- FindStat

Identifier
Mp00015: Binary trees —to ordered tree: right child = right brother⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Mp00049: Ordered trees —to binary tree: left brother = left child⟶ Binary trees
Images
=>
            
              Cc0010;cc-rep-0Cc0021;cc-rep-1Cc0021;cc-rep-2Cc0010;cc-rep-3
            

            [.,.]=>[[]]=>[[]]=>[.,.]
[.,[.,.]]=>[[],[]]=>[[],[]]=>[[.,.],.]
[[.,.],.]=>[[[]]]=>[[[]]]=>[.,[.,.]]
[.,[.,[.,.]]]=>[[],[],[]]=>[[],[],[]]=>[[[.,.],.],.]
[.,[[.,.],.]]=>[[],[[]]]=>[[[]],[]]=>[[.,[.,.]],.]
[[.,.],[.,.]]=>[[[]],[]]=>[[],[[]]]=>[[.,.],[.,.]]
[[.,[.,.]],.]=>[[[],[]]]=>[[[],[]]]=>[.,[[.,.],.]]
[[[.,.],.],.]=>[[[[]]]]=>[[[[]]]]=>[.,[.,[.,.]]]
[.,[.,[.,[.,.]]]]=>[[],[],[],[]]=>[[],[],[],[]]=>[[[[.,.],.],.],.]
[.,[.,[[.,.],.]]]=>[[],[],[[]]]=>[[[]],[],[]]=>[[[.,[.,.]],.],.]
[.,[[.,.],[.,.]]]=>[[],[[]],[]]=>[[],[[]],[]]=>[[[.,.],[.,.]],.]
[.,[[.,[.,.]],.]]=>[[],[[],[]]]=>[[[],[]],[]]=>[[.,[[.,.],.]],.]
[.,[[[.,.],.],.]]=>[[],[[[]]]]=>[[[[]]],[]]=>[[.,[.,[.,.]]],.]
[[.,.],[.,[.,.]]]=>[[[]],[],[]]=>[[],[],[[]]]=>[[[.,.],.],[.,.]]
[[.,.],[[.,.],.]]=>[[[]],[[]]]=>[[[]],[[]]]=>[[.,[.,.]],[.,.]]
[[.,[.,.]],[.,.]]=>[[[],[]],[]]=>[[],[[],[]]]=>[[.,.],[[.,.],.]]
[[[.,.],.],[.,.]]=>[[[[]]],[]]=>[[],[[[]]]]=>[[.,.],[.,[.,.]]]
[[.,[.,[.,.]]],.]=>[[[],[],[]]]=>[[[],[],[]]]=>[.,[[[.,.],.],.]]
[[.,[[.,.],.]],.]=>[[[],[[]]]]=>[[[[]],[]]]=>[.,[[.,[.,.]],.]]
[[[.,.],[.,.]],.]=>[[[[]],[]]]=>[[[],[[]]]]=>[.,[[.,.],[.,.]]]
[[[.,[.,.]],.],.]=>[[[[],[]]]]=>[[[[],[]]]]=>[.,[.,[[.,.],.]]]
[[[[.,.],.],.],.]=>[[[[[]]]]]=>[[[[[]]]]]=>[.,[.,[.,[.,.]]]]
[.,[.,[.,[.,[.,.]]]]]=>[[],[],[],[],[]]=>[[],[],[],[],[]]=>[[[[[.,.],.],.],.],.]
[.,[.,[.,[[.,.],.]]]]=>[[],[],[],[[]]]=>[[[]],[],[],[]]=>[[[[.,[.,.]],.],.],.]
[.,[.,[[.,.],[.,.]]]]=>[[],[],[[]],[]]=>[[],[[]],[],[]]=>[[[[.,.],[.,.]],.],.]
[.,[.,[[.,[.,.]],.]]]=>[[],[],[[],[]]]=>[[[],[]],[],[]]=>[[[.,[[.,.],.]],.],.]
[.,[.,[[[.,.],.],.]]]=>[[],[],[[[]]]]=>[[[[]]],[],[]]=>[[[.,[.,[.,.]]],.],.]
[.,[[.,.],[.,[.,.]]]]=>[[],[[]],[],[]]=>[[],[],[[]],[]]=>[[[[.,.],.],[.,.]],.]
[.,[[.,.],[[.,.],.]]]=>[[],[[]],[[]]]=>[[[]],[[]],[]]=>[[[.,[.,.]],[.,.]],.]
[.,[[.,[.,.]],[.,.]]]=>[[],[[],[]],[]]=>[[],[[],[]],[]]=>[[[.,.],[[.,.],.]],.]
[.,[[[.,.],.],[.,.]]]=>[[],[[[]]],[]]=>[[],[[[]]],[]]=>[[[.,.],[.,[.,.]]],.]
[.,[[.,[.,[.,.]]],.]]=>[[],[[],[],[]]]=>[[[],[],[]],[]]=>[[.,[[[.,.],.],.]],.]
[.,[[.,[[.,.],.]],.]]=>[[],[[],[[]]]]=>[[[[]],[]],[]]=>[[.,[[.,[.,.]],.]],.]
[.,[[[.,.],[.,.]],.]]=>[[],[[[]],[]]]=>[[[],[[]]],[]]=>[[.,[[.,.],[.,.]]],.]
[.,[[[.,[.,.]],.],.]]=>[[],[[[],[]]]]=>[[[[],[]]],[]]=>[[.,[.,[[.,.],.]]],.]
[.,[[[[.,.],.],.],.]]=>[[],[[[[]]]]]=>[[[[[]]]],[]]=>[[.,[.,[.,[.,.]]]],.]
[[.,.],[.,[.,[.,.]]]]=>[[[]],[],[],[]]=>[[],[],[],[[]]]=>[[[[.,.],.],.],[.,.]]
[[.,.],[.,[[.,.],.]]]=>[[[]],[],[[]]]=>[[[]],[],[[]]]=>[[[.,[.,.]],.],[.,.]]
[[.,.],[[.,.],[.,.]]]=>[[[]],[[]],[]]=>[[],[[]],[[]]]=>[[[.,.],[.,.]],[.,.]]
[[.,.],[[.,[.,.]],.]]=>[[[]],[[],[]]]=>[[[],[]],[[]]]=>[[.,[[.,.],.]],[.,.]]
[[.,.],[[[.,.],.],.]]=>[[[]],[[[]]]]=>[[[[]]],[[]]]=>[[.,[.,[.,.]]],[.,.]]
[[.,[.,.]],[.,[.,.]]]=>[[[],[]],[],[]]=>[[],[],[[],[]]]=>[[[.,.],.],[[.,.],.]]
[[.,[.,.]],[[.,.],.]]=>[[[],[]],[[]]]=>[[[]],[[],[]]]=>[[.,[.,.]],[[.,.],.]]
[[[.,.],.],[.,[.,.]]]=>[[[[]]],[],[]]=>[[],[],[[[]]]]=>[[[.,.],.],[.,[.,.]]]
[[[.,.],.],[[.,.],.]]=>[[[[]]],[[]]]=>[[[]],[[[]]]]=>[[.,[.,.]],[.,[.,.]]]
[[.,[.,[.,.]]],[.,.]]=>[[[],[],[]],[]]=>[[],[[],[],[]]]=>[[.,.],[[[.,.],.],.]]
[[.,[[.,.],.]],[.,.]]=>[[[],[[]]],[]]=>[[],[[[]],[]]]=>[[.,.],[[.,[.,.]],.]]
[[[.,.],[.,.]],[.,.]]=>[[[[]],[]],[]]=>[[],[[],[[]]]]=>[[.,.],[[.,.],[.,.]]]
[[[.,[.,.]],.],[.,.]]=>[[[[],[]]],[]]=>[[],[[[],[]]]]=>[[.,.],[.,[[.,.],.]]]
[[[[.,.],.],.],[.,.]]=>[[[[[]]]],[]]=>[[],[[[[]]]]]=>[[.,.],[.,[.,[.,.]]]]
[[.,[.,[.,[.,.]]]],.]=>[[[],[],[],[]]]=>[[[],[],[],[]]]=>[.,[[[[.,.],.],.],.]]
[[.,[.,[[.,.],.]]],.]=>[[[],[],[[]]]]=>[[[[]],[],[]]]=>[.,[[[.,[.,.]],.],.]]
[[.,[[.,.],[.,.]]],.]=>[[[],[[]],[]]]=>[[[],[[]],[]]]=>[.,[[[.,.],[.,.]],.]]
[[.,[[.,[.,.]],.]],.]=>[[[],[[],[]]]]=>[[[[],[]],[]]]=>[.,[[.,[[.,.],.]],.]]
[[.,[[[.,.],.],.]],.]=>[[[],[[[]]]]]=>[[[[[]]],[]]]=>[.,[[.,[.,[.,.]]],.]]
[[[.,.],[.,[.,.]]],.]=>[[[[]],[],[]]]=>[[[],[],[[]]]]=>[.,[[[.,.],.],[.,.]]]
[[[.,.],[[.,.],.]],.]=>[[[[]],[[]]]]=>[[[[]],[[]]]]=>[.,[[.,[.,.]],[.,.]]]
[[[.,[.,.]],[.,.]],.]=>[[[[],[]],[]]]=>[[[],[[],[]]]]=>[.,[[.,.],[[.,.],.]]]
[[[[.,.],.],[.,.]],.]=>[[[[[]]],[]]]=>[[[],[[[]]]]]=>[.,[[.,.],[.,[.,.]]]]
[[[.,[.,[.,.]]],.],.]=>[[[[],[],[]]]]=>[[[[],[],[]]]]=>[.,[.,[[[.,.],.],.]]]
[[[.,[[.,.],.]],.],.]=>[[[[],[[]]]]]=>[[[[[]],[]]]]=>[.,[.,[[.,[.,.]],.]]]
[[[[.,.],[.,.]],.],.]=>[[[[[]],[]]]]=>[[[[],[[]]]]]=>[.,[.,[[.,.],[.,.]]]]
[[[[.,[.,.]],.],.],.]=>[[[[[],[]]]]]=>[[[[[],[]]]]]=>[.,[.,[.,[[.,.],.]]]]
[[[[[.,.],.],.],.],.]=>[[[[[[]]]]]]=>[[[[[[]]]]]]=>[.,[.,[.,[.,[.,.]]]]]
[.,[.,[.,[.,[.,[.,.]]]]]]=>[[],[],[],[],[],[]]=>[[],[],[],[],[],[]]=>[[[[[[.,.],.],.],.],.],.]
[.,[.,[.,[.,[[.,.],.]]]]]=>[[],[],[],[],[[]]]=>[[[]],[],[],[],[]]=>[[[[[.,[.,.]],.],.],.],.]
[.,[.,[.,[[.,.],[.,.]]]]]=>[[],[],[],[[]],[]]=>[[],[[]],[],[],[]]=>[[[[[.,.],[.,.]],.],.],.]
[.,[.,[.,[[.,[.,.]],.]]]]=>[[],[],[],[[],[]]]=>[[[],[]],[],[],[]]=>[[[[.,[[.,.],.]],.],.],.]
[.,[.,[.,[[[.,.],.],.]]]]=>[[],[],[],[[[]]]]=>[[[[]]],[],[],[]]=>[[[[.,[.,[.,.]]],.],.],.]
[.,[.,[[.,.],[.,[.,.]]]]]=>[[],[],[[]],[],[]]=>[[],[],[[]],[],[]]=>[[[[[.,.],.],[.,.]],.],.]
[.,[.,[[.,.],[[.,.],.]]]]=>[[],[],[[]],[[]]]=>[[[]],[[]],[],[]]=>[[[[.,[.,.]],[.,.]],.],.]
[.,[.,[[.,[.,.]],[.,.]]]]=>[[],[],[[],[]],[]]=>[[],[[],[]],[],[]]=>[[[[.,.],[[.,.],.]],.],.]
[.,[.,[[[.,.],.],[.,.]]]]=>[[],[],[[[]]],[]]=>[[],[[[]]],[],[]]=>[[[[.,.],[.,[.,.]]],.],.]
[.,[.,[[.,[.,[.,.]]],.]]]=>[[],[],[[],[],[]]]=>[[[],[],[]],[],[]]=>[[[.,[[[.,.],.],.]],.],.]
[.,[.,[[.,[[.,.],.]],.]]]=>[[],[],[[],[[]]]]=>[[[[]],[]],[],[]]=>[[[.,[[.,[.,.]],.]],.],.]
[.,[.,[[[.,.],[.,.]],.]]]=>[[],[],[[[]],[]]]=>[[[],[[]]],[],[]]=>[[[.,[[.,.],[.,.]]],.],.]
[.,[.,[[[.,[.,.]],.],.]]]=>[[],[],[[[],[]]]]=>[[[[],[]]],[],[]]=>[[[.,[.,[[.,.],.]]],.],.]
[.,[.,[[[[.,.],.],.],.]]]=>[[],[],[[[[]]]]]=>[[[[[]]]],[],[]]=>[[[.,[.,[.,[.,.]]]],.],.]
[.,[[.,.],[.,[.,[.,.]]]]]=>[[],[[]],[],[],[]]=>[[],[],[],[[]],[]]=>[[[[[.,.],.],.],[.,.]],.]
[.,[[.,.],[.,[[.,.],.]]]]=>[[],[[]],[],[[]]]=>[[[]],[],[[]],[]]=>[[[[.,[.,.]],.],[.,.]],.]
[.,[[.,.],[[.,.],[.,.]]]]=>[[],[[]],[[]],[]]=>[[],[[]],[[]],[]]=>[[[[.,.],[.,.]],[.,.]],.]
[.,[[.,.],[[.,[.,.]],.]]]=>[[],[[]],[[],[]]]=>[[[],[]],[[]],[]]=>[[[.,[[.,.],.]],[.,.]],.]
[.,[[.,.],[[[.,.],.],.]]]=>[[],[[]],[[[]]]]=>[[[[]]],[[]],[]]=>[[[.,[.,[.,.]]],[.,.]],.]
[.,[[.,[.,.]],[.,[.,.]]]]=>[[],[[],[]],[],[]]=>[[],[],[[],[]],[]]=>[[[[.,.],.],[[.,.],.]],.]
[.,[[.,[.,.]],[[.,.],.]]]=>[[],[[],[]],[[]]]=>[[[]],[[],[]],[]]=>[[[.,[.,.]],[[.,.],.]],.]
[.,[[[.,.],.],[.,[.,.]]]]=>[[],[[[]]],[],[]]=>[[],[],[[[]]],[]]=>[[[[.,.],.],[.,[.,.]]],.]
[.,[[[.,.],.],[[.,.],.]]]=>[[],[[[]]],[[]]]=>[[[]],[[[]]],[]]=>[[[.,[.,.]],[.,[.,.]]],.]
[.,[[.,[.,[.,.]]],[.,.]]]=>[[],[[],[],[]],[]]=>[[],[[],[],[]],[]]=>[[[.,.],[[[.,.],.],.]],.]
[.,[[.,[[.,.],.]],[.,.]]]=>[[],[[],[[]]],[]]=>[[],[[[]],[]],[]]=>[[[.,.],[[.,[.,.]],.]],.]
[.,[[[.,.],[.,.]],[.,.]]]=>[[],[[[]],[]],[]]=>[[],[[],[[]]],[]]=>[[[.,.],[[.,.],[.,.]]],.]
[.,[[[.,[.,.]],.],[.,.]]]=>[[],[[[],[]]],[]]=>[[],[[[],[]]],[]]=>[[[.,.],[.,[[.,.],.]]],.]
[.,[[[[.,.],.],.],[.,.]]]=>[[],[[[[]]]],[]]=>[[],[[[[]]]],[]]=>[[[.,.],[.,[.,[.,.]]]],.]
[.,[[.,[.,[.,[.,.]]]],.]]=>[[],[[],[],[],[]]]=>[[[],[],[],[]],[]]=>[[.,[[[[.,.],.],.],.]],.]
[.,[[.,[.,[[.,.],.]]],.]]=>[[],[[],[],[[]]]]=>[[[[]],[],[]],[]]=>[[.,[[[.,[.,.]],.],.]],.]
[.,[[.,[[.,.],[.,.]]],.]]=>[[],[[],[[]],[]]]=>[[[],[[]],[]],[]]=>[[.,[[[.,.],[.,.]],.]],.]
[.,[[.,[[.,[.,.]],.]],.]]=>[[],[[],[[],[]]]]=>[[[[],[]],[]],[]]=>[[.,[[.,[[.,.],.]],.]],.]
[.,[[.,[[[.,.],.],.]],.]]=>[[],[[],[[[]]]]]=>[[[[[]]],[]],[]]=>[[.,[[.,[.,[.,.]]],.]],.]
[.,[[[.,.],[.,[.,.]]],.]]=>[[],[[[]],[],[]]]=>[[[],[],[[]]],[]]=>[[.,[[[.,.],.],[.,.]]],.]
[.,[[[.,.],[[.,.],.]],.]]=>[[],[[[]],[[]]]]=>[[[[]],[[]]],[]]=>[[.,[[.,[.,.]],[.,.]]],.]
[.,[[[.,[.,.]],[.,.]],.]]=>[[],[[[],[]],[]]]=>[[[],[[],[]]],[]]=>[[.,[[.,.],[[.,.],.]]],.]
[.,[[[[.,.],.],[.,.]],.]]=>[[],[[[[]]],[]]]=>[[[],[[[]]]],[]]=>[[.,[[.,.],[.,[.,.]]]],.]
[.,[[[.,[.,[.,.]]],.],.]]=>[[],[[[],[],[]]]]=>[[[[],[],[]]],[]]=>[[.,[.,[[[.,.],.],.]]],.]
[.,[[[.,[[.,.],.]],.],.]]=>[[],[[[],[[]]]]]=>[[[[[]],[]]],[]]=>[[.,[.,[[.,[.,.]],.]]],.]
[.,[[[[.,.],[.,.]],.],.]]=>[[],[[[[]],[]]]]=>[[[[],[[]]]],[]]=>[[.,[.,[[.,.],[.,.]]]],.]
[.,[[[[.,[.,.]],.],.],.]]=>[[],[[[[],[]]]]]=>[[[[[],[]]]],[]]=>[[.,[.,[.,[[.,.],.]]]],.]
[.,[[[[[.,.],.],.],.],.]]=>[[],[[[[[]]]]]]=>[[[[[[]]]]],[]]=>[[.,[.,[.,[.,[.,.]]]]],.]
[[.,.],[.,[.,[.,[.,.]]]]]=>[[[]],[],[],[],[]]=>[[],[],[],[],[[]]]=>[[[[[.,.],.],.],.],[.,.]]
[[.,.],[.,[.,[[.,.],.]]]]=>[[[]],[],[],[[]]]=>[[[]],[],[],[[]]]=>[[[[.,[.,.]],.],.],[.,.]]
[[.,.],[.,[[.,.],[.,.]]]]=>[[[]],[],[[]],[]]=>[[],[[]],[],[[]]]=>[[[[.,.],[.,.]],.],[.,.]]
[[.,.],[.,[[.,[.,.]],.]]]=>[[[]],[],[[],[]]]=>[[[],[]],[],[[]]]=>[[[.,[[.,.],.]],.],[.,.]]
[[.,.],[.,[[[.,.],.],.]]]=>[[[]],[],[[[]]]]=>[[[[]]],[],[[]]]=>[[[.,[.,[.,.]]],.],[.,.]]
[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]=>[[],[],[[]],[[]]]=>[[[[.,.],.],[.,.]],[.,.]]
[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]=>[[[]],[[]],[[]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]=>[[],[[],[]],[[]]]=>[[[.,.],[[.,.],.]],[.,.]]
[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]=>[[],[[[]]],[[]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[[.,.],[[.,[.,[.,.]]],.]]=>[[[]],[[],[],[]]]=>[[[],[],[]],[[]]]=>[[.,[[[.,.],.],.]],[.,.]]
[[.,.],[[.,[[.,.],.]],.]]=>[[[]],[[],[[]]]]=>[[[[]],[]],[[]]]=>[[.,[[.,[.,.]],.]],[.,.]]
[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]=>[[[],[[]]],[[]]]=>[[.,[[.,.],[.,.]]],[.,.]]
[[.,.],[[[.,[.,.]],.],.]]=>[[[]],[[[],[]]]]=>[[[[],[]]],[[]]]=>[[.,[.,[[.,.],.]]],[.,.]]
[[.,.],[[[[.,.],.],.],.]]=>[[[]],[[[[]]]]]=>[[[[[]]]],[[]]]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]=>[[],[],[],[[],[]]]=>[[[[.,.],.],.],[[.,.],.]]
[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]=>[[[]],[],[[],[]]]=>[[[.,[.,.]],.],[[.,.],.]]
[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]=>[[[.,.],[.,.]],[[.,.],.]]
[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]=>[[[],[]],[[],[]]]=>[[.,[[.,.],.]],[[.,.],.]]
[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]=>[[[[]]],[[],[]]]=>[[.,[.,[.,.]]],[[.,.],.]]
[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]=>[[],[],[],[[[]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]=>[[[]],[],[[[]]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]=>[[[],[]],[[[]]]]=>[[.,[[.,.],.]],[.,[.,.]]]
[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]=>[[[[]]],[[[]]]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]=>[[],[],[[],[],[]]]=>[[[.,.],.],[[[.,.],.],.]]
[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]=>[[[]],[[],[],[]]]=>[[.,[.,.]],[[[.,.],.],.]]
[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]=>[[],[],[[[]],[]]]=>[[[.,.],.],[[.,[.,.]],.]]
[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]=>[[[]],[[[]],[]]]=>[[.,[.,.]],[[.,[.,.]],.]]
[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]=>[[[.,.],.],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]=>[[.,[.,.]],[[.,.],[.,.]]]
[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]=>[[],[],[[[],[]]]]=>[[[.,.],.],[.,[[.,.],.]]]
[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]=>[[[]],[[[],[]]]]=>[[.,[.,.]],[.,[[.,.],.]]]
[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]=>[[],[],[[[[]]]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]=>[[[]],[[[[]]]]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[.,[.,[.,[.,.]]]],[.,.]]=>[[[],[],[],[]],[]]=>[[],[[],[],[],[]]]=>[[.,.],[[[[.,.],.],.],.]]
[[.,[.,[[.,.],.]]],[.,.]]=>[[[],[],[[]]],[]]=>[[],[[[]],[],[]]]=>[[.,.],[[[.,[.,.]],.],.]]
[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]=>[[],[[],[[]],[]]]=>[[.,.],[[[.,.],[.,.]],.]]
[[.,[[.,[.,.]],.]],[.,.]]=>[[[],[[],[]]],[]]=>[[],[[[],[]],[]]]=>[[.,.],[[.,[[.,.],.]],.]]
[[.,[[[.,.],.],.]],[.,.]]=>[[[],[[[]]]],[]]=>[[],[[[[]]],[]]]=>[[.,.],[[.,[.,[.,.]]],.]]
[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]=>[[.,.],[[[.,.],.],[.,.]]]
[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]=>[[.,.],[[.,[.,.]],[.,.]]]
[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]=>[[.,.],[[.,.],[[.,.],.]]]
[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]=>[[.,.],[[.,.],[.,[.,.]]]]
[[[.,[.,[.,.]]],.],[.,.]]=>[[[[],[],[]]],[]]=>[[],[[[],[],[]]]]=>[[.,.],[.,[[[.,.],.],.]]]
[[[.,[[.,.],.]],.],[.,.]]=>[[[[],[[]]]],[]]=>[[],[[[[]],[]]]]=>[[.,.],[.,[[.,[.,.]],.]]]
[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]=>[[],[[[],[[]]]]]=>[[.,.],[.,[[.,.],[.,.]]]]
[[[[.,[.,.]],.],.],[.,.]]=>[[[[[],[]]]],[]]=>[[],[[[[],[]]]]]=>[[.,.],[.,[.,[[.,.],.]]]]
[[[[[.,.],.],.],.],[.,.]]=>[[[[[[]]]]],[]]=>[[],[[[[[]]]]]]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[.,[.,[.,[.,[.,.]]]]],.]=>[[[],[],[],[],[]]]=>[[[],[],[],[],[]]]=>[.,[[[[[.,.],.],.],.],.]]
[[.,[.,[.,[[.,.],.]]]],.]=>[[[],[],[],[[]]]]=>[[[[]],[],[],[]]]=>[.,[[[[.,[.,.]],.],.],.]]
[[.,[.,[[.,.],[.,.]]]],.]=>[[[],[],[[]],[]]]=>[[[],[[]],[],[]]]=>[.,[[[[.,.],[.,.]],.],.]]
[[.,[.,[[.,[.,.]],.]]],.]=>[[[],[],[[],[]]]]=>[[[[],[]],[],[]]]=>[.,[[[.,[[.,.],.]],.],.]]
[[.,[.,[[[.,.],.],.]]],.]=>[[[],[],[[[]]]]]=>[[[[[]]],[],[]]]=>[.,[[[.,[.,[.,.]]],.],.]]
[[.,[[.,.],[.,[.,.]]]],.]=>[[[],[[]],[],[]]]=>[[[],[],[[]],[]]]=>[.,[[[[.,.],.],[.,.]],.]]
[[.,[[.,.],[[.,.],.]]],.]=>[[[],[[]],[[]]]]=>[[[[]],[[]],[]]]=>[.,[[[.,[.,.]],[.,.]],.]]
[[.,[[.,[.,.]],[.,.]]],.]=>[[[],[[],[]],[]]]=>[[[],[[],[]],[]]]=>[.,[[[.,.],[[.,.],.]],.]]
[[.,[[[.,.],.],[.,.]]],.]=>[[[],[[[]]],[]]]=>[[[],[[[]]],[]]]=>[.,[[[.,.],[.,[.,.]]],.]]
[[.,[[.,[.,[.,.]]],.]],.]=>[[[],[[],[],[]]]]=>[[[[],[],[]],[]]]=>[.,[[.,[[[.,.],.],.]],.]]
[[.,[[.,[[.,.],.]],.]],.]=>[[[],[[],[[]]]]]=>[[[[[]],[]],[]]]=>[.,[[.,[[.,[.,.]],.]],.]]
[[.,[[[.,.],[.,.]],.]],.]=>[[[],[[[]],[]]]]=>[[[[],[[]]],[]]]=>[.,[[.,[[.,.],[.,.]]],.]]
[[.,[[[.,[.,.]],.],.]],.]=>[[[],[[[],[]]]]]=>[[[[[],[]]],[]]]=>[.,[[.,[.,[[.,.],.]]],.]]
[[.,[[[[.,.],.],.],.]],.]=>[[[],[[[[]]]]]]=>[[[[[[]]]],[]]]=>[.,[[.,[.,[.,[.,.]]]],.]]
[[[.,.],[.,[.,[.,.]]]],.]=>[[[[]],[],[],[]]]=>[[[],[],[],[[]]]]=>[.,[[[[.,.],.],.],[.,.]]]
[[[.,.],[.,[[.,.],.]]],.]=>[[[[]],[],[[]]]]=>[[[[]],[],[[]]]]=>[.,[[[.,[.,.]],.],[.,.]]]
[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]=>[[[],[[]],[[]]]]=>[.,[[[.,.],[.,.]],[.,.]]]
[[[.,.],[[.,[.,.]],.]],.]=>[[[[]],[[],[]]]]=>[[[[],[]],[[]]]]=>[.,[[.,[[.,.],.]],[.,.]]]
[[[.,.],[[[.,.],.],.]],.]=>[[[[]],[[[]]]]]=>[[[[[]]],[[]]]]=>[.,[[.,[.,[.,.]]],[.,.]]]
[[[.,[.,.]],[.,[.,.]]],.]=>[[[[],[]],[],[]]]=>[[[],[],[[],[]]]]=>[.,[[[.,.],.],[[.,.],.]]]
[[[.,[.,.]],[[.,.],.]],.]=>[[[[],[]],[[]]]]=>[[[[]],[[],[]]]]=>[.,[[.,[.,.]],[[.,.],.]]]
[[[[.,.],.],[.,[.,.]]],.]=>[[[[[]]],[],[]]]=>[[[],[],[[[]]]]]=>[.,[[[.,.],.],[.,[.,.]]]]
[[[[.,.],.],[[.,.],.]],.]=>[[[[[]]],[[]]]]=>[[[[]],[[[]]]]]=>[.,[[.,[.,.]],[.,[.,.]]]]
[[[.,[.,[.,.]]],[.,.]],.]=>[[[[],[],[]],[]]]=>[[[],[[],[],[]]]]=>[.,[[.,.],[[[.,.],.],.]]]
[[[.,[[.,.],.]],[.,.]],.]=>[[[[],[[]]],[]]]=>[[[],[[[]],[]]]]=>[.,[[.,.],[[.,[.,.]],.]]]
[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]=>[[[],[[],[[]]]]]=>[.,[[.,.],[[.,.],[.,.]]]]
[[[[.,[.,.]],.],[.,.]],.]=>[[[[[],[]]],[]]]=>[[[],[[[],[]]]]]=>[.,[[.,.],[.,[[.,.],.]]]]
[[[[[.,.],.],.],[.,.]],.]=>[[[[[[]]]],[]]]=>[[[],[[[[]]]]]]=>[.,[[.,.],[.,[.,[.,.]]]]]
[[[.,[.,[.,[.,.]]]],.],.]=>[[[[],[],[],[]]]]=>[[[[],[],[],[]]]]=>[.,[.,[[[[.,.],.],.],.]]]
[[[.,[.,[[.,.],.]]],.],.]=>[[[[],[],[[]]]]]=>[[[[[]],[],[]]]]=>[.,[.,[[[.,[.,.]],.],.]]]
[[[.,[[.,.],[.,.]]],.],.]=>[[[[],[[]],[]]]]=>[[[[],[[]],[]]]]=>[.,[.,[[[.,.],[.,.]],.]]]
[[[.,[[.,[.,.]],.]],.],.]=>[[[[],[[],[]]]]]=>[[[[[],[]],[]]]]=>[.,[.,[[.,[[.,.],.]],.]]]
[[[.,[[[.,.],.],.]],.],.]=>[[[[],[[[]]]]]]=>[[[[[[]]],[]]]]=>[.,[.,[[.,[.,[.,.]]],.]]]
[[[[.,.],[.,[.,.]]],.],.]=>[[[[[]],[],[]]]]=>[[[[],[],[[]]]]]=>[.,[.,[[[.,.],.],[.,.]]]]
[[[[.,.],[[.,.],.]],.],.]=>[[[[[]],[[]]]]]=>[[[[[]],[[]]]]]=>[.,[.,[[.,[.,.]],[.,.]]]]
[[[[.,[.,.]],[.,.]],.],.]=>[[[[[],[]],[]]]]=>[[[[],[[],[]]]]]=>[.,[.,[[.,.],[[.,.],.]]]]
[[[[[.,.],.],[.,.]],.],.]=>[[[[[[]]],[]]]]=>[[[[],[[[]]]]]]=>[.,[.,[[.,.],[.,[.,.]]]]]
[[[[.,[.,[.,.]]],.],.],.]=>[[[[[],[],[]]]]]=>[[[[[],[],[]]]]]=>[.,[.,[.,[[[.,.],.],.]]]]
[[[[.,[[.,.],.]],.],.],.]=>[[[[[],[[]]]]]]=>[[[[[[]],[]]]]]=>[.,[.,[.,[[.,[.,.]],.]]]]
[[[[[.,.],[.,.]],.],.],.]=>[[[[[[]],[]]]]]=>[[[[[],[[]]]]]]=>[.,[.,[.,[[.,.],[.,.]]]]]
[[[[[.,[.,.]],.],.],.],.]=>[[[[[[],[]]]]]]=>[[[[[[],[]]]]]]=>[.,[.,[.,[.,[[.,.],.]]]]]
[[[[[[.,.],.],.],.],.],.]=>[[[[[[[]]]]]]]=>[[[[[[[]]]]]]]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[]]=>[[[[[[[.,.],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[[],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[]]=>[[[[[[.,[.,.]],.],.],.],.],.]
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[[],[],[],[],[[]],[]]=>[[],[[]],[],[],[],[]]=>[[[[[[.,.],[.,.]],.],.],.],.]
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[[],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[]]=>[[[[[.,[[.,.],.]],.],.],.],.]
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[]]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[[],[],[],[[]],[],[]]=>[[],[],[[]],[],[],[]]=>[[[[[[.,.],.],[.,.]],.],.],.]
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[[],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[]]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[[],[],[],[[],[]],[]]=>[[],[[],[]],[],[],[]]=>[[[[[.,.],[[.,.],.]],.],.],.]
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[[],[],[],[[[]]],[]]=>[[],[[[]]],[],[],[]]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[[],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[]]=>[[[[.,[[[.,.],.],.]],.],.],.]
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[[],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[]]=>[[[[.,[[.,[.,.]],.]],.],.],.]
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[[],[],[],[[[]],[]]]=>[[[],[[]]],[],[],[]]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[]]=>[[[[.,[.,[[.,.],.]]],.],.],.]
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[[],[],[[]],[],[],[]]=>[[],[],[],[[]],[],[]]=>[[[[[[.,.],.],.],[.,.]],.],.]
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[]]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[[],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[]]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[[],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[]]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[[],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[]]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[[],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[]]=>[[[[[.,.],.],[[.,.],.]],.],.]
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[[],[],[[],[]],[[]]]=>[[[]],[[],[]],[],[]]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[[],[],[[[]]],[],[]]=>[[],[],[[[]]],[],[]]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[[],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[]]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[[],[],[[],[],[]],[]]=>[[],[[],[],[]],[],[]]=>[[[[.,.],[[[.,.],.],.]],.],.]
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[[],[],[[],[[]]],[]]=>[[],[[[]],[]],[],[]]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[[],[],[[[]],[]],[]]=>[[],[[],[[]]],[],[]]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[[],[],[[[],[]]],[]]=>[[],[[[],[]]],[],[]]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[[],[],[[[[]]]],[]]=>[[],[[[[]]]],[],[]]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[[],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[]]=>[[[.,[[[[.,.],.],.],.]],.],.]
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]=>[[[.,[[[.,[.,.]],.],.]],.],.]
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[]]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[[],[],[[[]],[],[]]]=>[[[],[],[[]]],[],[]]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[]]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[[],[],[[[],[]],[]]]=>[[[],[[],[]]],[],[]]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[[],[],[[[[]]],[]]]=>[[[],[[[]]]],[],[]]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[.,[.,[[[[[.,.],.],.],.],.]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[[],[[]],[],[],[],[]]=>[[],[],[],[],[[]],[]]=>[[[[[[.,.],.],.],.],[.,.]],.]
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[[],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[]]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[[],[[]],[],[[]],[]]=>[[],[[]],[],[[]],[]]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>[[],[[]],[],[[],[]]]=>[[[],[]],[],[[]],[]]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[]]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[]],[[]],[],[]]=>[[],[],[[]],[[]],[]]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[]]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[[],[[]],[[],[]],[]]=>[[],[[],[]],[[]],[]]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[],[[]],[[[]]],[]]=>[[],[[[]]],[[]],[]]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[[],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[]]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[]]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[[],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[]]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[[],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[]]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[.,[[.,.],[[[[.,.],.],.],.]]]=>[[],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[]]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[[],[[],[]],[],[],[]]=>[[],[],[],[[],[]],[]]=>[[[[[.,.],.],.],[[.,.],.]],.]
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[[],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[]]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[[],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[]]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[]]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[[],[[],[]],[[[]]]]=>[[[[]]],[[],[]],[]]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[[],[[[]]],[],[],[]]=>[[],[],[],[[[]]],[]]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[]]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[[],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[]]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[[],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[]]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[.,[[[.,.],.],[[[.,.],.],.]]]=>[[],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[]]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[[],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[]]=>[[[[.,.],.],[[[.,.],.],.]],.]
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[[],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[]]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[[],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[]]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[[],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[]]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[]]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[]]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[[],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[]]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[[],[[[],[]]],[[]]]=>[[[]],[[[],[]]],[]]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[],[[[[]]]],[],[]]=>[[],[],[[[[]]]],[]]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[.,[[[[.,.],.],.],[[.,.],.]]]=>[[],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[]]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[],[[],[],[],[]],[]]=>[[],[[],[],[],[]],[]]=>[[[.,.],[[[[.,.],.],.],.]],.]
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[],[[],[],[[]]],[]]=>[[],[[[]],[],[]],[]]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[],[[],[[]],[]],[]]=>[[],[[],[[]],[]],[]]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[]]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[],[[],[[[]]]],[]]=>[[],[[[[]]],[]],[]]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[]]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[]]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[]]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[]]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[],[[[],[],[]]],[]]=>[[],[[[],[],[]]],[]]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[],[[[],[[]]]],[]]=>[[],[[[[]],[]]],[]]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[]]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[],[[[[],[]]]],[]]=>[[],[[[[],[]]]],[]]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[.,[[[[[.,.],.],.],.],[.,.]]]=>[[],[[[[[]]]]],[]]=>[[],[[[[[]]]]],[]]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[[],[[],[],[],[],[]]]=>[[[],[],[],[],[]],[]]=>[[.,[[[[[.,.],.],.],.],.]],.]
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[[],[[],[],[],[[]]]]=>[[[[]],[],[],[]],[]]=>[[.,[[[[.,[.,.]],.],.],.]],.]
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[[],[[],[],[[]],[]]]=>[[[],[[]],[],[]],[]]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[]]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[[],[[],[[]],[],[]]]=>[[[],[],[[]],[]],[]]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[[],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[]]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[[],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[]]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[[],[[],[[[]]],[]]]=>[[[],[[[]]],[]],[]]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]=>[[.,[[.,[[[.,.],.],.]],.]],.]
[.,[[.,[[.,[[.,.],.]],.]],.]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[]]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[.,[[.,[[[[.,.],.],.],.]],.]]=>[[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[]]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[[],[[[]],[],[],[]]]=>[[[],[],[],[[]]],[]]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[[],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[]]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[[],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[]]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[.,[[[.,.],[[[.,.],.],.]],.]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[[],[[[],[]],[],[]]]=>[[[],[],[[],[]]],[]]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[[],[[[],[]],[[]]]]=>[[[[]],[[],[]]],[]]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[[],[[[[]]],[],[]]]=>[[[],[],[[[]]]],[]]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[.,[[[[.,.],.],[[.,.],.]],.]]=>[[],[[[[]]],[[]]]]=>[[[[]],[[[]]]],[]]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[[],[[[],[],[]],[]]]=>[[[],[[],[],[]]],[]]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[[],[[[],[[]]],[]]]=>[[[],[[[]],[]]],[]]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[[],[[[[]],[]],[]]]=>[[[],[[],[[]]]],[]]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[[],[[[[],[]]],[]]]=>[[[],[[[],[]]]],[]]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[.,[[[[[.,.],.],.],[.,.]],.]]=>[[],[[[[[]]]],[]]]=>[[[],[[[[]]]]],[]]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[[],[[[],[],[],[]]]]=>[[[[],[],[],[]]],[]]=>[[.,[.,[[[[.,.],.],.],.]]],.]
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[[],[[[],[],[[]]]]]=>[[[[[]],[],[]]],[]]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[[],[[[],[[]],[]]]]=>[[[[],[[]],[]]],[]]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[[],[[[],[[],[]]]]]=>[[[[[],[]],[]]],[]]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[.,[[[.,[[[.,.],.],.]],.],.]]=>[[],[[[],[[[]]]]]]=>[[[[[[]]],[]]],[]]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[[],[[[[]],[],[]]]]=>[[[[],[],[[]]]],[]]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[.,[[[[.,.],[[.,.],.]],.],.]]=>[[],[[[[]],[[]]]]]=>[[[[[]],[[]]]],[]]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[[],[[[[],[]],[]]]]=>[[[[],[[],[]]]],[]]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[.,[[[[[.,.],.],[.,.]],.],.]]=>[[],[[[[[]]],[]]]]=>[[[[],[[[]]]]],[]]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[[],[[[[],[],[]]]]]=>[[[[[],[],[]]]],[]]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[.,[[[[.,[[.,.],.]],.],.],.]]=>[[],[[[[],[[]]]]]]=>[[[[[[]],[]]]],[]]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[.,[[[[[.,.],[.,.]],.],.],.]]=>[[],[[[[[]],[]]]]]=>[[[[[],[[]]]]],[]]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[.,[[[[[.,[.,.]],.],.],.],.]]=>[[],[[[[[],[]]]]]]=>[[[[[[],[]]]]],[]]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[.,[[[[[[.,.],.],.],.],.],.]]=>[[],[[[[[[]]]]]]]=>[[[[[[[]]]]]],[]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[[[]],[],[],[],[],[]]=>[[],[],[],[],[],[[]]]=>[[[[[[.,.],.],.],.],.],[.,.]]
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[[[]],[],[],[],[[]]]=>[[[]],[],[],[],[[]]]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[]],[],[],[[]],[]]=>[[],[[]],[],[],[[]]]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[[[]],[],[],[[],[]]]=>[[[],[]],[],[],[[]]]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]]]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]=>[[],[],[[]],[],[[]]]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]]]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]=>[[],[[],[]],[],[[]]]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]=>[[],[[[]]],[],[[]]]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[[[]],[],[[],[],[]]]=>[[[],[],[]],[],[[]]]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[[[]],[],[[],[[]]]]=>[[[[]],[]],[],[[]]]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[]],[],[[[]],[]]]=>[[[],[[]]],[],[[]]]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]]]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[[.,.],[.,[[[[.,.],.],.],.]]]=>[[[]],[],[[[[]]]]]=>[[[[[]]]],[],[[]]]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]=>[[],[],[],[[]],[[]]]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]]]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]]]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]]]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]]]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]]]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[[.,.],[[.,[[.,[.,.]],.]],.]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[[.,.],[[.,[[[.,.],.],.]],.]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[[.,.],[[[.,[[.,.],.]],.],.]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[.,.],[[[[.,[.,.]],.],.],.]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[[.,.],[[[[[.,.],.],.],.],.]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]=>[[],[],[],[],[[],[]]]=>[[[[[.,.],.],.],.],[[.,.],.]]
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]=>[[[]],[],[],[[],[]]]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]]]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]]]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]=>[[[[]]],[],[[],[]]]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]=>[[],[],[],[],[[[]]]]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]=>[[[]],[],[],[[[]]]]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]=>[[],[[]],[],[[[]]]]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]=>[[[],[]],[],[[[]]]]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]]]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]]]=>[[[[.,.],.],.],[[[.,.],.],.]]
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]]]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]]]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]]]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]]]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]]]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]]]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]]]=>[[[.,.],.],[[[[.,.],.],.],.]]
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]=>[[[]],[[],[],[],[]]]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]]]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]=>[[[]],[[[]],[],[]]]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]]]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]]]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]]]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[[[],[],[],[],[]],[]]=>[[],[[],[],[],[],[]]]=>[[.,.],[[[[[.,.],.],.],.],.]]
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[],[],[],[[]]],[]]=>[[],[[[]],[],[],[]]]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]=>[[],[[],[[]],[],[]]]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[[[],[],[[],[]]],[]]=>[[],[[[],[]],[],[]]]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[[[],[],[[[]]]],[]]=>[[],[[[[]]],[],[]]]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]=>[[],[[],[],[[]],[]]]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]=>[[],[[[]],[[]],[]]]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]=>[[],[[],[[],[]],[]]]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]=>[[],[[],[[[]]],[]]]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[[[],[[],[],[]]],[]]=>[[],[[[],[],[]],[]]]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[[[],[[],[[]]]],[]]=>[[],[[[[]],[]],[]]]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[]],[]]],[]]=>[[],[[[],[[]]],[]]]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[[[],[[[],[]]]],[]]=>[[],[[[[],[]]],[]]]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[[.,[[[[.,.],.],.],.]],[.,.]]=>[[[],[[[[]]]]],[]]=>[[],[[[[[]]]],[]]]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]]]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[[[[],[],[],[]]],[]]=>[[],[[[],[],[],[]]]]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[[[[],[],[[]]]],[]]=>[[],[[[[]],[],[]]]]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]]]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[[[[],[[],[]]]],[]]=>[[],[[[[],[]],[]]]]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[[[.,[[[.,.],.],.]],.],[.,.]]=>[[[[],[[[]]]]],[]]=>[[],[[[[[]]],[]]]]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]]]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]]]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]]]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]]]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[[[[[],[],[]]]],[]]=>[[],[[[[],[],[]]]]]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[[[[.,[[.,.],.]],.],.],[.,.]]=>[[[[[],[[]]]]],[]]=>[[],[[[[[]],[]]]]]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]=>[[],[[[[],[[]]]]]]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[[[[[.,[.,.]],.],.],.],[.,.]]=>[[[[[[],[]]]]],[]]=>[[],[[[[[],[]]]]]]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[[[[[[.,.],.],.],.],.],[.,.]]=>[[[[[[[]]]]]],[]]=>[[],[[[[[[]]]]]]]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[[[],[],[],[],[],[]]]=>[[[],[],[],[],[],[]]]=>[.,[[[[[[.,.],.],.],.],.],.]]
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[[[],[],[],[],[[]]]]=>[[[[]],[],[],[],[]]]=>[.,[[[[[.,[.,.]],.],.],.],.]]
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[[[],[],[],[[]],[]]]=>[[[],[[]],[],[],[]]]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[[[],[],[],[[],[]]]]=>[[[[],[]],[],[],[]]]=>[.,[[[[.,[[.,.],.]],.],.],.]]
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[[[],[],[],[[[]]]]]=>[[[[[]]],[],[],[]]]=>[.,[[[[.,[.,[.,.]]],.],.],.]]
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[[[],[],[[]],[],[]]]=>[[[],[],[[]],[],[]]]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[[[],[],[[]],[[]]]]=>[[[[]],[[]],[],[]]]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[[[],[],[[],[]],[]]]=>[[[],[[],[]],[],[]]]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[[[],[],[[[]]],[]]]=>[[[],[[[]]],[],[]]]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[[[],[],[[],[],[]]]]=>[[[[],[],[]],[],[]]]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[[[],[],[[],[[]]]]]=>[[[[[]],[]],[],[]]]=>[.,[[[.,[[.,[.,.]],.]],.],.]]
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[[[],[],[[[]],[]]]]=>[[[[],[[]]],[],[]]]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[[[],[],[[[],[]]]]]=>[[[[[],[]]],[],[]]]=>[.,[[[.,[.,[[.,.],.]]],.],.]]
[[.,[.,[[[[.,.],.],.],.]]],.]=>[[[],[],[[[[]]]]]]=>[[[[[[]]]],[],[]]]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[[[],[[]],[],[],[]]]=>[[[],[],[],[[]],[]]]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[[[],[[]],[],[[]]]]=>[[[[]],[],[[]],[]]]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[]],[[]],[]]]=>[[[],[[]],[[]],[]]]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]]]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[[.,[[.,.],[[[.,.],.],.]]],.]=>[[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]]]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[[[],[[],[]],[],[]]]=>[[[],[],[[],[]],[]]]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[[[],[[],[]],[[]]]]=>[[[[]],[[],[]],[]]]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[[[],[[[]]],[],[]]]=>[[[],[],[[[]]],[]]]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[[.,[[[.,.],.],[[.,.],.]]],.]=>[[[],[[[]]],[[]]]]=>[[[[]],[[[]]],[]]]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[[[],[[],[],[]],[]]]=>[[[],[[],[],[]],[]]]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[[.,[[.,[[.,.],.]],[.,.]]],.]=>[[[],[[],[[]]],[]]]=>[[[],[[[]],[]],[]]]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[[]],[]],[]]]=>[[[],[[],[[]]],[]]]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[[.,[[[.,[.,.]],.],[.,.]]],.]=>[[[],[[[],[]]],[]]]=>[[[],[[[],[]]],[]]]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[[.,[[[[.,.],.],.],[.,.]]],.]=>[[[],[[[[]]]],[]]]=>[[[],[[[[]]]],[]]]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[[[],[[],[],[],[]]]]=>[[[[],[],[],[]],[]]]=>[.,[[.,[[[[.,.],.],.],.]],.]]
[[.,[[.,[.,[[.,.],.]]],.]],.]=>[[[],[[],[],[[]]]]]=>[[[[[]],[],[]],[]]]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[[.,[[.,[[.,.],[.,.]]],.]],.]=>[[[],[[],[[]],[]]]]=>[[[[],[[]],[]],[]]]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[[.,[[.,[[.,[.,.]],.]],.]],.]=>[[[],[[],[[],[]]]]]=>[[[[[],[]],[]],[]]]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[[.,[[.,[[[.,.],.],.]],.]],.]=>[[[],[[],[[[]]]]]]=>[[[[[[]]],[]],[]]]=>[.,[[.,[[.,[.,[.,.]]],.]],.]]
[[.,[[[.,.],[.,[.,.]]],.]],.]=>[[[],[[[]],[],[]]]]=>[[[[],[],[[]]],[]]]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[[.,[[[.,.],[[.,.],.]],.]],.]=>[[[],[[[]],[[]]]]]=>[[[[[]],[[]]],[]]]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[[.,[[[.,[.,.]],[.,.]],.]],.]=>[[[],[[[],[]],[]]]]=>[[[[],[[],[]]],[]]]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[[.,[[[[.,.],.],[.,.]],.]],.]=>[[[],[[[[]]],[]]]]=>[[[[],[[[]]]],[]]]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[[.,[[[.,[.,[.,.]]],.],.]],.]=>[[[],[[[],[],[]]]]]=>[[[[[],[],[]]],[]]]=>[.,[[.,[.,[[[.,.],.],.]]],.]]
[[.,[[[.,[[.,.],.]],.],.]],.]=>[[[],[[[],[[]]]]]]=>[[[[[[]],[]]],[]]]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[[.,[[[[.,.],[.,.]],.],.]],.]=>[[[],[[[[]],[]]]]]=>[[[[[],[[]]]],[]]]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[[.,[[[[.,[.,.]],.],.],.]],.]=>[[[],[[[[],[]]]]]]=>[[[[[[],[]]]],[]]]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[[.,[[[[[.,.],.],.],.],.]],.]=>[[[],[[[[[]]]]]]]=>[[[[[[[]]]]],[]]]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[[[[]],[],[],[],[]]]=>[[[],[],[],[],[[]]]]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[[[[]],[],[],[[]]]]=>[[[[]],[],[],[[]]]]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]]]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[[[.,.],[.,[[[.,.],.],.]]],.]=>[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]]]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[[[.,.],[[.,[[.,.],.]],.]],.]=>[[[[]],[[],[[]]]]]=>[[[[[]],[]],[[]]]]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]]]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[[[.,.],[[[.,[.,.]],.],.]],.]=>[[[[]],[[[],[]]]]]=>[[[[[],[]]],[[]]]]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[[[.,.],[[[[.,.],.],.],.]],.]=>[[[[]],[[[[]]]]]]=>[[[[[[]]]],[[]]]]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]]]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]]]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]]]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]]]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[[[[.,.],.],[[[.,.],.],.]],.]=>[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]]]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]]]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]]]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]]]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[[[[[.,.],.],.],[.,[.,.]]],.]=>[[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]]]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[[[[[.,.],.],.],[[.,.],.]],.]=>[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[[[[],[],[],[]],[]]]=>[[[],[[],[],[],[]]]]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[[[[],[],[[]]],[]]]=>[[[],[[[]],[],[]]]]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]]]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[[[[],[[],[]]],[]]]=>[[[],[[[],[]],[]]]]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[[[.,[[[.,.],.],.]],[.,.]],.]=>[[[[],[[[]]]],[]]]=>[[[],[[[[]]],[]]]]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[[[[[],[],[]]],[]]]=>[[[],[[[],[],[]]]]]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[[[[.,[[.,.],.]],.],[.,.]],.]=>[[[[[],[[]]]],[]]]=>[[[],[[[[]],[]]]]]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]]]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[[[[[.,[.,.]],.],.],[.,.]],.]=>[[[[[[],[]]]],[]]]=>[[[],[[[[],[]]]]]]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[[[[[[.,.],.],.],.],[.,.]],.]=>[[[[[[[]]]]],[]]]=>[[[],[[[[[]]]]]]]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[[[[],[],[],[],[]]]]=>[[[[],[],[],[],[]]]]=>[.,[.,[[[[[.,.],.],.],.],.]]]
[[[.,[.,[.,[[.,.],.]]]],.],.]=>[[[[],[],[],[[]]]]]=>[[[[[]],[],[],[]]]]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[[[.,[.,[[.,.],[.,.]]]],.],.]=>[[[[],[],[[]],[]]]]=>[[[[],[[]],[],[]]]]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[[[.,[.,[[.,[.,.]],.]]],.],.]=>[[[[],[],[[],[]]]]]=>[[[[[],[]],[],[]]]]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[[[.,[.,[[[.,.],.],.]]],.],.]=>[[[[],[],[[[]]]]]]=>[[[[[[]]],[],[]]]]=>[.,[.,[[[.,[.,[.,.]]],.],.]]]
[[[.,[[.,.],[.,[.,.]]]],.],.]=>[[[[],[[]],[],[]]]]=>[[[[],[],[[]],[]]]]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[[[.,[[.,.],[[.,.],.]]],.],.]=>[[[[],[[]],[[]]]]]=>[[[[[]],[[]],[]]]]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[[[.,[[.,[.,.]],[.,.]]],.],.]=>[[[[],[[],[]],[]]]]=>[[[[],[[],[]],[]]]]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[[[.,[[[.,.],.],[.,.]]],.],.]=>[[[[],[[[]]],[]]]]=>[[[[],[[[]]],[]]]]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[[[.,[[.,[.,[.,.]]],.]],.],.]=>[[[[],[[],[],[]]]]]=>[[[[[],[],[]],[]]]]=>[.,[.,[[.,[[[.,.],.],.]],.]]]
[[[.,[[.,[[.,.],.]],.]],.],.]=>[[[[],[[],[[]]]]]]=>[[[[[[]],[]],[]]]]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[[[.,[[[.,.],[.,.]],.]],.],.]=>[[[[],[[[]],[]]]]]=>[[[[[],[[]]],[]]]]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[[[.,[[[.,[.,.]],.],.]],.],.]=>[[[[],[[[],[]]]]]]=>[[[[[[],[]]],[]]]]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[[[.,[[[[.,.],.],.],.]],.],.]=>[[[[],[[[[]]]]]]]=>[[[[[[[]]]],[]]]]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[[[[.,.],[.,[.,[.,.]]]],.],.]=>[[[[[]],[],[],[]]]]=>[[[[],[],[],[[]]]]]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[[[[.,.],[.,[[.,.],.]]],.],.]=>[[[[[]],[],[[]]]]]=>[[[[[]],[],[[]]]]]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[[[[.,.],[[.,.],[.,.]]],.],.]=>[[[[[]],[[]],[]]]]=>[[[[],[[]],[[]]]]]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[[[[.,.],[[.,[.,.]],.]],.],.]=>[[[[[]],[[],[]]]]]=>[[[[[],[]],[[]]]]]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[[[[.,.],[[[.,.],.],.]],.],.]=>[[[[[]],[[[]]]]]]=>[[[[[[]]],[[]]]]]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[[[[.,[.,.]],[.,[.,.]]],.],.]=>[[[[[],[]],[],[]]]]=>[[[[],[],[[],[]]]]]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[[[[.,[.,.]],[[.,.],.]],.],.]=>[[[[[],[]],[[]]]]]=>[[[[[]],[[],[]]]]]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[[[[[.,.],.],[.,[.,.]]],.],.]=>[[[[[[]]],[],[]]]]=>[[[[],[],[[[]]]]]]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[[[[[.,.],.],[[.,.],.]],.],.]=>[[[[[[]]],[[]]]]]=>[[[[[]],[[[]]]]]]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[[[[.,[.,[.,.]]],[.,.]],.],.]=>[[[[[],[],[]],[]]]]=>[[[[],[[],[],[]]]]]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[[[[.,[[.,.],.]],[.,.]],.],.]=>[[[[[],[[]]],[]]]]=>[[[[],[[[]],[]]]]]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]=>[[[[],[[],[[]]]]]]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[[[[[.,[.,.]],.],[.,.]],.],.]=>[[[[[[],[]]],[]]]]=>[[[[],[[[],[]]]]]]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[[[[[[.,.],.],.],[.,.]],.],.]=>[[[[[[[]]]],[]]]]=>[[[[],[[[[]]]]]]]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[[[[.,[.,[.,[.,.]]]],.],.],.]=>[[[[[],[],[],[]]]]]=>[[[[[],[],[],[]]]]]=>[.,[.,[.,[[[[.,.],.],.],.]]]]
[[[[.,[.,[[.,.],.]]],.],.],.]=>[[[[[],[],[[]]]]]]=>[[[[[[]],[],[]]]]]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[[[[.,[[.,.],[.,.]]],.],.],.]=>[[[[[],[[]],[]]]]]=>[[[[[],[[]],[]]]]]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[[[[.,[[.,[.,.]],.]],.],.],.]=>[[[[[],[[],[]]]]]]=>[[[[[[],[]],[]]]]]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[[[[.,[[[.,.],.],.]],.],.],.]=>[[[[[],[[[]]]]]]]=>[[[[[[[]]],[]]]]]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[[[[[.,.],[.,[.,.]]],.],.],.]=>[[[[[[]],[],[]]]]]=>[[[[[],[],[[]]]]]]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[[[[[.,.],[[.,.],.]],.],.],.]=>[[[[[[]],[[]]]]]]=>[[[[[[]],[[]]]]]]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[[[[[.,[.,.]],[.,.]],.],.],.]=>[[[[[[],[]],[]]]]]=>[[[[[],[[],[]]]]]]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[[[[[[.,.],.],[.,.]],.],.],.]=>[[[[[[[]]],[]]]]]=>[[[[[],[[[]]]]]]]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[[[[[.,[.,[.,.]]],.],.],.],.]=>[[[[[[],[],[]]]]]]=>[[[[[[],[],[]]]]]]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[[[[[.,[[.,.],.]],.],.],.],.]=>[[[[[[],[[]]]]]]]=>[[[[[[[]],[]]]]]]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[[[[[[.,.],[.,.]],.],.],.],.]=>[[[[[[[]],[]]]]]]=>[[[[[[],[[]]]]]]]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[[[[[[.,[.,.]],.],.],.],.],.]=>[[[[[[[],[]]]]]]]=>[[[[[[[],[]]]]]]]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[[[[[[[.,.],.],.],.],.],.],.]=>[[[[[[[[]]]]]]]]=>[[[[[[[[]]]]]]]]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[],[],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[],[]]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[[],[],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[],[]]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[],[],[],[],[],[[]],[]]=>[[],[[]],[],[],[],[],[]]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[],[],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[],[]]=>[[[[[[.,[[.,.],.]],.],.],.],.],.]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[[],[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[],[]]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[[],[],[],[],[[]],[],[]]=>[[],[],[[]],[],[],[],[]]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[[],[],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[],[]]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[],[],[],[],[[],[]],[]]=>[[],[[],[]],[],[],[],[]]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[[],[],[],[],[[[]]],[]]=>[[],[[[]]],[],[],[],[]]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[],[],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[],[]]=>[[[[[.,[[[.,.],.],.]],.],.],.],.]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[[],[],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[],[]]=>[[[[[.,[[.,[.,.]],.]],.],.],.],.]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[[],[],[],[],[[[]],[]]]=>[[[],[[]]],[],[],[],[]]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[[],[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[],[]]=>[[[[[.,[.,[[.,.],.]]],.],.],.],.]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[[],[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[],[]]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[],[],[],[[]],[],[],[]]=>[[],[],[],[[]],[],[],[]]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[[],[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[],[]]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[],[],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[],[]]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[[],[],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[],[]]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[[],[],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[],[]]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[],[],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[],[]]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[],[],[],[[],[]],[[]]]=>[[[]],[[],[]],[],[],[]]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[[],[],[],[[[]]],[],[]]=>[[],[],[[[]]],[],[],[]]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[[],[],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[],[]]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[[],[],[],[[],[],[]],[]]=>[[],[[],[],[]],[],[],[]]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[[],[],[],[[],[[]]],[]]=>[[],[[[]],[]],[],[],[]]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[[],[],[],[[[]],[]],[]]=>[[],[[],[[]]],[],[],[]]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>[[],[],[],[[[],[]]],[]]=>[[],[[[],[]]],[],[],[]]=>[[[[[.,.],[.,[[.,.],.]]],.],.],.]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[[],[],[],[[[[]]]],[]]=>[[],[[[[]]]],[],[],[]]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[],[],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[],[]]=>[[[[.,[[[[.,.],.],.],.]],.],.],.]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[[],[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[],[]]=>[[[[.,[[[.,[.,.]],.],.]],.],.],.]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[],[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[],[]]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[[],[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[],[]]=>[[[[.,[[.,[[.,.],.]],.]],.],.],.]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[[],[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[],[]]=>[[[[.,[[.,[.,[.,.]]],.]],.],.],.]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[[],[],[],[[[]],[],[]]]=>[[[],[],[[]]],[],[],[]]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[[],[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[],[]]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[[],[],[],[[[],[]],[]]]=>[[[],[[],[]]],[],[],[]]=>[[[[.,[[.,.],[[.,.],.]]],.],.],.]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[[],[],[],[[[[]]],[]]]=>[[[],[[[]]]],[],[],[]]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[[],[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[],[]]=>[[[[.,[.,[[[.,.],.],.]]],.],.],.]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[[],[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[],[]]=>[[[[.,[.,[[.,[.,.]],.]]],.],.],.]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[[],[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[],[]]=>[[[[.,[.,[[.,.],[.,.]]]],.],.],.]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[[],[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[],[]]=>[[[[.,[.,[.,[[.,.],.]]]],.],.],.]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[[],[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[],[]]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[],[],[[]],[],[],[],[]]=>[[],[],[],[],[[]],[],[]]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[[],[],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[],[]]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[[],[],[[]],[],[[]],[]]=>[[],[[]],[],[[]],[],[]]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[],[],[[]],[],[[],[]]]=>[[[],[]],[],[[]],[],[]]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>[[],[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[],[]]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[],[],[[]],[[]],[],[]]=>[[],[],[[]],[[]],[],[]]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[],[],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[],[]]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[],[],[[]],[[],[]],[]]=>[[],[[],[]],[[]],[],[]]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[[],[],[[]],[[[]]],[]]=>[[],[[[]]],[[]],[],[]]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[[],[],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[],[]]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[[],[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[],[]]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>[[],[],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[],[]]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]=>[[],[],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[],[]]=>[[[[.,[.,[[.,.],.]]],[.,.]],.],.]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[[],[],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[],[]]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[],[],[[],[]],[],[],[]]=>[[],[],[],[[],[]],[],[]]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[[],[],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[],[]]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[],[],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[],[]]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[],[],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[],[]]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[[],[],[[],[]],[[[]]]]=>[[[[]]],[[],[]],[],[]]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[[],[],[[[]]],[],[],[]]=>[[],[],[],[[[]]],[],[]]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[[],[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[],[]]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[[],[],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[],[]]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>[[],[],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[],[]]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[[],[],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[],[]]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[],[],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[],[]]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[[],[],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[],[]]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>[[],[],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[],[]]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>[[],[],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[],[]]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>[[],[],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[],[]]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[[],[],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[],[]]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[[],[],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[],[]]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>[[],[],[[[],[]]],[[]]]=>[[[]],[[[],[]]],[],[]]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[[],[],[[[[]]]],[],[]]=>[[],[],[[[[]]]],[],[]]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>[[],[],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[],[]]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[[],[],[[],[],[],[]],[]]=>[[],[[],[],[],[]],[],[]]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[[],[],[[],[],[[]]],[]]=>[[],[[[]],[],[]],[],[]]=>[[[[.,.],[[[.,[.,.]],.],.]],.],.]
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[[],[],[[],[[]],[]],[]]=>[[],[[],[[]],[]],[],[]]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[[],[],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[],[]]=>[[[[.,.],[[.,[[.,.],.]],.]],.],.]
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>[[],[],[[],[[[]]]],[]]=>[[],[[[[]]],[]],[],[]]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>[[],[],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[],[]]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>[[],[],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[],[]]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[[],[],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[],[]]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>[[],[],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[],[]]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>[[],[],[[[],[],[]]],[]]=>[[],[[[],[],[]]],[],[]]=>[[[[.,.],[.,[[[.,.],.],.]]],.],.]
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>[[],[],[[[],[[]]]],[]]=>[[],[[[[]],[]]],[],[]]=>[[[[.,.],[.,[[.,[.,.]],.]]],.],.]
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>[[],[],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[],[]]=>[[[[.,.],[.,[[.,.],[.,.]]]],.],.]
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>[[],[],[[[[],[]]]],[]]=>[[],[[[[],[]]]],[],[]]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>[[],[],[[[[[]]]]],[]]=>[[],[[[[[]]]]],[],[]]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[[],[],[[],[],[],[],[]]]=>[[[],[],[],[],[]],[],[]]=>[[[.,[[[[[.,.],.],.],.],.]],.],.]
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[[],[],[[],[],[],[[]]]]=>[[[[]],[],[],[]],[],[]]=>[[[.,[[[[.,[.,.]],.],.],.]],.],.]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[[],[],[[],[],[[]],[]]]=>[[[],[[]],[],[]],[],[]]=>[[[.,[[[[.,.],[.,.]],.],.]],.],.]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]=>[[],[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[],[]]=>[[[.,[[[.,[[.,.],.]],.],.]],.],.]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]]=>[[],[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[],[]]=>[[[.,[[[.,[.,[.,.]]],.],.]],.],.]
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[[],[],[[],[[]],[],[]]]=>[[[],[],[[]],[]],[],[]]=>[[[.,[[[[.,.],.],[.,.]],.]],.],.]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>[[],[],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[],[]]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[[],[],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[],[]]=>[[[.,[[[.,.],[[.,.],.]],.]],.],.]
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>[[],[],[[],[[[]]],[]]]=>[[[],[[[]]],[]],[],[]]=>[[[.,[[[.,.],[.,[.,.]]],.]],.],.]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[],[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[],[]]=>[[[.,[[.,[[[.,.],.],.]],.]],.],.]
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>[[],[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[],[]]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[[],[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[],[]]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[[],[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[],[]]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[[],[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[],[]]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>[[],[],[[[]],[],[],[]]]=>[[[],[],[],[[]]],[],[]]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]=>[[],[],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[],[]]=>[[[.,[[[.,[.,.]],.],[.,.]]],.],.]
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]=>[[],[],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[],[]]=>[[[.,[[[.,.],[.,.]],[.,.]]],.],.]
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]=>[[],[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[],[]]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>[[],[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[],[]]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>[[],[],[[[],[]],[],[]]]=>[[[],[],[[],[]]],[],[]]=>[[[.,[[[.,.],.],[[.,.],.]]],.],.]
[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]=>[[],[],[[[],[]],[[]]]]=>[[[[]],[[],[]]],[],[]]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[[],[],[[[[]]],[],[]]]=>[[[],[],[[[]]]],[],[]]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[.,[.,[[[[.,.],.],[[.,.],.]],.]]]=>[[],[],[[[[]]],[[]]]]=>[[[[]],[[[]]]],[],[]]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>[[],[],[[[],[],[]],[]]]=>[[[],[[],[],[]]],[],[]]=>[[[.,[[.,.],[[[.,.],.],.]]],.],.]
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]=>[[],[],[[[],[[]]],[]]]=>[[[],[[[]],[]]],[],[]]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[[],[],[[[[]],[]],[]]]=>[[[],[[],[[]]]],[],[]]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]]=>[[],[],[[[[],[]]],[]]]=>[[[],[[[],[]]]],[],[]]=>[[[.,[[.,.],[.,[[.,.],.]]]],.],.]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>[[],[],[[[[[]]]],[]]]=>[[[],[[[[]]]]],[],[]]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[[],[],[[[],[],[],[]]]]=>[[[[],[],[],[]]],[],[]]=>[[[.,[.,[[[[.,.],.],.],.]]],.],.]
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]]=>[[],[],[[[],[],[[]]]]]=>[[[[[]],[],[]]],[],[]]=>[[[.,[.,[[[.,[.,.]],.],.]]],.],.]
[.,[.,[[[.,[[.,.],[.,.]]],.],.]]]=>[[],[],[[[],[[]],[]]]]=>[[[[],[[]],[]]],[],[]]=>[[[.,[.,[[[.,.],[.,.]],.]]],.],.]
[.,[.,[[[.,[[.,[.,.]],.]],.],.]]]=>[[],[],[[[],[[],[]]]]]=>[[[[[],[]],[]]],[],[]]=>[[[.,[.,[[.,[[.,.],.]],.]]],.],.]
[.,[.,[[[.,[[[.,.],.],.]],.],.]]]=>[[],[],[[[],[[[]]]]]]=>[[[[[[]]],[]]],[],[]]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]=>[[],[],[[[[]],[],[]]]]=>[[[[],[],[[]]]],[],[]]=>[[[.,[.,[[[.,.],.],[.,.]]]],.],.]
[.,[.,[[[[.,.],[[.,.],.]],.],.]]]=>[[],[],[[[[]],[[]]]]]=>[[[[[]],[[]]]],[],[]]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]]=>[[],[],[[[[],[]],[]]]]=>[[[[],[[],[]]]],[],[]]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>[[],[],[[[[[]]],[]]]]=>[[[[],[[[]]]]],[],[]]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]]=>[[],[],[[[[],[],[]]]]]=>[[[[[],[],[]]]],[],[]]=>[[[.,[.,[.,[[[.,.],.],.]]]],.],.]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]]=>[[],[],[[[[],[[]]]]]]=>[[[[[[]],[]]]],[],[]]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]]=>[[],[],[[[[[]],[]]]]]=>[[[[[],[[]]]]],[],[]]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>[[],[],[[[[[],[]]]]]]=>[[[[[[],[]]]]],[],[]]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[.,[.,[[[[[[.,.],.],.],.],.],.]]]=>[[],[],[[[[[[]]]]]]]=>[[[[[[[]]]]]],[],[]]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[],[[]],[],[],[],[],[]]=>[[],[],[],[],[],[[]],[]]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[[],[[]],[],[],[],[[]]]=>[[[]],[],[],[],[[]],[]]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[],[[]],[],[],[[]],[]]=>[[],[[]],[],[],[[]],[]]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[],[[]],[],[],[[],[]]]=>[[[],[]],[],[],[[]],[]]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>[[],[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]],[]]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[],[[]],[],[[]],[],[]]=>[[],[],[[]],[],[[]],[]]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[[],[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]],[]]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[[],[[]],[],[[],[]],[]]=>[[],[[],[]],[],[[]],[]]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[[],[[]],[],[[[]]],[]]=>[[],[[[]]],[],[[]],[]]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[[],[[]],[],[[],[],[]]]=>[[[],[],[]],[],[[]],[]]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[[],[[]],[],[[],[[]]]]=>[[[[]],[]],[],[[]],[]]=>[[[[.,[[.,[.,.]],.]],.],[.,.]],.]
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>[[],[[]],[],[[[]],[]]]=>[[[],[[]]],[],[[]],[]]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>[[],[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]],[]]=>[[[[.,[.,[[.,.],.]]],.],[.,.]],.]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[[],[[]],[],[[[[]]]]]=>[[[[[]]]],[],[[]],[]]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[],[[]],[[]],[],[],[]]=>[[],[],[],[[]],[[]],[]]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[],[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]],[]]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[],[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]],[]]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[[],[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]],[]]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[[],[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]],[]]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[],[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]],[]]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[],[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]],[]]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[[],[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]],[]]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[],[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]],[]]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[],[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]],[]]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[[],[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]],[]]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[],[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]],[]]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[[],[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]],[]]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>[[],[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]],[]]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[[],[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]],[]]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[[],[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]],[]]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[[],[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]],[]]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[[],[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]],[]]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>[[],[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]],[]]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[[],[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]],[]]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[[],[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]],[]]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[],[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]],[]]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>[[],[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]],[]]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>[[],[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]],[]]=>[[[.,[.,[[[.,.],.],.]]],[.,.]],.]
[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>[[],[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]],[]]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>[[],[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]],[]]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>[[],[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]],[]]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[[],[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]],[]]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[],[[],[]],[],[],[],[]]=>[[],[],[],[],[[],[]],[]]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[],[[],[]],[],[],[[]]]=>[[[]],[],[],[[],[]],[]]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[],[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]],[]]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[],[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]],[]]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[[],[[],[]],[],[[[]]]]=>[[[[]]],[],[[],[]],[]]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[],[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]],[]]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[],[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]],[]]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[],[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]],[]]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[],[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]],[]]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[],[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]],[]]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[[],[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]],[]]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[],[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]],[]]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[[],[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]],[]]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[[],[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]],[]]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[[],[[[]]],[],[],[],[]]=>[[],[],[],[],[[[]]],[]]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>[[],[[[]]],[],[],[[]]]=>[[[]],[],[],[[[]]],[]]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[[],[[[]]],[],[[]],[]]=>[[],[[]],[],[[[]]],[]]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>[[],[[[]]],[],[[],[]]]=>[[[],[]],[],[[[]]],[]]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[[],[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]],[]]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[],[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]],[]]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[[],[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]],[]]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[[],[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]],[]]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[[],[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]],[]]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[[],[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]],[]]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[[],[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]],[]]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>[[],[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]],[]]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>[[],[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]],[]]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[[],[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]],[]]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[],[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]],[]]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[],[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]],[]]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[],[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]],[]]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[],[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]],[]]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[],[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]],[]]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[],[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]],[]]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[[],[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]],[]]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[],[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]],[]]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[],[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]],[]]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[[],[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]],[]]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[[],[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]],[]]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[[],[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]],[]]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[],[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]],[]]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[[],[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]],[]]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[],[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]],[]]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[[],[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]],[]]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>[[],[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]],[]]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[[],[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]],[]]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>[[],[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]],[]]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[[],[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]],[]]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[[],[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]],[]]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[[],[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]],[]]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[[],[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]],[]]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[[],[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]],[]]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[[],[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]],[]]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[],[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]],[]]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[[],[[],[],[],[]],[[]]]=>[[[]],[[],[],[],[]],[]]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[[],[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]],[]]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]
[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[],[[],[],[[]]],[[]]]=>[[[]],[[[]],[],[]],[]]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[],[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]],[]]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[],[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]],[]]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[],[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]],[]]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[],[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]],[]]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[.,[[.,[[[.,.],.],.]],[.,[.,.]]]]=>[[],[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]],[]]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>[[],[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]],[]]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[],[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]],[]]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[],[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]],[]]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[[],[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]],[]]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[[],[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]],[]]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[],[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]],[]]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[],[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]],[]]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[[],[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]],[]]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[[],[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]],[]]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[[],[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]],[]]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[[],[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]],[]]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>[[],[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]],[]]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[[],[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]],[]]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>[[],[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]],[]]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>[[],[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]],[]]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>[[],[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]],[]]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[[],[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]],[]]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[[],[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]],[]]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[[],[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]],[]]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[],[[],[],[],[],[]],[]]=>[[],[[],[],[],[],[]],[]]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>[[],[[],[],[],[[]]],[]]=>[[],[[[]],[],[],[]],[]]=>[[[.,.],[[[[.,[.,.]],.],.],.]],.]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[[],[[],[],[[]],[]],[]]=>[[],[[],[[]],[],[]],[]]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[[],[[],[],[[],[]]],[]]=>[[],[[[],[]],[],[]],[]]=>[[[.,.],[[[.,[[.,.],.]],.],.]],.]
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>[[],[[],[],[[[]]]],[]]=>[[],[[[[]]],[],[]],[]]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.]
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[],[[],[[]],[],[]],[]]=>[[],[[],[],[[]],[]],[]]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[[],[[],[[]],[[]]],[]]=>[[],[[[]],[[]],[]],[]]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[],[[],[[],[]],[]],[]]=>[[],[[],[[],[]],[]],[]]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[[],[[],[[[]]],[]],[]]=>[[],[[],[[[]]],[]],[]]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[[],[[],[[],[],[]]],[]]=>[[],[[[],[],[]],[]],[]]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[[],[[],[[],[[]]]],[]]=>[[],[[[[]],[]],[]],[]]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]=>[[],[[],[[[]],[]]],[]]=>[[],[[[],[[]]],[]],[]]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]=>[[],[[],[[[],[]]]],[]]=>[[],[[[[],[]]],[]],[]]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]]=>[[],[[],[[[[]]]]],[]]=>[[],[[[[[]]]],[]],[]]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[[],[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]],[]]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[[],[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]],[]]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[],[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]],[]]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>[[],[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]],[]]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>[[],[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]],[]]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[[],[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]],[]]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>[[],[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]],[]]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>[[],[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]],[]]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>[[],[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]],[]]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[],[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]],[]]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[[],[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]],[]]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[],[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]],[]]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>[[],[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]],[]]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[[],[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]],[]]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[[],[[[],[],[],[]]],[]]=>[[],[[[],[],[],[]]],[]]=>[[[.,.],[.,[[[[.,.],.],.],.]]],.]
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>[[],[[[],[],[[]]]],[]]=>[[],[[[[]],[],[]]],[]]=>[[[.,.],[.,[[[.,[.,.]],.],.]]],.]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[[],[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]],[]]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.]
[.,[[[.,[[.,[.,.]],.]],.],[.,.]]]=>[[],[[[],[[],[]]]],[]]=>[[],[[[[],[]],[]]],[]]=>[[[.,.],[.,[[.,[[.,.],.]],.]]],.]
[.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>[[],[[[],[[[]]]]],[]]=>[[],[[[[[]]],[]]],[]]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[[],[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]],[]]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>[[],[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]],[]]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[[],[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]],[]]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>[[],[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]],[]]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>[[],[[[[],[],[]]]],[]]=>[[],[[[[],[],[]]]],[]]=>[[[.,.],[.,[.,[[[.,.],.],.]]]],.]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>[[],[[[[],[[]]]]],[]]=>[[],[[[[[]],[]]]],[]]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[[],[[[[[]],[]]]],[]]=>[[],[[[[],[[]]]]],[]]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>[[],[[[[[],[]]]]],[]]=>[[],[[[[[],[]]]]],[]]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[[],[[[[[[]]]]]],[]]=>[[],[[[[[[]]]]]],[]]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[[],[[],[],[],[],[],[]]]=>[[[],[],[],[],[],[]],[]]=>[[.,[[[[[[.,.],.],.],.],.],.]],.]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[],[[],[],[],[],[[]]]]=>[[[[]],[],[],[],[]],[]]=>[[.,[[[[[.,[.,.]],.],.],.],.]],.]
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[[],[[],[],[],[[]],[]]]=>[[[],[[]],[],[],[]],[]]=>[[.,[[[[[.,.],[.,.]],.],.],.]],.]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[[],[[],[],[],[[],[]]]]=>[[[[],[]],[],[],[]],[]]=>[[.,[[[[.,[[.,.],.]],.],.],.]],.]
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]]=>[[],[[],[],[],[[[]]]]]=>[[[[[]]],[],[],[]],[]]=>[[.,[[[[.,[.,[.,.]]],.],.],.]],.]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[[],[[],[],[[]],[],[]]]=>[[[],[],[[]],[],[]],[]]=>[[.,[[[[[.,.],.],[.,.]],.],.]],.]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]]=>[[],[[],[],[[]],[[]]]]=>[[[[]],[[]],[],[]],[]]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[[],[[],[],[[],[]],[]]]=>[[[],[[],[]],[],[]],[]]=>[[.,[[[[.,.],[[.,.],.]],.],.]],.]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>[[],[[],[],[[[]]],[]]]=>[[[],[[[]]],[],[]],[]]=>[[.,[[[[.,.],[.,[.,.]]],.],.]],.]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]=>[[],[[],[],[[],[],[]]]]=>[[[[],[],[]],[],[]],[]]=>[[.,[[[.,[[[.,.],.],.]],.],.]],.]
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]]=>[[],[[],[],[[],[[]]]]]=>[[[[[]],[]],[],[]],[]]=>[[.,[[[.,[[.,[.,.]],.]],.],.]],.]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[[],[[],[],[[[]],[]]]]=>[[[[],[[]]],[],[]],[]]=>[[.,[[[.,[[.,.],[.,.]]],.],.]],.]
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]]=>[[],[[],[],[[[],[]]]]]=>[[[[[],[]]],[],[]],[]]=>[[.,[[[.,[.,[[.,.],.]]],.],.]],.]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[[],[[],[],[[[[]]]]]]=>[[[[[[]]]],[],[]],[]]=>[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[[],[[],[[]],[],[],[]]]=>[[[],[],[],[[]],[]],[]]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]
[.,[[.,[[.,.],[.,[[.,.],.]]]],.]]=>[[],[[],[[]],[],[[]]]]=>[[[[]],[],[[]],[]],[]]=>[[.,[[[[.,[.,.]],.],[.,.]],.]],.]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[[],[[],[[]],[[]],[]]]=>[[[],[[]],[[]],[]],[]]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[[],[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]],[]]=>[[.,[[[.,[[.,.],.]],[.,.]],.]],.]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>[[],[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]],[]]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[[],[[],[[],[]],[],[]]]=>[[[],[],[[],[]],[]],[]]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[],[[],[[],[]],[[]]]]=>[[[[]],[[],[]],[]],[]]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]]=>[[],[[],[[[]]],[],[]]]=>[[[],[],[[[]]],[]],[]]=>[[.,[[[[.,.],.],[.,[.,.]]],.]],.]
[.,[[.,[[[.,.],.],[[.,.],.]]],.]]=>[[],[[],[[[]]],[[]]]]=>[[[[]],[[[]]],[]],[]]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[[],[[],[[],[],[]],[]]]=>[[[],[[],[],[]],[]],[]]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[[],[[],[[],[[]]],[]]]=>[[[],[[[]],[]],[]],[]]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>[[],[[],[[[]],[]],[]]]=>[[[],[[],[[]]],[]],[]]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]
[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]=>[[],[[],[[[],[]]],[]]]=>[[[],[[[],[]]],[]],[]]=>[[.,[[[.,.],[.,[[.,.],.]]],.]],.]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]]=>[[],[[],[[[[]]]],[]]]=>[[[],[[[[]]]],[]],[]]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[[],[[],[[],[],[],[]]]]=>[[[[],[],[],[]],[]],[]]=>[[.,[[.,[[[[.,.],.],.],.]],.]],.]
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[[],[[],[[],[],[[]]]]]=>[[[[[]],[],[]],[]],[]]=>[[.,[[.,[[[.,[.,.]],.],.]],.]],.]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[],[[],[[],[[]],[]]]]=>[[[[],[[]],[]],[]],[]]=>[[.,[[.,[[[.,.],[.,.]],.]],.]],.]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[],[[],[[],[[],[]]]]]=>[[[[[],[]],[]],[]],[]]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[[],[[],[[],[[[]]]]]]=>[[[[[[]]],[]],[]],[]]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[[],[[],[[[]],[],[]]]]=>[[[[],[],[[]]],[]],[]]=>[[.,[[.,[[[.,.],.],[.,.]]],.]],.]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[[],[[],[[[]],[[]]]]]=>[[[[[]],[[]]],[]],[]]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[[],[[],[[[],[]],[]]]]=>[[[[],[[],[]]],[]],[]]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]]=>[[],[[],[[[[]]],[]]]]=>[[[[],[[[]]]],[]],[]]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[[],[[],[[[],[],[]]]]]=>[[[[[],[],[]]],[]],[]]=>[[.,[[.,[.,[[[.,.],.],.]]],.]],.]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]]=>[[],[[],[[[],[[]]]]]]=>[[[[[[]],[]]],[]],[]]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>[[],[[],[[[[]],[]]]]]=>[[[[[],[[]]]],[]],[]]=>[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]]=>[[],[[],[[[[],[]]]]]]=>[[[[[[],[]]]],[]],[]]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[.,[[.,[[[[[.,.],.],.],.],.]],.]]=>[[],[[],[[[[[]]]]]]]=>[[[[[[[]]]]],[]],[]]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>[[],[[[]],[],[],[],[]]]=>[[[],[],[],[],[[]]],[]]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]=>[[],[[[]],[],[],[[]]]]=>[[[[]],[],[],[[]]],[]]=>[[.,[[[[.,[.,.]],.],.],[.,.]]],.]
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]]=>[[],[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]],[]]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[[],[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]],[]]=>[[.,[[[.,[[.,.],.]],.],[.,.]]],.]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[[],[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]],[]]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>[[],[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]],[]]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[[],[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]],[]]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[[],[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]],[]]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>[[],[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]],[]]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>[[],[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]],[]]=>[[.,[[.,[[[.,.],.],.]],[.,.]]],.]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>[[],[[[]],[[],[[]]]]]=>[[[[[]],[]],[[]]],[]]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[[],[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]],[]]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[[],[[[]],[[[],[]]]]]=>[[[[[],[]]],[[]]],[]]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[[],[[[]],[[[[]]]]]]=>[[[[[[]]]],[[]]],[]]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>[[],[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]],[]]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[[],[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]],[]]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>[[],[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]],[]]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[[],[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]],[]]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>[[],[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]],[]]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[[],[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]],[]]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[.,[[[[.,.],.],[.,[[.,.],.]]],.]]=>[[],[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]],[]]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[[],[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]],[]]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[.,[[[[.,.],.],[[.,[.,.]],.]],.]]=>[[],[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]],[]]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[[],[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]],[]]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[[],[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]],[]]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[[],[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]],[]]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>[[],[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]],[]]=>[[.,[[[.,.],.],[[.,[.,.]],.]]],.]
[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>[[],[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]],[]]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[[],[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]],[]]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[[],[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]],[]]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[[],[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]],[]]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[[],[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]],[]]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[[],[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]],[]]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[[],[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]],[]]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[[],[[[],[],[],[]],[]]]=>[[[],[[],[],[],[]]],[]]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]]=>[[],[[[],[],[[]]],[]]]=>[[[],[[[]],[],[]]],[]]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]=>[[],[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]],[]]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[[],[[[],[[],[]]],[]]]=>[[[],[[[],[]],[]]],[]]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]]=>[[],[[[],[[[]]]],[]]]=>[[[],[[[[]]],[]]],[]]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[[],[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]],[]]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]
[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>[[],[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]],[]]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[[],[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]],[]]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[[],[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]],[]]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>[[],[[[[],[],[]]],[]]]=>[[[],[[[],[],[]]]],[]]=>[[.,[[.,.],[.,[[[.,.],.],.]]]],.]
[.,[[[[.,[[.,.],.]],.],[.,.]],.]]=>[[],[[[[],[[]]]],[]]]=>[[[],[[[[]],[]]]],[]]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>[[],[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]],[]]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]]=>[[],[[[[[],[]]]],[]]]=>[[[],[[[[],[]]]]],[]]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[.,[[[[[[.,.],.],.],.],[.,.]],.]]=>[[],[[[[[[]]]]],[]]]=>[[[],[[[[[]]]]]],[]]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[[],[[[],[],[],[],[]]]]=>[[[[],[],[],[],[]]],[]]=>[[.,[.,[[[[[.,.],.],.],.],.]]],.]
[.,[[[.,[.,[.,[[.,.],.]]]],.],.]]=>[[],[[[],[],[],[[]]]]]=>[[[[[]],[],[],[]]],[]]=>[[.,[.,[[[[.,[.,.]],.],.],.]]],.]
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]=>[[],[[[],[],[[]],[]]]]=>[[[[],[[]],[],[]]],[]]=>[[.,[.,[[[[.,.],[.,.]],.],.]]],.]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[[],[[[],[],[[],[]]]]]=>[[[[[],[]],[],[]]],[]]=>[[.,[.,[[[.,[[.,.],.]],.],.]]],.]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]]=>[[],[[[],[],[[[]]]]]]=>[[[[[[]]],[],[]]],[]]=>[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]]=>[[],[[[],[[]],[],[]]]]=>[[[[],[],[[]],[]]],[]]=>[[.,[.,[[[[.,.],.],[.,.]],.]]],.]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>[[],[[[],[[]],[[]]]]]=>[[[[[]],[[]],[]]],[]]=>[[.,[.,[[[.,[.,.]],[.,.]],.]]],.]
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]=>[[],[[[],[[],[]],[]]]]=>[[[[],[[],[]],[]]],[]]=>[[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>[[],[[[],[[[]]],[]]]]=>[[[[],[[[]]],[]]],[]]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[[],[[[],[[],[],[]]]]]=>[[[[[],[],[]],[]]],[]]=>[[.,[.,[[.,[[[.,.],.],.]],.]]],.]
[.,[[[.,[[.,[[.,.],.]],.]],.],.]]=>[[],[[[],[[],[[]]]]]]=>[[[[[[]],[]],[]]],[]]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]]=>[[],[[[],[[[]],[]]]]]=>[[[[[],[[]]],[]]],[]]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]]=>[[],[[[],[[[],[]]]]]]=>[[[[[[],[]]],[]]],[]]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[[],[[[],[[[[]]]]]]]=>[[[[[[[]]]],[]]],[]]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[[],[[[[]],[],[],[]]]]=>[[[[],[],[],[[]]]],[]]=>[[.,[.,[[[[.,.],.],.],[.,.]]]],.]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>[[],[[[[]],[],[[]]]]]=>[[[[[]],[],[[]]]],[]]=>[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>[[],[[[[]],[[]],[]]]]=>[[[[],[[]],[[]]]],[]]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[[],[[[[]],[[],[]]]]]=>[[[[[],[]],[[]]]],[]]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[[],[[[[]],[[[]]]]]]=>[[[[[[]]],[[]]]],[]]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>[[],[[[[],[]],[],[]]]]=>[[[[],[],[[],[]]]],[]]=>[[.,[.,[[[.,.],.],[[.,.],.]]]],.]
[.,[[[[.,[.,.]],[[.,.],.]],.],.]]=>[[],[[[[],[]],[[]]]]]=>[[[[[]],[[],[]]]],[]]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[[],[[[[[]]],[],[]]]]=>[[[[],[],[[[]]]]],[]]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>[[],[[[[[]]],[[]]]]]=>[[[[[]],[[[]]]]],[]]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>[[],[[[[],[],[]],[]]]]=>[[[[],[[],[],[]]]],[]]=>[[.,[.,[[.,.],[[[.,.],.],.]]]],.]
[.,[[[[.,[[.,.],.]],[.,.]],.],.]]=>[[],[[[[],[[]]],[]]]]=>[[[[],[[[]],[]]]],[]]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>[[],[[[[[]],[]],[]]]]=>[[[[],[[],[[]]]]],[]]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[.,[[[[[.,[.,.]],.],[.,.]],.],.]]=>[[],[[[[[],[]]],[]]]]=>[[[[],[[[],[]]]]],[]]=>[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]
[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>[[],[[[[[[]]]],[]]]]=>[[[[],[[[[]]]]]],[]]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[[],[[[[],[],[],[]]]]]=>[[[[[],[],[],[]]]],[]]=>[[.,[.,[.,[[[[.,.],.],.],.]]]],.]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]]=>[[],[[[[],[],[[]]]]]]=>[[[[[[]],[],[]]]],[]]=>[[.,[.,[.,[[[.,[.,.]],.],.]]]],.]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>[[],[[[[],[[]],[]]]]]=>[[[[[],[[]],[]]]],[]]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[[],[[[[],[[],[]]]]]]=>[[[[[[],[]],[]]]],[]]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[[],[[[[],[[[]]]]]]]=>[[[[[[[]]],[]]]],[]]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[[],[[[[[]],[],[]]]]]=>[[[[[],[],[[]]]]],[]]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[[],[[[[[]],[[]]]]]]=>[[[[[[]],[[]]]]],[]]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>[[],[[[[[],[]],[]]]]]=>[[[[[],[[],[]]]]],[]]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[[],[[[[[[]]],[]]]]]=>[[[[[],[[[]]]]]],[]]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[[],[[[[[],[],[]]]]]]=>[[[[[[],[],[]]]]],[]]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[[],[[[[[],[[]]]]]]]=>[[[[[[[]],[]]]]],[]]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[.,[[[[[[.,.],[.,.]],.],.],.],.]]=>[[],[[[[[[]],[]]]]]]=>[[[[[[],[[]]]]]],[]]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[[],[[[[[[],[]]]]]]]=>[[[[[[[],[]]]]]],[]]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[.,[[[[[[[.,.],.],.],.],.],.],.]]=>[[],[[[[[[[]]]]]]]]=>[[[[[[[[]]]]]]],[]]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[[]],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[[]]]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[[[]],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[[]]]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[[[]],[],[],[],[[]],[]]=>[[],[[]],[],[],[],[[]]]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>[[[]],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[[]]]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[[[]],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[[]]]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[[]],[],[],[[]],[],[]]=>[[],[],[[]],[],[],[[]]]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[[[]],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[[]]]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[[[]],[],[],[[],[]],[]]=>[[],[[],[]],[],[],[[]]]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[[[]],[],[],[[[]]],[]]=>[[],[[[]]],[],[],[[]]]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[[[]],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[[]]]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[[[]],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[[]]]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[[[]],[],[],[[[]],[]]]=>[[[],[[]]],[],[],[[]]]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[[[]],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[[]]]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[[[]],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[[]]]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[[]],[],[[]],[],[],[]]=>[[],[],[],[[]],[],[[]]]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[[[]],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[[]]]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[[[]],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[[]]]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>[[[]],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[[]]]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[[[]],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[[]]]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>[[[]],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[[]]]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>[[[]],[],[[],[]],[[]]]=>[[[]],[[],[]],[],[[]]]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[[[]],[],[[[]]],[],[]]=>[[],[],[[[]]],[],[[]]]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[[[]],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[[]]]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>[[[]],[],[[],[],[]],[]]=>[[],[[],[],[]],[],[[]]]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>[[[]],[],[[],[[]]],[]]=>[[],[[[]],[]],[],[[]]]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>[[[]],[],[[[]],[]],[]]=>[[],[[],[[]]],[],[[]]]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>[[[]],[],[[[],[]]],[]]=>[[],[[[],[]]],[],[[]]]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]
[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>[[[]],[],[[[[]]]],[]]=>[[],[[[[]]]],[],[[]]]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>[[[]],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[[]]]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>[[[]],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[[]]]=>[[[.,[[[.,[.,.]],.],.]],.],[.,.]]
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>[[[]],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[[]]]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[[[]],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[[]]]=>[[[.,[[.,[[.,.],.]],.]],.],[.,.]]
[[.,.],[.,[[.,[[[.,.],.],.]],.]]]=>[[[]],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[[]]]=>[[[.,[[.,[.,[.,.]]],.]],.],[.,.]]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[[[]],[],[[[]],[],[]]]=>[[[],[],[[]]],[],[[]]]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[[[]],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[[]]]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>[[[]],[],[[[],[]],[]]]=>[[[],[[],[]]],[],[[]]]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]
[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>[[[]],[],[[[[]]],[]]]=>[[[],[[[]]]],[],[[]]]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>[[[]],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[[]]]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[[[]],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[[]]]=>[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]
[[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>[[[]],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[[]]]=>[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[[[]],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[[]]]=>[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]
[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[[[]],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[[]]]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[]],[[]],[],[],[],[]]=>[[],[],[],[],[[]],[[]]]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[[]],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[[]]]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[]],[[]],[],[[]],[]]=>[[],[[]],[],[[]],[[]]]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>[[[]],[[]],[],[[],[]]]=>[[[],[]],[],[[]],[[]]]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[[[]],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[[]]]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]=>[[],[],[[]],[[]],[[]]]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[[]],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[[]]]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[[[]],[[]],[[],[]],[]]=>[[],[[],[]],[[]],[[]]]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[[]],[[]],[[[]]],[]]=>[[],[[[]]],[[]],[[]]]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[[[]],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[[]]]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[[[]],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[[]]]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[[[]],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[[]]]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[[[]],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[[]]]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]
[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[[[]],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[[]]]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[]],[[],[]],[],[],[]]=>[[],[],[],[[],[]],[[]]]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[[[]],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[[]]]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[]],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[[]]]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[[[]],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[[]]]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[]],[[],[]],[[[]]]]=>[[[[]]],[[],[]],[[]]]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]=>[[],[],[],[[[]]],[[]]]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[[[]],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[[]]]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[[]]]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[[[]],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[[]]]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]
[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[[[]],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[[]]]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[]],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[[]]]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[[[]],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[[]]]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[[[]],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[[]]]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[[]],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[[]]]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[[]]]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[[]]]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[[[]],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[[]]]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[[[]],[[[],[]]],[[]]]=>[[[]],[[[],[]]],[[]]]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[[[]],[[[[]]]],[],[]]=>[[],[],[[[[]]]],[[]]]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[[[]],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[[]]]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[]],[[],[],[],[]],[]]=>[[],[[],[],[],[]],[[]]]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>[[[]],[[],[],[[]]],[]]=>[[],[[[]],[],[]],[[]]]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[[[]],[[],[[]],[]],[]]=>[[],[[],[[]],[]],[[]]]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>[[[]],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[[]]]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]
[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>[[[]],[[],[[[]]]],[]]=>[[],[[[[]]],[]],[[]]]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>[[[]],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[[]]]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[[[]],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[[]]]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[[[]],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[[]]]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[[[]],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[[]]]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[[[]],[[[],[],[]]],[]]=>[[],[[[],[],[]]],[[]]]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]
[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>[[[]],[[[],[[]]]],[]]=>[[],[[[[]],[]]],[[]]]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[[[]],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[[]]]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[[[]],[[[[],[]]]],[]]=>[[],[[[[],[]]]],[[]]]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[[[]],[[[[[]]]]],[]]=>[[],[[[[[]]]]],[[]]]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[[[]],[[],[],[],[],[]]]=>[[[],[],[],[],[]],[[]]]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>[[[]],[[],[],[],[[]]]]=>[[[[]],[],[],[]],[[]]]=>[[.,[[[[.,[.,.]],.],.],.]],[.,.]]
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>[[[]],[[],[],[[]],[]]]=>[[[],[[]],[],[]],[[]]]=>[[.,[[[[.,.],[.,.]],.],.]],[.,.]]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>[[[]],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[[]]]=>[[.,[[[.,[[.,.],.]],.],.]],[.,.]]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[[[]],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[[]]]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>[[[]],[[],[[]],[],[]]]=>[[[],[],[[]],[]],[[]]]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[[[]],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[[]]]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[[[]],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[[]]]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>[[[]],[[],[[[]]],[]]]=>[[[],[[[]]],[]],[[]]]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>[[[]],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[[]]]=>[[.,[[.,[[[.,.],.],.]],.]],[.,.]]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[[[]],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[[]]]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>[[[]],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[[]]]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[[[]],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[[]]]=>[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]
[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[[[]],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[[]]]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>[[[]],[[[]],[],[],[]]]=>[[[],[],[],[[]]],[[]]]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]
[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>[[[]],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[[]]]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[[[]],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[[]]]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>[[[]],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[[]]]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]
[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[[[]],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[[]]]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>[[[]],[[[],[]],[],[]]]=>[[[],[],[[],[]]],[[]]]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>[[[]],[[[],[]],[[]]]]=>[[[[]],[[],[]]],[[]]]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[[[]],[[[[]]],[],[]]]=>[[[],[],[[[]]]],[[]]]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[[[]],[[[[]]],[[]]]]=>[[[[]],[[[]]]],[[]]]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[[[]],[[[],[],[]],[]]]=>[[[],[[],[],[]]],[[]]]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]
[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>[[[]],[[[],[[]]],[]]]=>[[[],[[[]],[]]],[[]]]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[[[]],[[[[]],[]],[]]]=>[[[],[[],[[]]]],[[]]]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>[[[]],[[[[],[]]],[]]]=>[[[],[[[],[]]]],[[]]]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]
[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>[[[]],[[[[[]]]],[]]]=>[[[],[[[[]]]]],[[]]]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[[[]],[[[],[],[],[]]]]=>[[[[],[],[],[]]],[[]]]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]]
[[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>[[[]],[[[],[],[[]]]]]=>[[[[[]],[],[]]],[[]]]=>[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]
[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>[[[]],[[[],[[]],[]]]]=>[[[[],[[]],[]]],[[]]]=>[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[[[]],[[[],[[],[]]]]]=>[[[[[],[]],[]]],[[]]]=>[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]
[[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[[[]],[[[],[[[]]]]]]=>[[[[[[]]],[]]],[[]]]=>[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]
[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>[[[]],[[[[]],[],[]]]]=>[[[[],[],[[]]]],[[]]]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]
[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[[[]],[[[[]],[[]]]]]=>[[[[[]],[[]]]],[[]]]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[[[]],[[[[],[]],[]]]]=>[[[[],[[],[]]]],[[]]]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]
[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[[[]],[[[[[]]],[]]]]=>[[[[],[[[]]]]],[[]]]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[[[]],[[[[],[],[]]]]]=>[[[[[],[],[]]]],[[]]]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[[[]],[[[[],[[]]]]]]=>[[[[[[]],[]]]],[[]]]=>[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]
[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[[[]],[[[[[]],[]]]]]=>[[[[[],[[]]]]],[[]]]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[[[]],[[[[[],[]]]]]]=>[[[[[[],[]]]]],[[]]]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]
[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[[[]],[[[[[[]]]]]]]=>[[[[[[[]]]]]],[[]]]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[[[],[]],[],[],[],[],[]]=>[[],[],[],[],[],[[],[]]]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[[[],[]],[],[],[],[[]]]=>[[[]],[],[],[],[[],[]]]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[[[],[]],[],[],[[]],[]]=>[[],[[]],[],[],[[],[]]]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[[[],[]],[],[],[[],[]]]=>[[[],[]],[],[],[[],[]]]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[[[],[]],[],[],[[[]]]]=>[[[[]]],[],[],[[],[]]]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[],[[]],[],[]]=>[[],[],[[]],[],[[],[]]]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[],[[]],[[]]]=>[[[]],[[]],[],[[],[]]]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[],[[],[]],[]]=>[[],[[],[]],[],[[],[]]]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[],[[[]]],[]]=>[[],[[[]]],[],[[],[]]]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[[[],[]],[],[[],[],[]]]=>[[[],[],[]],[],[[],[]]]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[[[],[]],[],[[],[[]]]]=>[[[[]],[]],[],[[],[]]]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[[[],[]],[],[[[]],[]]]=>[[[],[[]]],[],[[],[]]]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[[[],[]],[],[[[],[]]]]=>[[[[],[]]],[],[[],[]]]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[],[]],[],[[[[]]]]]=>[[[[[]]]],[],[[],[]]]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[]],[],[],[]]=>[[],[],[],[[]],[[],[]]]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]=>[[[]],[],[[]],[[],[]]]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[]],[[]],[]]=>[[],[[]],[[]],[[],[]]]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[]],[[],[]]]=>[[[],[]],[[]],[[],[]]]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[]],[[[]]]]=>[[[[]]],[[]],[[],[]]]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[],[]],[],[]]=>[[],[],[[],[]],[[],[]]]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[],[]],[[]]]=>[[[]],[[],[]],[[],[]]]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[]]],[],[]]=>[[],[],[[[]]],[[],[]]]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]=>[[[]],[[[]]],[[],[]]]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[],[],[]],[]]=>[[],[[],[],[]],[[],[]]]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[],[[]]],[]]=>[[],[[[]],[]],[[],[]]]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[]]]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[],[]]],[]]=>[[],[[[],[]]],[[],[]]]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[]]]],[]]=>[[],[[[[]]]],[[],[]]]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>[[[],[]],[[],[],[],[]]]=>[[[],[],[],[]],[[],[]]]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[[[],[]],[[],[],[[]]]]=>[[[[]],[],[]],[[],[]]]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[[[],[]],[[],[[]],[]]]=>[[[],[[]],[]],[[],[]]]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[[[],[]],[[],[[],[]]]]=>[[[[],[]],[]],[[],[]]]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[[[],[]],[[],[[[]]]]]=>[[[[[]]],[]],[[],[]]]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[[[],[]],[[[]],[],[]]]=>[[[],[],[[]]],[[],[]]]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[],[]],[[[]],[[]]]]=>[[[[]],[[]]],[[],[]]]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[],[]],[[[],[]],[]]]=>[[[],[[],[]]],[[],[]]]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>[[[],[]],[[[[]]],[]]]=>[[[],[[[]]]],[[],[]]]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>[[[],[]],[[[],[],[]]]]=>[[[[],[],[]]],[[],[]]]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[[[],[]],[[[],[[]]]]]=>[[[[[]],[]]],[[],[]]]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]
[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>[[[],[]],[[[[]],[]]]]=>[[[[],[[]]]],[[],[]]]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[[[],[]],[[[[],[]]]]]=>[[[[[],[]]]],[[],[]]]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]
[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[[[],[]],[[[[[]]]]]]=>[[[[[[]]]]],[[],[]]]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]=>[[],[],[],[],[],[[[]]]]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[[[[]]],[],[],[],[[]]]=>[[[]],[],[],[],[[[]]]]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[[[]]],[],[],[[]],[]]=>[[],[[]],[],[],[[[]]]]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>[[[[]]],[],[],[[],[]]]=>[[[],[]],[],[],[[[]]]]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[[[[]]],[],[],[[[]]]]=>[[[[]]],[],[],[[[]]]]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]=>[[],[],[[]],[],[[[]]]]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[[[[]]],[],[[]],[[]]]=>[[[]],[[]],[],[[[]]]]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[[[[]]],[],[[],[]],[]]=>[[],[[],[]],[],[[[]]]]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[]]],[],[[[]]],[]]=>[[],[[[]]],[],[[[]]]]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[[[[]]],[],[[],[],[]]]=>[[[],[],[]],[],[[[]]]]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>[[[[]]],[],[[],[[]]]]=>[[[[]],[]],[],[[[]]]]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[[[[]]],[],[[[]],[]]]=>[[[],[[]]],[],[[[]]]]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[[[[]]],[],[[[],[]]]]=>[[[[],[]]],[],[[[]]]]=>[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]
[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[[[[]]],[],[[[[]]]]]=>[[[[[]]]],[],[[[]]]]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]=>[[],[],[],[[]],[[[]]]]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]=>[[[]],[],[[]],[[[]]]]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]=>[[],[[]],[[]],[[[]]]]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>[[[[]]],[[]],[[],[]]]=>[[[],[]],[[]],[[[]]]]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]=>[[[[]]],[[]],[[[]]]]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]=>[[],[],[[],[]],[[[]]]]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]=>[[[]],[[],[]],[[[]]]]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]=>[[],[],[[[]]],[[[]]]]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]=>[[[]],[[[]]],[[[]]]]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[[[[]]],[[],[],[]],[]]=>[[],[[],[],[]],[[[]]]]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[[[[]]],[[],[[]]],[]]=>[[],[[[]],[]],[[[]]]]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]=>[[],[[],[[]]],[[[]]]]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[[[[]]],[[[],[]]],[]]=>[[],[[[],[]]],[[[]]]]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]
[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[[[]]],[[[[]]]],[]]=>[[],[[[[]]]],[[[]]]]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[[[[]]],[[],[],[],[]]]=>[[[],[],[],[]],[[[]]]]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>[[[[]]],[[],[],[[]]]]=>[[[[]],[],[]],[[[]]]]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[[[[]]],[[],[[]],[]]]=>[[[],[[]],[]],[[[]]]]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>[[[[]]],[[],[[],[]]]]=>[[[[],[]],[]],[[[]]]]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]
[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[[[[]]],[[],[[[]]]]]=>[[[[[]]],[]],[[[]]]]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[[[[]]],[[[]],[],[]]]=>[[[],[],[[]]],[[[]]]]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[[[[]]],[[[]],[[]]]]=>[[[[]],[[]]],[[[]]]]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[[[[]]],[[[],[]],[]]]=>[[[],[[],[]]],[[[]]]]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]
[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>[[[[]]],[[[[]]],[]]]=>[[[],[[[]]]],[[[]]]]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[[[[]]],[[[],[],[]]]]=>[[[[],[],[]]],[[[]]]]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]
[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[[[[]]],[[[],[[]]]]]=>[[[[[]],[]]],[[[]]]]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]
[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>[[[[]]],[[[[]],[]]]]=>[[[[],[[]]]],[[[]]]]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]
[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[[[[]]],[[[[],[]]]]]=>[[[[[],[]]]],[[[]]]]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[[[]]],[[[[[]]]]]]=>[[[[[[]]]]],[[[]]]]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[[[],[],[]],[],[],[],[]]=>[[],[],[],[],[[],[],[]]]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[[[],[],[]],[],[],[[]]]=>[[[]],[],[],[[],[],[]]]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[[[],[],[]],[],[[]],[]]=>[[],[[]],[],[[],[],[]]]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[[[],[],[]],[],[[],[]]]=>[[[],[]],[],[[],[],[]]]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[],[]],[],[[[]]]]=>[[[[]]],[],[[],[],[]]]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[],[]],[[]],[],[]]=>[[],[],[[]],[[],[],[]]]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[],[]],[[]],[[]]]=>[[[]],[[]],[[],[],[]]]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[],[]],[[],[]],[]]=>[[],[[],[]],[[],[],[]]]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[],[]],[[[]]],[]]=>[[],[[[]]],[[],[],[]]]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[[[],[],[]],[[],[],[]]]=>[[[],[],[]],[[],[],[]]]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[[[],[],[]],[[],[[]]]]=>[[[[]],[]],[[],[],[]]]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[[[],[],[]],[[[]],[]]]=>[[[],[[]]],[[],[],[]]]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[[[],[],[]],[[[],[]]]]=>[[[[],[]]],[[],[],[]]]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[],[],[]],[[[[]]]]]=>[[[[[]]]],[[],[],[]]]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[[[],[[]]],[],[],[],[]]=>[[],[],[],[],[[[]],[]]]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[[[],[[]]],[],[],[[]]]=>[[[]],[],[],[[[]],[]]]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[[[],[[]]],[],[[]],[]]=>[[],[[]],[],[[[]],[]]]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[[[],[[]]],[],[[],[]]]=>[[[],[]],[],[[[]],[]]]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[[[],[[]]],[],[[[]]]]=>[[[[]]],[],[[[]],[]]]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[],[[]]],[[]],[],[]]=>[[],[],[[]],[[[]],[]]]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[[]]],[[]],[[]]]=>[[[]],[[]],[[[]],[]]]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[[[],[[]]],[[],[]],[]]=>[[],[[],[]],[[[]],[]]]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[[[],[[]]],[[[]]],[]]=>[[],[[[]]],[[[]],[]]]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[[[],[[]]],[[],[],[]]]=>[[[],[],[]],[[[]],[]]]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[[[],[[]]],[[],[[]]]]=>[[[[]],[]],[[[]],[]]]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[[[],[[]]],[[[]],[]]]=>[[[],[[]]],[[[]],[]]]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>[[[],[[]]],[[[],[]]]]=>[[[[],[]]],[[[]],[]]]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[[[],[[]]],[[[[]]]]]=>[[[[[]]]],[[[]],[]]]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]=>[[],[],[],[],[[],[[]]]]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[]],[]],[],[],[[]]]=>[[[]],[],[],[[],[[]]]]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[]]]]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>[[[[]],[]],[],[[],[]]]=>[[[],[]],[],[[],[[]]]]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[[[]],[]],[],[[[]]]]=>[[[[]]],[],[[],[[]]]]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]=>[[],[],[[]],[[],[[]]]]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]=>[[[]],[[]],[[],[[]]]]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[]],[]],[[],[]],[]]=>[[],[[],[]],[[],[[]]]]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[]],[]],[[[]]],[]]=>[[],[[[]]],[[],[[]]]]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[[[[]],[]],[[],[],[]]]=>[[[],[],[]],[[],[[]]]]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[[[[]],[]],[[],[[]]]]=>[[[[]],[]],[[],[[]]]]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[[[[]],[]],[[[]],[]]]=>[[[],[[]]],[[],[[]]]]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[[[[]],[]],[[[],[]]]]=>[[[[],[]]],[[],[[]]]]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[[[[]],[]],[[[[]]]]]=>[[[[[]]]],[[],[[]]]]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[[[[],[]]],[],[],[],[]]=>[[],[],[],[],[[[],[]]]]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[[[[],[]]],[],[],[[]]]=>[[[]],[],[],[[[],[]]]]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[[[[],[]]],[],[[]],[]]=>[[],[[]],[],[[[],[]]]]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[[[[],[]]],[],[[],[]]]=>[[[],[]],[],[[[],[]]]]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[[[[],[]]],[],[[[]]]]=>[[[[]]],[],[[[],[]]]]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]=>[[],[],[[]],[[[],[]]]]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]=>[[[]],[[]],[[[],[]]]]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[[],[]]],[[],[]],[]]=>[[],[[],[]],[[[],[]]]]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[]]],[[[]]],[]]=>[[],[[[]]],[[[],[]]]]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[[[[],[]]],[[],[],[]]]=>[[[],[],[]],[[[],[]]]]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[[[[],[]]],[[],[[]]]]=>[[[[]],[]],[[[],[]]]]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[[[[],[]]],[[[]],[]]]=>[[[],[[]]],[[[],[]]]]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[[[[],[]]],[[[],[]]]]=>[[[[],[]]],[[[],[]]]]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[[],[]]],[[[[]]]]]=>[[[[[]]]],[[[],[]]]]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]=>[[],[],[],[],[[[[]]]]]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[[[[]]]],[],[],[[]]]=>[[[]],[],[],[[[[]]]]]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]=>[[],[[]],[],[[[[]]]]]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[[[[[]]]],[],[[],[]]]=>[[[],[]],[],[[[[]]]]]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]
[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[[[[[]]]],[],[[[]]]]=>[[[[]]],[],[[[[]]]]]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]=>[[],[],[[]],[[[[]]]]]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]=>[[[]],[[]],[[[[]]]]]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]=>[[],[[],[]],[[[[]]]]]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]=>[[],[[[]]],[[[[]]]]]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[[[[[]]]],[[],[],[]]]=>[[[],[],[]],[[[[]]]]]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[[[[[]]]],[[],[[]]]]=>[[[[]],[]],[[[[]]]]]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[[[[[]]]],[[[]],[]]]=>[[[],[[]]],[[[[]]]]]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[[[[[]]]],[[[],[]]]]=>[[[[],[]]],[[[[]]]]]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[[[[[]]]],[[[[]]]]]=>[[[[[]]]],[[[[]]]]]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[[[],[],[],[]],[],[],[]]=>[[],[],[],[[],[],[],[]]]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[[[],[],[],[]],[],[[]]]=>[[[]],[],[[],[],[],[]]]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[],[],[],[]],[[]],[]]=>[[],[[]],[[],[],[],[]]]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[[[],[],[],[]],[[],[]]]=>[[[],[]],[[],[],[],[]]]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[[[],[],[],[]],[[[]]]]=>[[[[]]],[[],[],[],[]]]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[[[],[],[[]]],[],[],[]]=>[[],[],[],[[[]],[],[]]]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[[[],[],[[]]],[],[[]]]=>[[[]],[],[[[]],[],[]]]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[[[],[],[[]]],[[]],[]]=>[[],[[]],[[[]],[],[]]]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>[[[],[],[[]]],[[],[]]]=>[[[],[]],[[[]],[],[]]]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[[[],[],[[]]],[[[]]]]=>[[[[]]],[[[]],[],[]]]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[[[],[[]],[]],[],[],[]]=>[[],[],[],[[],[[]],[]]]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[[[],[[]],[]],[],[[]]]=>[[[]],[],[[],[[]],[]]]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[]]]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[[[],[[]],[]],[[],[]]]=>[[[],[]],[[],[[]],[]]]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[[[],[[]],[]],[[[]]]]=>[[[[]]],[[],[[]],[]]]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[[[],[[],[]]],[],[],[]]=>[[],[],[],[[[],[]],[]]]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>[[[],[[],[]]],[],[[]]]=>[[[]],[],[[[],[]],[]]]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[[[],[[],[]]],[[]],[]]=>[[],[[]],[[[],[]],[]]]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[[[],[[],[]]],[[],[]]]=>[[[],[]],[[[],[]],[]]]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[[[],[[],[]]],[[[]]]]=>[[[[]]],[[[],[]],[]]]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[[[],[[[]]]],[],[],[]]=>[[],[],[],[[[[]]],[]]]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[[[],[[[]]]],[],[[]]]=>[[[]],[],[[[[]]],[]]]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[[[],[[[]]]],[[]],[]]=>[[],[[]],[[[[]]],[]]]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[[[],[[[]]]],[[],[]]]=>[[[],[]],[[[[]]],[]]]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[[[],[[[]]]],[[[]]]]=>[[[[]]],[[[[]]],[]]]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]=>[[],[],[],[[],[],[[]]]]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[[[[]],[],[]],[],[[]]]=>[[[]],[],[[],[],[[]]]]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]=>[[],[[]],[[],[],[[]]]]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[[[[]],[],[]],[[],[]]]=>[[[],[]],[[],[],[[]]]]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[]],[],[]],[[[]]]]=>[[[[]]],[[],[],[[]]]]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]=>[[],[],[],[[[]],[[]]]]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[[[[]],[[]]],[],[[]]]=>[[[]],[],[[[]],[[]]]]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[]],[[]]],[[]],[]]=>[[],[[]],[[[]],[[]]]]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[[[[]],[[]]],[[],[]]]=>[[[],[]],[[[]],[[]]]]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]=>[[[[]]],[[[]],[[]]]]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]=>[[],[],[],[[],[[],[]]]]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[[[[],[]],[]],[],[[]]]=>[[[]],[],[[],[[],[]]]]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[]],[[],[]]]=>[[[],[]],[[],[[],[]]]]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]=>[[[[]]],[[],[[],[]]]]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]=>[[],[],[],[[],[[[]]]]]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[]]],[]],[],[[]]]=>[[[]],[],[[],[[[]]]]]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]=>[[],[[]],[[],[[[]]]]]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[[[[]]],[]],[[],[]]]=>[[[],[]],[[],[[[]]]]]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]=>[[[[]]],[[],[[[]]]]]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[[[[],[],[]]],[],[],[]]=>[[],[],[],[[[],[],[]]]]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[[[[],[],[]]],[],[[]]]=>[[[]],[],[[[],[],[]]]]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[],[],[]]],[[]],[]]=>[[],[[]],[[[],[],[]]]]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[[[[],[],[]]],[[],[]]]=>[[[],[]],[[[],[],[]]]]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[[[[],[],[]]],[[[]]]]=>[[[[]]],[[[],[],[]]]]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[[[[],[[]]]],[],[],[]]=>[[],[],[],[[[[]],[]]]]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[[[[],[[]]]],[],[[]]]=>[[[]],[],[[[[]],[]]]]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]
[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>[[[[],[[]]]],[[]],[]]=>[[],[[]],[[[[]],[]]]]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[[[[],[[]]]],[[],[]]]=>[[[],[]],[[[[]],[]]]]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[[[[],[[]]]],[[[]]]]=>[[[[]]],[[[[]],[]]]]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]=>[[],[],[],[[[],[[]]]]]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[[[[[]],[]]],[],[[]]]=>[[[]],[],[[[],[[]]]]]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]=>[[],[[]],[[[],[[]]]]]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[[[[[]],[]]],[[],[]]]=>[[[],[]],[[[],[[]]]]]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]=>[[[[]]],[[[],[[]]]]]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[[[],[]]]],[],[],[]]=>[[],[],[],[[[[],[]]]]]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[[[[[],[]]]],[],[[]]]=>[[[]],[],[[[[],[]]]]]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[[[],[]]]],[[]],[]]=>[[],[[]],[[[[],[]]]]]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[[[[[],[]]]],[[],[]]]=>[[[],[]],[[[[],[]]]]]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[[[[[],[]]]],[[[]]]]=>[[[[]]],[[[[],[]]]]]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]=>[[],[],[],[[[[[]]]]]]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[[[[[[]]]]],[],[[]]]=>[[[]],[],[[[[[]]]]]]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]=>[[],[[]],[[[[[]]]]]]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[[[[[[]]]]],[[],[]]]=>[[[],[]],[[[[[]]]]]]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[[[[[[]]]]],[[[]]]]=>[[[[]]],[[[[[]]]]]]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[[[],[],[],[],[]],[],[]]=>[[],[],[[],[],[],[],[]]]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[[[],[],[],[],[]],[[]]]=>[[[]],[[],[],[],[],[]]]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[[[],[],[],[[]]],[],[]]=>[[],[],[[[]],[],[],[]]]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>[[[],[],[],[[]]],[[]]]=>[[[]],[[[]],[],[],[]]]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[[[],[],[[]],[]],[],[]]=>[[],[],[[],[[]],[],[]]]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[[[],[],[[]],[]],[[]]]=>[[[]],[[],[[]],[],[]]]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[[[],[],[[],[]]],[],[]]=>[[],[],[[[],[]],[],[]]]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>[[[],[],[[],[]]],[[]]]=>[[[]],[[[],[]],[],[]]]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[[[],[],[[[]]]],[],[]]=>[[],[],[[[[]]],[],[]]]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[[[],[],[[[]]]],[[]]]=>[[[]],[[[[]]],[],[]]]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[[[],[[]],[],[]],[],[]]=>[[],[],[[],[],[[]],[]]]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>[[[],[[]],[],[]],[[]]]=>[[[]],[[],[],[[]],[]]]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[[[],[[]],[[]]],[],[]]=>[[],[],[[[]],[[]],[]]]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[[],[[]],[[]]],[[]]]=>[[[]],[[[]],[[]],[]]]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[[[],[[],[]],[]],[],[]]=>[[],[],[[],[[],[]],[]]]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[[[],[[],[]],[]],[[]]]=>[[[]],[[],[[],[]],[]]]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[[[],[[[]]],[]],[],[]]=>[[],[],[[],[[[]]],[]]]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[[[],[[[]]],[]],[[]]]=>[[[]],[[],[[[]]],[]]]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[[[],[[],[],[]]],[],[]]=>[[],[],[[[],[],[]],[]]]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[[[],[[],[],[]]],[[]]]=>[[[]],[[[],[],[]],[]]]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[[[],[[],[[]]]],[],[]]=>[[],[],[[[[]],[]],[]]]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[[[],[[],[[]]]],[[]]]=>[[[]],[[[[]],[]],[]]]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[[[],[[[]],[]]],[],[]]=>[[],[],[[[],[[]]],[]]]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>[[[],[[[]],[]]],[[]]]=>[[[]],[[[],[[]]],[]]]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>[[[],[[[],[]]]],[],[]]=>[[],[],[[[[],[]]],[]]]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]
[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>[[[],[[[],[]]]],[[]]]=>[[[]],[[[[],[]]],[]]]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[[[],[[[[]]]]],[],[]]=>[[],[],[[[[[]]]],[]]]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]
[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[[[],[[[[]]]]],[[]]]=>[[[]],[[[[[]]]],[]]]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]=>[[],[],[[],[],[],[[]]]]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[[[[]],[],[],[]],[[]]]=>[[[]],[[],[],[],[[]]]]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[[[[]],[],[[]]],[],[]]=>[[],[],[[[]],[],[[]]]]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[[[[]],[],[[]]],[[]]]=>[[[]],[[[]],[],[[]]]]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]=>[[],[],[[],[[]],[[]]]]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[[[]],[[]],[]],[[]]]=>[[[]],[[],[[]],[[]]]]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[[[[]],[[],[]]],[],[]]=>[[],[],[[[],[]],[[]]]]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[[[[]],[[],[]]],[[]]]=>[[[]],[[[],[]],[[]]]]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[[[[]],[[[]]]],[],[]]=>[[],[],[[[[]]],[[]]]]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[[[[]],[[[]]]],[[]]]=>[[[]],[[[[]]],[[]]]]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]=>[[],[],[[],[],[[],[]]]]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]=>[[[]],[[],[],[[],[]]]]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]=>[[],[],[[[]],[[],[]]]]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[[],[]],[[]]],[[]]]=>[[[]],[[[]],[[],[]]]]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]=>[[],[],[[],[],[[[]]]]]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[]]],[],[]],[[]]]=>[[[]],[[],[],[[[]]]]]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]=>[[],[],[[[]],[[[]]]]]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[[[[]]],[[]]],[[]]]=>[[[]],[[[]],[[[]]]]]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]=>[[],[],[[],[[],[],[]]]]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[],[]],[]],[[]]]=>[[[]],[[],[[],[],[]]]]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[[[[],[[]]],[]],[],[]]=>[[],[],[[],[[[]],[]]]]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[[[[],[[]]],[]],[[]]]=>[[[]],[[],[[[]],[]]]]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]=>[[],[],[[],[[],[[]]]]]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[[[[]],[]],[]],[[]]]=>[[[]],[[],[[],[[]]]]]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]=>[[],[],[[],[[[],[]]]]]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[[[],[]]],[]],[[]]]=>[[[]],[[],[[[],[]]]]]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]=>[[],[],[[],[[[[]]]]]]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[[[[[[]]]],[]],[[]]]=>[[[]],[[],[[[[]]]]]]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[[[[],[],[],[]]],[],[]]=>[[],[],[[[],[],[],[]]]]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[[[[],[],[],[]]],[[]]]=>[[[]],[[[],[],[],[]]]]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>[[[[],[],[[]]]],[],[]]=>[[],[],[[[[]],[],[]]]]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[[[[],[],[[]]]],[[]]]=>[[[]],[[[[]],[],[]]]]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>[[[[],[[]],[]]],[],[]]=>[[],[],[[[],[[]],[]]]]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[[[[],[[]],[]]],[[]]]=>[[[]],[[[],[[]],[]]]]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[[[[],[[],[]]]],[],[]]=>[[],[],[[[[],[]],[]]]]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[[[[],[[],[]]]],[[]]]=>[[[]],[[[[],[]],[]]]]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[[[[],[[[]]]]],[],[]]=>[[],[],[[[[[]]],[]]]]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]
[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[[[[],[[[]]]]],[[]]]=>[[[]],[[[[[]]],[]]]]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]=>[[],[],[[[],[],[[]]]]]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[[[[[]],[],[]]],[[]]]=>[[[]],[[[],[],[[]]]]]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[[[[[]],[[]]]],[],[]]=>[[],[],[[[[]],[[]]]]]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[[[[[]],[[]]]],[[]]]=>[[[]],[[[[]],[[]]]]]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[[[[[],[]],[]]],[],[]]=>[[],[],[[[],[[],[]]]]]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[[[],[]],[]]],[[]]]=>[[[]],[[[],[[],[]]]]]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]=>[[],[],[[[],[[[]]]]]]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[[[[[[]]],[]]],[[]]]=>[[[]],[[[],[[[]]]]]]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[[[[[],[],[]]]],[],[]]=>[[],[],[[[[],[],[]]]]]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[[[[[],[],[]]]],[[]]]=>[[[]],[[[[],[],[]]]]]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>[[[[[],[[]]]]],[],[]]=>[[],[],[[[[[]],[]]]]]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]
[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[[[[[],[[]]]]],[[]]]=>[[[]],[[[[[]],[]]]]]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]=>[[],[],[[[[],[[]]]]]]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[[[[[[]],[]]]],[[]]]=>[[[]],[[[[],[[]]]]]]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[[[[[[],[]]]]],[],[]]=>[[],[],[[[[[],[]]]]]]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[[[[[[],[]]]]],[[]]]=>[[[]],[[[[[],[]]]]]]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]=>[[],[],[[[[[[]]]]]]]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[[[[[[[]]]]]],[[]]]=>[[[]],[[[[[[]]]]]]]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[[[],[],[],[],[],[]],[]]=>[[],[[],[],[],[],[],[]]]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[[[],[],[],[],[[]]],[]]=>[[],[[[]],[],[],[],[]]]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>[[[],[],[],[[]],[]],[]]=>[[],[[],[[]],[],[],[]]]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>[[[],[],[],[[],[]]],[]]=>[[],[[[],[]],[],[],[]]]=>[[.,.],[[[[.,[[.,.],.]],.],.],.]]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[[[],[],[],[[[]]]],[]]=>[[],[[[[]]],[],[],[]]]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[[[],[],[[]],[],[]],[]]=>[[],[[],[],[[]],[],[]]]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[[[],[],[[]],[[]]],[]]=>[[],[[[]],[[]],[],[]]]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[[[],[],[[],[]],[]],[]]=>[[],[[],[[],[]],[],[]]]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>[[[],[],[[[]]],[]],[]]=>[[],[[],[[[]]],[],[]]]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[[[],[],[[],[],[]]],[]]=>[[],[[[],[],[]],[],[]]]=>[[.,.],[[[.,[[[.,.],.],.]],.],.]]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[[[],[],[[],[[]]]],[]]=>[[],[[[[]],[]],[],[]]]=>[[.,.],[[[.,[[.,[.,.]],.]],.],.]]
[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>[[[],[],[[[]],[]]],[]]=>[[],[[[],[[]]],[],[]]]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>[[[],[],[[[],[]]]],[]]=>[[],[[[[],[]]],[],[]]]=>[[.,.],[[[.,[.,[[.,.],.]]],.],.]]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[[[],[],[[[[]]]]],[]]=>[[],[[[[[]]]],[],[]]]=>[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[[[],[[]],[],[],[]],[]]=>[[],[[],[],[],[[]],[]]]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[[[],[[]],[],[[]]],[]]=>[[],[[[]],[],[[]],[]]]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[[[],[[]],[[]],[]],[]]=>[[],[[],[[]],[[]],[]]]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>[[[],[[]],[[],[]]],[]]=>[[],[[[],[]],[[]],[]]]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]
[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>[[[],[[]],[[[]]]],[]]=>[[],[[[[]]],[[]],[]]]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[[[],[[],[]],[],[]],[]]=>[[],[[],[],[[],[]],[]]]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[],[]],[[]]],[]]=>[[],[[[]],[[],[]],[]]]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[[[],[[[]]],[],[]],[]]=>[[],[[],[],[[[]]],[]]]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[[[],[[[]]],[[]]],[]]=>[[],[[[]],[[[]]],[]]]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[[[],[[],[],[]],[]],[]]=>[[],[[],[[],[],[]],[]]]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>[[[],[[],[[]]],[]],[]]=>[[],[[],[[[]],[]],[]]]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[[]],[]],[]],[]]=>[[],[[],[[],[[]]],[]]]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[[[],[[[],[]]],[]],[]]=>[[],[[],[[[],[]]],[]]]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]
[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>[[[],[[[[]]]],[]],[]]=>[[],[[],[[[[]]]],[]]]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[[[],[[],[],[],[]]],[]]=>[[],[[[],[],[],[]],[]]]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[[[],[[],[],[[]]]],[]]=>[[],[[[[]],[],[]],[]]]=>[[.,.],[[.,[[[.,[.,.]],.],.]],.]]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>[[[],[[],[[]],[]]],[]]=>[[],[[[],[[]],[]],[]]]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[[[],[[],[[],[]]]],[]]=>[[],[[[[],[]],[]],[]]]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>[[[],[[],[[[]]]]],[]]=>[[],[[[[[]]],[]],[]]]=>[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>[[[],[[[]],[],[]]],[]]=>[[],[[[],[],[[]]],[]]]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>[[[],[[[]],[[]]]],[]]=>[[],[[[[]],[[]]],[]]]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[[[],[[[],[]],[]]],[]]=>[[],[[[],[[],[]]],[]]]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]
[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>[[[],[[[[]]],[]]],[]]=>[[],[[[],[[[]]]],[]]]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>[[[],[[[],[],[]]]],[]]=>[[],[[[[],[],[]]],[]]]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>[[[],[[[],[[]]]]],[]]=>[[],[[[[[]],[]]],[]]]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>[[[],[[[[]],[]]]],[]]=>[[],[[[[],[[]]]],[]]]=>[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]
[[.,[[[[.,[.,.]],.],.],.]],[.,.]]=>[[[],[[[[],[]]]]],[]]=>[[],[[[[[],[]]]],[]]]=>[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]
[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[[[],[[[[[]]]]]],[]]=>[[],[[[[[[]]]]],[]]]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[[[[]],[],[],[],[]],[]]=>[[],[[],[],[],[],[[]]]]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>[[[[]],[],[],[[]]],[]]=>[[],[[[]],[],[],[[]]]]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[[[[]],[],[[]],[]],[]]=>[[],[[],[[]],[],[[]]]]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>[[[[]],[],[[],[]]],[]]=>[[],[[[],[]],[],[[]]]]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>[[[[]],[],[[[]]]],[]]=>[[],[[[[]]],[],[[]]]]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[]],[[]],[],[]],[]]=>[[],[[],[],[[]],[[]]]]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[[[[]],[[]],[[]]],[]]=>[[],[[[]],[[]],[[]]]]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[[[[]],[[],[]],[]],[]]=>[[],[[],[[],[]],[[]]]]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[]],[[[]]],[]],[]]=>[[],[[],[[[]]],[[]]]]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>[[[[]],[[],[],[]]],[]]=>[[],[[[],[],[]],[[]]]]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[[[[]],[[],[[]]]],[]]=>[[],[[[[]],[]],[[]]]]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]
[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>[[[[]],[[[]],[]]],[]]=>[[],[[[],[[]]],[[]]]]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>[[[[]],[[[],[]]]],[]]=>[[],[[[[],[]]],[[]]]]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[[[[]],[[[[]]]]],[]]=>[[],[[[[[]]]],[[]]]]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[],[],[]],[]]=>[[],[[],[],[],[[],[]]]]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[],[[]]],[]]=>[[],[[[]],[],[[],[]]]]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[]],[]],[]]=>[[],[[],[[]],[[],[]]]]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[],[]]],[]]=>[[],[[[],[]],[[],[]]]]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[]]]],[]]=>[[],[[[[]]],[[],[]]]]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]=>[[],[[],[],[],[[[]]]]]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[[[[[]]],[],[[]]],[]]=>[[],[[[]],[],[[[]]]]]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]=>[[],[[],[[]],[[[]]]]]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[[[[[]]],[[],[]]],[]]=>[[],[[[],[]],[[[]]]]]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[[[[[]]],[[[]]]],[]]=>[[],[[[[]]],[[[]]]]]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[[[[],[],[]],[],[]],[]]=>[[],[[],[],[[],[],[]]]]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[],[]],[[]]],[]]=>[[],[[[]],[[],[],[]]]]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[[[[],[[]]],[],[]],[]]=>[[],[[],[],[[[]],[]]]]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[[[[],[[]]],[[]]],[]]=>[[],[[[]],[[[]],[]]]]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]=>[[],[[],[],[[],[[]]]]]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]=>[[],[[[]],[[],[[]]]]]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[[[[[],[]]],[],[]],[]]=>[[],[[],[],[[[],[]]]]]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[[[],[]]],[[]]],[]]=>[[],[[[]],[[[],[]]]]]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]=>[[],[[],[],[[[[]]]]]]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]=>[[],[[[]],[[[[]]]]]]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[],[],[],[]],[]],[]]=>[[],[[],[[],[],[],[]]]]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[[[[],[],[[]]],[]],[]]=>[[],[[],[[[]],[],[]]]]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[[[[],[[]],[]],[]],[]]=>[[],[[],[[],[[]],[]]]]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[[[[],[[],[]]],[]],[]]=>[[],[[],[[[],[]],[]]]]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[[[[],[[[]]]],[]],[]]=>[[],[[],[[[[]]],[]]]]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]=>[[],[[],[[],[],[[]]]]]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]=>[[],[[],[[[]],[[]]]]]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]=>[[],[[],[[],[[],[]]]]]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]=>[[],[[],[[],[[[]]]]]]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[[[[[],[],[]]],[]],[]]=>[[],[[],[[[],[],[]]]]]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[[[[[],[[]]]],[]],[]]=>[[],[[],[[[[]],[]]]]]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]=>[[],[[],[[[],[[]]]]]]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]=>[[],[[],[[[[],[]]]]]]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]=>[[],[[],[[[[[]]]]]]]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[[[[],[],[],[],[]]],[]]=>[[],[[[],[],[],[],[]]]]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[[[[],[],[],[[]]]],[]]=>[[],[[[[]],[],[],[]]]]=>[[.,.],[.,[[[[.,[.,.]],.],.],.]]]
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>[[[[],[],[[]],[]]],[]]=>[[],[[[],[[]],[],[]]]]=>[[.,.],[.,[[[[.,.],[.,.]],.],.]]]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>[[[[],[],[[],[]]]],[]]=>[[],[[[[],[]],[],[]]]]=>[[.,.],[.,[[[.,[[.,.],.]],.],.]]]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[[[[],[],[[[]]]]],[]]=>[[],[[[[[]]],[],[]]]]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>[[[[],[[]],[],[]]],[]]=>[[],[[[],[],[[]],[]]]]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[[[[],[[]],[[]]]],[]]=>[[],[[[[]],[[]],[]]]]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[[[[],[[],[]],[]]],[]]=>[[],[[[],[[],[]],[]]]]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[[[[],[[[]]],[]]],[]]=>[[],[[[],[[[]]],[]]]]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]
[[[.,[[.,[.,[.,.]]],.]],.],[.,.]]=>[[[[],[[],[],[]]]],[]]=>[[],[[[[],[],[]],[]]]]=>[[.,.],[.,[[.,[[[.,.],.],.]],.]]]
[[[.,[[.,[[.,.],.]],.]],.],[.,.]]=>[[[[],[[],[[]]]]],[]]=>[[],[[[[[]],[]],[]]]]=>[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>[[[[],[[[]],[]]]],[]]=>[[],[[[[],[[]]],[]]]]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]
[[[.,[[[.,[.,.]],.],.]],.],[.,.]]=>[[[[],[[[],[]]]]],[]]=>[[],[[[[[],[]]],[]]]]=>[[.,.],[.,[[.,[.,[[.,.],.]]],.]]]
[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>[[[[],[[[[]]]]]],[]]=>[[],[[[[[[]]]],[]]]]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[[[[[]],[],[],[]]],[]]=>[[],[[[],[],[],[[]]]]]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]
[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>[[[[[]],[],[[]]]],[]]=>[[],[[[[]],[],[[]]]]]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[[[[[]],[[]],[]]],[]]=>[[],[[[],[[]],[[]]]]]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>[[[[[]],[[],[]]]],[]]=>[[],[[[[],[]],[[]]]]]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]
[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>[[[[[]],[[[]]]]],[]]=>[[],[[[[[]]],[[]]]]]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[[[[[],[]],[],[]]],[]]=>[[],[[[],[],[[],[]]]]]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[[[[[],[]],[[]]]],[]]=>[[],[[[[]],[[],[]]]]]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]=>[[],[[[],[],[[[]]]]]]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>[[[[[[]]],[[]]]],[]]=>[[],[[[[]],[[[]]]]]]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[[[[[],[],[]],[]]],[]]=>[[],[[[],[[],[],[]]]]]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]
[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>[[[[[],[[]]],[]]],[]]=>[[],[[[],[[[]],[]]]]]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]=>[[],[[[],[[],[[]]]]]]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[[[[[[],[]]],[]]],[]]=>[[],[[[],[[[],[]]]]]]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]=>[[],[[[],[[[[]]]]]]]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[[[[[],[],[],[]]]],[]]=>[[],[[[[],[],[],[]]]]]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>[[[[[],[],[[]]]]],[]]=>[[],[[[[[]],[],[]]]]]=>[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[[[[[],[[]],[]]]],[]]=>[[],[[[[],[[]],[]]]]]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[[[[[],[[],[]]]]],[]]=>[[],[[[[[],[]],[]]]]]=>[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]
[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[[[[[],[[[]]]]]],[]]=>[[],[[[[[[]]],[]]]]]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[[[[[]],[],[]]]],[]]=>[[],[[[[],[],[[]]]]]]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[[[[[[]],[[]]]]],[]]=>[[],[[[[[]],[[]]]]]]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[[[[[[],[]],[]]]],[]]=>[[],[[[[],[[],[]]]]]]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[[[[[[]]],[]]]],[]]=>[[],[[[[],[[[]]]]]]]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[[[[[[],[],[]]]]],[]]=>[[],[[[[[],[],[]]]]]]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]
[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[[[[[[],[[]]]]]],[]]=>[[],[[[[[[]],[]]]]]]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[[[[[[]],[]]]]],[]]=>[[],[[[[[],[[]]]]]]]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[[[[[[[],[]]]]]],[]]=>[[],[[[[[[],[]]]]]]]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[[[[[[[[]]]]]]],[]]=>[[],[[[[[[[]]]]]]]]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[[[],[],[],[],[],[],[]]]=>[[[],[],[],[],[],[],[]]]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[[[],[],[],[],[],[[]]]]=>[[[[]],[],[],[],[],[]]]=>[.,[[[[[[.,[.,.]],.],.],.],.],.]]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[[[],[],[],[],[[]],[]]]=>[[[],[[]],[],[],[],[]]]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[[[],[],[],[],[[],[]]]]=>[[[[],[]],[],[],[],[]]]=>[.,[[[[[.,[[.,.],.]],.],.],.],.]]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[[[],[],[],[],[[[]]]]]=>[[[[[]]],[],[],[],[]]]=>[.,[[[[[.,[.,[.,.]]],.],.],.],.]]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[[[],[],[],[[]],[],[]]]=>[[[],[],[[]],[],[],[]]]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>[[[],[],[],[[]],[[]]]]=>[[[[]],[[]],[],[],[]]]=>[.,[[[[[.,[.,.]],[.,.]],.],.],.]]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>[[[],[],[],[[],[]],[]]]=>[[[],[[],[]],[],[],[]]]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[[[],[],[],[[[]]],[]]]=>[[[],[[[]]],[],[],[]]]=>[.,[[[[[.,.],[.,[.,.]]],.],.],.]]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[[[],[],[],[[],[],[]]]]=>[[[[],[],[]],[],[],[]]]=>[.,[[[[.,[[[.,.],.],.]],.],.],.]]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[[[],[],[],[[],[[]]]]]=>[[[[[]],[]],[],[],[]]]=>[.,[[[[.,[[.,[.,.]],.]],.],.],.]]
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]=>[[[],[],[],[[[]],[]]]]=>[[[[],[[]]],[],[],[]]]=>[.,[[[[.,[[.,.],[.,.]]],.],.],.]]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.]=>[[[],[],[],[[[],[]]]]]=>[[[[[],[]]],[],[],[]]]=>[.,[[[[.,[.,[[.,.],.]]],.],.],.]]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[[[],[],[],[[[[]]]]]]=>[[[[[[]]]],[],[],[]]]=>[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[[[],[],[[]],[],[],[]]]=>[[[],[],[],[[]],[],[]]]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]=>[[[],[],[[]],[],[[]]]]=>[[[[]],[],[[]],[],[]]]=>[.,[[[[[.,[.,.]],.],[.,.]],.],.]]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[[[],[],[[]],[[]],[]]]=>[[[],[[]],[[]],[],[]]]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]=>[[[],[],[[]],[[],[]]]]=>[[[[],[]],[[]],[],[]]]=>[.,[[[[.,[[.,.],.]],[.,.]],.],.]]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[[[],[],[[]],[[[]]]]]=>[[[[[]]],[[]],[],[]]]=>[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[[[],[],[[],[]],[],[]]]=>[[[],[],[[],[]],[],[]]]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]=>[[[],[],[[],[]],[[]]]]=>[[[[]],[[],[]],[],[]]]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[[[],[],[[[]]],[],[]]]=>[[[],[],[[[]]],[],[]]]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[[.,[.,[[[.,.],.],[[.,.],.]]]],.]=>[[[],[],[[[]]],[[]]]]=>[[[[]],[[[]]],[],[]]]=>[.,[[[[.,[.,.]],[.,[.,.]]],.],.]]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>[[[],[],[[],[],[]],[]]]=>[[[],[[],[],[]],[],[]]]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[[[],[],[[],[[]]],[]]]=>[[[],[[[]],[]],[],[]]]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>[[[],[],[[[]],[]],[]]]=>[[[],[[],[[]]],[],[]]]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]=>[[[],[],[[[],[]]],[]]]=>[[[],[[[],[]]],[],[]]]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>[[[],[],[[[[]]]],[]]]=>[[[],[[[[]]]],[],[]]]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[[[],[],[[],[],[],[]]]]=>[[[[],[],[],[]],[],[]]]=>[.,[[[.,[[[[.,.],.],.],.]],.],.]]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]=>[[[],[],[[],[],[[]]]]]=>[[[[[]],[],[]],[],[]]]=>[.,[[[.,[[[.,[.,.]],.],.]],.],.]]
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]=>[[[],[],[[],[[]],[]]]]=>[[[[],[[]],[]],[],[]]]=>[.,[[[.,[[[.,.],[.,.]],.]],.],.]]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[[[],[],[[],[[],[]]]]]=>[[[[[],[]],[]],[],[]]]=>[.,[[[.,[[.,[[.,.],.]],.]],.],.]]
[[.,[.,[[.,[[[.,.],.],.]],.]]],.]=>[[[],[],[[],[[[]]]]]]=>[[[[[[]]],[]],[],[]]]=>[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]=>[[[],[],[[[]],[],[]]]]=>[[[[],[],[[]]],[],[]]]=>[.,[[[.,[[[.,.],.],[.,.]]],.],.]]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.]=>[[[],[],[[[]],[[]]]]]=>[[[[[]],[[]]],[],[]]]=>[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.]=>[[[],[],[[[],[]],[]]]]=>[[[[],[[],[]]],[],[]]]=>[.,[[[.,[[.,.],[[.,.],.]]],.],.]]
[[.,[.,[[[[.,.],.],[.,.]],.]]],.]=>[[[],[],[[[[]]],[]]]]=>[[[[],[[[]]]],[],[]]]=>[.,[[[.,[[.,.],[.,[.,.]]]],.],.]]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[[[],[],[[[],[],[]]]]]=>[[[[[],[],[]]],[],[]]]=>[.,[[[.,[.,[[[.,.],.],.]]],.],.]]
[[.,[.,[[[.,[[.,.],.]],.],.]]],.]=>[[[],[],[[[],[[]]]]]]=>[[[[[[]],[]]],[],[]]]=>[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]
[[.,[.,[[[[.,.],[.,.]],.],.]]],.]=>[[[],[],[[[[]],[]]]]]=>[[[[[],[[]]]],[],[]]]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]
[[.,[.,[[[[.,[.,.]],.],.],.]]],.]=>[[[],[],[[[[],[]]]]]]=>[[[[[[],[]]]],[],[]]]=>[.,[[[.,[.,[.,[[.,.],.]]]],.],.]]
[[.,[.,[[[[[.,.],.],.],.],.]]],.]=>[[[],[],[[[[[]]]]]]]=>[[[[[[[]]]]],[],[]]]=>[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[[[],[[]],[],[],[],[]]]=>[[[],[],[],[],[[]],[]]]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>[[[],[[]],[],[],[[]]]]=>[[[[]],[],[],[[]],[]]]=>[.,[[[[[.,[.,.]],.],.],[.,.]],.]]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[[[],[[]],[],[[]],[]]]=>[[[],[[]],[],[[]],[]]]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]=>[[[],[[]],[],[[],[]]]]=>[[[[],[]],[],[[]],[]]]=>[.,[[[[.,[[.,.],.]],.],[.,.]],.]]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[[[],[[]],[],[[[]]]]]=>[[[[[]]],[],[[]],[]]]=>[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[[[],[[]],[[]],[],[]]]=>[[[],[],[[]],[[]],[]]]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[[[],[[]],[[]],[[]]]]=>[[[[]],[[]],[[]],[]]]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>[[[],[[]],[[],[]],[]]]=>[[[],[[],[]],[[]],[]]]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[[[],[[]],[[[]]],[]]]=>[[[],[[[]]],[[]],[]]]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>[[[],[[]],[[],[],[]]]]=>[[[[],[],[]],[[]],[]]]=>[.,[[[.,[[[.,.],.],.]],[.,.]],.]]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[[[],[[]],[[],[[]]]]]=>[[[[[]],[]],[[]],[]]]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]
[[.,[[.,.],[[[.,.],[.,.]],.]]],.]=>[[[],[[]],[[[]],[]]]]=>[[[[],[[]]],[[]],[]]]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>[[[],[[]],[[[],[]]]]]=>[[[[[],[]]],[[]],[]]]=>[.,[[[.,[.,[[.,.],.]]],[.,.]],.]]
[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[[[],[[]],[[[[]]]]]]=>[[[[[[]]]],[[]],[]]]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[[[],[[],[]],[],[],[]]]=>[[[],[],[],[[],[]],[]]]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>[[[],[[],[]],[],[[]]]]=>[[[[]],[],[[],[]],[]]]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[[[],[[],[]],[[]],[]]]=>[[[],[[]],[[],[]],[]]]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>[[[],[[],[]],[[],[]]]]=>[[[[],[]],[[],[]],[]]]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[[[],[[],[]],[[[]]]]]=>[[[[[]]],[[],[]],[]]]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[[[],[[[]]],[],[],[]]]=>[[[],[],[],[[[]]],[]]]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[[[],[[[]]],[],[[]]]]=>[[[[]],[],[[[]]],[]]]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[[[],[[[]]],[[]],[]]]=>[[[],[[]],[[[]]],[]]]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[[[],[[[]]],[[],[]]]]=>[[[[],[]],[[[]]],[]]]=>[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]
[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[[[],[[[]]],[[[]]]]]=>[[[[[]]],[[[]]],[]]]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>[[[],[[],[],[]],[],[]]]=>[[[],[],[[],[],[]],[]]]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[[[],[[],[],[]],[[]]]]=>[[[[]],[[],[],[]],[]]]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]=>[[[],[[],[[]]],[],[]]]=>[[[],[],[[[]],[]],[]]]=>[.,[[[[.,.],.],[[.,[.,.]],.]],.]]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[[[],[[],[[]]],[[]]]]=>[[[[]],[[[]],[]],[]]]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>[[[],[[[]],[]],[],[]]]=>[[[],[],[[],[[]]],[]]]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>[[[],[[[]],[]],[[]]]]=>[[[[]],[[],[[]]],[]]]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>[[[],[[[],[]]],[],[]]]=>[[[],[],[[[],[]]],[]]]=>[.,[[[[.,.],.],[.,[[.,.],.]]],.]]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[[[],[[[],[]]],[[]]]]=>[[[[]],[[[],[]]],[]]]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[[[],[[[[]]]],[],[]]]=>[[[],[],[[[[]]]],[]]]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]
[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>[[[],[[[[]]]],[[]]]]=>[[[[]],[[[[]]]],[]]]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[[[],[[],[],[],[]],[]]]=>[[[],[[],[],[],[]],[]]]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[[[],[[],[],[[]]],[]]]=>[[[],[[[]],[],[]],[]]]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[[[],[[],[[]],[]],[]]]=>[[[],[[],[[]],[]],[]]]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[[[],[[],[[],[]]],[]]]=>[[[],[[[],[]],[]],[]]]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.]=>[[[],[[],[[[]]]],[]]]=>[[[],[[[[]]],[]],[]]]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>[[[],[[[]],[],[]],[]]]=>[[[],[[],[],[[]]],[]]]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>[[[],[[[]],[[]]],[]]]=>[[[],[[[]],[[]]],[]]]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[[[],[[[],[]],[]],[]]]=>[[[],[[],[[],[]]],[]]]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>[[[],[[[[]]],[]],[]]]=>[[[],[[],[[[]]]],[]]]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[[[],[[[],[],[]]],[]]]=>[[[],[[[],[],[]]],[]]]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]
[[.,[[[.,[[.,.],.]],.],[.,.]]],.]=>[[[],[[[],[[]]]],[]]]=>[[[],[[[[]],[]]],[]]]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>[[[],[[[[]],[]]],[]]]=>[[[],[[[],[[]]]],[]]]=>[.,[[[.,.],[.,[[.,.],[.,.]]]],.]]
[[.,[[[[.,[.,.]],.],.],[.,.]]],.]=>[[[],[[[[],[]]]],[]]]=>[[[],[[[[],[]]]],[]]]=>[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]
[[.,[[[[[.,.],.],.],.],[.,.]]],.]=>[[[],[[[[[]]]]],[]]]=>[[[],[[[[[]]]]],[]]]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]=>[[[],[[],[],[],[],[]]]]=>[[[[],[],[],[],[]],[]]]=>[.,[[.,[[[[[.,.],.],.],.],.]],.]]
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]=>[[[],[[],[],[],[[]]]]]=>[[[[[]],[],[],[]],[]]]=>[.,[[.,[[[[.,[.,.]],.],.],.]],.]]
[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]=>[[[],[[],[],[[]],[]]]]=>[[[[],[[]],[],[]],[]]]=>[.,[[.,[[[[.,.],[.,.]],.],.]],.]]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]=>[[[],[[],[],[[],[]]]]]=>[[[[[],[]],[],[]],[]]]=>[.,[[.,[[[.,[[.,.],.]],.],.]],.]]
[[.,[[.,[.,[[[.,.],.],.]]],.]],.]=>[[[],[[],[],[[[]]]]]]=>[[[[[[]]],[],[]],[]]]=>[.,[[.,[[[.,[.,[.,.]]],.],.]],.]]
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]=>[[[],[[],[[]],[],[]]]]=>[[[[],[],[[]],[]],[]]]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[[[],[[],[[]],[[]]]]]=>[[[[[]],[[]],[]],[]]]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>[[[],[[],[[],[]],[]]]]=>[[[[],[[],[]],[]],[]]]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>[[[],[[],[[[]]],[]]]]=>[[[[],[[[]]],[]],[]]]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>[[[],[[],[[],[],[]]]]]=>[[[[[],[],[]],[]],[]]]=>[.,[[.,[[.,[[[.,.],.],.]],.]],.]]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[[[],[[],[[],[[]]]]]]=>[[[[[[]],[]],[]],[]]]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>[[[],[[],[[[]],[]]]]]=>[[[[[],[[]]],[]],[]]]=>[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.]=>[[[],[[],[[[],[]]]]]]=>[[[[[[],[]]],[]],[]]]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]
[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[[[],[[],[[[[]]]]]]]=>[[[[[[[]]]],[]],[]]]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]=>[[[],[[[]],[],[],[]]]]=>[[[[],[],[],[[]]],[]]]=>[.,[[.,[[[[.,.],.],.],[.,.]]],.]]
[[.,[[[.,.],[.,[[.,.],.]]],.]],.]=>[[[],[[[]],[],[[]]]]]=>[[[[[]],[],[[]]],[]]]=>[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>[[[],[[[]],[[]],[]]]]=>[[[[],[[]],[[]]],[]]]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.]=>[[[],[[[]],[[],[]]]]]=>[[[[[],[]],[[]]],[]]]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>[[[],[[[]],[[[]]]]]]=>[[[[[[]]],[[]]],[]]]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>[[[],[[[],[]],[],[]]]]=>[[[[],[],[[],[]]],[]]]=>[.,[[.,[[[.,.],.],[[.,.],.]]],.]]
[[.,[[[.,[.,.]],[[.,.],.]],.]],.]=>[[[],[[[],[]],[[]]]]]=>[[[[[]],[[],[]]],[]]]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[[.,[[[[.,.],.],[.,[.,.]]],.]],.]=>[[[],[[[[]]],[],[]]]]=>[[[[],[],[[[]]]],[]]]=>[.,[[.,[[[.,.],.],[.,[.,.]]]],.]]
[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>[[[],[[[[]]],[[]]]]]=>[[[[[]],[[[]]]],[]]]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]=>[[[],[[[],[],[]],[]]]]=>[[[[],[[],[],[]]],[]]]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>[[[],[[[],[[]]],[]]]]=>[[[[],[[[]],[]]],[]]]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>[[[],[[[[]],[]],[]]]]=>[[[[],[[],[[]]]],[]]]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>[[[],[[[[],[]]],[]]]]=>[[[[],[[[],[]]]],[]]]=>[.,[[.,[[.,.],[.,[[.,.],.]]]],.]]
[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>[[[],[[[[[]]]],[]]]]=>[[[[],[[[[]]]]],[]]]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[[[],[[[],[],[],[]]]]]=>[[[[[],[],[],[]]],[]]]=>[.,[[.,[.,[[[[.,.],.],.],.]]],.]]
[[.,[[[.,[.,[[.,.],.]]],.],.]],.]=>[[[],[[[],[],[[]]]]]]=>[[[[[[]],[],[]]],[]]]=>[.,[[.,[.,[[[.,[.,.]],.],.]]],.]]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>[[[],[[[],[[]],[]]]]]=>[[[[[],[[]],[]]],[]]]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.]=>[[[],[[[],[[],[]]]]]]=>[[[[[[],[]],[]]],[]]]=>[.,[[.,[.,[[.,[[.,.],.]],.]]],.]]
[[.,[[[.,[[[.,.],.],.]],.],.]],.]=>[[[],[[[],[[[]]]]]]]=>[[[[[[[]]],[]]],[]]]=>[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.]=>[[[],[[[[]],[],[]]]]]=>[[[[[],[],[[]]]],[]]]=>[.,[[.,[.,[[[.,.],.],[.,.]]]],.]]
[[.,[[[[.,.],[[.,.],.]],.],.]],.]=>[[[],[[[[]],[[]]]]]]=>[[[[[[]],[[]]]],[]]]=>[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.]=>[[[],[[[[],[]],[]]]]]=>[[[[[],[[],[]]]],[]]]=>[.,[[.,[.,[[.,.],[[.,.],.]]]],.]]
[[.,[[[[[.,.],.],[.,.]],.],.]],.]=>[[[],[[[[[]]],[]]]]]=>[[[[[],[[[]]]]],[]]]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.]=>[[[],[[[[],[],[]]]]]]=>[[[[[[],[],[]]]],[]]]=>[.,[[.,[.,[.,[[[.,.],.],.]]]],.]]
[[.,[[[[.,[[.,.],.]],.],.],.]],.]=>[[[],[[[[],[[]]]]]]]=>[[[[[[[]],[]]]],[]]]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[[.,[[[[[.,.],[.,.]],.],.],.]],.]=>[[[],[[[[[]],[]]]]]]=>[[[[[[],[[]]]]],[]]]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[[.,[[[[[.,[.,.]],.],.],.],.]],.]=>[[[],[[[[[],[]]]]]]]=>[[[[[[[],[]]]]],[]]]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[[.,[[[[[[.,.],.],.],.],.],.]],.]=>[[[],[[[[[[]]]]]]]]=>[[[[[[[[]]]]]],[]]]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[[[[]],[],[],[],[],[]]]=>[[[],[],[],[],[],[[]]]]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>[[[[]],[],[],[],[[]]]]=>[[[[]],[],[],[],[[]]]]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>[[[[]],[],[],[[]],[]]]=>[[[],[[]],[],[],[[]]]]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]=>[[[[]],[],[],[[],[]]]]=>[[[[],[]],[],[],[[]]]]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.]=>[[[[]],[],[],[[[]]]]]=>[[[[[]]],[],[],[[]]]]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>[[[[]],[],[[]],[],[]]]=>[[[],[],[[]],[],[[]]]]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[[[.,.],[.,[[.,.],[[.,.],.]]]],.]=>[[[[]],[],[[]],[[]]]]=>[[[[]],[[]],[],[[]]]]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>[[[[]],[],[[],[]],[]]]=>[[[],[[],[]],[],[[]]]]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[[[[]],[],[[[]]],[]]]=>[[[],[[[]]],[],[[]]]]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]=>[[[[]],[],[[],[],[]]]]=>[[[[],[],[]],[],[[]]]]=>[.,[[[.,[[[.,.],.],.]],.],[.,.]]]
[[[.,.],[.,[[.,[[.,.],.]],.]]],.]=>[[[[]],[],[[],[[]]]]]=>[[[[[]],[]],[],[[]]]]=>[.,[[[.,[[.,[.,.]],.]],.],[.,.]]]
[[[.,.],[.,[[[.,.],[.,.]],.]]],.]=>[[[[]],[],[[[]],[]]]]=>[[[[],[[]]],[],[[]]]]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>[[[[]],[],[[[],[]]]]]=>[[[[[],[]]],[],[[]]]]=>[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]
[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[[[[]],[],[[[[]]]]]]=>[[[[[[]]]],[],[[]]]]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[[[[]],[[]],[],[],[]]]=>[[[],[],[],[[]],[[]]]]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>[[[[]],[[]],[],[[]]]]=>[[[[]],[],[[]],[[]]]]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[[[[]],[[]],[[]],[]]]=>[[[],[[]],[[]],[[]]]]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>[[[[]],[[]],[[],[]]]]=>[[[[],[]],[[]],[[]]]]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>[[[[]],[[]],[[[]]]]]=>[[[[[]]],[[]],[[]]]]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>[[[[]],[[],[]],[],[]]]=>[[[],[],[[],[]],[[]]]]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>[[[[]],[[],[]],[[]]]]=>[[[[]],[[],[]],[[]]]]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>[[[[]],[[[]]],[],[]]]=>[[[],[],[[[]]],[[]]]]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[[[[]],[[[]]],[[]]]]=>[[[[]],[[[]]],[[]]]]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>[[[[]],[[],[],[]],[]]]=>[[[],[[],[],[]],[[]]]]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>[[[[]],[[],[[]]],[]]]=>[[[],[[[]],[]],[[]]]]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[[[[]],[[[]],[]],[]]]=>[[[],[[],[[]]],[[]]]]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>[[[[]],[[[],[]]],[]]]=>[[[],[[[],[]]],[[]]]]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>[[[[]],[[[[]]]],[]]]=>[[[],[[[[]]]],[[]]]]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>[[[[]],[[],[],[],[]]]]=>[[[[],[],[],[]],[[]]]]=>[.,[[.,[[[[.,.],.],.],.]],[.,.]]]
[[[.,.],[[.,[.,[[.,.],.]]],.]],.]=>[[[[]],[[],[],[[]]]]]=>[[[[[]],[],[]],[[]]]]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]
[[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>[[[[]],[[],[[]],[]]]]=>[[[[],[[]],[]],[[]]]]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>[[[[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[]]]]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>[[[[]],[[],[[[]]]]]]=>[[[[[[]]],[]],[[]]]]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>[[[[]],[[[]],[],[]]]]=>[[[[],[],[[]]],[[]]]]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[[[[]],[[[]],[[]]]]]=>[[[[[]],[[]]],[[]]]]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>[[[[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[]]]]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>[[[[]],[[[[]]],[]]]]=>[[[[],[[[]]]],[[]]]]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[[[.,.],[[[.,[.,[.,.]]],.],.]],.]=>[[[[]],[[[],[],[]]]]]=>[[[[[],[],[]]],[[]]]]=>[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]
[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>[[[[]],[[[],[[]]]]]]=>[[[[[[]],[]]],[[]]]]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>[[[[]],[[[[]],[]]]]]=>[[[[[],[[]]]],[[]]]]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[[[.,.],[[[[.,[.,.]],.],.],.]],.]=>[[[[]],[[[[],[]]]]]]=>[[[[[[],[]]]],[[]]]]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[[[[]],[[[[[]]]]]]]=>[[[[[[[]]]]],[[]]]]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[[[[],[]],[],[],[],[]]]=>[[[],[],[],[],[[],[]]]]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>[[[[],[]],[],[],[[]]]]=>[[[[]],[],[],[[],[]]]]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>[[[[],[]],[],[[]],[]]]=>[[[],[[]],[],[[],[]]]]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>[[[[],[]],[],[[],[]]]]=>[[[[],[]],[],[[],[]]]]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>[[[[],[]],[],[[[]]]]]=>[[[[[]]],[],[[],[]]]]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>[[[[],[]],[[]],[],[]]]=>[[[],[],[[]],[[],[]]]]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>[[[[],[]],[[]],[[]]]]=>[[[[]],[[]],[[],[]]]]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[[[[],[]],[[],[]],[]]]=>[[[],[[],[]],[[],[]]]]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[[[[],[]],[[[]]],[]]]=>[[[],[[[]]],[[],[]]]]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>[[[[],[]],[[],[],[]]]]=>[[[[],[],[]],[[],[]]]]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]
[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>[[[[],[]],[[],[[]]]]]=>[[[[[]],[]],[[],[]]]]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>[[[[],[]],[[[]],[]]]]=>[[[[],[[]]],[[],[]]]]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>[[[[],[]],[[[],[]]]]]=>[[[[[],[]]],[[],[]]]]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]
[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[[[[],[]],[[[[]]]]]]=>[[[[[[]]]],[[],[]]]]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[[[[[]]],[],[],[],[]]]=>[[[],[],[],[],[[[]]]]]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>[[[[[]]],[],[],[[]]]]=>[[[[]],[],[],[[[]]]]]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>[[[[[]]],[],[[]],[]]]=>[[[],[[]],[],[[[]]]]]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>[[[[[]]],[],[[],[]]]]=>[[[[],[]],[],[[[]]]]]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[[[[[]]],[],[[[]]]]]=>[[[[[]]],[],[[[]]]]]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[[[[[]]],[[]],[],[]]]=>[[[],[],[[]],[[[]]]]]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>[[[[[]]],[[]],[[]]]]=>[[[[]],[[]],[[[]]]]]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[[[[[]]],[[],[]],[]]]=>[[[],[[],[]],[[[]]]]]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[[[[[]]],[[[]]],[]]]=>[[[],[[[]]],[[[]]]]]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>[[[[[]]],[[],[],[]]]]=>[[[[],[],[]],[[[]]]]]=>[.,[[.,[[[.,.],.],.]],[.,[.,.]]]]
[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[[[[[]]],[[],[[]]]]]=>[[[[[]],[]],[[[]]]]]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[[[[[]]],[[[]],[]]]]=>[[[[],[[]]],[[[]]]]]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[[[[[]]],[[[],[]]]]]=>[[[[[],[]]],[[[]]]]]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[[[[]]],[[[[]]]]]]=>[[[[[[]]]],[[[]]]]]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>[[[[],[],[]],[],[],[]]]=>[[[],[],[],[[],[],[]]]]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>[[[[],[],[]],[],[[]]]]=>[[[[]],[],[[],[],[]]]]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[[[[],[],[]],[[]],[]]]=>[[[],[[]],[[],[],[]]]]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>[[[[],[],[]],[[],[]]]]=>[[[[],[]],[[],[],[]]]]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>[[[[],[],[]],[[[]]]]]=>[[[[[]]],[[],[],[]]]]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>[[[[],[[]]],[],[],[]]]=>[[[],[],[],[[[]],[]]]]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>[[[[],[[]]],[],[[]]]]=>[[[[]],[],[[[]],[]]]]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>[[[[],[[]]],[[]],[]]]=>[[[],[[]],[[[]],[]]]]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>[[[[],[[]]],[[],[]]]]=>[[[[],[]],[[[]],[]]]]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[[[[],[[]]],[[[]]]]]=>[[[[[]]],[[[]],[]]]]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[[[[[]],[]],[],[],[]]]=>[[[],[],[],[[],[[]]]]]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>[[[[[]],[]],[],[[]]]]=>[[[[]],[],[[],[[]]]]]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[[[[[]],[]],[[]],[]]]=>[[[],[[]],[[],[[]]]]]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>[[[[[]],[]],[[],[]]]]=>[[[[],[]],[[],[[]]]]]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[[[[[]],[]],[[[]]]]]=>[[[[[]]],[[],[[]]]]]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[[[[[],[]]],[],[],[]]]=>[[[],[],[],[[[],[]]]]]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.]=>[[[[[],[]]],[],[[]]]]=>[[[[]],[],[[[],[]]]]]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>[[[[[],[]]],[[]],[]]]=>[[[],[[]],[[[],[]]]]]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>[[[[[],[]]],[[],[]]]]=>[[[[],[]],[[[],[]]]]]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[[[[[],[]]],[[[]]]]]=>[[[[[]]],[[[],[]]]]]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[[[[[[]]]],[],[],[]]]=>[[[],[],[],[[[[]]]]]]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[[[[[[]]]],[],[[]]]]=>[[[[]],[],[[[[]]]]]]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[[[[[[]]]],[[]],[]]]=>[[[],[[]],[[[[]]]]]]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[[[[[[]]]],[[],[]]]]=>[[[[],[]],[[[[]]]]]]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[[[[[[]]]],[[[]]]]]=>[[[[[]]],[[[[]]]]]]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[[[[],[],[],[]],[],[]]]=>[[[],[],[[],[],[],[]]]]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[[[[],[],[],[]],[[]]]]=>[[[[]],[[],[],[],[]]]]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]=>[[[[],[],[[]]],[],[]]]=>[[[],[],[[[]],[],[]]]]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]
[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>[[[[],[],[[]]],[[]]]]=>[[[[]],[[[]],[],[]]]]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>[[[[],[[]],[]],[],[]]]=>[[[],[],[[],[[]],[]]]]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>[[[[],[[]],[]],[[]]]]=>[[[[]],[[],[[]],[]]]]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[[[[],[[],[]]],[],[]]]=>[[[],[],[[[],[]],[]]]]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>[[[[],[[],[]]],[[]]]]=>[[[[]],[[[],[]],[]]]]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[[[[],[[[]]]],[],[]]]=>[[[],[],[[[[]]],[]]]]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[[[[],[[[]]]],[[]]]]=>[[[[]],[[[[]]],[]]]]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[[[[[]],[],[]],[],[]]]=>[[[],[],[[],[],[[]]]]]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[[[[[]],[],[]],[[]]]]=>[[[[]],[[],[],[[]]]]]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>[[[[[]],[[]]],[],[]]]=>[[[],[],[[[]],[[]]]]]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[[[[[]],[[]]],[[]]]]=>[[[[]],[[[]],[[]]]]]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[[[[[],[]],[]],[],[]]]=>[[[],[],[[],[[],[]]]]]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[[[[[],[]],[]],[[]]]]=>[[[[]],[[],[[],[]]]]]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[[[[[]]],[]],[],[]]]=>[[[],[],[[],[[[]]]]]]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]=>[[[[]],[[],[[[]]]]]]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[[[[[],[],[]]],[],[]]]=>[[[],[],[[[],[],[]]]]]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>[[[[[],[],[]]],[[]]]]=>[[[[]],[[[],[],[]]]]]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>[[[[[],[[]]]],[],[]]]=>[[[],[],[[[[]],[]]]]]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[[[[[],[[]]]],[[]]]]=>[[[[]],[[[[]],[]]]]]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[[[[[[]],[]]],[],[]]]=>[[[],[],[[[],[[]]]]]]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]=>[[[[]],[[[],[[]]]]]]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>[[[[[[],[]]]],[],[]]]=>[[[],[],[[[[],[]]]]]]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>[[[[[[],[]]]],[[]]]]=>[[[[]],[[[[],[]]]]]]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[[[[[[[]]]]],[],[]]]=>[[[],[],[[[[[]]]]]]]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]=>[[[[]],[[[[[]]]]]]]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>[[[[],[],[],[],[]],[]]]=>[[[],[[],[],[],[],[]]]]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]=>[[[[],[],[],[[]]],[]]]=>[[[],[[[]],[],[],[]]]]=>[.,[[.,.],[[[[.,[.,.]],.],.],.]]]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>[[[[],[],[[]],[]],[]]]=>[[[],[[],[[]],[],[]]]]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>[[[[],[],[[],[]]],[]]]=>[[[],[[[],[]],[],[]]]]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>[[[[],[],[[[]]]],[]]]=>[[[],[[[[]]],[],[]]]]=>[.,[[.,.],[[[.,[.,[.,.]]],.],.]]]
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>[[[[],[[]],[],[]],[]]]=>[[[],[[],[],[[]],[]]]]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>[[[[],[[]],[[]]],[]]]=>[[[],[[[]],[[]],[]]]]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[[[[],[[],[]],[]],[]]]=>[[[],[[],[[],[]],[]]]]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[[[[],[[[]]],[]],[]]]=>[[[],[[],[[[]]],[]]]]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]=>[[[[],[[],[],[]]],[]]]=>[[[],[[[],[],[]],[]]]]=>[.,[[.,.],[[.,[[[.,.],.],.]],.]]]
[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>[[[[],[[],[[]]]],[]]]=>[[[],[[[[]],[]],[]]]]=>[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>[[[[],[[[]],[]]],[]]]=>[[[],[[[],[[]]],[]]]]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[[[.,[[[.,[.,.]],.],.]],[.,.]],.]=>[[[[],[[[],[]]]],[]]]=>[[[],[[[[],[]]],[]]]]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[[[[],[[[[]]]]],[]]]=>[[[],[[[[[]]]],[]]]]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>[[[[[]],[],[],[]],[]]]=>[[[],[[],[],[],[[]]]]]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>[[[[[]],[],[[]]],[]]]=>[[[],[[[]],[],[[]]]]]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[[[[[]],[[]],[]],[]]]=>[[[],[[],[[]],[[]]]]]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>[[[[[]],[[],[]]],[]]]=>[[[],[[[],[]],[[]]]]]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>[[[[[]],[[[]]]],[]]]=>[[[],[[[[]]],[[]]]]]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>[[[[[],[]],[],[]],[]]]=>[[[],[[],[],[[],[]]]]]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>[[[[[],[]],[[]]],[]]]=>[[[],[[[]],[[],[]]]]]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[[[[[[]]],[],[]],[]]]=>[[[],[[],[],[[[]]]]]]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[[[[[]]],[[]]],[]]]=>[[[],[[[]],[[[]]]]]]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[[[[[],[],[]],[]],[]]]=>[[[],[[],[[],[],[]]]]]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[[[[[],[[]]],[]],[]]]=>[[[],[[],[[[]],[]]]]]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[[[[[]],[]],[]],[]]]=>[[[],[[],[[],[[]]]]]]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[[[[[[],[]]],[]],[]]]=>[[[],[[],[[[],[]]]]]]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[[[[[[]]]],[]],[]]]=>[[[],[[],[[[[]]]]]]]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[[[[[],[],[],[]]],[]]]=>[[[],[[[],[],[],[]]]]]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]
[[[[.,[.,[[.,.],.]]],.],[.,.]],.]=>[[[[[],[],[[]]]],[]]]=>[[[],[[[[]],[],[]]]]]=>[.,[[.,.],[.,[[[.,[.,.]],.],.]]]]
[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>[[[[[],[[]],[]]],[]]]=>[[[],[[[],[[]],[]]]]]=>[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>[[[[[],[[],[]]]],[]]]=>[[[],[[[[],[]],[]]]]]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]
[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[[[[[],[[[]]]]],[]]]=>[[[],[[[[[]]],[]]]]]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[[[[[[]],[],[]]],[]]]=>[[[],[[[],[],[[]]]]]]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[[[[[[]],[[]]]],[]]]=>[[[],[[[[]],[[]]]]]]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>[[[[[[],[]],[]]],[]]]=>[[[],[[[],[[],[]]]]]]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[[[[[[]]],[]]],[]]]=>[[[],[[[],[[[]]]]]]]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>[[[[[[],[],[]]]],[]]]=>[[[],[[[[],[],[]]]]]]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[[[[[[],[[]]]]],[]]]=>[[[],[[[[[]],[]]]]]]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[[[[[[[]],[]]]],[]]]=>[[[],[[[[],[[]]]]]]]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>[[[[[[[],[]]]]],[]]]=>[[[],[[[[[],[]]]]]]]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[[[[[[[[]]]]]],[]]]=>[[[],[[[[[[]]]]]]]]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>[[[[],[],[],[],[],[]]]]=>[[[[],[],[],[],[],[]]]]=>[.,[.,[[[[[[.,.],.],.],.],.],.]]]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]=>[[[[],[],[],[],[[]]]]]=>[[[[[]],[],[],[],[]]]]=>[.,[.,[[[[[.,[.,.]],.],.],.],.]]]
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]=>[[[[],[],[],[[]],[]]]]=>[[[[],[[]],[],[],[]]]]=>[.,[.,[[[[[.,.],[.,.]],.],.],.]]]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]=>[[[[],[],[],[[],[]]]]]=>[[[[[],[]],[],[],[]]]]=>[.,[.,[[[[.,[[.,.],.]],.],.],.]]]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>[[[[],[],[],[[[]]]]]]=>[[[[[[]]],[],[],[]]]]=>[.,[.,[[[[.,[.,[.,.]]],.],.],.]]]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[[[[],[],[[]],[],[]]]]=>[[[[],[],[[]],[],[]]]]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[[[.,[.,[[.,.],[[.,.],.]]]],.],.]=>[[[[],[],[[]],[[]]]]]=>[[[[[]],[[]],[],[]]]]=>[.,[.,[[[[.,[.,.]],[.,.]],.],.]]]
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]=>[[[[],[],[[],[]],[]]]]=>[[[[],[[],[]],[],[]]]]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[[[.,[.,[[[.,.],.],[.,.]]]],.],.]=>[[[[],[],[[[]]],[]]]]=>[[[[],[[[]]],[],[]]]]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>[[[[],[],[[],[],[]]]]]=>[[[[[],[],[]],[],[]]]]=>[.,[.,[[[.,[[[.,.],.],.]],.],.]]]
[[[.,[.,[[.,[[.,.],.]],.]]],.],.]=>[[[[],[],[[],[[]]]]]]=>[[[[[[]],[]],[],[]]]]=>[.,[.,[[[.,[[.,[.,.]],.]],.],.]]]
[[[.,[.,[[[.,.],[.,.]],.]]],.],.]=>[[[[],[],[[[]],[]]]]]=>[[[[[],[[]]],[],[]]]]=>[.,[.,[[[.,[[.,.],[.,.]]],.],.]]]
[[[.,[.,[[[.,[.,.]],.],.]]],.],.]=>[[[[],[],[[[],[]]]]]]=>[[[[[[],[]]],[],[]]]]=>[.,[.,[[[.,[.,[[.,.],.]]],.],.]]]
[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[[[[],[],[[[[]]]]]]]=>[[[[[[[]]]],[],[]]]]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]=>[[[[],[[]],[],[],[]]]]=>[[[[],[],[],[[]],[]]]]=>[.,[.,[[[[[.,.],.],.],[.,.]],.]]]
[[[.,[[.,.],[.,[[.,.],.]]]],.],.]=>[[[[],[[]],[],[[]]]]]=>[[[[[]],[],[[]],[]]]]=>[.,[.,[[[[.,[.,.]],.],[.,.]],.]]]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>[[[[],[[]],[[]],[]]]]=>[[[[],[[]],[[]],[]]]]=>[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.]=>[[[[],[[]],[[],[]]]]]=>[[[[[],[]],[[]],[]]]]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]
[[[.,[[.,.],[[[.,.],.],.]]],.],.]=>[[[[],[[]],[[[]]]]]]=>[[[[[[]]],[[]],[]]]]=>[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]=>[[[[],[[],[]],[],[]]]]=>[[[[],[],[[],[]],[]]]]=>[.,[.,[[[[.,.],.],[[.,.],.]],.]]]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>[[[[],[[],[]],[[]]]]]=>[[[[[]],[[],[]],[]]]]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[[[[],[[[]]],[],[]]]]=>[[[[],[],[[[]]],[]]]]=>[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]
[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>[[[[],[[[]]],[[]]]]]=>[[[[[]],[[[]]],[]]]]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>[[[[],[[],[],[]],[]]]]=>[[[[],[[],[],[]],[]]]]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.]=>[[[[],[[],[[]]],[]]]]=>[[[[],[[[]],[]],[]]]]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.]=>[[[[],[[[]],[]],[]]]]=>[[[[],[[],[[]]],[]]]]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[[[.,[[[.,[.,.]],.],[.,.]]],.],.]=>[[[[],[[[],[]]],[]]]]=>[[[[],[[[],[]]],[]]]]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]
[[[.,[[[[.,.],.],.],[.,.]]],.],.]=>[[[[],[[[[]]]],[]]]]=>[[[[],[[[[]]]],[]]]]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[[[[],[[],[],[],[]]]]]=>[[[[[],[],[],[]],[]]]]=>[.,[.,[[.,[[[[.,.],.],.],.]],.]]]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[[[[],[[],[],[[]]]]]]=>[[[[[[]],[],[]],[]]]]=>[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.]=>[[[[],[[],[[]],[]]]]]=>[[[[[],[[]],[]],[]]]]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.]=>[[[[],[[],[[],[]]]]]]=>[[[[[[],[]],[]],[]]]]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[[[.,[[.,[[[.,.],.],.]],.]],.],.]=>[[[[],[[],[[[]]]]]]]=>[[[[[[[]]],[]],[]]]]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]
[[[.,[[[.,.],[.,[.,.]]],.]],.],.]=>[[[[],[[[]],[],[]]]]]=>[[[[[],[],[[]]],[]]]]=>[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]
[[[.,[[[.,.],[[.,.],.]],.]],.],.]=>[[[[],[[[]],[[]]]]]]=>[[[[[[]],[[]]],[]]]]=>[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>[[[[],[[[],[]],[]]]]]=>[[[[[],[[],[]]],[]]]]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[[[.,[[[[.,.],.],[.,.]],.]],.],.]=>[[[[],[[[[]]],[]]]]]=>[[[[[],[[[]]]],[]]]]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.]=>[[[[],[[[],[],[]]]]]]=>[[[[[[],[],[]]],[]]]]=>[.,[.,[[.,[.,[[[.,.],.],.]]],.]]]
[[[.,[[[.,[[.,.],.]],.],.]],.],.]=>[[[[],[[[],[[]]]]]]]=>[[[[[[[]],[]]],[]]]]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[[[.,[[[[.,.],[.,.]],.],.]],.],.]=>[[[[],[[[[]],[]]]]]]=>[[[[[[],[[]]]],[]]]]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[[[.,[[[[.,[.,.]],.],.],.]],.],.]=>[[[[],[[[[],[]]]]]]]=>[[[[[[[],[]]]],[]]]]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[[[.,[[[[[.,.],.],.],.],.]],.],.]=>[[[[],[[[[[]]]]]]]]=>[[[[[[[[]]]]],[]]]]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[[[[[]],[],[],[],[]]]]=>[[[[],[],[],[],[[]]]]]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>[[[[[]],[],[],[[]]]]]=>[[[[[]],[],[],[[]]]]]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.]=>[[[[[]],[],[[]],[]]]]=>[[[[],[[]],[],[[]]]]]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>[[[[[]],[],[[],[]]]]]=>[[[[[],[]],[],[[]]]]]=>[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]
[[[[.,.],[.,[[[.,.],.],.]]],.],.]=>[[[[[]],[],[[[]]]]]]=>[[[[[[]]],[],[[]]]]]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[[[[[]],[[]],[],[]]]]=>[[[[],[],[[]],[[]]]]]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[[[[[]],[[]],[[]]]]]=>[[[[[]],[[]],[[]]]]]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>[[[[[]],[[],[]],[]]]]=>[[[[],[[],[]],[[]]]]]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>[[[[[]],[[[]]],[]]]]=>[[[[],[[[]]],[[]]]]]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[[[[[]],[[],[],[]]]]]=>[[[[[],[],[]],[[]]]]]=>[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]
[[[[.,.],[[.,[[.,.],.]],.]],.],.]=>[[[[[]],[[],[[]]]]]]=>[[[[[[]],[]],[[]]]]]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>[[[[[]],[[[]],[]]]]]=>[[[[[],[[]]],[[]]]]]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[[[[.,.],[[[.,[.,.]],.],.]],.],.]=>[[[[[]],[[[],[]]]]]]=>[[[[[[],[]]],[[]]]]]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]
[[[[.,.],[[[[.,.],.],.],.]],.],.]=>[[[[[]],[[[[]]]]]]]=>[[[[[[[]]]],[[]]]]]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>[[[[[],[]],[],[],[]]]]=>[[[[],[],[],[[],[]]]]]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[[[[[],[]],[],[[]]]]]=>[[[[[]],[],[[],[]]]]]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[[[[[],[]],[[]],[]]]]=>[[[[],[[]],[[],[]]]]]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>[[[[[],[]],[[],[]]]]]=>[[[[[],[]],[[],[]]]]]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]
[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>[[[[[],[]],[[[]]]]]]=>[[[[[[]]],[[],[]]]]]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[[[[[[]]],[],[],[]]]]=>[[[[],[],[],[[[]]]]]]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>[[[[[[]]],[],[[]]]]]=>[[[[[]],[],[[[]]]]]]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[[[[[[]]],[[]],[]]]]=>[[[[],[[]],[[[]]]]]]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>[[[[[[]]],[[],[]]]]]=>[[[[[],[]],[[[]]]]]]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[[[[[[]]],[[[]]]]]]=>[[[[[[]]],[[[]]]]]]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>[[[[[],[],[]],[],[]]]]=>[[[[],[],[[],[],[]]]]]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[[[[[],[],[]],[[]]]]]=>[[[[[]],[[],[],[]]]]]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>[[[[[],[[]]],[],[]]]]=>[[[[],[],[[[]],[]]]]]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>[[[[[],[[]]],[[]]]]]=>[[[[[]],[[[]],[]]]]]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>[[[[[[]],[]],[],[]]]]=>[[[[],[],[[],[[]]]]]]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[[[[[[]],[]],[[]]]]]=>[[[[[]],[[],[[]]]]]]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>[[[[[[],[]]],[],[]]]]=>[[[[],[],[[[],[]]]]]]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]
[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>[[[[[[],[]]],[[]]]]]=>[[[[[]],[[[],[]]]]]]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[[[[[[[]]]],[],[]]]]=>[[[[],[],[[[[]]]]]]]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[[[[[[.,.],.],.],[[.,.],.]],.],.]=>[[[[[[[]]]],[[]]]]]=>[[[[[]],[[[[]]]]]]]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[[[[[],[],[],[]],[]]]]=>[[[[],[[],[],[],[]]]]]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]
[[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>[[[[[],[],[[]]],[]]]]=>[[[[],[[[]],[],[]]]]]=>[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]
[[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>[[[[[],[[]],[]],[]]]]=>[[[[],[[],[[]],[]]]]]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[[[[[],[[],[]]],[]]]]=>[[[[],[[[],[]],[]]]]]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]
[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[[[[[],[[[]]]],[]]]]=>[[[[],[[[[]]],[]]]]]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[[[[[[]],[],[]],[]]]]=>[[[[],[[],[],[[]]]]]]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>[[[[[[]],[[]]],[]]]]=>[[[[],[[[]],[[]]]]]]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[[[[[[],[]],[]],[]]]]=>[[[[],[[],[[],[]]]]]]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[]]],[]],[]]]]=>[[[[],[[],[[[]]]]]]]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>[[[[[[],[],[]]],[]]]]=>[[[[],[[[],[],[]]]]]]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]
[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>[[[[[[],[[]]]],[]]]]=>[[[[],[[[[]],[]]]]]]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[[[[[[[]],[]]],[]]]]=>[[[[],[[[],[[]]]]]]]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[[[[[[[],[]]]],[]]]]=>[[[[],[[[[],[]]]]]]]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[[[[[[[[]]]]],[]]]]=>[[[[],[[[[[]]]]]]]]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[[[[[],[],[],[],[]]]]]=>[[[[[],[],[],[],[]]]]]=>[.,[.,[.,[[[[[.,.],.],.],.],.]]]]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[[[[[],[],[],[[]]]]]]=>[[[[[[]],[],[],[]]]]]=>[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[[[[[],[],[[]],[]]]]]=>[[[[[],[[]],[],[]]]]]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[[[[[],[],[[],[]]]]]]=>[[[[[[],[]],[],[]]]]]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[[[[[],[],[[[]]]]]]]=>[[[[[[[]]],[],[]]]]]=>[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[[[[[],[[]],[],[]]]]]=>[[[[[],[],[[]],[]]]]]=>[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]
[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[[[[[],[[]],[[]]]]]]=>[[[[[[]],[[]],[]]]]]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[[[[[],[[],[]],[]]]]]=>[[[[[],[[],[]],[]]]]]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[[[[[],[[[]]],[]]]]]=>[[[[[],[[[]]],[]]]]]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[[[[[],[[],[],[]]]]]]=>[[[[[[],[],[]],[]]]]]=>[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]
[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[[[[[],[[],[[]]]]]]]=>[[[[[[[]],[]],[]]]]]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[[[[[],[[[]],[]]]]]]=>[[[[[[],[[]]],[]]]]]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[[[[[],[[[],[]]]]]]]=>[[[[[[[],[]]],[]]]]]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[[[[.,[[[[.,.],.],.],.]],.],.],.]=>[[[[[],[[[[]]]]]]]]=>[[[[[[[[]]]],[]]]]]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[[[[[[]],[],[],[]]]]]=>[[[[[],[],[],[[]]]]]]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[[[[[.,.],[.,[[.,.],.]]],.],.],.]=>[[[[[[]],[],[[]]]]]]=>[[[[[[]],[],[[]]]]]]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[[[[[[]],[[]],[]]]]]=>[[[[[],[[]],[[]]]]]]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>[[[[[[]],[[],[]]]]]]=>[[[[[[],[]],[[]]]]]]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[[[[[.,.],[[[.,.],.],.]],.],.],.]=>[[[[[[]],[[[]]]]]]]=>[[[[[[[]]],[[]]]]]]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[[[[[[],[]],[],[]]]]]=>[[[[[],[],[[],[]]]]]]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>[[[[[[],[]],[[]]]]]]=>[[[[[[]],[[],[]]]]]]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[[[[[[[]]],[],[]]]]]=>[[[[[],[],[[[]]]]]]]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[[[[[[[]]],[[]]]]]]=>[[[[[[]],[[[]]]]]]]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[[[[[[],[],[]],[]]]]]=>[[[[[],[[],[],[]]]]]]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>[[[[[[],[[]]],[]]]]]=>[[[[[],[[[]],[]]]]]]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[[[[[[[]],[]],[]]]]]=>[[[[[],[[],[[]]]]]]]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[[[[[[[],[]]],[]]]]]=>[[[[[],[[[],[]]]]]]]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[[[[[[[[]]]],[]]]]]=>[[[[[],[[[[]]]]]]]]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[[[[[[],[],[],[]]]]]]=>[[[[[[],[],[],[]]]]]]=>[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]
[[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[[[[[[],[],[[]]]]]]]=>[[[[[[[]],[],[]]]]]]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[[[[[[],[[]],[]]]]]]=>[[[[[[],[[]],[]]]]]]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[[[[[[],[[],[]]]]]]]=>[[[[[[[],[]],[]]]]]]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[[[[[.,[[[.,.],.],.]],.],.],.],.]=>[[[[[[],[[[]]]]]]]]=>[[[[[[[[]]],[]]]]]]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[[[[[[[]],[],[]]]]]]=>[[[[[[],[],[[]]]]]]]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[[[[[[[]],[[]]]]]]]=>[[[[[[[]],[[]]]]]]]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[[[[[[[],[]],[]]]]]]=>[[[[[[],[[],[]]]]]]]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[[[[[[[[]]],[]]]]]]=>[[[[[[],[[[]]]]]]]]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[[[[[[[],[],[]]]]]]]=>[[[[[[[],[],[]]]]]]]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[[[[[[.,[[.,.],.]],.],.],.],.],.]=>[[[[[[[],[[]]]]]]]]=>[[[[[[[[]],[]]]]]]]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[[[[[[[[]],[]]]]]]]=>[[[[[[[],[[]]]]]]]]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[[[[[[[.,[.,.]],.],.],.],.],.],.]=>[[[[[[[[],[]]]]]]]]=>[[[[[[[[],[]]]]]]]]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[[[[[[[[.,.],.],.],.],.],.],.],.]=>[[[[[[[[[]]]]]]]]]=>[[[[[[[[[]]]]]]]]]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
          
Map
to ordered tree: right child = right brother
Description
Return an ordered tree of size $n+1$ by the following recursive rule:
if $x$ is the right child of $y$, $x$ becomes the right brother of $y$,
if $x$ is the left child of $y$, $x$ becomes the first child of $y$.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.
Map
to binary tree: left brother = left child
Description
Return a binary tree of size $n-1$ (where $n$ is the size of $t$, and where $t$ is an ordered tree) by the following recursive rule:
- if $x$ is the left brother of $y$ in $t$, then $x$ becomes the left child of $y$;
- if $x$ is the last child of $y$ in $t$, then $x$ becomes the right child of $y$,
and removing the root of $t$.