Identifier
Mp00069:
Permutations
—complement⟶
Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00015: Binary trees —to ordered tree: right child = right brother⟶ Ordered trees
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00015: Binary trees —to ordered tree: right child = right brother⟶ Ordered trees
Images
=>
Cc0010;cc-rep-2Cc0021;cc-rep-3
[1]=>[1]=>[.,.]=>[[]]
[1,2]=>[2,1]=>[[.,.],.]=>[[[]]]
[2,1]=>[1,2]=>[.,[.,.]]=>[[],[]]
[1,2,3]=>[3,2,1]=>[[[.,.],.],.]=>[[[[]]]]
[1,3,2]=>[3,1,2]=>[[.,[.,.]],.]=>[[[],[]]]
[2,1,3]=>[2,3,1]=>[[.,.],[.,.]]=>[[[]],[]]
[2,3,1]=>[2,1,3]=>[[.,.],[.,.]]=>[[[]],[]]
[3,1,2]=>[1,3,2]=>[.,[[.,.],.]]=>[[],[[]]]
[3,2,1]=>[1,2,3]=>[.,[.,[.,.]]]=>[[],[],[]]
[1,2,3,4]=>[4,3,2,1]=>[[[[.,.],.],.],.]=>[[[[[]]]]]
[1,2,4,3]=>[4,3,1,2]=>[[[.,[.,.]],.],.]=>[[[[],[]]]]
[1,3,2,4]=>[4,2,3,1]=>[[[.,.],[.,.]],.]=>[[[[]],[]]]
[1,3,4,2]=>[4,2,1,3]=>[[[.,.],[.,.]],.]=>[[[[]],[]]]
[1,4,2,3]=>[4,1,3,2]=>[[.,[[.,.],.]],.]=>[[[],[[]]]]
[1,4,3,2]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]=>[[[],[],[]]]
[2,1,3,4]=>[3,4,2,1]=>[[[.,.],.],[.,.]]=>[[[[]]],[]]
[2,1,4,3]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]=>[[[],[]],[]]
[2,3,1,4]=>[3,2,4,1]=>[[[.,.],.],[.,.]]=>[[[[]]],[]]
[2,3,4,1]=>[3,2,1,4]=>[[[.,.],.],[.,.]]=>[[[[]]],[]]
[2,4,1,3]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]=>[[[],[]],[]]
[2,4,3,1]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]=>[[[],[]],[]]
[3,1,2,4]=>[2,4,3,1]=>[[.,.],[[.,.],.]]=>[[[]],[[]]]
[3,1,4,2]=>[2,4,1,3]=>[[.,.],[[.,.],.]]=>[[[]],[[]]]
[3,2,1,4]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]=>[[[]],[],[]]
[3,2,4,1]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]=>[[[]],[],[]]
[3,4,1,2]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[[]],[[]]]
[3,4,2,1]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[]],[],[]]
[4,1,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[],[[[]]]]
[4,1,3,2]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]=>[[],[[],[]]]
[4,2,1,3]=>[1,3,4,2]=>[.,[[.,.],[.,.]]]=>[[],[[]],[]]
[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[],[[]],[]]
[4,3,1,2]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[],[],[[]]]
[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[],[],[],[]]
[1,2,3,4,5]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]=>[[[[[[]]]]]]
[1,2,3,5,4]=>[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]=>[[[[[],[]]]]]
[1,2,4,3,5]=>[5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]=>[[[[[]],[]]]]
[1,2,4,5,3]=>[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]=>[[[[[]],[]]]]
[1,2,5,3,4]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]=>[[[[],[[]]]]]
[1,2,5,4,3]=>[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]=>[[[[],[],[]]]]
[1,3,2,4,5]=>[5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]=>[[[[[]]],[]]]
[1,3,2,5,4]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]=>[[[[],[]],[]]]
[1,3,4,2,5]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]=>[[[[[]]],[]]]
[1,3,4,5,2]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]=>[[[[[]]],[]]]
[1,3,5,2,4]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]=>[[[[],[]],[]]]
[1,3,5,4,2]=>[5,3,1,2,4]=>[[[.,[.,.]],[.,.]],.]=>[[[[],[]],[]]]
[1,4,2,3,5]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]=>[[[[]],[[]]]]
[1,4,2,5,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]=>[[[[]],[[]]]]
[1,4,3,2,5]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]=>[[[[]],[],[]]]
[1,4,3,5,2]=>[5,2,3,1,4]=>[[[.,.],[.,[.,.]]],.]=>[[[[]],[],[]]]
[1,4,5,2,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]=>[[[[]],[[]]]]
[1,4,5,3,2]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]=>[[[[]],[],[]]]
[1,5,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]=>[[[],[[[]]]]]
[1,5,2,4,3]=>[5,1,4,2,3]=>[[.,[[.,[.,.]],.]],.]=>[[[],[[],[]]]]
[1,5,3,2,4]=>[5,1,3,4,2]=>[[.,[[.,.],[.,.]]],.]=>[[[],[[]],[]]]
[1,5,3,4,2]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]=>[[[],[[]],[]]]
[1,5,4,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]=>[[[],[],[[]]]]
[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]=>[[[],[],[],[]]]
[2,1,3,4,5]=>[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]=>[[[[[]]]],[]]
[2,1,3,5,4]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]=>[[[[],[]]],[]]
[2,1,4,3,5]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]=>[[[[]],[]],[]]
[2,1,4,5,3]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]=>[[[[]],[]],[]]
[2,1,5,3,4]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]=>[[[],[[]]],[]]
[2,1,5,4,3]=>[4,5,1,2,3]=>[[.,[.,[.,.]]],[.,.]]=>[[[],[],[]],[]]
[2,3,1,4,5]=>[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]=>[[[[[]]]],[]]
[2,3,1,5,4]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]=>[[[[],[]]],[]]
[2,3,4,1,5]=>[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]=>[[[[[]]]],[]]
[2,3,4,5,1]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]=>[[[[[]]]],[]]
[2,3,5,1,4]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]=>[[[[],[]]],[]]
[2,3,5,4,1]=>[4,3,1,2,5]=>[[[.,[.,.]],.],[.,.]]=>[[[[],[]]],[]]
[2,4,1,3,5]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]=>[[[[]],[]],[]]
[2,4,1,5,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]=>[[[[]],[]],[]]
[2,4,3,1,5]=>[4,2,3,5,1]=>[[[.,.],[.,.]],[.,.]]=>[[[[]],[]],[]]
[2,4,3,5,1]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]=>[[[[]],[]],[]]
[2,4,5,1,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]=>[[[[]],[]],[]]
[2,4,5,3,1]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]=>[[[[]],[]],[]]
[2,5,1,3,4]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]=>[[[],[[]]],[]]
[2,5,1,4,3]=>[4,1,5,2,3]=>[[.,[.,[.,.]]],[.,.]]=>[[[],[],[]],[]]
[2,5,3,1,4]=>[4,1,3,5,2]=>[[.,[[.,.],.]],[.,.]]=>[[[],[[]]],[]]
[2,5,3,4,1]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]=>[[[],[[]]],[]]
[2,5,4,1,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]=>[[[],[],[]],[]]
[2,5,4,3,1]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]=>[[[],[],[]],[]]
[3,1,2,4,5]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]=>[[[[]]],[[]]]
[3,1,2,5,4]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]=>[[[],[]],[[]]]
[3,1,4,2,5]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]=>[[[[]]],[[]]]
[3,1,4,5,2]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]=>[[[[]]],[[]]]
[3,1,5,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]=>[[[],[]],[[]]]
[3,1,5,4,2]=>[3,5,1,2,4]=>[[.,[.,.]],[[.,.],.]]=>[[[],[]],[[]]]
[3,2,1,4,5]=>[3,4,5,2,1]=>[[[.,.],.],[.,[.,.]]]=>[[[[]]],[],[]]
[3,2,1,5,4]=>[3,4,5,1,2]=>[[.,[.,.]],[.,[.,.]]]=>[[[],[]],[],[]]
[3,2,4,1,5]=>[3,4,2,5,1]=>[[[.,.],.],[.,[.,.]]]=>[[[[]]],[],[]]
[3,2,4,5,1]=>[3,4,2,1,5]=>[[[.,.],.],[.,[.,.]]]=>[[[[]]],[],[]]
[3,2,5,1,4]=>[3,4,1,5,2]=>[[.,[.,.]],[.,[.,.]]]=>[[[],[]],[],[]]
[3,2,5,4,1]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>[[[],[]],[],[]]
[3,4,1,2,5]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]=>[[[[]]],[[]]]
[3,4,1,5,2]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]=>[[[[]]],[[]]]
[3,4,2,1,5]=>[3,2,4,5,1]=>[[[.,.],.],[.,[.,.]]]=>[[[[]]],[],[]]
[3,4,2,5,1]=>[3,2,4,1,5]=>[[[.,.],.],[.,[.,.]]]=>[[[[]]],[],[]]
[3,4,5,1,2]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]=>[[[[]]],[[]]]
[3,4,5,2,1]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]=>[[[[]]],[],[]]
[3,5,1,2,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]=>[[[],[]],[[]]]
[3,5,1,4,2]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]=>[[[],[]],[[]]]
[3,5,2,1,4]=>[3,1,4,5,2]=>[[.,[.,.]],[.,[.,.]]]=>[[[],[]],[],[]]
[3,5,2,4,1]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]=>[[[],[]],[],[]]
[3,5,4,1,2]=>[3,1,2,5,4]=>[[.,[.,.]],[[.,.],.]]=>[[[],[]],[[]]]
[3,5,4,2,1]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]=>[[[],[]],[],[]]
[4,1,2,3,5]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]=>[[[]],[[[]]]]
[4,1,2,5,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]=>[[[]],[[[]]]]
[4,1,3,2,5]=>[2,5,3,4,1]=>[[.,.],[[.,[.,.]],.]]=>[[[]],[[],[]]]
[4,1,3,5,2]=>[2,5,3,1,4]=>[[.,.],[[.,[.,.]],.]]=>[[[]],[[],[]]]
[4,1,5,2,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]=>[[[]],[[[]]]]
[4,1,5,3,2]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]=>[[[]],[[],[]]]
[4,2,1,3,5]=>[2,4,5,3,1]=>[[.,.],[[.,.],[.,.]]]=>[[[]],[[]],[]]
[4,2,1,5,3]=>[2,4,5,1,3]=>[[.,.],[[.,.],[.,.]]]=>[[[]],[[]],[]]
[4,2,3,1,5]=>[2,4,3,5,1]=>[[.,.],[[.,.],[.,.]]]=>[[[]],[[]],[]]
[4,2,3,5,1]=>[2,4,3,1,5]=>[[.,.],[[.,.],[.,.]]]=>[[[]],[[]],[]]
[4,2,5,1,3]=>[2,4,1,5,3]=>[[.,.],[[.,.],[.,.]]]=>[[[]],[[]],[]]
[4,2,5,3,1]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]=>[[[]],[[]],[]]
[4,3,1,2,5]=>[2,3,5,4,1]=>[[.,.],[.,[[.,.],.]]]=>[[[]],[],[[]]]
[4,3,1,5,2]=>[2,3,5,1,4]=>[[.,.],[.,[[.,.],.]]]=>[[[]],[],[[]]]
[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,.],[.,[.,[.,.]]]]=>[[[]],[],[],[]]
[4,3,2,5,1]=>[2,3,4,1,5]=>[[.,.],[.,[.,[.,.]]]]=>[[[]],[],[],[]]
[4,3,5,1,2]=>[2,3,1,5,4]=>[[.,.],[.,[[.,.],.]]]=>[[[]],[],[[]]]
[4,3,5,2,1]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]=>[[[]],[],[],[]]
[4,5,1,2,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]=>[[[]],[[[]]]]
[4,5,1,3,2]=>[2,1,5,3,4]=>[[.,.],[[.,[.,.]],.]]=>[[[]],[[],[]]]
[4,5,2,1,3]=>[2,1,4,5,3]=>[[.,.],[[.,.],[.,.]]]=>[[[]],[[]],[]]
[4,5,2,3,1]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]=>[[[]],[[]],[]]
[4,5,3,1,2]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]=>[[[]],[],[[]]]
[4,5,3,2,1]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]=>[[[]],[],[],[]]
[5,1,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]=>[[],[[[[]]]]]
[5,1,2,4,3]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]=>[[],[[[],[]]]]
[5,1,3,2,4]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]=>[[],[[[]],[]]]
[5,1,3,4,2]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]=>[[],[[[]],[]]]
[5,1,4,2,3]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[[],[[],[[]]]]
[5,1,4,3,2]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[[],[[],[],[]]]
[5,2,1,3,4]=>[1,4,5,3,2]=>[.,[[[.,.],.],[.,.]]]=>[[],[[[]]],[]]
[5,2,1,4,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[[],[[],[]],[]]
[5,2,3,1,4]=>[1,4,3,5,2]=>[.,[[[.,.],.],[.,.]]]=>[[],[[[]]],[]]
[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]=>[[],[[[]]],[]]
[5,2,4,1,3]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[[],[[],[]],[]]
[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[[],[[],[]],[]]
[5,3,1,2,4]=>[1,3,5,4,2]=>[.,[[.,.],[[.,.],.]]]=>[[],[[]],[[]]]
[5,3,1,4,2]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[[],[[]],[[]]]
[5,3,2,1,4]=>[1,3,4,5,2]=>[.,[[.,.],[.,[.,.]]]]=>[[],[[]],[],[]]
[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>[[],[[]],[],[]]
[5,3,4,1,2]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[[],[[]],[[]]]
[5,3,4,2,1]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[],[[]],[],[]]
[5,4,1,2,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>[[],[],[[[]]]]
[5,4,1,3,2]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[[],[],[[],[]]]
[5,4,2,1,3]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>[[],[],[[]],[]]
[5,4,2,3,1]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[],[],[[]],[]]
[5,4,3,1,2]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[],[],[],[[]]]
[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[],[],[],[],[]]
[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]=>[[[[[[[]]]]]]]
[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],.]=>[[[[[[],[]]]]]]
[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],.]=>[[[[[[]],[]]]]]
[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],.]=>[[[[[[]],[]]]]]
[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],.]=>[[[[[],[[]]]]]]
[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],.]=>[[[[[],[],[]]]]]
[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>[[[[[[]]],[]]]]
[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],.]=>[[[[[],[]],[]]]]
[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],.]=>[[[[[[]]],[]]]]
[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],.]=>[[[[[[]]],[]]]]
[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]=>[[[[[],[]],[]]]]
[1,2,4,6,5,3]=>[6,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],.]=>[[[[[],[]],[]]]]
[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],.]=>[[[[[]],[[]]]]]
[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],.]=>[[[[[]],[[]]]]]
[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],.]=>[[[[[]],[],[]]]]
[1,2,5,4,6,3]=>[6,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],.]=>[[[[[]],[],[]]]]
[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]=>[[[[[]],[[]]]]]
[1,2,5,6,4,3]=>[6,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],.]=>[[[[[]],[],[]]]]
[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]=>[[[[],[[[]]]]]]
[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],.]=>[[[[],[[],[]]]]]
[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],.]=>[[[[],[[]],[]]]]
[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],.]=>[[[[],[[]],[]]]]
[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],.]=>[[[[],[],[[]]]]]
[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],.]=>[[[[],[],[],[]]]]
[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],.]=>[[[[[[]]]],[]]]
[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]=>[[[[[],[]]],[]]]
[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]
[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]
[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]=>[[[[],[[]]],[]]]
[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>[[[[],[],[]],[]]]
[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],.]=>[[[[[[]]]],[]]]
[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],.]=>[[[[[],[]]],[]]]
[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]=>[[[[[[]]]],[]]]
[1,3,4,5,6,2]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]=>[[[[[[]]]],[]]]
[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]=>[[[[[],[]]],[]]]
[1,3,4,6,5,2]=>[6,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],.]=>[[[[[],[]]],[]]]
[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]
[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]
[1,3,5,4,2,6]=>[6,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]
[1,3,5,4,6,2]=>[6,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]
[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]
[1,3,5,6,4,2]=>[6,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]
[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]=>[[[[],[[]]],[]]]
[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>[[[[],[],[]],[]]]
[1,3,6,4,2,5]=>[6,4,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],.]=>[[[[],[[]]],[]]]
[1,3,6,4,5,2]=>[6,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],.]=>[[[[],[[]]],[]]]
[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>[[[[],[],[]],[]]]
[1,3,6,5,4,2]=>[6,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],.]=>[[[[],[],[]],[]]]
[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]=>[[[[[]]],[[]]]]
[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]=>[[[[],[]],[[]]]]
[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>[[[[[]]],[[]]]]
[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]=>[[[[[]]],[[]]]]
[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]=>[[[[],[]],[[]]]]
[1,4,2,6,5,3]=>[6,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],.]=>[[[[],[]],[[]]]]
[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[[[[[]]],[],[]]]
[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],.]=>[[[[],[]],[],[]]]
[1,4,3,5,2,6]=>[6,3,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[[[[[]]],[],[]]]
[1,4,3,5,6,2]=>[6,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],.]=>[[[[[]]],[],[]]]
[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],.]=>[[[[],[]],[],[]]]
[1,4,3,6,5,2]=>[6,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],.]=>[[[[],[]],[],[]]]
[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>[[[[[]]],[[]]]]
[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],.]=>[[[[[]]],[[]]]]
[1,4,5,3,2,6]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[[[[[]]],[],[]]]
[1,4,5,3,6,2]=>[6,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],.]=>[[[[[]]],[],[]]]
[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]=>[[[[[]]],[[]]]]
[1,4,5,6,3,2]=>[6,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],.]=>[[[[[]]],[],[]]]
[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]=>[[[[],[]],[[]]]]
[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],.]=>[[[[],[]],[[]]]]
[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],.]=>[[[[],[]],[],[]]]
[1,4,6,3,5,2]=>[6,3,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],.]=>[[[[],[]],[],[]]]
[1,4,6,5,2,3]=>[6,3,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],.]=>[[[[],[]],[[]]]]
[1,4,6,5,3,2]=>[6,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],.]=>[[[[],[]],[],[]]]
[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[[[[]],[[[]]]]]
[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]=>[[[[]],[[[]]]]]
[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[[[[]],[[],[]]]]
[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],.]=>[[[[]],[[],[]]]]
[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]=>[[[[]],[[[]]]]]
[1,5,2,6,4,3]=>[6,2,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],.]=>[[[[]],[[],[]]]]
[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]
[1,5,3,2,6,4]=>[6,2,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]
[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]
[1,5,3,4,6,2]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]
[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]
[1,5,3,6,4,2]=>[6,2,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]
[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[[[[]],[],[[]]]]
[1,5,4,2,6,3]=>[6,2,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],.]=>[[[[]],[],[[]]]]
[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[[[[]],[],[],[]]]
[1,5,4,3,6,2]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],.]=>[[[[]],[],[],[]]]
[1,5,4,6,2,3]=>[6,2,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],.]=>[[[[]],[],[[]]]]
[1,5,4,6,3,2]=>[6,2,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]=>[[[[]],[],[],[]]]
[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]=>[[[[]],[[[]]]]]
[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],.]=>[[[[]],[[],[]]]]
[1,5,6,3,2,4]=>[6,2,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]
[1,5,6,3,4,2]=>[6,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]
[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]=>[[[[]],[],[[]]]]
[1,5,6,4,3,2]=>[6,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]=>[[[[]],[],[],[]]]
[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]=>[[[],[[[[]]]]]]
[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],.]=>[[[],[[[],[]]]]]
[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],.]=>[[[],[[[]],[]]]]
[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],.]=>[[[],[[[]],[]]]]
[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],.]=>[[[],[[],[[]]]]]
[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],.]=>[[[],[[],[],[]]]]
[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],.]=>[[[],[[[]]],[]]]
[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],.]=>[[[],[[],[]],[]]]
[1,6,3,4,2,5]=>[6,1,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],.]=>[[[],[[[]]],[]]]
[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],.]=>[[[],[[[]]],[]]]
[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],.]=>[[[],[[],[]],[]]]
[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],.]=>[[[],[[],[]],[]]]
[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],.]=>[[[],[[]],[[]]]]
[1,6,4,2,5,3]=>[6,1,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],.]=>[[[],[[]],[[]]]]
[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],.]=>[[[],[[]],[],[]]]
[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],.]=>[[[],[[]],[],[]]]
[1,6,4,5,2,3]=>[6,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],.]=>[[[],[[]],[[]]]]
[1,6,4,5,3,2]=>[6,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],.]=>[[[],[[]],[],[]]]
[1,6,5,2,3,4]=>[6,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],.]=>[[[],[],[[[]]]]]
[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],.]=>[[[],[],[[],[]]]]
[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]=>[[[],[],[[]],[]]]
[1,6,5,3,4,2]=>[6,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],.]=>[[[],[],[[]],[]]]
[1,6,5,4,2,3]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]=>[[[],[],[],[[]]]]
[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]=>[[[],[],[],[],[]]]
[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]=>[[[[[[]]]]],[]]
[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>[[[[[],[]]]],[]]
[2,1,3,5,4,6]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]
[2,1,3,5,6,4]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]
[2,1,3,6,4,5]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[[[],[[]]]],[]]
[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[[[],[],[]]],[]]
[2,1,4,3,5,6]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]
[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]
[2,1,4,5,3,6]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]
[2,1,4,5,6,3]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]
[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]
[2,1,4,6,5,3]=>[5,6,3,1,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]
[2,1,5,3,4,6]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]
[2,1,5,3,6,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]
[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]
[2,1,5,4,6,3]=>[5,6,2,3,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]
[2,1,5,6,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]
[2,1,5,6,4,3]=>[5,6,2,1,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]
[2,1,6,3,4,5]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]=>[[[],[[[]]]],[]]
[2,1,6,3,5,4]=>[5,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[[],[[],[]]],[]]
[2,1,6,4,3,5]=>[5,6,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]
[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]
[2,1,6,5,3,4]=>[5,6,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>[[[],[],[[]]],[]]
[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>[[[],[],[],[]],[]]
[2,3,1,4,5,6]=>[5,4,6,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]=>[[[[[[]]]]],[]]
[2,3,1,4,6,5]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>[[[[[],[]]]],[]]
[2,3,1,5,4,6]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]
[2,3,1,5,6,4]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]
[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[[[],[[]]]],[]]
[2,3,1,6,5,4]=>[5,4,6,1,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[[[],[],[]]],[]]
[2,3,4,1,5,6]=>[5,4,3,6,2,1]=>[[[[[.,.],.],.],.],[.,.]]=>[[[[[[]]]]],[]]
[2,3,4,1,6,5]=>[5,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>[[[[[],[]]]],[]]
[2,3,4,5,1,6]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]=>[[[[[[]]]]],[]]
[2,3,4,5,6,1]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]=>[[[[[[]]]]],[]]
[2,3,4,6,1,5]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]=>[[[[[],[]]]],[]]
[2,3,4,6,5,1]=>[5,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[.,.]]=>[[[[[],[]]]],[]]
[2,3,5,1,4,6]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]
[2,3,5,1,6,4]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]
[2,3,5,4,1,6]=>[5,4,2,3,6,1]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]
[2,3,5,4,6,1]=>[5,4,2,3,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]
[2,3,5,6,1,4]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]
[2,3,5,6,4,1]=>[5,4,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]
[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[[[],[[]]]],[]]
[2,3,6,1,5,4]=>[5,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[[[],[],[]]],[]]
[2,3,6,4,1,5]=>[5,4,1,3,6,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[[[],[[]]]],[]]
[2,3,6,4,5,1]=>[5,4,1,3,2,6]=>[[[.,[[.,.],.]],.],[.,.]]=>[[[[],[[]]]],[]]
[2,3,6,5,1,4]=>[5,4,1,2,6,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[[[],[],[]]],[]]
[2,3,6,5,4,1]=>[5,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[[[],[],[]]],[]]
[2,4,1,3,5,6]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]
[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]
[2,4,1,5,3,6]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]
[2,4,1,5,6,3]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]
[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]
[2,4,1,6,5,3]=>[5,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]
[2,4,3,1,5,6]=>[5,3,4,6,2,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]
[2,4,3,1,6,5]=>[5,3,4,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]
[2,4,3,5,1,6]=>[5,3,4,2,6,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]
[2,4,3,5,6,1]=>[5,3,4,2,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]
[2,4,3,6,1,5]=>[5,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]
[2,4,3,6,5,1]=>[5,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]
[2,4,5,1,3,6]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]
[2,4,5,1,6,3]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]
[2,4,5,3,1,6]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]
[2,4,5,3,6,1]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]
[2,4,5,6,1,3]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]
[2,4,5,6,3,1]=>[5,3,2,1,4,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]
[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]
[2,4,6,1,5,3]=>[5,3,1,6,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]
[2,4,6,3,1,5]=>[5,3,1,4,6,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]
[2,4,6,3,5,1]=>[5,3,1,4,2,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]
[2,4,6,5,1,3]=>[5,3,1,2,6,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]
[2,4,6,5,3,1]=>[5,3,1,2,4,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]
[2,5,1,3,4,6]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]
[2,5,1,3,6,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]
[2,5,1,4,3,6]=>[5,2,6,3,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]
[2,5,1,4,6,3]=>[5,2,6,3,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]
[2,5,1,6,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]
[2,5,1,6,4,3]=>[5,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]
[2,5,3,1,4,6]=>[5,2,4,6,3,1]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]
[2,5,3,1,6,4]=>[5,2,4,6,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]
[2,5,3,4,1,6]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]
[2,5,3,4,6,1]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]
[2,5,3,6,1,4]=>[5,2,4,1,6,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]
[2,5,3,6,4,1]=>[5,2,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]
[2,5,4,1,3,6]=>[5,2,3,6,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]
[2,5,4,1,6,3]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]
[2,5,4,3,1,6]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]
[2,5,4,3,6,1]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]
[2,5,4,6,1,3]=>[5,2,3,1,6,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]
[2,5,4,6,3,1]=>[5,2,3,1,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]
[2,5,6,1,3,4]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]
[2,5,6,1,4,3]=>[5,2,1,6,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]
[2,5,6,3,1,4]=>[5,2,1,4,6,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]
[2,5,6,3,4,1]=>[5,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]
[2,5,6,4,1,3]=>[5,2,1,3,6,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]
[2,5,6,4,3,1]=>[5,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]
[2,6,1,3,4,5]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]=>[[[],[[[]]]],[]]
[2,6,1,3,5,4]=>[5,1,6,4,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[[],[[],[]]],[]]
[2,6,1,4,3,5]=>[5,1,6,3,4,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]
[2,6,1,4,5,3]=>[5,1,6,3,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]
[2,6,1,5,3,4]=>[5,1,6,2,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>[[[],[],[[]]],[]]
[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>[[[],[],[],[]],[]]
[2,6,3,1,4,5]=>[5,1,4,6,3,2]=>[[.,[[[.,.],.],.]],[.,.]]=>[[[],[[[]]]],[]]
[2,6,3,1,5,4]=>[5,1,4,6,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[[],[[],[]]],[]]
[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[[.,[[[.,.],.],.]],[.,.]]=>[[[],[[[]]]],[]]
[2,6,3,4,5,1]=>[5,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[.,.]]=>[[[],[[[]]]],[]]
[2,6,3,5,1,4]=>[5,1,4,2,6,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[[],[[],[]]],[]]
[2,6,3,5,4,1]=>[5,1,4,2,3,6]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[[],[[],[]]],[]]
[2,6,4,1,3,5]=>[5,1,3,6,4,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]
[2,6,4,1,5,3]=>[5,1,3,6,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]
[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]
[2,6,4,3,5,1]=>[5,1,3,4,2,6]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]
[2,6,4,5,1,3]=>[5,1,3,2,6,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]
[2,6,4,5,3,1]=>[5,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]
[2,6,5,1,3,4]=>[5,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>[[[],[],[[]]],[]]
[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>[[[],[],[],[]],[]]
[2,6,5,3,1,4]=>[5,1,2,4,6,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>[[[],[],[[]]],[]]
[2,6,5,3,4,1]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]=>[[[],[],[[]]],[]]
[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>[[[],[],[],[]],[]]
[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[.,.]]=>[[[],[],[],[]],[]]
[3,1,2,4,5,6]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]
[3,1,2,4,6,5]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]
[3,1,2,5,4,6]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,1,2,6,4,5]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]
[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]
[3,1,4,2,5,6]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]
[3,1,4,2,6,5]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]
[3,1,4,5,2,6]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]
[3,1,4,5,6,2]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]
[3,1,4,6,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]
[3,1,4,6,5,2]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]
[3,1,5,2,4,6]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,1,5,4,2,6]=>[4,6,2,3,5,1]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,1,5,4,6,2]=>[4,6,2,3,1,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,1,5,6,2,4]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,1,5,6,4,2]=>[4,6,2,1,3,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,1,6,2,4,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]
[3,1,6,2,5,4]=>[4,6,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]
[3,1,6,4,2,5]=>[4,6,1,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]
[3,1,6,4,5,2]=>[4,6,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]
[3,1,6,5,2,4]=>[4,6,1,2,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]
[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]
[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]
[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]
[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,2,1,5,6,4]=>[4,5,6,2,1,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,2,1,6,4,5]=>[4,5,6,1,3,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]
[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]
[3,2,4,1,5,6]=>[4,5,3,6,2,1]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]
[3,2,4,1,6,5]=>[4,5,3,6,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]
[3,2,4,5,1,6]=>[4,5,3,2,6,1]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]
[3,2,4,5,6,1]=>[4,5,3,2,1,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]
[3,2,4,6,1,5]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]
[3,2,4,6,5,1]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]
[3,2,5,1,4,6]=>[4,5,2,6,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,2,5,1,6,4]=>[4,5,2,6,1,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,2,5,4,1,6]=>[4,5,2,3,6,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,2,5,4,6,1]=>[4,5,2,3,1,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,2,5,6,1,4]=>[4,5,2,1,6,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,2,5,6,4,1]=>[4,5,2,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,2,6,1,4,5]=>[4,5,1,6,3,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]
[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]
[3,2,6,4,1,5]=>[4,5,1,3,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]
[3,2,6,4,5,1]=>[4,5,1,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]
[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]
[3,2,6,5,4,1]=>[4,5,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]
[3,4,1,2,5,6]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]
[3,4,1,2,6,5]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]
[3,4,1,5,2,6]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]
[3,4,1,5,6,2]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]
[3,4,1,6,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]
[3,4,1,6,5,2]=>[4,3,6,1,2,5]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]
[3,4,2,1,5,6]=>[4,3,5,6,2,1]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]
[3,4,2,1,6,5]=>[4,3,5,6,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]
[3,4,2,5,1,6]=>[4,3,5,2,6,1]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]
[3,4,2,5,6,1]=>[4,3,5,2,1,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]
[3,4,2,6,1,5]=>[4,3,5,1,6,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]
[3,4,2,6,5,1]=>[4,3,5,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]
[3,4,5,1,2,6]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]
[3,4,5,1,6,2]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]
[3,4,5,2,1,6]=>[4,3,2,5,6,1]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]
[3,4,5,2,6,1]=>[4,3,2,5,1,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]
[3,4,5,6,1,2]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]
[3,4,5,6,2,1]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]
[3,4,6,1,2,5]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]
[3,4,6,1,5,2]=>[4,3,1,6,2,5]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]
[3,4,6,2,1,5]=>[4,3,1,5,6,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]
[3,4,6,2,5,1]=>[4,3,1,5,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]
[3,4,6,5,1,2]=>[4,3,1,2,6,5]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]
[3,4,6,5,2,1]=>[4,3,1,2,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]
[3,5,1,2,4,6]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,5,1,2,6,4]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,5,1,4,2,6]=>[4,2,6,3,5,1]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,5,1,4,6,2]=>[4,2,6,3,1,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,5,1,6,4,2]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,5,2,1,4,6]=>[4,2,5,6,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,5,2,1,6,4]=>[4,2,5,6,1,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,5,2,4,1,6]=>[4,2,5,3,6,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,5,2,4,6,1]=>[4,2,5,3,1,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,5,2,6,1,4]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,5,2,6,4,1]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,5,4,1,2,6]=>[4,2,3,6,5,1]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,5,4,1,6,2]=>[4,2,3,6,1,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,5,4,2,1,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,5,4,2,6,1]=>[4,2,3,5,1,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,5,4,6,1,2]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,5,4,6,2,1]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,5,6,1,4,2]=>[4,2,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,5,6,2,1,4]=>[4,2,1,5,6,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,5,6,2,4,1]=>[4,2,1,5,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,5,6,4,1,2]=>[4,2,1,3,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]
[3,5,6,4,2,1]=>[4,2,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]
[3,6,1,2,4,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]
[3,6,1,2,5,4]=>[4,1,6,5,2,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]
[3,6,1,4,2,5]=>[4,1,6,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]
[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]
[3,6,1,5,2,4]=>[4,1,6,2,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]
[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]
[3,6,2,1,4,5]=>[4,1,5,6,3,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]
[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]
[3,6,2,4,1,5]=>[4,1,5,3,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]
[3,6,2,4,5,1]=>[4,1,5,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]
[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]
[3,6,2,5,4,1]=>[4,1,5,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]
[3,6,4,1,2,5]=>[4,1,3,6,5,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]
[3,6,4,1,5,2]=>[4,1,3,6,2,5]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]
[3,6,4,2,1,5]=>[4,1,3,5,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]
[3,6,4,2,5,1]=>[4,1,3,5,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]
[3,6,4,5,1,2]=>[4,1,3,2,6,5]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]
[3,6,4,5,2,1]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]
[3,6,5,1,2,4]=>[4,1,2,6,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]
[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]
[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]
[3,6,5,2,4,1]=>[4,1,2,5,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]
[3,6,5,4,1,2]=>[4,1,2,3,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]
[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]
[4,1,2,3,5,6]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]
[4,1,2,3,6,5]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]
[4,1,2,5,3,6]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]
[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]
[4,1,2,6,3,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]
[4,1,2,6,5,3]=>[3,6,5,1,2,4]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]
[4,1,3,2,5,6]=>[3,6,4,5,2,1]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]
[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]
[4,1,3,5,2,6]=>[3,6,4,2,5,1]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]
[4,1,3,5,6,2]=>[3,6,4,2,1,5]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]
[4,1,3,6,2,5]=>[3,6,4,1,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]
[4,1,3,6,5,2]=>[3,6,4,1,2,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]
[4,1,5,2,3,6]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]
[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]
[4,1,5,3,2,6]=>[3,6,2,4,5,1]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]
[4,1,5,3,6,2]=>[3,6,2,4,1,5]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]
[4,1,5,6,2,3]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]
[4,1,5,6,3,2]=>[3,6,2,1,4,5]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]
[4,1,6,2,3,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]
[4,1,6,2,5,3]=>[3,6,1,5,2,4]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]
[4,1,6,3,2,5]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]
[4,1,6,3,5,2]=>[3,6,1,4,2,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]
[4,1,6,5,2,3]=>[3,6,1,2,5,4]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]
[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]
[4,2,1,3,5,6]=>[3,5,6,4,2,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,2,1,3,6,5]=>[3,5,6,4,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,2,1,5,3,6]=>[3,5,6,2,4,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,2,1,5,6,3]=>[3,5,6,2,1,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,2,1,6,3,5]=>[3,5,6,1,4,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,2,3,1,6,5]=>[3,5,4,6,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,2,3,5,1,6]=>[3,5,4,2,6,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,2,3,5,6,1]=>[3,5,4,2,1,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,2,3,6,1,5]=>[3,5,4,1,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,2,3,6,5,1]=>[3,5,4,1,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,2,5,1,3,6]=>[3,5,2,6,4,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,2,5,1,6,3]=>[3,5,2,6,1,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,2,5,3,1,6]=>[3,5,2,4,6,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,2,5,3,6,1]=>[3,5,2,4,1,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,2,5,6,1,3]=>[3,5,2,1,6,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,2,5,6,3,1]=>[3,5,2,1,4,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,2,6,1,3,5]=>[3,5,1,6,4,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,2,6,3,1,5]=>[3,5,1,4,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,2,6,3,5,1]=>[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,2,6,5,1,3]=>[3,5,1,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,2,6,5,3,1]=>[3,5,1,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,3,1,2,5,6]=>[3,4,6,5,2,1]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]
[4,3,1,2,6,5]=>[3,4,6,5,1,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]
[4,3,1,5,2,6]=>[3,4,6,2,5,1]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]
[4,3,1,5,6,2]=>[3,4,6,2,1,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]
[4,3,1,6,2,5]=>[3,4,6,1,5,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]
[4,3,1,6,5,2]=>[3,4,6,1,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]
[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]
[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]
[4,3,2,5,1,6]=>[3,4,5,2,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]
[4,3,2,5,6,1]=>[3,4,5,2,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]
[4,3,2,6,1,5]=>[3,4,5,1,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]
[4,3,2,6,5,1]=>[3,4,5,1,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]
[4,3,5,1,2,6]=>[3,4,2,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]
[4,3,5,1,6,2]=>[3,4,2,6,1,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]
[4,3,5,2,1,6]=>[3,4,2,5,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]
[4,3,5,2,6,1]=>[3,4,2,5,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]
[4,3,5,6,1,2]=>[3,4,2,1,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]
[4,3,5,6,2,1]=>[3,4,2,1,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]
[4,3,6,1,2,5]=>[3,4,1,6,5,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]
[4,3,6,1,5,2]=>[3,4,1,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]
[4,3,6,2,1,5]=>[3,4,1,5,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]
[4,3,6,2,5,1]=>[3,4,1,5,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]
[4,3,6,5,1,2]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]
[4,3,6,5,2,1]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]
[4,5,1,2,3,6]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]
[4,5,1,2,6,3]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]
[4,5,1,3,2,6]=>[3,2,6,4,5,1]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]
[4,5,1,3,6,2]=>[3,2,6,4,1,5]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]
[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]
[4,5,1,6,3,2]=>[3,2,6,1,4,5]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]
[4,5,2,1,3,6]=>[3,2,5,6,4,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,5,2,1,6,3]=>[3,2,5,6,1,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,5,2,3,1,6]=>[3,2,5,4,6,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,5,2,3,6,1]=>[3,2,5,4,1,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,5,2,6,1,3]=>[3,2,5,1,6,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,5,2,6,3,1]=>[3,2,5,1,4,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]
[4,5,3,1,6,2]=>[3,2,4,6,1,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]
[4,5,3,2,1,6]=>[3,2,4,5,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]
[4,5,3,2,6,1]=>[3,2,4,5,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]
[4,5,3,6,1,2]=>[3,2,4,1,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]
[4,5,3,6,2,1]=>[3,2,4,1,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]
[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]
[4,5,6,1,3,2]=>[3,2,1,6,4,5]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]
[4,5,6,2,1,3]=>[3,2,1,5,6,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,5,6,2,3,1]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]
[4,5,6,3,1,2]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]
[4,5,6,3,2,1]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]
[4,6,1,2,3,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]
[4,6,1,2,5,3]=>[3,1,6,5,2,4]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]
[4,6,1,3,2,5]=>[3,1,6,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]
[4,6,1,3,5,2]=>[3,1,6,4,2,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]
[4,6,1,5,2,3]=>[3,1,6,2,5,4]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]
[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]
[4,6,2,1,3,5]=>[3,1,5,6,4,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,6,2,1,5,3]=>[3,1,5,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,6,2,3,1,5]=>[3,1,5,4,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,6,2,3,5,1]=>[3,1,5,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,6,2,5,3,1]=>[3,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,6,3,1,2,5]=>[3,1,4,6,5,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]
[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]
[4,6,3,2,1,5]=>[3,1,4,5,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]
[4,6,3,2,5,1]=>[3,1,4,5,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]
[4,6,3,5,1,2]=>[3,1,4,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]
[4,6,3,5,2,1]=>[3,1,4,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]
[4,6,5,1,2,3]=>[3,1,2,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]
[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]
[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,6,5,2,3,1]=>[3,1,2,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]
[4,6,5,3,1,2]=>[3,1,2,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]
[4,6,5,3,2,1]=>[3,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]
[5,1,2,3,4,6]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]=>[[[]],[[[[]]]]]
[5,1,2,3,6,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]=>[[[]],[[[[]]]]]
[5,1,2,4,3,6]=>[2,6,5,3,4,1]=>[[.,.],[[[.,[.,.]],.],.]]=>[[[]],[[[],[]]]]
[5,1,2,4,6,3]=>[2,6,5,3,1,4]=>[[.,.],[[[.,[.,.]],.],.]]=>[[[]],[[[],[]]]]
[5,1,2,6,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]=>[[[]],[[[[]]]]]
[5,1,2,6,4,3]=>[2,6,5,1,3,4]=>[[.,.],[[[.,[.,.]],.],.]]=>[[[]],[[[],[]]]]
[5,1,3,2,4,6]=>[2,6,4,5,3,1]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]
[5,1,3,2,6,4]=>[2,6,4,5,1,3]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]
[5,1,3,4,2,6]=>[2,6,4,3,5,1]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]
[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]
[5,1,3,6,2,4]=>[2,6,4,1,5,3]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]
[5,1,3,6,4,2]=>[2,6,4,1,3,5]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]
[5,1,4,2,3,6]=>[2,6,3,5,4,1]=>[[.,.],[[.,[[.,.],.]],.]]=>[[[]],[[],[[]]]]
[5,1,4,2,6,3]=>[2,6,3,5,1,4]=>[[.,.],[[.,[[.,.],.]],.]]=>[[[]],[[],[[]]]]
[5,1,4,3,2,6]=>[2,6,3,4,5,1]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[[]],[[],[],[]]]
[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[[]],[[],[],[]]]
[5,1,4,6,2,3]=>[2,6,3,1,5,4]=>[[.,.],[[.,[[.,.],.]],.]]=>[[[]],[[],[[]]]]
[5,1,4,6,3,2]=>[2,6,3,1,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[[]],[[],[],[]]]
[5,1,6,2,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]=>[[[]],[[[[]]]]]
[5,1,6,2,4,3]=>[2,6,1,5,3,4]=>[[.,.],[[[.,[.,.]],.],.]]=>[[[]],[[[],[]]]]
[5,1,6,3,2,4]=>[2,6,1,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]
[5,1,6,3,4,2]=>[2,6,1,4,3,5]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]
[5,1,6,4,2,3]=>[2,6,1,3,5,4]=>[[.,.],[[.,[[.,.],.]],.]]=>[[[]],[[],[[]]]]
[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[[]],[[],[],[]]]
[5,2,1,3,4,6]=>[2,5,6,4,3,1]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]
[5,2,1,3,6,4]=>[2,5,6,4,1,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]
[5,2,1,4,3,6]=>[2,5,6,3,4,1]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]
[5,2,1,4,6,3]=>[2,5,6,3,1,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]
[5,2,1,6,3,4]=>[2,5,6,1,4,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]
[5,2,1,6,4,3]=>[2,5,6,1,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]
[5,2,3,1,4,6]=>[2,5,4,6,3,1]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]
[5,2,3,1,6,4]=>[2,5,4,6,1,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]
[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]
[5,2,3,4,6,1]=>[2,5,4,3,1,6]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]
[5,2,3,6,1,4]=>[2,5,4,1,6,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]
[5,2,3,6,4,1]=>[2,5,4,1,3,6]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]
[5,2,4,1,3,6]=>[2,5,3,6,4,1]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]
[5,2,4,1,6,3]=>[2,5,3,6,1,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]
[5,2,4,3,1,6]=>[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]
[5,2,4,3,6,1]=>[2,5,3,4,1,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]
[5,2,4,6,1,3]=>[2,5,3,1,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]
[5,2,4,6,3,1]=>[2,5,3,1,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]
[5,2,6,1,3,4]=>[2,5,1,6,4,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]
[5,2,6,1,4,3]=>[2,5,1,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]
[5,2,6,3,1,4]=>[2,5,1,4,6,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]
[5,2,6,3,4,1]=>[2,5,1,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]
[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]
[5,2,6,4,3,1]=>[2,5,1,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]
[5,3,1,2,4,6]=>[2,4,6,5,3,1]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]
[5,3,1,2,6,4]=>[2,4,6,5,1,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]
[5,3,1,4,2,6]=>[2,4,6,3,5,1]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]
[5,3,1,4,6,2]=>[2,4,6,3,1,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]
[5,3,1,6,2,4]=>[2,4,6,1,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]
[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]
[5,3,2,1,4,6]=>[2,4,5,6,3,1]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]
[5,3,2,1,6,4]=>[2,4,5,6,1,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]
[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]
[5,3,2,4,6,1]=>[2,4,5,3,1,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]
[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]
[5,3,2,6,4,1]=>[2,4,5,1,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]
[5,3,4,1,2,6]=>[2,4,3,6,5,1]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]
[5,3,4,1,6,2]=>[2,4,3,6,1,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]
[5,3,4,2,1,6]=>[2,4,3,5,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]
[5,3,4,2,6,1]=>[2,4,3,5,1,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]
[5,3,4,6,1,2]=>[2,4,3,1,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]
[5,3,4,6,2,1]=>[2,4,3,1,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]
[5,3,6,1,2,4]=>[2,4,1,6,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]
[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]
[5,3,6,2,1,4]=>[2,4,1,5,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]
[5,3,6,2,4,1]=>[2,4,1,5,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]
[5,3,6,4,1,2]=>[2,4,1,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]
[5,3,6,4,2,1]=>[2,4,1,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]
[5,4,1,2,3,6]=>[2,3,6,5,4,1]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[]],[],[[[]]]]
[5,4,1,2,6,3]=>[2,3,6,5,1,4]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[]],[],[[[]]]]
[5,4,1,3,2,6]=>[2,3,6,4,5,1]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[]],[],[[],[]]]
[5,4,1,3,6,2]=>[2,3,6,4,1,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[]],[],[[],[]]]
[5,4,1,6,2,3]=>[2,3,6,1,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[]],[],[[[]]]]
[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[]],[],[[],[]]]
[5,4,2,1,3,6]=>[2,3,5,6,4,1]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[]],[],[[]],[]]
[5,4,2,1,6,3]=>[2,3,5,6,1,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[]],[],[[]],[]]
[5,4,2,3,1,6]=>[2,3,5,4,6,1]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[]],[],[[]],[]]
[5,4,2,3,6,1]=>[2,3,5,4,1,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[]],[],[[]],[]]
[5,4,2,6,1,3]=>[2,3,5,1,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[]],[],[[]],[]]
[5,4,2,6,3,1]=>[2,3,5,1,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[]],[],[[]],[]]
[5,4,3,1,2,6]=>[2,3,4,6,5,1]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[]],[],[],[[]]]
[5,4,3,1,6,2]=>[2,3,4,6,1,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[]],[],[],[[]]]
[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[]],[],[],[],[]]
[5,4,3,2,6,1]=>[2,3,4,5,1,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[]],[],[],[],[]]
[5,4,3,6,1,2]=>[2,3,4,1,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[]],[],[],[[]]]
[5,4,3,6,2,1]=>[2,3,4,1,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[]],[],[],[],[]]
[5,4,6,1,2,3]=>[2,3,1,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[]],[],[[[]]]]
[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[]],[],[[],[]]]
[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[]],[],[[]],[]]
[5,4,6,2,3,1]=>[2,3,1,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[]],[],[[]],[]]
[5,4,6,3,1,2]=>[2,3,1,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[]],[],[],[[]]]
[5,4,6,3,2,1]=>[2,3,1,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[]],[],[],[],[]]
[5,6,1,2,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]=>[[[]],[[[[]]]]]
[5,6,1,2,4,3]=>[2,1,6,5,3,4]=>[[.,.],[[[.,[.,.]],.],.]]=>[[[]],[[[],[]]]]
[5,6,1,3,2,4]=>[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]
[5,6,1,3,4,2]=>[2,1,6,4,3,5]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]
[5,6,1,4,2,3]=>[2,1,6,3,5,4]=>[[.,.],[[.,[[.,.],.]],.]]=>[[[]],[[],[[]]]]
[5,6,1,4,3,2]=>[2,1,6,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[[]],[[],[],[]]]
[5,6,2,1,3,4]=>[2,1,5,6,4,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]
[5,6,2,1,4,3]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]
[5,6,2,3,1,4]=>[2,1,5,4,6,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]
[5,6,2,3,4,1]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]
[5,6,2,4,1,3]=>[2,1,5,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]
[5,6,2,4,3,1]=>[2,1,5,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]
[5,6,3,1,2,4]=>[2,1,4,6,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]
[5,6,3,1,4,2]=>[2,1,4,6,3,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]
[5,6,3,2,1,4]=>[2,1,4,5,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]
[5,6,3,2,4,1]=>[2,1,4,5,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]
[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[]],[[]],[[]]]
[5,6,3,4,2,1]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[]],[[]],[],[]]
[5,6,4,1,2,3]=>[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[]],[],[[[]]]]
[5,6,4,1,3,2]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[]],[],[[],[]]]
[5,6,4,2,1,3]=>[2,1,3,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[]],[],[[]],[]]
[5,6,4,2,3,1]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[]],[],[[]],[]]
[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[]],[],[],[[]]]
[5,6,4,3,2,1]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[]],[],[],[],[]]
[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]=>[[],[[[[[]]]]]]
[6,1,2,3,5,4]=>[1,6,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],.]]=>[[],[[[[],[]]]]]
[6,1,2,4,3,5]=>[1,6,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],.]]=>[[],[[[[]],[]]]]
[6,1,2,4,5,3]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]=>[[],[[[[]],[]]]]
[6,1,2,5,3,4]=>[1,6,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],.]]=>[[],[[[],[[]]]]]
[6,1,2,5,4,3]=>[1,6,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],.]]=>[[],[[[],[],[]]]]
[6,1,3,2,4,5]=>[1,6,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],.]]=>[[],[[[[]]],[]]]
[6,1,3,2,5,4]=>[1,6,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],.]]=>[[],[[[],[]],[]]]
[6,1,3,4,2,5]=>[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]=>[[],[[[[]]],[]]]
[6,1,3,4,5,2]=>[1,6,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],.]]=>[[],[[[[]]],[]]]
[6,1,3,5,2,4]=>[1,6,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],.]]=>[[],[[[],[]],[]]]
[6,1,3,5,4,2]=>[1,6,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],.]]=>[[],[[[],[]],[]]]
[6,1,4,2,3,5]=>[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]=>[[],[[[]],[[]]]]
[6,1,4,2,5,3]=>[1,6,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],.]]=>[[],[[[]],[[]]]]
[6,1,4,3,2,5]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]=>[[],[[[]],[],[]]]
[6,1,4,3,5,2]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],.]]=>[[],[[[]],[],[]]]
[6,1,4,5,2,3]=>[1,6,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],.]]=>[[],[[[]],[[]]]]
[6,1,4,5,3,2]=>[1,6,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],.]]=>[[],[[[]],[],[]]]
[6,1,5,2,3,4]=>[1,6,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],.]]=>[[],[[],[[[]]]]]
[6,1,5,2,4,3]=>[1,6,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],.]]=>[[],[[],[[],[]]]]
[6,1,5,3,2,4]=>[1,6,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],.]]=>[[],[[],[[]],[]]]
[6,1,5,3,4,2]=>[1,6,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],.]]=>[[],[[],[[]],[]]]
[6,1,5,4,2,3]=>[1,6,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],.]]=>[[],[[],[],[[]]]]
[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]=>[[],[[],[],[],[]]]
[6,2,1,3,4,5]=>[1,5,6,4,3,2]=>[.,[[[[.,.],.],.],[.,.]]]=>[[],[[[[]]]],[]]
[6,2,1,3,5,4]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]=>[[],[[[],[]]],[]]
[6,2,1,4,3,5]=>[1,5,6,3,4,2]=>[.,[[[.,.],[.,.]],[.,.]]]=>[[],[[[]],[]],[]]
[6,2,1,4,5,3]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]=>[[],[[[]],[]],[]]
[6,2,1,5,3,4]=>[1,5,6,2,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]=>[[],[[],[[]]],[]]
[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>[[],[[],[],[]],[]]
[6,2,3,1,4,5]=>[1,5,4,6,3,2]=>[.,[[[[.,.],.],.],[.,.]]]=>[[],[[[[]]]],[]]
[6,2,3,1,5,4]=>[1,5,4,6,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]=>[[],[[[],[]]],[]]
[6,2,3,4,1,5]=>[1,5,4,3,6,2]=>[.,[[[[.,.],.],.],[.,.]]]=>[[],[[[[]]]],[]]
[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]=>[[],[[[[]]]],[]]
[6,2,3,5,1,4]=>[1,5,4,2,6,3]=>[.,[[[.,[.,.]],.],[.,.]]]=>[[],[[[],[]]],[]]
[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]=>[[],[[[],[]]],[]]
[6,2,4,1,3,5]=>[1,5,3,6,4,2]=>[.,[[[.,.],[.,.]],[.,.]]]=>[[],[[[]],[]],[]]
[6,2,4,1,5,3]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]=>[[],[[[]],[]],[]]
[6,2,4,3,1,5]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,.]],[.,.]]]=>[[],[[[]],[]],[]]
[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]=>[[],[[[]],[]],[]]
[6,2,4,5,1,3]=>[1,5,3,2,6,4]=>[.,[[[.,.],[.,.]],[.,.]]]=>[[],[[[]],[]],[]]
[6,2,4,5,3,1]=>[1,5,3,2,4,6]=>[.,[[[.,.],[.,.]],[.,.]]]=>[[],[[[]],[]],[]]
[6,2,5,1,3,4]=>[1,5,2,6,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]=>[[],[[],[[]]],[]]
[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>[[],[[],[],[]],[]]
[6,2,5,3,1,4]=>[1,5,2,4,6,3]=>[.,[[.,[[.,.],.]],[.,.]]]=>[[],[[],[[]]],[]]
[6,2,5,3,4,1]=>[1,5,2,4,3,6]=>[.,[[.,[[.,.],.]],[.,.]]]=>[[],[[],[[]]],[]]
[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>[[],[[],[],[]],[]]
[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]=>[[],[[],[],[]],[]]
[6,3,1,2,4,5]=>[1,4,6,5,3,2]=>[.,[[[.,.],.],[[.,.],.]]]=>[[],[[[]]],[[]]]
[6,3,1,2,5,4]=>[1,4,6,5,2,3]=>[.,[[.,[.,.]],[[.,.],.]]]=>[[],[[],[]],[[]]]
[6,3,1,4,2,5]=>[1,4,6,3,5,2]=>[.,[[[.,.],.],[[.,.],.]]]=>[[],[[[]]],[[]]]
[6,3,1,4,5,2]=>[1,4,6,3,2,5]=>[.,[[[.,.],.],[[.,.],.]]]=>[[],[[[]]],[[]]]
[6,3,1,5,2,4]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]=>[[],[[],[]],[[]]]
[6,3,1,5,4,2]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>[[],[[],[]],[[]]]
[6,3,2,1,4,5]=>[1,4,5,6,3,2]=>[.,[[[.,.],.],[.,[.,.]]]]=>[[],[[[]]],[],[]]
[6,3,2,1,5,4]=>[1,4,5,6,2,3]=>[.,[[.,[.,.]],[.,[.,.]]]]=>[[],[[],[]],[],[]]
[6,3,2,4,1,5]=>[1,4,5,3,6,2]=>[.,[[[.,.],.],[.,[.,.]]]]=>[[],[[[]]],[],[]]
[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>[[],[[[]]],[],[]]
[6,3,2,5,1,4]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[.,[.,.]]]]=>[[],[[],[]],[],[]]
[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>[[],[[],[]],[],[]]
[6,3,4,1,2,5]=>[1,4,3,6,5,2]=>[.,[[[.,.],.],[[.,.],.]]]=>[[],[[[]]],[[]]]
[6,3,4,1,5,2]=>[1,4,3,6,2,5]=>[.,[[[.,.],.],[[.,.],.]]]=>[[],[[[]]],[[]]]
[6,3,4,2,1,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],.],[.,[.,.]]]]=>[[],[[[]]],[],[]]
[6,3,4,2,5,1]=>[1,4,3,5,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>[[],[[[]]],[],[]]
[6,3,4,5,1,2]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]=>[[],[[[]]],[[]]]
[6,3,4,5,2,1]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>[[],[[[]]],[],[]]
[6,3,5,1,2,4]=>[1,4,2,6,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]=>[[],[[],[]],[[]]]
[6,3,5,1,4,2]=>[1,4,2,6,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>[[],[[],[]],[[]]]
[6,3,5,2,1,4]=>[1,4,2,5,6,3]=>[.,[[.,[.,.]],[.,[.,.]]]]=>[[],[[],[]],[],[]]
[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>[[],[[],[]],[],[]]
[6,3,5,4,1,2]=>[1,4,2,3,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>[[],[[],[]],[[]]]
[6,3,5,4,2,1]=>[1,4,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>[[],[[],[]],[],[]]
[6,4,1,2,3,5]=>[1,3,6,5,4,2]=>[.,[[.,.],[[[.,.],.],.]]]=>[[],[[]],[[[]]]]
[6,4,1,2,5,3]=>[1,3,6,5,2,4]=>[.,[[.,.],[[[.,.],.],.]]]=>[[],[[]],[[[]]]]
[6,4,1,3,2,5]=>[1,3,6,4,5,2]=>[.,[[.,.],[[.,[.,.]],.]]]=>[[],[[]],[[],[]]]
[6,4,1,3,5,2]=>[1,3,6,4,2,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>[[],[[]],[[],[]]]
[6,4,1,5,2,3]=>[1,3,6,2,5,4]=>[.,[[.,.],[[[.,.],.],.]]]=>[[],[[]],[[[]]]]
[6,4,1,5,3,2]=>[1,3,6,2,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>[[],[[]],[[],[]]]
[6,4,2,1,3,5]=>[1,3,5,6,4,2]=>[.,[[.,.],[[.,.],[.,.]]]]=>[[],[[]],[[]],[]]
[6,4,2,1,5,3]=>[1,3,5,6,2,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>[[],[[]],[[]],[]]
[6,4,2,3,1,5]=>[1,3,5,4,6,2]=>[.,[[.,.],[[.,.],[.,.]]]]=>[[],[[]],[[]],[]]
[6,4,2,3,5,1]=>[1,3,5,4,2,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>[[],[[]],[[]],[]]
[6,4,2,5,1,3]=>[1,3,5,2,6,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>[[],[[]],[[]],[]]
[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>[[],[[]],[[]],[]]
[6,4,3,1,2,5]=>[1,3,4,6,5,2]=>[.,[[.,.],[.,[[.,.],.]]]]=>[[],[[]],[],[[]]]
[6,4,3,1,5,2]=>[1,3,4,6,2,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>[[],[[]],[],[[]]]
[6,4,3,2,1,5]=>[1,3,4,5,6,2]=>[.,[[.,.],[.,[.,[.,.]]]]]=>[[],[[]],[],[],[]]
[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>[[],[[]],[],[],[]]
[6,4,3,5,1,2]=>[1,3,4,2,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>[[],[[]],[],[[]]]
[6,4,3,5,2,1]=>[1,3,4,2,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>[[],[[]],[],[],[]]
[6,4,5,1,2,3]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]=>[[],[[]],[[[]]]]
[6,4,5,1,3,2]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>[[],[[]],[[],[]]]
[6,4,5,2,1,3]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>[[],[[]],[[]],[]]
[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>[[],[[]],[[]],[]]
[6,4,5,3,1,2]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>[[],[[]],[],[[]]]
[6,4,5,3,2,1]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>[[],[[]],[],[],[]]
[6,5,1,2,3,4]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]=>[[],[],[[[[]]]]]
[6,5,1,2,4,3]=>[1,2,6,5,3,4]=>[.,[.,[[[.,[.,.]],.],.]]]=>[[],[],[[[],[]]]]
[6,5,1,3,2,4]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]=>[[],[],[[[]],[]]]
[6,5,1,3,4,2]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],[.,.]],.]]]=>[[],[],[[[]],[]]]
[6,5,1,4,2,3]=>[1,2,6,3,5,4]=>[.,[.,[[.,[[.,.],.]],.]]]=>[[],[],[[],[[]]]]
[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]=>[[],[],[[],[],[]]]
[6,5,2,1,3,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,.],.],[.,.]]]]=>[[],[],[[[]]],[]]
[6,5,2,1,4,3]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]=>[[],[],[[],[]],[]]
[6,5,2,3,1,4]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],.],[.,.]]]]=>[[],[],[[[]]],[]]
[6,5,2,3,4,1]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]=>[[],[],[[[]]],[]]
[6,5,2,4,1,3]=>[1,2,5,3,6,4]=>[.,[.,[[.,[.,.]],[.,.]]]]=>[[],[],[[],[]],[]]
[6,5,2,4,3,1]=>[1,2,5,3,4,6]=>[.,[.,[[.,[.,.]],[.,.]]]]=>[[],[],[[],[]],[]]
[6,5,3,1,2,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,.],[[.,.],.]]]]=>[[],[],[[]],[[]]]
[6,5,3,1,4,2]=>[1,2,4,6,3,5]=>[.,[.,[[.,.],[[.,.],.]]]]=>[[],[],[[]],[[]]]
[6,5,3,2,1,4]=>[1,2,4,5,6,3]=>[.,[.,[[.,.],[.,[.,.]]]]]=>[[],[],[[]],[],[]]
[6,5,3,2,4,1]=>[1,2,4,5,3,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>[[],[],[[]],[],[]]
[6,5,3,4,1,2]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]=>[[],[],[[]],[[]]]
[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>[[],[],[[]],[],[]]
[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]=>[[],[],[],[[[]]]]
[6,5,4,1,3,2]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]=>[[],[],[],[[],[]]]
[6,5,4,2,1,3]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,.],[.,.]]]]]=>[[],[],[],[[]],[]]
[6,5,4,2,3,1]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]=>[[],[],[],[[]],[]]
[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]=>[[],[],[],[],[[]]]
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[[],[],[],[],[],[]]
[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]=>[[[[[[[[]]]]]]]]
[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],.]=>[[[[[[[],[]]]]]]]
[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],.]=>[[[[[[[]],[]]]]]]
[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],.]=>[[[[[[[]],[]]]]]]
[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],.]=>[[[[[[],[[]]]]]]]
[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],.]=>[[[[[[],[],[]]]]]]
[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]=>[[[[[[[]]],[]]]]]
[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>[[[[[[],[]],[]]]]]
[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],.]=>[[[[[[[]]],[]]]]]
[1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],.]=>[[[[[[[]]],[]]]]]
[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>[[[[[[],[]],[]]]]]
[1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>[[[[[[],[]],[]]]]]
[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],.]=>[[[[[[]],[[]]]]]]
[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],.]=>[[[[[[]],[[]]]]]]
[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>[[[[[[]],[],[]]]]]
[1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>[[[[[[]],[],[]]]]]
[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],.]=>[[[[[[]],[[]]]]]]
[1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>[[[[[[]],[],[]]]]]
[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]=>[[[[[],[[[]]]]]]]
[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],.],.]=>[[[[[],[[],[]]]]]]
[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>[[[[[],[[]],[]]]]]
[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>[[[[[],[[]],[]]]]]
[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>[[[[.,[.,[[.,.],.]]],.],.],.]=>[[[[[],[],[[]]]]]]
[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],.]=>[[[[[],[],[],[]]]]]
[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>[[[[[[[]]]],[]]]]
[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>[[[[[[],[]]],[]]]]
[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]
[1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]
[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>[[[[[],[[]]],[]]]]
[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>[[[[[],[],[]],[]]]]
[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>[[[[[[[]]]],[]]]]
[1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>[[[[[[],[]]],[]]]]
[1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>[[[[[[[]]]],[]]]]
[1,2,4,5,6,7,3]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],.]=>[[[[[[[]]]],[]]]]
[1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>[[[[[[],[]]],[]]]]
[1,2,4,5,7,6,3]=>[7,6,4,3,1,2,5]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>[[[[[[],[]]],[]]]]
[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]
[1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]
[1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]
[1,2,4,6,5,7,3]=>[7,6,4,2,3,1,5]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]
[1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]
[1,2,4,6,7,5,3]=>[7,6,4,2,1,3,5]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]
[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>[[[[[],[[]]],[]]]]
[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>[[[[[],[],[]],[]]]]
[1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>[[[[[],[[]]],[]]]]
[1,2,4,7,5,6,3]=>[7,6,4,1,3,2,5]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>[[[[[],[[]]],[]]]]
[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>[[[[[],[],[]],[]]]]
[1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>[[[[[],[],[]],[]]]]
[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[[[[[[]]],[[]]]]]
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[1,2,5,7,6,3,4]=>[7,6,3,1,2,5,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>[[[[[],[]],[[]]]]]
[1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[[[[[],[]],[],[]]]]
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[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]=>[[[[[]],[[[]]]]]]
[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>[[[[[]],[[],[]]]]]
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[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[[[[]],[[]],[]]]]
[1,2,6,4,5,7,3]=>[7,6,2,4,3,1,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[[[[]],[[]],[]]]]
[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[[[[]],[[]],[]]]]
[1,2,6,4,7,5,3]=>[7,6,2,4,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[[[[]],[[]],[]]]]
[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>[[[[[]],[],[[]]]]]
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[1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>[[[[[]],[],[[]]]]]
[1,2,6,5,7,4,3]=>[7,6,2,3,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>[[[[[]],[],[],[]]]]
[1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]=>[[[[[]],[[[]]]]]]
[1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>[[[[[]],[[],[]]]]]
[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[[[[]],[[]],[]]]]
[1,2,6,7,4,5,3]=>[7,6,2,1,4,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[[[[]],[[]],[]]]]
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[1,2,6,7,5,4,3]=>[7,6,2,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>[[[[[]],[],[],[]]]]
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[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>[[[.,[[[.,[.,.]],.],.]],.],.]=>[[[[],[[[],[]]]]]]
[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>[[[.,[[[.,.],[.,.]],.]],.],.]=>[[[[],[[[]],[]]]]]
[1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>[[[.,[[[.,.],[.,.]],.]],.],.]=>[[[[],[[[]],[]]]]]
[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>[[[.,[[.,[[.,.],.]],.]],.],.]=>[[[[],[[],[[]]]]]]
[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[[[.,[[.,[.,[.,.]]],.]],.],.]=>[[[[],[[],[],[]]]]]
[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>[[[[],[[[]]],[]]]]
[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>[[[[],[[],[]],[]]]]
[1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>[[[[],[[[]]],[]]]]
[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>[[[[],[[[]]],[]]]]
[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>[[[[],[[],[]],[]]]]
[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>[[[[],[[],[]],[]]]]
[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>[[[[],[[]],[[]]]]]
[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>[[[[],[[]],[[]]]]]
[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>[[[[],[[]],[],[]]]]
[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>[[[[],[[]],[],[]]]]
[1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>[[[[],[[]],[[]]]]]
[1,2,7,5,6,4,3]=>[7,6,1,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>[[[[],[[]],[],[]]]]
[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>[[[.,[.,[[[.,.],.],.]]],.],.]=>[[[[],[],[[[]]]]]]
[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>[[[.,[.,[[.,[.,.]],.]]],.],.]=>[[[[],[],[[],[]]]]]
[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>[[[.,[.,[[.,.],[.,.]]]],.],.]=>[[[[],[],[[]],[]]]]
[1,2,7,6,4,5,3]=>[7,6,1,2,4,3,5]=>[[[.,[.,[[.,.],[.,.]]]],.],.]=>[[[[],[],[[]],[]]]]
[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>[[[.,[.,[.,[[.,.],.]]]],.],.]=>[[[[],[],[],[[]]]]]
[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[[[[],[],[],[],[]]]]
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[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>[[[[[[],[]]]],[]]]
[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]
[1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]
[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>[[[[[],[[]]]],[]]]
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[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]
[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]
[1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]
[1,3,2,5,6,7,4]=>[7,5,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]
[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]
[1,3,2,5,7,6,4]=>[7,5,6,3,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]
[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]
[1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]
[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]
[1,3,2,6,5,7,4]=>[7,5,6,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]
[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]
[1,3,2,6,7,5,4]=>[7,5,6,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]
[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>[[[[],[[[]]]],[]]]
[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>[[[[],[[],[]]],[]]]
[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[[],[[]],[]],[]]]
[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[[],[[]],[]],[]]]
[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>[[[[],[],[[]]],[]]]
[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[[[[],[],[],[]],[]]]
[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>[[[[[[[]]]]],[]]]
[1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>[[[[[[],[]]]],[]]]
[1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]
[1,3,4,2,6,7,5]=>[7,5,4,6,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]
[1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>[[[[[],[[]]]],[]]]
[1,3,4,2,7,6,5]=>[7,5,4,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>[[[[[],[],[]]],[]]]
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[1,3,4,5,2,7,6]=>[7,5,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>[[[[[[],[]]]],[]]]
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[1,3,4,5,7,2,6]=>[7,5,4,3,1,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>[[[[[[],[]]]],[]]]
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[1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]
[1,3,4,6,2,7,5]=>[7,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]
[1,3,4,6,5,2,7]=>[7,5,4,2,3,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]
[1,3,4,6,5,7,2]=>[7,5,4,2,3,1,6]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]
[1,3,4,6,7,2,5]=>[7,5,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]
[1,3,4,6,7,5,2]=>[7,5,4,2,1,3,6]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]
[1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>[[[[[],[[]]]],[]]]
[1,3,4,7,2,6,5]=>[7,5,4,1,6,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>[[[[[],[],[]]],[]]]
[1,3,4,7,5,2,6]=>[7,5,4,1,3,6,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>[[[[[],[[]]]],[]]]
[1,3,4,7,5,6,2]=>[7,5,4,1,3,2,6]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>[[[[[],[[]]]],[]]]
[1,3,4,7,6,2,5]=>[7,5,4,1,2,6,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>[[[[[],[],[]]],[]]]
[1,3,4,7,6,5,2]=>[7,5,4,1,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>[[[[[],[],[]]],[]]]
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[1,3,5,4,2,7,6]=>[7,5,3,4,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]
[1,3,5,4,6,2,7]=>[7,5,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]
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[1,3,5,4,7,2,6]=>[7,5,3,4,1,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]
[1,3,5,4,7,6,2]=>[7,5,3,4,1,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]
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[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[],[],[]],[[]]]]
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[1,4,7,5,2,3,6]=>[7,4,1,3,6,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[[],[[]]],[[]]]]
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[1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[[],[[]]],[],[]]]
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[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[],[],[]],[],[]]]
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[1,4,7,6,5,2,3]=>[7,4,1,2,3,6,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[],[],[]],[[]]]]
[1,4,7,6,5,3,2]=>[7,4,1,2,3,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[],[],[]],[],[]]]
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[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]
[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]
[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]
[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]
[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]
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[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]
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[1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]
[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]
[1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]
[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]
[1,5,2,7,4,6,3]=>[7,3,6,1,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]
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[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]
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[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]
[1,5,3,4,6,2,7]=>[7,3,5,4,2,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]
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[1,5,3,4,7,2,6]=>[7,3,5,4,1,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]
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[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]
[1,5,3,6,2,7,4]=>[7,3,5,2,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]
[1,5,3,6,4,2,7]=>[7,3,5,2,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]
[1,5,3,6,4,7,2]=>[7,3,5,2,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]
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[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]
[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]
[1,5,3,7,4,2,6]=>[7,3,5,1,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]
[1,5,3,7,4,6,2]=>[7,3,5,1,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]
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[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]
[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]
[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]
[1,5,4,2,6,7,3]=>[7,3,4,6,2,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]
[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]
[1,5,4,2,7,6,3]=>[7,3,4,6,1,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]
[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]
[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]
[1,5,4,3,6,2,7]=>[7,3,4,5,2,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]
[1,5,4,3,6,7,2]=>[7,3,4,5,2,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]
[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]
[1,5,4,3,7,6,2]=>[7,3,4,5,1,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]
[1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]
[1,5,4,6,2,7,3]=>[7,3,4,2,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]
[1,5,4,6,3,2,7]=>[7,3,4,2,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]
[1,5,4,6,3,7,2]=>[7,3,4,2,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]
[1,5,4,6,7,2,3]=>[7,3,4,2,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]
[1,5,4,6,7,3,2]=>[7,3,4,2,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]
[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]
[1,5,4,7,2,6,3]=>[7,3,4,1,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]
[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]
[1,5,4,7,3,6,2]=>[7,3,4,1,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]
[1,5,4,7,6,2,3]=>[7,3,4,1,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]
[1,5,4,7,6,3,2]=>[7,3,4,1,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]
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[1,5,6,2,3,7,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[[[[]]],[[[]]]]]
[1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]
[1,5,6,2,4,7,3]=>[7,3,2,6,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]
[1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[[[[]]],[[[]]]]]
[1,5,6,2,7,4,3]=>[7,3,2,6,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]
[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]
[1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]
[1,5,6,3,4,2,7]=>[7,3,2,5,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]
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[1,5,6,3,7,2,4]=>[7,3,2,5,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]
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[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]
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[1,5,6,4,3,2,7]=>[7,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]
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[1,5,6,4,7,2,3]=>[7,3,2,4,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]
[1,5,6,4,7,3,2]=>[7,3,2,4,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]
[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[[[[]]],[[[]]]]]
[1,5,6,7,2,4,3]=>[7,3,2,1,6,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]
[1,5,6,7,3,2,4]=>[7,3,2,1,5,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]
[1,5,6,7,3,4,2]=>[7,3,2,1,5,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]
[1,5,6,7,4,2,3]=>[7,3,2,1,4,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]
[1,5,6,7,4,3,2]=>[7,3,2,1,4,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]
[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]
[1,5,7,2,3,6,4]=>[7,3,1,6,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]
[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]
[1,5,7,2,4,6,3]=>[7,3,1,6,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]
[1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]
[1,5,7,2,6,4,3]=>[7,3,1,6,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]
[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]
[1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]
[1,5,7,3,4,2,6]=>[7,3,1,5,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]
[1,5,7,3,4,6,2]=>[7,3,1,5,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]
[1,5,7,3,6,2,4]=>[7,3,1,5,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]
[1,5,7,3,6,4,2]=>[7,3,1,5,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]
[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]
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[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]
[1,5,7,4,3,6,2]=>[7,3,1,4,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]
[1,5,7,4,6,2,3]=>[7,3,1,4,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]
[1,5,7,4,6,3,2]=>[7,3,1,4,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]
[1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]
[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]
[1,5,7,6,3,2,4]=>[7,3,1,2,5,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]
[1,5,7,6,3,4,2]=>[7,3,1,2,5,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]
[1,5,7,6,4,2,3]=>[7,3,1,2,4,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]
[1,5,7,6,4,3,2]=>[7,3,1,2,4,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]
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[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>[[[[]],[[[[]]]]]]
[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>[[[[]],[[[],[]]]]]
[1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>[[[[]],[[[],[]]]]]
[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>[[[[]],[[[[]]]]]]
[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>[[[[]],[[[],[]]]]]
[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]
[1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]
[1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]
[1,6,2,4,5,7,3]=>[7,2,6,4,3,1,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]
[1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]
[1,6,2,4,7,5,3]=>[7,2,6,4,1,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]
[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>[[[[]],[[],[[]]]]]
[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>[[[[]],[[],[[]]]]]
[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[[[[]],[[],[],[]]]]
[1,6,2,5,4,7,3]=>[7,2,6,3,4,1,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[[[[]],[[],[],[]]]]
[1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>[[[[]],[[],[[]]]]]
[1,6,2,5,7,4,3]=>[7,2,6,3,1,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[[[[]],[[],[],[]]]]
[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>[[[[]],[[[[]]]]]]
[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>[[[[]],[[[],[]]]]]
[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]
[1,6,2,7,4,5,3]=>[7,2,6,1,4,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]
[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>[[[[]],[[],[[]]]]]
[1,6,2,7,5,4,3]=>[7,2,6,1,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[[[[]],[[],[],[]]]]
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[1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]
[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]
[1,6,3,2,5,7,4]=>[7,2,5,6,3,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]
[1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]
[1,6,3,2,7,5,4]=>[7,2,5,6,1,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]
[1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]
[1,6,3,4,2,7,5]=>[7,2,5,4,6,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]
[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]
[1,6,3,4,5,7,2]=>[7,2,5,4,3,1,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]
[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]
[1,6,3,4,7,5,2]=>[7,2,5,4,1,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]
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[1,6,3,7,2,5,4]=>[7,2,5,1,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]
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[1,6,4,5,2,7,3]=>[7,2,4,3,6,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]
[1,6,4,5,3,2,7]=>[7,2,4,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]
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[1,6,4,7,2,3,5]=>[7,2,4,1,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]
[1,6,4,7,2,5,3]=>[7,2,4,1,6,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]
[1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]
[1,6,4,7,3,5,2]=>[7,2,4,1,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]
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[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>[[[[]],[],[[],[]]]]
[1,6,5,2,4,7,3]=>[7,2,3,6,4,1,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>[[[[]],[],[[],[]]]]
[1,6,5,2,7,3,4]=>[7,2,3,6,1,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>[[[[]],[],[[[]]]]]
[1,6,5,2,7,4,3]=>[7,2,3,6,1,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>[[[[]],[],[[],[]]]]
[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]
[1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]
[1,6,5,3,4,2,7]=>[7,2,3,5,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]
[1,6,5,3,4,7,2]=>[7,2,3,5,4,1,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]
[1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]
[1,6,5,3,7,4,2]=>[7,2,3,5,1,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]
[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>[[[[]],[],[],[[]]]]
[1,6,5,4,2,7,3]=>[7,2,3,4,6,1,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>[[[[]],[],[],[[]]]]
[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[[[[]],[],[],[],[]]]
[1,6,5,4,3,7,2]=>[7,2,3,4,5,1,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[[[[]],[],[],[],[]]]
[1,6,5,4,7,2,3]=>[7,2,3,4,1,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>[[[[]],[],[],[[]]]]
[1,6,5,4,7,3,2]=>[7,2,3,4,1,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[[[[]],[],[],[],[]]]
[1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>[[[[]],[],[[[]]]]]
[1,6,5,7,2,4,3]=>[7,2,3,1,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>[[[[]],[],[[],[]]]]
[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]
[1,6,5,7,3,4,2]=>[7,2,3,1,5,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]
[1,6,5,7,4,2,3]=>[7,2,3,1,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>[[[[]],[],[],[[]]]]
[1,6,5,7,4,3,2]=>[7,2,3,1,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[[[[]],[],[],[],[]]]
[1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>[[[[]],[[[[]]]]]]
[1,6,7,2,3,5,4]=>[7,2,1,6,5,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>[[[[]],[[[],[]]]]]
[1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]
[1,6,7,2,4,5,3]=>[7,2,1,6,4,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]
[1,6,7,2,5,3,4]=>[7,2,1,6,3,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>[[[[]],[[],[[]]]]]
[1,6,7,2,5,4,3]=>[7,2,1,6,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[[[[]],[[],[],[]]]]
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[1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]
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[1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[[[],[],[],[[],[]]]]
[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[[[],[],[],[[]],[]]]
[1,7,6,5,3,4,2]=>[7,1,2,3,5,4,6]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[[[],[],[],[[]],[]]]
[1,7,6,5,4,2,3]=>[7,1,2,3,4,6,5]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[[[],[],[],[],[[]]]]
[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[[[],[],[],[],[],[]]]
[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[[[[[[]]]]]],[]]
[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>[[[[[[],[]]]]],[]]
[2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]
[2,1,3,4,6,7,5]=>[6,7,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]
[2,1,3,4,7,5,6]=>[6,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>[[[[[],[[]]]]],[]]
[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>[[[[[],[],[]]]],[]]
[2,1,3,5,4,6,7]=>[6,7,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,1,3,5,6,4,7]=>[6,7,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,1,3,5,6,7,4]=>[6,7,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,1,3,5,7,6,4]=>[6,7,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,1,3,6,4,5,7]=>[6,7,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,1,3,6,4,7,5]=>[6,7,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,1,3,6,5,7,4]=>[6,7,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,1,3,6,7,4,5]=>[6,7,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,1,3,6,7,5,4]=>[6,7,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,1,3,7,4,5,6]=>[6,7,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>[[[[],[[[]]]]],[]]
[2,1,3,7,4,6,5]=>[6,7,5,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>[[[[],[[],[]]]],[]]
[2,1,3,7,5,4,6]=>[6,7,5,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]
[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]
[2,1,3,7,6,4,5]=>[6,7,5,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>[[[[],[],[[]]]],[]]
[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[[[[],[],[],[]]],[]]
[2,1,4,3,5,6,7]=>[6,7,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,1,4,3,6,7,5]=>[6,7,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,1,4,3,7,5,6]=>[6,7,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,1,4,5,3,6,7]=>[6,7,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,1,4,5,3,7,6]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,1,4,5,6,3,7]=>[6,7,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,1,4,5,6,7,3]=>[6,7,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,1,4,5,7,3,6]=>[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,1,4,5,7,6,3]=>[6,7,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,1,4,6,3,7,5]=>[6,7,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,1,4,6,5,3,7]=>[6,7,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,1,4,6,5,7,3]=>[6,7,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,1,4,6,7,3,5]=>[6,7,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,1,4,6,7,5,3]=>[6,7,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,1,4,7,3,5,6]=>[6,7,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,1,4,7,5,3,6]=>[6,7,4,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,1,4,7,5,6,3]=>[6,7,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,1,4,7,6,5,3]=>[6,7,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,1,5,3,4,6,7]=>[6,7,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,1,5,3,6,4,7]=>[6,7,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,1,5,3,6,7,4]=>[6,7,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,1,5,3,7,4,6]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,1,5,3,7,6,4]=>[6,7,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,1,5,4,6,3,7]=>[6,7,3,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,1,5,4,6,7,3]=>[6,7,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,1,5,4,7,6,3]=>[6,7,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,1,5,6,3,4,7]=>[6,7,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,1,5,6,3,7,4]=>[6,7,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,1,5,6,4,3,7]=>[6,7,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,1,5,6,4,7,3]=>[6,7,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,1,5,6,7,3,4]=>[6,7,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,1,5,6,7,4,3]=>[6,7,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,1,5,7,3,4,6]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,1,5,7,3,6,4]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,1,5,7,4,6,3]=>[6,7,3,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,1,5,7,6,3,4]=>[6,7,3,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,1,5,7,6,4,3]=>[6,7,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,1,6,3,4,5,7]=>[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,1,6,3,4,7,5]=>[6,7,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,1,6,3,5,4,7]=>[6,7,2,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,1,6,3,5,7,4]=>[6,7,2,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,1,6,3,7,4,5]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,1,6,3,7,5,4]=>[6,7,2,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,1,6,4,3,5,7]=>[6,7,2,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,1,6,4,3,7,5]=>[6,7,2,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,1,6,4,5,7,3]=>[6,7,2,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,1,6,4,7,3,5]=>[6,7,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,1,6,4,7,5,3]=>[6,7,2,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,1,6,5,3,4,7]=>[6,7,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,1,6,5,3,7,4]=>[6,7,2,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,1,6,5,4,7,3]=>[6,7,2,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,1,6,5,7,3,4]=>[6,7,2,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,1,6,5,7,4,3]=>[6,7,2,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,1,6,7,3,4,5]=>[6,7,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,1,6,7,3,5,4]=>[6,7,2,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,1,6,7,4,3,5]=>[6,7,2,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,1,6,7,4,5,3]=>[6,7,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,1,6,7,5,4,3]=>[6,7,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,1,7,3,4,5,6]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>[[[],[[[[]]]]],[]]
[2,1,7,3,4,6,5]=>[6,7,1,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>[[[],[[[],[]]]],[]]
[2,1,7,3,5,4,6]=>[6,7,1,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[]],[]]],[]]
[2,1,7,3,5,6,4]=>[6,7,1,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[]],[]]],[]]
[2,1,7,3,6,4,5]=>[6,7,1,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>[[[],[[],[[]]]],[]]
[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[[[],[[],[],[]]],[]]
[2,1,7,4,3,5,6]=>[6,7,1,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,1,7,4,5,3,6]=>[6,7,1,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,1,7,5,3,4,6]=>[6,7,1,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,1,7,5,3,6,4]=>[6,7,1,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,1,7,5,4,3,6]=>[6,7,1,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,1,7,5,6,3,4]=>[6,7,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,1,7,5,6,4,3]=>[6,7,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,1,7,6,3,4,5]=>[6,7,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>[[[],[],[[[]]]],[]]
[2,1,7,6,3,5,4]=>[6,7,1,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[[[],[],[[],[]]],[]]
[2,1,7,6,4,3,5]=>[6,7,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]
[2,1,7,6,4,5,3]=>[6,7,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]
[2,1,7,6,5,3,4]=>[6,7,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[],[],[],[[]]],[]]
[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[[[],[],[],[],[]],[]]
[2,3,1,4,5,6,7]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[[[[[[]]]]]],[]]
[2,3,1,4,5,7,6]=>[6,5,7,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>[[[[[[],[]]]]],[]]
[2,3,1,4,6,5,7]=>[6,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]
[2,3,1,4,6,7,5]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]
[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>[[[[[],[[]]]]],[]]
[2,3,1,4,7,6,5]=>[6,5,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>[[[[[],[],[]]]],[]]
[2,3,1,5,4,6,7]=>[6,5,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,3,1,5,4,7,6]=>[6,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,3,1,5,6,4,7]=>[6,5,7,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,3,1,5,6,7,4]=>[6,5,7,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,3,1,5,7,4,6]=>[6,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,3,1,5,7,6,4]=>[6,5,7,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,3,1,6,4,5,7]=>[6,5,7,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,3,1,6,4,7,5]=>[6,5,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,3,1,6,5,4,7]=>[6,5,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,3,1,6,5,7,4]=>[6,5,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,3,1,6,7,4,5]=>[6,5,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,3,1,6,7,5,4]=>[6,5,7,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,3,1,7,4,5,6]=>[6,5,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>[[[[],[[[]]]]],[]]
[2,3,1,7,4,6,5]=>[6,5,7,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>[[[[],[[],[]]]],[]]
[2,3,1,7,5,4,6]=>[6,5,7,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]
[2,3,1,7,5,6,4]=>[6,5,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]
[2,3,1,7,6,4,5]=>[6,5,7,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>[[[[],[],[[]]]],[]]
[2,3,1,7,6,5,4]=>[6,5,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[[[[],[],[],[]]],[]]
[2,3,4,1,5,6,7]=>[6,5,4,7,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[[[[[[]]]]]],[]]
[2,3,4,1,5,7,6]=>[6,5,4,7,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>[[[[[[],[]]]]],[]]
[2,3,4,1,6,5,7]=>[6,5,4,7,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]
[2,3,4,1,6,7,5]=>[6,5,4,7,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]
[2,3,4,1,7,5,6]=>[6,5,4,7,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>[[[[[],[[]]]]],[]]
[2,3,4,1,7,6,5]=>[6,5,4,7,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>[[[[[],[],[]]]],[]]
[2,3,4,5,1,6,7]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[[[[[[]]]]]],[]]
[2,3,4,5,1,7,6]=>[6,5,4,3,7,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>[[[[[[],[]]]]],[]]
[2,3,4,5,6,1,7]=>[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[[[[[[]]]]]],[]]
[2,3,4,5,6,7,1]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[[[[[[]]]]]],[]]
[2,3,4,5,7,1,6]=>[6,5,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>[[[[[[],[]]]]],[]]
[2,3,4,5,7,6,1]=>[6,5,4,3,1,2,7]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>[[[[[[],[]]]]],[]]
[2,3,4,6,1,5,7]=>[6,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]
[2,3,4,6,1,7,5]=>[6,5,4,2,7,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]
[2,3,4,6,5,1,7]=>[6,5,4,2,3,7,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]
[2,3,4,6,5,7,1]=>[6,5,4,2,3,1,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]
[2,3,4,6,7,1,5]=>[6,5,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]
[2,3,4,6,7,5,1]=>[6,5,4,2,1,3,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]
[2,3,4,7,1,5,6]=>[6,5,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>[[[[[],[[]]]]],[]]
[2,3,4,7,1,6,5]=>[6,5,4,1,7,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>[[[[[],[],[]]]],[]]
[2,3,4,7,5,1,6]=>[6,5,4,1,3,7,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>[[[[[],[[]]]]],[]]
[2,3,4,7,5,6,1]=>[6,5,4,1,3,2,7]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>[[[[[],[[]]]]],[]]
[2,3,4,7,6,1,5]=>[6,5,4,1,2,7,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>[[[[[],[],[]]]],[]]
[2,3,4,7,6,5,1]=>[6,5,4,1,2,3,7]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>[[[[[],[],[]]]],[]]
[2,3,5,1,4,6,7]=>[6,5,3,7,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,3,5,1,4,7,6]=>[6,5,3,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,3,5,1,6,4,7]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,3,5,1,6,7,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,3,5,1,7,4,6]=>[6,5,3,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,3,5,1,7,6,4]=>[6,5,3,7,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,3,5,4,1,6,7]=>[6,5,3,4,7,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,3,5,4,1,7,6]=>[6,5,3,4,7,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,3,5,4,6,1,7]=>[6,5,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,3,5,4,6,7,1]=>[6,5,3,4,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,3,5,4,7,1,6]=>[6,5,3,4,1,7,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,3,5,4,7,6,1]=>[6,5,3,4,1,2,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,3,5,6,1,4,7]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,3,5,6,1,7,4]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,3,5,6,4,1,7]=>[6,5,3,2,4,7,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,3,5,6,4,7,1]=>[6,5,3,2,4,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,3,5,6,7,1,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,3,5,6,7,4,1]=>[6,5,3,2,1,4,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]
[2,3,5,7,1,4,6]=>[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,3,5,7,1,6,4]=>[6,5,3,1,7,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,3,5,7,4,1,6]=>[6,5,3,1,4,7,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,3,5,7,4,6,1]=>[6,5,3,1,4,2,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,3,5,7,6,1,4]=>[6,5,3,1,2,7,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,3,5,7,6,4,1]=>[6,5,3,1,2,4,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]
[2,3,6,1,4,5,7]=>[6,5,2,7,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,3,6,1,4,7,5]=>[6,5,2,7,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,3,6,1,5,4,7]=>[6,5,2,7,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,3,6,1,5,7,4]=>[6,5,2,7,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,3,6,1,7,4,5]=>[6,5,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,3,6,1,7,5,4]=>[6,5,2,7,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,3,6,4,1,5,7]=>[6,5,2,4,7,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,3,6,4,1,7,5]=>[6,5,2,4,7,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,3,6,4,5,1,7]=>[6,5,2,4,3,7,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,3,6,4,5,7,1]=>[6,5,2,4,3,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,3,6,4,7,1,5]=>[6,5,2,4,1,7,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,3,6,4,7,5,1]=>[6,5,2,4,1,3,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,3,6,5,1,4,7]=>[6,5,2,3,7,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,3,6,5,1,7,4]=>[6,5,2,3,7,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,3,6,5,4,1,7]=>[6,5,2,3,4,7,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,3,6,5,4,7,1]=>[6,5,2,3,4,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,3,6,5,7,1,4]=>[6,5,2,3,1,7,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,3,6,5,7,4,1]=>[6,5,2,3,1,4,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,3,6,7,1,4,5]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,3,6,7,1,5,4]=>[6,5,2,1,7,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,3,6,7,4,1,5]=>[6,5,2,1,4,7,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,3,6,7,4,5,1]=>[6,5,2,1,4,3,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]
[2,3,6,7,5,1,4]=>[6,5,2,1,3,7,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,3,6,7,5,4,1]=>[6,5,2,1,3,4,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]
[2,3,7,1,4,5,6]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>[[[[],[[[]]]]],[]]
[2,3,7,1,4,6,5]=>[6,5,1,7,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>[[[[],[[],[]]]],[]]
[2,3,7,1,5,4,6]=>[6,5,1,7,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]
[2,3,7,1,5,6,4]=>[6,5,1,7,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]
[2,3,7,1,6,4,5]=>[6,5,1,7,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>[[[[],[],[[]]]],[]]
[2,3,7,1,6,5,4]=>[6,5,1,7,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[[[[],[],[],[]]],[]]
[2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>[[[[],[[[]]]]],[]]
[2,3,7,4,1,6,5]=>[6,5,1,4,7,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>[[[[],[[],[]]]],[]]
[2,3,7,4,5,1,6]=>[6,5,1,4,3,7,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>[[[[],[[[]]]]],[]]
[2,3,7,4,5,6,1]=>[6,5,1,4,3,2,7]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>[[[[],[[[]]]]],[]]
[2,3,7,4,6,1,5]=>[6,5,1,4,2,7,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>[[[[],[[],[]]]],[]]
[2,3,7,4,6,5,1]=>[6,5,1,4,2,3,7]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>[[[[],[[],[]]]],[]]
[2,3,7,5,1,4,6]=>[6,5,1,3,7,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]
[2,3,7,5,1,6,4]=>[6,5,1,3,7,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]
[2,3,7,5,4,1,6]=>[6,5,1,3,4,7,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]
[2,3,7,5,4,6,1]=>[6,5,1,3,4,2,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]
[2,3,7,5,6,1,4]=>[6,5,1,3,2,7,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]
[2,3,7,5,6,4,1]=>[6,5,1,3,2,4,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]
[2,3,7,6,1,4,5]=>[6,5,1,2,7,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>[[[[],[],[[]]]],[]]
[2,3,7,6,1,5,4]=>[6,5,1,2,7,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[[[[],[],[],[]]],[]]
[2,3,7,6,4,1,5]=>[6,5,1,2,4,7,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>[[[[],[],[[]]]],[]]
[2,3,7,6,4,5,1]=>[6,5,1,2,4,3,7]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>[[[[],[],[[]]]],[]]
[2,3,7,6,5,1,4]=>[6,5,1,2,3,7,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[[[[],[],[],[]]],[]]
[2,3,7,6,5,4,1]=>[6,5,1,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[[[[],[],[],[]]],[]]
[2,4,1,3,5,6,7]=>[6,4,7,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,1,3,6,7,5]=>[6,4,7,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,1,3,7,5,6]=>[6,4,7,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,1,5,3,6,7]=>[6,4,7,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,1,5,3,7,6]=>[6,4,7,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,1,5,6,3,7]=>[6,4,7,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,1,5,6,7,3]=>[6,4,7,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,1,5,7,3,6]=>[6,4,7,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,1,5,7,6,3]=>[6,4,7,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,1,6,3,5,7]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,1,6,3,7,5]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,1,6,5,3,7]=>[6,4,7,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,1,6,5,7,3]=>[6,4,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,1,6,7,3,5]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,1,6,7,5,3]=>[6,4,7,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,1,7,3,5,6]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,1,7,5,3,6]=>[6,4,7,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,1,7,5,6,3]=>[6,4,7,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,1,7,6,5,3]=>[6,4,7,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,3,1,5,6,7]=>[6,4,5,7,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,3,1,5,7,6]=>[6,4,5,7,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,3,1,6,5,7]=>[6,4,5,7,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,3,1,6,7,5]=>[6,4,5,7,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,3,1,7,5,6]=>[6,4,5,7,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,3,1,7,6,5]=>[6,4,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,3,5,1,6,7]=>[6,4,5,3,7,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,3,5,1,7,6]=>[6,4,5,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,3,5,6,1,7]=>[6,4,5,3,2,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,3,5,6,7,1]=>[6,4,5,3,2,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,3,5,7,1,6]=>[6,4,5,3,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,3,5,7,6,1]=>[6,4,5,3,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,3,6,1,5,7]=>[6,4,5,2,7,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,3,6,1,7,5]=>[6,4,5,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,3,6,5,1,7]=>[6,4,5,2,3,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,3,6,5,7,1]=>[6,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,3,6,7,1,5]=>[6,4,5,2,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,3,6,7,5,1]=>[6,4,5,2,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,3,7,1,5,6]=>[6,4,5,1,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,3,7,1,6,5]=>[6,4,5,1,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,3,7,5,1,6]=>[6,4,5,1,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,3,7,5,6,1]=>[6,4,5,1,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,3,7,6,1,5]=>[6,4,5,1,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,3,7,6,5,1]=>[6,4,5,1,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,5,1,3,6,7]=>[6,4,3,7,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,5,1,3,7,6]=>[6,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,5,1,6,3,7]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,5,1,6,7,3]=>[6,4,3,7,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,5,1,7,3,6]=>[6,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,5,1,7,6,3]=>[6,4,3,7,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,5,3,1,6,7]=>[6,4,3,5,7,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,5,3,1,7,6]=>[6,4,3,5,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,5,3,6,1,7]=>[6,4,3,5,2,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,5,3,6,7,1]=>[6,4,3,5,2,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,5,3,7,1,6]=>[6,4,3,5,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,5,3,7,6,1]=>[6,4,3,5,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,5,6,1,3,7]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,5,6,1,7,3]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,5,6,3,1,7]=>[6,4,3,2,5,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,5,6,3,7,1]=>[6,4,3,2,5,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,5,6,7,1,3]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,5,6,7,3,1]=>[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]
[2,4,5,7,1,3,6]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,5,7,1,6,3]=>[6,4,3,1,7,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,5,7,3,1,6]=>[6,4,3,1,5,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,5,7,3,6,1]=>[6,4,3,1,5,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,5,7,6,1,3]=>[6,4,3,1,2,7,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,5,7,6,3,1]=>[6,4,3,1,2,5,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]
[2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,1,3,7,5]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,1,5,3,7]=>[6,4,2,7,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,1,5,7,3]=>[6,4,2,7,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,1,7,3,5]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,1,7,5,3]=>[6,4,2,7,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,3,1,5,7]=>[6,4,2,5,7,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,3,1,7,5]=>[6,4,2,5,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,3,5,1,7]=>[6,4,2,5,3,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,3,5,7,1]=>[6,4,2,5,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,3,7,1,5]=>[6,4,2,5,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,3,7,5,1]=>[6,4,2,5,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,5,1,3,7]=>[6,4,2,3,7,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,5,1,7,3]=>[6,4,2,3,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,5,3,1,7]=>[6,4,2,3,5,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,5,3,7,1]=>[6,4,2,3,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,5,7,1,3]=>[6,4,2,3,1,7,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,5,7,3,1]=>[6,4,2,3,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,7,1,3,5]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,7,1,5,3]=>[6,4,2,1,7,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,7,3,1,5]=>[6,4,2,1,5,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,7,3,5,1]=>[6,4,2,1,5,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,7,5,1,3]=>[6,4,2,1,3,7,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,6,7,5,3,1]=>[6,4,2,1,3,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]
[2,4,7,1,3,5,6]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,7,1,5,3,6]=>[6,4,1,7,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,7,1,5,6,3]=>[6,4,1,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,7,1,6,5,3]=>[6,4,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,7,3,1,5,6]=>[6,4,1,5,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,7,3,1,6,5]=>[6,4,1,5,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,7,3,5,1,6]=>[6,4,1,5,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,7,3,5,6,1]=>[6,4,1,5,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,7,3,6,1,5]=>[6,4,1,5,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,7,3,6,5,1]=>[6,4,1,5,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,7,5,1,3,6]=>[6,4,1,3,7,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,7,5,1,6,3]=>[6,4,1,3,7,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,7,5,3,1,6]=>[6,4,1,3,5,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,7,5,3,6,1]=>[6,4,1,3,5,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,7,5,6,1,3]=>[6,4,1,3,2,7,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,7,5,6,3,1]=>[6,4,1,3,2,5,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]
[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,7,6,1,5,3]=>[6,4,1,2,7,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,7,6,3,1,5]=>[6,4,1,2,5,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,7,6,3,5,1]=>[6,4,1,2,5,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,7,6,5,1,3]=>[6,4,1,2,3,7,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,4,7,6,5,3,1]=>[6,4,1,2,3,5,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]
[2,5,1,3,4,6,7]=>[6,3,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,1,3,6,4,7]=>[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,1,3,6,7,4]=>[6,3,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,1,3,7,4,6]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,1,3,7,6,4]=>[6,3,7,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,1,4,3,6,7]=>[6,3,7,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,1,4,6,3,7]=>[6,3,7,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,1,4,6,7,3]=>[6,3,7,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,1,4,7,6,3]=>[6,3,7,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,1,6,3,4,7]=>[6,3,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,1,6,3,7,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,1,6,4,3,7]=>[6,3,7,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,1,6,4,7,3]=>[6,3,7,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,1,6,7,3,4]=>[6,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,1,6,7,4,3]=>[6,3,7,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,1,7,3,4,6]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,1,7,3,6,4]=>[6,3,7,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,1,7,4,6,3]=>[6,3,7,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,1,7,6,3,4]=>[6,3,7,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,1,7,6,4,3]=>[6,3,7,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,3,1,4,6,7]=>[6,3,5,7,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,3,1,4,7,6]=>[6,3,5,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,3,1,6,4,7]=>[6,3,5,7,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,3,1,6,7,4]=>[6,3,5,7,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,3,1,7,4,6]=>[6,3,5,7,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,3,1,7,6,4]=>[6,3,5,7,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,3,4,1,6,7]=>[6,3,5,4,7,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,3,4,1,7,6]=>[6,3,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,3,4,6,1,7]=>[6,3,5,4,2,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,3,4,6,7,1]=>[6,3,5,4,2,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,3,4,7,1,6]=>[6,3,5,4,1,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,3,4,7,6,1]=>[6,3,5,4,1,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,3,6,1,4,7]=>[6,3,5,2,7,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,3,6,1,7,4]=>[6,3,5,2,7,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,3,6,4,1,7]=>[6,3,5,2,4,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,3,6,4,7,1]=>[6,3,5,2,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,3,6,7,1,4]=>[6,3,5,2,1,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,3,6,7,4,1]=>[6,3,5,2,1,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,3,7,1,4,6]=>[6,3,5,1,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,3,7,1,6,4]=>[6,3,5,1,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,3,7,4,1,6]=>[6,3,5,1,4,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,3,7,4,6,1]=>[6,3,5,1,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,3,7,6,1,4]=>[6,3,5,1,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,3,7,6,4,1]=>[6,3,5,1,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,4,1,3,6,7]=>[6,3,4,7,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,4,1,6,3,7]=>[6,3,4,7,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,4,1,6,7,3]=>[6,3,4,7,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,4,1,7,6,3]=>[6,3,4,7,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,4,3,1,6,7]=>[6,3,4,5,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,4,3,1,7,6]=>[6,3,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,4,3,6,1,7]=>[6,3,4,5,2,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,4,3,6,7,1]=>[6,3,4,5,2,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,4,3,7,1,6]=>[6,3,4,5,1,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,4,3,7,6,1]=>[6,3,4,5,1,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,4,6,1,3,7]=>[6,3,4,2,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,4,6,1,7,3]=>[6,3,4,2,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,4,6,3,1,7]=>[6,3,4,2,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,4,6,3,7,1]=>[6,3,4,2,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,4,6,7,1,3]=>[6,3,4,2,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,4,6,7,3,1]=>[6,3,4,2,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,4,7,1,6,3]=>[6,3,4,1,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,4,7,3,1,6]=>[6,3,4,1,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,4,7,3,6,1]=>[6,3,4,1,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,4,7,6,1,3]=>[6,3,4,1,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,4,7,6,3,1]=>[6,3,4,1,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,6,1,3,4,7]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,6,1,3,7,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,6,1,4,3,7]=>[6,3,2,7,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,6,1,4,7,3]=>[6,3,2,7,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,6,1,7,3,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,6,1,7,4,3]=>[6,3,2,7,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,6,3,1,4,7]=>[6,3,2,5,7,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,6,3,1,7,4]=>[6,3,2,5,7,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,6,3,4,1,7]=>[6,3,2,5,4,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,6,3,4,7,1]=>[6,3,2,5,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,6,3,7,1,4]=>[6,3,2,5,1,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,6,3,7,4,1]=>[6,3,2,5,1,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,6,4,1,3,7]=>[6,3,2,4,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,6,4,1,7,3]=>[6,3,2,4,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,6,4,3,1,7]=>[6,3,2,4,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,6,4,3,7,1]=>[6,3,2,4,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,6,4,7,1,3]=>[6,3,2,4,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,6,4,7,3,1]=>[6,3,2,4,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,6,7,1,3,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,6,7,1,4,3]=>[6,3,2,1,7,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,6,7,3,1,4]=>[6,3,2,1,5,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,6,7,3,4,1]=>[6,3,2,1,5,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]
[2,5,6,7,4,1,3]=>[6,3,2,1,4,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,6,7,4,3,1]=>[6,3,2,1,4,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]
[2,5,7,1,3,4,6]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,7,1,3,6,4]=>[6,3,1,7,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,7,1,4,6,3]=>[6,3,1,7,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,7,1,6,3,4]=>[6,3,1,7,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,7,1,6,4,3]=>[6,3,1,7,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,7,3,1,4,6]=>[6,3,1,5,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,7,3,1,6,4]=>[6,3,1,5,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,7,3,4,1,6]=>[6,3,1,5,4,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,7,3,4,6,1]=>[6,3,1,5,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,7,3,6,1,4]=>[6,3,1,5,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,7,3,6,4,1]=>[6,3,1,5,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,7,4,1,6,3]=>[6,3,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,7,4,3,1,6]=>[6,3,1,4,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,7,4,3,6,1]=>[6,3,1,4,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,7,4,6,1,3]=>[6,3,1,4,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,7,4,6,3,1]=>[6,3,1,4,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,7,6,1,3,4]=>[6,3,1,2,7,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,7,6,1,4,3]=>[6,3,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,7,6,3,1,4]=>[6,3,1,2,5,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,7,6,3,4,1]=>[6,3,1,2,5,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]
[2,5,7,6,4,1,3]=>[6,3,1,2,4,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,5,7,6,4,3,1]=>[6,3,1,2,4,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]
[2,6,1,3,4,5,7]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,1,3,4,7,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,1,3,5,4,7]=>[6,2,7,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,1,3,5,7,4]=>[6,2,7,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,1,3,7,4,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,1,3,7,5,4]=>[6,2,7,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,1,4,3,5,7]=>[6,2,7,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,1,4,3,7,5]=>[6,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,1,4,5,3,7]=>[6,2,7,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,1,4,5,7,3]=>[6,2,7,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,1,4,7,3,5]=>[6,2,7,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,1,4,7,5,3]=>[6,2,7,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,1,5,3,4,7]=>[6,2,7,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,1,5,3,7,4]=>[6,2,7,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,1,5,4,7,3]=>[6,2,7,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,1,5,7,3,4]=>[6,2,7,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,1,5,7,4,3]=>[6,2,7,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,1,7,3,4,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,1,7,3,5,4]=>[6,2,7,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,1,7,4,3,5]=>[6,2,7,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,1,7,4,5,3]=>[6,2,7,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,1,7,5,3,4]=>[6,2,7,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,1,7,5,4,3]=>[6,2,7,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,3,1,4,5,7]=>[6,2,5,7,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,3,1,4,7,5]=>[6,2,5,7,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,3,1,5,4,7]=>[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,3,1,5,7,4]=>[6,2,5,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,3,1,7,4,5]=>[6,2,5,7,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,3,1,7,5,4]=>[6,2,5,7,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,3,4,1,5,7]=>[6,2,5,4,7,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,3,4,1,7,5]=>[6,2,5,4,7,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,3,4,5,1,7]=>[6,2,5,4,3,7,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,3,4,5,7,1]=>[6,2,5,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,3,4,7,1,5]=>[6,2,5,4,1,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,3,4,7,5,1]=>[6,2,5,4,1,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,3,5,1,4,7]=>[6,2,5,3,7,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,3,5,1,7,4]=>[6,2,5,3,7,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,3,5,4,1,7]=>[6,2,5,3,4,7,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,3,5,4,7,1]=>[6,2,5,3,4,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,3,5,7,1,4]=>[6,2,5,3,1,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,3,5,7,4,1]=>[6,2,5,3,1,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,3,7,1,4,5]=>[6,2,5,1,7,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,3,7,1,5,4]=>[6,2,5,1,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,3,7,4,1,5]=>[6,2,5,1,4,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,3,7,4,5,1]=>[6,2,5,1,4,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,3,7,5,1,4]=>[6,2,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,3,7,5,4,1]=>[6,2,5,1,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,4,1,3,5,7]=>[6,2,4,7,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,1,3,7,5]=>[6,2,4,7,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,1,5,3,7]=>[6,2,4,7,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,1,5,7,3]=>[6,2,4,7,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,1,7,3,5]=>[6,2,4,7,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,1,7,5,3]=>[6,2,4,7,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,3,1,5,7]=>[6,2,4,5,7,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,3,1,7,5]=>[6,2,4,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,3,5,1,7]=>[6,2,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,3,5,7,1]=>[6,2,4,5,3,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,3,7,1,5]=>[6,2,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,3,7,5,1]=>[6,2,4,5,1,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,5,1,3,7]=>[6,2,4,3,7,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,5,1,7,3]=>[6,2,4,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,5,3,1,7]=>[6,2,4,3,5,7,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,5,3,7,1]=>[6,2,4,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,5,7,1,3]=>[6,2,4,3,1,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,5,7,3,1]=>[6,2,4,3,1,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,7,1,3,5]=>[6,2,4,1,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,7,1,5,3]=>[6,2,4,1,7,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,7,3,1,5]=>[6,2,4,1,5,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,7,3,5,1]=>[6,2,4,1,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,7,5,1,3]=>[6,2,4,1,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,4,7,5,3,1]=>[6,2,4,1,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,5,1,3,4,7]=>[6,2,3,7,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,5,1,3,7,4]=>[6,2,3,7,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,5,1,4,7,3]=>[6,2,3,7,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,5,1,7,3,4]=>[6,2,3,7,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,5,1,7,4,3]=>[6,2,3,7,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,5,3,1,4,7]=>[6,2,3,5,7,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,5,3,1,7,4]=>[6,2,3,5,7,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,5,3,4,1,7]=>[6,2,3,5,4,7,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,5,3,4,7,1]=>[6,2,3,5,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,5,3,7,1,4]=>[6,2,3,5,1,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,5,3,7,4,1]=>[6,2,3,5,1,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,5,4,1,3,7]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,5,4,1,7,3]=>[6,2,3,4,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,5,4,3,1,7]=>[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,5,4,3,7,1]=>[6,2,3,4,5,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,5,4,7,1,3]=>[6,2,3,4,1,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,5,4,7,3,1]=>[6,2,3,4,1,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,5,7,1,3,4]=>[6,2,3,1,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,5,7,1,4,3]=>[6,2,3,1,7,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,5,7,3,1,4]=>[6,2,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,5,7,3,4,1]=>[6,2,3,1,5,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,5,7,4,1,3]=>[6,2,3,1,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,5,7,4,3,1]=>[6,2,3,1,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,7,1,3,4,5]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,7,1,3,5,4]=>[6,2,1,7,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,7,1,4,3,5]=>[6,2,1,7,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,7,1,4,5,3]=>[6,2,1,7,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,7,1,5,3,4]=>[6,2,1,7,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,7,1,5,4,3]=>[6,2,1,7,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,7,3,1,4,5]=>[6,2,1,5,7,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,7,3,1,5,4]=>[6,2,1,5,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,7,3,4,1,5]=>[6,2,1,5,4,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,7,3,4,5,1]=>[6,2,1,5,4,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]
[2,6,7,3,5,1,4]=>[6,2,1,5,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,7,3,5,4,1]=>[6,2,1,5,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]
[2,6,7,4,1,3,5]=>[6,2,1,4,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,7,4,1,5,3]=>[6,2,1,4,7,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,7,4,3,1,5]=>[6,2,1,4,5,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,7,4,3,5,1]=>[6,2,1,4,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,7,4,5,1,3]=>[6,2,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,7,4,5,3,1]=>[6,2,1,4,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]
[2,6,7,5,1,3,4]=>[6,2,1,3,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,7,5,1,4,3]=>[6,2,1,3,7,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,7,5,3,1,4]=>[6,2,1,3,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,7,5,3,4,1]=>[6,2,1,3,5,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]
[2,6,7,5,4,1,3]=>[6,2,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,6,7,5,4,3,1]=>[6,2,1,3,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]
[2,7,1,3,4,5,6]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>[[[],[[[[]]]]],[]]
[2,7,1,3,4,6,5]=>[6,1,7,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>[[[],[[[],[]]]],[]]
[2,7,1,3,5,4,6]=>[6,1,7,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[]],[]]],[]]
[2,7,1,3,5,6,4]=>[6,1,7,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[]],[]]],[]]
[2,7,1,3,6,4,5]=>[6,1,7,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>[[[],[[],[[]]]],[]]
[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[[[],[[],[],[]]],[]]
[2,7,1,4,3,5,6]=>[6,1,7,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,7,1,4,5,3,6]=>[6,1,7,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,7,1,4,5,6,3]=>[6,1,7,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,7,1,4,6,5,3]=>[6,1,7,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,7,1,5,3,4,6]=>[6,1,7,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,7,1,5,3,6,4]=>[6,1,7,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,7,1,5,4,3,6]=>[6,1,7,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,7,1,5,4,6,3]=>[6,1,7,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,7,1,5,6,3,4]=>[6,1,7,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,7,1,5,6,4,3]=>[6,1,7,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,7,1,6,3,4,5]=>[6,1,7,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>[[[],[],[[[]]]],[]]
[2,7,1,6,3,5,4]=>[6,1,7,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[[[],[],[[],[]]],[]]
[2,7,1,6,4,3,5]=>[6,1,7,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]
[2,7,1,6,4,5,3]=>[6,1,7,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]
[2,7,1,6,5,3,4]=>[6,1,7,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[],[],[],[[]]],[]]
[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[[[],[],[],[],[]],[]]
[2,7,3,1,4,5,6]=>[6,1,5,7,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>[[[],[[[[]]]]],[]]
[2,7,3,1,4,6,5]=>[6,1,5,7,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>[[[],[[[],[]]]],[]]
[2,7,3,1,5,4,6]=>[6,1,5,7,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[]],[]]],[]]
[2,7,3,1,5,6,4]=>[6,1,5,7,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[]],[]]],[]]
[2,7,3,1,6,4,5]=>[6,1,5,7,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>[[[],[[],[[]]]],[]]
[2,7,3,1,6,5,4]=>[6,1,5,7,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[[[],[[],[],[]]],[]]
[2,7,3,4,1,5,6]=>[6,1,5,4,7,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>[[[],[[[[]]]]],[]]
[2,7,3,4,1,6,5]=>[6,1,5,4,7,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>[[[],[[[],[]]]],[]]
[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>[[[],[[[[]]]]],[]]
[2,7,3,4,5,6,1]=>[6,1,5,4,3,2,7]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>[[[],[[[[]]]]],[]]
[2,7,3,4,6,1,5]=>[6,1,5,4,2,7,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>[[[],[[[],[]]]],[]]
[2,7,3,4,6,5,1]=>[6,1,5,4,2,3,7]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>[[[],[[[],[]]]],[]]
[2,7,3,5,1,4,6]=>[6,1,5,3,7,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[]],[]]],[]]
[2,7,3,5,1,6,4]=>[6,1,5,3,7,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[]],[]]],[]]
[2,7,3,5,4,1,6]=>[6,1,5,3,4,7,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[]],[]]],[]]
[2,7,3,5,4,6,1]=>[6,1,5,3,4,2,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[]],[]]],[]]
[2,7,3,5,6,1,4]=>[6,1,5,3,2,7,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[]],[]]],[]]
[2,7,3,5,6,4,1]=>[6,1,5,3,2,4,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[]],[]]],[]]
[2,7,3,6,1,4,5]=>[6,1,5,2,7,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>[[[],[[],[[]]]],[]]
[2,7,3,6,1,5,4]=>[6,1,5,2,7,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[[[],[[],[],[]]],[]]
[2,7,3,6,4,1,5]=>[6,1,5,2,4,7,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>[[[],[[],[[]]]],[]]
[2,7,3,6,4,5,1]=>[6,1,5,2,4,3,7]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>[[[],[[],[[]]]],[]]
[2,7,3,6,5,1,4]=>[6,1,5,2,3,7,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[[[],[[],[],[]]],[]]
[2,7,3,6,5,4,1]=>[6,1,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[[[],[[],[],[]]],[]]
[2,7,4,1,3,5,6]=>[6,1,4,7,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,7,4,1,5,3,6]=>[6,1,4,7,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,7,4,1,5,6,3]=>[6,1,4,7,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,7,4,1,6,3,5]=>[6,1,4,7,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,7,4,1,6,5,3]=>[6,1,4,7,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,7,4,3,1,5,6]=>[6,1,4,5,7,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,7,4,3,1,6,5]=>[6,1,4,5,7,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,7,4,3,5,1,6]=>[6,1,4,5,3,7,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,7,4,3,5,6,1]=>[6,1,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,7,4,3,6,1,5]=>[6,1,4,5,2,7,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,7,4,3,6,5,1]=>[6,1,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,7,4,5,1,3,6]=>[6,1,4,3,7,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,7,4,5,1,6,3]=>[6,1,4,3,7,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,7,4,5,3,1,6]=>[6,1,4,3,5,7,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,7,4,5,3,6,1]=>[6,1,4,3,5,2,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,7,4,5,6,1,3]=>[6,1,4,3,2,7,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,7,4,5,6,3,1]=>[6,1,4,3,2,5,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]
[2,7,4,6,1,3,5]=>[6,1,4,2,7,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,7,4,6,1,5,3]=>[6,1,4,2,7,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,7,4,6,3,1,5]=>[6,1,4,2,5,7,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,7,4,6,3,5,1]=>[6,1,4,2,5,3,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,7,4,6,5,1,3]=>[6,1,4,2,3,7,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,7,4,6,5,3,1]=>[6,1,4,2,3,5,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]
[2,7,5,1,3,4,6]=>[6,1,3,7,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,7,5,1,3,6,4]=>[6,1,3,7,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,7,5,1,4,3,6]=>[6,1,3,7,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,7,5,1,4,6,3]=>[6,1,3,7,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,7,5,1,6,3,4]=>[6,1,3,7,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,7,5,1,6,4,3]=>[6,1,3,7,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,7,5,3,1,4,6]=>[6,1,3,5,7,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,7,5,3,1,6,4]=>[6,1,3,5,7,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,7,5,3,4,1,6]=>[6,1,3,5,4,7,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,7,5,3,4,6,1]=>[6,1,3,5,4,2,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,7,5,3,6,1,4]=>[6,1,3,5,2,7,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,7,5,3,6,4,1]=>[6,1,3,5,2,4,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,7,5,4,1,3,6]=>[6,1,3,4,7,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,7,5,4,1,6,3]=>[6,1,3,4,7,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,7,5,4,3,6,1]=>[6,1,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,7,5,4,6,1,3]=>[6,1,3,4,2,7,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,7,5,4,6,3,1]=>[6,1,3,4,2,5,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,7,5,6,1,3,4]=>[6,1,3,2,7,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,7,5,6,1,4,3]=>[6,1,3,2,7,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,7,5,6,3,1,4]=>[6,1,3,2,5,7,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,7,5,6,3,4,1]=>[6,1,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]
[2,7,5,6,4,1,3]=>[6,1,3,2,4,7,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,7,5,6,4,3,1]=>[6,1,3,2,4,5,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]
[2,7,6,1,3,4,5]=>[6,1,2,7,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>[[[],[],[[[]]]],[]]
[2,7,6,1,3,5,4]=>[6,1,2,7,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[[[],[],[[],[]]],[]]
[2,7,6,1,4,3,5]=>[6,1,2,7,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]
[2,7,6,1,4,5,3]=>[6,1,2,7,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]
[2,7,6,1,5,3,4]=>[6,1,2,7,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[],[],[],[[]]],[]]
[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[[[],[],[],[],[]],[]]
[2,7,6,3,1,4,5]=>[6,1,2,5,7,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>[[[],[],[[[]]]],[]]
[2,7,6,3,1,5,4]=>[6,1,2,5,7,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[[[],[],[[],[]]],[]]
[2,7,6,3,4,1,5]=>[6,1,2,5,4,7,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>[[[],[],[[[]]]],[]]
[2,7,6,3,4,5,1]=>[6,1,2,5,4,3,7]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>[[[],[],[[[]]]],[]]
[2,7,6,3,5,1,4]=>[6,1,2,5,3,7,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[[[],[],[[],[]]],[]]
[2,7,6,3,5,4,1]=>[6,1,2,5,3,4,7]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[[[],[],[[],[]]],[]]
[2,7,6,4,1,3,5]=>[6,1,2,4,7,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]
[2,7,6,4,1,5,3]=>[6,1,2,4,7,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]
[2,7,6,4,3,1,5]=>[6,1,2,4,5,7,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]
[2,7,6,4,3,5,1]=>[6,1,2,4,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]
[2,7,6,4,5,1,3]=>[6,1,2,4,3,7,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]
[2,7,6,4,5,3,1]=>[6,1,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]
[2,7,6,5,1,3,4]=>[6,1,2,3,7,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[],[],[],[[]]],[]]
[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[[[],[],[],[],[]],[]]
[2,7,6,5,3,1,4]=>[6,1,2,3,5,7,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[],[],[],[[]]],[]]
[2,7,6,5,3,4,1]=>[6,1,2,3,5,4,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[],[],[],[[]]],[]]
[2,7,6,5,4,1,3]=>[6,1,2,3,4,7,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[[[],[],[],[],[]],[]]
[2,7,6,5,4,3,1]=>[6,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[[[],[],[],[],[]],[]]
[3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]
[3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]
[3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,1,2,4,7,5,6]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]
[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]
[3,1,2,5,4,6,7]=>[5,7,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,1,2,5,6,4,7]=>[5,7,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,1,2,5,6,7,4]=>[5,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,1,2,5,7,6,4]=>[5,7,6,3,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,1,2,6,4,5,7]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,1,2,6,4,7,5]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,1,2,6,5,7,4]=>[5,7,6,2,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,1,2,6,7,4,5]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,1,2,6,7,5,4]=>[5,7,6,2,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,1,2,7,4,5,6]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]
[3,1,2,7,4,6,5]=>[5,7,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]
[3,1,2,7,5,4,6]=>[5,7,6,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,1,2,7,5,6,4]=>[5,7,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,1,2,7,6,4,5]=>[5,7,6,1,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]
[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]
[3,1,4,2,5,6,7]=>[5,7,4,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]
[3,1,4,2,5,7,6]=>[5,7,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]
[3,1,4,2,6,5,7]=>[5,7,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,1,4,2,6,7,5]=>[5,7,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,1,4,2,7,5,6]=>[5,7,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]
[3,1,4,2,7,6,5]=>[5,7,4,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]
[3,1,4,5,2,6,7]=>[5,7,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]
[3,1,4,5,2,7,6]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]
[3,1,4,5,6,2,7]=>[5,7,4,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]
[3,1,4,5,6,7,2]=>[5,7,4,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]
[3,1,4,5,7,2,6]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]
[3,1,4,5,7,6,2]=>[5,7,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]
[3,1,4,6,2,5,7]=>[5,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,1,4,6,2,7,5]=>[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,1,4,6,5,2,7]=>[5,7,4,2,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,1,4,6,5,7,2]=>[5,7,4,2,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,1,4,6,7,2,5]=>[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,1,4,6,7,5,2]=>[5,7,4,2,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,1,4,7,2,5,6]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]
[3,1,4,7,2,6,5]=>[5,7,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]
[3,1,4,7,5,2,6]=>[5,7,4,1,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]
[3,1,4,7,5,6,2]=>[5,7,4,1,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]
[3,1,4,7,6,2,5]=>[5,7,4,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]
[3,1,4,7,6,5,2]=>[5,7,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]
[3,1,5,2,4,6,7]=>[5,7,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,1,5,2,6,4,7]=>[5,7,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,1,5,2,6,7,4]=>[5,7,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,1,5,2,7,4,6]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,1,5,2,7,6,4]=>[5,7,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,1,5,4,2,6,7]=>[5,7,3,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,1,5,4,2,7,6]=>[5,7,3,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,1,5,4,6,2,7]=>[5,7,3,4,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,1,5,4,6,7,2]=>[5,7,3,4,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,1,5,4,7,2,6]=>[5,7,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,1,5,4,7,6,2]=>[5,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,1,5,6,2,4,7]=>[5,7,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,1,5,6,2,7,4]=>[5,7,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,1,5,6,4,2,7]=>[5,7,3,2,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,1,5,6,4,7,2]=>[5,7,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,1,5,6,7,2,4]=>[5,7,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,1,5,6,7,4,2]=>[5,7,3,2,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,1,5,7,2,4,6]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,1,5,7,2,6,4]=>[5,7,3,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,1,5,7,4,2,6]=>[5,7,3,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,1,5,7,4,6,2]=>[5,7,3,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,1,5,7,6,2,4]=>[5,7,3,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,1,5,7,6,4,2]=>[5,7,3,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,1,6,2,4,5,7]=>[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,1,6,2,4,7,5]=>[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,1,6,2,5,4,7]=>[5,7,2,6,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,1,6,2,5,7,4]=>[5,7,2,6,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,1,6,2,7,4,5]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,1,6,2,7,5,4]=>[5,7,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,1,6,4,2,5,7]=>[5,7,2,4,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,1,6,4,5,2,7]=>[5,7,2,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,1,6,4,5,7,2]=>[5,7,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,1,6,4,7,2,5]=>[5,7,2,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,1,6,4,7,5,2]=>[5,7,2,4,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,1,6,5,2,4,7]=>[5,7,2,3,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,1,6,5,2,7,4]=>[5,7,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,1,6,5,4,2,7]=>[5,7,2,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,1,6,5,4,7,2]=>[5,7,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,1,6,5,7,2,4]=>[5,7,2,3,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,1,6,5,7,4,2]=>[5,7,2,3,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,1,6,7,2,4,5]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,1,6,7,2,5,4]=>[5,7,2,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,1,6,7,4,2,5]=>[5,7,2,1,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,1,6,7,4,5,2]=>[5,7,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,1,6,7,5,2,4]=>[5,7,2,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,1,6,7,5,4,2]=>[5,7,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,1,7,2,4,5,6]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]
[3,1,7,2,4,6,5]=>[5,7,1,6,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]
[3,1,7,2,5,4,6]=>[5,7,1,6,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,1,7,2,5,6,4]=>[5,7,1,6,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,1,7,2,6,4,5]=>[5,7,1,6,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]
[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]
[3,1,7,4,2,5,6]=>[5,7,1,4,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]
[3,1,7,4,2,6,5]=>[5,7,1,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]
[3,1,7,4,5,2,6]=>[5,7,1,4,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]
[3,1,7,4,5,6,2]=>[5,7,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]
[3,1,7,4,6,2,5]=>[5,7,1,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]
[3,1,7,4,6,5,2]=>[5,7,1,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]
[3,1,7,5,2,4,6]=>[5,7,1,3,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,1,7,5,2,6,4]=>[5,7,1,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,1,7,5,4,2,6]=>[5,7,1,3,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,1,7,5,4,6,2]=>[5,7,1,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,1,7,5,6,2,4]=>[5,7,1,3,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,1,7,5,6,4,2]=>[5,7,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,1,7,6,2,4,5]=>[5,7,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]
[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]
[3,1,7,6,4,2,5]=>[5,7,1,2,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]
[3,1,7,6,4,5,2]=>[5,7,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]
[3,1,7,6,5,2,4]=>[5,7,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]
[3,1,7,6,5,4,2]=>[5,7,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]
[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]
[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]
[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,2,1,4,6,7,5]=>[5,6,7,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,2,1,4,7,5,6]=>[5,6,7,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]
[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]
[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,2,1,5,6,4,7]=>[5,6,7,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,2,1,5,6,7,4]=>[5,6,7,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,2,1,5,7,6,4]=>[5,6,7,3,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,2,1,6,4,5,7]=>[5,6,7,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,2,1,6,4,7,5]=>[5,6,7,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,2,1,6,5,7,4]=>[5,6,7,2,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,2,1,6,7,4,5]=>[5,6,7,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,2,1,6,7,5,4]=>[5,6,7,2,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,2,1,7,4,5,6]=>[5,6,7,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]
[3,2,1,7,4,6,5]=>[5,6,7,1,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]
[3,2,1,7,5,4,6]=>[5,6,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,2,1,7,6,4,5]=>[5,6,7,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]
[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]
[3,2,4,1,5,6,7]=>[5,6,4,7,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]
[3,2,4,1,5,7,6]=>[5,6,4,7,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]
[3,2,4,1,6,5,7]=>[5,6,4,7,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,2,4,1,6,7,5]=>[5,6,4,7,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,2,4,1,7,5,6]=>[5,6,4,7,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]
[3,2,4,1,7,6,5]=>[5,6,4,7,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]
[3,2,4,5,1,6,7]=>[5,6,4,3,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]
[3,2,4,5,1,7,6]=>[5,6,4,3,7,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]
[3,2,4,5,6,1,7]=>[5,6,4,3,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]
[3,2,4,5,6,7,1]=>[5,6,4,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]
[3,2,4,5,7,1,6]=>[5,6,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]
[3,2,4,5,7,6,1]=>[5,6,4,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]
[3,2,4,6,1,5,7]=>[5,6,4,2,7,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,2,4,6,1,7,5]=>[5,6,4,2,7,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,2,4,6,5,1,7]=>[5,6,4,2,3,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,2,4,6,5,7,1]=>[5,6,4,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,2,4,6,7,1,5]=>[5,6,4,2,1,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,2,4,6,7,5,1]=>[5,6,4,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,2,4,7,1,5,6]=>[5,6,4,1,7,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]
[3,2,4,7,1,6,5]=>[5,6,4,1,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]
[3,2,4,7,5,1,6]=>[5,6,4,1,3,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]
[3,2,4,7,5,6,1]=>[5,6,4,1,3,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]
[3,2,4,7,6,1,5]=>[5,6,4,1,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]
[3,2,4,7,6,5,1]=>[5,6,4,1,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]
[3,2,5,1,4,6,7]=>[5,6,3,7,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,2,5,1,6,4,7]=>[5,6,3,7,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,2,5,1,6,7,4]=>[5,6,3,7,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,2,5,1,7,6,4]=>[5,6,3,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,2,5,4,1,6,7]=>[5,6,3,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,2,5,4,1,7,6]=>[5,6,3,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,2,5,4,6,1,7]=>[5,6,3,4,2,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,2,5,4,6,7,1]=>[5,6,3,4,2,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,2,5,4,7,1,6]=>[5,6,3,4,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,2,5,4,7,6,1]=>[5,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,2,5,6,1,4,7]=>[5,6,3,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,2,5,6,1,7,4]=>[5,6,3,2,7,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,2,5,6,4,1,7]=>[5,6,3,2,4,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,2,5,6,4,7,1]=>[5,6,3,2,4,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,2,5,6,7,1,4]=>[5,6,3,2,1,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,2,5,6,7,4,1]=>[5,6,3,2,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,2,5,7,1,6,4]=>[5,6,3,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,2,5,7,4,1,6]=>[5,6,3,1,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,2,5,7,4,6,1]=>[5,6,3,1,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,2,5,7,6,1,4]=>[5,6,3,1,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,2,5,7,6,4,1]=>[5,6,3,1,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,2,6,1,4,5,7]=>[5,6,2,7,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,2,6,1,4,7,5]=>[5,6,2,7,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,2,6,1,5,7,4]=>[5,6,2,7,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,2,6,1,7,4,5]=>[5,6,2,7,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,2,6,1,7,5,4]=>[5,6,2,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,2,6,4,1,5,7]=>[5,6,2,4,7,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,2,6,4,1,7,5]=>[5,6,2,4,7,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,2,6,4,5,1,7]=>[5,6,2,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,2,6,4,5,7,1]=>[5,6,2,4,3,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,2,6,4,7,1,5]=>[5,6,2,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,2,6,4,7,5,1]=>[5,6,2,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,2,6,5,1,4,7]=>[5,6,2,3,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,2,6,5,1,7,4]=>[5,6,2,3,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,2,6,5,4,1,7]=>[5,6,2,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,2,6,5,4,7,1]=>[5,6,2,3,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,2,6,5,7,1,4]=>[5,6,2,3,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,2,6,5,7,4,1]=>[5,6,2,3,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,2,6,7,1,4,5]=>[5,6,2,1,7,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,2,6,7,1,5,4]=>[5,6,2,1,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,2,6,7,4,1,5]=>[5,6,2,1,4,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,2,6,7,4,5,1]=>[5,6,2,1,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,2,6,7,5,1,4]=>[5,6,2,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,2,6,7,5,4,1]=>[5,6,2,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,2,7,1,4,5,6]=>[5,6,1,7,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]
[3,2,7,1,4,6,5]=>[5,6,1,7,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]
[3,2,7,1,5,4,6]=>[5,6,1,7,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,2,7,1,5,6,4]=>[5,6,1,7,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,2,7,1,6,4,5]=>[5,6,1,7,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]
[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]
[3,2,7,4,1,5,6]=>[5,6,1,4,7,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]
[3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]
[3,2,7,4,5,1,6]=>[5,6,1,4,3,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]
[3,2,7,4,5,6,1]=>[5,6,1,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]
[3,2,7,4,6,1,5]=>[5,6,1,4,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]
[3,2,7,4,6,5,1]=>[5,6,1,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]
[3,2,7,5,1,4,6]=>[5,6,1,3,7,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,2,7,5,1,6,4]=>[5,6,1,3,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,2,7,5,4,1,6]=>[5,6,1,3,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,2,7,5,4,6,1]=>[5,6,1,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,2,7,5,6,1,4]=>[5,6,1,3,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,2,7,5,6,4,1]=>[5,6,1,3,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,2,7,6,1,4,5]=>[5,6,1,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]
[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]
[3,2,7,6,4,1,5]=>[5,6,1,2,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]
[3,2,7,6,4,5,1]=>[5,6,1,2,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]
[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]
[3,2,7,6,5,4,1]=>[5,6,1,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]
[3,4,1,2,5,6,7]=>[5,4,7,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]
[3,4,1,2,5,7,6]=>[5,4,7,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]
[3,4,1,2,6,5,7]=>[5,4,7,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,1,2,6,7,5]=>[5,4,7,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,1,2,7,5,6]=>[5,4,7,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]
[3,4,1,2,7,6,5]=>[5,4,7,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]
[3,4,1,5,2,6,7]=>[5,4,7,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]
[3,4,1,5,2,7,6]=>[5,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]
[3,4,1,5,6,2,7]=>[5,4,7,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]
[3,4,1,5,6,7,2]=>[5,4,7,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]
[3,4,1,5,7,2,6]=>[5,4,7,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]
[3,4,1,5,7,6,2]=>[5,4,7,3,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]
[3,4,1,6,2,5,7]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,1,6,2,7,5]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,1,6,5,2,7]=>[5,4,7,2,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,1,6,5,7,2]=>[5,4,7,2,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,1,6,7,2,5]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,1,6,7,5,2]=>[5,4,7,2,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,1,7,2,5,6]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]
[3,4,1,7,2,6,5]=>[5,4,7,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]
[3,4,1,7,5,2,6]=>[5,4,7,1,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]
[3,4,1,7,5,6,2]=>[5,4,7,1,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]
[3,4,1,7,6,2,5]=>[5,4,7,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]
[3,4,1,7,6,5,2]=>[5,4,7,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]
[3,4,2,1,5,6,7]=>[5,4,6,7,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]
[3,4,2,1,5,7,6]=>[5,4,6,7,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]
[3,4,2,1,6,5,7]=>[5,4,6,7,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,2,1,6,7,5]=>[5,4,6,7,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,2,1,7,5,6]=>[5,4,6,7,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]
[3,4,2,1,7,6,5]=>[5,4,6,7,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]
[3,4,2,5,1,6,7]=>[5,4,6,3,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]
[3,4,2,5,1,7,6]=>[5,4,6,3,7,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]
[3,4,2,5,6,1,7]=>[5,4,6,3,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]
[3,4,2,5,6,7,1]=>[5,4,6,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]
[3,4,2,5,7,1,6]=>[5,4,6,3,1,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]
[3,4,2,5,7,6,1]=>[5,4,6,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]
[3,4,2,6,1,5,7]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,2,6,1,7,5]=>[5,4,6,2,7,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,2,6,5,1,7]=>[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,2,6,5,7,1]=>[5,4,6,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,2,6,7,1,5]=>[5,4,6,2,1,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,2,6,7,5,1]=>[5,4,6,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,2,7,1,5,6]=>[5,4,6,1,7,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]
[3,4,2,7,1,6,5]=>[5,4,6,1,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]
[3,4,2,7,5,1,6]=>[5,4,6,1,3,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]
[3,4,2,7,5,6,1]=>[5,4,6,1,3,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]
[3,4,2,7,6,1,5]=>[5,4,6,1,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]
[3,4,2,7,6,5,1]=>[5,4,6,1,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]
[3,4,5,1,2,6,7]=>[5,4,3,7,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]
[3,4,5,1,2,7,6]=>[5,4,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]
[3,4,5,1,6,2,7]=>[5,4,3,7,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]
[3,4,5,1,6,7,2]=>[5,4,3,7,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]
[3,4,5,1,7,2,6]=>[5,4,3,7,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]
[3,4,5,1,7,6,2]=>[5,4,3,7,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]
[3,4,5,2,1,6,7]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]
[3,4,5,2,1,7,6]=>[5,4,3,6,7,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]
[3,4,5,2,6,1,7]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]
[3,4,5,2,6,7,1]=>[5,4,3,6,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]
[3,4,5,2,7,1,6]=>[5,4,3,6,1,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]
[3,4,5,2,7,6,1]=>[5,4,3,6,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]
[3,4,5,6,1,2,7]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]
[3,4,5,6,1,7,2]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]
[3,4,5,6,2,1,7]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]
[3,4,5,6,2,7,1]=>[5,4,3,2,6,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]
[3,4,5,6,7,1,2]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]
[3,4,5,6,7,2,1]=>[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]
[3,4,5,7,1,2,6]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]
[3,4,5,7,1,6,2]=>[5,4,3,1,7,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]
[3,4,5,7,2,1,6]=>[5,4,3,1,6,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]
[3,4,5,7,2,6,1]=>[5,4,3,1,6,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]
[3,4,5,7,6,1,2]=>[5,4,3,1,2,7,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]
[3,4,5,7,6,2,1]=>[5,4,3,1,2,6,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]
[3,4,6,1,2,5,7]=>[5,4,2,7,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,6,1,2,7,5]=>[5,4,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,6,1,5,2,7]=>[5,4,2,7,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,6,1,5,7,2]=>[5,4,2,7,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,6,1,7,2,5]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,6,1,7,5,2]=>[5,4,2,7,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,6,2,1,5,7]=>[5,4,2,6,7,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,6,2,1,7,5]=>[5,4,2,6,7,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,6,2,5,1,7]=>[5,4,2,6,3,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,6,2,5,7,1]=>[5,4,2,6,3,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,6,2,7,1,5]=>[5,4,2,6,1,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,6,2,7,5,1]=>[5,4,2,6,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,6,5,1,2,7]=>[5,4,2,3,7,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,6,5,1,7,2]=>[5,4,2,3,7,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,6,5,2,1,7]=>[5,4,2,3,6,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,6,5,2,7,1]=>[5,4,2,3,6,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,6,5,7,1,2]=>[5,4,2,3,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,6,5,7,2,1]=>[5,4,2,3,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,6,7,1,2,5]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,6,7,1,5,2]=>[5,4,2,1,7,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,6,7,2,1,5]=>[5,4,2,1,6,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,6,7,2,5,1]=>[5,4,2,1,6,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,6,7,5,1,2]=>[5,4,2,1,3,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]
[3,4,6,7,5,2,1]=>[5,4,2,1,3,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]
[3,4,7,1,2,5,6]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]
[3,4,7,1,2,6,5]=>[5,4,1,7,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]
[3,4,7,1,5,2,6]=>[5,4,1,7,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]
[3,4,7,1,5,6,2]=>[5,4,1,7,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]
[3,4,7,1,6,2,5]=>[5,4,1,7,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]
[3,4,7,1,6,5,2]=>[5,4,1,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]
[3,4,7,2,1,5,6]=>[5,4,1,6,7,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]
[3,4,7,2,1,6,5]=>[5,4,1,6,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]
[3,4,7,2,5,1,6]=>[5,4,1,6,3,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]
[3,4,7,2,5,6,1]=>[5,4,1,6,3,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]
[3,4,7,2,6,1,5]=>[5,4,1,6,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]
[3,4,7,2,6,5,1]=>[5,4,1,6,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]
[3,4,7,5,1,2,6]=>[5,4,1,3,7,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]
[3,4,7,5,1,6,2]=>[5,4,1,3,7,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]
[3,4,7,5,2,1,6]=>[5,4,1,3,6,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]
[3,4,7,5,2,6,1]=>[5,4,1,3,6,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]
[3,4,7,5,6,1,2]=>[5,4,1,3,2,7,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]
[3,4,7,5,6,2,1]=>[5,4,1,3,2,6,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]
[3,4,7,6,1,2,5]=>[5,4,1,2,7,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]
[3,4,7,6,1,5,2]=>[5,4,1,2,7,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]
[3,4,7,6,2,1,5]=>[5,4,1,2,6,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]
[3,4,7,6,2,5,1]=>[5,4,1,2,6,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]
[3,4,7,6,5,1,2]=>[5,4,1,2,3,7,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]
[3,4,7,6,5,2,1]=>[5,4,1,2,3,6,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]
[3,5,1,2,4,6,7]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,1,2,6,4,7]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,1,2,6,7,4]=>[5,3,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,1,2,7,4,6]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,1,2,7,6,4]=>[5,3,7,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,1,4,2,6,7]=>[5,3,7,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,1,4,2,7,6]=>[5,3,7,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,1,4,6,2,7]=>[5,3,7,4,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,1,4,6,7,2]=>[5,3,7,4,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,1,4,7,2,6]=>[5,3,7,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,1,4,7,6,2]=>[5,3,7,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,1,6,2,4,7]=>[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,1,6,2,7,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,1,6,4,2,7]=>[5,3,7,2,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,1,6,4,7,2]=>[5,3,7,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,1,6,7,2,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,1,6,7,4,2]=>[5,3,7,2,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,1,7,2,4,6]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,1,7,4,2,6]=>[5,3,7,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,1,7,4,6,2]=>[5,3,7,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,1,7,6,2,4]=>[5,3,7,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,1,7,6,4,2]=>[5,3,7,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,2,1,4,6,7]=>[5,3,6,7,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,2,1,6,4,7]=>[5,3,6,7,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,2,1,6,7,4]=>[5,3,6,7,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,2,1,7,4,6]=>[5,3,6,7,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,2,1,7,6,4]=>[5,3,6,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,2,4,1,6,7]=>[5,3,6,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,2,4,1,7,6]=>[5,3,6,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,2,4,6,1,7]=>[5,3,6,4,2,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,2,4,6,7,1]=>[5,3,6,4,2,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,2,4,7,1,6]=>[5,3,6,4,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,2,4,7,6,1]=>[5,3,6,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,2,6,1,4,7]=>[5,3,6,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,2,6,1,7,4]=>[5,3,6,2,7,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,2,6,4,1,7]=>[5,3,6,2,4,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,2,6,4,7,1]=>[5,3,6,2,4,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,2,6,7,1,4]=>[5,3,6,2,1,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,2,6,7,4,1]=>[5,3,6,2,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,2,7,1,4,6]=>[5,3,6,1,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,2,7,1,6,4]=>[5,3,6,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,2,7,4,1,6]=>[5,3,6,1,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,2,7,4,6,1]=>[5,3,6,1,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,2,7,6,1,4]=>[5,3,6,1,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,2,7,6,4,1]=>[5,3,6,1,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,4,1,2,6,7]=>[5,3,4,7,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,4,1,2,7,6]=>[5,3,4,7,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,4,1,6,2,7]=>[5,3,4,7,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,4,1,6,7,2]=>[5,3,4,7,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,4,1,7,2,6]=>[5,3,4,7,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,4,1,7,6,2]=>[5,3,4,7,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,4,2,1,6,7]=>[5,3,4,6,7,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,4,2,1,7,6]=>[5,3,4,6,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,4,2,6,1,7]=>[5,3,4,6,2,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,4,2,6,7,1]=>[5,3,4,6,2,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,4,2,7,1,6]=>[5,3,4,6,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,4,2,7,6,1]=>[5,3,4,6,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,4,6,1,2,7]=>[5,3,4,2,7,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,4,6,1,7,2]=>[5,3,4,2,7,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,4,6,2,1,7]=>[5,3,4,2,6,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,4,6,2,7,1]=>[5,3,4,2,6,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,4,6,7,1,2]=>[5,3,4,2,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,4,6,7,2,1]=>[5,3,4,2,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,4,7,1,2,6]=>[5,3,4,1,7,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,4,7,1,6,2]=>[5,3,4,1,7,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,4,7,2,1,6]=>[5,3,4,1,6,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,4,7,2,6,1]=>[5,3,4,1,6,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,4,7,6,1,2]=>[5,3,4,1,2,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,4,7,6,2,1]=>[5,3,4,1,2,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,6,1,2,4,7]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,6,1,2,7,4]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,6,1,4,2,7]=>[5,3,2,7,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,6,1,4,7,2]=>[5,3,2,7,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,6,1,7,2,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,6,1,7,4,2]=>[5,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,6,2,1,4,7]=>[5,3,2,6,7,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,6,2,1,7,4]=>[5,3,2,6,7,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,6,2,4,1,7]=>[5,3,2,6,4,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,6,2,4,7,1]=>[5,3,2,6,4,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,6,2,7,1,4]=>[5,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,6,2,7,4,1]=>[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,6,4,1,2,7]=>[5,3,2,4,7,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,6,4,1,7,2]=>[5,3,2,4,7,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,6,4,2,1,7]=>[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,6,4,2,7,1]=>[5,3,2,4,6,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,6,4,7,1,2]=>[5,3,2,4,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,6,4,7,2,1]=>[5,3,2,4,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,6,7,1,2,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,6,7,1,4,2]=>[5,3,2,1,7,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,6,7,2,1,4]=>[5,3,2,1,6,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,6,7,2,4,1]=>[5,3,2,1,6,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,6,7,4,1,2]=>[5,3,2,1,4,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]
[3,5,6,7,4,2,1]=>[5,3,2,1,4,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]
[3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,7,1,2,6,4]=>[5,3,1,7,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,7,1,4,2,6]=>[5,3,1,7,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,7,1,4,6,2]=>[5,3,1,7,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,7,1,6,2,4]=>[5,3,1,7,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,7,1,6,4,2]=>[5,3,1,7,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,7,2,1,4,6]=>[5,3,1,6,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,7,2,1,6,4]=>[5,3,1,6,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,7,2,4,1,6]=>[5,3,1,6,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,7,2,4,6,1]=>[5,3,1,6,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,7,2,6,1,4]=>[5,3,1,6,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,7,2,6,4,1]=>[5,3,1,6,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,7,4,1,2,6]=>[5,3,1,4,7,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,7,4,1,6,2]=>[5,3,1,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,7,4,2,1,6]=>[5,3,1,4,6,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,7,4,2,6,1]=>[5,3,1,4,6,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,7,4,6,1,2]=>[5,3,1,4,2,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,7,4,6,2,1]=>[5,3,1,4,2,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,7,6,1,2,4]=>[5,3,1,2,7,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,7,6,1,4,2]=>[5,3,1,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,7,6,2,1,4]=>[5,3,1,2,6,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,7,6,2,4,1]=>[5,3,1,2,6,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,5,7,6,4,1,2]=>[5,3,1,2,4,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]
[3,5,7,6,4,2,1]=>[5,3,1,2,4,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]
[3,6,1,2,4,5,7]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,1,2,4,7,5]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,1,2,5,4,7]=>[5,2,7,6,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,1,2,5,7,4]=>[5,2,7,6,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,1,2,7,4,5]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,1,2,7,5,4]=>[5,2,7,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,1,4,2,5,7]=>[5,2,7,4,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,1,4,2,7,5]=>[5,2,7,4,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,1,4,5,7,2]=>[5,2,7,4,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,1,4,7,5,2]=>[5,2,7,4,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,1,5,2,4,7]=>[5,2,7,3,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,1,5,2,7,4]=>[5,2,7,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,1,5,4,7,2]=>[5,2,7,3,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,1,5,7,2,4]=>[5,2,7,3,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,1,5,7,4,2]=>[5,2,7,3,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,1,7,2,4,5]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,1,7,2,5,4]=>[5,2,7,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,1,7,4,2,5]=>[5,2,7,1,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,1,7,4,5,2]=>[5,2,7,1,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,1,7,5,4,2]=>[5,2,7,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,2,1,4,5,7]=>[5,2,6,7,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,2,1,4,7,5]=>[5,2,6,7,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,2,1,5,4,7]=>[5,2,6,7,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,2,1,5,7,4]=>[5,2,6,7,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,2,1,7,4,5]=>[5,2,6,7,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,2,1,7,5,4]=>[5,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,2,4,1,5,7]=>[5,2,6,4,7,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,2,4,1,7,5]=>[5,2,6,4,7,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,2,4,5,1,7]=>[5,2,6,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,2,4,5,7,1]=>[5,2,6,4,3,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,2,4,7,1,5]=>[5,2,6,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,2,4,7,5,1]=>[5,2,6,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,2,5,1,4,7]=>[5,2,6,3,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,2,5,1,7,4]=>[5,2,6,3,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,2,5,4,1,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,2,5,4,7,1]=>[5,2,6,3,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,2,5,7,1,4]=>[5,2,6,3,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,2,5,7,4,1]=>[5,2,6,3,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,2,7,1,4,5]=>[5,2,6,1,7,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,2,7,1,5,4]=>[5,2,6,1,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,2,7,4,1,5]=>[5,2,6,1,4,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,2,7,4,5,1]=>[5,2,6,1,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,2,7,5,1,4]=>[5,2,6,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,2,7,5,4,1]=>[5,2,6,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,4,1,2,5,7]=>[5,2,4,7,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,4,1,2,7,5]=>[5,2,4,7,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,4,1,5,2,7]=>[5,2,4,7,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,4,1,5,7,2]=>[5,2,4,7,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,4,1,7,2,5]=>[5,2,4,7,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,4,1,7,5,2]=>[5,2,4,7,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,4,2,1,5,7]=>[5,2,4,6,7,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,4,2,1,7,5]=>[5,2,4,6,7,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,4,2,5,1,7]=>[5,2,4,6,3,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,4,2,5,7,1]=>[5,2,4,6,3,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,4,2,7,1,5]=>[5,2,4,6,1,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,4,2,7,5,1]=>[5,2,4,6,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,4,5,1,2,7]=>[5,2,4,3,7,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,4,5,1,7,2]=>[5,2,4,3,7,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,4,5,2,1,7]=>[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,4,5,2,7,1]=>[5,2,4,3,6,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,4,5,7,1,2]=>[5,2,4,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,4,5,7,2,1]=>[5,2,4,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,4,7,1,2,5]=>[5,2,4,1,7,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,4,7,1,5,2]=>[5,2,4,1,7,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,4,7,2,1,5]=>[5,2,4,1,6,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,4,7,2,5,1]=>[5,2,4,1,6,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,4,7,5,1,2]=>[5,2,4,1,3,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,4,7,5,2,1]=>[5,2,4,1,3,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,5,1,2,4,7]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,5,1,2,7,4]=>[5,2,3,7,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,5,1,4,2,7]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,5,1,4,7,2]=>[5,2,3,7,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,5,1,7,2,4]=>[5,2,3,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,5,1,7,4,2]=>[5,2,3,7,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,5,2,1,4,7]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,5,2,1,7,4]=>[5,2,3,6,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,5,2,4,1,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,5,2,4,7,1]=>[5,2,3,6,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,5,2,7,1,4]=>[5,2,3,6,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,5,2,7,4,1]=>[5,2,3,6,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,5,4,1,2,7]=>[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,5,4,1,7,2]=>[5,2,3,4,7,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,5,4,2,1,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,5,4,2,7,1]=>[5,2,3,4,6,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,5,4,7,1,2]=>[5,2,3,4,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,5,4,7,2,1]=>[5,2,3,4,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,5,7,1,2,4]=>[5,2,3,1,7,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,5,7,1,4,2]=>[5,2,3,1,7,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,5,7,2,1,4]=>[5,2,3,1,6,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,5,7,2,4,1]=>[5,2,3,1,6,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,5,7,4,1,2]=>[5,2,3,1,4,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,5,7,4,2,1]=>[5,2,3,1,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,7,1,2,4,5]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,7,1,2,5,4]=>[5,2,1,7,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,7,1,4,2,5]=>[5,2,1,7,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,7,1,4,5,2]=>[5,2,1,7,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,7,1,5,2,4]=>[5,2,1,7,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,7,1,5,4,2]=>[5,2,1,7,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,7,2,1,4,5]=>[5,2,1,6,7,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,7,2,1,5,4]=>[5,2,1,6,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,7,2,4,1,5]=>[5,2,1,6,4,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,7,2,4,5,1]=>[5,2,1,6,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,7,2,5,1,4]=>[5,2,1,6,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,7,2,5,4,1]=>[5,2,1,6,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,7,4,1,5,2]=>[5,2,1,4,7,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,7,4,2,1,5]=>[5,2,1,4,6,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,7,4,2,5,1]=>[5,2,1,4,6,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,7,4,5,1,2]=>[5,2,1,4,3,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]
[3,6,7,4,5,2,1]=>[5,2,1,4,3,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]
[3,6,7,5,1,2,4]=>[5,2,1,3,7,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,7,5,1,4,2]=>[5,2,1,3,7,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,7,5,2,1,4]=>[5,2,1,3,6,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,7,5,2,4,1]=>[5,2,1,3,6,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,6,7,5,4,1,2]=>[5,2,1,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]
[3,6,7,5,4,2,1]=>[5,2,1,3,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]
[3,7,1,2,4,5,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]
[3,7,1,2,4,6,5]=>[5,1,7,6,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]
[3,7,1,2,5,4,6]=>[5,1,7,6,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,1,2,5,6,4]=>[5,1,7,6,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,1,2,6,4,5]=>[5,1,7,6,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]
[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]
[3,7,1,4,2,5,6]=>[5,1,7,4,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]
[3,7,1,4,2,6,5]=>[5,1,7,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]
[3,7,1,4,5,2,6]=>[5,1,7,4,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]
[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]
[3,7,1,4,6,2,5]=>[5,1,7,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]
[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]
[3,7,1,5,2,4,6]=>[5,1,7,3,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,1,5,2,6,4]=>[5,1,7,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,1,5,4,2,6]=>[5,1,7,3,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,1,5,6,2,4]=>[5,1,7,3,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,1,5,6,4,2]=>[5,1,7,3,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,1,6,2,4,5]=>[5,1,7,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]
[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]
[3,7,1,6,4,2,5]=>[5,1,7,2,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]
[3,7,1,6,4,5,2]=>[5,1,7,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]
[3,7,1,6,5,2,4]=>[5,1,7,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]
[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]
[3,7,2,1,4,5,6]=>[5,1,6,7,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]
[3,7,2,1,4,6,5]=>[5,1,6,7,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]
[3,7,2,1,5,4,6]=>[5,1,6,7,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,2,1,5,6,4]=>[5,1,6,7,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,2,1,6,4,5]=>[5,1,6,7,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]
[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]
[3,7,2,4,1,5,6]=>[5,1,6,4,7,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]
[3,7,2,4,1,6,5]=>[5,1,6,4,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]
[3,7,2,4,5,1,6]=>[5,1,6,4,3,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]
[3,7,2,4,5,6,1]=>[5,1,6,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]
[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]
[3,7,2,4,6,5,1]=>[5,1,6,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]
[3,7,2,5,1,4,6]=>[5,1,6,3,7,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,2,5,1,6,4]=>[5,1,6,3,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,2,5,4,1,6]=>[5,1,6,3,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,2,5,4,6,1]=>[5,1,6,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,2,5,6,1,4]=>[5,1,6,3,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,2,5,6,4,1]=>[5,1,6,3,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,2,6,1,4,5]=>[5,1,6,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]
[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]
[3,7,2,6,4,1,5]=>[5,1,6,2,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]
[3,7,2,6,4,5,1]=>[5,1,6,2,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]
[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]
[3,7,2,6,5,4,1]=>[5,1,6,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]
[3,7,4,1,2,5,6]=>[5,1,4,7,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]
[3,7,4,1,2,6,5]=>[5,1,4,7,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]
[3,7,4,1,5,2,6]=>[5,1,4,7,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]
[3,7,4,1,5,6,2]=>[5,1,4,7,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]
[3,7,4,1,6,2,5]=>[5,1,4,7,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]
[3,7,4,1,6,5,2]=>[5,1,4,7,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]
[3,7,4,2,1,5,6]=>[5,1,4,6,7,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]
[3,7,4,2,1,6,5]=>[5,1,4,6,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]
[3,7,4,2,5,1,6]=>[5,1,4,6,3,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]
[3,7,4,2,5,6,1]=>[5,1,4,6,3,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]
[3,7,4,2,6,1,5]=>[5,1,4,6,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]
[3,7,4,2,6,5,1]=>[5,1,4,6,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]
[3,7,4,5,1,2,6]=>[5,1,4,3,7,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]
[3,7,4,5,1,6,2]=>[5,1,4,3,7,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]
[3,7,4,5,2,1,6]=>[5,1,4,3,6,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]
[3,7,4,5,2,6,1]=>[5,1,4,3,6,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]
[3,7,4,5,6,1,2]=>[5,1,4,3,2,7,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]
[3,7,4,5,6,2,1]=>[5,1,4,3,2,6,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]
[3,7,4,6,1,2,5]=>[5,1,4,2,7,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]
[3,7,4,6,1,5,2]=>[5,1,4,2,7,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]
[3,7,4,6,2,1,5]=>[5,1,4,2,6,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]
[3,7,4,6,2,5,1]=>[5,1,4,2,6,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]
[3,7,4,6,5,1,2]=>[5,1,4,2,3,7,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]
[3,7,4,6,5,2,1]=>[5,1,4,2,3,6,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]
[3,7,5,1,2,4,6]=>[5,1,3,7,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,5,1,2,6,4]=>[5,1,3,7,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,5,1,4,2,6]=>[5,1,3,7,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,5,1,4,6,2]=>[5,1,3,7,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,5,1,6,2,4]=>[5,1,3,7,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,5,1,6,4,2]=>[5,1,3,7,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,5,2,1,4,6]=>[5,1,3,6,7,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,5,2,1,6,4]=>[5,1,3,6,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,5,2,4,1,6]=>[5,1,3,6,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,5,2,4,6,1]=>[5,1,3,6,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,5,2,6,1,4]=>[5,1,3,6,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,5,2,6,4,1]=>[5,1,3,6,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,5,4,1,2,6]=>[5,1,3,4,7,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,5,4,1,6,2]=>[5,1,3,4,7,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,5,4,2,1,6]=>[5,1,3,4,6,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,5,4,2,6,1]=>[5,1,3,4,6,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,5,4,6,1,2]=>[5,1,3,4,2,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,5,4,6,2,1]=>[5,1,3,4,2,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,5,6,1,2,4]=>[5,1,3,2,7,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,5,6,1,4,2]=>[5,1,3,2,7,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,5,6,2,1,4]=>[5,1,3,2,6,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,5,6,2,4,1]=>[5,1,3,2,6,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,5,6,4,1,2]=>[5,1,3,2,4,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]
[3,7,5,6,4,2,1]=>[5,1,3,2,4,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]
[3,7,6,1,2,4,5]=>[5,1,2,7,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]
[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]
[3,7,6,1,4,2,5]=>[5,1,2,7,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]
[3,7,6,1,4,5,2]=>[5,1,2,7,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]
[3,7,6,1,5,2,4]=>[5,1,2,7,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]
[3,7,6,1,5,4,2]=>[5,1,2,7,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]
[3,7,6,2,1,4,5]=>[5,1,2,6,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]
[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]
[3,7,6,2,4,1,5]=>[5,1,2,6,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]
[3,7,6,2,4,5,1]=>[5,1,2,6,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]
[3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]
[3,7,6,2,5,4,1]=>[5,1,2,6,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]
[3,7,6,4,1,2,5]=>[5,1,2,4,7,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]
[3,7,6,4,1,5,2]=>[5,1,2,4,7,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]
[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]
[3,7,6,4,2,5,1]=>[5,1,2,4,6,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]
[3,7,6,4,5,1,2]=>[5,1,2,4,3,7,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]
[3,7,6,4,5,2,1]=>[5,1,2,4,3,6,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]
[3,7,6,5,1,2,4]=>[5,1,2,3,7,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]
[3,7,6,5,1,4,2]=>[5,1,2,3,7,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]
[3,7,6,5,2,1,4]=>[5,1,2,3,6,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]
[3,7,6,5,2,4,1]=>[5,1,2,3,6,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]
[3,7,6,5,4,1,2]=>[5,1,2,3,4,7,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]
[3,7,6,5,4,2,1]=>[5,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]
[4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,2,3,6,7,5]=>[4,7,6,5,2,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,2,3,7,5,6]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,1,2,5,3,6,7]=>[4,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,1,2,5,3,7,6]=>[4,7,6,3,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,1,2,5,6,3,7]=>[4,7,6,3,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,1,2,5,6,7,3]=>[4,7,6,3,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,1,2,5,7,3,6]=>[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,1,2,5,7,6,3]=>[4,7,6,3,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,1,2,6,3,5,7]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,2,6,3,7,5]=>[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,2,6,5,3,7]=>[4,7,6,2,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,2,6,5,7,3]=>[4,7,6,2,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,2,6,7,3,5]=>[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,2,6,7,5,3]=>[4,7,6,2,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,2,7,3,5,6]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,1,2,7,5,3,6]=>[4,7,6,1,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,1,2,7,5,6,3]=>[4,7,6,1,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,1,2,7,6,3,5]=>[4,7,6,1,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,1,2,7,6,5,3]=>[4,7,6,1,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,1,3,2,5,6,7]=>[4,7,5,6,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,3,2,6,7,5]=>[4,7,5,6,2,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,3,2,7,5,6]=>[4,7,5,6,1,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,1,3,5,2,6,7]=>[4,7,5,3,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,1,3,5,2,7,6]=>[4,7,5,3,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,1,3,5,6,2,7]=>[4,7,5,3,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,1,3,5,6,7,2]=>[4,7,5,3,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,1,3,5,7,2,6]=>[4,7,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,1,3,5,7,6,2]=>[4,7,5,3,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,1,3,6,2,5,7]=>[4,7,5,2,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,3,6,2,7,5]=>[4,7,5,2,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,3,6,5,2,7]=>[4,7,5,2,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,3,6,5,7,2]=>[4,7,5,2,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,3,6,7,2,5]=>[4,7,5,2,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,3,6,7,5,2]=>[4,7,5,2,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,3,7,2,5,6]=>[4,7,5,1,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,1,3,7,5,2,6]=>[4,7,5,1,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,1,3,7,5,6,2]=>[4,7,5,1,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,1,3,7,6,5,2]=>[4,7,5,1,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,1,5,2,3,6,7]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,1,5,2,3,7,6]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,1,5,2,6,3,7]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,1,5,2,6,7,3]=>[4,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,1,5,2,7,3,6]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,1,5,2,7,6,3]=>[4,7,3,6,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,1,5,3,2,6,7]=>[4,7,3,5,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,1,5,3,2,7,6]=>[4,7,3,5,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,1,5,3,6,2,7]=>[4,7,3,5,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,1,5,3,6,7,2]=>[4,7,3,5,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,1,5,3,7,2,6]=>[4,7,3,5,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,1,5,3,7,6,2]=>[4,7,3,5,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,1,5,6,2,3,7]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,1,5,6,2,7,3]=>[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,1,5,6,3,2,7]=>[4,7,3,2,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,1,5,6,3,7,2]=>[4,7,3,2,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,1,5,6,7,2,3]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,1,5,6,7,3,2]=>[4,7,3,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,1,5,7,2,3,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,1,5,7,2,6,3]=>[4,7,3,1,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,1,5,7,3,2,6]=>[4,7,3,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,1,5,7,3,6,2]=>[4,7,3,1,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,1,5,7,6,2,3]=>[4,7,3,1,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,1,5,7,6,3,2]=>[4,7,3,1,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,1,6,2,3,5,7]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,6,2,3,7,5]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,6,2,5,3,7]=>[4,7,2,6,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,6,2,5,7,3]=>[4,7,2,6,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,6,2,7,3,5]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,6,2,7,5,3]=>[4,7,2,6,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,6,3,2,5,7]=>[4,7,2,5,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,6,3,2,7,5]=>[4,7,2,5,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,6,3,5,2,7]=>[4,7,2,5,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,6,3,5,7,2]=>[4,7,2,5,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,6,3,7,2,5]=>[4,7,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,6,3,7,5,2]=>[4,7,2,5,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,6,5,2,3,7]=>[4,7,2,3,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,6,5,2,7,3]=>[4,7,2,3,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,6,5,3,2,7]=>[4,7,2,3,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,6,5,3,7,2]=>[4,7,2,3,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,6,5,7,2,3]=>[4,7,2,3,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,6,5,7,3,2]=>[4,7,2,3,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,6,7,2,3,5]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,6,7,2,5,3]=>[4,7,2,1,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,6,7,3,2,5]=>[4,7,2,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,6,7,3,5,2]=>[4,7,2,1,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,6,7,5,2,3]=>[4,7,2,1,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,1,6,7,5,3,2]=>[4,7,2,1,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,1,7,2,3,5,6]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,1,7,2,5,3,6]=>[4,7,1,6,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,1,7,2,5,6,3]=>[4,7,1,6,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,1,7,2,6,3,5]=>[4,7,1,6,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,1,7,2,6,5,3]=>[4,7,1,6,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,1,7,3,2,5,6]=>[4,7,1,5,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,1,7,3,5,2,6]=>[4,7,1,5,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,1,7,3,5,6,2]=>[4,7,1,5,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,1,7,3,6,5,2]=>[4,7,1,5,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,1,7,5,2,3,6]=>[4,7,1,3,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,1,7,5,2,6,3]=>[4,7,1,3,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,1,7,5,3,2,6]=>[4,7,1,3,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,1,7,5,3,6,2]=>[4,7,1,3,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,1,7,5,6,2,3]=>[4,7,1,3,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,1,7,5,6,3,2]=>[4,7,1,3,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,1,7,6,2,3,5]=>[4,7,1,2,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,1,7,6,2,5,3]=>[4,7,1,2,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,1,7,6,3,5,2]=>[4,7,1,2,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,1,7,6,5,2,3]=>[4,7,1,2,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,1,7,6,5,3,2]=>[4,7,1,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,1,3,5,7,6]=>[4,6,7,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,1,3,6,5,7]=>[4,6,7,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,1,3,6,7,5]=>[4,6,7,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,1,3,7,5,6]=>[4,6,7,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,1,5,3,6,7]=>[4,6,7,3,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,1,5,3,7,6]=>[4,6,7,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,1,5,6,3,7]=>[4,6,7,3,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,1,5,6,7,3]=>[4,6,7,3,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,1,5,7,3,6]=>[4,6,7,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,1,5,7,6,3]=>[4,6,7,3,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,1,6,3,5,7]=>[4,6,7,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,1,6,3,7,5]=>[4,6,7,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,1,6,5,3,7]=>[4,6,7,2,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,1,6,5,7,3]=>[4,6,7,2,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,1,6,7,3,5]=>[4,6,7,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,1,6,7,5,3]=>[4,6,7,2,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,1,7,3,5,6]=>[4,6,7,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,1,7,5,3,6]=>[4,6,7,1,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,1,7,5,6,3]=>[4,6,7,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,1,7,6,3,5]=>[4,6,7,1,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,1,7,6,5,3]=>[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,3,1,6,7,5]=>[4,6,5,7,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,3,1,7,5,6]=>[4,6,5,7,1,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,3,5,1,6,7]=>[4,6,5,3,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,3,5,1,7,6]=>[4,6,5,3,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,3,5,6,1,7]=>[4,6,5,3,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,3,5,6,7,1]=>[4,6,5,3,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,3,5,7,1,6]=>[4,6,5,3,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,3,5,7,6,1]=>[4,6,5,3,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,3,6,1,5,7]=>[4,6,5,2,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,3,6,1,7,5]=>[4,6,5,2,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,3,6,5,1,7]=>[4,6,5,2,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,3,6,5,7,1]=>[4,6,5,2,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,3,6,7,1,5]=>[4,6,5,2,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,3,6,7,5,1]=>[4,6,5,2,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,3,7,1,5,6]=>[4,6,5,1,7,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,3,7,1,6,5]=>[4,6,5,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,3,7,5,1,6]=>[4,6,5,1,3,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,3,7,5,6,1]=>[4,6,5,1,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,3,7,6,1,5]=>[4,6,5,1,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,3,7,6,5,1]=>[4,6,5,1,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,5,1,3,6,7]=>[4,6,3,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,5,1,3,7,6]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,5,1,6,3,7]=>[4,6,3,7,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,5,1,6,7,3]=>[4,6,3,7,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,5,1,7,3,6]=>[4,6,3,7,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,5,1,7,6,3]=>[4,6,3,7,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,5,3,1,6,7]=>[4,6,3,5,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,5,3,1,7,6]=>[4,6,3,5,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,5,3,6,1,7]=>[4,6,3,5,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,5,3,6,7,1]=>[4,6,3,5,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,5,3,7,1,6]=>[4,6,3,5,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,5,3,7,6,1]=>[4,6,3,5,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,5,6,1,3,7]=>[4,6,3,2,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,5,6,1,7,3]=>[4,6,3,2,7,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,5,6,3,1,7]=>[4,6,3,2,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,5,6,3,7,1]=>[4,6,3,2,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,5,6,7,1,3]=>[4,6,3,2,1,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,5,6,7,3,1]=>[4,6,3,2,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,2,5,7,1,3,6]=>[4,6,3,1,7,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,5,7,1,6,3]=>[4,6,3,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,5,7,3,1,6]=>[4,6,3,1,5,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,5,7,3,6,1]=>[4,6,3,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,5,7,6,1,3]=>[4,6,3,1,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,5,7,6,3,1]=>[4,6,3,1,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,2,6,1,3,5,7]=>[4,6,2,7,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,1,3,7,5]=>[4,6,2,7,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,1,5,7,3]=>[4,6,2,7,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,1,7,3,5]=>[4,6,2,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,1,7,5,3]=>[4,6,2,7,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,3,1,5,7]=>[4,6,2,5,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,3,1,7,5]=>[4,6,2,5,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,3,5,1,7]=>[4,6,2,5,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,3,5,7,1]=>[4,6,2,5,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,3,7,1,5]=>[4,6,2,5,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,3,7,5,1]=>[4,6,2,5,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,5,1,3,7]=>[4,6,2,3,7,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,5,1,7,3]=>[4,6,2,3,7,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,5,3,1,7]=>[4,6,2,3,5,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,5,3,7,1]=>[4,6,2,3,5,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,5,7,1,3]=>[4,6,2,3,1,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,5,7,3,1]=>[4,6,2,3,1,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,7,1,3,5]=>[4,6,2,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,7,1,5,3]=>[4,6,2,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,7,3,1,5]=>[4,6,2,1,5,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,7,3,5,1]=>[4,6,2,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,7,5,1,3]=>[4,6,2,1,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,6,7,5,3,1]=>[4,6,2,1,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,2,7,1,3,5,6]=>[4,6,1,7,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,7,1,5,3,6]=>[4,6,1,7,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,7,1,6,3,5]=>[4,6,1,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,7,3,1,5,6]=>[4,6,1,5,7,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,7,3,1,6,5]=>[4,6,1,5,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,7,3,5,1,6]=>[4,6,1,5,3,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,7,3,5,6,1]=>[4,6,1,5,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,7,3,6,1,5]=>[4,6,1,5,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,7,3,6,5,1]=>[4,6,1,5,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,7,5,1,3,6]=>[4,6,1,3,7,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,7,5,1,6,3]=>[4,6,1,3,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,7,5,3,1,6]=>[4,6,1,3,5,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,7,5,3,6,1]=>[4,6,1,3,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,7,5,6,1,3]=>[4,6,1,3,2,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,7,5,6,3,1]=>[4,6,1,3,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,2,7,6,1,3,5]=>[4,6,1,2,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,7,6,1,5,3]=>[4,6,1,2,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,7,6,3,1,5]=>[4,6,1,2,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,7,6,3,5,1]=>[4,6,1,2,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,7,6,5,1,3]=>[4,6,1,2,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,2,7,6,5,3,1]=>[4,6,1,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,3,1,2,5,6,7]=>[4,5,7,6,3,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,3,1,2,6,5,7]=>[4,5,7,6,2,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,1,2,6,7,5]=>[4,5,7,6,2,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,1,2,7,5,6]=>[4,5,7,6,1,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,3,1,5,2,6,7]=>[4,5,7,3,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,3,1,5,2,7,6]=>[4,5,7,3,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,3,1,5,6,2,7]=>[4,5,7,3,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,3,1,5,6,7,2]=>[4,5,7,3,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,3,1,5,7,2,6]=>[4,5,7,3,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,3,1,5,7,6,2]=>[4,5,7,3,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,3,1,6,2,5,7]=>[4,5,7,2,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,1,6,2,7,5]=>[4,5,7,2,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,1,6,5,2,7]=>[4,5,7,2,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,1,6,5,7,2]=>[4,5,7,2,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,1,6,7,2,5]=>[4,5,7,2,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,1,6,7,5,2]=>[4,5,7,2,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,1,7,2,5,6]=>[4,5,7,1,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,3,1,7,5,2,6]=>[4,5,7,1,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,3,1,7,5,6,2]=>[4,5,7,1,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,3,1,7,6,2,5]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,3,1,7,6,5,2]=>[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,2,1,6,7,5]=>[4,5,6,7,2,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,2,1,7,5,6]=>[4,5,6,7,1,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,3,2,5,1,6,7]=>[4,5,6,3,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,3,2,5,1,7,6]=>[4,5,6,3,7,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,3,2,5,6,1,7]=>[4,5,6,3,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,3,2,5,6,7,1]=>[4,5,6,3,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,3,2,5,7,1,6]=>[4,5,6,3,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,3,2,5,7,6,1]=>[4,5,6,3,1,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,3,2,6,1,5,7]=>[4,5,6,2,7,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,2,6,1,7,5]=>[4,5,6,2,7,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,2,6,5,1,7]=>[4,5,6,2,3,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,2,6,5,7,1]=>[4,5,6,2,3,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,2,6,7,1,5]=>[4,5,6,2,1,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,2,6,7,5,1]=>[4,5,6,2,1,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,2,7,1,5,6]=>[4,5,6,1,7,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,3,2,7,5,1,6]=>[4,5,6,1,3,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,3,2,7,5,6,1]=>[4,5,6,1,3,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,3,2,7,6,5,1]=>[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,3,5,1,2,6,7]=>[4,5,3,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,3,5,1,2,7,6]=>[4,5,3,7,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,3,5,1,6,2,7]=>[4,5,3,7,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,3,5,1,6,7,2]=>[4,5,3,7,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,3,5,1,7,2,6]=>[4,5,3,7,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,3,5,1,7,6,2]=>[4,5,3,7,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,3,5,2,1,6,7]=>[4,5,3,6,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,3,5,2,1,7,6]=>[4,5,3,6,7,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,3,5,2,6,1,7]=>[4,5,3,6,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,3,5,2,6,7,1]=>[4,5,3,6,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,3,5,2,7,1,6]=>[4,5,3,6,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,3,5,2,7,6,1]=>[4,5,3,6,1,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,3,5,6,1,2,7]=>[4,5,3,2,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,3,5,6,1,7,2]=>[4,5,3,2,7,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,3,5,6,2,1,7]=>[4,5,3,2,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,3,5,6,2,7,1]=>[4,5,3,2,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,3,5,6,7,1,2]=>[4,5,3,2,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,3,5,6,7,2,1]=>[4,5,3,2,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,3,5,7,1,2,6]=>[4,5,3,1,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,3,5,7,1,6,2]=>[4,5,3,1,7,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,3,5,7,2,1,6]=>[4,5,3,1,6,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,3,5,7,2,6,1]=>[4,5,3,1,6,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,3,5,7,6,1,2]=>[4,5,3,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,3,5,7,6,2,1]=>[4,5,3,1,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,3,6,1,2,5,7]=>[4,5,2,7,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,6,1,2,7,5]=>[4,5,2,7,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,6,1,5,2,7]=>[4,5,2,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,6,1,5,7,2]=>[4,5,2,7,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,6,1,7,2,5]=>[4,5,2,7,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,6,1,7,5,2]=>[4,5,2,7,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,6,2,1,5,7]=>[4,5,2,6,7,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,6,2,1,7,5]=>[4,5,2,6,7,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,6,2,5,1,7]=>[4,5,2,6,3,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,6,2,5,7,1]=>[4,5,2,6,3,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,6,2,7,1,5]=>[4,5,2,6,1,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,6,2,7,5,1]=>[4,5,2,6,1,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,6,5,1,2,7]=>[4,5,2,3,7,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,6,5,1,7,2]=>[4,5,2,3,7,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,6,5,2,1,7]=>[4,5,2,3,6,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,6,5,2,7,1]=>[4,5,2,3,6,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,6,5,7,1,2]=>[4,5,2,3,1,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,6,5,7,2,1]=>[4,5,2,3,1,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,6,7,1,2,5]=>[4,5,2,1,7,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,6,7,1,5,2]=>[4,5,2,1,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,6,7,2,1,5]=>[4,5,2,1,6,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,6,7,2,5,1]=>[4,5,2,1,6,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,6,7,5,1,2]=>[4,5,2,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,3,6,7,5,2,1]=>[4,5,2,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,3,7,1,2,5,6]=>[4,5,1,7,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,3,7,1,5,2,6]=>[4,5,1,7,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,3,7,1,5,6,2]=>[4,5,1,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,3,7,1,6,2,5]=>[4,5,1,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,3,7,1,6,5,2]=>[4,5,1,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,3,7,2,1,5,6]=>[4,5,1,6,7,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,3,7,2,5,1,6]=>[4,5,1,6,3,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,3,7,2,5,6,1]=>[4,5,1,6,3,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,3,7,2,6,5,1]=>[4,5,1,6,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,3,7,5,1,2,6]=>[4,5,1,3,7,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,3,7,5,1,6,2]=>[4,5,1,3,7,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,3,7,5,2,1,6]=>[4,5,1,3,6,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,3,7,5,2,6,1]=>[4,5,1,3,6,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,3,7,5,6,1,2]=>[4,5,1,3,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,3,7,5,6,2,1]=>[4,5,1,3,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,3,7,6,1,5,2]=>[4,5,1,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,3,7,6,2,5,1]=>[4,5,1,2,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,3,7,6,5,1,2]=>[4,5,1,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,3,7,6,5,2,1]=>[4,5,1,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,5,1,2,3,6,7]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,5,1,2,3,7,6]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,5,1,2,6,3,7]=>[4,3,7,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,5,1,2,6,7,3]=>[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,5,1,2,7,3,6]=>[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,5,1,2,7,6,3]=>[4,3,7,6,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,5,1,3,2,6,7]=>[4,3,7,5,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,5,1,3,2,7,6]=>[4,3,7,5,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,5,1,3,6,2,7]=>[4,3,7,5,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,5,1,3,6,7,2]=>[4,3,7,5,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,5,1,3,7,2,6]=>[4,3,7,5,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,5,1,3,7,6,2]=>[4,3,7,5,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,5,1,6,2,3,7]=>[4,3,7,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,5,1,6,2,7,3]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,5,1,6,3,2,7]=>[4,3,7,2,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,5,1,6,3,7,2]=>[4,3,7,2,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,5,1,6,7,2,3]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,5,1,6,7,3,2]=>[4,3,7,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,5,1,7,2,3,6]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,5,1,7,2,6,3]=>[4,3,7,1,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,5,1,7,3,2,6]=>[4,3,7,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,5,1,7,3,6,2]=>[4,3,7,1,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,5,1,7,6,2,3]=>[4,3,7,1,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,5,1,7,6,3,2]=>[4,3,7,1,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,5,2,1,3,6,7]=>[4,3,6,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,2,1,3,7,6]=>[4,3,6,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,2,1,6,3,7]=>[4,3,6,7,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,2,1,6,7,3]=>[4,3,6,7,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,2,1,7,3,6]=>[4,3,6,7,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,2,1,7,6,3]=>[4,3,6,7,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,2,3,1,6,7]=>[4,3,6,5,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,2,3,1,7,6]=>[4,3,6,5,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,2,3,6,1,7]=>[4,3,6,5,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,2,3,6,7,1]=>[4,3,6,5,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,2,3,7,1,6]=>[4,3,6,5,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,2,3,7,6,1]=>[4,3,6,5,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,2,6,1,3,7]=>[4,3,6,2,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,2,6,1,7,3]=>[4,3,6,2,7,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,2,6,3,1,7]=>[4,3,6,2,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,2,6,3,7,1]=>[4,3,6,2,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,2,6,7,1,3]=>[4,3,6,2,1,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,2,6,7,3,1]=>[4,3,6,2,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,2,7,1,3,6]=>[4,3,6,1,7,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,2,7,1,6,3]=>[4,3,6,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,2,7,3,1,6]=>[4,3,6,1,5,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,2,7,3,6,1]=>[4,3,6,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,2,7,6,1,3]=>[4,3,6,1,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,2,7,6,3,1]=>[4,3,6,1,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,5,3,1,6,2,7]=>[4,3,5,7,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,5,3,1,6,7,2]=>[4,3,5,7,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,5,3,1,7,2,6]=>[4,3,5,7,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,5,3,1,7,6,2]=>[4,3,5,7,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,5,3,2,1,6,7]=>[4,3,5,6,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,5,3,2,1,7,6]=>[4,3,5,6,7,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,5,3,2,6,1,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,5,3,2,6,7,1]=>[4,3,5,6,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,5,3,2,7,1,6]=>[4,3,5,6,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,5,3,2,7,6,1]=>[4,3,5,6,1,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,5,3,6,1,2,7]=>[4,3,5,2,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,5,3,6,1,7,2]=>[4,3,5,2,7,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,5,3,6,2,1,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,5,3,6,7,1,2]=>[4,3,5,2,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,5,3,6,7,2,1]=>[4,3,5,2,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,5,3,7,1,2,6]=>[4,3,5,1,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,5,3,7,1,6,2]=>[4,3,5,1,7,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,5,3,7,2,1,6]=>[4,3,5,1,6,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,5,3,7,2,6,1]=>[4,3,5,1,6,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,5,3,7,6,1,2]=>[4,3,5,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,5,3,7,6,2,1]=>[4,3,5,1,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,5,6,1,2,3,7]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,5,6,1,2,7,3]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,5,6,1,3,2,7]=>[4,3,2,7,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,5,6,1,3,7,2]=>[4,3,2,7,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,5,6,1,7,2,3]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,5,6,1,7,3,2]=>[4,3,2,7,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,5,6,2,1,3,7]=>[4,3,2,6,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,6,2,1,7,3]=>[4,3,2,6,7,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,6,2,3,1,7]=>[4,3,2,6,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,6,2,3,7,1]=>[4,3,2,6,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,6,2,7,1,3]=>[4,3,2,6,1,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,6,2,7,3,1]=>[4,3,2,6,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,6,3,1,2,7]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,5,6,3,1,7,2]=>[4,3,2,5,7,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,5,6,3,2,1,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,5,6,3,2,7,1]=>[4,3,2,5,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,5,6,3,7,1,2]=>[4,3,2,5,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,5,6,3,7,2,1]=>[4,3,2,5,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,5,6,7,1,2,3]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]
[4,5,6,7,1,3,2]=>[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]
[4,5,6,7,2,1,3]=>[4,3,2,1,6,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,6,7,2,3,1]=>[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]
[4,5,6,7,3,1,2]=>[4,3,2,1,5,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]
[4,5,6,7,3,2,1]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]
[4,5,7,1,2,3,6]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,5,7,1,2,6,3]=>[4,3,1,7,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,5,7,1,3,2,6]=>[4,3,1,7,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,5,7,1,3,6,2]=>[4,3,1,7,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,5,7,1,6,2,3]=>[4,3,1,7,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,5,7,1,6,3,2]=>[4,3,1,7,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,5,7,2,1,3,6]=>[4,3,1,6,7,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,7,2,1,6,3]=>[4,3,1,6,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,7,2,3,1,6]=>[4,3,1,6,5,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,7,2,3,6,1]=>[4,3,1,6,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,7,2,6,1,3]=>[4,3,1,6,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,7,2,6,3,1]=>[4,3,1,6,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,7,3,1,2,6]=>[4,3,1,5,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,5,7,3,1,6,2]=>[4,3,1,5,7,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,5,7,3,2,1,6]=>[4,3,1,5,6,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,5,7,3,2,6,1]=>[4,3,1,5,6,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,5,7,3,6,1,2]=>[4,3,1,5,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,5,7,3,6,2,1]=>[4,3,1,5,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,5,7,6,1,2,3]=>[4,3,1,2,7,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]
[4,5,7,6,1,3,2]=>[4,3,1,2,7,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]
[4,5,7,6,2,1,3]=>[4,3,1,2,6,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,7,6,2,3,1]=>[4,3,1,2,6,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]
[4,5,7,6,3,1,2]=>[4,3,1,2,5,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]
[4,5,7,6,3,2,1]=>[4,3,1,2,5,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]
[4,6,1,2,3,5,7]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,1,2,3,7,5]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,1,2,5,3,7]=>[4,2,7,6,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,1,2,5,7,3]=>[4,2,7,6,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,1,2,7,3,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,1,2,7,5,3]=>[4,2,7,6,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,1,3,2,5,7]=>[4,2,7,5,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,1,3,2,7,5]=>[4,2,7,5,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,1,3,5,2,7]=>[4,2,7,5,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,1,3,5,7,2]=>[4,2,7,5,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,1,3,7,2,5]=>[4,2,7,5,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,1,3,7,5,2]=>[4,2,7,5,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,1,5,2,3,7]=>[4,2,7,3,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,1,5,2,7,3]=>[4,2,7,3,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,1,5,3,2,7]=>[4,2,7,3,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,1,5,3,7,2]=>[4,2,7,3,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,1,5,7,2,3]=>[4,2,7,3,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,1,5,7,3,2]=>[4,2,7,3,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,1,7,2,3,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,1,7,2,5,3]=>[4,2,7,1,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,1,7,3,2,5]=>[4,2,7,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,1,7,3,5,2]=>[4,2,7,1,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,1,7,5,2,3]=>[4,2,7,1,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,1,7,5,3,2]=>[4,2,7,1,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,2,1,3,5,7]=>[4,2,6,7,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,1,3,7,5]=>[4,2,6,7,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,1,5,3,7]=>[4,2,6,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,1,5,7,3]=>[4,2,6,7,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,1,7,3,5]=>[4,2,6,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,1,7,5,3]=>[4,2,6,7,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,3,1,5,7]=>[4,2,6,5,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,3,1,7,5]=>[4,2,6,5,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,3,5,1,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,3,5,7,1]=>[4,2,6,5,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,3,7,1,5]=>[4,2,6,5,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,3,7,5,1]=>[4,2,6,5,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,5,1,3,7]=>[4,2,6,3,7,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,5,1,7,3]=>[4,2,6,3,7,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,5,3,1,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,5,3,7,1]=>[4,2,6,3,5,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,5,7,1,3]=>[4,2,6,3,1,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,5,7,3,1]=>[4,2,6,3,1,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,7,1,3,5]=>[4,2,6,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,7,1,5,3]=>[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,7,3,1,5]=>[4,2,6,1,5,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,7,3,5,1]=>[4,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,7,5,1,3]=>[4,2,6,1,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,2,7,5,3,1]=>[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,3,1,2,5,7]=>[4,2,5,7,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,3,1,2,7,5]=>[4,2,5,7,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,3,1,5,7,2]=>[4,2,5,7,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,3,1,7,5,2]=>[4,2,5,7,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,3,2,1,5,7]=>[4,2,5,6,7,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,3,2,1,7,5]=>[4,2,5,6,7,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,3,2,5,1,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,3,2,5,7,1]=>[4,2,5,6,3,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,3,2,7,1,5]=>[4,2,5,6,1,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,3,2,7,5,1]=>[4,2,5,6,1,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,3,5,1,2,7]=>[4,2,5,3,7,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,3,5,1,7,2]=>[4,2,5,3,7,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,3,5,2,1,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,3,5,2,7,1]=>[4,2,5,3,6,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,3,5,7,1,2]=>[4,2,5,3,1,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,3,5,7,2,1]=>[4,2,5,3,1,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,3,7,1,2,5]=>[4,2,5,1,7,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,3,7,1,5,2]=>[4,2,5,1,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,3,7,2,1,5]=>[4,2,5,1,6,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,3,7,2,5,1]=>[4,2,5,1,6,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,3,7,5,1,2]=>[4,2,5,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,3,7,5,2,1]=>[4,2,5,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,5,1,2,3,7]=>[4,2,3,7,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,5,1,2,7,3]=>[4,2,3,7,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,5,1,3,7,2]=>[4,2,3,7,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,5,1,7,2,3]=>[4,2,3,7,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,5,1,7,3,2]=>[4,2,3,7,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,5,2,1,3,7]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,5,2,1,7,3]=>[4,2,3,6,7,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,5,2,3,1,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,5,2,3,7,1]=>[4,2,3,6,5,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,5,2,7,1,3]=>[4,2,3,6,1,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,5,2,7,3,1]=>[4,2,3,6,1,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,5,3,1,2,7]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,5,3,1,7,2]=>[4,2,3,5,7,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,5,3,2,1,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,5,3,2,7,1]=>[4,2,3,5,6,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,5,3,7,1,2]=>[4,2,3,5,1,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,5,3,7,2,1]=>[4,2,3,5,1,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,5,7,1,2,3]=>[4,2,3,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,5,7,1,3,2]=>[4,2,3,1,7,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,5,7,2,1,3]=>[4,2,3,1,6,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,5,7,2,3,1]=>[4,2,3,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,5,7,3,1,2]=>[4,2,3,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,5,7,3,2,1]=>[4,2,3,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,7,1,2,3,5]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,7,1,2,5,3]=>[4,2,1,7,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,7,1,3,2,5]=>[4,2,1,7,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,7,1,3,5,2]=>[4,2,1,7,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,7,1,5,3,2]=>[4,2,1,7,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,7,2,1,3,5]=>[4,2,1,6,7,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,7,2,1,5,3]=>[4,2,1,6,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,7,2,3,1,5]=>[4,2,1,6,5,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,7,2,3,5,1]=>[4,2,1,6,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,7,2,5,1,3]=>[4,2,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,7,2,5,3,1]=>[4,2,1,6,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,7,3,1,2,5]=>[4,2,1,5,7,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,7,3,1,5,2]=>[4,2,1,5,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,7,3,2,1,5]=>[4,2,1,5,6,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,7,3,2,5,1]=>[4,2,1,5,6,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,7,3,5,1,2]=>[4,2,1,5,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,7,3,5,2,1]=>[4,2,1,5,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,6,7,5,1,2,3]=>[4,2,1,3,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]
[4,6,7,5,1,3,2]=>[4,2,1,3,7,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]
[4,6,7,5,2,1,3]=>[4,2,1,3,6,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,7,5,2,3,1]=>[4,2,1,3,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]
[4,6,7,5,3,1,2]=>[4,2,1,3,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]
[4,6,7,5,3,2,1]=>[4,2,1,3,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]
[4,7,1,2,3,5,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,7,1,2,5,3,6]=>[4,1,7,6,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,7,1,2,5,6,3]=>[4,1,7,6,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,7,1,2,6,3,5]=>[4,1,7,6,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,7,1,2,6,5,3]=>[4,1,7,6,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,7,1,3,2,5,6]=>[4,1,7,5,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,7,1,3,5,2,6]=>[4,1,7,5,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,7,1,3,5,6,2]=>[4,1,7,5,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,7,1,3,6,5,2]=>[4,1,7,5,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,7,1,5,2,3,6]=>[4,1,7,3,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,7,1,5,2,6,3]=>[4,1,7,3,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,7,1,5,3,2,6]=>[4,1,7,3,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,7,1,5,3,6,2]=>[4,1,7,3,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,7,1,5,6,2,3]=>[4,1,7,3,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,7,1,5,6,3,2]=>[4,1,7,3,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,7,1,6,2,3,5]=>[4,1,7,2,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,7,1,6,2,5,3]=>[4,1,7,2,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,7,1,6,3,2,5]=>[4,1,7,2,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,7,1,6,3,5,2]=>[4,1,7,2,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,7,1,6,5,2,3]=>[4,1,7,2,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,7,1,6,5,3,2]=>[4,1,7,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,7,2,1,3,5,6]=>[4,1,6,7,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,2,1,5,3,6]=>[4,1,6,7,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,2,1,5,6,3]=>[4,1,6,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,2,1,6,3,5]=>[4,1,6,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,2,1,6,5,3]=>[4,1,6,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,2,3,1,5,6]=>[4,1,6,5,7,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,2,3,1,6,5]=>[4,1,6,5,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,2,3,5,1,6]=>[4,1,6,5,3,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,2,3,5,6,1]=>[4,1,6,5,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,2,3,6,1,5]=>[4,1,6,5,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,2,3,6,5,1]=>[4,1,6,5,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,2,5,1,3,6]=>[4,1,6,3,7,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,2,5,1,6,3]=>[4,1,6,3,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,2,5,3,1,6]=>[4,1,6,3,5,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,2,5,3,6,1]=>[4,1,6,3,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,2,5,6,1,3]=>[4,1,6,3,2,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,2,5,6,3,1]=>[4,1,6,3,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,2,6,1,3,5]=>[4,1,6,2,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,2,6,1,5,3]=>[4,1,6,2,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,2,6,3,1,5]=>[4,1,6,2,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,2,6,3,5,1]=>[4,1,6,2,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,2,6,5,1,3]=>[4,1,6,2,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,2,6,5,3,1]=>[4,1,6,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,3,1,2,5,6]=>[4,1,5,7,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,7,3,1,5,2,6]=>[4,1,5,7,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,7,3,1,6,2,5]=>[4,1,5,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,7,3,2,1,5,6]=>[4,1,5,6,7,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,7,3,2,5,1,6]=>[4,1,5,6,3,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,7,3,2,5,6,1]=>[4,1,5,6,3,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,7,3,2,6,5,1]=>[4,1,5,6,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,7,3,5,1,2,6]=>[4,1,5,3,7,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,7,3,5,1,6,2]=>[4,1,5,3,7,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,7,3,5,2,1,6]=>[4,1,5,3,6,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,7,3,5,2,6,1]=>[4,1,5,3,6,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,7,3,5,6,1,2]=>[4,1,5,3,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,7,3,5,6,2,1]=>[4,1,5,3,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,7,3,6,1,2,5]=>[4,1,5,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,7,3,6,1,5,2]=>[4,1,5,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,7,3,6,2,1,5]=>[4,1,5,2,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,7,3,6,2,5,1]=>[4,1,5,2,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,7,3,6,5,1,2]=>[4,1,5,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,7,3,6,5,2,1]=>[4,1,5,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,7,5,1,2,3,6]=>[4,1,3,7,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,7,5,1,2,6,3]=>[4,1,3,7,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,7,5,1,3,2,6]=>[4,1,3,7,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,7,5,1,6,2,3]=>[4,1,3,7,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,7,5,1,6,3,2]=>[4,1,3,7,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,7,5,2,1,3,6]=>[4,1,3,6,7,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,5,2,1,6,3]=>[4,1,3,6,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,5,2,3,1,6]=>[4,1,3,6,5,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,5,2,3,6,1]=>[4,1,3,6,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,5,2,6,1,3]=>[4,1,3,6,2,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,5,2,6,3,1]=>[4,1,3,6,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,5,3,1,2,6]=>[4,1,3,5,7,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,7,5,3,1,6,2]=>[4,1,3,5,7,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,7,5,3,2,1,6]=>[4,1,3,5,6,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,7,5,3,2,6,1]=>[4,1,3,5,6,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,7,5,3,6,1,2]=>[4,1,3,5,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,7,5,3,6,2,1]=>[4,1,3,5,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,7,5,6,1,2,3]=>[4,1,3,2,7,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]
[4,7,5,6,1,3,2]=>[4,1,3,2,7,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]
[4,7,5,6,2,1,3]=>[4,1,3,2,6,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,5,6,2,3,1]=>[4,1,3,2,6,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]
[4,7,5,6,3,1,2]=>[4,1,3,2,5,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]
[4,7,5,6,3,2,1]=>[4,1,3,2,5,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]
[4,7,6,1,2,3,5]=>[4,1,2,7,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,7,6,1,2,5,3]=>[4,1,2,7,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,7,6,1,3,2,5]=>[4,1,2,7,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,7,6,1,3,5,2]=>[4,1,2,7,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,7,6,1,5,2,3]=>[4,1,2,7,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,7,6,2,1,3,5]=>[4,1,2,6,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,6,2,1,5,3]=>[4,1,2,6,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,6,2,3,1,5]=>[4,1,2,6,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,6,2,3,5,1]=>[4,1,2,6,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,6,2,5,1,3]=>[4,1,2,6,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,6,2,5,3,1]=>[4,1,2,6,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,6,3,1,2,5]=>[4,1,2,5,7,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,7,6,3,1,5,2]=>[4,1,2,5,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,7,6,3,2,1,5]=>[4,1,2,5,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,7,6,3,2,5,1]=>[4,1,2,5,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,7,6,3,5,1,2]=>[4,1,2,5,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,7,6,3,5,2,1]=>[4,1,2,5,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[4,7,6,5,1,2,3]=>[4,1,2,3,7,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]
[4,7,6,5,1,3,2]=>[4,1,2,3,7,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]
[4,7,6,5,2,1,3]=>[4,1,2,3,6,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,6,5,2,3,1]=>[4,1,2,3,6,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]
[4,7,6,5,3,1,2]=>[4,1,2,3,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]
[4,7,6,5,3,2,1]=>[4,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]
[5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]
[5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]
[5,1,2,3,6,4,7]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]
[5,1,2,3,6,7,4]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]
[5,1,2,3,7,4,6]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]
[5,1,2,3,7,6,4]=>[3,7,6,5,1,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]
[5,1,2,4,3,6,7]=>[3,7,6,4,5,2,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]
[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]
[5,1,2,4,6,3,7]=>[3,7,6,4,2,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]
[5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]
[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]
[5,1,2,4,7,6,3]=>[3,7,6,4,1,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]
[5,1,2,6,3,4,7]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]
[5,1,2,6,3,7,4]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]
[5,1,2,6,4,3,7]=>[3,7,6,2,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]
[5,1,2,6,4,7,3]=>[3,7,6,2,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]
[5,1,2,6,7,3,4]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]
[5,1,2,6,7,4,3]=>[3,7,6,2,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]
[5,1,2,7,3,4,6]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]
[5,1,2,7,3,6,4]=>[3,7,6,1,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]
[5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]
[5,1,2,7,4,6,3]=>[3,7,6,1,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]
[5,1,2,7,6,3,4]=>[3,7,6,1,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]
[5,1,2,7,6,4,3]=>[3,7,6,1,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]
[5,1,3,2,4,6,7]=>[3,7,5,6,4,2,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,3,2,6,4,7]=>[3,7,5,6,2,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,3,2,6,7,4]=>[3,7,5,6,2,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,3,2,7,4,6]=>[3,7,5,6,1,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,3,2,7,6,4]=>[3,7,5,6,1,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,3,4,2,6,7]=>[3,7,5,4,6,2,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,3,4,2,7,6]=>[3,7,5,4,6,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,3,4,6,2,7]=>[3,7,5,4,2,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,3,4,6,7,2]=>[3,7,5,4,2,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,3,4,7,2,6]=>[3,7,5,4,1,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,3,4,7,6,2]=>[3,7,5,4,1,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,3,6,2,4,7]=>[3,7,5,2,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,3,6,2,7,4]=>[3,7,5,2,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,3,6,4,2,7]=>[3,7,5,2,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,3,6,4,7,2]=>[3,7,5,2,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,3,6,7,2,4]=>[3,7,5,2,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,3,6,7,4,2]=>[3,7,5,2,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,3,7,2,4,6]=>[3,7,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,3,7,2,6,4]=>[3,7,5,1,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,3,7,4,2,6]=>[3,7,5,1,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,3,7,4,6,2]=>[3,7,5,1,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,3,7,6,2,4]=>[3,7,5,1,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,3,7,6,4,2]=>[3,7,5,1,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,4,2,3,6,7]=>[3,7,4,6,5,2,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]
[5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]
[5,1,4,2,6,3,7]=>[3,7,4,6,2,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]
[5,1,4,2,6,7,3]=>[3,7,4,6,2,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]
[5,1,4,2,7,3,6]=>[3,7,4,6,1,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]
[5,1,4,2,7,6,3]=>[3,7,4,6,1,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]
[5,1,4,3,2,6,7]=>[3,7,4,5,6,2,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]
[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]
[5,1,4,3,6,2,7]=>[3,7,4,5,2,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]
[5,1,4,3,6,7,2]=>[3,7,4,5,2,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]
[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]
[5,1,4,3,7,6,2]=>[3,7,4,5,1,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]
[5,1,4,6,2,3,7]=>[3,7,4,2,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]
[5,1,4,6,2,7,3]=>[3,7,4,2,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]
[5,1,4,6,3,2,7]=>[3,7,4,2,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]
[5,1,4,6,3,7,2]=>[3,7,4,2,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]
[5,1,4,6,7,2,3]=>[3,7,4,2,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]
[5,1,4,6,7,3,2]=>[3,7,4,2,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]
[5,1,4,7,2,3,6]=>[3,7,4,1,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]
[5,1,4,7,2,6,3]=>[3,7,4,1,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]
[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]
[5,1,4,7,3,6,2]=>[3,7,4,1,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]
[5,1,4,7,6,2,3]=>[3,7,4,1,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]
[5,1,4,7,6,3,2]=>[3,7,4,1,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]
[5,1,6,2,3,4,7]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]
[5,1,6,2,3,7,4]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]
[5,1,6,2,4,3,7]=>[3,7,2,6,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]
[5,1,6,2,4,7,3]=>[3,7,2,6,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]
[5,1,6,2,7,3,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]
[5,1,6,2,7,4,3]=>[3,7,2,6,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]
[5,1,6,3,2,4,7]=>[3,7,2,5,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,6,3,2,7,4]=>[3,7,2,5,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,6,3,4,2,7]=>[3,7,2,5,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,6,3,4,7,2]=>[3,7,2,5,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,6,3,7,2,4]=>[3,7,2,5,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,6,3,7,4,2]=>[3,7,2,5,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,6,4,2,3,7]=>[3,7,2,4,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]
[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]
[5,1,6,4,3,2,7]=>[3,7,2,4,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]
[5,1,6,4,3,7,2]=>[3,7,2,4,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]
[5,1,6,4,7,2,3]=>[3,7,2,4,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]
[5,1,6,4,7,3,2]=>[3,7,2,4,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]
[5,1,6,7,2,3,4]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]
[5,1,6,7,2,4,3]=>[3,7,2,1,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]
[5,1,6,7,3,2,4]=>[3,7,2,1,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,6,7,3,4,2]=>[3,7,2,1,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,1,6,7,4,2,3]=>[3,7,2,1,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]
[5,1,6,7,4,3,2]=>[3,7,2,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]
[5,1,7,2,3,4,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]
[5,1,7,2,3,6,4]=>[3,7,1,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]
[5,1,7,2,4,3,6]=>[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]
[5,1,7,2,4,6,3]=>[3,7,1,6,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]
[5,1,7,2,6,3,4]=>[3,7,1,6,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]
[5,1,7,2,6,4,3]=>[3,7,1,6,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]
[5,1,7,3,2,4,6]=>[3,7,1,5,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,7,3,2,6,4]=>[3,7,1,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,7,3,4,2,6]=>[3,7,1,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,7,3,4,6,2]=>[3,7,1,5,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,7,3,6,2,4]=>[3,7,1,5,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,7,3,6,4,2]=>[3,7,1,5,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,7,4,2,3,6]=>[3,7,1,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]
[5,1,7,4,2,6,3]=>[3,7,1,4,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]
[5,1,7,4,3,2,6]=>[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]
[5,1,7,4,3,6,2]=>[3,7,1,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]
[5,1,7,4,6,2,3]=>[3,7,1,4,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]
[5,1,7,4,6,3,2]=>[3,7,1,4,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]
[5,1,7,6,2,3,4]=>[3,7,1,2,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]
[5,1,7,6,2,4,3]=>[3,7,1,2,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]
[5,1,7,6,3,2,4]=>[3,7,1,2,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,7,6,3,4,2]=>[3,7,1,2,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,1,7,6,4,2,3]=>[3,7,1,2,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]
[5,1,7,6,4,3,2]=>[3,7,1,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]
[5,2,1,3,4,6,7]=>[3,6,7,5,4,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,1,3,4,7,6]=>[3,6,7,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,1,3,6,4,7]=>[3,6,7,5,2,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,1,3,6,7,4]=>[3,6,7,5,2,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,1,3,7,4,6]=>[3,6,7,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,1,3,7,6,4]=>[3,6,7,5,1,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,1,4,3,6,7]=>[3,6,7,4,5,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,1,4,6,3,7]=>[3,6,7,4,2,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,1,4,6,7,3]=>[3,6,7,4,2,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,1,6,3,4,7]=>[3,6,7,2,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,1,6,3,7,4]=>[3,6,7,2,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,1,6,4,3,7]=>[3,6,7,2,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,1,6,4,7,3]=>[3,6,7,2,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,1,6,7,3,4]=>[3,6,7,2,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,1,6,7,4,3]=>[3,6,7,2,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,1,7,3,4,6]=>[3,6,7,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,1,7,3,6,4]=>[3,6,7,1,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,1,7,4,3,6]=>[3,6,7,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,1,7,4,6,3]=>[3,6,7,1,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,1,7,6,3,4]=>[3,6,7,1,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,1,7,6,4,3]=>[3,6,7,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,3,1,4,6,7]=>[3,6,5,7,4,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,3,1,4,7,6]=>[3,6,5,7,4,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,3,1,6,4,7]=>[3,6,5,7,2,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,3,1,6,7,4]=>[3,6,5,7,2,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,3,1,7,4,6]=>[3,6,5,7,1,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,3,1,7,6,4]=>[3,6,5,7,1,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,3,4,6,1,7]=>[3,6,5,4,2,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,3,4,6,7,1]=>[3,6,5,4,2,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,3,4,7,1,6]=>[3,6,5,4,1,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,3,4,7,6,1]=>[3,6,5,4,1,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,3,6,1,7,4]=>[3,6,5,2,7,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,3,6,4,1,7]=>[3,6,5,2,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,3,6,4,7,1]=>[3,6,5,2,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,3,6,7,1,4]=>[3,6,5,2,1,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,3,6,7,4,1]=>[3,6,5,2,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,3,7,1,4,6]=>[3,6,5,1,7,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,3,7,4,1,6]=>[3,6,5,1,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,3,7,4,6,1]=>[3,6,5,1,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,3,7,6,1,4]=>[3,6,5,1,2,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,3,7,6,4,1]=>[3,6,5,1,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,4,1,3,6,7]=>[3,6,4,7,5,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,4,1,6,3,7]=>[3,6,4,7,2,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,4,1,6,7,3]=>[3,6,4,7,2,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,4,1,7,3,6]=>[3,6,4,7,1,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,4,1,7,6,3]=>[3,6,4,7,1,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,4,3,6,1,7]=>[3,6,4,5,2,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,4,3,6,7,1]=>[3,6,4,5,2,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,4,3,7,1,6]=>[3,6,4,5,1,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,4,3,7,6,1]=>[3,6,4,5,1,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,4,6,1,3,7]=>[3,6,4,2,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,4,6,1,7,3]=>[3,6,4,2,7,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,4,6,3,1,7]=>[3,6,4,2,5,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,4,6,3,7,1]=>[3,6,4,2,5,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,4,6,7,1,3]=>[3,6,4,2,1,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,4,6,7,3,1]=>[3,6,4,2,1,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,4,7,1,6,3]=>[3,6,4,1,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,4,7,3,1,6]=>[3,6,4,1,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,4,7,3,6,1]=>[3,6,4,1,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,4,7,6,1,3]=>[3,6,4,1,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,4,7,6,3,1]=>[3,6,4,1,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,6,1,3,4,7]=>[3,6,2,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,6,1,3,7,4]=>[3,6,2,7,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,6,1,4,3,7]=>[3,6,2,7,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,6,1,4,7,3]=>[3,6,2,7,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,6,1,7,3,4]=>[3,6,2,7,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,6,1,7,4,3]=>[3,6,2,7,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,6,3,1,4,7]=>[3,6,2,5,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,6,3,1,7,4]=>[3,6,2,5,7,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,6,3,4,1,7]=>[3,6,2,5,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,6,3,4,7,1]=>[3,6,2,5,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,6,3,7,1,4]=>[3,6,2,5,1,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,6,3,7,4,1]=>[3,6,2,5,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,6,4,1,7,3]=>[3,6,2,4,7,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,6,4,3,1,7]=>[3,6,2,4,5,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,6,4,3,7,1]=>[3,6,2,4,5,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,6,4,7,1,3]=>[3,6,2,4,1,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,6,4,7,3,1]=>[3,6,2,4,1,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,6,7,1,3,4]=>[3,6,2,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,6,7,1,4,3]=>[3,6,2,1,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,6,7,3,1,4]=>[3,6,2,1,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,6,7,3,4,1]=>[3,6,2,1,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,2,6,7,4,1,3]=>[3,6,2,1,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,6,7,4,3,1]=>[3,6,2,1,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,2,7,1,3,4,6]=>[3,6,1,7,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,7,1,3,6,4]=>[3,6,1,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,7,1,4,3,6]=>[3,6,1,7,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,7,1,4,6,3]=>[3,6,1,7,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,7,1,6,3,4]=>[3,6,1,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,7,1,6,4,3]=>[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,7,3,1,4,6]=>[3,6,1,5,7,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,7,3,1,6,4]=>[3,6,1,5,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,7,3,4,1,6]=>[3,6,1,5,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,7,3,4,6,1]=>[3,6,1,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,7,3,6,1,4]=>[3,6,1,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,7,3,6,4,1]=>[3,6,1,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,7,4,1,3,6]=>[3,6,1,4,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,7,4,3,1,6]=>[3,6,1,4,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,7,4,3,6,1]=>[3,6,1,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,7,4,6,1,3]=>[3,6,1,4,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,7,4,6,3,1]=>[3,6,1,4,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,7,6,1,3,4]=>[3,6,1,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,7,6,3,1,4]=>[3,6,1,2,5,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,7,6,3,4,1]=>[3,6,1,2,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,2,7,6,4,1,3]=>[3,6,1,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,2,7,6,4,3,1]=>[3,6,1,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,3,1,2,4,6,7]=>[3,5,7,6,4,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,1,2,6,4,7]=>[3,5,7,6,2,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,1,2,6,7,4]=>[3,5,7,6,2,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,1,2,7,4,6]=>[3,5,7,6,1,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,1,2,7,6,4]=>[3,5,7,6,1,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,1,4,2,6,7]=>[3,5,7,4,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,1,4,2,7,6]=>[3,5,7,4,6,1,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,1,4,6,2,7]=>[3,5,7,4,2,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,1,4,6,7,2]=>[3,5,7,4,2,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,1,4,7,2,6]=>[3,5,7,4,1,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,1,4,7,6,2]=>[3,5,7,4,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,1,6,2,4,7]=>[3,5,7,2,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,1,6,2,7,4]=>[3,5,7,2,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,1,6,4,2,7]=>[3,5,7,2,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,1,6,4,7,2]=>[3,5,7,2,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,1,6,7,2,4]=>[3,5,7,2,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,1,6,7,4,2]=>[3,5,7,2,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,1,7,2,4,6]=>[3,5,7,1,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,1,7,2,6,4]=>[3,5,7,1,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,1,7,4,2,6]=>[3,5,7,1,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,1,7,4,6,2]=>[3,5,7,1,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,1,7,6,2,4]=>[3,5,7,1,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,1,7,6,4,2]=>[3,5,7,1,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,2,1,4,7,6]=>[3,5,6,7,4,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,2,1,6,4,7]=>[3,5,6,7,2,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,2,1,6,7,4]=>[3,5,6,7,2,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,2,1,7,4,6]=>[3,5,6,7,1,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,2,1,7,6,4]=>[3,5,6,7,1,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,2,4,6,1,7]=>[3,5,6,4,2,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,2,4,6,7,1]=>[3,5,6,4,2,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,2,4,7,1,6]=>[3,5,6,4,1,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,2,4,7,6,1]=>[3,5,6,4,1,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,2,6,1,7,4]=>[3,5,6,2,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,2,6,4,1,7]=>[3,5,6,2,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,2,6,4,7,1]=>[3,5,6,2,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,2,6,7,1,4]=>[3,5,6,2,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,2,6,7,4,1]=>[3,5,6,2,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,2,7,1,4,6]=>[3,5,6,1,7,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,2,7,4,1,6]=>[3,5,6,1,4,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,2,7,4,6,1]=>[3,5,6,1,4,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,2,7,6,1,4]=>[3,5,6,1,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,2,7,6,4,1]=>[3,5,6,1,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,4,1,2,6,7]=>[3,5,4,7,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,4,1,2,7,6]=>[3,5,4,7,6,1,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,4,1,6,2,7]=>[3,5,4,7,2,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,4,1,6,7,2]=>[3,5,4,7,2,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,4,1,7,2,6]=>[3,5,4,7,1,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,4,1,7,6,2]=>[3,5,4,7,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,4,2,1,6,7]=>[3,5,4,6,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,4,2,1,7,6]=>[3,5,4,6,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,4,2,6,1,7]=>[3,5,4,6,2,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,4,2,6,7,1]=>[3,5,4,6,2,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,4,2,7,1,6]=>[3,5,4,6,1,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,4,2,7,6,1]=>[3,5,4,6,1,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,4,6,1,2,7]=>[3,5,4,2,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,4,6,1,7,2]=>[3,5,4,2,7,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,4,6,2,1,7]=>[3,5,4,2,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,4,6,2,7,1]=>[3,5,4,2,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,4,6,7,1,2]=>[3,5,4,2,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,4,6,7,2,1]=>[3,5,4,2,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,4,7,1,2,6]=>[3,5,4,1,7,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,4,7,1,6,2]=>[3,5,4,1,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,4,7,2,1,6]=>[3,5,4,1,6,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,4,7,2,6,1]=>[3,5,4,1,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,4,7,6,1,2]=>[3,5,4,1,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,4,7,6,2,1]=>[3,5,4,1,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,6,1,2,4,7]=>[3,5,2,7,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,6,1,2,7,4]=>[3,5,2,7,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,6,1,4,2,7]=>[3,5,2,7,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,6,1,4,7,2]=>[3,5,2,7,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,6,1,7,2,4]=>[3,5,2,7,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,6,1,7,4,2]=>[3,5,2,7,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,6,2,1,4,7]=>[3,5,2,6,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,6,2,1,7,4]=>[3,5,2,6,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,6,2,4,1,7]=>[3,5,2,6,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,6,2,4,7,1]=>[3,5,2,6,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,6,2,7,1,4]=>[3,5,2,6,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,6,2,7,4,1]=>[3,5,2,6,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,6,4,1,2,7]=>[3,5,2,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,6,4,1,7,2]=>[3,5,2,4,7,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,6,4,2,1,7]=>[3,5,2,4,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,6,4,2,7,1]=>[3,5,2,4,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,6,4,7,1,2]=>[3,5,2,4,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,6,4,7,2,1]=>[3,5,2,4,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,6,7,1,2,4]=>[3,5,2,1,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,6,7,1,4,2]=>[3,5,2,1,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,6,7,2,1,4]=>[3,5,2,1,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,6,7,2,4,1]=>[3,5,2,1,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,6,7,4,1,2]=>[3,5,2,1,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,3,6,7,4,2,1]=>[3,5,2,1,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,3,7,1,2,4,6]=>[3,5,1,7,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,7,1,2,6,4]=>[3,5,1,7,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,7,1,4,2,6]=>[3,5,1,7,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,7,1,4,6,2]=>[3,5,1,7,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,7,1,6,2,4]=>[3,5,1,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,7,1,6,4,2]=>[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,7,2,1,4,6]=>[3,5,1,6,7,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,7,2,1,6,4]=>[3,5,1,6,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,7,2,4,1,6]=>[3,5,1,6,4,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,7,2,4,6,1]=>[3,5,1,6,4,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,7,2,6,1,4]=>[3,5,1,6,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,7,2,6,4,1]=>[3,5,1,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,7,4,1,2,6]=>[3,5,1,4,7,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,7,4,1,6,2]=>[3,5,1,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,7,4,2,1,6]=>[3,5,1,4,6,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,7,4,2,6,1]=>[3,5,1,4,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,7,4,6,1,2]=>[3,5,1,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,7,4,6,2,1]=>[3,5,1,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,7,6,1,2,4]=>[3,5,1,2,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,7,6,1,4,2]=>[3,5,1,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,7,6,2,1,4]=>[3,5,1,2,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,7,6,2,4,1]=>[3,5,1,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,3,7,6,4,1,2]=>[3,5,1,2,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,3,7,6,4,2,1]=>[3,5,1,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,4,1,2,3,6,7]=>[3,4,7,6,5,2,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]
[5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]
[5,4,1,2,6,3,7]=>[3,4,7,6,2,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]
[5,4,1,2,6,7,3]=>[3,4,7,6,2,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]
[5,4,1,2,7,3,6]=>[3,4,7,6,1,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]
[5,4,1,2,7,6,3]=>[3,4,7,6,1,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]
[5,4,1,3,2,6,7]=>[3,4,7,5,6,2,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]
[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]
[5,4,1,3,6,2,7]=>[3,4,7,5,2,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]
[5,4,1,3,6,7,2]=>[3,4,7,5,2,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]
[5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]
[5,4,1,3,7,6,2]=>[3,4,7,5,1,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]
[5,4,1,6,2,3,7]=>[3,4,7,2,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]
[5,4,1,6,2,7,3]=>[3,4,7,2,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]
[5,4,1,6,3,2,7]=>[3,4,7,2,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]
[5,4,1,6,3,7,2]=>[3,4,7,2,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]
[5,4,1,6,7,2,3]=>[3,4,7,2,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]
[5,4,1,6,7,3,2]=>[3,4,7,2,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]
[5,4,1,7,2,3,6]=>[3,4,7,1,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]
[5,4,1,7,2,6,3]=>[3,4,7,1,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]
[5,4,1,7,3,2,6]=>[3,4,7,1,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]
[5,4,1,7,3,6,2]=>[3,4,7,1,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]
[5,4,1,7,6,2,3]=>[3,4,7,1,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]
[5,4,1,7,6,3,2]=>[3,4,7,1,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]
[5,4,2,1,3,6,7]=>[3,4,6,7,5,2,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,1,3,7,6]=>[3,4,6,7,5,1,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,2,1,6,3,7]=>[3,4,6,7,2,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,1,6,7,3]=>[3,4,6,7,2,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,1,7,3,6]=>[3,4,6,7,1,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,2,1,7,6,3]=>[3,4,6,7,1,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,2,3,1,6,7]=>[3,4,6,5,7,2,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,3,1,7,6]=>[3,4,6,5,7,1,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,2,3,6,1,7]=>[3,4,6,5,2,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,3,6,7,1]=>[3,4,6,5,2,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,3,7,1,6]=>[3,4,6,5,1,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,2,3,7,6,1]=>[3,4,6,5,1,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,2,6,1,3,7]=>[3,4,6,2,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,6,1,7,3]=>[3,4,6,2,7,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,6,3,1,7]=>[3,4,6,2,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,6,3,7,1]=>[3,4,6,2,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,6,7,1,3]=>[3,4,6,2,1,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,6,7,3,1]=>[3,4,6,2,1,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,7,1,3,6]=>[3,4,6,1,7,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,2,7,1,6,3]=>[3,4,6,1,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,2,7,3,1,6]=>[3,4,6,1,5,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,2,7,3,6,1]=>[3,4,6,1,5,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,2,7,6,1,3]=>[3,4,6,1,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,2,7,6,3,1]=>[3,4,6,1,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,3,1,2,6,7]=>[3,4,5,7,6,2,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]
[5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]
[5,4,3,1,6,2,7]=>[3,4,5,7,2,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]
[5,4,3,1,6,7,2]=>[3,4,5,7,2,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]
[5,4,3,1,7,2,6]=>[3,4,5,7,1,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]
[5,4,3,1,7,6,2]=>[3,4,5,7,1,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]
[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]
[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]
[5,4,3,2,6,1,7]=>[3,4,5,6,2,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]
[5,4,3,2,6,7,1]=>[3,4,5,6,2,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]
[5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]
[5,4,3,2,7,6,1]=>[3,4,5,6,1,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]
[5,4,3,6,1,2,7]=>[3,4,5,2,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]
[5,4,3,6,1,7,2]=>[3,4,5,2,7,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]
[5,4,3,6,2,1,7]=>[3,4,5,2,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]
[5,4,3,6,2,7,1]=>[3,4,5,2,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]
[5,4,3,6,7,1,2]=>[3,4,5,2,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]
[5,4,3,6,7,2,1]=>[3,4,5,2,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]
[5,4,3,7,1,2,6]=>[3,4,5,1,7,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]
[5,4,3,7,1,6,2]=>[3,4,5,1,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]
[5,4,3,7,2,1,6]=>[3,4,5,1,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]
[5,4,3,7,2,6,1]=>[3,4,5,1,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]
[5,4,3,7,6,1,2]=>[3,4,5,1,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]
[5,4,3,7,6,2,1]=>[3,4,5,1,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]
[5,4,6,1,2,3,7]=>[3,4,2,7,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]
[5,4,6,1,2,7,3]=>[3,4,2,7,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]
[5,4,6,1,3,2,7]=>[3,4,2,7,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]
[5,4,6,1,3,7,2]=>[3,4,2,7,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]
[5,4,6,1,7,2,3]=>[3,4,2,7,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]
[5,4,6,1,7,3,2]=>[3,4,2,7,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]
[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,6,2,1,7,3]=>[3,4,2,6,7,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,6,2,3,1,7]=>[3,4,2,6,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,6,2,3,7,1]=>[3,4,2,6,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,6,2,7,1,3]=>[3,4,2,6,1,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,6,2,7,3,1]=>[3,4,2,6,1,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,6,3,1,2,7]=>[3,4,2,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]
[5,4,6,3,1,7,2]=>[3,4,2,5,7,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]
[5,4,6,3,2,1,7]=>[3,4,2,5,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]
[5,4,6,3,2,7,1]=>[3,4,2,5,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]
[5,4,6,3,7,1,2]=>[3,4,2,5,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]
[5,4,6,3,7,2,1]=>[3,4,2,5,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]
[5,4,6,7,1,2,3]=>[3,4,2,1,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]
[5,4,6,7,1,3,2]=>[3,4,2,1,7,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]
[5,4,6,7,2,1,3]=>[3,4,2,1,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,6,7,2,3,1]=>[3,4,2,1,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,4,6,7,3,1,2]=>[3,4,2,1,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]
[5,4,6,7,3,2,1]=>[3,4,2,1,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]
[5,4,7,1,2,3,6]=>[3,4,1,7,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]
[5,4,7,1,2,6,3]=>[3,4,1,7,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]
[5,4,7,1,3,2,6]=>[3,4,1,7,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]
[5,4,7,1,3,6,2]=>[3,4,1,7,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]
[5,4,7,1,6,2,3]=>[3,4,1,7,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]
[5,4,7,1,6,3,2]=>[3,4,1,7,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]
[5,4,7,2,1,3,6]=>[3,4,1,6,7,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,7,2,3,1,6]=>[3,4,1,6,5,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,7,2,3,6,1]=>[3,4,1,6,5,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,7,2,6,1,3]=>[3,4,1,6,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,7,2,6,3,1]=>[3,4,1,6,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,7,3,1,2,6]=>[3,4,1,5,7,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]
[5,4,7,3,1,6,2]=>[3,4,1,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]
[5,4,7,3,2,1,6]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]
[5,4,7,3,2,6,1]=>[3,4,1,5,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]
[5,4,7,3,6,1,2]=>[3,4,1,5,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]
[5,4,7,3,6,2,1]=>[3,4,1,5,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]
[5,4,7,6,1,2,3]=>[3,4,1,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]
[5,4,7,6,1,3,2]=>[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]
[5,4,7,6,2,1,3]=>[3,4,1,2,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,7,6,2,3,1]=>[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,4,7,6,3,1,2]=>[3,4,1,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]
[5,4,7,6,3,2,1]=>[3,4,1,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]
[5,6,1,2,3,4,7]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]
[5,6,1,2,3,7,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]
[5,6,1,2,4,3,7]=>[3,2,7,6,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]
[5,6,1,2,4,7,3]=>[3,2,7,6,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]
[5,6,1,2,7,3,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]
[5,6,1,2,7,4,3]=>[3,2,7,6,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]
[5,6,1,3,2,4,7]=>[3,2,7,5,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,6,1,3,2,7,4]=>[3,2,7,5,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,6,1,3,4,2,7]=>[3,2,7,5,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,6,1,3,4,7,2]=>[3,2,7,5,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,6,1,3,7,2,4]=>[3,2,7,5,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,6,1,3,7,4,2]=>[3,2,7,5,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,6,1,4,2,3,7]=>[3,2,7,4,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]
[5,6,1,4,2,7,3]=>[3,2,7,4,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]
[5,6,1,4,3,2,7]=>[3,2,7,4,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]
[5,6,1,4,3,7,2]=>[3,2,7,4,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]
[5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]
[5,6,1,4,7,3,2]=>[3,2,7,4,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]
[5,6,1,7,2,3,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]
[5,6,1,7,2,4,3]=>[3,2,7,1,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]
[5,6,1,7,3,2,4]=>[3,2,7,1,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,6,1,7,3,4,2]=>[3,2,7,1,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,6,1,7,4,2,3]=>[3,2,7,1,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]
[5,6,1,7,4,3,2]=>[3,2,7,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]
[5,6,2,1,3,4,7]=>[3,2,6,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,6,2,1,3,7,4]=>[3,2,6,7,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,6,2,1,4,3,7]=>[3,2,6,7,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,6,2,1,4,7,3]=>[3,2,6,7,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,6,2,1,7,3,4]=>[3,2,6,7,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,6,2,1,7,4,3]=>[3,2,6,7,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,6,2,3,1,4,7]=>[3,2,6,5,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,6,2,3,1,7,4]=>[3,2,6,5,7,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,6,2,3,4,1,7]=>[3,2,6,5,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,6,2,3,4,7,1]=>[3,2,6,5,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,6,2,3,7,1,4]=>[3,2,6,5,1,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,6,2,3,7,4,1]=>[3,2,6,5,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,6,2,4,1,3,7]=>[3,2,6,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,6,2,4,1,7,3]=>[3,2,6,4,7,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,6,2,4,3,1,7]=>[3,2,6,4,5,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,6,2,4,3,7,1]=>[3,2,6,4,5,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,6,2,4,7,1,3]=>[3,2,6,4,1,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,6,2,4,7,3,1]=>[3,2,6,4,1,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,6,2,7,1,3,4]=>[3,2,6,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,6,2,7,1,4,3]=>[3,2,6,1,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,6,2,7,3,1,4]=>[3,2,6,1,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,6,2,7,3,4,1]=>[3,2,6,1,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,6,2,7,4,1,3]=>[3,2,6,1,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,6,2,7,4,3,1]=>[3,2,6,1,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,6,3,1,2,4,7]=>[3,2,5,7,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,6,3,1,2,7,4]=>[3,2,5,7,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,6,3,1,4,2,7]=>[3,2,5,7,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,6,3,1,4,7,2]=>[3,2,5,7,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,6,3,1,7,2,4]=>[3,2,5,7,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,6,3,1,7,4,2]=>[3,2,5,7,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,6,3,2,1,4,7]=>[3,2,5,6,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,6,3,2,1,7,4]=>[3,2,5,6,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,6,3,2,4,1,7]=>[3,2,5,6,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,6,3,2,4,7,1]=>[3,2,5,6,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,6,3,2,7,1,4]=>[3,2,5,6,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,6,3,2,7,4,1]=>[3,2,5,6,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,6,3,4,1,7,2]=>[3,2,5,4,7,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,6,3,4,2,1,7]=>[3,2,5,4,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,6,3,4,2,7,1]=>[3,2,5,4,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,6,3,4,7,1,2]=>[3,2,5,4,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,6,3,4,7,2,1]=>[3,2,5,4,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,6,3,7,1,4,2]=>[3,2,5,1,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,6,3,7,2,1,4]=>[3,2,5,1,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,6,3,7,2,4,1]=>[3,2,5,1,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,6,3,7,4,1,2]=>[3,2,5,1,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,6,3,7,4,2,1]=>[3,2,5,1,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,6,4,1,2,3,7]=>[3,2,4,7,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]
[5,6,4,1,2,7,3]=>[3,2,4,7,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]
[5,6,4,1,3,2,7]=>[3,2,4,7,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]
[5,6,4,1,3,7,2]=>[3,2,4,7,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]
[5,6,4,1,7,2,3]=>[3,2,4,7,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]
[5,6,4,1,7,3,2]=>[3,2,4,7,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]
[5,6,4,2,1,3,7]=>[3,2,4,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,6,4,2,1,7,3]=>[3,2,4,6,7,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,6,4,2,3,1,7]=>[3,2,4,6,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,6,4,2,3,7,1]=>[3,2,4,6,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,6,4,2,7,1,3]=>[3,2,4,6,1,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,6,4,2,7,3,1]=>[3,2,4,6,1,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]
[5,6,4,3,1,7,2]=>[3,2,4,5,7,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]
[5,6,4,3,2,1,7]=>[3,2,4,5,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]
[5,6,4,3,2,7,1]=>[3,2,4,5,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]
[5,6,4,3,7,1,2]=>[3,2,4,5,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]
[5,6,4,3,7,2,1]=>[3,2,4,5,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]
[5,6,4,7,1,2,3]=>[3,2,4,1,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]
[5,6,4,7,1,3,2]=>[3,2,4,1,7,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]
[5,6,4,7,2,1,3]=>[3,2,4,1,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,6,4,7,2,3,1]=>[3,2,4,1,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,6,4,7,3,1,2]=>[3,2,4,1,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]
[5,6,4,7,3,2,1]=>[3,2,4,1,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]
[5,6,7,1,2,3,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]
[5,6,7,1,2,4,3]=>[3,2,1,7,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]
[5,6,7,1,3,2,4]=>[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,6,7,1,3,4,2]=>[3,2,1,7,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]
[5,6,7,1,4,2,3]=>[3,2,1,7,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]
[5,6,7,1,4,3,2]=>[3,2,1,7,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]
[5,6,7,2,1,3,4]=>[3,2,1,6,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,6,7,2,1,4,3]=>[3,2,1,6,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,6,7,2,3,1,4]=>[3,2,1,6,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,6,7,2,3,4,1]=>[3,2,1,6,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]
[5,6,7,2,4,1,3]=>[3,2,1,6,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,6,7,2,4,3,1]=>[3,2,1,6,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]
[5,6,7,3,1,2,4]=>[3,2,1,5,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,6,7,3,1,4,2]=>[3,2,1,5,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,6,7,3,2,1,4]=>[3,2,1,5,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,6,7,3,2,4,1]=>[3,2,1,5,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,6,7,3,4,1,2]=>[3,2,1,5,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]
[5,6,7,3,4,2,1]=>[3,2,1,5,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]
[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]
[5,6,7,4,1,3,2]=>[3,2,1,4,7,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]
[5,6,7,4,2,1,3]=>[3,2,1,4,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,6,7,4,2,3,1]=>[3,2,1,4,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[[[]]],[],[[]],[]]
[5,6,7,4,3,1,2]=>[3,2,1,4,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[[[]]],[],[],[[]]]
[5,6,7,4,3,2,1]=>[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[[[]]],[],[],[],[]]
[5,7,1,2,3,4,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]
[5,7,1,2,3,6,4]=>[3,1,7,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]
[5,7,1,2,4,3,6]=>[3,1,7,6,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]
[5,7,1,2,4,6,3]=>[3,1,7,6,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]
[5,7,1,2,6,3,4]=>[3,1,7,6,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]
[5,7,1,2,6,4,3]=>[3,1,7,6,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]
[5,7,1,3,2,4,6]=>[3,1,7,5,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,7,1,3,2,6,4]=>[3,1,7,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,7,1,3,4,2,6]=>[3,1,7,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,7,1,3,4,6,2]=>[3,1,7,5,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,7,1,3,6,2,4]=>[3,1,7,5,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,7,1,3,6,4,2]=>[3,1,7,5,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,7,1,4,2,3,6]=>[3,1,7,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]
[5,7,1,4,2,6,3]=>[3,1,7,4,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]
[5,7,1,4,3,2,6]=>[3,1,7,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]
[5,7,1,4,3,6,2]=>[3,1,7,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]
[5,7,1,4,6,2,3]=>[3,1,7,4,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]
[5,7,1,4,6,3,2]=>[3,1,7,4,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]
[5,7,1,6,2,3,4]=>[3,1,7,2,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]
[5,7,1,6,2,4,3]=>[3,1,7,2,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]
[5,7,1,6,3,2,4]=>[3,1,7,2,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,7,1,6,3,4,2]=>[3,1,7,2,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,7,1,6,4,2,3]=>[3,1,7,2,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]
[5,7,1,6,4,3,2]=>[3,1,7,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]
[5,7,2,1,3,4,6]=>[3,1,6,7,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,7,2,1,3,6,4]=>[3,1,6,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,7,2,1,4,3,6]=>[3,1,6,7,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,7,2,1,4,6,3]=>[3,1,6,7,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,7,2,1,6,3,4]=>[3,1,6,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,7,2,1,6,4,3]=>[3,1,6,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,7,2,3,1,4,6]=>[3,1,6,5,7,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,7,2,3,1,6,4]=>[3,1,6,5,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,7,2,3,4,1,6]=>[3,1,6,5,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,7,2,3,4,6,1]=>[3,1,6,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,7,2,3,6,1,4]=>[3,1,6,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,7,2,3,6,4,1]=>[3,1,6,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,7,2,4,1,3,6]=>[3,1,6,4,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,7,2,4,1,6,3]=>[3,1,6,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,7,2,4,3,1,6]=>[3,1,6,4,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,7,2,4,3,6,1]=>[3,1,6,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,7,2,4,6,3,1]=>[3,1,6,4,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,7,2,6,1,3,4]=>[3,1,6,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,7,2,6,1,4,3]=>[3,1,6,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,7,2,6,3,1,4]=>[3,1,6,2,5,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,7,2,6,3,4,1]=>[3,1,6,2,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,7,2,6,4,1,3]=>[3,1,6,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,7,2,6,4,3,1]=>[3,1,6,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,7,3,1,2,4,6]=>[3,1,5,7,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,7,3,1,2,6,4]=>[3,1,5,7,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,7,3,1,4,2,6]=>[3,1,5,7,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,7,3,1,4,6,2]=>[3,1,5,7,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,7,3,1,6,2,4]=>[3,1,5,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,7,3,1,6,4,2]=>[3,1,5,7,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,7,3,2,1,4,6]=>[3,1,5,6,7,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,7,3,2,1,6,4]=>[3,1,5,6,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,7,3,2,4,1,6]=>[3,1,5,6,4,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,7,3,2,4,6,1]=>[3,1,5,6,4,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,7,3,2,6,1,4]=>[3,1,5,6,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,7,3,2,6,4,1]=>[3,1,5,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,7,3,4,1,2,6]=>[3,1,5,4,7,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,7,3,4,2,1,6]=>[3,1,5,4,6,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,7,3,4,2,6,1]=>[3,1,5,4,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,7,3,4,6,1,2]=>[3,1,5,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,7,3,4,6,2,1]=>[3,1,5,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,7,3,6,1,2,4]=>[3,1,5,2,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,7,3,6,2,1,4]=>[3,1,5,2,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,7,3,6,2,4,1]=>[3,1,5,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,7,3,6,4,1,2]=>[3,1,5,2,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,7,3,6,4,2,1]=>[3,1,5,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,7,4,1,2,3,6]=>[3,1,4,7,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]
[5,7,4,1,2,6,3]=>[3,1,4,7,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]
[5,7,4,1,3,2,6]=>[3,1,4,7,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]
[5,7,4,1,3,6,2]=>[3,1,4,7,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]
[5,7,4,1,6,2,3]=>[3,1,4,7,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]
[5,7,4,1,6,3,2]=>[3,1,4,7,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]
[5,7,4,2,1,3,6]=>[3,1,4,6,7,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,7,4,2,1,6,3]=>[3,1,4,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,7,4,2,3,1,6]=>[3,1,4,6,5,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,7,4,2,3,6,1]=>[3,1,4,6,5,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,7,4,2,6,1,3]=>[3,1,4,6,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,7,4,2,6,3,1]=>[3,1,4,6,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,7,4,3,1,2,6]=>[3,1,4,5,7,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]
[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]
[5,7,4,3,2,1,6]=>[3,1,4,5,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]
[5,7,4,3,2,6,1]=>[3,1,4,5,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]
[5,7,4,3,6,1,2]=>[3,1,4,5,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]
[5,7,4,3,6,2,1]=>[3,1,4,5,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]
[5,7,4,6,1,2,3]=>[3,1,4,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]
[5,7,4,6,1,3,2]=>[3,1,4,2,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]
[5,7,4,6,2,1,3]=>[3,1,4,2,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,7,4,6,2,3,1]=>[3,1,4,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,7,4,6,3,1,2]=>[3,1,4,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]
[5,7,4,6,3,2,1]=>[3,1,4,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]
[5,7,6,1,2,3,4]=>[3,1,2,7,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]
[5,7,6,1,2,4,3]=>[3,1,2,7,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]
[5,7,6,1,3,2,4]=>[3,1,2,7,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,7,6,1,3,4,2]=>[3,1,2,7,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]
[5,7,6,1,4,2,3]=>[3,1,2,7,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]
[5,7,6,1,4,3,2]=>[3,1,2,7,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]
[5,7,6,2,1,3,4]=>[3,1,2,6,7,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,7,6,2,1,4,3]=>[3,1,2,6,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,7,6,2,3,1,4]=>[3,1,2,6,5,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,7,6,2,3,4,1]=>[3,1,2,6,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]
[5,7,6,2,4,1,3]=>[3,1,2,6,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,7,6,2,4,3,1]=>[3,1,2,6,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]
[5,7,6,3,1,2,4]=>[3,1,2,5,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,7,6,3,1,4,2]=>[3,1,2,5,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,7,6,3,2,1,4]=>[3,1,2,5,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,7,6,3,2,4,1]=>[3,1,2,5,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,7,6,3,4,1,2]=>[3,1,2,5,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]
[5,7,6,3,4,2,1]=>[3,1,2,5,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]
[5,7,6,4,1,2,3]=>[3,1,2,4,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]
[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]
[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,7,6,4,2,3,1]=>[3,1,2,4,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]
[5,7,6,4,3,1,2]=>[3,1,2,4,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[],[]],[],[],[[]]]
[5,7,6,4,3,2,1]=>[3,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[]],[],[],[],[]]
[6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]=>[[[]],[[[[[]]]]]]
[6,1,2,3,4,7,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>[[[]],[[[[[]]]]]]
[6,1,2,3,5,4,7]=>[2,7,6,5,3,4,1]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>[[[]],[[[[],[]]]]]
[6,1,2,3,5,7,4]=>[2,7,6,5,3,1,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>[[[]],[[[[],[]]]]]
[6,1,2,3,7,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>[[[]],[[[[[]]]]]]
[6,1,2,3,7,5,4]=>[2,7,6,5,1,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>[[[]],[[[[],[]]]]]
[6,1,2,4,3,5,7]=>[2,7,6,4,5,3,1]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]
[6,1,2,4,3,7,5]=>[2,7,6,4,5,1,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]
[6,1,2,4,5,3,7]=>[2,7,6,4,3,5,1]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]
[6,1,2,4,5,7,3]=>[2,7,6,4,3,1,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]
[6,1,2,4,7,3,5]=>[2,7,6,4,1,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]
[6,1,2,4,7,5,3]=>[2,7,6,4,1,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]
[6,1,2,5,3,4,7]=>[2,7,6,3,5,4,1]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>[[[]],[[[],[[]]]]]
[6,1,2,5,3,7,4]=>[2,7,6,3,5,1,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>[[[]],[[[],[[]]]]]
[6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>[[[]],[[[],[],[]]]]
[6,1,2,5,4,7,3]=>[2,7,6,3,4,1,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>[[[]],[[[],[],[]]]]
[6,1,2,5,7,3,4]=>[2,7,6,3,1,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>[[[]],[[[],[[]]]]]
[6,1,2,5,7,4,3]=>[2,7,6,3,1,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>[[[]],[[[],[],[]]]]
[6,1,2,7,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>[[[]],[[[[[]]]]]]
[6,1,2,7,3,5,4]=>[2,7,6,1,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>[[[]],[[[[],[]]]]]
[6,1,2,7,4,3,5]=>[2,7,6,1,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]
[6,1,2,7,4,5,3]=>[2,7,6,1,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]
[6,1,2,7,5,3,4]=>[2,7,6,1,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>[[[]],[[[],[[]]]]]
[6,1,2,7,5,4,3]=>[2,7,6,1,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>[[[]],[[[],[],[]]]]
[6,1,3,2,4,5,7]=>[2,7,5,6,4,3,1]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,1,3,2,4,7,5]=>[2,7,5,6,4,1,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,1,3,2,5,7,4]=>[2,7,5,6,3,1,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,1,3,2,7,4,5]=>[2,7,5,6,1,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,1,3,2,7,5,4]=>[2,7,5,6,1,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,1,3,4,2,5,7]=>[2,7,5,4,6,3,1]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,1,3,4,2,7,5]=>[2,7,5,4,6,1,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,1,3,4,5,2,7]=>[2,7,5,4,3,6,1]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,1,3,4,7,2,5]=>[2,7,5,4,1,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,1,3,4,7,5,2]=>[2,7,5,4,1,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,1,3,5,2,4,7]=>[2,7,5,3,6,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,1,3,5,2,7,4]=>[2,7,5,3,6,1,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,1,3,5,4,2,7]=>[2,7,5,3,4,6,1]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,1,3,5,4,7,2]=>[2,7,5,3,4,1,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,1,3,5,7,2,4]=>[2,7,5,3,1,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,1,3,5,7,4,2]=>[2,7,5,3,1,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,1,3,7,2,4,5]=>[2,7,5,1,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,1,3,7,2,5,4]=>[2,7,5,1,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,1,3,7,4,2,5]=>[2,7,5,1,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,1,3,7,4,5,2]=>[2,7,5,1,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,1,3,7,5,2,4]=>[2,7,5,1,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,1,3,7,5,4,2]=>[2,7,5,1,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,1,4,2,3,5,7]=>[2,7,4,6,5,3,1]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,1,4,2,3,7,5]=>[2,7,4,6,5,1,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,1,4,2,5,3,7]=>[2,7,4,6,3,5,1]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,1,4,2,5,7,3]=>[2,7,4,6,3,1,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,1,4,2,7,3,5]=>[2,7,4,6,1,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,1,4,2,7,5,3]=>[2,7,4,6,1,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,1,4,3,2,5,7]=>[2,7,4,5,6,3,1]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,1,4,3,2,7,5]=>[2,7,4,5,6,1,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,1,4,3,5,2,7]=>[2,7,4,5,3,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,1,4,3,5,7,2]=>[2,7,4,5,3,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,1,4,3,7,2,5]=>[2,7,4,5,1,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,1,4,3,7,5,2]=>[2,7,4,5,1,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,1,4,5,2,3,7]=>[2,7,4,3,6,5,1]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,1,4,5,2,7,3]=>[2,7,4,3,6,1,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,1,4,5,3,2,7]=>[2,7,4,3,5,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,1,4,5,3,7,2]=>[2,7,4,3,5,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,1,4,5,7,2,3]=>[2,7,4,3,1,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,1,4,5,7,3,2]=>[2,7,4,3,1,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,1,4,7,2,3,5]=>[2,7,4,1,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,1,4,7,2,5,3]=>[2,7,4,1,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,1,4,7,3,2,5]=>[2,7,4,1,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,1,4,7,3,5,2]=>[2,7,4,1,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,1,4,7,5,2,3]=>[2,7,4,1,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,1,4,7,5,3,2]=>[2,7,4,1,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,1,5,2,3,4,7]=>[2,7,3,6,5,4,1]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>[[[]],[[],[[[]]]]]
[6,1,5,2,3,7,4]=>[2,7,3,6,5,1,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>[[[]],[[],[[[]]]]]
[6,1,5,2,4,3,7]=>[2,7,3,6,4,5,1]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>[[[]],[[],[[],[]]]]
[6,1,5,2,4,7,3]=>[2,7,3,6,4,1,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>[[[]],[[],[[],[]]]]
[6,1,5,2,7,3,4]=>[2,7,3,6,1,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>[[[]],[[],[[[]]]]]
[6,1,5,2,7,4,3]=>[2,7,3,6,1,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>[[[]],[[],[[],[]]]]
[6,1,5,3,2,4,7]=>[2,7,3,5,6,4,1]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]
[6,1,5,3,2,7,4]=>[2,7,3,5,6,1,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]
[6,1,5,3,4,2,7]=>[2,7,3,5,4,6,1]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]
[6,1,5,3,4,7,2]=>[2,7,3,5,4,1,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]
[6,1,5,3,7,2,4]=>[2,7,3,5,1,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]
[6,1,5,3,7,4,2]=>[2,7,3,5,1,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]
[6,1,5,4,2,3,7]=>[2,7,3,4,6,5,1]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>[[[]],[[],[],[[]]]]
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[6,1,5,4,3,2,7]=>[2,7,3,4,5,6,1]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[[[]],[[],[],[],[]]]
[6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[[[]],[[],[],[],[]]]
[6,1,5,4,7,2,3]=>[2,7,3,4,1,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>[[[]],[[],[],[[]]]]
[6,1,5,4,7,3,2]=>[2,7,3,4,1,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[[[]],[[],[],[],[]]]
[6,1,5,7,2,3,4]=>[2,7,3,1,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>[[[]],[[],[[[]]]]]
[6,1,5,7,2,4,3]=>[2,7,3,1,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>[[[]],[[],[[],[]]]]
[6,1,5,7,3,2,4]=>[2,7,3,1,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]
[6,1,5,7,3,4,2]=>[2,7,3,1,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]
[6,1,5,7,4,2,3]=>[2,7,3,1,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>[[[]],[[],[],[[]]]]
[6,1,5,7,4,3,2]=>[2,7,3,1,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[[[]],[[],[],[],[]]]
[6,1,7,2,3,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>[[[]],[[[[[]]]]]]
[6,1,7,2,3,5,4]=>[2,7,1,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>[[[]],[[[[],[]]]]]
[6,1,7,2,4,3,5]=>[2,7,1,6,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]
[6,1,7,2,4,5,3]=>[2,7,1,6,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]
[6,1,7,2,5,3,4]=>[2,7,1,6,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>[[[]],[[[],[[]]]]]
[6,1,7,2,5,4,3]=>[2,7,1,6,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>[[[]],[[[],[],[]]]]
[6,1,7,3,2,4,5]=>[2,7,1,5,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,1,7,3,2,5,4]=>[2,7,1,5,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,1,7,3,4,2,5]=>[2,7,1,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,1,7,3,4,5,2]=>[2,7,1,5,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,1,7,3,5,2,4]=>[2,7,1,5,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,1,7,3,5,4,2]=>[2,7,1,5,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,1,7,4,2,3,5]=>[2,7,1,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,1,7,4,2,5,3]=>[2,7,1,4,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,1,7,4,3,2,5]=>[2,7,1,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,1,7,4,3,5,2]=>[2,7,1,4,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,1,7,4,5,2,3]=>[2,7,1,4,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,1,7,4,5,3,2]=>[2,7,1,4,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,1,7,5,2,3,4]=>[2,7,1,3,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>[[[]],[[],[[[]]]]]
[6,1,7,5,2,4,3]=>[2,7,1,3,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>[[[]],[[],[[],[]]]]
[6,1,7,5,3,2,4]=>[2,7,1,3,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]
[6,1,7,5,3,4,2]=>[2,7,1,3,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]
[6,1,7,5,4,2,3]=>[2,7,1,3,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>[[[]],[[],[],[[]]]]
[6,1,7,5,4,3,2]=>[2,7,1,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[[[]],[[],[],[],[]]]
[6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,1,3,4,7,5]=>[2,6,7,5,4,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,1,3,5,4,7]=>[2,6,7,5,3,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,1,3,5,7,4]=>[2,6,7,5,3,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,1,3,7,4,5]=>[2,6,7,5,1,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,1,3,7,5,4]=>[2,6,7,5,1,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,1,4,3,5,7]=>[2,6,7,4,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,1,4,3,7,5]=>[2,6,7,4,5,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,1,4,5,3,7]=>[2,6,7,4,3,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,1,4,5,7,3]=>[2,6,7,4,3,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,1,4,7,3,5]=>[2,6,7,4,1,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,1,4,7,5,3]=>[2,6,7,4,1,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,1,5,3,4,7]=>[2,6,7,3,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,1,5,3,7,4]=>[2,6,7,3,5,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,1,5,4,3,7]=>[2,6,7,3,4,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,1,5,4,7,3]=>[2,6,7,3,4,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,1,5,7,3,4]=>[2,6,7,3,1,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,1,5,7,4,3]=>[2,6,7,3,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,1,7,3,4,5]=>[2,6,7,1,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,1,7,3,5,4]=>[2,6,7,1,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,1,7,4,3,5]=>[2,6,7,1,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,1,7,4,5,3]=>[2,6,7,1,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,1,7,5,3,4]=>[2,6,7,1,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,1,7,5,4,3]=>[2,6,7,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,3,1,4,5,7]=>[2,6,5,7,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,3,1,4,7,5]=>[2,6,5,7,4,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,3,1,5,4,7]=>[2,6,5,7,3,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,3,1,5,7,4]=>[2,6,5,7,3,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,3,1,7,4,5]=>[2,6,5,7,1,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,3,1,7,5,4]=>[2,6,5,7,1,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,3,4,1,5,7]=>[2,6,5,4,7,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,3,4,1,7,5]=>[2,6,5,4,7,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,3,4,5,7,1]=>[2,6,5,4,3,1,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,3,4,7,5,1]=>[2,6,5,4,1,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,3,5,1,4,7]=>[2,6,5,3,7,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,3,5,1,7,4]=>[2,6,5,3,7,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,3,5,4,7,1]=>[2,6,5,3,4,1,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,3,5,7,1,4]=>[2,6,5,3,1,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,3,5,7,4,1]=>[2,6,5,3,1,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,3,7,1,4,5]=>[2,6,5,1,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,3,7,1,5,4]=>[2,6,5,1,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,3,7,4,1,5]=>[2,6,5,1,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,3,7,4,5,1]=>[2,6,5,1,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,3,7,5,4,1]=>[2,6,5,1,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,4,1,3,5,7]=>[2,6,4,7,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,1,3,7,5]=>[2,6,4,7,5,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,1,5,3,7]=>[2,6,4,7,3,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,1,5,7,3]=>[2,6,4,7,3,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,1,7,3,5]=>[2,6,4,7,1,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,1,7,5,3]=>[2,6,4,7,1,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,3,1,5,7]=>[2,6,4,5,7,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,3,1,7,5]=>[2,6,4,5,7,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,3,5,7,1]=>[2,6,4,5,3,1,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,3,7,5,1]=>[2,6,4,5,1,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,5,1,3,7]=>[2,6,4,3,7,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,5,1,7,3]=>[2,6,4,3,7,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,5,3,1,7]=>[2,6,4,3,5,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,5,3,7,1]=>[2,6,4,3,5,1,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,5,7,1,3]=>[2,6,4,3,1,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,5,7,3,1]=>[2,6,4,3,1,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,7,1,3,5]=>[2,6,4,1,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,7,1,5,3]=>[2,6,4,1,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,7,3,1,5]=>[2,6,4,1,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,7,3,5,1]=>[2,6,4,1,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,7,5,1,3]=>[2,6,4,1,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,4,7,5,3,1]=>[2,6,4,1,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,5,1,3,4,7]=>[2,6,3,7,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,5,1,3,7,4]=>[2,6,3,7,5,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,5,1,4,3,7]=>[2,6,3,7,4,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,5,1,4,7,3]=>[2,6,3,7,4,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,5,1,7,3,4]=>[2,6,3,7,1,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,5,1,7,4,3]=>[2,6,3,7,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,5,3,1,4,7]=>[2,6,3,5,7,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,5,3,1,7,4]=>[2,6,3,5,7,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,5,3,4,1,7]=>[2,6,3,5,4,7,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,5,3,4,7,1]=>[2,6,3,5,4,1,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,5,3,7,4,1]=>[2,6,3,5,1,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,5,4,1,3,7]=>[2,6,3,4,7,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,5,4,1,7,3]=>[2,6,3,4,7,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,5,4,3,7,1]=>[2,6,3,4,5,1,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,5,4,7,1,3]=>[2,6,3,4,1,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,5,4,7,3,1]=>[2,6,3,4,1,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,5,7,1,3,4]=>[2,6,3,1,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,5,7,1,4,3]=>[2,6,3,1,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,5,7,3,4,1]=>[2,6,3,1,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,5,7,4,1,3]=>[2,6,3,1,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,5,7,4,3,1]=>[2,6,3,1,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,7,1,3,4,5]=>[2,6,1,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,7,1,3,5,4]=>[2,6,1,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,7,1,4,3,5]=>[2,6,1,7,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,7,1,4,5,3]=>[2,6,1,7,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,7,1,5,4,3]=>[2,6,1,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,7,3,1,4,5]=>[2,6,1,5,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,7,3,1,5,4]=>[2,6,1,5,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,7,3,4,1,5]=>[2,6,1,5,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,7,3,4,5,1]=>[2,6,1,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,2,7,3,5,1,4]=>[2,6,1,5,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,7,3,5,4,1]=>[2,6,1,5,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,2,7,4,1,3,5]=>[2,6,1,4,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,7,4,1,5,3]=>[2,6,1,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,7,4,3,1,5]=>[2,6,1,4,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,7,4,3,5,1]=>[2,6,1,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,7,4,5,3,1]=>[2,6,1,4,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,2,7,5,1,3,4]=>[2,6,1,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,7,5,1,4,3]=>[2,6,1,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,7,5,3,1,4]=>[2,6,1,3,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,7,5,3,4,1]=>[2,6,1,3,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,2,7,5,4,3,1]=>[2,6,1,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,1,2,4,7,5]=>[2,5,7,6,4,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,1,2,5,4,7]=>[2,5,7,6,3,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,1,2,5,7,4]=>[2,5,7,6,3,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,1,2,7,4,5]=>[2,5,7,6,1,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,1,2,7,5,4]=>[2,5,7,6,1,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,1,4,2,5,7]=>[2,5,7,4,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,1,4,2,7,5]=>[2,5,7,4,6,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,1,4,5,2,7]=>[2,5,7,4,3,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,1,4,5,7,2]=>[2,5,7,4,3,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,1,4,7,2,5]=>[2,5,7,4,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,1,5,2,4,7]=>[2,5,7,3,6,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,1,5,2,7,4]=>[2,5,7,3,6,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,1,5,4,2,7]=>[2,5,7,3,4,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,1,5,4,7,2]=>[2,5,7,3,4,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,1,5,7,2,4]=>[2,5,7,3,1,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,1,5,7,4,2]=>[2,5,7,3,1,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,1,7,2,4,5]=>[2,5,7,1,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,1,7,2,5,4]=>[2,5,7,1,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,1,7,4,2,5]=>[2,5,7,1,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,1,7,4,5,2]=>[2,5,7,1,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,1,7,5,2,4]=>[2,5,7,1,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,1,7,5,4,2]=>[2,5,7,1,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,2,1,4,7,5]=>[2,5,6,7,4,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,2,1,5,4,7]=>[2,5,6,7,3,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,2,1,5,7,4]=>[2,5,6,7,3,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,2,1,7,4,5]=>[2,5,6,7,1,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,2,1,7,5,4]=>[2,5,6,7,1,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,2,4,1,5,7]=>[2,5,6,4,7,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,2,4,1,7,5]=>[2,5,6,4,7,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,2,4,5,7,1]=>[2,5,6,4,3,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,2,4,7,5,1]=>[2,5,6,4,1,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,2,5,1,4,7]=>[2,5,6,3,7,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,2,5,1,7,4]=>[2,5,6,3,7,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,2,5,4,7,1]=>[2,5,6,3,4,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,2,5,7,1,4]=>[2,5,6,3,1,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,2,5,7,4,1]=>[2,5,6,3,1,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,2,7,1,4,5]=>[2,5,6,1,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,2,7,1,5,4]=>[2,5,6,1,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,2,7,4,1,5]=>[2,5,6,1,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,2,7,4,5,1]=>[2,5,6,1,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,2,7,5,4,1]=>[2,5,6,1,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,4,1,2,5,7]=>[2,5,4,7,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,4,1,2,7,5]=>[2,5,4,7,6,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,4,1,5,2,7]=>[2,5,4,7,3,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,4,1,5,7,2]=>[2,5,4,7,3,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,4,1,7,2,5]=>[2,5,4,7,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,4,1,7,5,2]=>[2,5,4,7,1,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,4,2,1,5,7]=>[2,5,4,6,7,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,4,2,1,7,5]=>[2,5,4,6,7,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,4,2,5,1,7]=>[2,5,4,6,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,4,2,5,7,1]=>[2,5,4,6,3,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,4,2,7,1,5]=>[2,5,4,6,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,4,2,7,5,1]=>[2,5,4,6,1,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,4,5,1,2,7]=>[2,5,4,3,7,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,4,5,1,7,2]=>[2,5,4,3,7,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,4,5,2,1,7]=>[2,5,4,3,6,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,4,5,2,7,1]=>[2,5,4,3,6,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,4,5,7,1,2]=>[2,5,4,3,1,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,4,5,7,2,1]=>[2,5,4,3,1,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,4,7,1,2,5]=>[2,5,4,1,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,4,7,1,5,2]=>[2,5,4,1,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,4,7,2,1,5]=>[2,5,4,1,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,4,7,2,5,1]=>[2,5,4,1,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,4,7,5,1,2]=>[2,5,4,1,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,4,7,5,2,1]=>[2,5,4,1,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,5,1,2,4,7]=>[2,5,3,7,6,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,5,1,2,7,4]=>[2,5,3,7,6,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,5,1,4,2,7]=>[2,5,3,7,4,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,5,1,4,7,2]=>[2,5,3,7,4,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,5,1,7,2,4]=>[2,5,3,7,1,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,5,1,7,4,2]=>[2,5,3,7,1,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,5,2,1,4,7]=>[2,5,3,6,7,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,5,2,1,7,4]=>[2,5,3,6,7,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,5,2,4,1,7]=>[2,5,3,6,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,5,2,4,7,1]=>[2,5,3,6,4,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,5,2,7,1,4]=>[2,5,3,6,1,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,5,2,7,4,1]=>[2,5,3,6,1,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,5,4,1,2,7]=>[2,5,3,4,7,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,5,4,1,7,2]=>[2,5,3,4,7,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,5,4,2,1,7]=>[2,5,3,4,6,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,5,4,2,7,1]=>[2,5,3,4,6,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,5,4,7,1,2]=>[2,5,3,4,1,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,5,4,7,2,1]=>[2,5,3,4,1,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,5,7,1,2,4]=>[2,5,3,1,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,5,7,1,4,2]=>[2,5,3,1,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,5,7,2,1,4]=>[2,5,3,1,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,5,7,2,4,1]=>[2,5,3,1,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,5,7,4,1,2]=>[2,5,3,1,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,5,7,4,2,1]=>[2,5,3,1,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,7,1,2,4,5]=>[2,5,1,7,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,7,1,2,5,4]=>[2,5,1,7,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,7,1,4,2,5]=>[2,5,1,7,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,7,1,4,5,2]=>[2,5,1,7,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,7,1,5,2,4]=>[2,5,1,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,7,1,5,4,2]=>[2,5,1,7,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,7,2,1,4,5]=>[2,5,1,6,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,7,2,1,5,4]=>[2,5,1,6,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,7,2,4,1,5]=>[2,5,1,6,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,7,2,4,5,1]=>[2,5,1,6,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,7,2,5,1,4]=>[2,5,1,6,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,7,2,5,4,1]=>[2,5,1,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,7,4,1,2,5]=>[2,5,1,4,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,7,4,2,1,5]=>[2,5,1,4,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,7,4,2,5,1]=>[2,5,1,4,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,7,4,5,1,2]=>[2,5,1,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,3,7,4,5,2,1]=>[2,5,1,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,3,7,5,1,2,4]=>[2,5,1,3,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,7,5,1,4,2]=>[2,5,1,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,7,5,2,1,4]=>[2,5,1,3,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,7,5,2,4,1]=>[2,5,1,3,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,3,7,5,4,1,2]=>[2,5,1,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,3,7,5,4,2,1]=>[2,5,1,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,1,2,3,7,5]=>[2,4,7,6,5,1,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,1,2,5,3,7]=>[2,4,7,6,3,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,1,2,5,7,3]=>[2,4,7,6,3,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,1,2,7,3,5]=>[2,4,7,6,1,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,1,2,7,5,3]=>[2,4,7,6,1,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,1,3,2,5,7]=>[2,4,7,5,6,3,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,1,3,2,7,5]=>[2,4,7,5,6,1,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,1,3,5,2,7]=>[2,4,7,5,3,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,1,3,5,7,2]=>[2,4,7,5,3,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,1,3,7,2,5]=>[2,4,7,5,1,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,1,3,7,5,2]=>[2,4,7,5,1,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,1,5,2,3,7]=>[2,4,7,3,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,1,5,2,7,3]=>[2,4,7,3,6,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,1,5,3,2,7]=>[2,4,7,3,5,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,1,5,3,7,2]=>[2,4,7,3,5,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,1,5,7,2,3]=>[2,4,7,3,1,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,1,5,7,3,2]=>[2,4,7,3,1,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,1,7,2,3,5]=>[2,4,7,1,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,1,7,2,5,3]=>[2,4,7,1,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,1,7,3,2,5]=>[2,4,7,1,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,1,7,3,5,2]=>[2,4,7,1,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,1,7,5,2,3]=>[2,4,7,1,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,1,7,5,3,2]=>[2,4,7,1,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,1,3,7,5]=>[2,4,6,7,5,1,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,1,5,3,7]=>[2,4,6,7,3,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,1,5,7,3]=>[2,4,6,7,3,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,1,7,3,5]=>[2,4,6,7,1,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,1,7,5,3]=>[2,4,6,7,1,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,3,1,5,7]=>[2,4,6,5,7,3,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,3,1,7,5]=>[2,4,6,5,7,1,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,3,5,1,7]=>[2,4,6,5,3,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,3,5,7,1]=>[2,4,6,5,3,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,3,7,1,5]=>[2,4,6,5,1,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,3,7,5,1]=>[2,4,6,5,1,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,5,1,3,7]=>[2,4,6,3,7,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,5,1,7,3]=>[2,4,6,3,7,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,5,3,1,7]=>[2,4,6,3,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,5,3,7,1]=>[2,4,6,3,5,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,5,7,1,3]=>[2,4,6,3,1,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,5,7,3,1]=>[2,4,6,3,1,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,7,1,3,5]=>[2,4,6,1,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,7,1,5,3]=>[2,4,6,1,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,7,3,1,5]=>[2,4,6,1,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,7,3,5,1]=>[2,4,6,1,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,7,5,1,3]=>[2,4,6,1,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,2,7,5,3,1]=>[2,4,6,1,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,3,1,2,7,5]=>[2,4,5,7,6,1,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,3,1,5,2,7]=>[2,4,5,7,3,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,3,1,5,7,2]=>[2,4,5,7,3,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,3,1,7,2,5]=>[2,4,5,7,1,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,3,1,7,5,2]=>[2,4,5,7,1,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,3,2,1,7,5]=>[2,4,5,6,7,1,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,3,2,5,7,1]=>[2,4,5,6,3,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,3,2,7,5,1]=>[2,4,5,6,1,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,3,5,1,2,7]=>[2,4,5,3,7,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,3,5,1,7,2]=>[2,4,5,3,7,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,3,5,2,1,7]=>[2,4,5,3,6,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,3,5,2,7,1]=>[2,4,5,3,6,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,3,5,7,1,2]=>[2,4,5,3,1,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,3,5,7,2,1]=>[2,4,5,3,1,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,3,7,1,2,5]=>[2,4,5,1,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,3,7,1,5,2]=>[2,4,5,1,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,3,7,2,1,5]=>[2,4,5,1,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,3,7,2,5,1]=>[2,4,5,1,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,3,7,5,1,2]=>[2,4,5,1,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,3,7,5,2,1]=>[2,4,5,1,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,5,1,2,3,7]=>[2,4,3,7,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,5,1,2,7,3]=>[2,4,3,7,6,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,5,1,3,2,7]=>[2,4,3,7,5,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,5,1,3,7,2]=>[2,4,3,7,5,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,5,1,7,2,3]=>[2,4,3,7,1,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,5,1,7,3,2]=>[2,4,3,7,1,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,5,2,1,3,7]=>[2,4,3,6,7,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,5,2,1,7,3]=>[2,4,3,6,7,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,5,2,3,7,1]=>[2,4,3,6,5,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,5,2,7,1,3]=>[2,4,3,6,1,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,5,2,7,3,1]=>[2,4,3,6,1,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,5,3,1,2,7]=>[2,4,3,5,7,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,5,3,1,7,2]=>[2,4,3,5,7,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,5,3,2,1,7]=>[2,4,3,5,6,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,5,3,2,7,1]=>[2,4,3,5,6,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,5,3,7,1,2]=>[2,4,3,5,1,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,5,3,7,2,1]=>[2,4,3,5,1,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,5,7,1,2,3]=>[2,4,3,1,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,5,7,1,3,2]=>[2,4,3,1,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,5,7,2,1,3]=>[2,4,3,1,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,5,7,2,3,1]=>[2,4,3,1,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,5,7,3,1,2]=>[2,4,3,1,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,5,7,3,2,1]=>[2,4,3,1,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,7,1,2,3,5]=>[2,4,1,7,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,7,1,2,5,3]=>[2,4,1,7,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,7,1,3,2,5]=>[2,4,1,7,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,7,1,3,5,2]=>[2,4,1,7,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,7,1,5,2,3]=>[2,4,1,7,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,7,1,5,3,2]=>[2,4,1,7,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,7,2,1,3,5]=>[2,4,1,6,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,7,2,1,5,3]=>[2,4,1,6,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,7,2,3,1,5]=>[2,4,1,6,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,7,2,3,5,1]=>[2,4,1,6,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,7,2,5,3,1]=>[2,4,1,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,7,3,1,2,5]=>[2,4,1,5,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,7,3,1,5,2]=>[2,4,1,5,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,7,3,2,1,5]=>[2,4,1,5,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,7,3,2,5,1]=>[2,4,1,5,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,7,3,5,1,2]=>[2,4,1,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,7,3,5,2,1]=>[2,4,1,5,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,4,7,5,1,2,3]=>[2,4,1,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,4,7,5,1,3,2]=>[2,4,1,3,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,4,7,5,2,1,3]=>[2,4,1,3,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,7,5,2,3,1]=>[2,4,1,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,4,7,5,3,1,2]=>[2,4,1,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,4,7,5,3,2,1]=>[2,4,1,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>[[[]],[],[[[[]]]]]
[6,5,1,2,3,7,4]=>[2,3,7,6,5,1,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>[[[]],[],[[[[]]]]]
[6,5,1,2,4,3,7]=>[2,3,7,6,4,5,1]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>[[[]],[],[[[],[]]]]
[6,5,1,2,4,7,3]=>[2,3,7,6,4,1,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>[[[]],[],[[[],[]]]]
[6,5,1,2,7,3,4]=>[2,3,7,6,1,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>[[[]],[],[[[[]]]]]
[6,5,1,2,7,4,3]=>[2,3,7,6,1,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>[[[]],[],[[[],[]]]]
[6,5,1,3,2,4,7]=>[2,3,7,5,6,4,1]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[]],[],[[[]],[]]]
[6,5,1,3,2,7,4]=>[2,3,7,5,6,1,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[]],[],[[[]],[]]]
[6,5,1,3,4,2,7]=>[2,3,7,5,4,6,1]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[]],[],[[[]],[]]]
[6,5,1,3,4,7,2]=>[2,3,7,5,4,1,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[]],[],[[[]],[]]]
[6,5,1,3,7,2,4]=>[2,3,7,5,1,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[]],[],[[[]],[]]]
[6,5,1,3,7,4,2]=>[2,3,7,5,1,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[]],[],[[[]],[]]]
[6,5,1,4,2,3,7]=>[2,3,7,4,6,5,1]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>[[[]],[],[[],[[]]]]
[6,5,1,4,2,7,3]=>[2,3,7,4,6,1,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>[[[]],[],[[],[[]]]]
[6,5,1,4,3,2,7]=>[2,3,7,4,5,6,1]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[[[]],[],[[],[],[]]]
[6,5,1,4,3,7,2]=>[2,3,7,4,5,1,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[[[]],[],[[],[],[]]]
[6,5,1,4,7,2,3]=>[2,3,7,4,1,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>[[[]],[],[[],[[]]]]
[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[[[]],[],[[],[],[]]]
[6,5,1,7,2,3,4]=>[2,3,7,1,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>[[[]],[],[[[[]]]]]
[6,5,1,7,2,4,3]=>[2,3,7,1,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>[[[]],[],[[[],[]]]]
[6,5,1,7,3,2,4]=>[2,3,7,1,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[]],[],[[[]],[]]]
[6,5,1,7,3,4,2]=>[2,3,7,1,5,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[]],[],[[[]],[]]]
[6,5,1,7,4,2,3]=>[2,3,7,1,4,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>[[[]],[],[[],[[]]]]
[6,5,1,7,4,3,2]=>[2,3,7,1,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[[[]],[],[[],[],[]]]
[6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,5,2,1,3,7,4]=>[2,3,6,7,5,1,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,5,2,1,4,3,7]=>[2,3,6,7,4,5,1]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,5,2,1,4,7,3]=>[2,3,6,7,4,1,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,5,2,1,7,3,4]=>[2,3,6,7,1,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,5,2,1,7,4,3]=>[2,3,6,7,1,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,5,2,3,1,4,7]=>[2,3,6,5,7,4,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,5,2,3,1,7,4]=>[2,3,6,5,7,1,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,5,2,3,4,1,7]=>[2,3,6,5,4,7,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,5,2,3,4,7,1]=>[2,3,6,5,4,1,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,5,2,3,7,1,4]=>[2,3,6,5,1,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,5,2,3,7,4,1]=>[2,3,6,5,1,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,5,2,4,1,3,7]=>[2,3,6,4,7,5,1]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,5,2,4,1,7,3]=>[2,3,6,4,7,1,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,5,2,4,3,1,7]=>[2,3,6,4,5,7,1]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,5,2,4,3,7,1]=>[2,3,6,4,5,1,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,5,2,4,7,1,3]=>[2,3,6,4,1,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,5,2,4,7,3,1]=>[2,3,6,4,1,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,5,2,7,1,3,4]=>[2,3,6,1,7,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,5,2,7,1,4,3]=>[2,3,6,1,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,5,2,7,3,1,4]=>[2,3,6,1,5,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,5,2,7,3,4,1]=>[2,3,6,1,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,5,2,7,4,1,3]=>[2,3,6,1,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,5,2,7,4,3,1]=>[2,3,6,1,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,5,3,1,2,7,4]=>[2,3,5,7,6,1,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,5,3,1,4,2,7]=>[2,3,5,7,4,6,1]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,5,3,1,4,7,2]=>[2,3,5,7,4,1,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,5,3,1,7,2,4]=>[2,3,5,7,1,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,5,3,1,7,4,2]=>[2,3,5,7,1,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,5,3,2,1,7,4]=>[2,3,5,6,7,1,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,5,3,2,4,1,7]=>[2,3,5,6,4,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,5,3,2,4,7,1]=>[2,3,5,6,4,1,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,5,3,2,7,1,4]=>[2,3,5,6,1,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,5,3,2,7,4,1]=>[2,3,5,6,1,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,5,3,4,1,2,7]=>[2,3,5,4,7,6,1]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,5,3,4,1,7,2]=>[2,3,5,4,7,1,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,5,3,4,2,7,1]=>[2,3,5,4,6,1,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,5,3,4,7,1,2]=>[2,3,5,4,1,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,5,3,4,7,2,1]=>[2,3,5,4,1,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,5,3,7,1,2,4]=>[2,3,5,1,7,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,5,3,7,1,4,2]=>[2,3,5,1,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,5,3,7,2,4,1]=>[2,3,5,1,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,5,3,7,4,1,2]=>[2,3,5,1,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,5,3,7,4,2,1]=>[2,3,5,1,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>[[[]],[],[],[[[]]]]
[6,5,4,1,2,7,3]=>[2,3,4,7,6,1,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>[[[]],[],[],[[[]]]]
[6,5,4,1,3,2,7]=>[2,3,4,7,5,6,1]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[[[]],[],[],[[],[]]]
[6,5,4,1,3,7,2]=>[2,3,4,7,5,1,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[[[]],[],[],[[],[]]]
[6,5,4,1,7,2,3]=>[2,3,4,7,1,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>[[[]],[],[],[[[]]]]
[6,5,4,1,7,3,2]=>[2,3,4,7,1,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[[[]],[],[],[[],[]]]
[6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[]],[],[],[[]],[]]
[6,5,4,2,1,7,3]=>[2,3,4,6,7,1,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[]],[],[],[[]],[]]
[6,5,4,2,3,1,7]=>[2,3,4,6,5,7,1]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[]],[],[],[[]],[]]
[6,5,4,2,3,7,1]=>[2,3,4,6,5,1,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[]],[],[],[[]],[]]
[6,5,4,2,7,1,3]=>[2,3,4,6,1,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[]],[],[],[[]],[]]
[6,5,4,2,7,3,1]=>[2,3,4,6,1,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[]],[],[],[[]],[]]
[6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[[[]],[],[],[],[[]]]
[6,5,4,3,1,7,2]=>[2,3,4,5,7,1,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[[[]],[],[],[],[[]]]
[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[[[]],[],[],[],[],[]]
[6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[[[]],[],[],[],[],[]]
[6,5,4,3,7,1,2]=>[2,3,4,5,1,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[[[]],[],[],[],[[]]]
[6,5,4,3,7,2,1]=>[2,3,4,5,1,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[[[]],[],[],[],[],[]]
[6,5,4,7,1,2,3]=>[2,3,4,1,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>[[[]],[],[],[[[]]]]
[6,5,4,7,1,3,2]=>[2,3,4,1,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[[[]],[],[],[[],[]]]
[6,5,4,7,2,1,3]=>[2,3,4,1,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[]],[],[],[[]],[]]
[6,5,4,7,2,3,1]=>[2,3,4,1,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[]],[],[],[[]],[]]
[6,5,4,7,3,1,2]=>[2,3,4,1,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[[[]],[],[],[],[[]]]
[6,5,4,7,3,2,1]=>[2,3,4,1,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[[[]],[],[],[],[],[]]
[6,5,7,1,2,3,4]=>[2,3,1,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>[[[]],[],[[[[]]]]]
[6,5,7,1,2,4,3]=>[2,3,1,7,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>[[[]],[],[[[],[]]]]
[6,5,7,1,3,2,4]=>[2,3,1,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[]],[],[[[]],[]]]
[6,5,7,1,3,4,2]=>[2,3,1,7,5,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[]],[],[[[]],[]]]
[6,5,7,1,4,2,3]=>[2,3,1,7,4,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>[[[]],[],[[],[[]]]]
[6,5,7,1,4,3,2]=>[2,3,1,7,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[[[]],[],[[],[],[]]]
[6,5,7,2,1,3,4]=>[2,3,1,6,7,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,5,7,2,1,4,3]=>[2,3,1,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,5,7,2,3,1,4]=>[2,3,1,6,5,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,5,7,2,3,4,1]=>[2,3,1,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,5,7,2,4,1,3]=>[2,3,1,6,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,5,7,2,4,3,1]=>[2,3,1,6,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,5,7,3,1,2,4]=>[2,3,1,5,7,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,5,7,3,1,4,2]=>[2,3,1,5,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,5,7,3,2,1,4]=>[2,3,1,5,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,5,7,3,2,4,1]=>[2,3,1,5,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,5,7,3,4,1,2]=>[2,3,1,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,5,7,3,4,2,1]=>[2,3,1,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,5,7,4,1,2,3]=>[2,3,1,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>[[[]],[],[],[[[]]]]
[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[[[]],[],[],[[],[]]]
[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[]],[],[],[[]],[]]
[6,5,7,4,2,3,1]=>[2,3,1,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[]],[],[],[[]],[]]
[6,5,7,4,3,1,2]=>[2,3,1,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[[[]],[],[],[],[[]]]
[6,5,7,4,3,2,1]=>[2,3,1,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[[[]],[],[],[],[],[]]
[6,7,1,2,3,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>[[[]],[[[[[]]]]]]
[6,7,1,2,3,5,4]=>[2,1,7,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>[[[]],[[[[],[]]]]]
[6,7,1,2,4,3,5]=>[2,1,7,6,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]
[6,7,1,2,4,5,3]=>[2,1,7,6,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]
[6,7,1,2,5,3,4]=>[2,1,7,6,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>[[[]],[[[],[[]]]]]
[6,7,1,2,5,4,3]=>[2,1,7,6,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>[[[]],[[[],[],[]]]]
[6,7,1,3,2,4,5]=>[2,1,7,5,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,7,1,3,2,5,4]=>[2,1,7,5,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,7,1,3,4,2,5]=>[2,1,7,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,7,1,3,4,5,2]=>[2,1,7,5,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]
[6,7,1,3,5,2,4]=>[2,1,7,5,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,7,1,3,5,4,2]=>[2,1,7,5,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]
[6,7,1,4,2,3,5]=>[2,1,7,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,7,1,4,2,5,3]=>[2,1,7,4,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,7,1,4,3,2,5]=>[2,1,7,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,7,1,4,3,5,2]=>[2,1,7,4,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,7,1,4,5,2,3]=>[2,1,7,4,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]
[6,7,1,4,5,3,2]=>[2,1,7,4,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]
[6,7,1,5,2,3,4]=>[2,1,7,3,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>[[[]],[[],[[[]]]]]
[6,7,1,5,2,4,3]=>[2,1,7,3,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>[[[]],[[],[[],[]]]]
[6,7,1,5,3,2,4]=>[2,1,7,3,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]
[6,7,1,5,3,4,2]=>[2,1,7,3,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]
[6,7,1,5,4,2,3]=>[2,1,7,3,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>[[[]],[[],[],[[]]]]
[6,7,1,5,4,3,2]=>[2,1,7,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[[[]],[[],[],[],[]]]
[6,7,2,1,3,4,5]=>[2,1,6,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,7,2,1,3,5,4]=>[2,1,6,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,7,2,1,4,3,5]=>[2,1,6,7,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,7,2,1,4,5,3]=>[2,1,6,7,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,7,2,1,5,3,4]=>[2,1,6,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,7,2,1,5,4,3]=>[2,1,6,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,7,2,3,1,4,5]=>[2,1,6,5,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,7,2,3,1,5,4]=>[2,1,6,5,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,7,2,3,4,1,5]=>[2,1,6,5,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,7,2,3,4,5,1]=>[2,1,6,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]
[6,7,2,3,5,1,4]=>[2,1,6,5,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,7,2,3,5,4,1]=>[2,1,6,5,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]
[6,7,2,4,1,3,5]=>[2,1,6,4,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,7,2,4,1,5,3]=>[2,1,6,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,7,2,4,3,1,5]=>[2,1,6,4,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,7,2,4,3,5,1]=>[2,1,6,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,7,2,4,5,1,3]=>[2,1,6,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,7,2,4,5,3,1]=>[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]
[6,7,2,5,1,3,4]=>[2,1,6,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,7,2,5,1,4,3]=>[2,1,6,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,7,2,5,3,1,4]=>[2,1,6,3,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,7,2,5,3,4,1]=>[2,1,6,3,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]
[6,7,2,5,4,1,3]=>[2,1,6,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,7,2,5,4,3,1]=>[2,1,6,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]
[6,7,3,1,2,4,5]=>[2,1,5,7,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,7,3,1,2,5,4]=>[2,1,5,7,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,7,3,1,4,2,5]=>[2,1,5,7,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,7,3,1,4,5,2]=>[2,1,5,7,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,7,3,1,5,2,4]=>[2,1,5,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,7,3,1,5,4,2]=>[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,7,3,2,1,4,5]=>[2,1,5,6,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,7,3,2,1,5,4]=>[2,1,5,6,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,7,3,2,4,1,5]=>[2,1,5,6,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,7,3,2,4,5,1]=>[2,1,5,6,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,7,3,2,5,1,4]=>[2,1,5,6,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,7,3,2,5,4,1]=>[2,1,5,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,7,3,4,1,2,5]=>[2,1,5,4,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,7,3,4,1,5,2]=>[2,1,5,4,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,7,3,4,2,1,5]=>[2,1,5,4,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,7,3,4,2,5,1]=>[2,1,5,4,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]
[6,7,3,4,5,2,1]=>[2,1,5,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]
[6,7,3,5,1,2,4]=>[2,1,5,3,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,7,3,5,1,4,2]=>[2,1,5,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]
[6,7,3,5,2,1,4]=>[2,1,5,3,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
[6,7,3,5,2,4,1]=>[2,1,5,3,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]
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[6,7,4,1,2,5,3]=>[2,1,4,7,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
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[6,7,4,1,5,3,2]=>[2,1,4,7,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,7,4,2,1,3,5]=>[2,1,4,6,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,7,4,2,1,5,3]=>[2,1,4,6,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
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[6,7,4,5,1,2,3]=>[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[]],[[]],[[[]]]]
[6,7,4,5,1,3,2]=>[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]
[6,7,4,5,2,1,3]=>[2,1,4,3,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,7,4,5,2,3,1]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[]]
[6,7,4,5,3,1,2]=>[2,1,4,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[]],[[]],[],[[]]]
[6,7,4,5,3,2,1]=>[2,1,4,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]
[6,7,5,1,2,3,4]=>[2,1,3,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>[[[]],[],[[[[]]]]]
[6,7,5,1,2,4,3]=>[2,1,3,7,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>[[[]],[],[[[],[]]]]
[6,7,5,1,3,2,4]=>[2,1,3,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[]],[],[[[]],[]]]
[6,7,5,1,3,4,2]=>[2,1,3,7,5,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[]],[],[[[]],[]]]
[6,7,5,1,4,2,3]=>[2,1,3,7,4,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>[[[]],[],[[],[[]]]]
[6,7,5,1,4,3,2]=>[2,1,3,7,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[[[]],[],[[],[],[]]]
[6,7,5,2,1,3,4]=>[2,1,3,6,7,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,7,5,2,1,4,3]=>[2,1,3,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,7,5,2,3,1,4]=>[2,1,3,6,5,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,7,5,2,3,4,1]=>[2,1,3,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[]],[],[[[]]],[]]
[6,7,5,2,4,1,3]=>[2,1,3,6,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,7,5,2,4,3,1]=>[2,1,3,6,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[]],[]]
[6,7,5,3,1,2,4]=>[2,1,3,5,7,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,7,5,3,1,4,2]=>[2,1,3,5,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,7,5,3,2,1,4]=>[2,1,3,5,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,7,5,3,2,4,1]=>[2,1,3,5,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,7,5,3,4,1,2]=>[2,1,3,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[]],[],[[]],[[]]]
[6,7,5,3,4,2,1]=>[2,1,3,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[]],[],[[]],[],[]]
[6,7,5,4,1,2,3]=>[2,1,3,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>[[[]],[],[],[[[]]]]
[6,7,5,4,1,3,2]=>[2,1,3,4,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[[[]],[],[],[[],[]]]
[6,7,5,4,2,1,3]=>[2,1,3,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[]],[],[],[[]],[]]
[6,7,5,4,2,3,1]=>[2,1,3,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[]],[],[],[[]],[]]
[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[[[]],[],[],[],[[]]]
[6,7,5,4,3,2,1]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[[[]],[],[],[],[],[]]
[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]=>[[],[[[[[[]]]]]]]
[7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],.]]=>[[],[[[[[],[]]]]]]
[7,1,2,3,5,4,6]=>[1,7,6,5,3,4,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]=>[[],[[[[[]],[]]]]]
[7,1,2,3,5,6,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]=>[[],[[[[[]],[]]]]]
[7,1,2,3,6,4,5]=>[1,7,6,5,2,4,3]=>[.,[[[[.,[[.,.],.]],.],.],.]]=>[[],[[[[],[[]]]]]]
[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,[.,[.,.]]],.],.],.]]=>[[],[[[[],[],[]]]]]
[7,1,2,4,3,5,6]=>[1,7,6,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]=>[[],[[[[[]]],[]]]]
[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]=>[[],[[[[],[]],[]]]]
[7,1,2,4,5,3,6]=>[1,7,6,4,3,5,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]=>[[],[[[[[]]],[]]]]
[7,1,2,4,5,6,3]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]=>[[],[[[[[]]],[]]]]
[7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]=>[[],[[[[],[]],[]]]]
[7,1,2,4,6,5,3]=>[1,7,6,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],.]]=>[[],[[[[],[]],[]]]]
[7,1,2,5,3,4,6]=>[1,7,6,3,5,4,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]=>[[],[[[[]],[[]]]]]
[7,1,2,5,3,6,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]=>[[],[[[[]],[[]]]]]
[7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]=>[[],[[[[]],[],[]]]]
[7,1,2,5,4,6,3]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]=>[[],[[[[]],[],[]]]]
[7,1,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]=>[[],[[[[]],[[]]]]]
[7,1,2,5,6,4,3]=>[1,7,6,3,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]=>[[],[[[[]],[],[]]]]
[7,1,2,6,3,4,5]=>[1,7,6,2,5,4,3]=>[.,[[[.,[[[.,.],.],.]],.],.]]=>[[],[[[],[[[]]]]]]
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[7,1,2,6,4,3,5]=>[1,7,6,2,4,5,3]=>[.,[[[.,[[.,.],[.,.]]],.],.]]=>[[],[[[],[[]],[]]]]
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[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]=>[[],[[[[],[]]],[]]]
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[7,1,3,2,5,6,4]=>[1,7,5,6,3,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>[[],[[[[]],[]],[]]]
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[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[[],[[[],[],[]],[]]]
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[7,2,1,3,5,6,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[],[[[[]],[]]],[]]
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[7,2,1,4,3,5,6]=>[1,6,7,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[],[[[[]]],[]],[]]
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[7,2,6,1,3,5,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[],[[],[[],[]]],[]]
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[7,2,6,5,1,3,4]=>[1,6,2,3,7,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[],[[],[],[[]]],[]]
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[7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>[[],[[[[]]]],[[]]]
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[7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[]],[]],[[]]]
[7,3,1,2,5,6,4]=>[1,5,7,6,3,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[]],[]],[[]]]
[7,3,1,2,6,4,5]=>[1,5,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>[[],[[],[[]]],[[]]]
[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[[],[[],[],[]],[[]]]
[7,3,1,4,2,5,6]=>[1,5,7,4,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>[[],[[[[]]]],[[]]]
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[7,3,1,4,5,2,6]=>[1,5,7,4,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>[[],[[[[]]]],[[]]]
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[7,3,1,5,2,4,6]=>[1,5,7,3,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[]],[]],[[]]]
[7,3,1,5,2,6,4]=>[1,5,7,3,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[]],[]],[[]]]
[7,3,1,5,4,2,6]=>[1,5,7,3,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[]],[]],[[]]]
[7,3,1,5,4,6,2]=>[1,5,7,3,4,2,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[]],[]],[[]]]
[7,3,1,5,6,2,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[]],[]],[[]]]
[7,3,1,5,6,4,2]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[]],[]],[[]]]
[7,3,1,6,2,4,5]=>[1,5,7,2,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>[[],[[],[[]]],[[]]]
[7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[[],[[],[],[]],[[]]]
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[7,3,1,6,4,5,2]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>[[],[[],[[]]],[[]]]
[7,3,1,6,5,2,4]=>[1,5,7,2,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[[],[[],[],[]],[[]]]
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[7,3,2,1,5,4,6]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[],[[[]],[]],[],[]]
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[7,3,2,4,1,5,6]=>[1,5,6,4,7,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[],[[[[]]]],[],[]]
[7,3,2,4,1,6,5]=>[1,5,6,4,7,2,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[[],[[[],[]]],[],[]]
[7,3,2,4,5,1,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[],[[[[]]]],[],[]]
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[7,3,2,5,1,4,6]=>[1,5,6,3,7,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[],[[[]],[]],[],[]]
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[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[[],[[],[],[]],[],[]]
[7,3,2,6,4,1,5]=>[1,5,6,2,4,7,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[[],[[],[[]]],[],[]]
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[7,4,6,5,1,2,3]=>[1,4,2,3,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>[[],[[],[]],[[[]]]]
[7,4,6,5,1,3,2]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[],[[],[]],[[],[]]]
[7,4,6,5,2,1,3]=>[1,4,2,3,6,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[[],[[],[]],[[]],[]]
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[7,4,6,5,3,1,2]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[[],[[],[]],[],[[]]]
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[7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>[[],[[]],[[[[]]]]]
[7,5,1,2,3,6,4]=>[1,3,7,6,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>[[],[[]],[[[[]]]]]
[7,5,1,2,4,3,6]=>[1,3,7,6,4,5,2]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>[[],[[]],[[[],[]]]]
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[7,5,1,2,6,3,4]=>[1,3,7,6,2,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>[[],[[]],[[[[]]]]]
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[7,5,1,3,2,4,6]=>[1,3,7,5,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>[[],[[]],[[[]],[]]]
[7,5,1,3,2,6,4]=>[1,3,7,5,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>[[],[[]],[[[]],[]]]
[7,5,1,3,4,2,6]=>[1,3,7,5,4,6,2]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>[[],[[]],[[[]],[]]]
[7,5,1,3,4,6,2]=>[1,3,7,5,4,2,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>[[],[[]],[[[]],[]]]
[7,5,1,3,6,2,4]=>[1,3,7,5,2,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>[[],[[]],[[[]],[]]]
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[7,5,1,4,2,3,6]=>[1,3,7,4,6,5,2]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>[[],[[]],[[],[[]]]]
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[7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[[],[[]],[[],[],[]]]
[7,5,1,4,3,6,2]=>[1,3,7,4,5,2,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[[],[[]],[[],[],[]]]
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[7,5,1,6,2,3,4]=>[1,3,7,2,6,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>[[],[[]],[[[[]]]]]
[7,5,1,6,2,4,3]=>[1,3,7,2,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>[[],[[]],[[[],[]]]]
[7,5,1,6,3,2,4]=>[1,3,7,2,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>[[],[[]],[[[]],[]]]
[7,5,1,6,3,4,2]=>[1,3,7,2,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>[[],[[]],[[[]],[]]]
[7,5,1,6,4,2,3]=>[1,3,7,2,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>[[],[[]],[[],[[]]]]
[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[[],[[]],[[],[],[]]]
[7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[],[[]],[[[]]],[]]
[7,5,2,1,3,6,4]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[],[[]],[[[]]],[]]
[7,5,2,1,4,3,6]=>[1,3,6,7,4,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[[],[[]],[[],[]],[]]
[7,5,2,1,4,6,3]=>[1,3,6,7,4,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[[],[[]],[[],[]],[]]
[7,5,2,1,6,3,4]=>[1,3,6,7,2,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[],[[]],[[[]]],[]]
[7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[[],[[]],[[],[]],[]]
[7,5,2,3,1,4,6]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[],[[]],[[[]]],[]]
[7,5,2,3,1,6,4]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[],[[]],[[[]]],[]]
[7,5,2,3,4,1,6]=>[1,3,6,5,4,7,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[],[[]],[[[]]],[]]
[7,5,2,3,4,6,1]=>[1,3,6,5,4,2,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[],[[]],[[[]]],[]]
[7,5,2,3,6,1,4]=>[1,3,6,5,2,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[],[[]],[[[]]],[]]
[7,5,2,3,6,4,1]=>[1,3,6,5,2,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[],[[]],[[[]]],[]]
[7,5,2,4,1,3,6]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[[],[[]],[[],[]],[]]
[7,5,2,4,1,6,3]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[[],[[]],[[],[]],[]]
[7,5,2,4,3,1,6]=>[1,3,6,4,5,7,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[[],[[]],[[],[]],[]]
[7,5,2,4,3,6,1]=>[1,3,6,4,5,2,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[[],[[]],[[],[]],[]]
[7,5,2,4,6,1,3]=>[1,3,6,4,2,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[[],[[]],[[],[]],[]]
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[7,5,2,6,1,3,4]=>[1,3,6,2,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[],[[]],[[[]]],[]]
[7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[[],[[]],[[],[]],[]]
[7,5,2,6,3,1,4]=>[1,3,6,2,5,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[],[[]],[[[]]],[]]
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[7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[[],[[]],[[],[]],[]]
[7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[[],[[]],[[],[]],[]]
[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[]],[[]],[[]]]
[7,5,3,1,2,6,4]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[]],[[]],[[]]]
[7,5,3,1,4,2,6]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[]],[[]],[[]]]
[7,5,3,1,4,6,2]=>[1,3,5,7,4,2,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[]],[[]],[[]]]
[7,5,3,1,6,2,4]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[]],[[]],[[]]]
[7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[]],[[]],[[]]]
[7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[]],[[]],[],[]]
[7,5,3,2,1,6,4]=>[1,3,5,6,7,2,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[]],[[]],[],[]]
[7,5,3,2,4,1,6]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[]],[[]],[],[]]
[7,5,3,2,4,6,1]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[]],[[]],[],[]]
[7,5,3,2,6,1,4]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[]],[[]],[],[]]
[7,5,3,2,6,4,1]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[]],[[]],[],[]]
[7,5,3,4,1,2,6]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[]],[[]],[[]]]
[7,5,3,4,1,6,2]=>[1,3,5,4,7,2,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[]],[[]],[[]]]
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[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[]],[[]],[],[]]
[7,5,3,4,6,1,2]=>[1,3,5,4,2,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[]],[[]],[[]]]
[7,5,3,4,6,2,1]=>[1,3,5,4,2,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[]],[[]],[],[]]
[7,5,3,6,1,2,4]=>[1,3,5,2,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[]],[[]],[[]]]
[7,5,3,6,1,4,2]=>[1,3,5,2,7,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[]],[[]],[[]]]
[7,5,3,6,2,1,4]=>[1,3,5,2,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[]],[[]],[],[]]
[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[]],[[]],[],[]]
[7,5,3,6,4,1,2]=>[1,3,5,2,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[]],[[]],[[]]]
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[7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[[],[[]],[],[[]],[]]
[7,5,4,2,1,6,3]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[[],[[]],[],[[]],[]]
[7,5,4,2,3,1,6]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[[],[[]],[],[[]],[]]
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[7,5,4,2,6,1,3]=>[1,3,4,6,2,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[[],[[]],[],[[]],[]]
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[7,5,6,2,1,4,3]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[[],[[]],[[],[]],[]]
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[7,5,6,3,1,4,2]=>[1,3,2,5,7,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[]],[[]],[[]]]
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[7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[[],[],[[[],[],[]]]]
[7,6,1,3,2,4,5]=>[1,2,7,5,6,4,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>[[],[],[[[[]]],[]]]
[7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[[],[],[[[],[]],[]]]
[7,6,1,3,4,2,5]=>[1,2,7,5,4,6,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>[[],[],[[[[]]],[]]]
[7,6,1,3,4,5,2]=>[1,2,7,5,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>[[],[],[[[[]]],[]]]
[7,6,1,3,5,2,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[[],[],[[[],[]],[]]]
[7,6,1,3,5,4,2]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[[],[],[[[],[]],[]]]
[7,6,1,4,2,3,5]=>[1,2,7,4,6,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>[[],[],[[[]],[[]]]]
[7,6,1,4,2,5,3]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>[[],[],[[[]],[[]]]]
[7,6,1,4,3,2,5]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[[],[],[[[]],[],[]]]
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[7,6,1,5,2,4,3]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[[],[],[[],[[],[]]]]
[7,6,1,5,3,2,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[[],[],[[],[[]],[]]]
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[7,6,1,5,4,2,3]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[[],[],[[],[],[[]]]]
[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[[],[],[[],[],[],[]]]
[7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>[[],[],[[[[]]]],[]]
[7,6,2,1,3,5,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[[],[],[[[],[]]],[]]
[7,6,2,1,4,3,5]=>[1,2,6,7,4,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[[],[],[[[]],[]],[]]
[7,6,2,1,4,5,3]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[[],[],[[[]],[]],[]]
[7,6,2,1,5,3,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[[],[],[[],[[]]],[]]
[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[[],[],[[],[],[]],[]]
[7,6,2,3,1,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>[[],[],[[[[]]]],[]]
[7,6,2,3,1,5,4]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[[],[],[[[],[]]],[]]
[7,6,2,3,4,1,5]=>[1,2,6,5,4,7,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>[[],[],[[[[]]]],[]]
[7,6,2,3,4,5,1]=>[1,2,6,5,4,3,7]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>[[],[],[[[[]]]],[]]
[7,6,2,3,5,1,4]=>[1,2,6,5,3,7,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[[],[],[[[],[]]],[]]
[7,6,2,3,5,4,1]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[[],[],[[[],[]]],[]]
[7,6,2,4,1,3,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[[],[],[[[]],[]],[]]
[7,6,2,4,1,5,3]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[[],[],[[[]],[]],[]]
[7,6,2,4,3,1,5]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[[],[],[[[]],[]],[]]
[7,6,2,4,3,5,1]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[[],[],[[[]],[]],[]]
[7,6,2,4,5,1,3]=>[1,2,6,4,3,7,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[[],[],[[[]],[]],[]]
[7,6,2,4,5,3,1]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[[],[],[[[]],[]],[]]
[7,6,2,5,1,3,4]=>[1,2,6,3,7,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[[],[],[[],[[]]],[]]
[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[[],[],[[],[],[]],[]]
[7,6,2,5,3,1,4]=>[1,2,6,3,5,7,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[[],[],[[],[[]]],[]]
[7,6,2,5,3,4,1]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[[],[],[[],[[]]],[]]
[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[[],[],[[],[],[]],[]]
[7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[[],[],[[],[],[]],[]]
[7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>[[],[],[[[]]],[[]]]
[7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[[],[],[[],[]],[[]]]
[7,6,3,1,4,2,5]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>[[],[],[[[]]],[[]]]
[7,6,3,1,4,5,2]=>[1,2,5,7,4,3,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>[[],[],[[[]]],[[]]]
[7,6,3,1,5,2,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[[],[],[[],[]],[[]]]
[7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[[],[],[[],[]],[[]]]
[7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[[],[],[[[]]],[],[]]
[7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[[],[],[[],[]],[],[]]
[7,6,3,2,4,1,5]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[[],[],[[[]]],[],[]]
[7,6,3,2,4,5,1]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[[],[],[[[]]],[],[]]
[7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[[],[],[[],[]],[],[]]
[7,6,3,2,5,4,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[[],[],[[],[]],[],[]]
[7,6,3,4,1,2,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>[[],[],[[[]]],[[]]]
[7,6,3,4,1,5,2]=>[1,2,5,4,7,3,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>[[],[],[[[]]],[[]]]
[7,6,3,4,2,1,5]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[[],[],[[[]]],[],[]]
[7,6,3,4,2,5,1]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[[],[],[[[]]],[],[]]
[7,6,3,4,5,1,2]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>[[],[],[[[]]],[[]]]
[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[[],[],[[[]]],[],[]]
[7,6,3,5,1,2,4]=>[1,2,5,3,7,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[[],[],[[],[]],[[]]]
[7,6,3,5,1,4,2]=>[1,2,5,3,7,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[[],[],[[],[]],[[]]]
[7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[[],[],[[],[]],[],[]]
[7,6,3,5,2,4,1]=>[1,2,5,3,6,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[[],[],[[],[]],[],[]]
[7,6,3,5,4,1,2]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[[],[],[[],[]],[[]]]
[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[[],[],[[],[]],[],[]]
[7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>[[],[],[[]],[[[]]]]
[7,6,4,1,2,5,3]=>[1,2,4,7,6,3,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>[[],[],[[]],[[[]]]]
[7,6,4,1,3,2,5]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[[],[],[[]],[[],[]]]
[7,6,4,1,3,5,2]=>[1,2,4,7,5,3,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[[],[],[[]],[[],[]]]
[7,6,4,1,5,2,3]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>[[],[],[[]],[[[]]]]
[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[[],[],[[]],[[],[]]]
[7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[[],[],[[]],[[]],[]]
[7,6,4,2,1,5,3]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[[],[],[[]],[[]],[]]
[7,6,4,2,3,1,5]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[[],[],[[]],[[]],[]]
[7,6,4,2,3,5,1]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[[],[],[[]],[[]],[]]
[7,6,4,2,5,1,3]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[[],[],[[]],[[]],[]]
[7,6,4,2,5,3,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[[],[],[[]],[[]],[]]
[7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[[],[],[[]],[],[[]]]
[7,6,4,3,1,5,2]=>[1,2,4,5,7,3,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[[],[],[[]],[],[[]]]
[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[[],[],[[]],[],[],[]]
[7,6,4,3,2,5,1]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[[],[],[[]],[],[],[]]
[7,6,4,3,5,1,2]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[[],[],[[]],[],[[]]]
[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[[],[],[[]],[],[],[]]
[7,6,4,5,1,2,3]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>[[],[],[[]],[[[]]]]
[7,6,4,5,1,3,2]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[[],[],[[]],[[],[]]]
[7,6,4,5,2,1,3]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[[],[],[[]],[[]],[]]
[7,6,4,5,2,3,1]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[[],[],[[]],[[]],[]]
[7,6,4,5,3,1,2]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[[],[],[[]],[],[[]]]
[7,6,4,5,3,2,1]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[[],[],[[]],[],[],[]]
[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]]=>[[],[],[],[[[[]]]]]
[7,6,5,1,2,4,3]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[[],[],[],[[[],[]]]]
[7,6,5,1,3,2,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[[],[],[],[[[]],[]]]
[7,6,5,1,3,4,2]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[[],[],[],[[[]],[]]]
[7,6,5,1,4,2,3]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[[],[],[],[[],[[]]]]
[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[[],[],[],[[],[],[]]]
[7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[[],[],[],[[[]]],[]]
[7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[[],[],[],[[],[]],[]]
[7,6,5,2,3,1,4]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[[],[],[],[[[]]],[]]
[7,6,5,2,3,4,1]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[[],[],[],[[[]]],[]]
[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[[],[],[],[[],[]],[]]
[7,6,5,2,4,3,1]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[[],[],[],[[],[]],[]]
[7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[[],[],[],[[]],[[]]]
[7,6,5,3,1,4,2]=>[1,2,3,5,7,4,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[[],[],[],[[]],[[]]]
[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[[],[],[],[[]],[],[]]
[7,6,5,3,2,4,1]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[[],[],[],[[]],[],[]]
[7,6,5,3,4,1,2]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[[],[],[],[[]],[[]]]
[7,6,5,3,4,2,1]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[[],[],[],[[]],[],[]]
[7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[[],[],[],[],[[[]]]]
[7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[[],[],[],[],[[],[]]]
[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[[],[],[],[],[[]],[]]
[7,6,5,4,2,3,1]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[[],[],[],[],[[]],[]]
[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[[],[],[],[],[],[[]]]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[],[],[],[],[],[],[]]
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[],[],[],[],[],[],[],[]]
[7,8,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[[]],[],[],[],[],[],[]]
[8,6,7,5,4,3,2,1]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[],[[]],[],[],[],[],[]]
[7,6,8,5,4,3,2,1]=>[2,3,1,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[[]],[],[],[],[],[],[]]
[6,7,8,5,4,3,2,1]=>[3,2,1,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[8,7,5,6,4,3,2,1]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[],[],[[]],[],[],[],[]]
[7,8,5,6,4,3,2,1]=>[2,1,4,3,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[]],[[]],[],[],[],[]]
[8,6,5,7,4,3,2,1]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[],[[]],[],[],[],[],[]]
[8,5,6,7,4,3,2,1]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[[],[[[]]],[],[],[],[]]
[7,6,5,8,4,3,2,1]=>[2,3,4,1,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[[]],[],[],[],[],[],[]]
[6,7,5,8,4,3,2,1]=>[3,2,4,1,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[7,5,6,8,4,3,2,1]=>[2,4,3,1,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[]],[[]],[],[],[],[]]
[6,5,7,8,4,3,2,1]=>[3,4,2,1,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[5,6,7,8,4,3,2,1]=>[4,3,2,1,5,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[],[],[],[[]],[],[],[]]
[7,8,6,4,5,3,2,1]=>[2,1,3,5,4,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[[]],[],[[]],[],[],[]]
[8,6,7,4,5,3,2,1]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[],[[]],[[]],[],[],[]]
[7,6,8,4,5,3,2,1]=>[2,3,1,5,4,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[[]],[],[[]],[],[],[]]
[6,7,8,4,5,3,2,1]=>[3,2,1,5,4,6,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[8,7,5,4,6,3,2,1]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[],[],[[]],[],[],[],[]]
[7,8,5,4,6,3,2,1]=>[2,1,4,5,3,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[]],[[]],[],[],[],[]]
[8,7,4,5,6,3,2,1]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[[],[],[[[]]],[],[],[]]
[7,8,4,5,6,3,2,1]=>[2,1,5,4,3,6,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[8,6,5,4,7,3,2,1]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[],[[]],[],[],[],[],[]]
[8,5,6,4,7,3,2,1]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[[],[[[]]],[],[],[],[]]
[8,5,4,6,7,3,2,1]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[[],[[[]]],[],[],[],[]]
[8,4,5,6,7,3,2,1]=>[1,5,4,3,2,6,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[[],[[[[]]]],[],[],[]]
[7,6,5,4,8,3,2,1]=>[2,3,4,5,1,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[[]],[],[],[],[],[],[]]
[6,7,5,4,8,3,2,1]=>[3,2,4,5,1,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[7,5,6,4,8,3,2,1]=>[2,4,3,5,1,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[]],[[]],[],[],[],[]]
[6,5,7,4,8,3,2,1]=>[3,4,2,5,1,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[5,6,7,4,8,3,2,1]=>[4,3,2,5,1,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[7,6,4,5,8,3,2,1]=>[2,3,5,4,1,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[[]],[],[[]],[],[],[]]
[6,7,4,5,8,3,2,1]=>[3,2,5,4,1,6,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[7,5,4,6,8,3,2,1]=>[2,4,5,3,1,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[]],[[]],[],[],[],[]]
[7,4,5,6,8,3,2,1]=>[2,5,4,3,1,6,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[6,5,4,7,8,3,2,1]=>[3,4,5,2,1,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[5,6,4,7,8,3,2,1]=>[4,3,5,2,1,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[6,4,5,7,8,3,2,1]=>[3,5,4,2,1,6,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[5,4,6,7,8,3,2,1]=>[4,5,3,2,1,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[4,5,6,7,8,3,2,1]=>[5,4,3,2,1,6,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[8,7,6,5,3,4,2,1]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[[],[],[],[],[[]],[],[]]
[7,8,6,5,3,4,2,1]=>[2,1,3,4,6,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[[]],[],[],[[]],[],[]]
[8,6,7,5,3,4,2,1]=>[1,3,2,4,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[],[[]],[],[[]],[],[]]
[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[],[],[[]],[[]],[],[]]
[7,8,5,6,3,4,2,1]=>[2,1,4,3,6,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[7,6,5,8,3,4,2,1]=>[2,3,4,1,6,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[[]],[],[],[[]],[],[]]
[6,7,5,8,3,4,2,1]=>[3,2,4,1,6,5,7,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[7,5,6,8,3,4,2,1]=>[2,4,3,1,6,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[5,6,7,8,3,4,2,1]=>[4,3,2,1,6,5,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[8,7,6,4,3,5,2,1]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[],[],[],[[]],[],[],[]]
[8,6,7,4,3,5,2,1]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[],[[]],[[]],[],[],[]]
[7,6,8,4,3,5,2,1]=>[2,3,1,5,6,4,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[[]],[],[[]],[],[],[]]
[6,7,8,4,3,5,2,1]=>[3,2,1,5,6,4,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[8,7,6,3,4,5,2,1]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[[],[],[],[[[]]],[],[]]
[8,6,7,3,4,5,2,1]=>[1,3,2,6,5,4,7,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[[],[[]],[[[]]],[],[]]
[7,6,8,3,4,5,2,1]=>[2,3,1,6,5,4,7,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[[[]],[],[[[]]],[],[]]
[6,7,8,3,4,5,2,1]=>[3,2,1,6,5,4,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]
[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[],[],[[]],[],[],[],[]]
[8,7,5,3,4,6,2,1]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[],[],[[]],[[]],[],[]]
[7,8,5,3,4,6,2,1]=>[2,1,4,6,5,3,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[[],[],[[[]]],[],[],[]]
[7,8,4,3,5,6,2,1]=>[2,1,5,6,4,3,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[[],[],[[[[]]]],[],[]]
[8,6,5,4,3,7,2,1]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[],[[]],[],[],[],[],[]]
[8,5,6,4,3,7,2,1]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[[],[[[]]],[],[],[],[]]
[8,5,4,6,3,7,2,1]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[[],[[[]]],[],[],[],[]]
[8,4,5,6,3,7,2,1]=>[1,5,4,3,6,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[[],[[[[]]]],[],[],[]]
[8,5,6,3,4,7,2,1]=>[1,4,3,6,5,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[],[[[]]],[[]],[],[]]
[8,6,4,3,5,7,2,1]=>[1,3,5,6,4,2,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[],[[]],[[]],[],[],[]]
[8,5,4,3,6,7,2,1]=>[1,4,5,6,3,2,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[[],[[[]]],[],[],[],[]]
[8,4,5,3,6,7,2,1]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[[],[[[[]]]],[],[],[]]
[8,5,3,4,6,7,2,1]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[],[[[]]],[[]],[],[]]
[8,4,3,5,6,7,2,1]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[[],[[[[]]]],[],[],[]]
[8,3,4,5,6,7,2,1]=>[1,6,5,4,3,2,7,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[[],[[[[[]]]]],[],[]]
[7,6,5,4,3,8,2,1]=>[2,3,4,5,6,1,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[[]],[],[],[],[],[],[]]
[6,7,5,4,3,8,2,1]=>[3,2,4,5,6,1,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[6,5,7,4,3,8,2,1]=>[3,4,2,5,6,1,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[5,6,7,4,3,8,2,1]=>[4,3,2,5,6,1,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[7,6,4,5,3,8,2,1]=>[2,3,5,4,6,1,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[[]],[],[[]],[],[],[]]
[6,5,4,7,3,8,2,1]=>[3,4,5,2,6,1,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[5,6,4,7,3,8,2,1]=>[4,3,5,2,6,1,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[6,4,5,7,3,8,2,1]=>[3,5,4,2,6,1,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[5,4,6,7,3,8,2,1]=>[4,5,3,2,6,1,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[4,5,6,7,3,8,2,1]=>[5,4,3,2,6,1,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[7,6,5,3,4,8,2,1]=>[2,3,4,6,5,1,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[[]],[],[],[[]],[],[]]
[7,5,6,3,4,8,2,1]=>[2,4,3,6,5,1,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[5,6,7,3,4,8,2,1]=>[4,3,2,6,5,1,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[7,6,4,3,5,8,2,1]=>[2,3,5,6,4,1,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[[]],[],[[]],[],[],[]]
[7,6,3,4,5,8,2,1]=>[2,3,6,5,4,1,7,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[[[]],[],[[[]]],[],[]]
[7,5,4,3,6,8,2,1]=>[2,4,5,6,3,1,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[]],[[]],[],[],[],[]]
[7,5,3,4,6,8,2,1]=>[2,4,6,5,3,1,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[6,5,4,3,7,8,2,1]=>[3,4,5,6,2,1,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[4,5,6,3,7,8,2,1]=>[5,4,3,6,2,1,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[5,6,3,4,7,8,2,1]=>[4,3,6,5,2,1,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[6,3,4,5,7,8,2,1]=>[3,6,5,4,2,1,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]
[5,4,3,6,7,8,2,1]=>[4,5,6,3,2,1,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[4,5,3,6,7,8,2,1]=>[5,4,6,3,2,1,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[4,3,5,6,7,8,2,1]=>[5,6,4,3,2,1,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[3,4,5,6,7,8,2,1]=>[6,5,4,3,2,1,7,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[],[],[],[],[],[[]],[]]
[7,8,6,5,4,2,3,1]=>[2,1,3,4,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[[[]],[],[],[],[[]],[]]
[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[],[[]],[],[],[[]],[]]
[7,6,8,5,4,2,3,1]=>[2,3,1,4,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[[[]],[],[],[],[[]],[]]
[6,7,8,5,4,2,3,1]=>[3,2,1,4,5,7,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[[[]]],[],[],[[]],[]]
[8,7,5,6,4,2,3,1]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[[],[],[[]],[],[[]],[]]
[8,6,5,7,4,2,3,1]=>[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[],[[]],[],[],[[]],[]]
[8,5,6,7,4,2,3,1]=>[1,4,3,2,5,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[[],[[[]]],[],[[]],[]]
[7,6,5,8,4,2,3,1]=>[2,3,4,1,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[[[]],[],[],[],[[]],[]]
[6,7,5,8,4,2,3,1]=>[3,2,4,1,5,7,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[[[]]],[],[],[[]],[]]
[5,6,7,8,4,2,3,1]=>[4,3,2,1,5,7,6,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[8,7,6,4,5,2,3,1]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[],[],[],[[]],[[]],[]]
[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[],[[]],[[]],[[]],[]]
[7,6,8,4,5,2,3,1]=>[2,3,1,5,4,7,6,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[[[]],[],[[]],[[]],[]]
[6,7,8,4,5,2,3,1]=>[3,2,1,5,4,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[8,7,5,4,6,2,3,1]=>[1,2,4,5,3,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[[],[],[[]],[],[[]],[]]
[7,8,4,5,6,2,3,1]=>[2,1,5,4,3,7,6,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[8,6,5,4,7,2,3,1]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[],[[]],[],[],[[]],[]]
[8,5,6,4,7,2,3,1]=>[1,4,3,5,2,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[[],[[[]]],[],[[]],[]]
[8,6,4,5,7,2,3,1]=>[1,3,5,4,2,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[],[[]],[[]],[[]],[]]
[8,5,4,6,7,2,3,1]=>[1,4,5,3,2,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[[],[[[]]],[],[[]],[]]
[8,4,5,6,7,2,3,1]=>[1,5,4,3,2,7,6,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[[],[[[[]]]],[[]],[]]
[7,6,5,4,8,2,3,1]=>[2,3,4,5,1,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[[[]],[],[],[],[[]],[]]
[7,5,6,4,8,2,3,1]=>[2,4,3,5,1,7,6,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[]],[[]],[],[[]],[]]
[6,5,7,4,8,2,3,1]=>[3,4,2,5,1,7,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[[[]]],[],[],[[]],[]]
[7,6,4,5,8,2,3,1]=>[2,3,5,4,1,7,6,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[[[]],[],[[]],[[]],[]]
[6,7,4,5,8,2,3,1]=>[3,2,5,4,1,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[7,5,4,6,8,2,3,1]=>[2,4,5,3,1,7,6,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[]],[[]],[],[[]],[]]
[7,4,5,6,8,2,3,1]=>[2,5,4,3,1,7,6,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
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[6,4,5,7,8,2,3,1]=>[3,5,4,2,1,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
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[6,7,5,4,3,2,8,1]=>[3,2,4,5,6,7,1,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
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[6,5,7,4,3,2,8,1]=>[3,4,2,5,6,7,1,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[5,6,7,4,3,2,8,1]=>[4,3,2,5,6,7,1,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
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[6,5,4,7,3,2,8,1]=>[3,4,5,2,6,7,1,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[6,4,5,7,3,2,8,1]=>[3,5,4,2,6,7,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[4,5,6,7,3,2,8,1]=>[5,4,3,2,6,7,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
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[7,4,5,3,6,2,8,1]=>[2,5,4,6,3,7,1,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
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[5,6,4,3,7,2,8,1]=>[4,3,5,6,2,7,1,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
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[5,4,6,3,7,2,8,1]=>[4,5,3,6,2,7,1,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
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[6,4,3,5,7,2,8,1]=>[3,5,6,4,2,7,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
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[3,4,5,6,7,2,8,1]=>[6,5,4,3,2,7,1,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
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[5,6,7,4,2,3,8,1]=>[4,3,2,5,7,6,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
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[5,6,4,7,2,3,8,1]=>[4,3,5,2,7,6,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
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[5,4,6,7,2,3,8,1]=>[4,5,3,2,7,6,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
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[5,6,7,3,2,4,8,1]=>[4,3,2,6,7,5,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
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[7,3,2,4,5,6,8,1]=>[2,6,7,5,4,3,1,8]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[[[]],[[[[]]]],[],[]]
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[4,5,6,3,2,7,8,1]=>[5,4,3,6,7,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[5,6,3,4,2,7,8,1]=>[4,3,6,5,7,2,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[6,4,3,5,2,7,8,1]=>[3,5,6,4,7,2,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[6,3,4,5,2,7,8,1]=>[3,6,5,4,7,2,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]
[4,5,3,6,2,7,8,1]=>[5,4,6,3,7,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[4,3,5,6,2,7,8,1]=>[5,6,4,3,7,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[3,4,5,6,2,7,8,1]=>[6,5,4,3,7,2,1,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[6,4,5,2,3,7,8,1]=>[3,5,4,7,6,2,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[4,5,6,2,3,7,8,1]=>[5,4,3,7,6,2,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[6,5,2,3,4,7,8,1]=>[3,4,7,6,5,2,1,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[]]],[],[[[]]],[]]
[5,6,2,3,4,7,8,1]=>[4,3,7,6,5,2,1,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[6,4,3,2,5,7,8,1]=>[3,5,6,7,4,2,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[6,4,2,3,5,7,8,1]=>[3,5,7,6,4,2,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[5,4,3,2,6,7,8,1]=>[4,5,6,7,3,2,1,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[4,5,3,2,6,7,8,1]=>[5,4,6,7,3,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[5,3,4,2,6,7,8,1]=>[4,6,5,7,3,2,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[4,3,5,2,6,7,8,1]=>[5,6,4,7,3,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[3,4,5,2,6,7,8,1]=>[6,5,4,7,3,2,1,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[5,4,2,3,6,7,8,1]=>[4,5,7,6,3,2,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[4,5,2,3,6,7,8,1]=>[5,4,7,6,3,2,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[5,3,2,4,6,7,8,1]=>[4,6,7,5,3,2,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[5,2,3,4,6,7,8,1]=>[4,7,6,5,3,2,1,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[4,3,2,5,6,7,8,1]=>[5,6,7,4,3,2,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[3,4,2,5,6,7,8,1]=>[6,5,7,4,3,2,1,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[4,2,3,5,6,7,8,1]=>[5,7,6,4,3,2,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[3,2,4,5,6,7,8,1]=>[6,7,5,4,3,2,1,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[2,3,4,5,6,7,8,1]=>[7,6,5,4,3,2,1,8]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[[[[[[[[]]]]]]],[]]
[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[[],[],[],[],[],[],[[]]]
[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[[[]],[],[],[],[],[[]]]
[8,6,7,5,4,3,1,2]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[[],[[]],[],[],[],[[]]]
[7,6,8,5,4,3,1,2]=>[2,3,1,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[[[]],[],[],[],[],[[]]]
[6,7,8,5,4,3,1,2]=>[3,2,1,4,5,6,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[[[[]]],[],[],[],[[]]]
[8,7,5,6,4,3,1,2]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[[],[],[[]],[],[],[[]]]
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[8,6,5,7,4,3,1,2]=>[1,3,4,2,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[[],[[]],[],[],[],[[]]]
[8,5,6,7,4,3,1,2]=>[1,4,3,2,5,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>[[],[[[]]],[],[],[[]]]
[7,6,5,8,4,3,1,2]=>[2,3,4,1,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[[[]],[],[],[],[],[[]]]
[6,7,5,8,4,3,1,2]=>[3,2,4,1,5,6,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[[[[]]],[],[],[],[[]]]
[5,6,7,8,4,3,1,2]=>[4,3,2,1,5,6,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[[[[]]]],[],[],[[]]]
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[8,3,4,5,6,7,1,2]=>[1,6,5,4,3,2,8,7]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[[],[[[[[]]]]],[[]]]
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[6,7,4,5,3,8,1,2]=>[3,2,5,4,6,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[7,5,4,6,3,8,1,2]=>[2,4,5,3,6,1,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[[]],[[]],[],[],[[]]]
[7,4,5,6,3,8,1,2]=>[2,5,4,3,6,1,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[[[]],[[[]]],[],[[]]]
[6,5,4,7,3,8,1,2]=>[3,4,5,2,6,1,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[[[[]]],[],[],[],[[]]]
[5,6,4,7,3,8,1,2]=>[4,3,5,2,6,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[[[[]]]],[],[],[[]]]
[6,4,5,7,3,8,1,2]=>[3,5,4,2,6,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[5,4,6,7,3,8,1,2]=>[4,5,3,2,6,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[[[[]]]],[],[],[[]]]
[4,5,6,7,3,8,1,2]=>[5,4,3,2,6,1,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[[[[[[]]]]],[],[[]]]
[7,5,6,3,4,8,1,2]=>[2,4,3,6,5,1,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[[]],[[]],[[]],[[]]]
[6,5,7,3,4,8,1,2]=>[3,4,2,6,5,1,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[[[[]]],[],[[]],[[]]]
[5,6,7,3,4,8,1,2]=>[4,3,2,6,5,1,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[7,6,4,3,5,8,1,2]=>[2,3,5,6,4,1,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[[[]],[],[[]],[],[[]]]
[6,7,4,3,5,8,1,2]=>[3,2,5,6,4,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[7,6,3,4,5,8,1,2]=>[2,3,6,5,4,1,8,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[[[]],[],[[[]]],[[]]]
[6,7,3,4,5,8,1,2]=>[3,2,6,5,4,1,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[7,5,3,4,6,8,1,2]=>[2,4,6,5,3,1,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[[]],[[]],[[]],[[]]]
[7,3,4,5,6,8,1,2]=>[2,6,5,4,3,1,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[[[]],[[[[]]]],[[]]]
[6,5,4,3,7,8,1,2]=>[3,4,5,6,2,1,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[[[[]]],[],[],[],[[]]]
[5,6,4,3,7,8,1,2]=>[4,3,5,6,2,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[[[[]]]],[],[],[[]]]
[5,4,6,3,7,8,1,2]=>[4,5,3,6,2,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[[[[]]]],[],[],[[]]]
[4,5,6,3,7,8,1,2]=>[5,4,3,6,2,1,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[[[[[[]]]]],[],[[]]]
[6,5,3,4,7,8,1,2]=>[3,4,6,5,2,1,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[[[[]]],[],[[]],[[]]]
[5,6,3,4,7,8,1,2]=>[4,3,6,5,2,1,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[6,4,3,5,7,8,1,2]=>[3,5,6,4,2,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[6,3,4,5,7,8,1,2]=>[3,6,5,4,2,1,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[5,4,3,6,7,8,1,2]=>[4,5,6,3,2,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[[[[]]]],[],[],[[]]]
[4,5,3,6,7,8,1,2]=>[5,4,6,3,2,1,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[[[[[[]]]]],[],[[]]]
[5,3,4,6,7,8,1,2]=>[4,6,5,3,2,1,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[4,3,5,6,7,8,1,2]=>[5,6,4,3,2,1,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[[[[[[]]]]],[],[[]]]
[3,4,5,6,7,8,1,2]=>[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[[[[[[[]]]]]],[[]]]
[8,7,6,5,4,2,1,3]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[],[],[],[],[],[[]],[]]
[7,8,6,5,4,2,1,3]=>[2,1,3,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[[[]],[],[],[],[[]],[]]
[8,6,7,5,4,2,1,3]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[],[[]],[],[],[[]],[]]
[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[[[]],[],[],[],[[]],[]]
[6,7,8,5,4,2,1,3]=>[3,2,1,4,5,7,8,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[[[]]],[],[],[[]],[]]
[8,7,5,6,4,2,1,3]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[[],[],[[]],[],[[]],[]]
[7,8,5,6,4,2,1,3]=>[2,1,4,3,5,7,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[]],[[]],[],[[]],[]]
[8,6,5,7,4,2,1,3]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[],[[]],[],[],[[]],[]]
[8,5,6,7,4,2,1,3]=>[1,4,3,2,5,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[[],[[[]]],[],[[]],[]]
[7,6,5,8,4,2,1,3]=>[2,3,4,1,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[[[]],[],[],[],[[]],[]]
[6,7,5,8,4,2,1,3]=>[3,2,4,1,5,7,8,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[[[]]],[],[],[[]],[]]
[5,6,7,8,4,2,1,3]=>[4,3,2,1,5,7,8,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[8,7,6,4,5,2,1,3]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[],[],[],[[]],[[]],[]]
[7,8,6,4,5,2,1,3]=>[2,1,3,5,4,7,8,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[[[]],[],[[]],[[]],[]]
[8,6,7,4,5,2,1,3]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[],[[]],[[]],[[]],[]]
[8,7,5,4,6,2,1,3]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[[],[],[[]],[],[[]],[]]
[8,7,4,5,6,2,1,3]=>[1,2,5,4,3,7,8,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[[],[],[[[]]],[[]],[]]
[8,6,5,4,7,2,1,3]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[],[[]],[],[],[[]],[]]
[8,6,4,5,7,2,1,3]=>[1,3,5,4,2,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[],[[]],[[]],[[]],[]]
[8,5,4,6,7,2,1,3]=>[1,4,5,3,2,7,8,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[[],[[[]]],[],[[]],[]]
[8,4,5,6,7,2,1,3]=>[1,5,4,3,2,7,8,6]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[[],[[[[]]]],[[]],[]]
[7,6,5,4,8,2,1,3]=>[2,3,4,5,1,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[[[]],[],[],[],[[]],[]]
[7,5,6,4,8,2,1,3]=>[2,4,3,5,1,7,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[]],[[]],[],[[]],[]]
[6,5,7,4,8,2,1,3]=>[3,4,2,5,1,7,8,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[[[]]],[],[],[[]],[]]
[5,6,7,4,8,2,1,3]=>[4,3,2,5,1,7,8,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[6,7,4,5,8,2,1,3]=>[3,2,5,4,1,7,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[7,5,4,6,8,2,1,3]=>[2,4,5,3,1,7,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[]],[[]],[],[[]],[]]
[7,4,5,6,8,2,1,3]=>[2,5,4,3,1,7,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[6,4,5,7,8,2,1,3]=>[3,5,4,2,1,7,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[4,5,6,7,8,2,1,3]=>[5,4,3,2,1,7,8,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[[],[],[],[],[],[[[]]]]
[7,8,6,5,4,1,2,3]=>[2,1,3,4,5,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[[[]],[],[],[],[[[]]]]
[8,6,7,5,4,1,2,3]=>[1,3,2,4,5,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>[[],[[]],[],[],[[[]]]]
[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[[[[]]],[],[],[[[]]]]
[8,7,5,6,4,1,2,3]=>[1,2,4,3,5,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>[[],[],[[]],[],[[[]]]]
[7,8,5,6,4,1,2,3]=>[2,1,4,3,5,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[[[]],[[]],[],[[[]]]]
[8,5,6,7,4,1,2,3]=>[1,4,3,2,5,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[[],[[[]]],[],[[[]]]]
[7,6,5,8,4,1,2,3]=>[2,3,4,1,5,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[[[]],[],[],[],[[[]]]]
[6,7,5,8,4,1,2,3]=>[3,2,4,1,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[[[[]]],[],[],[[[]]]]
[7,5,6,8,4,1,2,3]=>[2,4,3,1,5,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[[[]],[[]],[],[[[]]]]
[5,6,7,8,4,1,2,3]=>[4,3,2,1,5,8,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[[[[[]]]],[],[[[]]]]
[8,7,6,4,5,1,2,3]=>[1,2,3,5,4,8,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[[],[],[],[[]],[[[]]]]
[7,8,6,4,5,1,2,3]=>[2,1,3,5,4,8,7,6]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[[[]],[],[[]],[[[]]]]
[8,6,7,4,5,1,2,3]=>[1,3,2,5,4,8,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[[],[[]],[[]],[[[]]]]
[8,7,5,4,6,1,2,3]=>[1,2,4,5,3,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>[[],[],[[]],[],[[[]]]]
[7,8,5,4,6,1,2,3]=>[2,1,4,5,3,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[[[]],[[]],[],[[[]]]]
[8,7,4,5,6,1,2,3]=>[1,2,5,4,3,8,7,6]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[[],[],[[[]]],[[[]]]]
[7,8,4,5,6,1,2,3]=>[2,1,5,4,3,8,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[[[]],[[[]]],[[[]]]]
[8,6,5,4,7,1,2,3]=>[1,3,4,5,2,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>[[],[[]],[],[],[[[]]]]
[8,5,4,6,7,1,2,3]=>[1,4,5,3,2,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[[],[[[]]],[],[[[]]]]
[8,4,5,6,7,1,2,3]=>[1,5,4,3,2,8,7,6]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[[],[[[[]]]],[[[]]]]
[7,6,5,4,8,1,2,3]=>[2,3,4,5,1,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[[[]],[],[],[],[[[]]]]
[6,7,5,4,8,1,2,3]=>[3,2,4,5,1,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[[[[]]],[],[],[[[]]]]
[7,5,6,4,8,1,2,3]=>[2,4,3,5,1,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[[[]],[[]],[],[[[]]]]
[6,5,7,4,8,1,2,3]=>[3,4,2,5,1,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[[[[]]],[],[],[[[]]]]
[5,6,7,4,8,1,2,3]=>[4,3,2,5,1,8,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[[[[[]]]],[],[[[]]]]
[7,6,4,5,8,1,2,3]=>[2,3,5,4,1,8,7,6]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[[[]],[],[[]],[[[]]]]
[6,7,4,5,8,1,2,3]=>[3,2,5,4,1,8,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]
[7,5,4,6,8,1,2,3]=>[2,4,5,3,1,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[[[]],[[]],[],[[[]]]]
[7,4,5,6,8,1,2,3]=>[2,5,4,3,1,8,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[[[]],[[[]]],[[[]]]]
[6,5,4,7,8,1,2,3]=>[3,4,5,2,1,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[[[[]]],[],[],[[[]]]]
[5,6,4,7,8,1,2,3]=>[4,3,5,2,1,8,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[[[[[]]]],[],[[[]]]]
[6,4,5,7,8,1,2,3]=>[3,5,4,2,1,8,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]
[5,4,6,7,8,1,2,3]=>[4,5,3,2,1,8,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[[[[[]]]],[],[[[]]]]
[4,5,6,7,8,1,2,3]=>[5,4,3,2,1,8,7,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[[[[[[]]]]],[[[]]]]
[8,7,6,5,3,2,1,4]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[[],[],[],[],[[]],[],[]]
[7,8,6,5,3,2,1,4]=>[2,1,3,4,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[[]],[],[],[[]],[],[]]
[8,6,7,5,3,2,1,4]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[],[[]],[],[[]],[],[]]
[7,6,8,5,3,2,1,4]=>[2,3,1,4,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[[]],[],[],[[]],[],[]]
[6,7,8,5,3,2,1,4]=>[3,2,1,4,6,7,8,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[8,7,5,6,3,2,1,4]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[],[],[[]],[[]],[],[]]
[7,8,5,6,3,2,1,4]=>[2,1,4,3,6,7,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[8,6,5,7,3,2,1,4]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[],[[]],[],[[]],[],[]]
[8,5,6,7,3,2,1,4]=>[1,4,3,2,6,7,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[],[[[]]],[[]],[],[]]
[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[[]],[],[],[[]],[],[]]
[6,7,5,8,3,2,1,4]=>[3,2,4,1,6,7,8,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[7,5,6,8,3,2,1,4]=>[2,4,3,1,6,7,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[6,5,7,8,3,2,1,4]=>[3,4,2,1,6,7,8,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[5,6,7,8,3,2,1,4]=>[4,3,2,1,6,7,8,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[8,7,6,5,2,3,1,4]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[[],[],[],[],[[[]]],[]]
[7,8,6,5,2,3,1,4]=>[2,1,3,4,7,6,8,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[[[]],[],[],[[[]]],[]]
[8,6,7,5,2,3,1,4]=>[1,3,2,4,7,6,8,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[[],[[]],[],[[[]]],[]]
[7,6,8,5,2,3,1,4]=>[2,3,1,4,7,6,8,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[[[]],[],[],[[[]]],[]]
[8,7,5,6,2,3,1,4]=>[1,2,4,3,7,6,8,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[[],[],[[]],[[[]]],[]]
[7,8,5,6,2,3,1,4]=>[2,1,4,3,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[[]],[[]],[[[]]],[]]
[8,6,5,7,2,3,1,4]=>[1,3,4,2,7,6,8,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[[],[[]],[],[[[]]],[]]
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[8,5,3,4,1,2,6,7]=>[1,4,6,5,8,7,3,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[[],[[[]]],[[]],[[]]]
[8,4,5,2,1,3,6,7]=>[1,5,4,7,8,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[[],[[[[]]]],[[]],[]]
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[8,5,3,2,1,4,6,7]=>[1,4,6,7,8,5,3,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[],[[[]]],[[]],[],[]]
[8,5,3,1,2,4,6,7]=>[1,4,6,8,7,5,3,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[[],[[[]]],[[]],[[]]]
[8,5,2,1,3,4,6,7]=>[1,4,7,8,6,5,3,2]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[[],[[[]]],[[[]]],[]]
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[8,3,4,2,1,5,6,7]=>[1,6,5,7,8,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[[],[[[[[]]]]],[],[]]
[8,4,2,3,1,5,6,7]=>[1,5,7,6,8,4,3,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[[],[[[[]]]],[[]],[]]
[8,3,2,4,1,5,6,7]=>[1,6,7,5,8,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[[],[[[[[]]]]],[],[]]
[8,2,3,4,1,5,6,7]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[[],[[[[[[]]]]]],[]]
[8,3,4,1,2,5,6,7]=>[1,6,5,8,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[[],[[[[[]]]]],[[]]]
[8,4,1,2,3,5,6,7]=>[1,5,8,7,6,4,3,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[[],[[[[]]]],[[[]]]]
[8,3,2,1,4,5,6,7]=>[1,6,7,8,5,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[[],[[[[[]]]]],[],[]]
[8,2,3,1,4,5,6,7]=>[1,7,6,8,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[[],[[[[[[]]]]]],[]]
[8,3,1,2,4,5,6,7]=>[1,6,8,7,5,4,3,2]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[[],[[[[[]]]]],[[]]]
[8,2,1,3,4,5,6,7]=>[1,7,8,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[[],[[[[[[]]]]]],[]]
[8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]=>[[],[[[[[[[]]]]]]]]
[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[[]],[],[],[],[],[],[]]
[6,7,5,4,3,2,1,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[7,5,6,4,3,2,1,8]=>[2,4,3,5,6,7,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[]],[[]],[],[],[],[]]
[6,5,7,4,3,2,1,8]=>[3,4,2,5,6,7,8,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[5,6,7,4,3,2,1,8]=>[4,3,2,5,6,7,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[7,6,4,5,3,2,1,8]=>[2,3,5,4,6,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[[]],[],[[]],[],[],[]]
[6,7,4,5,3,2,1,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[7,5,4,6,3,2,1,8]=>[2,4,5,3,6,7,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[]],[[]],[],[],[],[]]
[7,4,5,6,3,2,1,8]=>[2,5,4,3,6,7,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[6,5,4,7,3,2,1,8]=>[3,4,5,2,6,7,8,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[5,6,4,7,3,2,1,8]=>[4,3,5,2,6,7,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[6,4,5,7,3,2,1,8]=>[3,5,4,2,6,7,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[5,4,6,7,3,2,1,8]=>[4,5,3,2,6,7,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[4,5,6,7,3,2,1,8]=>[5,4,3,2,6,7,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[7,6,5,3,4,2,1,8]=>[2,3,4,6,5,7,8,1]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[[]],[],[],[[]],[],[]]
[7,5,6,3,4,2,1,8]=>[2,4,3,6,5,7,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[6,5,7,3,4,2,1,8]=>[3,4,2,6,5,7,8,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[5,6,7,3,4,2,1,8]=>[4,3,2,6,5,7,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[[]],[],[[]],[],[],[]]
[6,7,4,3,5,2,1,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[[[]],[],[[[]]],[],[]]
[7,5,4,3,6,2,1,8]=>[2,4,5,6,3,7,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[]],[[]],[],[],[],[]]
[7,5,3,4,6,2,1,8]=>[2,4,6,5,3,7,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[7,4,3,5,6,2,1,8]=>[2,5,6,4,3,7,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[7,3,4,5,6,2,1,8]=>[2,6,5,4,3,7,8,1]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[[[]],[[[[]]]],[],[]]
[6,5,4,3,7,2,1,8]=>[3,4,5,6,2,7,8,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[5,6,4,3,7,2,1,8]=>[4,3,5,6,2,7,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[6,4,5,3,7,2,1,8]=>[3,5,4,6,2,7,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[4,5,6,3,7,2,1,8]=>[5,4,3,6,2,7,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[6,5,3,4,7,2,1,8]=>[3,4,6,5,2,7,8,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[6,4,3,5,7,2,1,8]=>[3,5,6,4,2,7,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[6,3,4,5,7,2,1,8]=>[3,6,5,4,2,7,8,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]
[5,4,3,6,7,2,1,8]=>[4,5,6,3,2,7,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[4,5,3,6,7,2,1,8]=>[5,4,6,3,2,7,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[3,4,5,6,7,2,1,8]=>[6,5,4,3,2,7,8,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[7,6,5,4,2,3,1,8]=>[2,3,4,5,7,6,8,1]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[[[]],[],[],[],[[]],[]]
[6,7,5,4,2,3,1,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[[[]]],[],[],[[]],[]]
[7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[]],[[]],[],[[]],[]]
[6,5,7,4,2,3,1,8]=>[3,4,2,5,7,6,8,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[[[]]],[],[],[[]],[]]
[5,6,7,4,2,3,1,8]=>[4,3,2,5,7,6,8,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[7,6,4,5,2,3,1,8]=>[2,3,5,4,7,6,8,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[[[]],[],[[]],[[]],[]]
[6,7,4,5,2,3,1,8]=>[3,2,5,4,7,6,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[7,4,5,6,2,3,1,8]=>[2,5,4,3,7,6,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[6,5,4,7,2,3,1,8]=>[3,4,5,2,7,6,8,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[[[]]],[],[],[[]],[]]
[5,6,4,7,2,3,1,8]=>[4,3,5,2,7,6,8,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[6,4,5,7,2,3,1,8]=>[3,5,4,2,7,6,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[4,5,6,7,2,3,1,8]=>[5,4,3,2,7,6,8,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[7,6,5,3,2,4,1,8]=>[2,3,4,6,7,5,8,1]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[[]],[],[],[[]],[],[]]
[7,5,6,3,2,4,1,8]=>[2,4,3,6,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[6,5,7,3,2,4,1,8]=>[3,4,2,6,7,5,8,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[5,6,7,3,2,4,1,8]=>[4,3,2,6,7,5,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[7,6,5,2,3,4,1,8]=>[2,3,4,7,6,5,8,1]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[[[]],[],[],[[[]]],[]]
[6,7,5,2,3,4,1,8]=>[3,2,4,7,6,5,8,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[]]],[],[[[]]],[]]
[7,5,6,2,3,4,1,8]=>[2,4,3,7,6,5,8,1]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[[]],[[]],[[[]]],[]]
[6,5,7,2,3,4,1,8]=>[3,4,2,7,6,5,8,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[]]],[],[[[]]],[]]
[5,6,7,2,3,4,1,8]=>[4,3,2,7,6,5,8,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[7,6,4,3,2,5,1,8]=>[2,3,5,6,7,4,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[[]],[],[[]],[],[],[]]
[6,7,4,3,2,5,1,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[6,7,3,4,2,5,1,8]=>[3,2,6,5,7,4,8,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]
[7,6,4,2,3,5,1,8]=>[2,3,5,7,6,4,8,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[[[]],[],[[]],[[]],[]]
[6,7,4,2,3,5,1,8]=>[3,2,5,7,6,4,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[6,7,3,2,4,5,1,8]=>[3,2,6,7,5,4,8,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]
[7,6,2,3,4,5,1,8]=>[2,3,7,6,5,4,8,1]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>[[[]],[],[[[[]]]],[]]
[6,7,2,3,4,5,1,8]=>[3,2,7,6,5,4,8,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[[[]]],[[[[]]]],[]]
[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[]],[[]],[],[],[],[]]
[7,4,5,3,2,6,1,8]=>[2,5,4,6,7,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[7,5,3,2,4,6,1,8]=>[2,4,6,7,5,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[7,3,4,2,5,6,1,8]=>[2,6,5,7,4,3,8,1]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[[[]],[[[[]]]],[],[]]
[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[[[]],[[[[[]]]]],[]]
[6,5,4,3,2,7,1,8]=>[3,4,5,6,7,2,8,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[6,4,5,3,2,7,1,8]=>[3,5,4,6,7,2,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[5,4,6,3,2,7,1,8]=>[4,5,3,6,7,2,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[4,5,6,3,2,7,1,8]=>[5,4,3,6,7,2,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[6,5,3,4,2,7,1,8]=>[3,4,6,5,7,2,8,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[5,6,3,4,2,7,1,8]=>[4,3,6,5,7,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[6,4,3,5,2,7,1,8]=>[3,5,6,4,7,2,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[6,3,4,5,2,7,1,8]=>[3,6,5,4,7,2,8,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]
[5,4,3,6,2,7,1,8]=>[4,5,6,3,7,2,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[4,5,3,6,2,7,1,8]=>[5,4,6,3,7,2,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[5,3,4,6,2,7,1,8]=>[4,6,5,3,7,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[3,4,5,6,2,7,1,8]=>[6,5,4,3,7,2,8,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[6,5,4,2,3,7,1,8]=>[3,4,5,7,6,2,8,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[[[]]],[],[],[[]],[]]
[6,4,5,2,3,7,1,8]=>[3,5,4,7,6,2,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[4,5,6,2,3,7,1,8]=>[5,4,3,7,6,2,8,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[6,5,3,2,4,7,1,8]=>[3,4,6,7,5,2,8,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[5,6,3,2,4,7,1,8]=>[4,3,6,7,5,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[6,5,2,3,4,7,1,8]=>[3,4,7,6,5,2,8,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[]]],[],[[[]]],[]]
[5,6,2,3,4,7,1,8]=>[4,3,7,6,5,2,8,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[6,4,3,2,5,7,1,8]=>[3,5,6,7,4,2,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[6,4,2,3,5,7,1,8]=>[3,5,7,6,4,2,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[5,4,3,2,6,7,1,8]=>[4,5,6,7,3,2,8,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[5,3,4,2,6,7,1,8]=>[4,6,5,7,3,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
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[7,4,5,2,1,3,6,8]=>[2,5,4,7,8,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
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[7,5,3,1,2,4,6,8]=>[2,4,6,8,7,5,3,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[[]],[[]],[[]],[[]]]
[7,5,2,1,3,4,6,8]=>[2,4,7,8,6,5,3,1]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[[]],[[]],[[[]]],[]]
[7,5,1,2,3,4,6,8]=>[2,4,8,7,6,5,3,1]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[[[]],[[]],[[[[]]]]]
[7,4,3,2,1,5,6,8]=>[2,5,6,7,8,4,3,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[7,3,2,4,1,5,6,8]=>[2,6,7,5,8,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[[[]],[[[[]]]],[],[]]
[7,4,1,2,3,5,6,8]=>[2,5,8,7,6,4,3,1]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[[[]],[[[]]],[[[]]]]
[7,3,2,1,4,5,6,8]=>[2,6,7,8,5,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[[[]],[[[[]]]],[],[]]
[7,2,3,1,4,5,6,8]=>[2,7,6,8,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[[[]],[[[[[]]]]],[]]
[7,3,1,2,4,5,6,8]=>[2,6,8,7,5,4,3,1]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[[[]],[[[[]]]],[[]]]
[7,2,1,3,4,5,6,8]=>[2,7,8,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[[[]],[[[[[]]]]],[]]
[7,1,2,3,4,5,6,8]=>[2,8,7,6,5,4,3,1]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[[[]],[[[[[[]]]]]]]
[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[]]],[],[],[],[],[]]
[5,6,4,3,2,1,7,8]=>[4,3,5,6,7,8,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[6,4,5,3,2,1,7,8]=>[3,5,4,6,7,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[4,5,6,3,2,1,7,8]=>[5,4,3,6,7,8,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[5,6,3,4,2,1,7,8]=>[4,3,6,5,7,8,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[6,4,3,5,2,1,7,8]=>[3,5,6,4,7,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[6,3,4,5,2,1,7,8]=>[3,6,5,4,7,8,2,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]
[3,4,5,6,2,1,7,8]=>[6,5,4,3,7,8,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[6,5,4,2,3,1,7,8]=>[3,4,5,7,6,8,2,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[[[]]],[],[],[[]],[]]
[5,6,4,2,3,1,7,8]=>[4,3,5,7,6,8,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[5,4,6,2,3,1,7,8]=>[4,5,3,7,6,8,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[6,5,3,2,4,1,7,8]=>[3,4,6,7,5,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[6,5,2,3,4,1,7,8]=>[3,4,7,6,5,8,2,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[]]],[],[[[]]],[]]
[5,6,2,3,4,1,7,8]=>[4,3,7,6,5,8,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[6,4,2,3,5,1,7,8]=>[3,5,7,6,4,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[[[]]],[[[[]]]],[]]
[5,4,3,2,6,1,7,8]=>[4,5,6,7,3,8,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[4,5,3,2,6,1,7,8]=>[5,4,6,7,3,8,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[3,4,5,2,6,1,7,8]=>[6,5,4,7,3,8,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[4,5,2,3,6,1,7,8]=>[5,4,7,6,3,8,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[5,2,3,4,6,1,7,8]=>[4,7,6,5,3,8,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[4,3,2,5,6,1,7,8]=>[5,6,7,4,3,8,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[3,4,2,5,6,1,7,8]=>[6,5,7,4,3,8,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[4,2,3,5,6,1,7,8]=>[5,7,6,4,3,8,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[3,2,4,5,6,1,7,8]=>[6,7,5,4,3,8,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[2,3,4,5,6,1,7,8]=>[7,6,5,4,3,8,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[[[[[[[[]]]]]]],[]]
[6,5,4,3,1,2,7,8]=>[3,4,5,6,8,7,2,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[[[[]]],[],[],[],[[]]]
[5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[[[[]]]],[],[],[[]]]
[5,4,6,3,1,2,7,8]=>[4,5,3,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[[[[]]]],[],[],[[]]]
[4,5,6,3,1,2,7,8]=>[5,4,3,6,8,7,2,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[[[[[[]]]]],[],[[]]]
[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[6,3,4,5,1,2,7,8]=>[3,6,5,4,8,7,2,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[5,4,3,6,1,2,7,8]=>[4,5,6,3,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[[[[]]]],[],[],[[]]]
[4,3,5,6,1,2,7,8]=>[5,6,4,3,8,7,2,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[[[[[[]]]]],[],[[]]]
[3,4,5,6,1,2,7,8]=>[6,5,4,3,8,7,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[[[[[[[]]]]]],[[]]]
[6,5,4,2,1,3,7,8]=>[3,4,5,7,8,6,2,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[[[]]],[],[],[[]],[]]
[5,6,4,2,1,3,7,8]=>[4,3,5,7,8,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[6,4,5,2,1,3,7,8]=>[3,5,4,7,8,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[5,4,6,2,1,3,7,8]=>[4,5,3,7,8,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[4,5,6,2,1,3,7,8]=>[5,4,3,7,8,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[4,5,6,1,2,3,7,8]=>[5,4,3,8,7,6,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[[[[[[]]]]],[[[]]]]
[6,5,3,2,1,4,7,8]=>[3,4,6,7,8,5,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[5,6,3,2,1,4,7,8]=>[4,3,6,7,8,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[5,6,1,2,3,4,7,8]=>[4,3,8,7,6,5,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[[[[[]]]],[[[[]]]]]
[6,4,3,2,1,5,7,8]=>[3,5,6,7,8,4,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[6,4,2,3,1,5,7,8]=>[3,5,7,6,8,4,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[6,2,3,4,1,5,7,8]=>[3,7,6,5,8,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[[[]]],[[[[]]]],[]]
[6,4,3,1,2,5,7,8]=>[3,5,6,8,7,4,2,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[6,4,2,1,3,5,7,8]=>[3,5,7,8,6,4,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[6,4,1,2,3,5,7,8]=>[3,5,8,7,6,4,2,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]
[6,2,3,1,4,5,7,8]=>[3,7,6,8,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[[[]]],[[[[]]]],[]]
[6,3,1,2,4,5,7,8]=>[3,6,8,7,5,4,2,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[6,2,1,3,4,5,7,8]=>[3,7,8,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[[[]]],[[[[]]]],[]]
[6,1,2,3,4,5,7,8]=>[3,8,7,6,5,4,2,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[[[]]],[[[[[]]]]]]
[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[]]]],[],[],[],[]]
[4,5,3,2,1,6,7,8]=>[5,4,6,7,8,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[5,3,4,2,1,6,7,8]=>[4,6,5,7,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[4,3,5,2,1,6,7,8]=>[5,6,4,7,8,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[3,4,5,2,1,6,7,8]=>[6,5,4,7,8,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[5,4,2,3,1,6,7,8]=>[4,5,7,6,8,3,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[4,5,2,3,1,6,7,8]=>[5,4,7,6,8,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[4,3,2,5,1,6,7,8]=>[5,6,7,4,8,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[3,4,2,5,1,6,7,8]=>[6,5,7,4,8,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[4,2,3,5,1,6,7,8]=>[5,7,6,4,8,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[3,2,4,5,1,6,7,8]=>[6,7,5,4,8,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[2,3,4,5,1,6,7,8]=>[7,6,5,4,8,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[[[[[[[[]]]]]]],[]]
[5,4,3,1,2,6,7,8]=>[4,5,6,8,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[[[[]]]],[],[],[[]]]
[5,3,4,1,2,6,7,8]=>[4,6,5,8,7,3,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[4,3,5,1,2,6,7,8]=>[5,6,4,8,7,3,2,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[[[[[[]]]]],[],[[]]]
[4,5,2,1,3,6,7,8]=>[5,4,7,8,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[5,4,1,2,3,6,7,8]=>[4,5,8,7,6,3,2,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[[[[[]]]],[],[[[]]]]
[5,2,3,1,4,6,7,8]=>[4,7,6,8,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[5,3,1,2,4,6,7,8]=>[4,6,8,7,5,3,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[5,2,1,3,4,6,7,8]=>[4,7,8,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[5,1,2,3,4,6,7,8]=>[4,8,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[[[[[]]]],[[[[]]]]]
[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]
[3,4,2,1,5,6,7,8]=>[6,5,7,8,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[3,2,4,1,5,6,7,8]=>[6,7,5,8,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[2,3,4,1,5,6,7,8]=>[7,6,5,8,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[[[[[[[[]]]]]]],[]]
[4,3,1,2,5,6,7,8]=>[5,6,8,7,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[[[[[[]]]]],[],[[]]]
[3,4,1,2,5,6,7,8]=>[6,5,8,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[[[[[[[]]]]]],[[]]]
[4,2,1,3,5,6,7,8]=>[5,7,8,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[4,1,2,3,5,6,7,8]=>[5,8,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[[[[[[]]]]],[[[]]]]
[3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]
[2,3,1,4,5,6,7,8]=>[7,6,8,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[[[[[[[[]]]]]]],[]]
[3,1,2,4,5,6,7,8]=>[6,8,7,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[[[[[[[]]]]]],[[]]]
[2,1,3,4,5,6,7,8]=>[7,8,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[[[[[[[[]]]]]]],[]]
[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]=>[[[[[[[[[]]]]]]]]]
[6,8,7,5,4,3,2,1]=>[3,1,2,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[[[],[]],[],[],[],[],[]]
[5,8,7,6,4,3,2,1]=>[4,1,2,3,5,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[[[],[],[]],[],[],[],[]]
[5,7,8,6,4,3,2,1]=>[4,2,1,3,5,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[6,5,8,7,4,3,2,1]=>[3,4,1,2,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[[[],[]],[],[],[],[],[]]
[5,6,8,7,4,3,2,1]=>[4,3,1,2,5,6,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[[[[],[]]],[],[],[],[]]
[5,7,6,8,4,3,2,1]=>[4,2,3,1,5,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[4,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[[[],[],[],[]],[],[],[]]
[4,7,8,6,5,3,2,1]=>[5,2,1,3,4,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[4,6,8,7,5,3,2,1]=>[5,3,1,2,4,6,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]
[4,7,6,8,5,3,2,1]=>[5,2,3,1,4,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[4,6,7,8,5,3,2,1]=>[5,3,2,1,4,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[5,4,8,7,6,3,2,1]=>[4,5,1,2,3,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[[[],[],[]],[],[],[],[]]
[5,4,7,8,6,3,2,1]=>[4,5,2,1,3,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[4,5,8,7,6,3,2,1]=>[5,4,1,2,3,6,7,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[[[[],[],[]]],[],[],[]]
[4,5,7,8,6,3,2,1]=>[5,4,2,1,3,6,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[6,5,4,8,7,3,2,1]=>[3,4,5,1,2,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[[[],[]],[],[],[],[],[]]
[5,6,4,8,7,3,2,1]=>[4,3,5,1,2,6,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[[[[],[]]],[],[],[],[]]
[4,5,6,8,7,3,2,1]=>[5,4,3,1,2,6,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[[[],[]]]],[],[],[]]
[5,7,6,4,8,3,2,1]=>[4,2,3,5,1,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[4,7,6,5,8,3,2,1]=>[5,2,3,4,1,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[4,6,7,5,8,3,2,1]=>[5,3,2,4,1,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[5,4,7,6,8,3,2,1]=>[4,5,2,3,1,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[4,5,7,6,8,3,2,1]=>[5,4,2,3,1,6,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[4,6,5,7,8,3,2,1]=>[5,3,4,2,1,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[3,8,7,6,5,4,2,1]=>[6,1,2,3,4,5,7,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[[[],[],[],[],[]],[],[]]
[3,6,8,7,5,4,2,1]=>[6,3,1,2,4,5,7,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]
[3,7,6,8,5,4,2,1]=>[6,2,3,1,4,5,7,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]
[3,5,8,7,6,4,2,1]=>[6,4,1,2,3,5,7,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]
[3,5,7,8,6,4,2,1]=>[6,4,2,1,3,5,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[3,5,6,8,7,4,2,1]=>[6,4,3,1,2,5,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[3,6,5,7,8,4,2,1]=>[6,3,4,2,1,5,7,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,5,6,7,8,4,2,1]=>[6,4,3,2,1,5,7,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[4,3,7,8,6,5,2,1]=>[5,6,2,1,3,4,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[4,3,6,7,8,5,2,1]=>[5,6,3,2,1,4,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[3,4,6,7,8,5,2,1]=>[6,5,3,2,1,4,7,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[5,4,3,8,7,6,2,1]=>[4,5,6,1,2,3,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[[[],[],[]],[],[],[],[]]
[5,4,3,7,8,6,2,1]=>[4,5,6,2,1,3,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[4,5,3,7,8,6,2,1]=>[5,4,6,2,1,3,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[3,5,4,7,8,6,2,1]=>[6,4,5,2,1,3,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[4,3,5,7,8,6,2,1]=>[5,6,4,2,1,3,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[3,4,5,8,7,6,2,1]=>[6,5,4,1,2,3,7,8]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[[[[[],[],[]]]],[],[]]
[3,4,5,7,8,6,2,1]=>[6,5,4,2,1,3,7,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]
[6,5,4,3,8,7,2,1]=>[3,4,5,6,1,2,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[[[],[]],[],[],[],[],[]]
[5,6,4,3,8,7,2,1]=>[4,3,5,6,1,2,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[[[[],[]]],[],[],[],[]]
[4,5,6,3,8,7,2,1]=>[5,4,3,6,1,2,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[[[],[]]]],[],[],[]]
[3,5,6,4,8,7,2,1]=>[6,4,3,5,1,2,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[4,3,6,5,8,7,2,1]=>[5,6,3,4,1,2,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]
[4,5,3,6,8,7,2,1]=>[5,4,6,3,1,2,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[[[],[]]]],[],[],[]]
[3,5,4,6,8,7,2,1]=>[6,4,5,3,1,2,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[4,3,5,6,8,7,2,1]=>[5,6,4,3,1,2,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[[[],[]]]],[],[],[]]
[3,4,5,6,8,7,2,1]=>[6,5,4,3,1,2,7,8]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[[[[[[],[]]]]],[],[]]
[5,7,6,4,3,8,2,1]=>[4,2,3,5,6,1,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[4,7,6,5,3,8,2,1]=>[5,2,3,4,6,1,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[4,6,7,5,3,8,2,1]=>[5,3,2,4,6,1,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[3,7,6,5,4,8,2,1]=>[6,2,3,4,5,1,7,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]
[3,5,6,7,4,8,2,1]=>[6,4,3,2,5,1,7,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[4,3,7,6,5,8,2,1]=>[5,6,2,3,4,1,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[4,3,6,7,5,8,2,1]=>[5,6,3,2,4,1,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[3,4,7,6,5,8,2,1]=>[6,5,2,3,4,1,7,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[4,5,3,7,6,8,2,1]=>[5,4,6,2,3,1,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[3,6,5,4,7,8,2,1]=>[6,3,4,5,2,1,7,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[4,3,6,5,7,8,2,1]=>[5,6,3,4,2,1,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[3,4,6,5,7,8,2,1]=>[6,5,3,4,2,1,7,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[2,8,7,6,5,4,3,1]=>[7,1,2,3,4,5,6,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[[[],[],[],[],[],[]],[]]
[2,7,8,6,5,4,3,1]=>[7,2,1,3,4,5,6,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[[[[]],[],[],[],[]],[]]
[2,6,8,7,5,4,3,1]=>[7,3,1,2,4,5,6,8]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[],[],[]],[]]
[2,7,6,8,5,4,3,1]=>[7,2,3,1,4,5,6,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[[[[]],[],[],[],[]],[]]
[2,6,7,8,5,4,3,1]=>[7,3,2,1,4,5,6,8]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]
[2,5,8,7,6,4,3,1]=>[7,4,1,2,3,5,6,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[[[[],[],[]],[],[]],[]]
[2,6,5,8,7,4,3,1]=>[7,3,4,1,2,5,6,8]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[],[],[]],[]]
[2,5,6,8,7,4,3,1]=>[7,4,3,1,2,5,6,8]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[[[[[],[]]],[],[]],[]]
[2,7,6,5,8,4,3,1]=>[7,2,3,4,1,5,6,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[[[[]],[],[],[],[]],[]]
[2,5,6,7,8,4,3,1]=>[7,4,3,2,1,5,6,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[2,4,8,7,6,5,3,1]=>[7,5,1,2,3,4,6,8]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[],[],[],[]],[]],[]]
[2,4,6,8,7,5,3,1]=>[7,5,3,1,2,4,6,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,4,7,6,8,5,3,1]=>[7,5,2,3,1,4,6,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]
[2,4,6,7,8,5,3,1]=>[7,5,3,2,1,4,6,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,5,4,8,7,6,3,1]=>[7,4,5,1,2,3,6,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[[[[],[],[]],[],[]],[]]
[2,5,4,7,8,6,3,1]=>[7,4,5,2,1,3,6,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[2,4,5,6,8,7,3,1]=>[7,5,4,3,1,2,6,8]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[2,7,6,5,4,8,3,1]=>[7,2,3,4,5,1,6,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[[[[]],[],[],[],[]],[]]
[2,5,7,6,4,8,3,1]=>[7,4,2,3,5,1,6,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[2,4,7,6,5,8,3,1]=>[7,5,2,3,4,1,6,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]
[2,4,6,7,5,8,3,1]=>[7,5,3,2,4,1,6,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,5,7,6,8,3,1]=>[7,5,4,2,3,1,6,8]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,6,5,4,7,8,3,1]=>[7,3,4,5,2,1,6,8]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]
[2,5,6,4,7,8,3,1]=>[7,4,3,5,2,1,6,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[2,5,4,6,7,8,3,1]=>[7,4,5,3,2,1,6,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[2,4,5,6,7,8,3,1]=>[7,5,4,3,2,1,6,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[3,2,8,7,6,5,4,1]=>[6,7,1,2,3,4,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[[[],[],[],[],[]],[],[]]
[3,2,6,8,7,5,4,1]=>[6,7,3,1,2,4,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]
[3,2,7,6,8,5,4,1]=>[6,7,2,3,1,4,5,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]
[3,2,6,7,8,5,4,1]=>[6,7,3,2,1,4,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,2,6,5,8,7,4,1]=>[6,7,3,4,1,2,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]
[3,2,7,6,5,8,4,1]=>[6,7,2,3,4,1,5,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]
[3,2,6,7,5,8,4,1]=>[6,7,3,2,4,1,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,2,5,7,6,8,4,1]=>[6,7,4,2,3,1,5,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[3,2,6,5,7,8,4,1]=>[6,7,3,4,2,1,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,2,5,6,7,8,4,1]=>[6,7,4,3,2,1,5,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[2,3,8,7,6,5,4,1]=>[7,6,1,2,3,4,5,8]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[[[[],[],[],[],[]]],[]]
[2,3,7,6,8,5,4,1]=>[7,6,2,3,1,4,5,8]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[[[[[]],[],[],[]]],[]]
[2,3,6,7,8,5,4,1]=>[7,6,3,2,1,4,5,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,3,5,7,8,6,4,1]=>[7,6,4,2,1,3,5,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[2,3,5,6,8,7,4,1]=>[7,6,4,3,1,2,5,8]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[[[[[[],[]]],[]]],[]]
[2,3,7,6,5,8,4,1]=>[7,6,2,3,4,1,5,8]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[[[[[]],[],[],[]]],[]]
[2,3,6,7,5,8,4,1]=>[7,6,3,2,4,1,5,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,3,5,7,6,8,4,1]=>[7,6,4,2,3,1,5,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[2,3,6,5,7,8,4,1]=>[7,6,3,4,2,1,5,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,3,5,6,7,8,4,1]=>[7,6,4,3,2,1,5,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]
[4,3,2,8,7,6,5,1]=>[5,6,7,1,2,3,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[[[],[],[],[]],[],[],[]]
[4,3,2,7,8,6,5,1]=>[5,6,7,2,1,3,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[4,3,2,6,8,7,5,1]=>[5,6,7,3,1,2,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]
[4,3,2,7,6,8,5,1]=>[5,6,7,2,3,1,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[3,4,2,8,7,6,5,1]=>[6,5,7,1,2,3,4,8]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[[[[],[],[],[]]],[],[]]
[3,4,2,7,6,8,5,1]=>[6,5,7,2,3,1,4,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[2,4,3,8,7,6,5,1]=>[7,5,6,1,2,3,4,8]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[],[],[],[]],[]],[]]
[2,4,3,7,8,6,5,1]=>[7,5,6,2,1,3,4,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]
[2,4,3,7,6,8,5,1]=>[7,5,6,2,3,1,4,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]
[3,2,4,8,7,6,5,1]=>[6,7,5,1,2,3,4,8]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[[[[],[],[],[]]],[],[]]
[3,2,4,7,8,6,5,1]=>[6,7,5,2,1,3,4,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[3,2,4,7,6,8,5,1]=>[6,7,5,2,3,1,4,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[2,3,4,8,7,6,5,1]=>[7,6,5,1,2,3,4,8]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[[[[[],[],[],[]]]],[]]
[2,3,4,7,8,6,5,1]=>[7,6,5,2,1,3,4,8]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[[[[[]],[],[]]]],[]]
[2,3,4,7,6,8,5,1]=>[7,6,5,2,3,1,4,8]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[[[[[]],[],[]]]],[]]
[2,3,4,6,7,8,5,1]=>[7,6,5,3,2,1,4,8]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[[[[[[]]],[]]]],[]]
[5,4,3,2,8,7,6,1]=>[4,5,6,7,1,2,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[[[],[],[]],[],[],[],[]]
[5,4,3,2,7,8,6,1]=>[4,5,6,7,2,1,3,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[4,5,3,2,8,7,6,1]=>[5,4,6,7,1,2,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[[[[],[],[]]],[],[],[]]
[4,5,3,2,7,8,6,1]=>[5,4,6,7,2,1,3,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[4,3,5,2,8,7,6,1]=>[5,6,4,7,1,2,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[[[[],[],[]]],[],[],[]]
[2,5,4,3,8,7,6,1]=>[7,4,5,6,1,2,3,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[[[[],[],[]],[],[]],[]]
[2,4,5,3,7,8,6,1]=>[7,5,4,6,2,1,3,8]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,3,5,4,7,8,6,1]=>[7,6,4,5,2,1,3,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[4,3,2,5,8,7,6,1]=>[5,6,7,4,1,2,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[[[[],[],[]]],[],[],[]]
[3,4,2,5,7,8,6,1]=>[6,5,7,4,2,1,3,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]
[2,3,4,5,8,7,6,1]=>[7,6,5,4,1,2,3,8]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[[[[[[],[],[]]]]],[]]
[2,3,4,5,7,8,6,1]=>[7,6,5,4,2,1,3,8]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[[[[[[]],[]]]]],[]]
[6,5,4,3,2,8,7,1]=>[3,4,5,6,7,1,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[[[],[]],[],[],[],[],[]]
[3,6,5,4,2,8,7,1]=>[6,3,4,5,7,1,2,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]
[4,3,6,5,2,8,7,1]=>[5,6,3,4,7,1,2,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]
[3,5,4,6,2,8,7,1]=>[6,4,5,3,7,1,2,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[3,4,5,6,2,8,7,1]=>[6,5,4,3,7,1,2,8]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[[[[[[],[]]]]],[],[]]
[3,2,6,5,4,8,7,1]=>[6,7,3,4,5,1,2,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]
[3,4,2,6,5,8,7,1]=>[6,5,7,3,4,1,2,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[[[[[],[]],[]]],[],[]]
[2,3,4,6,5,8,7,1]=>[7,6,5,3,4,1,2,8]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[[[[[[],[]],[]]]],[]]
[5,4,3,2,6,8,7,1]=>[4,5,6,7,3,1,2,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[[[[],[]]],[],[],[],[]]
[4,5,3,2,6,8,7,1]=>[5,4,6,7,3,1,2,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[[[],[]]]],[],[],[]]
[2,3,5,4,6,8,7,1]=>[7,6,4,5,3,1,2,8]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[[[[[[],[]]],[]]],[]]
[2,4,3,5,6,8,7,1]=>[7,5,6,4,3,1,2,8]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[3,2,4,5,6,8,7,1]=>[6,7,5,4,3,1,2,8]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[[[[[[],[]]]]],[],[]]
[2,3,4,5,6,8,7,1]=>[7,6,5,4,3,1,2,8]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[[[[[[[],[]]]]]],[]]
[5,7,6,4,3,2,8,1]=>[4,2,3,5,6,7,1,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[4,7,6,5,3,2,8,1]=>[5,2,3,4,6,7,1,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[5,4,7,6,3,2,8,1]=>[4,5,2,3,6,7,1,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[4,5,7,6,3,2,8,1]=>[5,4,2,3,6,7,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[3,7,6,5,4,2,8,1]=>[6,2,3,4,5,7,1,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]
[3,6,7,5,4,2,8,1]=>[6,3,2,4,5,7,1,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,5,7,6,4,2,8,1]=>[6,4,2,3,5,7,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[3,4,6,7,5,2,8,1]=>[6,5,3,2,4,7,1,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[4,5,3,7,6,2,8,1]=>[5,4,6,2,3,7,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[4,6,5,3,7,2,8,1]=>[5,3,4,6,2,7,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[3,6,5,4,7,2,8,1]=>[6,3,4,5,2,7,1,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[4,3,6,5,7,2,8,1]=>[5,6,3,4,2,7,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[2,7,6,5,4,3,8,1]=>[7,2,3,4,5,6,1,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[[[[]],[],[],[],[]],[]]
[2,5,7,6,4,3,8,1]=>[7,4,2,3,5,6,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[2,4,6,7,5,3,8,1]=>[7,5,3,2,4,6,1,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,5,4,7,6,3,8,1]=>[7,4,5,2,3,6,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[2,5,6,4,7,3,8,1]=>[7,4,3,5,2,6,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[2,4,6,5,7,3,8,1]=>[7,5,3,4,2,6,1,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,5,4,6,7,3,8,1]=>[7,4,5,3,2,6,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[2,4,5,6,7,3,8,1]=>[7,5,4,3,2,6,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[3,2,7,6,5,4,8,1]=>[6,7,2,3,4,5,1,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]
[3,2,6,7,5,4,8,1]=>[6,7,3,2,4,5,1,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,2,5,7,6,4,8,1]=>[6,7,4,2,3,5,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[3,2,6,5,7,4,8,1]=>[6,7,3,4,2,5,1,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,2,5,6,7,4,8,1]=>[6,7,4,3,2,5,1,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[2,3,7,6,5,4,8,1]=>[7,6,2,3,4,5,1,8]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[[[[[]],[],[],[]]],[]]
[2,3,6,7,5,4,8,1]=>[7,6,3,2,4,5,1,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,3,5,7,6,4,8,1]=>[7,6,4,2,3,5,1,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[2,3,5,6,7,4,8,1]=>[7,6,4,3,2,5,1,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]
[4,3,2,7,6,5,8,1]=>[5,6,7,2,3,4,1,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[4,3,2,6,7,5,8,1]=>[5,6,7,3,2,4,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[3,4,2,6,7,5,8,1]=>[6,5,7,3,2,4,1,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[2,4,3,7,6,5,8,1]=>[7,5,6,2,3,4,1,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]
[3,2,4,7,6,5,8,1]=>[6,7,5,2,3,4,1,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[2,3,4,7,6,5,8,1]=>[7,6,5,2,3,4,1,8]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[[[[[]],[],[]]]],[]]
[2,3,4,6,7,5,8,1]=>[7,6,5,3,2,4,1,8]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[[[[[[]]],[]]]],[]]
[5,4,3,2,7,6,8,1]=>[4,5,6,7,2,3,1,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[4,5,3,2,7,6,8,1]=>[5,4,6,7,2,3,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[4,3,5,2,7,6,8,1]=>[5,6,4,7,2,3,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[3,4,5,2,7,6,8,1]=>[6,5,4,7,2,3,1,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]
[2,4,5,3,7,6,8,1]=>[7,5,4,6,2,3,1,8]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[3,2,5,4,7,6,8,1]=>[6,7,4,5,2,3,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[2,3,5,4,7,6,8,1]=>[7,6,4,5,2,3,1,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[4,3,2,5,7,6,8,1]=>[5,6,7,4,2,3,1,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[2,4,3,5,7,6,8,1]=>[7,5,6,4,2,3,1,8]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[3,2,4,5,7,6,8,1]=>[6,7,5,4,2,3,1,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]
[2,3,4,5,7,6,8,1]=>[7,6,5,4,2,3,1,8]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[[[[[[]],[]]]]],[]]
[2,6,5,4,3,7,8,1]=>[7,3,4,5,6,2,1,8]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]
[2,4,5,6,3,7,8,1]=>[7,5,4,3,6,2,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[3,2,5,6,4,7,8,1]=>[6,7,4,3,5,2,1,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[2,3,6,5,4,7,8,1]=>[7,6,3,4,5,2,1,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,3,5,6,4,7,8,1]=>[7,6,4,3,5,2,1,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]
[4,3,2,6,5,7,8,1]=>[5,6,7,3,4,2,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[3,4,2,6,5,7,8,1]=>[6,5,7,3,4,2,1,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[2,4,3,6,5,7,8,1]=>[7,5,6,3,4,2,1,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[3,2,4,6,5,7,8,1]=>[6,7,5,3,4,2,1,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[2,3,4,6,5,7,8,1]=>[7,6,5,3,4,2,1,8]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[[[[[[]]],[]]]],[]]
[2,5,4,3,6,7,8,1]=>[7,4,5,6,3,2,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[2,4,5,3,6,7,8,1]=>[7,5,4,6,3,2,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[3,2,5,4,6,7,8,1]=>[6,7,4,5,3,2,1,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[2,3,5,4,6,7,8,1]=>[7,6,4,5,3,2,1,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]
[2,4,3,5,6,7,8,1]=>[7,5,6,4,3,2,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[[[],[],[],[],[],[],[]]]
[1,7,8,6,5,4,3,2]=>[8,2,1,3,4,5,6,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[[[[]],[],[],[],[],[]]]
[1,6,8,7,5,4,3,2]=>[8,3,1,2,4,5,6,7]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[[[[],[]],[],[],[],[]]]
[1,7,6,8,5,4,3,2]=>[8,2,3,1,4,5,6,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[[[[]],[],[],[],[],[]]]
[1,6,7,8,5,4,3,2]=>[8,3,2,1,4,5,6,7]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[[[[[]]],[],[],[],[]]]
[1,5,8,7,6,4,3,2]=>[8,4,1,2,3,5,6,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>[[[[],[],[]],[],[],[]]]
[1,5,7,8,6,4,3,2]=>[8,4,2,1,3,5,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[[[[[]],[]],[],[],[]]]
[1,6,5,8,7,4,3,2]=>[8,3,4,1,2,5,6,7]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[[[[],[]],[],[],[],[]]]
[1,7,6,5,8,4,3,2]=>[8,2,3,4,1,5,6,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[[[[]],[],[],[],[],[]]]
[1,5,7,6,8,4,3,2]=>[8,4,2,3,1,5,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[[[[[]],[]],[],[],[]]]
[1,6,5,7,8,4,3,2]=>[8,3,4,2,1,5,6,7]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[[[[[]]],[],[],[],[]]]
[1,5,6,7,8,4,3,2]=>[8,4,3,2,1,5,6,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[[[[[[]]]],[],[],[]]]
[1,4,8,7,6,5,3,2]=>[8,5,1,2,3,4,6,7]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[[[[],[],[],[]],[],[]]]
[1,4,7,8,6,5,3,2]=>[8,5,2,1,3,4,6,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[[[[[]],[],[]],[],[]]]
[1,4,6,8,7,5,3,2]=>[8,5,3,1,2,4,6,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[[[[[],[]],[]],[],[]]]
[1,4,6,7,8,5,3,2]=>[8,5,3,2,1,4,6,7]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[[[[[]]],[]],[],[]]]
[1,5,4,8,7,6,3,2]=>[8,4,5,1,2,3,6,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>[[[[],[],[]],[],[],[]]]
[1,4,5,8,7,6,3,2]=>[8,5,4,1,2,3,6,7]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[[[[[],[],[]]],[],[]]]
[1,4,5,7,8,6,3,2]=>[8,5,4,2,1,3,6,7]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[[[[[[]],[]]],[],[]]]
[1,6,5,4,8,7,3,2]=>[8,3,4,5,1,2,6,7]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[[[[],[]],[],[],[],[]]]
[1,4,6,5,8,7,3,2]=>[8,5,3,4,1,2,6,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[[[[[],[]],[]],[],[]]]
[1,7,6,5,4,8,3,2]=>[8,2,3,4,5,1,6,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[[[[]],[],[],[],[],[]]]
[1,5,7,6,4,8,3,2]=>[8,4,2,3,5,1,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[[[[[]],[]],[],[],[]]]
[1,4,7,6,5,8,3,2]=>[8,5,2,3,4,1,6,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[[[[[]],[],[]],[],[]]]
[1,5,4,7,6,8,3,2]=>[8,4,5,2,3,1,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[[[[[]],[]],[],[],[]]]
[1,6,5,4,7,8,3,2]=>[8,3,4,5,2,1,6,7]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[[[[[]]],[],[],[],[]]]
[1,5,6,4,7,8,3,2]=>[8,4,3,5,2,1,6,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[[[[[[]]]],[],[],[]]]
[1,5,4,6,7,8,3,2]=>[8,4,5,3,2,1,6,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[[[[[[]]]],[],[],[]]]
[1,4,5,6,7,8,3,2]=>[8,5,4,3,2,1,6,7]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[[[[[[[]]]]],[],[]]]
[1,3,8,7,6,5,4,2]=>[8,6,1,2,3,4,5,7]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>[[[[],[],[],[],[]],[]]]
[1,3,6,7,8,5,4,2]=>[8,6,3,2,1,4,5,7]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[[[[[[]]],[],[]],[]]]
[1,3,5,8,7,6,4,2]=>[8,6,4,1,2,3,5,7]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[[[[[],[],[]],[]],[]]]
[1,3,5,7,8,6,4,2]=>[8,6,4,2,1,3,5,7]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[[[[[]],[]],[]],[]]]
[1,3,6,5,8,7,4,2]=>[8,6,3,4,1,2,5,7]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>[[[[[],[]],[],[]],[]]]
[1,3,5,6,8,7,4,2]=>[8,6,4,3,1,2,5,7]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[[[[[[],[]]],[]],[]]]
[1,3,7,6,5,8,4,2]=>[8,6,2,3,4,1,5,7]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>[[[[[]],[],[],[]],[]]]
[1,3,6,7,5,8,4,2]=>[8,6,3,2,4,1,5,7]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[[[[[[]]],[],[]],[]]]
[1,3,5,7,6,8,4,2]=>[8,6,4,2,3,1,5,7]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[[[[[]],[]],[]],[]]]
[1,3,6,5,7,8,4,2]=>[8,6,3,4,2,1,5,7]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[[[[[[]]],[],[]],[]]]
[1,3,5,6,7,8,4,2]=>[8,6,4,3,2,1,5,7]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[[[[[[]]]],[]],[]]]
[1,4,3,8,7,6,5,2]=>[8,5,6,1,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[[[[],[],[],[]],[],[]]]
[1,4,3,7,8,6,5,2]=>[8,5,6,2,1,3,4,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[[[[[]],[],[]],[],[]]]
[1,4,3,6,8,7,5,2]=>[8,5,6,3,1,2,4,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[[[[[],[]],[]],[],[]]]
[1,4,3,7,6,8,5,2]=>[8,5,6,2,3,1,4,7]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[[[[[]],[],[]],[],[]]]
[1,4,3,6,7,8,5,2]=>[8,5,6,3,2,1,4,7]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[[[[[]]],[]],[],[]]]
[1,3,4,8,7,6,5,2]=>[8,6,5,1,2,3,4,7]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[[[[[],[],[],[]]],[]]]
[1,3,4,7,8,6,5,2]=>[8,6,5,2,1,3,4,7]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[[[[[[]],[],[]]],[]]]
[1,3,4,7,6,8,5,2]=>[8,6,5,2,3,1,4,7]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[[[[[[]],[],[]]],[]]]
[1,3,4,6,7,8,5,2]=>[8,6,5,3,2,1,4,7]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[[[[[[]]],[]]],[]]]
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[1,3,5,4,8,7,6,2]=>[8,6,4,5,1,2,3,7]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[[[[[],[],[]],[]],[]]]
[1,4,3,5,8,7,6,2]=>[8,5,6,4,1,2,3,7]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[[[[[],[],[]]],[],[]]]
[1,4,3,5,7,8,6,2]=>[8,5,6,4,2,1,3,7]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[[[[[[]],[]]],[],[]]]
[1,3,4,5,8,7,6,2]=>[8,6,5,4,1,2,3,7]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>[[[[[[],[],[]]]],[]]]
[1,3,4,5,7,8,6,2]=>[8,6,5,4,2,1,3,7]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[[[[[[[]],[]]]],[]]]
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[1,3,5,4,6,8,7,2]=>[8,6,4,5,3,1,2,7]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[[[[[[],[]]],[]],[]]]
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[1,3,4,7,6,5,8,2]=>[8,6,5,2,3,4,1,7]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[[[[[[]],[],[]]],[]]]
[1,3,4,6,7,5,8,2]=>[8,6,5,3,2,4,1,7]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[[[[[[]]],[]]],[]]]
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[1,3,4,5,7,6,8,2]=>[8,6,5,4,2,3,1,7]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[[[[[[[]],[]]]],[]]]
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[1,3,4,6,5,7,8,2]=>[8,6,5,3,4,2,1,7]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[[[[[[]]],[]]],[]]]
[1,5,4,3,6,7,8,2]=>[8,4,5,6,3,2,1,7]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[[[[[[]]]],[],[],[]]]
[1,3,5,4,6,7,8,2]=>[8,6,4,5,3,2,1,7]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[[[[[[]]]],[]],[]]]
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[1,3,4,5,6,7,8,2]=>[8,6,5,4,3,2,1,7]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[[[[[[[[]]]]]],[]]]
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[2,1,6,8,7,5,4,3]=>[7,8,3,1,2,4,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[],[],[]],[]]
[2,1,7,6,8,5,4,3]=>[7,8,2,3,1,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[[[[]],[],[],[],[]],[]]
[2,1,6,7,8,5,4,3]=>[7,8,3,2,1,4,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]
[2,1,5,8,7,6,4,3]=>[7,8,4,1,2,3,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[[[[],[],[]],[],[]],[]]
[2,1,5,7,8,6,4,3]=>[7,8,4,2,1,3,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[2,1,6,5,8,7,4,3]=>[7,8,3,4,1,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[],[],[]],[]]
[2,1,5,6,8,7,4,3]=>[7,8,4,3,1,2,5,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[[[[[],[]]],[],[]],[]]
[2,1,7,6,5,8,4,3]=>[7,8,2,3,4,1,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[[[[]],[],[],[],[]],[]]
[2,1,6,7,5,8,4,3]=>[7,8,3,2,4,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]
[2,1,5,7,6,8,4,3]=>[7,8,4,2,3,1,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[2,1,6,5,7,8,4,3]=>[7,8,3,4,2,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]
[2,1,5,6,7,8,4,3]=>[7,8,4,3,2,1,5,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[2,1,4,8,7,6,5,3]=>[7,8,5,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[],[],[],[]],[]],[]]
[2,1,4,7,8,6,5,3]=>[7,8,5,2,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]
[2,1,4,6,8,7,5,3]=>[7,8,5,3,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,1,4,6,7,8,5,3]=>[7,8,5,3,2,1,4,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,1,5,4,8,7,6,3]=>[7,8,4,5,1,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[[[[],[],[]],[],[]],[]]
[2,1,4,5,8,7,6,3]=>[7,8,5,4,1,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[[[[[],[],[]]],[]],[]]
[2,1,4,5,7,8,6,3]=>[7,8,5,4,2,1,3,6]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,1,6,5,4,8,7,3]=>[7,8,3,4,5,1,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[],[],[]],[]]
[2,1,4,5,6,8,7,3]=>[7,8,5,4,3,1,2,6]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[2,1,7,6,5,4,8,3]=>[7,8,2,3,4,5,1,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[[[[]],[],[],[],[]],[]]
[2,1,6,5,7,4,8,3]=>[7,8,3,4,2,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]
[2,1,5,6,7,4,8,3]=>[7,8,4,3,2,5,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[2,1,4,7,6,5,8,3]=>[7,8,5,2,3,4,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]
[2,1,5,4,7,6,8,3]=>[7,8,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[2,1,6,5,4,7,8,3]=>[7,8,3,4,5,2,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]
[2,1,5,4,6,7,8,3]=>[7,8,4,5,3,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[2,1,4,5,6,7,8,3]=>[7,8,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>[[[[],[],[],[],[],[]]]]
[1,2,7,8,6,5,4,3]=>[8,7,2,1,3,4,5,6]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[[[[[]],[],[],[],[]]]]
[1,2,7,6,8,5,4,3]=>[8,7,2,3,1,4,5,6]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[[[[[]],[],[],[],[]]]]
[1,2,6,7,8,5,4,3]=>[8,7,3,2,1,4,5,6]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[[[[[[]]],[],[],[]]]]
[1,2,5,8,7,6,4,3]=>[8,7,4,1,2,3,5,6]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>[[[[[],[],[]],[],[]]]]
[1,2,5,7,8,6,4,3]=>[8,7,4,2,1,3,5,6]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>[[[[[[]],[]],[],[]]]]
[1,2,6,5,8,7,4,3]=>[8,7,3,4,1,2,5,6]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>[[[[[],[]],[],[],[]]]]
[1,2,7,6,5,8,4,3]=>[8,7,2,3,4,1,5,6]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[[[[[]],[],[],[],[]]]]
[1,2,6,7,5,8,4,3]=>[8,7,3,2,4,1,5,6]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[[[[[[]]],[],[],[]]]]
[1,2,6,5,7,8,4,3]=>[8,7,3,4,2,1,5,6]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[[[[[[]]],[],[],[]]]]
[1,2,5,6,7,8,4,3]=>[8,7,4,3,2,1,5,6]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[[[[[[[]]]],[],[]]]]
[1,2,4,8,7,6,5,3]=>[8,7,5,1,2,3,4,6]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[[[[[],[],[],[]],[]]]]
[1,2,4,7,8,6,5,3]=>[8,7,5,2,1,3,4,6]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[[[[[[]],[],[]],[]]]]
[1,2,4,6,8,7,5,3]=>[8,7,5,3,1,2,4,6]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[[[[[[],[]],[]],[]]]]
[1,2,4,6,7,8,5,3]=>[8,7,5,3,2,1,4,6]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[]]],[]],[]]]]
[1,2,5,4,8,7,6,3]=>[8,7,4,5,1,2,3,6]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>[[[[[],[],[]],[],[]]]]
[1,2,4,5,8,7,6,3]=>[8,7,5,4,1,2,3,6]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>[[[[[[],[],[]]],[]]]]
[1,2,6,5,4,8,7,3]=>[8,7,3,4,5,1,2,6]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>[[[[[],[]],[],[],[]]]]
[1,2,4,6,5,8,7,3]=>[8,7,5,3,4,1,2,6]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[[[[[[],[]],[]],[]]]]
[1,2,4,5,6,8,7,3]=>[8,7,5,4,3,1,2,6]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[[[[[[[],[]]]],[]]]]
[1,2,7,6,5,4,8,3]=>[8,7,2,3,4,5,1,6]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[[[[[]],[],[],[],[]]]]
[1,2,6,5,7,4,8,3]=>[8,7,3,4,2,5,1,6]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[[[[[[]]],[],[],[]]]]
[1,2,5,6,7,4,8,3]=>[8,7,4,3,2,5,1,6]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[[[[[[[]]]],[],[]]]]
[1,2,4,6,7,5,8,3]=>[8,7,5,3,2,4,1,6]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[]]],[]],[]]]]
[1,2,5,4,7,6,8,3]=>[8,7,4,5,2,3,1,6]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>[[[[[[]],[]],[],[]]]]
[1,2,6,5,4,7,8,3]=>[8,7,3,4,5,2,1,6]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[[[[[[]]],[],[],[]]]]
[1,2,4,6,5,7,8,3]=>[8,7,5,3,4,2,1,6]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[]]],[]],[]]]]
[1,2,5,4,6,7,8,3]=>[8,7,4,5,3,2,1,6]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[[[[[[[]]]],[],[]]]]
[1,2,4,5,6,7,8,3]=>[8,7,5,4,3,2,1,6]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[[[[[[[[]]]]],[]]]]
[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[[[],[],[],[],[]],[],[]]
[3,2,1,7,8,6,5,4]=>[6,7,8,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]
[3,2,1,6,8,7,5,4]=>[6,7,8,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]
[3,2,1,7,6,8,5,4]=>[6,7,8,2,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]
[3,2,1,6,7,8,5,4]=>[6,7,8,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,2,1,5,8,7,6,4]=>[6,7,8,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]
[3,2,1,5,7,8,6,4]=>[6,7,8,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[3,2,1,6,5,8,7,4]=>[6,7,8,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]
[3,2,1,5,6,8,7,4]=>[6,7,8,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[3,2,1,7,6,5,8,4]=>[6,7,8,2,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]
[3,2,1,6,7,5,8,4]=>[6,7,8,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,2,1,5,7,6,8,4]=>[6,7,8,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[3,2,1,6,5,7,8,4]=>[6,7,8,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,2,1,5,6,7,8,4]=>[6,7,8,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[2,3,1,8,7,6,5,4]=>[7,6,8,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[[[[],[],[],[],[]]],[]]
[2,3,1,6,8,7,5,4]=>[7,6,8,3,1,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[[[[[],[]],[],[]]],[]]
[2,3,1,7,6,8,5,4]=>[7,6,8,2,3,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[[[[[]],[],[],[]]],[]]
[2,3,1,6,7,8,5,4]=>[7,6,8,3,2,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,3,1,5,8,7,6,4]=>[7,6,8,4,1,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[[[[[],[],[]],[]]],[]]
[2,3,1,7,6,5,8,4]=>[7,6,8,2,3,4,1,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[[[[[]],[],[],[]]],[]]
[2,3,1,5,7,6,8,4]=>[7,6,8,4,2,3,1,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[2,3,1,5,6,7,8,4]=>[7,6,8,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]
[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>[[[[],[],[],[],[]],[]]]
[1,3,2,7,8,6,5,4]=>[8,6,7,2,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>[[[[[]],[],[],[]],[]]]
[1,3,2,6,8,7,5,4]=>[8,6,7,3,1,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>[[[[[],[]],[],[]],[]]]
[1,3,2,7,6,8,5,4]=>[8,6,7,2,3,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>[[[[[]],[],[],[]],[]]]
[1,3,2,6,7,8,5,4]=>[8,6,7,3,2,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[[[[[[]]],[],[]],[]]]
[1,3,2,5,7,8,6,4]=>[8,6,7,4,2,1,3,5]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[[[[[]],[]],[]],[]]]
[1,3,2,6,5,8,7,4]=>[8,6,7,3,4,1,2,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>[[[[[],[]],[],[]],[]]]
[1,3,2,7,6,5,8,4]=>[8,6,7,2,3,4,1,5]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>[[[[[]],[],[],[]],[]]]
[1,3,2,6,7,5,8,4]=>[8,6,7,3,2,4,1,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[[[[[[]]],[],[]],[]]]
[1,3,2,5,6,7,8,4]=>[8,6,7,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[[[[[[]]]],[]],[]]]
[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[[[[],[],[],[],[]]],[]]
[2,1,3,7,8,6,5,4]=>[7,8,6,2,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[[[[[]],[],[],[]]],[]]
[2,1,3,6,8,7,5,4]=>[7,8,6,3,1,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[[[[[],[]],[],[]]],[]]
[2,1,3,7,6,8,5,4]=>[7,8,6,2,3,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[[[[[]],[],[],[]]],[]]
[2,1,3,6,7,8,5,4]=>[7,8,6,3,2,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,1,3,5,8,7,6,4]=>[7,8,6,4,1,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[[[[[],[],[]],[]]],[]]
[2,1,3,5,7,8,6,4]=>[7,8,6,4,2,1,3,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[2,1,3,6,5,8,7,4]=>[7,8,6,3,4,1,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[[[[[],[]],[],[]]],[]]
[2,1,3,6,5,7,8,4]=>[7,8,6,3,4,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,1,3,5,6,7,8,4]=>[7,8,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]
[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[[[[[],[],[],[],[]]]]]
[1,2,3,7,8,6,5,4]=>[8,7,6,2,1,3,4,5]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[[[[[[]],[],[],[]]]]]
[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[[[[[[],[]],[],[]]]]]
[1,2,3,7,6,8,5,4]=>[8,7,6,2,3,1,4,5]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[[[[[[]],[],[],[]]]]]
[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[[[[[[[]]],[],[]]]]]
[1,2,3,5,8,7,6,4]=>[8,7,6,4,1,2,3,5]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[[[[[[],[],[]],[]]]]]
[1,2,3,5,7,8,6,4]=>[8,7,6,4,2,1,3,5]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[[[[[[[]],[]],[]]]]]
[1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[[[[[[],[]],[],[]]]]]
[1,2,3,5,6,8,7,4]=>[8,7,6,4,3,1,2,5]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[[[[[[[],[]]],[]]]]]
[1,2,3,7,6,5,8,4]=>[8,7,6,2,3,4,1,5]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[[[[[[]],[],[],[]]]]]
[1,2,3,6,7,5,8,4]=>[8,7,6,3,2,4,1,5]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[[[[[[[]]],[],[]]]]]
[1,2,3,5,7,6,8,4]=>[8,7,6,4,2,3,1,5]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[[[[[[[]],[]],[]]]]]
[1,2,3,6,5,7,8,4]=>[8,7,6,3,4,2,1,5]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[[[[[[[]]],[],[]]]]]
[1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[[[[[[[[]]]],[]]]]]
[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[[[],[],[],[]],[],[],[]]
[4,3,2,1,7,8,6,5]=>[5,6,7,8,2,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[4,3,2,1,6,8,7,5]=>[5,6,7,8,3,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]
[4,3,2,1,7,6,8,5]=>[5,6,7,8,2,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[4,3,2,1,6,7,8,5]=>[5,6,7,8,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[3,4,2,1,8,7,6,5]=>[6,5,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[[[[],[],[],[]]],[],[]]
[3,4,2,1,7,8,6,5]=>[6,5,7,8,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[3,4,2,1,6,8,7,5]=>[6,5,7,8,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[[[[[],[]],[]]],[],[]]
[3,4,2,1,7,6,8,5]=>[6,5,7,8,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[3,4,2,1,6,7,8,5]=>[6,5,7,8,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[2,4,3,1,8,7,6,5]=>[7,5,6,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[],[],[],[]],[]],[]]
[2,4,3,1,7,8,6,5]=>[7,5,6,8,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]
[2,4,3,1,6,8,7,5]=>[7,5,6,8,3,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,4,3,1,7,6,8,5]=>[7,5,6,8,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]
[2,4,3,1,6,7,8,5]=>[7,5,6,8,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[3,2,4,1,8,7,6,5]=>[6,7,5,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[[[[],[],[],[]]],[],[]]
[3,2,4,1,7,8,6,5]=>[6,7,5,8,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[3,2,4,1,6,8,7,5]=>[6,7,5,8,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[[[[[],[]],[]]],[],[]]
[3,2,4,1,7,6,8,5]=>[6,7,5,8,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[3,2,4,1,6,7,8,5]=>[6,7,5,8,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[2,3,4,1,8,7,6,5]=>[7,6,5,8,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[[[[[],[],[],[]]]],[]]
[2,3,4,1,7,8,6,5]=>[7,6,5,8,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[[[[[]],[],[]]]],[]]
[2,3,4,1,6,8,7,5]=>[7,6,5,8,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[[[[[[],[]],[]]]],[]]
[2,3,4,1,7,6,8,5]=>[7,6,5,8,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[[[[[]],[],[]]]],[]]
[2,3,4,1,6,7,8,5]=>[7,6,5,8,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[[[[[[]]],[]]]],[]]
[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[[[[],[],[],[]],[],[]]]
[1,4,3,2,7,8,6,5]=>[8,5,6,7,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[[[[[]],[],[]],[],[]]]
[1,4,3,2,7,6,8,5]=>[8,5,6,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[[[[[]],[],[]],[],[]]]
[1,4,3,2,6,7,8,5]=>[8,5,6,7,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[[[[[]]],[]],[],[]]]
[1,3,4,2,8,7,6,5]=>[8,6,5,7,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[[[[[],[],[],[]]],[]]]
[1,3,4,2,7,8,6,5]=>[8,6,5,7,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[[[[[[]],[],[]]],[]]]
[1,3,4,2,6,8,7,5]=>[8,6,5,7,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>[[[[[[],[]],[]]],[]]]
[1,3,4,2,7,6,8,5]=>[8,6,5,7,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[[[[[[]],[],[]]],[]]]
[1,3,4,2,6,7,8,5]=>[8,6,5,7,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[[[[[[]]],[]]],[]]]
[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[],[],[],[]],[]],[]]
[2,1,4,3,7,8,6,5]=>[7,8,5,6,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]
[2,1,4,3,6,8,7,5]=>[7,8,5,6,3,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,1,4,3,7,6,8,5]=>[7,8,5,6,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]
[2,1,4,3,6,7,8,5]=>[7,8,5,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[[[[[],[],[],[]],[]]]]
[1,2,4,3,7,8,6,5]=>[8,7,5,6,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[[[[[[]],[],[]],[]]]]
[1,2,4,3,6,8,7,5]=>[8,7,5,6,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[[[[[[],[]],[]],[]]]]
[1,2,4,3,7,6,8,5]=>[8,7,5,6,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[[[[[[]],[],[]],[]]]]
[1,2,4,3,6,7,8,5]=>[8,7,5,6,3,2,1,4]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[]]],[]],[]]]]
[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[[[[],[],[],[]]],[],[]]
[3,2,1,4,7,8,6,5]=>[6,7,8,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[3,2,1,4,7,6,8,5]=>[6,7,8,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[3,2,1,4,6,7,8,5]=>[6,7,8,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[2,3,1,4,8,7,6,5]=>[7,6,8,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[[[[[],[],[],[]]]],[]]
[2,3,1,4,7,8,6,5]=>[7,6,8,5,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[[[[[]],[],[]]]],[]]
[2,3,1,4,6,8,7,5]=>[7,6,8,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[[[[[[],[]],[]]]],[]]
[2,3,1,4,7,6,8,5]=>[7,6,8,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[[[[[]],[],[]]]],[]]
[2,3,1,4,6,7,8,5]=>[7,6,8,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[[[[[[]]],[]]]],[]]
[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[[[[[],[],[],[]]],[]]]
[1,3,2,4,6,8,7,5]=>[8,6,7,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>[[[[[[],[]],[]]],[]]]
[1,3,2,4,7,6,8,5]=>[8,6,7,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[[[[[[]],[],[]]],[]]]
[1,3,2,4,6,7,8,5]=>[8,6,7,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[[[[[[]]],[]]],[]]]
[2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[[[[[],[],[],[]]]],[]]
[2,1,3,4,7,8,6,5]=>[7,8,6,5,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[[[[[]],[],[]]]],[]]
[2,1,3,4,6,8,7,5]=>[7,8,6,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[[[[[[],[]],[]]]],[]]
[2,1,3,4,7,6,8,5]=>[7,8,6,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[[[[[]],[],[]]]],[]]
[2,1,3,4,6,7,8,5]=>[7,8,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[[[[[[]]],[]]]],[]]
[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[[[[[[],[],[],[]]]]]]
[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[[[[[[[]],[],[]]]]]]
[1,2,3,4,6,8,7,5]=>[8,7,6,5,3,1,2,4]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[[[[[[[],[]],[]]]]]]
[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[[[[[[[]],[],[]]]]]]
[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[[[[[[[[]]],[]]]]]]
[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[[[],[],[]],[],[],[],[]]
[5,4,3,2,1,7,8,6]=>[4,5,6,7,8,2,1,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[4,5,3,2,1,8,7,6]=>[5,4,6,7,8,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[[[[],[],[]]],[],[],[]]
[4,5,3,2,1,7,8,6]=>[5,4,6,7,8,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[3,5,4,2,1,8,7,6]=>[6,4,5,7,8,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]
[4,3,5,2,1,8,7,6]=>[5,6,4,7,8,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[[[[],[],[]]],[],[],[]]
[3,4,5,2,1,8,7,6]=>[6,5,4,7,8,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[[[[[],[],[]]]],[],[]]
[2,5,4,3,1,8,7,6]=>[7,4,5,6,8,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[[[[],[],[]],[],[]],[]]
[2,5,4,3,1,7,8,6]=>[7,4,5,6,8,2,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[2,4,5,3,1,8,7,6]=>[7,5,4,6,8,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[[[[[],[],[]]],[]],[]]
[2,4,5,3,1,7,8,6]=>[7,5,4,6,8,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[3,2,5,4,1,8,7,6]=>[6,7,4,5,8,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]
[2,3,5,4,1,8,7,6]=>[7,6,4,5,8,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[[[[[],[],[]],[]]],[]]
[2,3,5,4,1,7,8,6]=>[7,6,4,5,8,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[4,3,2,5,1,8,7,6]=>[5,6,7,4,8,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[[[[],[],[]]],[],[],[]]
[4,3,2,5,1,7,8,6]=>[5,6,7,4,8,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[3,4,2,5,1,8,7,6]=>[6,5,7,4,8,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[[[[[],[],[]]]],[],[]]
[3,4,2,5,1,7,8,6]=>[6,5,7,4,8,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]
[2,4,3,5,1,8,7,6]=>[7,5,6,4,8,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[[[[[],[],[]]],[]],[]]
[3,2,4,5,1,8,7,6]=>[6,7,5,4,8,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[[[[[],[],[]]]],[],[]]
[3,2,4,5,1,7,8,6]=>[6,7,5,4,8,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]
[2,3,4,5,1,8,7,6]=>[7,6,5,4,8,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[[[[[[],[],[]]]]],[]]
[2,3,4,5,1,7,8,6]=>[7,6,5,4,8,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[[[[[[]],[]]]]],[]]
[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>[[[[],[],[]],[],[],[]]]
[1,5,4,3,2,7,8,6]=>[8,4,5,6,7,2,1,3]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[[[[[]],[]],[],[],[]]]
[1,4,5,3,2,8,7,6]=>[8,5,4,6,7,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[[[[[],[],[]]],[],[]]]
[1,3,5,4,2,8,7,6]=>[8,6,4,5,7,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[[[[[],[],[]],[]],[]]]
[1,4,3,5,2,8,7,6]=>[8,5,6,4,7,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[[[[[],[],[]]],[],[]]]
[1,3,4,5,2,8,7,6]=>[8,6,5,4,7,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>[[[[[[],[],[]]]],[]]]
[2,1,5,4,3,8,7,6]=>[7,8,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[[[[],[],[]],[],[]],[]]
[2,1,4,5,3,8,7,6]=>[7,8,5,4,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[[[[[],[],[]]],[]],[]]
[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>[[[[[],[],[]],[],[]]]]
[1,2,4,5,3,8,7,6]=>[8,7,5,4,6,1,2,3]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>[[[[[[],[],[]]],[]]]]
[3,2,1,5,4,8,7,6]=>[6,7,8,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]
[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[[[[[],[],[]],[]],[]]]
[1,2,3,5,4,8,7,6]=>[8,7,6,4,5,1,2,3]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[[[[[[],[],[]],[]]]]]
[1,2,3,5,4,7,8,6]=>[8,7,6,4,5,2,1,3]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[[[[[[[]],[]],[]]]]]
[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[[[[],[],[]]],[],[],[]]
[4,3,2,1,5,7,8,6]=>[5,6,7,8,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[3,4,2,1,5,8,7,6]=>[6,5,7,8,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[[[[[],[],[]]]],[],[]]
[3,4,2,1,5,7,8,6]=>[6,5,7,8,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]
[2,4,3,1,5,8,7,6]=>[7,5,6,8,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[[[[[],[],[]]],[]],[]]
[2,4,3,1,5,7,8,6]=>[7,5,6,8,4,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[3,2,4,1,5,8,7,6]=>[6,7,5,8,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[[[[[],[],[]]]],[],[]]
[3,2,4,1,5,7,8,6]=>[6,7,5,8,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]
[2,3,4,1,5,8,7,6]=>[7,6,5,8,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[[[[[[],[],[]]]]],[]]
[2,3,4,1,5,7,8,6]=>[7,6,5,8,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[[[[[[]],[]]]]],[]]
[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[[[[[],[],[]]],[],[]]]
[1,3,4,2,5,8,7,6]=>[8,6,5,7,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>[[[[[[],[],[]]]],[]]]
[2,1,4,3,5,8,7,6]=>[7,8,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[[[[[],[],[]]],[]],[]]
[2,1,4,3,5,7,8,6]=>[7,8,5,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[1,2,4,3,5,7,8,6]=>[8,7,5,6,4,2,1,3]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[[[[[[[]],[]]],[]]]]
[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[[[[[],[],[]]]],[],[]]
[3,2,1,4,5,7,8,6]=>[6,7,8,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]
[2,3,1,4,5,8,7,6]=>[7,6,8,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[[[[[[],[],[]]]]],[]]
[2,3,1,4,5,7,8,6]=>[7,6,8,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[[[[[[]],[]]]]],[]]
[1,3,2,4,5,7,8,6]=>[8,6,7,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[[[[[[[]],[]]]],[]]]
[2,1,3,4,5,8,7,6]=>[7,8,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[[[[[[],[],[]]]]],[]]
[2,1,3,4,5,7,8,6]=>[7,8,6,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[[[[[[]],[]]]]],[]]
[1,2,3,4,5,8,7,6]=>[8,7,6,5,4,1,2,3]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[[[[[[[],[],[]]]]]]]
[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[[[[[[[[]],[]]]]]]]
[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[[[],[]],[],[],[],[],[]]
[5,6,4,3,2,1,8,7]=>[4,3,5,6,7,8,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[[[[],[]]],[],[],[],[]]
[4,6,5,3,2,1,8,7]=>[5,3,4,6,7,8,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]
[5,4,6,3,2,1,8,7]=>[4,5,3,6,7,8,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[[[[],[]]],[],[],[],[]]
[4,5,6,3,2,1,8,7]=>[5,4,3,6,7,8,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[[[],[]]]],[],[],[]]
[3,6,5,4,2,1,8,7]=>[6,3,4,5,7,8,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]
[3,5,6,4,2,1,8,7]=>[6,4,3,5,7,8,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[4,3,6,5,2,1,8,7]=>[5,6,3,4,7,8,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]
[5,4,3,6,2,1,8,7]=>[4,5,6,3,7,8,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[[[[],[]]],[],[],[],[]]
[4,5,3,6,2,1,8,7]=>[5,4,6,3,7,8,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[[[],[]]]],[],[],[]]
[4,3,5,6,2,1,8,7]=>[5,6,4,3,7,8,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[[[],[]]]],[],[],[]]
[3,4,5,6,2,1,8,7]=>[6,5,4,3,7,8,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[[[[[[],[]]]]],[],[]]
[2,6,5,4,3,1,8,7]=>[7,3,4,5,6,8,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[],[],[]],[]]
[2,4,6,5,3,1,8,7]=>[7,5,3,4,6,8,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,5,4,6,3,1,8,7]=>[7,4,5,3,6,8,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[[[[[],[]]],[],[]],[]]
[2,4,5,6,3,1,8,7]=>[7,5,4,3,6,8,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[2,3,6,5,4,1,8,7]=>[7,6,3,4,5,8,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[[[[[],[]],[],[]]],[]]
[2,3,5,6,4,1,8,7]=>[7,6,4,3,5,8,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[[[[[[],[]]],[]]],[]]
[2,3,4,6,5,1,8,7]=>[7,6,5,3,4,8,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[[[[[[],[]],[]]]],[]]
[5,4,3,2,6,1,8,7]=>[4,5,6,7,3,8,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[[[[],[]]],[],[],[],[]]
[3,5,4,2,6,1,8,7]=>[6,4,5,7,3,8,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[4,3,5,2,6,1,8,7]=>[5,6,4,7,3,8,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[[[],[]]]],[],[],[]]
[3,4,5,2,6,1,8,7]=>[6,5,4,7,3,8,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[[[[[[],[]]]]],[],[]]
[2,4,5,3,6,1,8,7]=>[7,5,4,6,3,8,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[3,2,5,4,6,1,8,7]=>[6,7,4,5,3,8,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[4,3,2,5,6,1,8,7]=>[5,6,7,4,3,8,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[[[],[]]]],[],[],[]]
[2,4,3,5,6,1,8,7]=>[7,5,6,4,3,8,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[2,3,4,5,6,1,8,7]=>[7,6,5,4,3,8,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[[[[[[[],[]]]]]],[]]
[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[[[[],[]],[],[],[],[]]]
[1,5,6,4,3,2,8,7]=>[8,4,3,5,6,7,1,2]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[[[[[],[]]],[],[],[]]]
[1,4,6,5,3,2,8,7]=>[8,5,3,4,6,7,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[[[[[],[]],[]],[],[]]]
[1,4,5,6,3,2,8,7]=>[8,5,4,3,6,7,1,2]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>[[[[[[],[]]]],[],[]]]
[1,4,5,3,6,2,8,7]=>[8,5,4,6,3,7,1,2]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>[[[[[[],[]]]],[],[]]]
[1,3,4,5,6,2,8,7]=>[8,6,5,4,3,7,1,2]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>[[[[[[[],[]]]]],[]]]
[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[],[],[]],[]]
[2,1,5,6,4,3,8,7]=>[7,8,4,3,5,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[[[[[],[]]],[],[]],[]]
[2,1,4,6,5,3,8,7]=>[7,8,5,3,4,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,1,5,4,6,3,8,7]=>[7,8,4,5,3,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[[[[[],[]]],[],[]],[]]
[2,1,4,5,6,3,8,7]=>[7,8,5,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[1,2,6,5,4,3,8,7]=>[8,7,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>[[[[[],[]],[],[],[]]]]
[1,2,5,6,4,3,8,7]=>[8,7,4,3,5,6,1,2]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>[[[[[[],[]]],[],[]]]]
[1,2,5,4,6,3,8,7]=>[8,7,4,5,3,6,1,2]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>[[[[[[],[]]],[],[]]]]
[3,2,1,5,6,4,8,7]=>[6,7,8,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[1,3,2,6,5,4,8,7]=>[8,6,7,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>[[[[[],[]],[],[]],[]]]
[2,1,3,6,5,4,8,7]=>[7,8,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[[[[[],[]],[],[]]],[]]
[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[[[[[[],[]],[],[]]]]]
[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]
[3,4,2,1,6,5,8,7]=>[6,5,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[[[[[],[]],[]]],[],[]]
[2,4,3,1,6,5,8,7]=>[7,5,6,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[3,2,4,1,6,5,8,7]=>[6,7,5,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[[[[[],[]],[]]],[],[]]
[2,3,4,1,6,5,8,7]=>[7,6,5,8,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[[[[[[],[]],[]]]],[]]
[1,4,3,2,6,5,8,7]=>[8,5,6,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[[[[[],[]],[]],[],[]]]
[1,3,4,2,6,5,8,7]=>[8,6,5,7,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>[[[[[[],[]],[]]],[]]]
[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[1,2,4,3,6,5,8,7]=>[8,7,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[[[[[[],[]],[]],[]]]]
[3,2,1,4,6,5,8,7]=>[6,7,8,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[[[[[],[]],[]]],[],[]]
[2,3,1,4,6,5,8,7]=>[7,6,8,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[[[[[[],[]],[]]]],[]]
[2,1,3,4,6,5,8,7]=>[7,8,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[[[[[[],[]],[]]]],[]]
[1,2,3,4,6,5,8,7]=>[8,7,6,5,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[[[[[[[],[]],[]]]]]]
[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[[[[],[]]],[],[],[],[]]
[4,5,3,2,1,6,8,7]=>[5,4,6,7,8,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[[[],[]]]],[],[],[]]
[4,3,5,2,1,6,8,7]=>[5,6,4,7,8,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[[[],[]]]],[],[],[]]
[3,4,5,2,1,6,8,7]=>[6,5,4,7,8,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[[[[[[],[]]]]],[],[]]
[3,2,5,4,1,6,8,7]=>[6,7,4,5,8,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[2,3,5,4,1,6,8,7]=>[7,6,4,5,8,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[[[[[[],[]]],[]]],[]]
[3,4,2,5,1,6,8,7]=>[6,5,7,4,8,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[[[[[[],[]]]]],[],[]]
[2,4,3,5,1,6,8,7]=>[7,5,6,4,8,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[2,3,4,5,1,6,8,7]=>[7,6,5,4,8,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[[[[[[[],[]]]]]],[]]
[1,4,5,3,2,6,8,7]=>[8,5,4,6,7,3,1,2]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>[[[[[[],[]]]],[],[]]]
[1,3,5,4,2,6,8,7]=>[8,6,4,5,7,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[[[[[[],[]]],[]],[]]]
[1,4,3,5,2,6,8,7]=>[8,5,6,4,7,3,1,2]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>[[[[[[],[]]]],[],[]]]
[2,1,5,4,3,6,8,7]=>[7,8,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[[[[[],[]]],[],[]],[]]
[1,2,4,5,3,6,8,7]=>[8,7,5,4,6,3,1,2]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[[[[[[[],[]]]],[]]]]
[3,2,1,5,4,6,8,7]=>[6,7,8,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[1,3,2,5,4,6,8,7]=>[8,6,7,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[[[[[[],[]]],[]],[]]]
[2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[[[[[[],[]]],[]]],[]]
[1,2,3,5,4,6,8,7]=>[8,7,6,4,5,3,1,2]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[[[[[[[],[]]],[]]]]]
[4,3,2,1,5,6,8,7]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[[[],[]]]],[],[],[]]
[3,4,2,1,5,6,8,7]=>[6,5,7,8,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[[[[[[],[]]]]],[],[]]
[2,4,3,1,5,6,8,7]=>[7,5,6,8,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[3,2,4,1,5,6,8,7]=>[6,7,5,8,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[[[[[[],[]]]]],[],[]]
[2,3,4,1,5,6,8,7]=>[7,6,5,8,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[[[[[[[],[]]]]]],[]]
[1,3,4,2,5,6,8,7]=>[8,6,5,7,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>[[[[[[[],[]]]]],[]]]
[2,1,4,3,5,6,8,7]=>[7,8,5,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[1,2,4,3,5,6,8,7]=>[8,7,5,6,4,3,1,2]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[[[[[[[],[]]]],[]]]]
[3,2,1,4,5,6,8,7]=>[6,7,8,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[[[[[[],[]]]]],[],[]]
[2,3,1,4,5,6,8,7]=>[7,6,8,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[[[[[[[],[]]]]]],[]]
[1,3,2,4,5,6,8,7]=>[8,6,7,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>[[[[[[[],[]]]]],[]]]
[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[[[[[[[],[]]]]]],[]]
[1,2,3,4,5,6,8,7]=>[8,7,6,5,4,3,1,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]=>[[[[[[[[],[]]]]]]]]
[5,7,6,4,3,2,1,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[4,7,6,5,3,2,1,8]=>[5,2,3,4,6,7,8,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[4,6,7,5,3,2,1,8]=>[5,3,2,4,6,7,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[5,4,7,6,3,2,1,8]=>[4,5,2,3,6,7,8,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[4,5,7,6,3,2,1,8]=>[5,4,2,3,6,7,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[4,6,5,7,3,2,1,8]=>[5,3,4,2,6,7,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[3,7,6,5,4,2,1,8]=>[6,2,3,4,5,7,8,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]
[3,4,7,6,5,2,1,8]=>[6,5,2,3,4,7,8,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[3,4,6,7,5,2,1,8]=>[6,5,3,2,4,7,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[5,4,3,7,6,2,1,8]=>[4,5,6,2,3,7,8,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[3,5,4,7,6,2,1,8]=>[6,4,5,2,3,7,8,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[3,4,5,7,6,2,1,8]=>[6,5,4,2,3,7,8,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]
[3,6,5,4,7,2,1,8]=>[6,3,4,5,2,7,8,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,4,6,5,7,2,1,8]=>[6,5,3,4,2,7,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[2,7,6,5,4,3,1,8]=>[7,2,3,4,5,6,8,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[[[[]],[],[],[],[]],[]]
[2,6,7,5,4,3,1,8]=>[7,3,2,4,5,6,8,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]
[2,4,7,6,5,3,1,8]=>[7,5,2,3,4,6,8,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]
[2,4,6,7,5,3,1,8]=>[7,5,3,2,4,6,8,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,5,4,7,6,3,1,8]=>[7,4,5,2,3,6,8,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[2,4,5,7,6,3,1,8]=>[7,5,4,2,3,6,8,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,5,6,4,7,3,1,8]=>[7,4,3,5,2,6,8,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[2,4,5,6,7,3,1,8]=>[7,5,4,3,2,6,8,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[3,2,7,6,5,4,1,8]=>[6,7,2,3,4,5,8,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]
[3,2,6,7,5,4,1,8]=>[6,7,3,2,4,5,8,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,2,5,6,7,4,1,8]=>[6,7,4,3,2,5,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[2,3,7,6,5,4,1,8]=>[7,6,2,3,4,5,8,1]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[[[[[]],[],[],[]]],[]]
[2,3,6,7,5,4,1,8]=>[7,6,3,2,4,5,8,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,3,5,7,6,4,1,8]=>[7,6,4,2,3,5,8,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[4,3,2,7,6,5,1,8]=>[5,6,7,2,3,4,8,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[3,4,2,6,7,5,1,8]=>[6,5,7,3,2,4,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[2,4,3,7,6,5,1,8]=>[7,5,6,2,3,4,8,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]
[3,2,4,6,7,5,1,8]=>[6,7,5,3,2,4,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[2,3,4,7,6,5,1,8]=>[7,6,5,2,3,4,8,1]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[[[[[]],[],[]]]],[]]
[2,3,4,6,7,5,1,8]=>[7,6,5,3,2,4,8,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[[[[[[]]],[]]]],[]]
[5,4,3,2,7,6,1,8]=>[4,5,6,7,2,3,8,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[4,5,3,2,7,6,1,8]=>[5,4,6,7,2,3,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[4,3,5,2,7,6,1,8]=>[5,6,4,7,2,3,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[3,4,5,2,7,6,1,8]=>[6,5,4,7,2,3,8,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]
[2,5,4,3,7,6,1,8]=>[7,4,5,6,2,3,8,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[2,4,5,3,7,6,1,8]=>[7,5,4,6,2,3,8,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[3,2,5,4,7,6,1,8]=>[6,7,4,5,2,3,8,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[2,3,5,4,7,6,1,8]=>[7,6,4,5,2,3,8,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[4,3,2,5,7,6,1,8]=>[5,6,7,4,2,3,8,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[3,4,2,5,7,6,1,8]=>[6,5,7,4,2,3,8,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]
[2,4,3,5,7,6,1,8]=>[7,5,6,4,2,3,8,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[3,2,4,5,7,6,1,8]=>[6,7,5,4,2,3,8,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]
[2,3,4,5,7,6,1,8]=>[7,6,5,4,2,3,8,1]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[[[[[[]],[]]]]],[]]
[3,6,5,4,2,7,1,8]=>[6,3,4,5,7,2,8,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,5,6,4,2,7,1,8]=>[6,4,3,5,7,2,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[4,3,6,5,2,7,1,8]=>[5,6,3,4,7,2,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[3,4,6,5,2,7,1,8]=>[6,5,3,4,7,2,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[3,5,4,6,2,7,1,8]=>[6,4,5,3,7,2,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[2,6,5,4,3,7,1,8]=>[7,3,4,5,6,2,8,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]
[2,4,6,5,3,7,1,8]=>[7,5,3,4,6,2,8,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,5,4,6,3,7,1,8]=>[7,4,5,3,6,2,8,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[2,4,5,6,3,7,1,8]=>[7,5,4,3,6,2,8,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[2,3,6,5,4,7,1,8]=>[7,6,3,4,5,2,8,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,3,5,6,4,7,1,8]=>[7,6,4,3,5,2,8,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]
[3,4,2,6,5,7,1,8]=>[6,5,7,3,4,2,8,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[2,4,3,6,5,7,1,8]=>[7,5,6,3,4,2,8,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,3,4,6,5,7,1,8]=>[7,6,5,3,4,2,8,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[[[[[[]]],[]]]],[]]
[3,5,4,2,6,7,1,8]=>[6,4,5,7,3,2,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[2,5,4,3,6,7,1,8]=>[7,4,5,6,3,2,8,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[3,2,5,4,6,7,1,8]=>[6,7,4,5,3,2,8,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[2,3,5,4,6,7,1,8]=>[7,6,4,5,3,2,8,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]
[2,4,3,5,6,7,1,8]=>[7,5,6,4,3,2,8,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[[[[]],[],[],[],[],[]]]
[1,6,7,5,4,3,2,8]=>[8,3,2,4,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[[[[[]]],[],[],[],[]]]
[1,5,7,6,4,3,2,8]=>[8,4,2,3,5,6,7,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[[[[[]],[]],[],[],[]]]
[1,6,5,7,4,3,2,8]=>[8,3,4,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[[[[[]]],[],[],[],[]]]
[1,5,6,7,4,3,2,8]=>[8,4,3,2,5,6,7,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[[[[[[]]]],[],[],[]]]
[1,5,4,7,6,3,2,8]=>[8,4,5,2,3,6,7,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[[[[[]],[]],[],[],[]]]
[1,4,5,7,6,3,2,8]=>[8,5,4,2,3,6,7,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[[[[[[]],[]]],[],[]]]
[1,6,5,4,7,3,2,8]=>[8,3,4,5,2,6,7,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[[[[[]]],[],[],[],[]]]
[1,4,6,5,7,3,2,8]=>[8,5,3,4,2,6,7,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[[[[[]]],[]],[],[]]]
[1,5,4,6,7,3,2,8]=>[8,4,5,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[[[[[[]]]],[],[],[]]]
[1,4,5,6,7,3,2,8]=>[8,5,4,3,2,6,7,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[[[[[[[]]]]],[],[]]]
[1,3,7,6,5,4,2,8]=>[8,6,2,3,4,5,7,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>[[[[[]],[],[],[]],[]]]
[1,3,5,7,6,4,2,8]=>[8,6,4,2,3,5,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[[[[[]],[]],[]],[]]]
[1,3,5,6,7,4,2,8]=>[8,6,4,3,2,5,7,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[[[[[[]]]],[]],[]]]
[1,3,4,6,7,5,2,8]=>[8,6,5,3,2,4,7,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[[[[[[]]],[]]],[]]]
[1,3,4,5,7,6,2,8]=>[8,6,5,4,2,3,7,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[[[[[[[]],[]]]],[]]]
[1,6,5,4,3,7,2,8]=>[8,3,4,5,6,2,7,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[[[[[]]],[],[],[],[]]]
[1,5,6,4,3,7,2,8]=>[8,4,3,5,6,2,7,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[[[[[[]]]],[],[],[]]]
[1,5,4,6,3,7,2,8]=>[8,4,5,3,6,2,7,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[[[[[[]]]],[],[],[]]]
[1,4,5,6,3,7,2,8]=>[8,5,4,3,6,2,7,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[[[[[[[]]]]],[],[]]]
[1,3,6,5,4,7,2,8]=>[8,6,3,4,5,2,7,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[[[[[[]]],[],[]],[]]]
[1,3,5,6,4,7,2,8]=>[8,6,4,3,5,2,7,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[[[[[[]]]],[]],[]]]
[1,4,3,6,5,7,2,8]=>[8,5,6,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[[[[[]]],[]],[],[]]]
[1,3,4,6,5,7,2,8]=>[8,6,5,3,4,2,7,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[[[[[[]]],[]]],[]]]
[1,4,5,3,6,7,2,8]=>[8,5,4,6,3,2,7,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[[[[[[[]]]]],[],[]]]
[1,3,5,4,6,7,2,8]=>[8,6,4,5,3,2,7,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[[[[[[]]]],[]],[]]]
[1,4,3,5,6,7,2,8]=>[8,5,6,4,3,2,7,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[[[[[[[]]]]],[],[]]]
[1,3,4,5,6,7,2,8]=>[8,6,5,4,3,2,7,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[[[[[[[[]]]]]],[]]]
[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[[[[]],[],[],[],[]],[]]
[2,1,6,7,5,4,3,8]=>[7,8,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]
[2,1,5,7,6,4,3,8]=>[7,8,4,2,3,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[2,1,6,5,7,4,3,8]=>[7,8,3,4,2,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]
[2,1,5,6,7,4,3,8]=>[7,8,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[2,1,5,6,4,7,3,8]=>[7,8,4,3,5,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[2,1,4,6,5,7,3,8]=>[7,8,5,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,1,4,5,6,7,3,8]=>[7,8,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[[[[[]],[],[],[],[]]]]
[1,2,5,6,7,4,3,8]=>[8,7,4,3,2,5,6,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[[[[[[[]]]],[],[]]]]
[1,2,4,6,7,5,3,8]=>[8,7,5,3,2,4,6,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[]]],[]],[]]]]
[1,2,4,5,7,6,3,8]=>[8,7,5,4,2,3,6,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[[[[[[[]],[]]],[]]]]
[1,2,5,6,4,7,3,8]=>[8,7,4,3,5,2,6,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[[[[[[[]]]],[],[]]]]
[1,2,4,6,5,7,3,8]=>[8,7,5,3,4,2,6,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[]]],[]],[]]]]
[1,2,4,5,6,7,3,8]=>[8,7,5,4,3,2,6,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[[[[[[[[]]]]],[]]]]
[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]
[3,2,1,6,7,5,4,8]=>[6,7,8,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,2,1,5,7,6,4,8]=>[6,7,8,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[3,2,1,5,6,7,4,8]=>[6,7,8,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[2,3,1,7,6,5,4,8]=>[7,6,8,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[[[[[]],[],[],[]]],[]]
[2,3,1,5,7,6,4,8]=>[7,6,8,4,2,3,5,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[2,3,1,6,5,7,4,8]=>[7,6,8,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,3,1,5,6,7,4,8]=>[7,6,8,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]
[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>[[[[[]],[],[],[]],[]]]
[1,3,2,6,7,5,4,8]=>[8,6,7,3,2,4,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[[[[[[]]],[],[]],[]]]
[1,3,2,6,5,7,4,8]=>[8,6,7,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[[[[[[]]],[],[]],[]]]
[1,3,2,5,6,7,4,8]=>[8,6,7,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[[[[[[]]]],[]],[]]]
[2,1,3,7,6,5,4,8]=>[7,8,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[[[[[]],[],[],[]]],[]]
[2,1,3,6,7,5,4,8]=>[7,8,6,3,2,4,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,1,3,6,5,7,4,8]=>[7,8,6,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,1,3,5,6,7,4,8]=>[7,8,6,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]
[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[[[[[[]],[],[],[]]]]]
[1,2,3,6,7,5,4,8]=>[8,7,6,3,2,4,5,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[[[[[[[]]],[],[]]]]]
[1,2,3,6,5,7,4,8]=>[8,7,6,3,4,2,5,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[[[[[[[]]],[],[]]]]]
[1,2,3,5,6,7,4,8]=>[8,7,6,4,3,2,5,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[[[[[[[[]]]],[]]]]]
[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[4,3,2,1,6,7,5,8]=>[5,6,7,8,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[3,4,2,1,7,6,5,8]=>[6,5,7,8,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[3,2,4,1,7,6,5,8]=>[6,7,5,8,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[3,2,4,1,6,7,5,8]=>[6,7,5,8,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[2,3,4,1,7,6,5,8]=>[7,6,5,8,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[[[[[]],[],[]]]],[]]
[2,3,4,1,6,7,5,8]=>[7,6,5,8,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[[[[[[]]],[]]]],[]]
[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[[[[[]],[],[]],[],[]]]
[1,4,3,2,6,7,5,8]=>[8,5,6,7,3,2,4,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[[[[[]]],[]],[],[]]]
[1,3,4,2,6,7,5,8]=>[8,6,5,7,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[[[[[[]]],[]]],[]]]
[2,1,4,3,7,6,5,8]=>[7,8,5,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]
[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[[[[[[]],[],[]],[]]]]
[1,2,4,3,6,7,5,8]=>[8,7,5,6,3,2,4,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[]]],[]],[]]]]
[3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[3,2,1,4,6,7,5,8]=>[6,7,8,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[2,3,1,4,7,6,5,8]=>[7,6,8,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[[[[[]],[],[]]]],[]]
[2,3,1,4,6,7,5,8]=>[7,6,8,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[[[[[[]]],[]]]],[]]
[1,3,2,4,7,6,5,8]=>[8,6,7,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[[[[[[]],[],[]]],[]]]
[1,3,2,4,6,7,5,8]=>[8,6,7,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[[[[[[]]],[]]],[]]]
[2,1,3,4,6,7,5,8]=>[7,8,6,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[[[[[[]]],[]]]],[]]
[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[[[[[[[]],[],[]]]]]]
[1,2,3,4,6,7,5,8]=>[8,7,6,5,3,2,4,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[[[[[[[[]]],[]]]]]]
[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[3,2,5,4,1,7,6,8]=>[6,7,4,5,8,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[2,3,5,4,1,7,6,8]=>[7,6,4,5,8,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[3,4,2,5,1,7,6,8]=>[6,5,7,4,8,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]
[2,4,3,5,1,7,6,8]=>[7,5,6,4,8,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,3,4,5,1,7,6,8]=>[7,6,5,4,8,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[[[[[[]],[]]]]],[]]
[1,5,4,3,2,7,6,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[[[[[]],[]],[],[],[]]]
[1,3,5,4,2,7,6,8]=>[8,6,4,5,7,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[[[[[]],[]],[]],[]]]
[1,4,3,5,2,7,6,8]=>[8,5,6,4,7,2,3,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[[[[[[]],[]]],[],[]]]
[1,3,4,5,2,7,6,8]=>[8,6,5,4,7,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[[[[[[[]],[]]]],[]]]
[2,1,5,4,3,7,6,8]=>[7,8,4,5,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[1,2,5,4,3,7,6,8]=>[8,7,4,5,6,2,3,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>[[[[[[]],[]],[],[]]]]
[1,2,4,5,3,7,6,8]=>[8,7,5,4,6,2,3,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[[[[[[[]],[]]],[]]]]
[3,2,1,5,4,7,6,8]=>[6,7,8,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[2,3,1,5,4,7,6,8]=>[7,6,8,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[[[[[]],[]],[]],[]]]
[1,2,3,5,4,7,6,8]=>[8,7,6,4,5,2,3,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[[[[[[[]],[]],[]]]]]
[4,3,2,1,5,7,6,8]=>[5,6,7,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[2,4,3,1,5,7,6,8]=>[7,5,6,8,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[3,2,4,1,5,7,6,8]=>[6,7,5,8,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[[[[[]],[]]]],[],[]]
[2,3,4,1,5,7,6,8]=>[7,6,5,8,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[[[[[[]],[]]]]],[]]
[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[[[[[[]],[]]],[],[]]]
[1,3,4,2,5,7,6,8]=>[8,6,5,7,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[[[[[[[]],[]]]],[]]]
[1,2,4,3,5,7,6,8]=>[8,7,5,6,4,2,3,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[[[[[[[]],[]]],[]]]]
[2,3,1,4,5,7,6,8]=>[7,6,8,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[[[[[[]],[]]]]],[]]
[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[[[[[[[]],[]]]],[]]]
[2,1,3,4,5,7,6,8]=>[7,8,6,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[[[[[[]],[]]]]],[]]
[1,2,3,4,5,7,6,8]=>[8,7,6,5,4,2,3,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[[[[[[[[]],[]]]]]]]
[4,6,5,3,2,1,7,8]=>[5,3,4,6,7,8,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[3,6,5,4,2,1,7,8]=>[6,3,4,5,7,8,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,4,6,5,2,1,7,8]=>[6,5,3,4,7,8,2,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]
[2,6,5,4,3,1,7,8]=>[7,3,4,5,6,8,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]
[2,4,6,5,3,1,7,8]=>[7,5,3,4,6,8,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,5,6,3,1,7,8]=>[7,5,4,3,6,8,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[2,3,6,5,4,1,7,8]=>[7,6,3,4,5,8,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,3,5,6,4,1,7,8]=>[7,6,4,3,5,8,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]
[2,3,4,6,5,1,7,8]=>[7,6,5,3,4,8,2,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[[[[[[]]],[]]]],[]]
[3,5,4,2,6,1,7,8]=>[6,4,5,7,3,8,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[2,5,4,3,6,1,7,8]=>[7,4,5,6,3,8,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[2,4,5,3,6,1,7,8]=>[7,5,4,6,3,8,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[3,2,5,4,6,1,7,8]=>[6,7,4,5,3,8,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[2,3,5,4,6,1,7,8]=>[7,6,4,5,3,8,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]
[2,4,3,5,6,1,7,8]=>[7,5,6,4,3,8,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[[[[[]]],[],[],[],[]]]
[1,5,6,4,3,2,7,8]=>[8,4,3,5,6,7,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[[[[[[]]]],[],[],[]]]
[1,4,6,5,3,2,7,8]=>[8,5,3,4,6,7,2,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[[[[[]]],[]],[],[]]]
[1,4,5,6,3,2,7,8]=>[8,5,4,3,6,7,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[[[[[[[]]]]],[],[]]]
[1,3,5,6,4,2,7,8]=>[8,6,4,3,5,7,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[[[[[[]]]],[]],[]]]
[1,4,5,3,6,2,7,8]=>[8,5,4,6,3,7,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[[[[[[[]]]]],[],[]]]
[1,3,4,5,6,2,7,8]=>[8,6,5,4,3,7,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[[[[[[[[]]]]]],[]]]
[2,1,6,5,4,3,7,8]=>[7,8,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]
[2,1,4,6,5,3,7,8]=>[7,8,5,3,4,6,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,1,4,5,6,3,7,8]=>[7,8,5,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[[[[[[]]],[],[],[]]]]
[1,2,5,6,4,3,7,8]=>[8,7,4,3,5,6,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[[[[[[[]]]],[],[]]]]
[1,2,4,6,5,3,7,8]=>[8,7,5,3,4,6,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[]]],[]],[]]]]
[1,2,5,4,6,3,7,8]=>[8,7,4,5,3,6,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[[[[[[[]]]],[],[]]]]
[1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[[[[[[[[]]]]],[]]]]
[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,2,1,5,6,4,7,8]=>[6,7,8,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[2,3,1,6,5,4,7,8]=>[7,6,8,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,3,1,5,6,4,7,8]=>[7,6,8,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]
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[1,5,3,4,6,7,8,2]=>[8,4,6,5,3,2,1,7]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[[[[[[]]]],[[]],[]]]
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[1,8,3,5,4,6,7,2]=>[8,1,6,4,5,3,2,7]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>[[[],[[[[]]],[]],[]]]
[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[[[],[[[],[]],[]],[]]]
[1,7,3,5,6,4,8,2]=>[8,2,6,4,3,5,1,7]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[[[[]],[[[]],[]],[]]]
[1,8,3,5,6,4,7,2]=>[8,1,6,4,3,5,2,7]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>[[[],[[[[]]],[]],[]]]
[1,8,3,5,7,6,4,2]=>[8,1,6,4,2,3,5,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[[[],[[[],[]],[]],[]]]
[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>[[[[]],[[],[],[]],[]]]
[1,7,3,6,5,4,8,2]=>[8,2,6,3,4,5,1,7]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>[[[[]],[[],[],[]],[]]]
[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>[[[],[[[]],[],[]],[]]]
[1,8,3,6,5,7,4,2]=>[8,1,6,3,4,2,5,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>[[[],[[[]],[],[]],[]]]
[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[[[],[[],[[]],[]],[]]]
[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[[[],[[],[],[],[]],[]]]
[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[[[[[]]],[[]],[],[]]]
[1,7,4,3,5,6,8,2]=>[8,2,5,6,4,3,1,7]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>[[[[]],[[[]]],[],[]]]
[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[[[],[[[[]]]],[],[]]]
[1,8,4,3,5,7,6,2]=>[8,1,5,6,4,2,3,7]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>[[[],[[[],[]]],[],[]]]
[1,6,4,5,3,2,7,8]=>[8,3,5,4,6,7,2,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[[[[[]]],[[]],[],[]]]
[1,6,4,5,3,2,8,7]=>[8,3,5,4,6,7,1,2]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>[[[[],[]],[[]],[],[]]]
[1,6,4,5,3,8,7,2]=>[8,3,5,4,6,1,2,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>[[[[],[]],[[]],[],[]]]
[1,7,4,5,6,3,2,8]=>[8,2,5,4,3,6,7,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>[[[[]],[[[]]],[],[]]]
[1,8,4,5,6,3,7,2]=>[8,1,5,4,3,6,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[[[],[[[[]]]],[],[]]]
[1,8,4,5,6,7,3,2]=>[8,1,5,4,3,2,6,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[[[],[[[[]]]],[],[]]]
[1,8,4,5,7,6,3,2]=>[8,1,5,4,2,3,6,7]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>[[[],[[[],[]]],[],[]]]
[1,8,4,6,5,3,7,2]=>[8,1,5,3,4,6,2,7]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>[[[],[[[]],[]],[],[]]]
[1,8,4,6,5,7,3,2]=>[8,1,5,3,4,2,6,7]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>[[[],[[[]],[]],[],[]]]
[1,8,4,7,6,5,3,2]=>[8,1,5,2,3,4,6,7]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>[[[],[[],[],[]],[],[]]]
[1,7,5,4,3,6,8,2]=>[8,2,4,5,6,3,1,7]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[[[[]],[[]],[],[],[]]]
[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[[[],[[[]]],[],[],[]]]
[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[[[],[[],[]],[],[],[]]]
[1,8,5,4,6,3,7,2]=>[8,1,4,5,3,6,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[[[],[[[]]],[],[],[]]]
[1,8,5,4,6,7,3,2]=>[8,1,4,5,3,2,6,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[[[],[[[]]],[],[],[]]]
[1,8,5,4,7,6,3,2]=>[8,1,4,5,2,3,6,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[[[],[[],[]],[],[],[]]]
[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>[[[[]],[],[[]],[],[]]]
[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[[[],[[]],[[]],[],[]]]
[1,8,6,4,5,7,3,2]=>[8,1,3,5,4,2,6,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[[[],[[]],[[]],[],[]]]
[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[[[],[],[[[]]],[],[]]]
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[1,8,6,5,4,7,3,2]=>[8,1,3,4,5,2,6,7]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[[[],[[]],[],[],[],[]]]
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[2,1,3,5,8,6,7,4]=>[7,8,6,4,1,3,2,5]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>[[[[[],[[]]],[]]],[]]
[2,1,3,8,5,6,7,4]=>[7,8,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[[[[],[[[]]],[]]],[]]
[2,1,3,8,5,7,6,4]=>[7,8,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[[[[],[[],[]],[]]],[]]
[2,1,3,8,6,7,5,4]=>[7,8,6,1,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>[[[[],[[]],[],[]]],[]]
[2,1,4,3,8,6,7,5]=>[7,8,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[[[[],[[]],[]],[]],[]]
[2,1,4,5,8,6,7,3]=>[7,8,5,4,1,3,2,6]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[[[[[],[[]]]],[]],[]]
[2,1,4,7,5,6,3,8]=>[7,8,5,2,4,3,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,1,4,8,6,7,5,3]=>[7,8,5,1,3,2,4,6]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[[[[],[[]],[]],[]],[]]
[2,1,5,4,8,6,7,3]=>[7,8,4,5,1,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[[[[],[[]]],[],[]],[]]
[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[]],[]],[]]
[2,1,6,4,5,7,8,3]=>[7,8,3,5,4,2,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[2,1,7,4,5,6,3,8]=>[7,8,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[]],[[[]]],[]],[]]
[2,1,7,4,5,6,8,3]=>[7,8,2,5,4,3,1,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[]],[[[]]],[]],[]]
[2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[[[],[[[],[]]],[]],[]]
[2,1,7,4,6,5,8,3]=>[7,8,2,5,3,4,1,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[[[[]],[[],[]],[]],[]]
[2,1,8,4,6,7,5,3]=>[7,8,1,5,3,2,4,6]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[[]],[]],[]],[]]
[2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[[[],[[[]]],[],[]],[]]
[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[[[],[[],[]],[],[]],[]]
[2,1,7,5,6,4,3,8]=>[7,8,2,4,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[]],[[]],[],[]],[]]
[2,1,7,5,6,4,8,3]=>[7,8,2,4,3,5,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[]],[[]],[],[]],[]]
[2,1,8,5,6,4,7,3]=>[7,8,1,4,3,5,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[[[],[[[]]],[],[]],[]]
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[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[[[],[],[[]],[],[]],[]]
[2,3,1,4,8,6,7,5]=>[7,6,8,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[[[[[],[[]],[]]]],[]]
[2,3,1,5,8,6,7,4]=>[7,6,8,4,1,3,2,5]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>[[[[[],[[]]],[]]],[]]
[2,3,1,7,5,6,4,8]=>[7,6,8,2,4,3,5,1]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[[[[[]],[[]],[]]],[]]
[2,3,1,8,5,6,7,4]=>[7,6,8,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[[[[],[[[]]],[]]],[]]
[2,3,1,8,5,7,6,4]=>[7,6,8,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[[[[],[[],[]],[]]],[]]
[2,3,1,8,6,7,5,4]=>[7,6,8,1,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>[[[[],[[]],[],[]]],[]]
[2,3,4,1,8,6,7,5]=>[7,6,5,8,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[[[[[],[[]],[]]]],[]]
[2,3,4,5,8,6,7,1]=>[7,6,5,4,1,3,2,8]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[[[[[[],[[]]]]]],[]]
[2,3,4,8,5,6,7,1]=>[7,6,5,1,4,3,2,8]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[[[[[],[[[]]]]]],[]]
[2,3,4,8,5,7,6,1]=>[7,6,5,1,4,2,3,8]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[[[[[],[[],[]]]]],[]]
[2,3,4,8,6,5,7,1]=>[7,6,5,1,3,4,2,8]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[[[[[],[[]],[]]]],[]]
[2,3,4,8,6,7,5,1]=>[7,6,5,1,3,2,4,8]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[[[[[],[[]],[]]]],[]]
[2,3,6,4,5,1,8,7]=>[7,6,3,5,4,8,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[[[[[],[]],[[]]]],[]]
[2,3,6,4,5,7,1,8]=>[7,6,3,5,4,2,8,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>[[[[[[]]],[[]]]],[]]
[2,3,6,4,5,7,8,1]=>[7,6,3,5,4,2,1,8]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>[[[[[[]]],[[]]]],[]]
[2,3,7,4,5,6,8,1]=>[7,6,2,5,4,3,1,8]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>[[[[[]],[[[]]]]],[]]
[2,3,7,4,6,5,8,1]=>[7,6,2,5,3,4,1,8]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>[[[[[]],[[],[]]]],[]]
[2,3,7,5,4,6,1,8]=>[7,6,2,4,5,3,8,1]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[[[[[]],[[]],[]]],[]]
[2,3,7,5,4,6,8,1]=>[7,6,2,4,5,3,1,8]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[[[[[]],[[]],[]]],[]]
[2,3,8,5,4,6,7,1]=>[7,6,1,4,5,3,2,8]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[[[[],[[[]]],[]]],[]]
[2,3,7,5,6,4,8,1]=>[7,6,2,4,3,5,1,8]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[[[[[]],[[]],[]]],[]]
[2,3,8,5,6,4,7,1]=>[7,6,1,4,3,5,2,8]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[[[[],[[[]]],[]]],[]]
[2,3,8,5,6,7,4,1]=>[7,6,1,4,3,2,5,8]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[[[[],[[[]]],[]]],[]]
[2,3,8,5,7,6,4,1]=>[7,6,1,4,2,3,5,8]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[[[[],[[],[]],[]]],[]]
[2,3,8,6,5,7,4,1]=>[7,6,1,3,4,2,5,8]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>[[[[],[[]],[],[]]],[]]
[2,4,3,5,8,6,7,1]=>[7,5,6,4,1,3,2,8]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[[[[[],[[]]]],[]],[]]
[2,4,3,7,5,6,1,8]=>[7,5,6,2,4,3,8,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,4,3,8,5,6,7,1]=>[7,5,6,1,4,3,2,8]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[[[[],[[[]]]],[]],[]]
[2,5,3,4,1,6,7,8]=>[7,4,6,5,8,3,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,3,4,1,7,6,8]=>[7,4,6,5,8,2,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,5,3,4,1,8,7,6]=>[7,4,6,5,8,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[],[]],[[]]],[]]
[2,5,3,4,6,7,1,8]=>[7,4,6,5,3,2,8,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,3,4,8,6,7,1]=>[7,4,6,5,1,3,2,8]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[[[[],[[]]],[[]]],[]]
[2,6,3,4,5,7,1,8]=>[7,3,6,5,4,2,8,1]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[[[[[]]],[[[]]]],[]]
[2,6,3,4,5,7,8,1]=>[7,3,6,5,4,2,1,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[[[[[]]],[[[]]]],[]]
[2,7,3,4,5,6,1,8]=>[7,2,6,5,4,3,8,1]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[[[[]],[[[[]]]]],[]]
[2,8,3,4,5,6,7,1]=>[7,1,6,5,4,3,2,8]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[[[],[[[[[]]]]]],[]]
[2,8,3,4,5,7,6,1]=>[7,1,6,5,4,2,3,8]=>[[.,[[[[.,[.,.]],.],.],.]],[.,.]]=>[[[],[[[[],[]]]]],[]]
[2,7,3,4,6,5,8,1]=>[7,2,6,5,3,4,1,8]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>[[[[]],[[[],[]]]],[]]
[2,6,3,5,4,1,7,8]=>[7,3,6,4,5,8,2,1]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[[[[[]]],[[],[]]],[]]
[2,6,3,5,4,1,8,7]=>[7,3,6,4,5,8,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[],[]]],[]]
[2,6,3,5,4,7,1,8]=>[7,3,6,4,5,2,8,1]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[[[[[]]],[[],[]]],[]]
[2,6,3,5,4,7,8,1]=>[7,3,6,4,5,2,1,8]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[[[[[]]],[[],[]]],[]]
[2,7,3,5,4,6,8,1]=>[7,2,6,4,5,3,1,8]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>[[[[]],[[[]],[]]],[]]
[2,8,3,5,4,7,6,1]=>[7,1,6,4,5,2,3,8]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[[[],[[[],[]],[]]],[]]
[2,7,3,5,6,4,1,8]=>[7,2,6,4,3,5,8,1]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>[[[[]],[[[]],[]]],[]]
[2,8,3,5,7,6,4,1]=>[7,1,6,4,2,3,5,8]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[[[],[[[],[]],[]]],[]]
[2,7,3,6,5,4,1,8]=>[7,2,6,3,4,5,8,1]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>[[[[]],[[],[],[]]],[]]
[2,7,3,6,5,4,8,1]=>[7,2,6,3,4,5,1,8]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>[[[[]],[[],[],[]]],[]]
[2,8,3,7,6,5,4,1]=>[7,1,6,2,3,4,5,8]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[[[],[[],[],[],[]]],[]]
[2,6,4,3,5,1,8,7]=>[7,3,5,6,4,8,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[]],[]],[]]
[2,6,4,3,5,7,1,8]=>[7,3,5,6,4,2,8,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[2,6,4,3,5,7,8,1]=>[7,3,5,6,4,2,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[2,7,4,3,5,6,8,1]=>[7,2,5,6,4,3,1,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[]],[[[]]],[]],[]]
[2,8,4,3,5,6,7,1]=>[7,1,5,6,4,3,2,8]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>[[[],[[[[]]]],[]],[]]
[2,8,4,3,5,7,6,1]=>[7,1,5,6,4,2,3,8]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[[[],[[[],[]]],[]],[]]
[2,7,4,3,6,5,1,8]=>[7,2,5,6,3,4,8,1]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[[[[]],[[],[]],[]],[]]
[2,8,4,3,6,7,5,1]=>[7,1,5,6,3,2,4,8]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[[]],[]],[]],[]]
[2,8,4,3,7,6,5,1]=>[7,1,5,6,2,3,4,8]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[[[],[[],[],[]],[]],[]]
[2,6,4,5,3,1,7,8]=>[7,3,5,4,6,8,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[2,6,4,5,3,1,8,7]=>[7,3,5,4,6,8,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[]],[]],[]]
[2,6,4,5,3,7,1,8]=>[7,3,5,4,6,2,8,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[2,6,4,5,3,7,8,1]=>[7,3,5,4,6,2,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[2,7,4,5,3,6,1,8]=>[7,2,5,4,6,3,8,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[]],[[[]]],[]],[]]
[2,8,4,5,3,6,7,1]=>[7,1,5,4,6,3,2,8]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>[[[],[[[[]]]],[]],[]]
[2,8,4,5,3,7,6,1]=>[7,1,5,4,6,2,3,8]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[[[],[[[],[]]],[]],[]]
[2,7,4,5,6,3,8,1]=>[7,2,5,4,3,6,1,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[]],[[[]]],[]],[]]
[2,8,4,5,7,6,3,1]=>[7,1,5,4,2,3,6,8]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[[[],[[[],[]]],[]],[]]
[2,7,4,6,5,3,8,1]=>[7,2,5,3,4,6,1,8]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[[[[]],[[],[]],[]],[]]
[2,8,4,7,5,6,3,1]=>[7,1,5,2,4,3,6,8]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>[[[],[[],[[]]],[]],[]]
[2,7,5,4,6,3,1,8]=>[7,2,4,5,3,6,8,1]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[]],[[]],[],[]],[]]
[2,7,5,4,6,3,8,1]=>[7,2,4,5,3,6,1,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[]],[[]],[],[]],[]]
[2,8,5,4,6,3,7,1]=>[7,1,4,5,3,6,2,8]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[[[],[[[]]],[],[]],[]]
[2,8,5,4,7,6,3,1]=>[7,1,4,5,2,3,6,8]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[[[],[[],[]],[],[]],[]]
[2,7,6,4,5,3,8,1]=>[7,2,3,5,4,6,1,8]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[[[[]],[],[[]],[]],[]]
[2,8,6,4,5,3,7,1]=>[7,1,3,5,4,6,2,8]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[[[],[[]],[[]],[]],[]]
[2,8,7,4,6,5,3,1]=>[7,1,2,5,3,4,6,8]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[[[],[],[[],[]],[]],[]]
[2,8,6,5,4,3,7,1]=>[7,1,3,4,5,6,2,8]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[[[],[[]],[],[],[]],[]]
[2,8,7,5,6,4,3,1]=>[7,1,2,4,3,5,6,8]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[[[],[],[[]],[],[]],[]]
[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>[[[[],[[]],[]]],[],[]]
[3,2,1,5,8,6,7,4]=>[6,7,8,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[[[[],[[]]],[]],[],[]]
[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]
[3,2,1,7,5,6,8,4]=>[6,7,8,2,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]
[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[[[],[[[]]],[]],[],[]]
[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[[[],[[],[]],[]],[],[]]
[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[[[],[[]],[],[]],[],[]]
[3,2,1,8,6,7,5,4]=>[6,7,8,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[[[],[[]],[],[]],[],[]]
[3,2,4,1,8,6,7,5]=>[6,7,5,8,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>[[[[],[[]],[]]],[],[]]
[3,2,4,5,8,6,7,1]=>[6,7,5,4,1,3,2,8]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>[[[[[],[[]]]]],[],[]]
[3,2,4,8,5,6,7,1]=>[6,7,5,1,4,3,2,8]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[[[[],[[[]]]]],[],[]]
[3,2,4,8,6,7,5,1]=>[6,7,5,1,3,2,4,8]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>[[[[],[[]],[]]],[],[]]
[3,2,5,4,8,6,7,1]=>[6,7,4,5,1,3,2,8]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[[[[],[[]]],[]],[],[]]
[3,2,6,4,5,1,7,8]=>[6,7,3,5,4,8,2,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[3,2,6,4,5,1,8,7]=>[6,7,3,5,4,8,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]
[3,2,8,4,5,6,7,1]=>[6,7,1,5,4,3,2,8]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[[[],[[[[]]]]],[],[]]
[3,2,7,4,6,5,8,1]=>[6,7,2,5,3,4,1,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[[[[]],[[],[]]],[],[]]
[3,2,7,5,4,6,1,8]=>[6,7,2,4,5,3,8,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]
[3,2,7,5,4,6,8,1]=>[6,7,2,4,5,3,1,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]
[3,2,8,5,4,6,7,1]=>[6,7,1,4,5,3,2,8]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[[[],[[[]]],[]],[],[]]
[3,2,7,5,6,4,1,8]=>[6,7,2,4,3,5,8,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]
[3,2,7,5,6,4,8,1]=>[6,7,2,4,3,5,1,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]
[3,2,8,5,6,4,7,1]=>[6,7,1,4,3,5,2,8]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[[[],[[[]]],[]],[],[]]
[3,2,8,5,6,7,4,1]=>[6,7,1,4,3,2,5,8]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[[[],[[[]]],[]],[],[]]
[3,2,8,5,7,6,4,1]=>[6,7,1,4,2,3,5,8]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[[[],[[],[]],[]],[],[]]
[4,2,3,1,5,7,6,8]=>[5,7,6,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[4,2,3,1,5,7,8,6]=>[5,7,6,8,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[],[],[]]],[[]],[]]
[4,2,3,1,6,5,7,8]=>[5,7,6,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]
[4,2,3,1,6,7,5,8]=>[5,7,6,8,3,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,2,3,1,6,7,8,5]=>[5,7,6,8,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]
[4,2,3,1,7,6,8,5]=>[5,7,6,8,2,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]
[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[],[[]],[]],[[]],[]]
[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[],[],[],[]],[[]],[]]
[4,2,3,5,1,6,8,7]=>[5,7,6,4,8,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[[[],[]]]],[[]],[]]
[4,2,3,5,1,7,8,6]=>[5,7,6,4,8,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[4,2,3,5,1,8,7,6]=>[5,7,6,4,8,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[],[],[]]],[[]],[]]
[4,2,3,5,6,1,8,7]=>[5,7,6,4,3,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[[[],[]]]],[[]],[]]
[4,2,3,5,7,6,8,1]=>[5,7,6,4,2,3,1,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[4,2,3,6,5,7,1,8]=>[5,7,6,3,4,2,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,2,3,7,5,6,8,1]=>[5,7,6,2,4,3,1,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[]],[[]]],[[]],[]]
[4,2,3,8,5,6,7,1]=>[5,7,6,1,4,3,2,8]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[[[],[[[]]]],[[]],[]]
[4,2,3,7,6,5,8,1]=>[5,7,6,2,3,4,1,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]
[4,2,3,8,7,6,5,1]=>[5,7,6,1,2,3,4,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[],[],[],[]],[[]],[]]
[5,2,3,4,1,7,6,8]=>[4,7,6,5,8,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[]],[]],[[[]]],[]]
[5,2,3,4,1,7,8,6]=>[4,7,6,5,8,2,1,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[]],[]],[[[]]],[]]
[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[],[]],[[[]]],[]]
[5,2,3,4,6,8,7,1]=>[4,7,6,5,3,1,2,8]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[]]],[[[]]],[]]
[5,2,3,4,7,6,1,8]=>[4,7,6,5,2,3,8,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[]],[]],[[[]]],[]]
[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>[[],[[[[[],[]]]]],[]]
[7,2,3,4,6,5,1,8]=>[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[[[]],[[[[],[]]]],[]]
[8,2,3,4,6,7,5,1]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[[],[[[[[]],[]]]],[]]
[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[[[[]]],[[[],[]]],[]]
[6,2,3,5,4,7,1,8]=>[3,7,6,4,5,2,8,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[[[[]]],[[[],[]]],[]]
[7,2,3,5,4,6,1,8]=>[2,7,6,4,5,3,8,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[[[]],[[[[]],[]]],[]]
[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>[[],[[[[[]]],[]]],[]]
[8,2,3,5,7,6,4,1]=>[1,7,6,4,2,3,5,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[[],[[[[],[]],[]]],[]]
[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[[[]],[[[],[],[]]],[]]
[7,2,3,6,5,4,8,1]=>[2,7,6,3,4,5,1,8]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[[[]],[[[],[],[]]],[]]
[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[[],[[[[]],[],[]]],[]]
[8,2,3,6,5,7,4,1]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[[],[[[[]],[],[]]],[]]
[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[[],[[[],[[]],[]]],[]]
[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[[],[[[],[],[],[]]],[]]
[5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,2,4,3,1,6,8,7]=>[4,7,5,6,8,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[[],[]]],[[],[]],[]]
[5,2,4,3,1,7,6,8]=>[4,7,5,6,8,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[]],[]],[[],[]],[]]
[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[],[]],[[],[]],[]]
[5,2,4,3,6,1,7,8]=>[4,7,5,6,3,8,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,2,4,3,6,1,8,7]=>[4,7,5,6,3,8,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[[],[]]],[[],[]],[]]
[5,2,4,3,6,7,1,8]=>[4,7,5,6,3,2,8,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,2,4,3,6,7,8,1]=>[4,7,5,6,3,2,1,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,2,4,3,7,6,1,8]=>[4,7,5,6,2,3,8,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[]],[]],[[],[]],[]]
[5,2,4,3,7,6,8,1]=>[4,7,5,6,2,3,1,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[]],[]],[[],[]],[]]
[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[]],[]],[]]
[6,2,4,3,5,7,1,8]=>[3,7,5,6,4,2,8,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]
[6,2,4,3,5,7,8,1]=>[3,7,5,6,4,2,1,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]
[7,2,4,3,5,6,1,8]=>[2,7,5,6,4,3,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[[[]],[[[[]]],[]],[]]
[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[[],[[[[[]]]],[]],[]]
[7,2,4,3,6,5,8,1]=>[2,7,5,6,3,4,1,8]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[[[]],[[[],[]],[]],[]]
[8,2,4,3,6,7,5,1]=>[1,7,5,6,3,2,4,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[],[[[[]],[]],[]],[]]
[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[],[[[],[],[]],[]],[]]
[6,2,4,5,3,1,7,8]=>[3,7,5,4,6,8,2,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]
[6,2,4,5,3,1,8,7]=>[3,7,5,4,6,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[]],[]],[]]
[6,2,4,5,3,7,1,8]=>[3,7,5,4,6,2,8,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]
[7,2,4,5,3,6,1,8]=>[2,7,5,4,6,3,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[[[]],[[[[]]],[]],[]]
[7,2,4,5,6,3,1,8]=>[2,7,5,4,3,6,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[[[]],[[[[]]],[]],[]]
[8,2,4,5,6,3,7,1]=>[1,7,5,4,3,6,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[[],[[[[[]]]],[]],[]]
[8,2,4,5,6,7,3,1]=>[1,7,5,4,3,2,6,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[[],[[[[[]]]],[]],[]]
[8,2,4,7,6,5,3,1]=>[1,7,5,2,3,4,6,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[],[[[],[],[]],[]],[]]
[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[],[],[]],[]]
[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>[[[]],[[[]],[],[]],[]]
[7,2,5,4,3,6,8,1]=>[2,7,4,5,6,3,1,8]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>[[[]],[[[]],[],[]],[]]
[8,2,5,4,6,7,3,1]=>[1,7,4,5,3,2,6,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>[[],[[[[]]],[],[]],[]]
[8,2,5,4,7,6,3,1]=>[1,7,4,5,2,3,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[[],[[[],[]],[],[]],[]]
[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[[[]],[[],[[]],[]],[]]
[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[],[[[]],[[]],[]],[]]
[8,2,6,4,5,7,3,1]=>[1,7,3,5,4,2,6,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[],[[[]],[[]],[]],[]]
[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[[],[[],[[[]]],[]],[]]
[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[],[[],[[],[]],[]],[]]
[7,2,6,5,4,3,8,1]=>[2,7,3,4,5,6,1,8]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[]],[[],[],[],[]],[]]
[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[[],[[[]],[],[],[]],[]]
[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[],[[],[[]],[],[]],[]]
[8,2,7,5,6,4,3,1]=>[1,7,2,4,3,5,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[],[[],[[]],[],[]],[]]
[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[[],[[],[],[],[],[]],[]]
[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[[[],[[]],[]],[],[],[]]
[4,3,2,7,5,6,8,1]=>[5,6,7,2,4,3,1,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]
[4,3,2,8,5,7,6,1]=>[5,6,7,1,4,2,3,8]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[[[],[[],[]]],[],[],[]]
[4,3,2,8,6,7,5,1]=>[5,6,7,1,3,2,4,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[[[],[[]],[]],[],[],[]]
[5,3,2,4,1,6,8,7]=>[4,6,7,5,8,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]
[5,3,2,4,1,7,6,8]=>[4,6,7,5,8,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[5,3,2,4,1,7,8,6]=>[4,6,7,5,8,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[],[]],[[]],[],[]]
[5,3,2,4,6,1,8,7]=>[4,6,7,5,3,8,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]
[5,3,2,4,7,6,8,1]=>[4,6,7,5,2,3,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[]]],[],[]]
[7,3,2,4,6,5,1,8]=>[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[[[]],[[[],[]]],[],[]]
[8,3,2,4,6,7,5,1]=>[1,6,7,5,3,2,4,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>[[],[[[[]],[]]],[],[]]
[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]
[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[],[]],[],[]]
[6,3,2,5,4,7,1,8]=>[3,6,7,4,5,2,8,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]
[7,3,2,5,4,6,8,1]=>[2,6,7,4,5,3,1,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[]],[],[]]
[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[[],[[[[]]],[]],[],[]]
[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[],[[[],[]],[]],[],[]]
[8,3,2,5,6,4,7,1]=>[1,6,7,4,3,5,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[[],[[[[]]],[]],[],[]]
[8,3,2,5,6,7,4,1]=>[1,6,7,4,3,2,5,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[[],[[[[]]],[]],[],[]]
[7,3,2,6,5,4,8,1]=>[2,6,7,3,4,5,1,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[]],[[],[],[]],[],[]]
[8,3,2,6,5,7,4,1]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[],[[[]],[],[]],[],[]]
[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[],[[],[],[],[]],[],[]]
[5,3,4,2,1,7,8,6]=>[4,6,5,7,8,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[5,3,4,2,1,8,7,6]=>[4,6,5,7,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[],[]],[[]],[],[]]
[5,3,4,2,6,1,8,7]=>[4,6,5,7,3,8,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]
[5,3,4,2,7,6,1,8]=>[4,6,5,7,2,3,8,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[5,3,4,2,7,6,8,1]=>[4,6,5,7,2,3,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[5,3,4,2,8,6,7,1]=>[4,6,5,7,1,3,2,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[],[[]]],[[]],[],[]]
[5,3,4,2,8,7,6,1]=>[4,6,5,7,1,2,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[],[]],[[]],[],[]]
[6,3,4,2,5,1,8,7]=>[3,6,5,7,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[]]],[],[]]
[8,3,4,2,5,7,6,1]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>[[],[[[[],[]]]],[],[]]
[7,3,4,2,6,5,1,8]=>[2,6,5,7,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[[[]],[[[],[]]],[],[]]
[7,3,4,2,6,5,8,1]=>[2,6,5,7,3,4,1,8]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[[[]],[[[],[]]],[],[]]
[8,3,4,2,6,5,7,1]=>[1,6,5,7,3,4,2,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>[[],[[[[]],[]]],[],[]]
[8,3,4,2,7,6,5,1]=>[1,6,5,7,2,3,4,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[[],[[[],[],[]]],[],[]]
[8,3,4,5,2,7,6,1]=>[1,6,5,4,7,2,3,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>[[],[[[[],[]]]],[],[]]
[6,3,5,4,2,7,1,8]=>[3,6,4,5,7,2,8,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]
[7,3,5,4,2,6,1,8]=>[2,6,4,5,7,3,8,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[]],[],[]]
[7,3,5,4,2,6,8,1]=>[2,6,4,5,7,3,1,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[]],[],[]]
[8,3,5,4,2,6,7,1]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[[],[[[[]]],[]],[],[]]
[8,3,5,4,2,7,6,1]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[],[[[],[]],[]],[],[]]
[8,3,5,4,6,7,2,1]=>[1,6,4,5,3,2,7,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[[],[[[[]]],[]],[],[]]
[8,3,5,4,7,6,2,1]=>[1,6,4,5,2,3,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[],[[[],[]],[]],[],[]]
[8,3,6,4,5,7,2,1]=>[1,6,3,5,4,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[[],[[[]],[[]]],[],[]]
[8,3,7,4,6,5,2,1]=>[1,6,2,5,3,4,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[[],[[],[[],[]]],[],[]]
[7,3,6,5,4,2,1,8]=>[2,6,3,4,5,7,8,1]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[]],[[],[],[]],[],[]]
[8,3,6,5,4,7,2,1]=>[1,6,3,4,5,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[],[[[]],[],[]],[],[]]
[8,3,7,5,4,6,2,1]=>[1,6,2,4,5,3,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[],[[],[[]],[]],[],[]]
[8,3,7,5,6,4,2,1]=>[1,6,2,4,3,5,7,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[],[[],[[]],[]],[],[]]
[8,3,7,6,5,4,2,1]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[],[[],[],[],[]],[],[]]
[5,4,3,2,8,6,7,1]=>[4,5,6,7,1,3,2,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[[[],[[]]],[],[],[],[]]
[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[[],[[[],[]]],[],[],[]]
[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[[],[[[]],[]],[],[],[]]
[8,4,3,2,6,7,5,1]=>[1,5,6,7,3,2,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[[],[[[]],[]],[],[],[]]
[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[],[[],[],[]],[],[],[]]
[6,4,3,5,2,1,8,7]=>[3,5,6,4,7,8,1,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[]],[],[],[]]
[8,4,3,5,2,7,6,1]=>[1,5,6,4,7,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[[],[[[],[]]],[],[],[]]
[8,4,3,5,7,6,2,1]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[[],[[[],[]]],[],[],[]]
[7,4,3,6,5,2,1,8]=>[2,5,6,3,4,7,8,1]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[]],[[],[]],[],[],[]]
[7,4,3,6,5,2,8,1]=>[2,5,6,3,4,7,1,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[]],[[],[]],[],[],[]]
[8,4,3,6,5,7,2,1]=>[1,5,6,3,4,2,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[[],[[[]],[]],[],[],[]]
[8,4,3,7,6,5,2,1]=>[1,5,6,2,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[],[[],[],[]],[],[],[]]
[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[],[[]],[],[]]
[6,5,3,4,2,8,7,1]=>[3,4,6,5,7,1,2,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[],[[]],[],[]]
[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[],[[],[]],[[]],[],[]]
[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[[],[],[[[],[]]],[],[]]
[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>[[[]],[],[[],[]],[],[]]
[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[],[[]],[[],[]],[],[]]
[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>[[],[],[[[]],[]],[],[]]
[8,7,3,5,6,4,2,1]=>[1,2,6,4,3,5,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>[[],[],[[[]],[]],[],[]]
[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[],[],[[],[],[]],[],[]]
[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[],[[],[]],[],[],[],[]]
[8,5,4,3,7,6,2,1]=>[1,4,5,6,2,3,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[],[[],[]],[],[],[],[]]
[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[],[],[[],[]],[],[],[]]
[8,7,4,6,5,3,2,1]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[],[],[[],[]],[],[],[]]
[2,4,1,3,6,5,8,7]=>[7,5,8,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,1,4,6,3,5,8,7]=>[7,8,5,3,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,4,1,6,3,5,8,7]=>[7,5,8,3,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,4,6,1,3,5,8,7]=>[7,5,3,8,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,1,4,3,6,8,5,7]=>[7,8,5,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,1,4,6,3,8,5,7]=>[7,8,5,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,4,1,6,3,8,5,7]=>[7,5,8,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,4,6,1,3,8,5,7]=>[7,5,3,8,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,1,4,6,8,3,5,7]=>[7,8,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,4,1,6,8,3,5,7]=>[7,5,8,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,4,6,1,8,3,5,7]=>[7,5,3,8,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]
[2,4,1,3,6,5,7,8]=>[7,5,8,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,1,4,6,3,5,7,8]=>[7,8,5,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,1,6,3,5,7,8]=>[7,5,8,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,6,1,3,5,7,8]=>[7,5,3,8,6,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,1,3,6,7,5,8]=>[7,5,8,6,3,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,1,4,6,3,7,5,8]=>[7,8,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,1,6,3,7,5,8]=>[7,5,8,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,6,1,3,7,5,8]=>[7,5,3,8,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,1,4,6,7,3,5,8]=>[7,8,5,3,2,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,6,1,7,3,5,8]=>[7,5,3,8,2,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,6,7,1,3,5,8]=>[7,5,3,2,8,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,1,3,6,7,8,5]=>[7,5,8,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,1,4,6,3,7,8,5]=>[7,8,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,1,6,3,7,8,5]=>[7,5,8,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,6,1,3,7,8,5]=>[7,5,3,8,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,1,4,6,7,3,8,5]=>[7,8,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,1,6,7,3,8,5]=>[7,5,8,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,6,1,7,3,8,5]=>[7,5,3,8,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,6,7,1,3,8,5]=>[7,5,3,2,8,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,1,4,6,7,8,3,5]=>[7,8,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,1,6,7,8,3,5]=>[7,5,8,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,6,1,7,8,3,5]=>[7,5,3,8,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,6,7,1,8,3,5]=>[7,5,3,2,8,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,4,6,7,8,1,3,5]=>[7,5,3,2,1,8,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[2,1,4,3,7,5,8,6]=>[7,8,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,4,1,3,7,5,8,6]=>[7,5,8,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,4,1,7,3,5,8,6]=>[7,5,8,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,4,7,1,3,5,8,6]=>[7,5,2,8,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,1,4,3,7,8,5,6]=>[7,8,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,4,1,3,7,8,5,6]=>[7,5,8,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,4,1,7,3,8,5,6]=>[7,5,8,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,4,7,1,3,8,5,6]=>[7,5,2,8,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,1,4,7,8,3,5,6]=>[7,8,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,4,1,7,8,3,5,6]=>[7,5,8,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,4,7,1,8,3,5,6]=>[7,5,2,8,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,4,7,8,1,3,5,6]=>[7,5,2,1,8,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,1,4,3,7,5,6,8]=>[7,8,5,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,1,4,7,3,5,6,8]=>[7,8,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,4,7,1,3,5,6,8]=>[7,5,2,8,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[2,4,1,5,3,7,6,8]=>[7,5,8,4,6,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,4,5,1,7,3,6,8]=>[7,5,4,8,2,6,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,4,1,3,5,7,8,6]=>[7,5,8,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,4,5,1,3,7,8,6]=>[7,5,4,8,6,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,1,4,5,7,3,8,6]=>[7,8,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,4,5,1,7,3,8,6]=>[7,5,4,8,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,4,5,7,1,3,8,6]=>[7,5,4,2,8,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,1,4,5,7,8,3,6]=>[7,8,5,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,4,1,5,7,8,3,6]=>[7,5,8,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,4,5,7,1,8,3,6]=>[7,5,4,2,8,1,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,4,5,7,8,1,3,6]=>[7,5,4,2,1,8,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[2,1,4,3,8,5,6,7]=>[7,8,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[[[[],[[[]]]],[]],[]]
[2,4,1,3,8,5,6,7]=>[7,5,8,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[[[[],[[[]]]],[]],[]]
[2,1,4,8,3,5,6,7]=>[7,8,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[[[[],[[[]]]],[]],[]]
[2,4,1,8,3,5,6,7]=>[7,5,8,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[[[[],[[[]]]],[]],[]]
[2,4,8,1,3,5,6,7]=>[7,5,1,8,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[[[[],[[[]]]],[]],[]]
[2,1,4,3,5,8,6,7]=>[7,8,5,6,4,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[[[[[],[[]]]],[]],[]]
[2,4,1,3,5,8,6,7]=>[7,5,8,6,4,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[[[[[],[[]]]],[]],[]]
[2,4,1,5,3,8,6,7]=>[7,5,8,4,6,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[[[[[],[[]]]],[]],[]]
[2,1,4,5,8,3,6,7]=>[7,8,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[[[[[],[[]]]],[]],[]]
[2,4,1,5,8,3,6,7]=>[7,5,8,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[[[[[],[[]]]],[]],[]]
[2,4,5,1,8,3,6,7]=>[7,5,4,8,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[[[[[],[[]]]],[]],[]]
[2,4,1,5,3,6,8,7]=>[7,5,8,4,6,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[2,4,5,1,3,6,8,7]=>[7,5,4,8,6,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[2,4,1,5,6,3,8,7]=>[7,5,8,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[2,1,4,5,6,8,3,7]=>[7,8,5,4,3,1,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[2,4,1,5,6,8,3,7]=>[7,5,8,4,3,1,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[2,4,5,6,1,8,3,7]=>[7,5,4,3,8,1,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[2,4,5,6,8,1,3,7]=>[7,5,4,3,1,8,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]
[2,4,1,3,5,6,7,8]=>[7,5,8,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[2,4,1,5,3,6,7,8]=>[7,5,8,4,6,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[2,4,1,5,6,3,7,8]=>[7,5,8,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[2,4,5,1,6,3,7,8]=>[7,5,4,8,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[2,4,5,6,1,3,7,8]=>[7,5,4,3,8,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
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[2,4,5,1,6,7,3,8]=>[7,5,4,8,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
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[2,4,5,6,7,1,3,8]=>[7,5,4,3,2,8,6,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[2,4,1,5,6,7,8,3]=>[7,5,8,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[2,4,5,6,1,7,8,3]=>[7,5,4,3,8,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[2,4,5,6,7,1,8,3]=>[7,5,4,3,2,8,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[2,4,5,6,7,8,1,3]=>[7,5,4,3,2,1,8,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]
[2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[[[],[]]],[[]]],[]]
[2,5,1,3,6,4,8,7]=>[7,4,8,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[[[],[]]],[[]]],[]]
[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[[[],[]]],[[]]],[]]
[2,5,1,6,3,4,8,7]=>[7,4,8,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[[[],[]]],[[]]],[]]
[2,5,1,3,6,8,4,7]=>[7,4,8,6,3,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[[[],[]]],[[]]],[]]
[2,5,1,6,3,8,4,7]=>[7,4,8,3,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[[[],[]]],[[]]],[]]
[2,5,6,1,3,8,4,7]=>[7,4,3,8,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[[[],[]]],[[]]],[]]
[2,5,1,6,8,3,4,7]=>[7,4,8,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[[[],[]]],[[]]],[]]
[2,5,6,1,8,3,4,7]=>[7,4,3,8,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[[[],[]]],[[]]],[]]
[2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[[[],[]]],[[]]],[]]
[2,5,1,3,6,4,7,8]=>[7,4,8,6,3,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,1,5,6,3,4,7,8]=>[7,8,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,1,6,3,4,7,8]=>[7,4,8,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,1,3,6,7,4,8]=>[7,4,8,6,3,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,1,6,3,7,4,8]=>[7,4,8,3,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,6,1,3,7,4,8]=>[7,4,3,8,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,1,5,6,7,3,4,8]=>[7,8,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,1,6,7,3,4,8]=>[7,4,8,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,6,1,7,3,4,8]=>[7,4,3,8,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,1,5,3,6,7,8,4]=>[7,8,4,6,3,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,1,5,6,3,7,8,4]=>[7,8,4,3,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,1,6,3,7,8,4]=>[7,4,8,3,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,6,1,3,7,8,4]=>[7,4,3,8,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,1,6,7,3,8,4]=>[7,4,8,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,6,1,7,3,8,4]=>[7,4,3,8,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,6,7,1,3,8,4]=>[7,4,3,2,8,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,1,5,6,7,8,3,4]=>[7,8,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,1,6,7,8,3,4]=>[7,4,8,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,6,1,7,8,3,4]=>[7,4,3,8,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,6,7,1,8,3,4]=>[7,4,3,2,8,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,5,6,7,8,1,3,4]=>[7,4,3,2,1,8,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[]]]],[[]]],[]]
[2,1,5,3,7,4,8,6]=>[7,8,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,1,5,7,3,4,8,6]=>[7,8,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,5,1,7,3,4,8,6]=>[7,4,8,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,5,7,1,3,4,8,6]=>[7,4,2,8,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,5,1,3,7,8,4,6]=>[7,4,8,6,2,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,1,5,7,3,8,4,6]=>[7,8,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,5,1,7,3,8,4,6]=>[7,4,8,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,1,5,7,8,3,4,6]=>[7,8,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,5,7,1,8,3,4,6]=>[7,4,2,8,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,5,7,8,1,3,4,6]=>[7,4,2,1,8,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,5,1,3,7,4,6,8]=>[7,4,8,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,1,5,7,3,4,6,8]=>[7,8,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,5,1,7,3,4,6,8]=>[7,4,8,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,5,7,1,3,4,6,8]=>[7,4,2,8,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,5,1,3,4,7,6,8]=>[7,4,8,6,5,2,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,3,5,1,4,7,6,8]=>[7,6,4,8,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[2,1,3,5,7,4,6,8]=>[7,8,6,4,2,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[2,3,1,5,7,4,6,8]=>[7,6,8,4,2,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[2,3,5,7,1,4,6,8]=>[7,6,4,2,8,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
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[2,3,5,1,4,7,8,6]=>[7,6,4,8,5,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
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[2,3,5,7,1,8,4,6]=>[7,6,4,2,8,1,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
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[2,3,6,1,4,7,5,8]=>[7,6,3,8,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>[[[[[[]]],[[]]]],[]]
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[2,3,6,1,4,5,8,7]=>[7,6,3,8,5,4,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[[[[[],[]],[[]]]],[]]
[2,3,4,6,1,5,8,7]=>[7,6,5,3,8,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[[[[[[],[]],[]]]],[]]
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[2,3,6,1,4,5,7,8]=>[7,6,3,8,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>[[[[[[]]],[[]]]],[]]
[2,3,4,6,1,7,5,8]=>[7,6,5,3,8,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[[[[[[]]],[]]]],[]]
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[2,1,7,8,3,4,5,6]=>[7,8,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[[[[]],[[[[]]]]],[]]
[2,7,1,8,3,4,5,6]=>[7,2,8,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[[[[]],[[[[]]]]],[]]
[2,7,8,1,3,4,5,6]=>[7,2,1,8,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[[[[]],[[[[]]]]],[]]
[2,1,7,3,4,8,5,6]=>[7,8,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[[[[]],[[[[]]]]],[]]
[2,7,1,3,4,8,5,6]=>[7,2,8,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[[[[]],[[[[]]]]],[]]
[2,3,1,7,4,8,5,6]=>[7,6,8,2,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>[[[[[]],[[[]]]]],[]]
[2,3,7,1,4,8,5,6]=>[7,6,2,8,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>[[[[[]],[[[]]]]],[]]
[2,1,3,7,8,4,5,6]=>[7,8,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>[[[[[]],[[[]]]]],[]]
[2,3,7,8,1,4,5,6]=>[7,6,2,1,8,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>[[[[[]],[[[]]]]],[]]
[2,1,7,3,4,5,8,6]=>[7,8,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[[[[]],[[[[]]]]],[]]
[2,7,1,3,4,5,8,6]=>[7,2,8,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[[[[]],[[[[]]]]],[]]
[2,3,4,1,7,5,8,6]=>[7,6,5,8,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[[[[[[]],[[]]]]],[]]
[2,3,4,7,1,5,8,6]=>[7,6,5,2,8,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[[[[[[]],[[]]]]],[]]
[2,1,3,4,7,8,5,6]=>[7,8,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[[[[[[]],[[]]]]],[]]
[2,3,1,4,7,8,5,6]=>[7,6,8,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[[[[[[]],[[]]]]],[]]
[2,3,4,1,7,8,5,6]=>[7,6,5,8,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[[[[[[]],[[]]]]],[]]
[2,3,4,7,1,8,5,6]=>[7,6,5,2,8,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[[[[[[]],[[]]]]],[]]
[2,3,4,7,8,1,5,6]=>[7,6,5,2,1,8,4,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[[[[[[]],[[]]]]],[]]
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[2,7,1,3,4,5,6,8]=>[7,2,8,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[[[[]],[[[[]]]]],[]]
[2,1,3,4,7,5,6,8]=>[7,8,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[[[[[[]],[[]]]]],[]]
[2,3,1,4,7,5,6,8]=>[7,6,8,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[[[[[[]],[[]]]]],[]]
[2,3,4,1,7,5,6,8]=>[7,6,5,8,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[[[[[[]],[[]]]]],[]]
[2,3,4,5,7,1,8,6]=>[7,6,5,4,2,8,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[[[[[[]],[]]]]],[]]
[2,3,4,5,7,8,1,6]=>[7,6,5,4,2,1,8,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[[[[[[]],[]]]]],[]]
[2,1,8,3,4,5,6,7]=>[7,8,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[[[],[[[[[]]]]]],[]]
[2,8,1,3,4,5,6,7]=>[7,1,8,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[[[],[[[[[]]]]]],[]]
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[4,5,1,7,2,8,3,6]=>[5,4,8,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[4,5,7,1,2,8,3,6]=>[5,4,2,8,7,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[4,1,5,7,8,2,3,6]=>[5,8,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[4,5,1,7,8,2,3,6]=>[5,4,8,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[4,5,7,1,8,2,3,6]=>[5,4,2,8,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[4,5,7,8,1,2,3,6]=>[5,4,2,1,8,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[4,1,5,2,7,3,6,8]=>[5,8,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[4,5,1,2,7,3,6,8]=>[5,4,8,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[4,5,1,7,2,3,6,8]=>[5,4,8,2,7,6,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[4,1,5,2,3,7,6,8]=>[5,8,4,7,6,2,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[4,5,1,2,3,7,6,8]=>[5,4,8,7,6,2,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[4,1,2,5,3,7,6,8]=>[5,8,7,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[1,4,2,5,3,7,6,8]=>[8,5,7,4,6,2,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]
[4,1,2,5,7,3,6,8]=>[5,8,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[1,4,2,5,7,3,6,8]=>[8,5,7,4,2,6,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]
[1,4,5,2,7,3,6,8]=>[8,5,4,7,2,6,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]
[1,4,5,7,2,3,6,8]=>[8,5,4,2,7,6,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]
[4,1,5,2,3,7,8,6]=>[5,8,4,7,6,2,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[4,5,1,2,3,7,8,6]=>[5,4,8,7,6,2,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[4,1,2,5,3,7,8,6]=>[5,8,7,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[1,4,2,5,3,7,8,6]=>[8,5,7,4,6,2,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]
[1,4,5,2,3,7,8,6]=>[8,5,4,7,6,2,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]
[4,1,2,5,7,3,8,6]=>[5,8,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[1,4,2,5,7,3,8,6]=>[8,5,7,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]
[1,4,5,2,7,3,8,6]=>[8,5,4,7,2,6,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]
[1,4,5,7,2,3,8,6]=>[8,5,4,2,7,6,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]
[1,4,2,5,7,8,3,6]=>[8,5,7,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]
[1,4,5,7,8,2,3,6]=>[8,5,4,2,1,7,6,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]
[4,1,5,2,8,3,6,7]=>[5,8,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[[[[],[[]]]],[[[]]]]
[4,5,1,2,8,3,6,7]=>[5,4,8,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[[[[],[[]]]],[[[]]]]
[4,5,1,8,2,3,6,7]=>[5,4,8,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[[[[],[[]]]],[[[]]]]
[4,5,8,1,2,3,6,7]=>[5,4,1,8,7,6,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[[[[],[[]]]],[[[]]]]
[4,5,1,2,3,8,6,7]=>[5,4,8,7,6,1,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[[[[],[[]]]],[[[]]]]
[4,1,2,5,3,8,6,7]=>[5,8,7,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[[[[],[[]]]],[[[]]]]
[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[[[[[],[[]]]],[[]]]]
[1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[[[[[],[[]]]],[[]]]]
[4,1,2,5,8,3,6,7]=>[5,8,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[[[[],[[]]]],[[[]]]]
[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[[[[[],[[]]]],[[]]]]
[1,4,5,2,8,3,6,7]=>[8,5,4,7,1,6,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[[[[[],[[]]]],[[]]]]
[1,4,5,8,2,3,6,7]=>[8,5,4,1,7,6,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[[[[[],[[]]]],[[]]]]
[4,1,5,2,3,6,8,7]=>[5,8,4,7,6,3,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[[[[[],[]]]],[[[]]]]
[4,5,1,2,3,6,8,7]=>[5,4,8,7,6,3,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[[[[[],[]]]],[[[]]]]
[4,1,2,5,3,6,8,7]=>[5,8,7,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[[[[[],[]]]],[[[]]]]
[1,4,5,2,3,6,8,7]=>[8,5,4,7,6,3,1,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>[[[[[[],[]]]],[[]]]]
[4,1,2,5,6,3,8,7]=>[5,8,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[[[[[],[]]]],[[[]]]]
[1,4,2,5,6,3,8,7]=>[8,5,7,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>[[[[[[],[]]]],[[]]]]
[1,4,5,2,6,3,8,7]=>[8,5,4,7,3,6,1,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>[[[[[[],[]]]],[[]]]]
[1,4,5,6,2,3,8,7]=>[8,5,4,3,7,6,1,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>[[[[[[],[]]]],[[]]]]
[4,1,2,5,6,8,3,7]=>[5,8,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[[[[[],[]]]],[[[]]]]
[1,4,2,5,6,8,3,7]=>[8,5,7,4,3,1,6,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>[[[[[[],[]]]],[[]]]]
[1,4,5,6,8,2,3,7]=>[8,5,4,3,1,7,6,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>[[[[[[],[]]]],[[]]]]
[4,1,5,2,3,6,7,8]=>[5,8,4,7,6,3,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[[[[[[]]]]],[[[]]]]
[4,1,2,5,3,6,7,8]=>[5,8,7,4,6,3,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[[[[[[]]]]],[[[]]]]
[1,4,2,5,3,6,7,8]=>[8,5,7,4,6,3,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]
[1,4,5,2,3,6,7,8]=>[8,5,4,7,6,3,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]
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[1,4,2,5,6,3,7,8]=>[8,5,7,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]
[1,4,5,2,6,3,7,8]=>[8,5,4,7,3,6,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]
[1,4,5,6,2,3,7,8]=>[8,5,4,3,7,6,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]
[1,4,2,5,6,7,3,8]=>[8,5,7,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]
[1,4,5,6,2,7,3,8]=>[8,5,4,3,7,2,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]
[1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]
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[1,4,2,5,6,7,8,3]=>[8,5,7,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]
[1,4,5,2,6,7,8,3]=>[8,5,4,7,3,2,1,6]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]
[1,4,5,6,2,7,8,3]=>[8,5,4,3,7,2,1,6]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]
[1,4,5,6,7,2,8,3]=>[8,5,4,3,2,7,1,6]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]
[1,4,5,6,7,8,2,3]=>[8,5,4,3,2,1,7,6]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]
[4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,1,6,7,2,3,8,5]=>[5,8,3,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,6,1,7,2,3,8,5]=>[5,3,8,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,1,6,2,7,8,3,5]=>[5,8,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,6,1,2,7,8,3,5]=>[5,3,8,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,1,6,7,2,8,3,5]=>[5,8,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,6,1,7,2,8,3,5]=>[5,3,8,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,6,7,1,2,8,3,5]=>[5,3,2,8,7,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,1,6,7,8,2,3,5]=>[5,8,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,6,1,7,8,2,3,5]=>[5,3,8,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,1,6,2,7,3,5,8]=>[5,8,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,6,1,2,7,3,5,8]=>[5,3,8,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,1,6,7,2,3,5,8]=>[5,8,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,6,1,7,2,3,5,8]=>[5,3,8,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,6,7,1,2,3,5,8]=>[5,3,2,8,7,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,1,6,2,3,7,5,8]=>[5,8,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,6,1,2,3,7,5,8]=>[5,3,8,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,1,2,6,3,7,5,8]=>[5,8,7,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[1,4,2,6,3,7,5,8]=>[8,5,7,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]
[1,4,6,2,3,7,5,8]=>[8,5,3,7,6,2,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]
[4,1,2,6,7,3,5,8]=>[5,8,7,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[1,4,6,2,7,3,5,8]=>[8,5,3,7,2,6,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]
[1,4,6,7,2,3,5,8]=>[8,5,3,2,7,6,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]
[4,1,6,2,3,7,8,5]=>[5,8,3,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,6,1,2,3,7,8,5]=>[5,3,8,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,1,2,6,7,3,8,5]=>[5,8,7,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[1,4,2,6,7,3,8,5]=>[8,5,7,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]
[1,4,6,2,7,3,8,5]=>[8,5,3,7,2,6,1,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]
[1,4,6,7,2,3,8,5]=>[8,5,3,2,7,6,1,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]
[4,1,2,6,7,8,3,5]=>[5,8,7,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[1,4,2,6,7,8,3,5]=>[8,5,7,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]
[1,4,6,2,7,8,3,5]=>[8,5,3,7,2,1,6,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]
[1,4,6,7,2,8,3,5]=>[8,5,3,2,7,1,6,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]
[4,1,6,2,8,3,5,7]=>[5,8,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[4,6,1,2,8,3,5,7]=>[5,3,8,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[4,1,6,8,2,3,5,7]=>[5,8,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[4,6,1,8,2,3,5,7]=>[5,3,8,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[4,6,8,1,2,3,5,7]=>[5,3,1,8,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[4,1,6,2,3,8,5,7]=>[5,8,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[4,6,1,2,3,8,5,7]=>[5,3,8,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[4,1,2,6,3,8,5,7]=>[5,8,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[[[[[],[]],[]],[[]]]]
[1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[[[[[],[]],[]],[[]]]]
[4,1,2,6,8,3,5,7]=>[5,8,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[1,4,2,6,8,3,5,7]=>[8,5,7,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[[[[[],[]],[]],[[]]]]
[1,4,6,2,8,3,5,7]=>[8,5,3,7,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[[[[[],[]],[]],[[]]]]
[4,1,6,2,3,5,8,7]=>[5,8,3,7,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[4,6,1,2,3,5,8,7]=>[5,3,8,7,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[1,4,2,6,3,5,8,7]=>[8,5,7,3,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[[[[[],[]],[]],[[]]]]
[1,4,6,2,3,5,8,7]=>[8,5,3,7,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[[[[[],[]],[]],[[]]]]
[4,1,2,3,6,5,8,7]=>[5,8,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[1,4,2,3,6,5,8,7]=>[8,5,7,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[[[[[],[]],[]],[[]]]]
[1,2,4,6,3,5,8,7]=>[8,7,5,3,6,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[[[[[[],[]],[]],[]]]]
[4,1,2,3,6,8,5,7]=>[5,8,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[1,4,2,3,6,8,5,7]=>[8,5,7,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[[[[[],[]],[]],[[]]]]
[1,2,4,3,6,8,5,7]=>[8,7,5,6,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[[[[[[],[]],[]],[]]]]
[1,2,4,6,8,3,5,7]=>[8,7,5,3,1,6,4,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[[[[[[],[]],[]],[]]]]
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[1,4,2,6,3,5,7,8]=>[8,5,7,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]
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[1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[]]],[]],[]]]]
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[1,4,2,3,6,7,5,8]=>[8,5,7,6,3,2,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]
[1,2,4,6,3,7,5,8]=>[8,7,5,3,6,2,4,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[]]],[]],[]]]]
[1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[]]],[]],[]]]]
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[1,4,2,3,6,7,8,5]=>[8,5,7,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]
[1,2,4,6,7,3,8,5]=>[8,7,5,3,2,6,1,4]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[]]],[]],[]]]]
[1,2,4,6,7,8,3,5]=>[8,7,5,3,2,1,6,4]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[]]],[]],[]]]]
[4,1,7,2,8,3,5,6]=>[5,8,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[4,7,1,2,8,3,5,6]=>[5,2,8,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[4,1,7,8,2,3,5,6]=>[5,8,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[4,7,1,8,2,3,5,6]=>[5,2,8,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[4,7,8,1,2,3,5,6]=>[5,2,1,8,7,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[4,1,7,2,3,8,5,6]=>[5,8,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[4,7,1,2,3,8,5,6]=>[5,2,8,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[4,1,2,7,3,8,5,6]=>[5,8,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[[[[[]],[[]]],[[]]]]
[1,4,7,2,3,8,5,6]=>[8,5,2,7,6,1,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[[[[[]],[[]]],[[]]]]
[4,1,2,7,8,3,5,6]=>[5,8,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[1,4,2,7,8,3,5,6]=>[8,5,7,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[[[[[]],[[]]],[[]]]]
[1,4,7,2,8,3,5,6]=>[8,5,2,7,1,6,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[[[[[]],[[]]],[[]]]]
[1,4,7,8,2,3,5,6]=>[8,5,2,1,7,6,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[[[[[]],[[]]],[[]]]]
[4,1,7,2,3,5,8,6]=>[5,8,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[4,7,1,2,3,5,8,6]=>[5,2,8,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[4,1,2,7,3,5,8,6]=>[5,8,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[4,1,2,3,7,5,8,6]=>[5,8,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[1,2,4,3,7,5,8,6]=>[8,7,5,6,2,4,1,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>[[[[[[]],[[]]],[]]]]
[4,1,2,3,7,8,5,6]=>[5,8,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[[[[[]],[[]]],[[]]]]
[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>[[[[[[]],[[]]],[]]]]
[1,2,4,7,8,3,5,6]=>[8,7,5,2,1,6,4,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>[[[[[[]],[[]]],[]]]]
[4,1,7,2,3,5,6,8]=>[5,8,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[4,7,1,2,3,5,6,8]=>[5,2,8,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[4,1,2,7,3,5,6,8]=>[5,8,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[1,4,2,7,3,5,6,8]=>[8,5,7,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[[[[[]],[[]]],[[]]]]
[4,1,2,3,7,5,6,8]=>[5,8,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[[[[[]],[[]]],[[]]]]
[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>[[[[[[]],[[]]],[]]]]
[4,1,2,3,5,7,6,8]=>[5,8,7,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[1,4,2,3,5,7,6,8]=>[8,5,7,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]
[4,1,2,3,5,7,8,6]=>[5,8,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[1,4,2,3,5,7,8,6]=>[8,5,7,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]
[1,2,4,5,7,3,8,6]=>[8,7,5,4,2,6,1,3]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[[[[[[[]],[]]],[]]]]
[1,2,4,5,7,8,3,6]=>[8,7,5,4,2,1,6,3]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[[[[[[[]],[]]],[]]]]
[4,1,8,2,3,5,6,7]=>[5,8,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[[[],[[[]]]],[[[]]]]
[4,8,1,2,3,5,6,7]=>[5,1,8,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[[[],[[[]]]],[[[]]]]
[4,1,2,8,3,5,6,7]=>[5,8,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[[[],[[[]]]],[[[]]]]
[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[[[[],[[[]]]],[[]]]]
[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[[[[],[[[]]]],[[]]]]
[4,1,2,3,8,5,6,7]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[[[],[[[]]]],[[[]]]]
[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[[[[],[[[]]]],[[]]]]
[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[[[[[],[[[]]]],[]]]]
[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[[[[[],[[[]]]],[]]]]
[4,1,2,3,5,8,6,7]=>[5,8,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[[[[],[[]]]],[[[]]]]
[1,4,2,3,5,8,6,7]=>[8,5,7,6,4,1,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[[[[[],[[]]]],[[]]]]
[1,2,4,3,5,8,6,7]=>[8,7,5,6,4,1,3,2]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>[[[[[[],[[]]]],[]]]]
[1,2,4,5,3,8,6,7]=>[8,7,5,4,6,1,3,2]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>[[[[[[],[[]]]],[]]]]
[1,2,4,5,8,3,6,7]=>[8,7,5,4,1,6,3,2]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>[[[[[[],[[]]]],[]]]]
[4,1,2,3,5,6,8,7]=>[5,8,7,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[[[[[],[]]]],[[[]]]]
[1,4,2,3,5,6,8,7]=>[8,5,7,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>[[[[[[],[]]]],[[]]]]
[1,2,4,5,6,8,3,7]=>[8,7,5,4,3,1,6,2]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[[[[[[[],[]]]],[]]]]
[1,4,2,3,5,6,7,8]=>[8,5,7,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]
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[5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[[[[[]]]],[[[[]]]]]
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[5,6,1,7,2,3,4,8]=>[4,3,8,2,7,6,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[[[[[]]]],[[[[]]]]]
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[1,5,6,2,3,7,8,4]=>[8,4,3,7,6,2,1,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[[[[[[]]]],[[[]]]]]
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[1,5,6,2,7,3,8,4]=>[8,4,3,7,2,6,1,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[[[[[[]]]],[[[]]]]]
[1,5,6,7,2,3,8,4]=>[8,4,3,2,7,6,1,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[[[[[[]]]],[[[]]]]]
[5,1,2,6,7,8,3,4]=>[4,8,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[[[[[]]]],[[[[]]]]]
[1,5,6,7,2,8,3,4]=>[8,4,3,2,7,1,6,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[[[[[[]]]],[[[]]]]]
[1,5,6,7,8,2,3,4]=>[8,4,3,2,1,7,6,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[[[[[[]]]],[[[]]]]]
[5,1,6,2,8,3,4,7]=>[4,8,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[[],[]]],[[[[]]]]]
[5,6,1,2,8,3,4,7]=>[4,3,8,7,1,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[[],[]]],[[[[]]]]]
[5,1,6,8,2,3,4,7]=>[4,8,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[[],[]]],[[[[]]]]]
[5,6,1,8,2,3,4,7]=>[4,3,8,1,7,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[[],[]]],[[[[]]]]]
[5,6,8,1,2,3,4,7]=>[4,3,1,8,7,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[[],[]]],[[[[]]]]]
[5,1,6,2,3,8,4,7]=>[4,8,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[[],[]]],[[[[]]]]]
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[6,1,2,3,7,8,4,5]=>[3,8,7,6,2,1,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[[[]]],[[[[[]]]]]]
[1,6,2,3,7,8,4,5]=>[8,3,7,6,2,1,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[[[[]]],[[[[]]]]]]
[1,2,6,3,7,8,4,5]=>[8,7,3,6,2,1,5,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[[[[[[]]],[[[]]]]]]
[1,2,6,7,3,8,4,5]=>[8,7,3,2,6,1,5,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[[[[[[]]],[[[]]]]]]
[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[[[[[[]]],[[[]]]]]]
[6,1,7,2,3,4,5,8]=>[3,8,2,7,6,5,4,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[[[]]],[[[[[]]]]]]
[6,1,2,7,3,4,5,8]=>[3,8,7,2,6,5,4,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[[[]]],[[[[[]]]]]]
[1,6,2,7,3,4,5,8]=>[8,3,7,2,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[[[[]]],[[[[]]]]]]
[1,6,7,2,3,4,5,8]=>[8,3,2,7,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[[[[]]],[[[[]]]]]]
[6,1,2,3,7,4,5,8]=>[3,8,7,6,2,5,4,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[[[]]],[[[[[]]]]]]
[1,6,2,3,7,4,5,8]=>[8,3,7,6,2,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[[[[]]],[[[[]]]]]]
[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[[[[[[]]],[[[]]]]]]
[6,1,2,3,4,7,5,8]=>[3,8,7,6,5,2,4,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[[[]]],[[[[[]]]]]]
[1,6,2,3,4,7,5,8]=>[8,3,7,6,5,2,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[[[[]]],[[[[]]]]]]
[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[[[[[[]]],[[[]]]]]]
[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[[[[[[[]]],[[]]]]]]
[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[[[[[[[]]],[[]]]]]]
[6,1,2,3,4,7,8,5]=>[3,8,7,6,5,2,1,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[[[]]],[[[[[]]]]]]
[1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[[[[[[]]],[[[]]]]]]
[1,2,3,6,4,7,8,5]=>[8,7,6,3,5,2,1,4]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[[[[[[[]]],[[]]]]]]
[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[[[[[[[]]],[[]]]]]]
[1,2,3,6,7,8,4,5]=>[8,7,6,3,2,1,5,4]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[[[[[[[]]],[[]]]]]]
[6,1,8,2,3,4,5,7]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[[[],[]],[[[[[]]]]]]
[6,8,1,2,3,4,5,7]=>[3,1,8,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[[[],[]],[[[[[]]]]]]
[6,1,2,8,3,4,5,7]=>[3,8,7,1,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[[[],[]],[[[[[]]]]]]
[1,6,2,8,3,4,5,7]=>[8,3,7,1,6,5,4,2]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[[[[],[]],[[[[]]]]]]
[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[[[[],[]],[[[[]]]]]]
[6,1,2,3,8,4,5,7]=>[3,8,7,6,1,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[[[],[]],[[[[[]]]]]]
[1,6,2,3,8,4,5,7]=>[8,3,7,6,1,5,4,2]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[[[[],[]],[[[[]]]]]]
[1,2,6,3,8,4,5,7]=>[8,7,3,6,1,5,4,2]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>[[[[[],[]],[[[]]]]]]
[1,2,6,8,3,4,5,7]=>[8,7,3,1,6,5,4,2]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>[[[[[],[]],[[[]]]]]]
[6,1,2,3,4,8,5,7]=>[3,8,7,6,5,1,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[[[],[]],[[[[[]]]]]]
[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[[[[],[]],[[[[]]]]]]
[1,2,6,3,4,8,5,7]=>[8,7,3,6,5,1,4,2]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>[[[[[],[]],[[[]]]]]]
[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>[[[[[[],[]],[[]]]]]]
[6,1,2,3,4,5,8,7]=>[3,8,7,6,5,4,1,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[[[],[]],[[[[[]]]]]]
[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>[[[[[[],[]],[[]]]]]]
[1,2,3,4,6,8,5,7]=>[8,7,6,5,3,1,4,2]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[[[[[[[],[]],[]]]]]]
[1,6,2,3,4,5,7,8]=>[8,3,7,6,5,4,2,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[[[[]]],[[[[]]]]]]
[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[[[[[[]]],[[[]]]]]]
[1,2,3,6,4,5,7,8]=>[8,7,6,3,5,4,2,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[[[[[[[]]],[[]]]]]]
[7,1,8,2,3,4,5,6]=>[2,8,1,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[[[]],[[[[[[]]]]]]]
[7,1,2,8,3,4,5,6]=>[2,8,7,1,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[[[]],[[[[[[]]]]]]]
[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[[[[]],[[[[[]]]]]]]
[1,7,8,2,3,4,5,6]=>[8,2,1,7,6,5,4,3]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[[[[]],[[[[[]]]]]]]
[7,1,2,3,8,4,5,6]=>[2,8,7,6,1,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[[[]],[[[[[[]]]]]]]
[1,7,2,3,8,4,5,6]=>[8,2,7,6,1,5,4,3]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[[[[]],[[[[[]]]]]]]
[1,2,7,3,8,4,5,6]=>[8,7,2,6,1,5,4,3]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]=>[[[[[]],[[[[]]]]]]]
[1,2,7,8,3,4,5,6]=>[8,7,2,1,6,5,4,3]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]=>[[[[[]],[[[[]]]]]]]
[7,1,2,3,4,8,5,6]=>[2,8,7,6,5,1,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[[[]],[[[[[[]]]]]]]
[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[[[[]],[[[[[]]]]]]]
[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]=>[[[[[]],[[[[]]]]]]]
[1,2,3,7,4,8,5,6]=>[8,7,6,2,5,1,4,3]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]=>[[[[[[]],[[[]]]]]]]
[7,1,2,3,4,5,8,6]=>[2,8,7,6,5,4,1,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[[[]],[[[[[[]]]]]]]
[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[[[[]],[[[[[]]]]]]]
[1,2,7,3,4,5,8,6]=>[8,7,2,6,5,4,1,3]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]=>[[[[[]],[[[[]]]]]]]
[1,2,3,7,4,5,8,6]=>[8,7,6,2,5,4,1,3]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]=>[[[[[[]],[[[]]]]]]]
[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[[[[[[[]],[[]]]]]]]
[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[[[[[[[]],[[]]]]]]]
[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[[[[]],[[[[[]]]]]]]
[1,2,3,7,4,5,6,8]=>[8,7,6,2,5,4,3,1]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]=>[[[[[[]],[[[]]]]]]]
[1,2,3,4,7,5,6,8]=>[8,7,6,5,2,4,3,1]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[[[[[[[]],[[]]]]]]]
[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>[[.,[[[[[[.,.],.],.],.],.],.]],.]=>[[[],[[[[[[]]]]]]]]
[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>[[[.,[[[[[.,.],.],.],.],.]],.],.]=>[[[[],[[[[[]]]]]]]]
[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>[[[[.,[[[[.,.],.],.],.]],.],.],.]=>[[[[[],[[[[]]]]]]]]
[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>[[[[[.,[[[.,.],.],.]],.],.],.],.]=>[[[[[[],[[[]]]]]]]]
[1,2,3,4,5,8,6,7]=>[8,7,6,5,4,1,3,2]=>[[[[[[.,[[.,.],.]],.],.],.],.],.]=>[[[[[[[],[[]]]]]]]]
[5,3,2,6,1,4,8,7]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]
[7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[]],[],[]]
[8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[[],[[[],[]]],[[]],[]]
[7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[]],[[]],[]]
[5,4,6,2,1,3,8,7]=>[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[[[[],[]]],[],[[]],[]]
[3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]
[4,6,5,1,3,2,8,7]=>[5,3,4,8,6,7,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[]],[[],[]]]
[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[[[[],[]]],[],[],[[]]]
[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[]],[[]],[],[],[],[]]
[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[],[[]],[[]],[],[],[]]
[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[[]],[],[[]],[],[],[]]
[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[]],[]],[],[],[[]]]
[4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[[[[]],[[]]],[[],[]]]
[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[[[]],[[]],[]],[[]]]
[2,1,7,5,4,8,3,6]=>[7,8,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[]],[[]],[],[]],[]]
[3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[[[],[[],[]],[]],[[]]]
[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[[[],[[],[]]],[[],[]]]
[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[[[],[],[]],[],[],[[]]]
[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]
[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[[[]],[[],[]],[],[[]]]
[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[],[[]],[[]]]
[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[[[],[[]]],[[[]],[]]]
[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[[[],[[]],[]],[[],[]]]
[3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[[],[[]],[[]]],[[]]]
[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[[[],[[]],[[]],[]],[]]
[2,1,7,6,8,4,3,5]=>[7,8,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[[[[]],[],[[]],[]],[]]
[3,7,1,6,8,4,2,5]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[[[[]],[],[[]]],[[]]]
[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[[[[]],[],[]],[[],[]]]
[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[[[[]],[]],[[[]],[]]]
[5,4,7,2,1,8,3,6]=>[4,5,2,7,8,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]
[6,4,7,2,8,1,3,5]=>[3,5,2,7,1,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[]],[[],[]],[[]],[]]
[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[],[[[]],[]],[[]],[]]
[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[[],[[[]],[[]]],[],[]]
[7,3,2,6,8,4,1,5]=>[2,6,7,3,1,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[[[]],[[],[[]]],[],[]]
[6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]
[5,3,2,7,1,8,4,6]=>[4,6,7,2,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[4,3,2,1,7,8,5,6]=>[5,6,7,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]
[3,4,1,2,8,7,6,5]=>[6,5,8,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[[[[],[],[],[]]],[[]]]
[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[],[]],[[]],[],[]]
[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[],[]],[],[]]
[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[]],[[],[],[]],[],[]]
[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[],[[],[],[]],[[]],[]]
[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[]],[[],[]],[[]],[]]
[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[]],[[]],[]]
[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[[[],[],[]],[],[[]],[]]
[4,5,8,1,2,7,6,3]=>[5,4,1,8,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[[[[],[],[]]],[[[]]]]
[3,5,1,8,2,7,6,4]=>[6,4,8,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[],[]],[]],[[]]]
[2,1,5,8,3,7,6,4]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[],[]],[[]]],[]]
[2,1,6,8,7,3,5,4]=>[7,8,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[],[]]],[]]
[3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]
[4,6,8,1,7,2,5,3]=>[5,3,1,8,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[[[[],[]]],[[[],[]]]]
[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[],[[],[]],[]]
[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[[[]],[[]],[[],[]],[]]
[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[],[[],[]],[[],[]],[]]
[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[[[[]],[]],[[],[[]]]]
[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[]],[],[]],[[[]]]]
[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[[[[]],[],[],[]],[[]]]
[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>[[[[]],[],[],[[]]],[]]
[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[[[],[],[],[],[]],[[]]]
[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[[[],[],[],[]],[[],[]]]
[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[[[],[],[]],[[],[],[]]]
[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[[[],[]],[],[],[[],[]]]
[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[]],[]]
[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[[],[]],[],[],[],[],[],[],[]]
[10,8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[[],[[]],[[]],[[]],[[]],[]]
[6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]=>[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>[[[[[[]]]]],[[[[[]]]]]]
[6,5,4,3,2,1,10,9,8,7]=>[5,6,7,8,9,10,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>[[[],[],[],[]],[],[],[],[],[]]
[4,3,2,1,10,9,8,7,6,5]=>[7,8,9,10,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>[[[],[],[],[],[],[]],[],[],[]]
[2,1,10,9,8,7,6,5,4,3]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>[[[],[],[],[],[],[],[],[]],[]]
[3,10,1,9,8,7,6,5,4,2]=>[8,1,10,2,3,4,5,6,7,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]=>[[[],[],[],[],[],[],[]],[[]]]
[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[[[]],[],[],[],[],[],[],[[]]]
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[[],[],[],[],[],[],[],[],[],[]]
[3,2,5,1,4,6,7,8]=>[6,7,4,8,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[4,2,5,1,3,6,7,8]=>[5,7,4,8,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[3,2,6,1,4,5,7,8]=>[6,7,3,8,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[5,2,6,1,3,4,7,8]=>[4,7,3,8,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[5,3,6,1,2,4,7,8]=>[4,6,3,8,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[6,3,5,1,2,4,7,8]=>[3,6,4,8,7,5,2,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]
[4,2,7,1,3,5,6,8]=>[5,7,2,8,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[]],[[]]],[[]],[]]
[4,3,7,1,2,5,6,8]=>[5,6,2,8,7,4,3,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[[[[]],[[]]],[],[[]]]
[6,2,7,1,3,4,5,8]=>[3,7,2,8,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[[[]]],[[[[]]]],[]]
[6,3,7,1,2,4,5,8]=>[3,6,2,8,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[6,4,7,1,2,3,5,8]=>[3,5,2,8,7,6,4,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]
[7,2,5,1,3,4,6,8]=>[2,7,4,8,6,5,3,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[[[]],[[[]],[[]]],[]]
[7,3,5,1,2,4,6,8]=>[2,6,4,8,7,5,3,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]
[7,3,6,1,2,4,5,8]=>[2,6,3,8,7,5,4,1]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[[]],[[],[[]]],[[]]]
[3,2,8,1,4,5,6,7]=>[6,7,1,8,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[[[],[[[[]]]]],[],[]]
[5,2,8,1,3,4,6,7]=>[4,7,1,8,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[[[],[[]]],[[[]]],[]]
[5,3,8,1,2,4,6,7]=>[4,6,1,8,7,5,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[[]]],[[]],[[]]]
[5,4,8,1,2,3,6,7]=>[4,5,1,8,7,6,3,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[[[],[[]]],[],[[[]]]]
[6,2,8,1,3,4,5,7]=>[3,7,1,8,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[]]]],[]]
[6,3,8,1,2,4,5,7]=>[3,6,1,8,7,5,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]
[6,5,8,1,2,3,4,7]=>[3,4,1,8,7,6,5,2]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[],[]],[],[[[[]]]]]
[7,2,8,1,3,4,5,6]=>[2,7,1,8,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[[[]],[[[[[]]]]],[]]
[7,5,8,1,2,3,4,6]=>[2,4,1,8,7,6,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[[[]],[[]],[[[[]]]]]
[8,2,4,1,3,5,6,7]=>[1,7,5,8,6,4,3,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[[],[[[[[]]]],[]],[]]
[8,2,5,1,3,4,6,7]=>[1,7,4,8,6,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>[[],[[[[]]],[[]]],[]]
[8,3,5,1,2,4,6,7]=>[1,6,4,8,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[[],[[[[]]],[]],[[]]]
[8,4,6,1,2,3,5,7]=>[1,5,3,8,7,6,4,2]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[],[[[]],[]],[[[]]]]
[8,3,7,1,2,4,5,6]=>[1,6,2,8,7,5,4,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>[[],[[],[[[]]]],[[]]]
[8,4,7,1,2,3,5,6]=>[1,5,2,8,7,6,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[[],[[],[[]]],[[[]]]]
[8,5,7,1,2,3,4,6]=>[1,4,2,8,7,6,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[[],[[],[]],[[[[]]]]]
[4,2,6,7,1,3,5,8]=>[5,7,3,2,8,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[5,2,6,7,1,3,4,8]=>[4,7,3,2,8,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[5,3,6,7,1,2,4,8]=>[4,6,3,2,8,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[6,2,5,7,1,3,4,8]=>[3,7,4,2,8,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[[[[]]],[[],[[]]],[]]
[6,3,5,7,1,2,4,8]=>[3,6,4,2,8,7,5,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]
[7,2,4,6,1,3,5,8]=>[2,7,5,3,8,6,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[[[]],[[[],[]],[]],[]]
[7,3,5,6,1,2,4,8]=>[2,6,4,3,8,7,5,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]
[3,2,5,8,1,4,6,7]=>[6,7,4,1,8,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[[[[],[[]]],[]],[],[]]
[4,2,5,8,1,3,6,7]=>[5,7,4,1,8,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>[[[[],[[]]]],[[]],[]]
[4,3,5,8,1,2,6,7]=>[5,6,4,1,8,7,3,2]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[[[[],[[]]]],[],[[]]]
[5,2,4,8,1,3,6,7]=>[4,7,5,1,8,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[[[],[[]]],[[],[]],[]]
[3,2,6,8,1,4,5,7]=>[6,7,3,1,8,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]
[4,2,6,8,1,3,5,7]=>[5,7,3,1,8,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]
[5,2,6,8,1,3,4,7]=>[4,7,3,1,8,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[]]],[[[]]],[]]
[5,3,6,8,1,2,4,7]=>[4,6,3,1,8,7,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]
[5,4,6,8,1,2,3,7]=>[4,5,3,1,8,7,6,2]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[[[[],[]]],[],[[[]]]]
[6,2,4,8,1,3,5,7]=>[3,7,5,1,8,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[]],[]],[]]
[6,3,4,8,1,2,5,7]=>[3,6,5,1,8,7,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]
[6,2,5,8,1,3,4,7]=>[3,7,4,1,8,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[],[[]]],[]]
[6,3,5,8,1,2,4,7]=>[3,6,4,1,8,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[],[]],[[]]]
[3,2,7,8,1,4,5,6]=>[6,7,2,1,8,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[[[[]],[[[]]]],[],[]]
[5,2,7,8,1,3,4,6]=>[4,7,2,1,8,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[]],[]],[[[]]],[]]
[5,3,7,8,1,2,4,6]=>[4,6,2,1,8,7,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[5,4,7,8,1,2,3,6]=>[4,5,2,1,8,7,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[[[]],[]],[],[[[]]]]
[6,4,7,8,1,2,3,5]=>[3,5,2,1,8,7,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]
[7,3,4,8,1,2,5,6]=>[2,6,5,1,8,7,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[[[]],[[[[]]]],[[]]]
[7,3,5,8,1,2,4,6]=>[2,6,4,1,8,7,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]
[7,4,5,8,1,2,3,6]=>[2,5,4,1,8,7,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[[[]],[[[]]],[[[]]]]
[8,2,4,6,1,3,5,7]=>[1,7,5,3,8,6,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[],[[[[]],[]],[]],[]]
[8,3,5,6,1,2,4,7]=>[1,6,4,3,8,7,5,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[[],[[[[]]],[]],[[]]]
[8,2,4,7,1,3,5,6]=>[1,7,5,2,8,6,4,3]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[[],[[[],[[]]],[]],[]]
[8,3,4,7,1,2,5,6]=>[1,6,5,2,8,7,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[[],[[[],[[]]]],[[]]]
[8,2,5,7,1,3,4,6]=>[1,7,4,2,8,6,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>[[],[[[],[]],[[]]],[]]
[8,3,5,7,1,2,4,6]=>[1,6,4,2,8,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[],[[[],[]],[]],[[]]]
[8,2,6,7,1,3,4,5]=>[1,7,3,2,8,6,5,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>[[],[[[]],[[[]]]],[]]
[8,4,6,7,1,2,3,5]=>[1,5,3,2,8,7,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[],[[[]],[]],[[[]]]]
[3,6,2,5,1,4,7,8]=>[6,3,7,4,8,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[4,6,2,5,1,3,7,8]=>[5,3,7,4,8,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,6,3,5,1,2,7,8]=>[5,3,6,4,8,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[]]],[]],[],[[]]]
[5,6,2,4,1,3,7,8]=>[4,3,7,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[3,7,2,5,1,4,6,8]=>[6,2,7,4,8,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]
[4,7,3,5,1,2,6,8]=>[5,2,6,4,8,7,3,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[[[[]],[[]]],[],[[]]]
[5,7,2,4,1,3,6,8]=>[4,2,7,5,8,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[]],[]],[[],[]],[]]
[5,7,3,4,1,2,6,8]=>[4,2,6,5,8,7,3,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[3,7,2,6,1,4,5,8]=>[6,2,7,3,8,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[[[[]],[],[[]]],[],[]]
[4,7,3,6,1,2,5,8]=>[5,2,6,3,8,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[[[[]],[],[]],[],[[]]]
[5,7,4,6,1,2,3,8]=>[4,2,5,3,8,7,6,1]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[[[]],[]],[],[[[]]]]
[6,7,2,4,1,3,5,8]=>[3,2,7,5,8,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]
[6,7,3,5,1,2,4,8]=>[3,2,6,4,8,7,5,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]
[3,8,2,5,1,4,6,7]=>[6,1,7,4,8,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[[[],[[[]]],[]],[],[]]
[4,8,2,5,1,3,6,7]=>[5,1,7,4,8,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[[[],[[[]]]],[[]],[]]
[5,8,2,4,1,3,6,7]=>[4,1,7,5,8,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[[[],[[]]],[[],[]],[]]
[5,8,3,4,1,2,6,7]=>[4,1,6,5,8,7,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[[]]],[[]],[[]]]
[3,8,2,6,1,4,5,7]=>[6,1,7,3,8,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[[[],[[]],[[]]],[],[]]
[4,8,2,6,1,3,5,7]=>[5,1,7,3,8,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[],[[]],[]],[[]],[]]
[5,8,3,6,1,2,4,7]=>[4,1,6,3,8,7,5,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[[]]],[[]],[[]]]
[5,8,4,6,1,2,3,7]=>[4,1,5,3,8,7,6,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[[[],[[]]],[],[[[]]]]
[6,8,2,4,1,3,5,7]=>[3,1,7,5,8,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[]],[]],[]]
[6,8,2,5,1,3,4,7]=>[3,1,7,4,8,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[],[[]]],[]]
[6,8,3,5,1,2,4,7]=>[3,1,6,4,8,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[],[]],[[]]]
[3,8,2,7,1,4,5,6]=>[6,1,7,2,8,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[[[],[],[[[]]]],[],[]]
[4,8,2,7,1,3,5,6]=>[5,1,7,2,8,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[[[],[],[[]]],[[]],[]]
[4,8,3,7,1,2,5,6]=>[5,1,6,2,8,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[[[],[],[[]]],[],[[]]]
[5,8,2,7,1,3,4,6]=>[4,1,7,2,8,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[],[]],[[[]]],[]]
[5,8,3,7,1,2,4,6]=>[4,1,6,2,8,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[],[]],[[]],[[]]]
[5,8,4,7,1,2,3,6]=>[4,1,5,2,8,7,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[],[]],[],[[[]]]]
[6,8,3,7,1,2,4,5]=>[3,1,6,2,8,7,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]
[6,8,4,7,1,2,3,5]=>[3,1,5,2,8,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[]],[[[]]]]
[6,8,5,7,1,2,3,4]=>[3,1,4,2,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[],[]],[],[[[[]]]]]
[7,8,2,4,1,3,5,6]=>[2,1,7,5,8,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[[[]],[[[[]]],[]],[]]
[7,8,3,5,1,2,4,6]=>[2,1,6,4,8,7,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]
[7,8,2,6,1,3,4,5]=>[2,1,7,3,8,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>[[[]],[[],[[[]]]],[]]
[7,8,4,6,1,2,3,5]=>[2,1,5,3,8,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[]],[[],[]],[[[]]]]
[4,3,2,6,1,5,7,8]=>[5,6,7,3,8,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[5,3,2,6,1,4,7,8]=>[4,6,7,3,8,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[5,4,2,6,1,3,7,8]=>[4,5,7,3,8,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[6,4,2,5,1,3,7,8]=>[3,5,7,4,8,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[6,5,2,4,1,3,7,8]=>[3,4,7,5,8,6,2,1]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[[[[]]],[],[[],[]],[]]
[4,3,2,7,1,5,6,8]=>[5,6,7,2,8,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]
[5,3,2,7,1,4,6,8]=>[4,6,7,2,8,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[5,4,2,7,1,3,6,8]=>[4,5,7,2,8,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]
[6,3,2,7,1,4,5,8]=>[3,6,7,2,8,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]
[6,4,2,7,1,3,5,8]=>[3,5,7,2,8,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[6,4,3,7,1,2,5,8]=>[3,5,6,2,8,7,4,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[6,5,3,7,1,2,4,8]=>[3,4,6,2,8,7,5,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[[[[]]],[],[[]],[[]]]
[7,3,2,5,1,4,6,8]=>[2,6,7,4,8,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[]],[],[]]
[7,4,2,5,1,3,6,8]=>[2,5,7,4,8,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[7,5,2,4,1,3,6,8]=>[2,4,7,5,8,6,3,1]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[[[]],[[]],[[],[]],[]]
[7,3,2,6,1,4,5,8]=>[2,6,7,3,8,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[[[]],[[],[[]]],[],[]]
[7,4,2,6,1,3,5,8]=>[2,5,7,3,8,6,4,1]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[]],[[],[]],[[]],[]]
[7,5,2,6,1,3,4,8]=>[2,4,7,3,8,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[[]],[[]],[[[]]],[]]
[7,5,3,6,1,2,4,8]=>[2,4,6,3,8,7,5,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[[]],[[]],[[]],[[]]]
[4,3,2,8,1,5,6,7]=>[5,6,7,1,8,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[[[],[[[]]]],[],[],[]]
[5,3,2,8,1,4,6,7]=>[4,6,7,1,8,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[],[[]]],[[]],[],[]]
[5,4,3,8,1,2,6,7]=>[4,5,6,1,8,7,3,2]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[[[],[[]]],[],[],[[]]]
[6,3,2,8,1,4,5,7]=>[3,6,7,1,8,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[]]],[],[]]
[6,4,2,8,1,3,5,7]=>[3,5,7,1,8,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[]],[[]],[]]
[6,4,3,8,1,2,5,7]=>[3,5,6,1,8,7,4,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]
[6,5,2,8,1,3,4,7]=>[3,4,7,1,8,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[],[[[]]],[]]
[6,5,3,8,1,2,4,7]=>[3,4,6,1,8,7,5,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[],[[]],[[]]]
[6,5,4,8,1,2,3,7]=>[3,4,5,1,8,7,6,2]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[[[],[]],[],[],[[[]]]]
[7,4,2,8,1,3,5,6]=>[2,5,7,1,8,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[7,4,3,8,1,2,5,6]=>[2,5,6,1,8,7,4,3]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[[[]],[[[]]],[],[[]]]
[7,5,3,8,1,2,4,6]=>[2,4,6,1,8,7,5,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[[]],[[]],[[]],[[]]]
[7,6,3,8,1,2,4,5]=>[2,3,6,1,8,7,5,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[[[]],[],[[[]]],[[]]]
[8,3,2,5,1,4,6,7]=>[1,6,7,4,8,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[[],[[[[]]],[]],[],[]]
[8,4,2,5,1,3,6,7]=>[1,5,7,4,8,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[[],[[[[]]]],[[]],[]]
[8,5,2,4,1,3,6,7]=>[1,4,7,5,8,6,3,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[[],[[[]]],[[],[]],[]]
[8,3,2,6,1,4,5,7]=>[1,6,7,3,8,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[[],[[[]],[[]]],[],[]]
[8,4,2,6,1,3,5,7]=>[1,5,7,3,8,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[],[[[]],[]],[[]],[]]
[8,5,3,6,1,2,4,7]=>[1,4,6,3,8,7,5,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[[],[[[]]],[[]],[[]]]
[8,6,2,4,1,3,5,7]=>[1,3,7,5,8,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[],[[]],[[[]],[]],[]]
[8,6,3,5,1,2,4,7]=>[1,3,6,4,8,7,5,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[],[[]],[[],[]],[[]]]
[8,3,2,7,1,4,5,6]=>[1,6,7,2,8,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,[.,.]]]]=>[[],[[],[[[]]]],[],[]]
[8,4,2,7,1,3,5,6]=>[1,5,7,2,8,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[],[[],[[]]],[[]],[]]
[8,5,3,7,1,2,4,6]=>[1,4,6,2,8,7,5,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[],[[],[]],[[]],[[]]]
[8,5,4,7,1,2,3,6]=>[1,4,5,2,8,7,6,3]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[[],[[],[]],[],[[[]]]]
[8,7,2,4,1,3,5,6]=>[1,2,7,5,8,6,4,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>[[],[],[[[[]]],[]],[]]
[8,7,2,5,1,3,4,6]=>[1,2,7,4,8,6,5,3]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>[[],[],[[[]],[[]]],[]]
[8,7,3,5,1,2,4,6]=>[1,2,6,4,8,7,5,3]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[[],[],[[[]],[]],[[]]]
[8,7,2,6,1,3,4,5]=>[1,2,7,3,8,6,5,4]=>[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>[[],[],[[],[[[]]]],[]]
[8,7,3,6,1,2,4,5]=>[1,2,6,3,8,7,5,4]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>[[],[],[[],[[]]],[[]]]
[8,7,4,6,1,2,3,5]=>[1,2,5,3,8,7,6,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[[],[],[[],[]],[[[]]]]
[3,6,2,5,8,1,4,7]=>[6,3,7,4,1,8,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]
[4,6,2,5,8,1,3,7]=>[5,3,7,4,1,8,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]
[5,6,2,4,8,1,3,7]=>[4,3,7,5,1,8,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[[],[]]],[[],[]],[]]
[5,6,3,4,8,1,2,7]=>[4,3,6,5,1,8,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]
[3,7,2,5,8,1,4,6]=>[6,2,7,4,1,8,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]
[4,7,2,5,8,1,3,6]=>[5,2,7,4,1,8,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[]],[[]]],[[]],[]]
[4,7,3,5,8,1,2,6]=>[5,2,6,4,1,8,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[[[[]],[[]]],[],[[]]]
[5,7,2,4,8,1,3,6]=>[4,2,7,5,1,8,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[]],[]],[[],[]],[]]
[5,7,3,4,8,1,2,6]=>[4,2,6,5,1,8,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[4,7,3,6,8,1,2,5]=>[5,2,6,3,1,8,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[[[[]],[],[]],[],[[]]]
[5,7,3,6,8,1,2,4]=>[4,2,6,3,1,8,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[5,7,4,6,8,1,2,3]=>[4,2,5,3,1,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[[[]],[]],[],[[[]]]]
[6,7,2,4,8,1,3,5]=>[3,2,7,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]
[6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[6,7,3,5,8,1,2,4]=>[3,2,6,4,1,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]
[3,8,2,5,7,1,4,6]=>[6,1,7,4,2,8,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[[[],[[],[]],[]],[],[]]
[4,8,2,5,7,1,3,6]=>[5,1,7,4,2,8,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[[[],[[],[]]],[[]],[]]
[4,8,3,5,7,1,2,6]=>[5,1,6,4,2,8,7,3]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>[[[],[[],[]]],[],[[]]]
[5,8,2,4,7,1,3,6]=>[4,1,7,5,2,8,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[],[]],[[],[]],[]]
[3,8,2,6,7,1,4,5]=>[6,1,7,3,2,8,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[[[],[[]],[[]]],[],[]]
[4,8,3,6,7,1,2,5]=>[5,1,6,3,2,8,7,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[[[],[[]],[]],[],[[]]]
[5,8,2,6,7,1,3,4]=>[4,1,7,3,2,8,6,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[[[],[[]]],[[[]]],[]]
[5,8,4,6,7,1,2,3]=>[4,1,5,3,2,8,7,6]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[[[],[[]]],[],[[[]]]]
[6,8,3,4,7,1,2,5]=>[3,1,6,5,2,8,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]
[6,8,2,5,7,1,3,4]=>[3,1,7,4,2,8,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[],[[]]],[]]
[7,8,2,4,6,1,3,5]=>[2,1,7,5,3,8,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[[[]],[[[],[]],[]],[]]
[7,8,3,4,6,1,2,5]=>[2,1,6,5,3,8,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[[[]],[[[],[]]],[[]]]
[7,8,2,5,6,1,3,4]=>[2,1,7,4,3,8,6,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[[[]],[[[]],[[]]],[]]
[4,3,2,6,8,1,5,7]=>[5,6,7,3,1,8,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]
[5,3,2,6,8,1,4,7]=>[4,6,7,3,1,8,5,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]
[5,4,2,6,8,1,3,7]=>[4,5,7,3,1,8,6,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[[[[],[]]],[],[[]],[]]
[5,4,3,6,8,1,2,7]=>[4,5,6,3,1,8,7,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[[[[],[]]],[],[],[[]]]
[6,3,2,5,8,1,4,7]=>[3,6,7,4,1,8,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[],[]],[],[]]
[6,4,3,5,8,1,2,7]=>[3,5,6,4,1,8,7,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]
[6,5,2,4,8,1,3,7]=>[3,4,7,5,1,8,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[],[[],[]],[]]
[4,3,2,7,8,1,5,6]=>[5,6,7,2,1,8,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]
[5,3,2,7,8,1,4,6]=>[4,6,7,2,1,8,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[5,4,2,7,8,1,3,6]=>[4,5,7,2,1,8,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]
[5,4,3,7,8,1,2,6]=>[4,5,6,2,1,8,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[]],[]],[],[],[[]]]
[6,4,2,7,8,1,3,5]=>[3,5,7,2,1,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[6,4,3,7,8,1,2,5]=>[3,5,6,2,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[6,5,2,7,8,1,3,4]=>[3,4,7,2,1,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[]]],[],[[[]]],[]]
[6,5,3,7,8,1,2,4]=>[3,4,6,2,1,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[[[[]]],[],[[]],[[]]]
[7,4,2,5,8,1,3,6]=>[2,5,7,4,1,8,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[7,5,2,4,8,1,3,6]=>[2,4,7,5,1,8,6,3]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[[[]],[[]],[[],[]],[]]
[7,6,2,4,8,1,3,5]=>[2,3,7,5,1,8,6,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>[[[]],[],[[[]],[]],[]]
[7,6,3,4,8,1,2,5]=>[2,3,6,5,1,8,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[[[]],[],[[[]]],[[]]]
[7,6,3,5,8,1,2,4]=>[2,3,6,4,1,8,7,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>[[[]],[],[[],[]],[[]]]
[8,3,2,5,7,1,4,6]=>[1,6,7,4,2,8,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[],[[[],[]],[]],[],[]]
[8,4,2,5,7,1,3,6]=>[1,5,7,4,2,8,6,3]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[[],[[[],[]]],[[]],[]]
[8,4,3,5,7,1,2,6]=>[1,5,6,4,2,8,7,3]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>[[],[[[],[]]],[],[[]]]
[8,5,2,4,7,1,3,6]=>[1,4,7,5,2,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[],[[],[]],[[],[]],[]]
[8,5,3,4,7,1,2,6]=>[1,4,6,5,2,8,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[],[[],[]],[[]],[[]]]
[8,3,2,6,7,1,4,5]=>[1,6,7,3,2,8,5,4]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[[],[[[]],[[]]],[],[]]
[8,4,3,6,7,1,2,5]=>[1,5,6,3,2,8,7,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[[],[[[]],[]],[],[[]]]
[8,5,2,6,7,1,3,4]=>[1,4,7,3,2,8,6,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[[],[[[]]],[[[]]],[]]
[8,5,3,6,7,1,2,4]=>[1,4,6,3,2,8,7,5]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[[],[[[]]],[[]],[[]]]
[8,6,2,5,7,1,3,4]=>[1,3,7,4,2,8,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[[],[[]],[[],[[]]],[]]
[8,6,3,5,7,1,2,4]=>[1,3,6,4,2,8,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[],[[]],[[],[]],[[]]]
[8,7,2,4,6,1,3,5]=>[1,2,7,5,3,8,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[[],[],[[[],[]],[]],[]]
[8,7,3,4,6,1,2,5]=>[1,2,6,5,3,8,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>[[],[],[[[],[]]],[[]]]
[8,7,2,5,6,1,3,4]=>[1,2,7,4,3,8,6,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>[[],[],[[[]],[[]]],[]]
[4,3,7,2,6,1,5,8]=>[5,6,2,7,3,8,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[5,4,7,2,6,1,3,8]=>[4,5,2,7,3,8,6,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]
[6,3,7,2,5,1,4,8]=>[3,6,2,7,4,8,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]
[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[6,4,7,3,5,1,2,8]=>[3,5,2,6,4,8,7,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[6,5,7,2,4,1,3,8]=>[3,4,2,7,5,8,6,1]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[[[[]]],[],[[],[]],[]]
[4,3,8,2,6,1,5,7]=>[5,6,1,7,3,8,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[[[],[[]],[]],[],[],[]]
[5,3,8,2,6,1,4,7]=>[4,6,1,7,3,8,5,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[],[[]]],[[]],[],[]]
[6,4,8,2,5,1,3,7]=>[3,5,1,7,4,8,6,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[]],[[]],[]]
[6,5,8,2,4,1,3,7]=>[3,4,1,7,5,8,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[],[[],[]],[]]
[6,5,8,3,4,1,2,7]=>[3,4,1,6,5,8,7,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[],[[]],[[]]]
[4,3,8,2,7,1,5,6]=>[5,6,1,7,2,8,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[[[],[],[[]]],[],[],[]]
[5,4,8,2,7,1,3,6]=>[4,5,1,7,2,8,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[[[],[],[]],[],[[]],[]]
[5,4,8,3,7,1,2,6]=>[4,5,1,6,2,8,7,3]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[[[],[],[]],[],[],[[]]]
[6,4,8,2,7,1,3,5]=>[3,5,1,7,2,8,6,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[]],[[]],[]]
[6,4,8,3,7,1,2,5]=>[3,5,1,6,2,8,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]
[6,5,8,4,7,1,2,3]=>[3,4,1,5,2,8,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[[[],[]],[],[],[[[]]]]
[7,3,8,2,5,1,4,6]=>[2,6,1,7,4,8,5,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[]],[],[]]
[7,5,8,2,4,1,3,6]=>[2,4,1,7,5,8,6,3]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[[[]],[[]],[[],[]],[]]
[7,5,8,3,4,1,2,6]=>[2,4,1,6,5,8,7,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[[]],[[]],[[]],[[]]]
[7,4,8,2,6,1,3,5]=>[2,5,1,7,3,8,6,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[]],[[],[]],[[]],[]]
[7,5,8,2,6,1,3,4]=>[2,4,1,7,3,8,6,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[[]],[[]],[[[]]],[]]
[7,6,8,2,4,1,3,5]=>[2,3,1,7,5,8,6,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>[[[]],[],[[[]],[]],[]]
[7,6,8,2,5,1,3,4]=>[2,3,1,7,4,8,6,5]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>[[[]],[],[[],[[]]],[]]
[8,3,6,2,5,1,4,7]=>[1,6,3,7,4,8,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[],[[[]],[],[]],[],[]]
[8,4,6,2,5,1,3,7]=>[1,5,3,7,4,8,6,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[],[[[]],[]],[[]],[]]
[8,3,7,2,5,1,4,6]=>[1,6,2,7,4,8,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[],[[],[[]],[]],[],[]]
[8,4,7,2,5,1,3,6]=>[1,5,2,7,4,8,6,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[],[[],[[]]],[[]],[]]
[8,4,7,3,5,1,2,6]=>[1,5,2,6,4,8,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[[],[[],[[]]],[],[[]]]
[8,5,7,2,4,1,3,6]=>[1,4,2,7,5,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[],[[],[]],[[],[]],[]]
[8,5,7,3,4,1,2,6]=>[1,4,2,6,5,8,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[],[[],[]],[[]],[[]]]
[8,3,7,2,6,1,4,5]=>[1,6,2,7,3,8,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[[],[[],[],[[]]],[],[]]
[8,4,7,2,6,1,3,5]=>[1,5,2,7,3,8,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[[],[[],[],[]],[[]],[]]
[8,4,7,3,6,1,2,5]=>[1,5,2,6,3,8,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[],[[],[],[]],[],[[]]]
[8,5,7,2,6,1,3,4]=>[1,4,2,7,3,8,6,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[],[[],[]],[[[]]],[]]
[8,5,7,4,6,1,2,3]=>[1,4,2,5,3,8,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[[],[[],[]],[],[[[]]]]
[8,6,7,2,4,1,3,5]=>[1,3,2,7,5,8,6,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[],[[]],[[[]],[]],[]]
[8,6,7,2,5,1,3,4]=>[1,3,2,7,4,8,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[[],[[]],[[],[[]]],[]]
[8,6,7,3,5,1,2,4]=>[1,3,2,6,4,8,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[],[[]],[[],[]],[[]]]
[5,4,3,2,7,1,6,8]=>[4,5,6,7,2,8,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[6,5,3,2,7,1,4,8]=>[3,4,6,7,2,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[6,5,4,2,7,1,3,8]=>[3,4,5,7,2,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[[[]]],[],[],[[]],[]]
[7,5,3,2,6,1,4,8]=>[2,4,6,7,3,8,5,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[7,5,4,2,6,1,3,8]=>[2,4,5,7,3,8,6,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[]],[[]],[],[[]],[]]
[7,6,4,2,5,1,3,8]=>[2,3,5,7,4,8,6,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[[[]],[],[[]],[[]],[]]
[7,6,5,2,4,1,3,8]=>[2,3,4,7,5,8,6,1]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[[[]],[],[],[[],[]],[]]
[5,4,3,2,8,1,6,7]=>[4,5,6,7,1,8,3,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[[[],[[]]],[],[],[],[]]
[6,4,3,2,8,1,5,7]=>[3,5,6,7,1,8,4,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[]],[],[],[]]
[6,5,3,2,8,1,4,7]=>[3,4,6,7,1,8,5,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[],[[]],[],[]]
[6,5,4,3,8,1,2,7]=>[3,4,5,6,1,8,7,2]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[[[],[]],[],[],[],[[]]]
[7,4,3,2,8,1,5,6]=>[2,5,6,7,1,8,4,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[7,5,4,2,8,1,3,6]=>[2,4,5,7,1,8,6,3]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[]],[[]],[],[[]],[]]
[7,5,4,3,8,1,2,6]=>[2,4,5,6,1,8,7,3]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[[]],[[]],[],[],[[]]]
[7,6,3,2,8,1,4,5]=>[2,3,6,7,1,8,5,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[[[]],[],[[[]]],[],[]]
[7,6,5,3,8,1,2,4]=>[2,3,4,6,1,8,7,5]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[[[]],[],[],[[]],[[]]]
[8,5,3,2,6,1,4,7]=>[1,4,6,7,3,8,5,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[],[[[]]],[[]],[],[]]
[8,5,4,2,6,1,3,7]=>[1,4,5,7,3,8,6,2]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[[],[[[]]],[],[[]],[]]
[8,6,3,2,5,1,4,7]=>[1,3,6,7,4,8,5,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[],[[]],[[],[]],[],[]]
[8,6,4,2,5,1,3,7]=>[1,3,5,7,4,8,6,2]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[],[[]],[[]],[[]],[]]
[8,4,3,2,7,1,5,6]=>[1,5,6,7,2,8,4,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[],[[],[[]]],[],[],[]]
[8,7,3,2,5,1,4,6]=>[1,2,6,7,4,8,5,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>[[],[],[[[]],[]],[],[]]
[8,7,4,2,5,1,3,6]=>[1,2,5,7,4,8,6,3]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[[],[],[[[]]],[[]],[]]
[8,7,5,2,4,1,3,6]=>[1,2,4,7,5,8,6,3]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[],[],[[]],[[],[]],[]]
[8,7,3,2,6,1,4,5]=>[1,2,6,7,3,8,5,4]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>[[],[],[[],[[]]],[],[]]
[8,7,4,2,6,1,3,5]=>[1,2,5,7,3,8,6,4]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[],[],[[],[]],[[]],[]]
[8,7,4,3,6,1,2,5]=>[1,2,5,6,3,8,7,4]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[[],[],[[],[]],[],[[]]]
[8,7,5,2,6,1,3,4]=>[1,2,4,7,3,8,6,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[[],[],[[]],[[[]]],[]]
[8,7,5,3,6,1,2,4]=>[1,2,4,6,3,8,7,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[],[],[[]],[[]],[[]]]
[8,7,6,2,4,1,3,5]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[[],[],[],[[[]],[]],[]]
[8,7,6,2,5,1,3,4]=>[1,2,3,7,4,8,6,5]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[[],[],[],[[],[[]]],[]]
[8,7,6,3,5,1,2,4]=>[1,2,3,6,4,8,7,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[],[],[],[[],[]],[[]]]
[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[[[],[],[],[]],[],[],[]]
[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[],[]],[[]],[],[]]
[5,8,4,7,2,6,1,3]=>[4,1,5,2,7,3,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[[[],[],[]],[],[[]],[]]
[5,8,4,7,3,6,1,2]=>[4,1,5,2,6,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[[[],[],[]],[],[],[[]]]
[6,8,3,7,2,5,1,4]=>[3,1,6,2,7,4,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[],[]],[],[]]
[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[]],[[]],[]]
[6,8,4,7,3,5,1,2]=>[3,1,5,2,6,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]
[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[],[[],[]],[]]
[6,8,5,7,3,4,1,2]=>[3,1,4,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[],[[]],[[]]]
[7,8,3,6,2,5,1,4]=>[2,1,6,3,7,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[]],[[],[],[]],[],[]]
[7,8,4,6,2,5,1,3]=>[2,1,5,3,7,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[]],[[],[]],[[]],[]]
[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[[[]],[[],[]],[],[[]]]
[7,8,5,6,2,4,1,3]=>[2,1,4,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[[[]],[[]],[[],[]],[]]
[5,4,3,8,2,7,1,6]=>[4,5,6,1,7,2,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[[[],[],[]],[],[],[],[]]
[6,4,3,8,2,7,1,5]=>[3,5,6,1,7,2,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[]],[],[],[]]
[6,5,3,8,2,7,1,4]=>[3,4,6,1,7,2,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[],[[]],[],[]]
[6,5,4,8,3,7,1,2]=>[3,4,5,1,6,2,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[[[],[]],[],[],[],[[]]]
[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[7,5,4,8,2,6,1,3]=>[2,4,5,1,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[]],[[]],[],[[]],[]]
[7,5,4,8,3,6,1,2]=>[2,4,5,1,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[[]],[[]],[],[],[[]]]
[7,6,4,8,2,5,1,3]=>[2,3,5,1,7,4,8,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[[[]],[],[[]],[[]],[]]
[7,6,4,8,3,5,1,2]=>[2,3,5,1,6,4,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[[[]],[],[[]],[],[[]]]
[7,6,5,8,2,4,1,3]=>[2,3,4,1,7,5,8,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[[[]],[],[],[[],[]],[]]
[8,5,3,7,2,6,1,4]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[],[[],[]],[[]],[],[]]
[8,5,4,7,2,6,1,3]=>[1,4,5,2,7,3,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[],[[],[]],[],[[]],[]]
[8,5,4,7,3,6,1,2]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[],[[],[]],[],[],[[]]]
[8,6,3,7,2,5,1,4]=>[1,3,6,2,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[],[[]],[[],[]],[],[]]
[8,6,4,7,2,5,1,3]=>[1,3,5,2,7,4,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[],[[]],[[]],[[]],[]]
[8,6,4,7,3,5,1,2]=>[1,3,5,2,6,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[],[[]],[[]],[],[[]]]
[8,6,5,7,2,4,1,3]=>[1,3,4,2,7,5,8,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[[],[[]],[],[[],[]],[]]
[8,7,3,6,2,5,1,4]=>[1,2,6,3,7,4,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[],[],[[],[],[]],[],[]]
[8,7,4,6,2,5,1,3]=>[1,2,5,3,7,4,8,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[[],[],[[],[]],[[]],[]]
[8,7,4,6,3,5,1,2]=>[1,2,5,3,6,4,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[[],[],[[],[]],[],[[]]]
[8,7,5,6,2,4,1,3]=>[1,2,4,3,7,5,8,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[],[],[[]],[[],[]],[]]
[6,5,4,3,2,8,1,7]=>[3,4,5,6,7,1,8,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[[[],[]],[],[],[],[],[]]
[7,6,4,3,2,8,1,5]=>[2,3,5,6,7,1,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[[]],[],[[]],[],[],[]]
[7,6,5,4,2,8,1,3]=>[2,3,4,5,7,1,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[[[]],[],[],[],[[]],[]]
[8,5,4,3,2,7,1,6]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[],[[],[]],[],[],[],[]]
[8,6,4,3,2,7,1,5]=>[1,3,5,6,7,2,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[],[[]],[[]],[],[],[]]
[8,6,5,3,2,7,1,4]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[],[[]],[],[[]],[],[]]
[8,7,4,3,2,6,1,5]=>[1,2,5,6,7,3,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[[],[],[[],[]],[],[],[]]
[8,7,5,4,2,6,1,3]=>[1,2,4,5,7,3,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[[],[],[[]],[],[[]],[]]
[8,7,6,3,2,5,1,4]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[],[],[],[[],[]],[],[]]
[8,7,6,4,2,5,1,3]=>[1,2,3,5,7,4,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[],[],[],[[]],[[]],[]]
[8,7,6,5,2,4,1,3]=>[1,2,3,4,7,5,8,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[],[],[],[],[[],[]],[]]
[8,1,2,3,4,7,5,6]=>[1,8,7,6,5,2,4,3]=>[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[[],[[[[[],[[]]]]]]]
[8,1,2,3,6,4,5,7]=>[1,8,7,6,3,5,4,2]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[[],[[[[[]],[[]]]]]]
[8,1,2,3,7,4,5,6]=>[1,8,7,6,2,5,4,3]=>[.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[[],[[[[],[[[]]]]]]]
[7,1,2,3,6,4,8,5]=>[2,8,7,6,3,5,1,4]=>[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[[[]],[[[[],[[]]]]]]
[5,1,2,3,8,7,4,6]=>[4,8,7,6,1,2,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[],[],[]],[[[[]]]]]
[8,1,2,3,6,7,4,5]=>[1,8,7,6,3,2,5,4]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[[],[[[[[]],[[]]]]]]
[4,1,2,8,3,7,5,6]=>[5,8,7,1,6,2,4,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[[[],[],[[]]],[[[]]]]
[8,1,2,5,3,4,6,7]=>[1,8,7,4,6,5,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>[[],[[[[[]]],[[]]]]]
[8,1,2,6,3,4,5,7]=>[1,8,7,3,6,5,4,2]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[[],[[[[]],[[[]]]]]]
[7,1,2,6,3,4,8,5]=>[2,8,7,3,6,5,1,4]=>[[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[[[]],[[[],[[[]]]]]]
[8,1,2,6,3,7,4,5]=>[1,8,7,3,6,2,5,4]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[[],[[[[]],[[[]]]]]]
[4,1,2,8,6,3,5,7]=>[5,8,7,1,3,6,4,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[[[],[[]],[]],[[[]]]]
[4,1,2,8,7,3,5,6]=>[5,8,7,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[[[],[],[[]]],[[[]]]]
[4,1,2,7,6,3,8,5]=>[5,8,7,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[]],[],[]],[[[]]]]
[8,1,2,5,6,3,4,7]=>[1,8,7,4,3,6,5,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>[[],[[[[[]]],[[]]]]]
[8,1,2,5,7,3,4,6]=>[1,8,7,4,2,6,5,3]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]]=>[[],[[[[],[]],[[]]]]]
[8,1,2,7,6,3,4,5]=>[1,8,7,2,3,6,5,4]=>[.,[[[.,[.,[[[.,.],.],.]]],.],.]]=>[[],[[[],[],[[[]]]]]]
[7,1,2,5,6,3,8,4]=>[2,8,7,4,3,6,1,5]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[[[]],[[[[]],[[]]]]]
[4,1,2,5,8,7,3,6]=>[5,8,7,4,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[[[[],[],[]]],[[[]]]]
[8,1,2,5,6,7,3,4]=>[1,8,7,4,3,2,6,5]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>[[],[[[[[]]],[[]]]]]
[3,1,8,2,4,7,5,6]=>[6,8,1,7,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[[[],[[],[[]]]],[[]]]
[3,1,8,2,6,4,5,7]=>[6,8,1,7,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[[],[[]],[[]]],[[]]]
[3,1,8,2,7,4,5,6]=>[6,8,1,7,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[[[],[],[[[]]]],[[]]]
[3,1,7,2,6,4,8,5]=>[6,8,2,7,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[[[[]],[],[[]]],[[]]]
[3,1,5,2,8,7,4,6]=>[6,8,4,7,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[],[]],[]],[[]]]
[3,1,8,2,6,7,4,5]=>[6,8,1,7,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[[],[[]],[[]]],[[]]]
[8,1,4,2,3,5,6,7]=>[1,8,5,7,6,4,3,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[[],[[[[[]]]],[[]]]]
[7,1,4,2,3,5,8,6]=>[2,8,5,7,6,4,1,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[[[]],[[[[]]],[[]]]]
[8,1,4,2,3,7,5,6]=>[1,8,5,7,6,2,4,3]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>[[],[[[],[[]]],[[]]]]
[8,1,5,2,3,4,6,7]=>[1,8,4,7,6,5,3,2]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[[],[[[[]]],[[[]]]]]
[8,1,7,2,3,4,5,6]=>[1,8,2,7,6,5,4,3]=>[.,[[.,[[[[[.,.],.],.],.],.]],.]]=>[[],[[],[[[[[]]]]]]]
[6,1,5,2,3,8,4,7]=>[3,8,4,7,6,1,5,2]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[[[],[]],[[],[[[]]]]]
[8,1,5,2,3,7,4,6]=>[1,8,4,7,6,2,5,3]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>[[],[[[],[]],[[[]]]]]
[6,1,8,2,3,7,4,5]=>[3,8,1,7,6,2,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[[[],[]],[[[[[]]]]]]
[5,1,4,2,8,3,6,7]=>[4,8,5,7,1,6,3,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[[[],[[]]],[[],[[]]]]
[5,1,4,2,7,3,8,6]=>[4,8,5,7,2,6,1,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[[[[]],[]],[[],[[]]]]
[8,1,4,2,6,3,5,7]=>[1,8,5,7,3,6,4,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[[],[[[[]],[]],[[]]]]
[7,1,4,2,6,3,8,5]=>[2,8,5,7,3,6,1,4]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>[[[]],[[[],[]],[[]]]]
[8,1,5,2,6,3,4,7]=>[1,8,4,7,3,6,5,2]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[[],[[[[]]],[[[]]]]]
[8,1,5,2,7,3,4,6]=>[1,8,4,7,2,6,5,3]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>[[],[[[],[]],[[[]]]]]
[7,1,5,2,6,3,8,4]=>[2,8,4,7,3,6,1,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[[[]],[[[]],[[[]]]]]
[5,1,4,2,6,8,3,7]=>[4,8,5,7,3,1,6,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[[[[],[]]],[[],[[]]]]
[5,1,4,2,8,7,3,6]=>[4,8,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[[[],[],[]],[[],[[]]]]
[8,1,5,2,6,7,3,4]=>[1,8,4,7,3,2,6,5]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[[],[[[[]]],[[[]]]]]
[5,1,4,2,6,7,8,3]=>[4,8,5,7,3,2,1,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[[[[[]]]],[[],[[]]]]
[3,1,4,8,2,7,5,6]=>[6,8,5,1,7,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[[[[],[],[[]]]],[[]]]
[3,1,7,5,2,4,8,6]=>[6,8,2,4,7,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[[[]],[[]],[]],[[]]]
[3,1,8,6,2,4,5,7]=>[6,8,1,3,7,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[[],[[]],[[]]],[[]]]
[3,1,7,6,2,4,8,5]=>[6,8,2,3,7,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[[[[]],[],[[]]],[[]]]
[3,1,8,5,2,7,4,6]=>[6,8,1,4,7,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[[[],[[],[]],[]],[[]]]
[3,1,8,6,2,7,4,5]=>[6,8,1,3,7,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[[],[[]],[[]]],[[]]]
[8,1,4,5,2,3,6,7]=>[1,8,5,4,7,6,3,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[[],[[[[[]]]],[[]]]]
[7,1,4,5,2,3,8,6]=>[2,8,5,4,7,6,1,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[[[]],[[[[]]],[[]]]]
[7,1,4,8,2,3,5,6]=>[2,8,5,1,7,6,4,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[[[]],[[[[]]],[[]]]]
[8,1,6,5,2,3,4,7]=>[1,8,3,4,7,6,5,2]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[[],[[[]],[],[[[]]]]]
[7,1,8,5,2,3,4,6]=>[2,8,1,4,7,6,5,3]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[[[]],[[[]],[[[]]]]]
[7,1,8,6,2,3,4,5]=>[2,8,1,3,7,6,5,4]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[[[]],[[],[[[[]]]]]]
[7,1,6,5,2,3,8,4]=>[2,8,3,4,7,6,1,5]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[[[]],[[],[],[[[]]]]]
[8,1,4,5,2,7,3,6]=>[1,8,5,4,7,2,6,3]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[[],[[[[],[]]],[[]]]]
[8,1,4,6,2,7,3,5]=>[1,8,5,3,7,2,6,4]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[[],[[[[]],[]],[[]]]]
[8,1,6,5,2,7,3,4]=>[1,8,3,4,7,2,6,5]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[[],[[[]],[],[[[]]]]]
[6,1,4,5,2,7,8,3]=>[3,8,5,4,7,2,1,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[[[[]]],[[[]],[[]]]]
[3,1,4,8,7,2,5,6]=>[6,8,5,1,2,7,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[[[[],[],[[]]]],[[]]]
[3,1,8,5,6,2,4,7]=>[6,8,1,4,3,7,5,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[[[],[[[]]],[]],[[]]]
[3,1,8,5,7,2,4,6]=>[6,8,1,4,2,7,5,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[[[],[[],[]],[]],[[]]]
[3,1,7,5,6,2,8,4]=>[6,8,2,4,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[[[]],[[]],[]],[[]]]
[8,1,4,5,7,2,3,6]=>[1,8,5,4,2,7,6,3]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[[],[[[[],[]]],[[]]]]
[8,1,4,7,6,2,3,5]=>[1,8,5,2,3,7,6,4]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[[],[[[],[],[]],[[]]]]
[8,1,7,5,6,2,3,4]=>[1,8,2,4,3,7,6,5]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>[[],[[],[[]],[[[]]]]]
[7,1,4,5,6,2,8,3]=>[2,8,5,4,3,7,1,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[[[]],[[[[]]],[[]]]]
[3,1,4,5,8,7,2,6]=>[6,8,5,4,1,2,7,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[[[[[],[],[]]]],[[]]]
[3,1,4,8,6,7,2,5]=>[6,8,5,1,3,2,7,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[[[[],[[]],[]]],[[]]]
[3,1,8,5,6,7,2,4]=>[6,8,1,4,3,2,7,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[[[],[[[]]],[]],[[]]]
[8,1,4,5,6,7,2,3]=>[1,8,5,4,3,2,7,6]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[[],[[[[[]]]],[[]]]]
[2,8,1,3,4,7,5,6]=>[7,1,8,6,5,2,4,3]=>[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>[[[],[[[],[[]]]]],[]]
[2,8,1,3,6,4,5,7]=>[7,1,8,6,3,5,4,2]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>[[[],[[[]],[[]]]],[]]
[2,8,1,3,7,4,5,6]=>[7,1,8,6,2,5,4,3]=>[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>[[[],[[],[[[]]]]],[]]
[2,7,1,3,6,4,8,5]=>[7,2,8,6,3,5,1,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[[[[]],[[],[[]]]],[]]
[2,5,1,3,8,7,4,6]=>[7,4,8,6,1,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[],[]],[[]]],[]]
[2,4,1,8,3,7,5,6]=>[7,5,8,1,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[[[[],[],[[]]],[]],[]]
[2,8,1,5,3,4,6,7]=>[7,1,8,4,6,5,3,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[[[],[[[]]],[[]]],[]]
[2,7,1,5,3,4,8,6]=>[7,2,8,4,6,5,1,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[[[[]],[[]],[[]]],[]]
[2,8,1,6,3,4,5,7]=>[7,1,8,3,6,5,4,2]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>[[[],[[]],[[[]]]],[]]
[2,7,1,6,3,4,8,5]=>[7,2,8,3,6,5,1,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>[[[[]],[],[[[]]]],[]]
[2,6,1,5,3,8,4,7]=>[7,3,8,4,6,1,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[],[[]]],[]]
[2,6,1,5,3,7,8,4]=>[7,3,8,4,6,2,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[[[[[]]],[],[[]]],[]]
[2,4,1,8,6,3,5,7]=>[7,5,8,1,3,6,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[[[[],[[]],[]],[]],[]]
[2,4,1,8,7,3,5,6]=>[7,5,8,1,2,6,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[[[[],[],[[]]],[]],[]]
[2,8,1,5,6,3,4,7]=>[7,1,8,4,3,6,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[[[],[[[]]],[[]]],[]]
[2,8,1,5,7,3,4,6]=>[7,1,8,4,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[],[]],[[]]],[]]
[2,8,1,7,6,3,4,5]=>[7,1,8,2,3,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[[[],[],[],[[[]]]],[]]
[2,7,1,5,6,3,8,4]=>[7,2,8,4,3,6,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[[[[]],[[]],[[]]],[]]
[2,4,1,5,8,7,3,6]=>[7,5,8,4,1,2,6,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[[[[[],[],[]]],[]],[]]
[2,8,1,5,6,7,3,4]=>[7,1,8,4,3,2,6,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[[[],[[[]]],[[]]],[]]
[7,3,1,2,4,5,8,6]=>[2,6,8,7,5,4,1,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[[[]],[[[[]]]],[[]]]
[8,3,1,2,4,7,5,6]=>[1,6,8,7,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[[],[[[],[[]]]],[[]]]
[6,3,1,2,4,7,8,5]=>[3,6,8,7,5,2,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[5,3,1,2,7,4,8,6]=>[4,6,8,7,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[8,3,1,2,6,4,5,7]=>[1,6,8,7,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[[],[[[]],[[]]],[[]]]
[8,3,1,2,7,4,5,6]=>[1,6,8,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>[[],[[],[[[]]]],[[]]]
[7,3,1,2,6,4,8,5]=>[2,6,8,7,3,5,1,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[[]],[[],[[]]],[[]]]
[5,3,1,2,6,8,4,7]=>[4,6,8,7,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]
[5,3,1,2,6,7,8,4]=>[4,6,8,7,3,2,1,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[8,4,1,2,3,7,5,6]=>[1,5,8,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[[],[[],[[]]],[[[]]]]
[7,6,1,2,3,4,8,5]=>[2,3,8,7,6,5,1,4]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[[[]],[],[[[[[]]]]]]
[5,8,1,2,3,7,4,6]=>[4,1,8,7,6,2,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[],[],[]],[[[[]]]]]
[8,6,1,2,3,7,4,5]=>[1,3,8,7,6,2,5,4]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[[],[[]],[[[[[]]]]]]
[5,4,1,2,8,3,6,7]=>[4,5,8,7,1,6,3,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[[[],[[]]],[],[[[]]]]
[5,4,1,2,7,3,8,6]=>[4,5,8,7,2,6,1,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[[[]],[]],[],[[[]]]]
[8,4,1,2,7,3,5,6]=>[1,5,8,7,2,6,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[[],[[],[[]]],[[[]]]]
[7,4,1,2,6,3,8,5]=>[2,5,8,7,3,6,1,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[]],[[],[]],[[[]]]]
[5,8,1,2,7,3,4,6]=>[4,1,8,7,2,6,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[],[],[]],[[[[]]]]]
[8,7,1,2,6,3,4,5]=>[1,2,8,7,3,6,5,4]=>[.,[.,[[[.,[[[.,.],.],.]],.],.]]]=>[[],[],[[[],[[[]]]]]]
[5,7,1,2,6,3,8,4]=>[4,2,8,7,3,6,1,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[[[[]],[]],[[[[]]]]]
[5,4,1,2,8,7,3,6]=>[4,5,8,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[],[]],[],[[[]]]]
[8,4,1,2,6,7,3,5]=>[1,5,8,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[],[[[]],[]],[[[]]]]
[5,8,1,2,6,7,3,4]=>[4,1,8,7,3,2,6,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[[[],[[]]],[[[[]]]]]
[5,4,1,2,6,7,8,3]=>[4,5,8,7,3,2,1,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[[[[[]]]],[],[[[]]]]
[4,3,1,7,2,5,8,6]=>[5,6,8,2,7,4,1,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[[[[]],[[]]],[],[[]]]
[4,3,1,6,2,8,5,7]=>[5,6,8,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[[[[],[]],[]],[],[[]]]
[4,3,1,6,2,7,8,5]=>[5,6,8,3,7,2,1,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[]]],[]],[],[[]]]
[8,3,1,5,2,4,6,7]=>[1,6,8,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[[],[[[[]]],[]],[[]]]
[7,3,1,5,2,4,8,6]=>[2,6,8,4,7,5,1,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]
[7,3,1,8,2,4,5,6]=>[2,6,8,1,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[[[]],[[[[]]]],[[]]]
[7,3,1,6,2,4,8,5]=>[2,6,8,3,7,5,1,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[[]],[[],[[]]],[[]]]
[8,3,1,5,2,7,4,6]=>[1,6,8,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[],[[[],[]],[]],[[]]]
[8,3,1,6,2,7,4,5]=>[1,6,8,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[[],[[[]],[[]]],[[]]]
[6,3,1,5,2,7,8,4]=>[3,6,8,4,7,2,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]
[8,4,1,5,2,3,6,7]=>[1,5,8,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[[],[[[[]]]],[[[]]]]
[7,4,1,5,2,3,8,6]=>[2,5,8,4,7,6,1,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[[[]],[[[]]],[[[]]]]
[8,4,1,6,2,3,5,7]=>[1,5,8,3,7,6,4,2]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[],[[[]],[]],[[[]]]]
[7,4,1,8,2,3,5,6]=>[2,5,8,1,7,6,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[[[]],[[[]]],[[[]]]]
[7,4,1,6,2,3,8,5]=>[2,5,8,3,7,6,1,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[]],[[],[]],[[[]]]]
[8,7,1,5,2,3,4,6]=>[1,2,8,4,7,6,5,3]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>[[],[],[[[]],[[[]]]]]
[8,7,1,6,2,3,4,5]=>[1,2,8,3,7,6,5,4]=>[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[[],[],[[],[[[[]]]]]]
[6,7,1,5,2,3,8,4]=>[3,2,8,4,7,6,1,5]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[[[[]]],[[],[[[]]]]]
[6,4,1,5,2,8,3,7]=>[3,5,8,4,7,1,6,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[]],[[[]]]]
[8,4,1,5,2,7,3,6]=>[1,5,8,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[[],[[[],[]]],[[[]]]]
[8,4,1,6,2,7,3,5]=>[1,5,8,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[],[[[]],[]],[[[]]]]
[6,8,1,5,2,7,3,4]=>[3,1,8,4,7,2,6,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[[[],[]],[[],[[[]]]]]
[6,4,1,5,2,7,8,3]=>[3,5,8,4,7,2,1,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]
[4,3,1,8,7,2,5,6]=>[5,6,8,1,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[[[],[],[[]]],[],[[]]]
[4,3,1,7,6,2,8,5]=>[5,6,8,2,3,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[[[[]],[],[]],[],[[]]]
[8,3,1,5,6,2,4,7]=>[1,6,8,4,3,7,5,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[[],[[[[]]],[]],[[]]]
[8,3,1,5,7,2,4,6]=>[1,6,8,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[],[[[],[]],[]],[[]]]
[8,3,1,7,6,2,4,5]=>[1,6,8,2,3,7,5,4]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[],[[],[],[[]]],[[]]]
[7,3,1,5,6,2,8,4]=>[2,6,8,4,3,7,1,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]
[8,4,1,5,6,2,3,7]=>[1,5,8,4,3,7,6,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[[],[[[[]]]],[[[]]]]
[8,4,1,5,7,2,3,6]=>[1,5,8,4,2,7,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[[],[[[],[]]],[[[]]]]
[8,4,1,7,6,2,3,5]=>[1,5,8,2,3,7,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[],[[],[],[]],[[[]]]]
[7,8,1,5,6,2,3,4]=>[2,1,8,4,3,7,6,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[[[]],[[[]],[[[]]]]]
[7,4,1,5,6,2,8,3]=>[2,5,8,4,3,7,1,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[[[]],[[[]]],[[[]]]]
[4,3,1,5,6,8,2,7]=>[5,6,8,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[[[[[],[]]]],[],[[]]]
[4,3,1,5,8,7,2,6]=>[5,6,8,4,1,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[[[[],[],[]]],[],[[]]]
[4,3,1,8,6,7,2,5]=>[5,6,8,1,3,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[[[],[[]],[]],[],[[]]]
[8,3,1,5,6,7,2,4]=>[1,6,8,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[[],[[[[]]],[]],[[]]]
[8,4,1,5,6,7,2,3]=>[1,5,8,4,3,2,7,6]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[[],[[[[]]]],[[[]]]]
[4,3,1,5,6,7,8,2]=>[5,6,8,4,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[[[[[[]]]]],[],[[]]]
[2,3,8,1,7,4,5,6]=>[7,6,1,8,2,5,4,3]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[[[[],[],[[[]]]]],[]]
[2,3,7,1,6,4,8,5]=>[7,6,2,8,3,5,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>[[[[[]],[],[[]]]],[]]
[2,3,5,1,8,7,4,6]=>[7,6,4,8,1,2,5,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[[[[[],[],[]],[]]],[]]
[2,3,8,1,6,7,4,5]=>[7,6,1,8,3,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[[[[],[[]],[[]]]],[]]
[2,8,4,1,3,5,6,7]=>[7,1,5,8,6,4,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>[[[],[[[[]]]],[]],[]]
[2,7,4,1,3,5,8,6]=>[7,2,5,8,6,4,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[]],[[[]]],[]],[]]
[2,6,4,1,3,8,5,7]=>[7,3,5,8,6,1,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[]],[]],[]]
[2,6,4,1,3,7,8,5]=>[7,3,5,8,6,2,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[2,7,5,1,3,4,8,6]=>[7,2,4,8,6,5,1,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[[[[]],[[]],[[]]],[]]
[2,8,7,1,3,4,5,6]=>[7,1,2,8,6,5,4,3]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[[[],[],[[[[]]]]],[]]
[2,8,5,1,3,7,4,6]=>[7,1,4,8,6,2,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[],[]],[[]]],[]]
[2,6,8,1,3,7,4,5]=>[7,3,1,8,6,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[]]]],[]]
[2,6,5,1,3,7,8,4]=>[7,3,4,8,6,2,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[[[[[]]],[],[[]]],[]]
[2,5,4,1,8,3,6,7]=>[7,4,5,8,1,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[[[[],[[]]],[],[]],[]]
[2,8,4,1,6,3,5,7]=>[7,1,5,8,3,6,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[[]],[]],[]],[]]
[2,8,4,1,7,3,5,6]=>[7,1,5,8,2,6,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>[[[],[[],[[]]],[]],[]]
[2,7,4,1,6,3,8,5]=>[7,2,5,8,3,6,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[[[[]],[[],[]],[]],[]]
[2,8,5,1,6,3,4,7]=>[7,1,4,8,3,6,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[[[],[[[]]],[[]]],[]]
[2,8,5,1,7,3,4,6]=>[7,1,4,8,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[],[]],[[]]],[]]
[2,7,8,1,6,3,4,5]=>[7,2,1,8,3,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>[[[[]],[],[[[]]]],[]]
[2,7,5,1,6,3,8,4]=>[7,2,4,8,3,6,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[[[[]],[[]],[[]]],[]]
[2,5,4,1,8,7,3,6]=>[7,4,5,8,1,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[[[[],[],[]],[],[]],[]]
[2,8,4,1,6,7,3,5]=>[7,1,5,8,3,2,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[[]],[]],[]],[]]
[2,8,5,1,6,7,3,4]=>[7,1,4,8,3,2,6,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[[[],[[[]]],[[]]],[]]
[2,5,4,1,6,7,8,3]=>[7,4,5,8,3,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[6,3,4,1,2,8,5,7]=>[3,6,5,8,7,1,4,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]
[8,3,4,1,2,7,5,6]=>[1,6,5,8,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[[],[[[],[[]]]],[[]]]
[6,3,4,1,2,7,8,5]=>[3,6,5,8,7,2,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[7,3,5,1,2,4,8,6]=>[2,6,4,8,7,5,1,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]
[6,3,7,1,2,4,8,5]=>[3,6,2,8,7,5,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[6,3,5,1,2,8,4,7]=>[3,6,4,8,7,1,5,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[],[]],[[]]]
[8,3,5,1,2,7,4,6]=>[1,6,4,8,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[],[[[],[]],[]],[[]]]
[6,3,8,1,2,7,4,5]=>[3,6,1,8,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]
[6,3,5,1,2,7,8,4]=>[3,6,4,8,7,2,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]
[7,5,4,1,2,3,8,6]=>[2,4,5,8,7,6,1,3]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[[[]],[[]],[],[[[]]]]
[6,7,4,1,2,3,8,5]=>[3,2,5,8,7,6,1,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]
[6,8,5,1,2,3,4,7]=>[3,1,4,8,7,6,5,2]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[],[]],[],[[[[]]]]]
[6,7,5,1,2,3,8,4]=>[3,2,4,8,7,6,1,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[[[[]]],[],[[[[]]]]]
[8,5,4,1,2,7,3,6]=>[1,4,5,8,7,2,6,3]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[[],[[],[]],[],[[[]]]]
[6,8,4,1,2,7,3,5]=>[3,1,5,8,7,2,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[]],[[[]]]]
[6,8,5,1,2,7,3,4]=>[3,1,4,8,7,2,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[],[]],[],[[[[]]]]]
[6,5,4,1,2,7,8,3]=>[3,4,5,8,7,2,1,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[[[[]]],[],[],[[[]]]]
[5,3,4,1,8,2,6,7]=>[4,6,5,8,1,7,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[[]]],[[]],[[]]]
[8,3,4,1,6,2,5,7]=>[1,6,5,8,3,7,4,2]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>[[],[[[[]],[]]],[[]]]
[8,3,4,1,7,2,5,6]=>[1,6,5,8,2,7,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[[],[[[],[[]]]],[[]]]
[7,3,4,1,6,2,8,5]=>[2,6,5,8,3,7,1,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[[[]],[[[],[]]],[[]]]
[8,3,5,1,6,2,4,7]=>[1,6,4,8,3,7,5,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[[],[[[[]]],[]],[[]]]
[8,3,5,1,7,2,4,6]=>[1,6,4,8,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[],[[[],[]],[]],[[]]]
[7,3,8,1,6,2,4,5]=>[2,6,1,8,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[[]],[[],[[]]],[[]]]
[7,3,5,1,6,2,8,4]=>[2,6,4,8,3,7,1,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]
[8,5,4,1,6,2,3,7]=>[1,4,5,8,3,7,6,2]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[[],[[[]]],[],[[[]]]]
[8,5,4,1,7,2,3,6]=>[1,4,5,8,2,7,6,3]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[[],[[],[]],[],[[[]]]]
[7,8,4,1,6,2,3,5]=>[2,1,5,8,3,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[]],[[],[]],[[[]]]]
[7,8,5,1,6,2,3,4]=>[2,1,4,8,3,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[[[]],[[]],[[[[]]]]]
[7,5,4,1,6,2,8,3]=>[2,4,5,8,3,7,1,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[[[]],[[]],[],[[[]]]]
[5,3,4,1,6,8,2,7]=>[4,6,5,8,3,1,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]
[5,3,4,1,8,7,2,6]=>[4,6,5,8,1,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[],[]],[[]],[[]]]
[8,3,4,1,6,7,2,5]=>[1,6,5,8,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>[[],[[[[]],[]]],[[]]]
[8,3,5,1,6,7,2,4]=>[1,6,4,8,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[[],[[[[]]],[]],[[]]]
[8,5,4,1,6,7,2,3]=>[1,4,5,8,3,2,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[[],[[[]]],[],[[[]]]]
[5,3,4,1,6,7,8,2]=>[4,6,5,8,3,2,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[2,3,4,8,1,7,5,6]=>[7,6,5,1,8,2,4,3]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>[[[[[],[],[[]]]]],[]]
[2,3,7,5,1,4,8,6]=>[7,6,2,4,8,5,1,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[[[[[]],[[]],[]]],[]]
[2,3,8,6,1,4,5,7]=>[7,6,1,3,8,5,4,2]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[[[[],[[]],[[]]]],[]]
[2,3,7,6,1,4,8,5]=>[7,6,2,3,8,5,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>[[[[[]],[],[[]]]],[]]
[2,3,8,5,1,7,4,6]=>[7,6,1,4,8,2,5,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[[[[],[[],[]],[]]],[]]
[2,3,8,6,1,7,4,5]=>[7,6,1,3,8,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[[[[],[[]],[[]]]],[]]
[2,3,6,5,1,7,8,4]=>[7,6,3,4,8,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[]]],[],[]]],[]]
[2,8,4,5,1,3,6,7]=>[7,1,5,4,8,6,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>[[[],[[[[]]]],[]],[]]
[2,7,4,5,1,3,8,6]=>[7,2,5,4,8,6,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[]],[[[]]],[]],[]]
[2,8,4,6,1,3,5,7]=>[7,1,5,3,8,6,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[[]],[]],[]],[]]
[2,7,4,8,1,3,5,6]=>[7,2,5,1,8,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[]],[[[]]],[]],[]]
[2,7,4,6,1,3,8,5]=>[7,2,5,3,8,6,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[[[[]],[[],[]],[]],[]]
[2,8,6,5,1,3,4,7]=>[7,1,3,4,8,6,5,2]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[[[],[[]],[],[[]]],[]]
[2,7,8,5,1,3,4,6]=>[7,2,1,4,8,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[[[[]],[[]],[[]]],[]]
[2,7,8,6,1,3,4,5]=>[7,2,1,3,8,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>[[[[]],[],[[[]]]],[]]
[2,7,6,5,1,3,8,4]=>[7,2,3,4,8,6,1,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>[[[[]],[],[],[[]]],[]]
[2,6,4,5,1,8,3,7]=>[7,3,5,4,8,1,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[]],[]],[]]
[2,8,4,5,1,7,3,6]=>[7,1,5,4,8,2,6,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[[[],[[[],[]]],[]],[]]
[2,8,4,6,1,7,3,5]=>[7,1,5,3,8,2,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[[]],[]],[]],[]]
[2,8,6,5,1,7,3,4]=>[7,1,3,4,8,2,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[[[],[[]],[],[[]]],[]]
[2,6,4,5,1,7,8,3]=>[7,3,5,4,8,2,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[7,3,4,5,1,2,8,6]=>[2,6,5,4,8,7,1,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[[[]],[[[[]]]],[[]]]
[7,3,4,6,1,2,8,5]=>[2,6,5,3,8,7,1,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[[[]],[[[],[]]],[[]]]
[8,3,6,5,1,2,4,7]=>[1,6,3,4,8,7,5,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[],[[[]],[],[]],[[]]]
[7,3,8,5,1,2,4,6]=>[2,6,1,4,8,7,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]
[7,3,8,6,1,2,4,5]=>[2,6,1,3,8,7,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[[]],[[],[[]]],[[]]]
[7,3,6,5,1,2,8,4]=>[2,6,3,4,8,7,1,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[[[]],[[],[],[]],[[]]]
[7,6,4,5,1,2,8,3]=>[2,3,5,4,8,7,1,6]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[[[]],[],[[]],[[[]]]]
[6,3,4,5,1,8,2,7]=>[3,6,5,4,8,1,7,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]
[8,3,4,5,1,7,2,6]=>[1,6,5,4,8,2,7,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[[],[[[[],[]]]],[[]]]
[8,3,4,6,1,7,2,5]=>[1,6,5,3,8,2,7,4]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>[[],[[[[]],[]]],[[]]]
[8,3,6,5,1,7,2,4]=>[1,6,3,4,8,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[],[[[]],[],[]],[[]]]
[8,6,4,5,1,7,2,3]=>[1,3,5,4,8,2,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[[],[[]],[[]],[[[]]]]
[6,3,4,5,1,7,8,2]=>[3,6,5,4,8,2,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[2,3,4,8,6,1,5,7]=>[7,6,5,1,3,8,4,2]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[[[[[],[[]],[]]]],[]]
[2,3,4,8,7,1,5,6]=>[7,6,5,1,2,8,4,3]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>[[[[[],[],[[]]]]],[]]
[2,3,4,7,6,1,8,5]=>[7,6,5,2,3,8,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[[[[[]],[],[]]]],[]]
[2,3,8,5,6,1,4,7]=>[7,6,1,4,3,8,5,2]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[[[[],[[[]]],[]]],[]]
[2,3,8,5,7,1,4,6]=>[7,6,1,4,2,8,5,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[[[[],[[],[]],[]]],[]]
[2,3,8,7,6,1,4,5]=>[7,6,1,2,3,8,5,4]=>[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[[[[],[],[],[[]]]],[]]
[2,3,7,5,6,1,8,4]=>[7,6,2,4,3,8,1,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[[[[[]],[[]],[]]],[]]
[2,8,4,5,6,1,3,7]=>[7,1,5,4,3,8,6,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>[[[],[[[[]]]],[]],[]]
[2,8,4,5,7,1,3,6]=>[7,1,5,4,2,8,6,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[[[],[[[],[]]],[]],[]]
[2,8,4,7,6,1,3,5]=>[7,1,5,2,3,8,6,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[[[],[[],[],[]],[]],[]]
[2,8,7,5,6,1,3,4]=>[7,1,2,4,3,8,6,5]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[[[],[],[[]],[[]]],[]]
[2,7,4,5,6,1,8,3]=>[7,2,5,4,3,8,1,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[]],[[[]]],[]],[]]
[8,3,4,5,7,1,2,6]=>[1,6,5,4,2,8,7,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[[],[[[[],[]]]],[[]]]
[8,3,4,7,6,1,2,5]=>[1,6,5,2,3,8,7,4]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[[],[[[],[],[]]],[[]]]
[8,3,7,5,6,1,2,4]=>[1,6,2,4,3,8,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[],[[],[[]],[]],[[]]]
[7,3,4,5,6,1,8,2]=>[2,6,5,4,3,8,1,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[[[]],[[[[]]]],[[]]]
[2,3,4,5,8,7,1,6]=>[7,6,5,4,1,2,8,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[[[[[[],[],[]]]]],[]]
[2,3,4,8,6,7,1,5]=>[7,6,5,1,3,2,8,4]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[[[[[],[[]],[]]]],[]]
[2,3,8,5,6,7,1,4]=>[7,6,1,4,3,2,8,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[[[[],[[[]]],[]]],[]]
[2,8,4,5,6,7,1,3]=>[7,1,5,4,3,2,8,6]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>[[[],[[[[]]]],[]],[]]
[9,1,2,3,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[[],[[[[[[[[]]]]]]]]]
[8,1,2,3,4,5,6,9,7]=>[2,9,8,7,6,5,4,1,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[[[]],[[[[[[[]]]]]]]]
[9,1,2,3,4,5,8,6,7]=>[1,9,8,7,6,5,2,4,3]=>[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]]=>[[],[[[[[[],[[]]]]]]]]
[7,1,2,3,4,5,8,9,6]=>[3,9,8,7,6,5,2,1,4]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>[[[[]]],[[[[[[]]]]]]]
[6,1,2,3,4,7,8,9,5]=>[4,9,8,7,6,3,2,1,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]=>[[[[[]]]],[[[[[]]]]]]
[8,1,2,3,9,4,5,6,7]=>[2,9,8,7,1,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[[[]],[[[[[[[]]]]]]]]
[5,1,2,3,6,7,8,9,4]=>[5,9,8,7,4,3,2,1,6]=>[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>[[[[[[]]]]],[[[[]]]]]
[4,1,2,5,6,7,8,9,3]=>[6,9,8,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>[[[[[[[]]]]]],[[[]]]]
[9,1,8,2,3,4,5,6,7]=>[1,9,2,8,7,6,5,4,3]=>[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]]=>[[],[[],[[[[[[]]]]]]]]
[9,1,4,5,6,7,8,2,3]=>[1,9,6,5,4,3,2,8,7]=>[.,[[[[[[.,.],.],.],.],[[.,.],.]],.]]=>[[],[[[[[[]]]]],[[]]]]
[3,1,4,5,6,7,8,9,2]=>[7,9,6,5,4,3,2,1,8]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>[[[[[[[[]]]]]]],[[]]]
[2,9,1,3,4,5,6,7,8]=>[8,1,9,7,6,5,4,3,2]=>[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]=>[[[],[[[[[[]]]]]]],[]]
[9,3,1,2,4,5,6,7,8]=>[1,7,9,8,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]]=>[[],[[[[[[]]]]]],[[]]]
[9,7,1,2,3,4,5,6,8]=>[1,3,9,8,7,6,5,4,2]=>[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]=>[[],[[]],[[[[[[]]]]]]]
[8,9,1,2,3,4,5,6,7]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[[[]],[[[[[[[]]]]]]]]
[2,9,8,1,3,4,5,6,7]=>[8,1,2,9,7,6,5,4,3]=>[[.,[.,[[[[[.,.],.],.],.],.]]],[.,.]]=>[[[],[],[[[[[]]]]]],[]]
[9,7,8,1,2,3,4,5,6]=>[1,3,2,9,8,7,6,5,4]=>[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]=>[[],[[]],[[[[[[]]]]]]]
[9,8,5,1,7,2,3,4,6]=>[1,2,5,9,3,8,7,6,4]=>[.,[.,[[.,[.,.]],[[[[.,.],.],.],.]]]]=>[[],[],[[],[]],[[[[]]]]]
[9,3,4,5,6,7,1,2,8]=>[1,7,6,5,4,3,9,8,2]=>[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]]=>[[],[[[[[[]]]]]],[[]]]
[2,3,4,5,6,7,9,1,8]=>[8,7,6,5,4,3,1,9,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>[[[[[[[[],[]]]]]]],[]]
[9,3,4,5,6,7,8,1,2]=>[1,7,6,5,4,3,2,9,8]=>[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]]=>[[],[[[[[[]]]]]],[[]]]
[2,3,4,5,6,7,8,9,1]=>[8,7,6,5,4,3,2,1,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[[[[[[[[[]]]]]]]],[]]
[3,5,2,6,1,4,8,7]=>[6,4,7,3,8,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[3,5,2,6,4,1,8,7]=>[6,4,7,3,5,8,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[3,5,2,7,4,8,1,6]=>[6,4,7,2,5,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[3,5,2,7,4,8,6,1]=>[6,4,7,2,5,1,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[4,5,7,2,3,8,6,1]=>[5,4,2,7,6,1,3,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[4,5,7,2,3,8,1,6]=>[5,4,2,7,6,1,8,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[4,5,6,2,3,1,8,7]=>[5,4,3,7,6,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[[[],[]]]],[[]],[]]
[4,5,6,2,1,3,8,7]=>[5,4,3,7,8,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[[[],[]]]],[[]],[]]
[3,5,1,6,4,2,8,7]=>[6,4,8,3,5,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[[[],[]]],[]],[[]]]
[4,5,6,1,3,2,8,7]=>[5,4,3,8,6,7,1,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[[[[[],[]]]],[[],[]]]
[4,5,6,3,1,2,8,7]=>[5,4,3,6,8,7,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[[[[[],[]]]],[],[[]]]
[4,5,7,3,2,8,1,6]=>[5,4,2,6,7,1,8,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[4,5,7,3,2,8,6,1]=>[5,4,2,6,7,1,3,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[4,6,7,3,8,2,5,1]=>[5,3,2,6,1,7,4,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[4,6,7,3,8,2,1,5]=>[5,3,2,6,1,7,8,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[4,6,7,3,8,1,2,5]=>[5,3,2,6,1,8,7,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[]]],[]],[],[[]]]
[4,5,7,3,1,8,2,6]=>[5,4,2,6,8,1,7,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[[[[[]],[]]],[],[[]]]
[4,5,7,1,3,8,2,6]=>[5,4,2,8,6,1,7,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[[[[[]],[]]],[[],[]]]
[3,5,1,7,4,8,2,6]=>[6,4,8,2,5,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[[[[]],[]],[]],[[]]]
[2,1,5,7,4,8,3,6]=>[7,8,4,2,5,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[2,1,5,7,4,8,6,3]=>[7,8,4,2,5,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[3,5,1,7,4,8,6,2]=>[6,4,8,2,5,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[[[[]],[]],[]],[[]]]
[4,5,7,1,3,8,6,2]=>[5,4,2,8,6,1,3,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[[[[[]],[]]],[[],[]]]
[4,5,7,3,1,8,6,2]=>[5,4,2,6,8,1,3,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[[[[[]],[]]],[],[[]]]
[4,6,7,3,8,1,5,2]=>[5,3,2,6,1,8,4,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[]]],[]],[],[[]]]
[4,6,7,3,8,5,1,2]=>[5,3,2,6,1,4,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[]]],[]],[],[[]]]
[4,6,7,3,8,5,2,1]=>[5,3,2,6,1,4,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[5,6,7,8,3,1,4,2]=>[4,3,2,1,6,8,5,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[5,6,7,8,1,3,4,2]=>[4,3,2,1,8,6,5,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[[[[[]]]],[[[]],[]]]
[4,6,7,1,8,3,5,2]=>[5,3,2,8,1,6,4,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[[[[]]],[]],[[],[]]]
[3,6,1,7,8,4,5,2]=>[6,3,8,2,1,5,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[[[[]]],[[]]],[[]]]
[2,1,6,7,8,4,5,3]=>[7,8,3,2,1,5,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[2,1,6,7,8,4,3,5]=>[7,8,3,2,1,5,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[3,6,1,7,8,4,2,5]=>[6,3,8,2,1,5,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[[[[]]],[[]]],[[]]]
[4,6,7,1,8,3,2,5]=>[5,3,2,8,1,6,7,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[[[[]]],[]],[[],[]]]
[5,6,7,8,1,3,2,4]=>[4,3,2,1,8,6,7,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[[[[[]]]],[[[]],[]]]
[4,5,7,2,1,8,3,6]=>[5,4,2,7,8,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[4,6,7,2,8,1,3,5]=>[5,3,2,7,1,8,6,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,6,7,2,8,3,1,5]=>[5,3,2,7,1,6,8,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,6,7,2,8,3,5,1]=>[5,3,2,7,1,6,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[3,6,2,7,8,4,5,1]=>[6,3,7,2,1,5,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[3,6,2,7,8,4,1,5]=>[6,3,7,2,1,5,8,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[3,6,2,7,8,1,4,5]=>[6,3,7,2,1,8,5,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[3,5,2,7,1,8,4,6]=>[6,4,7,2,8,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[3,4,2,1,7,8,5,6]=>[6,5,7,8,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[[[[[]],[[]]]],[],[]]
[3,4,1,2,7,8,6,5]=>[6,5,8,7,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[[[[[]],[],[]]],[[]]]
[3,5,2,7,1,8,6,4]=>[6,4,7,2,8,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[3,6,2,7,8,1,5,4]=>[6,3,7,2,1,8,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,6,2,7,8,5,1,4]=>[6,3,7,2,1,4,8,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,6,2,7,8,5,4,1]=>[6,3,7,2,1,4,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[4,6,7,2,8,5,3,1]=>[5,3,2,7,1,4,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,6,7,2,8,5,1,3]=>[5,3,2,7,1,4,8,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,6,7,2,8,1,5,3]=>[5,3,2,7,1,8,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,5,7,2,1,8,6,3]=>[5,4,2,7,8,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[4,5,7,1,2,8,6,3]=>[5,4,2,8,7,1,3,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[3,5,1,7,2,8,6,4]=>[6,4,8,2,7,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[[[[]],[]],[]],[[]]]
[2,1,5,7,3,8,6,4]=>[7,8,4,2,6,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,1,6,7,8,3,5,4]=>[7,8,3,2,1,6,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[[[[[]]],[[],[]]],[]]
[3,6,1,7,8,2,5,4]=>[6,3,8,2,1,7,4,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[]]],[],[]],[[]]]
[4,6,7,1,8,2,5,3]=>[5,3,2,8,1,7,4,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[5,6,7,8,1,2,4,3]=>[4,3,2,1,8,7,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[[[[[]]]],[[[],[]]]]
[5,6,7,8,2,1,4,3]=>[4,3,2,1,7,8,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,6,7,8,2,4,1,3]=>[4,3,2,1,7,5,8,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,6,7,8,2,4,3,1]=>[4,3,2,1,7,5,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,6,7,8,1,4,2,3]=>[4,3,2,1,8,5,7,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[[[[[]]]],[[],[[]]]]
[4,6,7,1,8,5,2,3]=>[5,3,2,8,1,4,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[3,6,1,7,8,5,2,4]=>[6,3,8,2,1,4,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[]]],[],[]],[[]]]
[2,1,6,7,8,5,3,4]=>[7,8,3,2,1,4,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[[[[[]]],[],[[]]],[]]
[3,6,1,7,8,5,4,2]=>[6,3,8,2,1,4,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[]]],[],[]],[[]]]
[4,6,7,1,8,5,3,2]=>[5,3,2,8,1,4,6,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[[[[]]],[]],[[],[]]]
[5,6,7,8,1,4,3,2]=>[4,3,2,1,8,5,6,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[[[[[]]]],[[],[],[]]]
[5,6,7,8,4,1,3,2]=>[4,3,2,1,5,8,6,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[[[[[]]]],[],[[],[]]]
[6,7,8,9,10,5,4,3,2,1]=>[5,4,3,2,1,6,7,8,9,10]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[[[[[]]]]],[],[],[],[],[]]
[6,5,8,7,3,4,1,2]=>[3,4,1,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[],[[]],[[]]]
[3,6,7,4,5,8,1,2]=>[6,3,2,5,4,1,8,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[[[[]]],[[]]],[[]]]
[2,6,7,4,5,1,8,3]=>[7,3,2,5,4,8,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>[[[[[]]],[[]],[[]]]]
[1,5,4,7,6,2,3,8]=>[8,4,5,2,3,7,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>[[[[[]],[]],[],[[]]]]
[2,5,4,7,6,1,8,3]=>[7,4,5,2,3,8,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[3,5,4,7,6,8,1,2]=>[6,4,5,2,3,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[[[[]],[]],[]],[[]]]
[4,5,3,7,8,6,1,2]=>[5,4,6,2,1,3,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[[[[[]],[]]],[],[[]]]
[5,4,3,8,7,6,1,2]=>[4,5,6,1,2,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[[[],[],[]],[],[],[[]]]
[6,4,8,3,7,5,1,2]=>[3,5,1,6,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]
[6,3,8,4,5,7,1,2]=>[3,6,1,5,4,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]
[5,3,4,8,6,7,1,2]=>[4,6,5,1,3,2,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[[]]],[[]],[[]]]
[4,3,5,6,8,7,1,2]=>[5,6,4,3,1,2,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[[[[[],[]]]],[],[[]]]
[3,2,5,6,1,8,7,4]=>[6,7,4,3,8,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[4,2,5,6,8,1,7,3]=>[5,7,4,3,1,8,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[[[],[]]]],[[]],[]]
[5,2,4,8,6,1,7,3]=>[4,7,5,1,3,8,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[[[],[[]]],[[],[]],[]]
[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[]],[]],[]]
[7,8,2,4,5,1,6,3]=>[2,1,7,5,4,8,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[[[]],[[[[]]],[]],[]]
[7,8,1,4,5,2,3,6]=>[2,1,8,5,4,7,6,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[[[]],[[[[]]],[[]]]]
[6,1,8,4,5,2,3,7]=>[3,8,1,5,4,7,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[],[]],[[[]],[[]]]]
[5,1,4,8,6,2,3,7]=>[4,8,5,1,3,7,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[[[],[[]]],[[],[[]]]]
[4,1,3,2,8,6,5,7]=>[5,8,6,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[[[],[[]],[]],[[],[]]]
[5,1,3,8,2,6,4,7]=>[4,8,6,1,7,3,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[[[],[[]]],[[[]],[]]]
[6,1,8,3,2,5,4,7]=>[3,8,1,6,7,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[],[]],[[[],[]],[]]]
[7,8,1,3,2,5,4,6]=>[2,1,8,6,7,4,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[[[]],[[[[]],[]],[]]]
[7,8,2,3,1,5,6,4]=>[2,1,7,6,8,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[[[]],[[[[]],[]]],[]]
[6,2,8,3,1,5,7,4]=>[3,7,1,6,8,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[],[]]],[]]
[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[[[],[[]]],[[[]]],[]]
[6,3,8,2,1,7,5,4]=>[3,6,1,7,8,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[],[]],[],[]]
[7,8,3,2,1,6,5,4]=>[2,1,6,7,8,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[]],[[],[],[]],[],[]]
[7,8,4,2,6,1,5,3]=>[2,1,5,7,3,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[]],[[],[]],[[]],[]]
[5,4,2,8,7,1,6,3]=>[4,5,7,1,2,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[[[],[],[]],[],[[]],[]]
[4,5,2,7,8,1,6,3]=>[5,4,7,2,1,8,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[2,5,3,7,1,6,8,4]=>[7,4,6,2,8,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[[[[[]],[]],[[]],[]]]
[1,6,7,3,2,5,4,8]=>[8,3,2,6,7,4,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[[[[[]]],[[],[]],[]]]
[2,6,7,3,1,5,8,4]=>[7,3,2,6,8,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[[[[[]]],[[],[]]],[]]
[3,6,7,2,1,8,5,4]=>[6,3,2,7,8,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[7,8,5,6,2,1,4,3]=>[2,1,4,3,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[[[]],[[]],[[],[]],[]]
[6,5,8,7,1,2,3,4]=>[3,4,1,2,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[],[]],[],[[[[]]]]]
[5,4,1,8,7,2,3,6]=>[4,5,8,1,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[],[]],[],[[[]]]]
[6,4,8,1,7,2,3,5]=>[3,5,1,8,2,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[]],[[[]]]]
[7,8,3,1,2,6,4,5]=>[2,1,6,8,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[[]],[[],[[]]],[[]]]
[5,3,1,8,2,7,4,6]=>[4,6,8,1,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[],[]],[[]],[[]]]
[4,3,1,2,8,7,5,6]=>[5,6,8,7,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[[[],[],[[]]],[],[[]]]
[4,2,1,3,8,5,7,6]=>[5,7,8,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[[[],[[],[]]],[[]],[]]
[5,2,1,8,3,4,7,6]=>[4,7,8,1,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[],[]],[[[]]],[]]
[6,2,8,1,3,4,7,5]=>[3,7,1,8,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[]]]],[]]
[7,8,2,1,3,4,6,5]=>[2,1,7,8,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[[[]],[[[[],[]]]],[]]
[4,3,1,2,6,5,8,7]=>[5,6,8,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[[[[],[]],[]],[],[[]]]
[5,3,1,6,2,4,8,7]=>[4,6,8,3,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]
[6,3,1,5,2,4,8,7]=>[3,6,8,4,7,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[],[]],[[]]]
[7,3,1,5,2,8,4,6]=>[2,6,8,4,7,1,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]
[8,4,5,1,2,7,3,6]=>[1,5,4,8,7,2,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[[],[[[],[]]],[[[]]]]
[7,4,5,1,2,8,3,6]=>[2,5,4,8,7,1,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[[[]],[[[]]],[[[]]]]
[6,4,5,1,2,3,8,7]=>[3,5,4,8,7,6,1,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[]],[[[]]]]
[5,4,6,1,2,3,8,7]=>[4,5,3,8,7,6,1,2]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[[[[],[]]],[],[[[]]]]
[2,1,6,5,3,4,8,7]=>[7,8,3,4,6,5,1,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[],[[]]],[]]
[3,6,1,5,2,4,8,7]=>[6,3,8,4,7,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]
[4,6,5,1,2,3,8,7]=>[5,3,4,8,7,6,1,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[5,6,4,1,2,3,8,7]=>[4,3,5,8,7,6,1,2]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[[[[],[]]],[],[[[]]]]
[6,5,4,1,2,3,8,7]=>[3,4,5,8,7,6,1,2]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[[[],[]],[],[],[[[]]]]
[7,5,4,1,2,8,3,6]=>[2,4,5,8,7,1,6,3]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[[[]],[[]],[],[[[]]]]
[8,6,4,1,7,2,3,5]=>[1,3,5,8,2,7,6,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[[],[[]],[[]],[[[]]]]
[7,6,4,1,8,2,3,5]=>[2,3,5,8,1,7,6,4]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[[[]],[],[[]],[[[]]]]
[6,7,4,1,8,2,3,5]=>[3,2,5,8,1,7,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]
[5,7,4,1,2,8,3,6]=>[4,2,5,8,7,1,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[[[]],[]],[],[[[]]]]
[4,7,5,1,2,8,3,6]=>[5,2,4,8,7,1,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[3,7,1,5,2,8,4,6]=>[6,2,8,4,7,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[[[]],[[]],[]],[[]]]
[2,1,7,5,3,8,4,6]=>[7,8,2,4,6,1,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[[[[]],[[]],[[]]],[]]
[2,1,8,5,3,7,4,6]=>[7,8,1,4,6,2,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[],[]],[[]]],[]]
[3,8,1,5,2,7,4,6]=>[6,1,8,4,7,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[[[],[[],[]],[]],[[]]]
[4,8,5,1,2,7,3,6]=>[5,1,4,8,7,2,6,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[[[],[[],[]]],[[[]]]]
[5,8,4,1,2,7,3,6]=>[4,1,5,8,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[],[]],[],[[[]]]]
[6,8,4,1,7,2,3,5]=>[3,1,5,8,2,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[]],[[[]]]]
[8,7,4,1,6,2,3,5]=>[1,2,5,8,3,7,6,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[[],[],[[],[]],[[[]]]]
[5,8,6,7,1,2,3,4]=>[4,1,3,2,8,7,6,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[[[],[[]]],[[[[]]]]]
[4,8,6,1,7,2,3,5]=>[5,1,3,8,2,7,6,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[[[],[[]],[]],[[[]]]]
[3,8,1,6,7,2,4,5]=>[6,1,8,3,2,7,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[[],[[]],[[]]],[[]]]
[2,1,8,6,7,3,4,5]=>[7,8,1,3,2,6,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>[[[],[[]],[[[]]]],[]]
[2,1,7,6,8,3,4,5]=>[7,8,2,3,1,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>[[[[]],[],[[[]]]],[]]
[3,7,1,6,8,2,4,5]=>[6,2,8,3,1,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[[[[]],[],[[]]],[[]]]
[4,7,6,1,8,2,3,5]=>[5,2,3,8,1,7,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[]],[],[]],[[[]]]]
[5,7,6,8,1,2,3,4]=>[4,2,3,1,8,7,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[[[[]],[]],[[[[]]]]]
[5,4,7,1,2,8,3,6]=>[4,5,2,8,7,1,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[[[]],[]],[],[[[]]]]
[6,4,7,1,8,2,3,5]=>[3,5,2,8,1,7,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]
[7,4,6,1,8,2,3,5]=>[2,5,3,8,1,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[]],[[],[]],[[[]]]]
[8,4,6,1,7,2,3,5]=>[1,5,3,8,2,7,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[],[[[]],[]],[[[]]]]
[8,3,1,6,7,2,4,5]=>[1,6,8,3,2,7,5,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[[],[[[]],[[]]],[[]]]
[7,3,1,6,8,2,4,5]=>[2,6,8,3,1,7,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[[]],[[],[[]]],[[]]]
[6,3,1,7,8,2,4,5]=>[3,6,8,2,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[5,3,1,7,2,8,4,6]=>[4,6,8,2,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[4,3,1,2,7,8,5,6]=>[5,6,8,7,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[[[[]],[[]]],[],[[]]]
[2,1,4,3,8,7,5,6]=>[7,8,5,6,1,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[[[[],[],[[]]],[]],[]]
[3,4,1,2,8,7,5,6]=>[6,5,8,7,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[[[[],[],[[]]]],[[]]]
[6,3,1,8,7,2,4,5]=>[3,6,8,1,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]
[7,3,1,8,6,2,4,5]=>[2,6,8,1,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[[]],[[],[[]]],[[]]]
[8,4,7,1,6,2,3,5]=>[1,5,2,8,3,7,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[],[[],[],[]],[[[]]]]
[7,4,8,1,6,2,3,5]=>[2,5,1,8,3,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[]],[[],[]],[[[]]]]
[5,4,8,1,2,7,3,6]=>[4,5,1,8,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[],[]],[],[[[]]]]
[4,5,8,1,2,7,3,6]=>[5,4,1,8,7,2,6,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[[[[],[],[]]],[[[]]]]
[3,5,1,8,2,7,4,6]=>[6,4,8,1,7,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[],[]],[]],[[]]]
[2,1,5,8,3,7,4,6]=>[7,8,4,1,6,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[],[]],[[]]],[]]
[2,1,6,8,7,3,4,5]=>[7,8,3,1,2,6,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[]]]],[]]
[3,6,1,8,7,2,4,5]=>[6,3,8,1,2,7,5,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[[],[]],[[]]],[[]]]
[4,6,8,1,7,2,3,5]=>[5,3,1,8,2,7,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[5,6,8,7,1,2,3,4]=>[4,3,1,2,8,7,6,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[[],[]]],[[[[]]]]]
[7,5,8,6,1,2,3,4]=>[2,4,1,3,8,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[[[]],[[]],[[[[]]]]]
[8,5,7,6,1,2,3,4]=>[1,4,2,3,8,7,6,5]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[[],[[],[]],[[[[]]]]]
[5,7,8,6,1,2,3,4]=>[4,2,1,3,8,7,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[[[[]],[]],[[[[]]]]]
[4,7,8,1,6,2,3,5]=>[5,2,1,8,3,7,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[]],[],[]],[[[]]]]
[3,7,1,8,6,2,4,5]=>[6,2,8,1,3,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[[[[]],[],[[]]],[[]]]
[2,1,7,8,6,3,4,5]=>[7,8,2,1,3,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>[[[[]],[],[[[]]]],[]]
[2,1,8,7,6,3,4,5]=>[7,8,1,2,3,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[[[],[],[],[[[]]]],[]]
[3,8,1,7,6,2,4,5]=>[6,1,8,2,3,7,5,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>[[[],[],[],[[]]],[[]]]
[4,8,7,1,6,2,3,5]=>[5,1,2,8,3,7,6,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[[[],[],[],[]],[[[]]]]
[5,8,7,6,1,2,3,4]=>[4,1,2,3,8,7,6,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[],[],[]],[[[[]]]]]
[6,8,7,5,1,2,3,4]=>[3,1,2,4,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[],[]],[],[[[[]]]]]
[6,4,7,3,8,5,1,2]=>[3,5,2,6,1,4,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[6,4,7,3,5,8,1,2]=>[3,5,2,6,4,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[6,4,7,2,5,1,8,3]=>[3,5,2,7,4,8,1,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[5,4,2,7,6,1,3,8]=>[4,5,7,2,3,8,6,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]
[5,4,2,7,6,1,8,3]=>[4,5,7,2,3,8,1,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]
[5,4,3,7,6,8,1,2]=>[4,5,6,2,3,1,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[]],[]],[],[],[[]]]
[5,4,3,7,8,6,1,2]=>[4,5,6,2,1,3,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[]],[]],[],[],[[]]]
[6,4,8,3,5,7,1,2]=>[3,5,1,6,4,2,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]
[5,4,3,8,6,7,1,2]=>[4,5,6,1,3,2,8,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[[[],[[]]],[],[],[[]]]
[5,4,3,6,8,7,1,2]=>[4,5,6,3,1,2,8,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[[[[],[]]],[],[],[[]]]
[5,4,2,6,7,1,8,3]=>[4,5,7,3,2,8,1,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[5,4,2,6,7,1,3,8]=>[4,5,7,3,2,8,6,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[5,3,2,6,1,7,4,8]=>[4,6,7,3,8,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[5,3,2,6,1,7,8,4]=>[4,6,7,3,8,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[5,3,2,6,1,8,7,4]=>[4,6,7,3,8,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]
[5,4,2,6,8,1,7,3]=>[4,5,7,3,1,8,2,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[[[[],[]]],[],[[]],[]]
[5,4,2,8,6,1,7,3]=>[4,5,7,1,3,8,2,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[[[],[[]]],[],[[]],[]]
[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[]],[[]],[]]
[7,8,4,2,5,1,6,3]=>[2,1,5,7,4,8,3,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[7,8,4,2,5,1,3,6]=>[2,1,5,7,4,8,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[5,4,2,8,6,1,3,7]=>[4,5,7,1,3,8,6,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[[[],[[]]],[],[[]],[]]
[5,3,2,6,1,8,4,7]=>[4,6,7,3,8,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]
[4,3,2,1,6,8,5,7]=>[5,6,7,8,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]
[4,3,2,1,8,6,5,7]=>[5,6,7,8,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[[[],[[]],[]],[],[],[]]
[5,3,2,8,1,6,4,7]=>[4,6,7,1,8,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[],[[]]],[[]],[],[]]
[6,3,8,2,1,5,4,7]=>[3,6,1,7,8,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[],[]],[],[]]
[7,8,3,2,1,5,4,6]=>[2,1,6,7,8,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[]],[],[]]
[7,8,3,2,1,5,6,4]=>[2,1,6,7,8,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[]],[],[]]
[6,3,8,2,1,5,7,4]=>[3,6,1,7,8,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[],[]],[],[]]
[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[],[[]]],[[]],[],[]]
[5,4,2,7,8,1,6,3]=>[4,5,7,2,1,8,3,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]
[5,3,2,7,1,8,6,4]=>[4,6,7,2,8,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[5,3,2,7,1,6,8,4]=>[4,6,7,2,8,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[6,3,7,2,1,5,4,8]=>[3,6,2,7,8,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]
[6,3,7,2,1,5,8,4]=>[3,6,2,7,8,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]
[6,3,7,2,1,8,5,4]=>[3,6,2,7,8,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]
[6,4,7,2,8,1,5,3]=>[3,5,2,7,1,8,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[6,5,7,8,2,1,4,3]=>[3,4,2,1,7,8,5,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[[[[]]],[],[[],[]],[]]
[6,5,8,7,2,1,3,4]=>[3,4,1,2,7,8,6,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[],[[[]]],[]]
[6,3,7,2,1,8,4,5]=>[3,6,2,7,8,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]
[6,3,7,2,1,4,8,5]=>[3,6,2,7,8,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]
[6,3,7,2,1,4,5,8]=>[3,6,2,7,8,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]
[5,3,2,7,1,4,8,6]=>[4,6,7,2,8,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[5,4,2,8,7,1,3,6]=>[4,5,7,1,2,8,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[[[],[],[]],[],[[]],[]]
[7,8,4,2,6,1,3,5]=>[2,1,5,7,3,8,6,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[]],[[],[]],[[]],[]]
[7,8,3,2,1,6,4,5]=>[2,1,6,7,8,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[[[]],[[],[[]]],[],[]]
[6,3,8,2,1,7,4,5]=>[3,6,1,7,8,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[]]],[],[]]
[5,3,2,8,1,7,4,6]=>[4,6,7,1,8,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[],[]],[[]],[],[]]
[4,3,2,1,8,7,5,6]=>[5,6,7,8,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[[[],[],[[]]],[],[],[]]
[4,3,2,1,7,5,8,6]=>[5,6,7,8,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]
[4,3,2,1,7,5,6,8]=>[5,6,7,8,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]
[4,3,2,1,8,5,7,6]=>[5,6,7,8,1,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[[[],[[],[]]],[],[],[]]
[5,3,2,8,1,4,7,6]=>[4,6,7,1,8,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[],[]],[[]],[],[]]
[6,3,8,2,1,4,7,5]=>[3,6,1,7,8,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[]]],[],[]]
[7,8,3,2,1,4,6,5]=>[2,1,6,7,8,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[[[]],[[[],[]]],[],[]]
[6,3,8,2,1,4,5,7]=>[3,6,1,7,8,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[]]],[],[]]
[4,3,2,1,8,5,6,7]=>[5,6,7,8,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[[[],[[[]]]],[],[],[]]
[4,3,2,1,5,8,6,7]=>[5,6,7,8,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[[[[],[[]]]],[],[],[]]
[7,8,5,6,1,2,4,3]=>[2,1,4,3,8,7,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[[[]],[[]],[[[],[]]]]
[7,8,4,1,6,2,5,3]=>[2,1,5,8,3,7,4,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[]],[[],[]],[[[]]]]
[7,8,1,4,6,2,5,3]=>[2,1,8,5,3,7,4,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>[[[]],[[[],[]],[[]]]]
[6,1,8,4,7,2,5,3]=>[3,8,1,5,2,7,4,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[],[]],[[[]],[[]]]]
[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>[[[[],[]],[[]],[[]]]]
[1,6,8,3,2,7,5,4]=>[8,3,1,6,7,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[[[[],[]],[[],[]],[]]]
[6,1,8,3,2,7,5,4]=>[3,8,1,6,7,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[],[]],[[[],[]],[]]]
[7,8,1,3,2,6,5,4]=>[2,1,8,6,7,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[[[]],[[[],[],[]],[]]]
[7,8,3,1,2,6,5,4]=>[2,1,6,8,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[[[]],[[],[],[]],[[]]]
[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[[[]],[[[],[]]],[[]]]
[7,8,2,4,6,1,5,3]=>[2,1,7,5,3,8,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[[[]],[[[],[]],[]],[]]
[7,8,2,3,1,6,5,4]=>[2,1,7,6,8,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[[[]],[[[],[],[]]],[]]
[7,8,2,1,3,6,5,4]=>[2,1,7,8,6,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[[[]],[[[],[],[]]],[]]
[7,8,1,2,3,6,5,4]=>[2,1,8,7,6,3,4,5]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[[[]],[[[[],[],[]]]]]
[6,1,8,2,3,7,5,4]=>[3,8,1,7,6,2,4,5]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[[[],[]],[[[[],[]]]]]
[1,6,8,2,3,7,5,4]=>[8,3,1,7,6,2,4,5]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>[[[[],[]],[[[],[]]]]]
[1,5,2,8,3,7,6,4]=>[8,4,7,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>[[[[],[],[]],[[[]]]]]
[5,1,2,8,3,7,6,4]=>[4,8,7,1,6,2,3,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[],[],[]],[[[[]]]]]
[5,2,1,8,3,7,6,4]=>[4,7,8,1,6,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[],[]],[[[]]],[]]
[6,2,8,1,3,7,5,4]=>[3,7,1,8,6,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[],[]]],[]]
[6,2,8,3,1,7,5,4]=>[3,7,1,6,8,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[],[]]],[]]
[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[]],[]],[]]
[6,3,8,4,7,5,1,2]=>[3,6,1,5,2,4,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]
[3,6,8,4,7,5,1,2]=>[6,3,1,5,2,4,8,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[[],[]],[[]]],[[]]]
[2,6,8,4,7,1,5,3]=>[7,3,1,5,2,8,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[]],[]],[]]
[2,6,8,3,1,7,5,4]=>[7,3,1,6,8,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[],[]]],[]]
[2,6,8,1,3,7,5,4]=>[7,3,1,8,6,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[],[]]],[]]
[2,5,1,8,3,7,6,4]=>[7,4,8,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[],[]],[[]]],[]]
[1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[[[[[],[],[]],[[]]]]]
[2,4,1,3,8,7,6,5]=>[7,5,8,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[],[],[],[]],[]],[]]
[2,5,3,8,1,7,6,4]=>[7,4,6,1,8,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[],[]],[[]]],[]]
[2,5,4,8,7,1,6,3]=>[7,4,5,1,2,8,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[[[[],[],[]],[],[]],[]]
[3,5,4,8,7,6,1,2]=>[6,4,5,1,2,3,8,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[],[]],[]],[[]]]
[5,3,4,8,7,6,1,2]=>[4,6,5,1,2,3,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[],[]],[[]],[[]]]
[5,2,4,8,7,1,6,3]=>[4,7,5,1,2,8,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[],[]],[[],[]],[]]
[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[],[]],[[[]]],[]]
[4,2,1,3,8,7,6,5]=>[5,7,8,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[],[],[],[]],[[]],[]]
[4,1,2,3,8,7,6,5]=>[5,8,7,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[[[],[],[],[]],[[[]]]]
[1,4,2,3,8,7,6,5]=>[8,5,7,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[[[[],[],[],[]],[[]]]]
[4,1,3,2,8,7,6,5]=>[5,8,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[[[],[],[],[]],[[],[]]]
[4,3,1,2,8,7,6,5]=>[5,6,8,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[[[],[],[],[]],[],[[]]]
[6,3,8,1,2,7,5,4]=>[3,6,1,8,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[],[]],[[]]]
[5,3,1,8,2,7,6,4]=>[4,6,8,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[],[]],[[]],[[]]]
[5,1,3,8,2,7,6,4]=>[4,8,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[[[],[],[]],[[[]],[]]]
[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[[[[],[],[]],[[]],[]]]
[1,5,4,8,7,2,6,3]=>[8,4,5,1,2,7,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>[[[[],[],[]],[],[[]]]]
[5,1,4,8,7,2,6,3]=>[4,8,5,1,2,7,3,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[[[],[],[]],[[],[[]]]]
[5,4,1,8,7,2,6,3]=>[4,5,8,1,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[],[]],[],[[[]]]]
[6,4,8,1,7,2,5,3]=>[3,5,1,8,2,7,4,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[]],[[[]]]]
[6,5,8,7,1,2,4,3]=>[3,4,1,2,8,7,5,6]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[[[],[]],[],[[[],[]]]]
[5,6,8,7,3,4,1,2]=>[4,3,1,2,6,5,8,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]
[5,6,8,7,2,1,4,3]=>[4,3,1,2,7,8,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[[],[]]],[[],[]],[]]
[4,5,1,8,7,2,6,3]=>[5,4,8,1,2,7,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[[[[],[],[]]],[[[]]]]
[4,1,5,8,7,2,6,3]=>[5,8,4,1,2,7,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[[[[],[],[]]],[[[]]]]
[1,4,5,8,7,2,6,3]=>[8,5,4,1,2,7,3,6]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>[[[[[],[],[]]],[[]]]]
[1,3,5,8,2,7,6,4]=>[8,6,4,1,7,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[[[[[],[],[]],[]],[]]]
[3,1,5,8,2,7,6,4]=>[6,8,4,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[],[]],[]],[[]]]
[3,6,8,1,2,7,5,4]=>[6,3,1,8,7,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]
[3,6,8,2,1,7,5,4]=>[6,3,1,7,8,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]
[4,6,8,2,7,1,5,3]=>[5,3,1,7,2,8,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]
[4,6,8,3,7,5,1,2]=>[5,3,1,6,2,4,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[[[[],[]],[]],[],[[]]]
[4,5,3,8,7,6,1,2]=>[5,4,6,1,2,3,8,7]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[[[[],[],[]]],[],[[]]]
[4,5,2,8,7,1,6,3]=>[5,4,7,1,2,8,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[],[],[]]],[[]],[]]
[3,5,2,8,1,7,6,4]=>[6,4,7,1,8,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]
[3,1,4,2,8,7,6,5]=>[6,8,5,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[[[[],[],[],[]]],[[]]]
[3,1,2,4,8,7,6,5]=>[6,8,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[[[[],[],[],[]]],[[]]]
[3,2,5,8,1,7,6,4]=>[6,7,4,1,8,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]
[4,2,5,8,7,1,6,3]=>[5,7,4,1,2,8,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[],[],[]]],[[]],[]]
[4,3,5,8,7,6,1,2]=>[5,6,4,1,2,3,8,7]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[[[[],[],[]]],[],[[]]]
[3,4,5,8,7,6,1,2]=>[6,5,4,1,2,3,8,7]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[[[[[],[],[]]]],[[]]]
[2,4,5,8,7,1,6,3]=>[7,5,4,1,2,8,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[[[[[],[],[]]],[]],[]]
[2,3,5,8,1,7,6,4]=>[7,6,4,1,8,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[[[[[],[],[]],[]]],[]]
[4,1,3,2,6,5,8,7]=>[5,8,6,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[]],[[],[]]]
[5,1,3,2,6,4,8,7]=>[4,8,6,7,3,5,1,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[[[[],[]]],[[[]],[]]]
[6,1,3,2,5,4,8,7]=>[3,8,6,7,4,5,1,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[],[]],[[[],[]],[]]]
[7,1,3,2,5,4,8,6]=>[2,8,6,7,4,5,1,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[[[]],[[[[]],[]],[]]]
[8,1,3,2,5,4,7,6]=>[1,8,6,7,4,5,2,3]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[[],[[[[],[]],[]],[]]]
[8,1,4,2,5,3,7,6]=>[1,8,5,7,4,6,2,3]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[[],[[[[],[]]],[[]]]]
[7,1,4,2,5,3,8,6]=>[2,8,5,7,4,6,1,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[[[]],[[[[]]],[[]]]]
[6,1,4,2,5,3,8,7]=>[3,8,5,7,4,6,1,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[],[]],[[[]],[[]]]]
[5,1,4,2,6,3,8,7]=>[4,8,5,7,3,6,1,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[[[[],[]]],[[],[[]]]]
[2,1,6,3,5,4,8,7]=>[7,8,3,6,4,5,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[],[]]],[]]
[3,1,6,2,5,4,8,7]=>[6,8,3,7,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]
[4,1,6,2,5,3,8,7]=>[5,8,3,7,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[6,2,5,1,4,3,8,7]=>[3,7,4,8,5,6,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[],[],[]],[]]
[5,2,6,1,4,3,8,7]=>[4,7,3,8,5,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[[],[]]],[[],[]],[]]
[5,2,7,1,4,3,8,6]=>[4,7,2,8,5,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[]],[]],[[],[]],[]]
[5,2,8,1,4,3,7,6]=>[4,7,1,8,5,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[],[]],[[],[]],[]]
[6,2,8,1,4,3,7,5]=>[3,7,1,8,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[]],[]],[]]
[6,2,7,1,4,3,8,5]=>[3,7,2,8,5,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]
[7,2,6,1,4,3,8,5]=>[2,7,3,8,5,6,1,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[[[]],[[],[[]],[]],[]]
[7,2,5,1,4,3,8,6]=>[2,7,4,8,5,6,1,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>[[[]],[[[]],[],[]],[]]
[4,1,7,2,5,3,8,6]=>[5,8,2,7,4,6,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[3,1,7,2,5,4,8,6]=>[6,8,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[[[]],[[]],[]],[[]]]
[2,1,7,3,5,4,8,6]=>[7,8,2,6,4,5,1,3]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>[[[[]],[[[]],[]]],[]]
[2,1,8,3,5,4,7,6]=>[7,8,1,6,4,5,2,3]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[[[],[[[],[]],[]]],[]]
[3,1,8,2,5,4,7,6]=>[6,8,1,7,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[[[],[[],[]],[]],[[]]]
[4,1,8,2,5,3,7,6]=>[5,8,1,7,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[[[],[[],[]]],[[[]]]]
[8,2,5,1,4,3,7,6]=>[1,7,4,8,5,6,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[[],[[[],[]],[],[]],[]]
[8,2,6,1,4,3,7,5]=>[1,7,3,8,5,6,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[],[[[]],[[]],[]],[]]
[7,1,4,3,8,2,6,5]=>[2,8,5,6,1,7,3,4]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>[[[]],[[[],[]],[],[]]]
[8,1,4,3,7,2,6,5]=>[1,8,5,6,2,7,3,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[[],[[[],[],[]],[],[]]]
[8,1,5,3,7,2,6,4]=>[1,8,4,6,2,7,3,5]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>[[],[[[],[]],[[]],[]]]
[7,1,5,3,8,2,6,4]=>[2,8,4,6,1,7,3,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[[[]],[[[]],[[]],[]]]
[8,2,6,1,5,3,7,4]=>[1,7,3,8,4,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[[],[[[]],[],[[]]],[]]
[5,1,8,2,6,3,7,4]=>[4,8,1,7,3,6,2,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[[[],[[]]],[[[[]]]]]
[4,1,8,2,6,3,7,5]=>[5,8,1,7,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[[[],[[]],[]],[[[]]]]
[3,1,8,2,6,4,7,5]=>[6,8,1,7,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[[],[[]],[[]]],[[]]]
[2,1,8,3,6,4,7,5]=>[7,8,1,6,3,5,2,4]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>[[[],[[[]],[[]]]],[]]
[2,1,7,3,6,4,8,5]=>[7,8,2,6,3,5,1,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[[[[]],[[],[[]]]],[]]
[4,1,7,2,6,3,8,5]=>[5,8,2,7,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[]],[],[]],[[[]]]]
[5,1,7,2,6,3,8,4]=>[4,8,2,7,3,6,1,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[[[[]],[]],[[[[]]]]]
[7,2,6,1,5,3,8,4]=>[2,7,3,8,4,6,1,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>[[[]],[[],[],[[]]],[]]
[6,2,7,1,5,3,8,4]=>[3,7,2,8,4,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[[[[]]],[[],[[]]],[]]
[6,2,8,1,5,3,7,4]=>[3,7,1,8,4,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[],[[]]],[]]
[8,1,5,2,6,3,7,4]=>[1,8,4,7,3,6,2,5]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[[],[[[[]]],[[[]]]]]
[6,1,5,2,7,3,8,4]=>[3,8,4,7,2,6,1,5]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[[[[]]],[[],[[[]]]]]
[6,1,4,2,7,3,8,5]=>[3,8,5,7,2,6,1,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[[[[]]],[[[]],[[]]]]
[8,1,4,2,6,3,7,5]=>[1,8,5,7,3,6,2,4]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[[],[[[[]],[]],[[]]]]
[8,1,3,2,6,4,7,5]=>[1,8,6,7,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>[[],[[[[]],[[]]],[]]]
[7,1,3,2,6,4,8,5]=>[2,8,6,7,3,5,1,4]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>[[[]],[[[],[[]]],[]]]
[6,1,3,2,7,4,8,5]=>[3,8,6,7,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>[[[[]]],[[[[]]],[]]]
[5,1,3,2,7,4,8,6]=>[4,8,6,7,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[[[[]],[]],[[[]],[]]]
[4,1,3,2,7,5,8,6]=>[5,8,6,7,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[[[[]],[[]]],[[],[]]]
[2,1,4,3,8,5,7,6]=>[7,8,5,6,1,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[[[[],[[],[]]],[]],[]]
[3,1,4,2,8,5,7,6]=>[6,8,5,7,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[[[[],[[],[]]]],[[]]]
[4,1,3,2,8,5,7,6]=>[5,8,6,7,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[[[],[[],[]]],[[],[]]]
[5,1,3,2,8,4,7,6]=>[4,8,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[[[],[],[]],[[[]],[]]]
[6,1,3,2,8,4,7,5]=>[3,8,6,7,1,5,2,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>[[[],[]],[[[[]]],[]]]
[8,4,7,1,3,2,6,5]=>[1,5,2,8,6,7,3,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[],[[],[],[]],[[],[]]]
[7,4,8,1,3,2,6,5]=>[2,5,1,8,6,7,3,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[[[]],[[],[]],[[],[]]]
[7,3,8,1,4,2,6,5]=>[2,6,1,8,5,7,3,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[[[]],[[[],[]]],[[]]]
[8,3,7,1,4,2,6,5]=>[1,6,2,8,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[],[[],[[],[]]],[[]]]
[6,1,4,2,8,3,7,5]=>[3,8,5,7,1,6,2,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[],[]],[[[]],[[]]]]
[5,1,4,2,8,3,7,6]=>[4,8,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[[[],[],[]],[[],[[]]]]
[4,1,5,2,8,3,7,6]=>[5,8,4,7,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[[[[],[],[]]],[[[]]]]
[3,1,5,2,8,4,7,6]=>[6,8,4,7,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[],[]],[]],[[]]]
[2,1,5,3,8,4,7,6]=>[7,8,4,6,1,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[],[]],[[]]],[]]
[2,1,6,3,8,4,7,5]=>[7,8,3,6,1,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[]]]],[]]
[3,1,6,2,8,4,7,5]=>[6,8,3,7,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[[],[]],[[]]],[[]]]
[4,1,6,2,8,3,7,5]=>[5,8,3,7,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[5,1,6,2,8,3,7,4]=>[4,8,3,7,1,6,2,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[[],[]]],[[[[]]]]]
[6,1,5,2,8,3,7,4]=>[3,8,4,7,1,6,2,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[[[],[]],[[],[[[]]]]]
[8,3,7,1,5,2,6,4]=>[1,6,2,8,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[],[[],[[]],[]],[[]]]
[7,3,8,1,5,2,6,4]=>[2,6,1,8,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]
[6,2,7,3,8,1,5,4]=>[3,7,2,6,1,8,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[[[[]]],[[[],[]]],[]]
[6,2,8,3,7,1,5,4]=>[3,7,1,6,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[],[]]],[]]
[8,3,7,2,6,1,5,4]=>[1,6,2,7,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[[],[[],[],[],[]],[],[]]
[5,1,8,3,7,2,6,4]=>[4,8,1,6,2,7,3,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[[[],[],[]],[[[]],[]]]
[4,1,8,3,7,2,6,5]=>[5,8,1,6,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[[[],[],[],[]],[[],[]]]
[3,1,8,4,7,2,6,5]=>[6,8,1,5,2,7,3,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[[[],[[],[],[]]],[[]]]
[2,1,8,4,7,3,6,5]=>[7,8,1,5,2,6,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[[[],[[],[],[]],[]],[]]
[2,1,7,4,8,3,6,5]=>[7,8,2,5,1,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[[[[]],[[],[]],[]],[]]
[3,1,7,4,8,2,6,5]=>[6,8,2,5,1,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[[[[]],[[],[]]],[[]]]
[4,1,7,3,8,2,6,5]=>[5,8,2,6,1,7,3,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[[[[]],[],[]],[[],[]]]
[5,1,7,3,8,2,6,4]=>[4,8,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[[[[]],[]],[[[]],[]]]
[7,3,8,2,6,1,5,4]=>[2,6,1,7,3,8,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[]],[[],[],[]],[],[]]
[8,2,6,3,7,1,5,4]=>[1,7,3,6,2,8,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>[[],[[[]],[[],[]]],[]]
[7,2,6,3,8,1,5,4]=>[2,7,3,6,1,8,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>[[[]],[[],[[],[]]],[]]
[3,4,2,6,8,1,5,7]=>[6,5,7,3,1,8,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[[[[[],[]],[]]],[],[]]
[5,3,6,2,8,1,4,7]=>[4,6,3,7,1,8,5,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]
[5,3,6,2,4,8,1,7]=>[4,6,3,7,5,1,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]
[5,7,3,8,2,4,1,6]=>[4,2,6,1,7,5,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[5,7,3,8,2,4,6,1]=>[4,2,6,1,7,5,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[7,4,2,5,8,3,6,1]=>[2,5,7,4,1,6,3,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[7,4,2,5,8,3,1,6]=>[2,5,7,4,1,6,8,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[4,5,2,6,3,8,1,7]=>[5,4,7,3,6,1,8,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[[[],[]]]],[[]],[]]
[4,5,2,1,6,8,3,7]=>[5,4,7,8,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[[[],[]]]],[[]],[]]
[5,3,1,6,8,2,4,7]=>[4,6,8,3,1,7,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]
[5,6,2,8,1,3,4,7]=>[4,3,7,1,8,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[]]],[[[]]],[]]
[3,5,6,1,4,8,2,7]=>[6,4,3,8,5,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[[[],[]]],[]],[[]]]
[4,1,5,6,3,8,2,7]=>[5,8,4,3,6,1,7,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[[[[[],[]]]],[[],[]]]
[4,5,1,6,3,8,2,7]=>[5,4,8,3,6,1,7,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[[[[[],[]]]],[[],[]]]
[4,5,6,3,2,8,1,7]=>[5,4,3,6,7,1,8,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[[[],[]]]],[],[],[]]
[7,4,5,3,8,2,1,6]=>[2,5,4,6,1,7,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[7,4,5,3,8,2,6,1]=>[2,5,4,6,1,7,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[6,7,4,8,3,2,5,1]=>[3,2,5,1,6,7,4,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[6,7,4,8,3,2,1,5]=>[3,2,5,1,6,7,8,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[6,7,4,1,8,3,2,5]=>[3,2,5,8,1,6,7,4]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>[[[[]]],[[]],[[],[]]]
[7,4,5,3,1,8,2,6]=>[2,5,4,6,8,1,7,3]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[[[]],[[[]]],[],[[]]]
[4,7,1,5,8,3,2,6]=>[5,2,8,4,1,6,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[[[[]],[[]]],[[],[]]]
[5,3,7,8,1,4,2,6]=>[4,6,2,1,8,5,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[7,5,8,2,4,6,1,3]=>[2,4,1,7,5,3,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[[[]],[[]],[[],[]],[]]
[7,3,5,8,1,4,6,2]=>[2,6,4,1,8,5,3,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]
[4,5,1,7,8,3,6,2]=>[5,4,8,2,1,6,3,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[[[[[]],[]]],[[],[]]]
[7,4,1,5,8,3,6,2]=>[2,5,8,4,1,6,3,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[[[]],[[[]]],[[],[]]]
[6,7,4,3,8,1,5,2]=>[3,2,5,6,1,8,4,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[6,7,4,8,3,1,5,2]=>[3,2,5,1,6,8,4,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[6,7,4,8,3,5,2,1]=>[3,2,5,1,6,4,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[5,6,7,3,8,4,2,1]=>[4,3,2,6,1,5,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[5,6,7,3,1,8,4,2]=>[4,3,2,6,8,1,5,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[5,6,1,7,3,8,4,2]=>[4,3,8,2,6,1,5,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[[[[[]]]],[[[]],[]]]
[5,1,6,7,3,8,4,2]=>[4,8,3,2,6,1,5,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[[[[[]]]],[[[]],[]]]
[6,4,7,1,8,3,5,2]=>[3,5,2,8,1,6,4,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>[[[[]]],[[]],[[],[]]]
[6,7,8,3,1,4,5,2]=>[3,2,1,6,8,5,4,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[6,7,2,8,4,5,1,3]=>[3,2,7,1,5,4,8,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]
[6,7,2,8,4,1,3,5]=>[3,2,7,1,5,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]
[6,1,7,4,8,3,2,5]=>[3,8,2,5,1,6,7,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[[[[]]],[[[]],[],[]]]
[5,1,6,7,3,2,8,4]=>[4,8,3,2,6,7,1,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[[[[[]]]],[[[]],[]]]
[5,6,1,7,3,2,8,4]=>[4,3,8,2,6,7,1,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[[[[[]]]],[[[]],[]]]
[5,6,7,3,2,1,8,4]=>[4,3,2,6,7,8,1,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[5,6,7,3,2,8,4,1]=>[4,3,2,6,7,1,5,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[5,6,2,7,3,8,4,1]=>[4,3,7,2,6,1,5,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[5,6,2,7,3,1,8,4]=>[4,3,7,2,6,8,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[5,6,2,1,7,3,8,4]=>[4,3,7,8,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[6,1,7,4,2,8,3,5]=>[3,8,2,5,7,1,6,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[[[[]]],[[[]],[[]]]]
[6,7,2,1,8,3,4,5]=>[3,2,7,8,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[[[]]],[[[[]]]],[]]
[7,5,8,2,1,3,4,6]=>[2,4,1,7,8,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[[]],[[]],[[[]]],[]]
[5,7,3,1,8,2,4,6]=>[4,2,6,8,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[4,7,1,5,2,8,3,6]=>[5,2,8,4,7,1,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[7,4,2,5,1,8,3,6]=>[2,5,7,4,8,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[6,7,4,2,1,8,3,5]=>[3,2,5,7,8,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[6,7,4,2,8,3,1,5]=>[3,2,5,7,1,6,8,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[6,7,4,2,8,3,5,1]=>[3,2,5,7,1,6,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[3,6,7,2,8,4,5,1]=>[6,3,2,7,1,5,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[3,6,7,2,8,4,1,5]=>[6,3,2,7,1,5,8,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[3,6,7,2,1,8,4,5]=>[6,3,2,7,8,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[5,7,3,8,2,1,4,6]=>[4,2,6,1,7,8,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[3,4,7,8,2,1,5,6]=>[6,5,2,1,7,8,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[[[[[]],[[]]]],[],[]]
[3,7,8,1,4,6,2,5]=>[6,2,1,8,5,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[[[[]],[[],[]]],[[]]]
[3,4,7,8,2,6,1,5]=>[6,5,2,1,7,3,8,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]
[5,7,3,8,2,6,1,4]=>[4,2,6,1,7,3,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[3,6,7,2,8,5,1,4]=>[6,3,2,7,1,4,8,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,6,7,8,5,2,1,4]=>[6,3,2,1,4,7,8,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,6,7,8,5,2,4,1]=>[6,3,2,1,4,7,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[6,4,7,8,2,5,3,1]=>[3,5,2,1,7,4,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[6,4,7,8,2,1,5,3]=>[3,5,2,1,7,8,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[4,1,5,7,8,2,6,3]=>[5,8,4,2,1,7,3,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[5,3,7,8,1,6,2,4]=>[4,6,2,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[6,7,2,8,5,1,3,4]=>[3,2,7,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[[[[]]],[[],[[]]],[]]
[6,4,1,7,8,2,5,3]=>[3,5,8,2,1,7,4,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]
[5,1,6,2,7,8,4,3]=>[4,8,3,7,2,1,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[[[[[]]]],[[[],[]]]]
[5,6,2,1,7,8,4,3]=>[4,3,7,8,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,6,2,7,1,8,4,3]=>[4,3,7,2,8,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,6,2,7,8,4,3,1]=>[4,3,7,2,1,5,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,6,7,2,8,4,3,1]=>[4,3,2,7,1,5,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,6,7,2,1,8,4,3]=>[4,3,2,7,8,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,6,1,7,2,8,4,3]=>[4,3,8,2,7,1,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[[[[[]]]],[[[],[]]]]
[5,1,6,7,2,8,4,3]=>[4,8,3,2,7,1,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[[[[[]]]],[[[],[]]]]
[6,4,7,1,8,2,5,3]=>[3,5,2,8,1,7,4,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]
[3,6,7,1,8,5,2,4]=>[6,3,2,8,1,4,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[]]],[],[]],[[]]]
[6,7,8,5,2,4,1,3]=>[3,2,1,4,7,5,8,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[[[[]]],[],[[],[]],[]]
[6,7,8,3,5,1,4,2]=>[3,2,1,6,4,8,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]
[4,6,7,8,1,5,3,2]=>[5,3,2,1,8,4,6,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[[[[]]],[]],[[],[]]]
[5,1,6,7,8,4,3,2]=>[4,8,3,2,1,5,6,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[[[[[]]]],[[],[],[]]]
[5,6,1,7,8,4,3,2]=>[4,3,8,2,1,5,6,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[[[[[]]]],[[],[],[]]]
[5,6,7,1,8,4,3,2]=>[4,3,2,8,1,5,6,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[[[[[]]]],[[],[],[]]]
[8,6,1,3,4,2,5,7]=>[1,3,8,6,5,7,4,2]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>[[],[[]],[[[[]]],[]]]
[8,3,2,5,1,6,4,7]=>[1,6,7,4,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[[],[[[[]]],[]],[],[]]
[8,5,3,6,2,4,1,7]=>[1,4,6,3,7,5,8,2]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[],[[[]]],[[]],[],[]]
[5,3,2,7,4,1,8,6]=>[4,6,7,2,5,8,1,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[7,5,3,8,2,4,6,1]=>[2,4,6,1,7,5,3,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[7,2,4,5,8,3,6,1]=>[2,7,5,4,1,6,3,8]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[[[]],[[[[]]],[]],[]]
[2,4,5,3,7,1,8,6]=>[7,5,4,6,2,8,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[8,2,4,5,6,3,1,7]=>[1,7,5,4,3,6,8,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[[],[[[[[]]]],[]],[]]
[8,2,4,5,6,1,3,7]=>[1,7,5,4,3,8,6,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[[],[[[[[]]]],[]],[]]
[8,1,2,4,5,6,3,7]=>[1,8,7,5,4,3,6,2]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>[[],[[[[[[]]]],[]]]]
[8,2,5,1,3,6,4,7]=>[1,7,4,8,6,3,5,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>[[],[[[[]]],[[]]],[]]
[8,5,6,2,1,4,3,7]=>[1,4,3,7,8,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[[],[[[]]],[[],[]],[]]
[8,5,3,6,4,1,2,7]=>[1,4,6,3,5,8,7,2]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[[],[[[]]],[[]],[[]]]
[8,4,1,5,6,3,2,7]=>[1,5,8,4,3,6,7,2]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[[],[[[[]]]],[[],[]]]
[8,1,4,5,6,3,2,7]=>[1,8,5,4,3,6,7,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[[],[[[[[]]]],[],[]]]
[4,5,3,7,2,1,8,6]=>[5,4,6,2,7,8,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[7,4,5,8,3,2,6,1]=>[2,5,4,1,6,7,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[4,3,6,7,2,8,5,1]=>[5,6,3,2,7,1,4,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[4,3,6,7,2,8,1,5]=>[5,6,3,2,7,1,8,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[1,4,3,6,7,2,8,5]=>[8,5,6,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[[[[[]]],[]],[],[]]]
[4,5,3,7,1,8,2,6]=>[5,4,6,2,8,1,7,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[[[[[]],[]]],[],[[]]]
[4,1,5,3,7,2,8,6]=>[5,8,4,6,2,7,1,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[[[[[]],[]]],[[],[]]]
[5,3,4,7,1,2,8,6]=>[4,6,5,2,8,7,1,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[7,5,8,2,1,4,6,3]=>[2,4,1,7,8,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[[[]],[[]],[[],[]],[]]
[7,5,3,8,4,1,6,2]=>[2,4,6,1,5,8,3,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[[]],[[]],[[]],[[]]]
[7,4,5,8,3,6,1,2]=>[2,5,4,1,6,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[[[]],[[[]]],[],[[]]]
[4,3,6,7,8,1,5,2]=>[5,6,3,2,1,8,4,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[]]],[]],[],[[]]]
[1,6,4,7,8,3,5,2]=>[8,3,5,2,1,6,4,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[[[[[]]],[[]],[],[]]]
[6,4,7,8,3,5,2,1]=>[3,5,2,1,6,4,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[3,5,6,7,8,4,1,2]=>[6,4,3,2,1,5,8,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[[[[[[]]]],[]],[[]]]
[3,1,5,6,7,8,4,2]=>[6,8,4,3,2,1,5,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[[[[[[]]]],[]],[[]]]
[4,6,1,7,8,3,5,2]=>[5,3,8,2,1,6,4,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[[[[]]],[]],[[],[]]]
[3,6,7,1,4,8,5,2]=>[6,3,2,8,5,1,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[[[[]]],[[]]],[[]]]
[6,2,4,1,7,8,5,3]=>[3,7,5,8,2,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]
[2,6,7,1,4,8,3,5]=>[7,3,2,8,5,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[4,3,6,7,8,1,2,5]=>[5,6,3,2,1,8,7,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[]]],[]],[],[[]]]
[1,5,3,6,7,8,2,4]=>[8,4,6,3,2,1,7,5]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[[[[[[]]]],[[]],[]]]
[3,5,6,7,8,2,1,4]=>[6,4,3,2,1,7,8,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[3,5,6,7,8,2,4,1]=>[6,4,3,2,1,7,5,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]
[5,2,7,1,3,8,4,6]=>[4,7,2,8,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[]],[]],[[[]]],[]]
[5,3,1,7,8,2,4,6]=>[4,6,8,2,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[4,5,2,7,8,1,3,6]=>[5,4,7,2,1,8,6,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[4,2,6,7,8,3,1,5]=>[5,7,3,2,1,6,8,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,2,6,7,8,3,5,1]=>[5,7,3,2,1,6,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[3,6,2,7,4,8,5,1]=>[6,3,7,2,5,1,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[3,6,2,7,4,8,1,5]=>[6,3,7,2,5,1,8,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[3,2,1,6,4,7,8,5]=>[6,7,8,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[3,7,4,2,1,5,8,6]=>[6,2,5,7,8,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[[[[]],[[[]]]],[],[]]
[1,7,3,4,2,5,8,6]=>[8,2,6,5,7,4,1,3]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>[[[[]],[[[[]]]],[]]]
[4,7,2,1,3,5,8,6]=>[5,2,7,8,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[]],[[]]],[[]],[]]
[7,8,4,2,1,3,6,5]=>[2,1,5,7,8,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[]],[[],[]],[[]],[]]
[7,8,1,3,4,2,6,5]=>[2,1,8,6,5,7,3,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>[[[]],[[[[],[]]],[]]]
[7,8,3,4,2,1,6,5]=>[2,1,6,5,7,8,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[[[]],[[[],[]]],[],[]]
[6,3,2,7,1,8,5,4]=>[3,6,7,2,8,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]
[3,6,2,7,1,8,5,4]=>[6,3,7,2,8,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[6,7,3,8,2,5,4,1]=>[3,2,6,1,7,4,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]
[6,4,7,8,5,2,3,1]=>[3,5,2,1,4,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[2,6,4,7,8,1,5,3]=>[7,3,5,2,1,8,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[4,6,2,7,8,1,5,3]=>[5,3,7,2,1,8,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[7,4,5,8,6,2,1,3]=>[2,5,4,1,3,7,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[7,4,1,5,8,6,2,3]=>[2,5,8,4,1,3,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[[[]],[[[]]],[[[]]]]
[7,5,3,8,6,1,2,4]=>[2,4,6,1,3,8,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[[]],[[]],[[]],[[]]]
[7,5,8,2,1,6,3,4]=>[2,4,1,7,8,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[[]],[[]],[[[]]],[]]
[6,2,7,1,3,8,5,4]=>[3,7,2,8,6,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[[[[]]],[[[],[]]],[]]
[6,3,1,7,8,2,5,4]=>[3,6,8,2,1,7,4,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]
[4,6,1,7,8,5,2,3]=>[5,3,8,2,1,4,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[5,1,2,6,7,8,4,3]=>[4,8,7,3,2,1,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[[[[[]]]],[[[],[]]]]
[5,2,6,7,8,4,1,3]=>[4,7,3,2,1,5,8,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,2,6,7,8,4,3,1]=>[4,7,3,2,1,5,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[2,5,6,7,8,4,1,3]=>[7,4,3,2,1,5,8,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[1,5,2,6,7,8,4,3]=>[8,4,7,3,2,1,5,6]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[[[[[[]]]],[[],[]]]]
[1,6,4,7,8,5,2,3]=>[8,3,5,2,1,4,7,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>[[[[[]]],[[]],[[]]]]
[2,6,7,1,3,8,5,4]=>[7,3,2,8,6,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[[[[[]]],[[],[]]],[]]
[6,7,8,2,1,5,4,3]=>[3,2,1,7,8,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[[[[]]],[[],[],[]],[]]
[6,7,3,8,5,1,4,2]=>[3,2,6,1,4,8,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]
[6,4,7,8,5,3,1,2]=>[3,5,2,1,4,6,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[4,5,2,3,7,6,1,8]=>[5,4,7,6,2,3,8,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[6,4,3,7,2,5,1,8]=>[3,5,6,2,7,4,8,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[8,4,3,6,5,1,2,7]=>[1,5,6,3,4,8,7,2]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[[],[[[]],[]],[],[[]]]
[1,5,6,3,4,8,7,2]=>[8,4,3,6,5,1,2,7]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>[[[[[],[]]],[[]],[]]]
[4,6,2,7,3,5,1,8]=>[5,3,7,2,6,4,8,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[3,2,6,7,4,5,1,8]=>[6,7,3,2,5,4,8,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[4,7,2,6,5,3,1,8]=>[5,2,7,3,4,6,8,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]
[5,7,6,2,4,3,1,8]=>[4,2,3,7,5,6,8,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[]],[]],[[],[]],[]]
[1,7,5,4,8,3,6,2]=>[8,2,4,5,1,6,3,7]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[[[[]],[[]],[],[],[]]]
[8,7,5,4,1,3,2,6]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[],[],[[]],[],[[],[]]]
[6,8,5,4,2,1,3,7]=>[3,1,4,5,7,8,6,2]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[[[],[]],[],[],[[]],[]]
[5,8,6,2,4,1,3,7]=>[4,1,3,7,5,8,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[[[],[[]]],[[],[]],[]]
[4,8,2,6,5,1,3,7]=>[5,1,7,3,4,8,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[],[[]],[]],[[]],[]]
[3,2,8,6,5,1,4,7]=>[6,7,1,3,4,8,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[[[],[[]],[],[]],[],[]]
[4,1,2,6,5,8,7,3]=>[5,8,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[5,1,6,2,4,8,7,3]=>[4,8,3,7,5,1,2,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[[[[],[]]],[[[],[]]]]
[6,1,5,4,2,8,7,3]=>[3,8,4,5,7,1,2,6]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[[[],[]],[[],[],[[]]]]
[7,1,5,4,8,2,6,3]=>[2,8,4,5,1,7,3,6]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>[[[]],[[[]],[],[[]]]]
[8,1,5,4,7,6,2,3]=>[1,8,4,5,2,3,7,6]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[[],[[[],[]],[],[[]]]]
[1,8,6,7,4,5,3,2]=>[8,1,3,2,5,4,6,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[[[],[[]],[[]],[],[]]]
[8,1,6,7,4,5,2,3]=>[1,8,3,2,5,4,7,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[[],[[[]],[[]],[[]]]]
[7,1,6,8,4,2,5,3]=>[2,8,3,1,5,7,4,6]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[[[]],[[],[[]],[[]]]]
[6,1,7,8,2,4,5,3]=>[3,8,2,1,7,5,4,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>[[[[]]],[[[[]],[]]]]
[5,1,7,2,8,4,6,3]=>[4,8,2,7,1,5,3,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[[[[]],[]],[[[],[]]]]
[4,1,2,7,8,5,6,3]=>[5,8,7,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[3,2,1,7,8,5,6,4]=>[6,7,8,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]
[3,2,8,7,1,5,4,6]=>[6,7,1,2,8,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[[[],[],[[]],[]],[],[]]
[4,8,2,7,1,5,3,6]=>[5,1,7,2,8,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[[[],[],[[]]],[[]],[]]
[5,8,7,2,1,4,3,6]=>[4,1,2,7,8,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[],[]],[[],[]],[]]
[6,8,7,1,2,4,3,5]=>[3,1,2,8,7,5,6,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>[[[],[]],[[[[]],[]]]]
[7,8,6,1,4,2,3,5]=>[2,1,3,8,5,7,6,4]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[[[]],[],[[[]],[[]]]]
[8,7,6,1,4,3,2,5]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[[],[],[],[[[]],[],[]]]
[1,7,6,8,4,3,5,2]=>[8,2,3,1,5,6,4,7]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>[[[[]],[],[[]],[],[]]]
[1,6,7,8,3,4,5,2]=>[8,3,2,1,6,5,4,7]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[[[[[]]],[[[]]],[]]]
[8,6,7,1,3,4,2,5]=>[1,3,2,8,6,5,7,4]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>[[],[[]],[[[[]]],[]]]
[7,6,8,1,3,2,4,5]=>[2,3,1,8,6,7,5,4]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>[[[]],[],[[[[]]],[]]]
[5,7,8,2,1,3,4,6]=>[4,2,1,7,8,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[]],[]],[[[]]],[]]
[4,7,2,8,1,3,5,6]=>[5,2,7,1,8,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[]],[[]]],[[]],[]]
[3,2,6,8,4,1,5,7]=>[6,7,3,1,5,8,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]
[4,6,2,8,3,1,5,7]=>[5,3,7,1,6,8,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]
[5,6,8,2,3,1,4,7]=>[4,3,1,7,6,8,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[]]],[[[]]],[]]
[6,5,8,3,2,1,4,7]=>[3,4,1,6,7,8,5,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[],[[]],[],[]]
[7,5,8,3,1,2,4,6]=>[2,4,1,6,8,7,5,3]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[[]],[[]],[[]],[[]]]
[8,5,7,3,1,4,2,6]=>[1,4,2,6,8,5,7,3]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[],[[],[]],[[]],[[]]]
[1,5,7,3,8,4,6,2]=>[8,4,2,6,1,5,3,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[[[[[]],[]],[[]],[]]]
[1,4,3,7,8,5,6,2]=>[8,5,6,2,1,4,3,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>[[[[[]],[[]]],[],[]]]
[8,4,3,7,1,5,2,6]=>[1,5,6,2,8,4,7,3]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[[],[[],[[]]],[],[[]]]
[6,4,3,8,2,1,5,7]=>[3,5,6,1,7,8,4,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[]],[],[],[]]
[4,5,2,3,8,1,6,7]=>[5,4,7,6,1,8,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>[[[[],[[]]]],[[]],[]]
[3,2,5,4,8,1,6,7]=>[6,7,4,5,1,8,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[[[[],[[]]],[]],[],[]]
[4,5,2,3,1,8,7,6]=>[5,4,7,6,8,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[],[],[]]],[[]],[]]
[6,4,3,1,2,8,7,5]=>[3,5,6,8,7,1,2,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]
[7,4,3,1,8,2,6,5]=>[2,5,6,8,1,7,3,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[[[]],[[],[]],[],[[]]]
[8,4,3,1,7,6,2,5]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[],[[],[],[]],[],[[]]]
[1,5,8,3,7,6,4,2]=>[8,4,1,6,2,3,5,7]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[[[[],[],[]],[[]],[]]]
[8,5,1,3,7,6,2,4]=>[1,4,8,6,2,3,7,5]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[[],[[],[]],[[[]],[]]]
[7,5,1,3,8,2,6,4]=>[2,4,8,6,1,7,3,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[[[]],[[]],[[[]],[]]]
[6,5,1,3,2,8,7,4]=>[3,4,8,6,7,1,2,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[[[],[]],[],[[[]],[]]]
[5,6,1,2,3,8,7,4]=>[4,3,8,7,6,1,2,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[[],[]]],[[[[]]]]]
[4,6,2,1,3,8,7,5]=>[5,3,7,8,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]
[3,2,6,1,4,8,7,5]=>[6,7,3,8,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]
[3,2,7,1,8,4,6,5]=>[6,7,2,8,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[[[[]],[[],[]]],[],[]]
[4,7,2,1,8,3,6,5]=>[5,2,7,8,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]
[5,7,1,2,8,3,6,4]=>[4,2,8,7,1,6,3,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[[[[]],[]],[[[[]]]]]
[6,7,1,8,2,3,5,4]=>[3,2,8,1,7,6,4,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[[[[]]],[[[[],[]]]]]
[7,6,1,8,3,2,5,4]=>[2,3,8,1,6,7,4,5]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>[[[]],[],[[[],[]],[]]]
[8,6,1,7,3,5,2,4]=>[1,3,8,2,6,4,7,5]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[],[[]],[[[],[]],[]]]
[1,6,8,7,3,5,4,2]=>[8,3,1,2,6,4,5,7]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[[[[],[]],[[],[]],[]]]
[1,7,8,6,5,3,4,2]=>[8,2,1,3,4,6,5,7]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>[[[[]],[],[],[[]],[]]]
[8,7,1,6,5,3,2,4]=>[1,2,8,3,4,6,7,5]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[[],[],[[],[],[[]],[]]]
[7,8,1,6,5,2,3,4]=>[2,1,8,3,4,7,6,5]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[[[]],[[],[],[[[]]]]]
[6,8,1,7,2,5,3,4]=>[3,1,8,2,7,4,6,5]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[[[],[]],[[[],[[]]]]]
[5,8,1,2,7,6,3,4]=>[4,1,8,7,2,3,6,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[],[],[]],[[[[]]]]]
[4,8,2,1,7,6,3,5]=>[5,1,7,8,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[],[],[],[]],[[]],[]]
[3,2,8,1,7,6,4,5]=>[6,7,1,8,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[[[],[],[],[[]]],[],[]]
[4,1,2,8,7,6,5,3]=>[5,8,7,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[[[],[],[],[]],[[[]]]]
[5,1,8,2,7,6,4,3]=>[4,8,1,7,2,3,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[[[],[],[]],[[[],[]]]]
[6,1,8,7,2,5,4,3]=>[3,8,1,2,7,4,5,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>[[[],[]],[[[],[],[]]]]
[7,1,8,6,5,2,4,3]=>[2,8,1,3,4,7,5,6]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>[[[]],[[],[],[[],[]]]]
[8,1,7,6,5,4,2,3]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[],[[],[],[],[],[[]]]]
[3,1,2,6,5,8,7,4]=>[6,8,7,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]
[3,1,6,2,4,8,7,5]=>[6,8,3,7,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[[],[]],[[]]],[[]]]
[3,1,5,2,4,8,7,6]=>[6,8,4,7,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[],[]],[]],[[]]]
[4,5,1,2,3,8,7,6]=>[5,4,8,7,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[[[[],[],[]]],[[[]]]]
[4,6,1,2,3,8,7,5]=>[5,3,8,7,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[1,6,5,3,4,8,7,2]=>[8,3,4,6,5,1,2,7]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>[[[[],[]],[],[[]],[]]]
[6,1,5,2,4,8,7,3]=>[3,8,4,7,5,1,2,6]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[[[],[]],[[],[[],[]]]]
[6,5,1,2,3,8,7,4]=>[3,4,8,7,6,1,2,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[],[]],[],[[[[]]]]]
[6,4,1,2,3,8,7,5]=>[3,5,8,7,6,1,2,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[]],[[[]]]]
[5,4,1,2,3,8,7,6]=>[4,5,8,7,6,1,2,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[],[]],[],[[[]]]]
[5,4,1,2,7,3,6,8]=>[4,5,8,7,2,6,3,1]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[[[]],[]],[],[[[]]]]
[6,4,1,7,2,3,5,8]=>[3,5,8,2,7,6,4,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]
[6,4,1,8,2,3,5,7]=>[3,5,8,1,7,6,4,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[]],[[[]]]]
[7,4,1,2,8,3,6,5]=>[2,5,8,7,1,6,3,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[]],[[],[]],[[[]]]]
[7,5,1,2,8,3,6,4]=>[2,4,8,7,1,6,3,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[[[]],[[]],[[[[]]]]]
[7,1,5,2,8,4,6,3]=>[2,8,4,7,1,5,3,6]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>[[[]],[[[]],[[],[]]]]
[1,7,5,3,8,4,6,2]=>[8,2,4,6,1,5,3,7]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[[[[]],[[]],[[]],[]]]
[1,8,5,3,7,4,6,2]=>[8,1,4,6,2,5,3,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[[[],[[],[]],[[]],[]]]
[8,1,5,2,7,4,6,3]=>[1,8,4,7,2,5,3,6]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[[],[[[],[]],[[],[]]]]
[8,5,1,2,7,3,6,4]=>[1,4,8,7,2,6,3,5]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[[],[[],[]],[[[[]]]]]
[8,4,1,2,7,3,6,5]=>[1,5,8,7,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[],[[],[],[]],[[[]]]]
[8,4,1,7,2,3,5,6]=>[1,5,8,2,7,6,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[[],[[],[[]]],[[[]]]]
[7,4,1,6,2,3,5,8]=>[2,5,8,3,7,6,4,1]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[]],[[],[]],[[[]]]]
[8,6,1,7,2,3,5,4]=>[1,3,8,2,7,6,4,5]=>[.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>[[],[[]],[[[[],[]]]]]
[8,1,6,7,2,4,5,3]=>[1,8,3,2,7,5,4,6]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[[],[[[]],[[[]],[]]]]
[1,8,6,7,3,4,5,2]=>[8,1,3,2,6,5,4,7]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[[[],[[]],[[[]]],[]]]
[1,7,6,8,3,4,5,2]=>[8,2,3,1,6,5,4,7]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[[[[]],[],[[[]]],[]]]
[7,1,6,8,2,4,5,3]=>[2,8,3,1,7,5,4,6]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>[[[]],[[],[[[]],[]]]]
[7,6,1,8,2,3,5,4]=>[2,3,8,1,7,6,4,5]=>[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[[[]],[],[[[[],[]]]]]
[4,7,1,2,8,3,6,5]=>[5,2,8,7,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[]],[],[]],[[[]]]]
[3,1,7,2,8,4,6,5]=>[6,8,2,7,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[[[[]],[[],[]]],[[]]]
[3,1,2,7,8,5,6,4]=>[6,8,7,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[[[]],[[]],[]],[[]]]
[1,4,3,8,7,5,6,2]=>[8,5,6,1,2,4,3,7]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]=>[[[[],[],[[]]],[],[]]]
[4,1,2,8,7,5,6,3]=>[5,8,7,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[[[],[],[[]]],[[[]]]]
[3,1,2,8,7,5,6,4]=>[6,8,7,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[[[],[],[[]],[]],[[]]]
[3,1,8,2,7,4,6,5]=>[6,8,1,7,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>[[[],[],[[],[]]],[[]]]
[3,1,8,7,2,4,5,6]=>[6,8,1,2,7,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[[[],[],[[[]]]],[[]]]
[3,1,7,6,2,4,5,8]=>[6,8,2,3,7,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[[[[]],[],[[]]],[[]]]
[4,7,1,6,2,3,5,8]=>[5,2,8,3,7,6,4,1]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[]],[],[]],[[[]]]]
[4,8,1,6,2,3,5,7]=>[5,1,8,3,7,6,4,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[[[],[[]],[]],[[[]]]]
[4,8,1,7,2,3,5,6]=>[5,1,8,2,7,6,4,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[[[],[],[[]]],[[[]]]]
[4,8,1,2,7,3,6,5]=>[5,1,8,7,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[[[],[],[],[]],[[[]]]]
[5,8,1,2,7,3,6,4]=>[4,1,8,7,2,6,3,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[],[],[]],[[[[]]]]]
[5,1,8,2,7,4,6,3]=>[4,8,1,7,2,5,3,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[[[],[],[]],[[[],[]]]]
[1,5,8,3,7,4,6,2]=>[8,4,1,6,2,5,3,7]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[[[[],[],[]],[[]],[]]]
[1,6,8,7,3,4,5,2]=>[8,3,1,2,6,5,4,7]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[[[[],[]],[[[]]],[]]]
[6,1,8,7,2,4,5,3]=>[3,8,1,2,7,5,4,6]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>[[[],[]],[[[[]],[]]]]
[6,8,1,7,2,3,5,4]=>[3,1,8,2,7,6,4,5]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[[[],[]],[[[[],[]]]]]
[6,8,7,1,2,3,4,5]=>[3,1,2,8,7,6,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[[[],[]],[[[[[]]]]]]
[5,8,7,1,2,3,4,6]=>[4,1,2,8,7,6,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[],[],[]],[[[[]]]]]
[5,8,6,1,2,3,4,7]=>[4,1,3,8,7,6,5,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[[[],[[]]],[[[[]]]]]
[5,7,6,1,2,3,4,8]=>[4,2,3,8,7,6,5,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[[[[]],[]],[[[[]]]]]
[7,8,1,6,2,3,5,4]=>[2,1,8,3,7,6,4,5]=>[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[[[]],[[],[[[],[]]]]]
[7,1,8,6,2,4,5,3]=>[2,8,1,3,7,5,4,6]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>[[[]],[[],[[[]],[]]]]
[1,7,8,6,3,4,5,2]=>[8,2,1,3,6,5,4,7]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[[[[]],[],[[[]]],[]]]
[1,8,7,6,3,4,5,2]=>[8,1,2,3,6,5,4,7]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[[[],[],[],[[[]]],[]]]
[8,1,7,6,2,4,5,3]=>[1,8,2,3,7,5,4,6]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[[],[[],[],[[[]],[]]]]
[8,7,1,6,2,3,5,4]=>[1,2,8,3,7,6,4,5]=>[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[[],[],[[],[[[],[]]]]]
[3,2,5,1,6,4,8,7]=>[6,7,4,8,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[3,2,5,4,7,1,8,6]=>[6,7,4,5,2,8,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[4,2,5,3,7,6,8,1]=>[5,7,4,6,2,3,1,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[4,2,5,3,7,1,8,6]=>[5,7,4,6,2,8,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[4,2,5,3,6,1,8,7]=>[5,7,4,6,3,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[[[],[]]]],[[]],[]]
[4,2,5,1,6,3,8,7]=>[5,7,4,8,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[[[],[]]]],[[]],[]]
[3,1,5,4,6,2,8,7]=>[6,8,4,5,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[[[],[]]],[]],[[]]]
[4,1,5,3,6,2,8,7]=>[5,8,4,6,3,7,1,2]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[[[[[],[]]]],[[],[]]]
[4,3,5,1,6,2,8,7]=>[5,6,4,8,3,7,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[[[[[],[]]]],[],[[]]]
[4,3,5,2,7,1,8,6]=>[5,6,4,7,2,8,1,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]
[4,3,6,2,7,5,8,1]=>[5,6,3,7,2,4,1,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[4,3,6,2,7,1,8,5]=>[5,6,3,7,2,8,1,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]
[4,3,6,1,7,2,8,5]=>[5,6,3,8,2,7,1,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[]]],[]],[],[[]]]
[4,3,5,1,7,2,8,6]=>[5,6,4,8,2,7,1,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[[[[[]],[]]],[],[[]]]
[3,1,5,4,7,2,8,6]=>[6,8,4,5,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[[[[]],[]],[]],[[]]]
[2,1,5,4,7,3,8,6]=>[7,8,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[3,1,5,4,7,6,8,2]=>[6,8,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[[[[]],[]],[]],[[]]]
[4,1,5,3,7,6,8,2]=>[5,8,4,6,2,3,1,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[[[[[]],[]]],[[],[]]]
[4,3,5,1,7,6,8,2]=>[5,6,4,8,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[[[[[]],[]]],[],[[]]]
[4,3,6,1,7,5,8,2]=>[5,6,3,8,2,4,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[]]],[]],[],[[]]]
[4,3,6,5,7,1,8,2]=>[5,6,3,4,2,8,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[]]],[]],[],[[]]]
[5,3,6,4,7,2,8,1]=>[4,6,3,5,2,7,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[5,3,6,4,7,1,8,2]=>[4,6,3,5,2,8,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[5,3,6,1,7,4,8,2]=>[4,6,3,8,2,5,1,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[5,1,6,3,7,4,8,2]=>[4,8,3,6,2,5,1,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[[[[[]]]],[[[]],[]]]
[4,1,6,3,7,5,8,2]=>[5,8,3,6,2,4,1,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[[[[]]],[]],[[],[]]]
[3,1,6,4,7,5,8,2]=>[6,8,3,5,2,4,1,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[[[[]]],[[]]],[[]]]
[2,1,6,4,7,5,8,3]=>[7,8,3,5,2,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[2,1,6,4,7,3,8,5]=>[7,8,3,5,2,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[3,1,6,4,7,2,8,5]=>[6,8,3,5,2,7,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[[[[]]],[[]]],[[]]]
[4,1,6,3,7,2,8,5]=>[5,8,3,6,2,7,1,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[[[[]]],[]],[[],[]]]
[5,1,6,3,7,2,8,4]=>[4,8,3,6,2,7,1,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[[[[[]]]],[[[]],[]]]
[5,3,6,1,7,2,8,4]=>[4,6,3,8,2,7,1,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[5,3,6,2,7,1,8,4]=>[4,6,3,7,2,8,1,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[5,3,6,2,7,4,8,1]=>[4,6,3,7,2,5,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[5,2,6,3,7,4,8,1]=>[4,7,3,6,2,5,1,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[5,2,6,3,7,1,8,4]=>[4,7,3,6,2,8,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[5,2,6,1,7,3,8,4]=>[4,7,3,8,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]
[4,2,5,1,7,3,8,6]=>[5,7,4,8,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[4,2,6,1,7,3,8,5]=>[5,7,3,8,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,2,6,3,7,1,8,5]=>[5,7,3,6,2,8,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,2,6,3,7,5,8,1]=>[5,7,3,6,2,4,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[3,2,6,4,7,5,8,1]=>[6,7,3,5,2,4,1,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[3,2,6,4,7,1,8,5]=>[6,7,3,5,2,8,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[3,2,6,1,7,4,8,5]=>[6,7,3,8,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[3,2,5,1,7,4,8,6]=>[6,7,4,8,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[3,2,4,1,7,5,8,6]=>[6,7,5,8,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[[[[[]],[[]]]],[],[]]
[3,1,4,2,7,6,8,5]=>[6,8,5,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[[[[[]],[],[]]],[[]]]
[3,2,5,1,7,6,8,4]=>[6,7,4,8,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[3,2,6,1,7,5,8,4]=>[6,7,3,8,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[3,2,6,5,7,1,8,4]=>[6,7,3,4,2,8,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]
[4,2,6,5,7,3,8,1]=>[5,7,3,4,2,6,1,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,2,6,5,7,1,8,3]=>[5,7,3,4,2,8,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,2,6,1,7,5,8,3]=>[5,7,3,8,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,2,5,1,7,6,8,3]=>[5,7,4,8,2,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[4,1,5,2,7,6,8,3]=>[5,8,4,7,2,3,1,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]
[3,1,5,2,7,6,8,4]=>[6,8,4,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[[[[]],[]],[]],[[]]]
[2,1,5,3,7,6,8,4]=>[7,8,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[2,1,6,3,7,5,8,4]=>[7,8,3,6,2,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[[[[[]]],[[],[]]],[]]
[3,1,6,2,7,5,8,4]=>[6,8,3,7,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[]]],[],[]],[[]]]
[4,1,6,2,7,5,8,3]=>[5,8,3,7,2,4,1,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[5,1,6,2,7,4,8,3]=>[4,8,3,7,2,5,1,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[[[[[]]]],[[[],[]]]]
[5,2,6,1,7,4,8,3]=>[4,7,3,8,2,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,2,6,4,7,1,8,3]=>[4,7,3,5,2,8,1,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,2,6,4,7,3,8,1]=>[4,7,3,5,2,6,1,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]
[5,4,6,2,7,3,8,1]=>[4,5,3,7,2,6,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[5,4,6,2,7,1,8,3]=>[4,5,3,7,2,8,1,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[5,4,6,1,7,2,8,3]=>[4,5,3,8,2,7,1,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[[[[[]]]],[],[[[]]]]
[5,1,6,4,7,2,8,3]=>[4,8,3,5,2,7,1,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[[[[[]]]],[[],[[]]]]
[4,1,6,5,7,2,8,3]=>[5,8,3,4,2,7,1,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[3,1,6,5,7,2,8,4]=>[6,8,3,4,2,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[]]],[],[]],[[]]]
[2,1,6,5,7,3,8,4]=>[7,8,3,4,2,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[[[[[]]],[],[[]]],[]]
[3,1,6,5,7,4,8,2]=>[6,8,3,4,2,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[]]],[],[]],[[]]]
[4,1,6,5,7,3,8,2]=>[5,8,3,4,2,6,1,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[[[[]]],[]],[[],[]]]
[5,1,6,4,7,3,8,2]=>[4,8,3,5,2,6,1,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[[[[[]]]],[[],[],[]]]
[5,4,6,1,7,3,8,2]=>[4,5,3,8,2,6,1,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[[[[[]]]],[],[[],[]]]
[5,4,6,3,7,1,8,2]=>[4,5,3,6,2,8,1,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[[[[]]]],[],[],[[]]]
[8,3,5,2,1,6,4,7]=>[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[[],[[[[]]],[]],[],[]]
[8,6,3,5,2,4,1,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[],[[]],[[],[]],[],[]]
[3,7,5,2,4,1,8,6]=>[6,2,4,7,5,8,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]
[8,3,7,5,2,4,6,1]=>[1,6,2,4,7,5,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[],[[],[[]],[]],[],[]]
[8,2,4,5,7,3,6,1]=>[1,7,5,4,2,6,3,8]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>[[],[[[[],[]]],[]],[]]
[2,4,5,7,3,1,8,6]=>[7,5,4,2,6,8,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]
[8,2,4,6,5,3,1,7]=>[1,7,5,3,4,6,8,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[],[[[[]],[]],[]],[]]
[8,2,5,4,6,1,3,7]=>[1,7,4,5,3,8,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>[[],[[[[]]],[],[]],[]]
[8,6,3,5,1,4,2,7]=>[1,3,6,4,8,5,7,2]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[],[[]],[[],[]],[[]]]
[8,6,1,4,5,3,2,7]=>[1,3,8,5,4,6,7,2]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[[],[[]],[[[]],[],[]]]
[8,1,5,6,4,3,2,7]=>[1,8,4,3,5,6,7,2]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[[],[[[[]]],[],[],[]]]
[5,7,4,3,2,1,8,6]=>[4,2,5,6,7,8,1,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[8,5,7,4,3,2,6,1]=>[1,4,2,5,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[],[[],[]],[],[],[],[]]
[4,6,8,3,2,7,5,1]=>[5,3,1,6,7,2,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]
[4,7,6,3,2,8,1,5]=>[5,2,3,6,7,1,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[1,4,6,7,3,2,8,5]=>[8,5,3,2,6,7,1,4]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[[[[[]]],[]],[],[]]]
[5,4,7,3,1,8,2,6]=>[4,5,2,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[]],[]],[],[],[[]]]
[1,7,4,5,3,2,8,6]=>[8,2,5,4,6,7,1,3]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>[[[[]],[[[]]],[],[]]]
[3,7,5,1,4,2,8,6]=>[6,2,4,8,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[[[]],[[]],[]],[[]]]
[5,7,4,2,1,3,8,6]=>[4,2,5,7,8,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]
[8,5,7,4,2,1,6,3]=>[1,4,2,5,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[],[[],[]],[],[[]],[]]
[8,3,7,5,1,4,6,2]=>[1,6,2,4,8,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[],[[],[[]],[]],[[]]]
[8,4,1,7,5,3,6,2]=>[1,5,8,2,4,6,3,7]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[[],[[],[[]]],[[],[]]]
[4,6,3,8,7,1,5,2]=>[5,3,6,1,2,8,4,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[[[[],[]],[]],[],[[]]]
[1,7,4,8,6,3,5,2]=>[8,2,5,1,3,6,4,7]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>[[[[]],[[],[]],[],[]]]
[8,4,7,6,3,5,2,1]=>[1,5,2,3,6,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[],[[],[],[]],[],[],[]]
[3,6,5,8,7,4,1,2]=>[6,3,4,1,2,5,8,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]
[3,1,5,8,6,7,4,2]=>[6,8,4,1,3,2,5,7]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[[[[],[[]]],[]],[[]]]
[4,8,1,6,7,3,5,2]=>[5,1,8,3,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[[[],[[]],[]],[[],[]]]
[3,6,4,1,8,7,5,2]=>[6,3,5,8,1,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[[],[]],[[]]],[[]]]
[8,2,6,1,4,7,5,3]=>[1,7,3,8,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[],[[[]],[[]],[]],[]]
[2,7,6,8,1,4,3,5]=>[7,2,3,1,8,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[[[[]],[],[[]],[]],[]]
[3,7,1,6,4,8,2,5]=>[6,2,8,3,5,1,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[[[[]],[],[[]]],[[]]]
[1,7,3,5,6,8,2,4]=>[8,2,6,4,3,1,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[[[[]],[[[]],[]],[]]]
[1,3,6,7,5,8,2,4]=>[8,6,3,2,4,1,7,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[[[[[[]]],[],[]],[]]]
[3,7,6,5,8,2,1,4]=>[6,2,3,4,1,7,8,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]
[3,6,8,5,7,2,4,1]=>[6,3,1,4,2,7,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]
[2,3,5,7,6,8,1,4]=>[7,6,4,2,3,1,8,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]
[2,1,6,5,7,8,3,4]=>[7,8,3,4,2,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[[[[[]]],[],[[]]],[]]
[4,2,7,6,8,3,1,5]=>[5,7,2,3,1,6,8,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]
[4,2,6,8,7,3,5,1]=>[5,7,3,1,2,6,4,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]
[3,8,2,4,6,7,5,1]=>[6,1,7,5,3,2,4,8]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[[[],[[[]],[]]],[],[]]
[3,7,2,6,4,8,1,5]=>[6,2,7,3,5,1,8,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[[[[]],[],[[]]],[],[]]
[3,2,6,1,4,7,8,5]=>[6,7,3,8,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[5,3,7,2,1,8,4,6]=>[4,6,2,7,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[4,7,3,2,1,5,8,6]=>[5,2,6,7,8,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]
[8,7,6,1,3,4,2,5]=>[1,2,3,8,6,5,7,4]=>[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[[],[],[],[[[[]]],[]]]
[8,5,7,3,2,1,6,4]=>[1,4,2,6,7,8,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[],[[],[]],[[]],[],[]]
[8,3,6,7,2,1,5,4]=>[1,6,3,2,7,8,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[],[[[]],[],[]],[],[]]
[3,7,8,6,2,1,5,4]=>[6,2,1,3,7,8,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]
[8,7,6,3,5,2,4,1]=>[1,2,3,6,4,7,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[[],[],[],[[],[]],[],[]]
[2,7,4,8,1,6,5,3]=>[7,2,5,1,8,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[[[[]],[[],[]],[]],[]]
[4,6,8,2,1,7,5,3]=>[5,3,1,7,8,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]
[8,4,1,5,7,2,6,3]=>[1,5,8,4,2,7,3,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[[],[[[],[]]],[[[]]]]
[8,5,3,7,1,6,2,4]=>[1,4,6,2,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[],[[],[]],[[]],[[]]]
[8,5,7,2,1,3,6,4]=>[1,4,2,7,8,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[],[[],[]],[[[]]],[]]
[8,2,6,7,1,3,5,4]=>[1,7,3,2,8,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>[[],[[[]],[[],[]]],[]]
[8,3,6,1,7,5,2,4]=>[1,6,3,8,2,4,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[],[[[]],[],[]],[[]]]
[4,6,1,8,7,2,5,3]=>[5,3,8,1,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[8,1,2,5,6,7,4,3]=>[1,8,7,4,3,2,5,6]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[[],[[[[[]]],[],[]]]]
[8,2,6,5,7,4,1,3]=>[1,7,3,4,2,5,8,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[[],[[[]],[],[],[]],[]]
[2,1,7,8,5,6,4,3]=>[7,8,2,1,4,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[]],[[]],[],[]],[]]
[8,2,5,7,6,4,3,1]=>[1,7,4,2,3,5,6,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[[],[[[],[]],[],[]],[]]
[2,7,6,8,5,4,1,3]=>[7,2,3,1,4,5,8,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[[[[]],[],[],[],[]],[]]
[1,7,2,5,8,6,4,3]=>[8,2,7,4,1,3,5,6]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>[[[[]],[[[]],[],[]]]]
[1,7,4,8,2,6,5,3]=>[8,2,5,1,7,3,4,6]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>[[[[]],[[],[]],[[]]]]
[3,7,8,1,6,5,2,4]=>[6,2,1,8,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[[[[]],[],[],[]],[[]]]
[2,7,8,6,1,3,5,4]=>[7,2,1,3,8,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>[[[[]],[],[[],[]]],[]]
[8,7,6,3,5,1,4,2]=>[1,2,3,6,4,8,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[[],[],[],[[],[]],[[]]]
[8,4,7,6,5,1,3,2]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[],[[],[],[]],[[],[]]]
[8,7,1,5,6,4,3,2]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>[[],[],[[[]],[],[],[]]]
[8,1,6,7,5,4,3,2]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>[[],[[[]],[],[],[],[]]]
[6,5,3,1,2,4,8,7]=>[3,4,6,8,7,5,1,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[],[[]],[[]]]
[4,6,3,5,1,2,8,7]=>[5,3,6,4,8,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[[[[],[]],[]],[],[[]]]
[8,5,3,7,2,1,4,6]=>[1,4,6,2,7,8,5,3]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[],[[],[]],[[]],[],[]]
[6,8,1,4,5,7,3,2]=>[3,1,8,5,4,2,6,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[[[],[]],[[[]],[],[]]]
[8,7,2,4,5,1,3,6]=>[1,2,7,5,4,8,6,3]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>[[],[],[[[[]]],[]],[]]
[3,6,2,4,5,1,8,7]=>[6,3,7,5,4,8,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]
[2,6,1,4,5,3,8,7]=>[7,3,8,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[]],[]],[]]
[6,1,2,4,5,3,8,7]=>[3,8,7,5,4,6,1,2]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>[[[],[]],[[[[]],[]]]]
[5,6,3,2,1,4,8,7]=>[4,3,6,7,8,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]
[5,4,3,6,1,2,8,7]=>[4,5,6,3,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[[[[],[]]],[],[],[[]]]
[6,3,1,4,5,2,8,7]=>[3,6,8,5,4,7,1,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]
[3,1,6,4,5,2,8,7]=>[6,8,3,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[[],[]],[[]]],[[]]]
[8,3,7,4,5,1,2,6]=>[1,6,2,5,4,8,7,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>[[],[[],[[[]]]],[[]]]
[5,8,7,4,2,6,3,1]=>[4,1,2,5,7,3,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[[[],[],[]],[],[[]],[]]
[2,8,7,4,1,6,3,5]=>[7,1,2,5,8,3,6,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[[[],[],[[],[]],[]],[]]
[8,1,7,4,2,6,3,5]=>[1,8,2,5,7,3,6,4]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[[],[[],[[],[]],[[]]]]
[3,7,8,4,5,1,2,6]=>[6,2,1,5,4,8,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[[[[]],[[[]]]],[[]]]
[2,1,8,7,5,3,4,6]=>[7,8,1,2,4,6,5,3]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[[[],[],[[]],[[]]],[]]
[2,1,6,8,5,7,3,4]=>[7,8,3,1,4,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[],[[]]],[]]
[5,6,3,8,1,7,2,4]=>[4,3,6,1,8,2,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]
[7,6,1,4,5,8,3,2]=>[2,3,8,5,4,1,6,7]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[[[]],[],[[[]],[],[]]]
[3,7,6,4,5,8,2,1]=>[6,2,3,5,4,1,7,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[[[[]],[],[[]]],[],[]]
[8,5,7,4,1,6,3,2]=>[1,4,2,5,8,3,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[[],[[],[]],[],[[],[]]]
[5,1,8,4,7,6,2,3]=>[4,8,1,5,2,3,7,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[[[],[],[]],[[],[[]]]]
[2,5,8,4,7,6,1,3]=>[7,4,1,5,2,3,8,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[[[[],[],[]],[],[]],[]]
[2,4,8,3,5,6,7,1]=>[7,5,1,6,4,3,2,8]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[[[[],[[[]]]],[]],[]]
[4,1,8,3,5,6,7,2]=>[5,8,1,6,4,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[[[],[[[]]]],[[],[]]]
[3,8,4,2,5,6,7,1]=>[6,1,5,7,4,3,2,8]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[[[],[[[[]]]]],[],[]]
[8,4,1,3,5,6,7,2]=>[1,5,8,6,4,3,2,7]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[[],[[[[]]]],[[],[]]]
[7,5,8,4,3,6,1,2]=>[2,4,1,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[[]],[[]],[],[],[[]]]
[6,5,3,8,4,1,7,2]=>[3,4,6,1,5,8,2,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[],[[]],[[]]]
[2,1,5,8,4,6,7,3]=>[7,8,4,1,5,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[[[[],[[]]],[],[]],[]]
[2,1,4,8,3,6,7,5]=>[7,8,5,1,6,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[[[[],[[]],[]],[]],[]]
[6,4,3,8,2,1,7,5]=>[3,5,6,1,7,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[]],[],[],[]]
[7,3,8,4,2,6,1,5]=>[2,6,1,5,7,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[[[]],[[[],[]]],[],[]]
[8,3,1,2,5,6,7,4]=>[1,6,8,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[[],[[[[]]],[]],[[]]]
[3,1,8,2,5,6,7,4]=>[6,8,1,7,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[[[],[[[]]],[]],[[]]]
[2,3,8,1,5,6,7,4]=>[7,6,1,8,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[[[[],[[[]]],[]]],[]]
[4,3,8,2,5,6,7,1]=>[5,6,1,7,4,3,2,8]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[[[],[[[]]]],[],[],[]]
[4,8,2,3,5,6,7,1]=>[5,1,7,6,4,3,2,8]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[[[],[[[]]]],[[]],[]]
[3,8,2,1,5,6,7,4]=>[6,1,7,8,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[[[],[[[]]],[]],[],[]]
[2,8,1,3,5,6,7,4]=>[7,1,8,6,4,3,2,5]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>[[[],[[[[]]],[]]],[]]
[8,1,2,3,5,6,7,4]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[[],[[[[[[]]],[]]]]]
[7,8,2,4,3,6,1,5]=>[2,1,7,5,6,3,8,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[[[]],[[[],[]],[]],[]]
[6,8,3,2,4,1,7,5]=>[3,1,6,7,5,8,2,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[]]],[],[]]
[2,1,8,3,4,6,7,5]=>[7,8,1,6,5,3,2,4]=>[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>[[[],[[[[]],[]]]],[]]
[2,1,7,8,5,4,3,6]=>[7,8,2,1,4,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[]],[[]],[],[]],[]]
[5,7,3,8,1,4,2,6]=>[4,2,6,1,8,5,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[7,1,8,4,5,3,2,6]=>[2,8,1,5,4,6,7,3]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[[[]],[[[[]]],[],[]]]
[2,7,8,4,5,3,1,6]=>[7,2,1,5,4,6,8,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[]],[[[]]],[]],[]]
[8,7,1,4,3,6,2,5]=>[1,2,8,5,6,3,7,4]=>[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>[[],[],[[[],[]],[],[]]]
[3,8,7,4,2,6,1,5]=>[6,1,2,5,7,3,8,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[[[],[],[[],[]]],[],[]]
[5,7,8,4,3,6,2,1]=>[4,2,1,5,6,3,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[5,6,3,8,4,2,7,1]=>[4,3,6,1,5,7,2,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]
[4,8,3,6,2,1,7,5]=>[5,1,6,3,7,8,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[[[],[[]],[]],[],[],[]]
[8,6,3,1,4,2,7,5]=>[1,3,6,8,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[],[[]],[[[]]],[[]]]
[7,5,3,8,2,4,1,6]=>[2,4,6,1,7,5,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[2,4,3,1,8,5,7,6]=>[7,5,6,8,1,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[[[[],[[],[]]],[]],[]]
[4,1,3,2,6,8,7,5]=>[5,8,6,7,3,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[]],[[],[]]]
[7,5,3,6,2,8,1,4]=>[2,4,6,3,7,1,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[8,6,3,5,1,2,7,4]=>[1,3,6,4,8,7,2,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[],[[]],[[],[]],[[]]]
[5,8,3,2,6,1,7,4]=>[4,1,6,7,3,8,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[],[[]]],[[]],[],[]]
[4,5,3,8,6,2,7,1]=>[5,4,6,1,3,7,2,8]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[[[[],[[]]]],[],[],[]]
[3,5,8,4,7,6,2,1]=>[6,4,1,5,2,3,7,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]
[5,8,2,4,7,6,1,3]=>[4,1,7,5,2,3,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[],[]],[[],[]],[]]
[8,7,5,4,1,6,2,3]=>[1,2,4,5,8,3,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>[[],[],[[]],[],[[[]]]]
[2,7,6,4,5,8,1,3]=>[7,2,3,5,4,1,8,6]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[[[[]],[],[[]],[]],[]]
[7,1,6,4,5,8,2,3]=>[2,8,3,5,4,1,7,6]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[[[]],[[],[[]],[[]]]]
[5,7,3,6,1,8,2,4]=>[4,2,6,3,8,1,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[2,1,7,6,5,8,3,4]=>[7,8,2,3,4,1,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>[[[[]],[],[],[[]]],[]]
[2,1,8,5,3,6,7,4]=>[7,8,1,4,6,3,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[[[],[[[]]],[[]]],[]]
[6,8,3,5,2,1,7,4]=>[3,1,6,4,7,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[],[]],[],[]]
[7,8,5,4,2,6,1,3]=>[2,1,4,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[]],[[]],[],[[]],[]]
[8,1,4,2,5,6,7,3]=>[1,8,5,7,4,3,2,6]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[[],[[[[[]]]],[[]]]]
[2,8,4,1,5,6,7,3]=>[7,1,5,8,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>[[[],[[[[]]]],[]],[]]
[4,8,1,2,5,6,7,3]=>[5,1,8,7,4,3,2,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[[[],[[[]]]],[[[]]]]
[3,4,8,1,5,6,7,2]=>[6,5,1,8,4,3,2,7]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[[[[],[[[]]]]],[[]]]
[3,4,2,8,5,6,7,1]=>[6,5,7,1,4,3,2,8]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[[[[],[[[]]]]],[],[]]
[2,4,1,8,5,6,7,3]=>[7,5,8,1,4,3,2,6]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[[[[],[[[]]]],[]],[]]
[4,1,2,8,5,6,7,3]=>[5,8,7,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[[[],[[[]]]],[[[]]]]
[8,4,2,1,5,6,7,3]=>[1,5,7,8,4,3,2,6]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[[],[[[[]]]],[[]],[]]
[7,5,2,4,8,6,1,3]=>[2,4,7,5,1,3,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[[[]],[[]],[[],[]],[]]
[6,5,3,2,8,1,7,4]=>[3,4,6,7,1,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[],[[]],[],[]]
[2,1,5,3,8,6,7,4]=>[7,8,4,6,1,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[[[[],[[]]],[[]]],[]]
[6,4,3,5,8,1,7,2]=>[3,5,6,4,1,8,2,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]
[7,3,5,4,8,6,1,2]=>[2,6,4,5,1,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]
[8,3,4,1,5,6,7,2]=>[1,6,5,8,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[[],[[[[[]]]]],[[]]]
[4,3,1,8,5,6,7,2]=>[5,6,8,1,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[[[],[[[]]]],[],[[]]]
[3,1,4,8,5,6,7,2]=>[6,8,5,1,4,3,2,7]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[[[[],[[[]]]]],[[]]]
[6,5,3,7,2,8,4,1]=>[3,4,6,2,7,1,5,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[6,3,7,4,5,8,2,1]=>[3,6,2,5,4,1,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]
[6,7,2,4,5,8,3,1]=>[3,2,7,5,4,1,6,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]
[5,1,7,4,8,6,3,2]=>[4,8,2,5,1,3,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[[[[]],[]],[[],[],[]]]
[2,5,7,4,8,6,3,1]=>[7,4,2,5,1,3,6,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[5,6,3,7,1,8,4,2]=>[4,3,6,2,8,1,5,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[3,8,7,4,5,2,1,6]=>[6,1,2,5,4,7,8,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[[[],[],[[[]]]],[],[]]
[3,7,5,4,8,6,2,1]=>[6,2,4,5,1,3,7,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]
[5,7,1,4,8,6,2,3]=>[4,2,8,5,1,3,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[[[[]],[]],[[],[[]]]]
[5,6,3,1,8,2,7,4]=>[4,3,6,8,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]
[4,6,3,5,8,2,7,1]=>[5,3,6,4,1,7,2,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]
[4,6,3,8,1,2,7,5]=>[5,3,6,1,8,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[[[[],[]],[]],[],[[]]]
[3,7,8,4,1,6,2,5]=>[6,2,1,5,8,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[[[[]],[[],[]]],[[]]]
[3,2,5,1,6,8,4,7]=>[6,7,4,8,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[3,6,2,5,4,8,1,7]=>[6,3,7,4,5,1,8,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]
[3,5,2,4,7,1,8,6]=>[6,4,7,5,2,8,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[3,5,8,2,4,7,6,1]=>[6,4,1,7,5,2,3,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]
[4,2,5,8,3,7,6,1]=>[5,7,4,1,6,2,3,8]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[],[],[]]],[[]],[]]
[4,2,6,5,3,8,1,7]=>[5,7,3,4,6,1,8,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]
[5,4,2,1,6,8,3,7]=>[4,5,7,8,3,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[[[[],[]]],[],[[]],[]]
[6,3,5,1,4,8,2,7]=>[3,6,4,8,5,1,7,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[],[]],[[]]]
[4,6,1,5,3,8,2,7]=>[5,3,8,4,6,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[]],[[],[]]]
[5,1,6,4,3,8,2,7]=>[4,8,3,5,6,1,7,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[[[[],[]]],[[],[],[]]]
[5,4,3,2,7,1,8,6]=>[4,5,6,7,2,8,1,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[5,4,3,8,2,7,6,1]=>[4,5,6,1,7,2,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[[[],[],[]],[],[],[],[]]
[4,3,6,2,8,7,5,1]=>[5,6,3,7,1,2,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]
[4,3,7,6,2,1,8,5]=>[5,6,2,3,7,8,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[6,4,3,1,7,2,8,5]=>[3,5,6,8,2,7,1,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[7,5,4,3,1,8,2,6]=>[2,4,5,6,8,1,7,3]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[[]],[[]],[],[],[[]]]
[1,4,7,5,8,3,2,6]=>[8,5,2,4,1,6,7,3]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>[[[[[]],[[]]],[],[]]]
[7,2,5,8,4,1,3,6]=>[2,7,4,1,5,8,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>[[[]],[[[]],[],[]],[]]
[2,8,5,7,4,6,1,3]=>[7,1,4,2,5,3,8,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[[[],[[],[]],[],[]],[]]
[3,5,8,7,1,4,6,2]=>[6,4,1,2,8,5,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[],[]],[]],[[]]]
[1,4,5,8,7,3,6,2]=>[8,5,4,1,2,6,3,7]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[[[[[],[],[]]],[],[]]]
[1,5,4,8,7,3,6,2]=>[8,4,5,1,2,6,3,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>[[[[],[],[]],[],[],[]]]
[6,4,3,8,1,7,5,2]=>[3,5,6,1,8,2,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]
[4,3,7,1,8,6,5,2]=>[5,6,2,8,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[[[[]],[],[]],[],[[]]]
[4,8,3,7,6,5,2,1]=>[5,1,6,2,3,4,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[[[],[],[],[]],[],[],[]]
[5,3,8,7,6,4,2,1]=>[4,6,1,2,3,5,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[],[]],[[]],[],[]]
[7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[[]],[[]],[[]],[[]]]
[1,8,6,5,3,7,4,2]=>[8,1,3,4,6,2,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[[[],[[]],[],[[]],[]]]
[1,5,8,6,3,7,4,2]=>[8,4,1,3,6,2,5,7]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>[[[[],[[]]],[[]],[]]]
[4,6,1,8,7,3,5,2]=>[5,3,8,1,2,6,4,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[]],[[],[]]]
[6,8,7,3,1,4,5,2]=>[3,1,2,6,8,5,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]
[6,2,8,7,4,5,1,3]=>[3,7,1,2,5,4,8,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[]],[]],[]]
[7,6,2,8,4,1,3,5]=>[2,3,7,1,5,8,6,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>[[[]],[],[[[]],[]],[]]
[7,3,1,6,8,4,2,5]=>[2,6,8,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[[]],[[],[[]]],[[]]]
[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>[[[[]],[],[[]],[],[]]]
[5,7,1,6,3,2,8,4]=>[4,2,8,3,6,7,1,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[[[[]],[]],[[[]],[]]]
[6,1,7,5,3,2,8,4]=>[3,8,2,4,6,7,1,5]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[[[[]]],[[],[[]],[]]]
[7,6,5,3,2,1,8,4]=>[2,3,4,6,7,8,1,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[[]],[],[],[[]],[],[]]
[6,5,3,2,8,7,4,1]=>[3,4,6,7,1,2,5,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[],[[]],[],[]]
[5,2,6,3,8,7,4,1]=>[4,7,3,6,1,2,5,8]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[]]],[[[]]],[]]
[5,2,7,6,3,1,8,4]=>[4,7,2,3,6,8,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[]],[]],[[[]]],[]]
[6,5,2,1,7,3,8,4]=>[3,4,7,8,2,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[]]],[],[[[]]],[]]
[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[]],[]],[[],[]],[]]
[4,7,2,6,3,1,8,5]=>[5,2,7,3,6,8,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]
[2,4,8,6,3,7,5,1]=>[7,5,1,3,6,2,4,8]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[[[[],[[]],[]],[]],[]]
[3,8,6,2,4,7,5,1]=>[6,1,3,7,5,2,4,8]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[[[],[[]],[[]]],[],[]]
[7,3,6,2,4,1,8,5]=>[2,6,3,7,5,8,1,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[[[]],[[],[[]]],[],[]]
[3,6,7,2,1,4,8,5]=>[6,3,2,7,8,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[4,3,7,8,2,1,5,6]=>[5,6,2,1,7,8,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]
[8,3,7,1,4,6,2,5]=>[1,6,2,8,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[[],[[],[[],[]]],[[]]]
[3,8,2,5,7,1,6,4]=>[6,1,7,4,2,8,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[[[],[[],[]],[]],[],[]]
[7,8,3,6,2,1,5,4]=>[2,1,6,3,7,8,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[]],[[],[],[]],[],[]]
[8,7,3,6,2,5,4,1]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[],[],[[],[],[]],[],[]]
[4,7,8,2,1,6,5,3]=>[5,2,1,7,8,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]
[4,2,6,8,1,7,5,3]=>[5,7,3,1,8,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]
[5,4,8,2,7,1,6,3]=>[4,5,1,7,2,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[[[],[],[]],[],[[]],[]]
[4,8,1,5,7,2,6,3]=>[5,1,8,4,2,7,3,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[[[],[[],[]]],[[[]]]]
[5,8,3,7,1,6,2,4]=>[4,1,6,2,8,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[],[]],[[]],[[]]]
[5,8,7,2,6,1,3,4]=>[4,1,2,7,3,8,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[],[]],[[[]]],[]]
[8,6,2,7,5,1,3,4]=>[1,3,7,2,4,8,6,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[[],[[]],[[],[[]]],[]]
[3,6,8,1,7,5,2,4]=>[6,3,1,8,2,4,7,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]
[5,1,6,8,2,7,4,3]=>[4,8,3,1,7,2,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[[[[],[]]],[[[],[]]]]
[6,5,2,8,1,7,4,3]=>[3,4,7,1,8,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[],[[],[]],[]]
[5,2,7,1,8,6,4,3]=>[4,7,2,8,1,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[]],[]],[[],[]],[]]
[5,8,2,7,6,4,3,1]=>[4,1,7,2,3,5,6,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[],[]],[[],[]],[]]
[6,2,8,7,5,4,3,1]=>[3,7,1,2,4,5,6,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[],[],[]],[]]
[7,6,2,1,8,5,4,3]=>[2,3,7,8,1,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>[[[]],[],[[],[],[]],[]]
[6,1,7,2,8,5,4,3]=>[3,8,2,7,1,4,5,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[[[[]]],[[[],[],[]]]]
[7,5,1,8,2,6,4,3]=>[2,4,8,1,7,3,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[[[]],[[]],[[[],[]]]]
[4,7,1,8,6,2,5,3]=>[5,2,8,1,3,7,4,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[]],[],[]],[[[]]]]
[7,8,3,1,6,5,2,4]=>[2,1,6,8,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[[[]],[[],[],[]],[[]]]
[8,7,4,6,1,5,3,2]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[[],[],[[],[]],[[],[]]]
[8,5,7,1,6,4,3,2]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[[],[[],[]],[[],[],[]]]
[6,8,1,7,5,4,3,2]=>[3,1,8,2,4,5,6,7]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>[[[],[]],[[],[],[],[]]]
[7,1,8,6,5,4,3,2]=>[2,8,1,3,4,5,6,7]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[[[]],[[],[],[],[],[]]]
[5,4,2,3,7,6,1,8]=>[4,5,7,6,2,3,8,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]
[6,4,2,7,3,5,1,8]=>[3,5,7,2,6,4,8,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[7,4,2,6,3,5,1,8]=>[2,5,7,3,6,4,8,1]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[]],[[],[]],[[]],[]]
[8,4,2,6,3,1,5,7]=>[1,5,7,3,6,8,4,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[],[[[]],[]],[[]],[]]
[3,2,7,6,4,5,1,8]=>[6,7,2,3,5,4,8,1]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[[[[]],[],[[]]],[],[]]
[4,7,2,6,3,5,1,8]=>[5,2,7,3,6,4,8,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]
[5,7,6,2,3,4,1,8]=>[4,2,3,7,6,5,8,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[]],[]],[[[]]],[]]
[1,6,5,2,3,8,4,7]=>[8,3,4,7,6,1,5,2]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>[[[[],[]],[],[[[]]]]]
[1,7,5,2,8,3,4,6]=>[8,2,4,7,1,6,5,3]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>[[[[]],[[]],[[[]]]]]
[6,8,5,2,3,1,4,7]=>[3,1,4,7,6,8,5,2]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[],[[[]]],[]]
[5,8,6,2,3,1,4,7]=>[4,1,3,7,6,8,5,2]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[[[],[[]]],[[[]]],[]]
[4,8,2,6,3,1,5,7]=>[5,1,7,3,6,8,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[],[[]],[]],[[]],[]]
[3,2,8,6,4,1,5,7]=>[6,7,1,3,5,8,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[[[],[[]],[[]]],[],[]]
[3,2,1,6,4,8,5,7]=>[6,7,8,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]
[7,1,5,2,8,3,4,6]=>[2,8,4,7,1,6,5,3]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[[[]],[[[]],[[[]]]]]
[1,8,5,2,7,3,4,6]=>[8,1,4,7,2,6,5,3]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[[[],[[],[]],[[[]]]]]
[1,8,6,7,2,3,4,5]=>[8,1,3,2,7,6,5,4]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[[[],[[]],[[[[]]]]]]
[8,1,6,7,2,3,4,5]=>[1,8,3,2,7,6,5,4]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[[],[[[]],[[[[]]]]]]
[7,1,6,8,2,3,4,5]=>[2,8,3,1,7,6,5,4]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[[[]],[[],[[[[]]]]]]
[3,2,1,7,8,4,5,6]=>[6,7,8,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[[[[]],[[[]]]],[],[]]
[3,2,8,7,1,4,5,6]=>[6,7,1,2,8,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[[[],[],[[[]]]],[],[]]
[5,8,7,2,1,3,4,6]=>[4,1,2,7,8,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[],[]],[[[]]],[]]
[1,7,6,8,2,3,4,5]=>[8,2,3,1,7,6,5,4]=>[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[[[[]],[],[[[[]]]]]]
[6,5,8,2,3,1,4,7]=>[3,4,1,7,6,8,5,2]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[],[[[]]],[]]
[8,5,7,2,1,3,4,6]=>[1,4,2,7,8,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[],[[],[]],[[[]]],[]]
[6,4,2,8,3,1,5,7]=>[3,5,7,1,6,8,4,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[]],[[]],[]]
[5,4,2,3,8,1,6,7]=>[4,5,7,6,1,8,3,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[[[],[[]]],[],[[]],[]]
[3,2,5,4,1,8,6,7]=>[6,7,4,5,8,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[[[[],[[]]],[]],[],[]]
[4,5,2,3,1,8,6,7]=>[5,4,7,6,8,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>[[[[],[[]]]],[[]],[]]
[5,4,2,3,1,8,6,7]=>[4,5,7,6,8,1,3,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[[[],[[]]],[],[[]],[]]
[6,4,2,1,3,8,5,7]=>[3,5,7,8,6,1,4,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[]],[[]],[]]
[7,4,2,1,8,3,5,6]=>[2,5,7,8,1,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[8,4,2,1,7,3,5,6]=>[1,5,7,8,2,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[],[[],[[]]],[[]],[]]
[1,4,2,8,7,3,5,6]=>[8,5,7,1,2,6,4,3]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>[[[[],[],[[]]],[[]]]]
[1,5,8,2,7,3,4,6]=>[8,4,1,7,2,6,5,3]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>[[[[],[],[]],[[[]]]]]
[8,5,1,2,7,3,4,6]=>[1,4,8,7,2,6,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[[],[[],[]],[[[[]]]]]
[7,5,1,2,8,3,4,6]=>[2,4,8,7,1,6,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[[[]],[[]],[[[[]]]]]
[6,5,1,2,3,8,4,7]=>[3,4,8,7,6,1,5,2]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[],[]],[],[[[[]]]]]
[4,6,2,1,3,8,5,7]=>[5,3,7,8,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]
[3,2,6,1,4,8,5,7]=>[6,7,3,8,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]
[3,2,7,1,8,4,5,6]=>[6,7,2,8,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[[[[]],[[[]]]],[],[]]
[4,7,2,1,8,3,5,6]=>[5,2,7,8,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[]],[[]]],[[]],[]]
[7,6,1,8,2,3,4,5]=>[2,3,8,1,7,6,5,4]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[[[]],[],[[[[[]]]]]]
[8,6,1,7,2,3,4,5]=>[1,3,8,2,7,6,5,4]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[[],[[]],[[[[[]]]]]]
[1,6,8,7,2,3,4,5]=>[8,3,1,2,7,6,5,4]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[[[[],[]],[[[[]]]]]]
[1,7,8,6,2,3,4,5]=>[8,2,1,3,7,6,5,4]=>[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[[[[]],[],[[[[]]]]]]
[7,8,1,6,2,3,4,5]=>[2,1,8,3,7,6,5,4]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[[[]],[[],[[[[]]]]]]
[6,8,1,7,2,3,4,5]=>[3,1,8,2,7,6,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[[[],[]],[[[[[]]]]]]
[4,8,2,1,7,3,5,6]=>[5,1,7,8,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[[[],[],[[]]],[[]],[]]
[3,2,8,1,7,4,5,6]=>[6,7,1,8,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[[[],[],[[[]]]],[],[]]
[3,2,1,8,7,4,5,6]=>[6,7,8,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[[[],[],[[[]]]],[],[]]
[5,1,8,2,7,3,4,6]=>[4,8,1,7,2,6,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[],[],[]],[[[[]]]]]
[6,1,8,7,2,3,4,5]=>[3,8,1,2,7,6,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[[[],[]],[[[[[]]]]]]
[8,1,7,6,2,3,4,5]=>[1,8,2,3,7,6,5,4]=>[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[[],[[],[],[[[[]]]]]]
[1,8,7,6,2,3,4,5]=>[8,1,2,3,7,6,5,4]=>[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[[[],[],[],[[[[]]]]]]
[6,3,5,1,2,4,8,7]=>[3,6,4,8,7,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[],[]],[[]]]
[4,3,5,6,1,2,8,7]=>[5,6,4,3,8,7,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[[[[[],[]]]],[],[[]]]
[8,3,7,5,2,1,4,6]=>[1,6,2,4,7,8,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[],[[],[[]],[]],[],[]]
[6,3,7,5,1,8,4,2]=>[3,6,2,4,8,1,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]
[6,5,2,7,1,8,3,4]=>[3,4,7,2,8,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[]]],[],[[[]]],[]]
[8,5,2,7,4,1,3,6]=>[1,4,7,2,5,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[],[[],[]],[[],[]],[]]
[2,6,1,5,4,3,8,7]=>[7,3,8,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[],[],[]],[]]
[6,4,3,5,1,2,8,7]=>[3,5,6,4,8,7,1,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]
[5,3,1,4,6,2,8,7]=>[4,6,8,5,3,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]
[3,1,4,6,5,2,8,7]=>[6,8,5,3,4,7,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[[[],[]],[]]],[[]]]
[5,7,4,6,2,8,3,1]=>[4,2,5,3,7,1,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]
[8,1,4,7,2,6,3,5]=>[1,8,5,2,7,3,6,4]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[[],[[[],[],[]],[[]]]]
[3,4,7,8,5,2,1,6]=>[6,5,2,1,4,7,8,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[[[[[]],[[]]]],[],[]]
[2,1,8,5,7,3,4,6]=>[7,8,1,4,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[],[]],[[]]],[]]
[8,6,3,5,1,7,4,2]=>[1,3,6,4,8,2,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[],[[]],[[],[]],[[]]]
[5,8,2,4,6,7,3,1]=>[4,1,7,5,3,2,6,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[[[],[[]]],[[],[]],[]]
[3,4,8,6,5,7,1,2]=>[6,5,1,3,4,2,8,7]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[[[[],[[]],[]]],[[]]]
[7,5,4,8,1,6,3,2]=>[2,4,5,1,8,3,6,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>[[[]],[[]],[],[[],[]]]
[5,1,4,6,8,2,7,3]=>[4,8,5,3,1,7,2,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[[[[],[]]],[[],[[]]]]
[2,5,4,6,7,1,8,3]=>[7,4,5,3,2,8,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]
[2,4,6,3,7,5,8,1]=>[7,5,3,6,2,4,1,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]
[4,1,6,3,8,5,7,2]=>[5,8,3,6,1,4,2,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[]],[[],[]]]
[3,7,4,2,8,6,5,1]=>[6,2,5,7,1,3,4,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[[[[]],[[],[]]],[],[]]
[7,4,1,3,5,8,6,2]=>[2,5,8,6,4,1,3,7]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[[[]],[[[]]],[[],[]]]
[6,5,8,4,1,7,3,2]=>[3,4,1,5,8,2,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[[[],[]],[],[],[[],[]]]
[8,5,3,7,4,1,6,2]=>[1,4,6,2,5,8,3,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[],[[],[]],[[]],[[]]]
[2,1,4,8,3,7,6,5]=>[7,8,5,1,6,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[],[],[],[]],[]],[]]
[7,4,3,8,2,1,6,5]=>[2,5,6,1,7,8,3,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[]],[[],[]],[],[],[]]
[6,3,7,4,1,8,2,5]=>[3,6,2,5,8,1,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[8,3,1,2,5,7,6,4]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[],[[[],[]],[]],[[]]]
[3,1,8,2,7,6,5,4]=>[6,8,1,7,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[[[],[],[],[],[]],[[]]]
[2,3,8,1,6,7,5,4]=>[7,6,1,8,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>[[[[],[[]],[],[]]],[]]
[4,3,7,2,6,8,5,1]=>[5,6,2,7,3,1,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]
[4,7,2,3,8,5,6,1]=>[5,2,7,6,1,4,3,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[]],[[]]],[[]],[]]
[3,8,2,1,7,5,6,4]=>[6,1,7,8,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[[[],[],[[]],[]],[],[]]
[2,8,1,3,6,5,7,4]=>[7,1,8,6,3,4,2,5]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>[[[],[[[]],[],[]]],[]]
[2,7,8,5,4,3,1,6]=>[7,2,1,4,5,6,8,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[]],[[]],[],[]],[]]
[8,7,1,6,3,4,2,5]=>[1,2,8,3,6,5,7,4]=>[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>[[],[],[[],[[[]]],[]]]
[3,8,6,7,2,4,1,5]=>[6,1,3,2,7,5,8,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[[[],[[]],[[]]],[],[]]
[5,3,8,7,4,2,6,1]=>[4,6,1,2,5,7,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[],[]],[[]],[],[]]
[4,3,8,7,2,1,6,5]=>[5,6,1,2,7,8,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[[[],[],[],[]],[],[],[]]
[8,3,6,1,4,2,7,5]=>[1,6,3,8,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[[],[[[]],[[]]],[[]]]
[7,3,5,8,2,4,1,6]=>[2,6,4,1,7,5,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[]],[],[]]
[2,3,4,1,8,5,7,6]=>[7,6,5,8,1,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[[[[[],[[],[]]]]],[]]
[4,1,3,2,6,7,8,5]=>[5,8,6,7,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[[[[]]],[]],[[],[]]]
[8,3,5,6,2,7,1,4]=>[1,6,4,3,7,2,8,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[[],[[[[]]],[]],[],[]]
[5,3,6,1,8,7,2,4]=>[4,6,3,8,1,2,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]
[5,6,2,8,7,4,1,3]=>[4,3,7,1,2,5,8,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[[],[]]],[[],[]],[]]
[7,8,5,6,1,4,2,3]=>[2,1,4,3,8,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[[[]],[[]],[[],[[]]]]
[2,8,6,5,4,7,1,3]=>[7,1,3,4,5,2,8,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[[[],[[]],[],[],[]],[]]
[8,1,6,4,5,7,2,3]=>[1,8,3,5,4,2,7,6]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[[],[[[]],[[]],[[]]]]
[5,8,3,6,1,7,2,4]=>[4,1,6,3,8,2,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[[]]],[[]],[[]]]
[2,1,8,6,5,7,3,4]=>[7,8,1,3,4,2,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[[[],[[]],[],[[]]],[]]
[2,1,7,5,3,6,8,4]=>[7,8,2,4,6,3,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[[[[]],[[]],[[]]],[]]
[6,7,3,5,2,1,8,4]=>[3,2,6,4,7,8,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]
[7,1,4,2,5,6,8,3]=>[2,8,5,7,4,3,1,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[[[]],[[[[]]],[[]]]]
[2,7,4,1,6,5,8,3]=>[7,2,5,8,3,4,1,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[[[[]],[[],[]],[]],[]]
[4,6,1,2,8,7,3,5]=>[5,3,8,7,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[2,4,1,5,8,7,6,3]=>[7,5,8,4,1,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[[[[[],[],[]]],[]],[]]
[4,1,2,5,8,6,7,3]=>[5,8,7,4,1,3,2,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[[[[],[[]]]],[[[]]]]
[6,4,2,1,5,8,7,3]=>[3,5,7,8,4,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[]],[[]],[]]
[8,5,2,4,6,1,7,3]=>[1,4,7,5,3,8,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[[],[[[]]],[[],[]],[]]
[7,5,3,2,6,8,1,4]=>[2,4,6,7,3,1,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[2,1,5,3,6,8,7,4]=>[7,8,4,6,3,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[[[],[]]],[[]]],[]]
[7,3,5,4,6,1,8,2]=>[2,6,4,5,3,8,1,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]
[6,3,4,1,5,7,8,2]=>[3,6,5,8,4,2,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[4,3,1,5,7,6,8,2]=>[5,6,8,4,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[[[[[]],[]]],[],[[]]]
[3,1,4,5,6,8,7,2]=>[6,8,5,4,3,1,2,7]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[[[[[[],[]]]]],[[]]]
[4,5,2,6,3,1,8,7]=>[5,4,7,3,6,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[[[],[]]]],[[]],[]]
[6,5,2,1,4,3,8,7]=>[3,4,7,8,5,6,1,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[],[[],[]],[]]
[6,5,2,7,4,8,3,1]=>[3,4,7,2,5,1,6,8]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[[[[]]],[],[[],[]],[]]
[8,5,2,7,4,1,6,3]=>[1,4,7,2,5,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[],[[],[]],[[],[]],[]]
[8,3,7,5,2,1,6,4]=>[1,6,2,4,7,8,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[],[[],[[]],[]],[],[]]
[6,3,7,5,2,8,4,1]=>[3,6,2,4,7,1,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]
[3,1,6,5,4,2,8,7]=>[6,8,3,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]
[5,6,3,2,4,1,8,7]=>[4,3,6,7,5,8,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]
[3,6,2,4,1,5,8,7]=>[6,3,7,5,8,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]
[2,6,1,3,5,4,8,7]=>[7,3,8,6,4,5,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[],[]]],[]]
[6,7,2,3,4,8,5,1]=>[3,2,7,6,5,1,4,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[[[]]],[[[[]]]],[]]
[8,7,2,3,4,1,6,5]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>[[],[],[[[[],[]]]],[]]
[5,1,7,3,8,4,6,2]=>[4,8,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[[[[]],[]],[[[]],[]]]
[2,5,7,3,8,6,4,1]=>[7,4,2,6,1,3,5,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]
[7,6,1,3,5,8,4,2]=>[2,3,8,6,4,1,5,7]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>[[[]],[],[[[],[]],[]]]
[3,6,7,4,1,8,5,2]=>[6,3,2,5,8,1,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[[[[]]],[[]]],[[]]]
[5,6,3,7,4,8,1,2]=>[4,3,6,2,5,1,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[2,1,6,7,4,8,5,3]=>[7,8,3,2,5,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[2,1,8,7,4,3,6,5]=>[7,8,1,2,5,6,3,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[[[],[],[[],[]],[]],[]]
[5,8,3,7,4,2,6,1]=>[4,1,6,2,5,7,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[],[]],[[]],[],[]]
[3,8,7,4,1,2,6,5]=>[6,1,2,5,8,7,3,4]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>[[[],[],[[],[]]],[[]]]
[7,8,1,3,5,2,6,4]=>[2,1,8,6,4,7,3,5]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[[[]],[[[[]],[]],[]]]
[5,8,7,3,2,6,1,4]=>[4,1,2,6,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[],[]],[[]],[],[]]
[2,8,6,3,1,5,7,4]=>[7,1,3,6,8,4,2,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>[[[],[[]],[[],[]]],[]]
[8,1,6,3,2,5,4,7]=>[1,8,3,6,7,4,5,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[[],[[[]],[[],[]],[]]]
[2,8,4,1,6,3,7,5]=>[7,1,5,8,3,6,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[[]],[]],[]],[]]
[4,8,1,2,7,6,3,5]=>[5,1,8,7,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[[[],[],[],[]],[[[]]]]
[3,8,4,2,5,7,1,6]=>[6,1,5,7,4,2,8,3]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>[[[],[[[],[]]]],[],[]]
[6,8,3,5,2,7,4,1]=>[3,1,6,4,7,2,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[],[]],[],[]]
[2,1,5,3,8,7,6,4]=>[7,8,4,6,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[],[]],[[]]],[]]
[6,5,3,2,8,7,1,4]=>[3,4,6,7,1,2,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[],[[]],[],[]]
[7,5,2,4,8,1,6,3]=>[2,4,7,5,1,8,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[[[]],[[]],[[],[]],[]]
[3,4,2,8,5,7,6,1]=>[6,5,7,1,4,2,3,8]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[[[[],[[],[]]]],[],[]]
[2,4,1,8,7,6,5,3]=>[7,5,8,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[],[],[],[]],[]],[]]
[8,4,2,1,7,5,3,6]=>[1,5,7,8,2,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[],[[],[[]]],[[]],[]]
[4,3,1,8,6,7,5,2]=>[5,6,8,1,3,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[[[],[[]],[]],[],[[]]]
[3,1,4,8,6,5,7,2]=>[6,8,5,1,3,4,2,7]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[[[[],[[]],[]]],[[]]]
[7,1,6,5,4,8,2,3]=>[2,8,3,4,5,1,7,6]=>[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>[[[]],[[],[],[],[[]]]]
[3,7,5,6,8,4,2,1]=>[6,2,4,3,1,5,7,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]
[5,7,1,6,8,2,4,3]=>[4,2,8,3,1,7,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[[[[]],[]],[[[],[]]]]
[8,6,2,5,1,7,4,3]=>[1,3,7,4,8,2,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[],[[]],[[],[],[]],[]]
[5,6,2,1,8,7,3,4]=>[4,3,7,8,1,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[]]],[[[]]],[]]
[4,6,2,5,8,3,7,1]=>[5,3,7,4,1,6,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]
[7,5,2,6,3,8,1,4]=>[2,4,7,3,6,1,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[[]],[[]],[[[]]],[]]
[4,1,2,3,6,8,7,5]=>[5,8,7,6,3,1,2,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[2,4,3,1,8,5,6,7]=>[7,5,6,8,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[[[[],[[[]]]],[]],[]]
[7,5,2,8,3,4,6,1]=>[2,4,7,1,6,5,3,8]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[[]],[[]],[[[]]],[]]
[5,6,2,8,4,3,1,7]=>[4,3,7,1,5,6,8,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[[],[]]],[[],[]],[]]
[4,7,2,8,1,5,3,6]=>[5,2,7,1,8,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[]],[[]]],[[]],[]]
[8,7,2,1,4,5,6,3]=>[1,2,7,8,5,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>[[],[],[[[[]]],[]],[]]
[3,6,8,7,1,5,4,2]=>[6,3,1,2,8,4,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]
[5,7,8,6,3,4,1,2]=>[4,2,1,3,6,5,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[7,1,8,5,4,3,6,2]=>[2,8,1,4,5,6,3,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>[[[]],[[[]],[],[],[]]]
[2,7,8,4,5,3,6,1]=>[7,2,1,5,4,6,3,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[]],[[[]]],[]],[]]
[5,7,3,8,1,4,6,2]=>[4,2,6,1,8,5,3,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[2,1,7,8,5,4,6,3]=>[7,8,2,1,4,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[]],[[]],[],[]],[]]
[2,1,5,8,4,6,3,7]=>[7,8,4,1,5,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[[[[],[[]]],[],[]],[]]
[6,5,3,8,4,1,2,7]=>[3,4,6,1,5,8,7,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[],[[]],[[]]]
[7,5,8,4,3,6,2,1]=>[2,4,1,5,6,3,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[[]],[[]],[],[],[],[]]
[2,4,8,3,5,6,1,7]=>[7,5,1,6,4,3,8,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[[[[],[[[]]]],[]],[]]
[4,1,8,3,6,5,2,7]=>[5,8,1,6,3,4,7,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[[[],[[]],[]],[[],[]]]
[3,4,8,1,7,2,5,6]=>[6,5,1,8,2,7,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[[[[],[],[[]]]],[[]]]
[8,4,1,3,7,2,6,5]=>[1,5,8,6,2,7,3,4]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[[],[[],[],[]],[[],[]]]
[3,1,8,2,4,7,6,5]=>[6,8,1,7,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[[[],[[],[],[]]],[[]]]
[2,3,8,1,4,6,7,5]=>[7,6,1,8,5,3,2,4]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>[[[[],[[[]],[]]]],[]]
[4,3,8,2,5,1,7,6]=>[5,6,1,7,4,8,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[[[],[[],[]]],[],[],[]]
[6,3,8,4,2,5,7,1]=>[3,6,1,5,7,4,2,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[]]],[],[]]
[7,4,3,8,2,5,1,6]=>[2,5,6,1,7,4,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[2,1,4,8,3,5,7,6]=>[7,8,5,1,6,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[[[[],[[],[]]],[]],[]]
[6,8,2,4,3,5,1,7]=>[3,1,7,5,6,4,8,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[]],[]],[]]
[4,8,2,3,5,1,6,7]=>[5,1,7,6,4,8,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[[[],[[[]]]],[[]],[]]
[3,8,2,1,4,6,5,7]=>[6,1,7,8,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[[[],[[[]],[]]],[],[]]
[2,8,1,3,4,5,7,6]=>[7,1,8,6,5,4,2,3]=>[[.,[[[[.,[.,.]],.],.],.]],[.,.]]=>[[[],[[[[],[]]]]],[]]
[2,8,4,1,6,5,3,7]=>[7,1,5,8,3,4,6,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[[]],[]],[]],[]]
[2,8,4,1,6,5,7,3]=>[7,1,5,8,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[[]],[]],[]],[]]
[2,8,7,6,1,4,3,5]=>[7,1,2,3,8,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>[[[],[],[],[[]],[]],[]]
[2,8,5,6,7,4,3,1]=>[7,1,4,3,2,5,6,8]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[[[],[[[]]],[],[]],[]]
[7,5,8,6,1,4,2,3]=>[2,4,1,3,8,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[[[]],[[]],[[],[[]]]]
[3,5,7,6,1,4,2,8]=>[6,4,2,3,8,5,7,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[[[[]],[]],[]],[[]]]
[3,5,7,2,4,1,6,8]=>[6,4,2,7,5,8,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[7,5,8,2,4,1,6,3]=>[2,4,1,7,5,8,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[[[]],[[]],[[],[]],[]]
[2,8,5,3,4,7,6,1]=>[7,1,4,6,5,2,3,8]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[],[]],[[]]],[]]
[2,8,5,3,4,1,7,6]=>[7,1,4,6,5,8,2,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[],[]],[[]]],[]]
[2,8,5,3,4,1,6,7]=>[7,1,4,6,5,8,3,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[[[],[[[]]],[[]]],[]]
[2,8,7,6,1,4,5,3]=>[7,1,2,3,8,5,4,6]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>[[[],[],[],[[]],[]],[]]
[2,8,5,3,6,1,7,4]=>[7,1,4,6,3,8,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[[[],[[[]]],[[]]],[]]
[2,8,5,6,7,4,1,3]=>[7,1,4,3,2,5,8,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[[[],[[[]]],[],[]],[]]
[2,8,5,3,4,7,1,6]=>[7,1,4,6,5,2,8,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[],[]],[[]]],[]]
[2,8,5,3,4,6,1,7]=>[7,1,4,6,5,3,8,2]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[[[],[[[]]],[[]]],[]]
[2,8,5,3,4,6,7,1]=>[7,1,4,6,5,3,2,8]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[[[],[[[]]],[[]]],[]]
[3,5,7,2,4,6,1,8]=>[6,4,2,7,5,3,8,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[6,5,2,7,3,1,4,8]=>[3,4,7,2,6,8,5,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[]]],[],[[[]]],[]]
[6,5,2,8,3,1,7,4]=>[3,4,7,1,6,8,2,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[],[[[]]],[]]
[6,5,2,8,3,1,4,7]=>[3,4,7,1,6,8,5,2]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[],[[[]]],[]]
[7,5,8,2,4,6,3,1]=>[2,4,1,7,5,3,6,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[[[]],[[]],[[],[]],[]]
[7,5,8,6,1,4,3,2]=>[2,4,1,3,8,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[[[]],[[]],[[],[],[]]]
[6,5,8,2,1,3,7,4]=>[3,4,1,7,8,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[],[[[]]],[]]
[3,5,6,2,1,8,7,4]=>[6,4,3,7,8,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[3,5,7,6,1,4,8,2]=>[6,4,2,3,8,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[[[[]],[]],[]],[[]]]
[3,5,7,2,4,1,8,6]=>[6,4,2,7,5,8,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[3,5,7,2,4,6,8,1]=>[6,4,2,7,5,3,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]
[6,5,2,7,3,1,8,4]=>[3,4,7,2,6,8,1,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[]]],[],[[[]]],[]]
[4,5,2,6,3,1,7,8]=>[5,4,7,3,6,8,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[4,1,2,3,7,6,8,5]=>[5,8,7,6,2,3,1,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[]],[],[]],[[[]]]]
[6,5,2,7,3,4,8,1]=>[3,4,7,2,6,5,1,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[]]],[],[[[]]],[]]
[5,1,6,7,4,3,8,2]=>[4,8,3,2,5,6,1,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[[[[[]]]],[[],[],[]]]
[5,1,2,6,4,8,7,3]=>[4,8,7,3,5,1,2,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[[[[],[]]],[[[],[]]]]
[5,1,2,8,6,4,7,3]=>[4,8,7,1,3,5,2,6]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>[[[],[[]]],[[[],[]]]]
[5,1,6,8,7,3,4,2]=>[4,8,3,1,2,6,5,7]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[[[[],[]]],[[[]],[]]]
[6,5,2,8,3,7,4,1]=>[3,4,7,1,6,2,5,8]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[],[[[]]],[]]
[4,1,2,3,8,7,5,6]=>[5,8,7,6,1,2,4,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[[[],[],[[]]],[[[]]]]
[4,1,2,3,8,6,5,7]=>[5,8,7,6,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[[[],[[]],[]],[[[]]]]
[4,1,2,3,8,6,7,5]=>[5,8,7,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[[[],[[]],[]],[[[]]]]
[4,1,2,3,7,6,5,8]=>[5,8,7,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[]],[],[]],[[[]]]]
[4,1,2,3,8,5,7,6]=>[5,8,7,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[[[],[[],[]]],[[[]]]]
[7,1,6,8,4,3,5,2]=>[2,8,3,1,5,6,4,7]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>[[[]],[[],[[]],[],[]]]
[6,1,2,8,4,5,7,3]=>[3,8,7,1,5,4,2,6]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>[[[],[]],[[[[]],[]]]]
[5,6,8,2,3,1,7,4]=>[4,3,1,7,6,8,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[]]],[[[]]],[]]
[6,5,8,2,4,3,1,7]=>[3,4,1,7,5,6,8,2]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[],[[],[]],[]]
[6,5,8,2,4,3,7,1]=>[3,4,1,7,5,6,2,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[],[[],[]],[]]
[7,5,2,8,3,4,1,6]=>[2,4,7,1,6,5,8,3]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[[]],[[]],[[[]]],[]]
[6,5,2,8,3,7,1,4]=>[3,4,7,1,6,2,8,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[],[[[]]],[]]
[6,5,2,7,3,4,1,8]=>[3,4,7,2,6,5,8,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[]]],[],[[[]]],[]]
[5,1,6,7,4,3,2,8]=>[4,8,3,2,5,6,7,1]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[[[[[]]]],[[],[],[]]]
[5,1,6,8,7,3,2,4]=>[4,8,3,1,2,6,7,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[[[[],[]]],[[[]],[]]]
[7,1,6,8,4,3,2,5]=>[2,8,3,1,5,6,7,4]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>[[[]],[[],[[]],[],[]]]
[5,7,8,6,3,4,2,1]=>[4,2,1,3,6,5,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[4,1,8,3,6,5,7,2]=>[5,8,1,6,3,4,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[[[],[[]],[]],[[],[]]]
[4,1,8,3,6,2,7,5]=>[5,8,1,6,3,7,2,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[[[],[[]],[]],[[],[]]]
[3,1,4,8,6,2,7,5]=>[6,8,5,1,3,7,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[[[[],[[]],[]]],[[]]]
[3,1,4,8,6,5,2,7]=>[6,8,5,1,3,4,7,2]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[[[[],[[]],[]]],[[]]]
[7,1,6,5,8,3,2,4]=>[2,8,3,4,1,6,7,5]=>[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>[[[]],[[],[],[[]],[]]]
[4,1,6,7,8,3,2,5]=>[5,8,3,2,1,6,7,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[[[[]]],[]],[[],[]]]
[4,1,6,5,7,3,2,8]=>[5,8,3,4,2,6,7,1]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[[[[]]],[]],[[],[]]]
[4,5,2,6,3,7,1,8]=>[5,4,7,3,6,2,8,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[4,5,2,7,3,8,1,6]=>[5,4,7,2,6,1,8,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[3,5,6,2,4,8,7,1]=>[6,4,3,7,5,1,2,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[3,5,6,2,4,8,1,7]=>[6,4,3,7,5,1,8,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]
[3,7,5,6,8,4,1,2]=>[6,2,4,3,1,5,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[[[]],[[]],[]],[[]]]
[3,6,5,2,8,1,7,4]=>[6,3,4,7,1,8,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]
[6,1,2,5,8,4,7,3]=>[3,8,7,4,1,5,2,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>[[[],[]],[[[],[],[]]]]
[7,1,6,5,8,3,4,2]=>[2,8,3,4,1,6,5,7]=>[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>[[[]],[[],[],[[]],[]]]
[7,5,2,6,3,8,4,1]=>[2,4,7,3,6,1,5,8]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[[]],[[]],[[[]]],[]]
[4,1,2,3,5,8,7,6]=>[5,8,7,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[[[[],[],[]]],[[[]]]]
[4,1,2,3,7,8,6,5]=>[5,8,7,6,2,1,3,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[]],[],[]],[[[]]]]
[4,5,2,7,3,8,6,1]=>[5,4,7,2,6,1,3,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[4,1,6,7,8,3,5,2]=>[5,8,3,2,1,6,4,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[[[[]]],[]],[[],[]]]
[4,1,2,6,8,5,7,3]=>[5,8,7,3,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]
[4,1,2,5,6,8,7,3]=>[5,8,7,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[[[[[],[]]]],[[[]]]]
[4,5,2,6,3,7,8,1]=>[5,4,7,3,6,2,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[7,8,5,6,1,4,3,2]=>[2,1,4,3,8,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[[[]],[[]],[[],[],[]]]
[7,8,4,2,1,5,3,6]=>[2,1,5,7,8,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[7,8,2,1,6,5,3,4]=>[2,1,7,8,3,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>[[[]],[[],[],[[]]],[]]
[6,4,1,2,5,7,3,8]=>[3,5,8,7,4,2,6,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]
[2,4,8,1,5,7,3,6]=>[7,5,1,8,4,2,6,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[[[[],[[],[]]],[]],[]]
[4,3,8,1,7,2,5,6]=>[5,6,1,8,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[[[],[],[[]]],[],[[]]]
[6,3,1,4,7,2,5,8]=>[3,6,8,5,2,7,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[7,8,3,4,5,1,6,2]=>[2,1,6,5,4,8,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[[[]],[[[[]]]],[[]]]
[7,8,3,5,4,2,1,6]=>[2,1,6,4,5,7,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[]],[],[]]
[7,8,4,1,2,3,6,5]=>[2,1,5,8,7,6,3,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[]],[[],[]],[[[]]]]
[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[[[]],[[],[],[]],[[]]]
[7,8,2,1,5,3,4,6]=>[2,1,7,8,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[[[]],[[[]],[[]]],[]]
[7,8,2,6,4,1,3,5]=>[2,1,7,3,5,8,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[[[]],[[],[[]],[]],[]]
[7,8,2,5,6,4,1,3]=>[2,1,7,4,3,5,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>[[[]],[[[]],[],[]],[]]
[7,8,1,6,5,4,3,2]=>[2,1,8,3,4,5,6,7]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[[[]],[[],[],[],[],[]]]
[6,2,1,7,5,4,3,8]=>[3,7,8,2,4,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[[[[]]],[[],[],[]],[]]
[2,1,8,7,5,4,3,6]=>[7,8,1,2,4,5,6,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[[[],[],[[]],[],[]],[]]
[1,3,8,2,6,4,7,5]=>[8,6,1,7,3,5,2,4]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>[[[[],[[]],[[]]],[]]]
[5,3,7,1,6,4,8,2]=>[4,6,2,8,3,5,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[5,3,6,2,7,4,1,8]=>[4,6,3,7,2,5,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]
[6,1,2,5,8,7,4,3]=>[3,8,7,4,1,2,5,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>[[[],[]],[[[],[],[]]]]
[6,3,1,8,4,2,7,5]=>[3,6,8,1,5,7,2,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]
[6,4,2,1,5,3,8,7]=>[3,5,7,8,4,6,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[]],[[]],[]]
[6,4,3,7,5,8,1,2]=>[3,5,6,2,4,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[4,3,8,7,5,6,1,2]=>[5,6,1,2,4,3,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[[[],[],[[]]],[],[[]]]
[2,4,7,1,5,3,6,8]=>[7,5,2,8,4,6,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]
[1,3,7,6,4,2,8,5]=>[8,6,2,3,5,7,1,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>[[[[[]],[],[[]]],[]]]
[2,1,7,5,6,8,4,3]=>[7,8,2,4,3,1,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[]],[[]],[],[]],[]]
[3,7,2,8,6,4,1,5]=>[6,2,7,1,3,5,8,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[[[[]],[],[[]]],[],[]]
[3,8,1,7,6,4,5,2]=>[6,1,8,2,3,5,4,7]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>[[[],[],[],[[]]],[[]]]
[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[[[],[[],[]],[[]],[]]]
[2,7,5,8,3,6,1,4]=>[7,2,4,1,6,3,8,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[[[[]],[[]],[[]]],[]]
[1,5,6,8,2,4,7,3]=>[8,4,3,1,7,5,2,6]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>[[[[[],[]]],[[],[]]]]
[2,6,8,5,3,1,4,7]=>[7,3,1,4,6,8,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[],[[]]],[]]
[2,6,1,4,7,3,5,8]=>[7,3,8,5,2,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]
[5,6,7,3,8,4,1,2]=>[4,3,2,6,1,5,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[5,2,8,1,4,7,3,6]=>[4,7,1,8,5,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[],[]],[[],[]],[]]
[4,6,7,5,2,1,3,8]=>[5,3,2,4,7,8,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]
[4,5,6,7,2,8,1,3]=>[5,4,3,2,7,1,8,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]
[4,5,7,6,1,8,3,2]=>[5,4,2,3,8,1,6,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[[[[[]],[]]],[[],[]]]
[1,5,8,6,2,7,3,4]=>[8,4,1,3,7,2,6,5]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[[[[],[[]]],[[[]]]]]
[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>[[[[],[]],[],[[]],[]]]
[4,6,5,7,1,2,8,3]=>[5,3,4,2,8,7,1,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]
[4,7,5,6,3,1,8,2]=>[5,2,4,3,6,8,1,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[[[[]],[[]]],[],[[]]]
[5,1,6,3,4,2,8,7]=>[4,8,3,6,5,7,1,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[[[[],[]]],[[[]],[]]]
[5,7,1,4,2,3,8,6]=>[4,2,8,5,7,6,1,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[[[[]],[]],[[],[[]]]]
[5,7,6,4,3,8,1,2]=>[4,2,3,5,6,1,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[]],[]],[],[],[[]]]
[6,3,4,5,8,7,1,2]=>[3,6,5,4,1,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]
[6,2,4,1,8,3,7,5]=>[3,7,5,8,1,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[]],[]],[]]
[6,2,3,5,4,8,1,7]=>[3,7,6,4,5,1,8,2]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[],[]]],[]]
[6,1,3,4,5,8,7,2]=>[3,8,6,5,4,1,2,7]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>[[[],[]],[[[[]]],[]]]
[5,1,4,2,7,6,8,3]=>[4,8,5,7,2,3,1,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[[[[]],[]],[[],[[]]]]
[1,6,2,4,7,8,3,5]=>[8,3,7,5,2,1,6,4]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[[[[[]]],[[[]],[]]]]
[5,7,2,4,1,6,3,8]=>[4,2,7,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[]],[]],[[],[]],[]]
[6,1,4,2,8,5,3,7]=>[3,8,5,7,1,4,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[],[]],[[[]],[[]]]]
[6,7,5,8,1,4,3,2]=>[3,2,4,1,8,5,6,7]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[[[[]]],[],[[],[],[]]]
[5,8,7,6,3,4,1,2]=>[4,1,2,3,6,5,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[],[]],[[]],[[]]]
[5,8,7,6,2,3,1,4]=>[4,1,2,3,7,6,8,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[],[]],[[[]]],[]]
[4,1,7,2,6,5,3,8]=>[5,8,2,7,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[]],[],[]],[[[]]]]
[4,8,2,1,5,6,3,7]=>[5,1,7,8,4,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[[[],[[[]]]],[[]],[]]
[4,2,7,8,1,6,3,5]=>[5,7,2,1,8,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]
[2,1,8,7,6,5,3,4]=>[7,8,1,2,3,4,6,5]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[[[],[],[],[],[[]]],[]]
[3,1,4,7,8,2,6,5]=>[6,8,5,2,1,7,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[[[[[]],[],[]]],[[]]]
[3,1,7,4,5,6,8,2]=>[6,8,2,5,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[[[[]],[[[]]]],[[]]]
[4,2,7,1,6,3,8,5]=>[5,7,2,8,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]
[4,3,7,5,6,8,1,2]=>[5,6,2,4,3,1,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[[[[]],[[]]],[],[[]]]
[4,8,6,3,5,7,1,2]=>[5,1,3,6,4,2,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[[[],[[]],[]],[],[[]]]
[4,8,1,2,5,3,7,6]=>[5,1,8,7,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[[[],[[],[]]],[[[]]]]
[3,8,6,5,2,4,1,7]=>[6,1,3,4,7,5,8,2]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[[[],[[]],[],[]],[],[]]
[3,8,5,6,1,4,7,2]=>[6,1,4,3,8,5,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[[[],[[[]]],[]],[[]]]
[5,3,7,8,2,1,6,4]=>[4,6,2,1,7,8,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[],[]],[[],[]],[]]
[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>[[[[],[]],[],[[],[]]]]
[3,6,7,8,5,1,4,2]=>[6,3,2,1,4,8,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[]]],[],[]],[[]]]
[3,7,6,8,5,2,1,4]=>[6,2,3,1,4,7,8,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]
[3,7,8,5,1,2,4,6]=>[6,2,1,4,8,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[[[]],[[]],[]],[[]]]
[3,7,1,6,4,2,5,8]=>[6,2,8,3,5,7,4,1]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[[[[]],[],[[]]],[[]]]
[4,1,8,6,2,3,5,7]=>[5,8,1,3,7,6,4,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[[[],[[]],[]],[[[]]]]
[4,7,8,6,3,5,1,2]=>[5,2,1,3,6,4,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[[[[]],[],[]],[],[[]]]
[3,8,7,6,5,4,1,2]=>[6,1,2,3,4,5,8,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[[[],[],[],[],[]],[[]]]
[2,1,7,6,5,3,4,8]=>[7,8,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>[[[[]],[],[],[[]]],[]]
[2,8,1,6,4,5,3,7]=>[7,1,8,3,5,4,6,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[[[],[[]],[[]],[]],[]]
[2,8,7,5,1,4,3,6]=>[7,1,2,4,8,5,6,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[[[],[],[[]],[],[]],[]]
[2,8,6,7,5,1,3,4]=>[7,1,3,2,4,8,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[[[],[[]],[],[[]]],[]]
[2,7,8,6,5,4,1,3]=>[7,2,1,3,4,5,8,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[[[[]],[],[],[],[]],[]]
[7,4,2,5,1,3,8,6]=>[2,5,7,4,8,6,1,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]
[7,5,3,6,1,8,2,4]=>[2,4,6,3,8,1,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[[]],[[]],[[]],[[]]]
[7,3,6,2,4,8,1,5]=>[2,6,3,7,5,1,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[[[]],[[],[[]]],[],[]]
[4,3,7,1,2,5,8,6]=>[5,6,2,8,7,4,1,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[[[[]],[[]]],[],[[]]]
[3,6,2,7,1,4,8,5]=>[6,3,7,2,8,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[5,3,6,7,1,2,8,4]=>[4,6,3,2,8,7,1,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[6,3,7,4,1,2,8,5]=>[3,6,2,5,8,7,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[4,7,1,5,2,3,8,6]=>[5,2,8,4,7,6,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[3,7,5,1,2,4,8,6]=>[6,2,4,8,7,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[[[]],[[]],[]],[[]]]
[5,7,4,2,3,8,1,6]=>[4,2,5,7,6,1,8,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]
[3,7,6,1,4,8,2,5]=>[6,2,3,8,5,1,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[[[[]],[],[[]]],[[]]]
[5,7,2,6,1,8,3,4]=>[4,2,7,3,8,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[]],[]],[[[]]],[]]
[6,4,7,5,2,8,1,3]=>[3,5,2,4,7,1,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[5,8,2,6,3,7,1,4]=>[4,1,7,3,6,2,8,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[[[],[[]]],[[[]]],[]]
[3,8,6,1,2,7,4,5]=>[6,1,3,8,7,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[[],[[]],[[]]],[[]]]
[3,8,6,2,4,7,1,5]=>[6,1,3,7,5,2,8,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[[[],[[]],[[]]],[],[]]
[6,8,4,3,7,1,2,5]=>[3,1,5,6,2,8,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]
[6,8,5,3,7,1,2,4]=>[3,1,4,6,2,8,7,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[],[[]],[[]]]
[3,8,5,7,1,2,4,6]=>[6,1,4,2,8,7,5,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[[[],[[],[]],[]],[[]]]
[2,7,6,4,8,1,3,5]=>[7,2,3,5,1,8,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[[[[]],[],[[]],[]],[]]
[2,5,7,4,8,1,3,6]=>[7,4,2,5,1,8,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]
[5,4,6,7,2,8,1,3]=>[4,5,3,2,7,1,8,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]
[3,5,7,1,4,8,2,6]=>[6,4,2,8,5,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[[[[]],[]],[]],[[]]]
[5,3,7,2,4,8,1,6]=>[4,6,2,7,5,1,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[7,4,6,3,8,1,2,5]=>[2,5,3,6,1,8,7,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[[[]],[[],[]],[],[[]]]
[8,4,6,3,7,1,2,5]=>[1,5,3,6,2,8,7,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[[],[[[]],[]],[],[[]]]
[8,4,1,6,7,2,3,5]=>[1,5,8,3,2,7,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[],[[[]],[]],[[[]]]]
[5,4,1,7,8,2,3,6]=>[4,5,8,2,1,7,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[[[]],[]],[],[[[]]]]
[6,5,1,2,7,8,3,4]=>[3,4,8,7,2,1,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[[[[]]],[],[[[[]]]]]
[5,3,6,4,7,8,1,2]=>[4,6,3,5,2,1,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]
[6,3,7,4,8,5,1,2]=>[3,6,2,5,1,4,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[4,7,1,5,8,6,2,3]=>[5,2,8,4,1,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[7,5,1,2,8,6,3,4]=>[2,4,8,7,1,3,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[[[]],[[]],[[[[]]]]]
[7,5,3,8,1,6,2,4]=>[2,4,6,1,8,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[[]],[[]],[[]],[[]]]
[8,6,1,7,5,2,3,4]=>[1,3,8,2,4,7,6,5]=>[.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>[[],[[]],[[],[[[]]]]]
[5,7,2,8,1,6,3,4]=>[4,2,7,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[]],[]],[[[]]],[]]
[6,4,7,8,2,5,1,3]=>[3,5,2,1,7,4,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]
[6,3,7,8,5,1,2,4]=>[3,6,2,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]
[3,6,8,2,7,1,4,5]=>[6,3,1,7,2,8,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]
[2,4,8,7,1,3,5,6]=>[7,5,1,2,8,6,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[[[[],[],[[]]],[]],[]]
[4,3,8,7,1,2,5,6]=>[5,6,1,2,8,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[[[],[],[[]]],[],[[]]]
[8,4,7,6,1,2,3,5]=>[1,5,2,3,8,7,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[],[[],[],[]],[[[]]]]
[5,4,8,7,1,2,3,6]=>[4,5,1,2,8,7,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[],[]],[],[[[]]]]
[3,5,8,7,1,2,4,6]=>[6,4,1,2,8,7,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[],[]],[]],[[]]]
[4,7,1,8,6,2,3,5]=>[5,2,8,1,3,7,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[]],[],[]],[[[]]]]
[7,5,8,6,4,1,2,3]=>[2,4,1,3,5,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[[[]],[[]],[],[[[]]]]
[6,8,4,7,5,1,2,3]=>[3,1,5,2,4,8,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[]],[[[]]]]
[2,8,7,6,1,3,4,5]=>[7,1,2,3,8,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[[[],[],[],[[[]]]],[]]
[3,8,7,6,1,2,4,5]=>[6,1,2,3,8,7,5,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>[[[],[],[],[[]]],[[]]]
[4,8,7,6,1,2,3,5]=>[5,1,2,3,8,7,6,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[[[],[],[],[]],[[[]]]]
[5,6,3,1,4,2,8,7]=>[4,3,6,8,5,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]
[3,8,7,4,5,1,6,2]=>[6,1,2,5,4,8,3,7]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[[[],[],[[[]]]],[[]]]
[5,7,3,8,1,2,6,4]=>[4,2,6,1,8,7,3,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[8,7,1,4,5,3,2,6]=>[1,2,8,5,4,6,7,3]=>[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[[],[],[[[[]]],[],[]]]
[2,7,8,4,1,6,5,3]=>[7,2,1,5,8,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[[[[]],[[],[]],[]],[]]
[7,1,8,4,2,6,5,3]=>[2,8,1,5,7,3,4,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>[[[]],[[[],[]],[[]]]]
[6,5,3,1,8,4,7,2]=>[3,4,6,8,1,5,2,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[],[[]],[[]]]
[8,6,3,1,2,5,7,4]=>[1,3,6,8,7,4,2,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[[],[[]],[[],[]],[[]]]
[8,7,1,4,2,6,5,3]=>[1,2,8,5,7,3,4,6]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]=>[[],[],[[[],[]],[[]]]]
[7,3,8,4,1,6,5,2]=>[2,6,1,5,8,3,4,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[[[]],[[[],[]]],[[]]]
[2,3,4,5,6,7,8,1,9]=>[8,7,6,5,4,3,2,9,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[[[[[[[[[]]]]]]]],[]]
[2,3,4,5,6,8,9,1,7]=>[8,7,6,5,4,2,1,9,3]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>[[[[[[[[]],[]]]]]],[]]
[2,4,5,6,7,8,9,1,3]=>[8,6,5,4,3,2,1,9,7]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>[[[[[[[[]]]]]],[]],[]]
[3,4,5,6,7,8,9,1,2]=>[7,6,5,4,3,2,1,9,8]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>[[[[[[[[]]]]]]],[[]]]
[2,3,4,5,6,7,8,9,10,1]=>[9,8,7,6,5,4,3,2,1,10]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>[[[[[[[[[[]]]]]]]]],[]]
[2,3,4,5,6,7,8,9,1,10]=>[9,8,7,6,5,4,3,2,10,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>[[[[[[[[[[]]]]]]]]],[]]
[2,3,4,5,6,7,1,8,9]=>[8,7,6,5,4,3,9,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[[[[[[[[[]]]]]]]],[]]
[2,3,4,5,6,7,8,10,1,9]=>[9,8,7,6,5,4,3,1,10,2]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>[[[[[[[[[],[]]]]]]]],[]]
[2,3,4,5,6,1,9,7,8]=>[8,7,6,5,4,9,1,3,2]=>[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]]=>[[[[[[[],[[]]]]]]],[]]
[2,3,4,5,6,7,9,10,1,8]=>[9,8,7,6,5,4,2,1,10,3]=>[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]]=>[[[[[[[[[]],[]]]]]]],[]]
[2,4,5,6,7,8,9,10,1,3]=>[9,7,6,5,4,3,2,1,10,8]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]=>[[[[[[[[[]]]]]]],[]],[]]
[3,4,5,6,7,8,9,10,1,2]=>[8,7,6,5,4,3,2,1,10,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[[[[[[[[[]]]]]]]],[[]]]
[3,6,4,5,7,2,8,1]=>[6,3,5,4,2,7,1,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[5,3,2,7,4,6,8,1]=>[4,6,7,2,5,3,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[7,5,3,6,2,4,8,1]=>[2,4,6,3,7,5,1,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[8,5,3,6,2,7,1,4]=>[1,4,6,3,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[],[[[]]],[[]],[],[]]
[8,2,6,3,4,7,1,5]=>[1,7,3,6,5,2,8,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>[[],[[[]],[[[]]]],[]]
[7,2,6,3,4,5,8,1]=>[2,7,3,6,5,4,1,8]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>[[[]],[[],[[[]]]],[]]
[6,2,7,3,4,5,8,1]=>[3,7,2,6,5,4,1,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[[[]]],[[[[]]]],[]]
[3,6,2,7,4,5,8,1]=>[6,3,7,2,5,4,1,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[4,2,5,7,3,6,8,1]=>[5,7,4,2,6,3,1,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]
[5,4,7,6,2,3,8,1]=>[4,5,2,3,7,6,1,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]
[6,7,3,5,2,4,8,1]=>[3,2,6,4,7,5,1,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]
[3,7,6,2,4,5,8,1]=>[6,2,3,7,5,4,1,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[[[[]],[],[[]]],[],[]]
[2,7,6,3,4,5,8,1]=>[7,2,3,6,5,4,1,8]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>[[[[]],[],[[[]]]],[]]
[6,5,3,1,2,8,4,7]=>[3,4,6,8,7,1,5,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[],[[]],[[]]]
[8,6,5,2,3,7,1,4]=>[1,3,4,7,6,2,8,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[[],[[]],[],[[[]]],[]]
[7,5,2,1,8,3,4,6]=>[2,4,7,8,1,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[[]],[[]],[[[]]],[]]
[1,6,3,2,8,4,5,7]=>[8,3,6,7,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[[[[],[]],[[[]]],[]]]
[5,7,3,1,2,8,4,6]=>[4,2,6,8,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]
[5,6,2,3,1,8,4,7]=>[4,3,7,6,8,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[]]],[[[]]],[]]
[4,2,6,5,1,8,3,7]=>[5,7,3,4,8,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]
[5,4,8,6,2,7,1,3]=>[4,5,1,3,7,2,8,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[[[],[[]]],[],[[]],[]]
[6,8,3,5,2,7,1,4]=>[3,1,6,4,7,2,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[],[]],[],[]]
[7,8,5,2,3,6,1,4]=>[2,1,4,7,6,3,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[[]],[[]],[[[]]],[]]
[1,8,6,3,7,2,4,5]=>[8,1,3,6,2,7,5,4]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[[[],[[]],[[[]]],[]]]
[1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[[[],[[],[[[[]]]]]]]
[2,8,1,7,3,4,5,6]=>[7,1,8,2,6,5,4,3]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[[[],[],[[[[]]]]],[]]
[4,8,1,5,7,2,3,6]=>[5,1,8,4,2,7,6,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[[[],[[],[]]],[[[]]]]
[4,2,8,3,7,1,5,6]=>[5,7,1,6,2,8,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[[[],[],[[]]],[[]],[]]
[4,1,7,5,8,2,3,6]=>[5,8,2,4,1,7,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]
[8,1,2,7,3,4,5,6]=>[1,8,7,2,6,5,4,3]=>[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[[],[[[],[[[[]]]]]]]
[3,6,2,7,1,8,4,5]=>[6,3,7,2,8,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]
[6,3,7,1,2,8,4,5]=>[3,6,2,8,7,1,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]
[7,2,6,1,8,3,4,5]=>[2,7,3,8,1,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>[[[]],[[],[[[]]]],[]]
[7,3,1,5,8,2,4,6]=>[2,6,8,4,1,7,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]
[3,2,1,5,8,4,6,7]=>[6,7,8,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[[[[],[[]]],[]],[],[]]
[1,5,3,4,6,8,2,7]=>[8,4,6,5,3,1,7,2]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>[[[[[],[]]],[[]],[]]]
[5,4,6,3,8,7,1,2]=>[4,5,3,6,1,2,8,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[[[[],[]]],[],[],[[]]]
[3,6,4,5,8,7,1,2]=>[6,3,5,4,1,2,8,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[[],[]],[[]]],[[]]]
[6,5,3,4,8,7,1,2]=>[3,4,6,5,1,2,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[],[[]],[[]]]
[5,3,2,8,7,1,4,6]=>[4,6,7,1,2,8,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[],[]],[[]],[],[]]
[5,3,1,8,7,2,4,6]=>[4,6,8,1,2,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[],[]],[[]],[[]]]
[8,5,3,7,6,1,2,4]=>[1,4,6,2,3,8,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[],[[],[]],[[]],[[]]]
[6,1,8,3,7,2,4,5]=>[3,8,1,6,2,7,5,4]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>[[[],[]],[[[[]]],[]]]
[6,3,8,1,7,2,4,5]=>[3,6,1,8,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]
[7,6,8,2,3,5,1,4]=>[2,3,1,7,6,4,8,5]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>[[[]],[],[[[],[]]],[]]
[3,7,8,2,4,6,1,5]=>[6,2,1,7,5,3,8,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[[[[]],[[],[]]],[],[]]
[6,7,3,8,2,5,1,4]=>[3,2,6,1,7,4,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]
[5,4,7,8,2,6,1,3]=>[4,5,2,1,7,3,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]
[4,2,5,8,7,1,3,6]=>[5,7,4,1,2,8,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[],[],[]]],[[]],[]]
[3,6,2,8,7,1,4,5]=>[6,3,7,1,2,8,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]
[2,3,8,7,1,4,5,6]=>[7,6,1,2,8,5,4,3]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[[[[],[],[[[]]]]],[]]
[7,2,8,6,1,3,4,5]=>[2,7,1,3,8,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>[[[]],[[],[[[]]]],[]]
[2,1,8,7,3,4,5,6]=>[7,8,1,2,6,5,4,3]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[[[],[],[[[[]]]]],[]]
[8,2,7,6,1,3,4,5]=>[1,7,2,3,8,6,5,4]=>[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>[[],[[],[],[[[]]]],[]]
[1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[[[[],[],[[[[]]]]]]]
[1,3,8,7,2,4,5,6]=>[8,6,1,2,7,5,4,3]=>[[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>[[[[],[],[[[]]]],[]]]
[1,7,8,3,6,2,4,5]=>[8,2,1,6,3,7,5,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>[[[[]],[[],[[]]],[]]]
[5,4,8,7,6,1,2,3]=>[4,5,1,2,3,8,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[],[]],[],[[[]]]]
[6,8,3,7,5,1,2,4]=>[3,1,6,2,4,8,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[],[]],[[]]]
[7,8,6,2,5,1,3,4]=>[2,1,3,7,4,8,6,5]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>[[[]],[],[[],[[]]],[]]
[8,1,6,7,3,2,5,4]=>[1,8,3,2,6,7,4,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[[],[[[]],[[],[]],[]]]
[8,1,6,7,3,2,4,5]=>[1,8,3,2,6,7,5,4]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>[[],[[[]],[[[]]],[]]]
[7,5,1,3,6,2,4,8]=>[2,4,8,6,3,7,5,1]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[[[]],[[]],[[[]],[]]]
[7,5,8,3,6,2,4,1]=>[2,4,1,6,3,7,5,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[7,4,8,3,2,6,5,1]=>[2,5,1,6,7,3,4,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[]],[[],[]],[],[],[]]
[7,4,1,3,2,6,5,8]=>[2,5,8,6,7,3,4,1]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[[[]],[[],[]],[[],[]]]
[8,1,4,3,2,7,6,5]=>[1,8,5,6,7,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[[],[[[],[],[]],[],[]]]
[8,1,5,3,6,2,7,4]=>[1,8,4,6,3,7,2,5]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[[],[[[[]]],[[]],[]]]
[8,1,4,3,2,5,6,7]=>[1,8,5,6,7,4,3,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[[],[[[[[]]]],[],[]]]
[7,4,1,3,2,5,6,8]=>[2,5,8,6,7,4,3,1]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[[[]],[[[]]],[[],[]]]
[7,4,8,3,2,5,6,1]=>[2,5,1,6,7,4,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[6,4,3,8,2,5,7,1]=>[3,5,6,1,7,4,2,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[]],[],[],[]]
[6,4,3,1,2,5,8,7]=>[3,5,6,8,7,4,1,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]
[7,4,1,3,2,5,8,6]=>[2,5,8,6,7,4,1,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[[[]],[[[]]],[[],[]]]
[7,4,1,3,2,6,8,5]=>[2,5,8,6,7,3,1,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[[[]],[[],[]],[[],[]]]
[7,5,1,3,6,2,8,4]=>[2,4,8,6,3,7,1,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[[[]],[[]],[[[]],[]]]
[7,5,8,3,6,2,1,4]=>[2,4,1,6,3,7,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[]],[[]],[[]],[],[]]
[7,4,8,3,2,6,1,5]=>[2,5,1,6,7,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[]],[[],[]],[],[],[]]
[7,4,8,3,2,5,1,6]=>[2,5,1,6,7,4,8,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[6,4,3,8,2,5,1,7]=>[3,5,6,1,7,4,8,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[]],[],[],[]]
[6,4,3,7,2,5,8,1]=>[3,5,6,2,7,4,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[5,4,3,2,8,6,1,7]=>[4,5,6,7,1,3,8,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[[[],[[]]],[],[],[],[]]
[5,4,3,2,8,7,1,6]=>[4,5,6,7,1,2,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[[[],[],[]],[],[],[],[]]
[6,5,3,8,7,2,1,4]=>[3,4,6,1,2,7,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[],[[]],[],[]]
[6,5,4,8,7,1,2,3]=>[3,4,5,1,2,8,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[[[],[]],[],[],[[[]]]]
[6,5,4,1,7,8,2,3]=>[3,4,5,8,2,1,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[[[[]]],[],[],[[[]]]]
[6,4,3,1,2,7,8,5]=>[3,5,6,8,7,2,1,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[5,4,3,2,1,8,6,7]=>[4,5,6,7,8,1,3,2]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[[[],[[]]],[],[],[],[]]
[6,5,3,1,8,2,7,4]=>[3,4,6,8,1,7,2,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[],[[]],[[]]]
[6,5,4,1,8,7,2,3]=>[3,4,5,8,1,2,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[[[],[]],[],[],[[[]]]]
[7,5,1,4,8,6,2,3]=>[2,4,8,5,1,3,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[[[]],[[]],[[],[[]]]]
[7,4,1,3,2,8,6,5]=>[2,5,8,6,7,1,3,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[[[]],[[],[]],[[],[]]]
[6,4,3,1,2,8,5,7]=>[3,5,6,8,7,1,4,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]
[6,4,3,1,2,7,5,8]=>[3,5,6,8,7,2,4,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]
[6,4,3,8,2,7,5,1]=>[3,5,6,1,7,2,4,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[]],[],[],[]]
[6,5,3,8,7,2,4,1]=>[3,4,6,1,2,7,5,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[],[[]],[],[]]
[6,5,3,1,7,2,4,8]=>[3,4,6,8,2,7,5,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[[[[]]],[],[[]],[[]]]
[6,5,3,1,8,2,4,7]=>[3,4,6,8,1,7,5,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[],[[]],[[]]]
[7,5,1,3,8,2,4,6]=>[2,4,8,6,1,7,5,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[[[]],[[]],[[[]],[]]]
[7,6,1,8,3,2,4,5]=>[2,3,8,1,6,7,5,4]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>[[[]],[],[[[[]]],[]]]
[7,6,1,8,4,5,2,3]=>[2,3,8,1,5,4,7,6]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[[[]],[],[[[]],[[]]]]
[7,6,8,1,4,5,2,3]=>[2,3,1,8,5,4,7,6]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[[[]],[],[[[]],[[]]]]
[7,6,8,1,3,2,5,4]=>[2,3,1,8,6,7,4,5]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>[[[]],[],[[[],[]],[]]]
[6,5,3,7,8,2,4,1]=>[3,4,6,2,1,7,5,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[6,4,3,7,2,8,5,1]=>[3,5,6,2,7,1,4,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[6,4,3,7,2,1,5,8]=>[3,5,6,2,7,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[7,4,8,3,2,1,5,6]=>[2,5,1,6,7,8,4,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]
[7,4,8,3,2,1,6,5]=>[2,5,1,6,7,8,3,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[]],[[],[]],[],[],[]]
[7,5,8,4,1,6,2,3]=>[2,4,1,5,8,3,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[[[]],[[]],[],[[[]]]]
[6,5,4,8,1,7,2,3]=>[3,4,5,1,8,2,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[[[],[]],[],[],[[[]]]]
[5,4,3,2,8,1,7,6]=>[4,5,6,7,1,8,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[[[],[],[]],[],[],[],[]]
[6,4,3,7,2,1,8,5]=>[3,5,6,2,7,8,1,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[6,5,4,7,1,8,2,3]=>[3,4,5,2,8,1,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[[[[]]],[],[],[[[]]]]
[6,5,3,7,8,2,1,4]=>[3,4,6,2,1,7,8,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[[[]]],[],[[]],[],[]]
[6,4,3,7,2,8,1,5]=>[3,5,6,2,7,1,8,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]
[5,4,3,2,7,8,1,6]=>[4,5,6,7,2,1,8,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[]],[]],[],[],[],[]]
[5,4,3,2,6,8,1,7]=>[4,5,6,7,3,1,8,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[[[[],[]]],[],[],[],[]]
[5,8,2,7,4,1,3,6]=>[4,1,7,2,5,8,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[],[]],[[],[]],[]]
[5,3,7,8,2,1,4,6]=>[4,6,2,1,7,8,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]
[7,6,1,2,5,8,3,4]=>[2,3,8,7,4,1,6,5]=>[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[[[]],[],[[[],[[]]]]]
[2,1,7,8,4,3,5,6]=>[7,8,2,1,5,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[]],[[[]]],[]],[]]
[8,3,7,4,1,5,6,2]=>[1,6,2,5,8,4,3,7]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>[[],[[],[[[]]]],[[]]]
[2,6,8,3,1,4,7,5]=>[7,3,1,6,8,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[]]]],[]]
[6,1,8,3,2,4,5,7]=>[3,8,1,6,7,5,4,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>[[[],[]],[[[[]]],[]]]
[5,8,7,4,2,1,6,3]=>[4,1,2,5,7,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[[[],[],[]],[],[[]],[]]
[6,5,2,1,8,7,4,3]=>[3,4,7,8,1,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[],[[],[]],[]]
[4,7,2,8,1,3,6,5]=>[5,2,7,1,8,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]
[3,4,7,1,8,2,6,5]=>[6,5,2,8,1,7,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[[[[[]],[],[]]],[[]]]
[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>[[[],[[[[[]]]],[]]]]
[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>[[[[]],[[[[]]],[]]]]
[1,6,2,4,3,5,7,8]=>[8,3,7,5,6,4,2,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[[[[[]]],[[[]],[]]]]
[1,5,2,4,3,6,7,8]=>[8,4,7,5,6,3,2,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[[[[[[]]]],[[],[]]]]
[1,6,2,5,3,4,7,8]=>[8,3,7,4,6,5,2,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[[[[[]]],[[],[[]]]]]
[1,7,2,5,3,4,6,8]=>[8,2,7,4,6,5,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[[[[]],[[[]],[[]]]]]
[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>[[[],[[[[]]],[[]]]]]
[1,8,2,6,3,4,5,7]=>[8,1,7,3,6,5,4,2]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>[[[],[[[]],[[[]]]]]]
[1,7,2,6,3,4,5,8]=>[8,2,7,3,6,5,4,1]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>[[[[]],[[],[[[]]]]]]
[1,8,2,7,3,5,4,6]=>[8,1,7,2,6,4,5,3]=>[[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>[[[],[[],[[[]],[]]]]]
[1,7,2,8,3,5,4,6]=>[8,2,7,1,6,4,5,3]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>[[[[]],[[[[]],[]]]]]
[1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>[[[[],[]],[[[],[]]]]]
[1,5,2,8,3,6,4,7]=>[8,4,7,1,6,3,5,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[[[[],[[]]],[[[]]]]]
[1,4,2,8,3,6,5,7]=>[8,5,7,1,6,3,4,2]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>[[[[],[[]],[]],[[]]]]
[1,3,2,8,4,6,5,7]=>[8,6,7,1,5,3,4,2]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>[[[[],[[[]],[]]],[]]]
[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[[[[[],[[[]],[]]]]]]
[1,2,3,7,4,6,5,8]=>[8,7,6,2,5,3,4,1]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>[[[[[[]],[[],[]]]]]]
[1,3,2,7,4,6,5,8]=>[8,6,7,2,5,3,4,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>[[[[[]],[[],[]]],[]]]
[1,4,2,7,3,6,5,8]=>[8,5,7,2,6,3,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[[[[[]],[],[]],[[]]]]
[1,5,2,7,3,6,4,8]=>[8,4,7,2,6,3,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[[[[[]],[]],[[[]]]]]
[1,6,2,7,3,5,4,8]=>[8,3,7,2,6,4,5,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[[[[[]]],[[[],[]]]]]
[1,7,2,6,3,5,4,8]=>[8,2,7,3,6,4,5,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>[[[[]],[[],[[],[]]]]]
[1,8,2,6,3,5,4,7]=>[8,1,7,3,6,4,5,2]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]=>[[[],[[[]],[[],[]]]]]
[1,8,2,5,3,6,4,7]=>[8,1,7,4,6,3,5,2]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>[[[],[[[[]]],[[]]]]]
[1,7,2,5,3,6,4,8]=>[8,2,7,4,6,3,5,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[[[[]],[[[]],[[]]]]]
[1,6,2,5,3,7,4,8]=>[8,3,7,4,6,2,5,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[[[[[]]],[[],[[]]]]]
[1,5,2,4,3,7,6,8]=>[8,4,7,5,6,2,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>[[[[[]],[]],[[],[]]]]
[1,6,2,4,3,7,5,8]=>[8,3,7,5,6,2,4,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[[[[[]]],[[[]],[]]]]
[1,7,2,4,3,6,5,8]=>[8,2,7,5,6,3,4,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>[[[[]],[[[],[]],[]]]]
[1,8,2,4,3,6,5,7]=>[8,1,7,5,6,3,4,2]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>[[[],[[[[]],[]],[]]]]
[1,8,2,3,4,6,5,7]=>[8,1,7,6,5,3,4,2]=>[[.,[[[[[.,.],[.,.]],.],.],.]],.]=>[[[],[[[[[]],[]]]]]]
[1,7,2,3,4,6,5,8]=>[8,2,7,6,5,3,4,1]=>[[[.,.],[[[[.,[.,.]],.],.],.]],.]=>[[[[]],[[[[],[]]]]]]
[1,8,2,3,4,7,5,6]=>[8,1,7,6,5,2,4,3]=>[[.,[[[[.,[[.,.],.]],.],.],.]],.]=>[[[],[[[[],[[]]]]]]]
[1,8,2,4,3,7,5,6]=>[8,1,7,5,6,2,4,3]=>[[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>[[[],[[[],[[]]],[]]]]
[1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>[[[[]],[[[[]]],[]]]]
[1,6,2,4,3,8,5,7]=>[8,3,7,5,6,1,4,2]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>[[[[],[]],[[[]],[]]]]
[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>[[[[],[[]]],[[],[]]]]
[1,6,2,5,3,8,4,7]=>[8,3,7,4,6,1,5,2]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>[[[[],[]],[[],[[]]]]]
[1,7,2,5,3,8,4,6]=>[8,2,7,4,6,1,5,3]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[[[[]],[[[]],[[]]]]]
[1,8,2,5,3,7,4,6]=>[8,1,7,4,6,2,5,3]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]=>[[[],[[[],[]],[[]]]]]
[1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>[[[],[[[]],[[[]]]]]]
[1,7,2,6,3,8,4,5]=>[8,2,7,3,6,1,5,4]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>[[[[]],[[],[[[]]]]]]
[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[[[[[],[[],[[]]]]]]]
[1,3,2,8,4,7,5,6]=>[8,6,7,1,5,2,4,3]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>[[[[],[[],[[]]]],[]]]
[1,4,2,8,3,7,5,6]=>[8,5,7,1,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>[[[[],[],[[]]],[[]]]]
[1,5,2,8,3,7,4,6]=>[8,4,7,1,6,2,5,3]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>[[[[],[],[]],[[[]]]]]
[1,6,2,8,3,7,4,5]=>[8,3,7,1,6,2,5,4]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[[[[],[]],[[[[]]]]]]
[1,7,2,8,3,6,4,5]=>[8,2,7,1,6,3,5,4]=>[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>[[[[]],[[[],[[]]]]]]
[1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[[[],[[],[[],[[]]]]]]
[4,6,3,7,2,5,1,8]=>[5,3,6,2,7,4,8,1]=>[[[[.,.],.],[.,.]],[.,[.