Identifier
Mp00072:
Permutations
—binary search tree: left to right⟶
Binary trees
Mp00008: Binary trees —to complete tree⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Mp00008: Binary trees —to complete tree⟶ 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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[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]=>[[],[[[],[[],[[],[]]]],[[],[]]]]=>[[[[],[]],[[[[],[]],[]],[]]],[]]
[1,5,2,3,6,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>[[],[[[],[[],[[],[]]]],[[],[]]]]=>[[[[],[]],[[[[],[]],[]],[]]],[]]
[1,5,2,4,3,6]=>[.,[[.,[[.,.],.]],[.,.]]]=>[[],[[[],[[[],[]],[]]],[[],[]]]]=>[[[[],[]],[[[],[[],[]]],[]]],[]]
[1,5,2,4,6,3]=>[.,[[.,[[.,.],.]],[.,.]]]=>[[],[[[],[[[],[]],[]]],[[],[]]]]=>[[[[],[]],[[[],[[],[]]],[]]],[]]
[1,5,2,6,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>[[],[[[],[[],[[],[]]]],[[],[]]]]=>[[[[],[]],[[[[],[]],[]],[]]],[]]
[1,5,2,6,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]=>[[],[[[],[[[],[]],[]]],[[],[]]]]=>[[[[],[]],[[[],[[],[]]],[]]],[]]
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[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[],[]],[[],[[[],[]],[[],[]]]]]=>[[[[[],[]],[[],[]]],[]],[[],[]]]
[2,1,3,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[],[]],[[],[[[],[]],[[],[]]]]]=>[[[[[],[]],[[],[]]],[]],[[],[]]]
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[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[],[]],[[],[[[[],[]],[]],[]]]]=>[[[[],[[],[[],[]]]],[]],[[],[]]]
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[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[],[]],[[[],[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[],[]]],[[],[]]]
[2,1,4,5,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[],[]],[[[],[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[],[]]],[[],[]]]
[2,1,4,5,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[],[]],[[[],[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[],[]]],[[],[]]]
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[2,1,4,6,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[],[]],[[[],[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[],[]]],[[],[]]]
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[2,1,5,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[],[]],[[[],[[],[]]],[[],[]]]]=>[[[[],[]],[[[],[]],[]]],[[],[]]]
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[2,1,5,4,6,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[],[]],[[[[],[]],[]],[[],[]]]]=>[[[[],[]],[[],[[],[]]]],[[],[]]]
[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[],[]],[[[],[[],[]]],[[],[]]]]=>[[[[],[]],[[[],[]],[]]],[[],[]]]
[2,1,5,6,4,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[],[]],[[[[],[]],[]],[[],[]]]]=>[[[[],[]],[[],[[],[]]]],[[],[]]]
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[2,1,6,3,5,4]=>[[.,.],[[.,[[.,.],.]],.]]=>[[[],[]],[[[],[[[],[]],[]]],[]]]=>[[[],[[[],[[],[]]],[]]],[[],[]]]
[2,1,6,4,3,5]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[],[]],[[[[],[]],[[],[]]],[]]]=>[[[],[[[],[]],[[],[]]]],[[],[]]]
[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]=>[[[],[]],[[[[],[]],[[],[]]],[]]]=>[[[],[[[],[]],[[],[]]]],[[],[]]]
[2,1,6,5,3,4]=>[[.,.],[[[.,[.,.]],.],.]]=>[[[],[]],[[[[],[[],[]]],[]],[]]]=>[[[],[[],[[[],[]],[]]]],[[],[]]]
[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]=>[[[],[]],[[[[[],[]],[]],[]],[]]]=>[[[],[[],[[],[[],[]]]]],[[],[]]]
[2,3,1,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[],[]],[[],[[],[[],[[],[]]]]]]=>[[[[[[],[]],[]],[]],[]],[[],[]]]
[2,3,1,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[],[]],[[],[[],[[[],[]],[]]]]]=>[[[[[],[[],[]]],[]],[]],[[],[]]]
[2,3,1,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[],[]],[[],[[[],[]],[[],[]]]]]=>[[[[[],[]],[[],[]]],[]],[[],[]]]
[2,3,1,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[],[]],[[],[[[],[]],[[],[]]]]]=>[[[[[],[]],[[],[]]],[]],[[],[]]]
[2,3,1,6,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[],[]],[[],[[[],[[],[]]],[]]]]=>[[[[],[[[],[]],[]]],[]],[[],[]]]
[2,3,1,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[],[]],[[],[[[[],[]],[]],[]]]]=>[[[[],[[],[[],[]]]],[]],[[],[]]]
[2,3,4,1,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[],[]],[[],[[],[[],[[],[]]]]]]=>[[[[[[],[]],[]],[]],[]],[[],[]]]
[2,3,4,1,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[],[]],[[],[[],[[[],[]],[]]]]]=>[[[[[],[[],[]]],[]],[]],[[],[]]]
[2,3,4,5,1,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[],[]],[[],[[],[[],[[],[]]]]]]=>[[[[[[],[]],[]],[]],[]],[[],[]]]
[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[],[]],[[],[[],[[],[[],[]]]]]]=>[[[[[[],[]],[]],[]],[]],[[],[]]]
[2,3,4,6,1,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[],[]],[[],[[],[[[],[]],[]]]]]=>[[[[[],[[],[]]],[]],[]],[[],[]]]
[2,3,4,6,5,1]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[],[]],[[],[[],[[[],[]],[]]]]]=>[[[[[],[[],[]]],[]],[]],[[],[]]]
[2,3,5,1,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[],[]],[[],[[[],[]],[[],[]]]]]=>[[[[[],[]],[[],[]]],[]],[[],[]]]
[2,3,5,1,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[],[]],[[],[[[],[]],[[],[]]]]]=>[[[[[],[]],[[],[]]],[]],[[],[]]]
[2,3,5,4,1,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[],[]],[[],[[[],[]],[[],[]]]]]=>[[[[[],[]],[[],[]]],[]],[[],[]]]
[2,3,5,4,6,1]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[],[]],[[],[[[],[]],[[],[]]]]]=>[[[[[],[]],[[],[]]],[]],[[],[]]]
[2,3,5,6,1,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[],[]],[[],[[[],[]],[[],[]]]]]=>[[[[[],[]],[[],[]]],[]],[[],[]]]
[2,3,5,6,4,1]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[],[]],[[],[[[],[]],[[],[]]]]]=>[[[[[],[]],[[],[]]],[]],[[],[]]]
[2,3,6,1,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[],[]],[[],[[[],[[],[]]],[]]]]=>[[[[],[[[],[]],[]]],[]],[[],[]]]
[2,3,6,1,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[],[]],[[],[[[[],[]],[]],[]]]]=>[[[[],[[],[[],[]]]],[]],[[],[]]]
[2,3,6,4,1,5]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[],[]],[[],[[[],[[],[]]],[]]]]=>[[[[],[[[],[]],[]]],[]],[[],[]]]
[2,3,6,4,5,1]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[],[]],[[],[[[],[[],[]]],[]]]]=>[[[[],[[[],[]],[]]],[]],[[],[]]]
[2,3,6,5,1,4]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[],[]],[[],[[[[],[]],[]],[]]]]=>[[[[],[[],[[],[]]]],[]],[[],[]]]
[2,3,6,5,4,1]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[],[]],[[],[[[[],[]],[]],[]]]]=>[[[[],[[],[[],[]]]],[]],[[],[]]]
[2,4,1,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[],[]],[[[],[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[],[]]],[[],[]]]
[2,4,1,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[],[]],[[[],[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[],[]]],[[],[]]]
[2,4,1,5,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[],[]],[[[],[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[],[]]],[[],[]]]
[2,4,1,5,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[],[]],[[[],[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[],[]]],[[],[]]]
[2,4,1,6,3,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[],[]],[[[],[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[],[]]],[[],[]]]
[2,4,1,6,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[],[]],[[[],[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[],[]]],[[],[]]]
[2,4,3,1,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[],[]],[[[],[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[],[]]],[[],[]]]
[2,4,3,1,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[],[]],[[[],[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[],[]]],[[],[]]]
[2,4,3,5,1,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[],[]],[[[],[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[],[]]],[[],[]]]
[2,4,3,5,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[],[]],[[[],[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[],[]]],[[],[]]]
[2,4,3,6,1,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[],[]],[[[],[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[],[]]],[[],[]]]
[2,4,3,6,5,1]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[],[]],[[[],[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[],[]]],[[],[]]]
[2,4,5,1,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[],[]],[[[],[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[],[]]],[[],[]]]
[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[],[]],[[[],[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[],[]]],[[],[]]]
[2,4,5,3,1,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[],[]],[[[],[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[],[]]],[[],[]]]
[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[],[]],[[[],[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[],[]]],[[],[]]]
[2,4,5,6,1,3]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[],[]],[[[],[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[],[]]],[[],[]]]
[2,4,5,6,3,1]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[],[]],[[[],[]],[[],[[],[]]]]]=>[[[[[],[]],[]],[[],[]]],[[],[]]]
[2,4,6,1,3,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[],[]],[[[],[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,1,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[],[]],[[[],[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,3,1,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[],[]],[[[],[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,3,5,1]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[],[]],[[[],[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,5,1,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[],[]],[[[],[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[],[]]],[[],[]]]
[2,4,6,5,3,1]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[],[]],[[[],[]],[[[],[]],[]]]]=>[[[[],[[],[]]],[[],[]]],[[],[]]]
[2,5,1,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[],[]],[[[],[[],[]]],[[],[]]]]=>[[[[],[]],[[[],[]],[]]],[[],[]]]
[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[],[]],[[[],[[],[]]],[[],[]]]]=>[[[[],[]],[[[],[]],[]]],[[],[]]]
[2,5,1,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[],[]],[[[[],[]],[]],[[],[]]]]=>[[[[],[]],[[],[[],[]]]],[[],[]]]
[2,5,1,4,6,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[],[]],[[[[],[]],[]],[[],[]]]]=>[[[[],[]],[[],[[],[]]]],[[],[]]]
[2,5,1,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[],[]],[[[],[[],[]]],[[],[]]]]=>[[[[],[]],[[[],[]],[]]],[[],[]]]
[2,5,1,6,4,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[],[]],[[[[],[]],[]],[[],[]]]]=>[[[[],[]],[[],[[],[]]]],[[],[]]]
[2,5,3,1,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[],[]],[[[],[[],[]]],[[],[]]]]=>[[[[],[]],[[[],[]],[]]],[[],[]]]
[2,5,3,1,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[],[]],[[[],[[],[]]],[[],[]]]]=>[[[[],[]],[[[],[]],[]]],[[],[]]]
[2,5,3,4,1,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[],[]],[[[],[[],[]]],[[],[]]]]=>[[[[],[]],[[[],[]],[]]],[[],[]]]
[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]=>[[[.,[[.,[.,.]],.]],.],.]=>[[[[],[[[],[[],[]]],[]]],[]],[]]=>[[],[[],[[[],[[[],[]],[]]],[]]]]
[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]=>[[[[],[[[[],[]],[]],[]]],[]],[]]=>[[],[[],[[[],[[],[[],[]]]],[]]]]
[6,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],.]=>[[[[[],[]],[[],[[],[]]]],[]],[]]=>[[],[[],[[[[],[]],[]],[[],[]]]]]
[6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]=>[[[[[],[]],[[[],[]],[]]],[]],[]]=>[[],[[],[[[],[[],[]]],[[],[]]]]]
[6,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],.]=>[[[[[],[]],[[],[[],[]]]],[]],[]]=>[[],[[],[[[[],[]],[]],[[],[]]]]]
[6,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],.]=>[[[[[],[]],[[],[[],[]]]],[]],[]]=>[[],[[],[[[[],[]],[]],[[],[]]]]]
[6,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],.]=>[[[[[],[]],[[[],[]],[]]],[]],[]]=>[[],[[],[[[],[[],[]]],[[],[]]]]]
[6,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],.]=>[[[[[],[]],[[[],[]],[]]],[]],[]]=>[[],[[],[[[],[[],[]]],[[],[]]]]]
[6,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],.]=>[[[[[],[[],[]]],[[],[]]],[]],[]]=>[[],[[],[[[],[]],[[[],[]],[]]]]]
[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]=>[[[[[],[[],[]]],[[],[]]],[]],[]]=>[[],[[],[[[],[]],[[[],[]],[]]]]]
[6,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],.]=>[[[[[[],[]],[]],[[],[]]],[]],[]]=>[[],[[],[[[],[]],[[],[[],[]]]]]]
[6,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],.]=>[[[[[[],[]],[]],[[],[]]],[]],[]]=>[[],[[],[[[],[]],[[],[[],[]]]]]]
[6,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],.]=>[[[[[],[[],[]]],[[],[]]],[]],[]]=>[[],[[],[[[],[]],[[[],[]],[]]]]]
[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>[[[[[[],[]],[]],[[],[]]],[]],[]]=>[[],[[],[[[],[]],[[],[[],[]]]]]]
[6,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],.]=>[[[[[],[[],[[],[]]]],[]],[]],[]]=>[[],[[],[[],[[[[],[]],[]],[]]]]]
[6,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],.]=>[[[[[],[[[],[]],[]]],[]],[]],[]]=>[[],[[],[[],[[[],[[],[]]],[]]]]]
[6,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],.]=>[[[[[[],[]],[[],[]]],[]],[]],[]]=>[[],[[],[[],[[[],[]],[[],[]]]]]]
[6,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],.]=>[[[[[[],[]],[[],[]]],[]],[]],[]]=>[[],[[],[[],[[[],[]],[[],[]]]]]]
[6,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],.]=>[[[[[[],[[],[]]],[]],[]],[]],[]]=>[[],[[],[[],[[],[[[],[]],[]]]]]]
[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]=>[[[[[[[],[]],[]],[]],[]],[]],[]]=>[[],[[],[[],[[],[[],[[],[]]]]]]]
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
Map
to complete tree
Description
Return the same tree seen as an ordered tree. By default, leaves are transformed into actual nodes.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.
searching the database
Sorry, this map was not found in the database.