Identifier
Mp00072:
Permutations
—binary search tree: left to right⟶
Binary trees
Mp00010: Binary trees —to ordered tree: left child = left brother⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Mp00010: Binary trees —to ordered tree: left child = left 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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[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[],[[[]],[[]]]]=>[[[[]],[[]]],[]]
[2,5,3,6,1,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[],[[[]],[[]]]]=>[[[[]],[[]]],[]]
[2,5,3,6,4,1]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[],[[[]],[[]]]]=>[[[[]],[[]]],[]]
[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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[1,5,4,3,7,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>[[[],[],[],[[],[]]]]=>[[[[],[]],[],[],[]]]
[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]
[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]
[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[[],[],[],[[[]]]]]=>[[[[[]]],[],[],[]]]
[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[[],[],[],[[[]]]]]=>[[[[[]]],[],[],[]]]
[1,5,4,6,7,2,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]
[1,5,4,6,7,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[[],[],[],[[[]]]]]=>[[[[[]]],[],[],[]]]
[1,5,4,7,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]
[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]
[1,5,4,7,3,2,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>[[[],[],[],[[],[]]]]=>[[[[],[]],[],[],[]]]
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[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]
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[1,5,6,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]
[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]
[1,5,6,2,4,7,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]
[1,5,6,2,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]
[1,5,6,2,7,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]
[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]]]
[1,5,6,3,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]]]
[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]]]
[1,5,6,3,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]]]
[1,5,6,3,7,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]]]
[1,5,6,3,7,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]]]
[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]
[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]
[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[[],[],[],[[[]]]]]=>[[[[[]]],[],[],[]]]
[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[[],[],[],[[[]]]]]=>[[[[[]]],[],[],[]]]
[1,5,6,4,7,2,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]
[1,5,6,4,7,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[[],[],[],[[[]]]]]=>[[[[[]]],[],[],[]]]
[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[[[[[]]],[[[]]]]]=>[[[[[]]],[[[]]]]]
[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[[[[],[]],[[[]]]]]=>[[[[[]]],[[],[]]]]
[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]]]
[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]]]
[1,5,6,7,4,2,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]]]
[1,5,6,7,4,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>[[[],[],[],[[[]]]]]=>[[[[[]]],[],[],[]]]
[1,5,7,2,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]
[1,5,7,2,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]
[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]
[1,5,7,2,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]
[1,5,7,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]
[1,5,7,2,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]
[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]]]
[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]]]
[1,5,7,3,4,2,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]]]
[1,5,7,3,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]]]
[1,5,7,3,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]]]
[1,5,7,3,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]]]
[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]
[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]
[1,5,7,4,3,2,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>[[[],[],[],[[],[]]]]=>[[[[],[]],[],[],[]]]
[1,5,7,4,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>[[[],[],[],[[],[]]]]=>[[[[],[]],[],[],[]]]
[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]
[1,5,7,4,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>[[[],[],[],[[],[]]]]=>[[[[],[]],[],[],[]]]
[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]]]
[1,5,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>[[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]]]
[1,5,7,6,3,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]]]
[1,5,7,6,3,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>[[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]]]
[1,5,7,6,4,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>[[[[]],[],[[],[]]]]=>[[[[],[]],[],[[]]]]
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[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]
[1,6,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]
[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]
[1,6,2,3,5,7,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]
[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]
[1,6,2,3,7,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]
[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]
[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]
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[1,6,2,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]
[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]]]
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[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
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[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]]]
[1,6,2,5,7,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>[[[[],[],[]],[[]]]]=>[[[[]],[[],[],[]]]]
[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[[[[[[]]]],[[]]]]=>[[[[]],[[[[]]]]]]
[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[[[[[],[]]],[[]]]]=>[[[[]],[[[],[]]]]]
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[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
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[1,6,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[1,6,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
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[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[1,6,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
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[1,6,4,5,3,7,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]=>[[[[]],[[]],[],[]]]
[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>[[[],[],[[]],[[]]]]=>[[[[]],[[]],[],[]]]
[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
[1,6,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]]]
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[1,6,5,2,4,7,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>[[[[],[]],[],[[]]]]=>[[[[]],[],[[],[]]]]
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[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,3,6,7,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,3,6,7,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,3,7,1,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]
[2,4,3,7,1,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]
[2,4,3,7,5,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]
[2,4,3,7,5,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]
[2,4,3,7,6,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]
[2,4,3,7,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]
[2,4,5,1,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[]]
[2,4,5,1,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[]]
[2,4,5,1,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[]]
[2,4,5,1,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[]]
[2,4,5,1,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[]]
[2,4,5,1,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[]]
[2,4,5,3,1,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[]]
[2,4,5,3,1,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[]]
[2,4,5,3,6,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[]]
[2,4,5,3,6,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[]]
[2,4,5,3,7,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[]]
[2,4,5,3,7,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[]]
[2,4,5,6,1,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[]]
[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[]]
[2,4,5,6,3,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[]]
[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[]]
[2,4,5,6,7,1,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[]]
[2,4,5,6,7,3,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[[],[[],[[[[]]]]]]=>[[[[[[]]]],[]],[]]
[2,4,5,7,1,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[]]
[2,4,5,7,1,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[]]
[2,4,5,7,3,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[]]
[2,4,5,7,3,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[]]
[2,4,5,7,6,1,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[]]
[2,4,5,7,6,3,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>[[],[[],[[[],[]]]]]=>[[[[[],[]]],[]],[]]
[2,4,6,1,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,1,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,1,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,1,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,1,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,1,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,3,1,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,3,1,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,3,5,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,3,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,3,7,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,3,7,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,5,1,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,5,1,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,5,3,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,5,3,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,5,7,1,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,5,7,3,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,7,1,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,7,1,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,7,3,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,7,3,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,7,5,1,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,6,7,5,3,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[]]
[2,4,7,1,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]
[2,4,7,1,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]
[2,4,7,1,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]
[2,4,7,1,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]
[2,4,7,1,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]
[2,4,7,1,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]
[2,4,7,3,1,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]
[2,4,7,3,1,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]
[2,4,7,3,5,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]
[2,4,7,3,5,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]
[2,4,7,3,6,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]
[2,4,7,3,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]
[2,4,7,5,1,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]
[2,4,7,5,1,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]
[2,4,7,5,3,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]
[2,4,7,5,3,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]
[2,4,7,5,6,1,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]
[2,4,7,5,6,3,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>[[],[[],[[[]],[]]]]=>[[[[],[[]]],[]],[]]
[2,4,7,6,1,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]
[2,4,7,6,1,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]
[2,4,7,6,3,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]
[2,4,7,6,3,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]
[2,4,7,6,5,1,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]
[2,4,7,6,5,3,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[]]
[2,5,1,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,1,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,1,3,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,1,3,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,1,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,1,3,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,1,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,1,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[]]
[2,5,1,4,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,1,4,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,1,4,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[]]
[2,5,1,4,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[]]
[2,5,1,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,1,6,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,1,6,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,1,6,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,1,6,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,1,6,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,1,7,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,1,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,1,7,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[]]
[2,5,1,7,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[]]
[2,5,1,7,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,1,7,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[]]
[2,5,3,1,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,3,1,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,3,1,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,3,1,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,3,1,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,3,1,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,3,4,1,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,3,4,1,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,3,4,6,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,3,4,6,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,3,4,7,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,3,4,7,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,3,6,1,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,3,6,1,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,3,6,4,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,3,6,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,3,6,7,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,3,6,7,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[]]
[2,5,3,7,1,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,3,7,1,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,3,7,4,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,3,7,4,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,3,7,6,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,3,7,6,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[]]
[2,5,4,1,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,4,1,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[]]
[2,5,4,1,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,4,1,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,4,1,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[]]
[2,5,4,1,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[]]
[2,5,4,3,1,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,4,3,1,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[]]
[2,5,4,3,6,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,4,3,6,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,4,3,7,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[]]
[2,5,4,3,7,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>[[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[]]
[2,5,4,6,1,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,4,6,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,4,6,3,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,4,6,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[2,5,4,6,7,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>[[],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[]]
[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]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>[[],[[[]],[],[],[]]]=>[[[],[],[],[[]]],[]]
[2,7,6,5,3,4,1]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>[[],[[[]],[],[],[]]]=>[[[],[],[],[[]]],[]]
[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>[[],[[],[],[],[],[]]]=>[[[],[],[],[],[]],[]]
[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]=>[[],[[],[],[],[],[]]]=>[[[],[],[],[],[]],[]]
[3,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[3,1,2,4,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[3,1,2,4,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,1,2,4,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[3,1,2,4,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[3,1,2,5,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,1,2,5,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,1,2,5,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,1,2,5,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,1,2,5,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,1,2,5,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,1,2,6,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,1,2,6,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,1,2,6,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,1,2,6,5,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,1,2,6,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,1,2,6,7,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,1,2,7,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[3,1,2,7,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[3,1,2,7,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[3,1,2,7,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[3,1,2,7,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[3,1,2,7,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]]]
[3,1,4,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[3,1,4,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[3,1,4,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,1,4,2,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,1,4,2,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[3,1,4,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[3,1,4,5,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[3,1,4,5,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[3,1,4,5,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[3,1,4,5,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[3,1,4,5,7,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[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]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,1,5,4,7,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[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]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,1,5,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,1,5,7,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,1,5,7,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,1,5,7,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,1,5,7,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,1,6,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,1,6,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,1,6,2,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,1,6,2,5,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,1,6,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,1,6,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,1,6,4,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,1,6,4,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,1,6,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,1,6,4,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,1,6,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,1,6,4,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,1,6,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,1,6,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,1,6,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,1,6,5,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,1,6,5,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,1,6,5,7,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[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]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,1,6,7,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,1,7,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[3,1,7,2,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[3,1,7,2,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[3,1,7,2,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[3,1,7,2,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[3,1,7,2,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]]]
[3,1,7,4,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[3,1,7,4,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[3,1,7,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[3,1,7,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[[[]],[[[[]]],[]]]=>[[[],[[[]]]],[[]]]
[3,1,7,4,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[3,1,7,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[[]],[[[],[]],[]]]=>[[[],[[],[]]],[[]]]
[3,1,7,5,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[3,1,7,5,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[3,1,7,5,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[3,1,7,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[3,1,7,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[3,1,7,5,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]]]
[3,1,7,6,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[3,1,7,6,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]]]
[3,1,7,6,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[3,1,7,6,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>[[[]],[[[]],[],[]]]=>[[[],[],[[]]],[[]]]
[3,1,7,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]]]
[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]]]
[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]
[3,2,1,4,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]
[3,2,1,4,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,2,1,4,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,2,1,4,7,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]
[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]
[3,2,1,5,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,2,1,5,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,2,1,5,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,2,1,5,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,2,1,5,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,2,1,5,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,2,1,6,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[]]
[3,2,1,6,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[]]
[3,2,1,6,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,2,1,6,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,2,1,6,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[]]
[3,2,1,6,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,2,1,7,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[],[],[[[[]]],[]]]=>[[[],[[[]]]],[],[]]
[3,2,1,7,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[],[],[[[],[]],[]]]=>[[[],[[],[]]],[],[]]
[3,2,1,7,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[]]
[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[]]
[3,2,1,7,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[],[],[[[]],[],[]]]=>[[[],[],[[]]],[],[]]
[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[]]
[3,2,4,1,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]
[3,2,4,1,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]
[3,2,4,1,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,2,4,1,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,2,4,1,7,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]
[3,2,4,1,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]
[3,2,4,5,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]
[3,2,4,5,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]
[3,2,4,5,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]
[3,2,4,5,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]
[3,2,4,5,7,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]
[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]
[3,2,4,6,1,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,2,4,6,1,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,2,4,6,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,2,4,6,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,2,4,6,7,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,2,4,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,2,4,7,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]
[3,2,4,7,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]
[3,2,4,7,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]
[3,2,4,7,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]
[3,2,4,7,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]
[3,2,4,7,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]
[3,2,5,1,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,2,5,1,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,2,5,1,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,2,5,1,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,2,5,1,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,2,5,1,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,2,5,4,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,2,5,4,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,2,5,4,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,2,5,4,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,2,5,4,7,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,2,5,6,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,2,5,6,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,2,5,6,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,2,5,6,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,2,5,6,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,2,5,6,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,2,5,7,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,2,5,7,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,2,5,7,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,2,5,7,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,2,5,7,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[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]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,2,6,5,1,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,2,6,5,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,2,6,5,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,2,6,5,7,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,2,6,5,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,2,6,7,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[]]
[3,2,6,7,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,2,6,7,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[]]
[3,2,6,7,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[]]
[3,2,6,7,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,2,6,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,2,7,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>[[],[],[[[[]]],[]]]=>[[[],[[[]]]],[],[]]
[3,2,7,1,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>[[],[],[[[],[]],[]]]=>[[[],[[],[]]],[],[]]
[3,2,7,1,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[]]
[3,2,7,1,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[]]
[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]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[]]
[3,2,7,5,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[]]
[3,2,7,5,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[]]
[3,2,7,5,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[]]
[3,2,7,5,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>[[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[]]
[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]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[],[],[[[]],[],[]]]=>[[[],[],[[]]],[],[]]
[3,2,7,6,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>[[],[],[[[]],[],[]]]=>[[[],[],[[]]],[],[]]
[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[]]
[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[]]
[3,4,1,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[3,4,1,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,1,2,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[3,4,1,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[3,4,1,5,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[3,4,1,5,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[3,4,1,5,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[3,4,1,5,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[3,4,1,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[3,4,1,5,7,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[3,4,1,6,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,1,6,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,1,6,5,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,1,6,5,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,1,6,7,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,1,7,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[3,4,1,7,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[3,4,1,7,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[3,4,1,7,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[3,4,1,7,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[3,4,1,7,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[3,4,2,1,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]
[3,4,2,1,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]
[3,4,2,1,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,2,1,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,2,1,7,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]
[3,4,2,1,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]
[3,4,2,5,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]
[3,4,2,5,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]
[3,4,2,5,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]
[3,4,2,5,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]
[3,4,2,5,7,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]
[3,4,2,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]
[3,4,2,6,1,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,2,6,1,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,2,6,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,2,6,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,2,6,7,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,2,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,2,7,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]
[3,4,2,7,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]
[3,4,2,7,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]
[3,4,2,7,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]
[3,4,2,7,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]
[3,4,2,7,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]
[3,4,5,1,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[3,4,5,1,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[3,4,5,1,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[3,4,5,1,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[3,4,5,1,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[3,4,5,1,7,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[3,4,5,2,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]
[3,4,5,2,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]
[3,4,5,2,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]
[3,4,5,2,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]
[3,4,5,2,7,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]
[3,4,5,2,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]
[3,4,5,6,1,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[3,4,5,6,1,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[3,4,5,6,2,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]
[3,4,5,6,2,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]
[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]]]
[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[[],[],[[[[[]]]]]]=>[[[[[[]]]]],[],[]]
[3,4,5,7,1,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[3,4,5,7,1,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[3,4,5,7,2,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]
[3,4,5,7,2,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]
[3,4,5,7,6,1,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[[[]],[[[[],[]]]]]=>[[[[[],[]]]],[[]]]
[3,4,5,7,6,2,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>[[],[],[[[[],[]]]]]=>[[[[[],[]]]],[],[]]
[3,4,6,1,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,6,1,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,6,1,5,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,6,1,5,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,6,1,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,6,1,7,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,6,2,1,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,6,2,1,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,6,2,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,6,2,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,6,2,7,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,6,2,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,6,5,1,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,6,5,1,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,6,5,2,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,6,5,2,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,6,5,7,1,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,6,5,7,2,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,6,7,1,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,6,7,1,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,6,7,2,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,6,7,2,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,6,7,5,1,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[]],[[[],[[]]]]]=>[[[[[]],[]]],[[]]]
[3,4,6,7,5,2,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>[[],[],[[[],[[]]]]]=>[[[[[]],[]]],[],[]]
[3,4,7,1,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[3,4,7,1,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[3,4,7,1,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[3,4,7,1,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[3,4,7,1,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[3,4,7,1,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[3,4,7,2,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]
[3,4,7,2,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]
[3,4,7,2,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]
[3,4,7,2,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]
[3,4,7,2,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]
[3,4,7,2,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]
[3,4,7,5,1,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[3,4,7,5,1,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[3,4,7,5,2,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]
[3,4,7,5,2,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]
[3,4,7,5,6,1,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[[[]],[[[[]],[]]]]=>[[[[],[[]]]],[[]]]
[3,4,7,5,6,2,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>[[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[]]
[3,4,7,6,1,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[3,4,7,6,1,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[3,4,7,6,2,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]
[3,4,7,6,2,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]
[3,4,7,6,5,1,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]]]
[3,4,7,6,5,2,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>[[],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[]]
[3,5,1,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,1,2,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,1,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,1,2,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,1,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,1,2,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,1,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,1,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,1,4,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,1,4,6,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,1,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,1,4,7,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,1,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,1,6,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,1,6,4,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,1,6,4,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,1,6,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,1,6,7,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,1,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,1,7,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,1,7,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,1,7,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,1,7,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,2,1,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,2,1,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,5,2,1,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,2,1,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,2,1,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,5,2,1,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,5,2,4,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,2,4,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,5,2,4,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,2,4,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,2,4,7,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,5,2,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,5,2,6,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,2,6,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,2,6,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,2,6,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,2,6,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,2,6,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,2,7,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,5,2,7,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,5,2,7,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,5,2,7,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,5,2,7,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,5,2,7,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,5,4,1,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,4,1,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,4,1,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,4,1,6,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,4,1,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,4,1,7,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,4,2,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,4,2,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,5,4,2,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,4,2,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,4,2,7,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,5,4,2,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[3,5,4,6,1,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,4,6,1,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,4,6,2,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,4,6,2,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,4,6,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]]]
[3,5,4,6,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,4,7,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,4,7,1,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]]]
[3,5,4,7,2,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>[[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[]]
[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]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[3,5,6,2,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>[[],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[]]
[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]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,6,2,5,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[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]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,6,4,5,1,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,6,4,5,2,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[]]
[3,6,4,5,2,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[]]
[3,6,4,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,6,4,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[]]
[3,6,4,7,1,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,6,4,7,1,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,6,4,7,2,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[]]
[3,6,4,7,2,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[]]
[3,6,4,7,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[[[]],[[[]],[[]]]]=>[[[[]],[[]]],[[]]]
[3,6,4,7,5,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>[[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[]]
[3,6,5,1,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,6,5,1,2,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,6,5,1,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,6,5,1,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,6,5,1,7,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,6,5,2,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,6,5,2,1,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,6,5,2,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[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]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,6,5,4,1,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,6,5,4,2,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,6,5,4,2,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,6,5,4,7,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[3,6,5,4,7,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>[[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[]]
[3,6,5,7,1,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]]]
[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]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]]]
[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]]]
[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>[[],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[]]
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[4,1,2,3,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
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[4,1,2,7,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[4,1,2,7,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[4,1,3,2,5,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
[4,1,3,2,5,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
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[4,1,3,2,6,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[4,1,3,2,7,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
[4,1,3,2,7,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]
[4,1,3,5,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
[4,1,3,5,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[4,1,3,5,6,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
[4,1,3,5,6,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
[4,1,3,5,7,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[4,1,3,5,7,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[4,1,3,6,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[4,1,3,6,2,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[4,1,3,6,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[4,1,3,6,5,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
[4,1,3,6,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
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[4,1,3,7,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
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[4,1,3,7,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]
[4,1,5,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]
[4,1,5,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
[4,1,5,2,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]
[4,1,5,2,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]
[4,1,5,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
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[4,1,5,3,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
[4,1,5,3,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[4,1,5,3,6,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
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[4,1,5,6,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]]]
[4,1,5,6,3,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[[[],[]],[[[[]]]]]=>[[[[[]]]],[[],[]]]
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[4,1,5,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
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[4,1,6,3,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
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[4,1,6,3,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
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[4,1,6,3,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]]]
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[4,1,7,2,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[4,1,7,2,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]]]
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[4,1,7,5,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>[[[],[]],[[[]],[]]]=>[[[],[[]]],[[],[]]]
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[4,1,7,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>[[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]]]
[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]]]
[4,2,1,3,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[]]
[4,2,1,3,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[]]
[4,2,1,3,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[]]
[4,2,1,3,6,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[]]
[4,2,1,3,7,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[]]
[4,2,1,3,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[]]
[4,2,1,5,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[]]
[4,2,1,5,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[]]
[4,2,1,5,6,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[]]
[4,2,1,5,6,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[[],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[]]
[4,2,1,5,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[]]
[4,2,1,5,7,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>[[],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[]]
[4,2,1,6,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[]]
[4,2,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[]]
[4,2,1,6,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[]]
[4,2,1,6,5,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[]]
[4,2,1,6,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[]]
[4,2,1,6,7,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>[[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[]]
[4,2,1,7,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>[[],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[]]
[4,2,1,7,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>[[],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[]]
[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]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]]]
[4,3,5,1,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]]]
[4,3,5,2,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]
[4,3,5,2,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[]]
[4,3,5,2,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]
[4,3,5,2,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]
[4,3,5,2,7,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[]]
[4,3,5,2,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[]]
[4,3,5,6,1,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[]],[],[[[[]]]]]=>[[[[[]]]],[],[[]]]
[4,3,5,6,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[]],[],[[[[]]]]]=>[[[[[]]]],[],[[]]]
[4,3,5,6,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]
[4,3,5,6,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]
[4,3,5,6,7,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[]],[],[[[[]]]]]=>[[[[[]]]],[],[[]]]
[4,3,5,6,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]
[4,3,5,7,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]]]
[4,3,5,7,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]]]
[4,3,5,7,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[]]
[4,3,5,7,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[]]
[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]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[]]
[4,3,6,2,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[]]
[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]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[4,5,1,7,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[4,5,1,7,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]]]
[4,5,1,7,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>[[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]]]
[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]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]]]
[4,5,3,2,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]
[4,5,3,2,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[]]
[4,5,3,2,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]
[4,5,3,2,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]
[4,5,3,2,7,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[]]
[4,5,3,2,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[]]
[4,5,3,6,1,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[]],[],[[[[]]]]]=>[[[[[]]]],[],[[]]]
[4,5,3,6,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[]],[],[[[[]]]]]=>[[[[[]]]],[],[[]]]
[4,5,3,6,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]
[4,5,3,6,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]
[4,5,3,6,7,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[[[]],[],[[[[]]]]]=>[[[[[]]]],[],[[]]]
[4,5,3,6,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[]]
[4,5,3,7,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]]]
[4,5,3,7,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>[[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]]]
[4,5,3,7,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[]]
[4,5,3,7,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>[[],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[]]
[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]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]]]
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[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]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]]]
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[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]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]]]
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[5,3,1,6,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]]]
[5,3,1,6,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]]]
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[5,3,1,7,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]]]
[5,3,1,7,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]]]
[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>[[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]]]
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[5,3,2,1,6,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[]]
[5,3,2,1,6,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[]]
[5,3,2,1,7,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[]]
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[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]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,3,6,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[]]
[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]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,6,3,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,6,7,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[]]
[5,4,2,6,7,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[]]
[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]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[],[[]],[],[[],[]]]=>[[[],[]],[],[[]],[]]
[5,4,3,1,2,6,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]]]
[5,4,3,1,2,7,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[]],[],[],[[],[]]]=>[[[],[]],[],[],[[]]]
[5,4,3,1,6,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]]]
[5,4,3,1,6,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]]]
[5,4,3,1,7,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[]],[],[],[[],[]]]=>[[[],[]],[],[],[[]]]
[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[]],[],[],[[],[]]]=>[[[],[]],[],[],[[]]]
[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[]]
[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[]]
[5,4,3,2,6,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[]]
[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[]]
[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[]]
[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[]]
[5,4,3,6,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]]]
[5,4,3,6,1,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]]]
[5,4,3,6,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[]]
[5,4,3,6,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[]]
[5,4,3,6,7,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]]]
[5,4,3,6,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>[[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[]]
[5,4,3,7,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[]],[],[],[[],[]]]=>[[[],[]],[],[],[[]]]
[5,4,3,7,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[[]],[],[],[[],[]]]=>[[[],[]],[],[],[[]]]
[5,4,3,7,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>[[],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[]]
[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]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>[[[],[]],[],[[[]]]]=>[[[[]]],[],[[],[]]]
[5,4,6,1,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]]]
[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]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[[[[[],[]]]],[[]]]=>[[[]],[[[[],[]]]]]
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[6,2,3,4,1,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[]]
[6,2,3,4,1,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[]]
[6,2,3,4,5,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[]]
[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[]]
[6,2,3,4,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[]]
[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[[],[[[[]]]],[[]]]=>[[[]],[[[[]]]],[]]
[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]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>[[],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[]]
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[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]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>[[],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[]]
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[6,3,1,2,5,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
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[6,3,1,5,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>[[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]]]
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[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]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>[[],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[]]
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[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]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]]]
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[6,4,3,2,5,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[]]
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[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[]]
[6,4,3,5,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]]]
[6,4,3,5,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]]]
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[6,4,3,5,2,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[]]
[6,4,3,5,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]]]
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[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]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]]]
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[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]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]]]
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[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]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[]]
[6,4,7,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[6,4,7,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[6,4,7,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[6,4,7,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[6,4,7,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]]]
[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]]]
[6,4,7,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[]]
[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[]]
[6,4,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[]]
[6,4,7,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[]]
[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[]]
[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[]]
[6,4,7,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]]]
[6,4,7,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]]]
[6,4,7,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[[],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[]]
[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]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]
[6,5,1,2,3,7,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]
[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]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[]]
[6,5,2,3,4,7,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[]]
[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]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[]]
[6,5,2,4,7,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[]]
[6,5,2,4,7,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[]]
[6,5,2,7,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[]]
[6,5,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[]]
[6,5,2,7,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[]]
[6,5,2,7,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[]]
[6,5,2,7,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[]]
[6,5,2,7,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[]]
[6,5,3,1,2,4,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]]]
[6,5,3,1,2,7,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]]]
[6,5,3,1,4,2,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]]]
[6,5,3,1,4,7,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]]]
[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]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[]]
[6,5,3,2,4,7,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[]]
[6,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[]]
[6,5,3,2,7,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[]]
[6,5,3,4,1,2,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]]]
[6,5,3,4,1,7,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]]]
[6,5,3,4,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[]]
[6,5,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[]]
[6,5,3,4,7,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]]]
[6,5,3,4,7,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[]]
[6,5,3,7,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]]]
[6,5,3,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]]]
[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[]]
[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[]]
[6,5,3,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]]]
[6,5,3,7,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[]]
[6,5,4,1,2,3,7]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>[[[[]]],[],[],[[]]]=>[[[]],[],[],[[[]]]]
[6,5,4,1,2,7,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>[[[[]]],[],[],[[]]]=>[[[]],[],[],[[[]]]]
[6,5,4,1,3,2,7]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>[[[],[]],[],[],[[]]]=>[[[]],[],[],[[],[]]]
[6,5,4,1,3,7,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>[[[],[]],[],[],[[]]]=>[[[]],[],[],[[],[]]]
[6,5,4,1,7,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>[[[[]]],[],[],[[]]]=>[[[]],[],[],[[[]]]]
[6,5,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>[[[],[]],[],[],[[]]]=>[[[]],[],[],[[],[]]]
[6,5,4,2,1,3,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[]]
[6,5,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[]]
[6,5,4,2,3,1,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[]]
[6,5,4,2,3,7,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[]]
[6,5,4,2,7,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[]]
[6,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[]]
[6,5,4,3,1,2,7]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>[[[]],[],[],[],[[]]]=>[[[]],[],[],[],[[]]]
[6,5,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>[[[]],[],[],[],[[]]]=>[[[]],[],[],[],[[]]]
[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[]]
[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[]]
[6,5,4,3,7,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>[[[]],[],[],[],[[]]]=>[[[]],[],[],[],[[]]]
[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[]]
[6,5,4,7,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>[[[[]]],[],[],[[]]]=>[[[]],[],[],[[[]]]]
[6,5,4,7,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>[[[],[]],[],[],[[]]]=>[[[]],[],[],[[],[]]]
[6,5,4,7,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[]]
[6,5,4,7,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>[[],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[]]
[6,5,4,7,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>[[[]],[],[],[],[[]]]=>[[[]],[],[],[],[[]]]
[6,5,4,7,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[]]
[6,5,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[[[[[]]]],[],[[]]]=>[[[]],[],[[[[]]]]]
[6,5,7,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>[[[[],[]]],[],[[]]]=>[[[]],[],[[[],[]]]]
[6,5,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]]]
[6,5,7,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>[[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]]]
[6,5,7,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>[[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]]]
[6,5,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>[[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]]]
[6,5,7,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[]]
[6,5,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[]]
[6,5,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[]]
[6,5,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>[[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[]]
[6,5,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[]]
[6,5,7,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>[[],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[]]
[6,5,7,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]]]
[6,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]]]
[6,5,7,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[]]
[6,5,7,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[]]
[6,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>[[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]]]
[6,5,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>[[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[]]
[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]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[[],[],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[],[]]
[6,5,4,7,8,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[[],[],[],[],[],[[[]]]]=>[[[[]]],[],[],[],[],[]]
[5,6,4,7,8,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[],[]]
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[5,6,7,4,3,8,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[[],[],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[],[]]
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[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[],[],[[[[[[]]]]]]]=>[[[[[[[]]]]]],[],[]]
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[7,6,5,8,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[],[[]],[],[],[],[[]]]=>[[[]],[],[],[],[[]],[]]
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[7,5,6,8,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[],[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]],[]]
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[8,7,6,4,5,2,3,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[[],[[]],[[]],[],[],[]]=>[[],[],[],[[]],[[]],[]]
[8,6,7,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[],[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]],[]]
[7,6,8,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[],[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]],[]]
[6,7,8,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[],[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]],[]]
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[8,6,5,4,7,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[[],[[]],[],[],[[]],[]]=>[[],[[]],[],[],[[]],[]]
[8,5,6,4,7,2,3,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[[],[[]],[],[[[]]],[]]=>[[],[[[]]],[],[[]],[]]
[8,6,4,5,7,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[],[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]],[]]
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[7,6,5,4,8,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[],[[]],[],[],[],[[]]]=>[[[]],[],[],[],[[]],[]]
[7,5,6,4,8,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[],[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]],[]]
[6,5,7,4,8,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[],[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]],[]]
[7,6,4,5,8,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[],[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]],[]]
[6,7,4,5,8,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[],[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]],[]]
[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[[],[[]],[[[[[]]]]]]=>[[[[[[]]]]],[[]],[]]
[8,7,6,5,3,2,4,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[[],[],[[]],[],[],[],[]]=>[[],[],[],[],[[]],[],[]]
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[8,6,7,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[],[],[[]],[],[[]],[]]=>[[],[[]],[],[[]],[],[]]
[7,6,8,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[],[],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[],[]]
[6,7,8,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[],[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[],[]]
[8,7,5,6,3,2,4,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[],[],[[]],[[]],[],[]]=>[[],[],[[]],[[]],[],[]]
[8,6,5,7,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[[],[],[[]],[],[[]],[]]=>[[],[[]],[],[[]],[],[]]
[8,5,6,7,3,2,4,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[[],[],[[]],[[[]]],[]]=>[[],[[[]]],[[]],[],[]]
[7,6,5,8,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[[],[],[[]],[],[],[[]]]=>[[[]],[],[],[[]],[],[]]
[6,7,5,8,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[],[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[],[]]
[5,6,7,8,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[],[],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[],[]]
[8,7,6,5,2,3,4,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[[],[[[]]],[],[],[],[]]=>[[],[],[],[],[[[]]],[]]
[8,6,7,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[[],[[[]]],[],[[]],[]]=>[[],[[]],[],[[[]]],[]]
[7,6,8,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[],[[[]]],[],[],[[]]]=>[[[]],[],[],[[[]]],[]]
[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[],[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]],[]]
[8,7,5,6,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[[],[[[]]],[[]],[],[]]=>[[],[],[[]],[[[]]],[]]
[7,8,5,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[],[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]],[]]
[8,6,5,7,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[[],[[[]]],[],[[]],[]]=>[[],[[]],[],[[[]]],[]]
[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[[],[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]],[]]
[7,6,5,8,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[],[[[]]],[],[],[[]]]=>[[[]],[],[],[[[]]],[]]
[6,7,5,8,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[],[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]],[]]
[6,5,7,8,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[],[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]],[]]
[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[],[[[]]],[[[[]]]]]=>[[[[[]]]],[[[]]],[]]
[8,7,6,4,3,2,5,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[[],[],[],[[]],[],[],[]]=>[[],[],[],[[]],[],[],[]]
[7,8,6,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[],[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[],[]]
[8,6,7,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[],[],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[],[]]
[7,6,8,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[],[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[],[]]
[6,7,8,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[],[],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[],[]]
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[7,8,6,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[],[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[],[]]
[8,6,7,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[[],[],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[],[]]
[7,6,8,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[],[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[],[]]
[6,7,8,3,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[],[],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[],[]]
[7,6,8,4,2,3,5,1]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[[],[[]],[[]],[],[[]]]=>[[[]],[],[[]],[[]],[]]
[6,7,8,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[],[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]],[]]
[8,7,6,3,2,4,5,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[[],[],[[[]]],[],[],[]]=>[[],[],[],[[[]]],[],[]]
[7,8,6,3,2,4,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[],[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[],[]]
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[3,4,5,6,2,7,1,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[[],[],[[[[[[]]]]]]]=>[[[[[[[]]]]]],[],[]]
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[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[[[[[[[]],[[]]]]]]]=>[[[[[[[]],[[]]]]]]]
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[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[[[[[[[[]]],[]]]]]]=>[[[[[[],[[[]]]]]]]]
[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[[[[[[[[]],[]]]]]]]=>[[[[[[[],[[]]]]]]]]
[5,3,2,6,1,4,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[],[],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[],[]]
[7,3,2,5,4,8,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[],[],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[],[]]
[8,4,5,2,3,7,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>[[],[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]],[]]
[7,4,5,2,3,8,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[],[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]],[]]
[6,4,5,2,3,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]],[]]
[5,4,6,2,1,3,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[[],[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]],[]]
[3,6,1,5,4,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[]],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[[]]]
[4,6,5,1,3,2,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[],[[],[]]]]=>[[[[],[]],[]],[[],[]]]
[5,6,4,3,1,2,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[[[]],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[[]]]
[7,5,4,3,2,8,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[[],[],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[],[]]
[8,6,4,3,7,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[[],[],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[],[]]
[7,6,4,3,8,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[[],[],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[],[]]
[6,7,4,3,8,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[]],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[[]]]
[5,7,4,3,1,8,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[]],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[[]]]
[4,7,5,1,3,8,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[[]],[[]]]]=>[[[[]],[[]]],[[],[]]]
[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[[]]]
[2,1,7,5,4,8,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[[],[[],[],[[]],[[]]]]=>[[[[]],[[]],[],[]],[]]
[3,8,1,5,4,7,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[]],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[[]]]
[4,8,5,1,3,7,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[[],[]],[]]]=>[[[],[[],[]]],[[],[]]]
[5,8,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[[[]],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[[]]]
[6,8,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[]],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[[]]]
[7,8,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[]],[],[[],[]],[[]]]=>[[[]],[[],[]],[],[[]]]
[6,8,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[]],[[]],[],[[],[]]]=>[[[],[]],[],[[]],[[]]]
[5,8,6,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[[[],[[]]],[[[]],[]]]=>[[[],[[]]],[[[]],[]]]
[4,8,6,1,7,3,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[[[],[]],[[],[[]],[]]]=>[[[],[[]],[]],[[],[]]]
[3,8,1,6,7,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[[]]]
[2,1,8,6,7,4,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[[],[[],[[]],[[]],[]]]=>[[[],[[]],[[]],[]],[]]
[2,1,7,6,8,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[[],[[],[[]],[],[[]]]]=>[[[[]],[],[[]],[]],[]]
[3,7,1,6,8,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[[]]]
[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[[[],[]],[[],[],[[]]]]=>[[[[]],[],[]],[[],[]]]
[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[],[[]]],[[],[[]]]]=>[[[[]],[]],[[[]],[]]]
[5,4,7,2,1,8,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[],[[]],[],[[],[[]]]]=>[[[[]],[]],[],[[]],[]]
[6,4,7,2,8,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[],[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]],[]]
[7,4,6,2,8,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[],[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]],[]]
[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[[],[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]],[]]
[8,3,2,6,7,4,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[[],[],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[],[]]
[7,3,2,6,8,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[[],[],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[],[]]
[6,3,2,7,8,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[[],[],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[],[]]
[5,3,2,7,1,8,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[],[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[],[]]
[4,3,2,1,7,8,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[],[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[],[]]
[3,4,1,2,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[]],[[[],[],[],[]]]]=>[[[[],[],[],[]]],[[]]]
[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[],[],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[],[]]
[6,3,2,8,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[],[]]
[7,3,2,8,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[[],[],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[],[]]
[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[[],[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]],[]]
[7,4,8,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[],[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]],[]]
[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]],[]]
[5,4,8,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[],[[]],[],[[],[],[]]]=>[[[],[],[]],[],[[]],[]]
[4,5,8,1,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[[]]],[[[],[],[]]]]=>[[[[],[],[]]],[[[]]]]
[3,5,1,8,2,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[]],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[[]]]
[2,1,5,8,3,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[],[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]],[]]
[2,1,6,8,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[],[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]],[]]
[3,6,1,8,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[]],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[[]]]
[4,6,8,1,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[[]]],[[],[[],[]]]]=>[[[[],[]],[]],[[[]]]]
[5,6,8,7,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[[[[],[]]],[[[],[]]]]=>[[[[],[]]],[[[],[]]]]
[6,5,8,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[[],[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]],[]]
[7,5,8,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[],[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]],[]]
[8,5,7,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[[],[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]],[]]
[5,7,8,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[[[[]],[]],[[],[[]]]]=>[[[[]],[]],[[],[[]]]]
[4,7,8,1,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[[]]],[[],[],[[]]]]=>[[[[]],[],[]],[[[]]]]
[3,7,1,8,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[[[]],[[],[],[],[[]]]]=>[[[[]],[],[],[]],[[]]]
[2,1,7,8,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[[],[[[]],[],[],[[]]]]=>[[[[]],[],[],[[]]],[]]
[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[[[]],[[],[],[],[],[]]]=>[[[],[],[],[],[]],[[]]]
[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[[[],[]],[[],[],[],[]]]=>[[[],[],[],[]],[[],[]]]
[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[[[],[],[]],[[],[],[]]]=>[[[],[],[]],[[],[],[]]]
[6,8,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[[[],[]],[],[],[[],[]]]=>[[[],[]],[],[],[[],[]]]
[8,7,6,5,4,3,2,1,10,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[[],[],[],[],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[],[],[],[]]
[9,7,6,5,4,3,2,10,1,8]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]=>[[],[],[],[],[],[],[[]],[[]]]=>[[[]],[[]],[],[],[],[],[],[]]
[6,7,8,9,10,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>[[[[[[]]]]],[[[[[]]]]]]=>[[[[[[]]]]],[[[[[]]]]]]
[6,5,4,3,2,1,10,9,8,7]=>[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>[[],[],[],[],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[],[],[],[]]
[4,3,2,1,10,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]=>[[],[],[],[[],[],[],[],[],[]]]=>[[[],[],[],[],[],[]],[],[],[]]
[2,1,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[[],[[],[],[],[],[],[],[],[]]]=>[[[],[],[],[],[],[],[],[]],[]]
[9,10,8,7,6,5,4,3,1,2]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>[[[]],[],[],[],[],[],[],[[]]]=>[[[]],[],[],[],[],[],[],[[]]]
[10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]=>[[],[],[],[],[],[],[],[],[],[]]=>[[],[],[],[],[],[],[],[],[],[]]
[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]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[],[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]],[]]
[6,3,5,1,2,4,7,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[[[]],[[],[]],[[[]]]]=>[[[[]]],[[],[]],[[]]]
[5,3,7,1,2,4,6,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[]],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[[]]]
[5,4,7,1,2,3,6,8]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[]]],[],[[],[[]]]]=>[[[[]],[]],[],[[[]]]]
[6,2,7,1,3,4,5,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[],[[[[]]]],[[[]]]]=>[[[[]]],[[[[]]]],[]]
[6,3,7,1,2,4,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[]],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[[]]]
[6,4,7,1,2,3,5,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[]]],[[]],[[[]]]]=>[[[[]]],[[]],[[[]]]]
[7,3,5,1,2,4,6,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[]],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[[]]]
[7,3,6,1,2,4,5,8]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[]],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[[]]]
[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]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>[[[[]]],[[[]],[]],[]]=>[[],[[],[[]]],[[[]]]]
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[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]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[[],[[]],[[],[[[]]]]]=>[[[[[]]],[]],[[]],[]]
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[3,2,7,8,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[[],[],[[[[]]],[[]]]]=>[[[[]],[[[]]]],[],[]]
[4,3,7,8,1,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[]],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[[]]]
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[8,3,5,6,1,2,4,7]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>[[[]],[[],[[[]]]],[]]=>[[],[[[[]]],[]],[[]]]
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[8,2,5,7,1,3,4,6]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>[[],[[[]],[[],[]]],[]]=>[[],[[[],[]],[[]]],[]]
[8,3,5,7,1,2,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>[[[]],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[[]]]
[8,2,6,7,1,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>[[],[[[[]]],[[]]],[]]=>[[],[[[]],[[[]]]],[]]
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[4,6,3,5,1,2,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[]],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[[]]]
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[3,7,2,5,1,4,6,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[[],[],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[],[]]
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[3,7,2,6,1,4,5,8]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[[],[],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[],[]]
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[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]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[],[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]],[]]
[3,8,2,6,7,1,4,5]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[[],[],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[],[]]
[5,8,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[[],[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]],[]]
[5,8,3,6,7,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[[[]],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[[]]]
[6,8,2,5,7,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[[],[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]],[]]
[6,8,4,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[]]],[[]],[[],[]]]=>[[[],[]],[[]],[[[]]]]
[7,8,2,4,6,1,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[[],[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]],[]]
[7,8,3,4,6,1,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[[[]],[[[],[]]],[[]]]=>[[[]],[[[],[]]],[[]]]
[7,8,2,5,6,1,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[[],[[[]],[[]]],[[]]]=>[[[]],[[[]],[[]]],[]]
[7,8,3,5,6,1,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[]],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[[]]]
[4,3,2,6,8,1,5,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[[],[],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[],[]]
[5,3,2,6,8,1,4,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[],[],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[],[]]
[5,4,2,6,8,1,3,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[[],[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]],[]]
[5,4,3,6,8,1,2,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[[[]],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[[]]]
[6,3,2,5,8,1,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[],[]]
[6,4,3,5,8,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[]],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[[]]]
[6,5,2,4,8,1,3,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[[],[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]],[]]
[4,3,2,7,8,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[],[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[],[]]
[5,3,2,7,8,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[],[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[],[]]
[5,4,2,7,8,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[],[[]],[],[[],[[]]]]=>[[[[]],[]],[],[[]],[]]
[5,4,3,7,8,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[]],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[[]]]
[6,4,2,7,8,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[],[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]],[]]
[6,4,3,7,8,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[]],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[[]]]
[6,5,2,7,8,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[],[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]],[]]
[7,4,2,5,8,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[],[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]],[]]
[7,4,3,5,8,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[[[]],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[[]]]
[7,5,2,6,8,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[],[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]],[]]
[7,5,3,6,8,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[[[]],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[[]]]
[7,6,2,4,8,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[[],[[],[[]]],[],[[]]]=>[[[]],[],[[[]],[]],[]]
[7,6,3,5,8,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[[[]],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[[]]]
[8,3,2,5,7,1,4,6]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>[[],[],[[],[[],[]]],[]]=>[[],[[[],[]],[]],[],[]]
[8,4,2,5,7,1,3,6]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>[[],[[]],[[[],[]]],[]]=>[[],[[[],[]]],[[]],[]]
[8,5,2,4,7,1,3,6]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[[],[[],[]],[[],[]],[]]=>[[],[[],[]],[[],[]],[]]
[8,3,2,6,7,1,4,5]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[[],[],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[],[]]
[8,5,2,6,7,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[[],[[[]]],[[[]]],[]]=>[[],[[[]]],[[[]]],[]]
[8,5,3,6,7,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[[[]],[[]],[[[]]],[]]=>[[],[[[]]],[[]],[[]]]
[8,6,2,4,7,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[[],[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]],[]]
[8,6,2,5,7,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>[[],[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]],[]]
[8,6,3,5,7,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>[[[]],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[[]]]
[8,7,2,4,6,1,3,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[[],[[],[[],[]]],[],[]]=>[[],[],[[[],[]],[]],[]]
[8,7,3,4,6,1,2,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[[[]],[[[],[]]],[],[]]=>[[],[],[[[],[]]],[[]]]
[8,7,2,5,6,1,3,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>[[],[[[]],[[]]],[],[]]=>[[],[],[[[]],[[]]],[]]
[4,3,7,2,6,1,5,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[[],[],[],[[],[],[[]]]]=>[[[[]],[],[]],[],[],[]]
[5,3,7,2,6,1,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[[],[],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[],[]]
[5,4,7,2,6,1,3,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[],[[]],[],[[],[[]]]]=>[[[[]],[]],[],[[]],[]]
[6,3,7,2,5,1,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[[],[],[[],[]],[[[]]]]=>[[[[]]],[[],[]],[],[]]
[6,4,7,2,5,1,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[],[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]],[]]
[6,4,7,3,5,1,2,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[]],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[[]]]
[7,3,6,2,5,1,4,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[[],[],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[],[]]
[4,3,8,2,6,1,5,7]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[[],[],[],[[],[[]],[]]]=>[[[],[[]],[]],[],[],[]]
[5,3,8,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[[],[],[[]],[[[]],[]]]=>[[[],[[]]],[[]],[],[]]
[5,4,8,2,6,1,3,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[[],[[]],[],[[[]],[]]]=>[[[],[[]]],[],[[]],[]]
[5,4,8,3,6,1,2,7]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[[[]],[],[],[[[]],[]]]=>[[[],[[]]],[],[],[[]]]
[6,3,8,2,5,1,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[],[]]
[6,4,8,2,5,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]],[]]
[6,4,8,3,5,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[]],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[[]]]
[6,5,8,2,4,1,3,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[[],[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]],[]]
[6,5,8,3,4,1,2,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[]],[[]],[],[[],[]]]=>[[[],[]],[],[[]],[[]]]
[4,3,8,2,7,1,5,6]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[[],[],[],[[[]],[],[]]]=>[[[],[],[[]]],[],[],[]]
[5,3,8,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[],[],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[],[]]
[5,4,8,2,7,1,3,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[],[[]],[],[[],[],[]]]=>[[[],[],[]],[],[[]],[]]
[5,4,8,3,7,1,2,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[[[]],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[[]]]
[6,3,8,2,7,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[[],[],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[],[]]
[6,4,8,2,7,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]],[]]
[7,3,8,2,5,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[[],[],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[],[]]
[7,4,8,3,5,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[[[]],[],[[[]]],[[]]]=>[[[]],[[[]]],[],[[]]]
[7,5,8,2,4,1,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[],[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]],[]]
[7,5,8,2,6,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[[],[[[]]],[[]],[[]]]=>[[[]],[[]],[[[]]],[]]
[7,5,8,4,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[[[[]]],[],[[]],[[]]]=>[[[]],[[]],[],[[[]]]]
[7,6,8,2,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>[[],[[[]],[]],[],[[]]]=>[[[]],[],[[],[[]]],[]]
[7,6,8,3,5,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[[[]],[[],[]],[],[[]]]=>[[[]],[],[[],[]],[[]]]
[8,3,6,2,5,1,4,7]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[[],[],[[],[],[[]]],[]]=>[[],[[[]],[],[]],[],[]]
[8,4,6,2,5,1,3,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[[],[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]],[]]
[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]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[[],[],[[[]],[],[]],[]]=>[[],[[],[],[[]]],[],[]]
[8,4,7,2,6,1,3,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[[],[[]],[[],[],[]],[]]=>[[],[[],[],[]],[[]],[]]
[8,4,7,3,6,1,2,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[[[]],[],[[],[],[]],[]]=>[[],[[],[],[]],[],[[]]]
[8,5,7,2,6,1,3,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[[],[[[]]],[[],[]],[]]=>[[],[[],[]],[[[]]],[]]
[8,6,7,2,4,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[[],[[],[[]]],[[]],[]]=>[[],[[]],[[[]],[]],[]]
[8,6,7,2,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>[[],[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]],[]]
[8,6,7,3,5,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>[[[]],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[[]]]
[5,4,3,2,7,1,6,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[[],[],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[],[]]
[6,4,3,2,7,1,5,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[[],[],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[],[]]
[6,5,3,2,7,1,4,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[[],[],[[]],[],[[[]]]]=>[[[[]]],[],[[]],[],[]]
[6,5,4,2,7,1,3,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[[],[[]],[],[],[[[]]]]=>[[[[]]],[],[],[[]],[]]
[7,5,3,2,6,1,4,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[],[],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[],[]]
[7,5,4,2,6,1,3,8]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[],[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]],[]]
[5,4,3,2,8,1,6,7]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[[],[],[],[],[[[]],[]]]=>[[[],[[]]],[],[],[],[]]
[6,5,3,2,8,1,4,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[[],[],[[]],[],[[],[]]]=>[[[],[]],[],[[]],[],[]]
[6,5,4,2,8,1,3,7]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[[],[[]],[],[],[[],[]]]=>[[[],[]],[],[],[[]],[]]
[6,5,4,3,8,1,2,7]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[[[]],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[[]]]
[7,5,3,2,8,1,4,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[],[],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[],[]]
[7,5,4,2,8,1,3,6]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[[],[[]],[],[[]],[[]]]=>[[[]],[[]],[],[[]],[]]
[7,6,3,2,8,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[[],[],[[[]]],[],[[]]]=>[[[]],[],[[[]]],[],[]]
[7,6,4,3,8,1,2,5]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[[[]],[],[[]],[],[[]]]=>[[[]],[],[[]],[],[[]]]
[7,6,5,2,8,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[[],[[[]]],[],[],[[]]]=>[[[]],[],[],[[[]]],[]]
[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]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[[],[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]],[]]
[8,5,3,2,7,1,4,6]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[[],[],[[]],[[],[]],[]]=>[[],[[],[]],[[]],[],[]]
[8,6,3,2,7,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[[],[],[[[]]],[[]],[]]=>[[],[[]],[[[]]],[],[]]
[8,6,4,3,7,1,2,5]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[[[]],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[[]]]
[8,7,3,2,5,1,4,6]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[[],[],[[],[[]]],[],[]]=>[[],[],[[[]],[]],[],[]]
[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]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[[[]],[[]],[[]],[],[]]=>[[],[],[[]],[[]],[[]]]
[8,7,6,2,4,1,3,5]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[[],[[],[[]]],[],[],[]]=>[[],[],[],[[[]],[]],[]]
[8,7,6,2,5,1,3,4]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>[[],[[[]],[]],[],[],[]]=>[[],[],[],[[],[[]]],[]]
[8,7,6,3,5,1,2,4]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>[[[]],[[],[]],[],[],[]]=>[[],[],[],[[],[]],[[]]]
[4,8,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[[],[],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[],[]]
[5,8,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[[],[],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[],[]]
[5,8,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[],[[]],[],[[],[],[]]]=>[[[],[],[]],[],[[]],[]]
[5,8,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[[[]],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[[]]]
[6,8,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[],[]]
[6,8,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]],[]]
[6,8,4,7,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[]],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[[]]]
[6,8,5,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[[],[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]],[]]
[6,8,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[[[]],[[]],[],[[],[]]]=>[[[],[]],[],[[]],[[]]]
[7,8,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[[],[],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[],[]]
[7,8,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[],[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]],[]]
[7,8,4,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[[[]],[],[[],[]],[[]]]=>[[[]],[[],[]],[],[[]]]
[7,8,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[[],[[],[]],[[]],[[]]]=>[[[]],[[]],[[],[]],[]]
[5,4,3,8,2,7,1,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[[],[],[],[],[[],[],[]]]=>[[[],[],[]],[],[],[],[]]
[6,4,3,8,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[[],[],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[],[]]
[6,5,3,8,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[[],[],[[]],[],[[],[]]]=>[[[],[]],[],[[]],[],[]]
[6,5,4,8,3,7,1,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[[[]],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[[]]]
[7,4,3,8,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[[],[],[],[[],[]],[[]]]=>[[[]],[[],[]],[],[],[]]
[7,5,3,8,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[[],[],[[]],[[]],[[]]]=>[[[]],[[]],[[]],[],[]]
[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]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[[],[[]],[],[[],[]],[]]=>[[],[[],[]],[],[[]],[]]
[8,5,4,7,3,6,1,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>[[[]],[],[],[[],[]],[]]=>[[],[[],[]],[],[],[[]]]
[8,6,3,7,2,5,1,4]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[],[],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[],[]]
[8,6,4,7,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[[],[[]],[[]],[[]],[]]=>[[],[[]],[[]],[[]],[]]
[8,6,4,7,3,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[[[]],[],[[]],[[]],[]]=>[[],[[]],[[]],[],[[]]]
[8,6,5,7,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[[],[[],[]],[],[[]],[]]=>[[],[[]],[],[[],[]],[]]
[8,7,3,6,2,5,1,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[[],[],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[],[]]
[8,7,4,6,2,5,1,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[[],[[]],[[],[]],[],[]]=>[[],[],[[],[]],[[]],[]]
[8,7,4,6,3,5,1,2]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>[[[]],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[[]]]
[8,7,5,6,2,4,1,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>[[],[[],[]],[[]],[],[]]=>[[],[],[[]],[[],[]],[]]
[6,5,4,3,2,8,1,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[[],[],[],[],[],[[],[]]]=>[[[],[]],[],[],[],[],[]]
[7,6,5,4,2,8,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[[],[[]],[],[],[],[[]]]=>[[[]],[],[],[],[[]],[]]
[8,5,4,3,2,7,1,6]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[[],[],[],[],[[],[]],[]]=>[[],[[],[]],[],[],[],[]]
[8,7,4,3,2,6,1,5]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>[[],[],[],[[],[]],[],[]]=>[[],[],[[],[]],[],[],[]]
[8,7,5,3,2,6,1,4]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[[],[],[[]],[[]],[],[]]=>[[],[],[[]],[[]],[],[]]
[8,7,5,4,2,6,1,3]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[[],[[]],[],[[]],[],[]]=>[[],[],[[]],[],[[]],[]]
[8,7,6,3,2,5,1,4]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[[],[],[[],[]],[],[],[]]=>[[],[],[],[[],[]],[],[]]
[8,7,6,4,2,5,1,3]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[[],[[]],[[]],[],[],[]]=>[[],[],[],[[]],[[]],[]]
[8,7,6,5,2,4,1,3]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[[],[[],[]],[],[],[],[]]=>[[],[],[],[],[[],[]],[]]
[8,1,2,3,4,7,5,6]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[[[[[[[]],[]]]]],[]]=>[[],[[[[[],[[]]]]]]]
[8,1,2,3,6,4,5,7]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>[[[[[[]],[[]]]]],[]]=>[[],[[[[[]],[[]]]]]]
[8,1,2,3,7,4,5,6]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[[[[[[[]]],[]]]],[]]=>[[],[[[[],[[[]]]]]]]
[7,1,2,3,6,4,8,5]=>[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>[[[[[[]],[]]]],[[]]]=>[[[]],[[[[],[[]]]]]]
[5,1,2,3,8,7,4,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[[[[[]]]],[[],[],[]]]=>[[[],[],[]],[[[[]]]]]
[8,1,2,3,6,7,4,5]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>[[[[[[]],[[]]]]],[]]=>[[],[[[[[]],[[]]]]]]
[4,1,2,8,3,7,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[[[[]]],[[[]],[],[]]]=>[[[],[],[[]]],[[[]]]]
[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[[[[[]],[[[]]]]],[]]=>[[],[[[[[]]],[[]]]]]
[7,1,2,5,3,4,8,6]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[[[[[]],[[]]]],[[]]]=>[[[]],[[[[]],[[]]]]]
[8,1,2,6,3,4,5,7]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>[[[[[[]]],[[]]]],[]]=>[[],[[[[]],[[[]]]]]]
[7,1,2,6,3,4,8,5]=>[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[[[[[[]]],[]]],[[]]]=>[[[]],[[[],[[[]]]]]]
[6,1,2,5,3,8,4,7]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>[[[[[]],[]]],[[],[]]]=>[[[],[]],[[[],[[]]]]]
[8,1,2,5,3,7,4,6]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]=>[[[[[]],[[],[]]]],[]]=>[[],[[[[],[]],[[]]]]]
[8,1,2,6,3,7,4,5]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>[[[[[[]]],[[]]]],[]]=>[[],[[[[]],[[[]]]]]]
[6,1,2,5,3,7,8,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[[[[[]],[]]],[[[]]]]=>[[[[]]],[[[],[[]]]]]
[4,1,2,8,6,3,5,7]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[[[[]]],[[],[[]],[]]]=>[[[],[[]],[]],[[[]]]]
[4,1,2,8,7,3,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[[[[]]],[[[]],[],[]]]=>[[[],[],[[]]],[[[]]]]
[4,1,2,7,6,3,8,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[[]]],[[],[],[[]]]]=>[[[[]],[],[]],[[[]]]]
[8,1,2,5,6,3,4,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[[[[[]],[[[]]]]],[]]=>[[],[[[[[]]],[[]]]]]
[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]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[[]]]
[3,1,5,2,8,7,4,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[]],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[[]]]
[3,1,8,2,6,7,4,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[[]]]
[8,1,4,2,3,5,6,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[[[[]],[[[[]]]]],[]]=>[[],[[[[[]]]],[[]]]]
[7,1,4,2,3,5,8,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[[[[]],[[[]]]],[[]]]=>[[[]],[[[[]]],[[]]]]
[6,1,4,2,3,8,5,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[[[[]],[[]]],[[],[]]]=>[[[],[]],[[[]],[[]]]]
[8,1,4,2,3,7,5,6]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>[[[[]],[[[]],[]]],[]]=>[[],[[[],[[]]],[[]]]]
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[6,1,8,2,3,7,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[[[[[[]]]]],[[],[]]]=>[[[],[]],[[[[[]]]]]]
[6,1,5,2,3,7,8,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[[[[[]]],[]],[[[]]]]=>[[[[]]],[[],[[[]]]]]
[5,1,4,2,8,3,6,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[[[[]],[]],[[[]],[]]]=>[[[],[[]]],[[],[[]]]]
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[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[[[[]],[[],[[]]]],[]]=>[[],[[[[]],[]],[[]]]]
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[7,1,4,2,6,3,8,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[[]],[[],[]]],[[]]]=>[[[]],[[[],[]],[[]]]]
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[8,1,4,2,6,7,3,5]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[[[[]],[[],[[]]]],[]]=>[[],[[[[]],[]],[[]]]]
[8,1,5,2,6,7,3,4]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>[[[[[]]],[[[]]]],[]]=>[[],[[[[]]],[[[]]]]]
[5,1,4,2,6,7,8,3]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[[[[]],[]],[[[[]]]]]=>[[[[[]]]],[[],[[]]]]
[3,1,4,8,2,7,5,6]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[[[]],[[[[]],[],[]]]]=>[[[[],[],[[]]]],[[]]]
[3,1,8,5,2,4,6,7]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[[[]],[[],[[[]]],[]]]=>[[[],[[[]]],[]],[[]]]
[3,1,7,5,2,4,8,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[[]]]
[3,1,8,6,2,4,5,7]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[[]]]
[3,1,7,6,2,4,8,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[[]]]
[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[]],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[[]]]
[3,1,8,5,2,7,4,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[]],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[[]]]
[3,1,8,6,2,7,4,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[[]]]
[3,1,6,5,2,7,8,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[[]]]
[8,1,4,5,2,3,6,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[[[[]],[[[[]]]]],[]]=>[[],[[[[[]]]],[[]]]]
[7,1,4,5,2,3,8,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[[[[]],[[[]]]],[[]]]=>[[[]],[[[[]]],[[]]]]
[8,1,4,6,2,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[[[[]],[[],[[]]]],[]]=>[[],[[[[]],[]],[[]]]]
[7,1,4,8,2,3,5,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[[[[]],[[[]]]],[[]]]=>[[[]],[[[[]]],[[]]]]
[7,1,4,6,2,3,8,5]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[[[[]],[[],[]]],[[]]]=>[[[]],[[[],[]],[[]]]]
[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[[[[[]]],[],[[]]],[]]=>[[],[[[]],[],[[[]]]]]
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[7,1,8,6,2,3,4,5]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[[[[[[]]]],[]],[[]]]=>[[[]],[[],[[[[]]]]]]
[7,1,6,5,2,3,8,4]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>[[[[[]]],[],[]],[[]]]=>[[[]],[[],[],[[[]]]]]
[6,1,4,5,2,8,3,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[[[[]],[[]]],[[],[]]]=>[[[],[]],[[[]],[[]]]]
[8,1,4,5,2,7,3,6]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>[[[[]],[[[],[]]]],[]]=>[[],[[[[],[]]],[[]]]]
[8,1,4,6,2,7,3,5]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[[[[]],[[],[[]]]],[]]=>[[],[[[[]],[]],[[]]]]
[8,1,6,5,2,7,3,4]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[[[[[]]],[],[[]]],[]]=>[[],[[[]],[],[[[]]]]]
[6,1,4,5,2,7,8,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[[[[]],[[]]],[[[]]]]=>[[[[]]],[[[]],[[]]]]
[3,1,4,8,6,2,5,7]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[[[]],[[[],[[]],[]]]]=>[[[[],[[]],[]]],[[]]]
[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]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[[]]]
[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[[[[]],[[[[]]]]],[]]=>[[],[[[[[]]]],[[]]]]
[8,1,4,5,7,2,3,6]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>[[[[]],[[[],[]]]],[]]=>[[],[[[[],[]]],[[]]]]
[8,1,4,7,6,2,3,5]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[[[[]],[[],[],[]]],[]]=>[[],[[[],[],[]],[[]]]]
[8,1,7,5,6,2,3,4]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]=>[[[[[]]],[[]],[]],[]]=>[[],[[],[[]],[[[]]]]]
[7,1,4,5,6,2,8,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[[[[]],[[[]]]],[[]]]=>[[[]],[[[[]]],[[]]]]
[3,1,4,5,8,7,2,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[[[]],[[[[],[],[]]]]]=>[[[[[],[],[]]]],[[]]]
[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]=>[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>[[],[[[[[]]],[]],[]]]=>[[[],[[],[[[]]]]],[]]
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[6,5,4,1,2,3,8,7]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[[[[]]],[],[],[[],[]]]=>[[[],[]],[],[],[[[]]]]
[7,5,4,1,2,8,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[[[[]]],[],[[]],[[]]]=>[[[]],[[]],[],[[[]]]]
[8,6,4,1,7,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[[[[]]],[[]],[[]],[]]=>[[],[[]],[[]],[[[]]]]
[7,6,4,1,8,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[[[[]]],[[]],[],[[]]]=>[[[]],[],[[]],[[[]]]]
[6,7,4,1,8,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[]]],[[]],[[[]]]]=>[[[[]]],[[]],[[[]]]]
[5,7,4,1,2,8,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[]]],[],[[],[[]]]]=>[[[[]],[]],[],[[[]]]]
[4,7,5,1,2,8,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[[]]],[[[]],[[]]]]=>[[[[]],[[]]],[[[]]]]
[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[[]]]
[2,1,7,5,3,8,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[[],[[[]],[[]],[[]]]]=>[[[[]],[[]],[[]]],[]]
[2,1,8,5,3,7,4,6]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>[[],[[[]],[[],[]],[]]]=>[[[],[[],[]],[[]]],[]]
[3,8,1,5,2,7,4,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[]],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[[]]]
[4,8,5,1,2,7,3,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[[[[]]],[[[],[]],[]]]=>[[[],[[],[]]],[[[]]]]
[5,8,4,1,2,7,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[[[[]]],[],[[],[],[]]]=>[[[],[],[]],[],[[[]]]]
[6,8,4,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[]]],[[]],[[],[]]]=>[[[],[]],[[]],[[[]]]]
[8,7,4,1,6,2,3,5]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[[[[]]],[[],[]],[],[]]=>[[],[],[[],[]],[[[]]]]
[5,8,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[[[[[]]]],[[[]],[]]]=>[[[],[[]]],[[[[]]]]]
[4,8,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[[[[]]],[[],[[]],[]]]=>[[[],[[]],[]],[[[]]]]
[3,8,1,6,7,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[[]]]
[2,1,8,6,7,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[[],[[[[]]],[[]],[]]]=>[[[],[[]],[[[]]]],[]]
[2,1,7,6,8,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[[],[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]],[]]
[3,7,1,6,8,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[[]]]
[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[[]]],[[],[],[[]]]]=>[[[[]],[],[]],[[[]]]]
[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[[[]]]],[[],[[]]]]=>[[[[]],[]],[[[[]]]]]
[5,4,7,1,2,8,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[]]],[],[[],[[]]]]=>[[[[]],[]],[],[[[]]]]
[6,4,7,1,8,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[[[[]]],[[]],[[[]]]]=>[[[[]]],[[]],[[[]]]]
[7,4,6,1,8,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[]]],[[],[]],[[]]]=>[[[]],[[],[]],[[[]]]]
[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[[[[]]],[[],[[]]],[]]=>[[],[[[]],[]],[[[]]]]
[8,3,1,6,7,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[[[]],[[[]],[[]]],[]]=>[[],[[[]],[[]]],[[]]]
[7,3,1,6,8,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[]],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[[]]]
[6,3,1,7,8,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[[[]],[[[]]],[[[]]]]=>[[[[]]],[[[]]],[[]]]
[5,3,1,7,2,8,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[]],[[]],[[],[[]]]]=>[[[[]],[]],[[]],[[]]]
[4,3,1,2,7,8,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[]],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[[]]]
[2,1,4,3,8,7,5,6]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[[],[[],[[[]],[],[]]]]=>[[[[],[],[[]]],[]],[]]
[3,4,1,2,8,7,5,6]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[[[]],[[[[]],[],[]]]]=>[[[[],[],[[]]]],[[]]]
[6,3,1,8,7,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[]],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[[]]]
[7,3,1,8,6,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[]],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[[]]]
[8,4,7,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>[[[[]]],[[],[],[]],[]]=>[[],[[],[],[]],[[[]]]]
[7,4,8,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[[[[]]],[[],[]],[[]]]=>[[[]],[[],[]],[[[]]]]
[5,4,8,1,2,7,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[[[[]]],[],[[],[],[]]]=>[[[],[],[]],[],[[[]]]]
[4,5,8,1,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[[]]],[[[],[],[]]]]=>[[[[],[],[]]],[[[]]]]
[3,5,1,8,2,7,4,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[]],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[[]]]
[2,1,5,8,3,7,4,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[],[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]],[]]
[2,1,6,8,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[[],[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]],[]]
[3,6,1,8,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[[]]]
[4,6,8,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[[]]],[[],[[],[]]]]=>[[[[],[]],[]],[[[]]]]
[5,6,8,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[[[[[]]]],[[[],[]]]]=>[[[[],[]]],[[[[]]]]]
[7,5,8,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[[[[[]]]],[[]],[[]]]=>[[[]],[[]],[[[[]]]]]
[8,5,7,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[[[[[]]]],[[],[]],[]]=>[[],[[],[]],[[[[]]]]]
[5,7,8,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[[[]]]],[[],[[]]]]=>[[[[]],[]],[[[[]]]]]
[4,7,8,1,6,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[[]]],[[],[],[[]]]]=>[[[[]],[],[]],[[[]]]]
[3,7,1,8,6,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[[]]]
[2,1,7,8,6,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[[],[[[[]]],[],[[]]]]=>[[[[]],[],[[[]]]],[]]
[2,1,8,7,6,3,4,5]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[[],[[[[]]],[],[],[]]]=>[[[],[],[],[[[]]]],[]]
[3,8,1,7,6,2,4,5]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[[[]],[[[]],[],[],[]]]=>[[[],[],[],[[]]],[[]]]
[4,8,7,1,6,2,3,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[[]]],[[],[],[],[]]]=>[[[],[],[],[]],[[[]]]]
[5,8,7,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[[[[[]]]],[[],[],[]]]=>[[[],[],[]],[[[[]]]]]
[6,8,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[[[[[]]]],[],[[],[]]]=>[[[],[]],[],[[[[]]]]]
[6,4,7,3,8,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[]],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[[]]]
[6,4,7,3,5,8,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[[[]],[],[[]],[[[]]]]=>[[[[]]],[[]],[],[[]]]
[6,4,7,2,5,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[],[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]],[]]
[5,4,2,7,6,1,3,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[],[[]],[],[[],[[]]]]=>[[[[]],[]],[],[[]],[]]
[5,4,2,7,6,1,8,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[],[[]],[],[[],[[]]]]=>[[[[]],[]],[],[[]],[]]
[5,4,3,7,6,8,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[]],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[[]]]
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[6,4,8,3,5,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[[[]],[],[[]],[[],[]]]=>[[[],[]],[[]],[],[[]]]
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[5,4,3,6,8,7,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[[[]],[],[],[[[],[]]]]=>[[[[],[]]],[],[],[[]]]
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[5,4,2,6,7,1,3,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[[],[[]],[],[[[[]]]]]=>[[[[[]]]],[],[[]],[]]
[5,3,2,6,1,7,4,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[],[],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[],[]]
[5,3,2,6,1,7,8,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[[],[],[[]],[[[[]]]]]=>[[[[[]]]],[[]],[],[]]
[5,3,2,6,1,8,7,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[],[],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[],[]]
[5,4,2,6,8,1,7,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[[],[[]],[],[[[],[]]]]=>[[[[],[]]],[],[[]],[]]
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[6,4,8,2,5,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[[],[[]],[[]],[[],[]]]=>[[[],[]],[[]],[[]],[]]
[7,8,4,2,5,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[],[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]],[]]
[7,8,4,2,5,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[[],[[]],[[[]]],[[]]]=>[[[]],[[[]]],[[]],[]]
[5,4,2,8,6,1,3,7]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[[],[[]],[],[[[]],[]]]=>[[[],[[]]],[],[[]],[]]
[5,3,2,6,1,8,4,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[[],[],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[],[]]
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[6,3,8,2,1,5,4,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[[],[],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[],[]]
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[4,3,2,1,7,5,6,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[],[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[],[]]
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[4,3,2,1,8,5,6,7]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[[],[],[],[[[[]]],[]]]=>[[[],[[[]]]],[],[],[]]
[4,3,2,1,5,8,6,7]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[[],[],[],[[[[]],[]]]]=>[[[[],[[]]]],[],[],[]]
[7,8,5,6,1,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[[[[],[]]],[[]],[[]]]=>[[[]],[[]],[[[],[]]]]
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[7,8,3,1,2,6,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[[[]],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[[]]]
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[7,8,2,4,6,1,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[[],[[],[[],[]]],[[]]]=>[[[]],[[[],[]],[]],[]]
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[7,8,1,2,3,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[[[[[],[],[]]]],[[]]]=>[[[]],[[[[],[],[]]]]]
[6,1,8,2,3,7,5,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>[[[[[],[]]]],[[],[]]]=>[[[],[]],[[[[],[]]]]]
[1,6,8,2,3,7,5,4]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[[[[[],[]]],[[],[]]]]=>[[[[],[]],[[[],[]]]]]
[1,5,2,8,3,7,6,4]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[[[[[]]],[[],[],[]]]]=>[[[[],[],[]],[[[]]]]]
[5,1,2,8,3,7,6,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[[[[[]]]],[[],[],[]]]=>[[[],[],[]],[[[[]]]]]
[5,2,1,8,3,7,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[],[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]],[]]
[6,2,8,1,3,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[[],[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]],[]]
[6,2,8,3,1,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[[],[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]],[]]
[6,2,8,4,7,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[],[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]],[]]
[6,3,8,4,7,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[[[]],[[[]]],[[],[]]]=>[[[],[]],[[[]]],[[]]]
[3,6,8,4,7,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[[]]]
[2,6,8,4,7,1,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[],[[]],[[],[]]]]=>[[[[],[]],[[]],[]],[]]
[2,6,8,3,1,7,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[],[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]],[]]
[2,6,8,1,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[],[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]],[]]
[2,5,1,8,3,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[],[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]],[]]
[1,2,5,8,3,7,6,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[[[[[]],[[],[],[]]]]]=>[[[[[],[],[]],[[]]]]]
[2,4,1,3,8,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[[],[[],[[],[],[],[]]]]=>[[[[],[],[],[]],[]],[]]
[2,5,3,8,1,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[],[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]],[]]
[2,5,4,8,7,1,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[[],[[],[],[[],[],[]]]]=>[[[[],[],[]],[],[]],[]]
[3,5,4,8,7,6,1,2]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[]],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[[]]]
[5,3,4,8,7,6,1,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[]],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[[]]]
[5,2,4,8,7,1,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[],[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]],[]]
[5,2,3,8,1,7,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[],[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]],[]]
[4,2,1,3,8,7,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[[],[[]],[[],[],[],[]]]=>[[[],[],[],[]],[[]],[]]
[4,1,2,3,8,7,6,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[[[[]]],[[],[],[],[]]]=>[[[],[],[],[]],[[[]]]]
[1,4,2,3,8,7,6,5]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[[[[]],[[],[],[],[]]]]=>[[[[],[],[],[]],[[]]]]
[4,1,3,2,8,7,6,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[[[],[]],[[],[],[],[]]]=>[[[],[],[],[]],[[],[]]]
[4,3,1,2,8,7,6,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[[[]],[],[[],[],[],[]]]=>[[[],[],[],[]],[],[[]]]
[6,3,8,1,2,7,5,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[[[]],[[],[]],[[],[]]]=>[[[],[]],[[],[]],[[]]]
[5,3,1,8,2,7,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[]],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[[]]]
[5,1,3,8,2,7,6,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[[[],[[]]],[[],[],[]]]=>[[[],[],[]],[[[]],[]]]
[1,5,3,8,2,7,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[[[],[[]],[[],[],[]]]]=>[[[[],[],[]],[[]],[]]]
[1,5,4,8,7,2,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[[[[]],[],[[],[],[]]]]=>[[[[],[],[]],[],[[]]]]
[5,1,4,8,7,2,6,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[[[[]],[]],[[],[],[]]]=>[[[],[],[]],[[],[[]]]]
[5,4,1,8,7,2,6,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[[[[]]],[],[[],[],[]]]=>[[[],[],[]],[],[[[]]]]
[6,4,8,1,7,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[[[[]]],[[]],[[],[]]]=>[[[],[]],[[]],[[[]]]]
[6,5,8,7,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[[[[],[]]],[],[[],[]]]=>[[[],[]],[],[[[],[]]]]
[5,6,8,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[[[]],[[]],[[[],[]]]]=>[[[[],[]]],[[]],[[]]]
[5,6,8,7,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[[],[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]],[]]
[4,5,1,8,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[[]]],[[[],[],[]]]]=>[[[[],[],[]]],[[[]]]]
[4,1,5,8,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[[]]],[[[],[],[]]]]=>[[[[],[],[]]],[[[]]]]
[1,4,5,8,7,2,6,3]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[[[[]],[[[],[],[]]]]]=>[[[[[],[],[]]],[[]]]]
[1,3,5,8,2,7,6,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[[[],[[],[[],[],[]]]]]=>[[[[[],[],[]],[]],[]]]
[3,1,5,8,2,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[]],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[[]]]
[3,6,8,1,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[]],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[[]]]
[3,6,8,2,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[[],[],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[],[]]
[4,6,8,2,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[],[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]],[]]
[4,6,8,3,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[[[]],[],[[],[[],[]]]]=>[[[[],[]],[]],[],[[]]]
[4,5,3,8,7,6,1,2]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[[[]],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[[]]]
[4,5,2,8,7,1,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[],[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]],[]]
[3,5,2,8,1,7,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[],[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[],[]]
[3,1,4,2,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[]],[[[],[],[],[]]]]=>[[[[],[],[],[]]],[[]]]
[3,1,2,4,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[[[]],[[[],[],[],[]]]]=>[[[[],[],[],[]]],[[]]]
[3,2,5,8,1,7,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[[],[],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[],[]]
[4,2,5,8,7,1,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[[],[[]],[[[],[],[]]]]=>[[[[],[],[]]],[[]],[]]
[4,3,5,8,7,6,1,2]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[[[]],[],[[[],[],[]]]]=>[[[[],[],[]]],[],[[]]]
[3,4,5,8,7,6,1,2]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[[[]],[[[[],[],[]]]]]=>[[[[[],[],[]]]],[[]]]
[2,4,5,8,7,1,6,3]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[[],[[],[[[],[],[]]]]]=>[[[[[],[],[]]],[]],[]]
[2,3,5,8,1,7,6,4]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[[],[[[],[[],[],[]]]]]=>[[[[[],[],[]],[]]],[]]
[4,1,3,2,6,5,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[[[],[]],[[],[[],[]]]]=>[[[[],[]],[]],[[],[]]]
[5,1,3,2,6,4,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[[[],[[]]],[[[],[]]]]=>[[[[],[]]],[[[]],[]]]
[6,1,3,2,5,4,8,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[[[],[[],[]]],[[],[]]]=>[[[],[]],[[[],[]],[]]]
[7,1,3,2,5,4,8,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[[[],[[],[[]]]],[[]]]=>[[[]],[[[[]],[]],[]]]
[8,1,3,2,5,4,7,6]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[[[],[[],[[],[]]]],[]]=>[[],[[[[],[]],[]],[]]]
[8,1,4,2,5,3,7,6]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>[[[[]],[[[],[]]]],[]]=>[[],[[[[],[]]],[[]]]]
[7,1,4,2,5,3,8,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[[[[]],[[[]]]],[[]]]=>[[[]],[[[[]]],[[]]]]
[6,1,4,2,5,3,8,7]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[[[[]],[[]]],[[],[]]]=>[[[],[]],[[[]],[[]]]]
[5,1,4,2,6,3,8,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>[[[[]],[]],[[[],[]]]]=>[[[[],[]]],[[],[[]]]]
[2,1,6,3,5,4,8,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[[],[[[],[]],[[],[]]]]=>[[[[],[]],[[],[]]],[]]
[3,1,6,2,5,4,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[]],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[[]]]
[4,1,6,2,5,3,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[[]]],[[],[[],[]]]]=>[[[[],[]],[]],[[[]]]]
[6,2,5,1,4,3,8,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[[],[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]],[]]
[5,2,6,1,4,3,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[[],[[],[]],[[[],[]]]]=>[[[[],[]]],[[],[]],[]]
[5,2,7,1,4,3,8,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[],[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]],[]]
[5,2,8,1,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[],[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]],[]]
[6,2,8,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[[],[[],[[]]],[[],[]]]=>[[[],[]],[[[]],[]],[]]
[6,2,7,1,4,3,8,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[[],[[],[[]]],[[[]]]]=>[[[[]]],[[[]],[]],[]]
[7,2,6,1,4,3,8,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>[[],[[],[[]],[]],[[]]]=>[[[]],[[],[[]],[]],[]]
[7,2,5,1,4,3,8,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[[],[[],[],[[]]],[[]]]=>[[[]],[[[]],[],[]],[]]
[4,1,7,2,5,3,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[[[[]]],[[[]],[[]]]]=>[[[[]],[[]]],[[[]]]]
[3,1,7,2,5,4,8,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[[]]]
[2,1,7,3,5,4,8,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[[],[[[],[[]]],[[]]]]=>[[[[]],[[[]],[]]],[]]
[2,1,8,3,5,4,7,6]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[[],[[[],[[],[]]],[]]]=>[[[],[[[],[]],[]]],[]]
[3,1,8,2,5,4,7,6]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[]],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[[]]]
[4,1,8,2,5,3,7,6]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[[[[]]],[[[],[]],[]]]=>[[[],[[],[]]],[[[]]]]
[8,2,5,1,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[[],[[],[],[[],[]]],[]]=>[[],[[[],[]],[],[]],[]]
[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[[],[[],[[]],[[]]],[]]=>[[],[[[]],[[]],[]],[]]
[7,1,4,3,8,2,6,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[[[],[],[[],[]]],[[]]]=>[[[]],[[[],[]],[],[]]]
[8,1,4,3,7,2,6,5]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[[[],[],[[],[],[]]],[]]=>[[],[[[],[],[]],[],[]]]
[8,1,5,3,7,2,6,4]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>[[[],[[]],[[],[]]],[]]=>[[],[[[],[]],[[]],[]]]
[7,1,5,3,8,2,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[]],[[]]],[[]]]=>[[[]],[[[]],[[]],[]]]
[8,2,6,1,5,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>[[],[[[]],[],[[]]],[]]=>[[],[[[]],[],[[]]],[]]
[5,1,8,2,6,3,7,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[[[[[]]]],[[[]],[]]]=>[[[],[[]]],[[[[]]]]]
[4,1,8,2,6,3,7,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[[[[]]],[[],[[]],[]]]=>[[[],[[]],[]],[[[]]]]
[3,1,8,2,6,4,7,5]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[[]]]
[2,1,8,3,6,4,7,5]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[[],[[[[]],[[]]],[]]]=>[[[],[[[]],[[]]]],[]]
[2,1,7,3,6,4,8,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>[[],[[[[]],[]],[[]]]]=>[[[[]],[[],[[]]]],[]]
[4,1,7,2,6,3,8,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[[]]],[[],[],[[]]]]=>[[[[]],[],[]],[[[]]]]
[5,1,7,2,6,3,8,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[[[]]]],[[],[[]]]]=>[[[[]],[]],[[[[]]]]]
[7,2,6,1,5,3,8,4]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>[[],[[[]],[],[]],[[]]]=>[[[]],[[],[],[[]]],[]]
[6,2,7,1,5,3,8,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[[],[[[]],[]],[[[]]]]=>[[[[]]],[[],[[]]],[]]
[6,2,8,1,5,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[[],[[[]],[]],[[],[]]]=>[[[],[]],[[],[[]]],[]]
[8,1,5,2,6,3,7,4]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>[[[[[]]],[[[]]]],[]]=>[[],[[[[]]],[[[]]]]]
[6,1,5,2,7,3,8,4]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[[[[[]]],[]],[[[]]]]=>[[[[]]],[[],[[[]]]]]
[6,1,4,2,7,3,8,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[[[[]],[[]]],[[[]]]]=>[[[[]]],[[[]],[[]]]]
[8,1,4,2,6,3,7,5]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[[[[]],[[],[[]]]],[]]=>[[],[[[[]],[]],[[]]]]
[8,1,3,2,6,4,7,5]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>[[[],[[[]],[[]]]],[]]=>[[],[[[[]],[[]]],[]]]
[7,1,3,2,6,4,8,5]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>[[[],[[[]],[]]],[[]]]=>[[[]],[[[],[[]]],[]]]
[6,1,3,2,7,4,8,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[[[],[[[]]]],[[[]]]]=>[[[[]]],[[[[]]],[]]]
[5,1,3,2,7,4,8,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[],[[]]],[[],[[]]]]=>[[[[]],[]],[[[]],[]]]
[4,1,3,2,7,5,8,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[[[],[]],[[[]],[[]]]]=>[[[[]],[[]]],[[],[]]]
[2,1,4,3,8,5,7,6]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[[],[[],[[[],[]],[]]]]=>[[[[],[[],[]]],[]],[]]
[3,1,4,2,8,5,7,6]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[[[]],[[[[],[]],[]]]]=>[[[[],[[],[]]]],[[]]]
[4,1,3,2,8,5,7,6]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[[[],[]],[[[],[]],[]]]=>[[[],[[],[]]],[[],[]]]
[5,1,3,2,8,4,7,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[[[],[[]]],[[],[],[]]]=>[[[],[],[]],[[[]],[]]]
[6,1,3,2,8,4,7,5]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>[[[],[[[]]]],[[],[]]]=>[[[],[]],[[[[]]],[]]]
[8,4,7,1,3,2,6,5]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[[[],[]],[[],[],[]],[]]=>[[],[[],[],[]],[[],[]]]
[7,4,8,1,3,2,6,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[[[],[]],[[],[]],[[]]]=>[[[]],[[],[]],[[],[]]]
[7,3,8,1,4,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[[[]],[[[],[]]],[[]]]=>[[[]],[[[],[]]],[[]]]
[8,3,7,1,4,2,6,5]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>[[[]],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[[]]]
[6,1,4,2,8,3,7,5]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[[[[]],[[]]],[[],[]]]=>[[[],[]],[[[]],[[]]]]
[5,1,4,2,8,3,7,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[[[[]],[]],[[],[],[]]]=>[[[],[],[]],[[],[[]]]]
[4,1,5,2,8,3,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[[[[]]],[[[],[],[]]]]=>[[[[],[],[]]],[[[]]]]
[3,1,5,2,8,4,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[[[]],[[],[[],[],[]]]]=>[[[[],[],[]],[]],[[]]]
[2,1,5,3,8,4,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[[],[[[]],[[],[],[]]]]=>[[[[],[],[]],[[]]],[]]
[2,1,6,3,8,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[[],[[[[]]],[[],[]]]]=>[[[[],[]],[[[]]]],[]]
[3,1,6,2,8,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[[]]]
[4,1,6,2,8,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[[[[]]],[[],[[],[]]]]=>[[[[],[]],[]],[[[]]]]
[5,1,6,2,8,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[[[[[]]]],[[[],[]]]]=>[[[[],[]]],[[[[]]]]]
[6,1,5,2,8,3,7,4]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[[[[[]]],[]],[[],[]]]=>[[[],[]],[[],[[[]]]]]
[8,3,7,1,5,2,6,4]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>[[[]],[[],[[]],[]],[]]=>[[],[[],[[]],[]],[[]]]
[7,3,8,1,5,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[]],[[],[[]]],[[]]]=>[[[]],[[[]],[]],[[]]]
[6,2,7,3,8,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[[],[[[],[]]],[[[]]]]=>[[[[]]],[[[],[]]],[]]
[6,2,8,3,7,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[[],[[[],[]]],[[],[]]]=>[[[],[]],[[[],[]]],[]]
[8,3,7,2,6,1,5,4]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[[],[],[[],[],[],[]],[]]=>[[],[[],[],[],[]],[],[]]
[5,1,8,3,7,2,6,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[[[],[[]]],[[],[],[]]]=>[[[],[],[]],[[[]],[]]]
[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]=>[[.,[[[[[.,[.,.]],.],.],.],.]],.]=>[[[[]],[],[],[],[]],[]]=>[[],[[],[],[],[],[[]]]]
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[3,1,6,2,4,8,7,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[[[]],[[[]],[[],[]]]]=>[[[[],[]],[[]]],[[]]]
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[5,4,1,2,7,3,6,8]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[[[[]]],[],[[],[[]]]]=>[[[[]],[]],[],[[[]]]]
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[8,4,1,7,2,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>[[[[]]],[[[]],[]],[]]=>[[],[[],[[]]],[[[]]]]
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[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]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[],[[]],[[]]]]=>[[[[]],[[]],[]],[[]]]
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[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]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[[]]]
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[4,8,1,7,2,3,5,6]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[[[[]]],[[[]],[],[]]]=>[[[],[],[[]]],[[[]]]]
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[5,1,8,2,7,4,6,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[[[[],[]]],[[],[],[]]]=>[[[],[],[]],[[[],[]]]]
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[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]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[[[[[]]]],[[],[[]]]]=>[[[[]],[]],[[[[]]]]]
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[7,1,8,6,2,4,5,3]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>[[[[],[[]]],[]],[[]]]=>[[[]],[[],[[[]],[]]]]
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[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]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[[],[],[[],[[],[[]]]]]=>[[[[[]],[]],[]],[],[]]
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[4,3,6,1,7,5,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[]],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[[]]]
[4,3,6,5,7,1,8,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[[[]],[],[[],[[[]]]]]=>[[[[[]]],[]],[],[[]]]
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[3,1,6,4,7,5,8,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[[[]],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[[]]]
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[2,1,6,4,7,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[[],[[],[[]],[[[]]]]]=>[[[[[]]],[[]],[]],[]]
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[2,1,6,5,7,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[[],[[[]],[],[[[]]]]]=>[[[[[]]],[],[[]]],[]]
[3,1,6,5,7,4,8,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[[[]],[[],[],[[[]]]]]=>[[[[[]]],[],[]],[[]]]
[4,1,6,5,7,3,8,2]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[[[],[]],[[],[[[]]]]]=>[[[[[]]],[]],[[],[]]]
[5,1,6,4,7,3,8,2]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[[[],[],[]],[[[[]]]]]=>[[[[[]]]],[[],[],[]]]
[5,4,6,1,7,3,8,2]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[[[],[]],[],[[[[]]]]]=>[[[[[]]]],[],[[],[]]]
[5,4,6,3,7,1,8,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[[[]],[],[],[[[[]]]]]=>[[[[[]]]],[],[],[[]]]
[8,3,5,2,1,6,4,7]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[[],[],[[],[[[]]]],[]]=>[[],[[[[]]],[]],[],[]]
[8,6,3,5,2,4,1,7]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[[],[],[[],[]],[[]],[]]=>[[],[[]],[[],[]],[],[]]
[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]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[[[]],[],[],[[],[[]]]]=>[[[[]],[]],[],[],[[]]]
[1,7,4,5,3,2,8,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>[[[],[],[[[]]],[[]]]]=>[[[[]],[[[]]],[],[]]]
[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]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[[],[[[]]],[[[],[]]]]=>[[[[],[]]],[[[]]],[]]
[5,2,7,6,3,1,8,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[],[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]],[]]
[6,5,2,1,7,3,8,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[[],[[[]]],[],[[[]]]]=>[[[[]]],[],[[[]]],[]]
[5,2,7,4,1,8,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[],[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]],[]]
[4,7,2,6,3,1,8,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[],[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]],[]]
[2,4,8,6,3,7,5,1]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[[],[[],[[],[[]],[]]]]=>[[[[],[[]],[]],[]],[]]
[3,8,6,2,4,7,5,1]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[[],[],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[],[]]
[7,3,6,2,4,1,8,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[[],[],[[[]],[]],[[]]]=>[[[]],[[],[[]]],[],[]]
[3,6,7,2,1,4,8,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[[],[],[[[]],[[[]]]]]=>[[[[[]]],[[]]],[],[]]
[4,3,7,8,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[[],[],[],[[[]],[[]]]]=>[[[[]],[[]]],[],[],[]]
[8,3,7,1,4,6,2,5]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>[[[]],[[[],[]],[]],[]]=>[[],[[],[[],[]]],[[]]]
[3,8,2,5,7,1,6,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[[],[],[[],[[],[]],[]]]=>[[[],[[],[]],[]],[],[]]
[8,3,6,2,7,1,5,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[[],[],[[],[],[[]]],[]]=>[[],[[[]],[],[]],[],[]]
[7,8,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[[],[],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[],[]]
[8,7,3,6,2,5,4,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[[],[],[[],[],[]],[],[]]=>[[],[],[[],[],[]],[],[]]
[4,7,8,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[],[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]],[]]
[4,2,6,8,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[[],[[]],[[],[[],[]]]]=>[[[[],[]],[]],[[]],[]]
[5,4,8,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[[],[[]],[],[[],[],[]]]=>[[[],[],[]],[],[[]],[]]
[4,8,1,5,7,2,6,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[[[[]]],[[[],[]],[]]]=>[[[],[[],[]]],[[[]]]]
[5,8,3,7,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[[[]],[[]],[[],[],[]]]=>[[[],[],[]],[[]],[[]]]
[5,8,7,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[[],[[[]]],[[],[],[]]]=>[[[],[],[]],[[[]]],[]]
[8,6,2,7,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>[[],[[[]],[]],[[]],[]]=>[[],[[]],[[],[[]]],[]]
[3,6,8,1,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[[[]],[[],[],[[],[]]]]=>[[[[],[]],[],[]],[[]]]
[5,1,6,8,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[[[[],[]]],[[[],[]]]]=>[[[[],[]]],[[[],[]]]]
[6,5,2,8,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[[],[[],[]],[],[[],[]]]=>[[[],[]],[],[[],[]],[]]
[5,2,7,1,8,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[[],[[],[]],[[],[[]]]]=>[[[[]],[]],[[],[]],[]]
[5,8,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[[],[[],[]],[[],[],[]]]=>[[[],[],[]],[[],[]],[]]
[6,2,8,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[[],[[],[],[]],[[],[]]]=>[[[],[]],[[],[],[]],[]]
[7,6,2,1,8,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>[[],[[],[],[]],[],[[]]]=>[[[]],[],[[],[],[]],[]]
[6,1,7,2,8,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[[[[],[],[]]],[[[]]]]=>[[[[]]],[[[],[],[]]]]
[7,5,1,8,2,6,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[[[[],[]]],[[]],[[]]]=>[[[]],[[]],[[[],[]]]]
[4,7,1,8,6,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[[[[]]],[[],[],[[]]]]=>[[[[]],[],[]],[[[]]]]
[7,8,3,1,6,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[[[]],[[],[],[]],[[]]]=>[[[]],[[],[],[]],[[]]]
[8,7,4,6,1,5,3,2]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>[[[],[]],[[],[]],[],[]]=>[[],[],[[],[]],[[],[]]]
[8,5,7,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[[[],[],[]],[[],[]],[]]=>[[],[[],[]],[[],[],[]]]
[6,8,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[[[],[],[],[]],[[],[]]]=>[[[],[]],[[],[],[],[]]]
[7,1,8,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[[[],[],[],[],[]],[[]]]=>[[[]],[[],[],[],[],[]]]
[5,4,2,3,7,6,1,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[[],[[]],[],[[],[[]]]]=>[[[[]],[]],[],[[]],[]]
[6,4,2,7,3,5,1,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[[],[[]],[[]],[[[]]]]=>[[[[]]],[[]],[[]],[]]
[7,4,2,6,3,5,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[[],[[]],[[],[]],[[]]]=>[[[]],[[],[]],[[]],[]]
[8,4,2,6,3,1,5,7]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[[],[[]],[[],[[]]],[]]=>[[],[[[]],[]],[[]],[]]
[3,2,7,6,4,5,1,8]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[[],[],[[[]],[],[[]]]]=>[[[[]],[],[[]]],[],[]]
[4,7,2,6,3,5,1,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[[],[[]],[[],[],[[]]]]=>[[[[]],[],[]],[[]],[]]
[5,7,6,2,3,4,1,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[[],[[[]]],[[],[[]]]]=>[[[[]],[]],[[[]]],[]]
[1,6,5,2,3,8,4,7]=>[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[[[[[]]],[],[[],[]]]]=>[[[[],[]],[],[[[]]]]]
[1,7,5,2,8,3,4,6]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[[[[[]]],[[]],[[]]]]=>[[[[]],[[]],[[[]]]]]
[6,8,5,2,3,1,4,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[[],[[[]]],[],[[],[]]]=>[[[],[]],[],[[[]]],[]]
[5,8,6,2,3,1,4,7]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[[],[[[]]],[[[]],[]]]=>[[[],[[]]],[[[]]],[]]
[4,8,2,6,3,1,5,7]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[[],[[]],[[],[[]],[]]]=>[[[],[[]],[]],[[]],[]]
[3,2,8,6,4,1,5,7]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[[],[],[[[]],[[]],[]]]=>[[[],[[]],[[]]],[],[]]
[3,2,1,6,4,8,5,7]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[[],[],[[[]],[[],[]]]]=>