Identifier
Mp00072:
Permutations
—binary search tree: left to right⟶
Binary trees
Mp00015: Binary trees —to ordered tree: right child = right brother⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Mp00015: Binary trees —to ordered tree: right child = right brother⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Images
=>
Cc0010;cc-rep-1Cc0021;cc-rep-2Cc0021;cc-rep-3
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[2,5,4,1,3,6]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]=>[[],[[[]]],[[]]]
[2,5,4,1,6,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]=>[[],[[[]]],[[]]]
[2,5,4,3,1,6]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]=>[[],[[[]]],[[]]]
[2,5,4,3,6,1]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]=>[[],[[[]]],[[]]]
[2,5,4,6,1,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]=>[[],[[[]]],[[]]]
[2,5,4,6,3,1]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]=>[[],[[[]]],[[]]]
[2,5,6,1,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]=>[[],[[],[]],[[]]]
[2,5,6,1,4,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]=>[[],[[[]]],[[]]]
[2,5,6,3,1,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]=>[[],[[],[]],[[]]]
[2,5,6,3,4,1]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[]],[[],[]],[]]=>[[],[[],[]],[[]]]
[2,5,6,4,1,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]=>[[],[[[]]],[[]]]
[2,5,6,4,3,1]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[]],[[[]]],[]]=>[[],[[[]]],[[]]]
[2,6,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[[]],[[],[],[]]]=>[[[],[],[]],[[]]]
[2,6,1,3,5,4]=>[[.,.],[[.,[[.,.],.]],.]]=>[[[]],[[],[[]]]]=>[[[[]],[]],[[]]]
[2,6,1,4,3,5]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]=>[[[],[[]]],[[]]]
[2,6,1,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]=>[[[],[[]]],[[]]]
[2,6,1,5,3,4]=>[[.,.],[[[.,[.,.]],.],.]]=>[[[]],[[[],[]]]]=>[[[[],[]]],[[]]]
[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]=>[[[]],[[[[]]]]]=>[[[[[]]]],[[]]]
[2,6,3,1,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[[]],[[],[],[]]]=>[[[],[],[]],[[]]]
[2,6,3,1,5,4]=>[[.,.],[[.,[[.,.],.]],.]]=>[[[]],[[],[[]]]]=>[[[[]],[]],[[]]]
[2,6,3,4,1,5]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[[]],[[],[],[]]]=>[[[],[],[]],[[]]]
[2,6,3,4,5,1]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[[]],[[],[],[]]]=>[[[],[],[]],[[]]]
[2,6,3,5,1,4]=>[[.,.],[[.,[[.,.],.]],.]]=>[[[]],[[],[[]]]]=>[[[[]],[]],[[]]]
[2,6,3,5,4,1]=>[[.,.],[[.,[[.,.],.]],.]]=>[[[]],[[],[[]]]]=>[[[[]],[]],[[]]]
[2,6,4,1,3,5]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]=>[[[],[[]]],[[]]]
[2,6,4,1,5,3]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]=>[[[],[[]]],[[]]]
[2,6,4,3,1,5]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]=>[[[],[[]]],[[]]]
[2,6,4,3,5,1]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]=>[[[],[[]]],[[]]]
[2,6,4,5,1,3]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]=>[[[],[[]]],[[]]]
[2,6,4,5,3,1]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[]],[[[]],[]]]=>[[[],[[]]],[[]]]
[2,6,5,1,3,4]=>[[.,.],[[[.,[.,.]],.],.]]=>[[[]],[[[],[]]]]=>[[[[],[]]],[[]]]
[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]=>[[[]],[[[[]]]]]=>[[[[[]]]],[[]]]
[2,6,5,3,1,4]=>[[.,.],[[[.,[.,.]],.],.]]=>[[[]],[[[],[]]]]=>[[[[],[]]],[[]]]
[2,6,5,3,4,1]=>[[.,.],[[[.,[.,.]],.],.]]=>[[[]],[[[],[]]]]=>[[[[],[]]],[[]]]
[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]=>[[[]],[[[[]]]]]=>[[[[[]]]],[[]]]
[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]=>[[[]],[[[[]]]]]=>[[[[[]]]],[[]]]
[3,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]=>[[],[],[],[[],[]]]
[3,1,2,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]=>[[[]],[],[[],[]]]
[3,1,2,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,1,2,5,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,1,2,6,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]=>[[[],[]],[[],[]]]
[3,1,2,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]=>[[[[]]],[[],[]]]
[3,1,4,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]=>[[],[],[],[[],[]]]
[3,1,4,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]=>[[[]],[],[[],[]]]
[3,1,4,5,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]=>[[],[],[],[[],[]]]
[3,1,4,5,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]=>[[],[],[],[[],[]]]
[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]=>[[[]],[],[[],[]]]
[3,1,4,6,5,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]=>[[[]],[],[[],[]]]
[3,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,1,5,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,1,5,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,1,5,4,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,1,5,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,1,5,6,4,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,1,6,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]=>[[[],[]],[[],[]]]
[3,1,6,2,5,4]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]=>[[[[]]],[[],[]]]
[3,1,6,4,2,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]=>[[[],[]],[[],[]]]
[3,1,6,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]=>[[[],[]],[[],[]]]
[3,1,6,5,2,4]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]=>[[[[]]],[[],[]]]
[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]=>[[[[]]],[[],[]]]
[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]=>[[],[],[],[[[]]]]
[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]=>[[[]],[],[[[]]]]
[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,2,1,5,6,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,2,1,6,4,5]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]=>[[[],[]],[[[]]]]
[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]=>[[[[]]],[[[]]]]
[3,2,4,1,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]=>[[],[],[],[[[]]]]
[3,2,4,1,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]=>[[[]],[],[[[]]]]
[3,2,4,5,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]=>[[],[],[],[[[]]]]
[3,2,4,5,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]=>[[],[],[],[[[]]]]
[3,2,4,6,1,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]=>[[[]],[],[[[]]]]
[3,2,4,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]=>[[[]],[],[[[]]]]
[3,2,5,1,4,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,2,5,1,6,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,2,5,4,1,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,2,5,4,6,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,2,5,6,1,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,2,5,6,4,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,2,6,1,4,5]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]=>[[[],[]],[[[]]]]
[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]=>[[[[]]],[[[]]]]
[3,2,6,4,1,5]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]=>[[[],[]],[[[]]]]
[3,2,6,4,5,1]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]=>[[[],[]],[[[]]]]
[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]=>[[[[]]],[[[]]]]
[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]=>[[[[]]],[[[]]]]
[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]=>[[],[],[],[[],[]]]
[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]=>[[[]],[],[[],[]]]
[3,4,1,5,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]=>[[],[],[],[[],[]]]
[3,4,1,5,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]=>[[],[],[],[[],[]]]
[3,4,1,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]=>[[[]],[],[[],[]]]
[3,4,1,6,5,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]=>[[[]],[],[[],[]]]
[3,4,2,1,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]=>[[],[],[],[[[]]]]
[3,4,2,1,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]=>[[[]],[],[[[]]]]
[3,4,2,5,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]=>[[],[],[],[[[]]]]
[3,4,2,5,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]=>[[],[],[],[[[]]]]
[3,4,2,6,1,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]=>[[[]],[],[[[]]]]
[3,4,2,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]=>[[[]],[],[[[]]]]
[3,4,5,1,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]=>[[],[],[],[[],[]]]
[3,4,5,1,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]=>[[],[],[],[[],[]]]
[3,4,5,2,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]=>[[],[],[],[[[]]]]
[3,4,5,2,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]=>[[],[],[],[[[]]]]
[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[],[]],[],[],[]]=>[[],[],[],[[],[]]]
[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[]]],[],[],[]]=>[[],[],[],[[[]]]]
[3,4,6,1,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]=>[[[]],[],[[],[]]]
[3,4,6,1,5,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]=>[[[]],[],[[],[]]]
[3,4,6,2,1,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]=>[[[]],[],[[[]]]]
[3,4,6,2,5,1]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]=>[[[]],[],[[[]]]]
[3,4,6,5,1,2]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[],[]],[],[[]]]=>[[[]],[],[[],[]]]
[3,4,6,5,2,1]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[[]]],[],[[]]]=>[[[]],[],[[[]]]]
[3,5,1,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,5,1,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,5,1,4,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,5,1,6,4,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,5,2,1,4,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,5,2,1,6,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,5,2,4,1,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,5,2,4,6,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,5,2,6,1,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,5,2,6,4,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,5,4,1,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,5,4,1,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,5,4,2,1,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,5,4,2,6,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,5,4,6,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,5,4,6,2,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,5,6,1,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,5,6,1,4,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,5,6,2,1,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,5,6,2,4,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,5,6,4,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[],[]],[[]],[]]=>[[],[[]],[[],[]]]
[3,5,6,4,2,1]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[[]]],[[]],[]]=>[[],[[]],[[[]]]]
[3,6,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]=>[[[],[]],[[],[]]]
[3,6,1,2,5,4]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]=>[[[[]]],[[],[]]]
[3,6,1,4,2,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]=>[[[],[]],[[],[]]]
[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]=>[[[],[]],[[],[]]]
[3,6,1,5,2,4]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]=>[[[[]]],[[],[]]]
[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]=>[[[[]]],[[],[]]]
[3,6,2,1,4,5]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]=>[[[],[]],[[[]]]]
[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]=>[[[[]]],[[[]]]]
[3,6,2,4,1,5]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]=>[[[],[]],[[[]]]]
[3,6,2,4,5,1]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]=>[[[],[]],[[[]]]]
[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]=>[[[[]]],[[[]]]]
[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]=>[[[[]]],[[[]]]]
[3,6,4,1,2,5]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]=>[[[],[]],[[],[]]]
[3,6,4,1,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]=>[[[],[]],[[],[]]]
[3,6,4,2,1,5]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]=>[[[],[]],[[[]]]]
[3,6,4,2,5,1]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]=>[[[],[]],[[[]]]]
[3,6,4,5,1,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[[],[]],[[],[]]]=>[[[],[]],[[],[]]]
[3,6,4,5,2,1]=>[[[.,.],.],[[.,[.,.]],.]]=>[[[[]]],[[],[]]]=>[[[],[]],[[[]]]]
[3,6,5,1,2,4]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]=>[[[[]]],[[],[]]]
[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]=>[[[[]]],[[],[]]]
[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]=>[[[[]]],[[[]]]]
[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]=>[[[[]]],[[[]]]]
[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[[],[]],[[[]]]]=>[[[[]]],[[],[]]]
[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]=>[[[[]]],[[[]]]]=>[[[[]]],[[[]]]]
[4,1,2,3,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]=>[[],[],[[],[],[]]]
[4,1,2,3,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]=>[[[]],[[],[],[]]]
[4,1,2,5,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]=>[[],[],[[],[],[]]]
[4,1,2,5,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]=>[[],[],[[],[],[]]]
[4,1,2,6,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]=>[[[]],[[],[],[]]]
[4,1,2,6,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]=>[[[]],[[],[],[]]]
[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]=>[[],[],[[[]],[]]]
[4,1,3,2,6,5]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]=>[[[]],[[[]],[]]]
[4,1,3,5,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]=>[[],[],[[[]],[]]]
[4,1,3,5,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]=>[[],[],[[[]],[]]]
[4,1,3,6,2,5]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]=>[[[]],[[[]],[]]]
[4,1,3,6,5,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]=>[[[]],[[[]],[]]]
[4,1,5,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]=>[[],[],[[],[],[]]]
[4,1,5,2,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]=>[[],[],[[],[],[]]]
[4,1,5,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]=>[[],[],[[[]],[]]]
[4,1,5,3,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]=>[[],[],[[[]],[]]]
[4,1,5,6,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]=>[[],[],[[],[],[]]]
[4,1,5,6,3,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]=>[[],[],[[[]],[]]]
[4,1,6,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]=>[[[]],[[],[],[]]]
[4,1,6,2,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]=>[[[]],[[],[],[]]]
[4,1,6,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]=>[[[]],[[[]],[]]]
[4,1,6,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]=>[[[]],[[[]],[]]]
[4,1,6,5,2,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]=>[[[]],[[],[],[]]]
[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]=>[[[]],[[[]],[]]]
[4,2,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,2,1,3,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,2,1,5,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,2,1,5,6,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,2,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,2,3,5,1,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,2,3,5,6,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,2,3,6,1,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,2,3,6,5,1]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,2,5,1,6,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,2,5,3,1,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,2,5,3,6,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,2,5,6,1,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,2,5,6,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,2,6,1,3,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,2,6,3,1,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,2,6,3,5,1]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,3,1,2,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]=>[[],[],[[[],[]]]]
[4,3,1,2,6,5]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]=>[[[]],[[[],[]]]]
[4,3,1,5,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]=>[[],[],[[[],[]]]]
[4,3,1,5,6,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]=>[[],[],[[[],[]]]]
[4,3,1,6,2,5]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]=>[[[]],[[[],[]]]]
[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]=>[[[]],[[[],[]]]]
[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]=>[[],[],[[[[]]]]]
[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]=>[[[]],[[[[]]]]]
[4,3,2,5,1,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]=>[[],[],[[[[]]]]]
[4,3,2,5,6,1]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]=>[[],[],[[[[]]]]]
[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]=>[[[]],[[[[]]]]]
[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]=>[[[]],[[[[]]]]]
[4,3,5,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]=>[[],[],[[[],[]]]]
[4,3,5,1,6,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]=>[[],[],[[[],[]]]]
[4,3,5,2,1,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]=>[[],[],[[[[]]]]]
[4,3,5,2,6,1]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]=>[[],[],[[[[]]]]]
[4,3,5,6,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]=>[[],[],[[[],[]]]]
[4,3,5,6,2,1]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]=>[[],[],[[[[]]]]]
[4,3,6,1,2,5]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]=>[[[]],[[[],[]]]]
[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]=>[[[]],[[[],[]]]]
[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]=>[[[]],[[[[]]]]]
[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]=>[[[]],[[[[]]]]]
[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]=>[[[]],[[[],[]]]]
[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]=>[[[]],[[[[]]]]]
[4,5,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]=>[[],[],[[],[],[]]]
[4,5,1,2,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]=>[[],[],[[],[],[]]]
[4,5,1,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]=>[[],[],[[[]],[]]]
[4,5,1,3,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]=>[[],[],[[[]],[]]]
[4,5,1,6,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]=>[[],[],[[],[],[]]]
[4,5,1,6,3,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]=>[[],[],[[[]],[]]]
[4,5,2,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,5,2,1,6,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,5,2,3,1,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,5,2,3,6,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,5,2,6,1,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,5,2,6,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]=>[[],[],[[[],[]]]]
[4,5,3,1,6,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]=>[[],[],[[[],[]]]]
[4,5,3,2,1,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]=>[[],[],[[[[]]]]]
[4,5,3,2,6,1]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]=>[[],[],[[[[]]]]]
[4,5,3,6,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]=>[[],[],[[[],[]]]]
[4,5,3,6,2,1]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]=>[[],[],[[[[]]]]]
[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[],[],[]],[],[]]=>[[],[],[[],[],[]]]
[4,5,6,1,3,2]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[],[[]]],[],[]]=>[[],[],[[[]],[]]]
[4,5,6,2,1,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,5,6,2,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[[]],[]],[],[]]=>[[],[],[[],[[]]]]
[4,5,6,3,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[[],[]]],[],[]]=>[[],[],[[[],[]]]]
[4,5,6,3,2,1]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[[[]]]],[],[]]=>[[],[],[[[[]]]]]
[4,6,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]=>[[[]],[[],[],[]]]
[4,6,1,2,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]=>[[[]],[[],[],[]]]
[4,6,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]=>[[[]],[[[]],[]]]
[4,6,1,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]=>[[[]],[[[]],[]]]
[4,6,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]=>[[[]],[[],[],[]]]
[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]=>[[[]],[[[]],[]]]
[4,6,2,1,3,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,6,2,3,1,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,6,2,3,5,1]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,6,3,1,2,5]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]=>[[[]],[[[],[]]]]
[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]=>[[[]],[[[],[]]]]
[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]=>[[[]],[[[[]]]]]
[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]=>[[[]],[[[[]]]]]
[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]=>[[[]],[[[],[]]]]
[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]=>[[[]],[[[[]]]]]
[4,6,5,1,2,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[[],[],[]],[[]]]=>[[[]],[[],[],[]]]
[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[[],[[]]],[[]]]=>[[[]],[[[]],[]]]
[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]=>[[[[]],[]],[[]]]=>[[[]],[[],[[]]]]
[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[[[],[]]],[[]]]=>[[[]],[[[],[]]]]
[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]=>[[[[[]]]],[[]]]=>[[[]],[[[[]]]]]
[5,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[.,.]]=>[[[],[],[],[]],[]]=>[[],[[],[],[],[]]]
[5,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>[[[],[],[],[]],[]]=>[[],[[],[],[],[]]]
[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]=>[[[],[],[[]]],[]]=>[[],[[[]],[],[]]]
[5,1,2,4,6,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>[[[],[],[[]]],[]]=>[[],[[[]],[],[]]]
[5,1,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>[[[],[],[],[]],[]]=>[[],[[],[],[],[]]]
[5,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>[[[],[],[[]]],[]]=>[[],[[[]],[],[]]]
[5,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]=>[[],[[],[[]],[]]]
[5,1,3,2,6,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]=>[[],[[],[[]],[]]]
[5,1,3,4,2,6]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]=>[[],[[],[[]],[]]]
[5,1,3,4,6,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]=>[[],[[],[[]],[]]]
[5,1,3,6,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]=>[[],[[],[[]],[]]]
[5,1,3,6,4,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]=>[[],[[],[[]],[]]]
[5,1,4,2,3,6]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[[],[[],[]]],[]]=>[[],[[[],[]],[]]]
[5,1,4,2,6,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[[],[[],[]]],[]]=>[[],[[[],[]],[]]]
[5,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[.,.]]=>[[[],[[[]]]],[]]=>[[],[[[[]]],[]]]
[5,1,4,3,6,2]=>[[.,[[[.,.],.],.]],[.,.]]=>[[[],[[[]]]],[]]=>[[],[[[[]]],[]]]
[5,1,4,6,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[[],[[],[]]],[]]=>[[],[[[],[]],[]]]
[5,1,4,6,3,2]=>[[.,[[[.,.],.],.]],[.,.]]=>[[[],[[[]]]],[]]=>[[],[[[[]]],[]]]
[5,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>[[[],[],[],[]],[]]=>[[],[[],[],[],[]]]
[5,1,6,2,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>[[[],[],[[]]],[]]=>[[],[[[]],[],[]]]
[5,1,6,3,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]=>[[],[[],[[]],[]]]
[5,1,6,3,4,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]=>[[],[[],[[]],[]]]
[5,1,6,4,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[[],[[],[]]],[]]=>[[],[[[],[]],[]]]
[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]=>[[[],[[[]]]],[]]=>[[],[[[[]]],[]]]
[5,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]
[5,2,1,3,6,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]
[5,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]
[5,2,1,4,6,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]
[5,2,1,6,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]
[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]
[5,2,3,1,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]
[5,2,3,1,6,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]
[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]
[5,2,3,4,6,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]
[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]
[5,2,3,6,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]
[5,2,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]
[5,2,4,1,6,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]
[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]
[5,2,4,3,6,1]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]
[5,2,4,6,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]
[5,2,4,6,3,1]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]
[5,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]
[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]
[5,2,6,3,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]
[5,2,6,3,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]
[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]
[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]
[5,3,1,2,4,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]
[5,3,1,2,6,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]
[5,3,1,4,2,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]
[5,3,1,4,6,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]
[5,3,1,6,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]
[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]
[5,3,2,1,4,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]
[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]
[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]
[5,3,2,4,6,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]
[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]
[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]
[5,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]
[5,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]
[5,3,4,2,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]
[5,3,4,2,6,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]
[5,3,4,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]
[5,3,4,6,2,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]
[5,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]
[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]
[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]
[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]
[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]
[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]
[5,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[[[],[],[]]],[]]=>[[],[[[],[],[]]]]
[5,4,1,2,6,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[[[],[],[]]],[]]=>[[],[[[],[],[]]]]
[5,4,1,3,2,6]=>[[[.,[[.,.],.]],.],[.,.]]=>[[[[],[[]]]],[]]=>[[],[[[[]],[]]]]
[5,4,1,3,6,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[[[],[[]]]],[]]=>[[],[[[[]],[]]]]
[5,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[[[],[],[]]],[]]=>[[],[[[],[],[]]]]
[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[[[],[[]]]],[]]=>[[],[[[[]],[]]]]
[5,4,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]=>[[],[[[],[[]]]]]
[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]=>[[],[[[],[[]]]]]
[5,4,2,3,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]=>[[],[[[],[[]]]]]
[5,4,2,3,6,1]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]=>[[],[[[],[[]]]]]
[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]=>[[],[[[],[[]]]]]
[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]=>[[],[[[],[[]]]]]
[5,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[.,.]]=>[[[[[],[]]]],[]]=>[[],[[[[],[]]]]]
[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]=>[[[[[],[]]]],[]]=>[[],[[[[],[]]]]]
[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]=>[[[[[[]]]]],[]]=>[[],[[[[[]]]]]]
[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]=>[[[[[[]]]]],[]]=>[[],[[[[[]]]]]]
[5,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>[[[[[],[]]]],[]]=>[[],[[[[],[]]]]]
[5,4,3,6,2,1]=>[[[[[.,.],.],.],.],[.,.]]=>[[[[[[]]]]],[]]=>[[],[[[[[]]]]]]
[5,4,6,1,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[[[],[],[]]],[]]=>[[],[[[],[],[]]]]
[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[[[],[[]]]],[]]=>[[],[[[[]],[]]]]
[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]=>[[],[[[],[[]]]]]
[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]=>[[],[[[],[[]]]]]
[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>[[[[[],[]]]],[]]=>[[],[[[[],[]]]]]
[5,4,6,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]=>[[[[[[]]]]],[]]=>[[],[[[[[]]]]]]
[5,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>[[[],[],[],[]],[]]=>[[],[[],[],[],[]]]
[5,6,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>[[[],[],[[]]],[]]=>[[],[[[]],[],[]]]
[5,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]=>[[],[[],[[]],[]]]
[5,6,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[]],[]]=>[[],[[],[[]],[]]]
[5,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[[],[[],[]]],[]]=>[[],[[[],[]],[]]]
[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]=>[[[],[[[]]]],[]]=>[[],[[[[]]],[]]]
[5,6,2,1,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]
[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]
[5,6,2,3,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]
[5,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[[[]],[],[]],[]]=>[[],[[],[],[[]]]]
[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]
[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]=>[[[[]],[[]]],[]]=>[[],[[[]],[[]]]]
[5,6,3,1,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]
[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]
[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]
[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]
[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[[[],[]],[]],[]]=>[[],[[],[[],[]]]]
[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]=>[[[[[]]],[]],[]]=>[[],[[],[[[]]]]]
[5,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[[[],[],[]]],[]]=>[[],[[[],[],[]]]]
[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[[[],[[]]]],[]]=>[[],[[[[]],[]]]]
[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]=>[[],[[[],[[]]]]]
[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]=>[[[[[]],[]]],[]]=>[[],[[[],[[]]]]]
[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>[[[[[],[]]]],[]]=>[[],[[[[],[]]]]]
[5,6,4,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]=>[[[[[[]]]]],[]]=>[[],[[[[[]]]]]]
[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]=>[[[],[],[],[],[]]]=>[[[],[],[],[],[]]]
[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]=>[[[],[],[],[[]]]]=>[[[[]],[],[],[]]]
[6,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],.]=>[[[],[],[[]],[]]]=>[[[],[[]],[],[]]]
[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]=>[[[],[],[[]],[]]]=>[[[],[[]],[],[]]]
[6,1,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],.]=>[[[],[],[[],[]]]]=>[[[[],[]],[],[]]]
[6,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],.]=>[[[],[],[[[]]]]]=>[[[[[]]],[],[]]]
[6,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],.]=>[[[],[[]],[],[]]]=>[[[],[],[[]],[]]]
[6,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],.]=>[[[],[[]],[[]]]]=>[[[[]],[[]],[]]]
[6,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],.]=>[[[],[[]],[],[]]]=>[[[],[],[[]],[]]]
[6,1,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],.]=>[[[],[[]],[],[]]]=>[[[],[],[[]],[]]]
[6,1,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],.]=>[[[],[[]],[[]]]]=>[[[[]],[[]],[]]]
[6,1,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],.]=>[[[],[[]],[[]]]]=>[[[[]],[[]],[]]]
[6,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],.]=>[[[],[[],[]],[]]]=>[[[],[[],[]],[]]]
[6,1,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],.]=>[[[],[[],[]],[]]]=>[[[],[[],[]],[]]]
[6,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],.]=>[[[],[[[]]],[]]]=>[[[],[[[]]],[]]]
[6,1,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],.]=>[[[],[[[]]],[]]]=>[[[],[[[]]],[]]]
[6,1,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],.]=>[[[],[[],[]],[]]]=>[[[],[[],[]],[]]]
[6,1,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],.]=>[[[],[[[]]],[]]]=>[[[],[[[]]],[]]]
[6,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],.]=>[[[],[[],[],[]]]]=>[[[[],[],[]],[]]]
[6,1,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],.]=>[[[],[[],[[]]]]]=>[[[[[]],[]],[]]]
[6,1,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],.]=>[[[],[[[]],[]]]]=>[[[[],[[]]],[]]]
[6,1,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],.]=>[[[],[[[]],[]]]]=>[[[[],[[]]],[]]]
[6,1,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],.]=>[[[],[[[],[]]]]]=>[[[[[],[]]],[]]]
[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]=>[[[],[[[[]]]]]]=>[[[[[[]]]],[]]]
[6,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]=>[[[[]],[],[],[]]]=>[[[],[],[],[[]]]]
[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]=>[[[[]],[],[[]]]]=>[[[[]],[],[[]]]]
[6,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]=>[[[],[[]],[[]]]]
[6,2,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]=>[[[],[[]],[[]]]]
[6,2,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],.]=>[[[[]],[[],[]]]]=>[[[[],[]],[[]]]]
[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]=>[[[[]],[[[]]]]]=>[[[[[]]],[[]]]]
[6,2,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]=>[[[[]],[],[],[]]]=>[[[],[],[],[[]]]]
[6,2,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],.]=>[[[[]],[],[[]]]]=>[[[[]],[],[[]]]]
[6,2,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],.]=>[[[[]],[],[],[]]]=>[[[],[],[],[[]]]]
[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[[[[]],[],[],[]]]=>[[[],[],[],[[]]]]
[6,2,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],.]=>[[[[]],[],[[]]]]=>[[[[]],[],[[]]]]
[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[[[[]],[],[[]]]]=>[[[[]],[],[[]]]]
[6,2,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]=>[[[],[[]],[[]]]]
[6,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]=>[[[],[[]],[[]]]]
[6,2,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]=>[[[],[[]],[[]]]]
[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]=>[[[],[[]],[[]]]]
[6,2,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]=>[[[],[[]],[[]]]]
[6,2,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[[[[]],[[]],[]]]=>[[[],[[]],[[]]]]
[6,2,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],.]=>[[[[]],[[],[]]]]=>[[[[],[]],[[]]]]
[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]=>[[[[]],[[[]]]]]=>[[[[[]]],[[]]]]
[6,2,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],.]=>[[[[]],[[],[]]]]=>[[[[],[]],[[]]]]
[6,2,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[[[[]],[[],[]]]]=>[[[[],[]],[[]]]]
[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]=>[[[[]],[[[]]]]]=>[[[[[]]],[[]]]]
[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[[[[]],[[[]]]]]=>[[[[[]]],[[]]]]
[6,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],.]=>[[[[],[]],[],[]]]=>[[[],[],[[],[]]]]
[6,3,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],.]=>[[[[],[]],[[]]]]=>[[[[]],[[],[]]]]
[6,3,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],.]=>[[[[],[]],[],[]]]=>[[[],[],[[],[]]]]
[6,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],.]=>[[[[],[]],[],[]]]=>[[[],[],[[],[]]]]
[6,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],.]=>[[[[],[]],[[]]]]=>[[[[]],[[],[]]]]
[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]=>[[[[],[]],[[]]]]=>[[[[]],[[],[]]]]
[6,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],.]=>[[[[[]]],[],[]]]=>[[[],[],[[[]]]]]
[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]=>[[[[[]]],[[]]]]=>[[[[]],[[[]]]]]
[6,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],.]=>[[[[[]]],[],[]]]=>[[[],[],[[[]]]]]
[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[[[[[]]],[],[]]]=>[[[],[],[[[]]]]]
[6,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],.]=>[[[[[]]],[[]]]]=>[[[[]],[[[]]]]]
[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>[[[[[]]],[[]]]]=>[[[[]],[[[]]]]]
[6,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],.]=>[[[[],[]],[],[]]]=>[[[],[],[[],[]]]]
[6,3,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],.]=>[[[[],[]],[],[]]]=>[[[],[],[[],[]]]]
[6,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],.]=>[[[[[]]],[],[]]]=>[[[],[],[[[]]]]]
[6,3,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[[[[[]]],[],[]]]=>[[[],[],[[[]]]]]
[6,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],.]=>[[[[],[]],[],[]]]=>[[[],[],[[],[]]]]
[6,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[[[[[]]],[],[]]]=>[[[],[],[[[]]]]]
[6,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],.]=>[[[[],[]],[[]]]]=>[[[[]],[[],[]]]]
[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]=>[[[[],[]],[[]]]]=>[[[[]],[[],[]]]]
[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]=>[[[[[]]],[[]]]]=>[[[[]],[[[]]]]]
[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>[[[[[]]],[[]]]]=>[[[[]],[[[]]]]]
[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]=>[[[[],[]],[[]]]]=>[[[[]],[[],[]]]]
[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]=>[[[[[]]],[[]]]]=>[[[[]],[[[]]]]]
[6,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],.]=>[[[[],[],[]],[]]]=>[[[],[[],[],[]]]]
[6,4,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>[[[[],[],[]],[]]]=>[[[],[[],[],[]]]]
[6,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],.]=>[[[[],[[]]],[]]]=>[[[],[[[]],[]]]]
[6,4,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],.]=>[[[[],[[]]],[]]]=>[[[],[[[]],[]]]]
[6,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>[[[[],[],[]],[]]]=>[[[],[[],[],[]]]]
[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]=>[[[[],[[]]],[]]]=>[[[],[[[]],[]]]]
[6,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]=>[[[],[[],[[]]]]]
[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]=>[[[],[[],[[]]]]]
[6,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]=>[[[],[[],[[]]]]]
[6,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]=>[[[],[[],[[]]]]]
[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]=>[[[],[[],[[]]]]]
[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]=>[[[],[[],[[]]]]]
[6,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],.]=>[[[[[],[]]],[]]]=>[[[],[[[],[]]]]]
[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]=>[[[[[],[]]],[]]]=>[[[],[[[],[]]]]]
[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]=>[[[[[[]]]],[]]]=>[[[],[[[[]]]]]]
[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]=>[[[[[[]]]],[]]]=>[[[],[[[[]]]]]]
[6,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],.]=>[[[[[],[]]],[]]]=>[[[],[[[],[]]]]]
[6,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],.]=>[[[[[[]]]],[]]]=>[[[],[[[[]]]]]]
[6,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>[[[[],[],[]],[]]]=>[[[],[[],[],[]]]]
[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]=>[[[[],[[]]],[]]]=>[[[],[[[]],[]]]]
[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]=>[[[],[[],[[]]]]]
[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[[[[[]],[]],[]]]=>[[[],[[],[[]]]]]
[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]=>[[[[[],[]]],[]]]=>[[[],[[[],[]]]]]
[6,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],.]=>[[[[[[]]]],[]]]=>[[[],[[[[]]]]]]
[6,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],.]=>[[[[],[],[],[]]]]=>[[[[],[],[],[]]]]
[6,5,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],.]=>[[[[],[],[[]]]]]=>[[[[[]],[],[]]]]
[6,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],.]=>[[[[],[[]],[]]]]=>[[[[],[[]],[]]]]
[6,5,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],.]=>[[[[],[[]],[]]]]=>[[[[],[[]],[]]]]
[6,5,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],.]=>[[[[],[[],[]]]]]=>[[[[[],[]],[]]]]
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[6,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],.]=>[[[[[]],[],[]]]]=>[[[[],[],[[]]]]]
[6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]=>[[[[[]],[[]]]]]=>[[[[[]],[[]]]]]
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[6,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],.]=>[[[[[],[]],[]]]]=>[[[[],[[],[]]]]]
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[6,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],.]=>[[[[[],[]],[]]]]=>[[[[],[[],[]]]]]
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[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[[],[],[],[[],[]],[]]=>[[],[[],[]],[],[],[]]
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[1,2,4,7,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[[],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[]]
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[1,2,4,7,6,5,3]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>[[],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[]]
[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[[],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[]]
[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[[],[],[[],[]],[[]]]=>[[[]],[[],[]],[],[]]
[1,2,5,3,6,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[[],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[]]
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[1,2,5,7,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>[[],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[]]
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[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[[]],[[]],[],[],[]]=>[[],[],[],[[]],[[]]]
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[2,4,7,5,3,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]]]
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[2,5,1,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
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[2,5,3,1,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
[2,5,3,1,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
[2,5,3,1,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
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[2,5,3,4,1,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
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[2,5,3,6,1,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
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[2,5,4,6,7,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]
[2,5,4,7,1,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,4,7,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,4,7,3,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,4,7,3,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,4,7,6,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,4,7,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,6,1,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
[2,5,6,1,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]
[2,5,6,1,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]
[2,5,6,1,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
[2,5,6,1,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]
[2,5,6,3,1,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
[2,5,6,3,1,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
[2,5,6,3,4,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
[2,5,6,3,7,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
[2,5,6,3,7,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
[2,5,6,4,1,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]
[2,5,6,4,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]
[2,5,6,4,3,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]
[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]
[2,5,6,4,7,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]
[2,5,6,4,7,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]
[2,5,6,7,1,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
[2,5,6,7,1,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]
[2,5,6,7,3,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
[2,5,6,7,3,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]]]
[2,5,6,7,4,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]
[2,5,6,7,4,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]]]
[2,5,7,1,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
[2,5,7,1,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
[2,5,7,1,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,7,1,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,7,1,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
[2,5,7,1,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,7,3,1,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
[2,5,7,3,1,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
[2,5,7,3,4,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
[2,5,7,3,4,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
[2,5,7,3,6,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
[2,5,7,3,6,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
[2,5,7,4,1,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,7,4,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,7,4,3,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,7,4,3,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,7,4,6,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,7,4,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,7,6,1,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
[2,5,7,6,1,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,7,6,3,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
[2,5,7,6,3,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
[2,5,7,6,4,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,5,7,6,4,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]]]
[2,6,1,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,1,3,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,1,3,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,1,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,1,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,1,4,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,1,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,1,4,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,1,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,1,4,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,1,5,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,1,5,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,1,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,1,5,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,1,5,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,1,5,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,1,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,1,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,1,7,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,1,7,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,1,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,1,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,3,1,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,3,1,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,3,1,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,3,1,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,3,1,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,3,4,1,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,3,4,1,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,3,4,5,1,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,3,4,7,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,3,4,7,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,3,5,1,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,3,5,1,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,3,5,4,1,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,3,5,4,7,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,3,5,7,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,3,5,7,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,3,7,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,3,7,1,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,3,7,4,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,3,7,4,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,3,7,5,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,3,7,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,4,1,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,1,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,1,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,1,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,1,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,1,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,3,1,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,3,1,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,3,5,1,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,3,5,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,3,7,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,3,7,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,5,1,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,5,3,1,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,5,7,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,5,7,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,7,1,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,7,1,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,7,3,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,7,3,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,7,5,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,4,7,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,5,1,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,5,1,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,5,1,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,5,1,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,5,1,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,5,3,1,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,5,3,1,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,5,3,4,1,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,5,3,7,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,5,3,7,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,5,4,1,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,5,4,1,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,5,4,3,1,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,5,4,7,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,5,4,7,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,5,7,1,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,5,7,1,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,5,7,3,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,5,7,3,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,5,7,4,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,5,7,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,7,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,7,1,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,7,1,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,7,1,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,7,1,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,7,1,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,7,3,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,7,3,1,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,7,3,4,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,7,3,4,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]]]
[2,6,7,3,5,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,7,3,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>[[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]]]
[2,6,7,4,1,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,7,4,1,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,7,4,3,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,7,4,3,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,7,4,5,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,7,4,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[[]],[]],[]]=>[[],[[],[[]]],[[]]]
[2,6,7,5,1,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,7,5,1,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,7,5,3,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,7,5,3,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]]]
[2,6,7,5,4,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,6,7,5,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[]],[[[[]]]],[]]=>[[],[[[[]]]],[[]]]
[2,7,1,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]]]
[2,7,1,3,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[2,7,1,3,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[2,7,1,3,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[2,7,1,3,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[2,7,1,3,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[2,7,1,4,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[2,7,1,4,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[2,7,1,4,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[2,7,1,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[2,7,1,4,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[2,7,1,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[2,7,1,5,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[2,7,1,5,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[2,7,1,5,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[2,7,1,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[2,7,1,5,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[2,7,1,5,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[2,7,1,6,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[2,7,1,6,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[2,7,1,6,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[2,7,1,6,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[2,7,1,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[2,7,3,1,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]]]
[2,7,3,1,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[2,7,3,1,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[2,7,3,1,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[2,7,3,1,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[2,7,3,1,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[2,7,3,4,1,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]]]
[2,7,3,4,1,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[2,7,3,4,5,1,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]]]
[2,7,3,4,5,6,1]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]]]
[2,7,3,4,6,1,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[2,7,3,4,6,5,1]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[2,7,3,5,1,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[2,7,3,5,1,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[2,7,3,5,4,1,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[2,7,3,5,4,6,1]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[2,7,3,5,6,1,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[2,7,3,5,6,4,1]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[2,7,3,6,1,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[2,7,3,6,1,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[2,7,3,6,4,1,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[2,7,3,6,4,5,1]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[2,7,3,6,5,1,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[2,7,3,6,5,4,1]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[2,7,4,1,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[2,7,4,1,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[2,7,4,1,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[2,7,4,1,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[2,7,4,1,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[2,7,4,1,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[2,7,4,3,1,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[2,7,4,3,1,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[2,7,4,3,5,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[2,7,4,3,5,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[2,7,4,3,6,1,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[2,7,4,3,6,5,1]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[2,7,4,5,1,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[2,7,4,5,1,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[2,7,4,5,3,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[2,7,4,5,3,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[2,7,4,5,6,1,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[2,7,4,5,6,3,1]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[2,7,4,6,1,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[2,7,4,6,1,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[2,7,4,6,3,1,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[2,7,4,6,3,5,1]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[2,7,4,6,5,1,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[2,7,4,6,5,3,1]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[2,7,5,1,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[2,7,5,1,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[2,7,5,1,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[2,7,5,1,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[2,7,5,1,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[2,7,5,1,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[2,7,5,3,1,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[2,7,5,3,1,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[2,7,5,3,4,1,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[2,7,5,3,4,6,1]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[2,7,5,3,6,1,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[2,7,5,3,6,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[2,7,5,4,1,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[2,7,5,4,1,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[2,7,5,4,3,1,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[2,7,5,4,3,6,1]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[2,7,5,4,6,1,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[2,7,5,4,6,3,1]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[2,7,5,6,1,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[2,7,5,6,1,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[2,7,5,6,3,1,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[2,7,5,6,3,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[2,7,5,6,4,1,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[2,7,5,6,4,3,1]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[2,7,6,1,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[2,7,6,1,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[2,7,6,1,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[2,7,6,1,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[2,7,6,1,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[2,7,6,3,1,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[2,7,6,3,1,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[2,7,6,3,4,1,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[2,7,6,3,4,5,1]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[2,7,6,3,5,1,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[2,7,6,3,5,4,1]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[2,7,6,4,1,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[2,7,6,4,1,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[2,7,6,4,3,1,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[2,7,6,4,3,5,1]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[2,7,6,4,5,1,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[2,7,6,4,5,3,1]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[2,7,6,5,1,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[2,7,6,5,3,1,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
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[3,1,2,4,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]]]
[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]]]
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[3,1,2,5,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
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[3,1,2,7,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]
[3,1,2,7,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[3,1,2,7,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
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[3,1,2,7,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
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[3,1,4,6,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]]]
[3,1,4,6,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]]]
[3,1,4,6,5,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]]]
[3,1,4,6,5,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]]]
[3,1,4,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]]]
[3,1,4,6,7,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]]]
[3,1,4,7,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]]]
[3,1,4,7,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]=>[[[[]]],[],[[],[]]]
[3,1,4,7,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]]]
[3,1,4,7,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]]]
[3,1,4,7,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]=>[[[[]]],[],[[],[]]]
[3,1,4,7,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]=>[[[[]]],[],[[],[]]]
[3,1,5,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,1,5,2,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,1,5,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,1,5,2,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,1,5,2,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,1,5,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,1,5,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,1,5,4,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,1,5,4,6,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
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[3,1,5,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,1,5,6,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,1,5,6,4,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,1,5,6,4,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,1,5,6,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,1,5,6,7,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,1,5,7,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
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[3,1,5,7,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
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[3,1,6,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,1,6,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,1,6,2,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
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[3,1,6,4,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
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[3,1,6,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
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[3,1,6,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,1,6,4,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
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[3,1,6,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,1,6,5,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
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[3,1,6,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,1,6,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,1,6,7,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,1,6,7,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,1,6,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
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[3,1,7,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]
[3,1,7,2,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
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[3,1,7,2,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
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[3,1,7,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
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[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]]]
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[3,2,5,6,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]
[3,2,5,6,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]
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[3,2,5,6,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]
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[3,2,5,7,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,2,5,7,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
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[3,2,5,7,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
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[3,2,5,7,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,2,6,1,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,2,6,1,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,2,6,1,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,2,6,1,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,2,6,1,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,2,6,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,2,6,4,1,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,2,6,4,1,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,2,6,4,5,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,2,6,4,5,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,2,6,4,7,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,2,6,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,2,6,5,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
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[3,2,7,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[3,2,7,1,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]
[3,2,7,1,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
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[3,2,7,1,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]
[3,2,7,4,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[3,2,7,4,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]
[3,2,7,4,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[3,2,7,4,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[3,2,7,4,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]
[3,2,7,4,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]
[3,2,7,5,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
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[3,2,7,5,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,2,7,6,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]
[3,2,7,6,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
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[3,4,6,7,5,1,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]]]
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[3,4,7,1,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]]]
[3,4,7,1,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]=>[[[[]]],[],[[],[]]]
[3,4,7,1,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]]]
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[3,4,7,2,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]]]
[3,4,7,2,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]=>[[[],[]],[],[[[]]]]
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[3,4,7,2,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]]]
[3,4,7,2,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]]]
[3,4,7,5,1,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]]]
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[3,4,7,5,2,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[[[]]],[],[[],[]]]=>[[[],[]],[],[[[]]]]
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[3,4,7,6,1,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[],[]],[],[[[]]]]=>[[[[]]],[],[[],[]]]
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[3,5,2,1,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]
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[3,5,4,7,2,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,5,4,7,6,1,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,5,4,7,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,5,6,1,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,5,6,1,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,5,6,1,4,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,5,6,1,4,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,5,6,1,7,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,5,6,2,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]
[3,5,6,2,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]
[3,5,6,2,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]
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[3,5,6,2,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]
[3,5,6,2,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]
[3,5,6,4,1,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,5,6,4,1,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,5,6,4,2,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]
[3,5,6,4,2,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]
[3,5,6,4,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,5,6,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]
[3,5,6,7,1,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,5,6,7,1,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,5,6,7,2,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]
[3,5,6,7,2,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]
[3,5,6,7,4,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]]]
[3,5,6,7,4,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]]]
[3,5,7,1,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,5,7,1,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,5,7,1,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,5,7,1,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,5,7,1,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,5,7,1,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,5,7,2,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,5,7,2,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,5,7,2,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,5,7,2,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,5,7,2,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,5,7,2,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,5,7,4,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,5,7,4,1,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,5,7,4,2,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,5,7,4,2,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,5,7,4,6,1,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,5,7,4,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,5,7,6,1,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,5,7,6,1,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,5,7,6,2,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,5,7,6,2,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,5,7,6,4,1,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[3,5,7,6,4,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[3,6,1,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,1,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,1,2,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,1,2,5,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,1,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,1,4,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,1,4,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,1,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,1,4,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,1,4,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,1,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,1,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,1,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,1,5,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,1,5,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,1,5,7,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,1,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,1,7,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,1,7,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,1,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,1,7,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,2,1,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,2,1,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,2,1,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,2,1,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,2,1,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,2,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,2,4,1,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,2,4,1,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,2,4,5,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,2,4,5,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,2,4,7,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,2,5,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,2,5,1,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,2,5,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,2,5,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,2,5,7,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
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[3,6,2,7,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,2,7,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,2,7,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,2,7,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,2,7,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,2,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,4,1,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,4,1,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,4,1,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,4,1,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,4,1,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,4,1,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,4,2,1,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,4,2,1,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,4,2,5,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,4,2,5,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,4,2,7,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,4,2,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,4,5,1,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
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[3,6,4,5,2,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
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[3,6,4,7,1,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
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[3,6,4,7,2,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,4,7,2,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
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[3,6,5,1,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
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[3,6,5,1,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
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[3,6,5,2,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,5,2,7,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,5,2,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,5,4,1,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
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[3,6,5,7,1,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,5,7,2,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,5,7,2,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,5,7,4,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,5,7,4,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,7,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,7,1,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,7,1,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,7,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,7,1,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,7,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,7,2,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,7,2,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,7,2,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,7,2,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,7,2,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,7,2,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,7,4,1,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,7,4,1,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,7,4,2,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,7,4,2,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,7,4,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]]]
[3,6,7,4,5,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]]]
[3,6,7,5,1,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,7,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,7,5,2,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,7,5,2,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,6,7,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[[]]],[]]=>[[],[[[]]],[[],[]]]
[3,6,7,5,4,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]]]
[3,7,1,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]
[3,7,1,2,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[3,7,1,2,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,1,2,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,1,2,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[3,7,1,2,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
[3,7,1,4,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]
[3,7,1,4,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[3,7,1,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]
[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]
[3,7,1,4,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[3,7,1,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[3,7,1,5,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,1,5,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,1,5,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,1,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,1,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,1,5,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,1,6,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[3,7,1,6,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
[3,7,1,6,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[3,7,1,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
[3,7,2,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[3,7,2,1,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]
[3,7,2,1,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,2,1,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,2,1,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]
[3,7,2,4,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[3,7,2,4,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]
[3,7,2,4,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[3,7,2,4,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[3,7,2,4,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]
[3,7,2,4,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]
[3,7,2,5,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,2,5,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,2,5,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,2,5,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,2,5,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,2,5,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,2,6,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]
[3,7,2,6,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
[3,7,2,6,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]
[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]
[3,7,4,1,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]
[3,7,4,1,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[3,7,4,1,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]
[3,7,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]
[3,7,4,1,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[3,7,4,1,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[3,7,4,2,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[3,7,4,2,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]
[3,7,4,2,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[3,7,4,2,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[3,7,4,2,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]
[3,7,4,2,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]
[3,7,4,5,1,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]
[3,7,4,5,1,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]
[3,7,4,5,2,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[3,7,4,5,2,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[3,7,4,5,6,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]
[3,7,4,5,6,2,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[3,7,4,6,1,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[3,7,4,6,1,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[3,7,4,6,2,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]
[3,7,4,6,2,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]
[3,7,4,6,5,1,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[3,7,4,6,5,2,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]]]
[3,7,5,1,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,5,1,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,5,1,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,5,1,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,5,1,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,5,2,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,5,2,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,5,2,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,5,2,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,5,2,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,5,2,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,5,4,1,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,5,4,1,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,5,4,2,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,5,4,2,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,5,4,6,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,5,4,6,2,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,5,6,1,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,5,6,1,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,5,6,2,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,5,6,2,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,5,6,4,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[3,7,5,6,4,2,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
[3,7,6,1,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[3,7,6,1,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
[3,7,6,1,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[3,7,6,1,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[3,7,6,1,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
[3,7,6,2,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]
[3,7,6,2,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
[3,7,6,2,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]
[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]
[3,7,6,4,1,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[3,7,6,4,1,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[3,7,6,4,2,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
[3,7,6,4,2,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
[3,7,6,4,5,1,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[3,7,6,4,5,2,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
[3,7,6,5,1,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
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[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]
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[4,2,1,7,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,1,7,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,1,7,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,3,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,3,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,3,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,3,1,6,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,3,1,7,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,3,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,3,5,1,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,3,5,1,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,3,5,6,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,3,5,6,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,3,5,7,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,3,5,7,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,3,6,1,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,3,6,1,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,3,6,5,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,3,6,5,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,3,6,7,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,3,6,7,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,3,7,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,3,7,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,3,7,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,3,7,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,3,7,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,3,7,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,5,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,5,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,5,1,6,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,5,1,6,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,5,1,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,5,1,7,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,5,3,1,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,5,3,1,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,5,3,6,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,5,3,6,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,5,3,7,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,5,3,7,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,5,6,1,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,5,6,1,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,5,6,3,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,5,6,3,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,5,6,7,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,5,6,7,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,2,5,7,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,5,7,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,5,7,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,5,7,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,5,7,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,1,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,1,5,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,3,1,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,3,1,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,3,5,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,3,5,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,3,7,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,3,7,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,5,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,5,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,5,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,5,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,5,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,5,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,7,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,7,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,7,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,6,7,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,2,7,1,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,7,1,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,7,1,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,7,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,7,1,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,7,3,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,7,3,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,7,3,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,7,3,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,7,3,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,7,3,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,7,5,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,7,5,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,7,5,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,7,5,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,7,5,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,7,5,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,2,7,6,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,7,6,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,7,6,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,3,1,2,5,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]
[4,3,1,2,5,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
[4,3,1,2,6,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,1,2,6,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,1,2,7,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,3,1,2,7,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,3,1,5,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]
[4,3,1,5,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
[4,3,1,5,6,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]
[4,3,1,5,6,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]
[4,3,1,5,7,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
[4,3,1,5,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
[4,3,1,6,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,1,6,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,1,6,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,1,6,5,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,1,6,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,1,6,7,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,1,7,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,3,1,7,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,3,1,7,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,3,1,7,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,3,1,7,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]]]
[4,3,2,1,5,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]
[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,2,1,6,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,3,2,5,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]]]
[4,3,2,5,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]
[4,3,2,5,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]]]
[4,3,2,5,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]]]
[4,3,2,5,7,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]
[4,3,2,5,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]
[4,3,2,6,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,2,6,1,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,2,6,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,2,6,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,2,6,7,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,2,6,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,2,7,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,3,2,7,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,3,2,7,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,3,2,7,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,3,2,7,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,3,5,1,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]
[4,3,5,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
[4,3,5,1,6,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]
[4,3,5,1,6,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]
[4,3,5,1,7,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
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[4,3,5,7,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
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[4,3,5,7,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]
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[4,3,5,7,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
[4,3,5,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]
[4,3,6,1,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,6,1,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,6,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,6,1,5,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,6,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,6,1,7,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,6,2,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,6,2,1,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
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[4,3,6,2,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,6,2,7,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,6,2,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,6,5,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,6,5,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,6,5,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,6,5,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,6,5,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,6,5,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,6,7,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,6,7,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,6,7,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,6,7,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,6,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,3,6,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,3,7,1,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,3,7,1,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,3,7,1,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,3,7,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,3,7,1,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,3,7,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,3,7,2,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,3,7,2,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,3,7,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,3,7,5,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,3,7,5,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,3,7,5,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,3,7,5,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,3,7,5,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,3,7,5,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,3,7,6,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,3,7,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,5,1,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]]]
[4,5,1,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]]]
[4,5,1,2,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]]]
[4,5,1,2,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]]]
[4,5,1,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]]]
[4,5,1,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]]]
[4,5,1,3,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]]]
[4,5,1,3,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]]]
[4,5,1,3,6,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]]]
[4,5,1,3,6,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]]]
[4,5,1,3,7,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]]]
[4,5,1,3,7,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]]]
[4,5,1,6,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]]]
[4,5,1,6,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]]]
[4,5,1,6,3,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]]]
[4,5,1,6,3,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]]]
[4,5,1,6,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]]]
[4,5,1,6,7,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]]]
[4,5,1,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]]]
[4,5,1,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]]]
[4,5,1,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]]]
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[4,5,1,7,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]]]
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[4,5,2,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,2,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,2,1,6,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,2,1,6,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,2,1,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,2,1,7,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,2,3,1,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,2,3,1,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,2,3,6,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,2,3,6,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,2,3,7,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,2,3,7,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,2,6,1,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,2,6,1,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,2,6,3,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,2,6,3,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,2,6,7,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,2,6,7,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,2,7,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,2,7,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,2,7,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,2,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,2,7,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,2,7,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,3,1,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]
[4,5,3,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
[4,5,3,1,6,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]
[4,5,3,1,6,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]
[4,5,3,1,7,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
[4,5,3,1,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
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[4,5,3,6,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]
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[4,5,3,7,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
[4,5,3,7,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
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[4,5,3,7,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
[4,5,3,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]
[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]]]
[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]]]
[4,5,6,1,3,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]]]
[4,5,6,1,3,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]]]
[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]]]
[4,5,6,1,7,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]]]
[4,5,6,2,1,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,6,2,1,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,6,2,3,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,6,2,3,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,6,2,7,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,6,2,7,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,6,3,1,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]
[4,5,6,3,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]
[4,5,6,3,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]]]
[4,5,6,3,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]]]
[4,5,6,3,7,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]
[4,5,6,3,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]]]
[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[],[],[]],[],[],[]]=>[[],[],[],[[],[],[]]]
[4,5,6,7,1,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]]]
[4,5,6,7,2,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,6,7,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]]]
[4,5,6,7,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[[],[]]],[],[],[]]=>[[],[],[],[[[],[]]]]
[4,5,6,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[[[[]]]],[],[],[]]=>[[],[],[],[[[[]]]]]
[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]]]
[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]]]
[4,5,7,1,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]]]
[4,5,7,1,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]]]
[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]]]
[4,5,7,1,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]]]
[4,5,7,2,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,7,2,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,7,2,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,7,2,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,7,2,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,7,2,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,7,3,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
[4,5,7,3,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
[4,5,7,3,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]
[4,5,7,3,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]
[4,5,7,3,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
[4,5,7,3,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]
[4,5,7,6,1,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]]]
[4,5,7,6,1,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]]]
[4,5,7,6,2,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,7,6,2,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[4,5,7,6,3,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
[4,5,7,6,3,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]
[4,6,1,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,1,2,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,1,2,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,1,2,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,1,2,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,1,2,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,1,3,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,1,3,2,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,1,3,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,1,3,5,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,1,3,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,1,3,7,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,1,5,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,1,5,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,1,5,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,1,5,3,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,1,5,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,1,5,7,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,1,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,1,7,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,1,7,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,1,7,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,2,1,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,1,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,1,5,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,3,1,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,3,1,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,3,5,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,3,5,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,3,7,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,3,7,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,5,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,5,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,5,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,5,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,5,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,5,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,7,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,7,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,7,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,2,7,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,3,1,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,3,1,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,3,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,3,1,5,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,3,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,3,1,7,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,3,2,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,3,2,1,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,3,2,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,3,2,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,3,2,7,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,3,2,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,3,5,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,3,5,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,3,5,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,3,5,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,3,5,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,3,5,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,3,7,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,3,7,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,3,7,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,3,7,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,3,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,3,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,5,1,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,5,1,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,5,1,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,5,1,3,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,5,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,5,1,7,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,5,2,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,5,2,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,5,2,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,5,2,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,5,2,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,5,2,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,5,3,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,5,3,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,5,3,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,5,3,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,5,3,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,5,3,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,5,7,1,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,5,7,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,5,7,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,5,7,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,5,7,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,7,1,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,7,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,7,1,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,7,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,7,2,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,7,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,7,2,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,7,2,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,7,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,7,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,7,3,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,7,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,7,3,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,7,3,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,7,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,7,3,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,6,7,5,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[[[],[],[]],[[]],[]]=>[[],[[]],[[],[],[]]]
[4,6,7,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]]]
[4,6,7,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,7,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]]]
[4,6,7,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>[[[[],[]]],[[]],[]]=>[[],[[]],[[[],[]]]]
[4,6,7,5,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[[[]]]],[[]],[]]=>[[],[[]],[[[[]]]]]
[4,7,1,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]]]
[4,7,1,2,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]
[4,7,1,2,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]]]
[4,7,1,2,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]]]
[4,7,1,2,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]
[4,7,1,2,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]
[4,7,1,3,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]
[4,7,1,3,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]]]
[4,7,1,3,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]
[4,7,1,3,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]
[4,7,1,3,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]]]
[4,7,1,3,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]]]
[4,7,1,5,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]]]
[4,7,1,5,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]]]
[4,7,1,5,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]
[4,7,1,5,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]
[4,7,1,5,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]]]
[4,7,1,5,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]
[4,7,1,6,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]
[4,7,1,6,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]
[4,7,1,6,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]]]
[4,7,1,6,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]]]
[4,7,1,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]
[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]]]
[4,7,2,1,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,2,1,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,2,1,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,2,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,2,1,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,2,3,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,2,3,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,2,3,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,2,3,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,2,3,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,2,3,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,2,5,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,2,5,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,2,5,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,2,5,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,2,5,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,2,6,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,2,6,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,2,6,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,3,1,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,7,3,1,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,7,3,1,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,7,3,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,7,3,1,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,7,3,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,7,3,2,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,7,3,2,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,7,3,5,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,7,3,5,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,7,3,5,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,7,3,5,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,7,3,5,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,7,3,5,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,7,3,6,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,7,5,1,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]]]
[4,7,5,1,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]]]
[4,7,5,1,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]
[4,7,5,1,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]
[4,7,5,1,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]]]
[4,7,5,1,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]
[4,7,5,2,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,5,2,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,5,2,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,5,2,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,5,2,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,5,2,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,5,3,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,7,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,7,5,3,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,7,5,3,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,7,5,3,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,7,5,3,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,7,5,6,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]]]
[4,7,5,6,1,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]]]
[4,7,5,6,2,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,5,6,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]]]
[4,7,5,6,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>[[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]]]
[4,7,5,6,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>[[[[[]]]],[[],[]]]=>[[[],[]],[[[[]]]]]
[4,7,6,1,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]
[4,7,6,1,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]
[4,7,6,1,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]]]
[4,7,6,1,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]]]
[4,7,6,1,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]
[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]]]
[4,7,6,2,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,6,2,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,6,2,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,6,3,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,7,6,3,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,7,6,3,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,7,6,3,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[4,7,6,5,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[],[],[]],[[[]]]]=>[[[[]]],[[],[],[]]]
[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]]]
[4,7,6,5,2,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,6,5,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]]]
[4,7,6,5,3,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>[[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]]]
[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
[5,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]]]
[5,1,2,3,4,7,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]=>[[[]],[[],[],[],[]]]
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[5,1,3,2,4,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
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[5,1,3,2,7,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,1,3,2,7,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,1,3,4,2,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,1,3,4,2,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,1,3,4,6,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,1,3,4,6,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,1,3,4,7,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,1,3,4,7,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,1,3,6,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,1,3,6,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,1,3,6,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,1,3,6,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,1,3,6,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,1,3,6,7,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,1,3,7,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,1,3,7,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,1,3,7,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,1,3,7,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,1,3,7,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,1,3,7,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,1,4,2,3,6,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]
[5,1,4,2,3,7,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]
[5,1,4,2,6,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]
[5,1,4,2,6,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]
[5,1,4,2,7,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]
[5,1,4,2,7,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]
[5,1,4,3,2,6,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]
[5,1,4,3,2,7,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]
[5,1,4,3,6,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]
[5,1,4,3,6,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]
[5,1,4,3,7,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]
[5,1,4,3,7,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]
[5,1,4,6,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]
[5,1,4,6,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]
[5,1,4,6,3,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]
[5,1,4,6,3,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]
[5,1,4,6,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]
[5,1,4,6,7,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]
[5,1,4,7,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]
[5,1,4,7,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]
[5,1,4,7,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]
[5,1,4,7,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]
[5,1,4,7,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]
[5,1,4,7,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]
[5,1,6,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]]]
[5,1,6,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]]]
[5,1,6,2,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]]]
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[5,1,6,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]]]
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[5,1,6,3,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,1,6,3,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,1,6,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
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[5,1,6,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]
[5,1,6,4,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]
[5,1,6,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]
[5,1,6,4,3,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]
[5,1,6,4,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]
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[5,1,6,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]]]
[5,1,6,7,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]]]
[5,1,6,7,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,1,6,7,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,1,6,7,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]
[5,1,6,7,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]
[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]=>[[[]],[[],[],[],[]]]
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[5,1,7,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]=>[[[]],[[[]],[],[]]]
[5,1,7,2,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]=>[[[]],[[[]],[],[]]]
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[5,1,7,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]
[5,1,7,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]
[5,1,7,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]
[5,1,7,4,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]
[5,1,7,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]
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[5,1,7,6,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]
[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]
[5,2,1,3,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,1,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,1,3,6,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,1,3,6,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,1,3,7,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,1,3,7,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,1,4,3,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,1,4,3,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,1,4,6,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,1,4,6,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,1,4,7,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,1,4,7,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,1,6,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,1,6,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,1,6,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,1,6,4,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,1,6,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,1,6,7,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,1,7,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,1,7,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,1,7,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,1,7,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,1,7,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,3,1,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,3,1,4,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,3,1,6,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,3,1,6,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,3,1,7,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,3,1,7,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,3,4,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,3,4,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,3,4,6,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,3,4,7,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,3,6,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,3,6,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,3,6,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,3,6,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,3,6,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,3,6,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,3,7,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,3,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,3,7,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,3,7,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,3,7,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,3,7,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,4,1,3,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,4,1,3,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,4,1,6,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,4,1,6,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,4,1,7,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,4,1,7,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,4,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,4,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,4,3,6,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,4,3,7,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,4,3,7,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,4,6,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,4,6,1,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,4,6,3,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,4,6,3,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,4,6,7,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,4,6,7,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,4,7,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,4,7,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,4,7,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,4,7,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,4,7,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,4,7,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,6,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,6,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,6,1,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,6,1,4,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,6,1,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,6,1,7,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,6,3,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,6,3,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,6,3,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,6,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,6,3,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,6,3,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,6,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,6,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,6,4,3,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,6,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,6,4,7,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,6,4,7,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,6,7,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,6,7,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,6,7,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,2,6,7,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,6,7,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,2,7,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,7,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,7,1,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,7,1,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,7,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,7,3,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,7,3,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,7,3,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,7,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,7,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,7,3,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,7,4,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,7,4,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,7,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,7,4,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,7,4,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,7,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,7,6,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,7,6,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,3,1,2,4,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,1,2,4,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,1,2,6,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,1,2,6,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,1,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,1,2,7,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,1,4,2,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,1,4,2,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,1,4,6,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,1,4,6,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,1,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,1,4,7,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,1,6,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,1,6,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,1,6,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,1,6,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,1,6,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,1,6,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,1,7,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,1,7,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,1,7,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,1,7,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,1,7,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,2,1,4,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,2,1,4,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,2,1,6,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,2,1,6,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,2,1,7,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,2,4,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,2,4,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,2,4,6,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,2,4,7,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,2,4,7,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,2,6,4,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,2,6,4,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,2,6,7,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,2,6,7,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,2,7,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,2,7,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,4,1,2,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,4,1,2,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,4,1,6,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,4,1,6,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,4,1,7,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,4,1,7,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,4,2,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,4,2,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,4,2,6,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,4,2,6,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,4,2,7,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,4,2,7,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,4,6,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,4,6,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,4,6,2,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,4,6,2,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,4,6,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,4,6,7,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,4,7,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,4,7,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,4,7,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,4,7,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,4,7,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,4,7,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,6,1,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,6,1,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,6,1,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,6,1,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,6,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,6,1,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,6,2,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,6,2,1,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,6,2,4,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,6,2,4,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,6,2,7,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,6,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,6,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,6,4,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,6,4,2,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,6,4,2,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,6,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,6,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,6,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,6,7,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,6,7,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,6,7,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,6,7,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,3,6,7,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,3,7,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,7,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,7,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,7,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,7,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,7,2,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,7,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,7,2,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,7,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,7,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,7,4,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,7,4,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,7,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,7,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,7,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,3,7,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,4,1,2,3,6,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]
[5,4,1,2,3,7,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]
[5,4,1,2,6,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]
[5,4,1,2,6,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]
[5,4,1,2,7,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]
[5,4,1,2,7,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]
[5,4,1,3,2,6,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]
[5,4,1,3,2,7,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]
[5,4,1,3,6,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]
[5,4,1,3,6,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]
[5,4,1,3,7,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]
[5,4,1,3,7,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]
[5,4,1,6,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]
[5,4,1,6,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]
[5,4,1,6,3,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]
[5,4,1,6,3,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]
[5,4,1,6,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]
[5,4,1,6,7,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]
[5,4,1,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]
[5,4,1,7,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]
[5,4,1,7,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]
[5,4,1,7,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]
[5,4,1,7,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]
[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]
[5,4,2,1,3,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,4,2,1,3,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,2,1,6,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,4,2,1,6,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,4,2,1,7,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,2,3,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,4,2,3,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,2,3,6,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
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[5,4,2,3,7,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,2,3,7,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,2,6,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,4,2,6,1,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,4,2,6,3,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
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[5,4,2,7,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,2,7,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,2,7,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,2,7,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
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[5,4,3,7,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]
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[5,4,3,7,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]]]
[5,4,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]
[5,4,3,7,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]]]
[5,4,6,1,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]
[5,4,6,1,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]
[5,4,6,1,3,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]
[5,4,6,1,3,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]
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[5,4,6,1,7,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]
[5,4,6,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,4,6,2,1,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,4,6,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,4,6,2,7,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,4,6,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]]]
[5,4,6,3,1,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]]]
[5,4,6,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]]]
[5,4,6,3,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]]]
[5,4,6,3,7,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]]]
[5,4,6,3,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]]]
[5,4,6,7,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]
[5,4,6,7,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]
[5,4,6,7,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,4,6,7,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,4,6,7,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]]]
[5,4,6,7,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]]]
[5,4,7,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]
[5,4,7,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]
[5,4,7,1,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]
[5,4,7,1,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]
[5,4,7,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]
[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]
[5,4,7,2,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,7,2,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,7,2,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,7,3,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]
[5,4,7,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]
[5,4,7,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]]]
[5,4,7,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]]]
[5,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]
[5,4,7,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]]]
[5,4,7,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]
[5,4,7,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]
[5,4,7,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,7,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,4,7,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]
[5,4,7,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]]]
[5,6,1,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]]]
[5,6,1,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]]]
[5,6,1,2,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]]]
[5,6,1,2,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]]]
[5,6,1,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]]]
[5,6,1,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]]]
[5,6,1,3,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,6,1,3,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,6,1,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,6,1,3,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,6,1,3,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,6,1,3,7,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,6,1,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]
[5,6,1,4,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]
[5,6,1,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]
[5,6,1,4,3,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]
[5,6,1,4,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]
[5,6,1,4,7,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]
[5,6,1,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]]]
[5,6,1,7,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]]]
[5,6,1,7,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,6,1,7,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,6,1,7,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]
[5,6,1,7,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]
[5,6,2,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,6,2,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,6,2,1,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,6,2,1,4,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,6,2,1,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,6,2,1,7,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,6,2,3,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,6,2,3,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,6,2,3,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,6,2,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,6,2,3,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,6,2,3,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,6,2,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,6,2,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,6,2,4,3,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,6,2,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,6,2,4,7,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,6,2,4,7,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,6,2,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,6,2,7,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,6,2,7,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,6,2,7,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,6,2,7,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,6,2,7,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,6,3,1,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,6,3,1,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,6,3,1,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,6,3,1,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,6,3,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,6,3,1,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,6,3,2,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,6,3,2,1,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,6,3,2,4,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,6,3,2,4,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,6,3,2,7,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,6,3,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,6,3,4,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,6,3,4,2,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,6,3,4,2,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,6,3,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,6,3,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,6,3,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,6,3,7,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,6,3,7,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,6,3,7,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,6,3,7,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,6,4,1,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]
[5,6,4,1,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]
[5,6,4,1,3,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]
[5,6,4,1,3,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]
[5,6,4,1,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]
[5,6,4,1,7,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]
[5,6,4,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,6,4,2,1,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,6,4,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,6,4,2,3,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,6,4,2,7,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,6,4,2,7,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,6,4,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]]]
[5,6,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]]]
[5,6,4,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]]]
[5,6,4,3,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]]]
[5,6,4,3,7,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]]]
[5,6,4,3,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]]]
[5,6,4,7,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]
[5,6,4,7,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]
[5,6,4,7,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,6,4,7,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,6,4,7,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]]]
[5,6,4,7,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]]]
[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[],[],[],[]],[],[]]=>[[],[],[[],[],[],[]]]
[5,6,7,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[[[],[],[[]]],[],[]]=>[[],[],[[[]],[],[]]]
[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,6,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[[[],[[]],[]],[],[]]=>[[],[],[[],[[]],[]]]
[5,6,7,1,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]]]
[5,6,7,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>[[[],[[[]]]],[],[]]=>[[],[],[[[[]]],[]]]
[5,6,7,2,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,6,7,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,6,7,2,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,6,7,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]]]
[5,6,7,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,6,7,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>[[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]]]
[5,6,7,3,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,6,7,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,6,7,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,6,7,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,6,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]]]
[5,6,7,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]]]
[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[],[],[]]],[],[]]=>[[],[],[[[],[],[]]]]
[5,6,7,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[[],[[]]]],[],[]]=>[[],[],[[[[]],[]]]]
[5,6,7,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,6,7,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[[[]],[]]],[],[]]=>[[],[],[[[],[[]]]]]
[5,6,7,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[[[],[]]]],[],[]]=>[[],[],[[[[],[]]]]]
[5,6,7,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[[[[[]]]]],[],[]]=>[[],[],[[[[[]]]]]]
[5,7,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]=>[[[]],[[],[],[],[]]]
[5,7,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]=>[[[]],[[],[],[],[]]]
[5,7,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]=>[[[]],[[[]],[],[]]]
[5,7,1,2,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]=>[[[]],[[[]],[],[]]]
[5,7,1,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]=>[[[]],[[],[],[],[]]]
[5,7,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]=>[[[]],[[[]],[],[]]]
[5,7,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,7,1,3,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,7,1,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,7,1,3,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,7,1,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,7,1,3,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,7,1,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]
[5,7,1,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]
[5,7,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]
[5,7,1,4,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]
[5,7,1,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]
[5,7,1,4,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]
[5,7,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]=>[[[]],[[],[],[],[]]]
[5,7,1,6,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]=>[[[]],[[[]],[],[]]]
[5,7,1,6,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,7,1,6,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,7,1,6,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]
[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]
[5,7,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,7,2,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,7,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,7,2,1,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,7,2,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,7,2,3,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,7,2,3,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,7,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,7,2,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,7,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,7,2,3,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,7,2,4,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,7,2,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,7,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,7,2,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,7,2,4,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,7,2,4,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,7,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,7,2,6,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,7,2,6,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,7,3,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,7,3,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,7,3,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,7,3,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,7,3,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,7,3,2,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,7,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,7,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,7,3,2,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,7,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,7,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,7,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,7,3,4,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,7,3,4,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,7,3,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,7,3,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,7,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,7,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,7,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,7,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,7,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,7,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]
[5,7,4,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]
[5,7,4,1,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]
[5,7,4,1,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]
[5,7,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]
[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]
[5,7,4,2,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,7,4,2,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,7,4,2,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,7,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]
[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]
[5,7,4,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]]]
[5,7,4,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]]]
[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]
[5,7,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]]]
[5,7,4,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]
[5,7,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]
[5,7,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,7,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,7,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]
[5,7,4,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]]]
[5,7,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[[[],[],[],[]],[[]]]=>[[[]],[[],[],[],[]]]
[5,7,6,1,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>[[[],[],[[]]],[[]]]=>[[[]],[[[]],[],[]]]
[5,7,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,7,6,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>[[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]]]
[5,7,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>[[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]]]
[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>[[[],[[[]]]],[[]]]=>[[[]],[[[[]]],[]]]
[5,7,6,2,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,7,6,2,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,7,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>[[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]]]
[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>[[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]]]
[5,7,6,3,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,7,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[[],[]],[]],[[]]]=>[[[]],[[],[[],[]]]]
[5,7,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[[[[]]],[]],[[]]]=>[[[]],[[],[[[]]]]]
[5,7,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>[[[[],[],[]]],[[]]]=>[[[]],[[[],[],[]]]]
[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>[[[[],[[]]]],[[]]]=>[[[]],[[[[]],[]]]]
[5,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,7,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]]]
[5,7,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]
[5,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[[[[[]]]]],[[]]]=>[[[]],[[[[[]]]]]]
[6,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[[[],[],[],[],[]],[]]=>[[],[[],[],[],[],[]]]
[6,1,2,3,4,7,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[[[],[],[],[],[]],[]]=>[[],[[],[],[],[],[]]]
[6,1,2,3,5,4,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[],[],[],[[]]],[]]=>[[],[[[]],[],[],[]]]
[6,1,2,3,5,7,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[],[],[],[[]]],[]]=>[[],[[[]],[],[],[]]]
[6,1,2,3,7,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[[[],[],[],[],[]],[]]=>[[],[[],[],[],[],[]]]
[6,1,2,3,7,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[],[],[],[[]]],[]]=>[[],[[[]],[],[],[]]]
[6,1,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]=>[[],[[],[[]],[],[]]]
[6,1,2,4,3,7,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]=>[[],[[],[[]],[],[]]]
[6,1,2,4,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]=>[[],[[],[[]],[],[]]]
[6,1,2,4,5,7,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]=>[[],[[],[[]],[],[]]]
[6,1,2,4,7,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]=>[[],[[],[[]],[],[]]]
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[6,2,3,5,1,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,2,3,5,1,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,2,3,5,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,2,3,5,4,7,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,2,3,5,7,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,2,3,5,7,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,2,3,7,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]]]
[6,2,3,7,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,2,3,7,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]]]
[6,2,3,7,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]]]
[6,2,3,7,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,2,3,7,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,2,4,1,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,1,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,1,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,1,5,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,1,7,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,1,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,3,1,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,3,1,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,3,5,7,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,3,7,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,5,1,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,5,3,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,5,7,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,7,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,7,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,7,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,7,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,7,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,4,7,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,5,1,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,5,1,4,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,2,5,1,4,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,2,5,1,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,5,1,7,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,2,5,3,1,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,5,3,1,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,5,3,4,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,5,3,4,7,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,5,3,7,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,5,3,7,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,5,4,1,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,2,5,4,1,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,2,5,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,2,5,4,3,7,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,2,5,4,7,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,2,5,4,7,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,2,5,7,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,5,7,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,2,5,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,5,7,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,2,5,7,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,2,7,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]]]
[6,2,7,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,2,7,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,7,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,7,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,2,7,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]]]
[6,2,7,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,2,7,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]]]
[6,2,7,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]]]
[6,2,7,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,2,7,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,2,7,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,7,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,7,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,7,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,7,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,2,7,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,2,7,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,7,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,3,1,2,4,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,1,2,4,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,1,2,5,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,1,2,5,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,1,2,7,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,1,4,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,1,4,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,1,4,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,1,4,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,1,4,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,1,5,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,1,5,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,1,5,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,1,5,4,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,1,5,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,1,5,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,1,7,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,1,7,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,1,7,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,1,7,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,1,7,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,2,1,4,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,2,1,4,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,2,1,5,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,2,1,5,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,2,1,7,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,2,4,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,2,4,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,2,4,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,2,4,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,2,4,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,2,4,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,2,5,1,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,2,5,1,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,2,5,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,2,5,4,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,2,5,7,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,2,5,7,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,2,7,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,2,7,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,2,7,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,4,1,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,4,1,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,4,1,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,4,1,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,4,1,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,4,1,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,4,2,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,4,2,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,4,2,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,4,2,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,4,2,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,4,2,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,4,5,1,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,4,5,1,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,4,5,2,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,4,5,2,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,4,5,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,4,7,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,4,7,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,4,7,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,4,7,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,4,7,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,4,7,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,5,1,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,5,1,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,5,1,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,5,1,4,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,5,1,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,5,1,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,5,2,1,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,5,2,1,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,5,2,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,5,2,4,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,5,2,7,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,5,2,7,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,5,4,1,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,5,4,1,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,5,4,2,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,5,4,2,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,5,4,7,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,5,7,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,5,7,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,5,7,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,5,7,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,5,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,5,7,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,7,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,7,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,7,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,7,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,7,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,7,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,7,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,7,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,7,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,7,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,7,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,7,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,7,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,3,7,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,3,7,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,3,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,3,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,4,1,2,3,5,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,1,2,3,7,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,1,2,5,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,1,2,5,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,1,2,7,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,1,2,7,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,1,3,2,5,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,1,3,2,7,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,1,3,5,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,1,3,5,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,1,3,7,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,1,3,7,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,1,5,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,1,5,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,1,5,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,1,5,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,1,5,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,1,5,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,1,7,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,1,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,1,7,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,1,7,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,2,1,3,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,1,3,7,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,1,5,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,1,5,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,1,7,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,3,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,3,1,7,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,3,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,3,5,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,3,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,3,7,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,5,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,5,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,5,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,5,3,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,5,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,5,7,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,7,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,7,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,7,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,3,1,2,5,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,3,1,2,7,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,3,1,5,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,3,1,5,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,3,1,7,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,3,2,5,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,3,2,5,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,3,5,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,3,5,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,3,5,2,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,3,5,2,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,3,5,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,3,5,7,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,3,7,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,3,7,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,3,7,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,3,7,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,5,1,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,5,1,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,5,1,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,5,1,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,5,1,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,5,1,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,5,2,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,5,2,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,5,2,3,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,5,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,5,2,7,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,5,3,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,5,3,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,5,3,2,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,5,3,2,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,5,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,5,3,7,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,5,7,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,5,7,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,5,7,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,5,7,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,5,7,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
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[6,4,7,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,7,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
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[6,4,7,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
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[6,4,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
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[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
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[6,4,7,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
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[6,4,7,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,7,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,7,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,4,7,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,4,7,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,4,7,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,7,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,4,7,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,4,7,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,5,1,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[[[[],[],[],[]]],[]]=>[[],[[[],[],[],[]]]]
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[6,5,1,2,4,3,7]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>[[[[],[],[[]]]],[]]=>[[],[[[[]],[],[]]]]
[6,5,1,2,4,7,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>[[[[],[],[[]]]],[]]=>[[],[[[[]],[],[]]]]
[6,5,1,2,7,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[[[[],[],[],[]]],[]]=>[[],[[[],[],[],[]]]]
[6,5,1,2,7,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>[[[[],[],[[]]]],[]]=>[[],[[[[]],[],[]]]]
[6,5,1,3,2,4,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]]]
[6,5,1,3,2,7,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]]]
[6,5,1,3,4,2,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]]]
[6,5,1,3,4,7,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]]]
[6,5,1,3,7,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]]]
[6,5,1,3,7,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]]]
[6,5,1,4,2,3,7]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>[[[[],[[],[]]]],[]]=>[[],[[[[],[]],[]]]]
[6,5,1,4,2,7,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>[[[[],[[],[]]]],[]]=>[[],[[[[],[]],[]]]]
[6,5,1,4,3,2,7]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>[[[[],[[[]]]]],[]]=>[[],[[[[[]]],[]]]]
[6,5,1,4,3,7,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>[[[[],[[[]]]]],[]]=>[[],[[[[[]]],[]]]]
[6,5,1,4,7,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>[[[[],[[],[]]]],[]]=>[[],[[[[],[]],[]]]]
[6,5,1,4,7,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>[[[[],[[[]]]]],[]]=>[[],[[[[[]]],[]]]]
[6,5,1,7,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[[[[],[],[],[]]],[]]=>[[],[[[],[],[],[]]]]
[6,5,1,7,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>[[[[],[],[[]]]],[]]=>[[],[[[[]],[],[]]]]
[6,5,1,7,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]]]
[6,5,1,7,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]]]
[6,5,1,7,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>[[[[],[[],[]]]],[]]=>[[],[[[[],[]],[]]]]
[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>[[[[],[[[]]]]],[]]=>[[],[[[[[]]],[]]]]
[6,5,2,1,3,4,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]]]
[6,5,2,1,3,7,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]]]
[6,5,2,1,4,3,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]]]
[6,5,2,1,4,7,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]]]
[6,5,2,1,7,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]]]
[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]]]
[6,5,2,3,1,4,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]]]
[6,5,2,3,1,7,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]]]
[6,5,2,3,4,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]]]
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[6,5,2,3,7,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]]]
[6,5,2,3,7,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]]]
[6,5,2,4,1,3,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]]]
[6,5,2,4,1,7,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]]]
[6,5,2,4,3,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]]]
[6,5,2,4,3,7,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]]]
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[6,5,2,4,7,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]]]
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[6,5,3,1,7,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]]]
[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]]]
[6,5,3,2,1,4,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]]]
[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]]]
[6,5,3,2,4,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]]]
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[6,5,3,4,1,2,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]]]
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[6,5,3,7,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]]]
[6,5,3,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]]]
[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]]]
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[6,5,3,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]]]
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[6,5,7,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]]]
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[6,5,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>[[[[[],[],[]]]],[]]=>[[],[[[[],[],[]]]]]
[6,5,7,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>[[[[[],[[]]]]],[]]=>[[],[[[[[]],[]]]]]
[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]=>[[],[[[[],[[]]]]]]
[6,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]=>[[],[[[[],[[]]]]]]
[6,5,7,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>[[[[[[],[]]]]],[]]=>[[],[[[[[],[]]]]]]
[6,5,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[[[[[[]]]]]],[]]=>[[],[[[[[[]]]]]]]
[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[[[],[],[],[],[]],[]]=>[[],[[],[],[],[],[]]]
[6,7,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[],[],[],[[]]],[]]=>[[],[[[]],[],[],[]]]
[6,7,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]=>[[],[[],[[]],[],[]]]
[6,7,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[],[[]],[]],[]]=>[[],[[],[[]],[],[]]]
[6,7,1,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[[[],[],[[],[]]],[]]=>[[],[[[],[]],[],[]]]
[6,7,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>[[[],[],[[[]]]],[]]=>[[],[[[[]]],[],[]]]
[6,7,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]=>[[],[[],[],[[]],[]]]
[6,7,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]=>[[],[[[]],[[]],[]]]
[6,7,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]=>[[],[[],[],[[]],[]]]
[6,7,1,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[[[],[[]],[],[]],[]]=>[[],[[],[],[[]],[]]]
[6,7,1,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]=>[[],[[[]],[[]],[]]]
[6,7,1,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>[[[],[[]],[[]]],[]]=>[[],[[[]],[[]],[]]]
[6,7,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]=>[[],[[],[[],[]],[]]]
[6,7,1,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]=>[[],[[],[[],[]],[]]]
[6,7,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]=>[[],[[],[[[]]],[]]]
[6,7,1,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]=>[[],[[],[[[]]],[]]]
[6,7,1,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[[[],[[],[]],[]],[]]=>[[],[[],[[],[]],[]]]
[6,7,1,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>[[[],[[[]]],[]],[]]=>[[],[[],[[[]]],[]]]
[6,7,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[[[],[[],[],[]]],[]]=>[[],[[[],[],[]],[]]]
[6,7,1,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>[[[],[[],[[]]]],[]]=>[[],[[[[]],[]],[]]]
[6,7,1,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[]],[]]],[]]=>[[],[[[],[[]]],[]]]
[6,7,1,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>[[[],[[[]],[]]],[]]=>[[],[[[],[[]]],[]]]
[6,7,1,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>[[[],[[[],[]]]],[]]=>[[],[[[[],[]]],[]]]
[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>[[[],[[[[]]]]],[]]=>[[],[[[[[]]]],[]]]
[6,7,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]]]
[6,7,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,7,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,7,2,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,7,2,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,7,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,7,2,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]]]
[6,7,2,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,7,2,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]]]
[6,7,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]]]
[6,7,2,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,7,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>[[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]]]
[6,7,2,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,7,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,7,2,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,7,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,7,2,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,7,2,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]]]
[6,7,2,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,7,2,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,7,2,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]]]
[6,7,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>[[[[]],[[[]]]],[]]=>[[],[[[[]]],[[]]]]
[6,7,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,7,3,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,7,3,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,7,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,7,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,7,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,7,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,7,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,7,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,7,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,7,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,7,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,7,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,7,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,7,3,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[[[[],[]],[],[]],[]]=>[[],[[],[],[[],[]]]]
[6,7,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[[[[]]],[],[]],[]]=>[[],[[],[],[[[]]]]]
[6,7,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,7,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,7,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]]]
[6,7,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]]]
[6,7,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,7,4,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,7,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,7,4,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,7,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,7,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,7,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,7,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,7,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,7,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,7,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,7,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,7,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,7,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,7,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,7,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,7,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[],[],[]],[]],[]]=>[[],[[],[[],[],[]]]]
[6,7,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[[],[[]]],[]],[]]=>[[],[[],[[[]],[]]]]
[6,7,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,7,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]]]
[6,7,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[[[],[]]],[]],[]]=>[[],[[],[[[],[]]]]]
[6,7,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]]]
[6,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[[[[],[],[],[]]],[]]=>[[],[[[],[],[],[]]]]
[6,7,5,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>[[[[],[],[[]]]],[]]=>[[],[[[[]],[],[]]]]
[6,7,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]]]
[6,7,5,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[[],[[]],[]]],[]]=>[[],[[[],[[]],[]]]]
[6,7,5,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>[[[[],[[],[]]]],[]]=>[[],[[[[],[]],[]]]]
[6,7,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>[[[[],[[[]]]]],[]]=>[[],[[[[[]]],[]]]]
[6,7,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]]]
[6,7,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]]]
[6,7,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]]]
[6,7,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]]]
[6,7,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]]]
[6,7,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[[[[]],[[]]]],[]]=>[[],[[[[]],[[]]]]]
[6,7,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]]]
[6,7,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]]]
[6,7,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]]]
[6,7,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]]]
[6,7,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[[[],[]],[]]],[]]=>[[],[[[],[[],[]]]]]
[6,7,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]]]
[6,7,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>[[[[[],[],[]]]],[]]=>[[],[[[[],[],[]]]]]
[6,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>[[[[[],[[]]]]],[]]=>[[],[[[[[]],[]]]]]
[6,7,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]=>[[],[[[[],[[]]]]]]
[6,7,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[[[[[]],[]]]],[]]=>[[],[[[[],[[]]]]]]
[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>[[[[[[],[]]]]],[]]=>[[],[[[[[],[]]]]]]
[6,7,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[[[[[[]]]]]],[]]=>[[],[[[[[[]]]]]]]
[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[[[],[],[],[],[],[]]]=>[[[],[],[],[],[],[]]]
[7,1,2,3,4,6,5]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[[[],[],[],[],[[]]]]=>[[[[]],[],[],[],[]]]
[7,1,2,3,5,4,6]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[[[],[],[],[[]],[]]]=>[[[],[[]],[],[],[]]]
[7,1,2,3,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[[[],[],[],[[]],[]]]=>[[[],[[]],[],[],[]]]
[7,1,2,3,6,4,5]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[[[],[],[],[[],[]]]]=>[[[[],[]],[],[],[]]]
[7,1,2,3,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],.]=>[[[],[],[],[[[]]]]]=>[[[[[]]],[],[],[]]]
[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[[[],[],[[]],[],[]]]=>[[[],[],[[]],[],[]]]
[7,1,2,4,3,6,5]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>[[[],[],[[]],[[]]]]=>[[[[]],[[]],[],[]]]
[7,1,2,4,5,3,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[[[],[],[[]],[],[]]]=>[[[],[],[[]],[],[]]]
[7,1,2,4,5,6,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[[[],[],[[]],[],[]]]=>[[[],[],[[]],[],[]]]
[7,1,2,4,6,3,5]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>[[[],[],[[]],[[]]]]=>[[[[]],[[]],[],[]]]
[7,1,2,4,6,5,3]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>[[[],[],[[]],[[]]]]=>[[[[]],[[]],[],[]]]
[7,1,2,5,3,4,6]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[[[],[],[[],[]],[]]]=>[[[],[[],[]],[],[]]]
[7,1,2,5,3,6,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[[[],[],[[],[]],[]]]=>[[[],[[],[]],[],[]]]
[7,1,2,5,4,3,6]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>[[[],[],[[[]]],[]]]=>[[[],[[[]]],[],[]]]
[7,1,2,5,4,6,3]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>[[[],[],[[[]]],[]]]=>[[[],[[[]]],[],[]]]
[7,1,2,5,6,3,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[[[],[],[[],[]],[]]]=>[[[],[[],[]],[],[]]]
[7,1,2,5,6,4,3]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>[[[],[],[[[]]],[]]]=>[[[],[[[]]],[],[]]]
[7,1,2,6,3,4,5]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[[[],[],[[],[],[]]]]=>[[[[],[],[]],[],[]]]
[7,1,2,6,3,5,4]=>[[.,[.,[[.,[[.,.],.]],.]]],.]=>[[[],[],[[],[[]]]]]=>[[[[[]],[]],[],[]]]
[7,1,2,6,4,3,5]=>[[.,[.,[[[.,.],[.,.]],.]]],.]=>[[[],[],[[[]],[]]]]=>[[[[],[[]]],[],[]]]
[7,1,2,6,4,5,3]=>[[.,[.,[[[.,.],[.,.]],.]]],.]=>[[[],[],[[[]],[]]]]=>[[[[],[[]]],[],[]]]
[7,1,2,6,5,3,4]=>[[.,[.,[[[.,[.,.]],.],.]]],.]=>[[[],[],[[[],[]]]]]=>[[[[[],[]]],[],[]]]
[7,1,2,6,5,4,3]=>[[.,[.,[[[[.,.],.],.],.]]],.]=>[[[],[],[[[[]]]]]]=>[[[[[[]]]],[],[]]]
[7,1,3,2,4,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[[[],[[]],[],[],[]]]=>[[[],[],[],[[]],[]]]
[7,1,3,2,4,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>[[[],[[]],[],[[]]]]=>[[[[]],[],[[]],[]]]
[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[]],[[]],[]]]=>[[[],[[]],[[]],[]]]
[7,1,3,2,5,6,4]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[]],[[]],[]]]=>[[[],[[]],[[]],[]]]
[7,1,3,2,6,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>[[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]]]
[7,1,3,2,6,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>[[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]]]
[7,1,3,4,2,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[[[],[[]],[],[],[]]]=>[[[],[],[],[[]],[]]]
[7,1,3,4,2,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>[[[],[[]],[],[[]]]]=>[[[[]],[],[[]],[]]]
[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[[[],[[]],[],[],[]]]=>[[[],[],[],[[]],[]]]
[7,1,3,4,5,6,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[[[],[[]],[],[],[]]]=>[[[],[],[],[[]],[]]]
[7,1,3,4,6,2,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>[[[],[[]],[],[[]]]]=>[[[[]],[],[[]],[]]]
[7,1,3,4,6,5,2]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>[[[],[[]],[],[[]]]]=>[[[[]],[],[[]],[]]]
[7,1,3,5,2,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[]],[[]],[]]]=>[[[],[[]],[[]],[]]]
[7,1,3,5,2,6,4]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[]],[[]],[]]]=>[[[],[[]],[[]],[]]]
[7,1,3,5,4,2,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[]],[[]],[]]]=>[[[],[[]],[[]],[]]]
[7,1,3,5,4,6,2]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[]],[[]],[]]]=>[[[],[[]],[[]],[]]]
[7,1,3,5,6,2,4]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[]],[[]],[]]]=>[[[],[[]],[[]],[]]]
[7,1,3,5,6,4,2]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>[[[],[[]],[[]],[]]]=>[[[],[[]],[[]],[]]]
[7,1,3,6,2,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>[[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]]]
[7,1,3,6,2,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>[[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]]]
[7,1,3,6,4,2,5]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>[[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]]]
[7,1,3,6,4,5,2]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>[[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]]]
[7,1,3,6,5,2,4]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>[[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]]]
[7,1,3,6,5,4,2]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>[[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]]]
[7,1,4,2,3,5,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[[[],[[],[]],[],[]]]=>[[[],[],[[],[]],[]]]
[7,1,4,2,3,6,5]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>[[[],[[],[]],[[]]]]=>[[[[]],[[],[]],[]]]
[7,1,4,2,5,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[[[],[[],[]],[],[]]]=>[[[],[],[[],[]],[]]]
[7,1,4,2,5,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[[[],[[],[]],[],[]]]=>[[[],[],[[],[]],[]]]
[7,1,4,2,6,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>[[[],[[],[]],[[]]]]=>[[[[]],[[],[]],[]]]
[7,1,4,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>[[[],[[],[]],[[]]]]=>[[[[]],[[],[]],[]]]
[7,1,4,3,2,5,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>[[[],[[[]]],[],[]]]=>[[[],[],[[[]]],[]]]
[7,1,4,3,2,6,5]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>[[[],[[[]]],[[]]]]=>[[[[]],[[[]]],[]]]
[7,1,4,3,5,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>[[[],[[[]]],[],[]]]=>[[[],[],[[[]]],[]]]
[7,1,4,3,5,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>[[[],[[[]]],[],[]]]=>[[[],[],[[[]]],[]]]
[7,1,4,3,6,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>[[[],[[[]]],[[]]]]=>[[[[]],[[[]]],[]]]
[7,1,4,3,6,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>[[[],[[[]]],[[]]]]=>[[[[]],[[[]]],[]]]
[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[[[],[[],[]],[],[]]]=>[[[],[],[[],[]],[]]]
[7,1,4,5,2,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[[[],[[],[]],[],[]]]=>[[[],[],[[],[]],[]]]
[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>[[[],[[[]]],[],[]]]=>[[[],[],[[[]]],[]]]
[7,1,4,5,3,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>[[[],[[[]]],[],[]]]=>[[[],[],[[[]]],[]]]
[7,1,4,5,6,2,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[[[],[[],[]],[],[]]]=>[[[],[],[[],[]],[]]]
[7,1,4,5,6,3,2]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>[[[],[[[]]],[],[]]]=>[[[],[],[[[]]],[]]]
[7,1,4,6,2,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>[[[],[[],[]],[[]]]]=>[[[[]],[[],[]],[]]]
[7,1,4,6,2,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>[[[],[[],[]],[[]]]]=>[[[[]],[[],[]],[]]]
[7,1,4,6,3,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>[[[],[[[]]],[[]]]]=>[[[[]],[[[]]],[]]]
[7,1,4,6,3,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>[[[],[[[]]],[[]]]]=>[[[[]],[[[]]],[]]]
[7,1,4,6,5,2,3]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>[[[],[[],[]],[[]]]]=>[[[[]],[[],[]],[]]]
[7,1,4,6,5,3,2]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>[[[],[[[]]],[[]]]]=>[[[[]],[[[]]],[]]]
[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[[[],[[],[],[]],[]]]=>[[[],[[],[],[]],[]]]
[7,1,5,2,3,6,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[[[],[[],[],[]],[]]]=>[[[],[[],[],[]],[]]]
[7,1,5,2,4,3,6]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>[[[],[[],[[]]],[]]]=>[[[],[[[]],[]],[]]]
[7,1,5,2,4,6,3]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>[[[],[[],[[]]],[]]]=>[[[],[[[]],[]],[]]]
[7,1,5,2,6,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[[[],[[],[],[]],[]]]=>[[[],[[],[],[]],[]]]
[7,1,5,2,6,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>[[[],[[],[[]]],[]]]=>[[[],[[[]],[]],[]]]
[7,1,5,3,2,4,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[[]],[]],[]]]=>[[[],[[],[[]]],[]]]
[7,1,5,3,2,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[[]],[]],[]]]=>[[[],[[],[[]]],[]]]
[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[[]],[]],[]]]=>[[[],[[],[[]]],[]]]
[7,1,5,3,4,6,2]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[[]],[]],[]]]=>[[[],[[],[[]]],[]]]
[7,1,5,3,6,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[[]],[]],[]]]=>[[[],[[],[[]]],[]]]
[7,1,5,3,6,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[[]],[]],[]]]=>[[[],[[],[[]]],[]]]
[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>[[[],[[[],[]]],[]]]=>[[[],[[[],[]]],[]]]
[7,1,5,4,2,6,3]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>[[[],[[[],[]]],[]]]=>[[[],[[[],[]]],[]]]
[7,1,5,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>[[[],[[[[]]]],[]]]=>[[[],[[[[]]]],[]]]
[7,1,5,4,3,6,2]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>[[[],[[[[]]]],[]]]=>[[[],[[[[]]]],[]]]
[7,1,5,4,6,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>[[[],[[[],[]]],[]]]=>[[[],[[[],[]]],[]]]
[7,1,5,4,6,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>[[[],[[[[]]]],[]]]=>[[[],[[[[]]]],[]]]
[7,1,5,6,2,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[[[],[[],[],[]],[]]]=>[[[],[[],[],[]],[]]]
[7,1,5,6,2,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>[[[],[[],[[]]],[]]]=>[[[],[[[]],[]],[]]]
[7,1,5,6,3,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[[]],[]],[]]]=>[[[],[[],[[]]],[]]]
[7,1,5,6,3,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[[]],[]],[]]]=>[[[],[[],[[]]],[]]]
[7,1,5,6,4,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>[[[],[[[],[]]],[]]]=>[[[],[[[],[]]],[]]]
[7,1,5,6,4,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>[[[],[[[[]]]],[]]]=>[[[],[[[[]]]],[]]]
[7,1,6,2,3,4,5]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[[[],[[],[],[],[]]]]=>[[[[],[],[],[]],[]]]
[7,1,6,2,3,5,4]=>[[.,[[.,[.,[[.,.],.]]],.]],.]=>[[[],[[],[],[[]]]]]=>[[[[[]],[],[]],[]]]
[7,1,6,2,4,3,5]=>[[.,[[.,[[.,.],[.,.]]],.]],.]=>[[[],[[],[[]],[]]]]=>[[[[],[[]],[]],[]]]
[7,1,6,2,4,5,3]=>[[.,[[.,[[.,.],[.,.]]],.]],.]=>[[[],[[],[[]],[]]]]=>[[[[],[[]],[]],[]]]
[7,1,6,2,5,3,4]=>[[.,[[.,[[.,[.,.]],.]],.]],.]=>[[[],[[],[[],[]]]]]=>[[[[[],[]],[]],[]]]
[7,1,6,2,5,4,3]=>[[.,[[.,[[[.,.],.],.]],.]],.]=>[[[],[[],[[[]]]]]]=>[[[[[[]]],[]],[]]]
[7,1,6,3,2,4,5]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>[[[],[[[]],[],[]]]]=>[[[[],[],[[]]],[]]]
[7,1,6,3,2,5,4]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>[[[],[[[]],[[]]]]]=>[[[[[]],[[]]],[]]]
[7,1,6,3,4,2,5]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>[[[],[[[]],[],[]]]]=>[[[[],[],[[]]],[]]]
[7,1,6,3,4,5,2]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>[[[],[[[]],[],[]]]]=>[[[[],[],[[]]],[]]]
[7,1,6,3,5,2,4]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>[[[],[[[]],[[]]]]]=>[[[[[]],[[]]],[]]]
[7,1,6,3,5,4,2]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>[[[],[[[]],[[]]]]]=>[[[[[]],[[]]],[]]]
[7,1,6,4,2,3,5]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>[[[],[[[],[]],[]]]]=>[[[[],[[],[]]],[]]]
[7,1,6,4,2,5,3]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>[[[],[[[],[]],[]]]]=>[[[[],[[],[]]],[]]]
[7,1,6,4,3,2,5]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>[[[],[[[[]]],[]]]]=>[[[[],[[[]]]],[]]]
[7,1,6,4,3,5,2]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>[[[],[[[[]]],[]]]]=>[[[[],[[[]]]],[]]]
[7,1,6,4,5,2,3]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>[[[],[[[],[]],[]]]]=>[[[[],[[],[]]],[]]]
[7,1,6,4,5,3,2]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>[[[],[[[[]]],[]]]]=>[[[[],[[[]]]],[]]]
[7,1,6,5,2,3,4]=>[[.,[[[.,[.,[.,.]]],.],.]],.]=>[[[],[[[],[],[]]]]]=>[[[[[],[],[]]],[]]]
[7,1,6,5,2,4,3]=>[[.,[[[.,[[.,.],.]],.],.]],.]=>[[[],[[[],[[]]]]]]=>[[[[[[]],[]]],[]]]
[7,1,6,5,3,2,4]=>[[.,[[[[.,.],[.,.]],.],.]],.]=>[[[],[[[[]],[]]]]]=>[[[[[],[[]]]],[]]]
[7,1,6,5,3,4,2]=>[[.,[[[[.,.],[.,.]],.],.]],.]=>[[[],[[[[]],[]]]]]=>[[[[[],[[]]]],[]]]
[7,1,6,5,4,2,3]=>[[.,[[[[.,[.,.]],.],.],.]],.]=>[[[],[[[[],[]]]]]]=>[[[[[[],[]]]],[]]]
[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]=>[[[],[[[[[]]]]]]]=>[[[[[[[]]]]],[]]]
[7,2,1,3,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[[[[]],[],[],[],[]]]=>[[[],[],[],[],[[]]]]
[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>[[[[]],[],[],[[]]]]=>[[[[]],[],[],[[]]]]
[7,2,1,3,5,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]]]
[7,2,1,3,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]]]
[7,2,1,3,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]
[7,2,1,3,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]
[7,2,1,4,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]
[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[7,2,1,4,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]
[7,2,1,4,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]
[7,2,1,4,6,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[7,2,1,4,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[7,2,1,5,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]
[7,2,1,5,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]
[7,2,1,5,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]
[7,2,1,5,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]
[7,2,1,5,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]
[7,2,1,5,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]
[7,2,1,6,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]]]
[7,2,1,6,3,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>[[[[]],[[],[[]]]]]=>[[[[[]],[]],[[]]]]
[7,2,1,6,4,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]]]
[7,2,1,6,4,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]]]
[7,2,1,6,5,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>[[[[]],[[[],[]]]]]=>[[[[[],[]]],[[]]]]
[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>[[[[]],[[[[]]]]]]=>[[[[[[]]]],[[]]]]
[7,2,3,1,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[[[[]],[],[],[],[]]]=>[[[],[],[],[],[[]]]]
[7,2,3,1,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>[[[[]],[],[],[[]]]]=>[[[[]],[],[],[[]]]]
[7,2,3,1,5,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]]]
[7,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]]]
[7,2,3,1,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]
[7,2,3,1,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]
[7,2,3,4,1,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[[[[]],[],[],[],[]]]=>[[[],[],[],[],[[]]]]
[7,2,3,4,1,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>[[[[]],[],[],[[]]]]=>[[[[]],[],[],[[]]]]
[7,2,3,4,5,1,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[[[[]],[],[],[],[]]]=>[[[],[],[],[],[[]]]]
[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[[[[]],[],[],[],[]]]=>[[[],[],[],[],[[]]]]
[7,2,3,4,6,1,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>[[[[]],[],[],[[]]]]=>[[[[]],[],[],[[]]]]
[7,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>[[[[]],[],[],[[]]]]=>[[[[]],[],[],[[]]]]
[7,2,3,5,1,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]]]
[7,2,3,5,1,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]]]
[7,2,3,5,4,1,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]]]
[7,2,3,5,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]]]
[7,2,3,5,6,1,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]]]
[7,2,3,5,6,4,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[[[[]],[],[[]],[]]]=>[[[],[[]],[],[[]]]]
[7,2,3,6,1,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]
[7,2,3,6,1,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]
[7,2,3,6,4,1,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]
[7,2,3,6,4,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]
[7,2,3,6,5,1,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]
[7,2,3,6,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]
[7,2,4,1,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]
[7,2,4,1,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[7,2,4,1,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]
[7,2,4,1,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]
[7,2,4,1,6,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[7,2,4,1,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[7,2,4,3,1,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]
[7,2,4,3,1,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[7,2,4,3,5,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]
[7,2,4,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]
[7,2,4,3,6,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[7,2,4,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[7,2,4,5,1,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]
[7,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]
[7,2,4,5,3,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]
[7,2,4,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]
[7,2,4,5,6,1,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]
[7,2,4,5,6,3,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[[[[]],[[]],[],[]]]=>[[[],[],[[]],[[]]]]
[7,2,4,6,1,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[7,2,4,6,1,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[7,2,4,6,3,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[7,2,4,6,3,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[7,2,4,6,5,1,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[7,2,4,6,5,3,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[7,2,5,1,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]
[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]
[7,2,5,1,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]
[7,2,5,1,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]
[7,2,5,1,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]
[7,2,5,1,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]
[7,2,5,3,1,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]
[7,2,5,3,1,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]
[7,2,5,3,4,1,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]
[7,2,5,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]
[7,2,5,3,6,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]
[7,2,5,3,6,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]
[7,2,5,4,1,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]
[7,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]
[7,2,5,4,3,1,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]
[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]
[7,2,5,4,6,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]
[7,2,5,4,6,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]
[7,2,5,6,1,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]
[7,2,5,6,1,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]
[7,2,5,6,3,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]
[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]]]
[7,2,5,6,4,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]
[7,2,5,6,4,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[[[[]],[[[]]],[]]]=>[[[],[[[]]],[[]]]]
[7,2,6,1,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]]]
[7,2,6,1,3,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>[[[[]],[[],[[]]]]]=>[[[[[]],[]],[[]]]]
[7,2,6,1,4,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]]]
[7,2,6,1,4,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]]]
[7,2,6,1,5,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>[[[[]],[[[],[]]]]]=>[[[[[],[]]],[[]]]]
[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>[[[[]],[[[[]]]]]]=>[[[[[[]]]],[[]]]]
[7,2,6,3,1,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]]]
[7,2,6,3,1,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>[[[[]],[[],[[]]]]]=>[[[[[]],[]],[[]]]]
[7,2,6,3,4,1,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]]]
[7,2,6,3,4,5,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]]]
[7,2,6,3,5,1,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>[[[[]],[[],[[]]]]]=>[[[[[]],[]],[[]]]]
[7,2,6,3,5,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>[[[[]],[[],[[]]]]]=>[[[[[]],[]],[[]]]]
[7,2,6,4,1,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]]]
[7,2,6,4,1,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]]]
[7,2,6,4,3,1,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]]]
[7,2,6,4,3,5,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]]]
[7,2,6,4,5,1,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]]]
[7,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[[[[]],[[[]],[]]]]=>[[[[],[[]]],[[]]]]
[7,2,6,5,1,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>[[[[]],[[[],[]]]]]=>[[[[[],[]]],[[]]]]
[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>[[[[]],[[[[]]]]]]=>[[[[[[]]]],[[]]]]
[7,2,6,5,3,1,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>[[[[]],[[[],[]]]]]=>[[[[[],[]]],[[]]]]
[7,2,6,5,3,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>[[[[]],[[[],[]]]]]=>[[[[[],[]]],[[]]]]
[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>[[[[]],[[[[]]]]]]=>[[[[[[]]]],[[]]]]
[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]=>[[[[]],[[[[]]]]]]=>[[[[[[]]]],[[]]]]
[7,3,1,2,4,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]]]
[7,3,1,2,4,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]]]
[7,3,1,2,5,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,1,2,5,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]
[7,3,1,2,6,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]
[7,3,1,4,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]]]
[7,3,1,4,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]]]
[7,3,1,4,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]]]
[7,3,1,4,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]]]
[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]]]
[7,3,1,4,6,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]]]
[7,3,1,5,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,1,5,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,1,5,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,1,5,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,1,5,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,1,5,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,1,6,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]
[7,3,1,6,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]
[7,3,1,6,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]
[7,3,1,6,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]
[7,3,1,6,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]
[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]
[7,3,2,1,4,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]]]
[7,3,2,1,4,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]]]
[7,3,2,1,5,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,2,1,5,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,2,1,6,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]
[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]
[7,3,2,4,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]]]
[7,3,2,4,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]]]
[7,3,2,4,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]]]
[7,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]]]
[7,3,2,4,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]]]
[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]]]
[7,3,2,5,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,2,5,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,2,5,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,2,5,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,2,5,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,2,5,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,2,6,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]
[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]
[7,3,2,6,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]
[7,3,2,6,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]
[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]
[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]
[7,3,4,1,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]]]
[7,3,4,1,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]]]
[7,3,4,1,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]]]
[7,3,4,1,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]]]
[7,3,4,1,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]]]
[7,3,4,1,6,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]]]
[7,3,4,2,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]]]
[7,3,4,2,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]]]
[7,3,4,2,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]]]
[7,3,4,2,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]]]
[7,3,4,2,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]]]
[7,3,4,2,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]]]
[7,3,4,5,1,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]]]
[7,3,4,5,1,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]]]
[7,3,4,5,2,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]]]
[7,3,4,5,2,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]]]
[7,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[[[[],[]],[],[],[]]]=>[[[],[],[],[[],[]]]]
[7,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]]]
[7,3,4,6,1,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]]]
[7,3,4,6,1,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]]]
[7,3,4,6,2,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]]]
[7,3,4,6,2,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]]]
[7,3,4,6,5,1,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]]]
[7,3,4,6,5,2,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]]]
[7,3,5,1,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,5,1,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,5,1,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,5,1,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,5,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,5,1,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,5,2,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,5,2,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,5,2,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,5,2,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,5,2,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,5,2,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,5,4,1,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,5,4,1,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,5,4,2,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,5,4,2,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,5,4,6,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,5,6,1,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,5,6,1,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,5,6,2,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,5,6,2,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,5,6,4,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[[[[],[]],[[]],[]]]=>[[[],[[]],[[],[]]]]
[7,3,5,6,4,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]]]
[7,3,6,1,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]
[7,3,6,1,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]
[7,3,6,1,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]
[7,3,6,1,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]
[7,3,6,1,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]
[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]
[7,3,6,2,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]
[7,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]
[7,3,6,2,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]
[7,3,6,2,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]
[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]
[7,3,6,2,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]
[7,3,6,4,1,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]
[7,3,6,4,1,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]
[7,3,6,4,2,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]
[7,3,6,4,2,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]
[7,3,6,4,5,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]
[7,3,6,4,5,2,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]
[7,3,6,5,1,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]
[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]
[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]
[7,3,6,5,2,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]
[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]
[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]
[7,4,1,2,3,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]]]
[7,4,1,2,3,6,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]]]
[7,4,1,2,5,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]]]
[7,4,1,2,5,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]]]
[7,4,1,2,6,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]]]
[7,4,1,2,6,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]]]
[7,4,1,3,2,5,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]]]
[7,4,1,3,2,6,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]
[7,4,1,3,5,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]]]
[7,4,1,3,5,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]]]
[7,4,1,3,6,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]
[7,4,1,3,6,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]
[7,4,1,5,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]]]
[7,4,1,5,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]]]
[7,4,1,5,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]]]
[7,4,1,5,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]]]
[7,4,1,5,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]]]
[7,4,1,5,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]]]
[7,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]]]
[7,4,1,6,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]]]
[7,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]
[7,4,1,6,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]
[7,4,1,6,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]]]
[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]
[7,4,2,1,3,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,2,1,3,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,1,5,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,2,1,5,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,2,1,6,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,3,1,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,2,3,1,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,3,5,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,2,3,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,2,3,6,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,3,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,5,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,2,5,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,2,5,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,2,5,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,2,5,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,2,5,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,2,6,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,6,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,3,1,2,5,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]]]
[7,4,3,1,2,6,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]
[7,4,3,1,5,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]]]
[7,4,3,1,5,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]]]
[7,4,3,1,6,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]
[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]
[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]]]
[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]
[7,4,3,2,5,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]]]
[7,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]]]
[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]
[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]
[7,4,3,5,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]]]
[7,4,3,5,1,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]]]
[7,4,3,5,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]]]
[7,4,3,5,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]]]
[7,4,3,5,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]]]
[7,4,3,5,6,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]]]
[7,4,3,6,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]
[7,4,3,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]
[7,4,3,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]
[7,4,3,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]
[7,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]
[7,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]
[7,4,5,1,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]]]
[7,4,5,1,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]]]
[7,4,5,1,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]]]
[7,4,5,1,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]]]
[7,4,5,1,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]]]
[7,4,5,1,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]]]
[7,4,5,2,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,5,2,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,5,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,5,3,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]]]
[7,4,5,3,1,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]]]
[7,4,5,3,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]]]
[7,4,5,3,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]]]
[7,4,5,3,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]]]
[7,4,5,3,6,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]]]
[7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[[[[],[],[]],[],[]]]=>[[[],[],[[],[],[]]]]
[7,4,5,6,1,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[[[[],[[]]],[],[]]]=>[[[],[],[[[]],[]]]]
[7,4,5,6,2,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,5,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[],[]]]=>[[[],[],[[],[[]]]]]
[7,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[[[[[],[]]],[],[]]]=>[[[],[],[[[],[]]]]]
[7,4,5,6,3,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[[[[[[]]]],[],[]]]=>[[[],[],[[[[]]]]]]
[7,4,6,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]]]
[7,4,6,1,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]]]
[7,4,6,1,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]
[7,4,6,1,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]
[7,4,6,1,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]]]
[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]
[7,4,6,2,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,6,2,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,6,3,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]
[7,4,6,3,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]
[7,4,6,3,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]
[7,4,6,3,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]
[7,4,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]
[7,4,6,3,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]
[7,4,6,5,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]]]
[7,4,6,5,1,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]
[7,4,6,5,2,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,6,5,2,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[7,4,6,5,3,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]
[7,4,6,5,3,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]
[7,5,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[[[[],[],[],[]],[]]]=>[[[],[[],[],[],[]]]]
[7,5,1,2,3,6,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[[[[],[],[],[]],[]]]=>[[[],[[],[],[],[]]]]
[7,5,1,2,4,3,6]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>[[[[],[],[[]]],[]]]=>[[[],[[[]],[],[]]]]
[7,5,1,2,4,6,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>[[[[],[],[[]]],[]]]=>[[[],[[[]],[],[]]]]
[7,5,1,2,6,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[[[[],[],[],[]],[]]]=>[[[],[[],[],[],[]]]]
[7,5,1,2,6,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>[[[[],[],[[]]],[]]]=>[[[],[[[]],[],[]]]]
[7,5,1,3,2,4,6]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]]]
[7,5,1,3,2,6,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]]]
[7,5,1,3,4,2,6]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]]]
[7,5,1,3,4,6,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]]]
[7,5,1,3,6,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]]]
[7,5,1,3,6,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]]]
[7,5,1,4,2,3,6]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>[[[[],[[],[]]],[]]]=>[[[],[[[],[]],[]]]]
[7,5,1,4,2,6,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>[[[[],[[],[]]],[]]]=>[[[],[[[],[]],[]]]]
[7,5,1,4,3,2,6]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>[[[[],[[[]]]],[]]]=>[[[],[[[[]]],[]]]]
[7,5,1,4,3,6,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>[[[[],[[[]]]],[]]]=>[[[],[[[[]]],[]]]]
[7,5,1,4,6,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>[[[[],[[],[]]],[]]]=>[[[],[[[],[]],[]]]]
[7,5,1,4,6,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>[[[[],[[[]]]],[]]]=>[[[],[[[[]]],[]]]]
[7,5,1,6,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[[[[],[],[],[]],[]]]=>[[[],[[],[],[],[]]]]
[7,5,1,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>[[[[],[],[[]]],[]]]=>[[[],[[[]],[],[]]]]
[7,5,1,6,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]]]
[7,5,1,6,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]]]
[7,5,1,6,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>[[[[],[[],[]]],[]]]=>[[[],[[[],[]],[]]]]
[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>[[[[],[[[]]]],[]]]=>[[[],[[[[]]],[]]]]
[7,5,2,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]
[7,5,2,1,3,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]
[7,5,2,1,4,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]
[7,5,2,1,4,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]
[7,5,2,1,6,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]
[7,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]
[7,5,2,3,1,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]
[7,5,2,3,1,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]
[7,5,2,3,4,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]
[7,5,2,3,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]
[7,5,2,3,6,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]
[7,5,2,3,6,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]
[7,5,2,4,1,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]
[7,5,2,4,1,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]
[7,5,2,4,3,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]
[7,5,2,4,3,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]
[7,5,2,4,6,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]
[7,5,2,4,6,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]
[7,5,2,6,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]
[7,5,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]
[7,5,2,6,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]
[7,5,2,6,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]
[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]
[7,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]
[7,5,3,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]
[7,5,3,1,2,6,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]
[7,5,3,1,4,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]
[7,5,3,1,4,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]
[7,5,3,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]
[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]
[7,5,3,2,1,4,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]
[7,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]
[7,5,3,2,4,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]
[7,5,3,2,4,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]
[7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]
[7,5,3,2,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]
[7,5,3,4,1,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]
[7,5,3,4,1,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]
[7,5,3,4,2,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]
[7,5,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]
[7,5,3,4,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]
[7,5,3,4,6,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]
[7,5,3,6,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]
[7,5,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]
[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]
[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]
[7,5,3,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]
[7,5,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]
[7,5,4,1,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>[[[[[],[],[]]],[]]]=>[[[],[[[],[],[]]]]]
[7,5,4,1,2,6,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>[[[[[],[],[]]],[]]]=>[[[],[[[],[],[]]]]]
[7,5,4,1,3,2,6]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>[[[[[],[[]]]],[]]]=>[[[],[[[[]],[]]]]]
[7,5,4,1,3,6,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>[[[[[],[[]]]],[]]]=>[[[],[[[[]],[]]]]]
[7,5,4,1,6,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>[[[[[],[],[]]],[]]]=>[[[],[[[],[],[]]]]]
[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>[[[[[],[[]]]],[]]]=>[[[],[[[[]],[]]]]]
[7,5,4,2,1,3,6]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]]]
[7,5,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]]]
[7,5,4,2,3,1,6]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]]]
[7,5,4,2,3,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]]]
[7,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]]]
[7,5,4,2,6,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]]]
[7,5,4,3,1,2,6]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>[[[[[[],[]]]],[]]]=>[[[],[[[[],[]]]]]]
[7,5,4,3,1,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>[[[[[[],[]]]],[]]]=>[[[],[[[[],[]]]]]]
[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],.]=>[[[[[[[]]]]],[]]]=>[[[],[[[[[]]]]]]]
[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>[[[[[[[]]]]],[]]]=>[[[],[[[[[]]]]]]]
[7,5,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>[[[[[[],[]]]],[]]]=>[[[],[[[[],[]]]]]]
[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>[[[[[[[]]]]],[]]]=>[[[],[[[[[]]]]]]]
[7,5,4,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>[[[[[],[],[]]],[]]]=>[[[],[[[],[],[]]]]]
[7,5,4,6,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>[[[[[],[[]]]],[]]]=>[[[],[[[[]],[]]]]]
[7,5,4,6,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]]]
[7,5,4,6,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]]]
[7,5,4,6,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>[[[[[[],[]]]],[]]]=>[[[],[[[[],[]]]]]]
[7,5,4,6,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>[[[[[[[]]]]],[]]]=>[[[],[[[[[]]]]]]]
[7,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[[[[],[],[],[]],[]]]=>[[[],[[],[],[],[]]]]
[7,5,6,1,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>[[[[],[],[[]]],[]]]=>[[[],[[[]],[],[]]]]
[7,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]]]
[7,5,6,1,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[[[[],[[]],[]],[]]]=>[[[],[[],[[]],[]]]]
[7,5,6,1,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>[[[[],[[],[]]],[]]]=>[[[],[[[],[]],[]]]]
[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>[[[[],[[[]]]],[]]]=>[[[],[[[[]]],[]]]]
[7,5,6,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]
[7,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]
[7,5,6,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]
[7,5,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]]]
[7,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]
[7,5,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]]]
[7,5,6,3,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]
[7,5,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]
[7,5,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]
[7,5,6,3,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]
[7,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[[[[[],[]],[]],[]]]=>[[[],[[],[[],[]]]]]
[7,5,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]]]
[7,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>[[[[[],[],[]]],[]]]=>[[[],[[[],[],[]]]]]
[7,5,6,4,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>[[[[[],[[]]]],[]]]=>[[[],[[[[]],[]]]]]
[7,5,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]]]
[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]]]
[7,5,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>[[[[[[],[]]]],[]]]=>[[[],[[[[],[]]]]]]
[7,5,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>[[[[[[[]]]]],[]]]=>[[[],[[[[[]]]]]]]
[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[[[[],[],[],[],[]]]]=>[[[[],[],[],[],[]]]]
[7,6,1,2,3,5,4]=>[[[.,[.,[.,[[.,.],.]]]],.],.]=>[[[[],[],[],[[]]]]]=>[[[[[]],[],[],[]]]]
[7,6,1,2,4,3,5]=>[[[.,[.,[[.,.],[.,.]]]],.],.]=>[[[[],[],[[]],[]]]]=>[[[[],[[]],[],[]]]]
[7,6,1,2,4,5,3]=>[[[.,[.,[[.,.],[.,.]]]],.],.]=>[[[[],[],[[]],[]]]]=>[[[[],[[]],[],[]]]]
[7,6,1,2,5,3,4]=>[[[.,[.,[[.,[.,.]],.]]],.],.]=>[[[[],[],[[],[]]]]]=>[[[[[],[]],[],[]]]]
[7,6,1,2,5,4,3]=>[[[.,[.,[[[.,.],.],.]]],.],.]=>[[[[],[],[[[]]]]]]=>[[[[[[]]],[],[]]]]
[7,6,1,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>[[[[],[[]],[],[]]]]=>[[[[],[],[[]],[]]]]
[7,6,1,3,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>[[[[],[[]],[[]]]]]=>[[[[[]],[[]],[]]]]
[7,6,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>[[[[],[[]],[],[]]]]=>[[[[],[],[[]],[]]]]
[7,6,1,3,4,5,2]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>[[[[],[[]],[],[]]]]=>[[[[],[],[[]],[]]]]
[7,6,1,3,5,2,4]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>[[[[],[[]],[[]]]]]=>[[[[[]],[[]],[]]]]
[7,6,1,3,5,4,2]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>[[[[],[[]],[[]]]]]=>[[[[[]],[[]],[]]]]
[7,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>[[[[],[[],[]],[]]]]=>[[[[],[[],[]],[]]]]
[7,6,1,4,2,5,3]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>[[[[],[[],[]],[]]]]=>[[[[],[[],[]],[]]]]
[7,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>[[[[],[[[]]],[]]]]=>[[[[],[[[]]],[]]]]
[7,6,1,4,3,5,2]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>[[[[],[[[]]],[]]]]=>[[[[],[[[]]],[]]]]
[7,6,1,4,5,2,3]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>[[[[],[[],[]],[]]]]=>[[[[],[[],[]],[]]]]
[7,6,1,4,5,3,2]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>[[[[],[[[]]],[]]]]=>[[[[],[[[]]],[]]]]
[7,6,1,5,2,3,4]=>[[[.,[[.,[.,[.,.]]],.]],.],.]=>[[[[],[[],[],[]]]]]=>[[[[[],[],[]],[]]]]
[7,6,1,5,2,4,3]=>[[[.,[[.,[[.,.],.]],.]],.],.]=>[[[[],[[],[[]]]]]]=>[[[[[[]],[]],[]]]]
[7,6,1,5,3,2,4]=>[[[.,[[[.,.],[.,.]],.]],.],.]=>[[[[],[[[]],[]]]]]=>[[[[[],[[]]],[]]]]
[7,6,1,5,3,4,2]=>[[[.,[[[.,.],[.,.]],.]],.],.]=>[[[[],[[[]],[]]]]]=>[[[[[],[[]]],[]]]]
[7,6,1,5,4,2,3]=>[[[.,[[[.,[.,.]],.],.]],.],.]=>[[[[],[[[],[]]]]]]=>[[[[[[],[]]],[]]]]
[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]=>[[[[],[[[[]]]]]]]=>[[[[[[[]]]],[]]]]
[7,6,2,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>[[[[[]],[],[],[]]]]=>[[[[],[],[],[[]]]]]
[7,6,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>[[[[[]],[],[[]]]]]=>[[[[[]],[],[[]]]]]
[7,6,2,1,4,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[[[[]],[[]],[]]]]=>[[[[],[[]],[[]]]]]
[7,6,2,1,4,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[[[[]],[[]],[]]]]=>[[[[],[[]],[[]]]]]
[7,6,2,1,5,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>[[[[[]],[[],[]]]]]=>[[[[[],[]],[[]]]]]
[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]=>[[[[[]],[[[]]]]]]=>[[[[[[]]],[[]]]]]
[7,6,2,3,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>[[[[[]],[],[],[]]]]=>[[[[],[],[],[[]]]]]
[7,6,2,3,1,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>[[[[[]],[],[[]]]]]=>[[[[[]],[],[[]]]]]
[7,6,2,3,4,1,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>[[[[[]],[],[],[]]]]=>[[[[],[],[],[[]]]]]
[7,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>[[[[[]],[],[],[]]]]=>[[[[],[],[],[[]]]]]
[7,6,2,3,5,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>[[[[[]],[],[[]]]]]=>[[[[[]],[],[[]]]]]
[7,6,2,3,5,4,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>[[[[[]],[],[[]]]]]=>[[[[[]],[],[[]]]]]
[7,6,2,4,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[[[[]],[[]],[]]]]=>[[[[],[[]],[[]]]]]
[7,6,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[[[[]],[[]],[]]]]=>[[[[],[[]],[[]]]]]
[7,6,2,4,3,1,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[[[[]],[[]],[]]]]=>[[[[],[[]],[[]]]]]
[7,6,2,4,3,5,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[[[[]],[[]],[]]]]=>[[[[],[[]],[[]]]]]
[7,6,2,4,5,1,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[[[[]],[[]],[]]]]=>[[[[],[[]],[[]]]]]
[7,6,2,4,5,3,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>[[[[[]],[[]],[]]]]=>[[[[],[[]],[[]]]]]
[7,6,2,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>[[[[[]],[[],[]]]]]=>[[[[[],[]],[[]]]]]
[7,6,2,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]=>[[[[[]],[[[]]]]]]=>[[[[[[]]],[[]]]]]
[7,6,2,5,3,1,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>[[[[[]],[[],[]]]]]=>[[[[[],[]],[[]]]]]
[7,6,2,5,3,4,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>[[[[[]],[[],[]]]]]=>[[[[[],[]],[[]]]]]
[7,6,2,5,4,1,3]=>[[[[.,.],[[[.,.],.],.]],.],.]=>[[[[[]],[[[]]]]]]=>[[[[[[]]],[[]]]]]
[7,6,2,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],.],.]=>[[[[[]],[[[]]]]]]=>[[[[[[]]],[[]]]]]
[7,6,3,1,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[[[[[],[]],[],[]]]]=>[[[[],[],[[],[]]]]]
[7,6,3,1,2,5,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>[[[[[],[]],[[]]]]]=>[[[[[]],[[],[]]]]]
[7,6,3,1,4,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[[[[[],[]],[],[]]]]=>[[[[],[],[[],[]]]]]
[7,6,3,1,4,5,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[[[[[],[]],[],[]]]]=>[[[[],[],[[],[]]]]]
[7,6,3,1,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>[[[[[],[]],[[]]]]]=>[[[[[]],[[],[]]]]]
[7,6,3,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>[[[[[],[]],[[]]]]]=>[[[[[]],[[],[]]]]]
[7,6,3,2,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>[[[[[[]]],[],[]]]]=>[[[[],[],[[[]]]]]]
[7,6,3,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[[[[[[]]],[[]]]]]=>[[[[[]],[[[]]]]]]
[7,6,3,2,4,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>[[[[[[]]],[],[]]]]=>[[[[],[],[[[]]]]]]
[7,6,3,2,4,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>[[[[[[]]],[],[]]]]=>[[[[],[],[[[]]]]]]
[7,6,3,2,5,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[[[[[[]]],[[]]]]]=>[[[[[]],[[[]]]]]]
[7,6,3,2,5,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[[[[[[]]],[[]]]]]=>[[[[[]],[[[]]]]]]
[7,6,3,4,1,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[[[[[],[]],[],[]]]]=>[[[[],[],[[],[]]]]]
[7,6,3,4,1,5,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[[[[[],[]],[],[]]]]=>[[[[],[],[[],[]]]]]
[7,6,3,4,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>[[[[[[]]],[],[]]]]=>[[[[],[],[[[]]]]]]
[7,6,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>[[[[[[]]],[],[]]]]=>[[[[],[],[[[]]]]]]
[7,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[[[[[],[]],[],[]]]]=>[[[[],[],[[],[]]]]]
[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>[[[[[[]]],[],[]]]]=>[[[[],[],[[[]]]]]]
[7,6,3,5,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>[[[[[],[]],[[]]]]]=>[[[[[]],[[],[]]]]]
[7,6,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>[[[[[],[]],[[]]]]]=>[[[[[]],[[],[]]]]]
[7,6,3,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[[[[[[]]],[[]]]]]=>[[[[[]],[[[]]]]]]
[7,6,3,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[[[[[[]]],[[]]]]]=>[[[[[]],[[[]]]]]]
[7,6,3,5,4,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>[[[[[],[]],[[]]]]]=>[[[[[]],[[],[]]]]]
[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[[[[[[]]],[[]]]]]=>[[[[[]],[[[]]]]]]
[7,6,4,1,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>[[[[[],[],[]],[]]]]=>[[[[],[[],[],[]]]]]
[7,6,4,1,2,5,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>[[[[[],[],[]],[]]]]=>[[[[],[[],[],[]]]]]
[7,6,4,1,3,2,5]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>[[[[[],[[]]],[]]]]=>[[[[],[[[]],[]]]]]
[7,6,4,1,3,5,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>[[[[[],[[]]],[]]]]=>[[[[],[[[]],[]]]]]
[7,6,4,1,5,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>[[[[[],[],[]],[]]]]=>[[[[],[[],[],[]]]]]
[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>[[[[[],[[]]],[]]]]=>[[[[],[[[]],[]]]]]
[7,6,4,2,1,3,5]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]=>[[[[],[[],[[]]]]]]
[7,6,4,2,1,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]=>[[[[],[[],[[]]]]]]
[7,6,4,2,3,1,5]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]=>[[[[],[[],[[]]]]]]
[7,6,4,2,3,5,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]=>[[[[],[[],[[]]]]]]
[7,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]=>[[[[],[[],[[]]]]]]
[7,6,4,2,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]=>[[[[],[[],[[]]]]]]
[7,6,4,3,1,2,5]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>[[[[[[],[]]],[]]]]=>[[[[],[[[],[]]]]]]
[7,6,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>[[[[[[],[]]],[]]]]=>[[[[],[[[],[]]]]]]
[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],.]=>[[[[[[[]]]],[]]]]=>[[[[],[[[[]]]]]]]
[7,6,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>[[[[[[[]]]],[]]]]=>[[[[],[[[[]]]]]]]
[7,6,4,3,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>[[[[[[],[]]],[]]]]=>[[[[],[[[],[]]]]]]
[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>[[[[[[[]]]],[]]]]=>[[[[],[[[[]]]]]]]
[7,6,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>[[[[[],[],[]],[]]]]=>[[[[],[[],[],[]]]]]
[7,6,4,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>[[[[[],[[]]],[]]]]=>[[[[],[[[]],[]]]]]
[7,6,4,5,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]=>[[[[],[[],[[]]]]]]
[7,6,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[[[[[[]],[]],[]]]]=>[[[[],[[],[[]]]]]]
[7,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>[[[[[[],[]]],[]]]]=>[[[[],[[[],[]]]]]]
[7,6,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>[[[[[[[]]]],[]]]]=>[[[[],[[[[]]]]]]]
[7,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],.]=>[[[[[],[],[],[]]]]]=>[[[[[],[],[],[]]]]]
[7,6,5,1,2,4,3]=>[[[[.,[.,[[.,.],.]]],.],.],.]=>[[[[[],[],[[]]]]]]=>[[[[[[]],[],[]]]]]
[7,6,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>[[[[[],[[]],[]]]]]=>[[[[[],[[]],[]]]]]
[7,6,5,1,3,4,2]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>[[[[[],[[]],[]]]]]=>[[[[[],[[]],[]]]]]
[7,6,5,1,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],.],.]=>[[[[[],[[],[]]]]]]=>[[[[[[],[]],[]]]]]
[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]=>[[[[[],[[[]]]]]]]=>[[[[[[[]]],[]]]]]
[7,6,5,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>[[[[[[]],[],[]]]]]=>[[[[[],[],[[]]]]]]
[7,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],.]=>[[[[[[]],[[]]]]]]=>[[[[[[]],[[]]]]]]
[7,6,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>[[[[[[]],[],[]]]]]=>[[[[[],[],[[]]]]]]
[7,6,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>[[[[[[]],[],[]]]]]=>[[[[[],[],[[]]]]]]
[7,6,5,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],.]=>[[[[[[]],[[]]]]]]=>[[[[[[]],[[]]]]]]
[7,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],.]=>[[[[[[]],[[]]]]]]=>[[[[[[]],[[]]]]]]
[7,6,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>[[[[[[],[]],[]]]]]=>[[[[[],[[],[]]]]]]
[7,6,5,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>[[[[[[],[]],[]]]]]=>[[[[[],[[],[]]]]]]
[7,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],.]=>[[[[[[[]]],[]]]]]=>[[[[[],[[[]]]]]]]
[7,6,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],.]=>[[[[[[[]]],[]]]]]=>[[[[[],[[[]]]]]]]
[7,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>[[[[[[],[]],[]]]]]=>[[[[[],[[],[]]]]]]
[7,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]=>[[[[[[[]]],[]]]]]=>[[[[[],[[[]]]]]]]
[7,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],.]=>[[[[[[],[],[]]]]]]=>[[[[[[],[],[]]]]]]
[7,6,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],.]=>[[[[[[],[[]]]]]]]=>[[[[[[[]],[]]]]]]
[7,6,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],.]=>[[[[[[[]],[]]]]]]=>[[[[[[],[[]]]]]]]
[7,6,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],.]=>[[[[[[[]],[]]]]]]=>[[[[[[],[[]]]]]]]
[7,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],.]=>[[[[[[[],[]]]]]]]=>[[[[[[[],[]]]]]]]
[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]=>[[[[[[[[]]]]]]]]=>[[[[[[[[]]]]]]]]
[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]=>[[[[[[[[[]]]]]]]]]=>[[[[[[[[[]]]]]]]]]
[7,8,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[[[[[[[[]]]]]]],[]]=>[[],[[[[[[[]]]]]]]]
[8,6,7,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[[[[[[[[]]]]]],[]]]=>[[[],[[[[[[]]]]]]]]
[7,6,8,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[[[[[[[[]]]]]]],[]]=>[[],[[[[[[[]]]]]]]]
[6,7,8,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]=>[[],[],[[[[[[]]]]]]]
[8,7,5,6,4,3,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[[[[[[[[]]]]],[]]]]=>[[[[],[[[[[]]]]]]]]
[7,8,5,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]=>[[],[[],[[[[[]]]]]]]
[8,6,5,7,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[[[[[[[[]]]]]],[]]]=>[[[],[[[[[[]]]]]]]]
[8,5,6,7,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[[[[[[[]]]]],[],[]]]=>[[[],[],[[[[[]]]]]]]
[7,6,5,8,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[[[[[[[[]]]]]]],[]]=>[[],[[[[[[[]]]]]]]]
[6,7,5,8,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]=>[[],[],[[[[[[]]]]]]]
[7,5,6,8,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]=>[[],[[],[[[[[]]]]]]]
[6,5,7,8,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]=>[[],[],[[[[[[]]]]]]]
[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]=>[[],[],[],[[[[[]]]]]]
[8,7,6,4,5,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[[[[[[[[]]]],[]]]]]=>[[[[[],[[[[]]]]]]]]
[7,8,6,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]=>[[],[[[],[[[[]]]]]]]
[8,6,7,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[[[[[[]]]],[]],[]]]=>[[[],[[],[[[[]]]]]]]
[7,6,8,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]=>[[],[[[],[[[[]]]]]]]
[8,7,5,4,6,3,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[[[[[[[[]]]]],[]]]]=>[[[[],[[[[[]]]]]]]]
[8,7,4,5,6,3,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[[[[[[[]]]],[],[]]]]=>[[[[],[],[[[[]]]]]]]
[8,6,5,4,7,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[[[[[[[[]]]]]],[]]]=>[[[],[[[[[[]]]]]]]]
[8,5,6,4,7,3,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[[[[[[[]]]]],[],[]]]=>[[[],[],[[[[[]]]]]]]
[8,6,4,5,7,3,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[[[[[[]]]],[]],[]]]=>[[[],[[],[[[[]]]]]]]
[8,4,5,6,7,3,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[[[[[[]]]],[],[],[]]]=>[[[],[],[],[[[[]]]]]]
[7,6,5,4,8,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[[[[[[[[]]]]]]],[]]=>[[],[[[[[[[]]]]]]]]
[6,7,5,4,8,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]=>[[],[],[[[[[[]]]]]]]
[7,5,6,4,8,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]=>[[],[[],[[[[[]]]]]]]
[6,5,7,4,8,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[[[[[[]]]]]],[],[]]=>[[],[],[[[[[[]]]]]]]
[5,6,7,4,8,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[[[[[]]]]],[],[],[]]=>[[],[],[],[[[[[]]]]]]
[7,6,4,5,8,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[[[[[[]]]],[]]],[]]=>[[],[[[],[[[[]]]]]]]
[6,7,4,5,8,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]=>[[],[],[[],[[[[]]]]]]
[7,5,4,6,8,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[[[[[[]]]]],[]],[]]=>[[],[[],[[[[[]]]]]]]
[7,4,5,6,8,3,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]=>[[],[[],[],[[[[]]]]]]
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[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[]]]
[2,1,7,5,4,8,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[[[]],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[[]]]
[3,8,1,5,4,7,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[],[]],[[[]],[[]]]]=>[[[[]],[[]]],[[],[]]]
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[5,8,6,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[[[],[[]],[]],[[],[]]]=>[[[],[]],[[],[[]],[]]]
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[2,1,8,6,7,4,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[[[]],[[[[]],[]],[]]]=>[[[],[[],[[]]]],[[]]]
[2,1,7,6,8,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[[[]],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[[]]]
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[2,1,6,8,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[[]],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[[]]]
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[6,4,7,1,2,3,5,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]=>[[],[],[[],[[],[],[]]]]
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[7,4,6,1,2,3,5,8]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[],[]],[[]]],[]]=>[[],[[[]],[[],[],[]]]]
[3,2,8,1,4,5,6,7]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[[[[]]],[[],[],[],[]]]=>[[[],[],[],[]],[[[]]]]
[4,2,8,1,3,5,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[[[[]],[]],[[],[],[]]]=>[[[],[],[]],[[],[[]]]]
[5,4,8,1,2,3,6,7]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[[[[],[],[]]],[[],[]]]=>[[[],[]],[[[],[],[]]]]
[6,2,8,1,3,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[[[[]],[],[],[]],[[]]]=>[[[]],[[],[],[],[[]]]]
[6,3,8,1,2,4,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]=>[[[]],[[],[],[[],[]]]]
[6,4,8,1,2,3,5,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[],[]],[]],[[]]]=>[[[]],[[],[[],[],[]]]]
[6,5,8,1,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[[[[],[],[],[]]],[[]]]=>[[[]],[[[],[],[],[]]]]
[7,2,8,1,3,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[[[[]],[],[],[],[]],[]]=>[[],[[],[],[],[],[[]]]]
[7,3,8,1,2,4,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[],[],[]],[]]=>[[],[[],[],[],[[],[]]]]
[7,4,8,1,2,3,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[[[[],[],[]],[],[]],[]]=>[[],[[],[],[[],[],[]]]]
[7,5,8,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[],[],[],[]],[]],[]]=>[[],[[],[[],[],[],[]]]]
[8,2,4,1,3,5,6,7]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[[[[]],[[]],[],[],[]]]=>[[[],[],[],[[]],[[]]]]
[8,3,5,1,2,4,6,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>[[[[],[]],[[]],[],[]]]=>[[[],[],[[]],[[],[]]]]
[8,3,6,1,2,4,5,7]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[[[[],[]],[[],[]],[]]]=>[[[],[[],[]],[[],[]]]]
[8,3,7,1,2,4,5,6]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>[[[[],[]],[[],[],[]]]]=>[[[[],[],[]],[[],[]]]]
[8,4,7,1,2,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>[[[[],[],[]],[[],[]]]]=>[[[[],[]],[[],[],[]]]]
[8,5,7,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[[[[],[],[],[]],[[]]]]=>[[[[]],[[],[],[],[]]]]
[3,2,5,7,1,4,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]=>[[],[[]],[[]],[[[]]]]
[4,2,5,7,1,3,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[]]]]
[5,2,4,7,1,3,6,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[]],[[]]],[[]],[]]=>[[],[[]],[[[]],[[]]]]
[4,2,6,7,1,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]=>[[],[],[[]],[[],[[]]]]
[5,2,6,7,1,3,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]=>[[],[],[],[[],[],[[]]]]
[5,3,6,7,1,2,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]=>[[],[],[],[[],[[],[]]]]
[6,2,5,7,1,3,4,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[[[[]],[[],[]]],[],[]]=>[[],[],[[[],[]],[[]]]]
[6,3,5,7,1,2,4,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]=>[[],[],[[[]],[[],[]]]]
[3,2,5,8,1,4,6,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>[[[[]]],[[]],[[],[]]]=>[[[],[]],[[]],[[[]]]]
[4,2,5,8,1,3,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>[[[[]],[]],[],[[],[]]]=>[[[],[]],[],[[],[[]]]]
[4,3,5,8,1,2,6,7]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[[[[],[]]],[],[[],[]]]=>[[[],[]],[],[[[],[]]]]
[5,2,4,8,1,3,6,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[[[[]],[[]]],[[],[]]]=>[[[],[]],[[[]],[[]]]]
[3,2,6,8,1,4,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]=>[[[]],[[],[]],[[[]]]]
[4,2,6,8,1,3,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]=>[[[]],[[]],[[],[[]]]]
[5,2,6,8,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[[[[]],[],[]],[],[[]]]=>[[[]],[],[[],[],[[]]]]
[6,2,4,8,1,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[[[]],[[]],[]],[[]]]=>[[[]],[[],[[]],[[]]]]
[6,3,4,8,1,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]=>[[[]],[[],[],[[],[]]]]
[6,2,5,8,1,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[[[[]],[[],[]]],[[]]]=>[[[]],[[[],[]],[[]]]]
[6,3,5,8,1,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[[],[]],[[]]],[[]]]=>[[[]],[[[]],[[],[]]]]
[6,4,5,8,1,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[],[]],[]],[[]]]=>[[[]],[[],[[],[],[]]]]
[3,2,7,8,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[[[[]]],[[],[],[]],[]]=>[[],[[],[],[]],[[[]]]]
[4,3,7,8,1,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[[],[]]],[[],[]],[]]=>[[],[[],[]],[[[],[]]]]
[5,3,7,8,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]
[5,4,7,8,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[],[],[]]],[[]],[]]=>[[],[[]],[[[],[],[]]]]
[6,2,7,8,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]=>[[],[],[[],[],[],[[]]]]
[6,3,7,8,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]=>[[],[],[[],[],[[],[]]]]
[6,4,7,8,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]=>[[],[],[[],[[],[],[]]]]
[7,2,4,8,1,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[]],[[]],[],[]],[]]=>[[],[[],[],[[]],[[]]]]
[7,3,4,8,1,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[],[],[]],[]]=>[[],[[],[],[],[[],[]]]]
[7,3,5,8,1,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[]],[]],[]]=>[[],[[],[[]],[[],[]]]]
[7,4,5,8,1,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[[[[],[],[]],[],[]],[]]=>[[],[[],[],[[],[],[]]]]
[7,4,6,8,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[],[]],[[]]],[]]=>[[],[[[]],[[],[],[]]]]
[8,3,4,6,1,2,5,7]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>[[[[],[]],[],[[]],[]]]=>[[[],[[]],[],[[],[]]]]
[8,3,5,6,1,2,4,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>[[[[],[]],[[]],[],[]]]=>[[[],[],[[]],[[],[]]]]
[8,2,4,7,1,3,5,6]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>[[[[]],[[]],[[],[]]]]=>[[[[],[]],[[]],[[]]]]
[8,2,5,7,1,3,4,6]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>[[[[]],[[],[]],[[]]]]=>[[[[]],[[],[]],[[]]]]
[8,3,5,7,1,2,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>[[[[],[]],[[]],[[]]]]=>[[[[]],[[]],[[],[]]]]
[8,2,6,7,1,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>[[[[]],[[],[],[]],[]]]=>[[[],[[],[],[]],[[]]]]
[8,4,6,7,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[[[[],[],[]],[[]],[]]]=>[[[],[[]],[[],[],[]]]]
[4,6,2,5,1,3,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]=>[[],[],[[]],[[],[[]]]]
[4,6,3,5,1,2,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]=>[[],[],[[]],[[[],[]]]]
[5,6,2,4,1,3,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]=>[[],[],[],[[[]],[[]]]]
[3,7,2,5,1,4,6,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]=>[[],[[],[[]]],[[[]]]]
[4,7,3,5,1,2,6,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[[],[]]],[[],[]],[]]=>[[],[[],[]],[[[],[]]]]
[5,7,2,4,1,3,6,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[]],[[]]],[[]],[]]=>[[],[[]],[[[]],[[]]]]
[3,7,2,6,1,4,5,8]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[[[[]]],[[[],[]]],[]]=>[[],[[[],[]]],[[[]]]]
[4,7,3,6,1,2,5,8]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[]]],[[[]]],[]]=>[[],[[[]]],[[[],[]]]]
[5,7,2,6,1,3,4,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]=>[[],[[]],[[],[],[[]]]]
[6,7,2,5,1,3,4,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[[[[]],[[],[]]],[],[]]=>[[],[],[[[],[]],[[]]]]
[4,8,2,5,1,3,6,7]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[[[[]],[]],[[],[],[]]]=>[[[],[],[]],[[],[[]]]]
[5,8,2,4,1,3,6,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[[[[]],[[]]],[[],[]]]=>[[[],[]],[[[]],[[]]]]
[5,8,3,4,1,2,6,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[]],[[],[]]]=>[[[],[]],[[],[[],[]]]]
[3,8,2,6,1,4,5,7]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[[[[]]],[[[],[]],[]]]=>[[[],[[],[]]],[[[]]]]
[5,8,3,6,1,2,4,7]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[]],[[],[]]]=>[[[],[]],[[],[[],[]]]]
[5,8,4,6,1,2,3,7]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[[[[],[],[]]],[[],[]]]=>[[[],[]],[[[],[],[]]]]
[6,8,3,5,1,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[[],[]],[[]]],[[]]]=>[[[]],[[[]],[[],[]]]]
[3,8,2,7,1,4,5,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[[[[]]],[[[],[],[]]]]=>[[[[],[],[]]],[[[]]]]
[4,8,2,7,1,3,5,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[[[[]],[]],[[[],[]]]]=>[[[[],[]]],[[],[[]]]]
[4,8,3,7,1,2,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[[[[],[]]],[[[],[]]]]=>[[[[],[]]],[[[],[]]]]
[5,8,2,7,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[[[]],[],[]],[[[]]]]=>[[[[]]],[[],[],[[]]]]
[5,8,3,7,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]=>[[[[]]],[[],[[],[]]]]
[6,8,2,7,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[[[[]],[],[],[]],[[]]]=>[[[]],[[],[],[],[[]]]]
[6,8,3,7,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]=>[[[]],[[],[],[[],[]]]]
[6,8,5,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[[[[],[],[],[]]],[[]]]=>[[[]],[[[],[],[],[]]]]
[7,8,2,4,1,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[]],[[]],[],[]],[]]=>[[],[[],[],[[]],[[]]]]
[7,8,2,5,1,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[[[[]],[[],[]],[]],[]]=>[[],[[],[[],[]],[[]]]]
[7,8,3,5,1,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[]],[]],[]]=>[[],[[],[[]],[[],[]]]]
[7,8,4,6,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[],[]],[[]]],[]]=>[[],[[[]],[[],[],[]]]]
[4,3,2,6,1,5,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]=>[[],[],[[]],[[[[]]]]]
[5,3,2,6,1,4,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]=>[[],[],[],[[],[[[]]]]]
[5,4,2,6,1,3,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[[[[]],[]]],[],[],[]]=>[[],[],[],[[[],[[]]]]]
[6,3,2,5,1,4,7,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]=>[[],[],[[[]],[[[]]]]]
[6,5,2,4,1,3,7,8]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[[[[[]],[[]]]],[],[]]=>[[],[],[[[[]],[[]]]]]
[4,3,2,7,1,5,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]=>[[],[[],[]],[[[[]]]]]
[5,3,2,7,1,4,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]=>[[],[[]],[[],[[[]]]]]
[6,3,2,7,1,4,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]=>[[],[],[[],[],[[[]]]]]
[6,4,2,7,1,3,5,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]=>[[],[],[[],[[],[[]]]]]
[6,4,3,7,1,2,5,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]=>[[],[],[[],[[[],[]]]]]
[6,5,2,7,1,3,4,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[[[[]],[],[]]],[],[]]=>[[],[],[[[],[],[[]]]]]
[6,5,3,7,1,2,4,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[[[[[],[]],[]]],[],[]]=>[[],[],[[[],[[],[]]]]]
[7,3,2,5,1,4,6,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[[[[]]],[[]],[]],[]]=>[[],[[],[[]],[[[]]]]]
[7,4,2,5,1,3,6,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]=>[[],[[],[],[[],[[]]]]]
[7,3,2,6,1,4,5,8]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[[[[[]]],[[],[]]],[]]=>[[],[[[],[]],[[[]]]]]
[7,4,2,6,1,3,5,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]=>[[],[[[]],[[],[[]]]]]
[7,4,3,6,1,2,5,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[[[],[]]],[[]]],[]]=>[[],[[[]],[[[],[]]]]]
[7,5,2,6,1,3,4,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]=>[[],[[],[[],[],[[]]]]]
[7,5,3,6,1,2,4,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]=>[[],[[],[[],[[],[]]]]]
[7,6,3,5,1,2,4,8]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[[[[[],[]],[[]]]],[]]=>[[],[[[[]],[[],[]]]]]
[4,3,2,8,1,5,6,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[[[[[]]]],[[],[],[]]]=>[[[],[],[]],[[[[]]]]]
[5,3,2,8,1,4,6,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[[[[]]],[]],[[],[]]]=>[[[],[]],[[],[[[]]]]]
[6,3,2,8,1,4,5,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[]]],[],[]],[[]]]=>[[[]],[[],[],[[[]]]]]
[6,4,2,8,1,3,5,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[[[[]],[]],[]],[[]]]=>[[[]],[[],[[],[[]]]]]
[6,4,3,8,1,2,5,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[[[],[]]],[]],[[]]]=>[[[]],[[],[[[],[]]]]]
[6,5,2,8,1,3,4,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[[[[[]],[],[]]],[[]]]=>[[[]],[[[],[],[[]]]]]
[6,5,3,8,1,2,4,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[[[],[]],[]]],[[]]]=>[[[]],[[[],[[],[]]]]]
[7,3,2,8,1,4,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[[[[[]]],[],[],[]],[]]=>[[],[[],[],[],[[[]]]]]
[7,4,2,8,1,3,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]=>[[],[[],[],[[],[[]]]]]
[7,4,3,8,1,2,5,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[[[[[],[]]],[],[]],[]]=>[[],[[],[],[[[],[]]]]]
[7,5,3,8,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]=>[[],[[],[[],[[],[]]]]]
[7,5,4,8,1,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[[[[[],[],[]]],[]],[]]=>[[],[[],[[[],[],[]]]]]
[7,6,2,8,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[[[[[]],[],[],[]]],[]]=>[[],[[[],[],[],[[]]]]]
[8,3,2,5,1,4,6,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[[[[[]]],[[]],[],[]]]=>[[[],[],[[]],[[[]]]]]
[8,4,2,5,1,3,6,7]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[[[[[]],[]],[],[],[]]]=>[[[],[],[],[[],[[]]]]]
[8,3,2,6,1,4,5,7]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[[[[[]]],[[],[]],[]]]=>[[[],[[],[]],[[[]]]]]
[8,4,2,6,1,3,5,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[[[[[]],[]],[[]],[]]]=>[[[],[[]],[[],[[]]]]]
[8,5,3,6,1,2,4,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[[[[[],[]],[]],[],[]]]=>[[[],[],[[],[[],[]]]]]
[8,6,2,4,1,3,5,7]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[[[[[]],[[]],[]],[]]]=>[[[],[[],[[]],[[]]]]]
[8,6,2,5,1,3,4,7]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>[[[[[]],[[],[]]],[]]]=>[[[],[[[],[]],[[]]]]]
[8,3,2,7,1,4,5,6]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>[[[[[]]],[[],[],[]]]]=>[[[[],[],[]],[[[]]]]]
[8,4,2,7,1,3,5,6]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>[[[[[]],[]],[[],[]]]]=>[[[[],[]],[[],[[]]]]]
[8,4,3,7,1,2,5,6]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>[[[[[],[]]],[[],[]]]]=>[[[[],[]],[[[],[]]]]]
[8,5,2,7,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[[[[[]],[],[]],[[]]]]=>[[[[]],[[],[],[[]]]]]
[8,5,3,7,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[[[[[],[]],[]],[[]]]]=>[[[[]],[[],[[],[]]]]]
[8,6,3,7,1,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>[[[[[],[]],[],[]],[]]]=>[[[],[[],[],[[],[]]]]]
[8,7,2,4,1,3,5,6]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[[[[[]],[[]],[],[]]]]=>[[[[],[],[[]],[[]]]]]
[8,7,2,5,1,3,4,6]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>[[[[[]],[[],[]],[]]]]=>[[[[],[[],[]],[[]]]]]
[8,7,3,5,1,2,4,6]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[[[[[],[]],[[]],[]]]]=>[[[[],[[]],[[],[]]]]]
[8,7,2,6,1,3,4,5]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[[[[[]],[[],[],[]]]]]=>[[[[[],[],[]],[[]]]]]
[8,7,3,6,1,2,4,5]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>[[[[[],[]],[[],[]]]]]=>[[[[[],[]],[[],[]]]]]
[8,7,4,6,1,2,3,5]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[[[[[],[],[]],[[]]]]]=>[[[[[]],[[],[],[]]]]]
[4,6,3,5,8,1,2,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]=>[[[]],[[]],[[[],[]]]]
[5,6,2,4,8,1,3,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[[[[]],[[]]],[],[[]]]=>[[[]],[],[[[]],[[]]]]
[4,7,2,5,8,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[]],[]],[[],[]],[]]=>[[],[[],[]],[[],[[]]]]
[4,7,3,5,8,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[[],[]]],[[],[]],[]]=>[[],[[],[]],[[[],[]]]]
[5,7,2,4,8,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[]],[[]]],[[]],[]]=>[[],[[]],[[[]],[[]]]]
[5,7,3,4,8,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]
[4,7,3,6,8,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[]]],[[[]]],[]]=>[[],[[[]]],[[[],[]]]]
[5,7,2,6,8,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]=>[[],[[]],[[],[],[[]]]]
[5,7,4,6,8,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[],[],[]]],[[]],[]]=>[[],[[]],[[[],[],[]]]]
[6,7,3,4,8,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]=>[[],[],[[],[],[[],[]]]]
[6,7,3,5,8,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]=>[[],[],[[[]],[[],[]]]]
[3,8,2,5,7,1,4,6]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[[[[]]],[[[]],[[]]]]=>[[[[]],[[]]],[[[]]]]
[4,8,3,5,7,1,2,6]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[[[[],[]]],[[],[[]]]]=>[[[[]],[]],[[[],[]]]]
[5,8,2,4,7,1,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]=>[[[[]]],[[[]],[[]]]]
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[5,8,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[[[[]],[],[]],[[],[]]]=>[[[],[]],[[],[],[[]]]]
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[7,5,4,8,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]=>[[],[[],[[[],[[]]]]]]
[7,6,3,8,2,5,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>[[[[[[]]],[[]]]],[]]=>[[],[[[[]],[[[]]]]]]
[7,6,4,8,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[[[[[]],[]],[]]],[]]=>[[],[[[],[[],[[]]]]]]
[7,6,5,8,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[[[[[[]],[[]]]]],[]]=>[[],[[[[[]],[[]]]]]]
[8,4,3,7,2,6,1,5]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[[[[[[]]]],[[[]]]]]=>[[[[[]]],[[[[]]]]]]
[8,5,3,7,2,6,1,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]=>[[[[]],[[],[[[]]]]]]
[8,5,4,7,2,6,1,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]=>[[[[]],[[[],[[]]]]]]
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[4,1,2,8,3,7,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[[[],[],[]],[[[],[]]]]=>[[[[],[]]],[[],[],[]]]
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[4,1,2,7,6,3,8,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[],[]],[[[]]],[]]=>[[],[[[]]],[[],[],[]]]
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[8,1,2,5,7,3,4,6]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]=>[[[],[],[[],[]],[[]]]]=>[[[[]],[[],[]],[],[]]]
[8,1,2,7,6,3,4,5]=>[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[[[],[],[[[],[],[]]]]]=>[[[[[],[],[]]],[],[]]]
[7,1,2,5,6,3,8,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[[[],[],[[],[]],[]],[]]=>[[],[[],[[],[]],[],[]]]
[4,1,2,5,8,7,3,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[],[]],[],[[[]]]]=>[[[[]]],[],[[],[],[]]]
[4,1,2,8,6,7,3,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[[[],[],[]],[[[]],[]]]=>[[[],[[]]],[[],[],[]]]
[8,1,2,5,6,7,3,4]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[[[],[],[[],[]],[],[]]]=>[[[],[],[[],[]],[],[]]]
[3,1,8,2,4,7,5,6]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[[[],[]],[[],[[],[]]]]=>[[[[],[]],[]],[[],[]]]
[3,1,8,2,6,4,5,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[],[]],[[[],[]],[]]]=>[[[],[[],[]]],[[],[]]]
[3,1,8,2,7,4,5,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>[[[],[]],[[[],[],[]]]]=>[[[[],[],[]]],[[],[]]]
[3,1,7,2,6,4,8,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[],[]]],[]]=>[[],[[[],[]]],[[],[]]]
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[7,1,4,2,3,5,8,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[[[],[[],[]],[],[]],[]]=>[[],[[],[],[[],[]],[]]]
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[7,1,5,2,3,4,8,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[[[],[[],[],[]],[]],[]]=>[[],[[],[[],[],[]],[]]]
[8,1,7,2,3,4,5,6]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]=>[[[],[[],[],[],[],[]]]]=>[[[[],[],[],[],[]],[]]]
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[5,1,4,2,7,3,8,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[[[],[[],[]]],[[]],[]]=>[[],[[]],[[[],[]],[]]]
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[3,1,8,6,2,4,5,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[],[]],[[[],[]],[]]]=>[[[],[[],[]]],[[],[]]]
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[8,1,4,5,2,7,3,6]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>[[[],[[],[]],[],[[]]]]=>[[[[]],[],[[],[]],[]]]
[8,1,4,6,2,7,3,5]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[[[],[[],[]],[[]],[]]]=>[[[],[[]],[[],[]],[]]]
[8,1,6,5,2,7,3,4]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[[[],[[[],[],[]]],[]]]=>[[[],[[[],[],[]]],[]]]
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[3,1,4,8,7,2,5,6]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[[[],[]],[],[[[],[]]]]=>[[[[],[]]],[],[[],[]]]
[3,1,4,7,6,2,8,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[[[],[]],[],[[[]]],[]]=>[[],[[[]]],[],[[],[]]]
[3,1,8,5,6,2,4,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[[[],[]],[[[]],[],[]]]=>[[[],[],[[]]],[[],[]]]
[3,1,8,5,7,2,4,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[],[]],[[[]],[[]]]]=>[[[[]],[[]]],[[],[]]]
[3,1,8,7,6,2,4,5]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[[[],[]],[[[[],[]]]]]=>[[[[[],[]]]],[[],[]]]
[3,1,7,5,6,2,8,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[]]]
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[8,1,7,5,6,2,3,4]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]=>[[[],[[[],[],[]],[]]]]=>[[[[],[[],[],[]]],[]]]
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[3,1,4,8,6,7,2,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[[[],[]],[],[[[]],[]]]=>[[[],[[]]],[],[[],[]]]
[3,1,8,5,6,7,2,4]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[[[],[]],[[[]],[],[]]]=>[[[],[],[[]]],[[],[]]]
[8,1,4,5,6,7,2,3]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[[[],[[],[]],[],[],[]]]=>[[[],[],[],[[],[]],[]]]
[2,8,1,3,4,7,5,6]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>[[[]],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[[]]]
[2,8,1,3,6,4,5,7]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[[[]],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[[]]]
[2,8,1,3,7,4,5,6]=>[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>[[[]],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[[]]]
[2,7,1,3,6,4,8,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>[[[]],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[[]]]
[2,5,1,3,8,7,4,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[[]],[[],[]],[[[]]]]=>[[[[]]],[[],[]],[[]]]
[2,8,1,3,6,7,4,5]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[[[]],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[[]]]
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[5,3,4,1,7,2,8,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]
[8,3,4,1,6,2,5,7]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>[[[[],[]],[],[[]],[]]]=>[[[],[[]],[],[[],[]]]]
[8,3,4,1,7,2,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>[[[[],[]],[],[[],[]]]]=>[[[[],[]],[],[[],[]]]]
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[8,3,5,1,7,2,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>[[[[],[]],[[]],[[]]]]=>[[[[]],[[]],[[],[]]]]
[7,3,8,1,6,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[],[]]],[]]=>[[],[[[],[]],[[],[]]]]
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[8,5,4,1,7,2,3,6]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>[[[[[],[],[]]],[[]]]]=>[[[[]],[[[],[],[]]]]]
[7,8,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[],[]],[[]]],[]]=>[[],[[[]],[[],[],[]]]]
[7,8,5,1,6,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[],[],[],[]],[]],[]]=>[[],[[],[[],[],[],[]]]]
[7,5,4,1,6,2,8,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[[[[[],[],[]]],[]],[]]=>[[],[[],[[[],[],[]]]]]
[5,3,4,1,6,8,2,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[[[[],[]],[]],[],[[]]]=>[[[]],[],[[],[[],[]]]]
[5,3,4,1,8,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[[],[]],[]],[[[]]]]=>[[[[]]],[[],[[],[]]]]
[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>[[[[],[]],[],[[]],[]]]=>[[[],[[]],[],[[],[]]]]
[8,3,5,1,6,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>[[[[],[]],[[]],[],[]]]=>[[[],[],[[]],[[],[]]]]
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[5,3,4,1,6,7,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]=>[[],[],[],[[],[[],[]]]]
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[2,3,8,6,1,4,5,7]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>[[[]],[],[[[],[]],[]]]=>[[[],[[],[]]],[],[[]]]
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[2,7,8,5,1,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[[[]],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[[]]]
[2,7,8,6,1,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[[[]],[[[],[],[]]],[]]=>[[],[[[],[],[]]],[[]]]
[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[[[]],[[[[],[]]]],[]]=>[[],[[[[],[]]]],[[]]]
[2,6,4,5,1,8,3,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[[]]]
[2,8,4,5,1,7,3,6]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>[[[]],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[[]]]
[2,8,4,6,1,7,3,5]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[[[]],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[[]]]
[2,8,6,5,1,7,3,4]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>[[[]],[[[[],[]]],[]]]=>[[[],[[[],[]]]],[[]]]
[2,6,4,5,1,7,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[[]]]
[7,3,4,5,1,2,8,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[[[[],[]],[],[],[]],[]]=>[[],[[],[],[],[[],[]]]]
[7,3,4,6,1,2,8,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[[[[],[]],[],[[]]],[]]=>[[],[[[]],[],[[],[]]]]
[8,3,6,5,1,2,4,7]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[[[[],[]],[[[]]],[]]]=>[[[],[[[]]],[[],[]]]]
[7,3,8,5,1,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[]],[]],[]]=>[[],[[],[[]],[[],[]]]]
[7,3,8,6,1,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[],[]]],[]]=>[[],[[[],[]],[[],[]]]]
[7,3,6,5,1,2,8,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[[[[],[]],[[[]]]],[]]=>[[],[[[[]]],[[],[]]]]
[7,6,4,5,1,2,8,3]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[[[[[],[],[]],[]]],[]]=>[[],[[[],[[],[],[]]]]]
[6,3,4,5,1,8,2,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]=>[[[]],[[],[],[[],[]]]]
[8,3,4,5,1,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>[[[[],[]],[],[],[[]]]]=>[[[[]],[],[],[[],[]]]]
[8,3,4,6,1,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>[[[[],[]],[],[[]],[]]]=>[[[],[[]],[],[[],[]]]]
[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[[[[],[]],[[[]]],[]]]=>[[[],[[[]]],[[],[]]]]
[8,6,4,5,1,7,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[[[[[],[],[]],[]],[]]]=>[[[],[[],[[],[],[]]]]]
[6,3,4,5,1,7,8,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]=>[[],[],[[],[],[[],[]]]]
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[2,3,8,5,7,1,4,6]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[[[]],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[[]]]
[2,3,8,7,6,1,4,5]=>[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[[[]],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[[]]]
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[2,8,4,7,6,1,3,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[[[]],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[[]]]
[2,8,7,5,6,1,3,4]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[[[]],[[[[],[]],[]]]]=>[[[[],[[],[]]]],[[]]]
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[8,3,4,7,6,1,2,5]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>[[[[],[]],[],[[[]]]]]=>[[[[[]]],[],[[],[]]]]
[8,3,7,5,6,1,2,4]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>[[[[],[]],[[[]],[]]]]=>[[[[],[[]]],[[],[]]]]
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[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[[[],[],[],[],[],[],[],[]]]=>[[[],[],[],[],[],[],[],[]]]
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[8,1,2,3,9,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>[[[],[],[],[],[],[],[]],[]]=>[[],[[],[],[],[],[],[],[]]]
[7,1,2,8,3,4,5,9,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>[[[],[],[],[],[],[]],[],[]]=>[[],[],[[],[],[],[],[],[]]]
[9,1,8,2,3,4,5,6,7]=>[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.]=>[[[],[[],[],[],[],[],[]]]]=>[[[[],[],[],[],[],[]],[]]]
[7,1,8,9,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>[[[],[],[],[],[],[]],[],[]]=>[[],[],[[],[],[],[],[],[]]]
[3,1,4,5,6,7,9,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]=>[[[],[]],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[[],[]]]
[9,3,1,2,4,5,6,7,8]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]=>[[[[],[]],[],[],[],[],[]]]=>[[[],[],[],[],[],[[],[]]]]
[9,7,1,2,3,4,5,6,8]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]=>[[[[],[],[],[],[],[]],[]]]=>[[[],[[],[],[],[],[],[]]]]
[8,9,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>[[[],[],[],[],[],[],[]],[]]=>[[],[[],[],[],[],[],[],[]]]
[9,7,1,2,3,4,8,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]=>[[[[],[],[],[],[],[]],[]]]=>[[[],[[],[],[],[],[],[]]]]
[9,3,4,1,2,5,6,7,8]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]=>[[[[],[]],[],[],[],[],[]]]=>[[[],[],[],[],[],[[],[]]]]
[9,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]=>[[[[],[],[],[],[],[]],[]]]=>[[[],[[],[],[],[],[],[]]]]
[2,3,4,5,6,9,1,7,8]=>[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[[]],[],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[],[[]]]
[9,3,4,5,6,7,1,2,8]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]=>[[[[],[]],[],[],[],[],[]]]=>[[[],[],[],[],[],[[],[]]]]
[2,3,4,5,6,7,9,1,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[[[]],[],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[],[[]]]
[9,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]=>[[[[],[]],[],[],[],[],[]]]=>[[[],[],[],[],[],[[],[]]]]
[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[[]],[],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[],[[]]]
[3,5,2,6,1,4,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]=>[[[]],[],[[]],[[[]]]]
[3,5,2,6,4,1,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]=>[[[]],[],[[]],[[[]]]]
[3,5,2,7,4,8,1,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]=>[[],[[]],[[]],[[[]]]]
[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]=>[[],[[]],[[]],[[[]]]]
[4,5,7,2,3,8,6,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[]]]]
[4,5,7,2,3,8,1,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[]]]]
[4,5,6,2,3,1,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[]],[]],[],[],[[]]]=>[[[]],[],[],[[],[[]]]]
[4,5,6,2,1,3,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[]],[]],[],[],[[]]]=>[[[]],[],[],[[],[[]]]]
[3,5,1,6,4,2,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]=>[[[]],[],[[]],[[],[]]]
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[4,6,7,2,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]=>[[],[],[[]],[[],[[]]]]
[4,5,7,2,1,8,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[]]]]
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[2,1,5,7,3,8,6,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[]],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[[]]]
[2,1,6,7,8,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[[[]],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[[]]]
[3,6,1,7,8,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[]]],[],[]]=>[[],[],[[[]]],[[],[]]]
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[3,6,1,7,8,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[]]],[],[]]=>[[],[],[[[]]],[[],[]]]
[2,1,6,7,8,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[[[]],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[[]]]
[3,6,1,7,8,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[]]],[],[]]=>[[],[],[[[]]],[[],[]]]
[4,6,7,1,8,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[],[[]]],[[]],[],[]]=>[[],[],[[]],[[[]],[]]]
[5,6,7,8,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[[[],[[[]]]],[],[],[]]=>[[],[],[],[[[[]]],[]]]
[5,6,7,8,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[[[[],[[]]]],[],[],[]]=>[[],[],[],[[[[]],[]]]]
[6,7,8,9,10,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>[[[[[[[]]]]]],[],[],[],[]]=>[[],[],[],[],[[[[[[]]]]]]]
[6,5,8,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[[[],[]],[]]],[[]]]=>[[[]],[[[],[[],[]]]]]
[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[],[]],[],[]]=>[[],[],[[],[]],[[],[]]]
[2,6,7,4,5,1,8,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[[]]]
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[5,4,3,8,7,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[[[[[],[]]]],[[[]]]]=>[[[[]]],[[[[],[]]]]]
[6,4,8,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[[[],[]]],[]],[[]]]=>[[[]],[[],[[[],[]]]]]
[6,3,8,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]=>[[[]],[[],[],[[],[]]]]
[5,3,4,8,6,7,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[[[[],[]],[]],[[],[]]]=>[[[],[]],[[],[[],[]]]]
[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[[[[],[]]],[],[],[[]]]=>[[[]],[],[],[[[],[]]]]
[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]=>[[[]],[],[[]],[[[]]]]
[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[]],[]],[],[],[[]]]=>[[[]],[],[],[[],[[]]]]
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[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[[[]],[[]],[]],[[]]]=>[[[]],[[],[[]],[[]]]]
[7,8,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[]],[[]],[],[]],[]]=>[[],[[],[],[[]],[[]]]]
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[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[[[],[[]]],[[[]],[]]]=>[[[],[[]]],[[[]],[]]]
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[6,3,8,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[[[[]]],[[]]],[[]]]=>[[[]],[[[]],[[[]]]]]
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[5,4,2,8,7,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]=>[[[[]]],[[[],[[]]]]]
[4,5,2,7,8,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[]]]]
[2,5,3,7,1,6,8,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[[[]],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[[]]]
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[8,6,4,1,7,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[[[[[],[],[]],[]],[]]]=>[[[],[[],[[],[],[]]]]]
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[6,7,4,1,8,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]=>[[],[],[[],[[],[],[]]]]
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[7,3,1,6,8,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[],[]]],[]]=>[[],[[[],[]],[[],[]]]]
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[4,3,1,2,7,8,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[[],[]]],[[],[]],[]]=>[[],[[],[]],[[[],[]]]]
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[7,3,1,8,6,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[],[]]],[]]=>[[],[[[],[]],[[],[]]]]
[8,4,7,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>[[[[],[],[]],[[[]]]]]=>[[[[[]]],[[],[],[]]]]
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[7,5,8,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[],[],[],[]],[]],[]]=>[[],[[],[[],[],[],[]]]]
[8,5,7,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[[[[],[],[],[]],[[]]]]=>[[[[]],[[],[],[],[]]]]
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[6,4,8,1,7,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[],[]],[]],[[]]]=>[[[]],[[],[[],[],[]]]]
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[5,6,8,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[[[[],[]],[]],[],[[]]]=>[[[]],[],[[],[[],[]]]]
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[4,1,5,8,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[],[]],[],[[[]]]]=>[[[[]]],[],[[],[],[]]]
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[4,6,8,2,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]=>[[[]],[[]],[[],[[]]]]
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[4,2,5,8,7,1,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[[[]],[]],[],[[[]]]]=>[[[[]]],[],[[],[[]]]]
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[8,4,7,1,3,2,6,5]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[[[[],[[]]],[[[]]]]]=>[[[[[]]],[[[]],[]]]]
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[8,3,7,1,5,2,6,4]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>[[[[],[]],[[[]],[]]]]=>[[[[],[[]]],[[],[]]]]
[7,3,8,1,5,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[]],[]],[]]=>[[],[[],[[]],[[],[]]]]
[6,2,7,3,8,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[[[[]],[],[[]]],[],[]]=>[[],[],[[[]],[],[[]]]]
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[4,1,8,3,7,2,6,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[[[],[[]]],[[[[]]]]]=>[[[[[]]]],[[[]],[]]]
[3,1,8,4,7,2,6,5]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[[[],[]],[[],[[[]]]]]=>[[[[[]]],[]],[[],[]]]
[2,1,8,4,7,3,6,5]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[[[]],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[[]]]
[2,1,7,4,8,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[[[]],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[[]]]
[3,1,7,4,8,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[],[[]]],[]]=>[[],[[[]],[]],[[],[]]]
[4,1,7,3,8,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[[[],[[]]],[[[]]],[]]=>[[],[[[]]],[[[]],[]]]
[5,1,7,3,8,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[]]]
[7,3,8,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[[[[[]]],[[[]]]],[]]=>[[],[[[[]]],[[[]]]]]
[8,2,6,3,7,1,5,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>[[[[]],[[],[[]]],[]]]=>[[[],[[[]],[]],[[]]]]
[7,2,6,3,8,1,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[[[[]],[[],[[]]]],[]]=>[[],[[[[]],[]],[[]]]]
[3,4,2,6,8,1,5,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[[[[]]],[],[[]],[[]]]=>[[[]],[[]],[],[[[]]]]
[5,3,6,2,8,1,4,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[]]],[]],[],[[]]]=>[[[]],[],[[],[[[]]]]]
[5,3,6,2,4,8,1,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[]]],[]],[],[[]]]=>[[[]],[],[[],[[[]]]]]
[5,7,3,8,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]=>[[],[[]],[[],[[[]]]]]
[5,7,3,8,2,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]=>[[],[[]],[[],[[[]]]]]
[7,4,2,5,8,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]=>[[],[[],[],[[],[[]]]]]
[7,4,2,5,8,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]=>[[],[[],[],[[],[[]]]]]
[4,5,2,6,3,8,1,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[]],[]],[],[],[[]]]=>[[[]],[],[],[[],[[]]]]
[4,5,2,1,6,8,3,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[]],[]],[],[],[[]]]=>[[[]],[],[],[[],[[]]]]
[5,3,1,6,8,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[[[[],[]],[]],[],[[]]]=>[[[]],[],[[],[[],[]]]]
[5,6,2,8,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[[[[]],[],[]],[],[[]]]=>[[[]],[],[[],[],[[]]]]
[3,5,6,1,4,8,2,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[[[],[]],[[]],[],[[]]]=>[[[]],[],[[]],[[],[]]]
[4,1,5,6,3,8,2,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[[[],[[]]],[],[],[[]]]=>[[[]],[],[],[[[]],[]]]
[4,5,1,6,3,8,2,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[[[],[[]]],[],[],[[]]]=>[[[]],[],[],[[[]],[]]]
[4,5,6,3,2,8,1,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[[[[[]]]],[],[],[[]]]=>[[[]],[],[],[[[[]]]]]
[7,4,5,3,8,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]=>[[],[[],[],[[[[]]]]]]
[7,4,5,3,8,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]=>[[],[[],[],[[[[]]]]]]
[6,7,4,8,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]=>[[],[],[[],[[[[]]]]]]
[6,7,4,8,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]=>[[],[],[[],[[[[]]]]]]
[6,7,4,1,8,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[[[[],[[]]],[]],[],[]]=>[[],[],[[],[[[]],[]]]]
[7,4,5,3,1,8,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[[[[[],[]]],[],[]],[]]=>[[],[[],[],[[[],[]]]]]
[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[[[],[[]]],[[],[]],[]]=>[[],[[],[]],[[[]],[]]]
[5,3,7,8,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]
[7,5,8,2,4,6,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]=>[[],[[],[[[]],[[]]]]]
[7,3,5,8,1,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[]],[]],[]]=>[[],[[],[[]],[[],[]]]]
[4,5,1,7,8,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[[[],[[]]],[],[[]],[]]=>[[],[[]],[],[[[]],[]]]
[7,4,1,5,8,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[[[[],[[]]],[],[]],[]]=>[[],[[],[],[[[]],[]]]]
[6,7,4,3,8,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]=>[[],[],[[],[[[],[]]]]]
[6,7,4,8,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]=>[[],[],[[],[[[],[]]]]]
[6,7,4,8,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]=>[[],[],[[],[[[[]]]]]]
[5,6,7,3,8,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]=>[[],[],[],[[],[[[]]]]]
[5,6,7,3,1,8,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]=>[[],[],[],[[],[[],[]]]]
[5,6,1,7,3,8,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[[[],[[]],[]],[],[],[]]=>[[],[],[],[[],[[]],[]]]
[5,1,6,7,3,8,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[[[],[[]],[]],[],[],[]]=>[[],[],[],[[],[[]],[]]]
[6,4,7,1,8,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[[[[],[[]]],[]],[],[]]=>[[],[],[[],[[[]],[]]]]
[6,7,8,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[[],[]],[],[]],[],[]]=>[[],[],[[],[],[[],[]]]]
[6,7,2,8,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]=>[[],[],[[],[[]],[[]]]]
[6,7,2,8,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]=>[[],[],[[],[[]],[[]]]]
[6,1,7,4,8,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[[[],[[[]]],[]],[],[]]=>[[],[],[[],[[[]]],[]]]
[5,1,6,7,3,2,8,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[[[],[[]],[]],[],[],[]]=>[[],[],[],[[],[[]],[]]]
[5,6,1,7,3,2,8,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[[[],[[]],[]],[],[],[]]=>[[],[],[],[[],[[]],[]]]
[5,6,7,3,2,1,8,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]=>[[],[],[],[[],[[[]]]]]
[5,6,7,3,2,8,4,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]=>[[],[],[],[[],[[[]]]]]
[5,6,2,7,3,8,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]=>[[],[],[],[[],[],[[]]]]
[5,6,2,7,3,1,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]=>[[],[],[],[[],[],[[]]]]
[5,6,2,1,7,3,8,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]],[],[]],[],[],[]]=>[[],[],[],[[],[],[[]]]]
[6,1,7,4,2,8,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[[[],[[],[]],[]],[],[]]=>[[],[],[[],[[],[]],[]]]
[6,7,2,1,8,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[]],[],[],[]],[],[]]=>[[],[],[[],[],[],[[]]]]
[7,5,8,2,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]=>[[],[[],[[],[],[[]]]]]
[5,7,3,1,8,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]
[4,7,1,5,2,8,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[],[]],[[],[]],[]]=>[[],[[],[]],[[],[],[]]]
[7,4,2,5,1,8,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]=>[[],[[],[],[[],[[]]]]]
[6,7,4,2,1,8,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]=>[[],[],[[],[[],[[]]]]]
[6,7,4,2,8,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]=>[[],[],[[],[[],[[]]]]]
[6,7,4,2,8,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]=>[[],[],[[],[[],[[]]]]]
[3,6,7,2,8,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]=>[[],[],[[],[]],[[[]]]]
[3,6,7,2,8,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]=>[[],[],[[],[]],[[[]]]]
[3,6,7,2,1,8,4,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]=>[[],[],[[],[]],[[[]]]]
[5,7,3,8,2,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]=>[[],[[]],[[],[[[]]]]]
[3,4,7,8,2,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[[[[]]],[],[[],[]],[]]=>[[],[[],[]],[],[[[]]]]
[3,7,8,1,4,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[],[[]]],[]]=>[[],[[[]],[]],[[],[]]]
[3,4,7,8,2,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[[[[]]],[],[[[]]],[]]=>[[],[[[]]],[],[[[]]]]
[5,7,3,8,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]=>[[],[[]],[[],[[[]]]]]
[3,6,7,2,8,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]=>[[],[],[[[]]],[[[]]]]
[3,6,7,8,5,2,1,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]=>[[],[],[[[]]],[[[]]]]
[3,6,7,8,5,2,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]=>[[],[],[[[]]],[[[]]]]
[6,4,7,8,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]=>[[],[],[[],[[],[[]]]]]
[6,4,7,8,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]=>[[],[],[[],[[],[[]]]]]
[4,1,5,7,8,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[[[],[],[]],[],[[]],[]]=>[[],[[]],[],[[],[],[]]]
[5,3,7,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]
[6,7,2,8,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[[[[]],[[],[]]],[],[]]=>[[],[],[[[],[]],[[]]]]
[6,4,1,7,8,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]=>[[],[],[[],[[],[],[]]]]
[5,1,6,2,7,8,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[[[],[],[[]]],[],[],[]]=>[[],[],[],[[[]],[],[]]]
[5,6,2,1,7,8,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]=>[[],[],[],[[[]],[[]]]]
[5,6,2,7,1,8,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]=>[[],[],[],[[[]],[[]]]]
[5,6,2,7,8,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]=>[[],[],[],[[[]],[[]]]]
[5,6,7,2,8,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]=>[[],[],[],[[[]],[[]]]]
[5,6,7,2,1,8,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]=>[[],[],[],[[[]],[[]]]]
[5,6,1,7,2,8,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[[[],[],[[]]],[],[],[]]=>[[],[],[],[[[]],[],[]]]
[5,1,6,7,2,8,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[[[],[],[[]]],[],[],[]]=>[[],[],[],[[[]],[],[]]]
[6,4,7,1,8,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]=>[[],[],[[],[[],[],[]]]]
[3,6,7,1,8,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[],[]],[[[]]],[],[]]=>[[],[],[[[]]],[[],[]]]
[6,7,8,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[[[[[]],[[]]]],[],[]]=>[[],[],[[[[]],[[]]]]]
[6,7,8,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]=>[[],[],[[[]],[[],[]]]]
[4,6,7,8,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[],[[]]],[[]],[],[]]=>[[],[],[[]],[[[]],[]]]
[5,1,6,7,8,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[[[],[[[]]]],[],[],[]]=>[[],[],[],[[[[]]],[]]]
[5,6,1,7,8,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[[[],[[[]]]],[],[],[]]=>[[],[],[],[[[[]]],[]]]
[5,6,7,1,8,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[[[],[[[]]]],[],[],[]]=>[[],[],[],[[[[]]],[]]]
[8,6,1,3,4,2,5,7]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>[[[[],[[]],[],[]],[]]]=>[[[],[[],[],[[]],[]]]]
[8,3,2,5,1,6,4,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[[[[[]]],[[]],[],[]]]=>[[[],[],[[]],[[[]]]]]
[8,5,3,6,2,4,1,7]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[[[[[]]],[]],[],[]]]=>[[[],[],[[],[[[]]]]]]
[5,3,2,7,4,1,8,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]=>[[],[[]],[[],[[[]]]]]
[7,5,3,8,2,4,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]=>[[],[[],[[],[[[]]]]]]
[7,2,4,5,8,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[[[[]],[[]],[],[]],[]]=>[[],[[],[],[[]],[[]]]]
[2,4,5,3,7,1,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[]],[[]],[],[[]],[]]=>[[],[[]],[],[[]],[[]]]
[8,2,4,5,6,3,1,7]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[[[[]],[[]],[],[],[]]]=>[[[],[],[],[[]],[[]]]]
[8,2,4,5,6,1,3,7]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[[[[]],[[]],[],[],[]]]=>[[[],[],[],[[]],[[]]]]
[8,1,2,4,5,6,3,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[[[],[],[[]],[],[],[]]]=>[[[],[],[],[[]],[],[]]]
[8,2,5,1,3,6,4,7]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>[[[[]],[[],[]],[],[]]]=>[[[],[],[[],[]],[[]]]]
[8,5,6,2,1,4,3,7]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>[[[[[]],[[]]],[],[]]]=>[[[],[],[[[]],[[]]]]]
[8,5,3,6,4,1,2,7]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[[[[[],[]],[]],[],[]]]=>[[[],[],[[],[[],[]]]]]
[8,4,1,5,6,3,2,7]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>[[[[],[[]]],[],[],[]]]=>[[[],[],[],[[[]],[]]]]
[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[[[],[[[]]],[],[],[]]]=>[[[],[],[],[[[]]],[]]]
[4,5,3,7,2,1,8,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]=>[[],[[]],[],[[[[]]]]]
[7,4,5,8,3,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[[[[[]]]],[],[]],[]]=>[[],[[],[],[[[[]]]]]]
[4,3,6,7,2,8,5,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]=>[[],[],[[]],[[[[]]]]]
[4,3,6,7,2,8,1,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]=>[[],[],[[]],[[[[]]]]]
[1,4,3,6,7,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[],[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]],[]]
[4,5,3,7,1,8,2,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[[[[],[]]],[],[[]],[]]=>[[],[[]],[],[[[],[]]]]
[4,1,5,3,7,2,8,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[[[],[[]]],[],[[]],[]]=>[[],[[]],[],[[[]],[]]]
[5,3,4,7,1,2,8,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]
[7,5,8,2,1,4,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]=>[[],[[],[[[]],[[]]]]]
[7,5,3,8,4,1,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]=>[[],[[],[[],[[],[]]]]]
[7,4,5,8,3,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[[[[[],[]]],[],[]],[]]=>[[],[[],[],[[[],[]]]]]
[4,3,6,7,8,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]=>[[],[],[[]],[[[],[]]]]
[1,6,4,7,8,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[[],[[[[]]],[]],[],[]]=>[[],[],[[],[[[]]]],[]]
[6,4,7,8,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]=>[[],[],[[],[[[[]]]]]]
[3,5,6,7,8,4,1,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[]],[],[],[]]=>[[],[],[],[[]],[[],[]]]
[3,1,5,6,7,8,4,2]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[[[],[]],[[]],[],[],[]]=>[[],[],[],[[]],[[],[]]]
[4,6,1,7,8,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[],[[]]],[[]],[],[]]=>[[],[],[[]],[[[]],[]]]
[3,6,7,1,4,8,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[],[]],[[],[]],[],[]]=>[[],[],[[],[]],[[],[]]]
[6,2,4,1,7,8,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]=>[[],[],[[],[[]],[[]]]]
[2,6,7,1,4,8,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[[]]]
[4,3,6,7,8,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]=>[[],[],[[]],[[[],[]]]]
[1,5,3,6,7,8,2,4]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[[],[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]],[]]
[3,5,6,7,8,2,1,4]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]=>[[],[],[],[[]],[[[]]]]
[3,5,6,7,8,2,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[[[[]]],[[]],[],[],[]]=>[[],[],[],[[]],[[[]]]]
[5,2,7,1,3,8,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]=>[[],[[]],[[],[],[[]]]]
[5,3,1,7,8,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]
[4,5,2,7,8,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[]]]]
[4,2,6,7,8,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]=>[[],[],[[]],[[],[[]]]]
[4,2,6,7,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]=>[[],[],[[]],[[],[[]]]]
[3,6,2,7,4,8,5,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]=>[[],[],[[],[]],[[[]]]]
[3,6,2,7,4,8,1,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]=>[[],[],[[],[]],[[[]]]]
[3,2,1,6,4,7,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]=>[[],[],[[],[]],[[[]]]]
[3,7,4,2,1,5,8,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[[[[]]],[[],[],[]],[]]=>[[],[[],[],[]],[[[]]]]
[1,7,3,4,2,5,8,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[[],[[[]],[],[],[]],[]]=>[[],[[],[],[],[[]]],[]]
[4,7,2,1,3,5,8,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[]],[]],[[],[]],[]]=>[[],[[],[]],[[],[[]]]]
[7,8,4,2,1,3,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[[[[]],[]],[[]]],[]]=>[[],[[[]],[[],[[]]]]]
[7,8,1,3,4,2,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[[[],[[]],[],[[]]],[]]=>[[],[[[]],[],[[]],[]]]
[7,8,3,4,2,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[[[[[]]],[],[[]]],[]]=>[[],[[[]],[],[[[]]]]]
[6,3,2,7,1,8,5,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]=>[[],[],[[[]],[[[]]]]]
[3,6,2,7,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[[[[]]],[[[]]],[],[]]=>[[],[],[[[]]],[[[]]]]
[6,7,3,8,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[[[[]]],[[]]],[],[]]=>[[],[],[[[]],[[[]]]]]
[6,4,7,8,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[[[[]],[]],[]],[],[]]=>[[],[],[[],[[],[[]]]]]
[2,6,4,7,8,1,5,3]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[]],[],[]]=>[[],[],[[],[[]]],[[]]]
[4,6,2,7,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]=>[[],[],[[]],[[],[[]]]]
[7,4,5,8,6,2,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[[[[]],[]],[],[]],[]]=>[[],[[],[],[[],[[]]]]]
[7,4,1,5,8,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[[[[],[],[]],[],[]],[]]=>[[],[[],[],[[],[],[]]]]
[7,5,3,8,6,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]=>[[],[[],[[],[[],[]]]]]
[7,5,8,2,1,6,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[[[[]],[],[]],[]],[]]=>[[],[[],[[],[],[[]]]]]
[6,2,7,1,3,8,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[[[[]],[],[[]]],[],[]]=>[[],[],[[[]],[],[[]]]]
[6,3,1,7,8,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]=>[[],[],[[[]],[[],[]]]]
[4,6,1,7,8,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[[[],[],[]],[[]],[],[]]=>[[],[],[[]],[[],[],[]]]
[5,1,2,6,7,8,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[[[],[],[[]]],[],[],[]]=>[[],[],[],[[[]],[],[]]]
[5,2,6,7,8,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]=>[[],[],[],[[[]],[[]]]]
[5,2,6,7,8,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[[[[]],[[]]],[],[],[]]=>[[],[],[],[[[]],[[]]]]
[2,5,6,7,8,4,1,3]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[[[]],[[[]]],[],[],[]]=>[[],[],[],[[[]]],[[]]]
[1,5,2,6,7,8,4,3]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[[],[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]],[]]
[1,6,4,7,8,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[[],[[[],[]],[]],[],[]]=>[[],[],[[],[[],[]]],[]]
[2,6,7,1,3,8,5,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[[[]],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[[]]]
[6,7,8,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[[[[]],[[[]]]],[],[]]=>[[],[],[[[[]]],[[]]]]
[6,7,3,8,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[[],[]],[[]]],[],[]]=>[[],[],[[[]],[[],[]]]]
[6,4,7,8,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]=>[[],[],[[],[[[],[]]]]]
[4,5,2,3,7,6,1,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[]]]]
[6,4,3,7,2,5,1,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[[[[[]]]],[]],[],[]]=>[[],[],[[],[[[[]]]]]]
[8,4,3,6,5,1,2,7]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>[[[[[],[]]],[[]],[]]]=>[[[],[[]],[[[],[]]]]]
[1,5,6,3,4,8,7,2]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[[],[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]],[]]
[4,6,2,7,3,5,1,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[[[]],[]],[[]],[],[]]=>[[],[],[[]],[[],[[]]]]
[3,2,6,7,4,5,1,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]=>[[],[],[[],[]],[[[]]]]
[4,7,2,6,5,3,1,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[]],[]],[[[]]],[]]=>[[],[[[]]],[[],[[]]]]
[5,7,6,2,4,3,1,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[[[]],[[]]],[[]],[]]=>[[],[[]],[[[]],[[]]]]
[1,7,5,4,8,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[[],[[[[[]]]],[]],[]]=>[[],[[],[[[[]]]]],[]]
[8,7,5,4,1,3,2,6]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>[[[[[[],[[]]]],[]]]]=>[[[[],[[[[]],[]]]]]]
[6,8,5,4,2,1,3,7]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[[[[[[]],[]]]],[[]]]=>[[[]],[[[[],[[]]]]]]
[5,8,6,2,4,1,3,7]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[[[[]],[[]]],[[],[]]]=>[[[],[]],[[[]],[[]]]]
[4,8,2,6,5,1,3,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[[[[]],[]],[[[]],[]]]=>[[[],[[]]],[[],[[]]]]
[3,2,8,6,5,1,4,7]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>[[[[]]],[[[[]]],[]]]=>[[[],[[[]]]],[[[]]]]
[4,1,2,6,5,8,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[],[]],[[]],[[]]]=>[[[]],[[]],[[],[],[]]]
[5,1,6,2,4,8,7,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[[[],[],[[]]],[],[[]]]=>[[[]],[],[[[]],[],[]]]
[6,1,5,4,2,8,7,3]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>[[[],[[[],[]]]],[[]]]=>[[[]],[[[[],[]]],[]]]
[7,1,5,4,8,2,6,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[[[],[[[],[]]],[]],[]]=>[[],[[],[[[],[]]],[]]]
[8,1,5,4,7,6,2,3]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[[[],[[[],[]]],[[]]]]=>[[[[]],[[[],[]]],[]]]
[1,8,6,7,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[[],[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]],[]]
[8,1,6,7,4,5,2,3]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[[[],[[[],[]],[]],[]]]=>[[[],[[],[[],[]]],[]]]
[7,1,6,8,4,2,5,3]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[[[],[[[],[]],[]]],[]]=>[[],[[[],[[],[]]],[]]]
[6,1,7,8,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[[[],[],[[]],[]],[],[]]=>[[],[],[[],[[]],[],[]]]
[5,1,7,2,8,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[[[],[],[[]]],[[]],[]]=>[[],[[]],[[[]],[],[]]]
[4,1,2,7,8,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[],[],[]],[[],[]],[]]=>[[],[[],[]],[[],[],[]]]
[3,2,1,7,8,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]=>[[],[[],[[]]],[[[]]]]
[3,2,8,7,1,5,4,6]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>[[[[]]],[[[[]],[]]]]=>[[[[],[[]]]],[[[]]]]
[4,8,2,7,1,5,3,6]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[[[[]],[]],[[[],[]]]]=>[[[[],[]]],[[],[[]]]]
[5,8,7,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]=>[[[[]]],[[[]],[[]]]]
[6,8,7,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[[[],[],[[]],[]],[[]]]=>[[[]],[[],[[]],[],[]]]
[7,8,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[[[[],[[],[]],[]]],[]]=>[[],[[[],[[],[]],[]]]]
[8,7,6,1,4,3,2,5]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[[[[[],[[[]]],[]]]]]=>[[[[[],[[[]]],[]]]]]
[1,7,6,8,4,3,5,2]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>[[],[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]],[]]
[1,6,7,8,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[[],[[[]],[],[]],[],[]]=>[[],[],[[],[],[[]]],[]]
[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>[[[[],[[]],[],[]],[]]]=>[[[],[[],[],[[]],[]]]]
[7,6,8,1,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>[[[[],[[]],[],[]]],[]]=>[[],[[[],[],[[]],[]]]]
[5,7,8,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[[[]],[],[]],[[]],[]]=>[[],[[]],[[],[],[[]]]]
[4,7,2,8,1,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[[[[]],[]],[[],[]],[]]=>[[],[[],[]],[[],[[]]]]
[3,2,6,8,4,1,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]=>[[[]],[[],[]],[[[]]]]
[4,6,2,8,3,1,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]=>[[[]],[[]],[[],[[]]]]
[5,6,8,2,3,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[[[[]],[],[]],[],[[]]]=>[[[]],[],[[],[],[[]]]]
[6,5,8,3,2,1,4,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[[[[[[]]],[]]],[[]]]=>[[[]],[[[],[[[]]]]]]
[7,5,8,3,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]=>[[],[[],[[],[[],[]]]]]
[8,5,7,3,1,4,2,6]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[[[[[],[]],[]],[[]]]]=>[[[[]],[[],[[],[]]]]]
[1,5,7,3,8,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[],[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]],[]]
[1,4,3,7,8,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[[],[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]],[]]
[8,4,3,7,1,5,2,6]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>[[[[[],[]]],[[],[]]]]=>[[[[],[]],[[[],[]]]]]
[6,4,3,8,2,1,5,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[[[[[[]]]],[]],[[]]]=>[[[]],[[],[[[[]]]]]]
[4,5,2,3,8,1,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>[[[[]],[]],[],[[],[]]]=>[[[],[]],[],[[],[[]]]]
[3,2,5,4,8,1,6,7]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>[[[[]]],[[]],[[],[]]]=>[[[],[]],[[]],[[[]]]]
[4,5,2,3,1,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[[[]],[]],[],[[[]]]]=>[[[[]]],[],[[],[[]]]]
[6,4,3,1,2,8,7,5]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[[[],[]]],[]],[[]]]=>[[[]],[[],[[[],[]]]]]
[7,4,3,1,8,2,6,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[[[],[]]],[[]]],[]]=>[[],[[[]],[[[],[]]]]]
[8,4,3,1,7,6,2,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[[[[[],[]]],[[[]]]]]=>[[[[[]]],[[[],[]]]]]
[1,5,8,3,7,6,4,2]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[],[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]],[]]
[8,5,1,3,7,6,2,4]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>[[[[],[[]],[]],[[]]]]=>[[[[]],[[],[[]],[]]]]
[7,5,1,3,8,2,6,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[[[[],[[]],[]],[]],[]]=>[[],[[],[[],[[]],[]]]]
[6,5,1,3,2,8,7,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[[[[],[[]],[]]],[[]]]=>[[[]],[[[],[[]],[]]]]
[5,6,1,2,3,8,7,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[[[],[],[],[]],[],[[]]]=>[[[]],[],[[],[],[],[]]]
[4,6,2,1,3,8,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]=>[[[]],[[]],[[],[[]]]]
[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]=>[[[]],[[],[]],[[[]]]]
[3,2,7,1,8,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[[[[]]],[[],[[]]],[]]=>[[],[[[]],[]],[[[]]]]
[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[]],[]],[[[]]],[]]=>[[],[[[]]],[[],[[]]]]
[5,7,1,2,8,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[],[],[],[]],[[]],[]]=>[[],[[]],[[],[],[],[]]]
[6,7,1,8,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[[[],[],[],[[]]],[],[]]=>[[],[],[[[]],[],[],[]]]
[7,6,1,8,3,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[[[[],[[]],[[]]]],[]]=>[[],[[[[]],[[]],[]]]]
[8,6,1,7,3,5,2,4]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>[[[[],[[]],[[]]],[]]]=>[[[],[[[]],[[]],[]]]]
[1,6,8,7,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[[],[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]],[]]
[1,7,8,6,5,3,4,2]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[[],[[[[[]],[]]]],[]]=>[[],[[[[],[[]]]]],[]]
[8,7,1,6,5,3,2,4]=>[[[.,[[[[.,.],[.,.]],.],.]],.],.]=>[[[[],[[[[]],[]]]]]]=>[[[[[[],[[]]]],[]]]]
[7,8,1,6,5,2,3,4]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>[[[],[[[],[],[]]]],[]]=>[[],[[[[],[],[]]],[]]]
[6,8,1,7,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>[[[],[],[[],[]]],[[]]]=>[[[]],[[[],[]],[],[]]]
[5,8,1,2,7,6,3,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[[[],[],[],[]],[[[]]]]=>[[[[]]],[[],[],[],[]]]
[4,8,2,1,7,6,3,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[[[[]],[]],[[[[]]]]]=>[[[[[]]]],[[],[[]]]]
[3,2,8,1,7,6,4,5]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[[[[]]],[[[[],[]]]]]=>[[[[[],[]]]],[[[]]]]
[4,1,2,8,7,6,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[],[],[]],[[[[]]]]]=>[[[[[]]]],[[],[],[]]]
[5,1,8,2,7,6,4,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[[[],[],[[]]],[[[]]]]=>[[[[]]],[[[]],[],[]]]
[6,1,8,7,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[[[],[],[[[]]]],[[]]]=>[[[]],[[[[]]],[],[]]]
[7,1,8,6,5,2,4,3]=>[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>[[[],[[[],[[]]]]],[]]=>[[],[[[[[]],[]]],[]]]
[8,1,7,6,5,4,2,3]=>[[.,[[[[[.,[.,.]],.],.],.],.]],.]=>[[[],[[[[[],[]]]]]]]=>[[[[[[[],[]]]]],[]]]
[3,1,2,6,5,8,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]=>[[[]],[[[]]],[[],[]]]
[3,1,6,2,4,8,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[],[]],[[]]]=>[[[]],[[],[]],[[],[]]]
[3,1,5,2,4,8,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[]],[[[]]]]=>[[[[]]],[[]],[[],[]]]
[4,5,1,2,3,8,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[],[],[]],[],[[[]]]]=>[[[[]]],[],[[],[],[]]]
[4,6,1,2,3,8,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[],[]],[[]],[[]]]=>[[[]],[[]],[[],[],[]]]
[1,6,5,3,4,8,7,2]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>[[],[[[[]],[]]],[[]]]=>[[[]],[[[],[[]]]],[]]
[6,1,5,2,4,8,7,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[[[],[[],[[]]]],[[]]]=>[[[]],[[[[]],[]],[]]]
[6,5,1,2,3,8,7,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[[[[],[],[],[]]],[[]]]=>[[[]],[[[],[],[],[]]]]
[6,4,1,2,3,8,7,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[],[]],[]],[[]]]=>[[[]],[[],[[],[],[]]]]
[5,4,1,2,3,8,7,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[[[[],[],[]]],[[[]]]]=>[[[[]]],[[[],[],[]]]]
[5,4,1,2,7,3,6,8]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[],[],[]]],[[]],[]]=>[[],[[]],[[[],[],[]]]]
[6,4,1,7,2,3,5,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[],[],[]],[]],[],[]]=>[[],[],[[],[[],[],[]]]]
[6,4,1,8,2,3,5,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[],[],[]],[]],[[]]]=>[[[]],[[],[[],[],[]]]]
[7,4,1,2,8,3,6,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[],[]],[[]]],[]]=>[[],[[[]],[[],[],[]]]]
[7,5,1,2,8,3,6,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[],[],[],[]],[]],[]]=>[[],[[],[[],[],[],[]]]]
[7,1,5,2,8,4,6,3]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>[[[],[[],[[]]],[]],[]]=>[[],[[],[[[]],[]],[]]]
[1,7,5,3,8,4,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[],[[[[]],[]],[]],[]]=>[[],[[],[[],[[]]]],[]]
[1,8,5,3,7,4,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[[],[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]],[]]
[8,1,5,2,7,4,6,3]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[[[],[[],[[]]],[[]]]]=>[[[[]],[[[]],[]],[]]]
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[8,4,1,2,7,3,6,5]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>[[[[],[],[]],[[[]]]]]=>[[[[[]]],[[],[],[]]]]
[8,4,1,7,2,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>[[[[],[],[]],[[],[]]]]=>[[[[],[]],[[],[],[]]]]
[7,4,1,6,2,3,5,8]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[],[],[]],[[]]],[]]=>[[],[[[]],[[],[],[]]]]
[8,6,1,7,2,3,5,4]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]=>[[[[],[],[],[[]]],[]]]=>[[[],[[[]],[],[],[]]]]
[8,1,6,7,2,4,5,3]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[[[],[[],[[]],[]],[]]]=>[[[],[[],[[]],[]],[]]]
[1,8,6,7,3,4,5,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[[],[[[[]],[],[]],[]]]=>[[[],[[],[],[[]]]],[]]
[1,7,6,8,3,4,5,2]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[[],[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]],[]]
[7,1,6,8,2,4,5,3]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>[[[],[[],[[]],[]]],[]]=>[[],[[[],[[]],[]],[]]]
[7,6,1,8,2,3,5,4]=>[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[[[[],[],[],[[]]]],[]]=>[[],[[[[]],[],[],[]]]]
[4,7,1,2,8,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[],[]],[[[]]],[]]=>[[],[[[]]],[[],[],[]]]
[3,1,7,2,8,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[],[[]]],[]]=>[[],[[[]],[]],[[],[]]]
[3,1,2,7,8,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[]]]
[1,4,3,8,7,5,6,2]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>[[],[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]],[]]
[4,1,2,8,7,5,6,3]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[[[],[],[]],[[[],[]]]]=>[[[[],[]]],[[],[],[]]]
[3,1,2,8,7,5,6,4]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>[[[],[]],[[[[]],[]]]]=>[[[[],[[]]]],[[],[]]]
[3,1,8,2,7,4,6,5]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[[[],[]],[[[],[[]]]]]=>[[[[[]],[]]],[[],[]]]
[3,1,8,7,2,4,5,6]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>[[[],[]],[[[],[],[]]]]=>[[[[],[],[]]],[[],[]]]
[3,1,7,6,2,4,5,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[],[]]],[]]=>[[],[[[],[]]],[[],[]]]
[4,7,1,6,2,3,5,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[],[],[]],[[[]]],[]]=>[[],[[[]]],[[],[],[]]]
[4,8,1,6,2,3,5,7]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[[[],[],[]],[[[]],[]]]=>[[[],[[]]],[[],[],[]]]
[4,8,1,7,2,3,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[[[],[],[]],[[[],[]]]]=>[[[[],[]]],[[],[],[]]]
[4,8,1,2,7,3,6,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[],[],[]],[[[[]]]]]=>[[[[[]]]],[[],[],[]]]
[5,8,1,2,7,3,6,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[[[],[],[],[]],[[[]]]]=>[[[[]]],[[],[],[],[]]]
[5,1,8,2,7,4,6,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[[[],[],[[]]],[[[]]]]=>[[[[]]],[[[]],[],[]]]
[1,5,8,3,7,4,6,2]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[],[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]],[]]
[1,6,8,7,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[[],[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]],[]]
[6,1,8,7,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[[[],[],[[]],[]],[[]]]=>[[[]],[[],[[]],[],[]]]
[6,8,1,7,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>[[[],[],[],[[]]],[[]]]=>[[[]],[[[]],[],[],[]]]
[6,8,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[[[],[],[],[],[]],[[]]]=>[[[]],[[],[],[],[],[]]]
[5,8,7,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[[[],[],[],[]],[[[]]]]=>[[[[]]],[[],[],[],[]]]
[5,8,6,1,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[[[],[],[],[]],[[],[]]]=>[[[],[]],[[],[],[],[]]]
[5,7,6,1,2,3,4,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[],[],[],[]],[[]],[]]=>[[],[[]],[[],[],[],[]]]
[7,8,1,6,2,3,5,4]=>[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[[[],[[],[],[[]]]],[]]=>[[],[[[[]],[],[]],[]]]
[7,1,8,6,2,4,5,3]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>[[[],[[],[[]],[]]],[]]=>[[],[[[],[[]],[]],[]]]
[1,7,8,6,3,4,5,2]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[[],[[[[]],[],[]]],[]]=>[[],[[[],[],[[]]]],[]]
[1,8,7,6,3,4,5,2]=>[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[[],[[[[[]],[],[]]]]]=>[[[[[],[],[[]]]]],[]]
[8,1,7,6,2,4,5,3]=>[[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>[[[],[[[],[[]],[]]]]]=>[[[[[],[[]],[]]],[]]]
[8,7,1,6,2,3,5,4]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[[[[],[[],[],[[]]]]]]=>[[[[[[]],[],[]],[]]]]
[3,2,5,1,6,4,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]=>[[[]],[],[[]],[[[]]]]
[3,2,5,4,7,1,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]=>[[],[[]],[[]],[[[]]]]
[4,2,5,3,7,6,8,1]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[]]]]
[4,2,5,3,7,1,8,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[]],[]],[],[[]],[]]=>[[],[[]],[],[[],[[]]]]
[4,2,5,3,6,1,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[]],[]],[],[],[[]]]=>[[[]],[],[],[[],[[]]]]
[4,2,5,1,6,3,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[[[[]],[]],[],[],[[]]]=>[[[]],[],[],[[],[[]]]]
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[4,3,5,2,7,1,8,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[[[[[]]]],[],[[]],[]]=>[[],[[]],[],[[[[]]]]]
[4,3,6,2,7,5,8,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]=>[[],[],[[]],[[[[]]]]]
[4,3,6,2,7,1,8,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[[[[[]]]],[[]],[],[]]=>[[],[],[[]],[[[[]]]]]
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[4,3,5,1,7,2,8,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[[[[],[]]],[],[[]],[]]=>[[],[[]],[],[[[],[]]]]
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[4,3,5,1,7,6,8,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[[[[],[]]],[],[[]],[]]=>[[],[[]],[],[[[],[]]]]
[4,3,6,1,7,5,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]=>[[],[],[[]],[[[],[]]]]
[4,3,6,5,7,1,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[[],[]]],[[]],[],[]]=>[[],[],[[]],[[[],[]]]]
[5,3,6,4,7,2,8,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[[[[]]],[]],[],[],[]]=>[[],[],[],[[],[[[]]]]]
[5,3,6,4,7,1,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]=>[[],[],[],[[],[[],[]]]]
[5,3,6,1,7,4,8,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]=>[[],[],[],[[],[[],[]]]]
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[3,7,5,2,4,1,8,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]=>[[],[[],[[]]],[[[]]]]
[8,3,7,5,2,4,6,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[[[[[]]],[[[]],[]]]]=>[[[[],[[]]],[[[]]]]]
[8,2,4,5,7,3,6,1]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>[[[[]],[[]],[],[[]]]]=>[[[[]],[],[[]],[[]]]]
[2,4,5,7,3,1,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[]],[[]],[],[[]],[]]=>[[],[[]],[],[[]],[[]]]
[8,2,4,6,5,3,1,7]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[[[[]],[[]],[[]],[]]]=>[[[],[[]],[[]],[[]]]]
[8,2,5,4,6,1,3,7]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>[[[[]],[[[]]],[],[]]]=>[[[],[],[[[]]],[[]]]]
[8,6,3,5,1,4,2,7]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>[[[[[],[]],[[]]],[]]]=>[[[],[[[]],[[],[]]]]]
[8,6,1,4,5,3,2,7]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[[[[],[[[]]],[]],[]]]=>[[[],[[],[[[]]],[]]]]
[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[[[],[[[[]]]],[],[]]]=>[[[],[],[[[[]]]],[]]]
[5,7,4,3,2,1,8,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]=>[[],[[]],[[[[[]]]]]]
[8,5,7,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[[[[[[]]]]],[[]]]]=>[[[[]],[[[[[]]]]]]]
[4,6,8,3,2,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]=>[[[]],[[]],[[[[]]]]]
[4,7,6,3,2,8,1,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]=>[[],[[[]]],[[[[]]]]]
[1,4,6,7,3,2,8,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[[],[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]],[]]
[5,4,7,3,1,8,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[[[],[]]]],[[]],[]]=>[[],[[]],[[[[],[]]]]]
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[3,7,5,1,4,2,8,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[]],[[[]],[]],[]]=>[[],[[],[[]]],[[],[]]]
[5,7,4,2,1,3,8,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[[[[]],[]]],[[]],[]]=>[[],[[]],[[[],[[]]]]]
[8,5,7,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[[[[[]],[]]],[[]]]]=>[[[[]],[[[],[[]]]]]]
[8,3,7,5,1,4,6,2]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>[[[[],[]],[[[]],[]]]]=>[[[[],[[]]],[[],[]]]]
[8,4,1,7,5,3,6,2]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>[[[[],[[]]],[[],[]]]]=>[[[[],[]],[[[]],[]]]]
[4,6,3,8,7,1,5,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]=>[[[]],[[]],[[[],[]]]]
[1,7,4,8,6,3,5,2]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>[[],[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]],[]]
[8,4,7,6,3,5,2,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[[[[[[]]]],[[[]]]]]=>[[[[[]]],[[[[]]]]]]
[3,6,5,8,7,4,1,2]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[],[]],[[[]]],[[]]]=>[[[]],[[[]]],[[],[]]]
[3,1,5,8,6,7,4,2]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[[[],[]],[[]],[[],[]]]=>[[[],[]],[[]],[[],[]]]
[4,8,1,6,7,3,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[[[],[[]]],[[[]],[]]]=>[[[],[[]]],[[[]],[]]]
[3,6,4,1,8,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[],[]],[[]]]=>[[[]],[[],[]],[[],[]]]
[8,2,6,1,4,7,5,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[[[[]],[[[]],[]],[]]]=>[[[],[[],[[]]],[[]]]]
[2,7,6,8,1,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[[[]],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[[]]]
[3,7,1,6,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[],[]],[[[],[]]],[]]=>[[],[[[],[]]],[[],[]]]
[1,7,3,5,6,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[],[[[]],[[]],[]],[]]=>[[],[[],[[]],[[]]],[]]
[1,3,6,7,5,8,2,4]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[[],[[]],[[[]]],[],[]]=>[[],[],[[[]]],[[]],[]]
[3,7,6,5,8,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[[[]]],[[[[]]]],[]]=>[[],[[[[]]]],[[[]]]]
[3,6,8,5,7,2,4,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]=>[[[]],[[[]]],[[[]]]]
[2,3,5,7,6,8,1,4]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[[[]],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[[]]]
[2,1,6,5,7,8,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[[[]],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[[]]]
[4,2,7,6,8,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[[[]],[]],[[[]]],[]]=>[[],[[[]]],[[],[[]]]]
[4,2,6,8,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]=>[[[]],[[]],[[],[[]]]]
[3,8,2,4,6,7,5,1]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[[[[]]],[[],[[]],[]]]=>[[[],[[]],[]],[[[]]]]
[3,7,2,6,4,8,1,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[[[[]]],[[[],[]]],[]]=>[[],[[[],[]]],[[[]]]]
[3,2,6,1,4,7,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[[[]]],[[],[]],[],[]]=>[[],[],[[],[]],[[[]]]]
[5,3,7,2,1,8,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[[[[]]],[]],[[]],[]]=>[[],[[]],[[],[[[]]]]]
[4,7,3,2,1,5,8,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[[[[]]]],[[],[]],[]]=>[[],[[],[]],[[[[]]]]]
[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[[[[[],[[]],[],[]]]]]=>[[[[[],[],[[]],[]]]]]
[8,5,7,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]=>[[[[]],[[],[[[]]]]]]
[8,3,6,7,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[[[[[]]],[[[]]],[]]]=>[[[],[[[]]],[[[]]]]]
[3,7,8,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[[[[]]],[[[[]]]],[]]=>[[],[[[[]]]],[[[]]]]
[8,7,6,3,5,2,4,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[[[[[[[]]],[[]]]]]]=>[[[[[[]],[[[]]]]]]]
[2,7,4,8,1,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[[[]],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[[]]]
[4,6,8,2,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]=>[[[]],[[]],[[],[[]]]]
[8,4,1,5,7,2,6,3]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>[[[[],[],[]],[],[[]]]]=>[[[[]],[],[[],[],[]]]]
[8,5,3,7,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[[[[[],[]],[]],[[]]]]=>[[[[]],[[],[[],[]]]]]
[8,5,7,2,1,3,6,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[[[[[]],[],[]],[[]]]]=>[[[[]],[[],[],[[]]]]]
[8,2,6,7,1,3,5,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>[[[[]],[[],[[]]],[]]]=>[[[],[[[]],[]],[[]]]]
[8,3,6,1,7,5,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[[[[],[]],[[[]]],[]]]=>[[[],[[[]]],[[],[]]]]
[4,6,1,8,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[],[],[]],[[]],[[]]]=>[[[]],[[]],[[],[],[]]]
[8,1,2,5,6,7,4,3]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[[[],[],[[[]]],[],[]]]=>[[[],[],[[[]]],[],[]]]
[8,2,6,5,7,4,1,3]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>[[[[]],[[[[]]]],[]]]=>[[[],[[[[]]]],[[]]]]
[2,1,7,8,5,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[[[]],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[[]]]
[8,2,5,7,6,4,3,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[[[[]],[[[]]],[[]]]]=>[[[[]],[[[]]],[[]]]]
[2,7,6,8,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[[[]],[[[[[]]]]],[]]=>[[],[[[[[]]]]],[[]]]
[1,7,2,5,8,6,4,3]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[[],[[],[[[]]],[]],[]]=>[[],[[],[[[]]],[]],[]]
[1,7,4,8,2,6,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>[[],[[[],[]],[[]]],[]]=>[[],[[[]],[[],[]]],[]]
[3,7,8,1,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[[[],[]],[[[[]]]],[]]=>[[],[[[[]]]],[[],[]]]
[2,7,8,6,1,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>[[[]],[[[],[[]]]],[]]=>[[],[[[[]],[]]],[[]]]
[8,7,6,3,5,1,4,2]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>[[[[[[],[]],[[]]]]]]=>[[[[[[]],[[],[]]]]]]
[8,4,7,6,5,1,3,2]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[[[[],[[]]],[[[]]]]]=>[[[[[]]],[[[]],[]]]]
[8,7,1,5,6,4,3,2]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]=>[[[[],[[[[]]]],[]]]]=>[[[[],[[[[]]]],[]]]]
[8,1,6,7,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]=>[[[],[[[[[]]]]],[]]]=>[[[],[[[[[]]]]],[]]]
[6,5,3,1,2,4,8,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[[[],[]],[]]],[[]]]=>[[[]],[[[],[[],[]]]]]
[4,6,3,5,1,2,8,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]=>[[[]],[[]],[[[],[]]]]
[8,5,3,7,2,1,4,6]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[[[[[]]],[]],[[]]]]=>[[[[]],[[],[[[]]]]]]
[6,8,1,4,5,7,3,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[[[],[[[]]],[]],[[]]]=>[[[]],[[],[[[]]],[]]]
[8,7,2,4,5,1,3,6]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[[[[[]],[[]],[],[]]]]=>[[[[],[],[[]],[[]]]]]
[3,6,2,4,5,1,8,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[[[]]],[[],[]],[[]]]=>[[[]],[[],[]],[[[]]]]
[2,6,1,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[[]],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[[]]]
[6,1,2,4,5,3,8,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[[[],[],[[]],[]],[[]]]=>[[[]],[[],[[]],[],[]]]
[5,6,3,2,1,4,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[]]],[]],[],[[]]]=>[[[]],[],[[],[[[]]]]]
[5,4,3,6,1,2,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[[[[[],[]]]],[],[[]]]=>[[[]],[],[[[[],[]]]]]
[6,3,1,4,5,2,8,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]=>[[[]],[[],[],[[],[]]]]
[3,1,6,4,5,2,8,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[],[]],[[],[]],[[]]]=>[[[]],[[],[]],[[],[]]]
[8,3,7,4,5,1,2,6]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>[[[[],[]],[[],[],[]]]]=>[[[[],[],[]],[[],[]]]]
[5,8,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[[[[]],[]]],[[[]]]]=>[[[[]]],[[[],[[]]]]]
[2,8,7,4,1,6,3,5]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[[[]],[[[[]],[[]]]]]=>[[[[[]],[[]]]],[[]]]
[8,1,7,4,2,6,3,5]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]=>[[[],[[[],[]],[[]]]]]=>[[[[[]],[[],[]]],[]]]
[3,7,8,4,5,1,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[[[],[]],[[],[],[]],[]]=>[[],[[],[],[]],[[],[]]]
[2,1,8,7,5,3,4,6]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[[[]],[[[[],[]],[]]]]=>[[[[],[[],[]]]],[[]]]
[2,1,6,8,5,7,3,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[[[]],[[[],[]]],[[]]]=>[[[]],[[[],[]]],[[]]]
[5,6,3,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[[[[],[]],[]],[],[[]]]=>[[[]],[],[[],[[],[]]]]
[7,6,1,4,5,8,3,2]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[[[[],[[[]]],[]]],[]]=>[[],[[[],[[[]]],[]]]]
[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[[[[]]],[[[],[]]],[]]=>[[],[[[],[]]],[[[]]]]
[8,5,7,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[[[[[],[[]]]],[[]]]]=>[[[[]],[[[[]],[]]]]]
[5,1,8,4,7,6,2,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[[[],[[],[]]],[[[]]]]=>[[[[]]],[[[],[]],[]]]
[2,5,8,4,7,6,1,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[[[]],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[[]]]
[2,4,8,3,5,6,7,1]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[[[]],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[[]]]
[4,1,8,3,5,6,7,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[[[],[[]]],[[],[],[]]]=>[[[],[],[]],[[[]],[]]]
[3,8,4,2,5,6,7,1]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[[[[]]],[[],[],[],[]]]=>[[[],[],[],[]],[[[]]]]
[8,4,1,3,5,6,7,2]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>[[[[],[[]]],[],[],[]]]=>[[[],[],[],[[[]],[]]]]
[7,5,8,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]=>[[],[[],[[[[],[]]]]]]
[6,5,3,8,4,1,7,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[[[],[]],[]]],[[]]]=>[[[]],[[[],[[],[]]]]]
[2,1,5,8,4,6,7,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[[[]],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[[]]]
[2,1,4,8,3,6,7,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[[[]],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[[]]]
[6,4,3,8,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[[[[[[]]]],[]],[[]]]=>[[[]],[[],[[[[]]]]]]
[7,3,8,4,2,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[[[[[]]],[],[[]]],[]]=>[[],[[[]],[],[[[]]]]]
[8,3,1,2,5,6,7,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>[[[[],[]],[[]],[],[]]]=>[[[],[],[[]],[[],[]]]]
[3,1,8,2,5,6,7,4]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[[[],[]],[[[]],[],[]]]=>[[[],[],[[]]],[[],[]]]
[2,3,8,1,5,6,7,4]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[[[]],[],[[[]],[],[]]]=>[[[],[],[[]]],[],[[]]]
[4,3,8,2,5,6,7,1]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[[[[[]]]],[[],[],[]]]=>[[[],[],[]],[[[[]]]]]
[4,8,2,3,5,6,7,1]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[[[[]],[]],[[],[],[]]]=>[[[],[],[]],[[],[[]]]]
[3,8,2,1,5,6,7,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[[[[]]],[[[]],[],[]]]=>[[[],[],[[]]],[[[]]]]
[2,8,1,3,5,6,7,4]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>[[[]],[[],[[]],[],[]]]=>[[[],[],[[]],[]],[[]]]
[8,1,2,3,5,6,7,4]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[[[],[],[],[[]],[],[]]]=>[[[],[],[[]],[],[],[]]]
[7,8,2,4,3,6,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[[[[]],[[]],[[]]],[]]=>[[],[[[]],[[]],[[]]]]
[6,8,3,2,4,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[[[[]]],[],[]],[[]]]=>[[[]],[[],[],[[[]]]]]
[2,1,8,3,4,6,7,5]=>[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>[[[]],[[],[],[[]],[]]]=>[[[],[[]],[],[]],[[]]]
[2,1,7,8,5,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[[[]],[[[[]]],[]],[]]=>[[],[[],[[[]]]],[[]]]
[5,7,3,8,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]
[7,1,8,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[[[],[[[]]],[],[]],[]]=>[[],[[],[],[[[]]],[]]]
[2,7,8,4,5,3,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>[[[]],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[[]]]
[8,7,1,4,3,6,2,5]=>[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>[[[[],[[[]]],[[]]]]]=>[[[[[]],[[[]]],[]]]]
[3,8,7,4,2,6,1,5]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[[[[]]],[[[],[[]]]]]=>[[[[[]],[]]],[[[]]]]
[5,7,8,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]=>[[],[[]],[[[[[]]]]]]
[5,6,3,8,4,2,7,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[[[[]]],[]],[],[[]]]=>[[[]],[],[[],[[[]]]]]
[4,8,3,6,2,1,7,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[[[[[]]]],[[[]],[]]]=>[[[],[[]]],[[[[]]]]]
[8,6,3,1,4,2,7,5]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>[[[[[],[]],[],[]],[]]]=>[[[],[[],[],[[],[]]]]]
[7,5,3,8,2,4,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]=>[[],[[],[[],[[[]]]]]]
[2,4,3,1,8,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[[[]],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[[]]]
[4,1,3,2,6,8,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[[]]],[[]],[[]]]=>[[[]],[[]],[[[]],[]]]
[7,5,3,6,2,8,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[[[[[]]],[]],[]],[]]=>[[],[[],[[],[[[]]]]]]
[8,6,3,5,1,2,7,4]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>[[[[[],[]],[[]]],[]]]=>[[[],[[[]],[[],[]]]]]
[5,8,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[[[[]]],[]],[[],[]]]=>[[[],[]],[[],[[[]]]]]
[4,5,3,8,6,2,7,1]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[[[[[]]]],[],[[],[]]]=>[[[],[]],[],[[[[]]]]]
[3,5,8,4,7,6,2,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]=>[[[[]]],[[]],[[[]]]]
[5,8,2,4,7,6,1,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[[[]],[[]]],[[[]]]]=>[[[[]]],[[[]],[[]]]]
[8,7,5,4,1,6,2,3]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>[[[[[[],[],[]]],[]]]]=>[[[[],[[[],[],[]]]]]]
[2,7,6,4,5,8,1,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[[[]],[[[[]],[]]],[]]=>[[],[[[],[[]]]],[[]]]
[7,1,6,4,5,8,2,3]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[[[],[[[],[]],[]]],[]]=>[[],[[[],[[],[]]],[]]]
[5,7,3,6,1,8,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[],[]],[]],[[]],[]]=>[[],[[]],[[],[[],[]]]]
[2,1,7,6,5,8,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[[[]],[[[[],[]]]],[]]=>[[],[[[[],[]]]],[[]]]
[2,1,8,5,3,6,7,4]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>[[[]],[[[],[]],[],[]]]=>[[[],[],[[],[]]],[[]]]
[6,8,3,5,2,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[[[[]]],[[]]],[[]]]=>[[[]],[[[]],[[[]]]]]
[7,8,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[[[[[]],[]]],[]],[]]=>[[],[[],[[[],[[]]]]]]
[8,1,4,2,5,6,7,3]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[[[],[[],[]],[],[],[]]]=>[[[],[],[],[[],[]],[]]]
[2,8,4,1,5,6,7,3]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>[[[]],[[[]],[],[],[]]]=>[[[],[],[],[[]]],[[]]]
[4,8,1,2,5,6,7,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[[[],[],[]],[[],[],[]]]=>[[[],[],[]],[[],[],[]]]
[3,4,8,1,5,6,7,2]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[[[],[]],[],[[],[],[]]]=>[[[],[],[]],[],[[],[]]]
[3,4,2,8,5,6,7,1]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[[[[]]],[],[[],[],[]]]=>[[[],[],[]],[],[[[]]]]
[2,4,1,8,5,6,7,3]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[[[]],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[[]]]
[4,1,2,8,5,6,7,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[[[],[],[]],[[],[],[]]]=>[[[],[],[]],[[],[],[]]]
[8,4,2,1,5,6,7,3]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[[[[[]],[]],[],[],[]]]=>[[[],[],[],[[],[[]]]]]
[7,5,2,4,8,6,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[]]=>[[],[[],[[[]],[[]]]]]
[6,5,3,2,8,1,7,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[[[[[[]]],[]]],[[]]]=>[[[]],[[[],[[[]]]]]]
[2,1,5,3,8,6,7,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[[[]],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[[]]]
[6,4,3,5,8,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[[[],[]]],[]],[[]]]=>[[[]],[[],[[[],[]]]]]
[7,3,5,4,8,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[],[]],[[]],[]],[]]=>[[],[[],[[]],[[],[]]]]
[8,3,4,1,5,6,7,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[[[[],[]],[],[],[],[]]]=>[[[],[],[],[],[[],[]]]]
[4,3,1,8,5,6,7,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[[[[],[]]],[[],[],[]]]=>[[[],[],[]],[[[],[]]]]
[3,1,4,8,5,6,7,2]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[[[],[]],[],[[],[],[]]]=>[[[],[],[]],[],[[],[]]]
[6,5,3,7,2,8,4,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[[[[[]]],[]]],[],[]]=>[[],[],[[[],[[[]]]]]]
[6,3,7,4,5,8,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[[[[]]],[],[]],[],[]]=>[[],[],[[],[],[[[]]]]]
[6,7,2,4,5,8,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[]],[],[]]=>[[],[],[[],[[]],[[]]]]
[5,1,7,4,8,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[[[],[[[]]]],[[]],[]]=>[[],[[]],[[[[]]],[]]]
[2,5,7,4,8,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[[[]],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[[]]]
[5,6,3,7,1,8,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[[[[],[]],[]],[],[],[]]=>[[],[],[],[[],[[],[]]]]
[3,8,7,4,5,2,1,6]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[[[[]]],[[[],[],[]]]]=>[[[[],[],[]]],[[[]]]]
[3,7,5,4,8,6,2,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[[[]]],[[[]],[]],[]]=>[[],[[],[[]]],[[[]]]]
[5,7,1,4,8,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[[[],[[],[]]],[[]],[]]=>[[],[[]],[[[],[]],[]]]
[5,6,3,1,8,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[[[[],[]],[]],[],[[]]]=>[[[]],[],[[],[[],[]]]]
[4,6,3,5,8,2,7,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]=>[[[]],[[]],[[[[]]]]]
[4,6,3,8,1,2,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[[],[]]],[[]],[[]]]=>[[[]],[[]],[[[],[]]]]
[3,7,8,4,1,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[[[],[]],[[],[[]]],[]]=>[[],[[[]],[]],[[],[]]]
[3,2,5,1,6,8,4,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[[[[]]],[[]],[],[[]]]=>[[[]],[],[[]],[[[]]]]
[3,6,2,5,4,8,1,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[[[]]],[[[]]],[[]]]=>[[[]],[[[]]],[[[]]]]
[3,5,2,4,7,1,8,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[[[]]],[[]],[[]],[]]=>[[],[[]],[[]],[[[]]]]
[3,5,8,2,4,7,6,1]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[[[]]],[[]],[[[]]]]=>[[[[]]],[[]],[[[]]]]
[4,2,5,8,3,7,6,1]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[[[]],[]],[],[[[]]]]=>[[[[]]],[],[[],[[]]]]
[4,2,6,5,3,8,1,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[[[]],[]],[[]],[[]]]=>[[[]],[[]],[[],[[]]]]
[5,4,2,1,6,8,3,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[[[[[]],[]]],[],[[]]]=>[[[]],[],[[[],[[]]]]]
[6,3,5,1,4,8,2,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[[],[]],[[]]],[[]]]=>[[[]],[[[]],[[],[]]]]
[4,6,1,5,3,8,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[[]]],[[]],[[]]]=>[[[]],[[]],[[[]],[]]]
[5,1,6,4,3,8,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[[[],[[[]]]],[],[[]]]=>[[[]],[],[[[[]]],[]]]
[5,4,3,2,7,1,8,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[[[[[]]]]],[[]],[]]=>[[],[[]],[[[[[]]]]]]
[5,4,3,8,2,7,6,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[[[[[[]]]]],[[[]]]]=>[[[[]]],[[[[[]]]]]]
[4,3,6,2,8,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[[[[]]]],[[]],[[]]]=>[[[]],[[]],[[[[]]]]]
[4,3,7,6,2,1,8,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[[[[]]]],[[[]]],[]]=>[[],[[[]]],[[[[]]]]]
[6,4,3,1,7,2,8,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[[[],[]]],[]],[],[]]=>[[],[],[[],[[[],[]]]]]
[7,5,4,3,1,8,2,6]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[[[[[[],[]]]],[]],[]]=>[[],[[],[[[[],[]]]]]]
[1,4,7,5,8,3,2,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[[],[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]],[]]
[7,1,3,5,8,4,2,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[[[],[[]],[[]],[]],[]]=>[[],[[],[[]],[[]],[]]]
[7,2,5,8,4,1,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[[[]],[[[]]],[]],[]]=>[[],[[],[[[]]],[[]]]]
[2,8,5,7,4,6,1,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[[[]],[[[[]]],[[]]]]=>[[[[]],[[[]]]],[[]]]
[3,5,8,7,1,4,6,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[],[]],[[]],[[[]]]]=>[[[[]]],[[]],[[],[]]]
[1,4,5,8,7,3,6,2]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[[],[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]],[]]
[1,5,4,8,7,3,6,2]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[[],[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]],[]]
[6,4,3,8,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[[[],[]]],[]],[[]]]=>[[[]],[[],[[[],[]]]]]
[4,3,7,1,8,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[[[[],[]]],[[[]]],[]]=>[[],[[[]]],[[[],[]]]]
[4,8,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[[[[[]]]],[[[[]]]]]=>[[[[[]]]],[[[[]]]]]
[5,3,8,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[[[[]]],[]],[[[]]]]=>[[[[]]],[[],[[[]]]]]
[7,5,3,1,8,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[],[]],[]],[]],[]]=>[[],[[],[[],[[],[]]]]]
[1,8,6,5,3,7,4,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>[[],[[[[[]],[]]],[]]]=>[[[],[[[],[[]]]]],[]]
[1,5,8,6,3,7,4,2]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[[],[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]],[]]
[4,6,1,8,7,3,5,2]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[[]]],[[]],[[]]]=>[[[]],[[]],[[[]],[]]]
[6,8,7,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[[],[]],[],[]],[[]]]=>[[[]],[[],[],[[],[]]]]
[6,2,8,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[[[]],[[]],[]],[[]]]=>[[[]],[[],[[]],[[]]]]
[7,6,2,8,4,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[[[[[]],[[]],[]]],[]]=>[[],[[[],[[]],[[]]]]]
[7,3,1,6,8,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[[],[]],[[],[]]],[]]=>[[],[[[],[]],[[],[]]]]
[1,7,6,4,8,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>[[],[[[[[]]],[]]],[]]=>[[],[[[],[[[]]]]],[]]
[5,7,1,6,3,2,8,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[],[[]],[]],[[]],[]]=>[[],[[]],[[],[[]],[]]]
[6,1,7,5,3,2,8,4]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[[[],[[[]],[]]],[],[]]=>[[],[],[[[],[[]]],[]]]
[7,6,5,3,2,1,8,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[[[[[[]]],[]]]],[]]=>[[],[[[[],[[[]]]]]]]
[6,5,3,2,8,7,4,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[[[[[[]]],[]]],[[]]]=>[[[]],[[[],[[[]]]]]]
[5,2,6,3,8,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[[[[]],[],[]],[],[[]]]=>[[[]],[],[[],[],[[]]]]
[5,2,