[]],[]]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[],[[],[],[],[]]]]=>[[[[],[],[],[]],[]],[]]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[],[[],[],[[]]]]]=>[[[[[]],[],[]],[]],[]]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[],[[],[[],[[]],[]]]]=>[[[[],[[]],[]],[]],[]]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[[],[[],[[],[[],[]]]]]=>[[[[[],[]],[]],[]],[]]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[],[[],[[],[[[]]]]]]=>[[[[[[]]],[]],[]],[]]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[],[[],[[[]],[],[]]]]=>[[[[],[],[[]]],[]],[]]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[],[[[]],[[]]]]]=>[[[[[]],[[]]],[]],[]]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[],[[],[[[],[]],[]]]]=>[[[[],[[],[]]],[]],[]]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[],[[[[]]],[]]]]=>[[[[],[[[]]]],[]],[]]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[],[[[],[],[]]]]]=>[[[[[],[],[]]],[]],[]]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[],[[[],[[]]]]]]=>[[[[[[]],[]]],[]],[]]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[[],[[],[[[[]],[]]]]]=>[[[[[],[[]]]],[]],[]]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[],[[[[],[]]]]]]=>[[[[[[],[]]]],[]],[]]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[],[[[[[]]]]]]]=>[[[[[[[]]]]],[]],[]]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[[]],[],[],[],[]]]=>[[[],[],[],[],[[]]],[]]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[]],[],[],[[]]]]=>[[[[]],[],[],[[]]],[]]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]],[]]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]],[]]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(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),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]],[]]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[],[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]],[]]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[],[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]],[]]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[],[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]],[]]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[],[[[]],[[],[[]]]]]=>[[[[[]],[]],[[]]],[]]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[[],[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]],[]]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[],[[[]],[[[],[]]]]]=>[[[[[],[]]],[[]]],[]]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(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),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]],[]]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]],[]]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]],[]]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]],[]]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]],[]]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]],[]]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[],[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]],[]]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[],[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]],[]]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>([(0,6),(1,3),(2,4),(3,7),(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),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]],[]]=>[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[],[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]],[]]=>[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]],[]]=>[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]],[]]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]],[]]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]],[]]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[[],[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]],[]]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]],[]]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]],[]]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[],[[[],[],[],[]],[]]]=>[[[],[[],[],[],[]]],[]]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[],[],[[]]],[]]]=>[[[],[[[]],[],[]]],[]]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]],[]]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[],[[[],[[],[]]],[]]]=>[[[],[[[],[]],[]]],[]]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[[],[[[]]]],[]]]=>[[[],[[[[]]],[]]],[]]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]],[]]=>[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]],[]]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]],[]]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]],[]]=>[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[],[],[]]],[]]]=>[[[],[[[],[],[]]]],[]]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[],[[]]]],[]]]=>[[[],[[[[]],[]]]],[]]=>[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[],[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]],[]]=>[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[[],[]]]],[]]]=>[[[],[[[[],[]]]]],[]]=>[[.,[[[[.,[.,.]],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[[[]]]]],[]]]=>[[[],[[[[[]]]]]],[]]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[],[],[],[],[]]]]=>[[[[],[],[],[],[]]],[]]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[],[],[],[[]]]]]=>[[[[[]],[],[],[]]],[]]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[[],[],[[]],[]]]]=>[[[[],[[]],[],[]]],[]]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[[],[],[[],[]]]]]=>[[[[[],[]],[],[]]],[]]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[],[[[],[],[[[]]]]]]=>[[[[[[]]],[],[]]],[]]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[],[[[],[[]],[],[]]]]=>[[[[],[],[[]],[]]],[]]=>[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[],[[[],[[]],[[]]]]]=>[[[[[]],[[]],[]]],[]]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[[],[[],[]],[]]]]=>[[[[],[[],[]],[]]],[]]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[[],[[[]]],[]]]]=>[[[[],[[[]]],[]]],[]]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[[],[[],[],[]]]]]=>[[[[[],[],[]],[]]],[]]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[[],[[],[[]]]]]]=>[[[[[[]],[]],[]]],[]]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[[],[[[]],[]]]]]=>[[[[[],[[]]],[]]],[]]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[[],[[[],[]]]]]]=>[[[[[[],[]]],[]]],[]]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[[],[[[[]]]]]]]=>[[[[[[[]]]],[]]],[]]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[[[]],[],[],[]]]]=>[[[[],[],[],[[]]]],[]]=>[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[]],[],[[]]]]]=>[[[[[]],[],[[]]]],[]]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[[[]],[[]],[]]]]=>[[[[],[[]],[[]]]],[]]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[[[]],[[],[]]]]]=>[[[[[],[]],[[]]]],[]]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[],[[[[]],[[[]]]]]]=>[[[[[[]]],[[]]]],[]]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[],[[[[],[]],[],[]]]]=>[[[[],[],[[],[]]]],[]]=>[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[[]]],[],[]]]]=>[[[[],[],[[[]]]]],[]]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[],[]],[[]]]]]=>[[[[[]],[[],[]]]],[]]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[[[[]]],[[]]]]]=>[[[[[]],[[[]]]]],[]]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[],[[[[],[],[]],[]]]]=>[[[[],[[],[],[]]]],[]]=>[[[.,[[.,[.,[.,.]]],.]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[],[[]]],[]]]]=>[[[[],[[[]],[]]]],[]]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[],[[[[[]],[]],[]]]]=>[[[[],[[],[[]]]]],[]]=>[[[.,[[.,[[.,.],.]],.]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[[],[]]],[]]]]=>[[[[],[[[],[]]]]],[]]=>[[[.,[[[.,[.,.]],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[[[]]]],[]]]]=>[[[[],[[[[]]]]]],[]]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[],[],[],[]]]]]=>[[[[[],[],[],[]]]],[]]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[],[],[[]]]]]]=>[[[[[[]],[],[]]]],[]]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[[[],[[]],[]]]]]=>[[[[[],[[]],[]]]],[]]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[],[[[[],[[],[]]]]]]=>[[[[[[],[]],[]]]],[]]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[[[],[[[]]]]]]]=>[[[[[[[]]],[]]]],[]]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[[[[]],[],[]]]]]=>[[[[[],[],[[]]]]],[]]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[[]],[[]]]]]]=>[[[[[[]],[[]]]]],[]]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[],[[[[[],[]],[]]]]]=>[[[[[],[[],[]]]]],[]]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[[[]]],[]]]]]=>[[[[[],[[[]]]]]],[]]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[[],[],[]]]]]]=>[[[[[[],[],[]]]]],[]]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[[],[[]]]]]]]=>[[[[[[[]],[]]]]],[]]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[],[[[[[[]],[]]]]]]=>[[[[[[],[[]]]]]],[]]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[[[],[]]]]]]]=>[[[[[[[],[]]]]]],[]]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[],[[[[[[[]]]]]]]]=>[[[[[[[[]]]]]]],[]]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[]],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[[]]]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>([(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)
[[[]],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[[]]]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(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)
[[[]],[],[],[[[]]],[]]=>[[],[[[]]],[],[],[[]]]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[]],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[[]]]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[]],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[[]]]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[[]],[],[],[[[]],[]]]=>[[[],[[]]],[],[],[[]]]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[]],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[[]]]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[]],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[[]]]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],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)
[[[]],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[[]]]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[[]],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[[]]]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[]],[],[[[]]],[],[]]=>[[],[],[[[]]],[],[[]]]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[]],[],[[],[]],[[]]]=>[[[]],[[],[]],[],[[]]]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[[]],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[[]]]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[[]],[],[[],[],[]],[]]=>[[],[[],[],[]],[],[[]]]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[]],[],[[],[[]]],[]]=>[[],[[[]],[]],[],[[]]]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[[]],[],[[[]],[]],[]]=>[[],[[],[[]]],[],[[]]]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[]],[],[[[],[]]],[]]=>[[],[[[],[]]],[],[[]]]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[]],[],[[[[]]]],[]]=>[[],[[[[]]]],[],[[]]]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[]],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[[]]]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[]],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[[]]]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[]],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[[]]]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[[]],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[[]]]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[]],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[[]]]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[]],[],[[[]],[],[]]]=>[[[],[],[[]]],[],[[]]]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[]],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[[]]]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[]],[],[[[],[]],[]]]=>[[[],[[],[]]],[],[[]]]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[]],[],[[[[]]],[]]]=>[[[],[[[]]]],[],[[]]]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[]],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[[]]]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[]],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[[]]]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[[]],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[[]]]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[]],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[[]]]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[]],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[[]]]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],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)
[[[]],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[[]]]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,4),(3,7),(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)
[[[]],[[]],[[[]]],[]]=>[[],[[[]]],[[]],[[]]]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[]],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[[]]]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[]],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[[]]]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,5),(2,5),(3,4),(4,7),(5,6),(7,6)],8)
[[[]],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[[]]]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[]],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[[]]]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[]],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[[]]]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[]],[[],[]],[],[],[]]=>[[],[],[],[[],[]],[[]]]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[]],[[[]]],[],[],[]]=>[[],[],[],[[[]]],[[]]]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[]],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[[]]]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[[]],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[[]]]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[[]],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[[]]]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[[]],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[[]]]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[[]],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[[]]]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[[]],[[],[]],[[[]]]]=>[[[[]]],[[],[]],[[]]]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[[]],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[[]]]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[[]],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[[]]]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[[]],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[[]]]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[]],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[[]]]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[[]],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[[]]]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[]],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[[]]]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[]],[[[[]]]],[],[]]=>[[],[],[[[[]]]],[[]]]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[]],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[[]]]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[[]],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[[]]]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>([(0,5),(1,5),(2,6),(3,4),(4,7),(5,7),(7,6)],8)
[[[]],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[[]]]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[[]],[[[],[]]],[[]]]=>[[[]],[[[],[]]],[[]]]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[[]],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[[]]]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[[]],[[],[],[],[]],[]]=>[[],[[],[],[],[]],[[]]]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[]],[[],[],[[]]],[]]=>[[],[[[]],[],[]],[[]]]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[]],[[],[[]],[]],[]]=>[[],[[],[[]],[]],[[]]]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[[]],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[[]]]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[]],[[],[[[]]]],[]]=>[[],[[[[]]],[]],[[]]]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[]],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[[]]]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[]],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[[]]]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[]],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[[]]]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[]],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[[]]]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[]],[[[],[],[]]],[]]=>[[],[[[],[],[]]],[[]]]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[]],[[[],[[]]]],[]]=>[[],[[[[]],[]]],[[]]]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[[]],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[[]]]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[]],[[[[],[]]]],[]]=>[[],[[[[],[]]]],[[]]]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[]],[[[[[]]]]],[]]=>[[],[[[[[]]]]],[[]]]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[]],[[],[],[],[],[]]]=>[[[],[],[],[],[]],[[]]]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[]],[[],[],[],[[]]]]=>[[[[]],[],[],[]],[[]]]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[[]],[[],[],[[]],[]]]=>[[[],[[]],[],[]],[[]]]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[]],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[[]]]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[[]],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[[]]]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[[]],[[],[[]],[],[]]]=>[[[],[],[[]],[]],[[]]]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[[]],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[[]]]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[[[]],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[[]]]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[]],[[],[[[]]],[]]]=>[[[],[[[]]],[]],[[]]]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[]],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[[]]]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[[]],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[[]]]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>([(0,6),(1,5),(2,5),(3,4),(4,7),(5,6),(6,7)],8)
[[[]],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[[]]]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[[]],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[[]]]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[[]],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[[]]]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[[]],[[[]],[],[],[]]]=>[[[],[],[],[[]]],[[]]]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[]],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[[]]]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[[]],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[[]]]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[]],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[[]]]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[[]],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[[]]]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>([(0,4),(1,3),(2,5),(3,7),(4,7),(5,6),(7,6)],8)
[[[]],[[[],[]],[],[]]]=>[[[],[],[[],[]]],[[]]]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[]],[[[[]]],[],[]]]=>[[[],[],[[[]]]],[[]]]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[]],[[[],[]],[[]]]]=>[[[[]],[[],[]]],[[]]]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[[]],[[[[]]],[[]]]]=>[[[[]],[[[]]]],[[]]]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[[]],[[[],[],[]],[]]]=>[[[],[[],[],[]]],[[]]]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[]],[[[],[[]]],[]]]=>[[[],[[[]],[]]],[[]]]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[[]],[[[[]],[]],[]]]=>[[[],[[],[[]]]],[[]]]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[]],[[[[],[]]],[]]]=>[[[],[[[],[]]]],[[]]]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[]],[[[[[]]]],[]]]=>[[[],[[[[]]]]],[[]]]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[]],[[[],[],[],[]]]]=>[[[[],[],[],[]]],[[]]]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[]],[[[],[],[[]]]]]=>[[[[[]],[],[]]],[[]]]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[]],[[[],[[]],[]]]]=>[[[[],[[]],[]]],[[]]]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[[]],[[[],[[],[]]]]]=>[[[[[],[]],[]]],[[]]]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[]],[[[],[[[]]]]]]=>[[[[[[]]],[]]],[[]]]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[]],[[[[]],[],[]]]]=>[[[[],[],[[]]]],[[]]]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[]],[[[[]],[[]]]]]=>[[[[[]],[[]]]],[[]]]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[]],[[[[],[]],[]]]]=>[[[[],[[],[]]]],[[]]]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[]],[[[[[]]],[]]]]=>[[[[],[[[]]]]],[[]]]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[]],[[[[],[],[]]]]]=>[[[[[],[],[]]]],[[]]]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[]],[[[[],[[]]]]]]=>[[[[[[]],[]]]],[[]]]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[[]],[[[[[]],[]]]]]=>[[[[[],[[]]]]],[[]]]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[]],[[[[[],[]]]]]]=>[[[[[[],[]]]]],[[]]]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[]],[[[[[[]]]]]]]=>[[[[[[[]]]]]],[[]]]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[],[]],[],[],[],[],[]]=>[[],[],[],[],[],[[],[]]]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[]]],[],[],[],[],[]]=>[[],[],[],[],[],[[[]]]]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>([(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),(3,5),(4,3),(5,2),(6,4)],8)
[[[],[]],[],[],[[]],[]]=>[[],[[]],[],[],[[],[]]]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[]]],[],[],[[]],[]]=>[[],[[]],[],[],[[[]]]]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>([(0,7),(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)
[[[],[]],[],[],[[[]]]]=>[[[[]]],[],[],[[],[]]]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[]]],[],[],[[],[]]]=>[[[],[]],[],[],[[[]]]]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[]]],[],[],[[[]]]]=>[[[[]]],[],[],[[[]]]]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[],[]],[],[[]],[],[]]=>[[],[],[[]],[],[[],[]]]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],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)
[[[[]]],[],[[]],[[]]]=>[[[]],[[]],[],[[[]]]]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>([(0,7),(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)
[[[],[]],[],[[[]]],[]]=>[[],[[[]]],[],[[],[]]]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[]]],[],[[],[]],[]]=>[[],[[],[]],[],[[[]]]]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[]]],[],[[[]]],[]]=>[[],[[[]]],[],[[[]]]]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[],[]],[],[[],[],[]]]=>[[[],[],[]],[],[[],[]]]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[]],[],[[],[[]]]]=>[[[[]],[]],[],[[],[]]]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[[],[]],[],[[[]],[]]]=>[[[],[[]]],[],[[],[]]]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[]],[],[[[],[]]]]=>[[[[],[]]],[],[[],[]]]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[]],[],[[[[]]]]]=>[[[[[]]]],[],[[],[]]]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[]]],[],[[],[],[]]]=>[[[],[],[]],[],[[[]]]]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[]]],[],[[],[[]]]]=>[[[[]],[]],[],[[[]]]]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[[[]]],[],[[[]],[]]]=>[[[],[[]]],[],[[[]]]]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[]]],[],[[[],[]]]]=>[[[[],[]]],[],[[[]]]]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[]]],[],[[[[]]]]]=>[[[[[]]]],[],[[[]]]]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[]],[[]],[],[],[]]=>[[],[],[],[[]],[[],[]]]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],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),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[[],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[]]]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[[]]],[[]],[[]],[]]=>[[],[[]],[[]],[[[]]]]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>([(0,7),(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)
[[[],[]],[[]],[[[]]]]=>[[[[]]],[[]],[[],[]]]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[[[]]],[[]],[[],[]]]=>[[[],[]],[[]],[[[]]]]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[[[]]],[[]],[[[]]]]=>[[[[]]],[[]],[[[]]]]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,6),(6,7)],8)
[[[],[]],[[],[]],[],[]]=>[[],[],[[],[]],[[],[]]]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[],[]],[[[]]],[],[]]=>[[],[],[[[]]],[[],[]]]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[]]],[[],[]],[],[]]=>[[],[],[[],[]],[[[]]]]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[]]],[[[]]],[],[]]=>[[],[],[[[]]],[[[]]]]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[],[]],[[],[]],[[]]]=>[[[]],[[],[]],[[],[]]]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[[],[]],[[[]]],[[]]]=>[[[]],[[[]]],[[],[]]]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[[[]]],[[],[]],[[]]]=>[[[]],[[],[]],[[[]]]]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[[[]]],[[[]]],[[]]]=>[[[]],[[[]]],[[[]]]]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>([(0,6),(1,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8)
[[[],[]],[[],[],[]],[]]=>[[],[[],[],[]],[[],[]]]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[],[]],[[],[[]]],[]]=>[[],[[[]],[]],[[],[]]]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[[],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[]]]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[],[]],[[[],[]]],[]]=>[[],[[[],[]]],[[],[]]]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[],[]],[[[[]]]],[]]=>[[],[[[[]]]],[[],[]]]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[]]],[[],[],[]],[]]=>[[],[[],[],[]],[[[]]]]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[]]],[[],[[]]],[]]=>[[],[[[]],[]],[[[]]]]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[[[]]],[[[]],[]],[]]=>[[],[[],[[]]],[[[]]]]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[]]],[[[],[]]],[]]=>[[],[[[],[]]],[[[]]]]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[]]],[[[[]]]],[]]=>[[],[[[[]]]],[[[]]]]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[],[]],[[],[],[],[]]]=>[[[],[],[],[]],[[],[]]]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[]],[[],[],[[]]]]=>[[[[]],[],[]],[[],[]]]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[],[]],[[],[[]],[]]]=>[[[],[[]],[]],[[],[]]]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[[],[]],[[],[[],[]]]]=>[[[[],[]],[]],[[],[]]]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[],[]],[[],[[[]]]]]=>[[[[[]]],[]],[[],[]]]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[],[]],[[[]],[],[]]]=>[[[],[],[[]]],[[],[]]]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[]],[[[]],[[]]]]=>[[[[]],[[]]],[[],[]]]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[],[]],[[[],[]],[]]]=>[[[],[[],[]]],[[],[]]]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[]],[[[[]]],[]]]=>[[[],[[[]]]],[[],[]]]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[]],[[[],[],[]]]]=>[[[[],[],[]]],[[],[]]]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[]],[[[],[[]]]]]=>[[[[[]],[]]],[[],[]]]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[[],[]],[[[[]],[]]]]=>[[[[],[[]]]],[[],[]]]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[]],[[[[],[]]]]]=>[[[[[],[]]]],[[],[]]]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[]],[[[[[]]]]]]=>[[[[[[]]]]],[[],[]]]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[]]],[[],[],[],[]]]=>[[[],[],[],[]],[[[]]]]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[]]],[[],[],[[]]]]=>[[[[]],[],[]],[[[]]]]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[[]]],[[],[[]],[]]]=>[[[],[[]],[]],[[[]]]]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[[[]]],[[],[[],[]]]]=>[[[[],[]],[]],[[[]]]]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[[]]],[[],[[[]]]]]=>[[[[[]]],[]],[[[]]]]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[[]]],[[[]],[],[]]]=>[[[],[],[[]]],[[[]]]]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[]]],[[[]],[[]]]]=>[[[[]],[[]]],[[[]]]]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>([(0,7),(1,3),(2,4),(3,7),(4,5),(5,6),(7,6)],8)
[[[[]]],[[[],[]],[]]]=>[[[],[[],[]]],[[[]]]]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[]]],[[[[]]],[]]]=>[[[],[[[]]]],[[[]]]]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[]]],[[[],[],[]]]]=>[[[[],[],[]]],[[[]]]]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[]]],[[[],[[]]]]]=>[[[[[]],[]]],[[[]]]]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[[[]]],[[[[]],[]]]]=>[[[[],[[]]]],[[[]]]]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[]]],[[[[],[]]]]]=>[[[[[],[]]]],[[[]]]]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[]]],[[[[[]]]]]]=>[[[[[[]]]]],[[[]]]]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[],[]],[],[],[],[]]=>[[],[],[],[],[[],[],[]]]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[],[[]]],[],[],[],[]]=>[[],[],[],[],[[[]],[]]]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[]],[]],[],[],[],[]]=>[[],[],[],[],[[],[[]]]]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[]]],[],[],[],[]]=>[[],[],[],[],[[[],[]]]]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[]]]],[],[],[],[]]=>[[],[],[],[],[[[[]]]]]=>[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>([(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),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[[[]],[]],[],[],[[]]]=>[[[]],[],[],[[],[[]]]]=>[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[],[]]],[],[],[[]]]=>[[[]],[],[],[[[],[]]]]=>[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],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),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[[[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[]]]]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[],[]]],[],[[]],[]]=>[[],[[]],[],[[[],[]]]]=>[.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],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)
[[[],[],[]],[],[[[]]]]=>[[[[]]],[],[[],[],[]]]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[],[[]]],[],[[],[]]]=>[[[],[]],[],[[[]],[]]]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[[],[[]]],[],[[[]]]]=>[[[[]]],[],[[[]],[]]]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[[[]],[]],[],[[],[]]]=>[[[],[]],[],[[],[[]]]]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[]],[]],[],[[[]]]]=>[[[[]]],[],[[],[[]]]]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[],[]]],[],[[],[]]]=>[[[],[]],[],[[[],[]]]]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[],[]]],[],[[[]]]]=>[[[[]]],[],[[[],[]]]]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[[]]]],[],[[],[]]]=>[[[],[]],[],[[[[]]]]]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[[]]]],[],[[[]]]]=>[[[[]]],[],[[[[]]]]]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[],[],[]],[[]],[],[]]=>[[],[],[[]],[[],[],[]]]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[]]],[[]],[],[]]=>[[],[],[[]],[[[]],[]]]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[[[]],[]],[[]],[],[]]=>[[],[],[[]],[[],[[]]]]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[],[]]],[[]],[],[]]=>[[],[],[[]],[[[],[]]]]=>[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],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),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8)
[[[[]],[]],[[]],[[]]]=>[[[]],[[]],[[],[[]]]]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[[[],[]]],[[]],[[]]]=>[[[]],[[]],[[[],[]]]]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(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)
[[[],[],[]],[[[]]],[]]=>[[],[[[]]],[[],[],[]]]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[],[[]]],[[],[]],[]]=>[[],[[],[]],[[[]],[]]]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[[],[[]]],[[[]]],[]]=>[[],[[[]]],[[[]],[]]]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[[[]],[]],[[],[]],[]]=>[[],[[],[]],[[],[[]]]]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[]],[]],[[[]]],[]]=>[[],[[[]]],[[],[[]]]]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[],[]]],[[],[]],[]]=>[[],[[],[]],[[[],[]]]]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[],[]]],[[[]]],[]]=>[[],[[[]]],[[[],[]]]]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[[]]]],[[],[]],[]]=>[[],[[],[]],[[[[]]]]]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[[]]]],[[[]]],[]]=>[[],[[[]]],[[[[]]]]]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[],[],[]],[[],[],[]]]=>[[[],[],[]],[[],[],[]]]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[],[]],[[],[[]]]]=>[[[[]],[]],[[],[],[]]]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[[],[],[]],[[[]],[]]]=>[[[],[[]]],[[],[],[]]]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[],[]],[[[],[]]]]=>[[[[],[]]],[[],[],[]]]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[],[]],[[[[]]]]]=>[[[[[]]]],[[],[],[]]]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[[]]],[[],[],[]]]=>[[[],[],[]],[[[]],[]]]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[[],[[]]],[[],[[]]]]=>[[[[]],[]],[[[]],[]]]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,4)],8)
[[[],[[]]],[[[]],[]]]=>[[[],[[]]],[[[]],[]]]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[[],[[]]],[[[],[]]]]=>[[[[],[]]],[[[]],[]]]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[[],[[]]],[[[[]]]]]=>[[[[[]]]],[[[]],[]]]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>([(0,6),(1,6),(2,3),(3,5),(4,7),(5,7),(6,4)],8)
[[[[]],[]],[[],[],[]]]=>[[[],[],[]],[[],[[]]]]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[]],[]],[[],[[]]]]=>[[[[]],[]],[[],[[]]]]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[[[]],[]],[[[]],[]]]=>[[[],[[]]],[[],[[]]]]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[]],[]],[[[],[]]]]=>[[[[],[]]],[[],[[]]]]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[]],[]],[[[[]]]]]=>[[[[[]]]],[[],[[]]]]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[],[]]],[[],[],[]]]=>[[[],[],[]],[[[],[]]]]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[],[]]],[[],[[]]]]=>[[[[]],[]],[[[],[]]]]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[[[],[]]],[[[]],[]]]=>[[[],[[]]],[[[],[]]]]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[],[]]],[[[],[]]]]=>[[[[],[]]],[[[],[]]]]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[],[]]],[[[[]]]]]=>[[[[[]]]],[[[],[]]]]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[[]]]],[[],[],[]]]=>[[[],[],[]],[[[[]]]]]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[[]]]],[[],[[]]]]=>[[[[]],[]],[[[[]]]]]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8)
[[[[[]]]],[[[]],[]]]=>[[[],[[]]],[[[[]]]]]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[[]]]],[[[],[]]]]=>[[[[],[]]],[[[[]]]]]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[[[]]]],[[[[]]]]]=>[[[[[]]]],[[[[]]]]]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[[],[],[],[]],[],[],[]]=>[[],[],[],[[],[],[],[]]]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[],[],[[]]],[],[],[]]=>[[],[],[],[[[]],[],[]]]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[],[[]],[]],[],[],[]]=>[[],[],[],[[],[[]],[]]]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[],[[],[]]],[],[],[]]=>[[],[],[],[[[],[]],[]]]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[],[[[]]]],[],[],[]]=>[[],[],[],[[[[]]],[]]]=>[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[]],[],[]],[],[],[]]=>[[],[],[],[[],[],[[]]]]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[]],[[]]],[],[],[]]=>[[],[],[],[[[]],[[]]]]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[],[]],[]],[],[],[]]=>[[],[],[],[[],[[],[]]]]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[]]],[]],[],[],[]]=>[[],[],[],[[],[[[]]]]]=>[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[],[]]],[],[],[]]=>[[],[],[],[[[],[],[]]]]=>[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[[]]]],[],[],[]]=>[[],[],[],[[[[]],[]]]]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[]],[]]],[],[],[]]=>[[],[],[],[[[],[[]]]]]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[]]]],[],[],[]]=>[[],[],[],[[[[],[]]]]]=>[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[]]]]],[],[],[]]=>[[],[],[],[[[[[]]]]]]=>[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>([(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),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[],[[]],[]],[],[[]]]=>[[[]],[],[[],[[]],[]]]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[[],[[],[]]],[],[[]]]=>[[[]],[],[[[],[]],[]]]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[],[[[]]]],[],[[]]]=>[[[]],[],[[[[]]],[]]]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[[]],[],[]],[],[[]]]=>[[[]],[],[[],[],[[]]]]=>[[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[]],[[]]],[],[[]]]=>[[[]],[],[[[]],[[]]]]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[[],[]],[]],[],[[]]]=>[[[]],[],[[],[[],[]]]]=>[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[[]]],[]],[],[[]]]=>[[[]],[],[[],[[[]]]]]=>[[.,.],[.,[[.,[[[.,.],.],.]],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[],[],[]]],[],[[]]]=>[[[]],[],[[[],[],[]]]]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[],[[]]]],[],[[]]]=>[[[]],[],[[[[]],[]]]]=>[[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[[[[]],[]]],[],[[]]]=>[[[]],[],[[[],[[]]]]]=>[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[[],[]]]],[],[[]]]=>[[[]],[],[[[[],[]]]]]=>[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],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),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[]]]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[[],[[],[]]],[[]],[]]=>[[],[[]],[[[],[]],[]]]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[],[[[]]]],[[]],[]]=>[[],[[]],[[[[]]],[]]]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[[]],[],[]],[[]],[]]=>[[],[[]],[[],[],[[]]]]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[]],[[]]],[[]],[]]=>[[],[[]],[[[]],[[]]]]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[[]]],[]],[[]],[]]=>[[],[[]],[[],[[[]]]]]=>[.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[],[],[]]],[[]],[]]=>[[],[[]],[[[],[],[]]]]=>[.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[],[[]]]],[[]],[]]=>[[],[[]],[[[[]],[]]]]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[[[[]],[]]],[[]],[]]=>[[],[[]],[[[],[[]]]]]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[[],[]]]],[[]],[]]=>[[],[[]],[[[[],[]]]]]=>[.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],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)
[[[],[],[],[]],[[[]]]]=>[[[[]]],[[],[],[],[]]]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[],[],[[]]],[[],[]]]=>[[[],[]],[[[]],[],[]]]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[],[],[[]]],[[[]]]]=>[[[[]]],[[[]],[],[]]]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[],[[]],[]],[[],[]]]=>[[[],[]],[[],[[]],[]]]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[[],[[]],[]],[[[]]]]=>[[[[]]],[[],[[]],[]]]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[[],[[],[]]],[[],[]]]=>[[[],[]],[[[],[]],[]]]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[],[[],[]]],[[[]]]]=>[[[[]]],[[[],[]],[]]]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[],[[[]]]],[[],[]]]=>[[[],[]],[[[[]]],[]]]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[],[[[]]]],[[[]]]]=>[[[[]]],[[[[]]],[]]]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[[]],[],[]],[[],[]]]=>[[[],[]],[[],[],[[]]]]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[]],[],[]],[[[]]]]=>[[[[]]],[[],[],[[]]]]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[]],[[]]],[[],[]]]=>[[[],[]],[[[]],[[]]]]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[[]],[[]]],[[[]]]]=>[[[[]]],[[[]],[[]]]]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>([(0,6),(1,3),(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[[],[]],[]],[[],[]]]=>[[[],[]],[[],[[],[]]]]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[],[]],[]],[[[]]]]=>[[[[]]],[[],[[],[]]]]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[[]]],[]],[[],[]]]=>[[[],[]],[[],[[[]]]]]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[[]]],[]],[[[]]]]=>[[[[]]],[[],[[[]]]]]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[],[],[]]],[[],[]]]=>[[[],[]],[[[],[],[]]]]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[],[],[]]],[[[]]]]=>[[[[]]],[[[],[],[]]]]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[],[[]]]],[[],[]]]=>[[[],[]],[[[[]],[]]]]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[[[],[[]]]],[[[]]]]=>[[[[]]],[[[[]],[]]]]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(5,7),(6,4)],8)
[[[[[]],[]]],[[],[]]]=>[[[],[]],[[[],[[]]]]]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[[]],[]]],[[[]]]]=>[[[[]]],[[[],[[]]]]]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[[],[]]]],[[],[]]]=>[[[],[]],[[[[],[]]]]]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[[],[]]]],[[[]]]]=>[[[[]]],[[[[],[]]]]]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[[[]]]]],[[],[]]]=>[[[],[]],[[[[[]]]]]]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[[[[]]]]],[[[]]]]=>[[[[]]],[[[[[]]]]]]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[[],[],[],[],[]],[],[]]=>[[],[],[[],[],[],[],[]]]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[],[],[],[[]]],[],[]]=>[[],[],[[[]],[],[],[]]]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[],[],[[]],[]],[],[]]=>[[],[],[[],[[]],[],[]]]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[],[],[[],[]]],[],[]]=>[[],[],[[[],[]],[],[]]]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[],[],[[[]]]],[],[]]=>[[],[],[[[[]]],[],[]]]=>[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[],[[]],[],[]],[],[]]=>[[],[],[[],[],[[]],[]]]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[],[[]],[[]]],[],[]]=>[[],[],[[[]],[[]],[]]]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[],[[],[]],[]],[],[]]=>[[],[],[[],[[],[]],[]]]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[],[[[]]],[]],[],[]]=>[[],[],[[],[[[]]],[]]]=>[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[],[[],[],[]]],[],[]]=>[[],[],[[[],[],[]],[]]]=>[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[],[[],[[]]]],[],[]]=>[[],[],[[[[]],[]],[]]]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[],[[[]],[]]],[],[]]=>[[],[],[[[],[[]]],[]]]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[],[[[],[]]]],[],[]]=>[[],[],[[[[],[]]],[]]]=>[.,[.,[[[[.,[.,.]],.],[.,.]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[],[[[[]]]]],[],[]]=>[[],[],[[[[[]]]],[]]]=>[.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[]],[],[],[]],[],[]]=>[[],[],[[],[],[],[[]]]]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[]],[],[[]]],[],[]]=>[[],[],[[[]],[],[[]]]]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[]],[[]],[]],[],[]]=>[[],[],[[],[[]],[[]]]]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[]],[[],[]]],[],[]]=>[[],[],[[[],[]],[[]]]]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[]],[[[]]]],[],[]]=>[[],[],[[[[]]],[[]]]]=>[.,[.,[[[[.,.],.],[[.,.],.]],.]]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[],[]],[],[]],[],[]]=>[[],[],[[],[],[[],[]]]]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[]]],[],[]],[],[]]=>[[],[],[[],[],[[[]]]]]=>[.,[.,[[.,[.,[[[.,.],.],.]]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[]],[[]]],[],[]]=>[[],[],[[[]],[[],[]]]]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[]]],[[]]],[],[]]=>[[],[],[[[]],[[[]]]]]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[],[]],[]],[],[]]=>[[],[],[[],[[],[],[]]]]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[[]]],[]],[],[]]=>[[],[],[[],[[[]],[]]]]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[]],[]],[]],[],[]]=>[[],[],[[],[[],[[]]]]]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[]]],[]],[],[]]=>[[],[],[[],[[[],[]]]]]=>[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[]]]],[]],[],[]]=>[[],[],[[],[[[[]]]]]]=>[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[],[],[]]],[],[]]=>[[],[],[[[],[],[],[]]]]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[],[[]]]],[],[]]=>[[],[],[[[[]],[],[]]]]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[],[[]],[]]],[],[]]=>[[],[],[[[],[[]],[]]]]=>[.,[.,[[[.,[[.,.],[.,.]]],.],.]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[],[[],[]]]],[],[]]=>[[],[],[[[[],[]],[]]]]=>[.,[.,[[[[.,[.,.]],[.,.]],.],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[],[[[]]]]],[],[]]=>[[],[],[[[[[]]],[]]]]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[]],[],[]]],[],[]]=>[[],[],[[[],[],[[]]]]]=>[.,[.,[[[.,[.,[[.,.],.]]],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[]],[[]]]],[],[]]=>[[],[],[[[[]],[[]]]]]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[],[]],[]]],[],[]]=>[[],[],[[[],[[],[]]]]]=>[.,[.,[[[.,[[.,[.,.]],.]],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[]]],[]]],[],[]]=>[[],[],[[[],[[[]]]]]]=>[.,[.,[[[.,[[[.,.],.],.]],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[],[]]]],[],[]]=>[[],[],[[[[],[],[]]]]]=>[.,[.,[[[[.,[.,[.,.]]],.],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[[]]]]],[],[]]=>[[],[],[[[[[]],[]]]]]=>[.,[.,[[[[[.,.],[.,.]],.],.],.]]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[[]],[]]]],[],[]]=>[[],[],[[[[],[[]]]]]]=>[.,[.,[[[[.,[[.,.],.]],.],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[]]]]],[],[]]=>[[],[],[[[[[],[]]]]]]=>[.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[]]]]]],[],[]]=>[[],[],[[[[[[]]]]]]]=>[.,[.,[[[[[[.,.],.],.],.],.],.]]]=>([(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),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[[],[],[[]],[]],[[]]]=>[[[]],[[],[[]],[],[]]]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[],[],[[],[]]],[[]]]=>[[[]],[[[],[]],[],[]]]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[[],[],[[[]]]],[[]]]=>[[[]],[[[[]]],[],[]]]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[[],[[]],[],[]],[[]]]=>[[[]],[[],[],[[]],[]]]=>[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[[],[[]],[[]]],[[]]]=>[[[]],[[[]],[[]],[]]]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[[[],[[],[]],[]],[[]]]=>[[[]],[[],[[],[]],[]]]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[],[[[]]],[]],[[]]]=>[[[]],[[],[[[]]],[]]]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[],[[],[],[]]],[[]]]=>[[[]],[[[],[],[]],[]]]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[[],[[],[[]]]],[[]]]=>[[[]],[[[[]],[]],[]]]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>([(0,6),(1,7),(2,5),(3,5),(4,7),(5,6),(6,4)],8)
[[[],[[[]],[]]],[[]]]=>[[[]],[[[],[[]]],[]]]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[[],[[[],[]]]],[[]]]=>[[[]],[[[[],[]]],[]]]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[[],[[[[]]]]],[[]]]=>[[[]],[[[[[]]]],[]]]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[[[]],[],[],[]],[[]]]=>[[[]],[[],[],[],[[]]]]=>[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[]],[],[[]]],[[]]]=>[[[]],[[[]],[],[[]]]]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[[[]],[[]],[]],[[]]]=>[[[]],[[],[[]],[[]]]]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[[]],[[],[]]],[[]]]=>[[[]],[[[],[]],[[]]]]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[[[]],[[[]]]],[[]]]=>[[[]],[[[[]]],[[]]]]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(5,6),(7,5)],8)
[[[[],[]],[],[]],[[]]]=>[[[]],[[],[],[[],[]]]]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[[]]],[],[]],[[]]]=>[[[]],[[],[],[[[]]]]]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[],[]],[[]]],[[]]]=>[[[]],[[[]],[[],[]]]]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[[[[]]],[[]]],[[]]]=>[[[]],[[[]],[[[]]]]]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[[[],[],[]],[]],[[]]]=>[[[]],[[],[[],[],[]]]]=>[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[],[[]]],[]],[[]]]=>[[[]],[[],[[[]],[]]]]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[[[[]],[]],[]],[[]]]=>[[[]],[[],[[],[[]]]]]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[[],[]]],[]],[[]]]=>[[[]],[[],[[[],[]]]]]=>[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[[[]]]],[]],[[]]]=>[[[]],[[],[[[[]]]]]]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[],[],[],[]]],[[]]]=>[[[]],[[[],[],[],[]]]]=>[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[],[],[[]]]],[[]]]=>[[[]],[[[[]],[],[]]]]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[[],[[]],[]]],[[]]]=>[[[]],[[[],[[]],[]]]]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[[[],[[],[]]]],[[]]]=>[[[]],[[[[],[]],[]]]]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[[],[[[]]]]],[[]]]=>[[[]],[[[[[]]],[]]]]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[[[]],[],[]]],[[]]]=>[[[]],[[[],[],[[]]]]]=>[[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[[]],[[]]]],[[]]]=>[[[]],[[[[]],[[]]]]]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[[[],[]],[]]],[[]]]=>[[[]],[[[],[[],[]]]]]=>[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[[[]]],[]]],[[]]]=>[[[]],[[[],[[[]]]]]]=>[[.,.],[[[.,[[[.,.],.],.]],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[[],[],[]]]],[[]]]=>[[[]],[[[[],[],[]]]]]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[[],[[]]]]],[[]]]=>[[[]],[[[[[]],[]]]]]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[[[[[]],[]]]],[[]]]=>[[[]],[[[[],[[]]]]]]=>[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[[[],[]]]]],[[]]]=>[[[]],[[[[[],[]]]]]]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[[[[[]]]]]],[[]]]=>[[[]],[[[[[[]]]]]]]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[],[],[],[],[],[]],[]]=>[[],[[],[],[],[],[],[]]]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[],[],[],[],[[]]],[]]=>[[],[[[]],[],[],[],[]]]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[],[],[[]],[]],[]]=>[[],[[],[[]],[],[],[]]]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[],[],[],[[],[]]],[]]=>[[],[[[],[]],[],[],[]]]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[],[],[],[[[]]]],[]]=>[[],[[[[]]],[],[],[]]]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],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),(6,4),(7,6)],8)
[[[],[],[[],[]],[]],[]]=>[[],[[],[[],[]],[],[]]]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[],[],[[[]]],[]],[]]=>[[],[[],[[[]]],[],[]]]=>[.,[[.,[[[.,.],.],[.,[.,.]]]],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[],[],[[],[],[]]],[]]=>[[],[[[],[],[]],[],[]]]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[],[],[[],[[]]]],[]]=>[[],[[[[]],[]],[],[]]]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[[],[],[[[]],[]]],[]]=>[[],[[[],[[]]],[],[]]]=>[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[],[],[[[],[]]]],[]]=>[[],[[[[],[]]],[],[]]]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[],[],[[[[]]]]],[]]=>[[],[[[[[]]]],[],[]]]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],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),(6,4),(7,3)],8)
[[[],[[]],[[]],[]],[]]=>[[],[[],[[]],[[]],[]]]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[],[[]],[[],[]]],[]]=>[[],[[[],[]],[[]],[]]]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[[],[[]],[[[]]]],[]]=>[[],[[[[]]],[[]],[]]]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[[],[[],[]],[],[]],[]]=>[[],[[],[],[[],[]],[]]]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],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),(6,4),(7,6)],8)
[[[],[[[]]],[[]]],[]]=>[[],[[[]],[[[]]],[]]]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[],[[],[],[]],[]],[]]=>[[],[[],[[],[],[]],[]]]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[],[[],[[]]],[]],[]]=>[[],[[],[[[]],[]],[]]]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[],[[[]],[]],[]],[]]=>[[],[[],[[],[[]]],[]]]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[],[[[],[]]],[]],[]]=>[[],[[],[[[],[]]],[]]]=>[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[],[[[[]]]],[]],[]]=>[[],[[],[[[[]]]],[]]]=>[.,[[.,[[[[.,.],.],.],[.,.]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[],[[],[],[],[]]],[]]=>[[],[[[],[],[],[]],[]]]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[],[],[[]]]],[]]=>[[],[[[[]],[],[]],[]]]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[],[[],[[]],[]]],[]]=>[[],[[[],[[]],[]],[]]]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[[],[[],[[],[]]]],[]]=>[[],[[[[],[]],[]],[]]]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[],[[],[[[]]]]],[]]=>[[],[[[[[]]],[]],[]]]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[],[[[]],[],[]]],[]]=>[[],[[[],[],[[]]],[]]]=>[.,[[[.,[.,[[.,.],.]]],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[[]],[[]]]],[]]=>[[],[[[[]],[[]]],[]]]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[],[[[],[]],[]]],[]]=>[[],[[[],[[],[]]],[]]]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[[[]]],[]]],[]]=>[[],[[[],[[[]]]],[]]]=>[.,[[[.,[[[.,.],.],.]],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[[],[],[]]]],[]]=>[[],[[[[],[],[]]],[]]]=>[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[[],[[]]]]],[]]=>[[],[[[[[]],[]]],[]]]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[[],[[[[]],[]]]],[]]=>[[],[[[[],[[]]]],[]]]=>[.,[[[[.,[[.,.],.]],.],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[[[],[]]]]],[]]=>[[],[[[[[],[]]]],[]]]=>[.,[[[[[.,[.,.]],.],.],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[[[[]]]]]],[]]=>[[],[[[[[[]]]]],[]]]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[]],[],[],[],[]],[]]=>[[],[[],[],[],[],[[]]]]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[]],[],[],[[]]],[]]=>[[],[[[]],[],[],[[]]]]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[]],[],[[]],[]],[]]=>[[],[[],[[]],[],[[]]]]=>[.,[[.,[[.,.],[.,[[.,.],.]]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[]],[],[[],[]]],[]]=>[[],[[[],[]],[],[[]]]]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[]],[],[[[]]]],[]]=>[[],[[[[]]],[],[[]]]]=>[.,[[[[.,.],.],[.,[[.,.],.]]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],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),(6,4),(7,6)],8)
[[[[]],[[],[]],[]],[]]=>[[],[[],[[],[]],[[]]]]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[]],[[[]]],[]],[]]=>[[],[[],[[[]]],[[]]]]=>[.,[[.,[[[.,.],.],[[.,.],.]]],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[]],[[],[],[]]],[]]=>[[],[[[],[],[]],[[]]]]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[]],[[],[[]]]],[]]=>[[],[[[[]],[]],[[]]]]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[[[]],[[[]],[]]],[]]=>[[],[[[],[[]]],[[]]]]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[]],[[[],[]]]],[]]=>[[],[[[[],[]]],[[]]]]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[]],[[[[]]]]],[]]=>[[],[[[[[]]]],[[]]]]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[],[]],[],[],[]],[]]=>[[],[[],[],[],[[],[]]]]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[]]],[],[],[]],[]]=>[[],[[],[],[],[[[]]]]]=>[.,[[.,[.,[.,[[[.,.],.],.]]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[]],[],[[]]],[]]=>[[],[[[]],[],[[],[]]]]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[]]],[],[[]]],[]]=>[[],[[[]],[],[[[]]]]]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[],[]],[[]],[]],[]]=>[[],[[],[[]],[[],[]]]]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[]]],[[]],[]],[]]=>[[],[[],[[]],[[[]]]]]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[]],[[],[]]],[]]=>[[],[[[],[]],[[],[]]]]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[],[]],[[[]]]],[]]=>[[],[[[[]]],[[],[]]]]=>[.,[[[[.,.],.],[[.,[.,.]],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[[]]],[[],[]]],[]]=>[[],[[[],[]],[[[]]]]]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[[]]],[[[]]]],[]]=>[[],[[[[]]],[[[]]]]]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[],[],[]],[],[]],[]]=>[[],[[],[],[[],[],[]]]]=>[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[[]]],[],[]],[]]=>[[],[[],[],[[[]],[]]]]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[]],[]],[],[]],[]]=>[[],[[],[],[[],[[]]]]]=>[.,[[.,[.,[[.,[[.,.],.]],.]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[]]],[],[]],[]]=>[[],[[],[],[[[],[]]]]]=>[.,[[.,[.,[[[.,[.,.]],.],.]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[]]]],[],[]],[]]=>[[],[[],[],[[[[]]]]]]=>[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[],[]],[[]]],[]]=>[[],[[[]],[[],[],[]]]]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[],[[]]],[[]]],[]]=>[[],[[[]],[[[]],[]]]]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[[[[]],[]],[[]]],[]]=>[[],[[[]],[[],[[]]]]]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[],[]]],[[]]],[]]=>[[],[[[]],[[[],[]]]]]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[[]]]],[[]]],[]]=>[[],[[[]],[[[[]]]]]]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[],[],[],[]],[]],[]]=>[[],[[],[[],[],[],[]]]]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[],[[]]],[]],[]]=>[[],[[],[[[]],[],[]]]]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[],[[]],[]],[]],[]]=>[[],[[],[[],[[]],[]]]]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[],[[],[]]],[]],[]]=>[[],[[],[[[],[]],[]]]]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[],[[[]]]],[]],[]]=>[[],[[],[[[[]]],[]]]]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[]],[],[]],[]],[]]=>[[],[[],[[],[],[[]]]]]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[]],[[]]],[]],[]]=>[[],[[],[[[]],[[]]]]]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[],[]],[]],[]],[]]=>[[],[[],[[],[[],[]]]]]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[]]],[]],[]],[]]=>[[],[[],[[],[[[]]]]]]=>[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[],[]]],[]],[]]=>[[],[[],[[[],[],[]]]]]=>[.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[[]]]],[]],[]]=>[[],[[],[[[[]],[]]]]]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[[]],[]]],[]],[]]=>[[],[[],[[[],[[]]]]]]=>[.,[[.,[[[.,[[.,.],.]],.],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[]]]],[]],[]]=>[[],[[],[[[[],[]]]]]]=>[.,[[.,[[[[.,[.,.]],.],.],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[]]]]],[]],[]]=>[[],[[],[[[[[]]]]]]]=>[.,[[.,[[[[[.,.],.],.],.],.]],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[],[],[],[]]],[]]=>[[],[[[],[],[],[],[]]]]=>[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[],[],[[]]]],[]]=>[[],[[[[]],[],[],[]]]]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[],[[]],[]]],[]]=>[[],[[[],[[]],[],[]]]]=>[.,[[[.,[[.,.],[.,[.,.]]]],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[],[],[[],[]]]],[]]=>[[],[[[[],[]],[],[]]]]=>[.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[],[],[[[]]]]],[]]=>[[],[[[[[]]],[],[]]]]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[],[[]],[],[]]],[]]=>[[],[[[],[],[[]],[]]]]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[],[[]],[[]]]],[]]=>[[],[[[[]],[[]],[]]]]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[[],[[],[]],[]]],[]]=>[[],[[[],[[],[]],[]]]]=>[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[],[[[]]],[]]],[]]=>[[],[[[],[[[]]],[]]]]=>[.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[],[[],[],[]]]],[]]=>[[],[[[[],[],[]],[]]]]=>[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[[],[[]]]]],[]]=>[[],[[[[[]],[]],[]]]]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[[],[[[]],[]]]],[]]=>[[],[[[[],[[]]],[]]]]=>[.,[[[[.,[[.,.],.]],[.,.]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[[[],[]]]]],[]]=>[[],[[[[[],[]]],[]]]]=>[.,[[[[[.,[.,.]],.],[.,.]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[[[[]]]]]],[]]=>[[],[[[[[[]]]],[]]]]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[]],[],[],[]]],[]]=>[[],[[[],[],[],[[]]]]]=>[.,[[[.,[.,[.,[[.,.],.]]]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[]],[],[[]]]],[]]=>[[],[[[[]],[],[[]]]]]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[]],[[]],[]]],[]]=>[[],[[[],[[]],[[]]]]]=>[.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[]],[[],[]]]],[]]=>[[],[[[[],[]],[[]]]]]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[[]],[[[]]]]],[]]=>[[],[[[[[]]],[[]]]]]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[[],[]],[],[]]],[]]=>[[],[[[],[],[[],[]]]]]=>[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[]]],[],[]]],[]]=>[[],[[[],[],[[[]]]]]]=>[.,[[[.,[.,[[[.,.],.],.]]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[]],[[]]]],[]]=>[[],[[[[]],[[],[]]]]]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[[]]],[[]]]],[]]=>[[],[[[[]],[[[]]]]]]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[],[],[]],[]]],[]]=>[[],[[[],[[],[],[]]]]]=>[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[[]]],[]]],[]]=>[[],[[[],[[[]],[]]]]]=>[.,[[[.,[[[.,.],[.,.]],.]],.],.]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[[]],[]],[]]],[]]=>[[],[[[],[[],[[]]]]]]=>[.,[[[.,[[.,[[.,.],.]],.]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[]]],[]]],[]]=>[[],[[[],[[[],[]]]]]]=>[.,[[[.,[[[.,[.,.]],.],.]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[]]]],[]]],[]]=>[[],[[[],[[[[]]]]]]]=>[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[],[],[]]]],[]]=>[[],[[[[],[],[],[]]]]]=>[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[],[[]]]]],[]]=>[[],[[[[[]],[],[]]]]]=>[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[],[[]],[]]]],[]]=>[[],[[[[],[[]],[]]]]]=>[.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[],[[],[]]]]],[]]=>[[],[[[[[],[]],[]]]]]=>[.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[],[[[]]]]]],[]]=>[[],[[[[[[]]],[]]]]]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[[]],[],[]]]],[]]=>[[],[[[[],[],[[]]]]]]=>[.,[[[[.,[.,[[.,.],.]]],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[]],[[]]]]],[]]=>[[],[[[[[]],[[]]]]]]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[[],[]],[]]]],[]]=>[[],[[[[],[[],[]]]]]]=>[.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[]]],[]]]],[]]=>[[],[[[[],[[[]]]]]]]=>[.,[[[[.,[[[.,.],.],.]],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[],[]]]]],[]]=>[[],[[[[[],[],[]]]]]]=>[.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[[]]]]]],[]]=>[[],[[[[[[]],[]]]]]]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[[[]],[]]]]],[]]=>[[],[[[[[],[[]]]]]]]=>[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[],[]]]]]],[]]=>[[],[[[[[[],[]]]]]]]=>[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[[]]]]]]],[]]=>[[],[[[[[[[]]]]]]]]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[],[],[],[],[],[],[]]]=>[[[],[],[],[],[],[],[]]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[],[],[],[],[],[[]]]]=>[[[[]],[],[],[],[],[]]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[],[],[],[[]],[]]]=>[[[],[[]],[],[],[],[]]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[],[],[],[[],[]]]]=>[[[[],[]],[],[],[],[]]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[],[],[],[],[[[]]]]]=>[[[[[]]],[],[],[],[]]]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[],[],[],[[]],[],[]]]=>[[[],[],[[]],[],[],[]]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[],[],[],[[]],[[]]]]=>[[[[]],[[]],[],[],[]]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[],[],[],[[],[]],[]]]=>[[[],[[],[]],[],[],[]]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[],[],[],[[[]]],[]]]=>[[[],[[[]]],[],[],[]]]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[],[],[],[[],[],[]]]]=>[[[[],[],[]],[],[],[]]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[],[],[],[[],[[]]]]]=>[[[[[]],[]],[],[],[]]]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[[],[],[],[[[]],[]]]]=>[[[[],[[]]],[],[],[]]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[],[],[],[[[],[]]]]]=>[[[[[],[]]],[],[],[]]]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[],[],[],[[[[]]]]]]=>[[[[[[]]]],[],[],[]]]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[],[],[[]],[],[],[]]]=>[[[],[],[],[[]],[],[]]]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[],[],[[]],[],[[]]]]=>[[[[]],[],[[]],[],[]]]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[],[],[[]],[[]],[]]]=>[[[],[[]],[[]],[],[]]]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[],[],[[]],[[],[]]]]=>[[[[],[]],[[]],[],[]]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[],[],[[]],[[[]]]]]=>[[[[[]]],[[]],[],[]]]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[],[],[[],[]],[],[]]]=>[[[],[],[[],[]],[],[]]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[],[],[[[]]],[],[]]]=>[[[],[],[[[]]],[],[]]]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[],[],[[],[]],[[]]]]=>[[[[]],[[],[]],[],[]]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[[],[],[[[]]],[[]]]]=>[[[[]],[[[]]],[],[]]]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[[],[],[[],[],[]],[]]]=>[[[],[[],[],[]],[],[]]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[],[],[[],[[]]],[]]]=>[[[],[[[]],[]],[],[]]]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[[],[],[[[]],[]],[]]]=>[[[],[[],[[]]],[],[]]]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[],[],[[[],[]]],[]]]=>[[[],[[[],[]]],[],[]]]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[],[],[[[[]]]],[]]]=>[[[],[[[[]]]],[],[]]]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[],[],[[],[],[],[]]]]=>[[[[],[],[],[]],[],[]]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[],[],[[],[],[[]]]]]=>[[[[[]],[],[]],[],[]]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[],[],[[],[[]],[]]]]=>[[[[],[[]],[]],[],[]]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[[],[],[[],[[],[]]]]]=>[[[[[],[]],[]],[],[]]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[],[],[[],[[[]]]]]]=>[[[[[[]]],[]],[],[]]]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[],[],[[[]],[],[]]]]=>[[[[],[],[[]]],[],[]]]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[],[],[[[]],[[]]]]]=>[[[[[]],[[]]],[],[]]]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[],[],[[[],[]],[]]]]=>[[[[],[[],[]]],[],[]]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[],[],[[[[]]],[]]]]=>[[[[],[[[]]]],[],[]]]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[],[],[[[],[],[]]]]]=>[[[[[],[],[]]],[],[]]]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[],[],[[[],[[]]]]]]=>[[[[[[]],[]]],[],[]]]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[[],[],[[[[]],[]]]]]=>[[[[[],[[]]]],[],[]]]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[],[],[[[[],[]]]]]]=>[[[[[[],[]]]],[],[]]]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[],[],[[[[[]]]]]]]=>[[[[[[[]]]]],[],[]]]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[],[[]],[],[],[],[]]]=>[[[],[],[],[],[[]],[]]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[],[[]],[],[],[[]]]]=>[[[[]],[],[],[[]],[]]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[[],[[]],[],[[]],[]]]=>[[[],[[]],[],[[]],[]]]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[[],[[]],[],[[],[]]]]=>[[[[],[]],[],[[]],[]]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[[],[[]],[],[[[]]]]]=>[[[[[]]],[],[[]],[]]]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[[],[[]],[[]],[],[]]]=>[[[],[],[[]],[[]],[]]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[],[[]],[[]],[[]]]]=>[[[[]],[[]],[[]],[]]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[[[],[[]],[[],[]],[]]]=>[[[],[[],[]],[[]],[]]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[[],[[]],[[[]]],[]]]=>[[[],[[[]]],[[]],[]]]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[[],[[]],[[],[],[]]]]=>[[[[],[],[]],[[]],[]]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[[],[[]],[[],[[]]]]]=>[[[[[]],[]],[[]],[]]]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,5),(3,5),(5,7),(6,7),(7,4)],8)
[[[],[[]],[[[]],[]]]]=>[[[[],[[]]],[[]],[]]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[[],[[]],[[[],[]]]]]=>[[[[[],[]]],[[]],[]]]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[[],[[]],[[[[]]]]]]=>[[[[[[]]]],[[]],[]]]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[[],[[],[]],[],[],[]]]=>[[[],[],[],[[],[]],[]]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[],[[[]]],[],[],[]]]=>[[[],[],[],[[[]]],[]]]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[],[[],[]],[],[[]]]]=>[[[[]],[],[[],[]],[]]]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[],[[[]]],[],[[]]]]=>[[[[]],[],[[[]]],[]]]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[],[[],[]],[[]],[]]]=>[[[],[[]],[[],[]],[]]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[],[[[]]],[[]],[]]]=>[[[],[[]],[[[]]],[]]]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[],[[],[]],[[],[]]]]=>[[[[],[]],[[],[]],[]]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[],[[],[]],[[[]]]]]=>[[[[[]]],[[],[]],[]]]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[],[[[]]],[[],[]]]]=>[[[[],[]],[[[]]],[]]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[],[[[]]],[[[]]]]]=>[[[[[]]],[[[]]],[]]]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[],[[],[],[]],[],[]]]=>[[[],[],[[],[],[]],[]]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[],[[],[[]]],[],[]]]=>[[[],[],[[[]],[]],[]]]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[],[[[]],[]],[],[]]]=>[[[],[],[[],[[]]],[]]]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[],[[[],[]]],[],[]]]=>[[[],[],[[[],[]]],[]]]=>[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[],[[[[]]]],[],[]]]=>[[[],[],[[[[]]]],[]]]=>[[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[],[[],[],[]],[[]]]]=>[[[[]],[[],[],[]],[]]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[],[[],[[]]],[[]]]]=>[[[[]],[[[]],[]],[]]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[[[],[[[]],[]],[[]]]]=>[[[[]],[[],[[]]],[]]]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[],[[[],[]]],[[]]]]=>[[[[]],[[[],[]]],[]]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[],[[[[]]]],[[]]]]=>[[[[]],[[[[]]]],[]]]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[],[[],[],[],[]],[]]]=>[[[],[[],[],[],[]],[]]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[],[],[[]]],[]]]=>[[[],[[[]],[],[]],[]]]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[],[[],[[]],[]],[]]]=>[[[],[[],[[]],[]],[]]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[[],[[],[[],[]]],[]]]=>[[[],[[[],[]],[]],[]]]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[],[[],[[[]]]],[]]]=>[[[],[[[[]]],[]],[]]]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[],[[[]],[],[]],[]]]=>[[[],[[],[],[[]]],[]]]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[[]],[[]]],[]]]=>[[[],[[[]],[[]]],[]]]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[],[[[],[]],[]],[]]]=>[[[],[[],[[],[]]],[]]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[[[]]],[]],[]]]=>[[[],[[],[[[]]]],[]]]=>[[.,[[.,[[[.,.],.],.]],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[[],[],[]]],[]]]=>[[[],[[[],[],[]]],[]]]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[[],[[]]]],[]]]=>[[[],[[[[]],[]]],[]]]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[[],[[[[]],[]]],[]]]=>[[[],[[[],[[]]]],[]]]=>[[.,[[[.,[[.,.],.]],.],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[[[],[]]]],[]]]=>[[[],[[[[],[]]]],[]]]=>[[.,[[[[.,[.,.]],.],.],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[[[[]]]]],[]]]=>[[[],[[[[[]]]]],[]]]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[],[[],[],[],[],[]]]]=>[[[[],[],[],[],[]],[]]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[[],[],[],[[]]]]]=>[[[[[]],[],[],[]],[]]]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[],[[],[],[[]],[]]]]=>[[[[],[[]],[],[]],[]]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[],[[],[],[[],[]]]]]=>[[[[[],[]],[],[]],[]]]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[[],[[],[],[[[]]]]]]=>[[[[[[]]],[],[]],[]]]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[[],[[],[[]],[],[]]]]=>[[[[],[],[[]],[]],[]]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[[],[[],[[]],[[]]]]]=>[[[[[]],[[]],[]],[]]]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[[[],[[],[[],[]],[]]]]=>[[[[],[[],[]],[]],[]]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[],[[],[[[]]],[]]]]=>[[[[],[[[]]],[]],[]]]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[],[[],[[],[],[]]]]]=>[[[[[],[],[]],[]],[]]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[],[[],[[],[[]]]]]]=>[[[[[[]],[]],[]],[]]]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[[[],[[],[[[]],[]]]]]=>[[[[[],[[]]],[]],[]]]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[],[[],[[[],[]]]]]]=>[[[[[[],[]]],[]],[]]]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[],[[],[[[[]]]]]]]=>[[[[[[[]]]],[]],[]]]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[],[[[]],[],[],[]]]]=>[[[[],[],[],[[]]],[]]]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[[[]],[],[[]]]]]=>[[[[[]],[],[[]]],[]]]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[],[[[]],[[]],[]]]]=>[[[[],[[]],[[]]],[]]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[],[[[]],[[],[]]]]]=>[[[[[],[]],[[]]],[]]]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[[],[[[]],[[[]]]]]]=>[[[[[[]]],[[]]],[]]]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[[],[[[],[]],[],[]]]]=>[[[[],[],[[],[]]],[]]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[[[[]]],[],[]]]]=>[[[[],[],[[[]]]],[]]]=>[[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[[[],[]],[[]]]]]=>[[[[[]],[[],[]]],[]]]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[],[[[[]]],[[]]]]]=>[[[[[]],[[[]]]],[]]]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[],[[[],[],[]],[]]]]=>[[[[],[[],[],[]]],[]]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[[[],[[]]],[]]]]=>[[[[],[[[]],[]]],[]]]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[[],[[[[]],[]],[]]]]=>[[[[],[[],[[]]]],[]]]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[[[[],[]]],[]]]]=>[[[[],[[[],[]]]],[]]]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[[[[[]]]],[]]]]=>[[[[],[[[[]]]]],[]]]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[[[],[],[],[]]]]]=>[[[[[],[],[],[]]],[]]]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[[[],[],[[]]]]]]=>[[[[[[]],[],[]]],[]]]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[],[[[],[[]],[]]]]]=>[[[[[],[[]],[]]],[]]]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[[],[[[],[[],[]]]]]]=>[[[[[[],[]],[]]],[]]]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[],[[[],[[[]]]]]]]=>[[[[[[[]]],[]]],[]]]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[],[[[[]],[],[]]]]]=>[[[[[],[],[[]]]],[]]]=>[[[[.,[.,[[.,.],.]]],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[[[[]],[[]]]]]]=>[[[[[[]],[[]]]],[]]]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[],[[[[],[]],[]]]]]=>[[[[[],[[],[]]]],[]]]=>[[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[[[[[]]],[]]]]]=>[[[[[],[[[]]]]],[]]]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[[[[],[],[]]]]]]=>[[[[[[],[],[]]]],[]]]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[[[[],[[]]]]]]]=>[[[[[[[]],[]]]],[]]]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[[],[[[[[]],[]]]]]]=>[[[[[[],[[]]]]],[]]]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[[[[[],[]]]]]]]=>[[[[[[[],[]]]]],[]]]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[],[[[[[[]]]]]]]]=>[[[[[[[[]]]]]],[]]]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[]],[],[],[],[],[]]]=>[[[],[],[],[],[],[[]]]]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[]],[],[],[],[[]]]]=>[[[[]],[],[],[],[[]]]]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[]],[],[],[[]],[]]]=>[[[],[[]],[],[],[[]]]]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[]],[],[],[[],[]]]]=>[[[[],[]],[],[],[[]]]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[]],[],[],[[[]]]]]=>[[[[[]]],[],[],[[]]]]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[]],[],[[]],[],[]]]=>[[[],[],[[]],[],[[]]]]=>[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[]],[],[[]],[[]]]]=>[[[[]],[[]],[],[[]]]]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[[]],[],[[],[]],[]]]=>[[[],[[],[]],[],[[]]]]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[]],[],[[[]]],[]]]=>[[[],[[[]]],[],[[]]]]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[]],[],[[],[],[]]]]=>[[[[],[],[]],[],[[]]]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[]],[],[[],[[]]]]]=>[[[[[]],[]],[],[[]]]]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[[[]],[],[[[]],[]]]]=>[[[[],[[]]],[],[[]]]]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[]],[],[[[],[]]]]]=>[[[[[],[]]],[],[[]]]]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[]],[],[[[[]]]]]]=>[[[[[[]]]],[],[[]]]]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[]],[[]],[],[],[]]]=>[[[],[],[],[[]],[[]]]]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[]],[[]],[],[[]]]]=>[[[[]],[],[[]],[[]]]]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[[]],[[]],[[]],[]]]=>[[[],[[]],[[]],[[]]]]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[[]],[[]],[[],[]]]]=>[[[[],[]],[[]],[[]]]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[[]],[[]],[[[]]]]]=>[[[[[]]],[[]],[[]]]]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[[]],[[],[]],[],[]]]=>[[[],[],[[],[]],[[]]]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[]],[[[]]],[],[]]]=>[[[],[],[[[]]],[[]]]]=>[[.,[.,[[[.,.],.],[[.,.],.]]]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[]],[[],[]],[[]]]]=>[[[[]],[[],[]],[[]]]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[[[]],[[[]]],[[]]]]=>[[[[]],[[[]]],[[]]]]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>([(0,6),(1,4),(2,3),(3,7),(4,7),(6,5),(7,6)],8)
[[[[]],[[],[],[]],[]]]=>[[[],[[],[],[]],[[]]]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[]],[[],[[]]],[]]]=>[[[],[[[]],[]],[[]]]]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[[[]],[[[]],[]],[]]]=>[[[],[[],[[]]],[[]]]]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[]],[[[],[]]],[]]]=>[[[],[[[],[]]],[[]]]]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[]],[[[[]]]],[]]]=>[[[],[[[[]]]],[[]]]]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[]],[[],[],[],[]]]]=>[[[[],[],[],[]],[[]]]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[]],[[],[],[[]]]]]=>[[[[[]],[],[]],[[]]]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[[]],[[],[[]],[]]]]=>[[[[],[[]],[]],[[]]]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[[[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[]]]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[[]],[[],[[[]]]]]]=>[[[[[[]]],[]],[[]]]]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[[]],[[[]],[],[]]]]=>[[[[],[],[[]]],[[]]]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[]],[[[]],[[]]]]]=>[[[[[]],[[]]],[[]]]]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>([(0,6),(1,3),(2,5),(3,7),(5,6),(6,7),(7,4)],8)
[[[[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[]]]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[]],[[[[]]],[]]]]=>[[[[],[[[]]]],[[]]]]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[]],[[[],[],[]]]]]=>[[[[[],[],[]]],[[]]]]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[]],[[[],[[]]]]]]=>[[[[[[]],[]]],[[]]]]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[[[]],[[[[]],[]]]]]=>[[[[[],[[]]]],[[]]]]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[]],[[[[],[]]]]]]=>[[[[[[],[]]]],[[]]]]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[]],[[[[[]]]]]]]=>[[[[[[[]]]]],[[]]]]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[],[]],[],[],[],[]]]=>[[[],[],[],[],[[],[]]]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[]]],[],[],[],[]]]=>[[[],[],[],[],[[[]]]]]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[]],[],[],[[]]]]=>[[[[]],[],[],[[],[]]]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[[]]],[],[],[[]]]]=>[[[[]],[],[],[[[]]]]]=>[[[.,.],[.,[.,[[[.,.],.],.]]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[],[]],[],[[]],[]]]=>[[[],[[]],[],[[],[]]]]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[]]],[],[[]],[]]]=>[[[],[[]],[],[[[]]]]]=>[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[],[]],[],[[],[]]]]=>[[[[],[]],[],[[],[]]]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[],[]],[],[[[]]]]]=>[[[[[]]],[],[[],[]]]]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[[]]],[],[[],[]]]]=>[[[[],[]],[],[[[]]]]]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[[]]],[],[[[]]]]]=>[[[[[]]],[],[[[]]]]]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[],[]],[[]],[],[]]]=>[[[],[],[[]],[[],[]]]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[]]],[[]],[],[]]]=>[[[],[],[[]],[[[]]]]]=>[[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[]],[[]],[[]]]]=>[[[[]],[[]],[[],[]]]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[[[]]],[[]],[[]]]]=>[[[[]],[[]],[[[]]]]]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[[],[]],[[],[]],[]]]=>[[[],[[],[]],[[],[]]]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[],[]],[[[]]],[]]]=>[[[],[[[]]],[[],[]]]]=>[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[[]]],[[],[]],[]]]=>[[[],[[],[]],[[[]]]]]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[[]]],[[[]]],[]]]=>[[[],[[[]]],[[[]]]]]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[],[]],[[],[],[]]]]=>[[[[],[],[]],[[],[]]]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[],[]],[[],[[]]]]]=>[[[[[]],[]],[[],[]]]]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[[[],[]],[[[]],[]]]]=>[[[[],[[]]],[[],[]]]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[],[]],[[[],[]]]]]=>[[[[[],[]]],[[],[]]]]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[],[]],[[[[]]]]]]=>[[[[[[]]]],[[],[]]]]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[[]]],[[],[],[]]]]=>[[[[],[],[]],[[[]]]]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[[]]],[[],[[]]]]]=>[[[[[]],[]],[[[]]]]]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>([(0,6),(1,6),(2,4),(4,5),(5,7),(6,7),(7,3)],8)
[[[[[]]],[[[]],[]]]]=>[[[[],[[]]],[[[]]]]]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[[]]],[[[],[]]]]]=>[[[[[],[]]],[[[]]]]]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[[]]],[[[[]]]]]]=>[[[[[[]]]],[[[]]]]]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>([(0,6),(1,5),(2,7),(3,7),(5,2),(6,3),(7,4)],8)
[[[[],[],[]],[],[],[]]]=>[[[],[],[],[[],[],[]]]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[[]]],[],[],[]]]=>[[[],[],[],[[[]],[]]]]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[]],[]],[],[],[]]]=>[[[],[],[],[[],[[]]]]]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[]]],[],[],[]]]=>[[[],[],[],[[[],[]]]]]=>[[.,[.,[.,[[[.,[.,.]],.],.]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[]]]],[],[],[]]]=>[[[],[],[],[[[[]]]]]]=>[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[],[]],[],[[]]]]=>[[[[]],[],[[],[],[]]]]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[],[[]]],[],[[]]]]=>[[[[]],[],[[[]],[]]]]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[[[[]],[]],[],[[]]]]=>[[[[]],[],[[],[[]]]]]=>[[[.,.],[.,[[.,[[.,.],.]],.]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[[],[]]],[],[[]]]]=>[[[[]],[],[[[],[]]]]]=>[[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[[[]]]],[],[[]]]]=>[[[[]],[],[[[[]]]]]]=>[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[],[],[]],[[]],[]]]=>[[[],[[]],[[],[],[]]]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[],[[]]],[[]],[]]]=>[[[],[[]],[[[]],[]]]]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[[[[]],[]],[[]],[]]]=>[[[],[[]],[[],[[]]]]]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[],[]]],[[]],[]]]=>[[[],[[]],[[[],[]]]]]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[[]]]],[[]],[]]]=>[[[],[[]],[[[[]]]]]]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[],[],[]],[[],[]]]]=>[[[[],[]],[[],[],[]]]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[],[],[]],[[[]]]]]=>[[[[[]]],[[],[],[]]]]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[],[[]]],[[],[]]]]=>[[[[],[]],[[[]],[]]]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[[[],[[]]],[[[]]]]]=>[[[[[]]],[[[]],[]]]]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>([(0,6),(1,6),(2,3),(3,7),(5,7),(6,5),(7,4)],8)
[[[[[]],[]],[[],[]]]]=>[[[[],[]],[[],[[]]]]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[[]],[]],[[[]]]]]=>[[[[[]]],[[],[[]]]]]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[[],[]]],[[],[]]]]=>[[[[],[]],[[[],[]]]]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[[],[]]],[[[]]]]]=>[[[[[]]],[[[],[]]]]]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[[[]]]],[[],[]]]]=>[[[[],[]],[[[[]]]]]]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[[[]]]],[[[]]]]]=>[[[[[]]],[[[[]]]]]]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>([(0,6),(1,4),(2,7),(4,7),(5,2),(6,5),(7,3)],8)
[[[[],[],[],[]],[],[]]]=>[[[],[],[[],[],[],[]]]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[],[[]]],[],[]]]=>[[[],[],[[[]],[],[]]]]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[],[[]],[]],[],[]]]=>[[[],[],[[],[[]],[]]]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[],[[],[]]],[],[]]]=>[[[],[],[[[],[]],[]]]]=>[[.,[.,[[[.,[.,.]],[.,.]],.]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[],[[[]]]],[],[]]]=>[[[],[],[[[[]]],[]]]]=>[[.,[.,[[[[.,.],.],[.,.]],.]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[]],[],[]],[],[]]]=>[[[],[],[[],[],[[]]]]]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[]],[[]]],[],[]]]=>[[[],[],[[[]],[[]]]]]=>[[.,[.,[[[.,.],[[.,.],.]],.]]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[],[]],[]],[],[]]]=>[[[],[],[[],[[],[]]]]]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[]]],[]],[],[]]]=>[[[],[],[[],[[[]]]]]]=>[[.,[.,[[.,[[[.,.],.],.]],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[],[]]],[],[]]]=>[[[],[],[[[],[],[]]]]]=>[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[[]]]],[],[]]]=>[[[],[],[[[[]],[]]]]]=>[[.,[.,[[[[.,.],[.,.]],.],.]]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[[]],[]]],[],[]]]=>[[[],[],[[[],[[]]]]]]=>[[.,[.,[[[.,[[.,.],.]],.],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[]]]],[],[]]]=>[[[],[],[[[[],[]]]]]]=>[[.,[.,[[[[.,[.,.]],.],.],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[]]]]],[],[]]]=>[[[],[],[[[[[]]]]]]]=>[[.,[.,[[[[[.,.],.],.],.],.]]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[],[],[]],[[]]]]=>[[[[]],[[],[],[],[]]]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[],[],[[]]],[[]]]]=>[[[[]],[[[]],[],[]]]]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[[],[[]],[]],[[]]]]=>[[[[]],[[],[[]],[]]]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[[[],[[],[]]],[[]]]]=>[[[[]],[[[],[]],[]]]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[[],[[[]]]],[[]]]]=>[[[[]],[[[[]]],[]]]]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[[[]],[],[]],[[]]]]=>[[[[]],[[],[],[[]]]]]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[[]],[[]]],[[]]]]=>[[[[]],[[[]],[[]]]]]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[[[],[]],[]],[[]]]]=>[[[[]],[[],[[],[]]]]]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[[[]]],[]],[[]]]]=>[[[[]],[[],[[[]]]]]]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[[],[],[]]],[[]]]]=>[[[[]],[[[],[],[]]]]]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[[],[[]]]],[[]]]]=>[[[[]],[[[[]],[]]]]]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[[[[[]],[]]],[[]]]]=>[[[[]],[[[],[[]]]]]]=>[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[[[],[]]]],[[]]]]=>[[[[]],[[[[],[]]]]]]=>[[[.,.],[[[[.,[.,.]],.],.],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[[[[]]]]],[[]]]]=>[[[[]],[[[[[]]]]]]]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[],[],[],[],[]],[]]]=>[[[],[[],[],[],[],[]]]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[],[],[[]]],[]]]=>[[[],[[[]],[],[],[]]]]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[],[[]],[]],[]]]=>[[[],[[],[[]],[],[]]]]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[],[],[[],[]]],[]]]=>[[[],[[[],[]],[],[]]]]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[],[],[[[]]]],[]]]=>[[[],[[[[]]],[],[]]]]=>[[.,[[[[.,.],.],[.,[.,.]]],.]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[],[[]],[],[]],[]]]=>[[[],[[],[],[[]],[]]]]=>[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[],[[]],[[]]],[]]]=>[[[],[[[]],[[]],[]]]]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[[],[[],[]],[]],[]]]=>[[[],[[],[[],[]],[]]]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[],[[[]]],[]],[]]]=>[[[],[[],[[[]]],[]]]]=>[[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[],[[],[],[]]],[]]]=>[[[],[[[],[],[]],[]]]]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[[],[[]]]],[]]]=>[[[],[[[[]],[]],[]]]]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[[],[[[]],[]]],[]]]=>[[[],[[[],[[]]],[]]]]=>[[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[[[],[]]]],[]]]=>[[[],[[[[],[]]],[]]]]=>[[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[[[[]]]]],[]]]=>[[[],[[[[[]]]],[]]]]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[]],[],[],[]],[]]]=>[[[],[[],[],[],[[]]]]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[]],[],[[]]],[]]]=>[[[],[[[]],[],[[]]]]]=>[[.,[[[.,.],[.,[[.,.],.]]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[]],[[]],[]],[]]]=>[[[],[[],[[]],[[]]]]]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[]],[[],[]]],[]]]=>[[[],[[[],[]],[[]]]]]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[[]],[[[]]]],[]]]=>[[[],[[[[]]],[[]]]]]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[[],[]],[],[]],[]]]=>[[[],[[],[],[[],[]]]]]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[]]],[],[]],[]]]=>[[[],[[],[],[[[]]]]]]=>[[.,[[.,[.,[[[.,.],.],.]]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[]],[[]]],[]]]=>[[[],[[[]],[[],[]]]]]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[[]]],[[]]],[]]]=>[[[],[[[]],[[[]]]]]]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[],[],[]],[]],[]]]=>[[[],[[],[[],[],[]]]]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[[]]],[]],[]]]=>[[[],[[],[[[]],[]]]]]=>[[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[[]],[]],[]],[]]]=>[[[],[[],[[],[[]]]]]]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[]]],[]],[]]]=>[[[],[[],[[[],[]]]]]]=>[[.,[[.,[[[.,[.,.]],.],.]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[]]]],[]],[]]]=>[[[],[[],[[[[]]]]]]]=>[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[],[],[]]],[]]]=>[[[],[[[],[],[],[]]]]]=>[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[],[[]]]],[]]]=>[[[],[[[[]],[],[]]]]]=>[[.,[[[[.,.],[.,[.,.]]],.],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[],[[]],[]]],[]]]=>[[[],[[[],[[]],[]]]]]=>[[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[],[[],[]]]],[]]]=>[[[],[[[[],[]],[]]]]]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[],[[[]]]]],[]]]=>[[[],[[[[[]]],[]]]]]=>[[.,[[[[[.,.],.],[.,.]],.],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[[]],[],[]]],[]]]=>[[[],[[[],[],[[]]]]]]=>[[.,[[[.,[.,[[.,.],.]]],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[]],[[]]]],[]]]=>[[[],[[[[]],[[]]]]]]=>[[.,[[[[.,.],[[.,.],.]],.],.]],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[[],[]],[]]],[]]]=>[[[],[[[],[[],[]]]]]]=>[[.,[[[.,[[.,[.,.]],.]],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[]]],[]]],[]]]=>[[[],[[[],[[[]]]]]]]=>[[.,[[[.,[[[.,.],.],.]],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[],[]]]],[]]]=>[[[],[[[[],[],[]]]]]]=>[[.,[[[[.,[.,[.,.]]],.],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[[]]]]],[]]]=>[[[],[[[[[]],[]]]]]]=>[[.,[[[[[.,.],[.,.]],.],.],.]],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[[[]],[]]]],[]]]=>[[[],[[[[],[[]]]]]]]=>[[.,[[[[.,[[.,.],.]],.],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[],[]]]]],[]]]=>[[[],[[[[[],[]]]]]]]=>[[.,[[[[[.,[.,.]],.],.],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[[]]]]]],[]]]=>[[[],[[[[[[]]]]]]]]=>[[.,[[[[[[.,.],.],.],.],.],.]],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[],[],[],[],[]]]]=>[[[[],[],[],[],[],[]]]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[],[],[],[],[[]]]]]=>[[[[[]],[],[],[],[]]]]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[],[],[],[[]],[]]]]=>[[[[],[[]],[],[],[]]]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[],[],[[],[]]]]]=>[[[[[],[]],[],[],[]]]]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[],[],[],[[[]]]]]]=>[[[[[[]]],[],[],[]]]]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],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),(6,4),(7,6)],8)
[[[[],[],[[],[]],[]]]]=>[[[[],[[],[]],[],[]]]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[],[],[[[]]],[]]]]=>[[[[],[[[]]],[],[]]]]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[],[],[[],[],[]]]]]=>[[[[[],[],[]],[],[]]]]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[],[],[[],[[]]]]]]=>[[[[[[]],[]],[],[]]]]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[[[],[],[[[]],[]]]]]=>[[[[[],[[]]],[],[]]]]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[],[],[[[],[]]]]]]=>[[[[[[],[]]],[],[]]]]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[],[],[[[[]]]]]]]=>[[[[[[[]]]],[],[]]]]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],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),(6,4),(7,3)],8)
[[[[],[[]],[[]],[]]]]=>[[[[],[[]],[[]],[]]]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[[],[[]],[[],[]]]]]=>[[[[[],[]],[[]],[]]]]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[[[],[[]],[[[]]]]]]=>[[[[[[]]],[[]],[]]]]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[[[],[[],[]],[],[]]]]=>[[[[],[],[[],[]],[]]]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],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),(6,4),(7,6)],8)
[[[[],[[[]]],[[]]]]]=>[[[[[]],[[[]]],[]]]]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[[],[[],[],[]],[]]]]=>[[[[],[[],[],[]],[]]]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[[],[[]]],[]]]]=>[[[[],[[[]],[]],[]]]]=>[[[.,[[[.,.],[.,.]],[.,.]]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[[],[[[]],[]],[]]]]=>[[[[],[[],[[]]],[]]]]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[[[],[]]],[]]]]=>[[[[],[[[],[]]],[]]]]=>[[[.,[[[.,[.,.]],.],[.,.]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[[[[]]]],[]]]]=>[[[[],[[[[]]]],[]]]]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[],[[],[],[],[]]]]]=>[[[[[],[],[],[]],[]]]]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[],[[],[],[[]]]]]]=>[[[[[[]],[],[]],[]]]]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[[],[[],[[]],[]]]]]=>[[[[[],[[]],[]],[]]]]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[[[],[[],[[],[]]]]]]=>[[[[[[],[]],[]],[]]]]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[[],[[],[[[]]]]]]]=>[[[[[[[]]],[]],[]]]]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[[],[[[]],[],[]]]]]=>[[[[[],[],[[]]],[]]]]=>[[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[],[[[]],[[]]]]]]=>[[[[[[]],[[]]],[]]]]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[[],[[[],[]],[]]]]]=>[[[[[],[[],[]]],[]]]]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[],[[[[]]],[]]]]]=>[[[[[],[[[]]]],[]]]]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[],[[[],[],[]]]]]]=>[[[[[[],[],[]]],[]]]]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[],[[[],[[]]]]]]]=>[[[[[[[]],[]]],[]]]]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[[[],[[[[]],[]]]]]]=>[[[[[[],[[]]]],[]]]]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[],[[[[],[]]]]]]]=>[[[[[[[],[]]]],[]]]]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[],[[[[[]]]]]]]]=>[[[[[[[[]]]]],[]]]]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[]],[],[],[],[]]]]=>[[[[],[],[],[],[[]]]]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[]],[],[],[[]]]]]=>[[[[[]],[],[],[[]]]]]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[]],[],[[]],[]]]]=>[[[[],[[]],[],[[]]]]]=>[[[.,[[.,.],[.,[[.,.],.]]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[]],[],[[],[]]]]]=>[[[[[],[]],[],[[]]]]]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[[]],[],[[[]]]]]]=>[[[[[[]]],[],[[]]]]]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],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),(6,4),(7,6)],8)
[[[[[]],[[],[]],[]]]]=>[[[[],[[],[]],[[]]]]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[[]],[[[]]],[]]]]=>[[[[],[[[]]],[[]]]]]=>[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[[]],[[],[],[]]]]]=>[[[[[],[],[]],[[]]]]]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[[]],[[],[[]]]]]]=>[[[[[[]],[]],[[]]]]]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>([(0,6),(1,6),(2,3),(3,7),(4,5),(6,7),(7,4)],8)
[[[[[]],[[[]],[]]]]]=>[[[[[],[[]]],[[]]]]]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[[]],[[[],[]]]]]]=>[[[[[[],[]]],[[]]]]]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[[]],[[[[]]]]]]]=>[[[[[[[]]]],[[]]]]]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[[],[]],[],[],[]]]]=>[[[[],[],[],[[],[]]]]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[]]],[],[],[]]]]=>[[[[],[],[],[[[]]]]]]=>[[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[]],[],[[]]]]]=>[[[[[]],[],[[],[]]]]]=>[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[[]]],[],[[]]]]]=>[[[[[]],[],[[[]]]]]]=>[[[[.,.],[.,[[[.,.],.],.]]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[],[]],[[]],[]]]]=>[[[[],[[]],[[],[]]]]]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[[]]],[[]],[]]]]=>[[[[],[[]],[[[]]]]]]=>[[[.,[[.,.],[[[.,.],.],.]]],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[],[]],[[],[]]]]]=>[[[[[],[]],[[],[]]]]]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[[],[]],[[[]]]]]]=>[[[[[[]]],[[],[]]]]]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[[[]]],[[],[]]]]]=>[[[[[],[]],[[[]]]]]]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[[[]]],[[[]]]]]]=>[[[[[[]]],[[[]]]]]]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>([(0,6),(1,4),(3,7),(4,7),(5,2),(6,3),(7,5)],8)
[[[[[],[],[]],[],[]]]]=>[[[[],[],[[],[],[]]]]]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[[]]],[],[]]]]=>[[[[],[],[[[]],[]]]]]=>[[[.,[.,[[[.,.],[.,.]],.]]],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[[]],[]],[],[]]]]=>[[[[],[],[[],[[]]]]]]=>[[[.,[.,[[.,[[.,.],.]],.]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[]]],[],[]]]]=>[[[[],[],[[[],[]]]]]]=>[[[.,[.,[[[.,[.,.]],.],.]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[]]]],[],[]]]]=>[[[[],[],[[[[]]]]]]]=>[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[],[]],[[]]]]]=>[[[[[]],[[],[],[]]]]]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[],[[]]],[[]]]]]=>[[[[[]],[[[]],[]]]]]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[[[[[]],[]],[[]]]]]=>[[[[[]],[[],[[]]]]]]=>[[[[.,.],[[.,[[.,.],.]],.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[[],[]]],[[]]]]]=>[[[[[]],[[[],[]]]]]]=>[[[[.,.],[[[.,[.,.]],.],.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[[[]]]],[[]]]]]=>[[[[[]],[[[[]]]]]]]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]=>([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[],[],[],[]],[]]]]=>[[[[],[[],[],[],[]]]]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[],[[]]],[]]]]=>[[[[],[[[]],[],[]]]]]=>[[[.,[[[.,.],[.,[.,.]]],.]],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[],[[]],[]],[]]]]=>[[[[],[[],[[]],[]]]]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[],[[],[]]],[]]]]=>[[[[],[[[],[]],[]]]]]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[],[[[]]]],[]]]]=>[[[[],[[[[]]],[]]]]]=>[[[.,[[[[.,.],.],[.,.]],.]],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[[]],[],[]],[]]]]=>[[[[],[[],[],[[]]]]]]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[]],[[]]],[]]]]=>[[[[],[[[]],[[]]]]]]=>[[[.,[[[.,.],[[.,.],.]],.]],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[[],[]],[]],[]]]]=>[[[[],[[],[[],[]]]]]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[]]],[]],[]]]]=>[[[[],[[],[[[]]]]]]]=>[[[.,[[.,[[[.,.],.],.]],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[],[]]],[]]]]=>[[[[],[[[],[],[]]]]]]=>[[[.,[[[.,[.,[.,.]]],.],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[[]]]],[]]]]=>[[[[],[[[[]],[]]]]]]=>[[[.,[[[[.,.],[.,.]],.],.]],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[[[]],[]]],[]]]]=>[[[[],[[[],[[]]]]]]]=>[[[.,[[[.,[[.,.],.]],.],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[],[]]]],[]]]]=>[[[[],[[[[],[]]]]]]]=>[[[.,[[[[.,[.,.]],.],.],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[[]]]]],[]]]]=>[[[[],[[[[[]]]]]]]]=>[[[.,[[[[[.,.],.],.],.],.]],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[],[],[],[]]]]]=>[[[[[],[],[],[],[]]]]]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[],[],[],[[]]]]]]=>[[[[[[]],[],[],[]]]]]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[],[],[[]],[]]]]]=>[[[[[],[[]],[],[]]]]]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[],[],[[],[]]]]]]=>[[[[[[],[]],[],[]]]]]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[[],[],[[[]]]]]]]=>[[[[[[[]]],[],[]]]]]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[[],[[]],[],[]]]]]=>[[[[[],[],[[]],[]]]]]=>[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[],[[]],[[]]]]]]=>[[[[[[]],[[]],[]]]]]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[[[],[[],[]],[]]]]]=>[[[[[],[[],[]],[]]]]]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[],[[[]]],[]]]]]=>[[[[[],[[[]]],[]]]]]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[],[[],[],[]]]]]]=>[[[[[[],[],[]],[]]]]]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[],[[],[[]]]]]]]=>[[[[[[[]],[]],[]]]]]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[[[],[[[]],[]]]]]]=>[[[[[[],[[]]],[]]]]]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[],[[[],[]]]]]]]=>[[[[[[[],[]]],[]]]]]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[],[[[[]]]]]]]]=>[[[[[[[[]]]],[]]]]]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[[]],[],[],[]]]]]=>[[[[[],[],[],[[]]]]]]=>[[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[]],[],[[]]]]]]=>[[[[[[]],[],[[]]]]]]=>[[[[[.,.],[.,[[.,.],.]]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[[]],[[]],[]]]]]=>[[[[[],[[]],[[]]]]]]=>[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[[]],[[],[]]]]]]=>[[[[[[],[]],[[]]]]]]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[[[]],[[[]]]]]]]=>[[[[[[[]]],[[]]]]]]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>([(0,4),(1,3),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[[[[[],[]],[],[]]]]]=>[[[[[],[],[[],[]]]]]]=>[[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[]]],[],[]]]]]=>[[[[[],[],[[[]]]]]]]=>[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[]],[[]]]]]]=>[[[[[[]],[[],[]]]]]]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[[[]]],[[]]]]]]=>[[[[[[]],[[[]]]]]]]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]=>([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[[],[],[]],[]]]]]=>[[[[[],[[],[],[]]]]]]=>[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[[]]],[]]]]]=>[[[[[],[[[]],[]]]]]]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[[[]],[]],[]]]]]=>[[[[[],[[],[[]]]]]]]=>[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[],[]]],[]]]]]=>[[[[[],[[[],[]]]]]]]=>[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[[]]]],[]]]]]=>[[[[[],[[[[]]]]]]]]=>[[[[.,[[[[.,.],.],.],.]],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[],[],[]]]]]]=>[[[[[[],[],[],[]]]]]]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[],[],[[]]]]]]]=>[[[[[[[]],[],[]]]]]]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[[],[[]],[]]]]]]=>[[[[[[],[[]],[]]]]]]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[[],[[],[]]]]]]]=>[[[[[[[],[]],[]]]]]]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[[],[[[]]]]]]]]=>[[[[[[[[]]],[]]]]]]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[[[]],[],[]]]]]]=>[[[[[[],[],[[]]]]]]]=>[[[[[.,[.,[[.,.],.]]],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[]],[[]]]]]]]=>[[[[[[[]],[[]]]]]]]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]=>([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[[[],[]],[]]]]]]=>[[[[[[],[[],[]]]]]]]=>[[[[[.,[[.,[.,.]],.]],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[[]]],[]]]]]]=>[[[[[[],[[[]]]]]]]]=>[[[[[.,[[[.,.],.],.]],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[],[],[]]]]]]]=>[[[[[[[],[],[]]]]]]]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[],[[]]]]]]]]=>[[[[[[[[]],[]]]]]]]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]=>([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[[[[]],[]]]]]]]=>[[[[[[[],[[]]]]]]]]=>[[[[[[.,[[.,.],.]],.],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[[],[]]]]]]]]=>[[[[[[[[],[]]]]]]]]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[[[[[[[[]]]]]]]]]=>[[[[[[[[[]]]]]]]]]=>[[[[[[[[.,.],.],.],.],.],.],.],.]=>([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.
Map
to binary tree: right brother = right child
Description
Return a binary tree of size $n-1$ (where $n$ is the size of an ordered tree $t$) obtained from $t$ by the following recursive rule:
- if $x$ is the right brother of $y$ in $t$, then $x$ becomes the right child of $y$;
- if $x$ is the first child of $y$ in $t$, then $x$ becomes the left child of $y$,
and removing the root of $t$.
- if $x$ is the right brother of $y$ in $t$, then $x$ becomes the right child of $y$;
- if $x$ is the first child of $y$ in $t$, then $x$ becomes the left child of $y$,
and removing the root of $t$.
Map
to poset
Description
Return the poset obtained by interpreting the tree as a Hasse diagram.
searching the database
Sorry, this map was not found in the database.