Identifier
Mp00069:
Permutations
—complement⟶
Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00010: Binary trees —to ordered tree: left child = left brother⟶ Ordered trees
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00010: Binary trees —to ordered tree: left child = left 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]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[[],[],[[],[]],[],[]]
[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>[[[]],[[],[]],[],[]]
[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[[],[],[[],[]],[],[]]
[1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[[],[],[[],[]],[],[]]
[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>[[[]],[[],[]],[],[]]
[1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>[[[]],[[],[]],[],[]]
[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>[[],[],[[[]]],[],[]]
[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[[[]],[[[]]],[],[]]
[1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>[[],[],[[[]]],[],[]]
[1,2,5,4,6,7,3]=>[7,6,3,4,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>[[],[],[[[]]],[],[]]
[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[[[]],[[[]]],[],[]]
[1,2,5,4,7,6,3]=>[7,6,3,4,1,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[[[]],[[[]]],[],[]]
[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[[],[],[[],[]],[],[]]
[1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[[],[],[[],[]],[],[]]
[1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>[[],[],[[[]]],[],[]]
[1,2,5,6,4,7,3]=>[7,6,3,2,4,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>[[],[],[[[]]],[],[]]
[1,2,5,6,7,3,4]=>[7,6,3,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[[],[],[[],[]],[],[]]
[1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>[[],[],[[[]]],[],[]]
[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>[[[]],[[],[]],[],[]]
[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>[[[]],[[],[]],[],[]]
[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[[[]],[[[]]],[],[]]
[1,2,5,7,4,6,3]=>[7,6,3,1,4,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[[[]],[[[]]],[],[]]
[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]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[[[]],[[[]]],[],[]]
[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],.],.]=>[[],[[],[],[]],[],[]]
[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>[[[[.,.],[[[.,.],.],.]],.],.]=>[[],[[],[],[]],[],[]]
[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>[[],[[[]],[]],[],[]]
[1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>[[],[[[]],[]],[],[]]
[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]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>[[],[[[]],[]],[],[]]
[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[],[[],[[]]],[],[]]
[1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[],[[],[[]]],[],[]]
[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]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>[[],[[[],[]]],[],[]]
[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>[[],[[[],[]]],[],[]]
[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>[[],[[[[]]]],[],[]]
[1,2,6,5,4,7,3]=>[7,6,2,3,4,1,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>[[],[[[[]]]],[],[]]
[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]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[],[[],[[]]],[],[]]
[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>[[],[[[],[]]],[],[]]
[1,2,6,7,5,4,3]=>[7,6,2,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>[[],[[[[]]]],[],[]]
[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]=>[[[],[],[],[]],[],[]]
[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]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[[[[[[]]]]],[],[]]
[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>[[],[],[],[],[[]],[]]
[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]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>[[[],[]],[],[[]],[]]
[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>[[[[]]],[],[[]],[]]
[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]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>[[[[]]],[],[[]],[]]
[1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>[[],[],[],[],[[]],[]]
[1,3,4,5,2,7,6]=>[7,5,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>[[[]],[],[],[[]],[]]
[1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>[[],[],[],[],[[]],[]]
[1,3,4,5,6,7,2]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],.]=>[[],[],[],[],[[]],[]]
[1,3,4,5,7,2,6]=>[7,5,4,3,1,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>[[[]],[],[],[[]],[]]
[1,3,4,5,7,6,2]=>[7,5,4,3,1,2,6]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>[[[]],[],[],[[]],[]]
[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]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>[[[[]]],[],[[]],[]]
[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[],[],[[]],[[]],[]]
[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[]],[[]],[[]],[]]
[1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[],[],[[]],[[]],[]]
[1,3,5,2,6,7,4]=>[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[],[],[[]],[[]],[]]
[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[]],[[]],[[]],[]]
[1,3,5,2,7,6,4]=>[7,5,3,6,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[]],[[]],[[]],[]]
[1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[],[],[[]],[[]],[]]
[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]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[],[],[[]],[[]],[]]
[1,3,5,4,6,7,2]=>[7,5,3,4,2,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[],[],[[]],[[]],[]]
[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]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[]],[[]],[[]],[]]
[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[],[],[[]],[[]],[]]
[1,3,5,6,2,7,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[],[],[[]],[[]],[]]
[1,3,5,6,4,2,7]=>[7,5,3,2,4,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[],[],[[]],[[]],[]]
[1,3,5,6,4,7,2]=>[7,5,3,2,4,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[],[],[[]],[[]],[]]
[1,3,5,6,7,2,4]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[],[],[[]],[[]],[]]
[1,3,5,6,7,4,2]=>[7,5,3,2,1,4,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[],[],[[]],[[]],[]]
[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[]],[[]],[[]],[]]
[1,3,5,7,2,6,4]=>[7,5,3,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[]],[[]],[[]],[]]
[1,3,5,7,4,2,6]=>[7,5,3,1,4,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[]],[[]],[[]],[]]
[1,3,5,7,4,6,2]=>[7,5,3,1,4,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[]],[[]],[[]],[]]
[1,3,5,7,6,2,4]=>[7,5,3,1,2,6,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[]],[[]],[[]],[]]
[1,3,5,7,6,4,2]=>[7,5,3,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[]],[[]],[[]],[]]
[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[],[[],[]],[[]],[]]
[1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[],[[],[]],[[]],[]]
[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[],[[[]]],[[]],[]]
[1,3,6,2,5,7,4]=>[7,5,2,6,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[],[[[]]],[[]],[]]
[1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[],[[],[]],[[]],[]]
[1,3,6,2,7,5,4]=>[7,5,2,6,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[],[[[]]],[[]],[]]
[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[],[[],[]],[[]],[]]
[1,3,6,4,2,7,5]=>[7,5,2,4,6,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[],[[],[]],[[]],[]]
[1,3,6,4,5,2,7]=>[7,5,2,4,3,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[],[[],[]],[[]],[]]
[1,3,6,4,5,7,2]=>[7,5,2,4,3,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[],[[],[]],[[]],[]]
[1,3,6,4,7,2,5]=>[7,5,2,4,1,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[],[[],[]],[[]],[]]
[1,3,6,4,7,5,2]=>[7,5,2,4,1,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[],[[],[]],[[]],[]]
[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[],[[[]]],[[]],[]]
[1,3,6,5,2,7,4]=>[7,5,2,3,6,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[],[[[]]],[[]],[]]
[1,3,6,5,4,2,7]=>[7,5,2,3,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[],[[[]]],[[]],[]]
[1,3,6,5,4,7,2]=>[7,5,2,3,4,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[],[[[]]],[[]],[]]
[1,3,6,5,7,2,4]=>[7,5,2,3,1,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[],[[[]]],[[]],[]]
[1,3,6,5,7,4,2]=>[7,5,2,3,1,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[],[[[]]],[[]],[]]
[1,3,6,7,2,4,5]=>[7,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[],[[],[]],[[]],[]]
[1,3,6,7,2,5,4]=>[7,5,2,1,6,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[],[[[]]],[[]],[]]
[1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[],[[],[]],[[]],[]]
[1,3,6,7,4,5,2]=>[7,5,2,1,4,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[],[[],[]],[[]],[]]
[1,3,6,7,5,2,4]=>[7,5,2,1,3,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[],[[[]]],[[]],[]]
[1,3,6,7,5,4,2]=>[7,5,2,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[],[[[]]],[[]],[]]
[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>[[[],[],[]],[[]],[]]
[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>[[[[]],[]],[[]],[]]
[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[],[[]]],[[]],[]]
[1,3,7,2,5,6,4]=>[7,5,1,6,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[],[[]]],[[]],[]]
[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>[[[[],[]]],[[]],[]]
[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[[[[[]]]],[[]],[]]
[1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>[[[],[],[]],[[]],[]]
[1,3,7,4,2,6,5]=>[7,5,1,4,6,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>[[[[]],[]],[[]],[]]
[1,3,7,4,5,2,6]=>[7,5,1,4,3,6,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>[[[],[],[]],[[]],[]]
[1,3,7,4,5,6,2]=>[7,5,1,4,3,2,6]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>[[[],[],[]],[[]],[]]
[1,3,7,4,6,2,5]=>[7,5,1,4,2,6,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>[[[[]],[]],[[]],[]]
[1,3,7,4,6,5,2]=>[7,5,1,4,2,3,6]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>[[[[]],[]],[[]],[]]
[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[],[[]]],[[]],[]]
[1,3,7,5,2,6,4]=>[7,5,1,3,6,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[],[[]]],[[]],[]]
[1,3,7,5,4,2,6]=>[7,5,1,3,4,6,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[],[[]]],[[]],[]]
[1,3,7,5,4,6,2]=>[7,5,1,3,4,2,6]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[],[[]]],[[]],[]]
[1,3,7,5,6,2,4]=>[7,5,1,3,2,6,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[],[[]]],[[]],[]]
[1,3,7,5,6,4,2]=>[7,5,1,3,2,4,6]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[],[[]]],[[]],[]]
[1,3,7,6,2,4,5]=>[7,5,1,2,6,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>[[[[],[]]],[[]],[]]
[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[[[[[]]]],[[]],[]]
[1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>[[[[],[]]],[[]],[]]
[1,3,7,6,4,5,2]=>[7,5,1,2,4,3,6]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>[[[[],[]]],[[]],[]]
[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[[[[[]]]],[[]],[]]
[1,3,7,6,5,4,2]=>[7,5,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[[[[[]]]],[[]],[]]
[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[],[],[],[[],[]],[]]
[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[]],[],[[],[]],[]]
[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[],[]],[[],[]],[]]
[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[]]],[[],[]],[]]
[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[],[],[],[[],[]],[]]
[1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[]],[],[[],[]],[]]
[1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[],[],[],[[],[]],[]]
[1,4,2,5,6,7,3]=>[7,4,6,3,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[],[],[],[[],[]],[]]
[1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[]],[],[[],[]],[]]
[1,4,2,5,7,6,3]=>[7,4,6,3,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[]],[],[[],[]],[]]
[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,2,6,5,7,3]=>[7,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,2,6,7,5,3]=>[7,4,6,2,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[],[]],[[],[]],[]]
[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[]]],[[],[]],[]]
[1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[],[]],[[],[]],[]]
[1,4,2,7,5,6,3]=>[7,4,6,1,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[],[]],[[],[]],[]]
[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[]]],[[],[]],[]]
[1,4,2,7,6,5,3]=>[7,4,6,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[]]],[[],[]],[]]
[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[],[],[],[[[]]],[]]
[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[]],[],[[[]]],[]]
[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,3,2,6,7,5]=>[7,4,5,6,2,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[],[]],[[[]]],[]]
[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[]]],[[[]]],[]]
[1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[],[],[],[[[]]],[]]
[1,4,3,5,2,7,6]=>[7,4,5,3,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[]],[],[[[]]],[]]
[1,4,3,5,6,2,7]=>[7,4,5,3,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[],[],[],[[[]]],[]]
[1,4,3,5,6,7,2]=>[7,4,5,3,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[],[],[],[[[]]],[]]
[1,4,3,5,7,2,6]=>[7,4,5,3,1,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[]],[],[[[]]],[]]
[1,4,3,5,7,6,2]=>[7,4,5,3,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[]],[],[[[]]],[]]
[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,3,6,2,7,5]=>[7,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,3,6,5,2,7]=>[7,4,5,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,3,6,5,7,2]=>[7,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,3,6,7,2,5]=>[7,4,5,2,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,3,6,7,5,2]=>[7,4,5,2,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[],[]],[[[]]],[]]
[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[]]],[[[]]],[]]
[1,4,3,7,5,2,6]=>[7,4,5,1,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[],[]],[[[]]],[]]
[1,4,3,7,5,6,2]=>[7,4,5,1,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[],[]],[[[]]],[]]
[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[]]],[[[]]],[]]
[1,4,3,7,6,5,2]=>[7,4,5,1,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[]]],[[[]]],[]]
[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[],[],[],[[],[]],[]]
[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[]],[],[[],[]],[]]
[1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[],[],[],[[],[]],[]]
[1,4,5,2,6,7,3]=>[7,4,3,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[],[],[],[[],[]],[]]
[1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[]],[],[[],[]],[]]
[1,4,5,2,7,6,3]=>[7,4,3,6,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[]],[],[[],[]],[]]
[1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[],[],[],[[[]]],[]]
[1,4,5,3,2,7,6]=>[7,4,3,5,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[]],[],[[[]]],[]]
[1,4,5,3,6,2,7]=>[7,4,3,5,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[],[],[],[[[]]],[]]
[1,4,5,3,6,7,2]=>[7,4,3,5,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[],[],[],[[[]]],[]]
[1,4,5,3,7,2,6]=>[7,4,3,5,1,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[]],[],[[[]]],[]]
[1,4,5,3,7,6,2]=>[7,4,3,5,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[]],[],[[[]]],[]]
[1,4,5,6,2,3,7]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[],[],[],[[],[]],[]]
[1,4,5,6,2,7,3]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[],[],[],[[],[]],[]]
[1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[],[],[],[[[]]],[]]
[1,4,5,6,3,7,2]=>[7,4,3,2,5,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[],[],[],[[[]]],[]]
[1,4,5,6,7,2,3]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[],[],[],[[],[]],[]]
[1,4,5,6,7,3,2]=>[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[],[],[],[[[]]],[]]
[1,4,5,7,2,3,6]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[]],[],[[],[]],[]]
[1,4,5,7,2,6,3]=>[7,4,3,1,6,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[]],[],[[],[]],[]]
[1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[]],[],[[[]]],[]]
[1,4,5,7,3,6,2]=>[7,4,3,1,5,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[]],[],[[[]]],[]]
[1,4,5,7,6,2,3]=>[7,4,3,1,2,6,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[]],[],[[],[]],[]]
[1,4,5,7,6,3,2]=>[7,4,3,1,2,5,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[]],[],[[[]]],[]]
[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,6,2,5,7,3]=>[7,4,2,6,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,6,2,7,5,3]=>[7,4,2,6,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,6,3,2,7,5]=>[7,4,2,5,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,6,3,5,2,7]=>[7,4,2,5,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,6,3,5,7,2]=>[7,4,2,5,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,6,3,7,2,5]=>[7,4,2,5,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,6,3,7,5,2]=>[7,4,2,5,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,6,5,2,3,7]=>[7,4,2,3,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,6,5,2,7,3]=>[7,4,2,3,6,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,6,5,3,7,2]=>[7,4,2,3,5,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,6,5,7,2,3]=>[7,4,2,3,1,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,6,5,7,3,2]=>[7,4,2,3,1,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,6,7,2,5,3]=>[7,4,2,1,6,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,6,7,3,2,5]=>[7,4,2,1,5,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,6,7,3,5,2]=>[7,4,2,1,5,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,6,7,5,2,3]=>[7,4,2,1,3,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[],[[]],[[],[]],[]]
[1,4,6,7,5,3,2]=>[7,4,2,1,3,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[],[[]],[[[]]],[]]
[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[],[]],[[],[]],[]]
[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[]]],[[],[]],[]]
[1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[],[]],[[],[]],[]]
[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[],[]],[[],[]],[]]
[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[]]],[[],[]],[]]
[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[]]],[[],[]],[]]
[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[],[]],[[[]]],[]]
[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[]]],[[[]]],[]]
[1,4,7,3,5,2,6]=>[7,4,1,5,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[],[]],[[[]]],[]]
[1,4,7,3,5,6,2]=>[7,4,1,5,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[],[]],[[[]]],[]]
[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[]]],[[[]]],[]]
[1,4,7,3,6,5,2]=>[7,4,1,5,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[]]],[[[]]],[]]
[1,4,7,5,2,3,6]=>[7,4,1,3,6,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[],[]],[[],[]],[]]
[1,4,7,5,2,6,3]=>[7,4,1,3,6,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[],[]],[[],[]],[]]
[1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[],[]],[[[]]],[]]
[1,4,7,5,3,6,2]=>[7,4,1,3,5,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[],[]],[[[]]],[]]
[1,4,7,5,6,2,3]=>[7,4,1,3,2,6,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[],[]],[[],[]],[]]
[1,4,7,5,6,3,2]=>[7,4,1,3,2,5,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[],[]],[[[]]],[]]
[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[]]],[[],[]],[]]
[1,4,7,6,2,5,3]=>[7,4,1,2,6,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[]]],[[],[]],[]]
[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[]]],[[[]]],[]]
[1,4,7,6,3,5,2]=>[7,4,1,2,5,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[]]],[[[]]],[]]
[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]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[]]],[[[]]],[]]
[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[],[],[[],[],[]],[]]
[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[]],[[],[],[]],[]]
[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[],[],[[],[],[]],[]]
[1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[],[],[[],[],[]],[]]
[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]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[],[],[[[]],[]],[]]
[1,5,2,4,6,7,3]=>[7,3,6,4,2,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[],[],[[[]],[]],[]]
[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[]],[[[]],[]],[]]
[1,5,2,4,7,6,3]=>[7,3,6,4,1,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[]],[[[]],[]],[]]
[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[],[],[[],[],[]],[]]
[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[],[],[[],[],[]],[]]
[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[],[],[[[]],[]],[]]
[1,5,2,6,4,7,3]=>[7,3,6,2,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[],[],[[[]],[]],[]]
[1,5,2,6,7,3,4]=>[7,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[],[],[[],[],[]],[]]
[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]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[]],[[[]],[]],[]]
[1,5,2,7,6,3,4]=>[7,3,6,1,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[]],[[],[],[]],[]]
[1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[]],[[[]],[]],[]]
[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[],[],[[],[[]]],[]]
[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[]],[[],[[]]],[]]
[1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[],[],[[],[[]]],[]]
[1,5,3,2,6,7,4]=>[7,3,5,6,2,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[],[],[[],[[]]],[]]
[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[]],[[],[[]]],[]]
[1,5,3,2,7,6,4]=>[7,3,5,6,1,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[]],[[],[[]]],[]]
[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[],[],[[],[[]]],[]]
[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]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[],[],[[],[[]]],[]]
[1,5,3,4,6,7,2]=>[7,3,5,4,2,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[],[],[[],[[]]],[]]
[1,5,3,4,7,2,6]=>[7,3,5,4,1,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[]],[[],[[]]],[]]
[1,5,3,4,7,6,2]=>[7,3,5,4,1,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[]],[[],[[]]],[]]
[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]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[],[],[[],[[]]],[]]
[1,5,3,6,7,2,4]=>[7,3,5,2,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[],[],[[],[[]]],[]]
[1,5,3,6,7,4,2]=>[7,3,5,2,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[],[],[[],[[]]],[]]
[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]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[]],[[],[[]]],[]]
[1,5,3,7,6,2,4]=>[7,3,5,1,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[]],[[],[[]]],[]]
[1,5,3,7,6,4,2]=>[7,3,5,1,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[]],[[],[[]]],[]]
[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]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[]],[[[[]]]],[]]
[1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[],[],[[],[],[]],[]]
[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]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[],[],[[],[[]]],[]]
[1,5,6,3,4,7,2]=>[7,3,2,5,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[],[],[[],[[]]],[]]
[1,5,6,3,7,2,4]=>[7,3,2,5,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[],[],[[],[[]]],[]]
[1,5,6,3,7,4,2]=>[7,3,2,5,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[],[],[[],[[]]],[]]
[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[],[],[[[],[]]],[]]
[1,5,6,4,2,7,3]=>[7,3,2,4,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[],[],[[[],[]]],[]]
[1,5,6,4,3,2,7]=>[7,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[],[],[[[[]]]],[]]
[1,5,6,4,3,7,2]=>[7,3,2,4,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[],[],[[[[]]]],[]]
[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]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[]],[[[],[]]],[]]
[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[]],[[[],[]]],[]]
[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]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[]],[[[[]]]],[]]
[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]=>[[],[[],[],[],[]],[]]
[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]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[[],[[[[]]],[]],[]]
[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[],[[],[],[[]]],[]]
[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]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[],[[],[],[[]]],[]]
[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[],[[[]],[[]]],[]]
[1,6,3,5,2,7,4]=>[7,2,5,3,6,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[],[[[]],[[]]],[]]
[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[],[[[]],[[]]],[]]
[1,6,3,5,4,7,2]=>[7,2,5,3,4,1,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[],[[[]],[[]]],[]]
[1,6,3,5,7,2,4]=>[7,2,5,3,1,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[],[[[]],[[]]],[]]
[1,6,3,5,7,4,2]=>[7,2,5,3,1,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[],[[[]],[[]]],[]]
[1,6,3,7,2,4,5]=>[7,2,5,1,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[],[[],[],[[]]],[]]
[1,6,3,7,2,5,4]=>[7,2,5,1,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[],[[[]],[[]]],[]]
[1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[],[[],[],[[]]],[]]
[1,6,3,7,4,5,2]=>[7,2,5,1,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[],[[],[],[[]]],[]]
[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[],[[[]],[[]]],[]]
[1,6,3,7,5,4,2]=>[7,2,5,1,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[],[[[]],[[]]],[]]
[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[],[[],[[],[]]],[]]
[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[],[[],[[],[]]],[]]
[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[],[[],[[],[]]],[]]
[1,6,4,2,5,7,3]=>[7,2,4,6,3,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[],[[],[[],[]]],[]]
[1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[],[[],[[],[]]],[]]
[1,6,4,2,7,5,3]=>[7,2,4,6,1,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[],[[],[[],[]]],[]]
[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[],[[],[[[]]]],[]]
[1,6,4,3,2,7,5]=>[7,2,4,5,6,1,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[],[[],[[[]]]],[]]
[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[],[[],[[[]]]],[]]
[1,6,4,3,5,7,2]=>[7,2,4,5,3,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[],[[],[[[]]]],[]]
[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[],[[],[[[]]]],[]]
[1,6,4,3,7,5,2]=>[7,2,4,5,1,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[],[[],[[[]]]],[]]
[1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[],[[],[[],[]]],[]]
[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]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[],[[],[[[]]]],[]]
[1,6,4,5,3,7,2]=>[7,2,4,3,5,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[],[[],[[[]]]],[]]
[1,6,4,5,7,2,3]=>[7,2,4,3,1,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[],[[],[[],[]]],[]]
[1,6,4,5,7,3,2]=>[7,2,4,3,1,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[],[[],[[[]]]],[]]
[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]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[],[[],[[[]]]],[]]
[1,6,4,7,5,2,3]=>[7,2,4,1,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[],[[],[[],[]]],[]]
[1,6,4,7,5,3,2]=>[7,2,4,1,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[],[[],[[[]]]],[]]
[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>[[],[[[],[],[]]],[]]
[1,6,5,2,3,7,4]=>[7,2,3,6,5,1,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>[[],[[[],[],[]]],[]]
[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]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[[],[[[[]]],[]],[]]
[1,6,7,3,2,4,5]=>[7,2,1,5,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[],[[],[],[[]]],[]]
[1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[],[[[]],[[]]],[]]
[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[],[[],[],[[]]],[]]
[1,6,7,3,4,5,2]=>[7,2,1,5,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[],[[],[],[[]]],[]]
[1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[],[[[]],[[]]],[]]
[1,6,7,3,5,4,2]=>[7,2,1,5,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[],[[[]],[[]]],[]]
[1,6,7,4,2,3,5]=>[7,2,1,4,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[],[[],[[],[]]],[]]
[1,6,7,4,2,5,3]=>[7,2,1,4,6,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[],[[],[[],[]]],[]]
[1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[],[[],[[[]]]],[]]
[1,6,7,4,3,5,2]=>[7,2,1,4,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[],[[],[[[]]]],[]]
[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[],[[],[[],[]]],[]]
[1,6,7,4,5,3,2]=>[7,2,1,4,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[],[[],[[[]]]],[]]
[1,6,7,5,2,3,4]=>[7,2,1,3,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>[[],[[[],[],[]]],[]]
[1,6,7,5,2,4,3]=>[7,2,1,3,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>[[],[[[[]],[]]],[]]
[1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[],[[[],[[]]]],[]]
[1,6,7,5,3,4,2]=>[7,2,1,3,5,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[],[[[],[[]]]],[]]
[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>[[],[[[[],[]]]],[]]
[1,6,7,5,4,3,2]=>[7,2,1,3,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[[],[[[[[]]]]],[]]
[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]=>[[[],[],[],[],[]],[]]
[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>[[.,[[[[.,[.,.]],.],.],.]],.]=>[[[[]],[],[],[]],[]]
[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>[[.,[[[[.,.],[.,.]],.],.]],.]=>[[[],[[]],[],[]],[]]
[1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>[[.,[[[[.,.],[.,.]],.],.]],.]=>[[[],[[]],[],[]],[]]
[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>[[.,[[[.,[[.,.],.]],.],.]],.]=>[[[[],[]],[],[]],[]]
[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[[.,[[[.,[.,[.,.]]],.],.]],.]=>[[[[[]]],[],[]],[]]
[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>[[[],[],[[]],[]],[]]
[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>[[[[]],[[]],[]],[]]
[1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>[[[],[],[[]],[]],[]]
[1,7,2,4,5,6,3]=>[7,1,6,4,3,2,5]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>[[[],[],[[]],[]],[]]
[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>[[[[]],[[]],[]],[]]
[1,7,2,4,6,5,3]=>[7,1,6,4,2,3,5]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>[[[[]],[[]],[]],[]]
[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>[[[],[[],[]],[]],[]]
[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>[[[],[[],[]],[]],[]]
[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>[[[],[[[]]],[]],[]]
[1,7,2,5,4,6,3]=>[7,1,6,3,4,2,5]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>[[[],[[[]]],[]],[]]
[1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>[[[],[[],[]],[]],[]]
[1,7,2,5,6,4,3]=>[7,1,6,3,2,4,5]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>[[[],[[[]]],[]],[]]
[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>[[.,[[.,[[[.,.],.],.]],.]],.]=>[[[[],[],[]],[]],[]]
[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[[.,[[.,[[.,[.,.]],.]],.]],.]=>[[[[[]],[]],[]],[]]
[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>[[.,[[.,[[.,.],[.,.]]],.]],.]=>[[[[],[[]]],[]],[]]
[1,7,2,6,4,5,3]=>[7,1,6,2,4,3,5]=>[[.,[[.,[[.,.],[.,.]]],.]],.]=>[[[[],[[]]],[]],[]]
[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>[[.,[[.,[.,[[.,.],.]]],.]],.]=>[[[[[],[]]],[]],[]]
[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[[[[[[]]]],[]],[]]
[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>[[[],[],[],[[]]],[]]
[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>[[[[]],[],[[]]],[]]
[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[]],[[]]],[]]
[1,7,3,2,5,6,4]=>[7,1,5,6,3,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[]],[[]]],[]]
[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>[[[[],[]],[[]]],[]]
[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[[[[[]]],[[]]],[]]
[1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>[[[],[],[],[[]]],[]]
[1,7,3,4,2,6,5]=>[7,1,5,4,6,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>[[[[]],[],[[]]],[]]
[1,7,3,4,5,2,6]=>[7,1,5,4,3,6,2]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>[[[],[],[],[[]]],[]]
[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>[[[],[],[],[[]]],[]]
[1,7,3,4,6,2,5]=>[7,1,5,4,2,6,3]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>[[[[]],[],[[]]],[]]
[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>[[[[]],[],[[]]],[]]
[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[]],[[]]],[]]
[1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[]],[[]]],[]]
[1,7,3,5,4,2,6]=>[7,1,5,3,4,6,2]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[]],[[]]],[]]
[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[]],[[]]],[]]
[1,7,3,5,6,2,4]=>[7,1,5,3,2,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[]],[[]]],[]]
[1,7,3,5,6,4,2]=>[7,1,5,3,2,4,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[]],[[]]],[]]
[1,7,3,6,2,4,5]=>[7,1,5,2,6,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>[[[[],[]],[[]]],[]]
[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[[[[[]]],[[]]],[]]
[1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>[[[[],[]],[[]]],[]]
[1,7,3,6,4,5,2]=>[7,1,5,2,4,3,6]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>[[[[],[]],[[]]],[]]
[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[[[[[]]],[[]]],[]]
[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[[[[[]]],[[]]],[]]
[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>[[[],[],[[],[]]],[]]
[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>[[[[]],[[],[]]],[]]
[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>[[[],[],[[],[]]],[]]
[1,7,4,2,5,6,3]=>[7,1,4,6,3,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>[[[],[],[[],[]]],[]]
[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>[[[[]],[[],[]]],[]]
[1,7,4,2,6,5,3]=>[7,1,4,6,2,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>[[[[]],[[],[]]],[]]
[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>[[[],[],[[[]]]],[]]
[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[[[[]],[[[]]]],[]]
[1,7,4,3,5,2,6]=>[7,1,4,5,3,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>[[[],[],[[[]]]],[]]
[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>[[[],[],[[[]]]],[]]
[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[[[[]],[[[]]]],[]]
[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[[[[]],[[[]]]],[]]
[1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>[[[],[],[[],[]]],[]]
[1,7,4,5,2,6,3]=>[7,1,4,3,6,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>[[[],[],[[],[]]],[]]
[1,7,4,5,3,2,6]=>[7,1,4,3,5,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>[[[],[],[[[]]]],[]]
[1,7,4,5,3,6,2]=>[7,1,4,3,5,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>[[[],[],[[[]]]],[]]
[1,7,4,5,6,2,3]=>[7,1,4,3,2,6,5]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>[[[],[],[[],[]]],[]]
[1,7,4,5,6,3,2]=>[7,1,4,3,2,5,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>[[[],[],[[[]]]],[]]
[1,7,4,6,2,3,5]=>[7,1,4,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>[[[[]],[[],[]]],[]]
[1,7,4,6,2,5,3]=>[7,1,4,2,6,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>[[[[]],[[],[]]],[]]
[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[[[[]],[[[]]]],[]]
[1,7,4,6,3,5,2]=>[7,1,4,2,5,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[[[[]],[[[]]]],[]]
[1,7,4,6,5,2,3]=>[7,1,4,2,3,6,5]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>[[[[]],[[],[]]],[]]
[1,7,4,6,5,3,2]=>[7,1,4,2,3,5,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[[[[]],[[[]]]],[]]
[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>[[[],[[],[],[]]],[]]
[1,7,5,2,3,6,4]=>[7,1,3,6,5,2,4]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>[[[],[[],[],[]]],[]]
[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>[[[],[[[]],[]]],[]]
[1,7,5,2,4,6,3]=>[7,1,3,6,4,2,5]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>[[[],[[[]],[]]],[]]
[1,7,5,2,6,3,4]=>[7,1,3,6,2,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>[[[],[[],[],[]]],[]]
[1,7,5,2,6,4,3]=>[7,1,3,6,2,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>[[[],[[[]],[]]],[]]
[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[],[[]]]],[]]
[1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[],[[]]]],[]]
[1,7,5,3,4,2,6]=>[7,1,3,5,4,6,2]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[],[[]]]],[]]
[1,7,5,3,4,6,2]=>[7,1,3,5,4,2,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[],[[]]]],[]]
[1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[],[[]]]],[]]
[1,7,5,3,6,4,2]=>[7,1,3,5,2,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[],[[]]]],[]]
[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>[[[],[[[],[]]]],[]]
[1,7,5,4,2,6,3]=>[7,1,3,4,6,2,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>[[[],[[[],[]]]],[]]
[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[[[],[[[[]]]]],[]]
[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[[[],[[[[]]]]],[]]
[1,7,5,4,6,2,3]=>[7,1,3,4,2,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>[[[],[[[],[]]]],[]]
[1,7,5,4,6,3,2]=>[7,1,3,4,2,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[[[],[[[[]]]]],[]]
[1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>[[[],[[],[],[]]],[]]
[1,7,5,6,2,4,3]=>[7,1,3,2,6,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>[[[],[[[]],[]]],[]]
[1,7,5,6,3,2,4]=>[7,1,3,2,5,6,4]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[],[[]]]],[]]
[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[],[[]]]],[]]
[1,7,5,6,4,2,3]=>[7,1,3,2,4,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>[[[],[[[],[]]]],[]]
[1,7,5,6,4,3,2]=>[7,1,3,2,4,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[[[],[[[[]]]]],[]]
[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>[[.,[.,[[[[.,.],.],.],.]]],.]=>[[[[],[],[],[]]],[]]
[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[[.,[.,[[[.,[.,.]],.],.]]],.]=>[[[[[]],[],[]]],[]]
[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>[[.,[.,[[[.,.],[.,.]],.]]],.]=>[[[[],[[]],[]]],[]]
[1,7,6,2,4,5,3]=>[7,1,2,6,4,3,5]=>[[.,[.,[[[.,.],[.,.]],.]]],.]=>[[[[],[[]],[]]],[]]
[1,7,6,2,5,3,4]=>[7,1,2,6,3,5,4]=>[[.,[.,[[.,[[.,.],.]],.]]],.]=>[[[[[],[]],[]]],[]]
[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[[[[[[]]],[]]],[]]
[1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>[[[[],[],[[]]]],[]]
[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[[[[[]],[[]]]],[]]
[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>[[[[],[],[[]]]],[]]
[1,7,6,3,4,5,2]=>[7,1,2,5,4,3,6]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>[[[[],[],[[]]]],[]]
[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[[[[[]],[[]]]],[]]
[1,7,6,3,5,4,2]=>[7,1,2,5,3,4,6]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[[[[[]],[[]]]],[]]
[1,7,6,4,2,3,5]=>[7,1,2,4,6,5,3]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>[[[[],[[],[]]]],[]]
[1,7,6,4,2,5,3]=>[7,1,2,4,6,3,5]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>[[[[],[[],[]]]],[]]
[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[[[[],[[[]]]]],[]]
[1,7,6,4,3,5,2]=>[7,1,2,4,5,3,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[[[[],[[[]]]]],[]]
[1,7,6,4,5,2,3]=>[7,1,2,4,3,6,5]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>[[[[],[[],[]]]],[]]
[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[[[[],[[[]]]]],[]]
[1,7,6,5,2,3,4]=>[7,1,2,3,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],.]=>[[[[[],[],[]]]],[]]
[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]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[]],[[]],[],[[]]]
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[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]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[],[[],[[]]],[[]]]
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[2,6,4,3,1,7,5]=>[6,2,4,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[],[[],[[]]],[[]]]
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[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]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[],[[[[]]]],[[]]]
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[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]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[],[[[]],[]],[[]]]
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[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]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[],[[[]],[]],[[]]]
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[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]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[],[[[],[]]],[[]]]
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[2,6,7,5,4,1,3]=>[6,2,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[],[[[[]]]],[[]]]
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[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]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[[]],[[]]],[[]]]
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[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]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[],[[]]],[[]]]
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[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]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[[]],[[]]],[[]]]
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[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]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[]]]],[[]]]
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[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]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[]]]],[[]]]
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[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]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[],[]]],[[]]]
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[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]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>[[[[],[],[]]],[[]]]
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[2,7,6,3,5,1,4]=>[6,1,2,5,3,7,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[[[[[]],[]]],[[]]]
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[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]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[[],[[]]]],[[]]]
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[2,7,6,4,5,1,3]=>[6,1,2,4,3,7,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[[],[[]]]],[[]]]
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[2,7,6,5,1,3,4]=>[6,1,2,3,7,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[[[],[]]]],[[]]]
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[2,7,6,5,3,1,4]=>[6,1,2,3,5,7,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[[[],[]]]],[[]]]
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[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]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[[]]],[[],[],[]]]
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[4,1,3,2,6,7,5]=>[4,7,5,6,2,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[],[[]],[[[]],[]]]
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[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[[]]],[[[]],[]]]
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[4,1,3,5,2,7,6]=>[4,7,5,3,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[]],[],[[[]],[]]]
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[4,1,3,6,2,7,5]=>[4,7,5,2,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[],[[]],[[[]],[]]]
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[4,1,3,7,2,5,6]=>[4,7,5,1,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[]],[[[]],[]]]
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[4,1,3,7,5,2,6]=>[4,7,5,1,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[]],[[[]],[]]]
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[4,1,5,2,7,3,6]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[]],[],[[],[],[]]]
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[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]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[]],[],[[[]],[]]]
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[4,1,5,3,7,2,6]=>[4,7,3,5,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[]],[],[[[]],[]]]
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[4,1,5,7,2,3,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[]],[],[[],[],[]]]
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[4,1,5,7,3,2,6]=>[4,7,3,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[]],[],[[[]],[]]]
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[4,1,6,3,7,2,5]=>[4,7,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[],[[]],[[[]],[]]]
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[4,1,6,7,2,3,5]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[],[[]],[[],[],[]]]
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[4,1,6,7,3,2,5]=>[4,7,2,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[],[[]],[[[]],[]]]
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[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[[]]],[[],[],[]]]
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[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]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[[]]],[[[]],[]]]
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[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]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[[]]],[[[]],[]]]
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[4,1,7,5,3,2,6]=>[4,7,1,3,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[]],[[[]],[]]]
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[4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[[]]],[[[]],[]]]
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[4,2,1,3,6,7,5]=>[4,6,7,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[],[[]],[[],[[]]]]
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[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]]],[[],[[]]]]
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[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]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[],[],[],[[],[[]]]]
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[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]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[]],[],[[[]],[]]]
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[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]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[],[[[]],[[]],[]]]
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[6,2,1,7,5,3,4]=>[2,6,7,1,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[],[[[],[]],[[]]]]
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[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]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[],[[[]],[],[[]]]]
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[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]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]
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[6,4,2,3,7,1,5]=>[2,4,6,5,1,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]
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[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]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]
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[6,4,2,5,7,1,3]=>[2,4,6,3,1,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]
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[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]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[],[[],[[[],[]]]]]
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[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]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]
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[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]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>[[],[[[],[],[],[]]]]
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[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]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[],[[[],[[]],[]]]]
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[6,5,1,4,2,3,7]=>[2,3,7,4,6,5,1]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>[[],[[[[],[]],[]]]]
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[6,5,1,7,3,2,4]=>[2,3,7,1,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[],[[[],[[]],[]]]]
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[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]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]
[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]
[6,7,3,5,4,2,1]=>[2,1,5,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]
[6,7,4,1,2,3,5]=>[2,1,4,7,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]
[6,7,4,1,2,5,3]=>[2,1,4,7,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]
[6,7,4,1,3,2,5]=>[2,1,4,7,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]
[6,7,4,1,3,5,2]=>[2,1,4,7,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]
[6,7,4,1,5,2,3]=>[2,1,4,7,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]
[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]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]
[6,7,4,2,3,1,5]=>[2,1,4,6,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]
[6,7,4,2,3,5,1]=>[2,1,4,6,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]
[6,7,4,2,5,1,3]=>[2,1,4,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]
[6,7,4,2,5,3,1]=>[2,1,4,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]
[6,7,4,3,1,2,5]=>[2,1,4,5,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[],[[],[[[],[]]]]]
[6,7,4,3,1,5,2]=>[2,1,4,5,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[],[[],[[[],[]]]]]
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[7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]=>[[[[[],[]],[]],[]]]
[7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[[[[[[]]],[]],[]]]
[7,1,6,3,2,4,5]=>[1,7,2,5,6,4,3]=>[.,[[.,[[[.,.],.],[.,.]]],.]]=>[[[[],[],[[]]],[]]]
[7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[[[[[]],[[]]],[]]]
[7,1,6,3,4,2,5]=>[1,7,2,5,4,6,3]=>[.,[[.,[[[.,.],.],[.,.]]],.]]=>[[[[],[],[[]]],[]]]
[7,1,6,3,4,5,2]=>[1,7,2,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],.]]=>[[[[],[],[[]]],[]]]
[7,1,6,3,5,2,4]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[[[[[]],[[]]],[]]]
[7,1,6,3,5,4,2]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[[[[[]],[[]]],[]]]
[7,1,6,4,2,3,5]=>[1,7,2,4,6,5,3]=>[.,[[.,[[.,.],[[.,.],.]]],.]]=>[[[[],[[],[]]],[]]]
[7,1,6,4,2,5,3]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]=>[[[[],[[],[]]],[]]]
[7,1,6,4,3,2,5]=>[1,7,2,4,5,6,3]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[[[[],[[[]]]],[]]]
[7,1,6,4,3,5,2]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[[[[],[[[]]]],[]]]
[7,1,6,4,5,2,3]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]=>[[[[],[[],[]]],[]]]
[7,1,6,4,5,3,2]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[[[[],[[[]]]],[]]]
[7,1,6,5,2,3,4]=>[1,7,2,3,6,5,4]=>[.,[[.,[.,[[[.,.],.],.]]],.]]=>[[[[[],[],[]]],[]]]
[7,1,6,5,2,4,3]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[[[[[[]],[]]],[]]]
[7,1,6,5,3,2,4]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[[[[[],[[]]]],[]]]
[7,1,6,5,3,4,2]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[[[[[],[[]]]],[]]]
[7,1,6,5,4,2,3]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[[[[[[],[]]]],[]]]
[7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[[[[[[[]]]]],[]]]
[7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>[[[],[],[],[],[[]]]]
[7,2,1,3,4,6,5]=>[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[]],[],[],[[]]]]
[7,2,1,3,5,4,6]=>[1,6,7,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[],[[]],[],[[]]]]
[7,2,1,3,5,6,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[],[[]],[],[[]]]]
[7,2,1,3,6,4,5]=>[1,6,7,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[],[]],[],[[]]]]
[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[[]]],[],[[]]]]
[7,2,1,4,3,5,6]=>[1,6,7,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]
[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]
[7,2,1,4,5,3,6]=>[1,6,7,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]
[7,2,1,4,5,6,3]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]
[7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]
[7,2,1,4,6,5,3]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]
[7,2,1,5,3,4,6]=>[1,6,7,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[[],[]],[[]]]]
[7,2,1,5,3,6,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[[],[]],[[]]]]
[7,2,1,5,4,3,6]=>[1,6,7,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[[[]]],[[]]]]
[7,2,1,5,4,6,3]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[[[]]],[[]]]]
[7,2,1,5,6,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[[],[]],[[]]]]
[7,2,1,5,6,4,3]=>[1,6,7,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[[[]]],[[]]]]
[7,2,1,6,3,4,5]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[[],[],[]],[[]]]]
[7,2,1,6,3,5,4]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[[[]],[]],[[]]]]
[7,2,1,6,4,3,5]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[[],[[]]],[[]]]]
[7,2,1,6,4,5,3]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[[],[[]]],[[]]]]
[7,2,1,6,5,3,4]=>[1,6,7,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[[[[],[]]],[[]]]]
[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[[[[]]]],[[]]]]
[7,2,3,1,4,5,6]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>[[[],[],[],[],[[]]]]
[7,2,3,1,4,6,5]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[]],[],[],[[]]]]
[7,2,3,1,5,4,6]=>[1,6,5,7,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[],[[]],[],[[]]]]
[7,2,3,1,5,6,4]=>[1,6,5,7,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[],[[]],[],[[]]]]
[7,2,3,1,6,4,5]=>[1,6,5,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[],[]],[],[[]]]]
[7,2,3,1,6,5,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[[]]],[],[[]]]]
[7,2,3,4,1,5,6]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>[[[],[],[],[],[[]]]]
[7,2,3,4,1,6,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[]],[],[],[[]]]]
[7,2,3,4,5,1,6]=>[1,6,5,4,3,7,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>[[[],[],[],[],[[]]]]
[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>[[[],[],[],[],[[]]]]
[7,2,3,4,6,1,5]=>[1,6,5,4,2,7,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[]],[],[],[[]]]]
[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>[[[[]],[],[],[[]]]]
[7,2,3,5,1,4,6]=>[1,6,5,3,7,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[],[[]],[],[[]]]]
[7,2,3,5,1,6,4]=>[1,6,5,3,7,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[],[[]],[],[[]]]]
[7,2,3,5,4,1,6]=>[1,6,5,3,4,7,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[],[[]],[],[[]]]]
[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[],[[]],[],[[]]]]
[7,2,3,5,6,1,4]=>[1,6,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[],[[]],[],[[]]]]
[7,2,3,5,6,4,1]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>[[[],[[]],[],[[]]]]
[7,2,3,6,1,4,5]=>[1,6,5,2,7,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[],[]],[],[[]]]]
[7,2,3,6,1,5,4]=>[1,6,5,2,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[[]]],[],[[]]]]
[7,2,3,6,4,1,5]=>[1,6,5,2,4,7,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[],[]],[],[[]]]]
[7,2,3,6,4,5,1]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[],[]],[],[[]]]]
[7,2,3,6,5,1,4]=>[1,6,5,2,3,7,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[[]]],[],[[]]]]
[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[[[[[]]],[],[[]]]]
[7,2,4,1,3,5,6]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]
[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]
[7,2,4,1,5,3,6]=>[1,6,4,7,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]
[7,2,4,1,5,6,3]=>[1,6,4,7,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]
[7,2,4,1,6,3,5]=>[1,6,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]
[7,2,4,1,6,5,3]=>[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]
[7,2,4,3,1,5,6]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]
[7,2,4,3,1,6,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]
[7,2,4,3,5,1,6]=>[1,6,4,5,3,7,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]
[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]
[7,2,4,3,6,1,5]=>[1,6,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]
[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]
[7,2,4,5,1,3,6]=>[1,6,4,3,7,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]
[7,2,4,5,1,6,3]=>[1,6,4,3,7,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]
[7,2,4,5,3,1,6]=>[1,6,4,3,5,7,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]
[7,2,4,5,3,6,1]=>[1,6,4,3,5,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]
[7,2,4,5,6,1,3]=>[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]
[7,2,4,5,6,3,1]=>[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]
[7,2,4,6,1,3,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]
[7,2,4,6,1,5,3]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]
[7,2,4,6,3,1,5]=>[1,6,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]
[7,2,4,6,3,5,1]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]
[7,2,4,6,5,1,3]=>[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]
[7,2,4,6,5,3,1]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]
[7,2,5,1,3,4,6]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[[],[]],[[]]]]
[7,2,5,1,3,6,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[[],[]],[[]]]]
[7,2,5,1,4,3,6]=>[1,6,3,7,4,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[[[]]],[[]]]]
[7,2,5,1,4,6,3]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[[[]]],[[]]]]
[7,2,5,1,6,3,4]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[[],[]],[[]]]]
[7,2,5,1,6,4,3]=>[1,6,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[[[]]],[[]]]]
[7,2,5,3,1,4,6]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[[],[]],[[]]]]
[7,2,5,3,1,6,4]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[[],[]],[[]]]]
[7,2,5,3,4,1,6]=>[1,6,3,5,4,7,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[[],[]],[[]]]]
[7,2,5,3,4,6,1]=>[1,6,3,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[[],[]],[[]]]]
[7,2,5,3,6,1,4]=>[1,6,3,5,2,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[[],[]],[[]]]]
[7,2,5,3,6,4,1]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[[],[]],[[]]]]
[7,2,5,4,1,3,6]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[[[]]],[[]]]]
[7,2,5,4,1,6,3]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[[[]]],[[]]]]
[7,2,5,4,3,1,6]=>[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[[[]]],[[]]]]
[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[[[]]],[[]]]]
[7,2,5,4,6,1,3]=>[1,6,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[[[]]],[[]]]]
[7,2,5,4,6,3,1]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[[[]]],[[]]]]
[7,2,5,6,1,3,4]=>[1,6,3,2,7,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[[],[]],[[]]]]
[7,2,5,6,1,4,3]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[[[]]],[[]]]]
[7,2,5,6,3,1,4]=>[1,6,3,2,5,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[[],[]],[[]]]]
[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[[],[]],[[]]]]
[7,2,5,6,4,1,3]=>[1,6,3,2,4,7,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[[[]]],[[]]]]
[7,2,5,6,4,3,1]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[[[]]],[[]]]]
[7,2,6,1,3,4,5]=>[1,6,2,7,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[[],[],[]],[[]]]]
[7,2,6,1,3,5,4]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[[[]],[]],[[]]]]
[7,2,6,1,4,3,5]=>[1,6,2,7,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[[],[[]]],[[]]]]
[7,2,6,1,4,5,3]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[[],[[]]],[[]]]]
[7,2,6,1,5,3,4]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[[[[],[]]],[[]]]]
[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[[[[]]]],[[]]]]
[7,2,6,3,1,4,5]=>[1,6,2,5,7,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[[],[],[]],[[]]]]
[7,2,6,3,1,5,4]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[[[]],[]],[[]]]]
[7,2,6,3,4,1,5]=>[1,6,2,5,4,7,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[[],[],[]],[[]]]]
[7,2,6,3,4,5,1]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[[],[],[]],[[]]]]
[7,2,6,3,5,1,4]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[[[]],[]],[[]]]]
[7,2,6,3,5,4,1]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[[[]],[]],[[]]]]
[7,2,6,4,1,3,5]=>[1,6,2,4,7,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[[],[[]]],[[]]]]
[7,2,6,4,1,5,3]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[[],[[]]],[[]]]]
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[7,4,1,2,5,6,3]=>[1,4,7,6,3,2,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>[[[],[],[[],[],[]]]]
[7,4,1,2,6,3,5]=>[1,4,7,6,2,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>[[[[]],[[],[],[]]]]
[7,4,1,2,6,5,3]=>[1,4,7,6,2,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>[[[[]],[[],[],[]]]]
[7,4,1,3,2,5,6]=>[1,4,7,5,6,3,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>[[[],[],[[[]],[]]]]
[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[[]],[[[]],[]]]]
[7,4,1,3,5,2,6]=>[1,4,7,5,3,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>[[[],[],[[[]],[]]]]
[7,4,1,3,5,6,2]=>[1,4,7,5,3,2,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>[[[],[],[[[]],[]]]]
[7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[[]],[[[]],[]]]]
[7,4,1,3,6,5,2]=>[1,4,7,5,2,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[[]],[[[]],[]]]]
[7,4,1,5,2,3,6]=>[1,4,7,3,6,5,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>[[[],[],[[],[],[]]]]
[7,4,1,5,2,6,3]=>[1,4,7,3,6,2,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>[[[],[],[[],[],[]]]]
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[7,4,1,6,2,3,5]=>[1,4,7,2,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>[[[[]],[[],[],[]]]]
[7,4,1,6,2,5,3]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>[[[[]],[[],[],[]]]]
[7,4,1,6,3,2,5]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[[]],[[[]],[]]]]
[7,4,1,6,3,5,2]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[[]],[[[]],[]]]]
[7,4,1,6,5,2,3]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>[[[[]],[[],[],[]]]]
[7,4,1,6,5,3,2]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[[[[]],[[[]],[]]]]
[7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>[[[],[],[[],[[]]]]]
[7,4,2,1,3,6,5]=>[1,4,6,7,5,2,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,1,5,3,6]=>[1,4,6,7,3,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>[[[],[],[[],[[]]]]]
[7,4,2,1,5,6,3]=>[1,4,6,7,3,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>[[[],[],[[],[[]]]]]
[7,4,2,1,6,3,5]=>[1,4,6,7,2,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,1,6,5,3]=>[1,4,6,7,2,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,3,1,5,6]=>[1,4,6,5,7,3,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>[[[],[],[[],[[]]]]]
[7,4,2,3,1,6,5]=>[1,4,6,5,7,2,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,3,5,1,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>[[[],[],[[],[[]]]]]
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[7,4,2,3,6,1,5]=>[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,3,6,5,1]=>[1,4,6,5,2,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,5,1,3,6]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>[[[],[],[[],[[]]]]]
[7,4,2,5,1,6,3]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>[[[],[],[[],[[]]]]]
[7,4,2,5,3,1,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>[[[],[],[[],[[]]]]]
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[7,4,2,6,1,3,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[[[[]],[[],[[]]]]]
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[7,5,1,4,2,6,3]=>[1,3,7,4,6,2,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>[[[],[[[],[]],[]]]]
[7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[[[],[[[[]]],[]]]]
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[7,5,1,4,6,2,3]=>[1,3,7,4,2,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>[[[],[[[],[]],[]]]]
[7,5,1,4,6,3,2]=>[1,3,7,4,2,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[[[],[[[[]]],[]]]]
[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]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>[[[],[[],[[]],[]]]]
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[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]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[[],[[],[],[[]]]]]
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[7,5,2,3,6,1,4]=>[1,3,6,5,2,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[[],[[],[],[[]]]]]
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[7,5,2,4,3,1,6]=>[1,3,6,4,5,7,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[[[],[[[]],[[]]]]]
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[7,5,2,6,1,3,4]=>[1,3,6,2,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[[],[[],[],[[]]]]]
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[7,5,2,6,3,1,4]=>[1,3,6,2,5,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>[[[],[[],[],[[]]]]]
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[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]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[[[],[[],[[[]]]]]]
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[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]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>[[[[],[],[],[[]]]]]
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[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]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[[[[[[]]],[[]]]]]
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[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]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[[[[],[[[],[]]]]]]
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[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]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[],[[],[],[[],[[]]]]]
[6,5,4,7,8,2,3,1]=>[3,4,5,2,1,7,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[],[],[[[[],[[]]]]]]
[6,4,5,7,8,2,3,1]=>[3,5,4,2,1,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[],[],[[],[[],[[]]]]]
[5,4,6,7,8,2,3,1]=>[4,5,3,2,1,7,6,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[],[],[],[[[],[[]]]]]
[4,5,6,7,8,2,3,1]=>[5,4,3,2,1,7,6,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[],[],[],[],[[],[[]]]]
[8,7,6,5,3,2,4,1]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[[[[[[],[[[]]]]]]]]
[8,6,7,5,3,2,4,1]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[[],[[[],[[[]]]]]]]
[7,6,8,5,3,2,4,1]=>[2,3,1,4,6,7,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[],[[[[],[[[]]]]]]]
[8,7,5,6,3,2,4,1]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[[[],[[],[[[]]]]]]]
[7,8,5,6,3,2,4,1]=>[2,1,4,3,6,7,5,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[],[[],[[[]]]]]]
[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[[],[[[],[[[]]]]]]]
[8,5,6,7,3,2,4,1]=>[1,4,3,2,6,7,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[[],[],[[],[[[]]]]]]
[7,6,5,8,3,2,4,1]=>[2,3,4,1,6,7,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[],[[[[],[[[]]]]]]]
[6,7,5,8,3,2,4,1]=>[3,2,4,1,6,7,5,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[],[],[[[],[[[]]]]]]
[5,6,7,8,3,2,4,1]=>[4,3,2,1,6,7,5,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[],[],[],[[],[[[]]]]]
[8,7,6,5,2,3,4,1]=>[1,2,3,4,7,6,5,8]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[[[[[[],[],[[]]]]]]]
[8,6,7,5,2,3,4,1]=>[1,3,2,4,7,6,5,8]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[[[],[[[],[],[[]]]]]]
[6,7,8,5,2,3,4,1]=>[3,2,1,4,7,6,5,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[],[],[[[],[],[[]]]]]
[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[[[],[],[[],[],[[]]]]]
[7,6,5,8,2,3,4,1]=>[2,3,4,1,7,6,5,8]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[[],[[[[],[],[[]]]]]]
[6,7,5,8,2,3,4,1]=>[3,2,4,1,7,6,5,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[],[],[[[],[],[[]]]]]
[5,6,7,8,2,3,4,1]=>[4,3,2,1,7,6,5,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[],[],[],[[],[],[[]]]]
[8,7,6,4,3,2,5,1]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[[[[],[[[[]]]]]]]]
[8,6,7,4,3,2,5,1]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[],[[],[[[[]]]]]]]
[7,6,8,4,3,2,5,1]=>[2,3,1,5,6,7,4,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[],[[[],[[[[]]]]]]]
[8,7,6,3,4,2,5,1]=>[1,2,3,6,5,7,4,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[[[[[],[],[[[]]]]]]]
[8,6,7,3,4,2,5,1]=>[1,3,2,6,5,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[[[],[[],[],[[[]]]]]]
[7,6,8,3,4,2,5,1]=>[2,3,1,6,5,7,4,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[[],[[[],[],[[[]]]]]]
[6,7,8,3,4,2,5,1]=>[3,2,1,6,5,7,4,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[],[],[[],[],[[[]]]]]
[8,7,6,4,2,3,5,1]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[[[[],[[],[[]]]]]]]
[8,6,7,4,2,3,5,1]=>[1,3,2,5,7,6,4,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[],[[],[[],[[]]]]]]
[6,7,8,4,2,3,5,1]=>[3,2,1,5,7,6,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[],[],[[],[[],[[]]]]]
[8,7,6,3,2,4,5,1]=>[1,2,3,6,7,5,4,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[[[[[],[],[[[]]]]]]]
[7,8,6,3,2,4,5,1]=>[2,1,3,6,7,5,4,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[[],[[[],[],[[[]]]]]]
[8,6,7,3,2,4,5,1]=>[1,3,2,6,7,5,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[[[],[[],[],[[[]]]]]]
[7,6,8,3,2,4,5,1]=>[2,3,1,6,7,5,4,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[[],[[[],[],[[[]]]]]]
[8,7,6,2,3,4,5,1]=>[1,2,3,7,6,5,4,8]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[[[[[],[],[],[[]]]]]]
[8,6,7,2,3,4,5,1]=>[1,3,2,7,6,5,4,8]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>[[[],[[],[],[],[[]]]]]
[6,7,8,2,3,4,5,1]=>[3,2,1,7,6,5,4,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[],[],[[],[],[],[[]]]]
[8,7,5,4,3,2,6,1]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[[[],[[[[[]]]]]]]]
[7,8,5,4,3,2,6,1]=>[2,1,4,5,6,7,3,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[],[[],[[[[[]]]]]]]
[8,7,4,5,3,2,6,1]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[[[[],[],[[[[]]]]]]]
[7,8,4,5,3,2,6,1]=>[2,1,5,4,6,7,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[],[[],[],[[[[]]]]]]
[8,7,5,3,4,2,6,1]=>[1,2,4,6,5,7,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[[[],[[],[[[]]]]]]]
[8,7,4,3,5,2,6,1]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[[[[],[],[[[[]]]]]]]
[8,7,5,3,2,4,6,1]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[[[],[[],[[[]]]]]]]
[8,7,4,3,2,5,6,1]=>[1,2,5,6,7,4,3,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[[[[],[],[[[[]]]]]]]
[7,8,4,3,2,5,6,1]=>[2,1,5,6,7,4,3,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[],[[],[],[[[[]]]]]]
[8,7,4,2,3,5,6,1]=>[1,2,5,7,6,4,3,8]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[[[[],[],[[],[[]]]]]]
[8,7,3,2,4,5,6,1]=>[1,2,6,7,5,4,3,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[[[[],[],[],[[[]]]]]]
[7,8,3,2,4,5,6,1]=>[2,1,6,7,5,4,3,8]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[[],[[],[],[],[[[]]]]]
[8,7,2,3,4,5,6,1]=>[1,2,7,6,5,4,3,8]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>[[[[],[],[],[],[[]]]]]
[7,8,2,3,4,5,6,1]=>[2,1,7,6,5,4,3,8]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[[],[[],[],[],[],[[]]]]
[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[],[[[[[[]]]]]]]]
[8,5,6,4,3,2,7,1]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[[[],[],[[[[[]]]]]]]
[8,5,4,6,3,2,7,1]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[[[],[],[[[[[]]]]]]]
[8,4,5,6,3,2,7,1]=>[1,5,4,3,6,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[[[],[],[],[[[[]]]]]]
[8,6,5,3,4,2,7,1]=>[1,3,4,6,5,7,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[[],[[[],[[[]]]]]]]
[8,5,6,3,4,2,7,1]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[[],[],[[],[[[]]]]]]
[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[],[[],[[[[]]]]]]]
[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[[[],[[],[],[[[]]]]]]
[8,5,4,3,6,2,7,1]=>[1,4,5,6,3,7,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[[[],[],[[[[[]]]]]]]
[8,4,5,3,6,2,7,1]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[[[],[],[],[[[[]]]]]]
[8,6,5,4,2,3,7,1]=>[1,3,4,5,7,6,2,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[[],[[[[],[[]]]]]]]
[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[[[],[],[[[],[[]]]]]]
[8,6,4,5,2,3,7,1]=>[1,3,5,4,7,6,2,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[],[[],[[],[[]]]]]]
[8,6,5,3,2,4,7,1]=>[1,3,4,6,7,5,2,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[[[],[[[],[[[]]]]]]]
[8,6,4,3,2,5,7,1]=>[1,3,5,6,7,4,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[],[[],[[[[]]]]]]]
[8,6,3,4,2,5,7,1]=>[1,3,6,5,7,4,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[[[],[[],[],[[[]]]]]]
[8,6,4,2,3,5,7,1]=>[1,3,5,7,6,4,2,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[],[[],[[],[[]]]]]]
[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[[[],[],[[[[[]]]]]]]
[8,4,5,3,2,6,7,1]=>[1,5,4,6,7,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[[[],[],[],[[[[]]]]]]
[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[[],[],[[],[[[]]]]]]
[8,4,3,5,2,6,7,1]=>[1,5,6,4,7,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[[[],[],[],[[[[]]]]]]
[8,5,3,2,4,6,7,1]=>[1,4,6,7,5,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[[],[],[[],[[[]]]]]]
[8,5,2,3,4,6,7,1]=>[1,4,7,6,5,3,2,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[[[],[],[[],[],[[]]]]]
[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[[[],[],[],[[[[]]]]]]
[8,3,4,2,5,6,7,1]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[[[],[],[],[],[[[]]]]]
[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[[[],[],[],[],[[[]]]]]
[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[[[],[],[],[],[],[[]]]]
[7,6,5,4,3,2,8,1]=>[2,3,4,5,6,7,1,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[[],[[[[[[[]]]]]]]]
[6,7,5,4,3,2,8,1]=>[3,2,4,5,6,7,1,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[],[],[[[[[[]]]]]]]
[7,5,6,4,3,2,8,1]=>[2,4,3,5,6,7,1,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[],[[],[[[[[]]]]]]]
[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]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[],[[[[[]]]]]]
[7,6,4,5,3,2,8,1]=>[2,3,5,4,6,7,1,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[],[[[],[[[[]]]]]]]
[7,4,5,6,3,2,8,1]=>[2,5,4,3,6,7,1,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[],[[],[],[[[[]]]]]]
[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]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[],[[[[]]]]]
[7,6,5,3,4,2,8,1]=>[2,3,4,6,5,7,1,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[],[[[[],[[[]]]]]]]
[7,5,6,3,4,2,8,1]=>[2,4,3,6,5,7,1,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[],[[],[[[]]]]]]
[6,5,7,3,4,2,8,1]=>[3,4,2,6,5,7,1,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[],[],[[[],[[[]]]]]]
[5,6,7,3,4,2,8,1]=>[4,3,2,6,5,7,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[],[],[],[[],[[[]]]]]
[7,6,4,3,5,2,8,1]=>[2,3,5,6,4,7,1,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[],[[[],[[[[]]]]]]]
[6,7,3,4,5,2,8,1]=>[3,2,6,5,4,7,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[],[],[[],[],[[[]]]]]
[7,5,4,3,6,2,8,1]=>[2,4,5,6,3,7,1,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[],[[],[[[[[]]]]]]]
[7,4,5,3,6,2,8,1]=>[2,5,4,6,3,7,1,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[],[[],[],[[[[]]]]]]
[6,5,4,3,7,2,8,1]=>[3,4,5,6,2,7,1,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[],[],[[[[[[]]]]]]]
[5,6,4,3,7,2,8,1]=>[4,3,5,6,2,7,1,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[],[[[[[]]]]]]
[6,4,5,3,7,2,8,1]=>[3,5,4,6,2,7,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[],[],[[],[[[[]]]]]]
[5,4,6,3,7,2,8,1]=>[4,5,3,6,2,7,1,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[],[[[[[]]]]]]
[4,5,6,3,7,2,8,1]=>[5,4,3,6,2,7,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[],[[[[]]]]]
[6,5,3,4,7,2,8,1]=>[3,4,6,5,2,7,1,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[],[],[[[],[[[]]]]]]
[6,4,3,5,7,2,8,1]=>[3,5,6,4,2,7,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[],[],[[],[[[[]]]]]]
[6,3,4,5,7,2,8,1]=>[3,6,5,4,2,7,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[],[],[[],[],[[[]]]]]
[4,5,3,6,7,2,8,1]=>[5,4,6,3,2,7,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[],[[[[]]]]]
[4,3,5,6,7,2,8,1]=>[5,6,4,3,2,7,1,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[],[[[[]]]]]
[3,4,5,6,7,2,8,1]=>[6,5,4,3,2,7,1,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[],[],[],[],[],[[[]]]]
[7,6,5,4,2,3,8,1]=>[2,3,4,5,7,6,1,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[[],[[[[[],[[]]]]]]]
[6,5,7,4,2,3,8,1]=>[3,4,2,5,7,6,1,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[],[],[[[[],[[]]]]]]
[5,6,7,4,2,3,8,1]=>[4,3,2,5,7,6,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[],[],[],[[[],[[]]]]]
[6,7,4,5,2,3,8,1]=>[3,2,5,4,7,6,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[],[],[[],[[],[[]]]]]
[6,5,4,7,2,3,8,1]=>[3,4,5,2,7,6,1,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[],[],[[[[],[[]]]]]]
[5,6,4,7,2,3,8,1]=>[4,3,5,2,7,6,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[],[],[],[[[],[[]]]]]
[6,4,5,7,2,3,8,1]=>[3,5,4,2,7,6,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[],[],[[],[[],[[]]]]]
[5,4,6,7,2,3,8,1]=>[4,5,3,2,7,6,1,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[],[],[],[[[],[[]]]]]
[4,5,6,7,2,3,8,1]=>[5,4,3,2,7,6,1,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[],[],[],[],[[],[[]]]]
[7,6,5,3,2,4,8,1]=>[2,3,4,6,7,5,1,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[],[[[[],[[[]]]]]]]
[6,7,5,3,2,4,8,1]=>[3,2,4,6,7,5,1,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[],[],[[[],[[[]]]]]]
[6,5,7,3,2,4,8,1]=>[3,4,2,6,7,5,1,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[[],[],[[[],[[[]]]]]]
[5,6,7,3,2,4,8,1]=>[4,3,2,6,7,5,1,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[],[],[],[[],[[[]]]]]
[7,6,5,2,3,4,8,1]=>[2,3,4,7,6,5,1,8]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[[],[[[[],[],[[]]]]]]
[6,5,7,2,3,4,8,1]=>[3,4,2,7,6,5,1,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[],[],[[[],[],[[]]]]]
[7,6,4,3,2,5,8,1]=>[2,3,5,6,7,4,1,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[],[[[],[[[[]]]]]]]
[6,7,4,3,2,5,8,1]=>[3,2,5,6,7,4,1,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[],[],[[],[[[[]]]]]]
[7,6,3,4,2,5,8,1]=>[2,3,6,5,7,4,1,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[[],[[[],[],[[[]]]]]]
[6,7,3,4,2,5,8,1]=>[3,2,6,5,7,4,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[],[],[[],[],[[[]]]]]
[7,6,4,2,3,5,8,1]=>[2,3,5,7,6,4,1,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[[],[[[],[[],[[]]]]]]
[6,7,4,2,3,5,8,1]=>[3,2,5,7,6,4,1,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[],[],[[],[[],[[]]]]]
[7,6,3,2,4,5,8,1]=>[2,3,6,7,5,4,1,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[[],[[[],[],[[[]]]]]]
[6,7,3,2,4,5,8,1]=>[3,2,6,7,5,4,1,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[],[],[[],[],[[[]]]]]
[7,6,2,3,4,5,8,1]=>[2,3,7,6,5,4,1,8]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>[[],[[[],[],[],[[]]]]]
[6,7,2,3,4,5,8,1]=>[3,2,7,6,5,4,1,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[],[],[[],[],[],[[]]]]
[7,5,4,3,2,6,8,1]=>[2,4,5,6,7,3,1,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[],[[],[[[[[]]]]]]]
[7,4,5,3,2,6,8,1]=>[2,5,4,6,7,3,1,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[],[[],[],[[[[]]]]]]
[7,4,3,5,2,6,8,1]=>[2,5,6,4,7,3,1,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[],[[],[],[[[[]]]]]]
[7,4,5,2,3,6,8,1]=>[2,5,4,7,6,3,1,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[],[[],[],[[],[[]]]]]
[7,5,3,2,4,6,8,1]=>[2,4,6,7,5,3,1,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[],[[],[[[]]]]]]
[7,4,3,2,5,6,8,1]=>[2,5,6,7,4,3,1,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[],[[],[],[[[[]]]]]]
[7,4,2,3,5,6,8,1]=>[2,5,7,6,4,3,1,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[],[[],[],[[],[[]]]]]
[7,3,2,4,5,6,8,1]=>[2,6,7,5,4,3,1,8]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[[],[[],[],[],[[[]]]]]
[7,2,3,4,5,6,8,1]=>[2,7,6,5,4,3,1,8]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[[],[[],[],[],[],[[]]]]
[6,5,4,3,2,7,8,1]=>[3,4,5,6,7,2,1,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[],[],[[[[[[]]]]]]]
[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]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[[[[],[[[[],[]]]]]]]
[7,8,5,6,4,3,1,2]=>[2,1,4,3,5,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[],[[],[[[[],[]]]]]]
[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]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[],[],[],[[[[],[]]]]]
[8,7,6,4,5,3,1,2]=>[1,2,3,5,4,6,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[[[[[],[[[],[]]]]]]]
[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[[],[[[],[[[],[]]]]]]
[7,8,5,4,6,3,1,2]=>[2,1,4,5,3,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[],[[],[[[[],[]]]]]]
[8,7,4,5,6,3,1,2]=>[1,2,5,4,3,6,8,7]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[[[[],[],[[[],[]]]]]]
[7,8,4,5,6,3,1,2]=>[2,1,5,4,3,6,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[[],[[],[],[[[],[]]]]]
[8,6,4,5,7,3,1,2]=>[1,3,5,4,2,6,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[[],[[],[[[],[]]]]]]
[8,5,4,6,7,3,1,2]=>[1,4,5,3,2,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>[[[],[],[[[[],[]]]]]]
[7,6,5,4,8,3,1,2]=>[2,3,4,5,1,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[[],[[[[[[],[]]]]]]]
[7,5,6,4,8,3,1,2]=>[2,4,3,5,1,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[],[[],[[[[],[]]]]]]
[7,6,4,5,8,3,1,2]=>[2,3,5,4,1,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[[],[[[],[[[],[]]]]]]
[6,7,4,5,8,3,1,2]=>[3,2,5,4,1,6,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[],[],[[],[[[],[]]]]]
[7,5,4,6,8,3,1,2]=>[2,4,5,3,1,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[],[[],[[[[],[]]]]]]
[7,4,5,6,8,3,1,2]=>[2,5,4,3,1,6,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[[],[[],[],[[[],[]]]]]
[6,5,4,7,8,3,1,2]=>[3,4,5,2,1,6,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[[],[],[[[[[],[]]]]]]
[5,6,4,7,8,3,1,2]=>[4,3,5,2,1,6,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[],[],[],[[[[],[]]]]]
[5,4,6,7,8,3,1,2]=>[4,5,3,2,1,6,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[],[],[],[[[[],[]]]]]
[4,5,6,7,8,3,1,2]=>[5,4,3,2,1,6,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[[],[],[],[],[[[],[]]]]
[8,7,6,5,3,4,1,2]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[[[[[[],[[],[]]]]]]]
[7,8,6,5,3,4,1,2]=>[2,1,3,4,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[[],[[[[],[[],[]]]]]]
[8,6,7,5,3,4,1,2]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[[[],[[[],[[],[]]]]]]
[7,6,8,5,3,4,1,2]=>[2,3,1,4,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[[],[[[[],[[],[]]]]]]
[8,7,5,6,3,4,1,2]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[[[],[[],[[],[]]]]]]
[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[],[[],[[],[]]]]]
[8,6,5,7,3,4,1,2]=>[1,3,4,2,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[[[],[[[],[[],[]]]]]]
[7,6,5,8,3,4,1,2]=>[2,3,4,1,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[[],[[[[],[[],[]]]]]]
[6,7,5,8,3,4,1,2]=>[3,2,4,1,6,5,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[[],[],[[[],[[],[]]]]]
[7,5,6,8,3,4,1,2]=>[2,4,3,1,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[],[[],[[],[]]]]]
[6,5,7,8,3,4,1,2]=>[3,4,2,1,6,5,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[[],[],[[[],[[],[]]]]]
[5,6,7,8,3,4,1,2]=>[4,3,2,1,6,5,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[],[],[],[[],[[],[]]]]
[8,7,6,4,3,5,1,2]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[[[[[],[[[],[]]]]]]]
[7,8,6,4,3,5,1,2]=>[2,1,3,5,6,4,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[[],[[[],[[[],[]]]]]]
[8,6,7,4,3,5,1,2]=>[1,3,2,5,6,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[[],[[],[[[],[]]]]]]
[8,7,6,3,4,5,1,2]=>[1,2,3,6,5,4,8,7]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[[[[[],[],[[],[]]]]]]
[7,8,6,3,4,5,1,2]=>[2,1,3,6,5,4,8,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[[],[[[],[],[[],[]]]]]
[8,6,7,3,4,5,1,2]=>[1,3,2,6,5,4,8,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[[],[[],[],[[],[]]]]]
[7,6,8,3,4,5,1,2]=>[2,3,1,6,5,4,8,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[[],[[[],[],[[],[]]]]]
[6,7,8,3,4,5,1,2]=>[3,2,1,6,5,4,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[],[],[[],[],[[],[]]]]
[8,7,5,4,3,6,1,2]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[[[[],[[[[],[]]]]]]]
[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[],[[],[[[[],[]]]]]]
[7,8,4,5,3,6,1,2]=>[2,1,5,4,6,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[[],[[],[],[[[],[]]]]]
[7,8,5,3,4,6,1,2]=>[2,1,4,6,5,3,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[],[[],[[],[]]]]]
[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[[],[[],[],[[[],[]]]]]
[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[[],[[],[],[],[[],[]]]]
[8,6,5,4,3,7,1,2]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[[[],[[[[[],[]]]]]]]
[8,6,3,4,5,7,1,2]=>[1,3,6,5,4,2,8,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[[],[[],[],[[],[]]]]]
[8,4,5,3,6,7,1,2]=>[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[[[],[],[],[[[],[]]]]]
[8,4,3,5,6,7,1,2]=>[1,5,6,4,3,2,8,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[[[],[],[],[[[],[]]]]]
[8,3,4,5,6,7,1,2]=>[1,6,5,4,3,2,8,7]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[[[],[],[],[],[[],[]]]]
[7,6,5,4,3,8,1,2]=>[2,3,4,5,6,1,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[[],[[[[[[],[]]]]]]]
[7,5,6,4,3,8,1,2]=>[2,4,3,5,6,1,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[],[[],[[[[],[]]]]]]
[6,5,7,4,3,8,1,2]=>[3,4,2,5,6,1,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[[],[],[[[[[],[]]]]]]
[5,6,7,4,3,8,1,2]=>[4,3,2,5,6,1,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[],[],[],[[[[],[]]]]]
[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]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[[[],[[[],[],[[]]]]]]
[8,5,6,7,2,3,1,4]=>[1,4,3,2,7,6,8,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[[[],[],[[],[],[[]]]]]
[7,6,5,8,2,3,1,4]=>[2,3,4,1,7,6,8,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[[],[[[[],[],[[]]]]]]
[6,7,5,8,2,3,1,4]=>[3,2,4,1,7,6,8,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[],[],[[[],[],[[]]]]]
[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[],[[],[[],[],[[]]]]]
[6,5,7,8,2,3,1,4]=>[3,4,2,1,7,6,8,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[],[],[[[],[],[[]]]]]
[5,6,7,8,2,3,1,4]=>[4,3,2,1,7,6,8,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[],[],[],[[],[],[[]]]]
[8,7,6,5,3,1,2,4]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[[[[[[],[[],[]]]]]]]
[8,6,7,5,3,1,2,4]=>[1,3,2,4,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[[[],[[[],[[],[]]]]]]
[6,7,8,5,3,1,2,4]=>[3,2,1,4,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[[],[],[[[],[[],[]]]]]
[8,7,5,6,3,1,2,4]=>[1,2,4,3,6,8,7,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[[[[],[[],[[],[]]]]]]
[7,8,5,6,3,1,2,4]=>[2,1,4,3,6,8,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[],[[],[[],[]]]]]
[8,6,5,7,3,1,2,4]=>[1,3,4,2,6,8,7,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[[[],[[[],[[],[]]]]]]
[8,5,6,7,3,1,2,4]=>[1,4,3,2,6,8,7,5]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[[[],[],[[],[[],[]]]]]
[7,6,5,8,3,1,2,4]=>[2,3,4,1,6,8,7,5]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[[],[[[[],[[],[]]]]]]
[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[[],[],[[[],[[],[]]]]]
[7,5,6,8,3,1,2,4]=>[2,4,3,1,6,8,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[],[[],[[],[]]]]]
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[5,6,7,8,3,1,2,4]=>[4,3,2,1,6,8,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[],[],[],[[],[[],[]]]]
[8,7,6,5,2,1,3,4]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[[[[[[],[],[[]]]]]]]
[7,8,6,5,2,1,3,4]=>[2,1,3,4,7,8,6,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[[],[[[[],[],[[]]]]]]
[7,6,8,5,2,1,3,4]=>[2,3,1,4,7,8,6,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[[],[[[[],[],[[]]]]]]
[6,7,8,5,2,1,3,4]=>[3,2,1,4,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[],[],[[[],[],[[]]]]]
[8,7,5,6,2,1,3,4]=>[1,2,4,3,7,8,6,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[[[[],[[],[],[[]]]]]]
[7,8,5,6,2,1,3,4]=>[2,1,4,3,7,8,6,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[],[[],[[],[],[[]]]]]
[8,6,5,7,2,1,3,4]=>[1,3,4,2,7,8,6,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[[[],[[[],[],[[]]]]]]
[7,6,5,8,2,1,3,4]=>[2,3,4,1,7,8,6,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[[],[[[[],[],[[]]]]]]
[6,7,5,8,2,1,3,4]=>[3,2,4,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[],[],[[[],[],[[]]]]]
[7,5,6,8,2,1,3,4]=>[2,4,3,1,7,8,6,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[[],[[],[[],[],[[]]]]]
[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[],[],[[[],[],[[]]]]]
[5,6,7,8,2,1,3,4]=>[4,3,2,1,7,8,6,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[],[],[],[[],[],[[]]]]
[8,7,6,5,1,2,3,4]=>[1,2,3,4,8,7,6,5]=>[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[[[[[[],[],[],[]]]]]]
[7,8,6,5,1,2,3,4]=>[2,1,3,4,8,7,6,5]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[[],[[[[],[],[],[]]]]]
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[6,7,8,5,1,2,3,4]=>[3,2,1,4,8,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[[],[],[[[],[],[],[]]]]
[8,7,5,6,1,2,3,4]=>[1,2,4,3,8,7,6,5]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[[[[],[[],[],[],[]]]]]
[7,8,5,6,1,2,3,4]=>[2,1,4,3,8,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[[],[[],[[],[],[],[]]]]
[8,6,5,7,1,2,3,4]=>[1,3,4,2,8,7,6,5]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[[[],[[[],[],[],[]]]]]
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[7,6,5,8,1,2,3,4]=>[2,3,4,1,8,7,6,5]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[[],[[[[],[],[],[]]]]]
[6,7,5,8,1,2,3,4]=>[3,2,4,1,8,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[[],[],[[[],[],[],[]]]]
[7,5,6,8,1,2,3,4]=>[2,4,3,1,8,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[[],[[],[[],[],[],[]]]]
[6,5,7,8,1,2,3,4]=>[3,4,2,1,8,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[[],[],[[[],[],[],[]]]]
[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[[],[],[],[[],[],[],[]]]
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[7,8,6,4,3,2,1,5]=>[2,1,3,5,6,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[],[[[],[[[[]]]]]]]
[8,6,7,4,3,2,1,5]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[[[],[[],[[[[]]]]]]]
[7,6,8,4,3,2,1,5]=>[2,3,1,5,6,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[],[[[],[[[[]]]]]]]
[6,7,8,4,3,2,1,5]=>[3,2,1,5,6,7,8,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[],[],[[],[[[[]]]]]]
[8,7,6,3,4,2,1,5]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[[[[[],[],[[[]]]]]]]
[8,6,7,3,4,2,1,5]=>[1,3,2,6,5,7,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[[[],[[],[],[[[]]]]]]
[6,7,8,3,4,2,1,5]=>[3,2,1,6,5,7,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[],[],[[],[],[[[]]]]]
[8,7,6,4,2,3,1,5]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[[[[],[[],[[]]]]]]]
[7,6,8,4,2,3,1,5]=>[2,3,1,5,7,6,8,4]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[[],[[[],[[],[[]]]]]]
[6,7,8,4,2,3,1,5]=>[3,2,1,5,7,6,8,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[],[],[[],[[],[[]]]]]
[8,7,6,3,2,4,1,5]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[[[[[],[],[[[]]]]]]]
[8,6,7,3,2,4,1,5]=>[1,3,2,6,7,5,8,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[[[],[[],[],[[[]]]]]]
[7,6,8,3,2,4,1,5]=>[2,3,1,6,7,5,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[[],[[[],[],[[[]]]]]]
[6,7,8,3,2,4,1,5]=>[3,2,1,6,7,5,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[],[],[[],[],[[[]]]]]
[8,7,6,2,3,4,1,5]=>[1,2,3,7,6,5,8,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[[[[[],[],[],[[]]]]]]
[8,6,7,2,3,4,1,5]=>[1,3,2,7,6,5,8,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>[[[],[[],[],[],[[]]]]]
[7,6,8,2,3,4,1,5]=>[2,3,1,7,6,5,8,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>[[],[[[],[],[],[[]]]]]
[6,7,8,2,3,4,1,5]=>[3,2,1,7,6,5,8,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[],[],[[],[],[],[[]]]]
[8,7,6,4,3,1,2,5]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[[[[[],[[[],[]]]]]]]
[8,6,7,4,3,1,2,5]=>[1,3,2,5,6,8,7,4]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[[],[[],[[[],[]]]]]]
[6,7,8,4,3,1,2,5]=>[3,2,1,5,6,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[],[],[[],[[[],[]]]]]
[8,7,6,3,4,1,2,5]=>[1,2,3,6,5,8,7,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[[[[[],[],[[],[]]]]]]
[7,8,6,3,4,1,2,5]=>[2,1,3,6,5,8,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[[],[[[],[],[[],[]]]]]
[8,6,7,3,4,1,2,5]=>[1,3,2,6,5,8,7,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[[],[[],[],[[],[]]]]]
[7,6,8,3,4,1,2,5]=>[2,3,1,6,5,8,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[[],[[[],[],[[],[]]]]]
[6,7,8,3,4,1,2,5]=>[3,2,1,6,5,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[],[],[[],[],[[],[]]]]
[8,7,6,4,2,1,3,5]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[[[[],[[],[[]]]]]]]
[8,6,7,4,2,1,3,5]=>[1,3,2,5,7,8,6,4]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[],[[],[[],[[]]]]]]
[7,6,8,4,2,1,3,5]=>[2,3,1,5,7,8,6,4]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[[],[[[],[[],[[]]]]]]
[6,7,8,4,2,1,3,5]=>[3,2,1,5,7,8,6,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[],[],[[],[[],[[]]]]]
[8,7,6,4,1,2,3,5]=>[1,2,3,5,8,7,6,4]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[[[[[],[[],[],[]]]]]]
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[8,6,7,3,2,1,4,5]=>[1,3,2,6,7,8,5,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[[[],[[],[],[[[]]]]]]
[7,6,8,3,2,1,4,5]=>[2,3,1,6,7,8,5,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[[],[[[],[],[[[]]]]]]
[6,7,8,3,2,1,4,5]=>[3,2,1,6,7,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[],[],[[],[],[[[]]]]]
[8,7,6,2,3,1,4,5]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[[[[[],[],[],[[]]]]]]
[8,6,7,2,3,1,4,5]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>[[[],[[],[],[],[[]]]]]
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[6,7,8,2,3,1,4,5]=>[3,2,1,7,6,8,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[],[],[[],[],[],[[]]]]
[8,7,6,3,1,2,4,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[[[[[],[],[[],[]]]]]]
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[8,6,7,3,1,2,4,5]=>[1,3,2,6,8,7,5,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[[[],[[],[],[[],[]]]]]
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[6,7,8,3,1,2,4,5]=>[3,2,1,6,8,7,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[],[],[[],[],[[],[]]]]
[8,7,6,2,1,3,4,5]=>[1,2,3,7,8,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[[[[[],[],[],[[]]]]]]
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[7,6,8,2,1,3,4,5]=>[2,3,1,7,8,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>[[],[[[],[],[],[[]]]]]
[6,7,8,2,1,3,4,5]=>[3,2,1,7,8,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[],[],[[],[],[],[[]]]]
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[8,7,5,4,3,1,2,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[[[[],[[[[],[]]]]]]]
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[7,8,3,2,1,4,5,6]=>[2,1,6,7,8,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[[],[[],[],[],[[[]]]]]
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[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]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[],[],[],[[],[[[]]]]]
[3,4,5,2,6,7,1,8]=>[6,5,4,7,3,2,8,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[],[],[],[],[],[[[]]]]
[5,3,2,4,6,7,1,8]=>[4,6,7,5,3,2,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[],[],[],[[],[[[]]]]]
[5,2,3,4,6,7,1,8]=>[4,7,6,5,3,2,8,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[],[],[],[[],[],[[]]]]
[4,3,2,5,6,7,1,8]=>[5,6,7,4,3,2,8,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[],[[[[]]]]]
[3,4,2,5,6,7,1,8]=>[6,5,7,4,3,2,8,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[],[],[],[],[],[[[]]]]
[4,2,3,5,6,7,1,8]=>[5,7,6,4,3,2,8,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[],[],[],[],[[],[[]]]]
[3,2,4,5,6,7,1,8]=>[6,7,5,4,3,2,8,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[],[],[],[],[],[[[]]]]
[2,3,4,5,6,7,1,8]=>[7,6,5,4,3,2,8,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[[],[],[],[],[],[],[[]]]
[7,6,5,4,3,1,2,8]=>[2,3,4,5,6,8,7,1]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[[],[[[[[[],[]]]]]]]
[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[[],[],[[[[[],[]]]]]]
[7,5,6,4,3,1,2,8]=>[2,4,3,5,6,8,7,1]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[],[[],[[[[],[]]]]]]
[6,5,7,4,3,1,2,8]=>[3,4,2,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[[],[],[[[[[],[]]]]]]
[5,6,7,4,3,1,2,8]=>[4,3,2,5,6,8,7,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[],[],[],[[[[],[]]]]]
[6,7,4,5,3,1,2,8]=>[3,2,5,4,6,8,7,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[],[],[[],[[[],[]]]]]
[7,5,4,6,3,1,2,8]=>[2,4,5,3,6,8,7,1]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[],[[],[[[[],[]]]]]]
[7,4,5,6,3,1,2,8]=>[2,5,4,3,6,8,7,1]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[[],[[],[],[[[],[]]]]]
[4,5,6,7,3,1,2,8]=>[5,4,3,2,6,8,7,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[[],[],[],[],[[[],[]]]]
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[6,7,5,3,4,1,2,8]=>[3,2,4,6,5,8,7,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[[],[],[[[],[[],[]]]]]
[7,5,6,3,4,1,2,8]=>[2,4,3,6,5,8,7,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[],[[],[[],[]]]]]
[6,5,7,3,4,1,2,8]=>[3,4,2,6,5,8,7,1]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[[],[],[[[],[[],[]]]]]
[5,6,7,3,4,1,2,8]=>[4,3,2,6,5,8,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[],[],[],[[],[[],[]]]]
[7,6,4,3,5,1,2,8]=>[2,3,5,6,4,8,7,1]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[[],[[[],[[[],[]]]]]]
[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[],[],[[],[],[[],[]]]]
[7,5,4,3,6,1,2,8]=>[2,4,5,6,3,8,7,1]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[],[[],[[[[],[]]]]]]
[7,5,3,4,6,1,2,8]=>[2,4,6,5,3,8,7,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[],[[],[[],[]]]]]
[7,3,4,5,6,1,2,8]=>[2,6,5,4,3,8,7,1]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[[],[[],[],[],[[],[]]]]
[6,5,4,3,7,1,2,8]=>[3,4,5,6,2,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[[],[],[[[[[],[]]]]]]
[5,4,6,3,7,1,2,8]=>[4,5,3,6,2,8,7,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[],[],[],[[[[],[]]]]]
[4,5,6,3,7,1,2,8]=>[5,4,3,6,2,8,7,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[[],[],[],[],[[[],[]]]]
[5,6,3,4,7,1,2,8]=>[4,3,6,5,2,8,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[],[],[],[[],[[],[]]]]
[6,4,3,5,7,1,2,8]=>[3,5,6,4,2,8,7,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[],[],[[],[[[],[]]]]]
[6,3,4,5,7,1,2,8]=>[3,6,5,4,2,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[],[],[[],[],[[],[]]]]
[5,4,3,6,7,1,2,8]=>[4,5,6,3,2,8,7,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[],[],[],[[[[],[]]]]]
[4,5,3,6,7,1,2,8]=>[5,4,6,3,2,8,7,1]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[[],[],[],[],[[[],[]]]]
[5,3,4,6,7,1,2,8]=>[4,6,5,3,2,8,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[],[],[],[[],[[],[]]]]
[3,4,5,6,7,1,2,8]=>[6,5,4,3,2,8,7,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[[],[],[],[],[],[[],[]]]
[7,6,5,4,2,1,3,8]=>[2,3,4,5,7,8,6,1]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[[],[[[[[],[[]]]]]]]
[6,7,5,4,2,1,3,8]=>[3,2,4,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[],[],[[[[],[[]]]]]]
[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[],[],[[[[],[[]]]]]]
[5,6,7,4,2,1,3,8]=>[4,3,2,5,7,8,6,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[],[],[],[[[],[[]]]]]
[7,6,4,5,2,1,3,8]=>[2,3,5,4,7,8,6,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[[],[[[],[[],[[]]]]]]
[6,7,4,5,2,1,3,8]=>[3,2,5,4,7,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[],[],[[],[[],[[]]]]]
[7,5,4,6,2,1,3,8]=>[2,4,5,3,7,8,6,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[],[[],[[[],[[]]]]]]
[7,4,5,6,2,1,3,8]=>[2,5,4,3,7,8,6,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[],[[],[],[[],[[]]]]]
[6,5,4,7,2,1,3,8]=>[3,4,5,2,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[[],[],[[[[],[[]]]]]]
[4,5,6,7,2,1,3,8]=>[5,4,3,2,7,8,6,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[],[],[],[],[[],[[]]]]
[7,6,5,4,1,2,3,8]=>[2,3,4,5,8,7,6,1]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[[],[[[[[],[],[]]]]]]
[6,5,7,4,1,2,3,8]=>[3,4,2,5,8,7,6,1]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[[],[],[[[[],[],[]]]]]
[5,6,7,4,1,2,3,8]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[[],[],[],[[[],[],[]]]]
[7,6,4,5,1,2,3,8]=>[2,3,5,4,8,7,6,1]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[[],[[[],[[],[],[]]]]]
[7,5,4,6,1,2,3,8]=>[2,4,5,3,8,7,6,1]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[[],[[],[[[],[],[]]]]]
[7,4,5,6,1,2,3,8]=>[2,5,4,3,8,7,6,1]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[[],[[],[],[[],[],[]]]]
[5,6,4,7,1,2,3,8]=>[4,3,5,2,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[[],[],[],[[[],[],[]]]]
[5,4,6,7,1,2,3,8]=>[4,5,3,2,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[[],[],[],[[[],[],[]]]]
[4,5,6,7,1,2,3,8]=>[5,4,3,2,8,7,6,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[[],[],[],[],[[],[],[]]]
[7,6,5,3,2,1,4,8]=>[2,3,4,6,7,8,5,1]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[],[[[[],[[[]]]]]]]
[7,5,6,3,2,1,4,8]=>[2,4,3,6,7,8,5,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[],[[],[[[]]]]]]
[7,6,5,2,3,1,4,8]=>[2,3,4,7,6,8,5,1]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[[],[[[[],[],[[]]]]]]
[7,6,5,3,1,2,4,8]=>[2,3,4,6,8,7,5,1]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[[],[[[[],[[],[]]]]]]
[7,5,6,3,1,2,4,8]=>[2,4,3,6,8,7,5,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[],[[],[[],[]]]]]
[5,6,7,3,1,2,4,8]=>[4,3,2,6,8,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[],[],[],[[],[[],[]]]]
[7,6,5,2,1,3,4,8]=>[2,3,4,7,8,6,5,1]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[[],[[[[],[],[[]]]]]]
[6,7,5,2,1,3,4,8]=>[3,2,4,7,8,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[],[],[[[],[],[[]]]]]
[6,5,7,2,1,3,4,8]=>[3,4,2,7,8,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[],[],[[[],[],[[]]]]]
[5,6,7,2,1,3,4,8]=>[4,3,2,7,8,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[],[],[],[[],[],[[]]]]
[7,6,5,1,2,3,4,8]=>[2,3,4,8,7,6,5,1]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[[],[[[[],[],[],[]]]]]
[6,7,5,1,2,3,4,8]=>[3,2,4,8,7,6,5,1]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[[],[],[[[],[],[],[]]]]
[7,5,6,1,2,3,4,8]=>[2,4,3,8,7,6,5,1]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[[],[[],[[],[],[],[]]]]
[6,5,7,1,2,3,4,8]=>[3,4,2,8,7,6,5,1]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[[],[],[[[],[],[],[]]]]
[5,6,7,1,2,3,4,8]=>[4,3,2,8,7,6,5,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[[],[],[],[[],[],[],[]]]
[7,6,4,3,2,1,5,8]=>[2,3,5,6,7,8,4,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[[],[[[],[[[[]]]]]]]
[6,7,4,3,2,1,5,8]=>[3,2,5,6,7,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[],[],[[],[[[[]]]]]]
[7,6,4,2,3,1,5,8]=>[2,3,5,7,6,8,4,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[[],[[[],[[],[[]]]]]]
[6,7,4,2,3,1,5,8]=>[3,2,5,7,6,8,4,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[],[],[[],[[],[[]]]]]
[6,7,3,2,4,1,5,8]=>[3,2,6,7,5,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[],[],[[],[],[[[]]]]]
[7,6,2,3,4,1,5,8]=>[2,3,7,6,5,8,4,1]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>[[],[[[],[],[],[[]]]]]
[7,6,4,3,1,2,5,8]=>[2,3,5,6,8,7,4,1]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[[],[[[],[[[],[]]]]]]
[7,6,3,4,1,2,5,8]=>[2,3,6,5,8,7,4,1]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[[],[[[],[],[[],[]]]]]
[7,6,4,2,1,3,5,8]=>[2,3,5,7,8,6,4,1]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[[],[[[],[[],[[]]]]]]
[6,7,4,2,1,3,5,8]=>[3,2,5,7,8,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[],[],[[],[[],[[]]]]]
[7,6,4,1,2,3,5,8]=>[2,3,5,8,7,6,4,1]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[[],[[[],[[],[],[]]]]]
[7,6,3,2,1,4,5,8]=>[2,3,6,7,8,5,4,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[[],[[[],[],[[[]]]]]]
[6,7,3,1,2,4,5,8]=>[3,2,6,8,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[],[],[[],[],[[],[]]]]
[6,7,2,1,3,4,5,8]=>[3,2,7,8,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[],[],[[],[],[],[[]]]]
[7,6,1,2,3,4,5,8]=>[2,3,8,7,6,5,4,1]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[[],[[[],[],[],[],[]]]]
[6,7,1,2,3,4,5,8]=>[3,2,8,7,6,5,4,1]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[],[],[[],[],[],[],[]]]
[7,5,4,3,2,1,6,8]=>[2,4,5,6,7,8,3,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[[],[[],[[[[[]]]]]]]
[7,4,5,3,2,1,6,8]=>[2,5,4,6,7,8,3,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[],[[],[],[[[[]]]]]]
[7,5,3,4,2,1,6,8]=>[2,4,6,5,7,8,3,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[],[[],[[[]]]]]]
[7,4,3,5,2,1,6,8]=>[2,5,6,4,7,8,3,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[],[[],[],[[[[]]]]]]
[7,3,4,5,2,1,6,8]=>[2,6,5,4,7,8,3,1]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[[],[[],[],[],[[[]]]]]
[7,4,5,2,3,1,6,8]=>[2,5,4,7,6,8,3,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[],[[],[],[[],[[]]]]]
[7,5,3,2,4,1,6,8]=>[2,4,6,7,5,8,3,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[],[[],[[[]]]]]]
[7,4,3,2,5,1,6,8]=>[2,5,6,7,4,8,3,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[],[[],[],[[[[]]]]]]
[7,2,3,4,5,1,6,8]=>[2,7,6,5,4,8,3,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[[],[[],[],[],[],[[]]]]
[7,5,3,4,1,2,6,8]=>[2,4,6,5,8,7,3,1]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[],[[],[[],[[],[]]]]]
[7,4,3,5,1,2,6,8]=>[2,5,6,4,8,7,3,1]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[[],[[],[],[[[],[]]]]]
[7,3,4,5,1,2,6,8]=>[2,6,5,4,8,7,3,1]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[[],[[],[],[],[[],[]]]]
[7,5,4,2,1,3,6,8]=>[2,4,5,7,8,6,3,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[],[[],[[[],[[]]]]]]
[7,4,5,2,1,3,6,8]=>[2,5,4,7,8,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[],[[],[],[[],[[]]]]]
[7,4,5,1,2,3,6,8]=>[2,5,4,8,7,6,3,1]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[[],[[],[],[[],[],[]]]]
[7,5,3,2,1,4,6,8]=>[2,4,6,7,8,5,3,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[],[[],[[],[[[]]]]]]
[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]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[],[],[[]],[],[[]],[]]
[1,5,4,3,8,7,6,2]=>[8,4,5,6,1,2,3,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>[[[[]]],[[[[]]]],[]]
[1,5,4,3,7,8,6,2]=>[8,4,5,6,2,1,3,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[[],[[]],[[[[]]]],[]]
[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]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[[],[[]],[],[],[[]],[]]
[1,6,5,4,3,8,7,2]=>[8,3,4,5,6,1,2,7]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[[[]],[[[[[]]]]],[]]
[1,5,6,4,3,8,7,2]=>[8,4,3,5,6,1,2,7]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[[[]],[],[[[[]]]],[]]
[1,4,6,5,3,8,7,2]=>[8,5,3,4,6,1,2,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[[[]],[[]],[[[]]],[]]
[1,5,4,6,3,8,7,2]=>[8,4,5,3,6,1,2,7]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[[[]],[],[[[[]]]],[]]
[1,4,5,6,3,8,7,2]=>[8,5,4,3,6,1,2,7]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>[[[]],[],[],[[[]]],[]]
[1,3,6,5,4,8,7,2]=>[8,6,3,4,5,1,2,7]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>[[[]],[[[]]],[[]],[]]
[1,4,3,6,5,8,7,2]=>[8,5,6,3,4,1,2,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[[[]],[[]],[[[]]],[]]
[1,3,4,6,5,8,7,2]=>[8,6,5,3,4,1,2,7]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>[[[]],[[]],[],[[]],[]]
[1,3,5,4,6,8,7,2]=>[8,6,4,5,3,1,2,7]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[[[]],[],[[]],[[]],[]]
[1,3,4,5,6,8,7,2]=>[8,6,5,4,3,1,2,7]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>[[[]],[],[],[],[[]],[]]
[1,7,6,5,4,3,8,2]=>[8,2,3,4,5,6,1,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[[],[[[[[[]]]]]],[]]
[1,6,7,5,4,3,8,2]=>[8,3,2,4,5,6,1,7]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[[],[],[[[[[]]]]],[]]
[1,6,5,7,4,3,8,2]=>[8,3,4,2,5,6,1,7]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[[],[],[[[[[]]]]],[]]
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[1,2,6,5,4,7,8,3]=>[8,7,3,4,5,2,1,6]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[[],[],[[[[]]]],[],[]]
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[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]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[[],[],[],[],[[]],[],[]]
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[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]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[]],[],[[]],[[[]]]]
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[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]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[[[]],[[[]]],[],[[]]]
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[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]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[],[],[],[[]],[[]],[]]
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[2,1,3,7,8,6,5,4]=>[7,8,6,2,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[[],[[[[]]]],[],[[]]]
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[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]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[],[[]],[[]],[],[[]]]
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[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]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[],[],[],[[]],[],[[]]]
[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[[],[],[[[]]],[[]],[]]
[1,3,2,5,6,4,7,8]=>[8,6,7,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[],[],[],[[]],[[]],[]]
[2,1,3,6,5,4,7,8]=>[7,8,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[],[],[[[]]],[],[[]]]
[2,1,3,5,6,4,7,8]=>[7,8,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[],[],[],[[]],[],[[]]]
[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[[],[],[[[]]],[],[],[]]
[1,2,3,5,6,4,7,8]=>[8,7,6,4,3,5,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[[],[],[],[[]],[],[],[]]
[4,3,2,1,6,5,7,8]=>[5,6,7,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[],[],[[]],[[[[]]]]]
[3,4,2,1,6,5,7,8]=>[6,5,7,8,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[],[],[[]],[],[[[]]]]
[3,2,4,1,6,5,7,8]=>[6,7,5,8,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[],[],[[]],[],[[[]]]]
[2,3,4,1,6,5,7,8]=>[7,6,5,8,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[],[],[[]],[],[],[[]]]
[1,4,3,2,6,5,7,8]=>[8,5,6,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[],[],[[]],[[[]]],[]]
[2,1,4,3,6,5,7,8]=>[7,8,5,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[],[],[[]],[[]],[[]]]
[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[],[],[[]],[[]],[],[]]
[2,3,1,4,6,5,7,8]=>[7,6,8,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[],[],[[]],[],[],[[]]]
[1,3,2,4,6,5,7,8]=>[8,6,7,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[],[],[[]],[],[[]],[]]
[2,1,3,4,6,5,7,8]=>[7,8,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[],[],[[]],[],[],[[]]]
[1,2,3,4,6,5,7,8]=>[8,7,6,5,3,4,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[[],[],[[]],[],[],[],[]]
[3,5,4,2,1,6,7,8]=>[6,4,5,7,8,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[],[],[],[[]],[[[]]]]
[2,5,4,3,1,6,7,8]=>[7,4,5,6,8,3,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[],[],[],[[[]]],[[]]]
[2,4,5,3,1,6,7,8]=>[7,5,4,6,8,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[],[],[],[],[[]],[[]]]
[3,2,5,4,1,6,7,8]=>[6,7,4,5,8,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[],[],[],[[]],[[[]]]]
[2,3,5,4,1,6,7,8]=>[7,6,4,5,8,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[],[],[],[[]],[],[[]]]
[2,4,3,5,1,6,7,8]=>[7,5,6,4,8,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[],[],[],[],[[]],[[]]]
[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[[],[],[],[[[[]]]],[]]
[1,3,5,4,2,6,7,8]=>[8,6,4,5,7,3,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[],[],[],[[]],[[]],[]]
[1,4,3,5,2,6,7,8]=>[8,5,6,4,7,3,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[[],[],[],[],[[[]]],[]]
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[2,3,1,5,4,6,7,8]=>[7,6,8,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[],[],[],[[]],[],[[]]]
[1,3,2,5,4,6,7,8]=>[8,6,7,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[],[],[],[[]],[[]],[]]
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[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[[[[]],[[]]],[],[],[]]
[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[[[],[[[]]]],[],[],[]]
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[1,2,4,7,5,6,3,8]=>[8,7,5,2,4,3,6,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>[[],[[],[]],[[]],[],[]]
[1,2,4,8,5,6,7,3]=>[8,7,5,1,4,3,2,6]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[[[],[],[]],[[]],[],[]]
[1,2,4,8,5,7,6,3]=>[8,7,5,1,4,2,3,6]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[[[[]],[]],[[]],[],[]]
[1,2,4,8,6,5,7,3]=>[8,7,5,1,3,4,2,6]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>[[[],[[]]],[[]],[],[]]
[1,2,5,4,8,6,7,3]=>[8,7,4,5,1,3,2,6]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>[[[],[]],[[[]]],[],[]]
[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[[],[],[[],[[]]],[],[]]
[1,2,6,4,5,7,3,8]=>[8,7,3,5,4,2,6,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[[],[],[[],[[]]],[],[]]
[1,2,6,4,5,7,8,3]=>[8,7,3,5,4,2,1,6]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[[],[],[[],[[]]],[],[]]
[1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>[[],[[],[],[[]]],[],[]]
[1,2,7,4,5,6,8,3]=>[8,7,2,5,4,3,1,6]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>[[],[[],[],[[]]],[],[]]
[1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[[[.,[[[.,[.,.]],.],[.,.]]],.],.]=>[[[[]],[],[[]]],[],[]]
[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>[[[[[]]],[[]]],[],[]]
[1,2,7,5,4,6,3,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[[],[[],[[[]]]],[],[]]
[1,2,7,5,4,6,8,3]=>[8,7,2,4,5,3,1,6]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[[],[[],[[[]]]],[],[]]
[1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[[[],[],[[[]]]],[],[]]
[1,2,7,5,6,4,3,8]=>[8,7,2,4,3,5,6,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[[],[[],[[[]]]],[],[]]
[1,2,7,5,6,4,8,3]=>[8,7,2,4,3,5,1,6]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[[],[[],[[[]]]],[],[]]
[1,2,8,5,6,4,7,3]=>[8,7,1,4,3,5,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[[[],[],[[[]]]],[],[]]
[1,2,8,5,7,6,4,3]=>[8,7,1,4,2,3,5,6]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]=>[[[[]],[[[]]]],[],[]]
[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]=>[[[],[[[[]]]]],[],[]]
[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[[[[],[[[]]]]],[],[]]
[1,3,2,4,8,6,7,5]=>[8,6,7,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>[[[],[[]]],[],[[]],[]]
[1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[[[],[],[[]]],[[]],[]]
[1,3,2,8,5,7,6,4]=>[8,6,7,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[[[[]],[[]]],[[]],[]]
[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>[[[],[[[]]]],[[]],[]]
[1,3,4,2,8,6,7,5]=>[8,6,5,7,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>[[[],[[]]],[],[[]],[]]
[1,3,4,5,8,6,7,2]=>[8,6,5,4,1,3,2,7]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[[[],[]],[],[],[[]],[]]
[1,3,4,7,5,6,2,8]=>[8,6,5,2,4,3,7,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[[],[[],[]],[],[[]],[]]
[1,3,4,8,5,6,7,2]=>[8,6,5,1,4,3,2,7]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[[[],[],[]],[],[[]],[]]
[1,3,4,8,6,5,7,2]=>[8,6,5,1,3,4,2,7]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>[[[],[[]]],[],[[]],[]]
[1,3,4,8,6,7,5,2]=>[8,6,5,1,3,2,4,7]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>[[[],[[]]],[],[[]],[]]
[1,3,6,4,5,2,7,8]=>[8,6,3,5,4,7,2,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[],[],[[],[]],[[]],[]]
[1,3,6,4,5,8,7,2]=>[8,6,3,5,4,1,2,7]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>[[[]],[[],[]],[[]],[]]
[1,3,7,4,5,6,2,8]=>[8,6,2,5,4,3,7,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>[[],[[],[],[]],[[]],[]]
[1,3,8,4,5,6,7,2]=>[8,6,1,5,4,3,2,7]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[[[],[],[],[]],[[]],[]]
[1,3,7,4,6,5,2,8]=>[8,6,2,5,3,4,7,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>[[],[[[]],[]],[[]],[]]
[1,3,8,4,6,7,5,2]=>[8,6,1,5,3,2,4,7]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>[[[],[[]],[]],[[]],[]]
[1,3,8,4,7,6,5,2]=>[8,6,1,5,2,3,4,7]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]=>[[[[[]]],[]],[[]],[]]
[1,3,7,5,4,6,2,8]=>[8,6,2,4,5,3,7,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[[],[[],[[]]],[[]],[]]
[1,3,7,5,4,6,8,2]=>[8,6,2,4,5,3,1,7]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[[],[[],[[]]],[[]],[]]
[1,3,8,5,4,6,7,2]=>[8,6,1,4,5,3,2,7]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[[[],[],[[]]],[[]],[]]
[1,3,8,5,4,7,6,2]=>[8,6,1,4,5,2,3,7]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[[[[]],[[]]],[[]],[]]
[1,3,7,5,6,4,8,2]=>[8,6,2,4,3,5,1,7]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[[],[[],[[]]],[[]],[]]
[1,3,8,5,6,4,7,2]=>[8,6,1,4,3,5,2,7]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[[[],[],[[]]],[[]],[]]
[1,3,8,5,6,7,4,2]=>[8,6,1,4,3,2,5,7]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[[[],[],[[]]],[[]],[]]
[1,3,8,5,7,6,4,2]=>[8,6,1,4,2,3,5,7]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[[[[]],[[]]],[[]],[]]
[1,3,8,6,5,7,4,2]=>[8,6,1,3,4,2,5,7]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>[[[],[[[]]]],[[]],[]]
[1,3,8,7,5,6,4,2]=>[8,6,1,2,4,3,5,7]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>[[[[],[[]]]],[[]],[]]
[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>[[[],[[]]],[[[]]],[]]
[1,4,3,5,8,6,7,2]=>[8,5,6,4,1,3,2,7]=>[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>[[[],[]],[],[[[]]],[]]
[1,4,3,7,5,6,2,8]=>[8,5,6,2,4,3,7,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>[[],[[],[]],[[[]]],[]]
[1,4,3,8,5,6,7,2]=>[8,5,6,1,4,3,2,7]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[[[],[],[]],[[[]]],[]]
[1,4,3,8,5,7,6,2]=>[8,5,6,1,4,2,3,7]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[[[[]],[]],[[[]]],[]]
[1,4,3,8,6,7,5,2]=>[8,5,6,1,3,2,4,7]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>[[[],[[]]],[[[]]],[]]
[1,5,3,4,2,7,6,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[[],[[]],[[],[[]]],[]]
[1,5,3,4,2,7,8,6]=>[8,4,6,5,7,2,1,3]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[[],[[]],[[],[[]]],[]]
[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[[[[]]],[[],[[]]],[]]
[1,5,3,4,6,7,8,2]=>[8,4,6,5,3,2,1,7]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[[],[],[],[[],[[]]],[]]
[1,5,3,4,8,6,7,2]=>[8,4,6,5,1,3,2,7]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>[[[],[]],[[],[[]]],[]]
[1,6,3,4,5,2,7,8]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[[],[],[[],[],[[]]],[]]
[1,6,3,4,5,7,2,8]=>[8,3,6,5,4,2,7,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[[],[],[[],[],[[]]],[]]
[1,6,3,4,5,7,8,2]=>[8,3,6,5,4,2,1,7]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[[],[],[[],[],[[]]],[]]
[1,6,3,4,5,8,7,2]=>[8,3,6,5,4,1,2,7]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[[[]],[[],[],[[]]],[]]
[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>[[],[[],[],[],[[]]],[]]
[1,7,3,4,5,6,8,2]=>[8,2,6,5,4,3,1,7]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>[[],[[],[],[],[[]]],[]]
[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]=>[[[],[],[],[],[[]]],[]]
[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[[[[[]]],[],[[]]],[]]
[1,6,3,5,4,7,2,8]=>[8,3,6,4,5,2,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[[],[],[[[]],[[]]],[]]
[1,6,3,5,4,7,8,2]=>[8,3,6,4,5,2,1,7]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[[],[],[[[]],[[]]],[]]
[1,6,3,5,4,8,7,2]=>[8,3,6,4,5,1,2,7]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[[[]],[[[]],[[]]],[]]
[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[[],[[],[[]],[[]]],[]]
[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]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[[],[[],[[[[]]]]],[]]
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[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]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[],[[]],[],[[]],[[]]]
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[2,5,6,1,7,8,3,4]=>[7,4,3,8,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[],[],[],[[],[]],[[]]]
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[2,5,6,7,8,1,3,4]=>[7,4,3,2,1,8,6,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[],[],[],[[],[]],[[]]]
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[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]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[],[[]],[[],[]],[[]]]
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[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]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[],[[]],[[]],[],[[]]]
[2,1,3,5,7,4,8,6]=>[7,8,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[],[[]],[[]],[],[[]]]
[2,3,5,1,7,4,8,6]=>[7,6,4,8,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[],[[]],[[]],[],[[]]]
[2,3,5,7,1,4,8,6]=>[7,6,4,2,8,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[],[[]],[[]],[],[[]]]
[2,3,5,1,7,8,4,6]=>[7,6,4,8,2,1,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[],[[]],[[]],[],[[]]]
[2,3,5,7,1,8,4,6]=>[7,6,4,2,8,1,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[],[[]],[[]],[],[[]]]
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[2,5,1,8,3,4,6,7]=>[7,4,8,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[[[],[]],[[],[]],[[]]]
[2,5,8,1,3,4,6,7]=>[7,4,1,8,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[[[],[]],[[],[]],[[]]]
[2,5,1,3,4,8,6,7]=>[7,4,8,6,5,1,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[[[],[]],[[],[]],[[]]]
[2,3,5,1,4,8,6,7]=>[7,6,4,8,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>[[[],[]],[[]],[],[[]]]
[2,3,1,5,8,4,6,7]=>[7,6,8,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>[[[],[]],[[]],[],[[]]]
[2,3,5,1,8,4,6,7]=>[7,6,4,8,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>[[[],[]],[[]],[],[[]]]
[2,3,5,8,1,4,6,7]=>[7,6,4,1,8,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>[[[],[]],[[]],[],[[]]]
[2,1,5,3,4,6,8,7]=>[7,8,4,6,5,3,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[]],[],[[],[]],[[]]]
[2,5,1,3,4,6,8,7]=>[7,4,8,6,5,3,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[]],[],[[],[]],[[]]]
[2,3,5,1,4,6,8,7]=>[7,6,4,8,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[[[]],[],[[]],[],[[]]]
[2,3,5,6,1,4,8,7]=>[7,6,4,3,8,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[[[]],[],[[]],[],[[]]]
[2,1,3,5,6,8,4,7]=>[7,8,6,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[[[]],[],[[]],[],[[]]]
[2,3,1,5,6,8,4,7]=>[7,6,8,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[[[]],[],[[]],[],[[]]]
[2,3,5,1,6,8,4,7]=>[7,6,4,8,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[[[]],[],[[]],[],[[]]]
[2,3,5,6,1,8,4,7]=>[7,6,4,3,8,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[[[]],[],[[]],[],[[]]]
[2,3,5,6,8,1,4,7]=>[7,6,4,3,1,8,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[[[]],[],[[]],[],[[]]]
[2,5,1,3,4,6,7,8]=>[7,4,8,6,5,3,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[],[],[],[[],[]],[[]]]
[2,3,5,1,4,6,7,8]=>[7,6,4,8,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[],[],[],[[]],[],[[]]]
[2,3,5,6,1,4,7,8]=>[7,6,4,3,8,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[],[],[],[[]],[],[[]]]
[2,3,5,1,6,7,4,8]=>[7,6,4,8,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[],[],[],[[]],[],[[]]]
[2,3,5,6,1,7,4,8]=>[7,6,4,3,8,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[],[],[],[[]],[],[[]]]
[2,3,5,6,7,1,4,8]=>[7,6,4,3,2,8,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[],[],[],[[]],[],[[]]]
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[2,3,4,1,7,5,6,8]=>[7,6,5,8,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[[],[[],[]],[],[],[[]]]
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[3,1,4,2,6,5,8,7]=>[6,8,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[]],[[]],[],[[],[]]]
[3,4,1,2,6,5,8,7]=>[6,5,8,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[]],[[]],[],[[],[]]]
[3,4,1,6,2,5,8,7]=>[6,5,8,3,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[]],[[]],[],[[],[]]]
[3,4,6,1,2,5,8,7]=>[6,5,3,8,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[]],[[]],[],[[],[]]]
[3,1,4,2,6,8,5,7]=>[6,8,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[]],[[]],[],[[],[]]]
[3,4,1,2,6,8,5,7]=>[6,5,8,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[]],[[]],[],[[],[]]]
[3,4,1,6,2,8,5,7]=>[6,5,8,3,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[]],[[]],[],[[],[]]]
[3,4,6,1,2,8,5,7]=>[6,5,3,8,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[]],[[]],[],[[],[]]]
[3,1,4,6,8,2,5,7]=>[6,8,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[]],[[]],[],[[],[]]]
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[3,1,4,6,2,7,5,8]=>[6,8,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[[],[],[[]],[],[[],[]]]
[3,4,1,6,2,7,5,8]=>[6,5,8,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[[],[],[[]],[],[[],[]]]
[3,4,6,1,2,7,5,8]=>[6,5,3,8,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[[],[],[[]],[],[[],[]]]
[3,4,6,1,7,2,5,8]=>[6,5,3,8,2,7,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[[],[],[[]],[],[[],[]]]
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[3,5,6,7,8,1,2,4]=>[6,4,3,2,1,8,7,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[[],[],[],[[]],[[],[]]]
[3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,5,1,2,7,4,8,6]=>[6,4,8,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,5,1,7,2,4,8,6]=>[6,4,8,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,5,7,1,2,4,8,6]=>[6,4,2,8,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,1,5,2,7,8,4,6]=>[6,8,4,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,5,1,2,7,8,4,6]=>[6,4,8,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,1,5,7,2,8,4,6]=>[6,8,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,5,7,1,2,8,4,6]=>[6,4,2,8,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,1,5,7,8,2,4,6]=>[6,8,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,1,5,2,7,4,6,8]=>[6,8,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,5,1,2,7,4,6,8]=>[6,4,8,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,1,5,7,2,4,6,8]=>[6,8,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,5,7,1,2,4,6,8]=>[6,4,2,8,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[3,5,1,2,4,7,6,8]=>[6,4,8,7,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[1,3,5,2,4,7,6,8]=>[8,6,4,7,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[],[[]],[[]],[[]],[]]
[3,1,2,5,7,4,6,8]=>[6,8,7,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[1,3,5,7,2,4,6,8]=>[8,6,4,2,7,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[],[[]],[[]],[[]],[]]
[3,5,1,2,4,7,8,6]=>[6,4,8,7,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[1,3,5,2,4,7,8,6]=>[8,6,4,7,5,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[],[[]],[[]],[[]],[]]
[3,1,2,5,7,4,8,6]=>[6,8,7,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]
[1,3,5,2,7,4,8,6]=>[8,6,4,7,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[],[[]],[[]],[[]],[]]
[1,3,5,7,2,4,8,6]=>[8,6,4,2,7,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[],[[]],[[]],[[]],[]]
[1,3,5,7,8,2,4,6]=>[8,6,4,2,1,7,5,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[],[[]],[[]],[[]],[]]
[3,1,5,2,8,4,6,7]=>[6,8,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[[[],[]],[[]],[[],[]]]
[3,1,5,8,2,4,6,7]=>[6,8,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[[[],[]],[[]],[[],[]]]
[3,5,1,8,2,4,6,7]=>[6,4,8,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[[[],[]],[[]],[[],[]]]
[3,5,8,1,2,4,6,7]=>[6,4,1,8,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[[[],[]],[[]],[[],[]]]
[3,1,5,2,4,8,6,7]=>[6,8,4,7,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[[[],[]],[[]],[[],[]]]
[3,1,2,5,4,8,6,7]=>[6,8,7,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[[[],[]],[[]],[[],[]]]
[1,3,2,5,4,8,6,7]=>[8,6,7,4,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[[[],[]],[[]],[[]],[]]
[1,3,5,2,4,8,6,7]=>[8,6,4,7,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[[[],[]],[[]],[[]],[]]
[1,3,2,5,8,4,6,7]=>[8,6,7,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[[[],[]],[[]],[[]],[]]
[1,3,5,2,8,4,6,7]=>[8,6,4,7,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[[[],[]],[[]],[[]],[]]
[1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[[[],[]],[[]],[[]],[]]
[3,1,5,2,4,6,8,7]=>[6,8,4,7,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[]],[],[[]],[[],[]]]
[3,5,1,2,4,6,8,7]=>[6,4,8,7,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[]],[],[[]],[[],[]]]
[3,1,2,5,4,6,8,7]=>[6,8,7,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[]],[],[[]],[[],[]]]
[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[[[]],[],[[]],[[]],[]]
[3,1,2,5,6,4,8,7]=>[6,8,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[]],[],[[]],[[],[]]]
[1,3,5,2,6,4,8,7]=>[8,6,4,7,3,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[[[]],[],[[]],[[]],[]]
[1,3,5,6,2,4,8,7]=>[8,6,4,3,7,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[[[]],[],[[]],[[]],[]]
[1,3,2,5,6,8,4,7]=>[8,6,7,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[[[]],[],[[]],[[]],[]]
[1,3,5,2,6,8,4,7]=>[8,6,4,7,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[[[]],[],[[]],[[]],[]]
[1,3,5,6,2,8,4,7]=>[8,6,4,3,7,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[[[]],[],[[]],[[]],[]]
[3,5,1,2,4,6,7,8]=>[6,4,8,7,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[[],[],[],[[]],[[],[]]]
[3,1,2,5,4,6,7,8]=>[6,8,7,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[[],[],[],[[]],[[],[]]]
[1,3,5,2,4,6,7,8]=>[8,6,4,7,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[],[],[],[[]],[[]],[]]
[3,1,2,5,6,4,7,8]=>[6,8,7,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[[],[],[],[[]],[[],[]]]
[1,3,5,6,2,4,7,8]=>[8,6,4,3,7,5,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[],[],[],[[]],[[]],[]]
[3,1,2,5,6,7,4,8]=>[6,8,7,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[[],[],[],[[]],[[],[]]]
[1,3,5,2,6,7,4,8]=>[8,6,4,7,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[],[],[],[[]],[[]],[]]
[1,3,5,6,2,7,4,8]=>[8,6,4,3,7,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[],[],[],[[]],[[]],[]]
[3,1,2,5,6,7,8,4]=>[6,8,7,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[[],[],[],[[]],[[],[]]]
[1,3,5,6,2,7,8,4]=>[8,6,4,3,7,2,1,5]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[],[],[],[[]],[[]],[]]
[1,3,5,6,7,8,2,4]=>[8,6,4,3,2,1,7,5]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[],[],[],[[]],[[]],[]]
[3,1,6,2,7,4,8,5]=>[6,8,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,1,6,7,2,4,8,5]=>[6,8,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,6,1,7,2,4,8,5]=>[6,3,8,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,6,7,1,2,4,8,5]=>[6,3,2,8,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,1,6,2,7,8,4,5]=>[6,8,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,6,1,2,7,8,4,5]=>[6,3,8,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,1,6,7,2,8,4,5]=>[6,8,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,6,1,7,2,8,4,5]=>[6,3,8,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,6,7,1,2,8,4,5]=>[6,3,2,8,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,6,1,7,8,2,4,5]=>[6,3,8,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,6,7,1,8,2,4,5]=>[6,3,2,8,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,6,7,8,1,2,4,5]=>[6,3,2,1,8,7,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,1,6,2,7,4,5,8]=>[6,8,3,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,6,1,2,7,4,5,8]=>[6,3,8,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,1,6,7,2,4,5,8]=>[6,8,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,6,7,1,2,4,5,8]=>[6,3,2,8,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,1,6,2,4,7,5,8]=>[6,8,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,6,1,2,4,7,5,8]=>[6,3,8,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,1,2,6,4,7,5,8]=>[6,8,7,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[1,3,2,6,4,7,5,8]=>[8,6,7,3,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[],[],[[],[]],[[]],[]]
[1,3,6,2,4,7,5,8]=>[8,6,3,7,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[],[],[[],[]],[[]],[]]
[1,3,6,7,2,4,5,8]=>[8,6,3,2,7,5,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[],[],[[],[]],[[]],[]]
[3,1,6,2,4,7,8,5]=>[6,8,3,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,6,1,2,4,7,8,5]=>[6,3,8,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,1,2,6,4,7,8,5]=>[6,8,7,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[1,3,6,2,4,7,8,5]=>[8,6,3,7,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[],[],[[],[]],[[]],[]]
[3,1,2,6,7,4,8,5]=>[6,8,7,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[1,3,6,2,7,4,8,5]=>[8,6,3,7,2,5,1,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[],[],[[],[]],[[]],[]]
[1,3,6,7,2,4,8,5]=>[8,6,3,2,7,5,1,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[],[],[[],[]],[[]],[]]
[1,3,6,2,7,8,4,5]=>[8,6,3,7,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[],[],[[],[]],[[]],[]]
[1,3,6,7,2,8,4,5]=>[8,6,3,2,7,1,5,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[],[],[[],[]],[[]],[]]
[1,3,6,7,8,2,4,5]=>[8,6,3,2,1,7,5,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[],[],[[],[]],[[]],[]]
[3,6,1,2,8,4,5,7]=>[6,3,8,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[]],[[],[]],[[],[]]]
[3,1,6,8,2,4,5,7]=>[6,8,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[]],[[],[]],[[],[]]]
[3,6,1,8,2,4,5,7]=>[6,3,8,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[]],[[],[]],[[],[]]]
[3,6,8,1,2,4,5,7]=>[6,3,1,8,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[]],[[],[]],[[],[]]]
[3,1,6,2,4,8,5,7]=>[6,8,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[]],[[],[]],[[],[]]]
[3,6,1,2,4,8,5,7]=>[6,3,8,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[]],[[],[]],[[],[]]]
[3,1,2,6,4,8,5,7]=>[6,8,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[]],[[],[]],[[],[]]]
[1,3,2,6,4,8,5,7]=>[8,6,7,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>[[[]],[[],[]],[[]],[]]
[3,1,2,6,8,4,5,7]=>[6,8,7,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[]],[[],[]],[[],[]]]
[1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>[[[]],[[],[]],[[]],[]]
[1,3,6,8,2,4,5,7]=>[8,6,3,1,7,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>[[[]],[[],[]],[[]],[]]
[3,1,6,2,4,5,8,7]=>[6,8,3,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[]],[[],[]],[[],[]]]
[3,6,1,2,4,5,8,7]=>[6,3,8,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[]],[[],[]],[[],[]]]
[3,1,2,4,6,5,8,7]=>[6,8,7,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[]],[[]],[],[[],[]]]
[3,1,2,4,6,8,5,7]=>[6,8,7,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[]],[[]],[],[[],[]]]
[1,3,2,4,6,8,5,7]=>[8,6,7,5,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>[[[]],[[]],[],[[]],[]]
[3,1,6,2,4,5,7,8]=>[6,8,3,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,6,1,2,4,5,7,8]=>[6,3,8,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[3,1,2,6,4,5,7,8]=>[6,8,7,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]
[1,3,2,6,4,5,7,8]=>[8,6,7,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[],[],[[],[]],[[]],[]]
[3,1,2,4,6,5,7,8]=>[6,8,7,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[[],[],[[]],[],[[],[]]]
[1,3,4,6,2,5,7,8]=>[8,6,5,3,7,4,2,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[],[],[[]],[],[[]],[]]
[3,1,2,4,6,7,5,8]=>[6,8,7,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[[],[],[[]],[],[[],[]]]
[1,3,4,6,2,7,5,8]=>[8,6,5,3,7,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[],[],[[]],[],[[]],[]]
[3,1,2,4,6,7,8,5]=>[6,8,7,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[[],[],[[]],[],[[],[]]]
[1,3,4,6,2,7,8,5]=>[8,6,5,3,7,2,1,4]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[],[],[[]],[],[[]],[]]
[1,3,4,6,7,8,2,5]=>[8,6,5,3,2,1,7,4]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[],[],[[]],[],[[]],[]]
[3,7,1,2,8,4,5,6]=>[6,2,8,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[[],[[],[],[]],[[],[]]]
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[1,3,4,7,8,2,5,6]=>[8,6,5,2,1,7,4,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[[],[[],[]],[],[[]],[]]
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[3,1,2,7,4,5,6,8]=>[6,8,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[[],[[],[],[]],[[],[]]]
[1,3,2,7,4,5,6,8]=>[8,6,7,2,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>[[],[[],[],[]],[[]],[]]
[1,3,7,2,4,5,6,8]=>[8,6,2,7,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>[[],[[],[],[]],[[]],[]]
[1,3,2,4,7,5,6,8]=>[8,6,7,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[[],[[],[]],[],[[]],[]]
[1,3,4,2,7,5,6,8]=>[8,6,5,7,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[[],[[],[]],[],[[]],[]]
[1,3,4,7,2,5,6,8]=>[8,6,5,2,7,4,3,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[[],[[],[]],[],[[]],[]]
[1,3,4,5,7,2,6,8]=>[8,6,5,4,2,7,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[[],[[]],[],[],[[]],[]]
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[1,3,4,5,7,8,2,6]=>[8,6,5,4,2,1,7,3]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[[],[[]],[],[],[[]],[]]
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[3,1,2,8,4,5,6,7]=>[6,8,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[[[],[],[],[]],[[],[]]]
[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[[[],[],[],[]],[[]],[]]
[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[[[],[],[],[]],[[]],[]]
[3,1,2,4,8,5,6,7]=>[6,8,7,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[[[],[],[]],[],[[],[]]]
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[1,3,4,2,8,5,6,7]=>[8,6,5,7,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[[[],[],[]],[],[[]],[]]
[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[[[],[],[]],[],[[]],[]]
[3,1,2,4,5,8,6,7]=>[6,8,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[[[],[]],[],[],[[],[]]]
[1,3,2,4,5,8,6,7]=>[8,6,7,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[[[],[]],[],[],[[]],[]]
[1,3,4,2,5,8,6,7]=>[8,6,5,7,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[[[],[]],[],[],[[]],[]]
[1,3,4,5,2,8,6,7]=>[8,6,5,4,7,1,3,2]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[[[],[]],[],[],[[]],[]]
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[4,5,1,7,2,3,8,6]=>[5,4,8,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[],[[]],[],[[],[],[]]]
[4,5,7,1,2,3,8,6]=>[5,4,2,8,7,6,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[],[[]],[],[[],[],[]]]
[4,1,5,2,7,8,3,6]=>[5,8,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[],[[]],[],[[],[],[]]]
[4,1,5,7,2,8,3,6]=>[5,8,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[],[[]],[],[[],[],[]]]
[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]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[],[],[],[],[[],[]],[]]
[4,1,2,5,6,3,7,8]=>[5,8,7,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[[],[],[],[],[[],[],[]]]
[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]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[],[],[],[],[[],[]],[]]
[4,1,2,5,6,7,8,3]=>[5,8,7,4,3,2,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[[],[],[],[],[[],[],[]]]
[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]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[],[],[],[],[[],[]],[]]
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[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]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[],[],[[]],[[],[],[]]]
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[4,1,6,2,3,7,5,8]=>[5,8,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[],[],[[]],[[],[],[]]]
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[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]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[[[]],[[]],[[]],[],[]]
[4,1,6,2,3,5,7,8]=>[5,8,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[],[],[[]],[[],[],[]]]
[4,6,1,2,3,5,7,8]=>[5,3,8,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[],[],[[]],[[],[],[]]]
[4,1,2,6,3,5,7,8]=>[5,8,7,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[],[],[[]],[[],[],[]]]
[1,4,2,6,3,5,7,8]=>[8,5,7,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[],[],[[]],[[],[]],[]]
[4,1,2,3,6,5,7,8]=>[5,8,7,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[],[],[[]],[[],[],[]]]
[1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[],[],[[]],[[]],[],[]]
[4,1,2,3,6,7,5,8]=>[5,8,7,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[],[],[[]],[[],[],[]]]
[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]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[],[],[[]],[[]],[],[]]
[4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[],[],[[]],[[],[],[]]]
[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]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[],[[],[]],[[],[],[]]]
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[4,1,2,7,3,8,5,6]=>[5,8,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[],[[],[]],[[],[],[]]]
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[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]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[],[[],[]],[[],[],[]]]
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[1,4,7,2,8,3,5,6]=>[8,5,2,7,1,6,4,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[[],[[],[]],[[],[]],[]]
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[4,1,2,3,5,7,6,8]=>[5,8,7,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[],[[]],[],[[],[],[]]]
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[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]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[[],[[]],[],[[]],[],[]]
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[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]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[[[],[],[]],[[]],[],[]]
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[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]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>[[[],[]],[],[[]],[],[]]
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[1,2,4,5,6,8,3,7]=>[8,7,5,4,3,1,6,2]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[[[]],[],[],[[]],[],[]]
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[5,1,6,2,3,8,4,7]=>[4,8,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[]],[],[[],[],[],[]]]
[5,6,1,2,3,8,4,7]=>[4,3,8,7,6,1,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[]],[],[[],[],[],[]]]
[5,1,2,6,3,8,4,7]=>[4,8,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[]],[],[[],[],[],[]]]
[1,5,2,6,3,8,4,7]=>[8,4,7,3,6,1,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[[[]],[],[[],[],[]],[]]
[1,5,6,2,3,8,4,7]=>[8,4,3,7,6,1,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[[[]],[],[[],[],[]],[]]
[5,1,2,6,8,3,4,7]=>[4,8,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[]],[],[[],[],[],[]]]
[1,5,2,6,8,3,4,7]=>[8,4,7,3,1,6,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[[[]],[],[[],[],[]],[]]
[1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[[[]],[],[[],[],[]],[]]
[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[[[]],[],[[],[],[]],[]]
[5,1,6,2,3,4,8,7]=>[4,8,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[]],[],[[],[],[],[]]]
[5,6,1,2,3,4,8,7]=>[4,3,8,7,6,5,1,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[]],[],[[],[],[],[]]]
[5,1,2,6,3,4,8,7]=>[4,8,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[]],[],[[],[],[],[]]]
[1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[[[]],[],[[],[],[]],[]]
[1,5,6,2,3,4,8,7]=>[8,4,3,7,6,5,1,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[[[]],[],[[],[],[]],[]]
[1,5,2,3,6,4,8,7]=>[8,4,7,6,3,5,1,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[[[]],[],[[],[],[]],[]]
[1,2,5,3,6,4,8,7]=>[8,7,4,6,3,5,1,2]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>[[[]],[],[[],[]],[],[]]
[1,2,5,6,3,4,8,7]=>[8,7,4,3,6,5,1,2]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>[[[]],[],[[],[]],[],[]]
[5,1,2,3,6,8,4,7]=>[4,8,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[]],[],[[],[],[],[]]]
[1,5,2,3,6,8,4,7]=>[8,4,7,6,3,1,5,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[[[]],[],[[],[],[]],[]]
[1,2,5,6,3,8,4,7]=>[8,7,4,3,6,1,5,2]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>[[[]],[],[[],[]],[],[]]
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[5,1,2,6,3,4,7,8]=>[4,8,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[[],[],[],[[],[],[],[]]]
[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[[],[],[],[[],[],[]],[]]
[1,5,6,2,3,4,7,8]=>[8,4,3,7,6,5,2,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[[],[],[],[[],[],[]],[]]
[5,1,2,3,6,4,7,8]=>[4,8,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[[],[],[],[[],[],[],[]]]
[1,5,2,3,6,4,7,8]=>[8,4,7,6,3,5,2,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[[],[],[],[[],[],[]],[]]
[1,2,5,3,6,4,7,8]=>[8,7,4,6,3,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>[[],[],[],[[],[]],[],[]]
[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>[[],[],[],[[],[]],[],[]]
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[1,2,5,6,7,3,8,4]=>[8,7,4,3,2,6,1,5]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>[[],[],[],[[],[]],[],[]]
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[1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[[],[[]],[[],[],[]],[]]
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[1,5,7,2,3,4,8,6]=>[8,4,2,7,6,5,1,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[[],[[]],[[],[],[]],[]]
[1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[[],[[]],[[],[],[]],[]]
[1,2,5,3,7,4,8,6]=>[8,7,4,6,2,5,1,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[[],[[]],[[],[]],[],[]]
[1,2,5,7,3,4,8,6]=>[8,7,4,2,6,5,1,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[[],[[]],[[],[]],[],[]]
[1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[[],[[]],[[],[],[]],[]]
[1,2,5,3,7,8,4,6]=>[8,7,4,6,2,1,5,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[[],[[]],[[],[]],[],[]]
[1,2,5,7,3,8,4,6]=>[8,7,4,2,6,1,5,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[[],[[]],[[],[]],[],[]]
[1,2,5,7,8,3,4,6]=>[8,7,4,2,1,6,5,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[[],[[]],[[],[]],[],[]]
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[5,7,1,2,3,4,6,8]=>[4,2,8,7,6,5,3,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[[],[[]],[[],[],[],[]]]
[5,1,2,7,3,4,6,8]=>[4,8,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[[],[[]],[[],[],[],[]]]
[1,5,2,7,3,4,6,8]=>[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[[],[[]],[[],[],[]],[]]
[5,1,2,3,7,4,6,8]=>[4,8,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[[],[[]],[[],[],[],[]]]
[1,5,2,3,7,4,6,8]=>[8,4,7,6,2,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[[],[[]],[[],[],[]],[]]
[1,2,5,7,3,4,6,8]=>[8,7,4,2,6,5,3,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[[],[[]],[[],[]],[],[]]
[5,1,2,3,4,7,6,8]=>[4,8,7,6,5,2,3,1]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[[],[[]],[[],[],[],[]]]
[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[[],[[]],[[],[],[]],[]]
[1,2,5,3,4,7,6,8]=>[8,7,4,6,5,2,3,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[[],[[]],[[],[]],[],[]]
[1,2,3,5,7,4,6,8]=>[8,7,6,4,2,5,3,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[[],[[]],[[]],[],[],[]]
[5,1,2,3,4,7,8,6]=>[4,8,7,6,5,2,1,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[[],[[]],[[],[],[],[]]]
[1,5,2,3,4,7,8,6]=>[8,4,7,6,5,2,1,3]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[[],[[]],[[],[],[]],[]]
[1,2,5,3,4,7,8,6]=>[8,7,4,6,5,2,1,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[[],[[]],[[],[]],[],[]]
[1,2,3,5,7,4,8,6]=>[8,7,6,4,2,5,1,3]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[[],[[]],[[]],[],[],[]]
[1,2,3,5,7,8,4,6]=>[8,7,6,4,2,1,5,3]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[[],[[]],[[]],[],[],[]]
[5,1,8,2,3,4,6,7]=>[4,8,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[[[],[]],[[],[],[],[]]]
[5,8,1,2,3,4,6,7]=>[4,1,8,7,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[[[],[]],[[],[],[],[]]]
[5,1,2,8,3,4,6,7]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[[[],[]],[[],[],[],[]]]
[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[[[],[]],[[],[],[]],[]]
[1,5,8,2,3,4,6,7]=>[8,4,1,7,6,5,3,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[[[],[]],[[],[],[]],[]]
[5,1,2,3,8,4,6,7]=>[4,8,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[[[],[]],[[],[],[],[]]]
[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>[[[],[]],[[],[]],[],[]]
[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>[[[],[]],[[],[]],[],[]]
[5,1,2,3,4,8,6,7]=>[4,8,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[[[],[]],[[],[],[],[]]]
[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[[[],[]],[[],[],[]],[]]
[1,2,5,3,4,8,6,7]=>[8,7,4,6,5,1,3,2]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>[[[],[]],[[],[]],[],[]]
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[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[[[]],[],[[],[],[]],[]]
[1,2,5,3,4,6,8,7]=>[8,7,4,6,5,3,1,2]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>[[[]],[],[[],[]],[],[]]
[1,2,3,5,6,8,4,7]=>[8,7,6,4,3,1,5,2]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[[[]],[],[[]],[],[],[]]
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[6,7,1,8,2,3,4,5]=>[3,2,8,1,7,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[],[],[[],[],[],[],[]]]
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[6,7,1,2,3,8,4,5]=>[3,2,8,7,6,1,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[],[],[[],[],[],[],[]]]
[6,1,2,7,3,8,4,5]=>[3,8,7,2,6,1,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[],[],[[],[],[],[],[]]]
[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[],[],[[],[],[],[]],[]]
[1,6,7,2,3,8,4,5]=>[8,3,2,7,6,1,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[],[],[[],[],[],[]],[]]
[6,1,2,7,8,3,4,5]=>[3,8,7,2,1,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[],[],[[],[],[],[],[]]]
[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[],[],[[],[],[],[]],[]]
[1,6,7,2,8,3,4,5]=>[8,3,2,7,1,6,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[],[],[[],[],[],[]],[]]
[1,6,7,8,2,3,4,5]=>[8,3,2,1,7,6,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[],[],[[],[],[],[]],[]]
[6,1,7,2,3,4,8,5]=>[3,8,2,7,6,5,1,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[],[],[[],[],[],[],[]]]
[6,7,1,2,3,4,8,5]=>[3,2,8,7,6,5,1,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[],[],[[],[],[],[],[]]]
[6,1,2,7,3,4,8,5]=>[3,8,7,2,6,5,1,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[],[],[[],[],[],[],[]]]
[1,6,2,7,3,4,8,5]=>[8,3,7,2,6,5,1,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[],[],[[],[],[],[]],[]]
[1,6,7,2,3,4,8,5]=>[8,3,2,7,6,5,1,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[],[],[[],[],[],[]],[]]
[6,1,2,3,7,4,8,5]=>[3,8,7,6,2,5,1,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[[],[],[[],[],[],[],[]]]
[1,6,2,3,7,4,8,5]=>[8,3,7,6,2,5,1,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[],[],[[],[],[],[]],[]]
[1,2,6,3,7,4,8,5]=>[8,7,3,6,2,5,1,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[[],[],[[],[],[]],[],[]]
[1,2,6,7,3,4,8,5]=>[8,7,3,2,6,5,1,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[[],[],[[],[],[]],[],[]]
[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]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[[]],[[[[[[[[]]]]]]]]]
[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]=>[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>[[],[],[],[],[],[[],[],[]]]
[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]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[[],[[],[],[],[],[],[],[]]]
[9,7,8,1,2,3,4,5,6]=>[1,3,2,9,8,7,6,5,4]=>[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]=>[[[],[[],[],[],[],[],[]]]]
[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]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[[],[[],[[],[