Identifier
Mp00069:
Permutations
—complement⟶
Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00008: Binary trees —to complete tree⟶ Ordered trees
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00008: Binary trees —to complete tree⟶ 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]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[],[]],[[],[[],[]]]],[[],[]]]
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[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]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[[],[]]],[[[],[[],[]]],[]]]
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[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]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[[],[]]],[[[],[[],[]]],[]]]
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[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]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[],[]],[]],[[[],[]],[[],[]]]]
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[4,2,3,5,6,1]=>[3,5,4,2,1,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[],[]],[]],[[[],[]],[[],[]]]]
[4,2,3,6,1,5]=>[3,5,4,1,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[[],[]]],[[[],[]],[[],[]]]]
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[4,5,6,3,1,2]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[],[]],[]],[[],[[[],[]],[]]]]
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[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]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[[],[]]],[[],[]]],[]],[[],[]]]
[2,1,3,5,6,4,7]=>[6,7,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[],[]],[]],[[],[]]],[]],[[],[]]]
[2,1,3,5,6,7,4]=>[6,7,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[],[]],[]],[[],[]]],[]],[[],[]]]
[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[[],[]]],[[],[]]],[]],[[],[]]]
[2,1,3,5,7,6,4]=>[6,7,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[[],[]]],[[],[]]],[]],[[],[]]]
[2,1,3,6,4,5,7]=>[6,7,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[],[]],[[[],[]],[]]],[]],[[],[]]]
[2,1,3,6,4,7,5]=>[6,7,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[],[]],[[[],[]],[]]],[]],[[],[]]]
[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[],[]],[[],[[],[]]]],[]],[[],[]]]
[2,1,3,6,5,7,4]=>[6,7,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[],[]],[[],[[],[]]]],[]],[[],[]]]
[2,1,3,6,7,4,5]=>[6,7,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[],[]],[[[],[]],[]]],[]],[[],[]]]
[2,1,3,6,7,5,4]=>[6,7,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[],[]],[[],[[],[]]]],[]],[[],[]]]
[2,1,3,7,4,5,6]=>[6,7,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>[[[[],[[[[],[]],[]],[]]],[]],[[],[]]]
[2,1,3,7,4,6,5]=>[6,7,5,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>[[[[],[[[],[[],[]]],[]]],[]],[[],[]]]
[2,1,3,7,5,4,6]=>[6,7,5,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[[],[]],[[],[]]]],[]],[[],[]]]
[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[[],[]],[[],[]]]],[]],[[],[]]]
[2,1,3,7,6,4,5]=>[6,7,5,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>[[[[],[[],[[[],[]],[]]]],[]],[[],[]]]
[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[[[[],[[],[[],[[],[]]]]],[]],[[],[]]]
[2,1,4,3,5,6,7]=>[6,7,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,1,4,3,6,7,5]=>[6,7,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,1,4,3,7,5,6]=>[6,7,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,1,4,5,3,6,7]=>[6,7,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,1,4,5,3,7,6]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,1,4,5,6,3,7]=>[6,7,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,1,4,5,6,7,3]=>[6,7,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,1,4,5,7,3,6]=>[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,1,4,5,7,6,3]=>[6,7,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,1,4,6,3,7,5]=>[6,7,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,1,4,6,5,3,7]=>[6,7,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,1,4,6,5,7,3]=>[6,7,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,1,4,6,7,3,5]=>[6,7,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,1,4,6,7,5,3]=>[6,7,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,1,4,7,3,5,6]=>[6,7,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,1,4,7,5,3,6]=>[6,7,4,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,1,4,7,5,6,3]=>[6,7,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,1,4,7,6,5,3]=>[6,7,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,1,5,3,4,6,7]=>[6,7,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,1,5,3,6,4,7]=>[6,7,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,1,5,3,6,7,4]=>[6,7,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,1,5,3,7,4,6]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,1,5,3,7,6,4]=>[6,7,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,1,5,4,6,3,7]=>[6,7,3,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,1,5,4,6,7,3]=>[6,7,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,1,5,4,7,6,3]=>[6,7,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,1,5,6,3,4,7]=>[6,7,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,1,5,6,3,7,4]=>[6,7,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,1,5,6,4,3,7]=>[6,7,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,1,5,6,4,7,3]=>[6,7,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,1,5,6,7,3,4]=>[6,7,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,1,5,6,7,4,3]=>[6,7,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,1,5,7,3,4,6]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,1,5,7,3,6,4]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,1,5,7,4,6,3]=>[6,7,3,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,1,5,7,6,3,4]=>[6,7,3,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,1,5,7,6,4,3]=>[6,7,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,1,6,3,4,5,7]=>[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,1,6,3,4,7,5]=>[6,7,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,1,6,3,5,4,7]=>[6,7,2,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,1,6,3,5,7,4]=>[6,7,2,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,1,6,3,7,4,5]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,1,6,3,7,5,4]=>[6,7,2,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,1,6,4,3,5,7]=>[6,7,2,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,1,6,4,3,7,5]=>[6,7,2,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,1,6,4,5,7,3]=>[6,7,2,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,1,6,4,7,3,5]=>[6,7,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
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[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]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
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[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]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
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[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]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
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[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]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[],[]],[[],[[],[]]]],[]],[[],[]]]
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[2,3,5,6,1,4,7]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[],[]],[]],[[],[]]],[]],[[],[]]]
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[2,4,1,6,3,7,5]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,1,6,5,3,7]=>[6,4,7,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,1,6,5,7,3]=>[6,4,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,1,6,7,3,5]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,1,6,7,5,3]=>[6,4,7,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,1,7,3,5,6]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,1,7,5,3,6]=>[6,4,7,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,1,7,5,6,3]=>[6,4,7,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,1,7,6,5,3]=>[6,4,7,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,3,1,5,6,7]=>[6,4,5,7,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,3,1,5,7,6]=>[6,4,5,7,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,3,1,6,5,7]=>[6,4,5,7,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,3,1,6,7,5]=>[6,4,5,7,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,3,1,7,5,6]=>[6,4,5,7,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,3,1,7,6,5]=>[6,4,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,3,5,1,6,7]=>[6,4,5,3,7,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,3,5,1,7,6]=>[6,4,5,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,3,5,6,1,7]=>[6,4,5,3,2,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,3,5,6,7,1]=>[6,4,5,3,2,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,3,5,7,1,6]=>[6,4,5,3,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,3,5,7,6,1]=>[6,4,5,3,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,3,6,1,5,7]=>[6,4,5,2,7,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,3,6,1,7,5]=>[6,4,5,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,3,6,5,1,7]=>[6,4,5,2,3,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,3,6,5,7,1]=>[6,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,3,6,7,1,5]=>[6,4,5,2,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,3,6,7,5,1]=>[6,4,5,2,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,3,7,1,5,6]=>[6,4,5,1,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,3,7,1,6,5]=>[6,4,5,1,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,3,7,5,1,6]=>[6,4,5,1,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,3,7,5,6,1]=>[6,4,5,1,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,3,7,6,1,5]=>[6,4,5,1,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,3,7,6,5,1]=>[6,4,5,1,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,5,1,3,6,7]=>[6,4,3,7,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,5,1,3,7,6]=>[6,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,5,1,6,3,7]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,5,1,6,7,3]=>[6,4,3,7,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,5,1,7,3,6]=>[6,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,5,1,7,6,3]=>[6,4,3,7,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,5,3,1,6,7]=>[6,4,3,5,7,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,5,3,1,7,6]=>[6,4,3,5,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,5,3,6,1,7]=>[6,4,3,5,2,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,5,3,6,7,1]=>[6,4,3,5,2,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,5,3,7,1,6]=>[6,4,3,5,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,5,3,7,6,1]=>[6,4,3,5,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,5,6,1,3,7]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,5,6,1,7,3]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,5,6,3,1,7]=>[6,4,3,2,5,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,5,6,3,7,1]=>[6,4,3,2,5,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,5,6,7,1,3]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,5,6,7,3,1]=>[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[]]]
[2,4,5,7,1,3,6]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,5,7,1,6,3]=>[6,4,3,1,7,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,5,7,3,1,6]=>[6,4,3,1,5,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,5,7,3,6,1]=>[6,4,3,1,5,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,5,7,6,1,3]=>[6,4,3,1,2,7,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,5,7,6,3,1]=>[6,4,3,1,2,5,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[]]]
[2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,1,3,7,5]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,1,5,3,7]=>[6,4,2,7,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,1,5,7,3]=>[6,4,2,7,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,1,7,3,5]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,1,7,5,3]=>[6,4,2,7,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,3,1,5,7]=>[6,4,2,5,7,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,3,1,7,5]=>[6,4,2,5,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,3,5,1,7]=>[6,4,2,5,3,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,3,5,7,1]=>[6,4,2,5,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,3,7,1,5]=>[6,4,2,5,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,3,7,5,1]=>[6,4,2,5,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,5,1,3,7]=>[6,4,2,3,7,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,5,1,7,3]=>[6,4,2,3,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,5,3,1,7]=>[6,4,2,3,5,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,5,3,7,1]=>[6,4,2,3,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,5,7,1,3]=>[6,4,2,3,1,7,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,5,7,3,1]=>[6,4,2,3,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,7,1,3,5]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,7,1,5,3]=>[6,4,2,1,7,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,7,3,1,5]=>[6,4,2,1,5,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,7,3,5,1]=>[6,4,2,1,5,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,7,5,1,3]=>[6,4,2,1,3,7,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,7,5,3,1]=>[6,4,2,1,3,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]
[2,4,7,1,3,5,6]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,7,1,5,3,6]=>[6,4,1,7,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,7,1,5,6,3]=>[6,4,1,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,7,1,6,5,3]=>[6,4,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,7,3,1,5,6]=>[6,4,1,5,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,7,3,1,6,5]=>[6,4,1,5,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,7,3,5,1,6]=>[6,4,1,5,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,7,3,5,6,1]=>[6,4,1,5,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,7,3,6,1,5]=>[6,4,1,5,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,7,3,6,5,1]=>[6,4,1,5,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,7,5,1,3,6]=>[6,4,1,3,7,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,7,5,1,6,3]=>[6,4,1,3,7,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,7,5,3,1,6]=>[6,4,1,3,5,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,7,5,3,6,1]=>[6,4,1,3,5,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,7,5,6,1,3]=>[6,4,1,3,2,7,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,7,5,6,3,1]=>[6,4,1,3,2,5,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,7,6,1,5,3]=>[6,4,1,2,7,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,7,6,3,1,5]=>[6,4,1,2,5,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,7,6,3,5,1]=>[6,4,1,2,5,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,7,6,5,1,3]=>[6,4,1,2,3,7,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,4,7,6,5,3,1]=>[6,4,1,2,3,5,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,5,1,3,4,6,7]=>[6,3,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,1,3,6,4,7]=>[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,1,3,6,7,4]=>[6,3,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,1,3,7,4,6]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,1,3,7,6,4]=>[6,3,7,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,1,4,3,6,7]=>[6,3,7,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,1,4,6,3,7]=>[6,3,7,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,1,4,6,7,3]=>[6,3,7,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,1,4,7,6,3]=>[6,3,7,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,1,6,3,4,7]=>[6,3,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,1,6,3,7,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,1,6,4,3,7]=>[6,3,7,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,1,6,4,7,3]=>[6,3,7,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,1,6,7,3,4]=>[6,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,1,6,7,4,3]=>[6,3,7,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,1,7,3,4,6]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,1,7,3,6,4]=>[6,3,7,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,1,7,4,6,3]=>[6,3,7,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,1,7,6,3,4]=>[6,3,7,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,1,7,6,4,3]=>[6,3,7,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,3,1,4,6,7]=>[6,3,5,7,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,3,1,4,7,6]=>[6,3,5,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,3,1,6,4,7]=>[6,3,5,7,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,3,1,6,7,4]=>[6,3,5,7,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,3,1,7,4,6]=>[6,3,5,7,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,3,1,7,6,4]=>[6,3,5,7,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,3,4,1,6,7]=>[6,3,5,4,7,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,3,4,1,7,6]=>[6,3,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,3,4,6,1,7]=>[6,3,5,4,2,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,3,4,6,7,1]=>[6,3,5,4,2,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,3,4,7,1,6]=>[6,3,5,4,1,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,3,4,7,6,1]=>[6,3,5,4,1,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,3,6,1,4,7]=>[6,3,5,2,7,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,3,6,1,7,4]=>[6,3,5,2,7,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,3,6,4,1,7]=>[6,3,5,2,4,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,3,6,4,7,1]=>[6,3,5,2,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,3,6,7,1,4]=>[6,3,5,2,1,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,3,6,7,4,1]=>[6,3,5,2,1,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,3,7,1,4,6]=>[6,3,5,1,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,3,7,1,6,4]=>[6,3,5,1,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,3,7,4,1,6]=>[6,3,5,1,4,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,3,7,4,6,1]=>[6,3,5,1,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,3,7,6,1,4]=>[6,3,5,1,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,3,7,6,4,1]=>[6,3,5,1,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,4,1,3,6,7]=>[6,3,4,7,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,4,1,6,3,7]=>[6,3,4,7,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,4,1,6,7,3]=>[6,3,4,7,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,4,1,7,6,3]=>[6,3,4,7,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,4,3,1,6,7]=>[6,3,4,5,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,4,3,1,7,6]=>[6,3,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,4,3,6,1,7]=>[6,3,4,5,2,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,4,3,6,7,1]=>[6,3,4,5,2,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,4,3,7,1,6]=>[6,3,4,5,1,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,4,3,7,6,1]=>[6,3,4,5,1,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,4,6,1,3,7]=>[6,3,4,2,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,4,6,1,7,3]=>[6,3,4,2,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,4,6,3,1,7]=>[6,3,4,2,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,4,6,3,7,1]=>[6,3,4,2,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,4,6,7,1,3]=>[6,3,4,2,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,4,6,7,3,1]=>[6,3,4,2,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,4,7,1,6,3]=>[6,3,4,1,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,4,7,3,1,6]=>[6,3,4,1,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,4,7,3,6,1]=>[6,3,4,1,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,4,7,6,1,3]=>[6,3,4,1,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,4,7,6,3,1]=>[6,3,4,1,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,6,1,3,4,7]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,6,1,3,7,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,6,1,4,3,7]=>[6,3,2,7,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,6,1,4,7,3]=>[6,3,2,7,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,6,1,7,3,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,6,1,7,4,3]=>[6,3,2,7,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,6,3,1,4,7]=>[6,3,2,5,7,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,6,3,1,7,4]=>[6,3,2,5,7,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,6,3,4,1,7]=>[6,3,2,5,4,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,6,3,4,7,1]=>[6,3,2,5,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,6,3,7,1,4]=>[6,3,2,5,1,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,6,3,7,4,1]=>[6,3,2,5,1,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,6,4,1,3,7]=>[6,3,2,4,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,6,4,1,7,3]=>[6,3,2,4,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,6,4,3,1,7]=>[6,3,2,4,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,6,4,3,7,1]=>[6,3,2,4,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,6,4,7,1,3]=>[6,3,2,4,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,6,4,7,3,1]=>[6,3,2,4,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,6,7,1,3,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,6,7,1,4,3]=>[6,3,2,1,7,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,6,7,3,1,4]=>[6,3,2,1,5,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,6,7,3,4,1]=>[6,3,2,1,5,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]
[2,5,6,7,4,1,3]=>[6,3,2,1,4,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,6,7,4,3,1]=>[6,3,2,1,4,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]
[2,5,7,1,3,4,6]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,7,1,3,6,4]=>[6,3,1,7,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,7,1,4,6,3]=>[6,3,1,7,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,7,1,6,3,4]=>[6,3,1,7,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,7,1,6,4,3]=>[6,3,1,7,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,7,3,1,4,6]=>[6,3,1,5,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,7,3,1,6,4]=>[6,3,1,5,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,7,3,4,1,6]=>[6,3,1,5,4,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,7,3,4,6,1]=>[6,3,1,5,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,7,3,6,1,4]=>[6,3,1,5,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,7,3,6,4,1]=>[6,3,1,5,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,7,4,1,6,3]=>[6,3,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,7,4,3,1,6]=>[6,3,1,4,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,7,4,3,6,1]=>[6,3,1,4,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,7,4,6,1,3]=>[6,3,1,4,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,7,4,6,3,1]=>[6,3,1,4,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,7,6,1,3,4]=>[6,3,1,2,7,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,7,6,1,4,3]=>[6,3,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,7,6,3,1,4]=>[6,3,1,2,5,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,7,6,3,4,1]=>[6,3,1,2,5,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[]]]
[2,5,7,6,4,1,3]=>[6,3,1,2,4,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,5,7,6,4,3,1]=>[6,3,1,2,4,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[]]]
[2,6,1,3,4,5,7]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,1,3,4,7,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,1,3,5,4,7]=>[6,2,7,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,1,3,5,7,4]=>[6,2,7,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,1,3,7,4,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,1,3,7,5,4]=>[6,2,7,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,1,4,3,5,7]=>[6,2,7,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,1,4,3,7,5]=>[6,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,1,4,5,3,7]=>[6,2,7,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,1,4,5,7,3]=>[6,2,7,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,1,4,7,3,5]=>[6,2,7,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,1,4,7,5,3]=>[6,2,7,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,1,5,3,4,7]=>[6,2,7,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,1,5,3,7,4]=>[6,2,7,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
[2,6,1,5,4,7,3]=>[6,2,7,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
[2,6,1,5,7,3,4]=>[6,2,7,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,1,5,7,4,3]=>[6,2,7,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
[2,6,1,7,3,4,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,1,7,3,5,4]=>[6,2,7,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,1,7,4,3,5]=>[6,2,7,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,1,7,4,5,3]=>[6,2,7,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,1,7,5,3,4]=>[6,2,7,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,1,7,5,4,3]=>[6,2,7,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
[2,6,3,1,4,5,7]=>[6,2,5,7,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,3,1,4,7,5]=>[6,2,5,7,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,3,1,5,4,7]=>[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,3,1,5,7,4]=>[6,2,5,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,3,1,7,4,5]=>[6,2,5,7,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,3,1,7,5,4]=>[6,2,5,7,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,3,4,1,5,7]=>[6,2,5,4,7,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,3,4,1,7,5]=>[6,2,5,4,7,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,3,4,5,1,7]=>[6,2,5,4,3,7,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,3,4,5,7,1]=>[6,2,5,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,3,4,7,1,5]=>[6,2,5,4,1,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,3,4,7,5,1]=>[6,2,5,4,1,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,3,5,1,4,7]=>[6,2,5,3,7,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,3,5,1,7,4]=>[6,2,5,3,7,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,3,5,4,1,7]=>[6,2,5,3,4,7,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,3,5,4,7,1]=>[6,2,5,3,4,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,3,5,7,1,4]=>[6,2,5,3,1,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,3,5,7,4,1]=>[6,2,5,3,1,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,3,7,1,4,5]=>[6,2,5,1,7,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,3,7,1,5,4]=>[6,2,5,1,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,3,7,4,1,5]=>[6,2,5,1,4,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,3,7,4,5,1]=>[6,2,5,1,4,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,3,7,5,1,4]=>[6,2,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,3,7,5,4,1]=>[6,2,5,1,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,4,1,3,5,7]=>[6,2,4,7,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,1,3,7,5]=>[6,2,4,7,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,1,5,3,7]=>[6,2,4,7,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,1,5,7,3]=>[6,2,4,7,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,1,7,3,5]=>[6,2,4,7,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,1,7,5,3]=>[6,2,4,7,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,3,1,5,7]=>[6,2,4,5,7,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,3,1,7,5]=>[6,2,4,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,3,5,1,7]=>[6,2,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,3,5,7,1]=>[6,2,4,5,3,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,3,7,1,5]=>[6,2,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,3,7,5,1]=>[6,2,4,5,1,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,5,1,3,7]=>[6,2,4,3,7,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,5,1,7,3]=>[6,2,4,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,5,3,1,7]=>[6,2,4,3,5,7,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,5,3,7,1]=>[6,2,4,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,5,7,1,3]=>[6,2,4,3,1,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,5,7,3,1]=>[6,2,4,3,1,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,7,1,3,5]=>[6,2,4,1,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,7,1,5,3]=>[6,2,4,1,7,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,7,3,1,5]=>[6,2,4,1,5,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,7,3,5,1]=>[6,2,4,1,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,7,5,1,3]=>[6,2,4,1,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,4,7,5,3,1]=>[6,2,4,1,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,5,1,3,4,7]=>[6,2,3,7,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,5,1,3,7,4]=>[6,2,3,7,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
[2,6,5,1,4,7,3]=>[6,2,3,7,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
[2,6,5,1,7,3,4]=>[6,2,3,7,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,5,1,7,4,3]=>[6,2,3,7,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
[2,6,5,3,1,4,7]=>[6,2,3,5,7,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,5,3,1,7,4]=>[6,2,3,5,7,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,5,3,4,1,7]=>[6,2,3,5,4,7,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,5,3,4,7,1]=>[6,2,3,5,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,5,3,7,1,4]=>[6,2,3,5,1,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,5,3,7,4,1]=>[6,2,3,5,1,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,5,4,1,3,7]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
[2,6,5,4,1,7,3]=>[6,2,3,4,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
[2,6,5,4,3,1,7]=>[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
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[2,6,5,4,7,1,3]=>[6,2,3,4,1,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
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[2,6,5,7,1,3,4]=>[6,2,3,1,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,5,7,1,4,3]=>[6,2,3,1,7,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
[2,6,5,7,3,1,4]=>[6,2,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,5,7,3,4,1]=>[6,2,3,1,5,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
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[2,6,5,7,4,3,1]=>[6,2,3,1,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
[2,6,7,1,3,4,5]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,7,1,3,5,4]=>[6,2,1,7,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,7,1,4,3,5]=>[6,2,1,7,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
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[2,6,7,1,5,3,4]=>[6,2,1,7,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,7,1,5,4,3]=>[6,2,1,7,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
[2,6,7,3,1,4,5]=>[6,2,1,5,7,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,7,3,1,5,4]=>[6,2,1,5,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,7,3,4,1,5]=>[6,2,1,5,4,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,7,3,4,5,1]=>[6,2,1,5,4,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[]]]
[2,6,7,3,5,1,4]=>[6,2,1,5,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,7,3,5,4,1]=>[6,2,1,5,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]
[2,6,7,4,1,3,5]=>[6,2,1,4,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,7,4,1,5,3]=>[6,2,1,4,7,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,7,4,3,1,5]=>[6,2,1,4,5,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,7,4,3,5,1]=>[6,2,1,4,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,7,4,5,1,3]=>[6,2,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,7,4,5,3,1]=>[6,2,1,4,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,6,7,5,1,3,4]=>[6,2,1,3,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,7,5,1,4,3]=>[6,2,1,3,7,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
[2,6,7,5,3,1,4]=>[6,2,1,3,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,7,5,3,4,1]=>[6,2,1,3,5,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,6,7,5,4,1,3]=>[6,2,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
[2,6,7,5,4,3,1]=>[6,2,1,3,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[]]]
[2,7,1,3,4,5,6]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>[[[],[[[[[],[]],[]],[]],[]]],[[],[]]]
[2,7,1,3,4,6,5]=>[6,1,7,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>[[[],[[[[],[[],[]]],[]],[]]],[[],[]]]
[2,7,1,3,5,4,6]=>[6,1,7,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[[],[]],[[],[]]],[]]],[[],[]]]
[2,7,1,3,5,6,4]=>[6,1,7,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[[],[]],[[],[]]],[]]],[[],[]]]
[2,7,1,3,6,4,5]=>[6,1,7,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>[[[],[[[],[[[],[]],[]]],[]]],[[],[]]]
[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[[[],[[[],[[],[[],[]]]],[]]],[[],[]]]
[2,7,1,4,3,5,6]=>[6,1,7,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,7,1,4,5,3,6]=>[6,1,7,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
[2,7,1,4,5,6,3]=>[6,1,7,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,7,1,4,6,5,3]=>[6,1,7,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,7,1,5,3,4,6]=>[6,1,7,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[]]]
[2,7,1,5,3,6,4]=>[6,1,7,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[]]]
[2,7,1,5,4,3,6]=>[6,1,7,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]
[2,7,1,5,4,6,3]=>[6,1,7,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]
[2,7,1,5,6,3,4]=>[6,1,7,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[]]]
[2,7,1,5,6,4,3]=>[6,1,7,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]
[2,7,1,6,3,4,5]=>[6,1,7,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>[[[],[[],[[[[],[]],[]],[]]]],[[],[]]]
[2,7,1,6,3,5,4]=>[6,1,7,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[[[],[[],[[[],[[],[]]],[]]]],[[],[]]]
[2,7,1,6,4,3,5]=>[6,1,7,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[[],[[[],[]],[[],[]]]]],[[],[]]]
[2,7,1,6,4,5,3]=>[6,1,7,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[[],[[[],[]],[[],[]]]]],[[],[]]]
[2,7,1,6,5,3,4]=>[6,1,7,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[],[[],[[],[[[],[]],[]]]]],[[],[]]]
[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[[[],[[],[[],[[],[[],[]]]]]],[[],[]]]
[2,7,3,1,4,5,6]=>[6,1,5,7,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>[[[],[[[[[],[]],[]],[]],[]]],[[],[]]]
[2,7,3,1,4,6,5]=>[6,1,5,7,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>[[[],[[[[],[[],[]]],[]],[]]],[[],[]]]
[2,7,3,1,5,4,6]=>[6,1,5,7,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[[],[]],[[],[]]],[]]],[[],[]]]
[2,7,3,1,5,6,4]=>[6,1,5,7,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[[],[]],[[],[]]],[]]],[[],[]]]
[2,7,3,1,6,4,5]=>[6,1,5,7,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>[[[],[[[],[[[],[]],[]]],[]]],[[],[]]]
[2,7,3,1,6,5,4]=>[6,1,5,7,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[[[],[[[],[[],[[],[]]]],[]]],[[],[]]]
[2,7,3,4,1,5,6]=>[6,1,5,4,7,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>[[[],[[[[[],[]],[]],[]],[]]],[[],[]]]
[2,7,3,4,1,6,5]=>[6,1,5,4,7,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>[[[],[[[[],[[],[]]],[]],[]]],[[],[]]]
[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>[[[],[[[[[],[]],[]],[]],[]]],[[],[]]]
[2,7,3,4,5,6,1]=>[6,1,5,4,3,2,7]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>[[[],[[[[[],[]],[]],[]],[]]],[[],[]]]
[2,7,3,4,6,1,5]=>[6,1,5,4,2,7,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>[[[],[[[[],[[],[]]],[]],[]]],[[],[]]]
[2,7,3,4,6,5,1]=>[6,1,5,4,2,3,7]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>[[[],[[[[],[[],[]]],[]],[]]],[[],[]]]
[2,7,3,5,1,4,6]=>[6,1,5,3,7,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[[],[]],[[],[]]],[]]],[[],[]]]
[2,7,3,5,1,6,4]=>[6,1,5,3,7,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[[],[]],[[],[]]],[]]],[[],[]]]
[2,7,3,5,4,1,6]=>[6,1,5,3,4,7,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[[],[]],[[],[]]],[]]],[[],[]]]
[2,7,3,5,4,6,1]=>[6,1,5,3,4,2,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[[],[]],[[],[]]],[]]],[[],[]]]
[2,7,3,5,6,1,4]=>[6,1,5,3,2,7,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[[],[]],[[],[]]],[]]],[[],[]]]
[2,7,3,5,6,4,1]=>[6,1,5,3,2,4,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[[],[]],[[],[]]],[]]],[[],[]]]
[2,7,3,6,1,4,5]=>[6,1,5,2,7,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>[[[],[[[],[[[],[]],[]]],[]]],[[],[]]]
[2,7,3,6,1,5,4]=>[6,1,5,2,7,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[[[],[[[],[[],[[],[]]]],[]]],[[],[]]]
[2,7,3,6,4,1,5]=>[6,1,5,2,4,7,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>[[[],[[[],[[[],[]],[]]],[]]],[[],[]]]
[2,7,3,6,4,5,1]=>[6,1,5,2,4,3,7]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>[[[],[[[],[[[],[]],[]]],[]]],[[],[]]]
[2,7,3,6,5,1,4]=>[6,1,5,2,3,7,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[[[],[[[],[[],[[],[]]]],[]]],[[],[]]]
[2,7,3,6,5,4,1]=>[6,1,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[[[],[[[],[[],[[],[]]]],[]]],[[],[]]]
[2,7,4,1,3,5,6]=>[6,1,4,7,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,7,4,1,5,3,6]=>[6,1,4,7,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
[2,7,4,1,5,6,3]=>[6,1,4,7,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
[2,7,4,1,6,3,5]=>[6,1,4,7,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,7,4,1,6,5,3]=>[6,1,4,7,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,7,4,3,1,5,6]=>[6,1,4,5,7,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
[2,7,4,3,1,6,5]=>[6,1,4,5,7,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,7,4,3,5,1,6]=>[6,1,4,5,3,7,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
[2,7,4,3,5,6,1]=>[6,1,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
[2,7,4,3,6,1,5]=>[6,1,4,5,2,7,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,7,4,3,6,5,1]=>[6,1,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,7,4,5,1,3,6]=>[6,1,4,3,7,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
[2,7,4,5,1,6,3]=>[6,1,4,3,7,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
[2,7,4,5,3,1,6]=>[6,1,4,3,5,7,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
[2,7,4,5,3,6,1]=>[6,1,4,3,5,2,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
[2,7,4,5,6,1,3]=>[6,1,4,3,2,7,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
[2,7,4,5,6,3,1]=>[6,1,4,3,2,5,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]
[2,7,4,6,1,3,5]=>[6,1,4,2,7,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,7,4,6,1,5,3]=>[6,1,4,2,7,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,7,4,6,3,1,5]=>[6,1,4,2,5,7,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,7,4,6,3,5,1]=>[6,1,4,2,5,3,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,7,4,6,5,1,3]=>[6,1,4,2,3,7,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,7,4,6,5,3,1]=>[6,1,4,2,3,5,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,7,5,1,3,4,6]=>[6,1,3,7,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[]]]
[2,7,5,1,3,6,4]=>[6,1,3,7,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[]]]
[2,7,5,1,4,3,6]=>[6,1,3,7,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]
[2,7,5,1,4,6,3]=>[6,1,3,7,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]
[2,7,5,1,6,3,4]=>[6,1,3,7,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[]]]
[2,7,5,1,6,4,3]=>[6,1,3,7,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]
[2,7,5,3,1,4,6]=>[6,1,3,5,7,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[]]]
[2,7,5,3,1,6,4]=>[6,1,3,5,7,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[]]]
[2,7,5,3,4,1,6]=>[6,1,3,5,4,7,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[]]]
[2,7,5,3,4,6,1]=>[6,1,3,5,4,2,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[]]]
[2,7,5,3,6,1,4]=>[6,1,3,5,2,7,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[]]]
[2,7,5,3,6,4,1]=>[6,1,3,5,2,4,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[]]]
[2,7,5,4,1,3,6]=>[6,1,3,4,7,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]
[2,7,5,4,1,6,3]=>[6,1,3,4,7,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]
[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]
[2,7,5,4,3,6,1]=>[6,1,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]
[2,7,5,4,6,1,3]=>[6,1,3,4,2,7,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]
[2,7,5,4,6,3,1]=>[6,1,3,4,2,5,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]
[2,7,5,6,1,3,4]=>[6,1,3,2,7,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[]]]
[2,7,5,6,1,4,3]=>[6,1,3,2,7,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]
[2,7,5,6,3,1,4]=>[6,1,3,2,5,7,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[]]]
[2,7,5,6,3,4,1]=>[6,1,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[]]]
[2,7,5,6,4,1,3]=>[6,1,3,2,4,7,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]
[2,7,5,6,4,3,1]=>[6,1,3,2,4,5,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]
[2,7,6,1,3,4,5]=>[6,1,2,7,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>[[[],[[],[[[[],[]],[]],[]]]],[[],[]]]
[2,7,6,1,3,5,4]=>[6,1,2,7,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[[[],[[],[[[],[[],[]]],[]]]],[[],[]]]
[2,7,6,1,4,3,5]=>[6,1,2,7,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[[],[[[],[]],[[],[]]]]],[[],[]]]
[2,7,6,1,4,5,3]=>[6,1,2,7,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[[],[[[],[]],[[],[]]]]],[[],[]]]
[2,7,6,1,5,3,4]=>[6,1,2,7,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[],[[],[[],[[[],[]],[]]]]],[[],[]]]
[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[[[],[[],[[],[[],[[],[]]]]]],[[],[]]]
[2,7,6,3,1,4,5]=>[6,1,2,5,7,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>[[[],[[],[[[[],[]],[]],[]]]],[[],[]]]
[2,7,6,3,1,5,4]=>[6,1,2,5,7,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[[[],[[],[[[],[[],[]]],[]]]],[[],[]]]
[2,7,6,3,4,1,5]=>[6,1,2,5,4,7,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>[[[],[[],[[[[],[]],[]],[]]]],[[],[]]]
[2,7,6,3,4,5,1]=>[6,1,2,5,4,3,7]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>[[[],[[],[[[[],[]],[]],[]]]],[[],[]]]
[2,7,6,3,5,1,4]=>[6,1,2,5,3,7,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[[[],[[],[[[],[[],[]]],[]]]],[[],[]]]
[2,7,6,3,5,4,1]=>[6,1,2,5,3,4,7]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[[[],[[],[[[],[[],[]]],[]]]],[[],[]]]
[2,7,6,4,1,3,5]=>[6,1,2,4,7,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[[],[[[],[]],[[],[]]]]],[[],[]]]
[2,7,6,4,1,5,3]=>[6,1,2,4,7,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[[],[[[],[]],[[],[]]]]],[[],[]]]
[2,7,6,4,3,1,5]=>[6,1,2,4,5,7,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[[],[[[],[]],[[],[]]]]],[[],[]]]
[2,7,6,4,3,5,1]=>[6,1,2,4,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[[],[[[],[]],[[],[]]]]],[[],[]]]
[2,7,6,4,5,1,3]=>[6,1,2,4,3,7,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[[],[[[],[]],[[],[]]]]],[[],[]]]
[2,7,6,4,5,3,1]=>[6,1,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[[],[[[],[]],[[],[]]]]],[[],[]]]
[2,7,6,5,1,3,4]=>[6,1,2,3,7,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[],[[],[[],[[[],[]],[]]]]],[[],[]]]
[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[[[],[[],[[],[[],[[],[]]]]]],[[],[]]]
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[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]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[[],[]],[[],[]]]],[[],[[],[]]]]
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[4,1,6,2,3,7,5]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]
[4,1,6,2,5,3,7]=>[4,7,2,6,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]
[4,1,6,2,5,7,3]=>[4,7,2,6,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]
[4,1,6,2,7,3,5]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]
[4,1,6,2,7,5,3]=>[4,7,2,6,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]
[4,1,6,3,2,5,7]=>[4,7,2,5,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[]]]
[4,1,6,3,2,7,5]=>[4,7,2,5,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[]]]
[4,1,6,3,5,2,7]=>[4,7,2,5,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[]]]
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[4,1,6,3,7,2,5]=>[4,7,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[]]]
[4,1,6,3,7,5,2]=>[4,7,2,5,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[]]]
[4,1,6,5,2,3,7]=>[4,7,2,3,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]
[4,1,6,5,2,7,3]=>[4,7,2,3,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]
[4,1,6,5,3,2,7]=>[4,7,2,3,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[]]]
[4,1,6,5,3,7,2]=>[4,7,2,3,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[]]]
[4,1,6,5,7,2,3]=>[4,7,2,3,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]
[4,1,6,5,7,3,2]=>[4,7,2,3,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[]]]
[4,1,6,7,2,3,5]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]
[4,1,6,7,2,5,3]=>[4,7,2,1,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]
[4,1,6,7,3,2,5]=>[4,7,2,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[]]]
[4,1,6,7,3,5,2]=>[4,7,2,1,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[]]]
[4,1,6,7,5,2,3]=>[4,7,2,1,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]
[4,1,6,7,5,3,2]=>[4,7,2,1,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[]]]
[4,1,7,2,3,5,6]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[[],[]],[]]],[[[[],[]],[]],[]]]
[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[[],[[],[]]]],[[[[],[]],[]],[]]]
[4,1,7,2,5,3,6]=>[4,7,1,6,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[[],[]],[]]],[[[[],[]],[]],[]]]
[4,1,7,2,5,6,3]=>[4,7,1,6,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[[],[]],[]]],[[[[],[]],[]],[]]]
[4,1,7,2,6,3,5]=>[4,7,1,6,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[[],[[],[]]]],[[[[],[]],[]],[]]]
[4,1,7,2,6,5,3]=>[4,7,1,6,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[[],[[],[]]]],[[[[],[]],[]],[]]]
[4,1,7,3,2,5,6]=>[4,7,1,5,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[[],[]],[]]],[[[],[[],[]]],[]]]
[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[[],[[],[]]]],[[[],[[],[]]],[]]]
[4,1,7,3,5,2,6]=>[4,7,1,5,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[[],[]],[]]],[[[],[[],[]]],[]]]
[4,1,7,3,5,6,2]=>[4,7,1,5,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[[],[]],[]]],[[[],[[],[]]],[]]]
[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[[],[[],[]]]],[[[],[[],[]]],[]]]
[4,1,7,3,6,5,2]=>[4,7,1,5,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[[],[[],[]]]],[[[],[[],[]]],[]]]
[4,1,7,5,2,3,6]=>[4,7,1,3,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[[],[]],[]]],[[[[],[]],[]],[]]]
[4,1,7,5,2,6,3]=>[4,7,1,3,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[[],[]],[]]],[[[[],[]],[]],[]]]
[4,1,7,5,3,2,6]=>[4,7,1,3,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[[],[]],[]]],[[[],[[],[]]],[]]]
[4,1,7,5,3,6,2]=>[4,7,1,3,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[[],[]],[]]],[[[],[[],[]]],[]]]
[4,1,7,5,6,2,3]=>[4,7,1,3,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[[],[]],[]]],[[[[],[]],[]],[]]]
[4,1,7,5,6,3,2]=>[4,7,1,3,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[[],[]],[]]],[[[],[[],[]]],[]]]
[4,1,7,6,2,3,5]=>[4,7,1,2,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[[],[[],[]]]],[[[[],[]],[]],[]]]
[4,1,7,6,2,5,3]=>[4,7,1,2,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[[],[[],[]]]],[[[[],[]],[]],[]]]
[4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[[],[[],[]]]],[[[],[[],[]]],[]]]
[4,1,7,6,3,5,2]=>[4,7,1,2,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[[],[[],[]]]],[[[],[[],[]]],[]]]
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[4,1,7,6,5,3,2]=>[4,7,1,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[[],[[],[]]]],[[[],[[],[]]],[]]]
[4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[]],[[],[]]]]
[4,2,1,3,5,7,6]=>[4,6,7,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[],[]]]]
[4,2,1,3,6,5,7]=>[4,6,7,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,1,3,6,7,5]=>[4,6,7,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,1,3,7,5,6]=>[4,6,7,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[[],[]],[]]],[[[],[]],[[],[]]]]
[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[[],[[],[]]]],[[[],[]],[[],[]]]]
[4,2,1,5,3,6,7]=>[4,6,7,3,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[]],[[],[]]]]
[4,2,1,5,3,7,6]=>[4,6,7,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[],[]]]]
[4,2,1,5,6,3,7]=>[4,6,7,3,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[]],[[],[]]]]
[4,2,1,5,6,7,3]=>[4,6,7,3,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[]],[[],[]]]]
[4,2,1,5,7,3,6]=>[4,6,7,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[],[]]]]
[4,2,1,5,7,6,3]=>[4,6,7,3,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[],[]]]]
[4,2,1,6,3,5,7]=>[4,6,7,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,1,6,3,7,5]=>[4,6,7,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,1,6,5,3,7]=>[4,6,7,2,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,1,6,5,7,3]=>[4,6,7,2,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,1,6,7,3,5]=>[4,6,7,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,1,6,7,5,3]=>[4,6,7,2,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,1,7,3,5,6]=>[4,6,7,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[[],[]],[]]],[[[],[]],[[],[]]]]
[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[[],[[],[]]]],[[[],[]],[[],[]]]]
[4,2,1,7,5,3,6]=>[4,6,7,1,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[[],[]],[]]],[[[],[]],[[],[]]]]
[4,2,1,7,5,6,3]=>[4,6,7,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[[],[]],[]]],[[[],[]],[[],[]]]]
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[4,2,1,7,6,5,3]=>[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[[],[[],[]]]],[[[],[]],[[],[]]]]
[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[]],[[],[]]]]
[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[],[]]]]
[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,3,1,6,7,5]=>[4,6,5,7,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,3,1,7,5,6]=>[4,6,5,7,1,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[[],[]],[]]],[[[],[]],[[],[]]]]
[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[[],[[],[]]]],[[[],[]],[[],[]]]]
[4,2,3,5,1,6,7]=>[4,6,5,3,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[]],[[],[]]]]
[4,2,3,5,1,7,6]=>[4,6,5,3,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[],[]]]]
[4,2,3,5,6,1,7]=>[4,6,5,3,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[]],[[],[]]]]
[4,2,3,5,6,7,1]=>[4,6,5,3,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[]],[[],[]]]]
[4,2,3,5,7,1,6]=>[4,6,5,3,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[],[]]]]
[4,2,3,5,7,6,1]=>[4,6,5,3,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[],[]]]]
[4,2,3,6,1,5,7]=>[4,6,5,2,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,3,6,1,7,5]=>[4,6,5,2,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,3,6,5,1,7]=>[4,6,5,2,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,3,6,5,7,1]=>[4,6,5,2,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,3,6,7,1,5]=>[4,6,5,2,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,3,6,7,5,1]=>[4,6,5,2,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,3,7,1,5,6]=>[4,6,5,1,7,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[[],[]],[]]],[[[],[]],[[],[]]]]
[4,2,3,7,1,6,5]=>[4,6,5,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[[],[[],[]]]],[[[],[]],[[],[]]]]
[4,2,3,7,5,1,6]=>[4,6,5,1,3,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[[],[]],[]]],[[[],[]],[[],[]]]]
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[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]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[[],[]],[]]],[[],[[],[[],[]]]]]
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[4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[[],[[],[]]]],[[],[[[],[]],[]]]]
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[4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[[],[[],[]]]],[[],[[],[[],[]]]]]
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[4,5,1,2,3,7,6]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[[],[]]],[]],[[[[],[]],[]],[]]]
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[4,5,2,1,3,7,6]=>[4,3,6,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[],[]]]]
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[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]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[[],[]]],[]],[[],[[[],[]],[]]]]
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[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]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[],[]],[]],[]],[[],[[[],[]],[]]]]
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[4,5,3,7,1,2,6]=>[4,3,5,1,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[[],[]]],[]],[[],[[[],[]],[]]]]
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[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]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[]],[[],[]]]]
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[4,5,6,3,1,2,7]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[],[]],[]],[]],[[],[[[],[]],[]]]]
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[4,5,6,3,2,1,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[],[]],[]],[]],[[],[[],[[],[]]]]]
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[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]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[]],[[],[]]]]
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[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]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[[],[]]],[]],[[],[[[],[]],[]]]]
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[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]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[[],[]]],[]],[[],[[[],[]],[]]]]
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[4,5,7,6,1,2,3]=>[4,3,1,2,7,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[[],[]]],[]],[[[[],[]],[]],[]]]
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[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]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[],[]]]]
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[4,6,1,2,3,5,7]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]
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[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]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[]]]
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[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]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[],[]],[]],[[[[],[]],[[],[]]],[]]]
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[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]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[],[]],[]],[[[],[]],[[],[[],[]]]]]
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[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]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[],[]],[]],[[],[[[],[[],[]]],[]]]]
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[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]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[[],[]]],[[[],[]],[[[],[]],[]]]]
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[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]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[[],[]]],[[[],[]],[[[],[]],[]]]]
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[5,7,3,4,2,6,1]=>[3,1,5,4,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[[],[]]],[[[],[]],[[],[[],[]]]]]
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[5,7,3,6,1,2,4]=>[3,1,5,2,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[[],[]]],[[[],[]],[[[],[]],[]]]]
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[5,7,3,6,2,4,1]=>[3,1,5,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[[],[]]],[[[],[]],[[],[[],[]]]]]
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[5,7,4,1,3,6,2]=>[3,1,4,7,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[[],[]]],[[],[[[],[[],[]]],[]]]]
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[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]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[],[[],[]]],[[],[[],[[],[[],[]]]]]]
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[5,7,4,6,1,2,3]=>[3,1,4,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[[],[]]],[[],[[[[],[]],[]],[]]]]
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[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]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[[],[]]],[[[],[]],[[[],[]],[]]]]
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[6,1,7,3,4,5,2]=>[2,7,1,5,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[],[]],[[[[[],[]],[]],[[],[]]],[]]]
[6,1,7,3,5,2,4]=>[2,7,1,5,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[],[]],[[[[],[[],[]]],[[],[]]],[]]]
[6,1,7,3,5,4,2]=>[2,7,1,5,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[],[]],[[[[],[[],[]]],[[],[]]],[]]]
[6,1,7,4,2,3,5]=>[2,7,1,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[],[]],[[[[],[]],[[[],[]],[]]],[]]]
[6,1,7,4,2,5,3]=>[2,7,1,4,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[],[]],[[[[],[]],[[[],[]],[]]],[]]]
[6,1,7,4,3,2,5]=>[2,7,1,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[],[]],[[[[],[]],[[],[[],[]]]],[]]]
[6,1,7,4,3,5,2]=>[2,7,1,4,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[],[]],[[[[],[]],[[],[[],[]]]],[]]]
[6,1,7,4,5,2,3]=>[2,7,1,4,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[],[]],[[[[],[]],[[[],[]],[]]],[]]]
[6,1,7,4,5,3,2]=>[2,7,1,4,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[],[]],[[[[],[]],[[],[[],[]]]],[]]]
[6,1,7,5,2,3,4]=>[2,7,1,3,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>[[[],[]],[[[],[[[[],[]],[]],[]]],[]]]
[6,1,7,5,2,4,3]=>[2,7,1,3,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>[[[],[]],[[[],[[[],[[],[]]],[]]],[]]]
[6,1,7,5,3,2,4]=>[2,7,1,3,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[],[]],[[[],[[[],[]],[[],[]]]],[]]]
[6,1,7,5,3,4,2]=>[2,7,1,3,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[],[]],[[[],[[[],[]],[[],[]]]],[]]]
[6,1,7,5,4,2,3]=>[2,7,1,3,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>[[[],[]],[[[],[[],[[[],[]],[]]]],[]]]
[6,1,7,5,4,3,2]=>[2,7,1,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[[[],[]],[[[],[[],[[],[[],[]]]]],[]]]
[6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,1,3,4,7,5]=>[2,6,7,5,4,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,1,3,5,4,7]=>[2,6,7,5,3,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,1,3,5,7,4]=>[2,6,7,5,3,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,1,3,7,4,5]=>[2,6,7,5,1,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,1,3,7,5,4]=>[2,6,7,5,1,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,1,4,3,5,7]=>[2,6,7,4,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,1,4,3,7,5]=>[2,6,7,4,5,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,1,4,5,3,7]=>[2,6,7,4,3,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,1,4,5,7,3]=>[2,6,7,4,3,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,1,4,7,3,5]=>[2,6,7,4,1,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,1,4,7,5,3]=>[2,6,7,4,1,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,1,5,3,4,7]=>[2,6,7,3,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,1,5,3,7,4]=>[2,6,7,3,5,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,1,5,4,3,7]=>[2,6,7,3,4,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,1,5,4,7,3]=>[2,6,7,3,4,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,1,5,7,3,4]=>[2,6,7,3,1,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,1,5,7,4,3]=>[2,6,7,3,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,1,7,3,4,5]=>[2,6,7,1,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,1,7,3,5,4]=>[2,6,7,1,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,1,7,4,3,5]=>[2,6,7,1,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,1,7,4,5,3]=>[2,6,7,1,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,1,7,5,3,4]=>[2,6,7,1,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,1,7,5,4,3]=>[2,6,7,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,3,1,4,5,7]=>[2,6,5,7,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,3,1,4,7,5]=>[2,6,5,7,4,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,3,1,5,4,7]=>[2,6,5,7,3,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,3,1,5,7,4]=>[2,6,5,7,3,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,3,1,7,4,5]=>[2,6,5,7,1,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,3,1,7,5,4]=>[2,6,5,7,1,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,3,4,1,5,7]=>[2,6,5,4,7,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,3,4,1,7,5]=>[2,6,5,4,7,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,3,4,5,7,1]=>[2,6,5,4,3,1,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,3,4,7,5,1]=>[2,6,5,4,1,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,3,5,1,4,7]=>[2,6,5,3,7,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,3,5,1,7,4]=>[2,6,5,3,7,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,3,5,4,7,1]=>[2,6,5,3,4,1,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,3,5,7,1,4]=>[2,6,5,3,1,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,3,5,7,4,1]=>[2,6,5,3,1,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,3,7,1,4,5]=>[2,6,5,1,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,3,7,1,5,4]=>[2,6,5,1,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,3,7,4,1,5]=>[2,6,5,1,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,3,7,4,5,1]=>[2,6,5,1,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,3,7,5,4,1]=>[2,6,5,1,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,4,1,3,5,7]=>[2,6,4,7,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,1,3,7,5]=>[2,6,4,7,5,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,1,5,3,7]=>[2,6,4,7,3,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,1,5,7,3]=>[2,6,4,7,3,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,1,7,3,5]=>[2,6,4,7,1,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,1,7,5,3]=>[2,6,4,7,1,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,3,1,5,7]=>[2,6,4,5,7,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,3,1,7,5]=>[2,6,4,5,7,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,3,5,7,1]=>[2,6,4,5,3,1,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,3,7,5,1]=>[2,6,4,5,1,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,5,1,3,7]=>[2,6,4,3,7,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,5,1,7,3]=>[2,6,4,3,7,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,5,3,1,7]=>[2,6,4,3,5,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,5,3,7,1]=>[2,6,4,3,5,1,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,5,7,1,3]=>[2,6,4,3,1,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,5,7,3,1]=>[2,6,4,3,1,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,7,1,3,5]=>[2,6,4,1,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,7,1,5,3]=>[2,6,4,1,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,7,3,1,5]=>[2,6,4,1,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,7,3,5,1]=>[2,6,4,1,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,7,5,1,3]=>[2,6,4,1,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,4,7,5,3,1]=>[2,6,4,1,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,5,1,3,4,7]=>[2,6,3,7,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,5,1,3,7,4]=>[2,6,3,7,5,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,5,1,4,3,7]=>[2,6,3,7,4,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,5,1,4,7,3]=>[2,6,3,7,4,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,5,1,7,3,4]=>[2,6,3,7,1,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,5,1,7,4,3]=>[2,6,3,7,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,5,3,1,4,7]=>[2,6,3,5,7,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,5,3,1,7,4]=>[2,6,3,5,7,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,5,3,4,1,7]=>[2,6,3,5,4,7,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,5,3,4,7,1]=>[2,6,3,5,4,1,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,5,3,7,4,1]=>[2,6,3,5,1,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,5,4,1,3,7]=>[2,6,3,4,7,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,5,4,1,7,3]=>[2,6,3,4,7,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,5,4,3,7,1]=>[2,6,3,4,5,1,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,5,4,7,1,3]=>[2,6,3,4,1,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,5,4,7,3,1]=>[2,6,3,4,1,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,5,7,1,3,4]=>[2,6,3,1,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,5,7,1,4,3]=>[2,6,3,1,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,5,7,3,4,1]=>[2,6,3,1,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,5,7,4,1,3]=>[2,6,3,1,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,5,7,4,3,1]=>[2,6,3,1,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,7,1,3,4,5]=>[2,6,1,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,7,1,3,5,4]=>[2,6,1,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,7,1,4,3,5]=>[2,6,1,7,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,7,1,4,5,3]=>[2,6,1,7,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,7,1,5,4,3]=>[2,6,1,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,7,3,1,4,5]=>[2,6,1,5,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,7,3,1,5,4]=>[2,6,1,5,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,7,3,4,1,5]=>[2,6,1,5,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,7,3,4,5,1]=>[2,6,1,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
[6,2,7,3,5,1,4]=>[2,6,1,5,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,7,3,5,4,1]=>[2,6,1,5,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[]]]]
[6,2,7,4,1,3,5]=>[2,6,1,4,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,7,4,1,5,3]=>[2,6,1,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,7,4,3,1,5]=>[2,6,1,4,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,7,4,3,5,1]=>[2,6,1,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,7,4,5,3,1]=>[2,6,1,4,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,7,5,1,3,4]=>[2,6,1,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,7,5,1,4,3]=>[2,6,1,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,7,5,3,1,4]=>[2,6,1,3,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,7,5,3,4,1]=>[2,6,1,3,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,2,7,5,4,3,1]=>[2,6,1,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,1,2,4,7,5]=>[2,5,7,6,4,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,1,2,5,4,7]=>[2,5,7,6,3,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,1,2,5,7,4]=>[2,5,7,6,3,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,1,2,7,4,5]=>[2,5,7,6,1,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,1,2,7,5,4]=>[2,5,7,6,1,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,1,4,2,5,7]=>[2,5,7,4,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,1,4,2,7,5]=>[2,5,7,4,6,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,1,4,5,2,7]=>[2,5,7,4,3,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,1,4,5,7,2]=>[2,5,7,4,3,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,1,4,7,2,5]=>[2,5,7,4,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,1,5,2,4,7]=>[2,5,7,3,6,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,1,5,2,7,4]=>[2,5,7,3,6,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,1,5,4,2,7]=>[2,5,7,3,4,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,1,5,4,7,2]=>[2,5,7,3,4,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,1,5,7,2,4]=>[2,5,7,3,1,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,1,5,7,4,2]=>[2,5,7,3,1,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,1,7,2,4,5]=>[2,5,7,1,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,1,7,2,5,4]=>[2,5,7,1,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,1,7,4,2,5]=>[2,5,7,1,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,1,7,4,5,2]=>[2,5,7,1,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,1,7,5,2,4]=>[2,5,7,1,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,1,7,5,4,2]=>[2,5,7,1,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,2,1,4,7,5]=>[2,5,6,7,4,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,2,1,5,4,7]=>[2,5,6,7,3,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,2,1,5,7,4]=>[2,5,6,7,3,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,2,1,7,4,5]=>[2,5,6,7,1,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,2,1,7,5,4]=>[2,5,6,7,1,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,2,4,1,5,7]=>[2,5,6,4,7,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,2,4,1,7,5]=>[2,5,6,4,7,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,2,4,5,7,1]=>[2,5,6,4,3,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,2,4,7,5,1]=>[2,5,6,4,1,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,2,5,1,4,7]=>[2,5,6,3,7,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,2,5,1,7,4]=>[2,5,6,3,7,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,2,5,4,7,1]=>[2,5,6,3,4,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,2,5,7,1,4]=>[2,5,6,3,1,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,2,5,7,4,1]=>[2,5,6,3,1,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,2,7,1,4,5]=>[2,5,6,1,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,2,7,1,5,4]=>[2,5,6,1,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,2,7,4,1,5]=>[2,5,6,1,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,2,7,4,5,1]=>[2,5,6,1,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,2,7,5,4,1]=>[2,5,6,1,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,4,1,2,5,7]=>[2,5,4,7,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,4,1,2,7,5]=>[2,5,4,7,6,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,4,1,5,2,7]=>[2,5,4,7,3,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,4,1,5,7,2]=>[2,5,4,7,3,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,4,1,7,2,5]=>[2,5,4,7,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,4,1,7,5,2]=>[2,5,4,7,1,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,4,2,1,5,7]=>[2,5,4,6,7,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,4,2,1,7,5]=>[2,5,4,6,7,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,4,2,5,1,7]=>[2,5,4,6,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,4,2,5,7,1]=>[2,5,4,6,3,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,4,2,7,1,5]=>[2,5,4,6,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,4,2,7,5,1]=>[2,5,4,6,1,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,4,5,1,2,7]=>[2,5,4,3,7,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,4,5,1,7,2]=>[2,5,4,3,7,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,4,5,2,1,7]=>[2,5,4,3,6,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,4,5,2,7,1]=>[2,5,4,3,6,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,4,5,7,1,2]=>[2,5,4,3,1,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,4,5,7,2,1]=>[2,5,4,3,1,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,4,7,1,2,5]=>[2,5,4,1,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,4,7,1,5,2]=>[2,5,4,1,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,4,7,2,1,5]=>[2,5,4,1,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,4,7,2,5,1]=>[2,5,4,1,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,4,7,5,1,2]=>[2,5,4,1,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,4,7,5,2,1]=>[2,5,4,1,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,5,1,2,4,7]=>[2,5,3,7,6,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,5,1,2,7,4]=>[2,5,3,7,6,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,5,1,4,2,7]=>[2,5,3,7,4,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,5,1,4,7,2]=>[2,5,3,7,4,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,5,1,7,2,4]=>[2,5,3,7,1,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,5,1,7,4,2]=>[2,5,3,7,1,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,5,2,1,4,7]=>[2,5,3,6,7,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,5,2,1,7,4]=>[2,5,3,6,7,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,5,2,4,1,7]=>[2,5,3,6,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,5,2,4,7,1]=>[2,5,3,6,4,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,5,2,7,1,4]=>[2,5,3,6,1,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,5,2,7,4,1]=>[2,5,3,6,1,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,5,4,1,2,7]=>[2,5,3,4,7,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,5,4,1,7,2]=>[2,5,3,4,7,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,5,4,2,1,7]=>[2,5,3,4,6,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,5,4,2,7,1]=>[2,5,3,4,6,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,5,4,7,1,2]=>[2,5,3,4,1,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,5,4,7,2,1]=>[2,5,3,4,1,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,5,7,1,2,4]=>[2,5,3,1,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,5,7,1,4,2]=>[2,5,3,1,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,5,7,2,1,4]=>[2,5,3,1,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,5,7,2,4,1]=>[2,5,3,1,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,5,7,4,1,2]=>[2,5,3,1,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,5,7,4,2,1]=>[2,5,3,1,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,7,1,2,4,5]=>[2,5,1,7,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,7,1,2,5,4]=>[2,5,1,7,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,7,1,4,2,5]=>[2,5,1,7,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,7,1,4,5,2]=>[2,5,1,7,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,7,1,5,2,4]=>[2,5,1,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,7,1,5,4,2]=>[2,5,1,7,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,7,2,1,4,5]=>[2,5,1,6,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,7,2,1,5,4]=>[2,5,1,6,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,7,2,4,1,5]=>[2,5,1,6,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,7,2,4,5,1]=>[2,5,1,6,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,7,2,5,1,4]=>[2,5,1,6,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,7,2,5,4,1]=>[2,5,1,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,7,4,1,2,5]=>[2,5,1,4,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,7,4,2,1,5]=>[2,5,1,4,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,7,4,2,5,1]=>[2,5,1,4,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,7,4,5,1,2]=>[2,5,1,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[6,3,7,4,5,2,1]=>[2,5,1,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
[6,3,7,5,1,2,4]=>[2,5,1,3,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,7,5,1,4,2]=>[2,5,1,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,7,5,2,1,4]=>[2,5,1,3,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,7,5,2,4,1]=>[2,5,1,3,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,7,5,4,1,2]=>[2,5,1,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,3,7,5,4,2,1]=>[2,5,1,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,1,2,3,7,5]=>[2,4,7,6,5,1,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,1,2,5,3,7]=>[2,4,7,6,3,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,1,2,5,7,3]=>[2,4,7,6,3,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,1,2,7,3,5]=>[2,4,7,6,1,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,1,2,7,5,3]=>[2,4,7,6,1,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,1,3,2,5,7]=>[2,4,7,5,6,3,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,1,3,2,7,5]=>[2,4,7,5,6,1,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,1,3,5,2,7]=>[2,4,7,5,3,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,1,3,5,7,2]=>[2,4,7,5,3,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,1,3,7,2,5]=>[2,4,7,5,1,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,1,3,7,5,2]=>[2,4,7,5,1,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,1,5,2,3,7]=>[2,4,7,3,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,1,5,2,7,3]=>[2,4,7,3,6,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,1,5,3,2,7]=>[2,4,7,3,5,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,1,5,3,7,2]=>[2,4,7,3,5,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,1,5,7,2,3]=>[2,4,7,3,1,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,1,5,7,3,2]=>[2,4,7,3,1,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,1,7,2,3,5]=>[2,4,7,1,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,1,7,2,5,3]=>[2,4,7,1,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,1,7,3,2,5]=>[2,4,7,1,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,1,7,3,5,2]=>[2,4,7,1,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,1,7,5,2,3]=>[2,4,7,1,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,1,7,5,3,2]=>[2,4,7,1,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,1,3,7,5]=>[2,4,6,7,5,1,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,1,5,3,7]=>[2,4,6,7,3,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,1,5,7,3]=>[2,4,6,7,3,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,1,7,3,5]=>[2,4,6,7,1,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,1,7,5,3]=>[2,4,6,7,1,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,3,1,5,7]=>[2,4,6,5,7,3,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,3,1,7,5]=>[2,4,6,5,7,1,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,3,5,1,7]=>[2,4,6,5,3,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,3,5,7,1]=>[2,4,6,5,3,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,3,7,1,5]=>[2,4,6,5,1,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,3,7,5,1]=>[2,4,6,5,1,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,5,1,3,7]=>[2,4,6,3,7,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,5,1,7,3]=>[2,4,6,3,7,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,5,3,1,7]=>[2,4,6,3,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,5,3,7,1]=>[2,4,6,3,5,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,5,7,1,3]=>[2,4,6,3,1,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,5,7,3,1]=>[2,4,6,3,1,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,7,1,3,5]=>[2,4,6,1,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,7,1,5,3]=>[2,4,6,1,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,7,3,1,5]=>[2,4,6,1,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,7,3,5,1]=>[2,4,6,1,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,7,5,1,3]=>[2,4,6,1,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,2,7,5,3,1]=>[2,4,6,1,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,3,1,2,7,5]=>[2,4,5,7,6,1,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,3,1,5,2,7]=>[2,4,5,7,3,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,3,1,5,7,2]=>[2,4,5,7,3,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,3,1,7,2,5]=>[2,4,5,7,1,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,3,1,7,5,2]=>[2,4,5,7,1,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,3,2,1,7,5]=>[2,4,5,6,7,1,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,3,2,5,7,1]=>[2,4,5,6,3,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,3,2,7,5,1]=>[2,4,5,6,1,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,3,5,1,2,7]=>[2,4,5,3,7,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,3,5,1,7,2]=>[2,4,5,3,7,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,3,5,2,1,7]=>[2,4,5,3,6,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,3,5,2,7,1]=>[2,4,5,3,6,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,3,5,7,1,2]=>[2,4,5,3,1,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,3,5,7,2,1]=>[2,4,5,3,1,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,3,7,1,2,5]=>[2,4,5,1,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,3,7,1,5,2]=>[2,4,5,1,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,3,7,2,1,5]=>[2,4,5,1,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,3,7,2,5,1]=>[2,4,5,1,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,3,7,5,1,2]=>[2,4,5,1,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,3,7,5,2,1]=>[2,4,5,1,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,5,1,2,3,7]=>[2,4,3,7,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,5,1,2,7,3]=>[2,4,3,7,6,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,5,1,3,2,7]=>[2,4,3,7,5,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,5,1,3,7,2]=>[2,4,3,7,5,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,5,1,7,2,3]=>[2,4,3,7,1,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,5,1,7,3,2]=>[2,4,3,7,1,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,5,2,1,3,7]=>[2,4,3,6,7,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,5,2,1,7,3]=>[2,4,3,6,7,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,5,2,3,7,1]=>[2,4,3,6,5,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,5,2,7,1,3]=>[2,4,3,6,1,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,5,2,7,3,1]=>[2,4,3,6,1,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,5,3,1,2,7]=>[2,4,3,5,7,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,5,3,1,7,2]=>[2,4,3,5,7,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,5,3,2,1,7]=>[2,4,3,5,6,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,5,3,2,7,1]=>[2,4,3,5,6,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,5,3,7,1,2]=>[2,4,3,5,1,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,5,3,7,2,1]=>[2,4,3,5,1,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,5,7,1,2,3]=>[2,4,3,1,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,5,7,1,3,2]=>[2,4,3,1,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,5,7,2,1,3]=>[2,4,3,1,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,5,7,2,3,1]=>[2,4,3,1,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,5,7,3,1,2]=>[2,4,3,1,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,5,7,3,2,1]=>[2,4,3,1,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,7,1,2,3,5]=>[2,4,1,7,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,7,1,2,5,3]=>[2,4,1,7,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,7,1,3,2,5]=>[2,4,1,7,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,7,1,3,5,2]=>[2,4,1,7,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,7,1,5,2,3]=>[2,4,1,7,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,7,1,5,3,2]=>[2,4,1,7,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,7,2,1,3,5]=>[2,4,1,6,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,7,2,1,5,3]=>[2,4,1,6,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,7,2,3,1,5]=>[2,4,1,6,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,7,2,3,5,1]=>[2,4,1,6,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,7,2,5,3,1]=>[2,4,1,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,7,3,1,2,5]=>[2,4,1,5,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,7,3,1,5,2]=>[2,4,1,5,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,7,3,2,1,5]=>[2,4,1,5,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,7,3,2,5,1]=>[2,4,1,5,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,7,3,5,1,2]=>[2,4,1,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,7,3,5,2,1]=>[2,4,1,5,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,4,7,5,1,2,3]=>[2,4,1,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,7,5,1,3,2]=>[2,4,1,3,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,4,7,5,2,1,3]=>[2,4,1,3,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,7,5,2,3,1]=>[2,4,1,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,4,7,5,3,1,2]=>[2,4,1,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,7,5,3,2,1]=>[2,4,1,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>[[[],[]],[[],[[[[[],[]],[]],[]],[]]]]
[6,5,1,2,3,7,4]=>[2,3,7,6,5,1,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>[[[],[]],[[],[[[[[],[]],[]],[]],[]]]]
[6,5,1,2,4,3,7]=>[2,3,7,6,4,5,1]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>[[[],[]],[[],[[[[],[[],[]]],[]],[]]]]
[6,5,1,2,4,7,3]=>[2,3,7,6,4,1,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>[[[],[]],[[],[[[[],[[],[]]],[]],[]]]]
[6,5,1,2,7,3,4]=>[2,3,7,6,1,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>[[[],[]],[[],[[[[[],[]],[]],[]],[]]]]
[6,5,1,2,7,4,3]=>[2,3,7,6,1,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>[[[],[]],[[],[[[[],[[],[]]],[]],[]]]]
[6,5,1,3,2,4,7]=>[2,3,7,5,6,4,1]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[],[]],[[],[[[[],[]],[[],[]]],[]]]]
[6,5,1,3,2,7,4]=>[2,3,7,5,6,1,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[],[]],[[],[[[[],[]],[[],[]]],[]]]]
[6,5,1,3,4,2,7]=>[2,3,7,5,4,6,1]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[],[]],[[],[[[[],[]],[[],[]]],[]]]]
[6,5,1,3,4,7,2]=>[2,3,7,5,4,1,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[],[]],[[],[[[[],[]],[[],[]]],[]]]]
[6,5,1,3,7,2,4]=>[2,3,7,5,1,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[],[]],[[],[[[[],[]],[[],[]]],[]]]]
[6,5,1,3,7,4,2]=>[2,3,7,5,1,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[],[]],[[],[[[[],[]],[[],[]]],[]]]]
[6,5,1,4,2,3,7]=>[2,3,7,4,6,5,1]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>[[[],[]],[[],[[[],[[[],[]],[]]],[]]]]
[6,5,1,4,2,7,3]=>[2,3,7,4,6,1,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>[[[],[]],[[],[[[],[[[],[]],[]]],[]]]]
[6,5,1,4,3,2,7]=>[2,3,7,4,5,6,1]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[[[],[]],[[],[[[],[[],[[],[]]]],[]]]]
[6,5,1,4,3,7,2]=>[2,3,7,4,5,1,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[[[],[]],[[],[[[],[[],[[],[]]]],[]]]]
[6,5,1,4,7,2,3]=>[2,3,7,4,1,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>[[[],[]],[[],[[[],[[[],[]],[]]],[]]]]
[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[[[],[]],[[],[[[],[[],[[],[]]]],[]]]]
[6,5,1,7,2,3,4]=>[2,3,7,1,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>[[[],[]],[[],[[[[[],[]],[]],[]],[]]]]
[6,5,1,7,2,4,3]=>[2,3,7,1,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>[[[],[]],[[],[[[[],[[],[]]],[]],[]]]]
[6,5,1,7,3,2,4]=>[2,3,7,1,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[],[]],[[],[[[[],[]],[[],[]]],[]]]]
[6,5,1,7,3,4,2]=>[2,3,7,1,5,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>[[[],[]],[[],[[[[],[]],[[],[]]],[]]]]
[6,5,1,7,4,2,3]=>[2,3,7,1,4,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>[[[],[]],[[],[[[],[[[],[]],[]]],[]]]]
[6,5,1,7,4,3,2]=>[2,3,7,1,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[[[],[]],[[],[[[],[[],[[],[]]]],[]]]]
[6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[[],[[[[],[]],[]],[[],[]]]]]
[6,5,2,1,3,7,4]=>[2,3,6,7,5,1,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[[],[[[[],[]],[]],[[],[]]]]]
[6,5,2,1,4,3,7]=>[2,3,6,7,4,5,1]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[[],[[[],[[],[]]],[[],[]]]]]
[6,5,2,1,4,7,3]=>[2,3,6,7,4,1,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[[],[[[],[[],[]]],[[],[]]]]]
[6,5,2,1,7,3,4]=>[2,3,6,7,1,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[[],[[[[],[]],[]],[[],[]]]]]
[6,5,2,1,7,4,3]=>[2,3,6,7,1,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[[],[[[],[[],[]]],[[],[]]]]]
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[6,5,2,3,1,7,4]=>[2,3,6,5,7,1,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[[],[[[[],[]],[]],[[],[]]]]]
[6,5,2,3,4,1,7]=>[2,3,6,5,4,7,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[[],[[[[],[]],[]],[[],[]]]]]
[6,5,2,3,4,7,1]=>[2,3,6,5,4,1,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[[],[[[[],[]],[]],[[],[]]]]]
[6,5,2,3,7,1,4]=>[2,3,6,5,1,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[[],[[[[],[]],[]],[[],[]]]]]
[6,5,2,3,7,4,1]=>[2,3,6,5,1,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[[],[[[[],[]],[]],[[],[]]]]]
[6,5,2,4,1,3,7]=>[2,3,6,4,7,5,1]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[[],[[[],[[],[]]],[[],[]]]]]
[6,5,2,4,1,7,3]=>[2,3,6,4,7,1,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[[],[[[],[[],[]]],[[],[]]]]]
[6,5,2,4,3,1,7]=>[2,3,6,4,5,7,1]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[[],[[[],[[],[]]],[[],[]]]]]
[6,5,2,4,3,7,1]=>[2,3,6,4,5,1,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[[],[[[],[[],[]]],[[],[]]]]]
[6,5,2,4,7,1,3]=>[2,3,6,4,1,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[[],[[[],[[],[]]],[[],[]]]]]
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[6,5,2,7,1,3,4]=>[2,3,6,1,7,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[[],[[[[],[]],[]],[[],[]]]]]
[6,5,2,7,1,4,3]=>[2,3,6,1,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[[],[[[],[[],[]]],[[],[]]]]]
[6,5,2,7,3,1,4]=>[2,3,6,1,5,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[[],[[[[],[]],[]],[[],[]]]]]
[6,5,2,7,3,4,1]=>[2,3,6,1,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[[],[[[[],[]],[]],[[],[]]]]]
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[6,5,2,7,4,3,1]=>[2,3,6,1,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[[[],[]],[[],[[[],[[],[]]],[[],[]]]]]
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[6,5,3,1,4,7,2]=>[2,3,5,7,4,1,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[[],[[[],[]],[[[],[]],[]]]]]
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[6,5,3,2,1,7,4]=>[2,3,5,6,7,1,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[[],[[[],[]],[[],[[],[]]]]]]
[6,5,3,2,4,1,7]=>[2,3,5,6,4,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[[],[[[],[]],[[],[[],[]]]]]]
[6,5,3,2,4,7,1]=>[2,3,5,6,4,1,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[[],[[[],[]],[[],[[],[]]]]]]
[6,5,3,2,7,1,4]=>[2,3,5,6,1,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[[],[[[],[]],[[],[[],[]]]]]]
[6,5,3,2,7,4,1]=>[2,3,5,6,1,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[[],[[[],[]],[[],[[],[]]]]]]
[6,5,3,4,1,2,7]=>[2,3,5,4,7,6,1]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[[],[[[],[]],[[[],[]],[]]]]]
[6,5,3,4,1,7,2]=>[2,3,5,4,7,1,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[[],[[[],[]],[[[],[]],[]]]]]
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[6,5,3,4,2,7,1]=>[2,3,5,4,6,1,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[[],[[[],[]],[[],[[],[]]]]]]
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[6,5,3,7,1,2,4]=>[2,3,5,1,7,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>[[[],[]],[[],[[[],[]],[[[],[]],[]]]]]
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[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[[],[[[],[]],[[],[[],[]]]]]]
[6,5,3,7,2,4,1]=>[2,3,5,1,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[[],[[[],[]],[[],[[],[]]]]]]
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[6,5,4,2,1,7,3]=>[2,3,4,6,7,1,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[],[]],[[],[[],[[[],[]],[[],[]]]]]]
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[6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[[[],[]],[[],[[],[[],[[],[[],[]]]]]]]
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[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]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[[[],[]],[[],[[],[[[],[]],[[],[]]]]]]
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[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]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>[[[],[]],[[],[[[],[[[],[]],[]]],[]]]]
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[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]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[[[],[]],[[],[[[],[]],[[],[[],[]]]]]]
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[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]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[[[],[]],[[],[[],[[],[[],[[],[]]]]]]]
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[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]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>[[[],[]],[[[[],[[[],[]],[]]],[]],[]]]
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[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]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[],[]],[[[[[],[]],[]],[[],[]]],[]]]
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[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]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[],[]],[[[[],[]],[[],[[],[]]]],[]]]
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[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]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>[[[],[]],[[[],[[[],[[],[]]],[]]],[]]]
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[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]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[]]]]]
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[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]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[],[[[],[[[],[]],[[],[]]]],[[],[]]]]
[7,2,6,4,3,1,5]=>[1,6,2,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[],[[[],[[[],[]],[[],[]]]],[[],[]]]]
[7,2,6,4,3,5,1]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[],[[[],[[[],[]],[[],[]]]],[[],[]]]]
[7,2,6,4,5,1,3]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[],[[[],[[[],[]],[[],[]]]],[[],[]]]]
[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[],[[[],[[[],[]],[[],[]]]],[[],[]]]]
[7,2,6,5,1,3,4]=>[1,6,2,3,7,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[],[[[],[[],[[[],[]],[]]]],[[],[]]]]
[7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[],[[[],[[],[[],[[],[]]]]],[[],[]]]]
[7,2,6,5,3,1,4]=>[1,6,2,3,5,7,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[],[[[],[[],[[[],[]],[]]]],[[],[]]]]
[7,2,6,5,3,4,1]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[],[[[],[[],[[[],[]],[]]]],[[],[]]]]
[7,2,6,5,4,1,3]=>[1,6,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[],[[[],[[],[[],[[],[]]]]],[[],[]]]]
[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[],[[[],[[],[[],[[],[]]]]],[[],[]]]]
[7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>[[],[[[[[],[]],[]],[]],[[[],[]],[]]]]
[7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>[[],[[[[],[[],[]]],[]],[[[],[]],[]]]]
[7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[7,3,1,2,5,6,4]=>[1,5,7,6,3,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[7,3,1,2,6,4,5]=>[1,5,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>[[],[[[],[[[],[]],[]]],[[[],[]],[]]]]
[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[[],[[[],[[],[[],[]]]],[[[],[]],[]]]]
[7,3,1,4,2,5,6]=>[1,5,7,4,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>[[],[[[[[],[]],[]],[]],[[[],[]],[]]]]
[7,3,1,4,2,6,5]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>[[],[[[[],[[],[]]],[]],[[[],[]],[]]]]
[7,3,1,4,5,2,6]=>[1,5,7,4,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>[[],[[[[[],[]],[]],[]],[[[],[]],[]]]]
[7,3,1,4,5,6,2]=>[1,5,7,4,3,2,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>[[],[[[[[],[]],[]],[]],[[[],[]],[]]]]
[7,3,1,4,6,2,5]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>[[],[[[[],[[],[]]],[]],[[[],[]],[]]]]
[7,3,1,4,6,5,2]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>[[],[[[[],[[],[]]],[]],[[[],[]],[]]]]
[7,3,1,5,2,4,6]=>[1,5,7,3,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[7,3,1,5,2,6,4]=>[1,5,7,3,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[7,3,1,5,4,2,6]=>[1,5,7,3,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[7,3,1,5,4,6,2]=>[1,5,7,3,4,2,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[7,3,1,5,6,2,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[7,3,1,5,6,4,2]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[7,3,1,6,2,4,5]=>[1,5,7,2,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>[[],[[[],[[[],[]],[]]],[[[],[]],[]]]]
[7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[[],[[[],[[],[[],[]]]],[[[],[]],[]]]]
[7,3,1,6,4,2,5]=>[1,5,7,2,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>[[],[[[],[[[],[]],[]]],[[[],[]],[]]]]
[7,3,1,6,4,5,2]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>[[],[[[],[[[],[]],[]]],[[[],[]],[]]]]
[7,3,1,6,5,2,4]=>[1,5,7,2,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[[],[[[],[[],[[],[]]]],[[[],[]],[]]]]
[7,3,1,6,5,4,2]=>[1,5,7,2,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[[],[[[],[[],[[],[]]]],[[[],[]],[]]]]
[7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[],[[[[[],[]],[]],[]],[[],[[],[]]]]]
[7,3,2,1,4,6,5]=>[1,5,6,7,4,2,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[[],[[[[],[[],[]]],[]],[[],[[],[]]]]]
[7,3,2,1,5,4,6]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[],[[[[],[]],[[],[]]],[[],[[],[]]]]]
[7,3,2,1,5,6,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[],[[[[],[]],[[],[]]],[[],[[],[]]]]]
[7,3,2,1,6,4,5]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[[],[[[],[[[],[]],[]]],[[],[[],[]]]]]
[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[[],[[[],[[],[[],[]]]],[[],[[],[]]]]]
[7,3,2,4,1,5,6]=>[1,5,6,4,7,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[],[[[[[],[]],[]],[]],[[],[[],[]]]]]
[7,3,2,4,1,6,5]=>[1,5,6,4,7,2,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[[],[[[[],[[],[]]],[]],[[],[[],[]]]]]
[7,3,2,4,5,1,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[],[[[[[],[]],[]],[]],[[],[[],[]]]]]
[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[],[[[[[],[]],[]],[]],[[],[[],[]]]]]
[7,3,2,4,6,1,5]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[[],[[[[],[[],[]]],[]],[[],[[],[]]]]]
[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[[],[[[[],[[],[]]],[]],[[],[[],[]]]]]
[7,3,2,5,1,4,6]=>[1,5,6,3,7,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[],[[[[],[]],[[],[]]],[[],[[],[]]]]]
[7,3,2,5,1,6,4]=>[1,5,6,3,7,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[],[[[[],[]],[[],[]]],[[],[[],[]]]]]
[7,3,2,5,4,1,6]=>[1,5,6,3,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[],[[[[],[]],[[],[]]],[[],[[],[]]]]]
[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[],[[[[],[]],[[],[]]],[[],[[],[]]]]]
[7,3,2,5,6,1,4]=>[1,5,6,3,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[],[[[[],[]],[[],[]]],[[],[[],[]]]]]
[7,3,2,5,6,4,1]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[],[[[[],[]],[[],[]]],[[],[[],[]]]]]
[7,3,2,6,1,4,5]=>[1,5,6,2,7,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[[],[[[],[[[],[]],[]]],[[],[[],[]]]]]
[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[[],[[[],[[],[[],[]]]],[[],[[],[]]]]]
[7,3,2,6,4,1,5]=>[1,5,6,2,4,7,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[[],[[[],[[[],[]],[]]],[[],[[],[]]]]]
[7,3,2,6,4,5,1]=>[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[[],[[[],[[[],[]],[]]],[[],[[],[]]]]]
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[5,4,6,7,8,3,2,1]=>[4,5,3,2,1,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[],[]],[]],[]],[[],[[],[[],[[],[]]]]]]
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[7,6,5,8,3,4,2,1]=>[2,3,4,1,6,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[[],[]],[[],[[],[[[],[]],[[],[[],[]]]]]]]
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[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[],[[],[[],[[[],[]],[[],[[],[[],[]]]]]]]]
[6,7,8,4,3,5,2,1]=>[3,2,1,5,6,4,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[],[]],[]],[[[],[]],[[],[[],[[],[]]]]]]
[7,6,8,3,4,5,2,1]=>[2,3,1,6,5,4,7,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[[[],[]],[[],[[[[],[]],[]],[[],[[],[]]]]]]
[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[[],[[],[[[],[]],[[],[[],[[],[[],[]]]]]]]]
[7,8,5,3,4,6,2,1]=>[2,1,4,6,5,3,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[[],[]]]]]]
[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]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[[],[[],[[[[[],[]],[]],[]],[[],[[],[]]]]]]
[8,4,5,6,3,7,2,1]=>[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]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[[],[[[[],[]],[]],[[],[[],[[],[[],[]]]]]]]
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[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]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[],[]],[]],[]],[]],[[],[[],[[],[]]]]]
[5,6,7,3,4,8,2,1]=>[4,3,2,6,5,1,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[],[]],[]],[]],[[[],[]],[[],[[],[]]]]]
[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]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[],[]],[]],[]],[]],[[],[[],[[],[]]]]]
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[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[[],[[],[[],[[],[[],[[[],[]],[[],[]]]]]]]]
[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[[],[[[],[]],[[],[[],[[[],[]],[[],[]]]]]]]
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[8,7,6,4,5,2,3,1]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[[],[[],[[],[[[],[]],[[[],[]],[[],[]]]]]]]
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[8,7,6,5,3,2,4,1]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[[],[[],[[],[[],[[[],[]],[[],[[],[]]]]]]]]
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[8,7,5,6,3,2,4,1]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[[],[[],[[[],[]],[[[],[]],[[],[[],[]]]]]]]
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[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]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[[],[]],[[],[[],[[[],[]],[[],[[],[]]]]]]]
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[8,7,6,5,2,3,4,1]=>[1,2,3,4,7,6,5,8]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[[],[[],[[],[[],[[[[],[]],[]],[[],[]]]]]]]
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[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]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[[],[[],[[],[[[],[]],[[],[[],[[],[]]]]]]]]
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[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[[],[[[],[]],[[],[[],[[],[[],[[],[]]]]]]]]
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[2,4,6,5,3,1,8,7]=>[7,5,3,4,6,8,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]]
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[1,4,3,2,6,5,8,7]=>[8,5,6,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[[[[[],[[],[]]],[[],[]]],[[],[[],[]]]],[]]
[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]]
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[2,1,5,4,3,6,8,7]=>[7,8,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[[[[[],[[],[]]],[]],[[],[[],[]]]],[[],[]]]
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[1,4,6,5,7,3,2,8]=>[8,5,3,4,2,6,7,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[[[[[],[]],[]],[[],[]]],[[],[[],[]]]],[]]
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[1,5,4,6,3,7,2,8]=>[8,4,5,3,6,2,7,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[[[[[[],[]],[]],[]],[[],[[],[[],[]]]]],[]]
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[1,2,4,6,7,5,3,8]=>[8,7,5,3,2,4,6,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[],[]],[]],[[],[]]],[[],[]]],[]],[]]
[1,2,4,6,5,7,3,8]=>[8,7,5,3,4,2,6,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[[[[[[],[]],[]],[[],[]]],[[],[]]],[]],[]]
[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]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[[[[[],[]],[]],[[],[[],[]]]],[]],[[],[]]]
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[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]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[[[[[[],[]],[]],[]],[[],[]]],[[],[]]],[]]
[2,1,3,5,6,7,4,8]=>[7,8,6,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[],[]],[]],[]],[[],[]]],[]],[[],[]]]
[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[[[[[[],[]],[[],[[],[[],[]]]]],[]],[]],[]]
[1,2,3,6,5,7,4,8]=>[8,7,6,3,4,2,5,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[[[[[[[],[]],[]],[[],[[],[]]]],[]],[]],[]]
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[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]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[[[[[],[]],[[],[[],[]]]],[]],[]],[[],[]]]
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[1,4,3,2,6,7,5,8]=>[8,5,6,7,3,2,4,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[[[[[],[]],[]],[[],[]]],[[],[[],[]]]],[]]
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[1,3,2,4,6,7,5,8]=>[8,6,7,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[[[[[[],[]],[]],[[],[]]],[]],[[],[]]],[]]
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[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]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[[[[[[[],[]],[[],[]]],[]],[]],[[],[]]],[]]
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[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[[[[[[[],[]],[[],[]]],[]],[]],[[],[]]],[]]
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[1,3,2,4,5,6,7,8]=>[8,6,7,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[[[[[[[[],[]],[]],[]],[]],[]],[[],[]]],[]]
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[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>[[[[],[[[],[]],[[],[[],[]]]]],[[],[]]],[]]
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[1,3,4,5,8,6,7,2]=>[8,6,5,4,1,3,2,7]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[[[[[[],[[[],[]],[]]],[]],[]],[[],[]]],[]]
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[1,3,4,8,5,6,7,2]=>[8,6,5,1,4,3,2,7]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[[[[[],[[[[],[]],[]],[]]],[]],[[],[]]],[]]
[1,3,4,8,6,7,5,2]=>[8,6,5,1,3,2,4,7]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>[[[[[],[[[],[]],[[],[]]]],[]],[[],[]]],[]]
[1,3,6,4,5,8,7,2]=>[8,6,3,5,4,1,2,7]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>[[[[[],[[],[]]],[[[],[]],[]]],[[],[]]],[]]
[1,3,8,4,5,6,7,2]=>[8,6,1,5,4,3,2,7]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[[[[],[[[[[],[]],[]],[]],[]]],[[],[]]],[]]
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[2,8,5,4,7,6,3,1]=>[7,1,4,5,2,3,6,8]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[[[],[[[],[[],[]]],[[],[[],[]]]]],[[],[]]]
[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>[[[[],[[[],[]],[[],[]]]],[]],[[],[[],[]]]]
[3,2,1,5,8,6,7,4]=>[6,7,8,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[[],[]]]]
[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[[],[]]]]
[3,2,1,7,5,6,8,4]=>[6,7,8,2,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[[],[]]]]
[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[[[],[[[[],[]],[]],[[],[]]]],[[],[[],[]]]]
[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[[],[]]]]
[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[[],[]]]]
[3,2,1,8,6,7,5,4]=>[6,7,8,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[[],[]]]]
[3,2,4,1,8,6,7,5]=>[6,7,5,8,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>[[[[],[[[],[]],[[],[]]]],[]],[[],[[],[]]]]
[3,2,4,8,5,6,7,1]=>[6,7,5,1,4,3,2,8]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[[[[],[[[[],[]],[]],[]]],[]],[[],[[],[]]]]
[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]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[[],[]]]]
[3,2,7,5,4,6,8,1]=>[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]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[[],[]]]]
[4,2,3,1,6,5,8,7]=>[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]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[],[]],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,3,1,7,6,8,5]=>[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]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[],[[],[[],[[],[]]]]],[[[],[]],[[],[]]]]
[4,2,3,5,1,8,7,6]=>[5,7,6,4,8,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[],[[],[[],[]]]],[]],[[[],[]],[[],[]]]]
[4,2,3,5,6,1,8,7]=>[5,7,6,4,3,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[[[],[[],[]]],[]],[]],[[[],[]],[[],[]]]]
[4,2,3,8,5,6,7,1]=>[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]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[],[[],[[],[[],[]]]]],[[[],[]],[[],[]]]]
[5,2,3,4,1,7,8,6]=>[4,7,6,5,8,2,1,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[],[]],[[],[]]],[[[[],[]],[]],[[],[]]]]
[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[[],[[],[]]]],[[[[],[]],[]],[[],[]]]]
[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[[[[],[]],[]],[[[[],[[],[]]],[]],[[],[]]]]
[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]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[[[],[]],[[[[],[[],[[],[]]]],[]],[[],[]]]]
[8,2,3,7,5,6,4,1]=>[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]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[[],[[],[]]],[]],[[[],[[],[]]],[[],[]]]]
[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[[],[[],[]]]],[[[],[[],[]]],[[],[]]]]
[5,2,4,3,6,1,7,8]=>[4,7,5,6,3,8,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[[],[]]],[[],[]]]]
[5,2,4,3,6,7,8,1]=>[4,7,5,6,3,2,1,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[[],[]]],[[],[]]]]
[5,2,4,3,7,6,1,8]=>[4,7,5,6,2,3,8,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[[],[]]]]
[6,2,4,3,5,7,8,1]=>[3,7,5,6,4,2,1,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[],[]],[]],[[[[],[]],[[],[]]],[[],[]]]]
[8,2,4,3,6,7,5,1]=>[1,7,5,6,3,2,4,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[],[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]]
[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]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[[],[]]],[[],[]]]]
[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]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[[],[]]]],[[],[]]]]
[8,2,5,4,6,7,3,1]=>[1,7,4,5,3,2,6,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>[[],[[[[[],[]],[]],[[],[[],[]]]],[[],[]]]]
[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[[],[]]]],[[],[]]]]
[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[[],[[[],[[[],[[],[]]],[[],[]]]],[[],[]]]]
[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]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[[],[[[],[[[],[]],[[],[[],[]]]]],[[],[]]]]
[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]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[],[]],[[[],[]],[]]],[[],[[],[[],[]]]]]
[5,3,2,4,1,6,8,7]=>[4,6,7,5,8,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[[],[]]],[]],[[[],[]],[[],[[],[]]]]]
[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]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[[],[[],[]]]],[[[],[]],[[],[[],[]]]]]
[5,3,2,4,7,6,8,1]=>[4,6,7,5,2,3,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[[],[]]]]]
[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]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[[],[]]]]]
[8,3,2,5,4,7,6,1]=>[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]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[[],[]]]]]
[8,3,2,7,6,5,4,1]=>[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]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[[],[]]],[[[[],[]],[]],[[],[[],[]]]]]
[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]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>[[],[[[[[],[]],[[],[]]],[]],[[],[[],[]]]]]
[6,3,5,4,2,7,1,8]=>[3,6,4,5,7,2,8,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[],[]],[]],[[[],[[],[]]],[[],[[],[]]]]]
[8,3,5,4,2,7,6,1]=>[1,6,4,5,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[],[[[[],[[],[]]],[[],[]]],[[],[[],[]]]]]
[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]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[[],[[[[],[]],[[[],[]],[]]],[[],[[],[]]]]]
[8,3,7,6,5,4,2,1]=>[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]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[[],[[[[],[[],[]]],[]],[[],[[],[[],[]]]]]]
[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[],[[[],[[],[[],[]]]],[[],[[],[[],[]]]]]]
[8,4,3,5,7,6,2,1]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[[],[[[[],[[],[]]],[]],[[],[[],[[],[]]]]]]
[8,4,3,6,5,7,2,1]=>[1,5,6,3,4,2,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[[],[[[[],[]],[[],[]]],[[],[[],[[],[]]]]]]
[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[[[],[[],[]]],[[],[[[],[]],[[],[[],[]]]]]]
[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]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>[[],[[],[[[[],[]],[[],[]]],[[],[[],[]]]]]]
[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[[],[[],[[[],[[],[[],[]]]],[[],[[],[]]]]]]
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[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]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[[],[[],[]]],[[[],[[],[]]],[]]],[[],[]]]
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[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]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[[[[],[[],[]]],[]],[[[[],[[],[]]],[]],[]]]
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[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]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[[[],[[],[]]],[[],[[],[[[],[[],[]]],[]]]]]
[3,2,6,1,4,5,7,8]=>[6,7,3,8,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[[],[]]]]
[6,3,5,1,2,4,7,8]=>[3,6,4,8,7,5,2,1]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[],[]],[]],[[[],[[],[]]],[[[],[]],[]]]]
[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]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[],[]],[]],[[[],[]],[[[[],[]],[]],[]]]]
[7,3,5,1,2,4,6,8]=>[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]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[[[],[[[],[]],[]]],[[[[],[]],[]],[[],[]]]]
[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]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[],[[],[]]],[[],[[[[[],[]],[]],[]],[]]]]
[7,5,8,1,2,3,4,6]=>[2,4,1,8,7,6,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[[[],[]],[[[],[]],[[[[[],[]],[]],[]],[]]]]
[8,3,5,1,2,4,6,7]=>[1,6,4,8,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[[],[[[[[],[]],[]],[[],[]]],[[[],[]],[]]]]
[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]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[[],[[[],[[],[]]],[[[[[],[]],[]],[]],[]]]]
[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]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[],[]],[]],[[[],[[],[]]],[[[],[]],[]]]]
[7,3,5,6,1,2,4,8]=>[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]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[[],[]],[]]]]
[6,2,4,8,1,3,5,7]=>[3,7,5,1,8,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[[],[]]],[[[[],[]],[[],[]]],[[],[]]]]
[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]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[[[[],[]],[[[[],[]],[]],[]]],[[],[[],[]]]]
[5,4,7,8,1,2,3,6]=>[4,5,2,1,8,7,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[[[],[]],[[],[]]],[[],[[[[],[]],[]],[]]]]
[7,3,5,8,1,2,4,6]=>[2,6,4,1,8,7,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[8,2,4,6,1,3,5,7]=>[1,7,5,3,8,6,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[],[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]]
[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]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[[],[]]]]
[5,6,2,4,1,3,7,8]=>[4,3,7,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[[],[]]],[[],[]]]]
[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]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]]
[4,7,3,6,1,2,5,8]=>[5,2,6,3,8,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[[[[],[]],[[],[[],[]]]],[[],[[[],[]],[]]]]
[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]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[[[],[]],[]]],[[[],[]],[[[],[]],[]]]]
[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]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[[[],[[],[[[],[]],[]]]],[[[],[]],[[],[]]]]
[5,8,3,7,1,2,4,6]=>[4,1,6,2,8,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[[],[[],[]]]],[[[],[]],[[[],[]],[]]]]
[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]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>[[[],[]],[[[],[[[[],[]],[]],[]]],[[],[]]]]
[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]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[],[]],[]],[]],[[],[[[],[]],[[],[]]]]]
[6,5,2,4,1,3,7,8]=>[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]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[],[]],[[],[]]],[[],[[[],[]],[[],[]]]]]
[6,4,3,7,1,2,5,8]=>[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]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[[],[]]]]]
[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]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[],[[[],[]],[]]],[[[],[]],[[],[[],[]]]]]
[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]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[[],[]]],[[],[[[],[]],[[[],[]],[]]]]]
[7,4,2,8,1,3,5,6]=>[2,5,7,1,8,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[[],[]]]]]
[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]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[[],[[[[[],[]],[]],[[],[]]],[[],[[],[]]]]]
[8,5,2,4,1,3,6,7]=>[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]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[],[[[],[[],[]]],[[[],[]],[[[],[]],[]]]]]
[8,7,2,4,1,3,5,6]=>[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]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[[],[]]]]
[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]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[[],[]],[]]]]
[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]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]]
[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]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[],[]],[]],[[[[],[]],[[],[]]],[[],[]]]]
[6,7,3,5,8,1,2,4]=>[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]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[[[],[[[],[]],[[],[]]]],[[],[[[],[]],[]]]]
[5,8,4,6,7,1,2,3]=>[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]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[[],[]]],[[],[]]]]
[4,3,2,6,8,1,5,7]=>[5,6,7,3,1,8,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[[],[]]],[[],[]]],[[],[[],[[],[]]]]]
[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]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[[],[]]],[[[],[]],[[],[[[],[]],[]]]]]
[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]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[],[]],[[],[]]],[[],[[[],[]],[[],[]]]]]
[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]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[],[]],[]],[[],[[[[],[]],[]],[[],[]]]]]
[7,4,2,5,8,1,3,6]=>[2,5,7,4,1,8,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[[],[]]]]]
[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]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[[[],[]],[[],[[[[],[]],[]],[[[],[]],[]]]]]
[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]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[[],[[[[],[[],[]]],[]],[[[],[]],[[],[]]]]]
[8,5,2,4,7,1,3,6]=>[1,4,7,5,2,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[],[[[],[[],[]]],[[[],[[],[]]],[[],[]]]]]
[8,4,3,6,7,1,2,5]=>[1,5,6,3,2,8,7,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[[],[[[[],[]],[[],[]]],[[],[[[],[]],[]]]]]
[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]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[],[]],[]],[[[],[]],[[],[[[],[]],[]]]]]
[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]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[],[]]],[[[],[]],[[[],[]],[[],[]]]]]
[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]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[[],[]]],[[[],[]],[[],[[[],[]],[]]]]]
[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]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[],[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]]
[8,4,7,2,5,1,3,6]=>[1,5,2,7,4,8,6,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[],[[[],[[[],[]],[]]],[[[],[]],[[],[]]]]]
[8,5,7,2,4,1,3,6]=>[1,4,2,7,5,8,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[[],[[[],[[],[]]],[[[],[[],[]]],[[],[]]]]]
[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]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[],[[[],[[],[]]],[[[[],[]],[]],[[],[]]]]]
[8,6,7,2,4,1,3,5]=>[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]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[],[]],[[],[]]],[[],[[],[[],[[],[]]]]]]
[7,5,4,2,6,1,3,8]=>[2,4,5,7,3,8,6,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[[],[]]]]]]
[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]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[[[],[[],[]]],[[[],[]],[[],[[],[[],[]]]]]]
[7,4,3,2,8,1,5,6]=>[2,5,6,7,1,8,4,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[],[]],[[[[],[]],[]],[[],[[],[[],[]]]]]]
[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]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[[],[[[[],[]],[]],[[],[[[],[]],[[],[]]]]]]
[8,4,3,2,7,1,5,6]=>[1,5,6,7,2,8,4,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[],[[[],[[[],[]],[]]],[[],[[],[[],[]]]]]]
[8,7,3,2,5,1,4,6]=>[1,2,6,7,4,8,5,3]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>[[],[[],[[[[],[]],[[],[]]],[[],[[],[]]]]]]
[8,7,5,2,4,1,3,6]=>[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]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[[],[[],[]]]],[[[],[]],[[],[[],[]]]]]
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[6,8,4,7,3,5,1,2]=>[3,1,5,2,6,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[[],[]]],[[[],[]],[[],[[[],[]],[]]]]]
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[6,8,5,7,3,4,1,2]=>[3,1,4,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[[],[]]],[[],[[[],[]],[[[],[]],[]]]]]
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[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]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[[],[]]]]]]
[7,6,4,8,3,5,1,2]=>[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]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[[],[[[],[[],[]]],[[],[[],[[[],[]],[]]]]]]
[8,6,4,7,2,5,1,3]=>[1,3,5,2,7,4,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[],[[[],[]],[[[],[]],[[[],[]],[[],[]]]]]]
[8,6,4,7,3,5,1,2]=>[1,3,5,2,6,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[],[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]]
[8,7,3,6,2,5,1,4]=>[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]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[[],[[],[[[],[]],[[[],[[],[]]],[[],[]]]]]]
[8,5,4,3,2,7,1,6]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[],[[[],[[],[]]],[[],[[],[[],[[],[]]]]]]]
[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]=>[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[[],[[[[[[],[[[],[]],[]]],[]],[]],[]],[]]]
[8,1,2,3,7,4,5,6]=>[1,8,7,6,2,5,4,3]=>[.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[[],[[[[[],[[[[],[]],[]],[]]],[]],[]],[]]]
[8,1,2,3,6,7,4,5]=>[1,8,7,6,3,2,5,4]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[[],[[[[[[],[]],[[[],[]],[]]],[]],[]],[]]]
[8,1,2,6,3,7,4,5]=>[1,8,7,3,6,2,5,4]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[[],[[[[[],[]],[[[[],[]],[]],[]]],[]],[]]]
[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]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[],[]],[[],[[],[]]]],[[[[],[]],[]],[]]]
[8,1,2,7,6,3,4,5]=>[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]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[[[[],[[],[[],[]]]],[]],[[[[],[]],[]],[]]]
[3,1,7,2,6,4,8,5]=>[6,8,2,7,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[[[[],[]],[[],[[[],[]],[]]]],[[[],[]],[]]]
[3,1,8,2,6,7,4,5]=>[6,8,1,7,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[[],[]],[]]]
[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]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[[[[],[]],[[],[]]],[[[],[[[],[]],[]]],[]]]
[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]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[[[],[]],[[[[],[]],[[[[],[]],[]],[]]],[]]]
[5,1,4,2,8,7,3,6]=>[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]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[[[[[],[]],[]],[]],[[[],[[[],[]],[]]],[]]]
[3,1,8,6,2,4,5,7]=>[6,8,1,3,7,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[[],[]],[]]]
[3,1,8,6,2,7,4,5]=>[6,8,1,3,7,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[[],[]],[]]]
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[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]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[[[],[]],[[[],[[],[[[[],[]],[]],[]]]],[]]]
[8,1,6,5,2,7,3,4]=>[1,8,3,4,7,2,6,5]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[[],[[[[],[]],[[],[[[[],[]],[]],[]]]],[]]]
[3,1,8,5,6,2,4,7]=>[6,8,1,4,3,7,5,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[[],[]],[]]]
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[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]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[[],[[[[[],[[],[]]],[]],[[[],[]],[]]],[]]]
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[8,1,4,5,6,7,2,3]=>[1,8,5,4,3,2,7,6]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[[],[[[[[[],[]],[]],[]],[[[],[]],[]]],[]]]
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[2,4,1,8,3,7,5,6]=>[7,5,8,1,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[[[[],[[],[[[],[]],[]]]],[[],[]]],[[],[]]]
[2,7,1,5,3,4,8,6]=>[7,2,8,4,6,5,1,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[[[[],[]],[[[],[]],[[[],[]],[]]]],[[],[]]]
[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]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[[[[[],[]],[]],[[],[[[],[]],[]]]],[[],[]]]
[2,8,1,5,7,3,4,6]=>[7,1,8,4,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[[],[[],[]]],[[[],[]],[]]]],[[],[]]]
[2,8,1,7,6,3,4,5]=>[7,1,8,2,3,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[[[],[[],[[],[[[[],[]],[]],[]]]]],[[],[]]]
[2,4,1,5,8,7,3,6]=>[7,5,8,4,1,2,6,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[[[[[],[[],[[],[]]]],[]],[[],[]]],[[],[]]]
[6,3,1,2,4,7,8,5]=>[3,6,8,7,5,2,1,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[],[]],[]],[[[[],[]],[]],[[[],[]],[]]]]
[8,3,1,2,7,4,5,6]=>[1,6,8,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>[[],[[[],[[[[],[]],[]],[]]],[[[],[]],[]]]]
[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]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[[[],[]],[[],[[[[[[],[]],[]],[]],[]],[]]]]
[5,4,1,2,8,3,6,7]=>[4,5,8,7,1,6,3,2]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[[[],[[[],[]],[]]],[[],[[[[],[]],[]],[]]]]
[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]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[[[[],[]],[[],[]]],[[[[[],[]],[]],[]],[]]]
[8,4,1,2,6,7,3,5]=>[1,5,8,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[],[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]]
[5,4,1,2,6,7,8,3]=>[4,5,8,7,3,2,1,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[[[[[],[]],[]],[]],[[],[[[[],[]],[]],[]]]]
[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]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[[],[[[[],[]],[[[],[]],[]]],[[[],[]],[]]]]
[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]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[[],[]]],[[[],[]],[[[[],[]],[]],[]]]]
[8,4,1,6,2,7,3,5]=>[1,5,8,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[],[[[[],[]],[[],[]]],[[[[],[]],[]],[]]]]
[6,8,1,5,2,7,3,4]=>[3,1,8,4,7,2,6,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[[[],[[],[]]],[[[],[[[[],[]],[]],[]]],[]]]
[4,3,1,8,7,2,5,6]=>[5,6,8,1,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[[[],[[],[[[],[]],[]]]],[[],[[[],[]],[]]]]
[8,3,1,5,6,2,4,7]=>[1,6,8,4,3,7,5,2]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[[],[[[[[],[]],[]],[[],[]]],[[[],[]],[]]]]
[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]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[[],[[[[],[[],[]]],[]],[[[[],[]],[]],[]]]]
[4,3,1,5,6,8,2,7]=>[5,6,8,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[[[[[],[[],[]]],[]],[]],[[],[[[],[]],[]]]]
[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]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>[[[[[],[]],[[],[[[],[]],[]]]],[]],[[],[]]]
[2,3,8,1,6,7,4,5]=>[7,6,1,8,3,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[[[[],[[[],[]],[[[],[]],[]]]],[]],[[],[]]]
[2,6,4,1,3,7,8,5]=>[7,3,5,8,6,2,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[[],[]]]],[[],[]]]
[2,8,5,1,3,7,4,6]=>[7,1,4,8,6,2,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[[],[[],[]]],[[[],[]],[]]]],[[],[]]]
[2,6,5,1,3,7,8,4]=>[7,3,4,8,6,2,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[[[[[],[]],[]],[[],[[[],[]],[]]]],[[],[]]]
[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]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,8,5,1,7,3,4,6]=>[7,1,4,8,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[[],[[],[]]],[[[],[]],[]]]],[[],[]]]
[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]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[[[],[]],[[],[]]],[[],[]]]],[[],[]]]
[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]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[6,3,5,1,2,8,4,7]=>[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]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[[],[]]],[[[[],[]],[]],[[[],[]],[]]]]
[6,8,5,1,2,3,4,7]=>[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]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[[],[[[],[[],[]]],[[],[[[[],[]],[]],[]]]]]
[6,8,5,1,2,7,3,4]=>[3,1,4,8,7,2,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[],[[],[]]],[[],[[[[[],[]],[]],[]],[]]]]
[5,3,4,1,8,2,6,7]=>[4,6,5,8,1,7,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[[[],[]],[]]],[[[],[]],[[[],[]],[]]]]
[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]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[7,8,4,1,6,2,3,5]=>[2,1,5,8,3,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[],[]],[[[],[[],[]]],[[[[],[]],[]],[]]]]
[7,5,4,1,6,2,8,3]=>[2,4,5,8,3,7,1,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[[[],[]],[[[],[]],[[],[[[[],[]],[]],[]]]]]
[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]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>[[[[[],[[],[[[],[]],[]]]],[]],[]],[[],[]]]
[2,3,7,6,1,4,8,5]=>[7,6,2,3,8,5,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>[[[[[],[]],[[],[[[],[]],[]]]],[]],[[],[]]]
[2,3,8,5,1,7,4,6]=>[7,6,1,4,8,2,5,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[[[[],[[[],[[],[]]],[[],[]]]],[]],[[],[]]]
[2,8,4,5,1,3,6,7]=>[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]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[[[],[]],[[],[]]],[[],[]]]],[[],[]]]
[2,7,4,6,1,3,8,5]=>[7,2,5,3,8,6,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[[[[],[]],[[[],[[],[]]],[[],[]]]],[[],[]]]
[2,8,6,5,1,3,4,7]=>[7,1,3,4,8,6,5,2]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[[[],[[[],[]],[[],[[[],[]],[]]]]],[[],[]]]
[2,7,8,6,1,3,4,5]=>[7,2,1,3,8,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>[[[[],[]],[[],[[[[],[]],[]],[]]]],[[],[]]]
[2,6,4,5,1,8,3,7]=>[7,3,5,4,8,1,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[[],[]]]],[[],[]]]
[2,8,4,6,1,7,3,5]=>[7,1,5,3,8,2,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[[[],[]],[[],[]]],[[],[]]]],[[],[]]]
[7,3,4,6,1,2,8,5]=>[2,6,5,3,8,7,1,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[[],[]],[]]]]
[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]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[[],[]],[]]]]
[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]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>[[[[[],[[],[[[],[]],[]]]],[]],[]],[[],[]]]
[2,3,8,5,6,1,4,7]=>[7,6,1,4,3,8,5,2]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[[[[],[[[[],[]],[]],[[],[]]]],[]],[[],[]]]
[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]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[[],[]]]],[[],[]]]
[8,3,4,7,6,1,2,5]=>[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]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[[],[]],[]]]]
[2,3,4,8,6,7,1,5]=>[7,6,5,1,3,2,8,4]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[[[[[],[[[],[]],[[],[]]]],[]],[]],[[],[]]]
[6,5,8,7,3,4,1,2]=>[3,4,1,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[[],[]]],[[],[[[],[]],[[[],[]],[]]]]]
[4,6,7,3,8,5,1,2]=>[5,3,2,6,1,4,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[],[]],[]],[[],[]]],[[],[[[],[]],[]]]]
[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]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[],[]],[[],[]]],[]],[[[],[]],[[],[]]]]
[3,5,2,7,1,8,6,4]=>[6,4,7,2,8,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[[],[]]]]
[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]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[[],[]]]]
[4,6,7,2,8,1,5,3]=>[5,3,2,7,1,8,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[],[]],[]],[[],[]]],[[[],[]],[[],[]]]]
[5,6,7,8,2,1,4,3]=>[4,3,2,1,7,8,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[[],[]]],[[],[]]]]
[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]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[[[],[]],[[[[[],[[],[]]],[]],[]],[[],[]]]]
[4,5,2,3,7,6,1,8]=>[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]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[[],[]]]]
[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]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[],[[],[[[],[]],[[],[[[],[[],[]]],[]]]]]]
[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]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[[[[],[[],[]]],[]],[[[[],[[],[]]],[]],[]]]
[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]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[[],[[[[],[]],[[[],[]],[[[],[]],[]]]],[]]]
[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]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>[[[],[[],[]]],[[[[[],[]],[[],[]]],[]],[]]]
[8,7,6,1,4,3,2,5]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[[],[[],[[],[[[[],[]],[[],[[],[]]]],[]]]]]
[1,6,7,8,3,4,5,2]=>[8,3,2,1,6,5,4,7]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[[[[[],[]],[]],[[[[],[]],[]],[[],[]]]],[]]
[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]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[[],[]]],[]],[[[[],[]],[]],[[],[]]]]
[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]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[[],[]]],[]]]]
[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]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[[],[]]]]
[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]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[[[[],[[],[]]],[[[],[[],[]]],[[],[]]]],[]]
[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]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[[[],[[],[]]],[[[[],[[[],[]],[]]],[]],[]]]
[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]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>[[[],[[],[]]],[[[[],[[],[[],[]]]],[]],[]]]
[8,1,7,6,5,4,2,3]=>[1,8,2,3,4,5,7,6]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[[],[[[],[[],[[],[[],[[[],[]],[]]]]]],[]]]
[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]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[[[[[],[]],[[],[]]],[]],[[],[[[],[]],[]]]]
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[2,1,5,4,7,3,8,6]=>[7,8,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[[],[]]]],[[],[]]]
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[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]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[],[]],[]],[[],[]]],[[],[[[],[]],[]]]]
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[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]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[[[[[],[]],[[],[[],[]]]],[]],[[[],[]],[]]]
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[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]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[],[]],[[],[]]],[]],[[[[],[]],[]],[]]]
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[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]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[[[[[],[]],[]],[[[],[[],[]]],[]]],[[],[]]]
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[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]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[],[]],[]],[]],[[],[[[],[]],[[],[]]]]]
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[5,1,6,4,7,2,8,3]=>[4,8,3,5,2,7,1,6]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[[[[[],[]],[]],[]],[[[],[[[],[]],[]]],[]]]
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[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]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[[[[],[]],[]],[]],[[],[[],[[[],[]],[]]]]]
[8,6,1,3,4,2,5,7]=>[1,3,8,6,5,7,4,2]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>[[],[[[],[]],[[[[[],[]],[]],[[],[]]],[]]]]
[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]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[[],[[[],[[[],[]],[[],[]]]],[[],[[],[]]]]]
[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]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[],[[[[[],[]],[[],[]]],[[],[]]],[[],[]]]]
[8,1,2,4,5,6,3,7]=>[1,8,7,5,4,3,6,2]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>[[],[[[[[[[],[]],[]],[]],[[],[]]],[]],[]]]
[8,2,5,1,3,6,4,7]=>[1,7,4,8,6,3,5,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>[[],[[[[[],[]],[]],[[[],[]],[]]],[[],[]]]]
[8,6,3,5,1,4,2,7]=>[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]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[[],[[[],[[],[]]],[[],[[],[[],[[],[]]]]]]]
[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]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>[[[[],[]],[[[[],[]],[]],[[],[[],[]]]]],[]]
[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]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[[],[[[],[[[],[]],[[],[]]]],[[[],[]],[]]]]
[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]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>[[[[],[]],[[[],[[],[]]],[[],[[],[]]]]],[]]
[3,6,5,8,7,4,1,2]=>[6,3,4,1,2,5,8,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[[],[]],[]]]
[4,8,1,6,7,3,5,2]=>[5,1,8,3,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[[[],[[[],[]],[[],[]]]],[[[],[[],[]]],[]]]
[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]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[[],[]]]]
[2,1,6,5,7,8,3,4]=>[7,8,3,4,2,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[[[[[],[]],[]],[[],[[[],[]],[]]]],[[],[]]]
[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]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]]
[4,2,6,8,7,3,5,1]=>[5,7,3,1,2,6,4,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[[],[]]],[[],[]]],[[[],[]],[[],[]]]]
[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]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[],[]],[[[],[]],[]]],[[],[[],[[],[]]]]]
[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]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[],[]],[[[],[]],[]]],[[[],[]],[[],[]]]]
[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]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[[],[]]],[[],[]]],[[[],[]],[[],[]]]]
[8,5,3,7,1,6,2,4]=>[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]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>[[],[[[[],[]],[[[],[[],[]]],[]]],[[],[]]]]
[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]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[[],[]]]]],[[],[]]]
[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]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>[[[[],[]],[[[],[[],[]]],[[[],[]],[]]]],[]]
[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]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>[[],[[[[],[]],[[],[[],[[],[[],[]]]]]],[]]]
[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]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[[],[]]]]
[5,4,2,1,6,8,3,7]=>[4,5,7,8,3,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[[[[],[[],[]]],[]],[[],[[[],[]],[[],[]]]]]
[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]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[[],[]]],[]],[[[[],[]],[]],[[],[]]]]
[5,4,3,2,7,1,8,6]=>[4,5,6,7,2,8,1,3]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[],[]],[[],[]]],[[],[[],[[],[[],[]]]]]]
[4,3,6,2,8,7,5,1]=>[5,6,3,7,1,2,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[[],[]]],[[],[]]],[[],[[],[[],[]]]]]
[7,5,4,3,1,8,2,6]=>[2,4,5,6,8,1,7,3]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[[[],[]],[[[],[]],[[],[[],[[[],[]],[]]]]]]
[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]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[[[],[[],[[],[[],[]]]]],[[],[[],[[],[]]]]]
[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]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[[[],[[[],[]],[[],[[[],[]],[[],[]]]]]],[]]
[6,2,8,7,4,5,1,3]=>[3,7,1,2,5,4,8,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[[],[]]],[[[[],[]],[[],[]]],[[],[]]]]
[7,3,1,6,8,4,2,5]=>[2,6,8,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[[],[]],[]]]]
[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]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[[[],[]],[[],[[],[[[],[]],[[],[[],[]]]]]]]
[6,5,2,1,7,3,8,4]=>[3,4,7,8,2,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[],[]],[]],[[],[[[[],[]],[]],[[],[]]]]]
[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]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[],[]],[[[],[]],[]]],[[[[],[]],[]],[]]]
[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[[],[]]]]
[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]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[[],[]]]]]
[3,5,2,7,1,8,4,6]=>[6,4,7,2,8,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[[],[]]]]
[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]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[[],[]]]]]
[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]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[[],[[],[]]]],[[[[],[]],[]],[[],[]]]]
[6,4,8,1,7,2,5,3]=>[3,5,1,8,2,7,4,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[[],[]]],[[[],[]],[[[[],[]],[]],[]]]]
[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]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[[],[]]]]
[6,2,8,7,5,4,3,1]=>[3,7,1,2,4,5,6,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[[[],[[],[]]],[[[],[[],[[],[]]]],[[],[]]]]
[6,1,7,2,8,5,4,3]=>[3,8,2,7,1,4,5,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[[[[],[]],[]],[[[[],[[],[[],[]]]],[]],[]]]
[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]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[[[],[]],[[[],[[],[[],[[],[[],[]]]]]],[]]]
[4,1,3,2,6,5,8,7]=>[5,8,6,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[[[[],[[],[]]],[[],[]]],[[[],[[],[]]],[]]]
[6,3,5,1,2,4,8,7]=>[3,6,4,8,7,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[[],[]]],[[[],[[],[]]],[[[],[]],[]]]]
[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]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[],[]],[]],[[],[[[[],[]],[]],[[],[]]]]]
[3,5,2,6,4,1,8,7]=>[6,4,7,3,5,8,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[[],[]]]]
[2,6,1,5,4,3,8,7]=>[7,3,8,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[[],[]]]]],[[],[]]]
[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]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[[],[]]],[]],[[[],[]],[[],[[],[]]]]]
[2,1,6,3,5,4,8,7]=>[7,8,3,6,4,5,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[[],[[],[]]],[[[],[[],[]]],[]]],[[],[]]]
[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]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[[],[]],[]]]]
[5,7,4,6,2,8,3,1]=>[4,2,5,3,7,1,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[],[]],[[],[]]],[[],[[[],[]],[[],[]]]]]
[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]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[[],[[],[]]],[[[],[]],[]]]],[[],[]]]
[3,4,8,6,5,7,1,2]=>[6,5,1,3,4,2,8,7]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[[[[],[[[],[]],[[],[]]]],[]],[[[],[]],[]]]
[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]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[[],[]]]],[[],[]]]
[4,1,6,3,8,5,7,2]=>[5,8,3,6,1,4,2,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[[[[],[[],[]]],[[],[]]],[[[],[[],[]]],[]]]
[6,5,8,4,1,7,3,2]=>[3,4,1,5,8,2,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[[[],[[],[]]],[[],[[],[[[],[[],[]]],[]]]]]
[2,1,5,7,4,8,6,3]=>[7,8,4,2,5,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[[],[]]]],[[],[]]]
[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]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[[[],[]],[[[],[[],[]]],[[],[[],[[],[]]]]]]
[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]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[],[]],[[],[[],[]]]],[[],[[],[[],[]]]]]
[2,8,1,3,6,5,7,4]=>[7,1,8,6,3,4,2,5]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>[[[],[[[[],[]],[[],[[],[]]]],[]]],[[],[]]]
[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]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[[[],[]],[[[[[],[]],[]],[[],[[],[]]]],[]]]
[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]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[[],[[],[]]]],[[[],[]],[[],[[],[]]]]]
[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]=>[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[[[[[],[[[],[[],[]]],[]]],[]],[]],[[],[]]]
[4,1,3,2,8,5,7,6]=>[5,8,6,7,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[[[],[[[],[[],[]]],[]]],[[[],[[],[]]],[]]]
[2,1,4,3,8,5,7,6]=>[7,8,5,6,1,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[[[[],[[[],[[],[]]],[]]],[[],[]]],[[],[]]]
[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]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[[],[]],[]]]]
[7,8,5,6,1,4,2,3]=>[2,1,4,3,8,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[[[],[]],[[[],[]],[[[],[[[],[]],[]]],[]]]]
[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]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[[[],[[[],[]],[[],[[[],[]],[]]]]],[[],[]]]
[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]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[[],[]]],[[],[]]],[[[[],[]],[]],[]]]
[6,4,2,1,5,8,7,3]=>[3,5,7,8,4,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[],[]]],[[[],[]],[[[],[]],[[],[]]]]]
[4,5,2,6,3,1,8,7]=>[5,4,7,3,6,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[[[],[[],[]]],[]],[]],[[[],[]],[[],[]]]]
[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]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[],[]],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,1,5,2,4,8,7]=>[3,6,8,4,7,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[[],[]]],[[[],[[],[]]],[[[],[]],[]]]]
[5,4,3,6,1,2,8,7]=>[4,5,6,3,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[[[[],[[],[]]],[]],[[],[[],[[[],[]],[]]]]]
[3,6,2,4,1,5,8,7]=>[6,3,7,5,8,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[[],[]]]]
[5,1,7,3,8,4,6,2]=>[4,8,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[[],[]]],[]]]
[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]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[[],[[],[]]]],[[[],[]],[[],[[],[]]]]]
[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]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[[[],[]],[[],[]]],[[],[]]]],[[],[]]]
[6,8,3,5,2,7,4,1]=>[3,1,6,4,7,2,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[[],[]]],[[[],[[],[]]],[[],[[],[]]]]]
[2,1,8,5,3,7,4,6]=>[7,8,1,4,6,2,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[[],[[],[]]],[[[],[]],[]]]],[[],[]]]
[2,1,5,3,8,7,6,4]=>[7,8,4,6,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[[],[[],[]]]],[[[],[]],[]]],[[],[]]]
[2,4,1,8,7,6,5,3]=>[7,5,8,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[],[[],[[],[[],[]]]]],[[],[]]],[[],[]]]
[4,1,2,8,7,5,6,3]=>[5,8,7,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[[[],[[],[[[],[]],[]]]],[[[[],[]],[]],[]]]
[8,4,2,1,7,5,3,6]=>[1,5,7,8,2,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[],[[[],[[[],[]],[]]],[[[],[]],[[],[]]]]]
[3,1,4,8,6,5,7,2]=>[6,8,5,1,3,4,2,7]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[[[[],[[[],[]],[[],[]]]],[]],[[[],[]],[]]]
[7,3,5,4,8,6,1,2]=>[2,6,4,5,1,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[6,4,3,5,8,1,7,2]=>[3,5,6,4,1,8,2,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[[],[]]],[[[],[]],[[],[[[],[]],[]]]]]
[2,1,7,6,5,8,3,4]=>[7,8,2,3,4,1,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>[[[[],[]],[[],[[],[[[],[]],[]]]]],[[],[]]]
[5,7,3,6,1,8,2,4]=>[4,2,6,3,8,1,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]]
[2,7,6,4,5,8,1,3]=>[7,2,3,5,4,1,8,6]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[[[[],[]],[[],[[[],[]],[[],[]]]]],[[],[]]]
[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]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[[],[[[],[]],[[[],[[],[[],[]]]],[[],[]]]]]
[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]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[],[]],[[[],[]],[]]],[[[],[]],[[],[]]]]
[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]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]]
[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]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[[[[],[[[],[]],[]]],[[],[[],[]]]],[[],[]]]
[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]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[[[],[[[],[]],[[],[]]]],[[[],[[],[]]],[]]]
[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]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[[[],[[[],[[],[[],[]]]],[]]],[[[],[]],[]]]
[4,3,8,2,5,1,7,6]=>[5,6,1,7,4,8,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[[[],[[[],[[],[]]],[]]],[[],[[],[[],[]]]]]
[2,1,4,8,3,5,7,6]=>[7,8,5,1,6,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[[[[],[[[],[[],[]]],[]]],[[],[]]],[[],[]]]
[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]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>[[[],[]],[[[],[[],[[[],[]],[]]]],[[],[]]]]
[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]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[],[]],[]],[[[[],[]],[]],[[[],[]],[]]]]
[7,8,1,4,6,2,5,3]=>[2,1,8,5,3,7,4,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>[[[],[]],[[[[],[[],[]]],[[[],[]],[]]],[]]]
[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]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[[],[]],[]]]]
[7,8,2,6,4,1,3,5]=>[2,1,7,3,5,8,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[[],[]]]],[[],[]]]]
[7,8,1,6,5,4,3,2]=>[2,1,8,3,4,5,6,7]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[[[],[]],[[[],[[],[[],[[],[[],[]]]]]],[]]]
[2,1,8,7,5,4,3,6]=>[7,8,1,2,4,5,6,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[[[],[[],[[[],[]],[[],[[],[]]]]]],[[],[]]]
[5,3,7,1,6,4,8,2]=>[4,6,2,8,3,5,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]]
[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]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[],[]],[[[],[]],[]]],[[],[]]],[[],[]]]
[2,1,7,5,6,8,4,3]=>[7,8,2,4,3,1,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[[],[]]]]],[[],[]]]
[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[[[],[[[],[[],[]]],[[[],[]],[[],[]]]]],[]]
[1,5,6,8,2,4,7,3]=>[8,4,3,1,7,5,2,6]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>[[[[[],[[],[]]],[]],[[[],[[],[]]],[]]],[]]
[3,6,8,4,7,5,1,2]=>[6,3,1,5,2,4,8,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[[],[]],[]]]
[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]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[[[[],[[[],[]],[]]],[[[[],[]],[]],[]]],[]]
[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]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[],[[],[]]],[[[[],[[],[]]],[]],[[],[]]]]
[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]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[[],[]]]]
[6,7,5,8,1,4,3,2]=>[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]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[],[]],[[],[[],[]]]],[[[[],[]],[]],[]]]
[4,2,7,8,1,6,3,5]=>[5,7,2,1,8,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[],[]],[[],[[],[]]]],[[[],[]],[[],[]]]]
[2,1,8,7,6,5,3,4]=>[7,8,1,2,3,4,6,5]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[[[],[[],[[],[[],[[[],[]],[]]]]]],[[],[]]]
[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[[],[[],[]]]],[[[],[[],[]]],[[],[]]]]
[3,6,7,8,5,1,4,2]=>[6,3,2,1,4,8,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[[],[]],[]]]
[3,8,7,6,5,4,1,2]=>[6,1,2,3,4,5,8,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[[[],[[],[[],[[],[[],[]]]]]],[[[],[]],[]]]
[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]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[[[],[[],[[[],[]],[[],[[],[]]]]]],[[],[]]]
[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]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[],[]],[[[[],[]],[]],[[],[]]]],[[],[]]]
[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]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[[[],[[],[[],[]]]],[[],[[[],[]],[[],[]]]]]
[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]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[[[[[[],[]],[]],[]],[[[],[[],[]]],[]]],[]]
[1,7,2,5,3,4,6,8]=>[8,2,7,4,6,5,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[[[[],[]],[[[[],[]],[[[],[]],[]]],[]]],[]]
[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>[[[],[[[[[],[]],[]],[[[],[]],[]]],[]]],[]]
[1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[[[],[[[],[[[[[],[]],[]],[]],[]]],[]]],[]]
[1,8,2,7,3,5,4,6]=>[8,1,7,2,6,4,5,3]=>[[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>[[[],[[[],[[[[],[]],[[],[]]],[]]],[]]],[]]
[1,7,2,8,3,5,4,6]=>[8,2,7,1,6,4,5,3]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>[[[[],[]],[[[[[],[]],[[],[]]],[]],[]]],[]]
[1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>[[[[],[[],[]]],[[[[],[[],[]]],[]],[]]],[]]
[1,5,2,8,3,6,4,7]=>[8,4,7,1,6,3,5,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[[[[],[[[],[]],[]]],[[[[],[]],[]],[]]],[]]
[1,4,2,8,3,6,5,7]=>[8,5,7,1,6,3,4,2]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>[[[[],[[[],[]],[[],[]]]],[[[],[]],[]]],[]]
[1,3,2,8,4,6,5,7]=>[8,6,7,1,5,3,4,2]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>[[[[],[[[[],[]],[[],[]]],[]]],[[],[]]],[]]
[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[[[[[],[[[[],[]],[[],[]]],[]]],[]],[]],[]]
[1,2,3,7,4,6,5,8]=>[8,7,6,2,5,3,4,1]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>[[[[[[],[]],[[[],[[],[]]],[]]],[]],[]],[]]
[1,3,2,7,4,6,5,8]=>[8,6,7,2,5,3,4,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>[[[[[],[]],[[[],[[],[]]],[]]],[[],[]]],[]]
[1,4,2,7,3,6,5,8]=>[8,5,7,2,6,3,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[[[[[],[]],[[],[[],[]]]],[[[],[]],[]]],[]]
[1,5,2,7,3,6,4,8]=>[8,4,7,2,6,3,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[[[[[],[]],[[],[]]],[[[[],[]],[]],[]]],[]]
[1,6,2,7,3,5,4,8]=>[8,3,7,2,6,4,5,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[[[[[],[]],[]],[[[[],[[],[]]],[]],[]]],[]]
[1,7,2,6,3,5,4,8]=>[8,2,7,3,6,4,5,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>[[[[],[]],[[[],[[[],[[],[]]],[]]],[]]],[]]
[1,8,2,6,3,5,4,7]=>[8,1,7,3,6,4,5,2]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]=>[[[],[[[[],[]],[[[],[[],[]]],[]]],[]]],[]]
[1,8,2,5,3,6,4,7]=>[8,1,7,4,6,3,5,2]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>[[[],[[[[[],[]],[]],[[[],[]],[]]],[]]],[]]
[1,7,2,5,3,6,4,8]=>[8,2,7,4,6,3,5,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[[[[],[]],[[[[],[]],[[[],[]],[]]],[]]],[]]
[1,6,2,5,3,7,4,8]=>[8,3,7,4,6,2,5,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[[[[[],[]],[]],[[[],[[[],[]],[]]],[]]],[]]
[1,5,2,4,3,7,6,8]=>[8,4,7,5,6,2,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>[[[[[],[]],[[],[]]],[[[],[[],[]]],[]]],[]]
[1,6,2,4,3,7,5,8]=>[8,3,7,5,6,2,4,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[[[[[],[]],[]],[[[[],[]],[[],[]]],[]]],[]]
[1,7,2,4,3,6,5,8]=>[8,2,7,5,6,3,4,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>[[[[],[]],[[[[],[[],[]]],[[],[]]],[]]],[]]
[1,8,2,4,3,6,5,7]=>[8,1,7,5,6,3,4,2]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>[[[],[[[[[],[]],[[],[]]],[[],[]]],[]]],[]]
[1,8,2,4,3,7,5,6]=>[8,1,7,5,6,2,4,3]=>[[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>[[[],[[[[],[[[],[]],[]]],[[],[]]],[]]],[]]
[1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>[[[[],[]],[[[[[],[]],[]],[[],[]]],[]]],[]]
[1,6,2,4,3,8,5,7]=>[8,3,7,5,6,1,4,2]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>[[[[],[[],[]]],[[[[],[]],[[],[]]],[]]],[]]
[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>[[[[],[[[],[]],[]]],[[[],[[],[]]],[]]],[]]
[1,6,2,5,3,8,4,7]=>[8,3,7,4,6,1,5,2]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>[[[[],[[],[]]],[[[],[[[],[]],[]]],[]]],[]]
[1,7,2,5,3,8,4,6]=>[8,2,7,4,6,1,5,3]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[[[[],[]],[[[[],[]],[[[],[]],[]]],[]]],[]]
[1,8,2,5,3,7,4,6]=>[8,1,7,4,6,2,5,3]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]=>[[[],[[[[],[[],[]]],[[[],[]],[]]],[]]],[]]
[1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>[[[],[[[[],[]],[[[[],[]],[]],[]]],[]]],[]]
[1,7,2,6,3,8,4,5]=>[8,2,7,3,6,1,5,4]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>[[[[],[]],[[[],[[[[],[]],[]],[]]],[]]],[]]
[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[[[[[],[[[],[[[],[]],[]]],[]]],[]],[]],[]]
[1,3,2,8,4,7,5,6]=>[8,6,7,1,5,2,4,3]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>[[[[],[[[],[[[],[]],[]]],[]]],[[],[]]],[]]
[1,4,2,8,3,7,5,6]=>[8,5,7,1,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>[[[[],[[],[[[],[]],[]]]],[[[],[]],[]]],[]]
[1,5,2,8,3,7,4,6]=>[8,4,7,1,6,2,5,3]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>[[[[],[[],[[],[]]]],[[[[],[]],[]],[]]],[]]
[1,6,2,8,3,7,4,5]=>[8,3,7,1,6,2,5,4]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[[[[],[[],[]]],[[[[[],[]],[]],[]],[]]],[]]
[1,7,2,8,3,6,4,5]=>[8,2,7,1,6,3,5,4]=>[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>[[[[],[]],[[[[],[[[],[]],[]]],[]],[]]],[]]
[1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[[[],[[[],[[[],[[[],[]],[]]],[]]],[]]],[]]
[2,8,4,1,6,5,3,7]=>[7,1,5,8,3,4,6,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[[[],[]],[[],[]]],[[],[]]]],[[],[]]]
[2,8,4,1,5,6,7,3]=>[7,1,5,8,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>[[[],[[[[[],[]],[]],[]],[[],[]]]],[[],[]]]
[2,8,7,4,1,6,3,5]=>[7,1,2,5,8,3,6,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[[[],[[],[[[],[[],[]]],[[],[]]]]],[[],[]]]
[7,2,8,5,1,6,4,3]=>[2,7,1,4,8,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>[[[],[]],[[[[],[]],[[],[[],[]]]],[[],[]]]]
[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]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>[[[],[[],[[],[[[],[]],[[],[]]]]]],[[],[]]]
[2,8,4,5,6,1,7,3]=>[7,1,5,4,3,8,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>[[[],[[[[[],[]],[]],[]],[[],[]]]],[[],[]]]
[2,8,6,5,7,3,1,4]=>[7,1,3,4,2,6,8,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[[[],[[[],[]],[[],[[[],[]],[]]]]],[[],[]]]
[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[],[[],[]]],[[[[],[[],[]]],[]],[[],[]]]]
[6,3,2,8,5,1,4,7]=>[3,6,7,1,4,8,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[[],[]]],[[[],[[],[]]],[[],[[],[]]]]]
[6,4,8,5,1,3,7,2]=>[3,5,1,4,8,6,2,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[[[],[[],[]]],[[[],[]],[[[],[[],[]]],[]]]]
[6,3,7,5,2,1,8,4]=>[3,6,2,4,7,8,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[],[]],[]],[[[],[[],[]]],[[],[[],[]]]]]
[3,4,1,2,7,6,8,5]=>[6,5,8,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[[[[[],[]],[[],[[],[]]]],[]],[[[],[]],[]]]
[6,5,2,7,4,1,8,3]=>[3,4,7,2,5,8,1,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[[[[],[]],[]],[[],[[[],[[],[]]],[[],[]]]]]
[5,6,1,8,7,2,4,3]=>[4,3,8,1,2,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[[[[],[[],[]]],[]],[[[[],[[],[]]],[]],[]]]
[4,3,2,1,8,6,5,7]=>[5,6,7,8,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[[[],[[[],[]],[[],[]]]],[[],[[],[[],[]]]]]
[4,2,1,3,8,7,6,5]=>[5,7,8,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[],[[],[[],[[],[]]]]],[[[],[]],[[],[]]]]
[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]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[[[],[[],[]]],[[],[[[],[[],[]]],[[],[]]]]]
[6,5,8,4,2,3,7,1]=>[3,4,1,5,7,6,2,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[[[],[[],[]]],[[],[[],[[[],[]],[[],[]]]]]]
[7,5,3,8,2,4,1,6]=>[2,4,6,1,7,5,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[[],[]]]]]]
[5,7,8,4,3,6,2,1]=>[4,2,1,5,6,3,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[[[],[]],[[],[]]],[[],[[],[[],[[],[]]]]]]
[4,1,8,3,5,6,7,2]=>[5,8,1,6,4,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[[[],[[[[],[]],[]],[]]],[[[],[[],[]]],[]]]
[4,1,8,3,6,2,7,5]=>[5,8,1,6,3,7,2,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[[[],[[[],[]],[[],[]]]],[[[],[[],[]]],[]]]
[2,3,4,8,6,1,7,5]=>[7,6,5,1,3,8,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[[[[[],[[[],[]],[[],[]]]],[]],[]],[[],[]]]
[2,3,4,8,6,5,1,7]=>[7,6,5,1,3,4,8,2]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[[[[[],[[[],[]],[[],[]]]],[]],[]],[[],[]]]
[2,7,3,5,8,6,1,4]=>[7,2,6,4,1,3,8,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>[[[[],[]],[[[[],[]],[[],[]]],[]]],[[],[]]]
[1,5,4,6,2,7,3,8]=>[8,4,5,3,7,2,6,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[[[[[[],[]],[]],[]],[[],[[[],[]],[]]]],[]]
[5,2,4,7,1,8,3,6]=>[4,7,5,2,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[[],[]]]]
[5,3,6,1,4,8,2,7]=>[4,6,3,8,5,1,7,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[[],[]],[]]]]
[7,3,5,6,8,4,2,1]=>[2,6,4,3,1,5,7,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[[],[]]]]]
[6,3,5,1,8,2,7,4]=>[3,6,4,8,1,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[[],[]]],[[[],[[],[]]],[[[],[]],[]]]]
[2,6,1,5,8,4,7,3]=>[7,3,8,4,1,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[[[[],[[],[]]],[[],[[],[[],[]]]]],[[],[]]]
[5,7,1,6,3,8,4,2]=>[4,2,8,3,6,1,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[[],[]]],[]]]
[3,2,4,1,7,8,5,6]=>[6,7,5,8,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[[[[[],[]],[[[],[]],[]]],[]],[[],[[],[]]]]
[3,1,4,2,7,8,6,5]=>[6,8,5,7,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[[[[[],[]],[[],[[],[]]]],[]],[[[],[]],[]]]
[5,1,4,7,2,8,6,3]=>[4,8,5,2,7,1,3,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[[[[],[]],[[],[]]],[[[],[[[],[]],[]]],[]]]
[3,6,4,7,8,2,5,1]=>[6,3,5,2,1,7,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[[],[]]]]
[6,3,4,5,7,1,8,2]=>[3,6,5,4,2,8,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[],[]],[]],[[[[],[]],[]],[[[],[]],[]]]]
[2,5,4,6,1,7,8,3]=>[7,4,5,3,8,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[],[]],[]],[]],[[],[[],[]]]],[[],[]]]
[7,2,1,4,3,6,5,8]=>[2,7,8,5,6,3,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[[[],[]],[[[[],[[],[]]],[[],[]]],[[],[]]]]
[7,3,4,1,2,6,5,8]=>[2,6,5,8,7,3,4,1]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[[],[]],[]]]]
[7,6,3,2,5,4,1,8]=>[2,3,6,7,4,5,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>[[[],[]],[[],[[[],[[],[]]],[[],[[],[]]]]]]
[6,7,3,2,5,4,8,1]=>[3,2,6,7,4,5,1,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[],[]],[]],[[[],[[],[]]],[[],[[],[]]]]]
[1,8,3,2,5,4,7,6]=>[8,1,6,7,4,5,2,3]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[[[],[[[[],[[],[]]],[[],[]]],[[],[]]]],[]]
[1,8,4,5,2,3,7,6]=>[8,1,5,4,7,6,2,3]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[[[],[[[[],[[],[]]],[]],[[[],[]],[]]]],[]]
[7,3,5,1,6,2,4,8]=>[2,6,4,8,3,7,5,1]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[7,2,1,5,6,3,4,8]=>[2,7,8,4,3,6,5,1]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[]],[[[[],[]],[[[],[]],[]]],[[],[]]]]
[1,8,5,4,3,2,7,6]=>[8,1,4,5,6,7,2,3]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[[[],[[[],[[],[]]],[[],[[],[[],[]]]]]],[]]
[1,8,6,4,3,7,2,5]=>[8,1,3,5,6,2,7,4]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[[[],[[[],[]],[[[],[]],[[],[[],[]]]]]],[]]
[6,4,7,5,1,3,8,2]=>[3,5,2,4,8,6,1,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>[[[[],[]],[]],[[[],[]],[[[],[[],[]]],[]]]]
[6,3,7,1,5,4,8,2]=>[3,6,2,8,4,5,1,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[],[]],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,2,1,7,5,4,8,3]=>[3,7,8,2,4,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[[[[],[]],[]],[[[],[[],[[],[]]]],[[],[]]]]
[3,2,1,8,5,4,7,6]=>[6,7,8,1,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[[],[]]]]
[2,3,8,1,5,4,7,6]=>[7,6,1,8,4,5,2,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[[[[],[[[],[[],[]]],[[],[]]]],[]],[[],[]]]
[2,4,8,5,1,3,7,6]=>[7,5,1,4,8,6,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[[[[],[[[],[[],[]]],[]]],[[],[]]],[[],[]]]
[2,6,8,4,3,7,1,5]=>[7,3,1,5,6,2,8,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[[],[]]]],[[],[]]]
[1,8,7,4,3,6,5,2]=>[8,1,2,5,6,3,4,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[[[],[[],[[[],[[],[]]],[[],[[],[]]]]]],[]]
[1,8,7,5,6,3,4,2]=>[8,1,2,4,3,6,5,7]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[[[],[[],[[[],[]],[[[],[]],[[],[]]]]]],[]]
[2,5,8,6,7,1,3,4]=>[7,4,1,3,2,8,6,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[[[[],[[[],[]],[]]],[[[],[]],[]]],[[],[]]]
[2,4,8,6,1,7,3,5]=>[7,5,1,3,8,2,6,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[[[[],[[[],[]],[[],[]]]],[[],[]]],[[],[]]]
[3,2,1,8,6,7,4,5]=>[6,7,8,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[[[],[[[],[]],[[[],[]],[]]]],[[],[[],[]]]]
[5,2,1,7,6,8,4,3]=>[4,7,8,2,3,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[[],[]]]]
[5,3,7,1,6,8,4,2]=>[4,6,2,8,3,1,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]]
[5,4,7,6,1,8,3,2]=>[4,5,2,3,8,1,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>[[[[],[]],[[],[]]],[[],[[[],[[],[]]],[]]]]
[4,5,7,6,8,1,3,2]=>[5,4,2,3,1,8,6,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[[[[[],[]],[[],[]]],[]],[[[],[[],[]]],[]]]
[4,6,7,5,8,3,1,2]=>[5,3,2,4,1,6,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[],[]],[]],[[],[]]],[[],[[[],[]],[]]]]
[1,8,5,6,7,2,3,4]=>[8,1,4,3,2,7,6,5]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[[[],[[[[],[]],[]],[[[[],[]],[]],[]]]],[]]
[4,6,5,7,8,2,1,3]=>[5,3,4,2,1,7,8,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[],[]],[]],[[],[]]],[[[],[]],[[],[]]]]
[5,4,6,7,1,8,2,3]=>[4,5,3,2,8,1,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[[[[[],[]],[]],[]],[[],[[[[],[]],[]],[]]]]
[5,3,6,1,7,8,2,4]=>[4,6,3,8,2,1,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[],[]],[]],[]],[[[],[]],[[[],[]],[]]]]
[5,2,1,6,7,8,3,4]=>[4,7,8,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[],[]],[]],[]],[[[[],[]],[]],[[],[]]]]
[6,2,1,5,7,3,8,4]=>[3,7,8,4,2,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[[[[],[]],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,3,5,1,7,2,8,4]=>[3,6,4,8,2,7,1,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[],[]],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,4,5,7,1,2,8,3]=>[3,5,4,2,8,7,1,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[],[]],[]],[[[],[]],[[[[],[]],[]],[]]]]
[1,8,4,6,2,7,3,5]=>[8,1,5,3,7,2,6,4]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>[[[],[[[[],[]],[[],[]]],[[[],[]],[]]]],[]]
[1,8,3,2,6,7,4,5]=>[8,1,6,7,3,2,5,4]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>[[[],[[[[],[]],[[[],[]],[]]],[[],[]]]],[]]
[5,7,3,2,6,8,4,1]=>[4,2,6,7,3,1,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[[],[]]]]]
[6,4,3,2,1,7,8,5]=>[3,5,6,7,8,2,1,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[],[]],[]],[[[],[]],[[],[[],[[],[]]]]]]
[6,2,1,4,3,7,8,5]=>[3,7,8,5,6,2,1,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[],[]],[]],[[[[],[]],[[],[]]],[[],[]]]]
[5,2,1,4,3,8,7,6]=>[4,7,8,5,6,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[[],[[],[]]]],[[[],[[],[]]],[[],[]]]]
[4,5,3,2,8,1,7,6]=>[5,4,6,7,1,8,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[[[[],[[],[[],[]]]],[]],[[],[[],[[],[]]]]]
[4,6,3,2,8,7,1,5]=>[5,3,6,7,1,2,8,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[[],[]]],[[],[]]],[[],[[],[[],[]]]]]
[4,7,3,2,8,6,5,1]=>[5,2,6,7,1,3,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[],[]],[[],[[],[]]]],[[],[[],[[],[]]]]]
[1,8,3,2,7,6,5,4]=>[8,1,6,7,2,3,4,5]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[[[],[[[],[[],[[],[[],[]]]]],[[],[]]]],[]]
[1,8,4,7,2,6,5,3]=>[8,1,5,2,7,3,4,6]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[[[],[[[],[[],[[],[]]]],[[[],[]],[]]]],[]]
[3,6,4,8,2,7,1,5]=>[6,3,5,1,7,2,8,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[[],[]]]]
[3,5,4,8,2,1,7,6]=>[6,4,5,1,7,8,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[[],[]]]]
[3,4,5,8,1,2,7,6]=>[6,5,4,1,8,7,2,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[[[[[],[[],[[],[]]]],[]],[]],[[[],[]],[]]]
[4,2,1,5,8,3,7,6]=>[5,7,8,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[],[[],[[],[]]]],[]],[[[],[]],[[],[]]]]
[4,2,1,6,8,7,3,5]=>[5,7,8,3,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[[],[]]],[[],[]]],[[[],[]],[[],[]]]]
[3,4,6,8,1,7,2,5]=>[6,5,3,1,8,2,7,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[[[],[[],[]]],[[],[]]],[]],[[[],[]],[]]]
[3,6,5,8,7,2,1,4]=>[6,3,4,1,2,7,8,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[[],[]]],[[],[[],[]]]],[[],[[],[]]]]
[3,6,7,8,5,4,1,2]=>[6,3,2,1,4,5,8,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[[],[]],[]]]
[3,5,7,8,6,1,4,2]=>[6,4,2,1,3,8,5,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[[],[]],[]]]
[3,4,7,8,1,6,5,2]=>[6,5,2,1,8,3,4,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[[[[[],[]],[[],[[],[]]]],[]],[[[],[]],[]]]
[4,2,1,7,8,6,5,3]=>[5,7,8,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[],[]],[[],[[],[]]]],[[[],[]],[[],[]]]]
[2,3,8,1,7,6,5,4]=>[7,6,1,8,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[[[[],[[],[[],[[],[[],[]]]]]],[]],[[],[]]]
[2,4,8,7,1,6,5,3]=>[7,5,1,2,8,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[],[[],[[],[[],[]]]]],[[],[]]],[[],[]]]
[2,5,8,7,6,1,4,3]=>[7,4,1,2,3,8,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[[[[],[[],[[],[]]]],[[],[[],[]]]],[[],[]]]
[8,1,6,7,3,2,5,4]=>[1,8,3,2,6,7,4,5]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[[],[[[[],[]],[[[],[[],[]]],[[],[]]]],[]]]
[8,1,6,7,2,3,4,5]=>[1,8,3,2,7,6,5,4]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[[],[[[[],[]],[[[[[],[]],[]],[]],[]]],[]]]
[8,1,4,3,2,7,6,5]=>[1,8,5,6,7,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[[],[[[[],[[],[[],[]]]],[[],[[],[]]]],[]]]
[8,1,5,3,7,2,6,4]=>[1,8,4,6,2,7,3,5]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>[[],[[[[],[[],[]]],[[[],[]],[[],[]]]],[]]]
[6,3,2,1,4,5,8,7]=>[3,6,7,8,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[[],[]]],[[[[],[]],[]],[[],[[],[]]]]]
[3,7,8,5,6,2,1,4]=>[6,2,1,4,3,7,8,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[[],[]]]]
[3,7,8,4,2,6,1,5]=>[6,2,1,5,7,3,8,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[[[[],[]],[[[],[[],[]]],[]]],[[],[[],[]]]]
[3,5,2,4,8,6,1,7]=>[6,4,7,5,1,3,8,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[[[[],[[[],[]],[]]],[[],[]]],[[],[[],[]]]]
[5,4,2,3,1,8,6,7]=>[4,5,7,6,8,1,3,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[[[],[[[],[]],[]]],[[],[[[],[]],[[],[]]]]]
[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]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[[],[]]],[]]]]
[6,4,2,1,3,8,5,7]=>[3,5,7,8,6,1,4,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[],[]]],[[[],[]],[[[],[]],[[],[]]]]]
[2,6,5,8,7,3,4,1]=>[7,3,4,1,2,6,5,8]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[[[[],[[],[]]],[[],[[[],[]],[]]]],[[],[]]]
[7,5,1,2,8,3,4,6]=>[2,4,8,7,1,6,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[[[],[]],[[[],[]],[[[[[],[]],[]],[]],[]]]]
[7,6,1,8,2,3,4,5]=>[2,3,8,1,7,6,5,4]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[[[],[]],[[],[[[[[[],[]],[]],[]],[]],[]]]]
[7,6,1,8,4,5,2,3]=>[2,3,8,1,5,4,7,6]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[[[],[]],[[],[[[[],[]],[[[],[]],[]]],[]]]]
[6,7,8,1,4,5,2,3]=>[3,2,1,8,5,4,7,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[[[[],[]],[]],[[[[],[]],[[[],[]],[]]],[]]]
[6,7,8,1,3,2,5,4]=>[3,2,1,8,6,7,4,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[[[[],[]],[]],[[[[],[[],[]]],[[],[]]],[]]]
[2,5,6,7,8,3,4,1]=>[7,4,3,2,1,6,5,8]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[[[[[],[]],[]],[]],[[[],[]],[]]],[[],[]]]
[2,4,6,7,3,8,5,1]=>[7,5,3,2,6,1,4,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[],[]],[]],[[],[]]],[[],[]]],[[],[]]]
[4,2,6,7,3,1,5,8]=>[5,7,3,2,6,8,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[],[]],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,7,8,3,2,1,6,5]=>[5,2,1,6,7,8,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[],[]],[[],[[],[]]]],[[],[[],[[],[]]]]]
[5,7,8,3,1,2,6,4]=>[4,2,1,6,8,7,3,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]]
[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[[[],[]],[[],[]]],[[],[[[[],[]],[]],[]]]]
[4,6,3,8,2,1,7,5]=>[5,3,6,1,7,8,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[[],[]]],[[],[]]],[[],[[],[[],[]]]]]
[4,2,5,3,7,1,6,8]=>[5,7,4,6,2,8,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[],[]],[[],[]]],[]],[[[],[]],[[],[]]]]
[5,3,6,7,1,2,8,4]=>[4,6,3,2,8,7,1,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[],[]],[]],[]],[[[],[]],[[[],[]],[]]]]
[3,5,6,7,8,2,1,4]=>[6,4,3,2,1,7,8,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[[],[]]]]
[3,4,6,7,2,8,1,5]=>[6,5,3,2,7,1,8,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[],[]],[]],[[],[]]],[]],[[],[[],[]]]]
[7,4,6,1,8,3,5,2]=>[2,5,3,8,1,6,4,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[[[],[]],[[[],[[],[]]],[[[],[[],[]]],[]]]]
[7,3,5,1,8,4,6,2]=>[2,6,4,8,1,5,3,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[7,3,4,1,8,5,6,2]=>[2,6,5,8,1,4,3,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[[[],[]],[[[[[],[]],[]],[]],[[[],[]],[]]]]
[4,5,7,3,1,8,6,2]=>[5,4,2,6,8,1,3,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[[[[[],[]],[[],[]]],[]],[[],[[[],[]],[]]]]
[1,6,5,2,7,4,3,8]=>[8,3,4,7,2,5,6,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>[[[[[],[]],[]],[[],[[[],[[],[]]],[]]]],[]]
[3,6,7,5,1,8,4,2]=>[6,3,2,4,8,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[[],[]],[]]]
[7,5,6,1,8,3,4,2]=>[2,4,3,8,1,6,5,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[[],[]]],[]]]]
[7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[[[],[]],[[],[[],[[[],[[],[[],[]]]],[]]]]]
[6,4,2,1,8,7,5,3]=>[3,5,7,8,1,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[],[]]],[[[],[]],[[[],[]],[[],[]]]]]
[5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[[],[[],[]]]],[[[],[]],[[],[[],[]]]]]
[2,6,5,1,7,8,4,3]=>[7,3,4,8,2,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[],[]],[]],[[],[[],[[],[]]]]],[[],[]]]
[4,5,7,1,6,8,2,3]=>[5,4,2,8,3,1,7,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[],[]],[[],[]]],[]],[[[[],[]],[]],[]]]
[4,5,7,1,3,8,2,6]=>[5,4,2,8,6,1,7,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[[[[[],[]],[[],[]]],[]],[[[],[[],[]]],[]]]
[6,5,1,2,8,4,3,7]=>[3,4,8,7,1,5,6,2]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[[[],[[],[]]],[[],[[[[],[[],[]]],[]],[]]]]
[6,4,1,2,8,5,3,7]=>[3,5,8,7,1,4,6,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[[],[]]],[[[],[]],[[[[],[]],[]],[]]]]
[4,3,1,2,8,6,5,7]=>[5,6,8,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[[[],[[[],[]],[[],[]]]],[[],[[[],[]],[]]]]
[6,1,2,5,8,3,4,7]=>[3,8,7,4,1,6,5,2]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[[[],[[],[]]],[[[[],[[[],[]],[]]],[]],[]]]
[2,6,1,5,7,8,3,4]=>[7,3,8,4,2,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[[[[[],[]],[]],[[],[[[],[]],[]]]],[[],[]]]
[7,6,1,5,8,3,2,4]=>[2,3,8,4,1,6,7,5]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>[[[],[]],[[],[[[],[[[],[]],[[],[]]]],[]]]]
[3,6,7,1,5,8,2,4]=>[6,3,2,8,4,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[[],[]],[]]]
[7,1,6,5,8,2,4,3]=>[2,8,3,4,1,7,5,6]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>[[[],[]],[[[],[[],[[[],[[],[]]],[]]]],[]]]
[7,5,1,6,8,4,2,3]=>[2,4,8,3,1,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[[[],[]],[[[],[]],[[[],[[[],[]],[]]],[]]]]
[7,4,1,6,8,5,2,3]=>[2,5,8,3,1,4,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[],[]],[[[],[[],[]]],[[[[],[]],[]],[]]]]
[5,2,3,1,8,6,7,4]=>[4,7,6,8,1,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[[[],[[[],[]],[]]],[[[[],[]],[]],[[],[]]]]
[1,6,2,5,7,3,4,8]=>[8,3,7,4,2,6,5,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[[[[[],[]],[]],[[[],[[[],[]],[]]],[]]],[]]
[6,2,1,5,8,7,3,4]=>[3,7,8,4,1,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[[[],[[],[]]],[[[],[[[],[]],[]]],[[],[]]]]
[7,3,1,5,8,6,2,4]=>[2,6,8,4,1,3,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[6,2,4,1,8,5,7,3]=>[3,7,5,8,1,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[[],[]]],[[[[],[]],[[],[]]],[[],[]]]]
[6,2,5,1,8,4,7,3]=>[3,7,4,8,1,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[[[],[[],[]]],[[[],[[],[[],[]]]],[[],[]]]]
[7,1,6,4,8,2,5,3]=>[2,8,3,5,1,7,4,6]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[[[],[]],[[[],[[[],[]],[[[],[]],[]]]],[]]]
[7,1,5,3,8,2,6,4]=>[2,8,4,6,1,7,3,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[[[],[]],[[[[],[]],[[[],[]],[[],[]]]],[]]]
[6,1,5,2,8,3,7,4]=>[3,8,4,7,1,6,2,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[[[],[[],[]]],[[[],[[[[],[]],[]],[]]],[]]]
[7,3,1,4,8,6,2,5]=>[2,6,8,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[[[],[]],[[[[],[[],[]]],[]],[[[],[]],[]]]]
[6,1,4,2,8,3,7,5]=>[3,8,5,7,1,6,2,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[],[[],[]]],[[[[],[]],[[[],[]],[]]],[]]]
[7,1,4,3,8,2,6,5]=>[2,8,5,6,1,7,3,4]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>[[[],[]],[[[[],[[],[]]],[[],[[],[]]]],[]]]
[3,6,7,1,4,8,2,5]=>[6,3,2,8,5,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[[],[]],[]]]
[5,1,3,2,8,4,7,6]=>[4,8,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[[[],[[],[[],[]]]],[[[[],[]],[[],[]]],[]]]
[2,6,1,4,7,8,3,5]=>[7,3,8,5,2,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[],[]],[]],[[[],[]],[[],[]]]],[[],[]]]
[7,1,3,5,8,2,4,6]=>[2,8,6,4,1,7,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[[[],[]],[[[[[],[]],[[],[]]],[[],[]]],[]]]
[7,8,5,6,1,3,4,2]=>[2,1,4,3,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[[],[]]],[]]]]
[7,8,1,3,6,2,5,4]=>[2,1,8,6,3,7,4,5]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[[[],[]],[[[[],[[],[[],[]]]],[[],[]]],[]]]
[1,3,8,4,7,2,5,6]=>[8,6,1,5,2,7,4,3]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>[[[[],[[[],[[[],[]],[]]],[]]],[[],[]]],[]]
[3,6,1,4,7,2,5,8]=>[6,3,8,5,2,7,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[[[[],[]],[]],[[[],[]],[]]],[[[],[]],[]]]
[4,6,1,2,5,7,3,8]=>[5,3,8,7,4,2,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[],[]],[]],[[],[]]],[[[[],[]],[]],[]]]
[1,4,8,2,5,7,3,6]=>[8,5,1,7,4,2,6,3]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>[[[[],[[[],[[],[]]],[]]],[[[],[]],[]]],[]]
[7,8,4,2,5,1,3,6]=>[2,1,5,7,4,8,6,3]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[[],[]]]]]
[7,8,1,5,4,6,3,2]=>[2,1,8,4,5,3,6,7]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>[[[],[]],[[[[],[]],[[],[[],[[],[]]]]],[]]]
[7,8,2,1,6,3,4,5]=>[2,1,7,8,3,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>[[[],[]],[[[],[[[[],[]],[]],[]]],[[],[]]]]
[7,8,3,5,6,4,1,2]=>[2,1,6,4,3,5,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[1,5,8,4,3,2,7,6]=>[8,4,1,5,6,7,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>[[[[],[[],[[],[]]]],[[],[[],[[],[]]]]],[]]
[2,6,4,8,3,7,1,5]=>[7,3,5,1,6,2,8,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[[],[]]]],[[],[]]]
[2,1,8,4,7,3,6,5]=>[7,8,1,5,2,6,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[[[],[[[],[[],[[],[]]]],[[],[]]]],[[],[]]]
[3,5,8,4,7,6,1,2]=>[6,4,1,5,2,3,8,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[[],[]],[]]]
[4,6,2,5,3,1,8,7]=>[5,3,7,4,6,8,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[[],[]]],[[],[]]],[[[],[]],[[],[]]]]
[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[[],[]]]]]]
[5,7,3,6,1,4,8,2]=>[4,2,6,3,8,5,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]]
[1,4,7,2,5,3,8,6]=>[8,5,2,7,4,6,1,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[[[[[],[]],[[[],[]],[]]],[[[],[]],[]]],[]]
[6,4,7,3,5,8,1,2]=>[3,5,2,6,4,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[],[]],[]],[[[],[]],[[],[[[],[]],[]]]]]
[1,6,7,5,8,2,4,3]=>[8,3,2,4,1,7,5,6]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>[[[[[],[]],[]],[[],[[[],[[],[]]],[]]]],[]]
[3,5,6,7,8,1,4,2]=>[6,4,3,2,1,8,5,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[[],[]],[]]]
[3,6,5,7,8,2,1,4]=>[6,3,4,2,1,7,8,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[[],[]]]]
[2,1,6,8,4,5,3,7]=>[7,8,3,1,5,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[[],[]]]],[[],[]]]
[2,7,1,8,5,3,4,6]=>[7,2,8,1,4,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[[[[],[]],[[[],[]],[[[],[]],[]]]],[[],[]]]
[3,7,6,8,5,4,1,2]=>[6,2,3,1,4,5,8,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[[],[]],[]]]
[4,3,8,5,6,7,1,2]=>[5,6,1,4,3,2,8,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[[[],[[[[],[]],[]],[]]],[[],[[[],[]],[]]]]
[4,2,8,1,6,3,7,5]=>[5,7,1,8,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[],[[[],[]],[[],[]]]],[[[],[]],[[],[]]]]
[3,1,8,5,4,6,7,2]=>[6,8,1,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[[[],[[[[],[]],[]],[[],[]]]],[[[],[]],[]]]
[1,7,3,8,5,2,6,4]=>[8,2,6,1,4,7,3,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[[[[],[]],[[[[],[]],[[],[]]],[[],[]]]],[]]
[5,7,8,6,3,2,1,4]=>[4,2,1,3,6,7,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[[],[]]]]]
[5,7,8,6,1,3,4,2]=>[4,2,1,3,8,6,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[[],[]]],[]]]
[7,6,5,8,1,3,4,2]=>[2,3,4,1,8,6,5,7]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[[[],[]],[[],[[],[[[[],[]],[[],[]]],[]]]]]
[3,6,5,4,1,2,7,8]=>[6,3,4,5,8,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[],[]],[]],[[],[[],[]]]],[[[],[]],[]]]
[3,6,4,5,8,7,1,2]=>[6,3,5,4,1,2,8,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[[],[]],[]]]
[6,5,2,7,1,8,4,3]=>[3,4,7,2,8,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[[[[],[]],[]],[[],[[[],[[],[]]],[[],[]]]]]
[5,6,2,7,3,1,4,8]=>[4,3,7,2,6,8,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[],[]],[]],[]],[[[[],[]],[]],[[],[]]]]
[5,7,6,4,1,8,3,2]=>[4,2,3,5,8,1,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>[[[[],[]],[[],[]]],[[],[[[],[[],[]]],[]]]]
[6,1,5,2,8,3,4,7]=>[3,8,4,7,1,6,5,2]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[[[],[[],[]]],[[[],[[[[],[]],[]],[]]],[]]]
[6,7,5,3,8,4,1,2]=>[3,2,4,6,1,5,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[[[[],[]],[]],[[],[[[],[]],[[[],[]],[]]]]]
[6,8,1,4,2,5,7,3]=>[3,1,8,5,7,4,2,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[],[[],[]]],[[[[],[]],[[[],[]],[]]],[]]]
[1,6,4,2,5,7,3,8]=>[8,3,5,7,4,2,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>[[[[[],[]],[]],[[[],[]],[[[],[]],[]]]],[]]
[1,6,3,7,5,4,2,8]=>[8,3,6,2,4,5,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[[[[[],[]],[]],[[[],[[],[]]],[[],[]]]],[]]
[6,8,1,3,7,5,4,2]=>[3,1,8,6,2,4,5,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[],[[],[]]],[[[[],[[],[]]],[[],[]]],[]]]
[7,4,2,6,5,1,3,8]=>[2,5,7,3,4,8,6,1]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[[],[]]]]]
[7,4,6,3,1,5,2,8]=>[2,5,3,6,8,4,7,1]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[[[],[]],[[[],[[],[]]],[[],[[[],[]],[]]]]]
[7,2,3,5,4,1,6,8]=>[2,7,6,4,5,8,3,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[[[],[]],[[[[[],[]],[[],[]]],[]],[[],[]]]]
[6,8,1,2,3,4,7,5]=>[3,1,8,7,6,5,2,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[[[],[[],[]]],[[[[[[],[]],[]],[]],[]],[]]]
[5,1,8,2,3,6,7,4]=>[4,8,1,7,6,3,2,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[[[],[[[],[]],[]]],[[[[[],[]],[]],[]],[]]]
[6,2,8,1,3,7,4,5]=>[3,7,1,8,6,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[[[],[[],[]]],[[[[[],[]],[]],[]],[[],[]]]]
[2,5,7,8,1,4,6,3]=>[7,4,2,1,8,5,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[[],[]]]],[[],[]]]
[5,2,1,8,6,3,7,4]=>[4,7,8,1,3,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[[[],[[[],[]],[]]],[[[[],[]],[]],[[],[]]]]
[4,1,2,8,5,6,7,3]=>[5,8,7,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[[[],[[[[],[]],[]],[]]],[[[[],[]],[]],[]]]
[5,3,8,7,6,2,4,1]=>[4,6,1,2,3,7,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[[],[[],[]]]],[[[],[]],[[],[[],[]]]]]
[5,8,4,7,6,2,1,3]=>[4,1,5,2,3,7,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[[[],[[],[[],[]]]],[[],[[[],[]],[[],[]]]]]
[5,8,7,4,3,6,1,2]=>[4,1,2,5,6,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[[[],[[],[[],[]]]],[[],[[],[[[],[]],[]]]]]
[6,4,8,3,1,7,2,5]=>[3,5,1,6,8,2,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[[],[]]],[[[],[]],[[],[[[],[]],[]]]]]
[6,3,8,7,2,5,1,4]=>[3,6,1,2,7,4,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[[],[]]],[[[],[[],[]]],[[],[[],[]]]]]
[6,3,1,8,7,2,4,5]=>[3,6,8,1,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[[],[]]],[[[[],[]],[]],[[[],[]],[]]]]
[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[[],[[],[]]]],[[[],[]],[[[],[]],[]]]]
[1,5,3,7,8,6,2,4]=>[8,4,6,2,1,3,7,5]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[[[[[],[]],[[],[]]],[[[],[]],[[],[]]]],[]]
[5,1,8,4,6,2,7,3]=>[4,8,1,5,3,7,2,6]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[[[],[[[],[]],[]]],[[[],[[[],[]],[]]],[]]]
[5,8,7,4,1,6,2,3]=>[4,1,2,5,8,3,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[[],[[],[]]]],[[],[[[[],[]],[]],[]]]]
[6,8,5,1,2,3,7,4]=>[3,1,4,8,7,6,2,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[],[[],[]]],[[],[[[[[],[]],[]],[]],[]]]]
[6,8,5,2,4,3,7,1]=>[3,1,4,7,5,6,2,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[[[],[[],[]]],[[],[[[],[[],[]]],[[],[]]]]]
[4,5,1,2,6,8,7,3]=>[5,4,8,7,3,1,2,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[[[[[],[[],[]]],[]],[]],[[[[],[]],[]],[]]]
[3,6,2,7,5,1,4,8]=>[6,3,7,2,4,8,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[[],[]]]]
[4,2,6,1,7,3,5,8]=>[5,7,3,8,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[],[]],[]],[[],[]]],[[[],[]],[[],[]]]]
[4,2,5,7,1,6,3,8]=>[5,7,4,2,8,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[],[]],[[],[]]],[]],[[[],[]],[[],[]]]]
[3,5,2,7,8,1,6,4]=>[6,4,7,2,1,8,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[],[]],[[],[]]],[[],[]]],[[],[[],[]]]]
[3,4,6,8,5,2,7,1]=>[6,5,3,1,4,7,2,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[[[[[],[[],[]]],[[],[]]],[]],[[],[[],[]]]]
[4,2,5,6,1,8,7,3]=>[5,7,4,3,8,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[[[],[[],[]]],[]],[]],[[[],[]],[[],[]]]]
[2,1,7,5,8,6,4,3]=>[7,8,2,4,1,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[],[]],[[[],[]],[[],[[],[]]]]],[[],[]]]
[1,2,7,5,3,8,6,4]=>[8,7,2,4,6,1,3,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[[[[[],[]],[[[],[]],[[[],[]],[]]]],[]],[]]
[4,1,2,7,3,8,6,5]=>[5,8,7,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[],[]],[[],[[],[]]]],[[[[],[]],[]],[]]]
[7,1,4,2,5,3,8,6]=>[2,8,5,7,4,6,1,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[[[],[]],[[[[[],[]],[]],[[[],[]],[]]],[]]]
[6,4,1,7,5,2,3,8]=>[3,5,8,2,4,7,6,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[],[]],[]],[[[],[]],[[[[],[]],[]],[]]]]
[6,1,3,7,5,2,4,8]=>[3,8,6,2,4,7,5,1]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[[[[],[]],[]],[[[[],[[],[]]],[[],[]]],[]]]
[3,7,1,2,5,4,8,6]=>[6,2,8,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[[[],[]],[[[],[]],[[],[]]]],[[[],[]],[]]]
[1,3,7,2,4,8,6,5]=>[8,6,2,7,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>[[[[[],[]],[[[],[[],[]]],[]]],[[],[]]],[]]
[3,2,7,8,1,6,5,4]=>[6,7,2,1,8,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[],[]],[[],[[],[[],[]]]]],[[],[[],[]]]]
[2,4,1,7,8,6,5,3]=>[7,5,8,2,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[],[]],[[],[[],[]]]],[[],[]]],[[],[]]]
[3,4,7,5,1,8,6,2]=>[6,5,2,4,8,1,3,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[[[[[],[]],[[[],[]],[]]],[]],[[[],[]],[]]]
[5,2,8,1,3,7,4,6]=>[4,7,1,8,6,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[[],[[],[]]]],[[[[],[]],[]],[[],[]]]]
[6,3,7,4,5,1,8,2]=>[3,6,2,5,4,8,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[],[]],[]],[[[[],[]],[]],[[[],[]],[]]]]
[2,6,3,7,5,8,1,4]=>[7,3,6,2,4,1,8,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[[[[[],[]],[]],[[[],[[],[]]],[]]],[[],[]]]
[5,7,4,6,2,8,1,3]=>[4,2,5,3,7,1,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[],[]],[[],[]]],[[],[[[],[]],[[],[]]]]]
[5,7,3,4,6,1,8,2]=>[4,2,6,5,3,8,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]]
[8,5,2,4,1,6,7,3]=>[1,4,7,5,8,3,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[[],[[[[],[]],[]],[[[],[[],[]]],[[],[]]]]]
[8,4,1,3,6,2,5,7]=>[1,5,8,6,3,7,4,2]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[[],[[[[],[]],[[],[]]],[[[],[[],[]]],[]]]]
[4,8,3,1,7,2,5,6]=>[5,1,6,8,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[[[],[[],[[[],[]],[]]]],[[],[[[],[]],[]]]]
[5,2,8,4,7,1,6,3]=>[4,7,1,5,2,8,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[[],[[],[]]]],[[[],[[],[]]],[[],[]]]]
[5,8,4,7,3,1,6,2]=>[4,1,5,2,6,8,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[[[],[[],[[],[]]]],[[],[[],[[[],[]],[]]]]]
[4,6,8,3,1,7,5,2]=>[5,3,1,6,8,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[[[[],[[],[]]],[[],[]]],[[],[[[],[]],[]]]]
[6,3,8,2,7,1,5,4]=>[3,6,1,7,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[[],[]]],[[[],[[],[]]],[[],[[],[]]]]]
[3,5,1,8,2,7,4,6]=>[6,4,8,1,7,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[[],[[],[]]]],[[],[]]],[[[],[]],[]]]
[7,5,1,3,6,2,4,8]=>[2,4,8,6,3,7,5,1]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[[[],[]],[[[],[]],[[[[],[]],[[],[]]],[]]]]
[4,1,6,2,8,3,7,5]=>[5,8,3,7,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[[],[]]],[[],[]]],[[[[],[]],[]],[]]]
[1,6,2,8,5,3,7,4]=>[8,3,7,1,4,6,2,5]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>[[[[],[[],[]]],[[[],[[[],[]],[]]],[]]],[]]
[6,8,5,3,1,7,4,2]=>[3,1,4,6,8,2,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[[],[]]],[[],[[[],[]],[[[],[]],[]]]]]
[5,6,7,3,1,8,4,2]=>[4,3,2,6,8,1,5,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[],[]],[]],[]],[[[],[]],[[[],[]],[]]]]
[5,6,2,1,7,8,4,3]=>[4,3,7,8,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[[],[]]],[[],[]]]]
[5,6,3,7,1,2,4,8]=>[4,3,6,2,8,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[],[]],[]],[]],[[[],[]],[[[],[]],[]]]]
[6,4,7,2,8,1,5,3]=>[3,5,2,7,1,8,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[],[]],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,7,4,8,3,1,5,2]=>[3,2,5,1,6,8,4,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[],[]],[]],[[[],[]],[[],[[[],[]],[]]]]]
[5,7,3,8,2,6,1,4]=>[4,2,6,1,7,3,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[[],[]]]]]
[3,8,2,4,6,7,1,5]=>[6,1,7,5,3,2,8,4]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[[[],[[[[],[]],[[],[]]],[]]],[[],[[],[]]]]
[3,5,6,8,2,7,1,4]=>[6,4,3,1,7,2,8,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[[],[]]]]
[5,6,2,3,7,8,1,4]=>[4,3,7,6,2,1,8,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[],[]],[]],[]],[[[[],[]],[]],[[],[]]]]
[8,4,3,6,5,1,7,2]=>[1,5,6,3,4,8,2,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[[],[[[[],[]],[[],[]]],[[],[[[],[]],[]]]]]
[8,7,5,4,1,6,3,2]=>[1,2,4,5,8,3,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[[],[[],[[[],[]],[[],[[[],[[],[]]],[]]]]]]
[7,8,5,4,1,3,6,2]=>[2,1,4,5,8,6,3,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[[],[]]],[]]]]]
[6,8,5,4,2,1,7,3]=>[3,1,4,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[[[],[[],[]]],[[],[[],[[[],[]],[[],[]]]]]]
[3,2,8,6,5,1,7,4]=>[6,7,1,3,4,8,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[[],[]]]]
[3,2,1,7,6,4,5,8]=>[6,7,8,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[[],[]]]]
[4,1,3,7,6,2,5,8]=>[5,8,6,2,3,7,4,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[[[[],[]],[[],[[],[]]]],[[[],[[],[]]],[]]]
[8,1,6,5,2,3,7,4]=>[1,8,3,4,7,6,2,5]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[[],[[[[],[]],[[],[[[[],[]],[]],[]]]],[]]]
[1,2,8,3,7,4,5,6]=>[8,7,1,6,2,5,4,3]=>[[[.,[[.,[[[.,.],.],.]],.]],.],.]=>[[[[],[[[],[[[[],[]],[]],[]]],[]]],[]],[]]
[8,1,7,2,6,3,5,4]=>[1,8,2,7,3,6,4,5]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[],[[[],[[[],[[[],[[],[]]],[]]],[]]],[]]]
[7,1,8,2,6,4,3,5]=>[2,8,1,7,3,5,6,4]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>[[[],[]],[[[[],[[[],[]],[[],[]]]],[]],[]]]
[4,1,3,8,2,7,5,6]=>[5,8,6,1,7,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>[[[],[[],[[[],[]],[]]]],[[[],[[],[]]],[]]]
[3,2,1,8,4,7,5,6]=>[6,7,8,1,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[[[],[[[],[[[],[]],[]]],[]]],[[],[[],[]]]]
[4,8,2,7,1,6,5,3]=>[5,1,7,2,8,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[],[[],[[],[[],[]]]]],[[[],[]],[[],[]]]]
[5,8,7,2,1,6,4,3]=>[4,1,2,7,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[[],[[],[]]]],[[[],[[],[]]],[[],[]]]]
[6,8,7,1,3,5,4,2]=>[3,1,2,8,6,4,5,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[],[[],[]]],[[[[],[[],[]]],[[],[]]],[]]]
[8,7,6,1,5,4,3,2]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[[],[[],[[],[[[],[[],[[],[[],[]]]]],[]]]]]
[8,6,7,1,4,5,3,2]=>[1,3,2,8,5,4,6,7]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[[],[[[],[]],[[[[],[]],[[],[[],[]]]],[]]]]
[7,6,8,1,4,3,5,2]=>[2,3,1,8,5,6,4,7]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[[[],[]],[[],[[[[],[]],[[],[[],[]]]],[]]]]
[6,7,8,1,3,4,5,2]=>[3,2,1,8,6,5,4,7]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>[[[[],[]],[]],[[[[[],[]],[]],[[],[]]],[]]]
[5,7,8,2,1,4,6,3]=>[4,2,1,7,8,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[[],[]]]]
[4,7,2,8,1,5,6,3]=>[5,2,7,1,8,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[],[]],[[[],[]],[]]],[[[],[]],[[],[]]]]
[3,2,7,8,1,5,6,4]=>[6,7,2,1,8,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[],[]],[[[],[]],[[],[]]]],[[],[[],[]]]]
[3,2,6,8,4,1,7,5]=>[6,7,3,1,5,8,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[[],[]]]]
[4,6,2,8,3,1,7,5]=>[5,3,7,1,6,8,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[[],[]]],[[],[]]],[[[],[]],[[],[]]]]
[7,5,8,3,1,4,6,2]=>[2,4,1,6,8,5,3,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[[[],[]],[[[],[]],[[[],[]],[[[],[]],[]]]]]
[8,5,7,3,1,6,4,2]=>[1,4,2,6,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[[],[[[],[[],[]]],[[[],[]],[[[],[]],[]]]]]
[8,4,3,7,1,6,5,2]=>[1,5,6,2,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[[],[[[],[[],[[],[]]]],[[],[[[],[]],[]]]]]
[7,4,3,8,1,5,6,2]=>[2,5,6,1,8,4,3,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[[],[]],[]]]]]
[6,4,3,8,2,1,7,5]=>[3,5,6,1,7,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[[[],[[],[]]],[[[],[]],[[],[[],[[],[]]]]]]
[5,4,3,2,8,1,7,6]=>[4,5,6,7,1,8,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[[[],[[],[[],[]]]],[[],[[],[[],[[],[]]]]]]
[4,5,2,3,8,1,7,6]=>[5,4,7,6,1,8,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[],[[],[[],[]]]],[]],[[[],[]],[[],[]]]]
[3,2,5,4,8,1,7,6]=>[6,7,4,5,1,8,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[[],[]]]]
[6,4,3,1,5,2,7,8]=>[3,5,6,8,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[],[]],[]],[[[],[]],[[],[[[],[]],[]]]]]
[7,5,1,4,2,6,3,8]=>[2,4,8,5,7,3,6,1]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[[[],[]],[[[],[]],[[[],[[[],[]],[]]],[]]]]
[4,6,2,1,5,3,7,8]=>[5,3,7,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[],[]],[]],[[],[]]],[[[],[]],[[],[]]]]
[3,2,6,1,5,4,7,8]=>[6,7,3,8,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[[],[]]]]
[5,7,1,3,2,6,4,8]=>[4,2,8,6,7,3,5,1]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[[],[]]],[]]]
[6,7,1,2,4,5,3,8]=>[3,2,8,7,5,4,6,1]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>[[[[],[]],[]],[[[[[],[]],[[],[]]],[]],[]]]
[7,6,1,2,5,4,3,8]=>[2,3,8,7,4,5,6,1]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>[[[],[]],[[],[[[[],[[],[[],[]]]],[]],[]]]]
[8,6,1,2,5,3,7,4]=>[1,3,8,7,4,6,2,5]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>[[],[[[],[]],[[[[],[[[],[]],[]]],[]],[]]]]
[7,8,1,2,3,5,6,4]=>[2,1,8,7,6,4,3,5]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[[[],[]],[[[[[[],[]],[[],[]]],[]],[]],[]]]
[4,1,3,2,5,6,7,8]=>[5,8,6,7,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[[[[[[],[]],[]],[]],[]],[[[],[[],[]]],[]]]
[5,1,2,4,3,6,7,8]=>[4,8,7,5,6,3,2,1]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[[[[[],[]],[]],[]],[[[[],[[],[]]],[]],[]]]
[5,8,7,3,4,1,2,6]=>[4,1,2,6,5,8,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[[],[[],[]]]],[[[],[]],[[[],[]],[]]]]
[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[],[]],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,7,4,5,1,8,3,2]=>[3,2,5,4,8,1,6,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>[[[[],[]],[]],[[[],[]],[[[],[[],[]]],[]]]]
[5,4,7,6,2,3,8,1]=>[4,5,2,3,7,6,1,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[],[]],[[],[]]],[[],[[[],[]],[[],[]]]]]
[5,4,7,6,8,1,2,3]=>[4,5,2,3,1,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[[[],[]],[[],[]]],[[],[[[[],[]],[]],[]]]]
[4,3,8,7,6,1,2,5]=>[5,6,1,2,3,8,7,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[[[],[[],[[],[[],[]]]]],[[],[[[],[]],[]]]]
[4,8,3,7,5,1,2,6]=>[5,1,6,2,4,8,7,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[[[],[[],[[[],[]],[]]]],[[],[[[],[]],[]]]]
[4,5,6,7,1,8,3,2]=>[5,4,3,2,8,1,6,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[[[[[[],[]],[]],[]],[]],[[[],[[],[]]],[]]]
[3,5,6,2,7,4,8,1]=>[6,4,3,7,2,5,1,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[],[]],[]],[]],[[],[]]],[[],[[],[]]]]
[3,5,6,1,7,8,4,2]=>[6,4,3,8,2,1,5,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[[[[[[],[]],[]],[]],[[],[]]],[[[],[]],[]]]
[1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[[[[[],[[],[]]],[]],[[[[],[]],[]],[]]],[]]
[1,4,2,6,8,5,7,3]=>[8,5,7,3,1,4,2,6]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[[[[[],[[],[]]],[[],[]]],[[[],[]],[]]],[]]
[8,1,3,2,5,4,6,7]=>[1,8,6,7,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[[],[[[[[[],[]],[]],[[],[]]],[[],[]]],[]]]
[2,4,1,6,8,7,5,3]=>[7,5,8,3,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]]
[4,3,1,7,6,8,5,2]=>[5,6,8,2,3,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[[[[],[]],[[],[[],[]]]],[[],[[[],[]],[]]]]
[8,3,2,1,6,5,4,7]=>[1,6,7,8,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[],[[[[],[]],[[],[[],[]]]],[[],[[],[]]]]]
[8,4,2,6,1,5,3,7]=>[1,5,7,3,8,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[],[[[[],[]],[[],[]]],[[[],[]],[[],[]]]]]
[4,2,8,7,1,6,3,5]=>[5,7,1,2,8,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[],[[],[[],[[],[]]]]],[[[],[]],[[],[]]]]
[5,3,7,2,6,4,8,1]=>[4,6,2,7,3,5,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[[],[]]]]]
[6,7,3,1,5,8,4,2]=>[3,2,6,8,4,1,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[],[]],[]],[[[],[[],[]]],[[[],[]],[]]]]
[6,7,2,1,8,5,4,3]=>[3,2,7,8,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[[[[],[]],[]],[[[],[[],[[],[]]]],[[],[]]]]
[6,7,2,8,1,5,3,4]=>[3,2,7,1,8,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[[[[],[]],[]],[[[],[[[],[]],[]]],[[],[]]]]
[6,7,8,2,1,4,3,5]=>[3,2,1,7,8,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[],[]],[]],[[[[],[]],[[],[]]],[[],[]]]]
[8,5,6,2,1,4,3,7]=>[1,4,3,7,8,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[[],[[[[],[]],[]],[[[],[[],[]]],[[],[]]]]]
[5,8,7,1,2,3,4,6]=>[4,1,2,8,7,6,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[],[[],[[],[]]]],[[[[[],[]],[]],[]],[]]]
[6,7,1,2,8,4,5,3]=>[3,2,8,7,1,5,4,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>[[[[],[]],[]],[[[[[],[]],[[],[]]],[]],[]]]
[5,1,7,3,4,8,6,2]=>[4,8,2,6,5,1,3,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[[[[],[]],[[],[]]],[[[[],[]],[[],[]]],[]]]
[4,1,8,7,2,3,6,5]=>[5,8,1,2,7,6,3,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[[[],[[],[[],[[],[]]]]],[[[[],[]],[]],[]]]
[4,8,1,7,2,3,5,6]=>[5,1,8,2,7,6,4,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[[[],[[],[[[],[]],[]]]],[[[[],[]],[]],[]]]
[3,8,1,2,7,4,5,6]=>[6,1,8,7,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[[[],[[],[[[[],[]],[]],[]]]],[[[],[]],[]]]
[3,1,8,2,7,4,6,5]=>[6,8,1,7,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>[[[],[[],[[[],[[],[]]],[]]]],[[[],[]],[]]]
[3,1,2,8,7,5,6,4]=>[6,8,7,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[[[],[[],[[[],[]],[[],[]]]]],[[[],[]],[]]]
[2,1,8,3,4,7,6,5]=>[7,8,1,6,5,2,3,4]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>[[[],[[[[],[[],[[],[]]]],[]],[]]],[[],[]]]
[1,8,2,3,4,5,7,6]=>[8,1,7,6,5,4,2,3]=>[[.,[[[[[.,[.,.]],.],.],.],.]],.]=>[[[],[[[[[[],[[],[]]],[]],[]],[]],[]]],[]]
[1,2,8,3,4,6,7,5]=>[8,7,1,6,5,3,2,4]=>[[[.,[[[[.,.],[.,.]],.],.]],.],.]=>[[[[],[[[[[],[]],[[],[]]],[]],[]]],[]],[]]
[5,8,1,4,7,2,3,6]=>[4,1,8,5,2,7,6,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[[[],[[],[[],[]]]],[[[],[[[],[]],[]]],[]]]
[5,6,1,4,8,7,3,2]=>[4,3,8,5,1,2,6,7]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[[[[],[[],[]]],[]],[[[],[[],[[],[]]]],[]]]
[3,6,4,8,5,7,1,2]=>[6,3,5,1,4,2,8,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[[],[[],[]]],[[[],[]],[]]],[[[],[]],[]]]
[3,4,7,1,8,6,5,2]=>[6,5,2,8,1,3,4,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[[[[[],[]],[[],[[],[]]]],[]],[[[],[]],[]]]
[5,3,7,1,6,8,2,4]=>[4,6,2,8,3,1,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]]
[5,8,1,7,6,2,4,3]=>[4,1,8,2,3,7,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[[[],[[],[[],[]]]],[[[[],[[],[]]],[]],[]]]
[4,6,1,2,7,8,5,3]=>[5,3,8,7,2,1,4,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[],[]],[]],[[],[]]],[[[[],[]],[]],[]]]
[6,3,7,5,2,8,1,4]=>[3,6,2,4,7,1,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[],[]],[]],[[[],[[],[]]],[[],[[],[]]]]]
[5,7,1,4,8,3,2,6]=>[4,2,8,5,1,6,7,3]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[[[[],[]],[[],[]]],[[[],[[],[[],[]]]],[]]]
[6,5,8,4,3,7,2,1]=>[3,4,1,5,6,2,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[[[],[[],[]]],[[],[[],[[],[[],[[],[]]]]]]]
[8,7,1,6,2,4,5,3]=>[1,2,8,3,7,5,4,6]=>[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[[],[[],[[[],[[[[],[]],[[],[]]],[]]],[]]]]
[5,3,8,7,4,1,2,6]=>[4,6,1,2,5,8,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[[],[[],[]]]],[[[],[]],[[[],[]],[]]]]
[8,3,6,1,2,5,7,4]=>[1,6,3,8,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[],[[[[],[]],[[],[[],[]]]],[[[],[]],[]]]]
[5,6,1,8,7,3,2,4]=>[4,3,8,1,2,6,7,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[[[[],[[],[]]],[]],[[[[],[]],[[],[]]],[]]]
[3,6,4,5,7,2,8,1]=>[6,3,5,4,2,7,1,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[],[]],[]],[[[],[]],[]]],[[],[[],[]]]]
[5,4,2,7,3,6,8,1]=>[4,5,7,2,6,3,1,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[],[]],[[],[]]],[[],[[[],[]],[[],[]]]]]
[8,5,2,6,4,7,3,1]=>[1,4,7,3,5,2,6,8]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[[],[[[[],[]],[]],[[[],[[],[]]],[[],[]]]]]
[6,2,7,4,3,5,8,1]=>[3,7,2,5,6,4,1,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[],[]],[]],[[[[],[]],[[],[]]],[[],[]]]]
[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]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[],[]],[[],[]]],[]],[[[],[]],[[],[]]]]
[3,7,6,4,5,2,8,1]=>[6,2,3,5,4,7,1,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[[[[],[]],[[],[[[],[]],[]]]],[[],[[],[]]]]
[6,5,4,3,1,8,2,7]=>[3,4,5,6,8,1,7,2]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[[[],[[],[]]],[[],[[],[[],[[[],[]],[]]]]]]
[7,5,4,1,8,3,2,6]=>[2,4,5,8,1,6,7,3]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>[[[],[]],[[[],[]],[[],[[[],[[],[]]],[]]]]]
[6,5,8,4,2,7,3,1]=>[3,4,1,5,7,2,6,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[[[],[[],[]]],[[],[[],[[[],[]],[[],[]]]]]]
[3,8,6,2,5,7,4,1]=>[6,1,3,7,4,2,5,8]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[[],[]]]]
[1,8,6,3,7,5,2,4]=>[8,1,3,6,2,4,7,5]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>[[[],[[[],[]],[[[],[[],[]]],[[],[]]]]],[]]
[8,7,1,6,2,5,4,3]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[[],[[],[[[],[[[],[[],[[],[]]]],[]]],[]]]]
[7,8,1,6,3,2,5,4]=>[2,1,8,3,6,7,4,5]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[[[],[]],[[[],[[[],[[],[]]],[[],[]]]],[]]]
[2,8,1,7,3,5,6,4]=>[7,1,8,2,6,4,3,5]=>[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>[[[],[[],[[[[],[]],[[],[]]],[]]]],[[],[]]]
[4,8,1,3,7,2,6,5]=>[5,1,8,6,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[[[],[[],[[],[[],[]]]]],[[[],[[],[]]],[]]]
[4,2,8,5,7,3,6,1]=>[5,7,1,4,2,6,3,8]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[[[],[[[],[[],[]]],[]]],[[[],[]],[[],[]]]]
[6,7,3,1,8,4,2,5]=>[3,2,6,8,1,5,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[],[]],[]],[[[[],[]],[]],[[[],[]],[]]]]
[1,7,3,8,4,5,2,6]=>[8,2,6,1,5,4,7,3]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>[[[[],[]],[[[[[],[]],[]],[]],[[],[]]]],[]]
[7,6,1,8,4,3,2,5]=>[2,3,8,1,5,6,7,4]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[[[],[]],[[],[[[[],[]],[[],[[],[]]]],[]]]]
[8,6,1,7,4,2,5,3]=>[1,3,8,2,5,7,4,6]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[[],[[[],[]],[[[[],[]],[[[],[]],[]]],[]]]]
[7,1,2,8,3,5,4,6]=>[2,8,7,1,6,4,5,3]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[[[],[]],[[[[[[],[]],[[],[]]],[]],[]],[]]]
[6,3,7,2,1,8,4,5]=>[3,6,2,7,8,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[],[]],[]],[[[[],[]],[]],[[],[[],[]]]]]
[7,2,6,1,8,4,3,5]=>[2,7,3,8,1,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[[],[]]]],[[],[]]]]
[4,2,1,5,8,3,6,7]=>[5,7,8,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>[[[[],[[[],[]],[]]],[]],[[[],[]],[[],[]]]]
[5,4,3,1,6,8,2,7]=>[4,5,6,8,3,1,7,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[[[[],[[],[]]],[]],[[],[[],[[[],[]],[]]]]]
[4,7,5,6,8,3,2,1]=>[5,2,4,3,1,6,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[],[]],[[[],[]],[]]],[[],[[],[[],[]]]]]
[6,5,1,8,7,4,2,3]=>[3,4,8,1,2,5,7,6]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[[[],[[],[]]],[[],[[[],[[[],[]],[]]],[]]]]
[3,6,8,2,4,7,5,1]=>[6,3,1,7,5,2,4,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[[],[]]],[[[],[]],[]]],[[],[[],[]]]]
[5,7,3,8,2,6,4,1]=>[4,2,6,1,7,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[[],[]]]]]
[3,6,8,1,7,2,5,4]=>[6,3,1,8,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[[],[]]],[[],[[],[]]]],[[[],[]],[]]]
[2,3,8,7,4,5,6,1]=>[7,6,1,2,5,4,3,8]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[[[[],[[],[[[[],[]],[]],[]]]],[]],[[],[]]]
[7,2,8,6,4,3,5,1]=>[2,7,1,3,5,6,4,8]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[[],[]]]],[[],[]]]]
[2,1,8,7,5,6,3,4]=>[7,8,1,2,4,3,6,5]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[[[],[[],[[[],[]],[[[],[]],[]]]]],[[],[]]]
[1,3,8,7,4,6,2,5]=>[8,6,1,2,5,3,7,4]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>[[[[],[[],[[[],[[],[]]],[]]]],[[],[]]],[]]
[4,7,1,8,6,5,2,3]=>[5,2,8,1,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[],[]],[[],[[],[]]]],[[[[],[]],[]],[]]]
[6,7,4,8,3,5,1,2]=>[3,2,5,1,6,4,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[],[]],[]],[[[],[]],[[],[[[],[]],[]]]]]
[6,7,4,5,2,8,1,3]=>[3,2,5,4,7,1,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[],[]],[]],[[[],[]],[[[],[]],[[],[]]]]]
[5,7,4,6,2,3,1,8]=>[4,2,5,3,7,6,8,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[],[]],[[],[]]],[[],[[[],[]],[[],[]]]]]
[5,7,4,6,3,8,1,2]=>[4,2,5,3,6,1,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[],[]],[[],[]]],[[],[[],[[[],[]],[]]]]]
[5,7,4,8,3,6,1,2]=>[4,2,5,1,6,3,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[],[]],[[],[]]],[[],[[],[[[],[]],[]]]]]
[6,8,4,5,3,7,1,2]=>[3,1,5,4,6,2,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[[],[]]],[[[],[]],[[],[[[],[]],[]]]]]
[5,8,4,6,3,7,1,2]=>[4,1,5,3,6,2,8,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[[[],[[[],[]],[]]],[[],[[],[[[],[]],[]]]]]
[5,8,4,6,2,7,1,3]=>[4,1,5,3,7,2,8,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[[[],[[[],[]],[]]],[[],[[[],[]],[[],[]]]]]
[6,8,4,5,2,7,1,3]=>[3,1,5,4,7,2,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[],[]]],[[[],[]],[[[],[]],[[],[]]]]]
[7,8,4,5,2,6,1,3]=>[2,1,5,4,7,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[],[]],[[[[],[]],[]],[[[],[]],[[],[]]]]]
[6,8,4,5,2,3,1,7]=>[3,1,5,4,7,6,8,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[],[]]],[[[],[]],[[[],[]],[[],[]]]]]
[5,8,4,6,2,3,1,7]=>[4,1,5,3,7,6,8,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[[[],[[[],[]],[]]],[[],[[[],[]],[[],[]]]]]
[5,6,3,4,2,8,1,7]=>[4,3,6,5,7,1,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[[],[]]],[]],[[[],[]],[[],[[],[]]]]]
[4,6,3,5,2,8,1,7]=>[5,3,6,4,7,1,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[[],[]]],[[],[]]],[[],[[],[[],[]]]]]
[4,8,3,6,2,5,1,7]=>[5,1,6,3,7,4,8,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[[[],[[[],[]],[[],[]]]],[[],[[],[[],[]]]]]
[5,8,3,6,2,4,1,7]=>[4,1,6,3,7,5,8,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[],[[[],[]],[]]],[[[],[]],[[],[[],[]]]]]
[6,8,3,5,2,4,1,7]=>[3,1,6,4,7,5,8,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[[],[]]],[[[],[[],[]]],[[],[[],[]]]]]
[7,8,3,5,2,4,1,6]=>[2,1,6,4,7,5,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[[],[]]]]]
[7,8,3,5,2,6,1,4]=>[2,1,6,4,7,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[],[]],[[[[],[]],[[],[]]],[[],[[],[]]]]]
[6,8,3,5,2,7,1,4]=>[3,1,6,4,7,2,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[[],[]]],[[[],[[],[]]],[[],[[],[]]]]]
[5,8,3,6,2,7,1,4]=>[4,1,6,3,7,2,8,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[],[[[],[]],[]]],[[[],[]],[[],[[],[]]]]]
[4,8,3,6,2,7,1,5]=>[5,1,6,3,7,2,8,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[[[],[[[],[]],[[],[]]]],[[],[[],[[],[]]]]]
[4,6,3,7,2,5,1,8]=>[5,3,6,2,7,4,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[],[]],[]],[[],[]]],[[],[[],[[],[]]]]]
[4,7,3,6,2,5,1,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[],[]],[[],[[],[]]]],[[],[[],[[],[]]]]]
[4,7,3,6,2,8,1,5]=>[5,2,6,3,7,1,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[],[]],[[],[[],[]]]],[[],[[],[[],[]]]]]
[4,7,3,8,2,6,1,5]=>[5,2,6,1,7,3,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[],[]],[[],[[],[]]]],[[],[[],[[],[]]]]]
[5,7,4,8,2,6,1,3]=>[4,2,5,1,7,3,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[],[]],[[],[]]],[[],[[[],[]],[[],[]]]]]
[5,7,3,6,2,8,1,4]=>[4,2,6,3,7,1,8,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[[],[]]]]]
[5,7,3,6,2,4,1,8]=>[4,2,6,3,7,5,8,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[[],[]]]]]
[6,7,3,5,2,4,1,8]=>[3,2,6,4,7,5,8,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[],[]],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,7,3,5,2,8,1,4]=>[3,2,6,4,7,1,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[],[]],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,7,3,8,2,5,1,4]=>[3,2,6,1,7,4,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[],[]],[]],[[[],[[],[]]],[[],[[],[]]]]]
[6,7,4,8,2,5,1,3]=>[3,2,5,1,7,4,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[],[]],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,7,5,8,2,4,1,3]=>[3,2,4,1,7,5,8,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[[[[],[]],[]],[[],[[[],[[],[]]],[[],[]]]]]
[6,8,5,7,2,3,1,4]=>[3,1,4,2,7,6,8,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[[[],[[],[]]],[[],[[[[],[]],[]],[[],[]]]]]
[6,7,4,8,2,3,1,5]=>[3,2,5,1,7,6,8,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[],[]],[]],[[[],[]],[[[],[]],[[],[]]]]]
[6,7,3,8,2,4,1,5]=>[3,2,6,1,7,5,8,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[],[]],[]],[[[[],[]],[]],[[],[[],[]]]]]
[5,7,3,8,2,4,1,6]=>[4,2,6,1,7,5,8,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[],[]],[[],[]]],[[[],[]],[[],[[],[]]]]]
[5,7,4,8,2,3,1,6]=>[4,2,5,1,7,6,8,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[],[]],[[],[]]],[[],[[[],[]],[[],[]]]]]
[5,8,4,7,2,3,1,6]=>[4,1,5,2,7,6,8,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[[[],[[],[[],[]]]],[[],[[[],[]],[[],[]]]]]
[6,8,4,7,2,3,1,5]=>[3,1,5,2,7,6,8,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[],[]]],[[[],[]],[[[],[]],[[],[]]]]]
[7,8,4,6,2,3,1,5]=>[2,1,5,3,7,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[[],[]]]]]
[7,8,3,6,2,4,1,5]=>[2,1,6,3,7,5,8,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[[[],[]],[[[],[[[],[]],[]]],[[],[[],[]]]]]
[6,8,3,7,2,4,1,5]=>[3,1,6,2,7,5,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[[],[]]],[[[[],[]],[]],[[],[[],[]]]]]
[5,8,3,7,2,4,1,6]=>[4,1,6,2,7,5,8,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[[],[[],[]]]],[[[],[]],[[],[[],[]]]]]
[4,8,3,7,2,5,1,6]=>[5,1,6,2,7,4,8,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[[[],[[],[[[],[]],[]]]],[[],[[],[[],[]]]]]
[4,7,3,8,2,5,1,6]=>[5,2,6,1,7,4,8,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[],[]],[[[],[]],[]]],[[],[[],[[],[]]]]]
[4,5,3,7,2,8,1,6]=>[5,4,6,2,7,1,8,3]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[],[]],[[],[]]],[]],[[],[[],[[],[]]]]]
[4,8,3,5,2,7,1,6]=>[5,1,6,4,7,2,8,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[[[],[[[],[[],[]]],[]]],[[],[[],[[],[]]]]]
[6,8,3,4,2,7,1,5]=>[3,1,6,5,7,2,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[[],[]]],[[[[],[]],[]],[[],[[],[]]]]]
[6,8,3,4,2,5,1,7]=>[3,1,6,5,7,4,8,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[[],[]]],[[[[],[]],[]],[[],[[],[]]]]]
[5,8,3,4,2,6,1,7]=>[4,1,6,5,7,3,8,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[],[[[],[]],[]]],[[[],[]],[[],[[],[]]]]]
[4,8,3,5,2,6,1,7]=>[5,1,6,4,7,3,8,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[[[],[[[[],[]],[]],[]]],[[],[[],[[],[]]]]]
[4,7,5,2,1,8,3,6]=>[5,2,4,7,8,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[],[]],[[[],[]],[]]],[[[],[]],[[],[]]]]
[4,6,5,2,1,3,8,7]=>[5,3,4,7,8,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[[],[]]],[[],[]]],[[[],[]],[[],[]]]]
[5,6,4,2,3,1,8,7]=>[4,3,5,7,6,8,1,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[[[[],[[],[]]],[]],[[],[[[],[]],[[],[]]]]]
[5,4,6,1,3,2,8,7]=>[4,5,3,8,6,7,1,2]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[[[[],[[],[]]],[]],[[],[[[],[[],[]]],[]]]]
[7,4,5,3,1,8,2,6]=>[2,5,4,6,8,1,7,3]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[[],[]],[]]]]]
[6,4,8,1,7,5,2,3]=>[3,5,1,8,2,4,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[[],[]]],[[[],[]],[[[[],[]],[]],[]]]]
[6,4,7,1,8,2,5,3]=>[3,5,2,8,1,7,4,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[],[]],[]],[[[],[]],[[[[],[]],[]],[]]]]
[5,6,8,7,2,1,3,4]=>[4,3,1,2,7,8,6,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[[],[]]],[]],[[[[],[]],[]],[[],[]]]]
[8,5,7,6,4,2,1,3]=>[1,4,2,3,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[],[[[],[[],[]]],[[],[[[],[]],[[],[]]]]]]
[2,1,6,8,7,4,3,5]=>[7,8,3,1,2,5,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[[],[]]]],[[],[]]]
[8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[[],[[[],[[],[[],[]]]],[[],[[],[[],[]]]]]]
[5,7,8,6,2,3,1,4]=>[4,2,1,3,7,6,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[],[]],[[],[]]],[[[[],[]],[]],[[],[]]]]
[5,8,7,6,3,2,1,4]=>[4,1,2,3,6,7,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[[],[[],[]]]],[[[],[]],[[],[[],[]]]]]
[6,8,7,5,3,2,4,1]=>[3,1,2,4,6,7,5,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[[[],[[],[]]],[[],[[[],[]],[[],[[],[]]]]]]
[7,8,4,2,6,5,3,1]=>[2,1,5,7,3,4,6,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[],[]],[[[],[[],[]]],[[[],[]],[[],[]]]]]
[4,8,6,2,7,3,1,5]=>[5,1,3,7,2,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[],[[[],[]],[[],[]]]],[[[],[]],[[],[]]]]
[3,7,1,6,8,2,5,4]=>[6,2,8,3,1,7,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[[[[],[]],[[],[[],[[],[]]]]],[[[],[]],[]]]
[6,8,4,2,7,5,1,3]=>[3,1,5,7,2,4,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[],[]]],[[[],[]],[[[],[]],[[],[]]]]]
[2,1,8,6,7,5,3,4]=>[7,8,1,3,2,4,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[[[],[[[],[]],[[],[[[],[]],[]]]]],[[],[]]]
[8,6,4,3,7,5,1,2]=>[1,3,5,6,2,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[[],[[[],[]],[[[],[]],[[],[[[],[]],[]]]]]]
[5,8,6,7,3,1,2,4]=>[4,1,3,2,6,8,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[[[],[]],[]]],[[[],[]],[[[],[]],[]]]]
[6,7,5,8,1,3,4,2]=>[3,2,4,1,8,6,5,7]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[[[[],[]],[]],[[],[[[[],[]],[[],[]]],[]]]]
[7,6,5,8,1,4,3,2]=>[2,3,4,1,8,5,6,7]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[[[],[]],[[],[[],[[[],[[],[[],[]]]],[]]]]]
[8,6,5,7,4,1,3,2]=>[1,3,4,2,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[[],[[[],[]],[[],[[],[[[],[[],[]]],[]]]]]]
[7,6,4,3,8,1,5,2]=>[2,3,5,6,1,8,4,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[[[],[]],[[],[[[],[]],[[],[[[],[]],[]]]]]]
[2,1,7,6,8,3,5,4]=>[7,8,2,3,1,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>[[[[],[]],[[],[[[],[[],[]]],[]]]],[[],[]]]
[7,5,6,8,1,4,2,3]=>[2,4,3,1,8,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[[[],[]],[[[],[]],[[[],[[[],[]],[]]],[]]]]
[6,5,7,8,1,2,4,3]=>[3,4,2,1,8,7,5,6]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[[[[],[]],[]],[[],[[[[],[[],[]]],[]],[]]]]
[4,1,7,3,6,5,8,2]=>[5,8,2,6,3,4,1,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[[[[],[]],[[],[[],[]]]],[[[],[[],[]]],[]]]
[5,1,8,4,7,6,2,3]=>[4,8,1,5,2,3,7,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[[[],[[],[[],[]]]],[[[],[[[],[]],[]]],[]]]
[8,1,3,7,4,6,5,2]=>[1,8,6,2,5,3,4,7]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[[],[[[[],[[[],[[],[]]],[]]],[[],[]]],[]]]
[5,2,8,7,4,6,1,3]=>[4,7,1,2,5,3,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[[],[[],[]]]],[[[],[[],[]]],[[],[]]]]
[8,1,3,5,4,7,6,2]=>[1,8,6,4,5,2,3,7]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[[],[[[[[],[[],[]]],[[],[]]],[[],[]]],[]]]
[6,1,4,5,3,7,8,2]=>[3,8,5,4,6,2,1,7]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[[[[],[]],[]],[[[[],[]],[[],[[],[]]]],[]]]
[5,1,7,8,6,2,4,3]=>[4,8,2,1,3,7,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[[[[],[]],[[],[]]],[[[[],[[],[]]],[]],[]]]
[8,4,7,2,5,6,1,3]=>[1,5,2,7,4,3,8,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[[],[[[],[[[],[]],[]]],[[[],[]],[[],[]]]]]
[5,6,2,1,4,8,3,7]=>[4,3,7,8,5,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[[],[[],[]]],[]],[[[],[[],[]]],[[],[]]]]
[1,2,6,3,5,4,7,8]=>[8,7,3,6,4,5,2,1]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>[[[[[[],[]],[]],[[[],[[],[]]],[]]],[]],[]]
[3,4,1,2,8,6,5,7]=>[6,5,8,7,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[[[[],[[[],[]],[[],[]]]],[]],[[[],[]],[]]]
[6,3,8,5,2,1,4,7]=>[3,6,1,4,7,8,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[[],[]]],[[[],[[],[]]],[[],[[],[]]]]]
[8,3,1,5,2,4,7,6]=>[1,6,8,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[[],[[[[],[[],[]]],[[],[]]],[[[],[]],[]]]]
[8,5,2,7,3,1,6,4]=>[1,4,7,2,6,8,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[[],[[[],[[],[]]],[[[[],[]],[]],[[],[]]]]]
[2,3,8,5,6,1,7,4]=>[7,6,1,4,3,8,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[[[[],[[[[],[]],[]],[[],[]]]],[]],[[],[]]]
[7,4,5,6,3,1,8,2]=>[2,5,4,3,6,8,1,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[[[],[]],[[[[],[]],[]],[[],[[[],[]],[]]]]]
[7,5,3,6,2,8,1,4]=>[2,4,6,3,7,1,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[[[],[]],[[[],[]],[[[],[]],[[],[[],[]]]]]]
[8,7,5,4,1,6,2,3]=>[1,2,4,5,8,3,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>[[],[[],[[[],[]],[[],[[[[],[]],[]],[]]]]]]
[2,6,4,1,8,5,7,3]=>[7,3,5,8,1,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[[],[]]],[[[],[]],[[],[]]]],[[],[]]]
[6,1,2,3,8,5,7,4]=>[3,8,7,6,1,4,2,5]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[[[],[[],[]]],[[[[[],[[],[]]],[]],[]],[]]]
[7,1,2,3,6,5,8,4]=>[2,8,7,6,3,4,1,5]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[[[],[]],[[[[[],[[],[[],[]]]],[]],[]],[]]]
[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[[[[[],[]],[[],[]]],[[[],[]],[[],[]]]],[]]
[5,8,2,4,1,3,7,6]=>[4,1,7,5,8,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[[],[[],[]]]],[[[],[[],[]]],[[],[]]]]
[8,7,2,6,3,4,1,5]=>[1,2,7,3,6,5,8,4]=>[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>[[],[[],[[[],[[[[],[]],[]],[]]],[[],[]]]]]
[4,8,1,6,3,2,7,5]=>[5,1,8,3,6,7,2,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[[[],[[[],[]],[[],[]]]],[[[],[[],[]]],[]]]
[3,1,8,6,4,2,7,5]=>[6,8,1,3,5,7,2,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[[],[]],[]]]
[8,1,6,7,4,3,2,5]=>[1,8,3,2,5,6,7,4]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>[[],[[[[],[]],[[[],[]],[[],[[],[]]]]],[]]]
[3,5,8,7,2,4,1,6]=>[6,4,1,2,7,5,8,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[[],[[],[]]]],[[],[]]],[[],[[],[]]]]
[4,2,1,3,7,8,5,6]=>[5,7,8,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[],[]],[[[],[]],[]]],[[[],[]],[[],[]]]]
[2,5,8,3,1,7,4,6]=>[7,4,1,6,8,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[[],[[],[]]]],[[[],[]],[]]],[[],[]]]
[5,2,7,8,6,4,1,3]=>[4,7,2,1,3,5,8,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[],[]],[[],[]]],[[[],[[],[]]],[[],[]]]]
[1,4,2,7,8,6,3,5]=>[8,5,7,2,1,3,6,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[[[[[],[]],[[],[[],[]]]],[[[],[]],[]]],[]]
[1,6,2,4,7,5,3,8]=>[8,3,7,5,2,4,6,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[[[[[],[]],[]],[[[[],[]],[[],[]]],[]]],[]]
[1,7,3,8,5,2,4,6]=>[8,2,6,1,4,7,5,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[[[[],[]],[[[[],[]],[[],[]]],[[],[]]]],[]]
[7,8,3,6,5,2,1,4]=>[2,1,6,3,4,7,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[[],[]]]]]
[4,7,2,8,6,1,5,3]=>[5,2,7,1,3,8,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[],[]],[[],[[],[]]]],[[[],[]],[[],[]]]]
[7,2,3,1,8,5,6,4]=>[2,7,6,8,1,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[[[],[]],[[[[[],[]],[[],[]]],[]],[[],[]]]]
[6,2,1,8,3,4,7,5]=>[3,7,8,1,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[[[],[[],[]]],[[[[[],[]],[]],[]],[[],[]]]]
[1,3,6,4,7,5,8,2]=>[8,6,3,5,2,4,1,7]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[[[[[],[]],[]],[[[],[]],[]]],[[],[]]],[]]
[6,2,7,3,5,1,8,4]=>[3,7,2,6,4,8,1,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[[[[],[]],[]],[[[[],[[],[]]],[]],[[],[]]]]
[7,2,5,1,8,3,4,6]=>[2,7,4,8,1,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[[[],[]],[[[[],[]],[[[],[]],[]]],[[],[]]]]
[7,8,2,1,4,3,5,6]=>[2,1,7,8,5,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[]],[[[[[],[]],[]],[[],[]]],[[],[]]]]
[7,5,4,2,6,8,1,3]=>[2,4,5,7,3,1,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[[],[]]]]]]
[1,7,5,3,4,6,8,2]=>[8,2,4,6,5,3,1,7]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[[[[],[]],[[[],[]],[[[],[]],[[],[]]]]],[]]
[5,2,6,3,1,8,7,4]=>[4,7,3,6,8,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[[],[]]],[]],[[[[],[]],[]],[[],[]]]]
[8,2,7,4,1,3,5,6]=>[1,7,2,5,8,6,4,3]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[[],[[[],[[[[],[]],[]],[[],[]]]],[[],[]]]]
[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]=>[[[[],[[[[[],[]],[]],[]],[[],[]]]],[]],[]]
[1,8,7,4,3,2,5,6]=>[8,1,2,5,6,7,4,3]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[[[],[[],[[[[],[]],[]],[[],[[],[]]]]]],[]]
[5,8,4,7,2,1,6,3]=>[4,1,5,2,7,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[[[],[[],[[],[]]]],[[],[[[],[]],[[],[]]]]]
[1,8,7,5,4,3,6,2]=>[8,1,2,4,5,6,3,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[[[],[[],[[[],[]],[[],[[],[[],[]]]]]]],[]]
[1,6,8,4,3,7,5,2]=>[8,3,1,5,6,2,4,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>[[[[],[[],[]]],[[[],[]],[[],[[],[]]]]],[]]
[6,8,7,3,2,5,1,4]=>[3,1,2,6,7,4,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[[],[]]],[[[],[[],[]]],[[],[[],[]]]]]
[5,3,8,1,2,7,4,6]=>[4,6,1,8,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[[],[[],[]]]],[[[],[]],[[[],[]],[]]]]
[5,1,8,3,2,6,4,7]=>[4,8,1,6,7,3,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[[[],[[[],[]],[]]],[[[[],[]],[[],[]]],[]]]
[1,7,5,4,2,6,3,8]=>[8,2,4,5,7,3,6,1]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>[[[[],[]],[[[],[]],[[],[[[],[]],[]]]]],[]]
[1,4,6,2,8,3,7,5]=>[8,5,3,7,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[[[[[],[[],[]]],[[],[]]],[[[],[]],[]]],[]]
[5,2,6,7,8,4,1,3]=>[4,7,3,2,1,5,8,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[],[]],[]],[]],[[[],[[],[]]],[[],[]]]]
[5,3,6,1,2,8,4,7]=>[4,6,3,8,7,1,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[[],[]],[]]]]
[6,7,3,8,5,2,1,4]=>[3,2,6,1,4,7,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[],[]],[]],[[[],[[],[]]],[[],[[],[]]]]]
[4,6,2,7,8,1,5,3]=>[5,3,7,2,1,8,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[],[]],[]],[[],[]]],[[[],[]],[[],[]]]]
[1,6,4,7,8,3,5,2]=>[8,3,5,2,1,6,4,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[[[[[],[]],[]],[[[],[]],[[],[[],[]]]]],[]]
[4,5,7,2,1,8,6,3]=>[5,4,2,7,8,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[],[]],[[],[]]],[]],[[[],[]],[[],[]]]]
[7,8,3,4,2,1,6,5]=>[2,1,6,5,7,8,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[[[],[]],[[[[],[[],[]]],[]],[[],[[],[]]]]]
[6,3,1,4,2,7,5,8]=>[3,6,8,5,7,2,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[],[]],[]],[[[[],[]],[]],[[[],[]],[]]]]
[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]=>[[[],[[[[[[],[]],[]],[]],[]],[[],[]]]],[]]
[6,2,3,4,1,7,8,5]=>[3,7,6,5,8,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[[[],[]],[]],[[[[[],[]],[]],[]],[[],[]]]]
[7,2,3,1,4,5,8,6]=>[2,7,6,8,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[[[],[]],[[[[[[],[]],[]],[]],[]],[[],[]]]]
[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[[],[]]],[]],[[[],[]],[[[],[]],[]]]]
[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[]],[[[[],[]],[[],[]]],[[[],[]],[]]]]
[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[[],[]]],[[[],[[],[]]],[[[],[]],[]]]]
[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[[[[],[]],[[[],[]],[[[],[]],[]]]],[[],[]]]
[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[],[]],[[],[]]],[[[],[]],[[[],[]],[]]]]
[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[],[]],[[[],[]],[[],[[[],[]],[[],[]]]]]]
[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[[],[[[],[]],[[[],[[],[]]],[[],[[],[]]]]]]
[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[[],[[[],[[],[]]],[[[],[]],[[],[[],[]]]]]]
[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[[],[[[],[[],[]]],[[],[[[],[]],[[],[]]]]]]
[7,8,4,6,1,5,2,3]=>[2,1,5,3,8,4,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[],[]],[[[],[[],[]]],[[[[],[]],[]],[]]]]
[7,8,1,6,4,5,2,3]=>[2,1,8,3,5,4,7,6]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[[[],[]],[[[],[[[],[]],[[[],[]],[]]]],[]]]
[6,8,1,7,4,5,2,3]=>[3,1,8,2,5,4,7,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[],[[],[]]],[[[[],[]],[[[],[]],[]]],[]]]
[1,8,6,7,4,5,2,3]=>[8,1,3,2,5,4,7,6]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[[[],[[[],[]],[[[],[]],[[[],[]],[]]]]],[]]
[1,8,6,7,3,5,2,4]=>[8,1,3,2,6,4,7,5]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>[[[],[[[],[]],[[[],[[],[]]],[[],[]]]]],[]]
[6,8,1,7,3,5,2,4]=>[3,1,8,2,6,4,7,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[],[[],[]]],[[[[],[[],[]]],[[],[]]],[]]]
[7,8,1,6,3,5,2,4]=>[2,1,8,3,6,4,7,5]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[[[],[]],[[[],[[[],[[],[]]],[[],[]]]],[]]]
[7,8,3,6,1,5,2,4]=>[2,1,6,3,8,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[[[],[]],[[[],[[],[[],[]]]],[[[],[]],[]]]]
[7,8,3,6,4,5,1,2]=>[2,1,6,3,5,4,8,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[[],[]],[[[],[[[],[]],[]]],[[[],[]],[]]]]
[7,8,2,6,4,5,1,3]=>[2,1,7,3,5,4,8,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[[[],[]],[[[],[[[],[]],[[],[]]]],[[],[]]]]
[7,8,2,6,3,5,1,4]=>[2,1,7,3,6,4,8,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>[[[],[]],[[[],[[[],[[],[]]],[]]],[[],[]]]]
[7,8,2,6,1,5,3,4]=>[2,1,7,3,8,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>[[[],[]],[[[],[[],[[[],[]],[]]]],[[],[]]]]
[7,8,1,6,2,5,3,4]=>[2,1,8,3,7,4,6,5]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[[[],[]],[[[],[[[],[[[],[]],[]]],[]]],[]]]
[1,8,6,7,2,5,3,4]=>[8,1,3,2,7,4,6,5]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[[[],[[[],[]],[[[],[[[],[]],[]]],[]]]],[]]
[1,8,5,7,2,6,3,4]=>[8,1,4,2,7,3,6,5]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[[[],[[[],[[],[]]],[[[[],[]],[]],[]]]],[]]
[5,8,1,7,2,6,3,4]=>[4,1,8,2,7,3,6,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[],[[],[[],[]]]],[[[[[],[]],[]],[]],[]]]
[5,8,2,7,1,6,3,4]=>[4,1,7,2,8,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[[],[[],[]]]],[[[[],[]],[]],[[],[]]]]
[6,8,2,7,1,5,3,4]=>[3,1,7,2,8,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[[[],[[],[]]],[[[],[[[],[]],[]]],[[],[]]]]
[6,8,2,7,3,5,1,4]=>[3,1,7,2,6,4,8,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[],[[],[]]],[[[[],[[],[]]],[]],[[],[]]]]
[6,8,2,7,4,5,1,3]=>[3,1,7,2,5,4,8,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[[],[]]],[[[[],[]],[[],[]]],[[],[]]]]
[6,8,3,7,4,5,1,2]=>[3,1,6,2,5,4,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[[],[]]],[[[[],[]],[]],[[[],[]],[]]]]
[3,8,6,7,4,5,1,2]=>[6,1,3,2,5,4,8,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[[],[[[],[]],[[[],[]],[]]]],[[[],[]],[]]]
[2,8,6,7,4,5,1,3]=>[7,1,3,2,5,4,8,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[[[],[[[],[]],[[[],[]],[[],[]]]]],[[],[]]]
[2,8,6,7,3,5,1,4]=>[7,1,3,2,6,4,8,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>[[[],[[[],[]],[[[],[[],[]]],[]]]],[[],[]]]
[2,8,6,7,1,5,3,4]=>[7,1,3,2,8,4,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[[[],[[[],[]],[[],[[[],[]],[]]]]],[[],[]]]
[2,8,5,7,1,6,3,4]=>[7,1,4,2,8,3,6,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[[],[[],[]]],[[[],[]],[]]]],[[],[]]]
[2,8,1,7,5,6,3,4]=>[7,1,8,2,4,3,6,5]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[[[],[[],[[[],[]],[[[],[]],[]]]]],[[],[]]]
[1,8,2,7,5,6,3,4]=>[8,1,7,2,4,3,6,5]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[[[],[[[],[[[],[]],[[[],[]],[]]]],[]]],[]]
[1,8,2,7,4,6,3,5]=>[8,1,7,2,5,3,6,4]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>[[[],[[[],[[[],[[],[]]],[[],[]]]],[]]],[]]
[2,8,1,7,4,6,3,5]=>[7,1,8,2,5,3,6,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[[[],[[],[[[],[[],[]]],[[],[]]]]],[[],[]]]
[2,8,4,7,1,6,3,5]=>[7,1,5,2,8,3,6,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[[[],[[[],[[],[[],[]]]],[[],[]]]],[[],[]]]
[2,8,4,7,3,6,1,5]=>[7,1,5,2,6,3,8,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[[[],[[[],[[],[[],[]]]],[[],[]]]],[[],[]]]
[2,8,5,7,3,6,1,4]=>[7,1,4,2,6,3,8,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[],[[[],[[],[]]],[[[],[]],[]]]],[[],[]]]
[3,8,5,7,4,6,1,2]=>[6,1,4,2,5,3,8,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[[],[]],[]]]
[5,8,3,7,4,6,1,2]=>[4,1,6,2,5,3,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[[],[[],[]]]],[[[],[]],[[[],[]],[]]]]
[5,8,2,7,4,6,1,3]=>[4,1,7,2,5,3,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[[],[[],[]]]],[[[],[[],[]]],[[],[]]]]
[5,8,2,7,3,6,1,4]=>[4,1,7,2,6,3,8,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[[],[[],[]]]],[[[[],[]],[]],[[],[]]]]
[4,8,2,7,3,6,1,5]=>[5,1,7,2,6,3,8,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[],[[],[[],[[],[]]]]],[[[],[]],[[],[]]]]
[4,8,2,7,1,6,3,5]=>[5,1,7,2,8,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[],[[],[[],[[],[]]]]],[[[],[]],[[],[]]]]
[4,8,1,7,2,6,3,5]=>[5,1,8,2,7,3,6,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[[[],[[],[[],[[],[]]]]],[[[[],[]],[]],[]]]
[1,8,4,7,2,6,3,5]=>[8,1,5,2,7,3,6,4]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[[[],[[[],[[],[[],[]]]],[[[],[]],[]]]],[]]
[1,8,4,7,3,6,2,5]=>[8,1,5,2,6,3,7,4]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>[[[],[[[],[[],[[],[]]]],[[],[[],[]]]]],[]]
[4,8,1,7,3,6,2,5]=>[5,1,8,2,6,3,7,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[[[],[[],[[],[[],[]]]]],[[[],[[],[]]],[]]]
[4,8,3,7,1,6,2,5]=>[5,1,6,2,8,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[[[],[[],[[],[[],[]]]]],[[],[[[],[]],[]]]]
[6,8,3,7,1,5,2,4]=>[3,1,6,2,8,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[[],[]]],[[[],[[],[]]],[[[],[]],[]]]]
[5,8,1,7,3,6,2,4]=>[4,1,8,2,6,3,7,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[[[],[[],[[],[]]]],[[[[],[]],[[],[]]],[]]]
[1,8,5,7,3,6,2,4]=>[8,1,4,2,6,3,7,5]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[[[],[[[],[[],[]]],[[[],[]],[[],[]]]]],[]]
[1,8,5,7,4,6,2,3]=>[8,1,4,2,5,3,7,6]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>[[[],[[[],[[],[]]],[[],[[[],[]],[]]]]],[]]
[5,8,1,7,4,6,2,3]=>[4,1,8,2,5,3,7,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[[[],[[],[[],[]]]],[[[],[[[],[]],[]]],[]]]
[5,8,4,7,1,6,2,3]=>[4,1,5,2,8,3,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[[],[[],[]]]],[[],[[[[],[]],[]],[]]]]
[6,8,4,7,1,5,2,3]=>[3,1,5,2,8,4,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[[],[]]],[[[],[]],[[[[],[]],[]],[]]]]
[6,8,5,7,1,4,2,3]=>[3,1,4,2,8,5,7,6]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[[[],[[],[]]],[[],[[[],[[[],[]],[]]],[]]]]
[5,8,6,7,3,4,1,2]=>[4,1,3,2,6,5,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[[[],[]],[]]],[[[],[]],[[[],[]],[]]]]
[5,8,6,7,2,4,1,3]=>[4,1,3,2,7,5,8,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[[[],[[[],[]],[]]],[[[],[[],[]]],[[],[]]]]
[5,8,6,7,1,4,2,3]=>[4,1,3,2,8,5,7,6]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[[[],[[[],[]],[]]],[[[],[[[],[]],[]]],[]]]
[4,8,6,7,1,5,2,3]=>[5,1,3,2,8,4,7,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[[[],[[[],[]],[[],[]]]],[[[[],[]],[]],[]]]
[4,8,5,7,1,6,2,3]=>[5,1,4,2,8,3,7,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[[[],[[[],[[],[]]],[]]],[[[[],[]],[]],[]]]
[4,8,1,7,5,6,2,3]=>[5,1,8,2,4,3,7,6]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[[[],[[],[[[],[]],[]]]],[[[[],[]],[]],[]]]
[1,8,4,7,5,6,2,3]=>[8,1,5,2,4,3,7,6]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[[[],[[[],[[[],[]],[]]],[[[],[]],[]]]],[]]
[1,8,3,7,5,6,2,4]=>[8,1,6,2,4,3,7,5]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[[[],[[[],[[[],[]],[[],[]]]],[[],[]]]],[]]
[3,8,1,7,5,6,2,4]=>[6,1,8,2,4,3,7,5]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[[[],[[],[[[],[]],[[],[]]]]],[[[],[]],[]]]
[3,8,5,7,1,6,2,4]=>[6,1,4,2,8,3,7,5]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[[[],[[[],[[],[]]],[[],[]]]],[[[],[]],[]]]
[3,8,6,7,1,5,2,4]=>[6,1,3,2,8,4,7,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>[[[],[[[],[]],[[],[[],[]]]]],[[[],[]],[]]]
[3,8,6,7,2,5,1,4]=>[6,1,3,2,7,4,8,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[[[],[[[],[]],[[],[[],[]]]]],[[],[[],[]]]]
[4,8,6,7,2,5,1,3]=>[5,1,3,2,7,4,8,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[],[[[],[]],[[],[]]]],[[[],[]],[[],[]]]]
[4,8,6,7,3,5,1,2]=>[5,1,3,2,6,4,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[[[],[[[],[]],[[],[]]]],[[],[[[],[]],[]]]]
[4,8,5,7,3,6,1,2]=>[5,1,4,2,6,3,8,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>[[[],[[[],[[],[]]],[]]],[[],[[[],[]],[]]]]
[4,8,5,7,2,6,1,3]=>[5,1,4,2,7,3,8,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[[[],[[[],[[],[]]],[]]],[[[],[]],[[],[]]]]
[3,8,5,7,2,6,1,4]=>[6,1,4,2,7,3,8,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[[[],[[[],[[],[]]],[[],[]]]],[[],[[],[]]]]
[3,8,4,7,2,6,1,5]=>[6,1,5,2,7,3,8,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[[[],[[[],[[],[[],[]]]],[]]],[[],[[],[]]]]
[3,8,4,7,1,6,2,5]=>[6,1,5,2,8,3,7,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[[[],[[[],[[],[[],[]]]],[]]],[[[],[]],[]]]
[3,8,1,7,4,6,2,5]=>[6,1,8,2,5,3,7,4]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>[[[],[[],[[[],[[],[]]],[]]]],[[[],[]],[]]]
[1,8,3,7,4,6,2,5]=>[8,1,6,2,5,3,7,4]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[[[],[[[],[[[],[[],[]]],[]]],[[],[]]]],[]]
[1,8,3,7,2,6,4,5]=>[8,1,6,2,7,3,5,4]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[[[],[[[],[[],[[[],[]],[]]]],[[],[]]]],[]]
[3,8,1,7,2,6,4,5]=>[6,1,8,2,7,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>[[[],[[],[[],[[[],[]],[]]]]],[[[],[]],[]]]
[3,8,2,7,1,6,4,5]=>[6,1,7,2,8,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[[[],[[],[[],[[[],[]],[]]]]],[[],[[],[]]]]
[3,8,2,7,4,6,1,5]=>[6,1,7,2,5,3,8,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[[[],[[],[[[],[[],[]]],[]]]],[[],[[],[]]]]
[3,8,2,7,5,6,1,4]=>[6,1,7,2,4,3,8,5]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[[[],[[],[[[],[]],[[],[]]]]],[[],[[],[]]]]
[4,8,2,7,5,6,1,3]=>[5,1,7,2,4,3,8,6]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[[[],[[],[[[],[]],[]]]],[[[],[]],[[],[]]]]
[4,8,3,7,5,6,1,2]=>[5,1,6,2,4,3,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[[[],[[],[[[],[]],[]]]],[[],[[[],[]],[]]]]
[3,8,4,7,5,6,1,2]=>[6,1,5,2,4,3,8,7]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[[[],[[[],[[[],[]],[]]],[]]],[[[],[]],[]]]
[2,8,4,7,5,6,1,3]=>[7,1,5,2,4,3,8,6]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>[[[],[[[],[[[],[]],[]]],[[],[]]]],[[],[]]]
[2,8,3,7,5,6,1,4]=>[7,1,6,2,4,3,8,5]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>[[[],[[[],[[[],[]],[[],[]]]],[]]],[[],[]]]
[2,8,3,7,4,6,1,5]=>[7,1,6,2,5,3,8,4]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[[[],[[[],[[[],[[],[]]],[]]],[]]],[[],[]]]
[2,8,3,7,1,6,4,5]=>[7,1,6,2,8,3,5,4]=>[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[[[],[[[],[[],[[[],[]],[]]]],[]]],[[],[]]]
[2,8,1,7,3,6,4,5]=>[7,1,8,2,6,3,5,4]=>[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[[[],[[],[[[],[[[],[]],[]]],[]]]],[[],[]]]
[7,5,1,8,6,2,3,4]=>[2,4,8,1,3,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[[[],[]],[[[],[]],[[[[[],[]],[]],[]],[]]]]
[7,4,8,6,1,5,2,3]=>[2,5,1,3,8,4,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[],[]],[[[],[[],[]]],[[[[],[]],[]],[]]]]
[7,1,8,4,5,2,6,3]=>[2,8,1,5,4,7,3,6]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[[[],[]],[[[[[],[]],[]],[[[],[]],[]]],[]]]
[1,6,7,3,8,5,2,4]=>[8,3,2,6,1,4,7,5]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[[[[[],[]],[]],[[[],[[],[]]],[[],[]]]],[]]
[7,3,8,6,2,5,1,4]=>[2,6,1,3,7,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[],[]],[[[],[[],[[],[]]]],[[],[[],[]]]]]
[6,8,1,7,2,3,4,5]=>[3,1,8,2,7,6,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[[[],[[],[]]],[[[[[[],[]],[]],[]],[]],[]]]
[1,5,7,8,2,6,3,4]=>[8,4,2,1,7,3,6,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[[[[[],[]],[[],[]]],[[[[],[]],[]],[]]],[]]
[2,4,7,3,6,8,5,1]=>[7,5,2,6,3,1,4,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[],[]],[[],[[],[]]]],[[],[]]],[[],[]]]
[2,5,4,1,3,7,8,6]=>[7,4,5,8,6,2,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[],[]],[[],[]]],[[],[[],[]]]],[[],[]]]
[3,1,5,4,7,8,2,6]=>[6,8,4,5,2,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[[],[]],[]]]
[5,3,1,4,8,2,6,7]=>[4,6,8,5,1,7,3,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[[[],[]],[]]],[[[],[]],[[[],[]],[]]]]
[5,2,4,8,6,1,3,7]=>[4,7,5,1,3,8,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[[[],[[[],[]],[]]],[[[],[[],[]]],[[],[]]]]
[4,8,2,3,5,7,1,6]=>[5,1,7,6,4,2,8,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[[[],[[[],[[],[]]],[]]],[[[],[]],[[],[]]]]
[1,4,7,8,3,6,2,5]=>[8,5,2,1,6,3,7,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[[[[[],[]],[[],[[],[]]]],[[],[[],[]]]],[]]
[5,4,3,8,1,2,7,6]=>[4,5,6,1,8,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[[[],[[],[[],[]]]],[[],[[],[[[],[]],[]]]]]
[6,4,3,1,2,8,5,7]=>[3,5,6,8,7,1,4,2]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[[],[]]],[[[],[]],[[],[[[],[]],[]]]]]
[6,4,2,8,1,3,7,5]=>[3,5,7,1,8,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[],[]]],[[[],[]],[[[],[]],[[],[]]]]]
[6,3,8,1,4,7,2,5]=>[3,6,1,8,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[[],[]]],[[[[],[]],[]],[[[],[]],[]]]]
[5,8,1,4,2,6,3,7]=>[4,1,8,5,7,3,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[[[],[[[],[]],[]]],[[[],[[[],[]],[]]],[]]]
[5,8,4,1,2,7,6,3]=>[4,1,5,8,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[[],[[],[]]]],[[],[[[[],[]],[]],[]]]]
[6,5,1,2,8,7,3,4]=>[3,4,8,7,1,2,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[],[[],[]]],[[],[[[[[],[]],[]],[]],[]]]]
[6,5,3,1,4,2,8,7]=>[3,4,6,8,5,7,1,2]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[[[],[[],[]]],[[],[[[],[]],[[[],[]],[]]]]]
[5,3,1,6,4,2,7,8]=>[4,6,8,3,5,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[],[]],[]],[]],[[[],[]],[[[],[]],[]]]]
[4,5,1,7,2,6,3,8]=>[5,4,8,2,7,3,6,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[],[]],[[],[]]],[]],[[[[],[]],[]],[]]]
[3,5,7,1,8,6,2,4]=>[6,4,2,8,1,3,7,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[[[[],[]],[[],[]]],[[],[]]],[[[],[]],[]]]
[3,6,2,7,5,1,8,4]=>[6,3,7,2,4,8,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[],[]],[]],[[],[[],[]]]],[[],[[],[]]]]
[4,3,1,5,7,2,6,8]=>[5,6,8,4,2,7,3,1]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[[[[[],[]],[[],[]]],[]],[[],[[[],[]],[]]]]
[3,4,5,8,2,7,1,6]=>[6,5,4,1,7,2,8,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[[[[[],[[],[[],[]]]],[]],[]],[[],[[],[]]]]
[3,5,2,6,8,1,7,4]=>[6,4,7,3,1,8,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[[],[]]],[]],[[],[]]],[[],[[],[]]]]
[4,3,1,2,5,6,8,7]=>[5,6,8,7,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[[[[[],[[],[]]],[]],[]],[[],[[[],[]],[]]]]
[5,3,6,8,4,7,2,1]=>[4,6,3,1,5,2,7,8]=>[[[.,[.,.]],.]