Identifier
Mp00066:
Permutations
—inverse⟶
Permutations
Mp00068: Permutations —Simion-Schmidt map⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00068: Permutations —Simion-Schmidt map⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[1]=>[1]=>[1]=>[.,.]
[1,2]=>[1,2]=>[1,2]=>[.,[.,.]]
[2,1]=>[2,1]=>[2,1]=>[[.,.],.]
[1,2,3]=>[1,2,3]=>[1,3,2]=>[.,[[.,.],.]]
[1,3,2]=>[1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[2,1,3]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[2,3,1]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[3,1,2]=>[2,3,1]=>[2,3,1]=>[[.,.],[.,.]]
[3,2,1]=>[3,2,1]=>[3,2,1]=>[[[.,.],.],.]
[1,2,3,4]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,4,3]=>[1,2,4,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,2,4]=>[1,3,2,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,4,2]=>[1,4,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,2,3]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,3,2]=>[1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,3,4]=>[2,1,3,4]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,3,1,4]=>[3,1,2,4]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[2,3,4,1]=>[4,1,2,3]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[2,4,1,3]=>[3,1,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[2,4,3,1]=>[4,1,3,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[3,1,2,4]=>[2,3,1,4]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[3,1,4,2]=>[2,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[3,2,4,1]=>[4,2,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[3,4,1,2]=>[3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[3,4,2,1]=>[4,3,1,2]=>[4,3,1,2]=>[[[.,[.,.]],.],.]
[4,1,2,3]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[4,1,3,2]=>[2,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[4,2,1,3]=>[3,2,4,1]=>[3,2,4,1]=>[[[.,.],.],[.,.]]
[4,2,3,1]=>[4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[4,3,1,2]=>[3,4,2,1]=>[3,4,2,1]=>[[[.,.],.],[.,.]]
[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,3,4,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,5,4]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,3,5]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,5,3]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,3,4]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,4,3]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,4,5]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,5,4]=>[1,3,2,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,2,5]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,5,2]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,2,4]=>[1,4,2,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,4,2]=>[1,5,2,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,3,5]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,5,3]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,2,5]=>[1,4,3,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,5,2]=>[1,5,3,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,5,2,3]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,5,3,2]=>[1,5,4,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,3,4]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,4,3]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,2,4]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,4,2]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,4,2,3]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,5,3]=>[2,1,5,3,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,3,4]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,3,1,4,5]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,1,5,4]=>[3,1,2,5,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,4,1,5]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,4,5,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,3,5,1,4]=>[4,1,2,5,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,5,4,1]=>[5,1,2,4,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,4,1,3,5]=>[3,1,4,2,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,5,3]=>[3,1,5,2,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,3,1,5]=>[4,1,3,2,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,3,5,1]=>[5,1,3,2,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,4,5,1,3]=>[4,1,5,2,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,5,3,1]=>[5,1,4,2,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,5,1,3,4]=>[3,1,4,5,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,1,4,3]=>[3,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,3,1,4]=>[4,1,3,5,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,5,3,4,1]=>[5,1,3,4,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,5,4,1,3]=>[4,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,5,4,3,1]=>[5,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[3,1,2,4,5]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,2,5,4]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,2,5]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,5,2]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,2,4]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,4,2]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,5,4]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,4,1,5]=>[4,2,1,3,5]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,4,5,1]=>[5,2,1,3,4]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[3,2,5,1,4]=>[4,2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,5,4,1]=>[5,2,1,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[3,4,1,2,5]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,5,2]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,2,1,5]=>[4,3,1,2,5]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[3,4,2,5,1]=>[5,3,1,2,4]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[3,4,5,1,2]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,4,5,2,1]=>[5,4,1,2,3]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[3,5,1,2,4]=>[3,4,1,5,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,4,2]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,2,1,4]=>[4,3,1,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[3,5,2,4,1]=>[5,3,1,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[3,5,4,1,2]=>[4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,5,4,2,1]=>[5,4,1,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[4,1,2,3,5]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,2,5,3]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,3,2,5]=>[2,4,3,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,3,5,2]=>[2,5,3,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,5,2,3]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,5,3,2]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,2,1,3,5]=>[3,2,4,1,5]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[4,2,1,5,3]=>[3,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[4,2,3,1,5]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,3,5,1]=>[5,2,3,1,4]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[4,2,5,1,3]=>[4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,5,3,1]=>[5,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[4,3,1,2,5]=>[3,4,2,1,5]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[4,3,1,5,2]=>[3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,3,2,5,1]=>[5,3,2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]
[4,3,5,1,2]=>[4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,3,5,2,1]=>[5,4,2,1,3]=>[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]
[4,5,1,2,3]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,1,3,2]=>[3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,2,1,3]=>[4,3,5,1,2]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,2,3,1]=>[5,3,4,1,2]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]
[4,5,3,1,2]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,3,2,1]=>[5,4,3,1,2]=>[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]
[5,1,2,3,4]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,2,4,3]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,3,2,4]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,3,4,2]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,4,2,3]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,4,3,2]=>[2,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,2,1,3,4]=>[3,2,4,5,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,1,4,3]=>[3,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,3,1,4]=>[4,2,3,5,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,2,3,4,1]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,2,4,1,3]=>[4,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,2,4,3,1]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,3,1,2,4]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,3,1,4,2]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,3,2,1,4]=>[4,3,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]
[5,3,2,4,1]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[5,3,4,1,2]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,3,4,2,1]=>[5,4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]
[5,4,1,2,3]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[5,4,1,3,2]=>[3,5,4,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[5,4,2,1,3]=>[4,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]
[5,4,2,3,1]=>[5,3,4,2,1]=>[5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]
[5,4,3,1,2]=>[4,5,3,2,1]=>[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]
[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,6,4]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,3,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,6,3]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,3,5]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,5,3]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,3,5,2,6,4]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,4,2,6]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,3,6,5,2,4]=>[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,3,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,6,3]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,3,5]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,5,3]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,5,2,6]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,5,6,2]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,6,2,5]=>[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,6,5,2]=>[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,6,3]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,3,2,6]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,3,6,2]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,6,2,3]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,4,6,5,2,3]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,5,3,2]=>[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,6,4]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,3,6]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,6,3]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,6,3,4]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,5,3,2,4,6]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,5,3,6,4,2]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,3,6]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,6,3]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,6,4,5,2,3]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,5,3,2]=>[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,6,5,4,2,3]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,6,4]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,4,5]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,3,6]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,6,3]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,3,5]=>[2,1,5,3,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,5,3]=>[2,1,6,3,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,4,6]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
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[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,6,3]=>[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,3,4]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,4,3]=>[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,4,5]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,5,4]=>[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,3,5]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,5,3]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,3,4]=>[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,6,5]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,4,6]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,6,4]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,4,5]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,5,4]=>[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,1,6,5]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,4,6,1,5]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,6,5,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,5,1,4,6]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,1,6,4]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,4,1,6]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,5,4,6,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,5,6,1,4]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,5,6,4,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,6,1,4,5]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,1,5,4]=>[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,4,1,5]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,6,4,5,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,6,5,1,4]=>[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,6,5,4,1]=>[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,3,5,6]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,6,5]=>[3,1,4,2,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,3,6]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,6,3]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,3,5]=>[3,1,5,2,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,5,3]=>[3,1,6,2,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,3,1,5,6]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,1,6,5]=>[4,1,3,2,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,5,1,6]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,3,5,6,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,3,6,1,5]=>[5,1,3,2,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,3,6,5,1]=>[6,1,3,2,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,5,1,3,6]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,1,6,3]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,3,1,6]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,5,3,6,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,5,6,1,3]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,5,6,3,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,6,1,3,5]=>[4,1,5,2,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,1,5,3]=>[4,1,6,2,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,3,1,5]=>[5,1,4,2,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,6,3,5,1]=>[6,1,4,2,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,6,5,1,3]=>[5,1,6,2,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,6,5,3,1]=>[6,1,5,2,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,1,3,4,6]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,6,4]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,3,6]=>[3,1,5,4,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,6,3]=>[3,1,6,4,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,3,4]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,4,3]=>[3,1,6,5,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,3,1,4,6]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,1,6,4]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,4,1,6]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,3,4,6,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,3,6,1,4]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,3,6,4,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,4,1,3,6]=>[4,1,5,3,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,1,6,3]=>[4,1,6,3,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,3,1,6]=>[5,1,4,3,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,4,3,6,1]=>[6,1,4,3,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,4,6,1,3]=>[5,1,6,3,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,4,6,3,1]=>[6,1,5,3,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,6,1,3,4]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,1,4,3]=>[4,1,6,5,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,3,1,4]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,6,3,4,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,6,4,1,3]=>[5,1,6,4,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,6,4,3,1]=>[6,1,5,4,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,1,3,4,5]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,5,4]=>[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,3,5]=>[3,1,5,4,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,5,3]=>[3,1,6,4,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,3,4]=>[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,4,3]=>[3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,3,1,4,5]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,1,5,4]=>[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,4,1,5]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,3,4,5,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,3,5,1,4]=>[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,3,5,4,1]=>[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,4,1,3,5]=>[4,1,5,3,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,1,5,3]=>[4,1,6,3,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,3,1,5]=>[5,1,4,3,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,4,3,5,1]=>[6,1,4,3,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,4,5,1,3]=>[5,1,6,3,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,4,5,3,1]=>[6,1,5,3,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,5,1,3,4]=>[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,5,1,4,3]=>[4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,5,3,1,4]=>[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,5,3,4,1]=>[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,5,4,1,3]=>[5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,5,4,3,1]=>[6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,6,5]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,4,6]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,6,4]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,4,5]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,5,4]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,6,5]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,2,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,6,2]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,6,2,5]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,6,5,2]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,4,6]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,6,4]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,2,6]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,6,2]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,6,2,4]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,6,4,2]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,4,5]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,5,4]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,4,2,5]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,4,5,2]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,5,2,4]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,5,4,2]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,6,4]=>[3,2,1,6,4,5]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,4,5]=>[3,2,1,5,6,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,1,6,5]=>[4,2,1,3,6,5]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,4,6,1,5]=>[5,2,1,3,6,4]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,6,5,1]=>[6,2,1,3,5,4]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,5,1,4,6]=>[4,2,1,5,3,6]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,1,6,4]=>[4,2,1,6,3,5]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,4,1,6]=>[5,2,1,4,3,6]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,4,6,1]=>[6,2,1,4,3,5]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,5,6,1,4]=>[5,2,1,6,3,4]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,6,4,1]=>[6,2,1,5,3,4]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,6,1,4,5]=>[4,2,1,5,6,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,1,5,4]=>[4,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,4,1,5]=>[5,2,1,4,6,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,6,4,5,1]=>[6,2,1,4,5,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,6,5,1,4]=>[5,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,6,5,4,1]=>[6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,4,1,2,5,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,6,5]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,6,2]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,2,5]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,5,2]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,1,6,5]=>[4,3,1,2,6,5]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,4,2,6,1,5]=>[5,3,1,2,6,4]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,2,6,5,1]=>[6,3,1,2,5,4]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,4,5,1,2,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,4,5,6,1,2]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[3,4,6,1,2,5]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,6,1,5,2]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,6,2,1,5]=>[5,4,1,2,6,3]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,4,6,2,5,1]=>[6,4,1,2,5,3]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,4,6,5,1,2]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,4,6,5,2,1]=>[6,5,1,2,4,3]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[3,5,1,2,4,6]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,6,4]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,2,6]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,6,2]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,2,4]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,4,2]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,4,6]=>[4,3,1,5,2,6]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,1,6,4]=>[4,3,1,6,2,5]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,4,1,6]=>[5,3,1,4,2,6]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,2,4,6,1]=>[6,3,1,4,2,5]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,5,2,6,1,4]=>[5,3,1,6,2,4]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,2,6,4,1]=>[6,3,1,5,2,4]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,5,4,1,2,6]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,4,1,6,2]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,4,2,1,6]=>[5,4,1,3,2,6]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,5,4,2,6,1]=>[6,4,1,3,2,5]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,5,4,6,1,2]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,5,4,6,2,1]=>[6,5,1,3,2,4]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[3,5,6,1,2,4]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,6,1,4,2]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,6,2,1,4]=>[5,4,1,6,2,3]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,5,6,2,4,1]=>[6,4,1,5,2,3]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,5,6,4,1,2]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,5,6,4,2,1]=>[6,5,1,4,2,3]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[3,6,1,2,4,5]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,5,4]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,2,5]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,5,2]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,2,4]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,2,1,4,5]=>[4,3,1,5,6,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,1,5,4]=>[4,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,4,1,5]=>[5,3,1,4,6,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,2,4,5,1]=>[6,3,1,4,5,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,6,2,5,1,4]=>[5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,2,5,4,1]=>[6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,6,4,1,2,5]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,4,1,5,2]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,4,2,1,5]=>[5,4,1,3,6,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,6,4,2,5,1]=>[6,4,1,3,5,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,6,4,5,1,2]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,6,4,5,2,1]=>[6,5,1,3,4,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[3,6,5,1,2,4]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,5,1,4,2]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,5,2,1,4]=>[5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,6,5,2,4,1]=>[6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,6,5,4,1,2]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,6,5,4,2,1]=>[6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,6,5]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,3,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,6,3]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,3,5]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,5,3]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,5,6]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,6,5]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,2,6]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,6,2]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,6,2,5]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,6,5,2]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,3,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,2,6]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,6,2]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,6,2,3]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,6,3,2]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,3,5]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,5,3]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,3,2,5]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,3,5,2]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,5,2,3]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,5,3,2]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,3,5,6]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,6,5]=>[3,2,4,1,6,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,3,6]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,6,3]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,3,5]=>[3,2,5,1,6,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,5,3]=>[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,3,1,5,6]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,6,5]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,5,1,6]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,3,5,6,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,3,6,1,5]=>[5,2,3,1,6,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,3,6,5,1]=>[6,2,3,1,5,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,5,1,3,6]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,6,3]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,3,1,6]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,5,3,6,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,5,6,1,3]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,5,6,3,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,6,1,3,5]=>[4,2,5,1,6,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,3,1,5]=>[5,2,4,1,6,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,6,3,5,1]=>[6,2,4,1,5,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,6,5,1,3]=>[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,6,5,3,1]=>[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,3,1,2,5,6]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,6,5]=>[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,5,2,6]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,5,6,2]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,6,2,5]=>[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,6,5,2]=>[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,5,1,6]=>[5,3,2,1,4,6]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,2,5,6,1]=>[6,3,2,1,4,5]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[4,3,2,6,1,5]=>[5,3,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,2,6,5,1]=>[6,3,2,1,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[4,3,5,1,2,6]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,5,1,6,2]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,5,2,1,6]=>[5,4,2,1,3,6]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[4,3,5,2,6,1]=>[6,4,2,1,3,5]=>[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]
[4,3,5,6,1,2]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,3,5,6,2,1]=>[6,5,2,1,3,4]=>[6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]
[4,3,6,1,2,5]=>[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,6,1,5,2]=>[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,6,2,1,5]=>[5,4,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[4,3,6,2,5,1]=>[6,4,2,1,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]
[4,3,6,5,1,2]=>[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,3,6,5,2,1]=>[6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]
[4,5,1,2,3,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,6,3]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,3,2,6]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,3,6,2]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,6,2,3]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,6,3,2]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,2,1,3,6]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,1,6,3]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,3,1,6]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,2,3,6,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,5,2,6,1,3]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,2,6,3,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,5,3,1,2,6]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,1,6,2]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,2,1,6]=>[5,4,3,1,2,6]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[4,5,3,2,6,1]=>[6,4,3,1,2,5]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[4,5,3,6,1,2]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,3,6,2,1]=>[6,5,3,1,2,4]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,1,3,2]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,2,1,3]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,5,6,2,3,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[4,5,6,3,1,2]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,5,6,3,2,1]=>[6,5,4,1,2,3]=>[6,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],.]
[4,6,1,2,3,5]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,2,5,3]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,3,2,5]=>[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,3,5,2]=>[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,5,2,3]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,5,3,2]=>[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,2,1,3,5]=>[4,3,5,1,6,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,1,5,3]=>[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,3,1,5]=>[5,3,4,1,6,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,2,3,5,1]=>[6,3,4,1,5,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,2,5,1,3]=>[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,2,5,3,1]=>[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,3,1,2,5]=>[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,2,1,5]=>[5,4,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[4,6,3,2,5,1]=>[6,4,3,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[4,6,3,5,1,2]=>[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,3,5,2,1]=>[6,5,3,1,4,2]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[4,6,5,1,2,3]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,2,1,3]=>[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,6,5,2,3,1]=>[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[4,6,5,3,1,2]=>[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,6,5,3,2,1]=>[6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],.]
[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,6,4]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,3,6]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,6,3]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,3,4]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,4,3]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,4,6]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,6,4]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,2,6]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,6,2]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,6,2,4]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,6,4,2]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,3,6]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,6,3]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,2,6]=>[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,6,2]=>[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,6,2,3]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,6,3,2]=>[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,3,4]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,4,3]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,3,2,4]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,3,4,2]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,4,2,3]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,4,3,2]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,3,4,6]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,6,4]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,3,6]=>[3,2,5,4,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,6,3]=>[3,2,6,4,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,6,3,4]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,6,4,3]=>[3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,3,1,4,6]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,1,6,4]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,4,1,6]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,4,6,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,3,6,1,4]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,6,4,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,4,1,3,6]=>[4,2,5,3,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,1,6,3]=>[4,2,6,3,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,3,1,6]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,3,6,1]=>[6,2,4,3,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,4,6,1,3]=>[5,2,6,3,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,6,3,1]=>[6,2,5,3,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,6,1,3,4]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,6,1,4,3]=>[4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,6,3,1,4]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,3,4,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,4,3,1]=>[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,3,1,2,4,6]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,6,4]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,4,2,6]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,4,6,2]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,6,2,4]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,6,4,2]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,2,1,4,6]=>[4,3,2,5,1,6]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,1,6,4]=>[4,3,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,4,1,6]=>[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,4,6,1]=>[6,3,2,4,1,5]=>[6,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,6,4,1]=>[6,3,2,5,1,4]=>[6,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[5,3,4,1,2,6]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,4,1,6,2]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,4,2,1,6]=>[5,4,2,3,1,6]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,3,4,2,6,1]=>[6,4,2,3,1,5]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[5,3,4,6,1,2]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,4,6,2,1]=>[6,5,2,3,1,4]=>[6,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],.]
[5,3,6,1,2,4]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,6,1,4,2]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,6,2,1,4]=>[5,4,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,3,6,2,4,1]=>[6,4,2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[5,3,6,4,1,2]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,6,4,2,1]=>[6,5,2,4,1,3]=>[6,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],.]
[5,4,1,2,3,6]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,6,3]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,3,2,6]=>[3,5,4,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,3,6,2]=>[3,6,4,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,6,2,3]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,6,3,2]=>[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,2,1,3,6]=>[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,1,6,3]=>[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,3,1,6]=>[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,2,3,6,1]=>[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[5,4,2,6,1,3]=>[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,2,6,3,1]=>[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[5,4,3,1,2,6]=>[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,3,1,6,2]=>[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,2,6,1]=>[6,4,3,2,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]
[5,4,3,6,1,2]=>[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,3,6,2,1]=>[6,5,3,2,1,4]=>[6,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],.]
[5,4,6,1,2,3]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,6,1,3,2]=>[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,6,2,3,1]=>[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[5,4,6,3,1,2]=>[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,6,3,2,1]=>[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],.]
[5,6,1,2,3,4]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,2,4,3]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,3,2,4]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,3,4,2]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,4,2,3]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,4,3,2]=>[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,2,1,3,4]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,2,1,4,3]=>[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,2,3,1,4]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,2,3,4,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[5,6,2,4,1,3]=>[5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,2,4,3,1]=>[6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[5,6,3,1,2,4]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,3,1,4,2]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,3,2,1,4]=>[5,4,3,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,6,3,2,4,1]=>[6,4,3,5,1,2]=>[6,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,4,2,1]=>[6,5,3,4,1,2]=>[6,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],.]
[5,6,4,1,2,3]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,4,1,3,2]=>[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,4,2,1,3]=>[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,6,4,2,3,1]=>[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,6,4,3,2,1]=>[6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],.]
[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,5,4]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,3,5]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,5,3]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,3,4]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,4,3]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,4,5]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,5,4]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,4,2,5]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,4,5,2]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,5,2,4]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,5,4,2]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,3,5]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,5,3]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,3,2,5]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,3,5,2]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,5,2,3]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,5,3,2]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,3,4]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,4,3]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,3,2,4]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,3,4,2]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,4,2,3]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,4,3,2]=>[2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,3,4,5]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,5,4]=>[3,2,4,6,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,3,5]=>[3,2,5,4,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,5,3]=>[3,2,6,4,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,5,3,4]=>[3,2,5,6,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,5,4,3]=>[3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,3,1,4,5]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,1,5,4]=>[4,2,3,6,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,4,1,5]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,3,4,5,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,5,1,4]=>[5,2,3,6,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,3,5,4,1]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,1,3,5]=>[4,2,5,3,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,1,5,3]=>[4,2,6,3,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,3,1,5]=>[5,2,4,3,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,4,3,5,1]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,5,1,3]=>[5,2,6,3,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,4,5,3,1]=>[6,2,5,3,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,1,3,4]=>[4,2,5,6,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,5,1,4,3]=>[4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,5,3,1,4]=>[5,2,4,6,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,5,3,4,1]=>[6,2,4,5,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,4,1,3]=>[5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,3,1,2,4,5]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,2,5,4]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,4,2,5]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,4,5,2]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,5,2,4]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,5,4,2]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,2,1,4,5]=>[4,3,2,5,6,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,1,5,4]=>[4,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,4,1,5]=>[5,3,2,4,6,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,3,2,4,5,1]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,5,1,4]=>[5,3,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,4,1,2,5]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,4,1,5,2]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,4,2,1,5]=>[5,4,2,3,6,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[6,3,4,2,5,1]=>[6,4,2,3,5,1]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,3,4,5,1,2]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,3,4,5,2,1]=>[6,5,2,3,4,1]=>[6,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,3,5,1,2,4]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,5,1,4,2]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,5,2,1,4]=>[5,4,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[6,3,5,2,4,1]=>[6,4,2,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,3,5,4,1,2]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,3,5,4,2,1]=>[6,5,2,4,3,1]=>[6,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,4,1,2,3,5]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,2,5,3]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,3,2,5]=>[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,3,5,2]=>[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,5,2,3]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,5,3,2]=>[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,2,1,3,5]=>[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,1,5,3]=>[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,3,1,5]=>[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,2,3,5,1]=>[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,4,2,5,1,3]=>[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,2,5,3,1]=>[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,4,3,1,2,5]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,3,1,5,2]=>[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,3,2,1,5]=>[5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]
[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,3,5,1,2]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,3,5,2,1]=>[6,5,3,2,4,1]=>[6,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,4,5,1,2,3]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,4,5,1,3,2]=>[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,4,5,2,1,3]=>[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,5,3,1,2]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[6,4,5,3,2,1]=>[6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],.]
[6,5,1,2,3,4]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
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[1,5,2,3,6,4,7]=>[1,3,4,6,2,5,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,2,3,7,4,6]=>[1,3,4,6,2,7,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,2,4,3,6,7]=>[1,3,5,4,2,6,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,4,3,7,6]=>[1,3,5,4,2,7,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,4,6,3,7]=>[1,3,6,4,2,5,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,2,4,7,3,6]=>[1,3,6,4,2,7,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,4,7,6,3]=>[1,3,7,4,2,6,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,6,3,4,7]=>[1,3,5,6,2,4,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,6,3,7,4]=>[1,3,5,7,2,4,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,6,4,3,7]=>[1,3,6,5,2,4,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,6,4,7,3]=>[1,3,7,5,2,4,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,2,7,3,4,6]=>[1,3,5,6,2,7,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,2,7,4,3,6]=>[1,3,6,5,2,7,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,7,4,6,3]=>[1,3,7,5,2,6,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,3,2,4,6,7]=>[1,4,3,5,2,6,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,2,4,7,6]=>[1,4,3,5,2,7,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,2,6,4,7]=>[1,4,3,6,2,5,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,3,2,7,4,6]=>[1,4,3,6,2,7,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,3,4,2,6,7]=>[1,5,3,4,2,6,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,4,2,7,6]=>[1,5,3,4,2,7,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,4,2,6,3,7]=>[1,4,6,3,2,5,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,7,6,2,4,3]=>[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,6,2,3,4,7,5]=>[1,3,4,5,7,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,3,5,4,7]=>[1,3,4,6,5,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,3,5,7,4]=>[1,3,4,7,5,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,3,7,4,5]=>[1,3,4,6,7,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,3,7,5,4]=>[1,3,4,7,6,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,3,5,7]=>[1,3,5,4,6,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,3,7,5]=>[1,3,5,4,7,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,5,3,7]=>[1,3,6,4,5,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,5,7,3]=>[1,3,7,4,5,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,7,3,5]=>[1,3,6,4,7,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,7,5,3]=>[1,3,7,4,6,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,3,4,7]=>[1,3,5,6,4,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,3,7,4]=>[1,3,5,7,4,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,4,3,7]=>[1,3,6,5,4,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,4,7,3]=>[1,3,7,5,4,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,7,3,4]=>[1,3,6,7,4,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,7,4,3]=>[1,3,7,6,4,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,7,3,4,5]=>[1,3,5,6,7,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,7,3,5,4]=>[1,3,5,7,6,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,7,4,3,5]=>[1,3,6,5,7,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,7,4,5,3]=>[1,3,7,5,6,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,7,5,3,4]=>[1,3,6,7,5,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,7,5,4,3]=>[1,3,7,6,5,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,2,4,5,7]=>[1,4,3,5,6,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,2,4,7,5]=>[1,4,3,5,7,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,2,5,7,4]=>[1,4,3,7,5,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,2,7,4,5]=>[1,4,3,6,7,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,2,7,5,4]=>[1,4,3,7,6,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,4,2,5,7]=>[1,5,3,4,6,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,4,2,7,5]=>[1,5,3,4,7,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,4,5,2,7]=>[1,6,3,4,5,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,6,3,5,2,7,4]=>[1,5,3,7,4,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,5,4,2,7]=>[1,6,3,5,4,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,6,3,7,2,4,5]=>[1,5,3,6,7,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,7,2,5,4]=>[1,5,3,7,6,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,7,4,2,5]=>[1,6,3,5,7,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,6,4,2,3,7,5]=>[1,4,5,3,7,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,2,5,3,7]=>[1,4,6,3,5,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,2,3,5,4,6]=>[1,3,4,6,5,7,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,2,4,5,3,6]=>[1,3,6,4,5,7,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,2,4,6,5,3]=>[1,3,7,4,6,5,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,5,3,4,6]=>[1,3,5,6,4,7,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,2,5,4,3,6]=>[1,3,6,5,4,7,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,2,6,4,3,5]=>[1,3,6,5,7,4,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,3,2,4,5,6]=>[1,4,3,5,6,7,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,3,2,5,4,6]=>[1,4,3,6,5,7,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,5,4,3,2,6]=>[1,6,5,4,3,7,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,4,3,6,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,4,6,2,3]=>[1,6,7,4,3,5,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,4,6,3,2]=>[1,7,6,4,3,5,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,2,3,4]=>[1,5,6,7,3,4,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,2,4,3]=>[1,5,7,6,3,4,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,3,2,4]=>[1,6,5,7,3,4,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,3,4,2]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,4,2,3]=>[1,6,7,5,3,4,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,4,3,2]=>[1,7,6,5,3,4,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,3,4,5]=>[1,4,5,6,7,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,3,5,4]=>[1,4,5,7,6,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,4,3,5]=>[1,4,6,5,7,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,4,5,3]=>[1,4,7,5,6,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,5,3,4]=>[1,4,6,7,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,5,4,3]=>[1,4,7,6,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,2,4,5]=>[1,5,4,6,7,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,2,5,4]=>[1,5,4,7,6,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,4,2,5]=>[1,6,4,5,7,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,4,5,2]=>[1,7,4,5,6,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,5,2,4]=>[1,6,4,7,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,5,4,2]=>[1,7,4,6,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,2,3,5]=>[1,5,6,4,7,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,2,5,3]=>[1,5,7,4,6,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,3,2,5]=>[1,6,5,4,7,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,3,5,2]=>[1,7,5,4,6,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,5,2,3]=>[1,6,7,4,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,5,3,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,2,3,4]=>[1,5,6,7,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,2,4,3]=>[1,5,7,6,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,3,2,4]=>[1,6,5,7,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,3,4,2]=>[1,7,5,6,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,4,2,3]=>[1,6,7,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,6,7,5]=>[2,1,3,4,7,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,7,5,6]=>[2,1,3,4,6,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,6,4,7]=>[2,1,3,6,4,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,6,7,4]=>[2,1,3,7,4,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,7,4,6]=>[2,1,3,6,4,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,7,6,4]=>[2,1,3,7,4,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,4,5,7]=>[2,1,3,5,6,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,4,7,5]=>[2,1,3,5,7,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,5,7,4]=>[2,1,3,7,5,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,7,4,5]=>[2,1,3,6,7,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,7,5,4]=>[2,1,3,7,6,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,4,5,6]=>[2,1,3,5,6,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,4,6,5]=>[2,1,3,5,7,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,5,4,6]=>[2,1,3,6,5,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,5,6,4]=>[2,1,3,7,5,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,6,4,5]=>[2,1,3,6,7,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,6,7,5]=>[2,1,4,3,7,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,7,5,6]=>[2,1,4,3,6,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,3,6,7]=>[2,1,5,3,4,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,3,7,6]=>[2,1,5,3,4,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,6,3,7]=>[2,1,6,3,4,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,6,7,3]=>[2,1,7,3,4,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,7,3,6]=>[2,1,6,3,4,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,7,6,3]=>[2,1,7,3,4,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,3,5,7]=>[2,1,5,3,6,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,3,7,5]=>[2,1,5,3,7,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,5,3,7]=>[2,1,6,3,5,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,5,7,3]=>[2,1,7,3,5,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,7,3,5]=>[2,1,6,3,7,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,7,5,3]=>[2,1,7,3,6,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,3,5,6]=>[2,1,5,3,6,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,5,3,6]=>[2,1,6,3,5,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,5,6,3]=>[2,1,7,3,5,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,6,5,3]=>[2,1,7,3,6,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,4,6,7]=>[2,1,4,5,3,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,4,7,6]=>[2,1,4,5,3,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,6,4,7]=>[2,1,4,6,3,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,6,7,4]=>[2,1,4,7,3,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,7,4,6]=>[2,1,4,6,3,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,7,6,4]=>[2,1,4,7,3,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,6,3,7]=>[2,1,6,4,3,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,6,7,3]=>[2,1,7,4,3,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,7,6,3]=>[2,1,7,4,3,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,3,4,7]=>[2,1,5,6,3,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,3,7,4]=>[2,1,5,7,3,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,4,3,7]=>[2,1,6,5,3,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,4,7,3]=>[2,1,7,5,3,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,7,3,4]=>[2,1,6,7,3,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,7,4,3]=>[2,1,7,6,3,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,3,4,6]=>[2,1,5,6,3,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,3,6,4]=>[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,4,6,3]=>[2,1,7,5,3,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,6,3,4]=>[2,1,6,7,3,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,6,4,3]=>[2,1,7,6,3,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,4,5,7]=>[2,1,4,5,6,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,4,7,5]=>[2,1,4,5,7,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,5,4,7]=>[2,1,4,6,5,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,5,7,4]=>[2,1,4,7,5,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,7,4,5]=>[2,1,4,6,7,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,7,5,4]=>[2,1,4,7,6,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,3,5,7]=>[2,1,5,4,6,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,3,7,5]=>[2,1,5,4,7,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,5,3,7]=>[2,1,6,4,5,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,5,7,3]=>[2,1,7,4,5,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,7,3,5]=>[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,7,5,3]=>[2,1,7,4,6,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,3,4,7]=>[2,1,5,6,4,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,3,7,4]=>[2,1,5,7,4,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,4,7,3]=>[2,1,7,5,4,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,7,3,4]=>[2,1,6,7,4,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,7,4,3]=>[2,1,7,6,4,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,3,4,5]=>[2,1,5,6,7,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,3,5,4]=>[2,1,5,7,6,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,4,3,5]=>[2,1,6,5,7,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,4,5,3]=>[2,1,7,5,6,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,5,3,4]=>[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,5,4,3]=>[2,1,7,6,5,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,4,5,6]=>[2,1,4,5,6,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,4,6,5]=>[2,1,4,5,7,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,5,4,6]=>[2,1,4,6,5,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,5,6,4]=>[2,1,4,7,5,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,6,4,5]=>[2,1,4,6,7,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,6,5,4]=>[2,1,4,7,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,3,5,6]=>[2,1,5,4,6,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,5,3,6]=>[2,1,6,4,5,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,5,6,3]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,6,3,5]=>[2,1,6,4,7,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,6,5,3]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,3,4,6]=>[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,3,6,4]=>[2,1,5,7,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,4,3,6]=>[2,1,6,5,4,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,4,6,3]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,6,3,4]=>[2,1,6,7,4,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,6,4,3]=>[2,1,7,6,4,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,3,4,5]=>[2,1,5,6,7,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,3,5,4]=>[2,1,5,7,6,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,4,3,5]=>[2,1,6,5,7,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,4,5,3]=>[2,1,7,5,6,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,5,3,4]=>[2,1,6,7,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,4,5,7,6]=>[3,1,2,4,5,7,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,4,6,5,7]=>[3,1,2,4,6,5,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,4,6,7,5]=>[3,1,2,4,7,5,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,4,7,5,6]=>[3,1,2,4,6,7,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,4,7,6,5]=>[3,1,2,4,7,6,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,5,4,6,7]=>[3,1,2,5,4,6,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,5,4,7,6]=>[3,1,2,5,4,7,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,5,6,4,7]=>[3,1,2,6,4,5,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,5,6,7,4]=>[3,1,2,7,4,5,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,5,7,4,6]=>[3,1,2,6,4,7,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,5,7,6,4]=>[3,1,2,7,4,6,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,6,4,5,7]=>[3,1,2,5,6,4,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,6,4,7,5]=>[3,1,2,5,7,4,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,6,5,4,7]=>[3,1,2,6,5,4,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,6,5,7,4]=>[3,1,2,7,5,4,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,6,7,4,5]=>[3,1,2,6,7,4,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,6,7,5,4]=>[3,1,2,7,6,4,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,7,4,5,6]=>[3,1,2,5,6,7,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,7,4,6,5]=>[3,1,2,5,7,6,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,7,5,4,6]=>[3,1,2,6,5,7,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,7,5,6,4]=>[3,1,2,7,5,6,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,7,6,4,5]=>[3,1,2,6,7,5,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,1,7,6,5,4]=>[3,1,2,7,6,5,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,4,1,5,7,6]=>[4,1,2,3,5,7,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,4,1,6,5,7]=>[4,1,2,3,6,5,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,4,1,6,7,5]=>[4,1,2,3,7,5,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,4,1,7,5,6]=>[4,1,2,3,6,7,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,4,1,7,6,5]=>[4,1,2,3,7,6,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,4,5,1,7,6]=>[5,1,2,3,4,7,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,4,5,7,1,6]=>[6,1,2,3,4,7,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,4,5,7,6,1]=>[7,1,2,3,4,6,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,4,6,1,5,7]=>[5,1,2,3,6,4,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,4,6,1,7,5]=>[5,1,2,3,7,4,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,4,6,5,1,7]=>[6,1,2,3,5,4,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,4,6,5,7,1]=>[7,1,2,3,5,4,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,4,6,7,1,5]=>[6,1,2,3,7,4,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,4,6,7,5,1]=>[7,1,2,3,6,4,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,4,7,1,5,6]=>[5,1,2,3,6,7,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,4,7,1,6,5]=>[5,1,2,3,7,6,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,4,7,5,1,6]=>[6,1,2,3,5,7,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,4,7,5,6,1]=>[7,1,2,3,5,6,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,4,7,6,1,5]=>[6,1,2,3,7,5,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,4,7,6,5,1]=>[7,1,2,3,6,5,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,5,1,4,6,7]=>[4,1,2,5,3,6,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,5,1,4,7,6]=>[4,1,2,5,3,7,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,5,1,6,4,7]=>[4,1,2,6,3,5,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,5,1,6,7,4]=>[4,1,2,7,3,5,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,5,1,7,4,6]=>[4,1,2,6,3,7,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,5,1,7,6,4]=>[4,1,2,7,3,6,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,5,4,1,6,7]=>[5,1,2,4,3,6,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,5,4,1,7,6]=>[5,1,2,4,3,7,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,5,4,6,1,7]=>[6,1,2,4,3,5,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,5,4,6,7,1]=>[7,1,2,4,3,5,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,5,4,7,1,6]=>[6,1,2,4,3,7,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,5,4,7,6,1]=>[7,1,2,4,3,6,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,5,6,1,4,7]=>[5,1,2,6,3,4,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,5,6,1,7,4]=>[5,1,2,7,3,4,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,5,6,4,1,7]=>[6,1,2,5,3,4,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,5,6,4,7,1]=>[7,1,2,5,3,4,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,5,6,7,1,4]=>[6,1,2,7,3,4,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,5,6,7,4,1]=>[7,1,2,6,3,4,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,5,7,1,4,6]=>[5,1,2,6,3,7,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,5,7,1,6,4]=>[5,1,2,7,3,6,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,5,7,4,1,6]=>[6,1,2,5,3,7,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,5,7,4,6,1]=>[7,1,2,5,3,6,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,5,7,6,1,4]=>[6,1,2,7,3,5,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,5,7,6,4,1]=>[7,1,2,6,3,5,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,6,1,4,5,7]=>[4,1,2,5,6,3,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,6,1,4,7,5]=>[4,1,2,5,7,3,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,6,1,5,4,7]=>[4,1,2,6,5,3,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,6,1,5,7,4]=>[4,1,2,7,5,3,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,6,1,7,4,5]=>[4,1,2,6,7,3,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,6,1,7,5,4]=>[4,1,2,7,6,3,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,6,4,1,5,7]=>[5,1,2,4,6,3,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,6,4,1,7,5]=>[5,1,2,4,7,3,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,6,4,5,1,7]=>[6,1,2,4,5,3,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,6,4,5,7,1]=>[7,1,2,4,5,3,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,6,4,7,1,5]=>[6,1,2,4,7,3,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,6,4,7,5,1]=>[7,1,2,4,6,3,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,6,5,1,4,7]=>[5,1,2,6,4,3,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,6,5,1,7,4]=>[5,1,2,7,4,3,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,6,5,4,1,7]=>[6,1,2,5,4,3,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,6,5,4,7,1]=>[7,1,2,5,4,3,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,6,5,7,1,4]=>[6,1,2,7,4,3,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,6,5,7,4,1]=>[7,1,2,6,4,3,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,6,7,1,4,5]=>[5,1,2,6,7,3,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,6,7,1,5,4]=>[5,1,2,7,6,3,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,6,7,4,1,5]=>[6,1,2,5,7,3,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,6,7,4,5,1]=>[7,1,2,5,6,3,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,6,7,5,1,4]=>[6,1,2,7,5,3,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,6,7,5,4,1]=>[7,1,2,6,5,3,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,7,1,4,5,6]=>[4,1,2,5,6,7,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,7,1,4,6,5]=>[4,1,2,5,7,6,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,7,1,5,4,6]=>[4,1,2,6,5,7,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,7,1,5,6,4]=>[4,1,2,7,5,6,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,7,1,6,4,5]=>[4,1,2,6,7,5,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,7,1,6,5,4]=>[4,1,2,7,6,5,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,7,4,1,5,6]=>[5,1,2,4,6,7,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,7,4,1,6,5]=>[5,1,2,4,7,6,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,7,4,5,1,6]=>[6,1,2,4,5,7,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,7,4,5,6,1]=>[7,1,2,4,5,6,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,7,4,6,1,5]=>[6,1,2,4,7,5,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,7,4,6,5,1]=>[7,1,2,4,6,5,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,7,5,1,4,6]=>[5,1,2,6,4,7,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,7,5,1,6,4]=>[5,1,2,7,4,6,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,7,5,4,1,6]=>[6,1,2,5,4,7,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,7,5,4,6,1]=>[7,1,2,5,4,6,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,7,5,6,1,4]=>[6,1,2,7,4,5,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,7,5,6,4,1]=>[7,1,2,6,4,5,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,7,6,1,4,5]=>[5,1,2,6,7,4,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,7,6,1,5,4]=>[5,1,2,7,6,4,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,7,6,4,1,5]=>[6,1,2,5,7,4,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,7,6,4,5,1]=>[7,1,2,5,6,4,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,7,6,5,1,4]=>[6,1,2,7,5,4,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,7,6,5,4,1]=>[7,1,2,6,5,4,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,1,3,5,6,7]=>[3,1,4,2,5,6,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,3,5,7,6]=>[3,1,4,2,5,7,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,3,6,5,7]=>[3,1,4,2,6,5,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,3,6,7,5]=>[3,1,4,2,7,5,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,3,7,5,6]=>[3,1,4,2,6,7,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,3,7,6,5]=>[3,1,4,2,7,6,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,5,3,6,7]=>[3,1,5,2,4,6,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,5,3,7,6]=>[3,1,5,2,4,7,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,5,6,3,7]=>[3,1,6,2,4,5,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,5,6,7,3]=>[3,1,7,2,4,5,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,5,7,3,6]=>[3,1,6,2,4,7,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,5,7,6,3]=>[3,1,7,2,4,6,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,6,3,5,7]=>[3,1,5,2,6,4,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,6,3,7,5]=>[3,1,5,2,7,4,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,6,5,3,7]=>[3,1,6,2,5,4,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,6,5,7,3]=>[3,1,7,2,5,4,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,6,7,3,5]=>[3,1,6,2,7,4,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,6,7,5,3]=>[3,1,7,2,6,4,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,7,3,5,6]=>[3,1,5,2,6,7,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,7,3,6,5]=>[3,1,5,2,7,6,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,7,5,3,6]=>[3,1,6,2,5,7,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,7,5,6,3]=>[3,1,7,2,5,6,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,7,6,3,5]=>[3,1,6,2,7,5,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,7,6,5,3]=>[3,1,7,2,6,5,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,3,1,5,6,7]=>[4,1,3,2,5,6,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,3,1,5,7,6]=>[4,1,3,2,5,7,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,3,1,6,5,7]=>[4,1,3,2,6,5,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,3,1,6,7,5]=>[4,1,3,2,7,5,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,3,1,7,5,6]=>[4,1,3,2,6,7,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,3,1,7,6,5]=>[4,1,3,2,7,6,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,3,5,1,6,7]=>[5,1,3,2,4,6,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,3,5,1,7,6]=>[5,1,3,2,4,7,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,3,5,6,1,7]=>[6,1,3,2,4,5,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,3,5,6,7,1]=>[7,1,3,2,4,5,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,3,5,7,1,6]=>[6,1,3,2,4,7,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,3,5,7,6,1]=>[7,1,3,2,4,6,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,3,6,1,5,7]=>[5,1,3,2,6,4,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,3,6,1,7,5]=>[5,1,3,2,7,4,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,3,6,5,1,7]=>[6,1,3,2,5,4,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,3,6,5,7,1]=>[7,1,3,2,5,4,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,3,6,7,1,5]=>[6,1,3,2,7,4,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,3,6,7,5,1]=>[7,1,3,2,6,4,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,3,7,1,5,6]=>[5,1,3,2,6,7,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,3,7,1,6,5]=>[5,1,3,2,7,6,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,3,7,5,1,6]=>[6,1,3,2,5,7,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,3,7,5,6,1]=>[7,1,3,2,5,6,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,3,7,6,1,5]=>[6,1,3,2,7,5,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,3,7,6,5,1]=>[7,1,3,2,6,5,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,5,1,3,6,7]=>[4,1,5,2,3,6,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,5,1,3,7,6]=>[4,1,5,2,3,7,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,5,1,6,3,7]=>[4,1,6,2,3,5,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,5,1,6,7,3]=>[4,1,7,2,3,5,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,5,1,7,3,6]=>[4,1,6,2,3,7,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,5,1,7,6,3]=>[4,1,7,2,3,6,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,5,3,1,6,7]=>[5,1,4,2,3,6,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,5,3,1,7,6]=>[5,1,4,2,3,7,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,5,3,6,1,7]=>[6,1,4,2,3,5,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,5,3,6,7,1]=>[7,1,4,2,3,5,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,5,3,7,1,6]=>[6,1,4,2,3,7,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,5,3,7,6,1]=>[7,1,4,2,3,6,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,5,6,1,3,7]=>[5,1,6,2,3,4,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,5,6,1,7,3]=>[5,1,7,2,3,4,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,5,6,3,1,7]=>[6,1,5,2,3,4,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,5,6,3,7,1]=>[7,1,5,2,3,4,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,5,6,7,1,3]=>[6,1,7,2,3,4,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,5,6,7,3,1]=>[7,1,6,2,3,4,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,5,7,1,3,6]=>[5,1,6,2,3,7,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,5,7,1,6,3]=>[5,1,7,2,3,6,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,5,7,3,1,6]=>[6,1,5,2,3,7,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,5,7,3,6,1]=>[7,1,5,2,3,6,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,5,7,6,1,3]=>[6,1,7,2,3,5,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,5,7,6,3,1]=>[7,1,6,2,3,5,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,6,1,3,5,7]=>[4,1,5,2,6,3,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,6,1,3,7,5]=>[4,1,5,2,7,3,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,6,1,5,3,7]=>[4,1,6,2,5,3,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,6,1,5,7,3]=>[4,1,7,2,5,3,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,6,1,7,3,5]=>[4,1,6,2,7,3,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,6,1,7,5,3]=>[4,1,7,2,6,3,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,6,3,1,5,7]=>[5,1,4,2,6,3,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,6,3,1,7,5]=>[5,1,4,2,7,3,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,6,3,5,1,7]=>[6,1,4,2,5,3,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,6,3,5,7,1]=>[7,1,4,2,5,3,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,6,3,7,1,5]=>[6,1,4,2,7,3,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,6,3,7,5,1]=>[7,1,4,2,6,3,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,6,5,1,3,7]=>[5,1,6,2,4,3,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,6,5,1,7,3]=>[5,1,7,2,4,3,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,6,5,3,1,7]=>[6,1,5,2,4,3,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,6,5,3,7,1]=>[7,1,5,2,4,3,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,6,5,7,1,3]=>[6,1,7,2,4,3,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,6,5,7,3,1]=>[7,1,6,2,4,3,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,6,7,1,3,5]=>[5,1,6,2,7,3,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,6,7,1,5,3]=>[5,1,7,2,6,3,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,6,7,3,1,5]=>[6,1,5,2,7,3,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,6,7,3,5,1]=>[7,1,5,2,6,3,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,6,7,5,1,3]=>[6,1,7,2,5,3,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,6,7,5,3,1]=>[7,1,6,2,5,3,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,7,1,3,5,6]=>[4,1,5,2,6,7,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,7,1,3,6,5]=>[4,1,5,2,7,6,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,7,1,5,3,6]=>[4,1,6,2,5,7,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,7,1,5,6,3]=>[4,1,7,2,5,6,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,7,1,6,3,5]=>[4,1,6,2,7,5,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,7,1,6,5,3]=>[4,1,7,2,6,5,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,7,3,1,5,6]=>[5,1,4,2,6,7,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,7,3,1,6,5]=>[5,1,4,2,7,6,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,7,3,5,1,6]=>[6,1,4,2,5,7,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,7,3,5,6,1]=>[7,1,4,2,5,6,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,7,3,6,1,5]=>[6,1,4,2,7,5,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,7,3,6,5,1]=>[7,1,4,2,6,5,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,7,5,1,3,6]=>[5,1,6,2,4,7,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,7,5,1,6,3]=>[5,1,7,2,4,6,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,7,5,3,1,6]=>[6,1,5,2,4,7,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,7,5,3,6,1]=>[7,1,5,2,4,6,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,7,5,6,1,3]=>[6,1,7,2,4,5,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,7,5,6,3,1]=>[7,1,6,2,4,5,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,7,6,1,3,5]=>[5,1,6,2,7,4,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,7,6,1,5,3]=>[5,1,7,2,6,4,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,7,6,3,1,5]=>[6,1,5,2,7,4,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,7,6,3,5,1]=>[7,1,5,2,6,4,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,4,7,6,5,1,3]=>[6,1,7,2,5,4,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,4,7,6,5,3,1]=>[7,1,6,2,5,4,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,1,3,4,6,7]=>[3,1,4,5,2,6,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,3,4,7,6]=>[3,1,4,5,2,7,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,3,6,4,7]=>[3,1,4,6,2,5,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,3,6,7,4]=>[3,1,4,7,2,5,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,3,7,4,6]=>[3,1,4,6,2,7,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,3,7,6,4]=>[3,1,4,7,2,6,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,4,3,6,7]=>[3,1,5,4,2,6,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,4,6,3,7]=>[3,1,6,4,2,5,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,4,6,7,3]=>[3,1,7,4,2,5,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,4,7,6,3]=>[3,1,7,4,2,6,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,6,3,4,7]=>[3,1,5,6,2,4,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,6,3,7,4]=>[3,1,5,7,2,4,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,6,4,3,7]=>[3,1,6,5,2,4,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,6,4,7,3]=>[3,1,7,5,2,4,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,6,7,3,4]=>[3,1,6,7,2,4,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,6,7,4,3]=>[3,1,7,6,2,4,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,7,3,4,6]=>[3,1,5,6,2,7,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,7,3,6,4]=>[3,1,5,7,2,6,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,7,4,6,3]=>[3,1,7,5,2,6,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,7,6,3,4]=>[3,1,6,7,2,5,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,7,6,4,3]=>[3,1,7,6,2,5,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,3,1,4,6,7]=>[4,1,3,5,2,6,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,3,1,4,7,6]=>[4,1,3,5,2,7,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,3,1,6,4,7]=>[4,1,3,6,2,5,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,3,1,6,7,4]=>[4,1,3,7,2,5,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,3,1,7,4,6]=>[4,1,3,6,2,7,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,3,1,7,6,4]=>[4,1,3,7,2,6,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,3,4,1,6,7]=>[5,1,3,4,2,6,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,3,4,1,7,6]=>[5,1,3,4,2,7,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,3,4,6,1,7]=>[6,1,3,4,2,5,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,3,4,6,7,1]=>[7,1,3,4,2,5,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,3,4,7,1,6]=>[6,1,3,4,2,7,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,3,4,7,6,1]=>[7,1,3,4,2,6,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,3,6,1,4,7]=>[5,1,3,6,2,4,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,3,6,1,7,4]=>[5,1,3,7,2,4,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,3,6,4,1,7]=>[6,1,3,5,2,4,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,3,6,4,7,1]=>[7,1,3,5,2,4,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,3,6,7,1,4]=>[6,1,3,7,2,4,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,3,6,7,4,1]=>[7,1,3,6,2,4,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,3,7,1,4,6]=>[5,1,3,6,2,7,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,3,7,1,6,4]=>[5,1,3,7,2,6,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,3,7,4,1,6]=>[6,1,3,5,2,7,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,3,7,4,6,1]=>[7,1,3,5,2,6,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,3,7,6,1,4]=>[6,1,3,7,2,5,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,3,7,6,4,1]=>[7,1,3,6,2,5,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,4,1,3,6,7]=>[4,1,5,3,2,6,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,4,1,3,7,6]=>[4,1,5,3,2,7,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,4,1,6,3,7]=>[4,1,6,3,2,5,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,4,1,6,7,3]=>[4,1,7,3,2,5,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,4,1,7,3,6]=>[4,1,6,3,2,7,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,4,1,7,6,3]=>[4,1,7,3,2,6,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,4,3,1,6,7]=>[5,1,4,3,2,6,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,4,3,1,7,6]=>[5,1,4,3,2,7,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,4,3,6,1,7]=>[6,1,4,3,2,5,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,4,3,6,7,1]=>[7,1,4,3,2,5,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,4,3,7,1,6]=>[6,1,4,3,2,7,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,4,3,7,6,1]=>[7,1,4,3,2,6,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,4,6,1,3,7]=>[5,1,6,3,2,4,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,4,6,1,7,3]=>[5,1,7,3,2,4,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,4,6,3,1,7]=>[6,1,5,3,2,4,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,4,6,3,7,1]=>[7,1,5,3,2,4,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,4,6,7,1,3]=>[6,1,7,3,2,4,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,4,6,7,3,1]=>[7,1,6,3,2,4,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,4,7,1,3,6]=>[5,1,6,3,2,7,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,4,7,1,6,3]=>[5,1,7,3,2,6,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,4,7,3,1,6]=>[6,1,5,3,2,7,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,4,7,3,6,1]=>[7,1,5,3,2,6,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,4,7,6,1,3]=>[6,1,7,3,2,5,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,4,7,6,3,1]=>[7,1,6,3,2,5,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,6,1,3,4,7]=>[4,1,5,6,2,3,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,6,1,3,7,4]=>[4,1,5,7,2,3,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,6,1,4,3,7]=>[4,1,6,5,2,3,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,6,1,4,7,3]=>[4,1,7,5,2,3,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,6,1,7,3,4]=>[4,1,6,7,2,3,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,6,1,7,4,3]=>[4,1,7,6,2,3,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,6,3,1,4,7]=>[5,1,4,6,2,3,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,6,3,1,7,4]=>[5,1,4,7,2,3,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,6,3,4,1,7]=>[6,1,4,5,2,3,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,6,3,4,7,1]=>[7,1,4,5,2,3,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,6,3,7,1,4]=>[6,1,4,7,2,3,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,6,3,7,4,1]=>[7,1,4,6,2,3,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,6,4,1,3,7]=>[5,1,6,4,2,3,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,6,4,1,7,3]=>[5,1,7,4,2,3,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,6,4,3,1,7]=>[6,1,5,4,2,3,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,6,4,3,7,1]=>[7,1,5,4,2,3,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,6,4,7,1,3]=>[6,1,7,4,2,3,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,6,4,7,3,1]=>[7,1,6,4,2,3,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,6,7,1,3,4]=>[5,1,6,7,2,3,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,6,7,1,4,3]=>[5,1,7,6,2,3,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,6,7,3,1,4]=>[6,1,5,7,2,3,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,6,7,3,4,1]=>[7,1,5,6,2,3,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,6,7,4,1,3]=>[6,1,7,5,2,3,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,6,7,4,3,1]=>[7,1,6,5,2,3,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,7,1,3,4,6]=>[4,1,5,6,2,7,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,7,1,3,6,4]=>[4,1,5,7,2,6,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,7,1,4,3,6]=>[4,1,6,5,2,7,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,7,1,4,6,3]=>[4,1,7,5,2,6,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,7,1,6,3,4]=>[4,1,6,7,2,5,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,7,1,6,4,3]=>[4,1,7,6,2,5,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,7,3,1,4,6]=>[5,1,4,6,2,7,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,7,3,1,6,4]=>[5,1,4,7,2,6,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,7,3,4,1,6]=>[6,1,4,5,2,7,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,7,3,4,6,1]=>[7,1,4,5,2,6,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,7,3,6,1,4]=>[6,1,4,7,2,5,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,7,3,6,4,1]=>[7,1,4,6,2,5,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,7,4,1,3,6]=>[5,1,6,4,2,7,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,7,4,1,6,3]=>[5,1,7,4,2,6,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,7,4,3,1,6]=>[6,1,5,4,2,7,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,7,4,3,6,1]=>[7,1,5,4,2,6,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,7,4,6,1,3]=>[6,1,7,4,2,5,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,7,4,6,3,1]=>[7,1,6,4,2,5,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,7,6,1,3,4]=>[5,1,6,7,2,4,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,7,6,1,4,3]=>[5,1,7,6,2,4,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,5,7,6,3,1,4]=>[6,1,5,7,2,4,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,7,6,3,4,1]=>[7,1,5,6,2,4,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,7,6,4,1,3]=>[6,1,7,5,2,4,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,5,7,6,4,3,1]=>[7,1,6,5,2,4,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,1,3,4,5,7]=>[3,1,4,5,6,2,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,3,4,7,5]=>[3,1,4,5,7,2,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,3,5,4,7]=>[3,1,4,6,5,2,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,3,5,7,4]=>[3,1,4,7,5,2,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,3,7,4,5]=>[3,1,4,6,7,2,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,3,7,5,4]=>[3,1,4,7,6,2,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,4,3,5,7]=>[3,1,5,4,6,2,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,4,3,7,5]=>[3,1,5,4,7,2,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,4,5,3,7]=>[3,1,6,4,5,2,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,4,5,7,3]=>[3,1,7,4,5,2,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,4,7,3,5]=>[3,1,6,4,7,2,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,4,7,5,3]=>[3,1,7,4,6,2,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,5,3,4,7]=>[3,1,5,6,4,2,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,5,3,7,4]=>[3,1,5,7,4,2,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,5,4,3,7]=>[3,1,6,5,4,2,7]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,5,4,7,3]=>[3,1,7,5,4,2,6]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,5,7,3,4]=>[3,1,6,7,4,2,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,5,7,4,3]=>[3,1,7,6,4,2,5]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,7,3,4,5]=>[3,1,5,6,7,2,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,7,3,5,4]=>[3,1,5,7,6,2,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,7,4,3,5]=>[3,1,6,5,7,2,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,7,4,5,3]=>[3,1,7,5,6,2,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,7,5,3,4]=>[3,1,6,7,5,2,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,7,5,4,3]=>[3,1,7,6,5,2,4]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,3,1,4,5,7]=>[4,1,3,5,6,2,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,3,1,4,7,5]=>[4,1,3,5,7,2,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,3,1,5,4,7]=>[4,1,3,6,5,2,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,3,1,5,7,4]=>[4,1,3,7,5,2,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,3,1,7,4,5]=>[4,1,3,6,7,2,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,3,1,7,5,4]=>[4,1,3,7,6,2,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,3,4,1,5,7]=>[5,1,3,4,6,2,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,3,4,1,7,5]=>[5,1,3,4,7,2,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,3,4,5,1,7]=>[6,1,3,4,5,2,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,3,4,5,7,1]=>[7,1,3,4,5,2,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,3,4,7,1,5]=>[6,1,3,4,7,2,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,3,4,7,5,1]=>[7,1,3,4,6,2,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,3,5,1,4,7]=>[5,1,3,6,4,2,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,3,5,1,7,4]=>[5,1,3,7,4,2,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,3,5,4,1,7]=>[6,1,3,5,4,2,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,3,5,4,7,1]=>[7,1,3,5,4,2,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,3,5,7,1,4]=>[6,1,3,7,4,2,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,3,5,7,4,1]=>[7,1,3,6,4,2,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,3,7,1,4,5]=>[5,1,3,6,7,2,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,3,7,1,5,4]=>[5,1,3,7,6,2,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,3,7,4,1,5]=>[6,1,3,5,7,2,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,3,7,4,5,1]=>[7,1,3,5,6,2,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,3,7,5,1,4]=>[6,1,3,7,5,2,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,3,7,5,4,1]=>[7,1,3,6,5,2,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,4,1,3,5,7]=>[4,1,5,3,6,2,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,4,1,3,7,5]=>[4,1,5,3,7,2,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,4,1,5,3,7]=>[4,1,6,3,5,2,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,4,1,5,7,3]=>[4,1,7,3,5,2,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,4,1,7,3,5]=>[4,1,6,3,7,2,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,4,1,7,5,3]=>[4,1,7,3,6,2,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,4,3,1,5,7]=>[5,1,4,3,6,2,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,4,3,1,7,5]=>[5,1,4,3,7,2,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,4,3,5,1,7]=>[6,1,4,3,5,2,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,4,3,5,7,1]=>[7,1,4,3,5,2,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,4,3,7,1,5]=>[6,1,4,3,7,2,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,4,3,7,5,1]=>[7,1,4,3,6,2,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,4,5,1,3,7]=>[5,1,6,3,4,2,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,4,5,1,7,3]=>[5,1,7,3,4,2,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,4,5,3,1,7]=>[6,1,5,3,4,2,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,4,5,3,7,1]=>[7,1,5,3,4,2,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,4,5,7,1,3]=>[6,1,7,3,4,2,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,4,5,7,3,1]=>[7,1,6,3,4,2,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,4,7,1,3,5]=>[5,1,6,3,7,2,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,4,7,1,5,3]=>[5,1,7,3,6,2,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,4,7,3,1,5]=>[6,1,5,3,7,2,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,4,7,3,5,1]=>[7,1,5,3,6,2,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,4,7,5,1,3]=>[6,1,7,3,5,2,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,4,7,5,3,1]=>[7,1,6,3,5,2,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,5,1,3,4,7]=>[4,1,5,6,3,2,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,5,1,3,7,4]=>[4,1,5,7,3,2,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,5,1,4,3,7]=>[4,1,6,5,3,2,7]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,5,1,4,7,3]=>[4,1,7,5,3,2,6]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,5,1,7,3,4]=>[4,1,6,7,3,2,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,5,1,7,4,3]=>[4,1,7,6,3,2,5]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,5,3,1,4,7]=>[5,1,4,6,3,2,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,5,3,1,7,4]=>[5,1,4,7,3,2,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,5,3,4,1,7]=>[6,1,4,5,3,2,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,5,3,4,7,1]=>[7,1,4,5,3,2,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,5,3,7,1,4]=>[6,1,4,7,3,2,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,5,3,7,4,1]=>[7,1,4,6,3,2,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,5,4,1,3,7]=>[5,1,6,4,3,2,7]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,5,4,1,7,3]=>[5,1,7,4,3,2,6]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,5,4,3,1,7]=>[6,1,5,4,3,2,7]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,5,4,3,7,1]=>[7,1,5,4,3,2,6]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,5,4,7,1,3]=>[6,1,7,4,3,2,5]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,5,4,7,3,1]=>[7,1,6,4,3,2,5]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,5,7,1,3,4]=>[5,1,6,7,3,2,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,5,7,1,4,3]=>[5,1,7,6,3,2,4]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,5,7,3,1,4]=>[6,1,5,7,3,2,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,5,7,3,4,1]=>[7,1,5,6,3,2,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,5,7,4,1,3]=>[6,1,7,5,3,2,4]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,5,7,4,3,1]=>[7,1,6,5,3,2,4]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,7,1,3,4,5]=>[4,1,5,6,7,2,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,7,1,3,5,4]=>[4,1,5,7,6,2,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,7,1,4,3,5]=>[4,1,6,5,7,2,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,7,1,4,5,3]=>[4,1,7,5,6,2,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,7,1,5,3,4]=>[4,1,6,7,5,2,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,7,1,5,4,3]=>[4,1,7,6,5,2,3]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,7,3,1,4,5]=>[5,1,4,6,7,2,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,7,3,1,5,4]=>[5,1,4,7,6,2,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,7,3,4,1,5]=>[6,1,4,5,7,2,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,7,3,4,5,1]=>[7,1,4,5,6,2,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,7,3,5,1,4]=>[6,1,4,7,5,2,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,7,3,5,4,1]=>[7,1,4,6,5,2,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,7,4,1,3,5]=>[5,1,6,4,7,2,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,7,4,1,5,3]=>[5,1,7,4,6,2,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,7,4,3,1,5]=>[6,1,5,4,7,2,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,7,4,3,5,1]=>[7,1,5,4,6,2,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,7,4,5,1,3]=>[6,1,7,4,5,2,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,7,4,5,3,1]=>[7,1,6,4,5,2,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,7,5,1,3,4]=>[5,1,6,7,4,2,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,7,5,1,4,3]=>[5,1,7,6,4,2,3]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,7,5,3,1,4]=>[6,1,5,7,4,2,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,7,5,3,4,1]=>[7,1,5,6,4,2,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,7,5,4,1,3]=>[6,1,7,5,4,2,3]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,6,7,5,4,3,1]=>[7,1,6,5,4,2,3]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,1,3,4,5,6]=>[3,1,4,5,6,7,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,3,4,6,5]=>[3,1,4,5,7,6,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,3,5,4,6]=>[3,1,4,6,5,7,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,3,5,6,4]=>[3,1,4,7,5,6,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,3,6,4,5]=>[3,1,4,6,7,5,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,3,6,5,4]=>[3,1,4,7,6,5,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,4,3,5,6]=>[3,1,5,4,6,7,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,4,3,6,5]=>[3,1,5,4,7,6,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,4,5,3,6]=>[3,1,6,4,5,7,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,4,5,6,3]=>[3,1,7,4,5,6,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,4,6,3,5]=>[3,1,6,4,7,5,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,4,6,5,3]=>[3,1,7,4,6,5,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,5,3,4,6]=>[3,1,5,6,4,7,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,5,3,6,4]=>[3,1,5,7,4,6,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,5,4,3,6]=>[3,1,6,5,4,7,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,5,4,6,3]=>[3,1,7,5,4,6,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,5,6,3,4]=>[3,1,6,7,4,5,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,5,6,4,3]=>[3,1,7,6,4,5,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,6,3,4,5]=>[3,1,5,6,7,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,6,3,5,4]=>[3,1,5,7,6,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,6,4,3,5]=>[3,1,6,5,7,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,6,4,5,3]=>[3,1,7,5,6,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,6,5,3,4]=>[3,1,6,7,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,3,1,4,5,6]=>[4,1,3,5,6,7,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,3,1,4,6,5]=>[4,1,3,5,7,6,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,3,1,5,4,6]=>[4,1,3,6,5,7,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,3,1,5,6,4]=>[4,1,3,7,5,6,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,3,1,6,4,5]=>[4,1,3,6,7,5,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,3,1,6,5,4]=>[4,1,3,7,6,5,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,3,4,1,5,6]=>[5,1,3,4,6,7,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,3,4,1,6,5]=>[5,1,3,4,7,6,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,3,4,5,1,6]=>[6,1,3,4,5,7,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,3,4,5,6,1]=>[7,1,3,4,5,6,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,3,4,6,1,5]=>[6,1,3,4,7,5,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,3,4,6,5,1]=>[7,1,3,4,6,5,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,3,5,1,4,6]=>[5,1,3,6,4,7,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,3,5,1,6,4]=>[5,1,3,7,4,6,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,3,5,4,1,6]=>[6,1,3,5,4,7,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,3,5,4,6,1]=>[7,1,3,5,4,6,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,3,5,6,1,4]=>[6,1,3,7,4,5,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,3,5,6,4,1]=>[7,1,3,6,4,5,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,3,6,1,4,5]=>[5,1,3,6,7,4,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,3,6,1,5,4]=>[5,1,3,7,6,4,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,3,6,4,1,5]=>[6,1,3,5,7,4,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,3,6,4,5,1]=>[7,1,3,5,6,4,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,3,6,5,1,4]=>[6,1,3,7,5,4,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,3,6,5,4,1]=>[7,1,3,6,5,4,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,4,1,3,5,6]=>[4,1,5,3,6,7,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,4,1,3,6,5]=>[4,1,5,3,7,6,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,4,1,5,3,6]=>[4,1,6,3,5,7,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,4,1,5,6,3]=>[4,1,7,3,5,6,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,4,1,6,3,5]=>[4,1,6,3,7,5,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,4,1,6,5,3]=>[4,1,7,3,6,5,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,4,3,1,5,6]=>[5,1,4,3,6,7,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,4,3,1,6,5]=>[5,1,4,3,7,6,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,4,3,5,1,6]=>[6,1,4,3,5,7,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,4,3,5,6,1]=>[7,1,4,3,5,6,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,4,3,6,1,5]=>[6,1,4,3,7,5,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,4,3,6,5,1]=>[7,1,4,3,6,5,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,4,5,1,3,6]=>[5,1,6,3,4,7,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,4,5,1,6,3]=>[5,1,7,3,4,6,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,4,5,3,1,6]=>[6,1,5,3,4,7,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,4,5,3,6,1]=>[7,1,5,3,4,6,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,4,5,6,1,3]=>[6,1,7,3,4,5,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,4,5,6,3,1]=>[7,1,6,3,4,5,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,4,6,1,3,5]=>[5,1,6,3,7,4,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,4,6,1,5,3]=>[5,1,7,3,6,4,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,4,6,3,1,5]=>[6,1,5,3,7,4,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,4,6,3,5,1]=>[7,1,5,3,6,4,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,4,6,5,1,3]=>[6,1,7,3,5,4,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,4,6,5,3,1]=>[7,1,6,3,5,4,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,5,1,3,4,6]=>[4,1,5,6,3,7,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,5,1,3,6,4]=>[4,1,5,7,3,6,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,5,1,4,3,6]=>[4,1,6,5,3,7,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,5,1,4,6,3]=>[4,1,7,5,3,6,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,5,1,6,3,4]=>[4,1,6,7,3,5,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,5,1,6,4,3]=>[4,1,7,6,3,5,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,5,3,1,4,6]=>[5,1,4,6,3,7,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,5,3,1,6,4]=>[5,1,4,7,3,6,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,5,3,4,1,6]=>[6,1,4,5,3,7,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,5,3,4,6,1]=>[7,1,4,5,3,6,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,5,3,6,1,4]=>[6,1,4,7,3,5,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,5,3,6,4,1]=>[7,1,4,6,3,5,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,5,4,1,3,6]=>[5,1,6,4,3,7,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,5,4,1,6,3]=>[5,1,7,4,3,6,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,5,4,3,1,6]=>[6,1,5,4,3,7,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,5,4,3,6,1]=>[7,1,5,4,3,6,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,5,4,6,1,3]=>[6,1,7,4,3,5,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,5,4,6,3,1]=>[7,1,6,4,3,5,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,5,6,1,3,4]=>[5,1,6,7,3,4,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,5,6,1,4,3]=>[5,1,7,6,3,4,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,5,6,3,1,4]=>[6,1,5,7,3,4,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,5,6,3,4,1]=>[7,1,5,6,3,4,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,5,6,4,1,3]=>[6,1,7,5,3,4,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,5,6,4,3,1]=>[7,1,6,5,3,4,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,6,1,3,4,5]=>[4,1,5,6,7,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,6,1,3,5,4]=>[4,1,5,7,6,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,6,1,4,3,5]=>[4,1,6,5,7,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,6,1,4,5,3]=>[4,1,7,5,6,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,6,1,5,3,4]=>[4,1,6,7,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,6,3,1,4,5]=>[5,1,4,6,7,3,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,6,3,1,5,4]=>[5,1,4,7,6,3,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,6,3,4,1,5]=>[6,1,4,5,7,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,6,3,4,5,1]=>[7,1,4,5,6,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,6,3,5,1,4]=>[6,1,4,7,5,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,6,3,5,4,1]=>[7,1,4,6,5,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,6,4,1,3,5]=>[5,1,6,4,7,3,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,6,4,1,5,3]=>[5,1,7,4,6,3,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,6,4,3,1,5]=>[6,1,5,4,7,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,6,4,3,5,1]=>[7,1,5,4,6,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,6,4,5,1,3]=>[6,1,7,4,5,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,6,4,5,3,1]=>[7,1,6,4,5,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,6,5,1,3,4]=>[5,1,6,7,4,3,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,6,5,1,4,3]=>[5,1,7,6,4,3,2]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,7,6,5,3,1,4]=>[6,1,5,7,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,6,5,3,4,1]=>[7,1,5,6,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,6,5,4,1,3]=>[6,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,6,5,4,3,1]=>[7,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,4,5,7,6]=>[2,3,1,4,5,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,4,6,5,7]=>[2,3,1,4,6,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,4,6,7,5]=>[2,3,1,4,7,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,4,7,5,6]=>[2,3,1,4,6,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,4,7,6,5]=>[2,3,1,4,7,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,5,4,6,7]=>[2,3,1,5,4,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,5,4,7,6]=>[2,3,1,5,4,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,5,6,4,7]=>[2,3,1,6,4,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,5,6,7,4]=>[2,3,1,7,4,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,5,7,4,6]=>[2,3,1,6,4,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,5,7,6,4]=>[2,3,1,7,4,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,6,4,5,7]=>[2,3,1,5,6,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,6,4,7,5]=>[2,3,1,5,7,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,6,5,4,7]=>[2,3,1,6,5,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,6,5,7,4]=>[2,3,1,7,5,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,6,7,4,5]=>[2,3,1,6,7,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,6,7,5,4]=>[2,3,1,7,6,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,7,4,5,6]=>[2,3,1,5,6,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,7,4,6,5]=>[2,3,1,5,7,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,7,5,4,6]=>[2,3,1,6,5,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,7,5,6,4]=>[2,3,1,7,5,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,7,6,4,5]=>[2,3,1,6,7,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,7,6,5,4]=>[2,3,1,7,6,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,2,5,6,7]=>[2,4,1,3,5,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,2,5,7,6]=>[2,4,1,3,5,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,2,6,5,7]=>[2,4,1,3,6,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,2,6,7,5]=>[2,4,1,3,7,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,2,7,5,6]=>[2,4,1,3,6,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,2,7,6,5]=>[2,4,1,3,7,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,5,2,6,7]=>[2,5,1,3,4,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,5,2,7,6]=>[2,5,1,3,4,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,5,6,2,7]=>[2,6,1,3,4,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,5,6,7,2]=>[2,7,1,3,4,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,5,7,2,6]=>[2,6,1,3,4,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,5,7,6,2]=>[2,7,1,3,4,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,6,2,5,7]=>[2,5,1,3,6,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,6,2,7,5]=>[2,5,1,3,7,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,6,5,2,7]=>[2,6,1,3,5,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,6,5,7,2]=>[2,7,1,3,5,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,6,7,2,5]=>[2,6,1,3,7,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,6,7,5,2]=>[2,7,1,3,6,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,7,2,5,6]=>[2,5,1,3,6,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,7,2,6,5]=>[2,5,1,3,7,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,7,5,2,6]=>[2,6,1,3,5,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,7,5,6,2]=>[2,7,1,3,5,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,7,6,2,5]=>[2,6,1,3,7,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,7,6,5,2]=>[2,7,1,3,6,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,2,4,6,7]=>[2,4,1,5,3,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,2,4,7,6]=>[2,4,1,5,3,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,2,6,4,7]=>[2,4,1,6,3,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,2,6,7,4]=>[2,4,1,7,3,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,2,7,4,6]=>[2,4,1,6,3,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,2,7,6,4]=>[2,4,1,7,3,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,4,2,6,7]=>[2,5,1,4,3,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,4,2,7,6]=>[2,5,1,4,3,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,4,6,2,7]=>[2,6,1,4,3,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,4,6,7,2]=>[2,7,1,4,3,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,4,7,2,6]=>[2,6,1,4,3,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,4,7,6,2]=>[2,7,1,4,3,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,6,2,4,7]=>[2,5,1,6,3,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,6,2,7,4]=>[2,5,1,7,3,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,6,4,2,7]=>[2,6,1,5,3,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,6,4,7,2]=>[2,7,1,5,3,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,6,7,2,4]=>[2,6,1,7,3,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,6,7,4,2]=>[2,7,1,6,3,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,7,2,4,6]=>[2,5,1,6,3,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,7,2,6,4]=>[2,5,1,7,3,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,7,4,2,6]=>[2,6,1,5,3,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,7,4,6,2]=>[2,7,1,5,3,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,7,6,2,4]=>[2,6,1,7,3,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,7,6,4,2]=>[2,7,1,6,3,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,2,4,5,7]=>[2,4,1,5,6,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,2,4,7,5]=>[2,4,1,5,7,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,2,5,4,7]=>[2,4,1,6,5,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,2,5,7,4]=>[2,4,1,7,5,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,2,7,4,5]=>[2,4,1,6,7,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,2,7,5,4]=>[2,4,1,7,6,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,4,2,5,7]=>[2,5,1,4,6,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,4,2,7,5]=>[2,5,1,4,7,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,4,5,2,7]=>[2,6,1,4,5,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,4,5,7,2]=>[2,7,1,4,5,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,4,7,2,5]=>[2,6,1,4,7,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,4,7,5,2]=>[2,7,1,4,6,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,5,2,4,7]=>[2,5,1,6,4,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,5,2,7,4]=>[2,5,1,7,4,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,5,4,2,7]=>[2,6,1,5,4,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,5,4,7,2]=>[2,7,1,5,4,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,5,7,2,4]=>[2,6,1,7,4,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,5,7,4,2]=>[2,7,1,6,4,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,7,2,4,5]=>[2,5,1,6,7,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,7,2,5,4]=>[2,5,1,7,6,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,7,4,2,5]=>[2,6,1,5,7,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,7,4,5,2]=>[2,7,1,5,6,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,7,5,2,4]=>[2,6,1,7,5,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,7,5,4,2]=>[2,7,1,6,5,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,2,4,5,6]=>[2,4,1,5,6,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,2,4,6,5]=>[2,4,1,5,7,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,2,5,4,6]=>[2,4,1,6,5,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,2,5,6,4]=>[2,4,1,7,5,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,2,6,4,5]=>[2,4,1,6,7,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,2,6,5,4]=>[2,4,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,4,2,5,6]=>[2,5,1,4,6,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,4,2,6,5]=>[2,5,1,4,7,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,4,5,2,6]=>[2,6,1,4,5,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,4,5,6,2]=>[2,7,1,4,5,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,4,6,2,5]=>[2,6,1,4,7,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,4,6,5,2]=>[2,7,1,4,6,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,5,2,4,6]=>[2,5,1,6,4,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,5,2,6,4]=>[2,5,1,7,4,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,5,4,2,6]=>[2,6,1,5,4,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,5,4,6,2]=>[2,7,1,5,4,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,5,6,2,4]=>[2,6,1,7,4,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,5,6,4,2]=>[2,7,1,6,4,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,6,2,4,5]=>[2,5,1,6,7,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,6,2,5,4]=>[2,5,1,7,6,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,6,4,2,5]=>[2,6,1,5,7,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,6,4,5,2]=>[2,7,1,5,6,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,6,5,2,4]=>[2,6,1,7,5,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,6,5,4,2]=>[2,7,1,6,5,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,6,7,5]=>[3,2,1,4,7,5,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,7,5,6]=>[3,2,1,4,6,7,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,6,4,7]=>[3,2,1,6,4,5,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,6,7,4]=>[3,2,1,7,4,5,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,7,6,4]=>[3,2,1,7,4,6,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,4,5,7]=>[3,2,1,5,6,4,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,4,7,5]=>[3,2,1,5,7,4,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,5,7,4]=>[3,2,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,7,4,5]=>[3,2,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,7,5,4]=>[3,2,1,7,6,4,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,4,5,6]=>[3,2,1,5,6,7,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,4,6,5]=>[3,2,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,5,4,6]=>[3,2,1,6,5,7,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,5,6,4]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,6,4,5]=>[3,2,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,1,5,6,7]=>[4,2,1,3,5,6,7]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,4,1,5,7,6]=>[4,2,1,3,5,7,6]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,4,1,6,5,7]=>[4,2,1,3,6,5,7]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,4,1,6,7,5]=>[4,2,1,3,7,5,6]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,4,1,7,5,6]=>[4,2,1,3,6,7,5]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,4,1,7,6,5]=>[4,2,1,3,7,6,5]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,4,5,1,6,7]=>[5,2,1,3,4,6,7]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,4,5,1,7,6]=>[5,2,1,3,4,7,6]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,4,5,6,1,7]=>[6,2,1,3,4,5,7]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,4,5,6,7,1]=>[7,2,1,3,4,5,6]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,4,5,7,1,6]=>[6,2,1,3,4,7,5]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,4,5,7,6,1]=>[7,2,1,3,4,6,5]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,4,6,1,5,7]=>[5,2,1,3,6,4,7]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,4,6,1,7,5]=>[5,2,1,3,7,4,6]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,4,6,5,1,7]=>[6,2,1,3,5,4,7]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,4,6,5,7,1]=>[7,2,1,3,5,4,6]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,4,6,7,1,5]=>[6,2,1,3,7,4,5]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,4,6,7,5,1]=>[7,2,1,3,6,4,5]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,4,7,1,5,6]=>[5,2,1,3,6,7,4]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,4,7,1,6,5]=>[5,2,1,3,7,6,4]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,4,7,5,1,6]=>[6,2,1,3,5,7,4]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,4,7,5,6,1]=>[7,2,1,3,5,6,4]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,4,7,6,1,5]=>[6,2,1,3,7,5,4]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,4,7,6,5,1]=>[7,2,1,3,6,5,4]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,5,1,4,6,7]=>[4,2,1,5,3,6,7]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,5,1,4,7,6]=>[4,2,1,5,3,7,6]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,5,1,6,4,7]=>[4,2,1,6,3,5,7]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,5,1,6,7,4]=>[4,2,1,7,3,5,6]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,5,1,7,4,6]=>[4,2,1,6,3,7,5]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,5,1,7,6,4]=>[4,2,1,7,3,6,5]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,5,4,1,6,7]=>[5,2,1,4,3,6,7]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,5,4,1,7,6]=>[5,2,1,4,3,7,6]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,5,4,6,1,7]=>[6,2,1,4,3,5,7]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,5,4,6,7,1]=>[7,2,1,4,3,5,6]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,5,4,7,1,6]=>[6,2,1,4,3,7,5]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,5,4,7,6,1]=>[7,2,1,4,3,6,5]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,5,6,1,4,7]=>[5,2,1,6,3,4,7]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,5,6,1,7,4]=>[5,2,1,7,3,4,6]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,5,6,4,1,7]=>[6,2,1,5,3,4,7]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,5,6,4,7,1]=>[7,2,1,5,3,4,6]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,5,6,7,1,4]=>[6,2,1,7,3,4,5]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,5,6,7,4,1]=>[7,2,1,6,3,4,5]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,5,7,1,4,6]=>[5,2,1,6,3,7,4]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,5,7,1,6,4]=>[5,2,1,7,3,6,4]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,5,7,4,1,6]=>[6,2,1,5,3,7,4]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,5,7,4,6,1]=>[7,2,1,5,3,6,4]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,5,7,6,1,4]=>[6,2,1,7,3,5,4]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,5,7,6,4,1]=>[7,2,1,6,3,5,4]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,6,1,4,5,7]=>[4,2,1,5,6,3,7]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,6,1,4,7,5]=>[4,2,1,5,7,3,6]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,6,1,5,4,7]=>[4,2,1,6,5,3,7]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,6,1,5,7,4]=>[4,2,1,7,5,3,6]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,6,1,7,4,5]=>[4,2,1,6,7,3,5]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,6,1,7,5,4]=>[4,2,1,7,6,3,5]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,6,4,1,5,7]=>[5,2,1,4,6,3,7]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,6,4,1,7,5]=>[5,2,1,4,7,3,6]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,6,4,5,1,7]=>[6,2,1,4,5,3,7]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,6,4,5,7,1]=>[7,2,1,4,5,3,6]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,6,4,7,1,5]=>[6,2,1,4,7,3,5]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,6,4,7,5,1]=>[7,2,1,4,6,3,5]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,6,5,1,4,7]=>[5,2,1,6,4,3,7]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,6,5,1,7,4]=>[5,2,1,7,4,3,6]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,6,5,4,1,7]=>[6,2,1,5,4,3,7]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,6,5,4,7,1]=>[7,2,1,5,4,3,6]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,6,5,7,1,4]=>[6,2,1,7,4,3,5]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,6,5,7,4,1]=>[7,2,1,6,4,3,5]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,6,7,1,4,5]=>[5,2,1,6,7,3,4]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,6,7,1,5,4]=>[5,2,1,7,6,3,4]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,6,7,4,1,5]=>[6,2,1,5,7,3,4]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,6,7,4,5,1]=>[7,2,1,5,6,3,4]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,6,7,5,1,4]=>[6,2,1,7,5,3,4]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,6,7,5,4,1]=>[7,2,1,6,5,3,4]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,7,1,4,5,6]=>[4,2,1,5,6,7,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,7,1,4,6,5]=>[4,2,1,5,7,6,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,7,1,5,4,6]=>[4,2,1,6,5,7,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,7,1,5,6,4]=>[4,2,1,7,5,6,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,7,1,6,4,5]=>[4,2,1,6,7,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,7,4,1,5,6]=>[5,2,1,4,6,7,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,4,1,6,5]=>[5,2,1,4,7,6,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,4,5,1,6]=>[6,2,1,4,5,7,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,7,4,5,6,1]=>[7,2,1,4,5,6,3]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,7,4,6,1,5]=>[6,2,1,4,7,5,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,7,4,6,5,1]=>[7,2,1,4,6,5,3]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,7,5,1,4,6]=>[5,2,1,6,4,7,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,5,1,6,4]=>[5,2,1,7,4,6,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,5,4,1,6]=>[6,2,1,5,4,7,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,7,5,4,6,1]=>[7,2,1,5,4,6,3]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,7,5,6,1,4]=>[6,2,1,7,4,5,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,7,5,6,4,1]=>[7,2,1,6,4,5,3]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,7,6,1,4,5]=>[5,2,1,6,7,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,6,4,1,5]=>[6,2,1,5,7,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,7,6,4,5,1]=>[7,2,1,5,6,4,3]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,7,6,5,1,4]=>[6,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,7,6,5,4,1]=>[7,2,1,6,5,4,3]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,4,1,2,5,6,7]=>[3,4,1,2,5,6,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,5,7,6]=>[3,4,1,2,5,7,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,6,5,7]=>[3,4,1,2,6,5,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,6,7,5]=>[3,4,1,2,7,5,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,7,5,6]=>[3,4,1,2,6,7,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,7,6,5]=>[3,4,1,2,7,6,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,2,6,7]=>[3,5,1,2,4,6,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,2,7,6]=>[3,5,1,2,4,7,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,6,2,7]=>[3,6,1,2,4,5,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,6,7,2]=>[3,7,1,2,4,5,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,7,2,6]=>[3,6,1,2,4,7,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,7,6,2]=>[3,7,1,2,4,6,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,2,5,7]=>[3,5,1,2,6,4,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,2,7,5]=>[3,5,1,2,7,4,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,5,2,7]=>[3,6,1,2,5,4,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,5,7,2]=>[3,7,1,2,5,4,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,7,2,5]=>[3,6,1,2,7,4,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,7,5,2]=>[3,7,1,2,6,4,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,7,2,5,6]=>[3,5,1,2,6,7,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,7,2,6,5]=>[3,5,1,2,7,6,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,7,5,2,6]=>[3,6,1,2,5,7,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,7,5,6,2]=>[3,7,1,2,5,6,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,7,6,2,5]=>[3,6,1,2,7,5,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,7,6,5,2]=>[3,7,1,2,6,5,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,2,1,5,6,7]=>[4,3,1,2,5,6,7]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,2,1,5,7,6]=>[4,3,1,2,5,7,6]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,2,1,6,5,7]=>[4,3,1,2,6,5,7]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,2,1,6,7,5]=>[4,3,1,2,7,5,6]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,2,1,7,5,6]=>[4,3,1,2,6,7,5]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,2,1,7,6,5]=>[4,3,1,2,7,6,5]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,2,5,1,6,7]=>[5,3,1,2,4,6,7]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,4,2,5,1,7,6]=>[5,3,1,2,4,7,6]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,4,2,5,6,1,7]=>[6,3,1,2,4,5,7]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,4,2,5,6,7,1]=>[7,3,1,2,4,5,6]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,4,2,5,7,1,6]=>[6,3,1,2,4,7,5]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,4,2,5,7,6,1]=>[7,3,1,2,4,6,5]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,4,2,6,1,5,7]=>[5,3,1,2,6,4,7]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,4,2,6,1,7,5]=>[5,3,1,2,7,4,6]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,4,2,6,5,1,7]=>[6,3,1,2,5,4,7]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,4,2,6,5,7,1]=>[7,3,1,2,5,4,6]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,4,2,6,7,1,5]=>[6,3,1,2,7,4,5]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,4,2,6,7,5,1]=>[7,3,1,2,6,4,5]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,4,2,7,1,5,6]=>[5,3,1,2,6,7,4]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,4,2,7,1,6,5]=>[5,3,1,2,7,6,4]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,4,2,7,5,1,6]=>[6,3,1,2,5,7,4]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,4,2,7,5,6,1]=>[7,3,1,2,5,6,4]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,4,2,7,6,1,5]=>[6,3,1,2,7,5,4]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,4,2,7,6,5,1]=>[7,3,1,2,6,5,4]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,4,5,1,2,6,7]=>[4,5,1,2,3,6,7]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,5,1,2,7,6]=>[4,5,1,2,3,7,6]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,5,1,6,2,7]=>[4,6,1,2,3,5,7]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,5,1,6,7,2]=>[4,7,1,2,3,5,6]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,5,1,7,2,6]=>[4,6,1,2,3,7,5]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,5,1,7,6,2]=>[4,7,1,2,3,6,5]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,5,2,1,6,7]=>[5,4,1,2,3,6,7]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,4,5,2,1,7,6]=>[5,4,1,2,3,7,6]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,4,5,2,6,1,7]=>[6,4,1,2,3,5,7]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,4,5,2,6,7,1]=>[7,4,1,2,3,5,6]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,4,5,2,7,1,6]=>[6,4,1,2,3,7,5]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,4,5,2,7,6,1]=>[7,4,1,2,3,6,5]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,4,5,6,1,2,7]=>[5,6,1,2,3,4,7]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,4,5,6,1,7,2]=>[5,7,1,2,3,4,6]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,4,5,6,2,1,7]=>[6,5,1,2,3,4,7]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,4,5,6,2,7,1]=>[7,5,1,2,3,4,6]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,4,5,6,7,1,2]=>[6,7,1,2,3,4,5]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,4,5,7,1,2,6]=>[5,6,1,2,3,7,4]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,4,5,7,1,6,2]=>[5,7,1,2,3,6,4]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,4,5,7,2,1,6]=>[6,5,1,2,3,7,4]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,4,5,7,2,6,1]=>[7,5,1,2,3,6,4]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,4,5,7,6,1,2]=>[6,7,1,2,3,5,4]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,4,5,7,6,2,1]=>[7,6,1,2,3,5,4]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,4,6,1,2,5,7]=>[4,5,1,2,6,3,7]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,6,1,2,7,5]=>[4,5,1,2,7,3,6]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,6,1,5,2,7]=>[4,6,1,2,5,3,7]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,6,1,5,7,2]=>[4,7,1,2,5,3,6]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,6,1,7,2,5]=>[4,6,1,2,7,3,5]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,6,1,7,5,2]=>[4,7,1,2,6,3,5]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,6,2,1,5,7]=>[5,4,1,2,6,3,7]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,4,6,2,1,7,5]=>[5,4,1,2,7,3,6]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,4,6,2,5,1,7]=>[6,4,1,2,5,3,7]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,4,6,2,5,7,1]=>[7,4,1,2,5,3,6]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,4,6,2,7,1,5]=>[6,4,1,2,7,3,5]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,4,6,2,7,5,1]=>[7,4,1,2,6,3,5]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,4,6,5,1,2,7]=>[5,6,1,2,4,3,7]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,4,6,5,1,7,2]=>[5,7,1,2,4,3,6]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,4,6,5,2,1,7]=>[6,5,1,2,4,3,7]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,4,6,5,2,7,1]=>[7,5,1,2,4,3,6]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,4,6,5,7,1,2]=>[6,7,1,2,4,3,5]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,4,6,5,7,2,1]=>[7,6,1,2,4,3,5]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,4,6,7,1,2,5]=>[5,6,1,2,7,3,4]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,4,6,7,1,5,2]=>[5,7,1,2,6,3,4]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,4,6,7,2,1,5]=>[6,5,1,2,7,3,4]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,4,6,7,2,5,1]=>[7,5,1,2,6,3,4]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,4,6,7,5,1,2]=>[6,7,1,2,5,3,4]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,4,6,7,5,2,1]=>[7,6,1,2,5,3,4]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,4,7,1,2,5,6]=>[4,5,1,2,6,7,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,7,1,2,6,5]=>[4,5,1,2,7,6,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,7,1,5,2,6]=>[4,6,1,2,5,7,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,7,1,5,6,2]=>[4,7,1,2,5,6,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,7,1,6,2,5]=>[4,6,1,2,7,5,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,7,1,6,5,2]=>[4,7,1,2,6,5,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,7,2,1,5,6]=>[5,4,1,2,6,7,3]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,4,7,2,1,6,5]=>[5,4,1,2,7,6,3]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,4,7,2,5,1,6]=>[6,4,1,2,5,7,3]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,4,7,2,5,6,1]=>[7,4,1,2,5,6,3]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,4,7,2,6,1,5]=>[6,4,1,2,7,5,3]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,4,7,2,6,5,1]=>[7,4,1,2,6,5,3]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,4,7,5,1,2,6]=>[5,6,1,2,4,7,3]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,4,7,5,1,6,2]=>[5,7,1,2,4,6,3]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,4,7,5,2,1,6]=>[6,5,1,2,4,7,3]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,4,7,5,2,6,1]=>[7,5,1,2,4,6,3]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,4,7,5,6,1,2]=>[6,7,1,2,4,5,3]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,4,7,5,6,2,1]=>[7,6,1,2,4,5,3]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,4,7,6,1,2,5]=>[5,6,1,2,7,4,3]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,4,7,6,1,5,2]=>[5,7,1,2,6,4,3]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,4,7,6,2,1,5]=>[6,5,1,2,7,4,3]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,4,7,6,2,5,1]=>[7,5,1,2,6,4,3]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,4,7,6,5,1,2]=>[6,7,1,2,5,4,3]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,4,7,6,5,2,1]=>[7,6,1,2,5,4,3]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,5,1,2,4,6,7]=>[3,4,1,5,2,6,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,4,7,6]=>[3,4,1,5,2,7,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,6,4,7]=>[3,4,1,6,2,5,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,6,7,4]=>[3,4,1,7,2,5,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,7,4,6]=>[3,4,1,6,2,7,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,7,6,4]=>[3,4,1,7,2,6,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,4,2,6,7]=>[3,5,1,4,2,6,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,4,2,7,6]=>[3,5,1,4,2,7,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,4,6,2,7]=>[3,6,1,4,2,5,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,4,6,7,2]=>[3,7,1,4,2,5,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,4,7,2,6]=>[3,6,1,4,2,7,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,4,7,6,2]=>[3,7,1,4,2,6,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,2,4,7]=>[3,5,1,6,2,4,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,2,7,4]=>[3,5,1,7,2,4,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,4,2,7]=>[3,6,1,5,2,4,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,4,7,2]=>[3,7,1,5,2,4,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,7,2,4]=>[3,6,1,7,2,4,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,7,4,2]=>[3,7,1,6,2,4,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,2,4,6]=>[3,5,1,6,2,7,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,2,6,4]=>[3,5,1,7,2,6,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,4,2,6]=>[3,6,1,5,2,7,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,4,6,2]=>[3,7,1,5,2,6,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,6,2,4]=>[3,6,1,7,2,5,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,6,4,2]=>[3,7,1,6,2,5,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,2,1,4,6,7]=>[4,3,1,5,2,6,7]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,2,1,4,7,6]=>[4,3,1,5,2,7,6]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,2,1,6,4,7]=>[4,3,1,6,2,5,7]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,2,1,6,7,4]=>[4,3,1,7,2,5,6]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,2,1,7,4,6]=>[4,3,1,6,2,7,5]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,2,1,7,6,4]=>[4,3,1,7,2,6,5]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,2,4,1,6,7]=>[5,3,1,4,2,6,7]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,2,4,1,7,6]=>[5,3,1,4,2,7,6]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,2,4,6,1,7]=>[6,3,1,4,2,5,7]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,5,2,4,6,7,1]=>[7,3,1,4,2,5,6]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,5,2,4,7,1,6]=>[6,3,1,4,2,7,5]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,5,2,4,7,6,1]=>[7,3,1,4,2,6,5]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,5,2,6,1,4,7]=>[5,3,1,6,2,4,7]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,2,6,1,7,4]=>[5,3,1,7,2,4,6]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,2,6,4,1,7]=>[6,3,1,5,2,4,7]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,5,2,6,4,7,1]=>[7,3,1,5,2,4,6]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,5,2,6,7,1,4]=>[6,3,1,7,2,4,5]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,5,2,6,7,4,1]=>[7,3,1,6,2,4,5]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,5,2,7,1,4,6]=>[5,3,1,6,2,7,4]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,2,7,1,6,4]=>[5,3,1,7,2,6,4]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,2,7,4,1,6]=>[6,3,1,5,2,7,4]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,5,2,7,4,6,1]=>[7,3,1,5,2,6,4]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,5,2,7,6,1,4]=>[6,3,1,7,2,5,4]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,5,2,7,6,4,1]=>[7,3,1,6,2,5,4]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,5,4,1,2,6,7]=>[4,5,1,3,2,6,7]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,4,1,2,7,6]=>[4,5,1,3,2,7,6]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,4,1,6,2,7]=>[4,6,1,3,2,5,7]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,4,1,6,7,2]=>[4,7,1,3,2,5,6]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,4,1,7,2,6]=>[4,6,1,3,2,7,5]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,4,1,7,6,2]=>[4,7,1,3,2,6,5]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,4,2,1,6,7]=>[5,4,1,3,2,6,7]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,5,4,2,1,7,6]=>[5,4,1,3,2,7,6]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,5,4,2,6,1,7]=>[6,4,1,3,2,5,7]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,5,4,2,6,7,1]=>[7,4,1,3,2,5,6]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,5,4,2,7,1,6]=>[6,4,1,3,2,7,5]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,5,4,2,7,6,1]=>[7,4,1,3,2,6,5]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,5,4,6,1,2,7]=>[5,6,1,3,2,4,7]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,5,4,6,1,7,2]=>[5,7,1,3,2,4,6]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,5,4,6,2,1,7]=>[6,5,1,3,2,4,7]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,5,4,6,2,7,1]=>[7,5,1,3,2,4,6]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,5,4,6,7,1,2]=>[6,7,1,3,2,4,5]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,5,4,6,7,2,1]=>[7,6,1,3,2,4,5]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,5,4,7,1,2,6]=>[5,6,1,3,2,7,4]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,5,4,7,1,6,2]=>[5,7,1,3,2,6,4]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,5,4,7,2,1,6]=>[6,5,1,3,2,7,4]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,5,4,7,2,6,1]=>[7,5,1,3,2,6,4]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,5,4,7,6,1,2]=>[6,7,1,3,2,5,4]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,5,4,7,6,2,1]=>[7,6,1,3,2,5,4]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,5,6,1,2,4,7]=>[4,5,1,6,2,3,7]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,6,1,2,7,4]=>[4,5,1,7,2,3,6]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,6,1,4,2,7]=>[4,6,1,5,2,3,7]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,6,1,4,7,2]=>[4,7,1,5,2,3,6]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,6,1,7,2,4]=>[4,6,1,7,2,3,5]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,6,1,7,4,2]=>[4,7,1,6,2,3,5]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,6,2,1,4,7]=>[5,4,1,6,2,3,7]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,5,6,2,1,7,4]=>[5,4,1,7,2,3,6]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,5,6,2,4,1,7]=>[6,4,1,5,2,3,7]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,5,6,2,4,7,1]=>[7,4,1,5,2,3,6]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,5,6,2,7,1,4]=>[6,4,1,7,2,3,5]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,5,6,2,7,4,1]=>[7,4,1,6,2,3,5]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,5,6,4,1,2,7]=>[5,6,1,4,2,3,7]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,5,6,4,1,7,2]=>[5,7,1,4,2,3,6]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,5,6,4,2,1,7]=>[6,5,1,4,2,3,7]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,5,6,4,2,7,1]=>[7,5,1,4,2,3,6]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,5,6,4,7,1,2]=>[6,7,1,4,2,3,5]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,5,6,4,7,2,1]=>[7,6,1,4,2,3,5]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,5,6,7,1,2,4]=>[5,6,1,7,2,3,4]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,5,6,7,1,4,2]=>[5,7,1,6,2,3,4]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,5,6,7,2,1,4]=>[6,5,1,7,2,3,4]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,5,6,7,2,4,1]=>[7,5,1,6,2,3,4]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,5,6,7,4,1,2]=>[6,7,1,5,2,3,4]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,5,6,7,4,2,1]=>[7,6,1,5,2,3,4]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,5,7,1,2,4,6]=>[4,5,1,6,2,7,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,7,1,2,6,4]=>[4,5,1,7,2,6,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,7,1,4,2,6]=>[4,6,1,5,2,7,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,7,1,4,6,2]=>[4,7,1,5,2,6,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,7,1,6,2,4]=>[4,6,1,7,2,5,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,7,1,6,4,2]=>[4,7,1,6,2,5,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,7,2,1,4,6]=>[5,4,1,6,2,7,3]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,5,7,2,1,6,4]=>[5,4,1,7,2,6,3]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,5,7,2,4,1,6]=>[6,4,1,5,2,7,3]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,5,7,2,4,6,1]=>[7,4,1,5,2,6,3]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,5,7,2,6,1,4]=>[6,4,1,7,2,5,3]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,5,7,2,6,4,1]=>[7,4,1,6,2,5,3]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,5,7,4,1,2,6]=>[5,6,1,4,2,7,3]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,5,7,4,1,6,2]=>[5,7,1,4,2,6,3]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,5,7,4,2,1,6]=>[6,5,1,4,2,7,3]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,5,7,4,2,6,1]=>[7,5,1,4,2,6,3]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,5,7,4,6,1,2]=>[6,7,1,4,2,5,3]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,5,7,4,6,2,1]=>[7,6,1,4,2,5,3]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,5,7,6,1,2,4]=>[5,6,1,7,2,4,3]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,5,7,6,1,4,2]=>[5,7,1,6,2,4,3]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,5,7,6,2,1,4]=>[6,5,1,7,2,4,3]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,5,7,6,2,4,1]=>[7,5,1,6,2,4,3]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,5,7,6,4,1,2]=>[6,7,1,5,2,4,3]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,5,7,6,4,2,1]=>[7,6,1,5,2,4,3]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,6,1,2,4,5,7]=>[3,4,1,5,6,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,2,4,7,5]=>[3,4,1,5,7,2,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,2,5,4,7]=>[3,4,1,6,5,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,2,5,7,4]=>[3,4,1,7,5,2,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,2,7,4,5]=>[3,4,1,6,7,2,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,2,7,5,4]=>[3,4,1,7,6,2,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,4,2,5,7]=>[3,5,1,4,6,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,4,2,7,5]=>[3,5,1,4,7,2,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,4,5,2,7]=>[3,6,1,4,5,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,4,5,7,2]=>[3,7,1,4,5,2,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,4,7,2,5]=>[3,6,1,4,7,2,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,4,7,5,2]=>[3,7,1,4,6,2,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,2,4,7]=>[3,5,1,6,4,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,2,7,4]=>[3,5,1,7,4,2,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,4,2,7]=>[3,6,1,5,4,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,4,7,2]=>[3,7,1,5,4,2,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,7,2,4]=>[3,6,1,7,4,2,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,7,4,2]=>[3,7,1,6,4,2,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,7,2,4,5]=>[3,5,1,6,7,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,7,2,5,4]=>[3,5,1,7,6,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,7,4,2,5]=>[3,6,1,5,7,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,7,4,5,2]=>[3,7,1,5,6,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,7,5,2,4]=>[3,6,1,7,5,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,7,5,4,2]=>[3,7,1,6,5,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,2,1,4,5,7]=>[4,3,1,5,6,2,7]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,2,1,4,7,5]=>[4,3,1,5,7,2,6]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,2,1,5,4,7]=>[4,3,1,6,5,2,7]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,2,1,5,7,4]=>[4,3,1,7,5,2,6]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,2,1,7,4,5]=>[4,3,1,6,7,2,5]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,2,1,7,5,4]=>[4,3,1,7,6,2,5]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,2,4,1,5,7]=>[5,3,1,4,6,2,7]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,2,4,1,7,5]=>[5,3,1,4,7,2,6]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,2,4,5,1,7]=>[6,3,1,4,5,2,7]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,2,4,5,7,1]=>[7,3,1,4,5,2,6]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,6,2,4,7,1,5]=>[6,3,1,4,7,2,5]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,2,4,7,5,1]=>[7,3,1,4,6,2,5]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,6,2,5,1,4,7]=>[5,3,1,6,4,2,7]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,2,5,1,7,4]=>[5,3,1,7,4,2,6]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,2,5,4,1,7]=>[6,3,1,5,4,2,7]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,2,5,4,7,1]=>[7,3,1,5,4,2,6]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,6,2,5,7,1,4]=>[6,3,1,7,4,2,5]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,2,5,7,4,1]=>[7,3,1,6,4,2,5]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,6,2,7,1,4,5]=>[5,3,1,6,7,2,4]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,2,7,1,5,4]=>[5,3,1,7,6,2,4]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,2,7,4,1,5]=>[6,3,1,5,7,2,4]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,2,7,4,5,1]=>[7,3,1,5,6,2,4]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,6,2,7,5,1,4]=>[6,3,1,7,5,2,4]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,2,7,5,4,1]=>[7,3,1,6,5,2,4]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,6,4,1,2,5,7]=>[4,5,1,3,6,2,7]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,4,1,2,7,5]=>[4,5,1,3,7,2,6]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,4,1,5,2,7]=>[4,6,1,3,5,2,7]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,4,1,5,7,2]=>[4,7,1,3,5,2,6]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,4,1,7,2,5]=>[4,6,1,3,7,2,5]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,4,1,7,5,2]=>[4,7,1,3,6,2,5]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,4,2,1,5,7]=>[5,4,1,3,6,2,7]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,6,4,2,1,7,5]=>[5,4,1,3,7,2,6]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,6,4,2,5,1,7]=>[6,4,1,3,5,2,7]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,6,4,2,5,7,1]=>[7,4,1,3,5,2,6]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,6,4,2,7,1,5]=>[6,4,1,3,7,2,5]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,6,4,2,7,5,1]=>[7,4,1,3,6,2,5]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,6,4,5,1,2,7]=>[5,6,1,3,4,2,7]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,6,4,5,1,7,2]=>[5,7,1,3,4,2,6]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,6,4,5,2,1,7]=>[6,5,1,3,4,2,7]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,6,4,5,2,7,1]=>[7,5,1,3,4,2,6]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,6,4,5,7,1,2]=>[6,7,1,3,4,2,5]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,6,4,5,7,2,1]=>[7,6,1,3,4,2,5]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,6,4,7,1,2,5]=>[5,6,1,3,7,2,4]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,6,4,7,1,5,2]=>[5,7,1,3,6,2,4]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,6,4,7,2,1,5]=>[6,5,1,3,7,2,4]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,6,4,7,2,5,1]=>[7,5,1,3,6,2,4]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,6,4,7,5,1,2]=>[6,7,1,3,5,2,4]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,6,4,7,5,2,1]=>[7,6,1,3,5,2,4]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,6,5,1,2,4,7]=>[4,5,1,6,3,2,7]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,5,1,2,7,4]=>[4,5,1,7,3,2,6]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,5,1,4,2,7]=>[4,6,1,5,3,2,7]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,5,1,4,7,2]=>[4,7,1,5,3,2,6]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,5,1,7,2,4]=>[4,6,1,7,3,2,5]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,5,1,7,4,2]=>[4,7,1,6,3,2,5]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,5,2,1,4,7]=>[5,4,1,6,3,2,7]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,6,5,2,1,7,4]=>[5,4,1,7,3,2,6]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,6,5,2,4,1,7]=>[6,4,1,5,3,2,7]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,6,5,2,4,7,1]=>[7,4,1,5,3,2,6]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,6,5,2,7,1,4]=>[6,4,1,7,3,2,5]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,6,5,2,7,4,1]=>[7,4,1,6,3,2,5]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,6,5,4,1,2,7]=>[5,6,1,4,3,2,7]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,6,5,4,1,7,2]=>[5,7,1,4,3,2,6]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,6,5,4,2,1,7]=>[6,5,1,4,3,2,7]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,6,5,4,2,7,1]=>[7,5,1,4,3,2,6]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,6,5,4,7,1,2]=>[6,7,1,4,3,2,5]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,6,5,4,7,2,1]=>[7,6,1,4,3,2,5]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,6,5,7,1,2,4]=>[5,6,1,7,3,2,4]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,6,5,7,1,4,2]=>[5,7,1,6,3,2,4]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,6,5,7,2,1,4]=>[6,5,1,7,3,2,4]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,6,5,7,2,4,1]=>[7,5,1,6,3,2,4]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,6,5,7,4,1,2]=>[6,7,1,5,3,2,4]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,6,5,7,4,2,1]=>[7,6,1,5,3,2,4]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,6,7,1,2,4,5]=>[4,5,1,6,7,2,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,7,1,2,5,4]=>[4,5,1,7,6,2,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,7,1,4,2,5]=>[4,6,1,5,7,2,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,7,1,4,5,2]=>[4,7,1,5,6,2,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,7,1,5,2,4]=>[4,6,1,7,5,2,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,7,1,5,4,2]=>[4,7,1,6,5,2,3]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,7,2,1,4,5]=>[5,4,1,6,7,2,3]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,6,7,2,1,5,4]=>[5,4,1,7,6,2,3]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,6,7,2,4,1,5]=>[6,4,1,5,7,2,3]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,6,7,2,4,5,1]=>[7,4,1,5,6,2,3]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,6,7,2,5,1,4]=>[6,4,1,7,5,2,3]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,6,7,2,5,4,1]=>[7,4,1,6,5,2,3]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,6,7,4,1,2,5]=>[5,6,1,4,7,2,3]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,6,7,4,1,5,2]=>[5,7,1,4,6,2,3]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,6,7,4,2,1,5]=>[6,5,1,4,7,2,3]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,6,7,4,2,5,1]=>[7,5,1,4,6,2,3]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,6,7,4,5,1,2]=>[6,7,1,4,5,2,3]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,6,7,4,5,2,1]=>[7,6,1,4,5,2,3]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,6,7,5,1,2,4]=>[5,6,1,7,4,2,3]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,6,7,5,1,4,2]=>[5,7,1,6,4,2,3]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,6,7,5,2,1,4]=>[6,5,1,7,4,2,3]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,6,7,5,2,4,1]=>[7,5,1,6,4,2,3]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,6,7,5,4,1,2]=>[6,7,1,5,4,2,3]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,6,7,5,4,2,1]=>[7,6,1,5,4,2,3]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,7,1,2,4,5,6]=>[3,4,1,5,6,7,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,2,4,6,5]=>[3,4,1,5,7,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,2,5,4,6]=>[3,4,1,6,5,7,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,2,5,6,4]=>[3,4,1,7,5,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,2,6,4,5]=>[3,4,1,6,7,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,2,6,5,4]=>[3,4,1,7,6,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,4,2,5,6]=>[3,5,1,4,6,7,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,4,2,6,5]=>[3,5,1,4,7,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,4,5,2,6]=>[3,6,1,4,5,7,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,4,5,6,2]=>[3,7,1,4,5,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,4,6,2,5]=>[3,6,1,4,7,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,4,6,5,2]=>[3,7,1,4,6,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,2,4,6]=>[3,5,1,6,4,7,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,2,6,4]=>[3,5,1,7,4,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,4,2,6]=>[3,6,1,5,4,7,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,4,6,2]=>[3,7,1,5,4,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,6,2,4]=>[3,6,1,7,4,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,6,4,2]=>[3,7,1,6,4,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,2,4,5]=>[3,5,1,6,7,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,2,5,4]=>[3,5,1,7,6,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,4,2,5]=>[3,6,1,5,7,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,4,5,2]=>[3,7,1,5,6,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,5,2,4]=>[3,6,1,7,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,2,1,4,5,6]=>[4,3,1,5,6,7,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,2,1,4,6,5]=>[4,3,1,5,7,6,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,2,1,5,4,6]=>[4,3,1,6,5,7,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,2,1,5,6,4]=>[4,3,1,7,5,6,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,2,1,6,4,5]=>[4,3,1,6,7,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,2,4,1,5,6]=>[5,3,1,4,6,7,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,2,4,1,6,5]=>[5,3,1,4,7,6,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,2,4,5,1,6]=>[6,3,1,4,5,7,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,2,4,5,6,1]=>[7,3,1,4,5,6,2]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,7,2,4,6,1,5]=>[6,3,1,4,7,5,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,2,4,6,5,1]=>[7,3,1,4,6,5,2]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,7,2,5,1,4,6]=>[5,3,1,6,4,7,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,2,5,1,6,4]=>[5,3,1,7,4,6,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,2,5,4,1,6]=>[6,3,1,5,4,7,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,2,5,4,6,1]=>[7,3,1,5,4,6,2]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,7,2,5,6,1,4]=>[6,3,1,7,4,5,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,2,5,6,4,1]=>[7,3,1,6,4,5,2]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,7,2,6,1,4,5]=>[5,3,1,6,7,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,2,6,4,1,5]=>[6,3,1,5,7,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,2,6,4,5,1]=>[7,3,1,5,6,4,2]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,7,2,6,5,1,4]=>[6,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,2,6,5,4,1]=>[7,3,1,6,5,4,2]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,7,4,1,2,5,6]=>[4,5,1,3,6,7,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,4,1,2,6,5]=>[4,5,1,3,7,6,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,4,1,5,2,6]=>[4,6,1,3,5,7,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,4,1,5,6,2]=>[4,7,1,3,5,6,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,4,1,6,2,5]=>[4,6,1,3,7,5,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,4,1,6,5,2]=>[4,7,1,3,6,5,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,4,2,1,5,6]=>[5,4,1,3,6,7,2]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,4,2,1,6,5]=>[5,4,1,3,7,6,2]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,4,2,5,1,6]=>[6,4,1,3,5,7,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,7,4,2,5,6,1]=>[7,4,1,3,5,6,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,7,4,2,6,1,5]=>[6,4,1,3,7,5,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,7,4,2,6,5,1]=>[7,4,1,3,6,5,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,7,4,5,1,2,6]=>[5,6,1,3,4,7,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,7,4,5,1,6,2]=>[5,7,1,3,4,6,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,7,4,5,2,1,6]=>[6,5,1,3,4,7,2]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,7,4,5,2,6,1]=>[7,5,1,3,4,6,2]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,7,4,5,6,1,2]=>[6,7,1,3,4,5,2]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,7,4,5,6,2,1]=>[7,6,1,3,4,5,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,7,4,6,1,2,5]=>[5,6,1,3,7,4,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,7,4,6,1,5,2]=>[5,7,1,3,6,4,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,7,4,6,2,1,5]=>[6,5,1,3,7,4,2]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,7,4,6,2,5,1]=>[7,5,1,3,6,4,2]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,7,4,6,5,1,2]=>[6,7,1,3,5,4,2]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,7,4,6,5,2,1]=>[7,6,1,3,5,4,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,7,5,1,2,4,6]=>[4,5,1,6,3,7,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,5,1,2,6,4]=>[4,5,1,7,3,6,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,5,1,4,2,6]=>[4,6,1,5,3,7,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,5,1,4,6,2]=>[4,7,1,5,3,6,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,5,1,6,2,4]=>[4,6,1,7,3,5,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,5,1,6,4,2]=>[4,7,1,6,3,5,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,5,2,1,4,6]=>[5,4,1,6,3,7,2]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,5,2,1,6,4]=>[5,4,1,7,3,6,2]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,5,2,4,1,6]=>[6,4,1,5,3,7,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,7,5,2,4,6,1]=>[7,4,1,5,3,6,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,7,5,2,6,1,4]=>[6,4,1,7,3,5,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,7,5,2,6,4,1]=>[7,4,1,6,3,5,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,7,5,4,1,2,6]=>[5,6,1,4,3,7,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,7,5,4,1,6,2]=>[5,7,1,4,3,6,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,7,5,4,2,1,6]=>[6,5,1,4,3,7,2]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,7,5,4,2,6,1]=>[7,5,1,4,3,6,2]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,7,5,4,6,1,2]=>[6,7,1,4,3,5,2]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,7,5,4,6,2,1]=>[7,6,1,4,3,5,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,7,5,6,1,2,4]=>[5,6,1,7,3,4,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,7,5,6,1,4,2]=>[5,7,1,6,3,4,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,7,5,6,2,1,4]=>[6,5,1,7,3,4,2]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,7,5,6,2,4,1]=>[7,5,1,6,3,4,2]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,7,5,6,4,1,2]=>[6,7,1,5,3,4,2]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,7,5,6,4,2,1]=>[7,6,1,5,3,4,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,7,6,1,2,4,5]=>[4,5,1,6,7,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,6,1,2,5,4]=>[4,5,1,7,6,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,6,1,4,2,5]=>[4,6,1,5,7,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,6,1,4,5,2]=>[4,7,1,5,6,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,6,1,5,2,4]=>[4,6,1,7,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,6,1,5,4,2]=>[4,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,6,2,1,4,5]=>[5,4,1,6,7,3,2]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,6,2,1,5,4]=>[5,4,1,7,6,3,2]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,6,2,4,1,5]=>[6,4,1,5,7,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,7,6,2,4,5,1]=>[7,4,1,5,6,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,7,6,2,5,1,4]=>[6,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,7,6,2,5,4,1]=>[7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,7,6,4,1,2,5]=>[5,6,1,4,7,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,7,6,4,1,5,2]=>[5,7,1,4,6,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,7,6,4,2,1,5]=>[6,5,1,4,7,3,2]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,7,6,4,2,5,1]=>[7,5,1,4,6,3,2]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,7,6,4,5,1,2]=>[6,7,1,4,5,3,2]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,7,6,4,5,2,1]=>[7,6,1,4,5,3,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,7,6,5,1,2,4]=>[5,6,1,7,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,7,6,5,1,4,2]=>[5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,7,6,5,2,1,4]=>[6,5,1,7,4,3,2]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,7,6,5,2,4,1]=>[7,5,1,6,4,3,2]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,7,6,5,4,1,2]=>[6,7,1,5,4,3,2]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,7,6,5,4,2,1]=>[7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,3,5,7,6]=>[2,3,4,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,3,6,5,7]=>[2,3,4,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,3,6,7,5]=>[2,3,4,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,3,7,5,6]=>[2,3,4,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,3,7,6,5]=>[2,3,4,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,5,3,6,7]=>[2,3,5,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,5,3,7,6]=>[2,3,5,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,5,6,3,7]=>[2,3,6,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,5,6,7,3]=>[2,3,7,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,5,7,3,6]=>[2,3,6,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,5,7,6,3]=>[2,3,7,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,6,3,5,7]=>[2,3,5,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,6,3,7,5]=>[2,3,5,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,6,5,3,7]=>[2,3,6,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,6,5,7,3]=>[2,3,7,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,6,7,3,5]=>[2,3,6,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,6,7,5,3]=>[2,3,7,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,7,3,5,6]=>[2,3,5,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,7,3,6,5]=>[2,3,5,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,7,5,3,6]=>[2,3,6,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,7,5,6,3]=>[2,3,7,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,7,6,3,5]=>[2,3,6,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,7,6,5,3]=>[2,3,7,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,2,5,6,7]=>[2,4,3,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,2,5,7,6]=>[2,4,3,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,2,6,7,5]=>[2,4,3,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,2,7,5,6]=>[2,4,3,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,5,2,6,7]=>[2,5,3,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,5,2,7,6]=>[2,5,3,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,5,6,2,7]=>[2,6,3,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,5,6,7,2]=>[2,7,3,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,5,7,2,6]=>[2,6,3,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,5,7,6,2]=>[2,7,3,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,6,2,5,7]=>[2,5,3,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,6,2,7,5]=>[2,5,3,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,6,5,2,7]=>[2,6,3,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,6,5,7,2]=>[2,7,3,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,6,7,2,5]=>[2,6,3,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,6,7,5,2]=>[2,7,3,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,7,2,5,6]=>[2,5,3,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,7,5,2,6]=>[2,6,3,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,7,5,6,2]=>[2,7,3,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,7,6,5,2]=>[2,7,3,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,2,3,6,7]=>[2,4,5,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,2,3,7,6]=>[2,4,5,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,2,6,3,7]=>[2,4,6,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,2,6,7,3]=>[2,4,7,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,2,7,3,6]=>[2,4,6,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,2,7,6,3]=>[2,4,7,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,3,2,6,7]=>[2,5,4,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,3,2,7,6]=>[2,5,4,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,3,6,2,7]=>[2,6,4,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,3,6,7,2]=>[2,7,4,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,3,7,2,6]=>[2,6,4,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,3,7,6,2]=>[2,7,4,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,6,2,3,7]=>[2,5,6,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,6,2,7,3]=>[2,5,7,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,6,3,2,7]=>[2,6,5,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,6,3,7,2]=>[2,7,5,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,6,7,2,3]=>[2,6,7,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,6,7,3,2]=>[2,7,6,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,7,2,3,6]=>[2,5,6,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,7,2,6,3]=>[2,5,7,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,7,3,2,6]=>[2,6,5,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,7,3,6,2]=>[2,7,5,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,7,6,2,3]=>[2,6,7,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,7,6,3,2]=>[2,7,6,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,3,5,7]=>[2,4,5,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,3,7,5]=>[2,4,5,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,5,3,7]=>[2,4,6,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,5,7,3]=>[2,4,7,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,7,3,5]=>[2,4,6,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,7,5,3]=>[2,4,7,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,3,2,5,7]=>[2,5,4,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,3,2,7,5]=>[2,5,4,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,3,5,2,7]=>[2,6,4,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,3,5,7,2]=>[2,7,4,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,3,7,2,5]=>[2,6,4,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,3,7,5,2]=>[2,7,4,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,5,2,3,7]=>[2,5,6,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,5,2,7,3]=>[2,5,7,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,5,3,2,7]=>[2,6,5,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,5,3,7,2]=>[2,7,5,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,5,7,2,3]=>[2,6,7,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,5,7,3,2]=>[2,7,6,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,7,2,3,5]=>[2,5,6,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,7,2,5,3]=>[2,5,7,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,7,3,2,5]=>[2,6,5,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,7,3,5,2]=>[2,7,5,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,7,5,2,3]=>[2,6,7,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,7,5,3,2]=>[2,7,6,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,2,3,5,6]=>[2,4,5,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,2,3,6,5]=>[2,4,5,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,2,5,3,6]=>[2,4,6,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,2,5,6,3]=>[2,4,7,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,2,6,3,5]=>[2,4,6,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,2,6,5,3]=>[2,4,7,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,3,2,5,6]=>[2,5,4,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,3,5,2,6]=>[2,6,4,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,3,5,6,2]=>[2,7,4,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,3,6,2,5]=>[2,6,4,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,3,6,5,2]=>[2,7,4,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,5,2,3,6]=>[2,5,6,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,5,2,6,3]=>[2,5,7,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,5,3,2,6]=>[2,6,5,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,5,3,6,2]=>[2,7,5,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,5,6,2,3]=>[2,6,7,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,5,6,3,2]=>[2,7,6,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,6,2,3,5]=>[2,5,6,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,6,2,5,3]=>[2,5,7,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,6,3,2,5]=>[2,6,5,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,6,3,5,2]=>[2,7,5,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,6,5,2,3]=>[2,6,7,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,6,5,3,2]=>[2,7,6,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,3,5,6,7]=>[3,2,4,1,5,6,7]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,3,5,7,6]=>[3,2,4,1,5,7,6]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,3,6,5,7]=>[3,2,4,1,6,5,7]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,3,6,7,5]=>[3,2,4,1,7,5,6]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,3,7,5,6]=>[3,2,4,1,6,7,5]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,3,7,6,5]=>[3,2,4,1,7,6,5]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,5,3,6,7]=>[3,2,5,1,4,6,7]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,5,3,7,6]=>[3,2,5,1,4,7,6]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,5,6,3,7]=>[3,2,6,1,4,5,7]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,5,6,7,3]=>[3,2,7,1,4,5,6]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,5,7,3,6]=>[3,2,6,1,4,7,5]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,5,7,6,3]=>[3,2,7,1,4,6,5]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,6,3,5,7]=>[3,2,5,1,6,4,7]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,6,3,7,5]=>[3,2,5,1,7,4,6]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,6,5,3,7]=>[3,2,6,1,5,4,7]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,6,5,7,3]=>[3,2,7,1,5,4,6]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,6,7,3,5]=>[3,2,6,1,7,4,5]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,6,7,5,3]=>[3,2,7,1,6,4,5]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,7,3,5,6]=>[3,2,5,1,6,7,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,7,3,6,5]=>[3,2,5,1,7,6,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,7,5,3,6]=>[3,2,6,1,5,7,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,7,5,6,3]=>[3,2,7,1,5,6,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,7,6,3,5]=>[3,2,6,1,7,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,7,6,5,3]=>[3,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,3,1,5,6,7]=>[4,2,3,1,5,6,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,1,5,7,6]=>[4,2,3,1,5,7,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,1,6,5,7]=>[4,2,3,1,6,5,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,1,6,7,5]=>[4,2,3,1,7,5,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,1,7,5,6]=>[4,2,3,1,6,7,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,1,7,6,5]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,5,1,6,7]=>[5,2,3,1,4,6,7]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,3,5,1,7,6]=>[5,2,3,1,4,7,6]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,3,5,6,1,7]=>[6,2,3,1,4,5,7]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,3,5,6,7,1]=>[7,2,3,1,4,5,6]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,3,5,7,1,6]=>[6,2,3,1,4,7,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,3,5,7,6,1]=>[7,2,3,1,4,6,5]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,3,6,1,5,7]=>[5,2,3,1,6,4,7]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,3,6,1,7,5]=>[5,2,3,1,7,4,6]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,3,6,5,1,7]=>[6,2,3,1,5,4,7]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,3,6,5,7,1]=>[7,2,3,1,5,4,6]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,3,6,7,1,5]=>[6,2,3,1,7,4,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,3,6,7,5,1]=>[7,2,3,1,6,4,5]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,3,7,1,5,6]=>[5,2,3,1,6,7,4]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,3,7,1,6,5]=>[5,2,3,1,7,6,4]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,3,7,5,1,6]=>[6,2,3,1,5,7,4]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,3,7,5,6,1]=>[7,2,3,1,5,6,4]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,3,7,6,1,5]=>[6,2,3,1,7,5,4]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,3,7,6,5,1]=>[7,2,3,1,6,5,4]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,5,1,3,6,7]=>[4,2,5,1,3,6,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,1,3,7,6]=>[4,2,5,1,3,7,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,1,6,3,7]=>[4,2,6,1,3,5,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,1,6,7,3]=>[4,2,7,1,3,5,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,1,7,3,6]=>[4,2,6,1,3,7,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,1,7,6,3]=>[4,2,7,1,3,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,3,1,6,7]=>[5,2,4,1,3,6,7]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,5,3,1,7,6]=>[5,2,4,1,3,7,6]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,5,3,6,1,7]=>[6,2,4,1,3,5,7]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,5,3,6,7,1]=>[7,2,4,1,3,5,6]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,5,3,7,1,6]=>[6,2,4,1,3,7,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,5,3,7,6,1]=>[7,2,4,1,3,6,5]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,5,6,1,3,7]=>[5,2,6,1,3,4,7]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,5,6,1,7,3]=>[5,2,7,1,3,4,6]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,5,6,3,1,7]=>[6,2,5,1,3,4,7]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,5,6,3,7,1]=>[7,2,5,1,3,4,6]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,5,6,7,1,3]=>[6,2,7,1,3,4,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,5,6,7,3,1]=>[7,2,6,1,3,4,5]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,5,7,1,3,6]=>[5,2,6,1,3,7,4]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,5,7,1,6,3]=>[5,2,7,1,3,6,4]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,5,7,3,1,6]=>[6,2,5,1,3,7,4]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,5,7,3,6,1]=>[7,2,5,1,3,6,4]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,5,7,6,1,3]=>[6,2,7,1,3,5,4]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,5,7,6,3,1]=>[7,2,6,1,3,5,4]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,6,1,3,5,7]=>[4,2,5,1,6,3,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,1,3,7,5]=>[4,2,5,1,7,3,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,1,5,3,7]=>[4,2,6,1,5,3,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,1,5,7,3]=>[4,2,7,1,5,3,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,1,7,3,5]=>[4,2,6,1,7,3,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,1,7,5,3]=>[4,2,7,1,6,3,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,3,1,5,7]=>[5,2,4,1,6,3,7]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,6,3,1,7,5]=>[5,2,4,1,7,3,6]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,6,3,5,1,7]=>[6,2,4,1,5,3,7]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,6,3,5,7,1]=>[7,2,4,1,5,3,6]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,6,3,7,1,5]=>[6,2,4,1,7,3,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,6,3,7,5,1]=>[7,2,4,1,6,3,5]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,6,5,1,3,7]=>[5,2,6,1,4,3,7]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,6,5,1,7,3]=>[5,2,7,1,4,3,6]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,6,5,3,1,7]=>[6,2,5,1,4,3,7]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,6,5,3,7,1]=>[7,2,5,1,4,3,6]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,6,5,7,1,3]=>[6,2,7,1,4,3,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,6,5,7,3,1]=>[7,2,6,1,4,3,5]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,6,7,1,3,5]=>[5,2,6,1,7,3,4]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,6,7,1,5,3]=>[5,2,7,1,6,3,4]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,6,7,3,1,5]=>[6,2,5,1,7,3,4]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,6,7,3,5,1]=>[7,2,5,1,6,3,4]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,6,7,5,1,3]=>[6,2,7,1,5,3,4]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,6,7,5,3,1]=>[7,2,6,1,5,3,4]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,7,1,3,5,6]=>[4,2,5,1,6,7,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,1,3,6,5]=>[4,2,5,1,7,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,1,5,3,6]=>[4,2,6,1,5,7,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,1,5,6,3]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,1,6,3,5]=>[4,2,6,1,7,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,3,1,5,6]=>[5,2,4,1,6,7,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,7,3,1,6,5]=>[5,2,4,1,7,6,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,7,3,5,1,6]=>[6,2,4,1,5,7,3]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,7,3,5,6,1]=>[7,2,4,1,5,6,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,7,3,6,1,5]=>[6,2,4,1,7,5,3]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,7,3,6,5,1]=>[7,2,4,1,6,5,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,7,5,1,3,6]=>[5,2,6,1,4,7,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,7,5,1,6,3]=>[5,2,7,1,4,6,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,7,5,3,1,6]=>[6,2,5,1,4,7,3]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,7,5,3,6,1]=>[7,2,5,1,4,6,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,7,5,6,1,3]=>[6,2,7,1,4,5,3]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,7,5,6,3,1]=>[7,2,6,1,4,5,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,7,6,1,3,5]=>[5,2,6,1,7,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,7,6,1,5,3]=>[5,2,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,7,6,3,1,5]=>[6,2,5,1,7,4,3]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,7,6,3,5,1]=>[7,2,5,1,6,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,7,6,5,1,3]=>[6,2,7,1,5,4,3]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,7,6,5,3,1]=>[7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,3,1,2,5,6,7]=>[3,4,2,1,5,6,7]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,2,5,7,6]=>[3,4,2,1,5,7,6]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,2,6,5,7]=>[3,4,2,1,6,5,7]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,2,6,7,5]=>[3,4,2,1,7,5,6]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,2,7,5,6]=>[3,4,2,1,6,7,5]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,2,7,6,5]=>[3,4,2,1,7,6,5]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,5,2,6,7]=>[3,5,2,1,4,6,7]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,5,2,7,6]=>[3,5,2,1,4,7,6]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,5,6,2,7]=>[3,6,2,1,4,5,7]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,5,6,7,2]=>[3,7,2,1,4,5,6]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,5,7,2,6]=>[3,6,2,1,4,7,5]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,5,7,6,2]=>[3,7,2,1,4,6,5]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,6,2,5,7]=>[3,5,2,1,6,4,7]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,6,2,7,5]=>[3,5,2,1,7,4,6]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,6,5,2,7]=>[3,6,2,1,5,4,7]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,6,5,7,2]=>[3,7,2,1,5,4,6]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,6,7,2,5]=>[3,6,2,1,7,4,5]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,6,7,5,2]=>[3,7,2,1,6,4,5]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,7,2,5,6]=>[3,5,2,1,6,7,4]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,7,2,6,5]=>[3,5,2,1,7,6,4]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,7,5,2,6]=>[3,6,2,1,5,7,4]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,7,5,6,2]=>[3,7,2,1,5,6,4]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,7,6,2,5]=>[3,6,2,1,7,5,4]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,7,6,5,2]=>[3,7,2,1,6,5,4]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,6,7,5]=>[4,3,2,1,7,5,6]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,7,5,6]=>[4,3,2,1,6,7,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,5,1,6,7]=>[5,3,2,1,4,6,7]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,5,1,7,6]=>[5,3,2,1,4,7,6]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,5,6,1,7]=>[6,3,2,1,4,5,7]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,2,5,6,7,1]=>[7,3,2,1,4,5,6]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,2,5,7,1,6]=>[6,3,2,1,4,7,5]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,2,5,7,6,1]=>[7,3,2,1,4,6,5]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,2,6,1,5,7]=>[5,3,2,1,6,4,7]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,6,1,7,5]=>[5,3,2,1,7,4,6]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,6,5,1,7]=>[6,3,2,1,5,4,7]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,2,6,5,7,1]=>[7,3,2,1,5,4,6]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,2,6,7,1,5]=>[6,3,2,1,7,4,5]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,2,6,7,5,1]=>[7,3,2,1,6,4,5]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,2,7,1,5,6]=>[5,3,2,1,6,7,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,7,5,1,6]=>[6,3,2,1,5,7,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,2,7,5,6,1]=>[7,3,2,1,5,6,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,2,7,6,1,5]=>[6,3,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,2,7,6,5,1]=>[7,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,5,1,2,6,7]=>[4,5,2,1,3,6,7]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,5,1,2,7,6]=>[4,5,2,1,3,7,6]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,5,1,6,2,7]=>[4,6,2,1,3,5,7]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,5,1,6,7,2]=>[4,7,2,1,3,5,6]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,5,1,7,2,6]=>[4,6,2,1,3,7,5]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,5,1,7,6,2]=>[4,7,2,1,3,6,5]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,5,2,1,6,7]=>[5,4,2,1,3,6,7]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,5,2,1,7,6]=>[5,4,2,1,3,7,6]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,5,2,6,1,7]=>[6,4,2,1,3,5,7]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,5,2,6,7,1]=>[7,4,2,1,3,5,6]=>[7,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,3,5,2,7,1,6]=>[6,4,2,1,3,7,5]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,5,2,7,6,1]=>[7,4,2,1,3,6,5]=>[7,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,3,5,6,1,2,7]=>[5,6,2,1,3,4,7]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,5,6,1,7,2]=>[5,7,2,1,3,4,6]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,5,6,2,1,7]=>[6,5,2,1,3,4,7]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,3,5,6,2,7,1]=>[7,5,2,1,3,4,6]=>[7,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[4,3,5,6,7,1,2]=>[6,7,2,1,3,4,5]=>[6,7,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,3,5,6,7,2,1]=>[7,6,2,1,3,4,5]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[4,3,5,7,1,2,6]=>[5,6,2,1,3,7,4]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,5,7,1,6,2]=>[5,7,2,1,3,6,4]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,5,7,2,1,6]=>[6,5,2,1,3,7,4]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,3,5,7,2,6,1]=>[7,5,2,1,3,6,4]=>[7,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[4,3,5,7,6,1,2]=>[6,7,2,1,3,5,4]=>[6,7,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,3,5,7,6,2,1]=>[7,6,2,1,3,5,4]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[4,3,6,1,2,5,7]=>[4,5,2,1,6,3,7]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,6,1,2,7,5]=>[4,5,2,1,7,3,6]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,6,1,5,2,7]=>[4,6,2,1,5,3,7]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,6,1,5,7,2]=>[4,7,2,1,5,3,6]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,6,1,7,2,5]=>[4,6,2,1,7,3,5]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,6,1,7,5,2]=>[4,7,2,1,6,3,5]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,6,2,1,5,7]=>[5,4,2,1,6,3,7]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,6,2,1,7,5]=>[5,4,2,1,7,3,6]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,6,2,5,1,7]=>[6,4,2,1,5,3,7]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,6,2,5,7,1]=>[7,4,2,1,5,3,6]=>[7,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,3,6,2,7,1,5]=>[6,4,2,1,7,3,5]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,6,2,7,5,1]=>[7,4,2,1,6,3,5]=>[7,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,3,6,5,1,2,7]=>[5,6,2,1,4,3,7]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,6,5,1,7,2]=>[5,7,2,1,4,3,6]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,6,5,2,1,7]=>[6,5,2,1,4,3,7]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,3,6,5,2,7,1]=>[7,5,2,1,4,3,6]=>[7,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[4,3,6,5,7,1,2]=>[6,7,2,1,4,3,5]=>[6,7,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,3,6,5,7,2,1]=>[7,6,2,1,4,3,5]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[4,3,6,7,1,2,5]=>[5,6,2,1,7,3,4]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,6,7,1,5,2]=>[5,7,2,1,6,3,4]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,6,7,2,1,5]=>[6,5,2,1,7,3,4]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,3,6,7,2,5,1]=>[7,5,2,1,6,3,4]=>[7,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[4,3,6,7,5,1,2]=>[6,7,2,1,5,3,4]=>[6,7,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,3,6,7,5,2,1]=>[7,6,2,1,5,3,4]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[4,3,7,1,2,5,6]=>[4,5,2,1,6,7,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,7,1,2,6,5]=>[4,5,2,1,7,6,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,7,1,5,2,6]=>[4,6,2,1,5,7,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,7,1,5,6,2]=>[4,7,2,1,5,6,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,7,1,6,2,5]=>[4,6,2,1,7,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,7,1,6,5,2]=>[4,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,7,2,1,5,6]=>[5,4,2,1,6,7,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,7,2,5,1,6]=>[6,4,2,1,5,7,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,7,2,5,6,1]=>[7,4,2,1,5,6,3]=>[7,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,3,7,2,6,1,5]=>[6,4,2,1,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,7,2,6,5,1]=>[7,4,2,1,6,5,3]=>[7,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,3,7,5,1,2,6]=>[5,6,2,1,4,7,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,7,5,1,6,2]=>[5,7,2,1,4,6,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,7,5,2,1,6]=>[6,5,2,1,4,7,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,3,7,5,2,6,1]=>[7,5,2,1,4,6,3]=>[7,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[4,3,7,5,6,1,2]=>[6,7,2,1,4,5,3]=>[6,7,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,3,7,5,6,2,1]=>[7,6,2,1,4,5,3]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[4,3,7,6,1,2,5]=>[5,6,2,1,7,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,7,6,1,5,2]=>[5,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,7,6,2,1,5]=>[6,5,2,1,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,3,7,6,2,5,1]=>[7,5,2,1,6,4,3]=>[7,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[4,3,7,6,5,1,2]=>[6,7,2,1,5,4,3]=>[6,7,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,3,7,6,5,2,1]=>[7,6,2,1,5,4,3]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[4,5,1,2,3,6,7]=>[3,4,5,1,2,6,7]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,2,3,7,6]=>[3,4,5,1,2,7,6]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,2,6,3,7]=>[3,4,6,1,2,5,7]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,2,6,7,3]=>[3,4,7,1,2,5,6]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,2,7,3,6]=>[3,4,6,1,2,7,5]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,2,7,6,3]=>[3,4,7,1,2,6,5]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,3,2,6,7]=>[3,5,4,1,2,6,7]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,3,2,7,6]=>[3,5,4,1,2,7,6]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,3,6,2,7]=>[3,6,4,1,2,5,7]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,3,6,7,2]=>[3,7,4,1,2,5,6]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,3,7,2,6]=>[3,6,4,1,2,7,5]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,3,7,6,2]=>[3,7,4,1,2,6,5]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,6,2,3,7]=>[3,5,6,1,2,4,7]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,6,2,7,3]=>[3,5,7,1,2,4,6]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,6,3,2,7]=>[3,6,5,1,2,4,7]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,6,3,7,2]=>[3,7,5,1,2,4,6]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,6,7,2,3]=>[3,6,7,1,2,4,5]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,6,7,3,2]=>[3,7,6,1,2,4,5]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,7,2,3,6]=>[3,5,6,1,2,7,4]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,7,2,6,3]=>[3,5,7,1,2,6,4]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,7,3,2,6]=>[3,6,5,1,2,7,4]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,7,3,6,2]=>[3,7,5,1,2,6,4]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,7,6,2,3]=>[3,6,7,1,2,5,4]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,1,7,6,3,2]=>[3,7,6,1,2,5,4]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,2,1,3,6,7]=>[4,3,5,1,2,6,7]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,2,1,3,7,6]=>[4,3,5,1,2,7,6]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,2,1,6,3,7]=>[4,3,6,1,2,5,7]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,2,1,6,7,3]=>[4,3,7,1,2,5,6]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,2,1,7,3,6]=>[4,3,6,1,2,7,5]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,2,1,7,6,3]=>[4,3,7,1,2,6,5]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,2,3,1,6,7]=>[5,3,4,1,2,6,7]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,5,2,3,1,7,6]=>[5,3,4,1,2,7,6]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,5,2,3,6,1,7]=>[6,3,4,1,2,5,7]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,5,2,3,6,7,1]=>[7,3,4,1,2,5,6]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,5,2,3,7,1,6]=>[6,3,4,1,2,7,5]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,5,2,3,7,6,1]=>[7,3,4,1,2,6,5]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,5,2,6,1,3,7]=>[5,3,6,1,2,4,7]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,5,2,6,1,7,3]=>[5,3,7,1,2,4,6]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,5,2,6,3,1,7]=>[6,3,5,1,2,4,7]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,5,2,6,3,7,1]=>[7,3,5,1,2,4,6]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,5,2,6,7,1,3]=>[6,3,7,1,2,4,5]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,5,2,6,7,3,1]=>[7,3,6,1,2,4,5]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,5,2,7,1,3,6]=>[5,3,6,1,2,7,4]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,5,2,7,1,6,3]=>[5,3,7,1,2,6,4]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,5,2,7,3,1,6]=>[6,3,5,1,2,7,4]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,5,2,7,3,6,1]=>[7,3,5,1,2,6,4]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,5,2,7,6,1,3]=>[6,3,7,1,2,5,4]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,5,2,7,6,3,1]=>[7,3,6,1,2,5,4]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,5,3,1,2,6,7]=>[4,5,3,1,2,6,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,1,2,7,6]=>[4,5,3,1,2,7,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,1,6,2,7]=>[4,6,3,1,2,5,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,1,6,7,2]=>[4,7,3,1,2,5,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,1,7,2,6]=>[4,6,3,1,2,7,5]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,1,7,6,2]=>[4,7,3,1,2,6,5]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,2,1,6,7]=>[5,4,3,1,2,6,7]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,5,3,2,1,7,6]=>[5,4,3,1,2,7,6]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,5,3,2,6,1,7]=>[6,4,3,1,2,5,7]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,3,2,6,7,1]=>[7,4,3,1,2,5,6]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,5,3,2,7,1,6]=>[6,4,3,1,2,7,5]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,3,2,7,6,1]=>[7,4,3,1,2,6,5]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,5,3,6,1,2,7]=>[5,6,3,1,2,4,7]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,5,3,6,1,7,2]=>[5,7,3,1,2,4,6]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,5,3,6,2,1,7]=>[6,5,3,1,2,4,7]=>[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,5,3,6,2,7,1]=>[7,5,3,1,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,5,3,6,7,1,2]=>[6,7,3,1,2,4,5]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,5,3,6,7,2,1]=>[7,6,3,1,2,4,5]=>[7,6,3,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[4,5,3,7,1,2,6]=>[5,6,3,1,2,7,4]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,5,3,7,1,6,2]=>[5,7,3,1,2,6,4]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,5,3,7,2,1,6]=>[6,5,3,1,2,7,4]=>[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,5,3,7,2,6,1]=>[7,5,3,1,2,6,4]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,5,3,7,6,1,2]=>[6,7,3,1,2,5,4]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,5,3,7,6,2,1]=>[7,6,3,1,2,5,4]=>[7,6,3,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[4,5,6,1,2,3,7]=>[4,5,6,1,2,3,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,2,7,3]=>[4,5,7,1,2,3,6]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,3,2,7]=>[4,6,5,1,2,3,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,3,7,2]=>[4,7,5,1,2,3,6]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,7,2,3]=>[4,6,7,1,2,3,5]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,7,3,2]=>[4,7,6,1,2,3,5]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,2,1,3,7]=>[5,4,6,1,2,3,7]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,5,6,2,1,7,3]=>[5,4,7,1,2,3,6]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,5,6,2,3,1,7]=>[6,4,5,1,2,3,7]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,5,6,2,3,7,1]=>[7,4,5,1,2,3,6]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,5,6,2,7,1,3]=>[6,4,7,1,2,3,5]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,5,6,2,7,3,1]=>[7,4,6,1,2,3,5]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,5,6,3,1,2,7]=>[5,6,4,1,2,3,7]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,5,6,3,1,7,2]=>[5,7,4,1,2,3,6]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,5,6,3,2,1,7]=>[6,5,4,1,2,3,7]=>[6,5,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[4,5,6,3,2,7,1]=>[7,5,4,1,2,3,6]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[4,5,6,3,7,1,2]=>[6,7,4,1,2,3,5]=>[6,7,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,5,6,3,7,2,1]=>[7,6,4,1,2,3,5]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[4,5,6,7,1,2,3]=>[5,6,7,1,2,3,4]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,5,6,7,1,3,2]=>[5,7,6,1,2,3,4]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,5,6,7,2,1,3]=>[6,5,7,1,2,3,4]=>[6,5,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,5,6,7,2,3,1]=>[7,5,6,1,2,3,4]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[4,5,6,7,3,1,2]=>[6,7,5,1,2,3,4]=>[6,7,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,5,6,7,3,2,1]=>[7,6,5,1,2,3,4]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[4,5,7,1,2,3,6]=>[4,5,6,1,2,7,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,1,2,6,3]=>[4,5,7,1,2,6,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,1,3,2,6]=>[4,6,5,1,2,7,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,1,3,6,2]=>[4,7,5,1,2,6,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,1,6,2,3]=>[4,6,7,1,2,5,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,1,6,3,2]=>[4,7,6,1,2,5,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,2,1,3,6]=>[5,4,6,1,2,7,3]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,5,7,2,1,6,3]=>[5,4,7,1,2,6,3]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,5,7,2,3,1,6]=>[6,4,5,1,2,7,3]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,5,7,2,3,6,1]=>[7,4,5,1,2,6,3]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,5,7,2,6,1,3]=>[6,4,7,1,2,5,3]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,5,7,2,6,3,1]=>[7,4,6,1,2,5,3]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,5,7,3,1,2,6]=>[5,6,4,1,2,7,3]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,5,7,3,1,6,2]=>[5,7,4,1,2,6,3]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,5,7,3,2,1,6]=>[6,5,4,1,2,7,3]=>[6,5,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[4,5,7,3,2,6,1]=>[7,5,4,1,2,6,3]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[4,5,7,3,6,1,2]=>[6,7,4,1,2,5,3]=>[6,7,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,5,7,3,6,2,1]=>[7,6,4,1,2,5,3]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[4,5,7,6,1,2,3]=>[5,6,7,1,2,4,3]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,5,7,6,1,3,2]=>[5,7,6,1,2,4,3]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,5,7,6,2,1,3]=>[6,5,7,1,2,4,3]=>[6,5,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,5,7,6,2,3,1]=>[7,5,6,1,2,4,3]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[4,5,7,6,3,1,2]=>[6,7,5,1,2,4,3]=>[6,7,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,5,7,6,3,2,1]=>[7,6,5,1,2,4,3]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[4,6,1,2,3,5,7]=>[3,4,5,1,6,2,7]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,2,3,7,5]=>[3,4,5,1,7,2,6]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,2,5,3,7]=>[3,4,6,1,5,2,7]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,2,5,7,3]=>[3,4,7,1,5,2,6]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,2,7,3,5]=>[3,4,6,1,7,2,5]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,2,7,5,3]=>[3,4,7,1,6,2,5]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,3,2,5,7]=>[3,5,4,1,6,2,7]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,3,2,7,5]=>[3,5,4,1,7,2,6]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,3,5,2,7]=>[3,6,4,1,5,2,7]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,3,5,7,2]=>[3,7,4,1,5,2,6]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,3,7,2,5]=>[3,6,4,1,7,2,5]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,3,7,5,2]=>[3,7,4,1,6,2,5]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,5,2,3,7]=>[3,5,6,1,4,2,7]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,5,2,7,3]=>[3,5,7,1,4,2,6]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,5,3,2,7]=>[3,6,5,1,4,2,7]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,5,3,7,2]=>[3,7,5,1,4,2,6]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,5,7,2,3]=>[3,6,7,1,4,2,5]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,5,7,3,2]=>[3,7,6,1,4,2,5]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,7,2,3,5]=>[3,5,6,1,7,2,4]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,7,2,5,3]=>[3,5,7,1,6,2,4]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,7,3,2,5]=>[3,6,5,1,7,2,4]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,7,3,5,2]=>[3,7,5,1,6,2,4]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,7,5,2,3]=>[3,6,7,1,5,2,4]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,1,7,5,3,2]=>[3,7,6,1,5,2,4]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,2,1,3,5,7]=>[4,3,5,1,6,2,7]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,2,1,3,7,5]=>[4,3,5,1,7,2,6]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,2,1,5,3,7]=>[4,3,6,1,5,2,7]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,2,1,5,7,3]=>[4,3,7,1,5,2,6]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,2,1,7,3,5]=>[4,3,6,1,7,2,5]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,2,1,7,5,3]=>[4,3,7,1,6,2,5]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,2,3,1,5,7]=>[5,3,4,1,6,2,7]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,2,3,1,7,5]=>[5,3,4,1,7,2,6]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,2,3,5,1,7]=>[6,3,4,1,5,2,7]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,6,2,3,5,7,1]=>[7,3,4,1,5,2,6]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,2,3,7,1,5]=>[6,3,4,1,7,2,5]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,6,2,3,7,5,1]=>[7,3,4,1,6,2,5]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,2,5,1,3,7]=>[5,3,6,1,4,2,7]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,2,5,1,7,3]=>[5,3,7,1,4,2,6]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,2,5,3,1,7]=>[6,3,5,1,4,2,7]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,6,2,5,3,7,1]=>[7,3,5,1,4,2,6]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,2,5,7,1,3]=>[6,3,7,1,4,2,5]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,6,2,5,7,3,1]=>[7,3,6,1,4,2,5]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,2,7,1,3,5]=>[5,3,6,1,7,2,4]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,2,7,1,5,3]=>[5,3,7,1,6,2,4]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,2,7,3,1,5]=>[6,3,5,1,7,2,4]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,6,2,7,3,5,1]=>[7,3,5,1,6,2,4]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,2,7,5,1,3]=>[6,3,7,1,5,2,4]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,6,2,7,5,3,1]=>[7,3,6,1,5,2,4]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,3,1,2,5,7]=>[4,5,3,1,6,2,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,1,2,7,5]=>[4,5,3,1,7,2,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,1,5,2,7]=>[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,1,5,7,2]=>[4,7,3,1,5,2,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,1,7,2,5]=>[4,6,3,1,7,2,5]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,1,7,5,2]=>[4,7,3,1,6,2,5]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,2,1,5,7]=>[5,4,3,1,6,2,7]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,6,3,2,1,7,5]=>[5,4,3,1,7,2,6]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,6,3,2,5,1,7]=>[6,4,3,1,5,2,7]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,6,3,2,5,7,1]=>[7,4,3,1,5,2,6]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,6,3,2,7,1,5]=>[6,4,3,1,7,2,5]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,6,3,2,7,5,1]=>[7,4,3,1,6,2,5]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,6,3,5,1,2,7]=>[5,6,3,1,4,2,7]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,3,5,1,7,2]=>[5,7,3,1,4,2,6]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,3,5,2,1,7]=>[6,5,3,1,4,2,7]=>[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,6,3,5,2,7,1]=>[7,5,3,1,4,2,6]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,6,3,5,7,1,2]=>[6,7,3,1,4,2,5]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,6,3,5,7,2,1]=>[7,6,3,1,4,2,5]=>[7,6,3,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[4,6,3,7,1,2,5]=>[5,6,3,1,7,2,4]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,3,7,1,5,2]=>[5,7,3,1,6,2,4]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,3,7,2,1,5]=>[6,5,3,1,7,2,4]=>[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,6,3,7,2,5,1]=>[7,5,3,1,6,2,4]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,6,3,7,5,1,2]=>[6,7,3,1,5,2,4]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,6,3,7,5,2,1]=>[7,6,3,1,5,2,4]=>[7,6,3,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[4,6,5,1,2,3,7]=>[4,5,6,1,3,2,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,5,1,2,7,3]=>[4,5,7,1,3,2,6]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,5,1,3,2,7]=>[4,6,5,1,3,2,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,5,1,3,7,2]=>[4,7,5,1,3,2,6]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,5,1,7,2,3]=>[4,6,7,1,3,2,5]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,5,1,7,3,2]=>[4,7,6,1,3,2,5]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,5,2,1,3,7]=>[5,4,6,1,3,2,7]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,6,5,2,1,7,3]=>[5,4,7,1,3,2,6]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,6,5,2,3,1,7]=>[6,4,5,1,3,2,7]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,6,5,2,3,7,1]=>[7,4,5,1,3,2,6]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,6,5,2,7,1,3]=>[6,4,7,1,3,2,5]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,6,5,2,7,3,1]=>[7,4,6,1,3,2,5]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,6,5,3,1,2,7]=>[5,6,4,1,3,2,7]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,6,5,3,1,7,2]=>[5,7,4,1,3,2,6]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,6,5,3,2,1,7]=>[6,5,4,1,3,2,7]=>[6,5,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[4,6,5,3,2,7,1]=>[7,5,4,1,3,2,6]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[4,6,5,3,7,1,2]=>[6,7,4,1,3,2,5]=>[6,7,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,6,5,3,7,2,1]=>[7,6,4,1,3,2,5]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[4,6,5,7,1,2,3]=>[5,6,7,1,3,2,4]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,6,5,7,1,3,2]=>[5,7,6,1,3,2,4]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,6,5,7,2,1,3]=>[6,5,7,1,3,2,4]=>[6,5,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,6,5,7,2,3,1]=>[7,5,6,1,3,2,4]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[4,6,5,7,3,1,2]=>[6,7,5,1,3,2,4]=>[6,7,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,6,5,7,3,2,1]=>[7,6,5,1,3,2,4]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[4,6,7,1,2,3,5]=>[4,5,6,1,7,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,1,2,5,3]=>[4,5,7,1,6,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,1,3,2,5]=>[4,6,5,1,7,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,1,3,5,2]=>[4,7,5,1,6,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,1,5,2,3]=>[4,6,7,1,5,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,1,5,3,2]=>[4,7,6,1,5,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,2,1,3,5]=>[5,4,6,1,7,2,3]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,6,7,2,1,5,3]=>[5,4,7,1,6,2,3]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,6,7,2,3,1,5]=>[6,4,5,1,7,2,3]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,6,7,2,3,5,1]=>[7,4,5,1,6,2,3]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,6,7,2,5,1,3]=>[6,4,7,1,5,2,3]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,6,7,2,5,3,1]=>[7,4,6,1,5,2,3]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,6,7,3,1,2,5]=>[5,6,4,1,7,2,3]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,6,7,3,1,5,2]=>[5,7,4,1,6,2,3]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,6,7,3,2,1,5]=>[6,5,4,1,7,2,3]=>[6,5,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[4,6,7,3,2,5,1]=>[7,5,4,1,6,2,3]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[4,6,7,3,5,1,2]=>[6,7,4,1,5,2,3]=>[6,7,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,6,7,3,5,2,1]=>[7,6,4,1,5,2,3]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[4,6,7,5,1,2,3]=>[5,6,7,1,4,2,3]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,6,7,5,1,3,2]=>[5,7,6,1,4,2,3]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,6,7,5,2,1,3]=>[6,5,7,1,4,2,3]=>[6,5,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,6,7,5,2,3,1]=>[7,5,6,1,4,2,3]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[4,6,7,5,3,1,2]=>[6,7,5,1,4,2,3]=>[6,7,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,6,7,5,3,2,1]=>[7,6,5,1,4,2,3]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[4,7,1,2,3,5,6]=>[3,4,5,1,6,7,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,2,3,6,5]=>[3,4,5,1,7,6,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,2,5,3,6]=>[3,4,6,1,5,7,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,2,5,6,3]=>[3,4,7,1,5,6,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,2,6,3,5]=>[3,4,6,1,7,5,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,2,6,5,3]=>[3,4,7,1,6,5,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,3,2,5,6]=>[3,5,4,1,6,7,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,3,2,6,5]=>[3,5,4,1,7,6,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,3,5,2,6]=>[3,6,4,1,5,7,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,3,5,6,2]=>[3,7,4,1,5,6,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,3,6,2,5]=>[3,6,4,1,7,5,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,3,6,5,2]=>[3,7,4,1,6,5,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,5,2,3,6]=>[3,5,6,1,4,7,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,5,2,6,3]=>[3,5,7,1,4,6,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,5,3,2,6]=>[3,6,5,1,4,7,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,5,3,6,2]=>[3,7,5,1,4,6,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,5,6,2,3]=>[3,6,7,1,4,5,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,5,6,3,2]=>[3,7,6,1,4,5,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,6,2,3,5]=>[3,5,6,1,7,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,6,2,5,3]=>[3,5,7,1,6,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,6,3,2,5]=>[3,6,5,1,7,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,6,3,5,2]=>[3,7,5,1,6,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,6,5,2,3]=>[3,6,7,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,1,6,5,3,2]=>[3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,2,1,3,5,6]=>[4,3,5,1,6,7,2]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,2,1,3,6,5]=>[4,3,5,1,7,6,2]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,2,1,5,3,6]=>[4,3,6,1,5,7,2]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,2,1,5,6,3]=>[4,3,7,1,5,6,2]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,2,1,6,3,5]=>[4,3,6,1,7,5,2]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,2,1,6,5,3]=>[4,3,7,1,6,5,2]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,2,3,1,5,6]=>[5,3,4,1,6,7,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,2,3,1,6,5]=>[5,3,4,1,7,6,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,2,3,5,1,6]=>[6,3,4,1,5,7,2]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,2,3,5,6,1]=>[7,3,4,1,5,6,2]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,2,3,6,1,5]=>[6,3,4,1,7,5,2]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,2,3,6,5,1]=>[7,3,4,1,6,5,2]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,2,5,1,3,6]=>[5,3,6,1,4,7,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,2,5,1,6,3]=>[5,3,7,1,4,6,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,2,5,3,1,6]=>[6,3,5,1,4,7,2]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,2,5,3,6,1]=>[7,3,5,1,4,6,2]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,2,5,6,1,3]=>[6,3,7,1,4,5,2]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,2,5,6,3,1]=>[7,3,6,1,4,5,2]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,2,6,1,3,5]=>[5,3,6,1,7,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,2,6,1,5,3]=>[5,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,2,6,3,1,5]=>[6,3,5,1,7,4,2]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,2,6,3,5,1]=>[7,3,5,1,6,4,2]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,2,6,5,1,3]=>[6,3,7,1,5,4,2]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,2,6,5,3,1]=>[7,3,6,1,5,4,2]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,3,1,2,5,6]=>[4,5,3,1,6,7,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,1,2,6,5]=>[4,5,3,1,7,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,1,5,2,6]=>[4,6,3,1,5,7,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,1,5,6,2]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,1,6,2,5]=>[4,6,3,1,7,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,2,1,5,6]=>[5,4,3,1,6,7,2]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,7,3,2,1,6,5]=>[5,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,7,3,2,5,1,6]=>[6,4,3,1,5,7,2]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,7,3,2,5,6,1]=>[7,4,3,1,5,6,2]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,7,3,2,6,1,5]=>[6,4,3,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,7,3,2,6,5,1]=>[7,4,3,1,6,5,2]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,7,3,5,1,2,6]=>[5,6,3,1,4,7,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,3,5,1,6,2]=>[5,7,3,1,4,6,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,3,5,2,1,6]=>[6,5,3,1,4,7,2]=>[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,7,3,5,2,6,1]=>[7,5,3,1,4,6,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,7,3,5,6,1,2]=>[6,7,3,1,4,5,2]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,3,5,6,2,1]=>[7,6,3,1,4,5,2]=>[7,6,3,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[4,7,3,6,1,2,5]=>[5,6,3,1,7,4,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,3,6,1,5,2]=>[5,7,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,3,6,2,1,5]=>[6,5,3,1,7,4,2]=>[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,7,3,6,2,5,1]=>[7,5,3,1,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,7,3,6,5,1,2]=>[6,7,3,1,5,4,2]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,3,6,5,2,1]=>[7,6,3,1,5,4,2]=>[7,6,3,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[4,7,5,1,2,3,6]=>[4,5,6,1,3,7,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,5,1,2,6,3]=>[4,5,7,1,3,6,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,5,1,3,2,6]=>[4,6,5,1,3,7,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,5,1,3,6,2]=>[4,7,5,1,3,6,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,5,1,6,2,3]=>[4,6,7,1,3,5,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,5,1,6,3,2]=>[4,7,6,1,3,5,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,5,2,1,3,6]=>[5,4,6,1,3,7,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,7,5,2,1,6,3]=>[5,4,7,1,3,6,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,7,5,2,3,1,6]=>[6,4,5,1,3,7,2]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,5,2,3,6,1]=>[7,4,5,1,3,6,2]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,7,5,2,6,1,3]=>[6,4,7,1,3,5,2]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,5,2,6,3,1]=>[7,4,6,1,3,5,2]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,7,5,3,1,2,6]=>[5,6,4,1,3,7,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,7,5,3,1,6,2]=>[5,7,4,1,3,6,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,7,5,3,2,1,6]=>[6,5,4,1,3,7,2]=>[6,5,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[4,7,5,3,2,6,1]=>[7,5,4,1,3,6,2]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[4,7,5,3,6,1,2]=>[6,7,4,1,3,5,2]=>[6,7,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,5,3,6,2,1]=>[7,6,4,1,3,5,2]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[4,7,5,6,1,2,3]=>[5,6,7,1,3,4,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,7,5,6,1,3,2]=>[5,7,6,1,3,4,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,7,5,6,2,1,3]=>[6,5,7,1,3,4,2]=>[6,5,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,7,5,6,2,3,1]=>[7,5,6,1,3,4,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[4,7,5,6,3,1,2]=>[6,7,5,1,3,4,2]=>[6,7,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,7,5,6,3,2,1]=>[7,6,5,1,3,4,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[4,7,6,1,2,3,5]=>[4,5,6,1,7,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,6,1,2,5,3]=>[4,5,7,1,6,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,6,1,3,2,5]=>[4,6,5,1,7,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,6,1,3,5,2]=>[4,7,5,1,6,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,6,1,5,2,3]=>[4,6,7,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,6,2,1,3,5]=>[5,4,6,1,7,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,7,6,2,1,5,3]=>[5,4,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,7,6,2,3,1,5]=>[6,4,5,1,7,3,2]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,6,2,3,5,1]=>[7,4,5,1,6,3,2]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,7,6,2,5,1,3]=>[6,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,6,2,5,3,1]=>[7,4,6,1,5,3,2]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,7,6,3,1,2,5]=>[5,6,4,1,7,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,7,6,3,1,5,2]=>[5,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,7,6,3,2,1,5]=>[6,5,4,1,7,3,2]=>[6,5,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[4,7,6,3,2,5,1]=>[7,5,4,1,6,3,2]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[4,7,6,3,5,1,2]=>[6,7,4,1,5,3,2]=>[6,7,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,6,3,5,2,1]=>[7,6,4,1,5,3,2]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[4,7,6,5,1,2,3]=>[5,6,7,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,7,6,5,1,3,2]=>[5,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,7,6,5,2,1,3]=>[6,5,7,1,4,3,2]=>[6,5,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,7,6,5,2,3,1]=>[7,5,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[4,7,6,5,3,1,2]=>[6,7,5,1,4,3,2]=>[6,7,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,7,6,5,3,2,1]=>[7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,3,4,7,6]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,3,6,4,7]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,3,6,7,4]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,3,7,4,6]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,3,7,6,4]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,4,3,6,7]=>[2,3,5,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,4,3,7,6]=>[2,3,5,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,4,6,3,7]=>[2,3,6,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,4,6,7,3]=>[2,3,7,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,4,7,3,6]=>[2,3,6,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,4,7,6,3]=>[2,3,7,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,6,3,4,7]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,6,3,7,4]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,6,4,3,7]=>[2,3,6,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,6,4,7,3]=>[2,3,7,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,6,7,3,4]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,6,7,4,3]=>[2,3,7,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,7,3,4,6]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,7,3,6,4]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,7,4,3,6]=>[2,3,6,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,7,4,6,3]=>[2,3,7,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,7,6,3,4]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,7,6,4,3]=>[2,3,7,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,2,4,6,7]=>[2,4,3,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,2,4,7,6]=>[2,4,3,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,2,6,4,7]=>[2,4,3,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,2,6,7,4]=>[2,4,3,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,2,7,4,6]=>[2,4,3,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,2,7,6,4]=>[2,4,3,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,4,2,6,7]=>[2,5,3,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,4,2,7,6]=>[2,5,3,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,4,6,2,7]=>[2,6,3,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,4,6,7,2]=>[2,7,3,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,4,7,2,6]=>[2,6,3,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,4,7,6,2]=>[2,7,3,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,6,2,4,7]=>[2,5,3,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,6,2,7,4]=>[2,5,3,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,6,4,2,7]=>[2,6,3,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,6,4,7,2]=>[2,7,3,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,6,7,2,4]=>[2,6,3,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,6,7,4,2]=>[2,7,3,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,7,2,4,6]=>[2,5,3,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,7,2,6,4]=>[2,5,3,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,7,4,2,6]=>[2,6,3,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,7,4,6,2]=>[2,7,3,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,7,6,2,4]=>[2,6,3,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,7,6,4,2]=>[2,7,3,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,2,3,6,7]=>[2,4,5,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,2,3,7,6]=>[2,4,5,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,2,6,3,7]=>[2,4,6,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,2,6,7,3]=>[2,4,7,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,2,7,3,6]=>[2,4,6,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,2,7,6,3]=>[2,4,7,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,3,2,6,7]=>[2,5,4,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,3,6,2,7]=>[2,6,4,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,3,6,7,2]=>[2,7,4,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,3,7,6,2]=>[2,7,4,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,6,2,3,7]=>[2,5,6,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,6,2,7,3]=>[2,5,7,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,6,3,2,7]=>[2,6,5,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,6,3,7,2]=>[2,7,5,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,6,7,2,3]=>[2,6,7,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,6,7,3,2]=>[2,7,6,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,7,2,3,6]=>[2,5,6,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,7,2,6,3]=>[2,5,7,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,7,3,2,6]=>[2,6,5,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,7,3,6,2]=>[2,7,5,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,7,6,2,3]=>[2,6,7,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,7,6,3,2]=>[2,7,6,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,2,3,4,7]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,2,3,7,4]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,2,4,3,7]=>[2,4,6,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,2,4,7,3]=>[2,4,7,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,2,7,3,4]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,2,7,4,3]=>[2,4,7,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,3,2,4,7]=>[2,5,4,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,3,2,7,4]=>[2,5,4,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,3,4,2,7]=>[2,6,4,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,3,4,7,2]=>[2,7,4,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,3,7,2,4]=>[2,6,4,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,3,7,4,2]=>[2,7,4,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,4,2,3,7]=>[2,5,6,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,4,2,7,3]=>[2,5,7,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,4,3,2,7]=>[2,6,5,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,4,3,7,2]=>[2,7,5,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,4,7,2,3]=>[2,6,7,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,4,7,3,2]=>[2,7,6,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,7,2,3,4]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,7,2,4,3]=>[2,5,7,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,7,3,2,4]=>[2,6,5,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,7,3,4,2]=>[2,7,5,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,7,4,2,3]=>[2,6,7,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,7,4,3,2]=>[2,7,6,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,2,3,4,6]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,2,3,6,4]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,2,4,3,6]=>[2,4,6,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,2,4,6,3]=>[2,4,7,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,2,6,3,4]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,2,6,4,3]=>[2,4,7,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,3,2,4,6]=>[2,5,4,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,3,2,6,4]=>[2,5,4,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,3,4,2,6]=>[2,6,4,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,3,4,6,2]=>[2,7,4,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,3,6,2,4]=>[2,6,4,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,3,6,4,2]=>[2,7,4,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,4,2,3,6]=>[2,5,6,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,4,2,6,3]=>[2,5,7,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,4,3,2,6]=>[2,6,5,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,4,3,6,2]=>[2,7,5,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,4,6,2,3]=>[2,6,7,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,4,6,3,2]=>[2,7,6,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,6,2,3,4]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,6,2,4,3]=>[2,5,7,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,6,3,2,4]=>[2,6,5,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,6,3,4,2]=>[2,7,5,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,6,4,2,3]=>[2,6,7,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,6,4,3,2]=>[2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,3,4,6,7]=>[3,2,4,5,1,6,7]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,3,4,7,6]=>[3,2,4,5,1,7,6]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,3,6,4,7]=>[3,2,4,6,1,5,7]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,3,6,7,4]=>[3,2,4,7,1,5,6]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,3,7,4,6]=>[3,2,4,6,1,7,5]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,3,7,6,4]=>[3,2,4,7,1,6,5]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,4,3,6,7]=>[3,2,5,4,1,6,7]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,4,6,3,7]=>[3,2,6,4,1,5,7]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,4,6,7,3]=>[3,2,7,4,1,5,6]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,4,7,3,6]=>[3,2,6,4,1,7,5]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,4,7,6,3]=>[3,2,7,4,1,6,5]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,6,3,4,7]=>[3,2,5,6,1,4,7]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,6,3,7,4]=>[3,2,5,7,1,4,6]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,6,4,3,7]=>[3,2,6,5,1,4,7]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,6,4,7,3]=>[3,2,7,5,1,4,6]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,6,7,3,4]=>[3,2,6,7,1,4,5]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,6,7,4,3]=>[3,2,7,6,1,4,5]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,7,3,4,6]=>[3,2,5,6,1,7,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,7,3,6,4]=>[3,2,5,7,1,6,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,7,4,3,6]=>[3,2,6,5,1,7,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,7,4,6,3]=>[3,2,7,5,1,6,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,7,6,3,4]=>[3,2,6,7,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,1,7,6,4,3]=>[3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,3,1,4,6,7]=>[4,2,3,5,1,6,7]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,3,1,4,7,6]=>[4,2,3,5,1,7,6]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,3,1,6,4,7]=>[4,2,3,6,1,5,7]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,3,1,6,7,4]=>[4,2,3,7,1,5,6]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,3,1,7,4,6]=>[4,2,3,6,1,7,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,3,1,7,6,4]=>[4,2,3,7,1,6,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,3,4,1,6,7]=>[5,2,3,4,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,4,1,7,6]=>[5,2,3,4,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,4,6,1,7]=>[6,2,3,4,1,5,7]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,3,4,6,7,1]=>[7,2,3,4,1,5,6]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,3,4,7,1,6]=>[6,2,3,4,1,7,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,3,4,7,6,1]=>[7,2,3,4,1,6,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,3,6,1,4,7]=>[5,2,3,6,1,4,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,6,1,7,4]=>[5,2,3,7,1,4,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,6,4,1,7]=>[6,2,3,5,1,4,7]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,3,6,4,7,1]=>[7,2,3,5,1,4,6]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,3,6,7,1,4]=>[6,2,3,7,1,4,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,3,6,7,4,1]=>[7,2,3,6,1,4,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,3,7,1,4,6]=>[5,2,3,6,1,7,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,7,1,6,4]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,7,4,1,6]=>[6,2,3,5,1,7,4]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,3,7,4,6,1]=>[7,2,3,5,1,6,4]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,3,7,6,1,4]=>[6,2,3,7,1,5,4]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,3,7,6,4,1]=>[7,2,3,6,1,5,4]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,4,1,3,6,7]=>[4,2,5,3,1,6,7]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,4,1,3,7,6]=>[4,2,5,3,1,7,6]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,4,1,6,3,7]=>[4,2,6,3,1,5,7]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,4,1,6,7,3]=>[4,2,7,3,1,5,6]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,4,1,7,3,6]=>[4,2,6,3,1,7,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,4,1,7,6,3]=>[4,2,7,3,1,6,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,4,3,1,6,7]=>[5,2,4,3,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,3,1,7,6]=>[5,2,4,3,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,3,6,1,7]=>[6,2,4,3,1,5,7]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,4,3,6,7,1]=>[7,2,4,3,1,5,6]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,4,3,7,1,6]=>[6,2,4,3,1,7,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,4,3,7,6,1]=>[7,2,4,3,1,6,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,4,6,1,3,7]=>[5,2,6,3,1,4,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,6,1,7,3]=>[5,2,7,3,1,4,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,6,3,1,7]=>[6,2,5,3,1,4,7]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,4,6,3,7,1]=>[7,2,5,3,1,4,6]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,4,6,7,1,3]=>[6,2,7,3,1,4,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,4,6,7,3,1]=>[7,2,6,3,1,4,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,4,7,1,3,6]=>[5,2,6,3,1,7,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,7,1,6,3]=>[5,2,7,3,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,7,3,1,6]=>[6,2,5,3,1,7,4]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,4,7,3,6,1]=>[7,2,5,3,1,6,4]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,4,7,6,1,3]=>[6,2,7,3,1,5,4]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,4,7,6,3,1]=>[7,2,6,3,1,5,4]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,6,1,3,4,7]=>[4,2,5,6,1,3,7]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,6,1,3,7,4]=>[4,2,5,7,1,3,6]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,6,1,4,3,7]=>[4,2,6,5,1,3,7]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,6,1,4,7,3]=>[4,2,7,5,1,3,6]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,6,1,7,3,4]=>[4,2,6,7,1,3,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,6,1,7,4,3]=>[4,2,7,6,1,3,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,6,3,1,4,7]=>[5,2,4,6,1,3,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,3,1,7,4]=>[5,2,4,7,1,3,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,3,4,1,7]=>[6,2,4,5,1,3,7]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,6,3,4,7,1]=>[7,2,4,5,1,3,6]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,6,3,7,1,4]=>[6,2,4,7,1,3,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,6,3,7,4,1]=>[7,2,4,6,1,3,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,6,4,1,3,7]=>[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,4,1,7,3]=>[5,2,7,4,1,3,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,4,3,1,7]=>[6,2,5,4,1,3,7]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,6,4,3,7,1]=>[7,2,5,4,1,3,6]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,6,4,7,1,3]=>[6,2,7,4,1,3,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,6,4,7,3,1]=>[7,2,6,4,1,3,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,6,7,1,3,4]=>[5,2,6,7,1,3,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,7,1,4,3]=>[5,2,7,6,1,3,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,7,3,1,4]=>[6,2,5,7,1,3,4]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,6,7,3,4,1]=>[7,2,5,6,1,3,4]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,6,7,4,1,3]=>[6,2,7,5,1,3,4]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,6,7,4,3,1]=>[7,2,6,5,1,3,4]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,7,1,3,4,6]=>[4,2,5,6,1,7,3]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,7,1,3,6,4]=>[4,2,5,7,1,6,3]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,7,1,4,3,6]=>[4,2,6,5,1,7,3]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,7,1,4,6,3]=>[4,2,7,5,1,6,3]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,7,1,6,3,4]=>[4,2,6,7,1,5,3]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,7,1,6,4,3]=>[4,2,7,6,1,5,3]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,7,3,1,4,6]=>[5,2,4,6,1,7,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,3,1,6,4]=>[5,2,4,7,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,3,4,1,6]=>[6,2,4,5,1,7,3]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,7,3,4,6,1]=>[7,2,4,5,1,6,3]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,7,3,6,1,4]=>[6,2,4,7,1,5,3]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,7,3,6,4,1]=>[7,2,4,6,1,5,3]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,7,4,1,3,6]=>[5,2,6,4,1,7,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,4,1,6,3]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,4,3,1,6]=>[6,2,5,4,1,7,3]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,7,4,3,6,1]=>[7,2,5,4,1,6,3]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,7,4,6,1,3]=>[6,2,7,4,1,5,3]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,7,4,6,3,1]=>[7,2,6,4,1,5,3]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,7,6,1,3,4]=>[5,2,6,7,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,6,3,1,4]=>[6,2,5,7,1,4,3]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,7,6,3,4,1]=>[7,2,5,6,1,4,3]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,7,6,4,1,3]=>[6,2,7,5,1,4,3]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,7,6,4,3,1]=>[7,2,6,5,1,4,3]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,3,1,2,4,6,7]=>[3,4,2,5,1,6,7]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,2,4,7,6]=>[3,4,2,5,1,7,6]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,2,6,4,7]=>[3,4,2,6,1,5,7]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,2,6,7,4]=>[3,4,2,7,1,5,6]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,2,7,4,6]=>[3,4,2,6,1,7,5]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,2,7,6,4]=>[3,4,2,7,1,6,5]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,4,2,6,7]=>[3,5,2,4,1,6,7]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,4,2,7,6]=>[3,5,2,4,1,7,6]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,4,6,2,7]=>[3,6,2,4,1,5,7]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,4,6,7,2]=>[3,7,2,4,1,5,6]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,4,7,2,6]=>[3,6,2,4,1,7,5]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,4,7,6,2]=>[3,7,2,4,1,6,5]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,6,2,4,7]=>[3,5,2,6,1,4,7]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,6,2,7,4]=>[3,5,2,7,1,4,6]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,6,4,2,7]=>[3,6,2,5,1,4,7]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,6,4,7,2]=>[3,7,2,5,1,4,6]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,6,7,2,4]=>[3,6,2,7,1,4,5]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,6,7,4,2]=>[3,7,2,6,1,4,5]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,7,2,4,6]=>[3,5,2,6,1,7,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,7,2,6,4]=>[3,5,2,7,1,6,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,7,4,2,6]=>[3,6,2,5,1,7,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,7,4,6,2]=>[3,7,2,5,1,6,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,7,6,2,4]=>[3,6,2,7,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,1,7,6,4,2]=>[3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,2,1,4,6,7]=>[4,3,2,5,1,6,7]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,3,2,1,4,7,6]=>[4,3,2,5,1,7,6]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,3,2,1,6,4,7]=>[4,3,2,6,1,5,7]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,3,2,1,6,7,4]=>[4,3,2,7,1,5,6]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,3,2,1,7,4,6]=>[4,3,2,6,1,7,5]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,3,2,1,7,6,4]=>[4,3,2,7,1,6,5]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,3,2,4,1,6,7]=>[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,4,1,7,6]=>[5,3,2,4,1,7,6]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,4,6,1,7]=>[6,3,2,4,1,5,7]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,2,4,6,7,1]=>[7,3,2,4,1,5,6]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,3,2,4,7,1,6]=>[6,3,2,4,1,7,5]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,2,4,7,6,1]=>[7,3,2,4,1,6,5]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,3,2,6,1,4,7]=>[5,3,2,6,1,4,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,6,1,7,4]=>[5,3,2,7,1,4,6]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,6,4,1,7]=>[6,3,2,5,1,4,7]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,2,6,4,7,1]=>[7,3,2,5,1,4,6]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,3,2,6,7,1,4]=>[6,3,2,7,1,4,5]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,2,6,7,4,1]=>[7,3,2,6,1,4,5]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,3,2,7,1,4,6]=>[5,3,2,6,1,7,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,7,4,1,6]=>[6,3,2,5,1,7,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,2,7,4,6,1]=>[7,3,2,5,1,6,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,3,2,7,6,1,4]=>[6,3,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,2,7,6,4,1]=>[7,3,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,3,4,1,2,6,7]=>[4,5,2,3,1,6,7]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,4,1,2,7,6]=>[4,5,2,3,1,7,6]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,4,1,6,2,7]=>[4,6,2,3,1,5,7]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,4,1,6,7,2]=>[4,7,2,3,1,5,6]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,4,1,7,2,6]=>[4,6,2,3,1,7,5]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,4,1,7,6,2]=>[4,7,2,3,1,6,5]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,4,2,1,6,7]=>[5,4,2,3,1,6,7]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,3,4,2,1,7,6]=>[5,4,2,3,1,7,6]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,3,4,2,6,1,7]=>[6,4,2,3,1,5,7]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,3,4,2,6,7,1]=>[7,4,2,3,1,5,6]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,3,4,2,7,1,6]=>[6,4,2,3,1,7,5]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,3,4,2,7,6,1]=>[7,4,2,3,1,6,5]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,3,4,6,1,2,7]=>[5,6,2,3,1,4,7]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,4,6,1,7,2]=>[5,7,2,3,1,4,6]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,4,6,2,1,7]=>[6,5,2,3,1,4,7]=>[6,5,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,3,4,6,2,7,1]=>[7,5,2,3,1,4,6]=>[7,5,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[5,3,4,6,7,1,2]=>[6,7,2,3,1,4,5]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,3,4,6,7,2,1]=>[7,6,2,3,1,4,5]=>[7,6,2,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[5,3,4,7,1,2,6]=>[5,6,2,3,1,7,4]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,4,7,1,6,2]=>[5,7,2,3,1,6,4]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,4,7,2,1,6]=>[6,5,2,3,1,7,4]=>[6,5,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,3,4,7,2,6,1]=>[7,5,2,3,1,6,4]=>[7,5,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[5,3,4,7,6,1,2]=>[6,7,2,3,1,5,4]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,3,4,7,6,2,1]=>[7,6,2,3,1,5,4]=>[7,6,2,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[5,3,6,1,2,4,7]=>[4,5,2,6,1,3,7]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,6,1,2,7,4]=>[4,5,2,7,1,3,6]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,6,1,4,2,7]=>[4,6,2,5,1,3,7]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,6,1,4,7,2]=>[4,7,2,5,1,3,6]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,6,1,7,2,4]=>[4,6,2,7,1,3,5]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,6,1,7,4,2]=>[4,7,2,6,1,3,5]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,6,2,1,4,7]=>[5,4,2,6,1,3,7]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,3,6,2,1,7,4]=>[5,4,2,7,1,3,6]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,3,6,2,4,1,7]=>[6,4,2,5,1,3,7]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,3,6,2,4,7,1]=>[7,4,2,5,1,3,6]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,3,6,2,7,1,4]=>[6,4,2,7,1,3,5]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,3,6,2,7,4,1]=>[7,4,2,6,1,3,5]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,3,6,4,1,2,7]=>[5,6,2,4,1,3,7]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,6,4,1,7,2]=>[5,7,2,4,1,3,6]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,6,4,2,1,7]=>[6,5,2,4,1,3,7]=>[6,5,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,3,6,4,2,7,1]=>[7,5,2,4,1,3,6]=>[7,5,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[5,3,6,4,7,1,2]=>[6,7,2,4,1,3,5]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,3,6,4,7,2,1]=>[7,6,2,4,1,3,5]=>[7,6,2,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[5,3,6,7,1,2,4]=>[5,6,2,7,1,3,4]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,6,7,1,4,2]=>[5,7,2,6,1,3,4]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,6,7,2,1,4]=>[6,5,2,7,1,3,4]=>[6,5,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,3,6,7,2,4,1]=>[7,5,2,6,1,3,4]=>[7,5,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[5,3,6,7,4,1,2]=>[6,7,2,5,1,3,4]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,3,6,7,4,2,1]=>[7,6,2,5,1,3,4]=>[7,6,2,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[5,3,7,1,2,4,6]=>[4,5,2,6,1,7,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,7,1,2,6,4]=>[4,5,2,7,1,6,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,7,1,4,2,6]=>[4,6,2,5,1,7,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,7,1,4,6,2]=>[4,7,2,5,1,6,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,7,1,6,2,4]=>[4,6,2,7,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,7,1,6,4,2]=>[4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,7,2,1,4,6]=>[5,4,2,6,1,7,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,3,7,2,1,6,4]=>[5,4,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,3,7,2,4,1,6]=>[6,4,2,5,1,7,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,3,7,2,4,6,1]=>[7,4,2,5,1,6,3]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,3,7,2,6,1,4]=>[6,4,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,3,7,2,6,4,1]=>[7,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,3,7,4,1,2,6]=>[5,6,2,4,1,7,3]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,7,4,1,6,2]=>[5,7,2,4,1,6,3]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,7,4,2,1,6]=>[6,5,2,4,1,7,3]=>[6,5,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,3,7,4,2,6,1]=>[7,5,2,4,1,6,3]=>[7,5,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[5,3,7,4,6,1,2]=>[6,7,2,4,1,5,3]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,3,7,4,6,2,1]=>[7,6,2,4,1,5,3]=>[7,6,2,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[5,3,7,6,1,2,4]=>[5,6,2,7,1,4,3]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,7,6,1,4,2]=>[5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,7,6,2,1,4]=>[6,5,2,7,1,4,3]=>[6,5,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,3,7,6,2,4,1]=>[7,5,2,6,1,4,3]=>[7,5,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[5,3,7,6,4,1,2]=>[6,7,2,5,1,4,3]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,3,7,6,4,2,1]=>[7,6,2,5,1,4,3]=>[7,6,2,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[5,4,1,2,3,6,7]=>[3,4,5,2,1,6,7]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,2,3,7,6]=>[3,4,5,2,1,7,6]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,2,6,3,7]=>[3,4,6,2,1,5,7]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,2,6,7,3]=>[3,4,7,2,1,5,6]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,2,7,3,6]=>[3,4,6,2,1,7,5]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,2,7,6,3]=>[3,4,7,2,1,6,5]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,3,2,6,7]=>[3,5,4,2,1,6,7]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,3,6,2,7]=>[3,6,4,2,1,5,7]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,3,6,7,2]=>[3,7,4,2,1,5,6]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,3,7,2,6]=>[3,6,4,2,1,7,5]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,3,7,6,2]=>[3,7,4,2,1,6,5]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,6,2,3,7]=>[3,5,6,2,1,4,7]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,6,2,7,3]=>[3,5,7,2,1,4,6]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,6,3,2,7]=>[3,6,5,2,1,4,7]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,6,3,7,2]=>[3,7,5,2,1,4,6]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,6,7,2,3]=>[3,6,7,2,1,4,5]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,6,7,3,2]=>[3,7,6,2,1,4,5]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,7,2,3,6]=>[3,5,6,2,1,7,4]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,7,2,6,3]=>[3,5,7,2,1,6,4]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,7,3,2,6]=>[3,6,5,2,1,7,4]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,7,3,6,2]=>[3,7,5,2,1,6,4]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,7,6,2,3]=>[3,6,7,2,1,5,4]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,1,7,6,3,2]=>[3,7,6,2,1,5,4]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,2,1,3,6,7]=>[4,3,5,2,1,6,7]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,2,1,3,7,6]=>[4,3,5,2,1,7,6]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,2,1,6,3,7]=>[4,3,6,2,1,5,7]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,2,1,6,7,3]=>[4,3,7,2,1,5,6]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,2,1,7,3,6]=>[4,3,6,2,1,7,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,2,1,7,6,3]=>[4,3,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,2,3,1,6,7]=>[5,3,4,2,1,6,7]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,2,3,1,7,6]=>[5,3,4,2,1,7,6]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,2,3,6,1,7]=>[6,3,4,2,1,5,7]=>[6,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,4,2,3,6,7,1]=>[7,3,4,2,1,5,6]=>[7,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,4,2,3,7,1,6]=>[6,3,4,2,1,7,5]=>[6,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,4,2,3,7,6,1]=>[7,3,4,2,1,6,5]=>[7,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,4,2,6,1,3,7]=>[5,3,6,2,1,4,7]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,2,6,1,7,3]=>[5,3,7,2,1,4,6]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,2,6,3,1,7]=>[6,3,5,2,1,4,7]=>[6,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,4,2,6,3,7,1]=>[7,3,5,2,1,4,6]=>[7,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,4,2,6,7,1,3]=>[6,3,7,2,1,4,5]=>[6,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,4,2,6,7,3,1]=>[7,3,6,2,1,4,5]=>[7,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,4,2,7,1,3,6]=>[5,3,6,2,1,7,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,2,7,1,6,3]=>[5,3,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,2,7,3,1,6]=>[6,3,5,2,1,7,4]=>[6,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,4,2,7,3,6,1]=>[7,3,5,2,1,6,4]=>[7,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,4,2,7,6,1,3]=>[6,3,7,2,1,5,4]=>[6,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,4,2,7,6,3,1]=>[7,3,6,2,1,5,4]=>[7,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,4,3,1,2,6,7]=>[4,5,3,2,1,6,7]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,3,1,2,7,6]=>[4,5,3,2,1,7,6]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,3,1,6,2,7]=>[4,6,3,2,1,5,7]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,3,1,6,7,2]=>[4,7,3,2,1,5,6]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,3,1,7,2,6]=>[4,6,3,2,1,7,5]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,3,1,7,6,2]=>[4,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,2,6,1,7]=>[6,4,3,2,1,5,7]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,3,2,6,7,1]=>[7,4,3,2,1,5,6]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,4,3,2,7,1,6]=>[6,4,3,2,1,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,3,2,7,6,1]=>[7,4,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,4,3,6,1,2,7]=>[5,6,3,2,1,4,7]=>[5,7,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,3,6,1,7,2]=>[5,7,3,2,1,4,6]=>[5,7,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,3,6,2,1,7]=>[6,5,3,2,1,4,7]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,3,6,2,7,1]=>[7,5,3,2,1,4,6]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,3,6,7,1,2]=>[6,7,3,2,1,4,5]=>[6,7,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,4,3,6,7,2,1]=>[7,6,3,2,1,4,5]=>[7,6,3,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,4,3,7,1,2,6]=>[5,6,3,2,1,7,4]=>[5,7,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,3,7,1,6,2]=>[5,7,3,2,1,6,4]=>[5,7,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,3,7,2,1,6]=>[6,5,3,2,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,3,7,2,6,1]=>[7,5,3,2,1,6,4]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,3,7,6,1,2]=>[6,7,3,2,1,5,4]=>[6,7,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,4,3,7,6,2,1]=>[7,6,3,2,1,5,4]=>[7,6,3,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,4,6,1,2,3,7]=>[4,5,6,2,1,3,7]=>[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,6,1,2,7,3]=>[4,5,7,2,1,3,6]=>[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,6,1,3,2,7]=>[4,6,5,2,1,3,7]=>[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,6,1,3,7,2]=>[4,7,5,2,1,3,6]=>[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,6,1,7,2,3]=>[4,6,7,2,1,3,5]=>[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,6,1,7,3,2]=>[4,7,6,2,1,3,5]=>[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,6,2,1,3,7]=>[5,4,6,2,1,3,7]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,6,2,1,7,3]=>[5,4,7,2,1,3,6]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,6,2,3,1,7]=>[6,4,5,2,1,3,7]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,4,6,2,3,7,1]=>[7,4,5,2,1,3,6]=>[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,6,2,7,1,3]=>[6,4,7,2,1,3,5]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,4,6,2,7,3,1]=>[7,4,6,2,1,3,5]=>[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,6,3,1,2,7]=>[5,6,4,2,1,3,7]=>[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,6,3,1,7,2]=>[5,7,4,2,1,3,6]=>[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,6,3,2,1,7]=>[6,5,4,2,1,3,7]=>[6,5,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,4,6,3,2,7,1]=>[7,5,4,2,1,3,6]=>[7,5,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,4,6,3,7,1,2]=>[6,7,4,2,1,3,5]=>[6,7,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,4,6,3,7,2,1]=>[7,6,4,2,1,3,5]=>[7,6,4,2,1,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[5,4,6,7,1,2,3]=>[5,6,7,2,1,3,4]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,4,6,7,1,3,2]=>[5,7,6,2,1,3,4]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,4,6,7,2,1,3]=>[6,5,7,2,1,3,4]=>[6,5,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,4,6,7,2,3,1]=>[7,5,6,2,1,3,4]=>[7,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[5,4,6,7,3,1,2]=>[6,7,5,2,1,3,4]=>[6,7,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,4,6,7,3,2,1]=>[7,6,5,2,1,3,4]=>[7,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],.]
[5,4,7,1,2,3,6]=>[4,5,6,2,1,7,3]=>[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,7,1,2,6,3]=>[4,5,7,2,1,6,3]=>[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,7,1,3,2,6]=>[4,6,5,2,1,7,3]=>[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,7,1,3,6,2]=>[4,7,5,2,1,6,3]=>[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,7,1,6,2,3]=>[4,6,7,2,1,5,3]=>[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,7,1,6,3,2]=>[4,7,6,2,1,5,3]=>[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,7,2,1,3,6]=>[5,4,6,2,1,7,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,7,2,3,1,6]=>[6,4,5,2,1,7,3]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,4,7,2,3,6,1]=>[7,4,5,2,1,6,3]=>[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,7,2,6,1,3]=>[6,4,7,2,1,5,3]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,4,7,2,6,3,1]=>[7,4,6,2,1,5,3]=>[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,7,3,1,2,6]=>[5,6,4,2,1,7,3]=>[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,7,3,1,6,2]=>[5,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,7,3,2,1,6]=>[6,5,4,2,1,7,3]=>[6,5,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,4,7,3,2,6,1]=>[7,5,4,2,1,6,3]=>[7,5,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,4,7,3,6,1,2]=>[6,7,4,2,1,5,3]=>[6,7,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,4,7,3,6,2,1]=>[7,6,4,2,1,5,3]=>[7,6,4,2,1,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[5,4,7,6,1,2,3]=>[5,6,7,2,1,4,3]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,4,7,6,1,3,2]=>[5,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,4,7,6,2,1,3]=>[6,5,7,2,1,4,3]=>[6,5,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,4,7,6,2,3,1]=>[7,5,6,2,1,4,3]=>[7,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[5,4,7,6,3,1,2]=>[6,7,5,2,1,4,3]=>[6,7,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,4,7,6,3,2,1]=>[7,6,5,2,1,4,3]=>[7,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],.]
[5,6,1,2,3,4,7]=>[3,4,5,6,1,2,7]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,2,3,7,4]=>[3,4,5,7,1,2,6]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,2,4,3,7]=>[3,4,6,5,1,2,7]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,2,4,7,3]=>[3,4,7,5,1,2,6]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,2,7,3,4]=>[3,4,6,7,1,2,5]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,2,7,4,3]=>[3,4,7,6,1,2,5]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,3,2,4,7]=>[3,5,4,6,1,2,7]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,3,2,7,4]=>[3,5,4,7,1,2,6]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,3,4,2,7]=>[3,6,4,5,1,2,7]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,3,4,7,2]=>[3,7,4,5,1,2,6]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,3,7,2,4]=>[3,6,4,7,1,2,5]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,3,7,4,2]=>[3,7,4,6,1,2,5]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,4,2,3,7]=>[3,5,6,4,1,2,7]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,4,2,7,3]=>[3,5,7,4,1,2,6]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,4,3,2,7]=>[3,6,5,4,1,2,7]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,4,3,7,2]=>[3,7,5,4,1,2,6]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,4,7,2,3]=>[3,6,7,4,1,2,5]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,4,7,3,2]=>[3,7,6,4,1,2,5]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,7,2,3,4]=>[3,5,6,7,1,2,4]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,7,2,4,3]=>[3,5,7,6,1,2,4]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,7,3,2,4]=>[3,6,5,7,1,2,4]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,7,3,4,2]=>[3,7,5,6,1,2,4]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,7,4,2,3]=>[3,6,7,5,1,2,4]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,1,7,4,3,2]=>[3,7,6,5,1,2,4]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,2,1,3,4,7]=>[4,3,5,6,1,2,7]=>[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,2,1,3,7,4]=>[4,3,5,7,1,2,6]=>[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,2,1,4,3,7]=>[4,3,6,5,1,2,7]=>[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,2,1,4,7,3]=>[4,3,7,5,1,2,6]=>[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,2,1,7,3,4]=>[4,3,6,7,1,2,5]=>[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,2,1,7,4,3]=>[4,3,7,6,1,2,5]=>[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,2,3,1,4,7]=>[5,3,4,6,1,2,7]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,2,3,1,7,4]=>[5,3,4,7,1,2,6]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,2,3,4,1,7]=>[6,3,4,5,1,2,7]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,6,2,3,4,7,1]=>[7,3,4,5,1,2,6]=>[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,6,2,3,7,1,4]=>[6,3,4,7,1,2,5]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,6,2,3,7,4,1]=>[7,3,4,6,1,2,5]=>[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,6,2,4,1,3,7]=>[5,3,6,4,1,2,7]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,2,4,1,7,3]=>[5,3,7,4,1,2,6]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,2,4,3,1,7]=>[6,3,5,4,1,2,7]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,6,2,4,3,7,1]=>[7,3,5,4,1,2,6]=>[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,6,2,4,7,1,3]=>[6,3,7,4,1,2,5]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,6,2,4,7,3,1]=>[7,3,6,4,1,2,5]=>[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,6,2,7,1,3,4]=>[5,3,6,7,1,2,4]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,2,7,1,4,3]=>[5,3,7,6,1,2,4]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,2,7,3,1,4]=>[6,3,5,7,1,2,4]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,6,2,7,3,4,1]=>[7,3,5,6,1,2,4]=>[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,6,2,7,4,1,3]=>[6,3,7,5,1,2,4]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,6,2,7,4,3,1]=>[7,3,6,5,1,2,4]=>[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,6,3,1,2,4,7]=>[4,5,3,6,1,2,7]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,3,1,2,7,4]=>[4,5,3,7,1,2,6]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,3,1,4,2,7]=>[4,6,3,5,1,2,7]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,3,1,4,7,2]=>[4,7,3,5,1,2,6]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,3,1,7,2,4]=>[4,6,3,7,1,2,5]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,3,1,7,4,2]=>[4,7,3,6,1,2,5]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,3,2,1,4,7]=>[5,4,3,6,1,2,7]=>[5,4,3,7,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,6,3,2,1,7,4]=>[5,4,3,7,1,2,6]=>[5,4,3,7,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,6,3,2,4,1,7]=>[6,4,3,5,1,2,7]=>[6,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,6,3,2,4,7,1]=>[7,4,3,5,1,2,6]=>[7,4,3,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,6,3,2,7,1,4]=>[6,4,3,7,1,2,5]=>[6,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,6,3,2,7,4,1]=>[7,4,3,6,1,2,5]=>[7,4,3,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,6,3,4,1,2,7]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,4,1,7,2]=>[5,7,3,4,1,2,6]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,4,2,1,7]=>[6,5,3,4,1,2,7]=>[6,5,3,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,6,3,4,2,7,1]=>[7,5,3,4,1,2,6]=>[7,5,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[5,6,3,4,7,1,2]=>[6,7,3,4,1,2,5]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,6,3,4,7,2,1]=>[7,6,3,4,1,2,5]=>[7,6,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[5,6,3,7,1,2,4]=>[5,6,3,7,1,2,4]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,7,1,4,2]=>[5,7,3,6,1,2,4]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,7,2,1,4]=>[6,5,3,7,1,2,4]=>[6,5,3,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,6,3,7,2,4,1]=>[7,5,3,6,1,2,4]=>[7,5,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[5,6,3,7,4,1,2]=>[6,7,3,5,1,2,4]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,6,3,7,4,2,1]=>[7,6,3,5,1,2,4]=>[7,6,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[5,6,4,1,2,3,7]=>[4,5,6,3,1,2,7]=>[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,4,1,2,7,3]=>[4,5,7,3,1,2,6]=>[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,4,1,3,2,7]=>[4,6,5,3,1,2,7]=>[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,4,1,3,7,2]=>[4,7,5,3,1,2,6]=>[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,4,1,7,2,3]=>[4,6,7,3,1,2,5]=>[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,4,1,7,3,2]=>[4,7,6,3,1,2,5]=>[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,4,2,1,3,7]=>[5,4,6,3,1,2,7]=>[5,4,7,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,6,4,2,1,7,3]=>[5,4,7,3,1,2,6]=>[5,4,7,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,6,4,2,3,1,7]=>[6,4,5,3,1,2,7]=>[6,4,7,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,6,4,2,3,7,1]=>[7,4,5,3,1,2,6]=>[7,4,6,3,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,6,4,2,7,1,3]=>[6,4,7,3,1,2,5]=>[6,4,7,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,6,4,2,7,3,1]=>[7,4,6,3,1,2,5]=>[7,4,6,3,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,6,4,3,1,2,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,6,4,3,1,7,2]=>[5,7,4,3,1,2,6]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,6,4,3,2,1,7]=>[6,5,4,3,1,2,7]=>[6,5,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,6,4,3,2,7,1]=>[7,5,4,3,1,2,6]=>[7,5,4,3,1,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[5,6,4,3,7,1,2]=>[6,7,4,3,1,2,5]=>[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,6,4,3,7,2,1]=>[7,6,4,3,1,2,5]=>[7,6,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[5,6,4,7,1,2,3]=>[5,6,7,3,1,2,4]=>[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,4,7,1,3,2]=>[5,7,6,3,1,2,4]=>[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,4,7,2,1,3]=>[6,5,7,3,1,2,4]=>[6,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,6,4,7,2,3,1]=>[7,5,6,3,1,2,4]=>[7,5,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[5,6,4,7,3,1,2]=>[6,7,5,3,1,2,4]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,6,4,7,3,2,1]=>[7,6,5,3,1,2,4]=>[7,6,5,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[5,6,7,1,2,3,4]=>[4,5,6,7,1,2,3]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,7,1,2,4,3]=>[4,5,7,6,1,2,3]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,7,1,3,2,4]=>[4,6,5,7,1,2,3]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,7,1,3,4,2]=>[4,7,5,6,1,2,3]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,7,1,4,2,3]=>[4,6,7,5,1,2,3]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,7,1,4,3,2]=>[4,7,6,5,1,2,3]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,7,2,1,3,4]=>[5,4,6,7,1,2,3]=>[5,4,7,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,7,2,1,4,3]=>[5,4,7,6,1,2,3]=>[5,4,7,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,7,2,3,1,4]=>[6,4,5,7,1,2,3]=>[6,4,7,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,6,7,2,3,4,1]=>[7,4,5,6,1,2,3]=>[7,4,6,5,1,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,6,7,2,4,1,3]=>[6,4,7,5,1,2,3]=>[6,4,7,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,6,7,2,4,3,1]=>[7,4,6,5,1,2,3]=>[7,4,6,5,1,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,6,7,3,1,2,4]=>[5,6,4,7,1,2,3]=>[5,7,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,7,3,1,4,2]=>[5,7,4,6,1,2,3]=>[5,7,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,7,3,2,1,4]=>[6,5,4,7,1,2,3]=>[6,5,4,7,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[5,6,7,3,2,4,1]=>[7,5,4,6,1,2,3]=>[7,5,4,6,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[5,6,7,3,4,1,2]=>[6,7,4,5,1,2,3]=>[6,7,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,6,7,3,4,2,1]=>[7,6,4,5,1,2,3]=>[7,6,4,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[5,6,7,4,1,2,3]=>[5,6,7,4,1,2,3]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,7,4,1,3,2]=>[5,7,6,4,1,2,3]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,7,4,2,1,3]=>[6,5,7,4,1,2,3]=>[6,5,7,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[5,6,7,4,2,3,1]=>[7,5,6,4,1,2,3]=>[7,5,6,4,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[5,6,7,4,3,1,2]=>[6,7,5,4,1,2,3]=>[6,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[5,6,7,4,3,2,1]=>[7,6,5,4,1,2,3]=>[7,6,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],.]
[5,7,1,2,3,4,6]=>[3,4,5,6,1,7,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,2,3,6,4]=>[3,4,5,7,1,6,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,2,4,3,6]=>[3,4,6,5,1,7,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,2,4,6,3]=>[3,4,7,5,1,6,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,2,6,3,4]=>[3,4,6,7,1,5,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,2,6,4,3]=>[3,4,7,6,1,5,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,3,2,4,6]=>[3,5,4,6,1,7,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,3,2,6,4]=>[3,5,4,7,1,6,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,3,4,2,6]=>[3,6,4,5,1,7,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,3,4,6,2]=>[3,7,4,5,1,6,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,3,6,2,4]=>[3,6,4,7,1,5,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,3,6,4,2]=>[3,7,4,6,1,5,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,4,2,3,6]=>[3,5,6,4,1,7,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,4,2,6,3]=>[3,5,7,4,1,6,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,4,3,2,6]=>[3,6,5,4,1,7,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,4,3,6,2]=>[3,7,5,4,1,6,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,4,6,2,3]=>[3,6,7,4,1,5,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,4,6,3,2]=>[3,7,6,4,1,5,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,6,2,3,4]=>[3,5,6,7,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,6,2,4,3]=>[3,5,7,6,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,6,3,2,4]=>[3,6,5,7,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,6,3,4,2]=>[3,7,5,6,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,6,4,2,3]=>[3,6,7,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,1,6,4,3,2]=>[3,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,2,1,3,4,6]=>[4,3,5,6,1,7,2]=>[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,2,1,3,6,4]=>[4,3,5,7,1,6,2]=>[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,2,1,4,3,6]=>[4,3,6,5,1,7,2]=>[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,2,1,4,6,3]=>[4,3,7,5,1,6,2]=>[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,2,1,6,3,4]=>[4,3,6,7,1,5,2]=>[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,2,1,6,4,3]=>[4,3,7,6,1,5,2]=>[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,2,3,1,4,6]=>[5,3,4,6,1,7,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,2,3,1,6,4]=>[5,3,4,7,1,6,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,2,3,4,1,6]=>[6,3,4,5,1,7,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,2,3,4,6,1]=>[7,3,4,5,1,6,2]=>[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,7,2,3,6,1,4]=>[6,3,4,7,1,5,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,2,3,6,4,1]=>[7,3,4,6,1,5,2]=>[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,7,2,4,1,3,6]=>[5,3,6,4,1,7,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,2,4,1,6,3]=>[5,3,7,4,1,6,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,2,4,3,1,6]=>[6,3,5,4,1,7,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,2,4,3,6,1]=>[7,3,5,4,1,6,2]=>[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,7,2,4,6,1,3]=>[6,3,7,4,1,5,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,2,4,6,3,1]=>[7,3,6,4,1,5,2]=>[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,7,2,6,1,3,4]=>[5,3,6,7,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,2,6,1,4,3]=>[5,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,2,6,3,1,4]=>[6,3,5,7,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,2,6,3,4,1]=>[7,3,5,6,1,4,2]=>[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,7,2,6,4,1,3]=>[6,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,2,6,4,3,1]=>[7,3,6,5,1,4,2]=>[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,7,3,1,2,4,6]=>[4,5,3,6,1,7,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,3,1,2,6,4]=>[4,5,3,7,1,6,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,3,1,4,2,6]=>[4,6,3,5,1,7,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,3,1,4,6,2]=>[4,7,3,5,1,6,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,3,1,6,2,4]=>[4,6,3,7,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,3,1,6,4,2]=>[4,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,3,2,1,4,6]=>[5,4,3,6,1,7,2]=>[5,4,3,7,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,7,3,2,1,6,4]=>[5,4,3,7,1,6,2]=>[5,4,3,7,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,7,3,2,4,1,6]=>[6,4,3,5,1,7,2]=>[6,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,7,3,2,4,6,1]=>[7,4,3,5,1,6,2]=>[7,4,3,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,3,2,6,1,4]=>[6,4,3,7,1,5,2]=>[6,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,7,3,2,6,4,1]=>[7,4,3,6,1,5,2]=>[7,4,3,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,3,4,1,2,6]=>[5,6,3,4,1,7,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,4,1,6,2]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,4,2,1,6]=>[6,5,3,4,1,7,2]=>[6,5,3,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,7,3,4,2,6,1]=>[7,5,3,4,1,6,2]=>[7,5,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[5,7,3,4,6,1,2]=>[6,7,3,4,1,5,2]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,3,4,6,2,1]=>[7,6,3,4,1,5,2]=>[7,6,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[5,7,3,6,1,2,4]=>[5,6,3,7,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,6,2,1,4]=>[6,5,3,7,1,4,2]=>[6,5,3,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,7,3,6,2,4,1]=>[7,5,3,6,1,4,2]=>[7,5,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[5,7,3,6,4,1,2]=>[6,7,3,5,1,4,2]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,3,6,4,2,1]=>[7,6,3,5,1,4,2]=>[7,6,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[5,7,4,1,2,3,6]=>[4,5,6,3,1,7,2]=>[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,4,1,2,6,3]=>[4,5,7,3,1,6,2]=>[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,4,1,3,2,6]=>[4,6,5,3,1,7,2]=>[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,4,1,3,6,2]=>[4,7,5,3,1,6,2]=>[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,4,1,6,2,3]=>[4,6,7,3,1,5,2]=>[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,4,1,6,3,2]=>[4,7,6,3,1,5,2]=>[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,4,2,1,3,6]=>[5,4,6,3,1,7,2]=>[5,4,7,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,7,4,2,1,6,3]=>[5,4,7,3,1,6,2]=>[5,4,7,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,7,4,2,3,1,6]=>[6,4,5,3,1,7,2]=>[6,4,7,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,7,4,2,3,6,1]=>[7,4,5,3,1,6,2]=>[7,4,6,3,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,4,2,6,1,3]=>[6,4,7,3,1,5,2]=>[6,4,7,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,7,4,2,6,3,1]=>[7,4,6,3,1,5,2]=>[7,4,6,3,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,4,3,1,2,6]=>[5,6,4,3,1,7,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,7,4,3,2,1,6]=>[6,5,4,3,1,7,2]=>[6,5,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,4,3,2,6,1]=>[7,5,4,3,1,6,2]=>[7,5,4,3,1,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[5,7,4,3,6,1,2]=>[6,7,4,3,1,5,2]=>[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,7,4,3,6,2,1]=>[7,6,4,3,1,5,2]=>[7,6,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[5,7,4,6,1,2,3]=>[5,6,7,3,1,4,2]=>[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,4,6,1,3,2]=>[5,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,4,6,2,1,3]=>[6,5,7,3,1,4,2]=>[6,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,7,4,6,2,3,1]=>[7,5,6,3,1,4,2]=>[7,5,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[5,7,4,6,3,1,2]=>[6,7,5,3,1,4,2]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,7,4,6,3,2,1]=>[7,6,5,3,1,4,2]=>[7,6,5,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[5,7,6,1,2,3,4]=>[4,5,6,7,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,7,6,1,2,4,3]=>[4,5,7,6,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,7,6,1,3,2,4]=>[4,6,5,7,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,7,6,1,3,4,2]=>[4,7,5,6,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,7,6,1,4,2,3]=>[4,6,7,5,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,7,6,1,4,3,2]=>[4,7,6,5,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,7,6,2,1,3,4]=>[5,4,6,7,1,3,2]=>[5,4,7,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,6,2,1,4,3]=>[5,4,7,6,1,3,2]=>[5,4,7,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,6,2,3,1,4]=>[6,4,5,7,1,3,2]=>[6,4,7,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,7,6,2,3,4,1]=>[7,4,5,6,1,3,2]=>[7,4,6,5,1,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,6,2,4,1,3]=>[6,4,7,5,1,3,2]=>[6,4,7,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,7,6,2,4,3,1]=>[7,4,6,5,1,3,2]=>[7,4,6,5,1,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,6,3,1,2,4]=>[5,6,4,7,1,3,2]=>[5,7,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,6,3,1,4,2]=>[5,7,4,6,1,3,2]=>[5,7,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,6,3,2,1,4]=>[6,5,4,7,1,3,2]=>[6,5,4,7,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[5,7,6,3,2,4,1]=>[7,5,4,6,1,3,2]=>[7,5,4,6,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[5,7,6,3,4,1,2]=>[6,7,4,5,1,3,2]=>[6,7,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,7,6,3,4,2,1]=>[7,6,4,5,1,3,2]=>[7,6,4,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[5,7,6,4,1,2,3]=>[5,6,7,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,6,4,2,1,3]=>[6,5,7,4,1,3,2]=>[6,5,7,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[5,7,6,4,2,3,1]=>[7,5,6,4,1,3,2]=>[7,5,6,4,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[5,7,6,4,3,1,2]=>[6,7,5,4,1,3,2]=>[6,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[5,7,6,4,3,2,1]=>[7,6,5,4,1,3,2]=>[7,6,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],.]
[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,3,4,7,5]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,3,5,4,7]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,3,5,7,4]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,3,7,4,5]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,3,7,5,4]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,4,3,5,7]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,4,3,7,5]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,4,5,3,7]=>[2,3,6,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,4,5,7,3]=>[2,3,7,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,4,7,3,5]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,4,7,5,3]=>[2,3,7,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,5,3,4,7]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,5,3,7,4]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,5,4,3,7]=>[2,3,6,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,5,4,7,3]=>[2,3,7,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,5,7,3,4]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,5,7,4,3]=>[2,3,7,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,7,3,4,5]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,7,3,5,4]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,7,4,3,5]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,7,4,5,3]=>[2,3,7,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,7,5,3,4]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,7,5,4,3]=>[2,3,7,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,2,4,5,7]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,2,4,7,5]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,2,5,4,7]=>[2,4,3,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,2,5,7,4]=>[2,4,3,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,2,7,4,5]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,2,7,5,4]=>[2,4,3,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,4,2,5,7]=>[2,5,3,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,4,2,7,5]=>[2,5,3,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,4,5,2,7]=>[2,6,3,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,4,5,7,2]=>[2,7,3,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,4,7,2,5]=>[2,6,3,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,4,7,5,2]=>[2,7,3,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,5,2,4,7]=>[2,5,3,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,5,2,7,4]=>[2,5,3,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,5,4,2,7]=>[2,6,3,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,5,4,7,2]=>[2,7,3,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,5,7,2,4]=>[2,6,3,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,5,7,4,2]=>[2,7,3,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,7,2,4,5]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,7,2,5,4]=>[2,5,3,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,7,4,2,5]=>[2,6,3,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,7,4,5,2]=>[2,7,3,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,7,5,2,4]=>[2,6,3,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,7,5,4,2]=>[2,7,3,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,2,3,5,7]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,2,3,7,5]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,2,5,3,7]=>[2,4,6,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,2,5,7,3]=>[2,4,7,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,2,7,3,5]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,2,7,5,3]=>[2,4,7,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,3,2,5,7]=>[2,5,4,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,3,2,7,5]=>[2,5,4,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,3,5,2,7]=>[2,6,4,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,3,5,7,2]=>[2,7,4,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,3,7,2,5]=>[2,6,4,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,3,7,5,2]=>[2,7,4,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,5,2,3,7]=>[2,5,6,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,5,2,7,3]=>[2,5,7,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,5,3,2,7]=>[2,6,5,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,5,3,7,2]=>[2,7,5,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,5,7,2,3]=>[2,6,7,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,5,7,3,2]=>[2,7,6,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,7,2,3,5]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,7,2,5,3]=>[2,5,7,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,7,3,2,5]=>[2,6,5,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,7,3,5,2]=>[2,7,5,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,7,5,2,3]=>[2,6,7,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,7,5,3,2]=>[2,7,6,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,2,3,4,7]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,2,3,7,4]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,2,4,3,7]=>[2,4,6,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,2,4,7,3]=>[2,4,7,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,2,7,3,4]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,2,7,4,3]=>[2,4,7,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,3,2,4,7]=>[2,5,4,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,3,2,7,4]=>[2,5,4,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,3,4,2,7]=>[2,6,4,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,3,4,7,2]=>[2,7,4,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,3,7,2,4]=>[2,6,4,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,3,7,4,2]=>[2,7,4,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,4,2,3,7]=>[2,5,6,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,4,2,7,3]=>[2,5,7,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,4,3,2,7]=>[2,6,5,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,4,3,7,2]=>[2,7,5,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,4,7,2,3]=>[2,6,7,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,4,7,3,2]=>[2,7,6,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,7,2,3,4]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,7,2,4,3]=>[2,5,7,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,7,3,2,4]=>[2,6,5,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,7,3,4,2]=>[2,7,5,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,7,4,2,3]=>[2,6,7,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,7,4,3,2]=>[2,7,6,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,2,3,4,5]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,2,3,5,4]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,2,4,3,5]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,2,4,5,3]=>[2,4,7,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,2,5,3,4]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,2,5,4,3]=>[2,4,7,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,3,2,4,5]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,3,2,5,4]=>[2,5,4,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,3,4,2,5]=>[2,6,4,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,3,4,5,2]=>[2,7,4,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,3,5,2,4]=>[2,6,4,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,3,5,4,2]=>[2,7,4,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,4,2,3,5]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,4,2,5,3]=>[2,5,7,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,4,3,2,5]=>[2,6,5,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,4,3,5,2]=>[2,7,5,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,4,5,2,3]=>[2,6,7,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,4,5,3,2]=>[2,7,6,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,5,2,3,4]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,5,2,4,3]=>[2,5,7,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,5,3,2,4]=>[2,6,5,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,5,3,4,2]=>[2,7,5,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,5,4,2,3]=>[2,6,7,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,5,4,3,2]=>[2,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,3,4,5,7]=>[3,2,4,5,6,1,7]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,3,4,7,5]=>[3,2,4,5,7,1,6]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,3,5,4,7]=>[3,2,4,6,5,1,7]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,3,5,7,4]=>[3,2,4,7,5,1,6]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,3,7,4,5]=>[3,2,4,6,7,1,5]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,3,7,5,4]=>[3,2,4,7,6,1,5]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,4,3,5,7]=>[3,2,5,4,6,1,7]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,4,3,7,5]=>[3,2,5,4,7,1,6]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,4,5,3,7]=>[3,2,6,4,5,1,7]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,4,5,7,3]=>[3,2,7,4,5,1,6]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,4,7,3,5]=>[3,2,6,4,7,1,5]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,4,7,5,3]=>[3,2,7,4,6,1,5]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,5,3,4,7]=>[3,2,5,6,4,1,7]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,5,3,7,4]=>[3,2,5,7,4,1,6]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,5,4,3,7]=>[3,2,6,5,4,1,7]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,5,4,7,3]=>[3,2,7,5,4,1,6]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,5,7,3,4]=>[3,2,6,7,4,1,5]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,5,7,4,3]=>[3,2,7,6,4,1,5]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,7,3,4,5]=>[3,2,5,6,7,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,7,3,5,4]=>[3,2,5,7,6,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,7,4,3,5]=>[3,2,6,5,7,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,7,4,5,3]=>[3,2,7,5,6,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,7,5,3,4]=>[3,2,6,7,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,1,7,5,4,3]=>[3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,2,3,1,4,5,7]=>[4,2,3,5,6,1,7]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,3,1,4,7,5]=>[4,2,3,5,7,1,6]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,3,1,5,4,7]=>[4,2,3,6,5,1,7]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,3,1,5,7,4]=>[4,2,3,7,5,1,6]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,3,1,7,4,5]=>[4,2,3,6,7,1,5]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,3,1,7,5,4]=>[4,2,3,7,6,1,5]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,3,4,1,5,7]=>[5,2,3,4,6,1,7]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,3,4,1,7,5]=>[5,2,3,4,7,1,6]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,3,4,5,1,7]=>[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,4,5,7,1]=>[7,2,3,4,5,1,6]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,3,4,7,1,5]=>[6,2,3,4,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,4,7,5,1]=>[7,2,3,4,6,1,5]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,3,5,1,4,7]=>[5,2,3,6,4,1,7]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,3,5,1,7,4]=>[5,2,3,7,4,1,6]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,3,5,4,1,7]=>[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,5,4,7,1]=>[7,2,3,5,4,1,6]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,3,5,7,1,4]=>[6,2,3,7,4,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,5,7,4,1]=>[7,2,3,6,4,1,5]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,3,7,1,4,5]=>[5,2,3,6,7,1,4]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,3,7,1,5,4]=>[5,2,3,7,6,1,4]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,3,7,4,1,5]=>[6,2,3,5,7,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,7,4,5,1]=>[7,2,3,5,6,1,4]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,3,7,5,1,4]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,7,5,4,1]=>[7,2,3,6,5,1,4]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,4,1,3,5,7]=>[4,2,5,3,6,1,7]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,4,1,3,7,5]=>[4,2,5,3,7,1,6]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,4,1,5,3,7]=>[4,2,6,3,5,1,7]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,4,1,5,7,3]=>[4,2,7,3,5,1,6]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,4,1,7,3,5]=>[4,2,6,3,7,1,5]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,4,1,7,5,3]=>[4,2,7,3,6,1,5]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,4,3,1,5,7]=>[5,2,4,3,6,1,7]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,4,3,1,7,5]=>[5,2,4,3,7,1,6]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,4,3,5,1,7]=>[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,3,5,7,1]=>[7,2,4,3,5,1,6]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,4,3,7,1,5]=>[6,2,4,3,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,3,7,5,1]=>[7,2,4,3,6,1,5]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,4,5,1,3,7]=>[5,2,6,3,4,1,7]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,4,5,1,7,3]=>[5,2,7,3,4,1,6]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,4,5,3,1,7]=>[6,2,5,3,4,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,5,3,7,1]=>[7,2,5,3,4,1,6]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,4,5,7,1,3]=>[6,2,7,3,4,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,5,7,3,1]=>[7,2,6,3,4,1,5]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,4,7,1,3,5]=>[5,2,6,3,7,1,4]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,4,7,1,5,3]=>[5,2,7,3,6,1,4]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,4,7,3,1,5]=>[6,2,5,3,7,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,7,3,5,1]=>[7,2,5,3,6,1,4]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,4,7,5,1,3]=>[6,2,7,3,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,7,5,3,1]=>[7,2,6,3,5,1,4]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,5,1,3,4,7]=>[4,2,5,6,3,1,7]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,5,1,3,7,4]=>[4,2,5,7,3,1,6]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,5,1,4,3,7]=>[4,2,6,5,3,1,7]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,5,1,4,7,3]=>[4,2,7,5,3,1,6]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,5,1,7,3,4]=>[4,2,6,7,3,1,5]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,5,1,7,4,3]=>[4,2,7,6,3,1,5]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,5,3,1,4,7]=>[5,2,4,6,3,1,7]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,5,3,1,7,4]=>[5,2,4,7,3,1,6]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,5,3,4,1,7]=>[6,2,4,5,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,3,4,7,1]=>[7,2,4,5,3,1,6]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,5,3,7,1,4]=>[6,2,4,7,3,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,3,7,4,1]=>[7,2,4,6,3,1,5]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,5,4,1,3,7]=>[5,2,6,4,3,1,7]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,5,4,1,7,3]=>[5,2,7,4,3,1,6]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,5,4,3,1,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,4,3,7,1]=>[7,2,5,4,3,1,6]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,5,4,7,1,3]=>[6,2,7,4,3,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,4,7,3,1]=>[7,2,6,4,3,1,5]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,5,7,1,3,4]=>[5,2,6,7,3,1,4]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,5,7,1,4,3]=>[5,2,7,6,3,1,4]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,5,7,3,1,4]=>[6,2,5,7,3,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,7,3,4,1]=>[7,2,5,6,3,1,4]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,5,7,4,1,3]=>[6,2,7,5,3,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,7,4,3,1]=>[7,2,6,5,3,1,4]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,7,1,3,4,5]=>[4,2,5,6,7,1,3]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,7,1,3,5,4]=>[4,2,5,7,6,1,3]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,7,1,4,3,5]=>[4,2,6,5,7,1,3]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,7,1,4,5,3]=>[4,2,7,5,6,1,3]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,7,1,5,3,4]=>[4,2,6,7,5,1,3]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,7,1,5,4,3]=>[4,2,7,6,5,1,3]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,7,3,1,4,5]=>[5,2,4,6,7,1,3]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,7,3,1,5,4]=>[5,2,4,7,6,1,3]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,7,3,4,1,5]=>[6,2,4,5,7,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,3,4,5,1]=>[7,2,4,5,6,1,3]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,7,3,5,1,4]=>[6,2,4,7,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,3,5,4,1]=>[7,2,4,6,5,1,3]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,7,4,1,3,5]=>[5,2,6,4,7,1,3]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,7,4,1,5,3]=>[5,2,7,4,6,1,3]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,7,4,3,1,5]=>[6,2,5,4,7,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,4,3,5,1]=>[7,2,5,4,6,1,3]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,7,4,5,1,3]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,4,5,3,1]=>[7,2,6,4,5,1,3]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,7,5,1,3,4]=>[5,2,6,7,4,1,3]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,7,5,1,4,3]=>[5,2,7,6,4,1,3]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,7,5,3,1,4]=>[6,2,5,7,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,5,3,4,1]=>[7,2,5,6,4,1,3]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,5,4,3,1]=>[7,2,6,5,4,1,3]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,3,1,2,4,5,7]=>[3,4,2,5,6,1,7]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,2,4,7,5]=>[3,4,2,5,7,1,6]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,2,5,4,7]=>[3,4,2,6,5,1,7]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,2,5,7,4]=>[3,4,2,7,5,1,6]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,2,7,4,5]=>[3,4,2,6,7,1,5]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,2,7,5,4]=>[3,4,2,7,6,1,5]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,4,2,5,7]=>[3,5,2,4,6,1,7]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,4,2,7,5]=>[3,5,2,4,7,1,6]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,4,5,2,7]=>[3,6,2,4,5,1,7]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,4,5,7,2]=>[3,7,2,4,5,1,6]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,4,7,2,5]=>[3,6,2,4,7,1,5]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,4,7,5,2]=>[3,7,2,4,6,1,5]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,5,2,4,7]=>[3,5,2,6,4,1,7]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,5,2,7,4]=>[3,5,2,7,4,1,6]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,5,4,2,7]=>[3,6,2,5,4,1,7]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,5,4,7,2]=>[3,7,2,5,4,1,6]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,5,7,2,4]=>[3,6,2,7,4,1,5]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,5,7,4,2]=>[3,7,2,6,4,1,5]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,7,2,4,5]=>[3,5,2,6,7,1,4]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,7,2,5,4]=>[3,5,2,7,6,1,4]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,7,4,2,5]=>[3,6,2,5,7,1,4]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,7,4,5,2]=>[3,7,2,5,6,1,4]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,7,5,2,4]=>[3,6,2,7,5,1,4]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,1,7,5,4,2]=>[3,7,2,6,5,1,4]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,2,1,4,5,7]=>[4,3,2,5,6,1,7]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,3,2,1,4,7,5]=>[4,3,2,5,7,1,6]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,3,2,1,5,4,7]=>[4,3,2,6,5,1,7]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,3,2,1,5,7,4]=>[4,3,2,7,5,1,6]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,3,2,1,7,4,5]=>[4,3,2,6,7,1,5]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,3,2,1,7,5,4]=>[4,3,2,7,6,1,5]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,3,2,4,1,5,7]=>[5,3,2,4,6,1,7]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,2,4,1,7,5]=>[5,3,2,4,7,1,6]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,2,4,5,1,7]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,4,5,7,1]=>[7,3,2,4,5,1,6]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,3,2,4,7,1,5]=>[6,3,2,4,7,1,5]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,4,7,5,1]=>[7,3,2,4,6,1,5]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,3,2,5,1,4,7]=>[5,3,2,6,4,1,7]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,2,5,1,7,4]=>[5,3,2,7,4,1,6]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,2,5,4,1,7]=>[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,5,4,7,1]=>[7,3,2,5,4,1,6]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,3,2,5,7,1,4]=>[6,3,2,7,4,1,5]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,5,7,4,1]=>[7,3,2,6,4,1,5]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,3,2,7,1,4,5]=>[5,3,2,6,7,1,4]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,2,7,1,5,4]=>[5,3,2,7,6,1,4]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,2,7,4,1,5]=>[6,3,2,5,7,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,7,4,5,1]=>[7,3,2,5,6,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,7,5,4,1]=>[7,3,2,6,5,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,3,4,1,2,5,7]=>[4,5,2,3,6,1,7]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,4,1,2,7,5]=>[4,5,2,3,7,1,6]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,4,1,5,2,7]=>[4,6,2,3,5,1,7]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,4,1,5,7,2]=>[4,7,2,3,5,1,6]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,4,1,7,2,5]=>[4,6,2,3,7,1,5]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,4,1,7,5,2]=>[4,7,2,3,6,1,5]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,4,2,1,5,7]=>[5,4,2,3,6,1,7]=>[5,4,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,4,2,1,7,5]=>[5,4,2,3,7,1,6]=>[5,4,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,4,2,5,1,7]=>[6,4,2,3,5,1,7]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,3,4,2,5,7,1]=>[7,4,2,3,5,1,6]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,3,4,2,7,1,5]=>[6,4,2,3,7,1,5]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,3,4,2,7,5,1]=>[7,4,2,3,6,1,5]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,3,4,5,1,2,7]=>[5,6,2,3,4,1,7]=>[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,4,5,1,7,2]=>[5,7,2,3,4,1,6]=>[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,4,5,2,1,7]=>[6,5,2,3,4,1,7]=>[6,5,2,7,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,3,4,5,2,7,1]=>[7,5,2,3,4,1,6]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,3,4,5,7,1,2]=>[6,7,2,3,4,1,5]=>[6,7,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,4,5,7,2,1]=>[7,6,2,3,4,1,5]=>[7,6,2,5,4,1,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[6,3,4,7,1,2,5]=>[5,6,2,3,7,1,4]=>[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,4,7,1,5,2]=>[5,7,2,3,6,1,4]=>[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,4,7,2,1,5]=>[6,5,2,3,7,1,4]=>[6,5,2,7,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,3,4,7,2,5,1]=>[7,5,2,3,6,1,4]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,3,4,7,5,1,2]=>[6,7,2,3,5,1,4]=>[6,7,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,4,7,5,2,1]=>[7,6,2,3,5,1,4]=>[7,6,2,5,4,1,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[6,3,5,1,2,4,7]=>[4,5,2,6,3,1,7]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,5,1,2,7,4]=>[4,5,2,7,3,1,6]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,5,1,4,2,7]=>[4,6,2,5,3,1,7]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,5,1,4,7,2]=>[4,7,2,5,3,1,6]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,5,1,7,2,4]=>[4,6,2,7,3,1,5]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,5,1,7,4,2]=>[4,7,2,6,3,1,5]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,5,2,1,4,7]=>[5,4,2,6,3,1,7]=>[5,4,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,5,2,1,7,4]=>[5,4,2,7,3,1,6]=>[5,4,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,5,2,4,1,7]=>[6,4,2,5,3,1,7]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,3,5,2,4,7,1]=>[7,4,2,5,3,1,6]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,3,5,2,7,1,4]=>[6,4,2,7,3,1,5]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,3,5,2,7,4,1]=>[7,4,2,6,3,1,5]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,3,5,4,1,2,7]=>[5,6,2,4,3,1,7]=>[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,5,4,1,7,2]=>[5,7,2,4,3,1,6]=>[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,5,4,2,1,7]=>[6,5,2,4,3,1,7]=>[6,5,2,7,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,3,5,4,2,7,1]=>[7,5,2,4,3,1,6]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,3,5,4,7,1,2]=>[6,7,2,4,3,1,5]=>[6,7,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,5,4,7,2,1]=>[7,6,2,4,3,1,5]=>[7,6,2,5,4,1,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[6,3,5,7,1,2,4]=>[5,6,2,7,3,1,4]=>[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,5,7,1,4,2]=>[5,7,2,6,3,1,4]=>[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,5,7,2,1,4]=>[6,5,2,7,3,1,4]=>[6,5,2,7,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,3,5,7,2,4,1]=>[7,5,2,6,3,1,4]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,3,5,7,4,1,2]=>[6,7,2,5,3,1,4]=>[6,7,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,5,7,4,2,1]=>[7,6,2,5,3,1,4]=>[7,6,2,5,4,1,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[6,3,7,1,2,4,5]=>[4,5,2,6,7,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,7,1,2,5,4]=>[4,5,2,7,6,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,7,1,4,2,5]=>[4,6,2,5,7,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,7,1,4,5,2]=>[4,7,2,5,6,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,7,1,5,2,4]=>[4,6,2,7,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,7,1,5,4,2]=>[4,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,7,2,1,4,5]=>[5,4,2,6,7,1,3]=>[5,4,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,7,2,1,5,4]=>[5,4,2,7,6,1,3]=>[5,4,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,7,2,4,1,5]=>[6,4,2,5,7,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,3,7,2,4,5,1]=>[7,4,2,5,6,1,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,3,7,2,5,1,4]=>[6,4,2,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,3,7,2,5,4,1]=>[7,4,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,3,7,4,1,2,5]=>[5,6,2,4,7,1,3]=>[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,7,4,1,5,2]=>[5,7,2,4,6,1,3]=>[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,7,4,2,1,5]=>[6,5,2,4,7,1,3]=>[6,5,2,7,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,3,7,4,2,5,1]=>[7,5,2,4,6,1,3]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,3,7,4,5,1,2]=>[6,7,2,4,5,1,3]=>[6,7,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,7,4,5,2,1]=>[7,6,2,4,5,1,3]=>[7,6,2,5,4,1,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[6,3,7,5,1,2,4]=>[5,6,2,7,4,1,3]=>[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,7,5,1,4,2]=>[5,7,2,6,4,1,3]=>[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,7,5,2,1,4]=>[6,5,2,7,4,1,3]=>[6,5,2,7,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,3,7,5,2,4,1]=>[7,5,2,6,4,1,3]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,3,7,5,4,1,2]=>[6,7,2,5,4,1,3]=>[6,7,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,7,5,4,2,1]=>[7,6,2,5,4,1,3]=>[7,6,2,5,4,1,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[6,4,1,2,3,5,7]=>[3,4,5,2,6,1,7]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,2,3,7,5]=>[3,4,5,2,7,1,6]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,2,5,3,7]=>[3,4,6,2,5,1,7]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,2,5,7,3]=>[3,4,7,2,5,1,6]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,2,7,3,5]=>[3,4,6,2,7,1,5]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,2,7,5,3]=>[3,4,7,2,6,1,5]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,3,2,5,7]=>[3,5,4,2,6,1,7]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,3,2,7,5]=>[3,5,4,2,7,1,6]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,3,5,2,7]=>[3,6,4,2,5,1,7]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,3,5,7,2]=>[3,7,4,2,5,1,6]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,3,7,2,5]=>[3,6,4,2,7,1,5]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,3,7,5,2]=>[3,7,4,2,6,1,5]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,5,2,3,7]=>[3,5,6,2,4,1,7]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,5,2,7,3]=>[3,5,7,2,4,1,6]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,5,3,2,7]=>[3,6,5,2,4,1,7]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,5,3,7,2]=>[3,7,5,2,4,1,6]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,5,7,2,3]=>[3,6,7,2,4,1,5]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,5,7,3,2]=>[3,7,6,2,4,1,5]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,7,2,3,5]=>[3,5,6,2,7,1,4]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,7,2,5,3]=>[3,5,7,2,6,1,4]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,7,3,2,5]=>[3,6,5,2,7,1,4]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,7,3,5,2]=>[3,7,5,2,6,1,4]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,7,5,2,3]=>[3,6,7,2,5,1,4]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,1,7,5,3,2]=>[3,7,6,2,5,1,4]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,2,1,3,5,7]=>[4,3,5,2,6,1,7]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,2,1,3,7,5]=>[4,3,5,2,7,1,6]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,2,1,5,3,7]=>[4,3,6,2,5,1,7]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,2,1,5,7,3]=>[4,3,7,2,5,1,6]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,2,1,7,3,5]=>[4,3,6,2,7,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,2,1,7,5,3]=>[4,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,2,3,1,5,7]=>[5,3,4,2,6,1,7]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,2,3,1,7,5]=>[5,3,4,2,7,1,6]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,2,3,5,1,7]=>[6,3,4,2,5,1,7]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,4,2,3,5,7,1]=>[7,3,4,2,5,1,6]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,4,2,3,7,1,5]=>[6,3,4,2,7,1,5]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,4,2,3,7,5,1]=>[7,3,4,2,6,1,5]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,4,2,5,1,3,7]=>[5,3,6,2,4,1,7]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,2,5,1,7,3]=>[5,3,7,2,4,1,6]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,2,5,3,1,7]=>[6,3,5,2,4,1,7]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,4,2,5,3,7,1]=>[7,3,5,2,4,1,6]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,4,2,5,7,1,3]=>[6,3,7,2,4,1,5]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,4,2,5,7,3,1]=>[7,3,6,2,4,1,5]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,4,2,7,1,3,5]=>[5,3,6,2,7,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,2,7,1,5,3]=>[5,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,2,7,3,1,5]=>[6,3,5,2,7,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,4,2,7,3,5,1]=>[7,3,5,2,6,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,4,2,7,5,1,3]=>[6,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,4,2,7,5,3,1]=>[7,3,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,4,3,1,2,5,7]=>[4,5,3,2,6,1,7]=>[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,3,1,2,7,5]=>[4,5,3,2,7,1,6]=>[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,3,1,5,2,7]=>[4,6,3,2,5,1,7]=>[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,3,1,5,7,2]=>[4,7,3,2,5,1,6]=>[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,3,1,7,2,5]=>[4,6,3,2,7,1,5]=>[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,3,1,7,5,2]=>[4,7,3,2,6,1,5]=>[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,3,2,1,5,7]=>[5,4,3,2,6,1,7]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,4,3,2,1,7,5]=>[5,4,3,2,7,1,6]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,4,3,2,5,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,2,5,7,1]=>[7,4,3,2,5,1,6]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,2,7,5,1]=>[7,4,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,4,3,5,1,2,7]=>[5,6,3,2,4,1,7]=>[5,7,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,3,5,1,7,2]=>[5,7,3,2,4,1,6]=>[5,7,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,3,5,2,1,7]=>[6,5,3,2,4,1,7]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,4,3,5,2,7,1]=>[7,5,3,2,4,1,6]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,4,3,5,7,1,2]=>[6,7,3,2,4,1,5]=>[6,7,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,4,3,5,7,2,1]=>[7,6,3,2,4,1,5]=>[7,6,3,2,5,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,4,3,7,1,2,5]=>[5,6,3,2,7,1,4]=>[5,7,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,3,7,1,5,2]=>[5,7,3,2,6,1,4]=>[5,7,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,3,7,2,1,5]=>[6,5,3,2,7,1,4]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,4,3,7,2,5,1]=>[7,5,3,2,6,1,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,4,3,7,5,1,2]=>[6,7,3,2,5,1,4]=>[6,7,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,4,3,7,5,2,1]=>[7,6,3,2,5,1,4]=>[7,6,3,2,5,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,4,5,1,2,3,7]=>[4,5,6,2,3,1,7]=>[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,5,1,2,7,3]=>[4,5,7,2,3,1,6]=>[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,5,1,3,2,7]=>[4,6,5,2,3,1,7]=>[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,5,1,3,7,2]=>[4,7,5,2,3,1,6]=>[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,5,1,7,2,3]=>[4,6,7,2,3,1,5]=>[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,5,1,7,3,2]=>[4,7,6,2,3,1,5]=>[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,5,2,1,3,7]=>[5,4,6,2,3,1,7]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,4,5,2,1,7,3]=>[5,4,7,2,3,1,6]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,4,5,2,3,1,7]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,5,2,3,7,1]=>[7,4,5,2,3,1,6]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,4,5,2,7,1,3]=>[6,4,7,2,3,1,5]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,5,2,7,3,1]=>[7,4,6,2,3,1,5]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,4,5,3,1,2,7]=>[5,6,4,2,3,1,7]=>[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,4,5,3,1,7,2]=>[5,7,4,2,3,1,6]=>[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,4,5,3,2,1,7]=>[6,5,4,2,3,1,7]=>[6,5,4,2,7,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,4,5,3,2,7,1]=>[7,5,4,2,3,1,6]=>[7,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,5,3,7,1,2]=>[6,7,4,2,3,1,5]=>[6,7,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,5,3,7,2,1]=>[7,6,4,2,3,1,5]=>[7,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[6,4,5,7,1,2,3]=>[5,6,7,2,3,1,4]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,5,7,1,3,2]=>[5,7,6,2,3,1,4]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,5,7,2,1,3]=>[6,5,7,2,3,1,4]=>[6,5,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,4,5,7,2,3,1]=>[7,5,6,2,3,1,4]=>[7,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,4,5,7,3,1,2]=>[6,7,5,2,3,1,4]=>[6,7,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,4,5,7,3,2,1]=>[7,6,5,2,3,1,4]=>[7,6,5,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],.]
[6,4,7,1,2,3,5]=>[4,5,6,2,7,1,3]=>[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,7,1,2,5,3]=>[4,5,7,2,6,1,3]=>[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,7,1,3,2,5]=>[4,6,5,2,7,1,3]=>[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,7,1,3,5,2]=>[4,7,5,2,6,1,3]=>[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,7,1,5,2,3]=>[4,6,7,2,5,1,3]=>[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,7,1,5,3,2]=>[4,7,6,2,5,1,3]=>[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,7,2,1,3,5]=>[5,4,6,2,7,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,4,7,2,1,5,3]=>[5,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,4,7,2,3,1,5]=>[6,4,5,2,7,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,7,2,3,5,1]=>[7,4,5,2,6,1,3]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,7,2,5,3,1]=>[7,4,6,2,5,1,3]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,4,7,3,1,2,5]=>[5,6,4,2,7,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,4,7,3,1,5,2]=>[5,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,4,7,3,2,1,5]=>[6,5,4,2,7,1,3]=>[6,5,4,2,7,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,4,7,3,2,5,1]=>[7,5,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,7,3,5,1,2]=>[6,7,4,2,5,1,3]=>[6,7,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,7,3,5,2,1]=>[7,6,4,2,5,1,3]=>[7,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[6,4,7,5,1,2,3]=>[5,6,7,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,7,5,1,3,2]=>[5,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,7,5,2,1,3]=>[6,5,7,2,4,1,3]=>[6,5,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,4,7,5,2,3,1]=>[7,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,4,7,5,3,1,2]=>[6,7,5,2,4,1,3]=>[6,7,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,4,7,5,3,2,1]=>[7,6,5,2,4,1,3]=>[7,6,5,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],.]
[6,5,1,2,3,4,7]=>[3,4,5,6,2,1,7]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,2,3,7,4]=>[3,4,5,7,2,1,6]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,2,4,3,7]=>[3,4,6,5,2,1,7]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,2,4,7,3]=>[3,4,7,5,2,1,6]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,2,7,3,4]=>[3,4,6,7,2,1,5]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,2,7,4,3]=>[3,4,7,6,2,1,5]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,3,2,4,7]=>[3,5,4,6,2,1,7]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,3,2,7,4]=>[3,5,4,7,2,1,6]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,3,4,2,7]=>[3,6,4,5,2,1,7]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,3,4,7,2]=>[3,7,4,5,2,1,6]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,3,7,2,4]=>[3,6,4,7,2,1,5]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,3,7,4,2]=>[3,7,4,6,2,1,5]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,4,2,3,7]=>[3,5,6,4,2,1,7]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,4,2,7,3]=>[3,5,7,4,2,1,6]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,4,3,2,7]=>[3,6,5,4,2,1,7]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,4,3,7,2]=>[3,7,5,4,2,1,6]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,4,7,2,3]=>[3,6,7,4,2,1,5]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,4,7,3,2]=>[3,7,6,4,2,1,5]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,7,2,3,4]=>[3,5,6,7,2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,7,2,4,3]=>[3,5,7,6,2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,7,3,2,4]=>[3,6,5,7,2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,7,3,4,2]=>[3,7,5,6,2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,7,4,2,3]=>[3,6,7,5,2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,1,7,4,3,2]=>[3,7,6,5,2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,2,1,3,4,7]=>[4,3,5,6,2,1,7]=>[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,2,1,3,7,4]=>[4,3,5,7,2,1,6]=>[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,2,1,4,3,7]=>[4,3,6,5,2,1,7]=>[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,2,1,4,7,3]=>[4,3,7,5,2,1,6]=>[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,2,1,7,3,4]=>[4,3,6,7,2,1,5]=>[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,2,1,7,4,3]=>[4,3,7,6,2,1,5]=>[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,2,3,1,4,7]=>[5,3,4,6,2,1,7]=>[5,3,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,2,3,1,7,4]=>[5,3,4,7,2,1,6]=>[5,3,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,2,3,4,1,7]=>[6,3,4,5,2,1,7]=>[6,3,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,5,2,3,4,7,1]=>[7,3,4,5,2,1,6]=>[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,5,2,3,7,1,4]=>[6,3,4,7,2,1,5]=>[6,3,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,5,2,3,7,4,1]=>[7,3,4,6,2,1,5]=>[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,5,2,4,1,3,7]=>[5,3,6,4,2,1,7]=>[5,3,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,2,4,1,7,3]=>[5,3,7,4,2,1,6]=>[5,3,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,2,4,3,1,7]=>[6,3,5,4,2,1,7]=>[6,3,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,5,2,4,3,7,1]=>[7,3,5,4,2,1,6]=>[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,5,2,4,7,1,3]=>[6,3,7,4,2,1,5]=>[6,3,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,5,2,4,7,3,1]=>[7,3,6,4,2,1,5]=>[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,5,2,7,1,3,4]=>[5,3,6,7,2,1,4]=>[5,3,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,2,7,1,4,3]=>[5,3,7,6,2,1,4]=>[5,3,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,2,7,3,1,4]=>[6,3,5,7,2,1,4]=>[6,3,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,5,2,7,3,4,1]=>[7,3,5,6,2,1,4]=>[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,5,2,7,4,1,3]=>[6,3,7,5,2,1,4]=>[6,3,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,5,2,7,4,3,1]=>[7,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,5,3,1,2,4,7]=>[4,5,3,6,2,1,7]=>[4,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,3,1,2,7,4]=>[4,5,3,7,2,1,6]=>[4,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,3,1,4,2,7]=>[4,6,3,5,2,1,7]=>[4,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,3,1,4,7,2]=>[4,7,3,5,2,1,6]=>[4,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,3,1,7,2,4]=>[4,6,3,7,2,1,5]=>[4,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,3,1,7,4,2]=>[4,7,3,6,2,1,5]=>[4,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,3,2,1,4,7]=>[5,4,3,6,2,1,7]=>[5,4,3,7,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,5,3,2,1,7,4]=>[5,4,3,7,2,1,6]=>[5,4,3,7,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,5,3,2,4,1,7]=>[6,4,3,5,2,1,7]=>[6,4,3,7,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,5,3,2,4,7,1]=>[7,4,3,5,2,1,6]=>[7,4,3,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,5,3,2,7,1,4]=>[6,4,3,7,2,1,5]=>[6,4,3,7,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,5,3,2,7,4,1]=>[7,4,3,6,2,1,5]=>[7,4,3,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,5,3,4,1,2,7]=>[5,6,3,4,2,1,7]=>[5,7,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,3,4,1,7,2]=>[5,7,3,4,2,1,6]=>[5,7,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,3,4,2,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,3,4,2,7,1]=>[7,5,3,4,2,1,6]=>[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,3,4,7,1,2]=>[6,7,3,4,2,1,5]=>[6,7,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,5,3,4,7,2,1]=>[7,6,3,4,2,1,5]=>[7,6,3,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,5,3,7,1,2,4]=>[5,6,3,7,2,1,4]=>[5,7,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,3,7,1,4,2]=>[5,7,3,6,2,1,4]=>[5,7,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,3,7,2,4,1]=>[7,5,3,6,2,1,4]=>[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,3,7,4,1,2]=>[6,7,3,5,2,1,4]=>[6,7,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,5,3,7,4,2,1]=>[7,6,3,5,2,1,4]=>[7,6,3,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,5,4,1,2,3,7]=>[4,5,6,3,2,1,7]=>[4,7,6,3,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,4,1,2,7,3]=>[4,5,7,3,2,1,6]=>[4,7,6,3,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,4,1,3,2,7]=>[4,6,5,3,2,1,7]=>[4,7,6,3,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,4,1,3,7,2]=>[4,7,5,3,2,1,6]=>[4,7,6,3,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,4,1,7,2,3]=>[4,6,7,3,2,1,5]=>[4,7,6,3,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,4,1,7,3,2]=>[4,7,6,3,2,1,5]=>[4,7,6,3,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,4,2,1,3,7]=>[5,4,6,3,2,1,7]=>[5,4,7,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,5,4,2,1,7,3]=>[5,4,7,3,2,1,6]=>[5,4,7,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,5,4,2,3,1,7]=>[6,4,5,3,2,1,7]=>[6,4,7,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,5,4,2,3,7,1]=>[7,4,5,3,2,1,6]=>[7,4,6,3,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,5,4,2,7,1,3]=>[6,4,7,3,2,1,5]=>[6,4,7,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,5,4,2,7,3,1]=>[7,4,6,3,2,1,5]=>[7,4,6,3,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,5,4,3,1,2,7]=>[5,6,4,3,2,1,7]=>[5,7,4,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,5,4,3,1,7,2]=>[5,7,4,3,2,1,6]=>[5,7,4,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,4,3,2,7,1]=>[7,5,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,4,3,7,1,2]=>[6,7,4,3,2,1,5]=>[6,7,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,5,4,3,7,2,1]=>[7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,4,7,1,2,3]=>[5,6,7,3,2,1,4]=>[5,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,4,7,1,3,2]=>[5,7,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,4,7,2,1,3]=>[6,5,7,3,2,1,4]=>[6,5,7,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,4,7,2,3,1]=>[7,5,6,3,2,1,4]=>[7,5,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,4,7,3,1,2]=>[6,7,5,3,2,1,4]=>[6,7,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,4,7,3,2,1]=>[7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],.]
[6,5,7,1,2,3,4]=>[4,5,6,7,2,1,3]=>[4,7,6,5,2,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,7,1,2,4,3]=>[4,5,7,6,2,1,3]=>[4,7,6,5,2,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,7,1,3,2,4]=>[4,6,5,7,2,1,3]=>[4,7,6,5,2,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,7,1,3,4,2]=>[4,7,5,6,2,1,3]=>[4,7,6,5,2,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,7,1,4,2,3]=>[4,6,7,5,2,1,3]=>[4,7,6,5,2,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,7,1,4,3,2]=>[4,7,6,5,2,1,3]=>[4,7,6,5,2,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,7,2,1,3,4]=>[5,4,6,7,2,1,3]=>[5,4,7,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,5,7,2,1,4,3]=>[5,4,7,6,2,1,3]=>[5,4,7,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,5,7,2,3,1,4]=>[6,4,5,7,2,1,3]=>[6,4,7,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,5,7,2,3,4,1]=>[7,4,5,6,2,1,3]=>[7,4,6,5,2,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,5,7,2,4,1,3]=>[6,4,7,5,2,1,3]=>[6,4,7,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,5,7,2,4,3,1]=>[7,4,6,5,2,1,3]=>[7,4,6,5,2,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,5,7,3,1,2,4]=>[5,6,4,7,2,1,3]=>[5,7,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,5,7,3,1,4,2]=>[5,7,4,6,2,1,3]=>[5,7,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,5,7,3,2,1,4]=>[6,5,4,7,2,1,3]=>[6,5,4,7,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,5,7,3,2,4,1]=>[7,5,4,6,2,1,3]=>[7,5,4,6,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,5,7,3,4,1,2]=>[6,7,4,5,2,1,3]=>[6,7,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,5,7,3,4,2,1]=>[7,6,4,5,2,1,3]=>[7,6,4,5,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[6,5,7,4,1,2,3]=>[5,6,7,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,5,7,4,1,3,2]=>[5,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,5,7,4,2,3,1]=>[7,5,6,4,2,1,3]=>[7,5,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,5,7,4,3,1,2]=>[6,7,5,4,2,1,3]=>[6,7,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,5,7,4,3,2,1]=>[7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],.]
[6,7,1,2,3,4,5]=>[3,4,5,6,7,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,2,3,5,4]=>[3,4,5,7,6,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,2,4,3,5]=>[3,4,6,5,7,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,2,4,5,3]=>[3,4,7,5,6,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,2,5,3,4]=>[3,4,6,7,5,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,2,5,4,3]=>[3,4,7,6,5,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,3,2,4,5]=>[3,5,4,6,7,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,3,2,5,4]=>[3,5,4,7,6,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,3,4,2,5]=>[3,6,4,5,7,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,3,4,5,2]=>[3,7,4,5,6,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,3,5,2,4]=>[3,6,4,7,5,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,3,5,4,2]=>[3,7,4,6,5,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,4,2,3,5]=>[3,5,6,4,7,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,4,2,5,3]=>[3,5,7,4,6,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,4,3,2,5]=>[3,6,5,4,7,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,4,3,5,2]=>[3,7,5,4,6,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,4,5,2,3]=>[3,6,7,4,5,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,4,5,3,2]=>[3,7,6,4,5,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,5,2,3,4]=>[3,5,6,7,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,5,2,4,3]=>[3,5,7,6,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,5,3,2,4]=>[3,6,5,7,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,5,3,4,2]=>[3,7,5,6,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,5,4,2,3]=>[3,6,7,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,5,4,3,2]=>[3,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,2,1,3,4,5]=>[4,3,5,6,7,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,2,1,3,5,4]=>[4,3,5,7,6,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,2,1,4,3,5]=>[4,3,6,5,7,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,2,1,4,5,3]=>[4,3,7,5,6,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,2,1,5,3,4]=>[4,3,6,7,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,2,1,5,4,3]=>[4,3,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,2,3,1,4,5]=>[5,3,4,6,7,1,2]=>[5,3,7,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,2,3,1,5,4]=>[5,3,4,7,6,1,2]=>[5,3,7,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,2,3,4,1,5]=>[6,3,4,5,7,1,2]=>[6,3,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,2,3,4,5,1]=>[7,3,4,5,6,1,2]=>[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[6,7,2,3,5,1,4]=>[6,3,4,7,5,1,2]=>[6,3,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,2,3,5,4,1]=>[7,3,4,6,5,1,2]=>[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[6,7,2,4,1,3,5]=>[5,3,6,4,7,1,2]=>[5,3,7,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,2,4,1,5,3]=>[5,3,7,4,6,1,2]=>[5,3,7,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,2,4,3,1,5]=>[6,3,5,4,7,1,2]=>[6,3,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,2,4,3,5,1]=>[7,3,5,4,6,1,2]=>[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[6,7,2,4,5,1,3]=>[6,3,7,4,5,1,2]=>[6,3,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,2,4,5,3,1]=>[7,3,6,4,5,1,2]=>[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[6,7,2,5,1,3,4]=>[5,3,6,7,4,1,2]=>[5,3,7,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,2,5,1,4,3]=>[5,3,7,6,4,1,2]=>[5,3,7,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,2,5,3,1,4]=>[6,3,5,7,4,1,2]=>[6,3,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,2,5,3,4,1]=>[7,3,5,6,4,1,2]=>[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[6,7,2,5,4,1,3]=>[6,3,7,5,4,1,2]=>[6,3,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,2,5,4,3,1]=>[7,3,6,5,4,1,2]=>[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[6,7,3,1,2,4,5]=>[4,5,3,6,7,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,3,1,2,5,4]=>[4,5,3,7,6,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,3,1,4,2,5]=>[4,6,3,5,7,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,3,1,4,5,2]=>[4,7,3,5,6,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,3,1,5,2,4]=>[4,6,3,7,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,3,1,5,4,2]=>[4,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,3,2,1,4,5]=>[5,4,3,6,7,1,2]=>[5,4,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,7,3,2,1,5,4]=>[5,4,3,7,6,1,2]=>[5,4,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,7,3,2,4,1,5]=>[6,4,3,5,7,1,2]=>[6,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,3,2,4,5,1]=>[7,4,3,5,6,1,2]=>[7,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[6,7,3,2,5,1,4]=>[6,4,3,7,5,1,2]=>[6,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,3,2,5,4,1]=>[7,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[6,7,3,4,1,2,5]=>[5,6,3,4,7,1,2]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,3,4,1,5,2]=>[5,7,3,4,6,1,2]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,3,4,2,1,5]=>[6,5,3,4,7,1,2]=>[6,5,3,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,7,3,4,2,5,1]=>[7,5,3,4,6,1,2]=>[7,5,3,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,3,4,5,1,2]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,4,5,2,1]=>[7,6,3,4,5,1,2]=>[7,6,3,5,4,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[6,7,3,5,1,2,4]=>[5,6,3,7,4,1,2]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,3,5,1,4,2]=>[5,7,3,6,4,1,2]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,3,5,2,1,4]=>[6,5,3,7,4,1,2]=>[6,5,3,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,7,3,5,2,4,1]=>[7,5,3,6,4,1,2]=>[7,5,3,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,5,4,2,1]=>[7,6,3,5,4,1,2]=>[7,6,3,5,4,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[6,7,4,1,2,3,5]=>[4,5,6,3,7,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,4,1,2,5,3]=>[4,5,7,3,6,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,4,1,3,2,5]=>[4,6,5,3,7,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,4,1,3,5,2]=>[4,7,5,3,6,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,4,1,5,2,3]=>[4,6,7,3,5,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,4,1,5,3,2]=>[4,7,6,3,5,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,4,2,1,3,5]=>[5,4,6,3,7,1,2]=>[5,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,7,4,2,1,5,3]=>[5,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,7,4,2,3,1,5]=>[6,4,5,3,7,1,2]=>[6,4,7,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,4,2,3,5,1]=>[7,4,5,3,6,1,2]=>[7,4,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[6,7,4,2,5,1,3]=>[6,4,7,3,5,1,2]=>[6,4,7,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,4,2,5,3,1]=>[7,4,6,3,5,1,2]=>[7,4,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[6,7,4,3,1,2,5]=>[5,6,4,3,7,1,2]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,7,4,3,1,5,2]=>[5,7,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,7,4,3,2,1,5]=>[6,5,4,3,7,1,2]=>[6,5,4,3,7,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[6,7,4,3,2,5,1]=>[7,5,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,4,3,5,2,1]=>[7,6,4,3,5,1,2]=>[7,6,4,3,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[6,7,4,5,1,2,3]=>[5,6,7,3,4,1,2]=>[5,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,4,5,1,3,2]=>[5,7,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,4,5,2,1,3]=>[6,5,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,7,4,5,2,3,1]=>[7,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,4,5,3,1,2]=>[6,7,5,3,4,1,2]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,7,4,5,3,2,1]=>[7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[6,7,5,1,2,3,4]=>[4,5,6,7,3,1,2]=>[4,7,6,5,3,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,5,1,2,4,3]=>[4,5,7,6,3,1,2]=>[4,7,6,5,3,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,5,1,3,2,4]=>[4,6,5,7,3,1,2]=>[4,7,6,5,3,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,5,1,3,4,2]=>[4,7,5,6,3,1,2]=>[4,7,6,5,3,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,5,1,4,2,3]=>[4,6,7,5,3,1,2]=>[4,7,6,5,3,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,5,1,4,3,2]=>[4,7,6,5,3,1,2]=>[4,7,6,5,3,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,5,2,1,3,4]=>[5,4,6,7,3,1,2]=>[5,4,7,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,7,5,2,1,4,3]=>[5,4,7,6,3,1,2]=>[5,4,7,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,7,5,2,3,1,4]=>[6,4,5,7,3,1,2]=>[6,4,7,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,5,2,3,4,1]=>[7,4,5,6,3,1,2]=>[7,4,6,5,3,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[6,7,5,2,4,1,3]=>[6,4,7,5,3,1,2]=>[6,4,7,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,5,2,4,3,1]=>[7,4,6,5,3,1,2]=>[7,4,6,5,3,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[6,7,5,3,1,2,4]=>[5,6,4,7,3,1,2]=>[5,7,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,7,5,3,1,4,2]=>[5,7,4,6,3,1,2]=>[5,7,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,7,5,3,2,1,4]=>[6,5,4,7,3,1,2]=>[6,5,4,7,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[6,7,5,3,2,4,1]=>[7,5,4,6,3,1,2]=>[7,5,4,6,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,7,5,3,4,1,2]=>[6,7,4,5,3,1,2]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,5,3,4,2,1]=>[7,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[6,7,5,4,1,2,3]=>[5,6,7,4,3,1,2]=>[5,7,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,7,5,4,1,3,2]=>[5,7,6,4,3,1,2]=>[5,7,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,7,5,4,2,1,3]=>[6,5,7,4,3,1,2]=>[6,5,7,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[6,7,5,4,2,3,1]=>[7,5,6,4,3,1,2]=>[7,5,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],.]
[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,4,6,5]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,5,4,6]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,5,6,4]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,6,4,5]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,6,5,4]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,4,3,5,6]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,4,3,6,5]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,4,5,3,6]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,4,5,6,3]=>[2,3,7,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,4,6,3,5]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,4,6,5,3]=>[2,3,7,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,5,3,4,6]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,5,3,6,4]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,5,4,3,6]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,5,4,6,3]=>[2,3,7,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,5,6,3,4]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,5,6,4,3]=>[2,3,7,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,6,3,4,5]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,6,3,5,4]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,6,4,3,5]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,6,4,5,3]=>[2,3,7,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,6,5,3,4]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,6,5,4,3]=>[2,3,7,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,2,4,5,6]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,2,4,6,5]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,2,5,4,6]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,2,5,6,4]=>[2,4,3,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,2,6,4,5]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,2,6,5,4]=>[2,4,3,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,4,2,5,6]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,4,2,6,5]=>[2,5,3,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,4,5,2,6]=>[2,6,3,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,4,5,6,2]=>[2,7,3,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,4,6,2,5]=>[2,6,3,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,4,6,5,2]=>[2,7,3,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,5,2,4,6]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,5,2,6,4]=>[2,5,3,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,5,4,2,6]=>[2,6,3,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,5,4,6,2]=>[2,7,3,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,5,6,2,4]=>[2,6,3,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,5,6,4,2]=>[2,7,3,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,6,2,4,5]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,6,2,5,4]=>[2,5,3,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,6,4,2,5]=>[2,6,3,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,6,4,5,2]=>[2,7,3,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,6,5,2,4]=>[2,6,3,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,6,5,4,2]=>[2,7,3,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,2,3,5,6]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,2,3,6,5]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,2,5,3,6]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,2,5,6,3]=>[2,4,7,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,2,6,3,5]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,2,6,5,3]=>[2,4,7,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,3,2,5,6]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,3,5,2,6]=>[2,6,4,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,3,5,6,2]=>[2,7,4,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,3,6,2,5]=>[2,6,4,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,3,6,5,2]=>[2,7,4,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,5,2,3,6]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,5,2,6,3]=>[2,5,7,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,5,3,2,6]=>[2,6,5,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,5,3,6,2]=>[2,7,5,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,5,6,2,3]=>[2,6,7,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,5,6,3,2]=>[2,7,6,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,6,2,3,5]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,6,2,5,3]=>[2,5,7,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,6,3,2,5]=>[2,6,5,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,6,3,5,2]=>[2,7,5,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,6,5,2,3]=>[2,6,7,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,6,5,3,2]=>[2,7,6,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,2,3,4,6]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,2,3,6,4]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,2,4,3,6]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,2,4,6,3]=>[2,4,7,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,2,6,3,4]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,2,6,4,3]=>[2,4,7,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,3,2,4,6]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,3,2,6,4]=>[2,5,4,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,3,4,2,6]=>[2,6,4,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,3,4,6,2]=>[2,7,4,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,3,6,2,4]=>[2,6,4,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,3,6,4,2]=>[2,7,4,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,4,2,3,6]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,4,2,6,3]=>[2,5,7,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,4,3,2,6]=>[2,6,5,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,4,3,6,2]=>[2,7,5,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,4,6,2,3]=>[2,6,7,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,4,6,3,2]=>[2,7,6,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,6,2,3,4]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,6,2,4,3]=>[2,5,7,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,6,3,2,4]=>[2,6,5,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,6,3,4,2]=>[2,7,5,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,6,4,2,3]=>[2,6,7,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,6,4,3,2]=>[2,7,6,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,2,3,4,5]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,2,3,5,4]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,2,4,3,5]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,2,4,5,3]=>[2,4,7,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,2,5,3,4]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,2,5,4,3]=>[2,4,7,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,3,2,4,5]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,3,2,5,4]=>[2,5,4,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,3,4,2,5]=>[2,6,4,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,3,4,5,2]=>[2,7,4,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,3,5,2,4]=>[2,6,4,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,3,5,4,2]=>[2,7,4,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,4,2,3,5]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,4,2,5,3]=>[2,5,7,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,4,3,2,5]=>[2,6,5,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,4,3,5,2]=>[2,7,5,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,4,5,2,3]=>[2,6,7,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,4,5,3,2]=>[2,7,6,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,5,2,3,4]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,5,2,4,3]=>[2,5,7,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,5,3,2,4]=>[2,6,5,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,5,3,4,2]=>[2,7,5,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,5,4,2,3]=>[2,6,7,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,5,4,3,2]=>[2,7,6,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,3,4,5,6]=>[3,2,4,5,6,7,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,3,4,6,5]=>[3,2,4,5,7,6,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,3,5,4,6]=>[3,2,4,6,5,7,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,3,5,6,4]=>[3,2,4,7,5,6,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,3,6,4,5]=>[3,2,4,6,7,5,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,3,6,5,4]=>[3,2,4,7,6,5,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,4,3,5,6]=>[3,2,5,4,6,7,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,4,3,6,5]=>[3,2,5,4,7,6,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,4,5,3,6]=>[3,2,6,4,5,7,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,4,5,6,3]=>[3,2,7,4,5,6,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,4,6,3,5]=>[3,2,6,4,7,5,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,4,6,5,3]=>[3,2,7,4,6,5,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,5,3,4,6]=>[3,2,5,6,4,7,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,5,3,6,4]=>[3,2,5,7,4,6,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,5,4,3,6]=>[3,2,6,5,4,7,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,5,4,6,3]=>[3,2,7,5,4,6,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,5,6,3,4]=>[3,2,6,7,4,5,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,5,6,4,3]=>[3,2,7,6,4,5,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,6,3,4,5]=>[3,2,5,6,7,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,6,3,5,4]=>[3,2,5,7,6,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,6,4,3,5]=>[3,2,6,5,7,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,6,4,5,3]=>[3,2,7,5,6,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,6,5,3,4]=>[3,2,6,7,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,3,1,4,5,6]=>[4,2,3,5,6,7,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,3,1,4,6,5]=>[4,2,3,5,7,6,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,3,1,5,4,6]=>[4,2,3,6,5,7,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,3,1,5,6,4]=>[4,2,3,7,5,6,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,3,1,6,4,5]=>[4,2,3,6,7,5,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,3,1,6,5,4]=>[4,2,3,7,6,5,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,3,4,1,5,6]=>[5,2,3,4,6,7,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,3,4,1,6,5]=>[5,2,3,4,7,6,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,3,4,5,1,6]=>[6,2,3,4,5,7,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,3,4,5,6,1]=>[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,4,6,1,5]=>[6,2,3,4,7,5,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,3,4,6,5,1]=>[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,5,1,4,6]=>[5,2,3,6,4,7,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,3,5,1,6,4]=>[5,2,3,7,4,6,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,3,5,4,1,6]=>[6,2,3,5,4,7,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,3,5,4,6,1]=>[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,5,6,1,4]=>[6,2,3,7,4,5,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,3,5,6,4,1]=>[7,2,3,6,4,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,6,1,4,5]=>[5,2,3,6,7,4,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,3,6,1,5,4]=>[5,2,3,7,6,4,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,3,6,4,1,5]=>[6,2,3,5,7,4,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,3,6,4,5,1]=>[7,2,3,5,6,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,6,5,1,4]=>[6,2,3,7,5,4,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,3,6,5,4,1]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,1,3,5,6]=>[4,2,5,3,6,7,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,4,1,3,6,5]=>[4,2,5,3,7,6,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,4,1,5,3,6]=>[4,2,6,3,5,7,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,4,1,5,6,3]=>[4,2,7,3,5,6,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,4,1,6,3,5]=>[4,2,6,3,7,5,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,4,1,6,5,3]=>[4,2,7,3,6,5,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,4,3,1,5,6]=>[5,2,4,3,6,7,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,4,3,1,6,5]=>[5,2,4,3,7,6,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,4,3,5,1,6]=>[6,2,4,3,5,7,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,4,3,5,6,1]=>[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,3,6,1,5]=>[6,2,4,3,7,5,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,4,3,6,5,1]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,5,1,3,6]=>[5,2,6,3,4,7,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,4,5,1,6,3]=>[5,2,7,3,4,6,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,4,5,3,1,6]=>[6,2,5,3,4,7,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,4,5,3,6,1]=>[7,2,5,3,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,5,6,1,3]=>[6,2,7,3,4,5,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,4,5,6,3,1]=>[7,2,6,3,4,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,6,1,3,5]=>[5,2,6,3,7,4,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,4,6,1,5,3]=>[5,2,7,3,6,4,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,4,6,3,1,5]=>[6,2,5,3,7,4,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,4,6,3,5,1]=>[7,2,5,3,6,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,6,5,1,3]=>[6,2,7,3,5,4,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,4,6,5,3,1]=>[7,2,6,3,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,1,3,4,6]=>[4,2,5,6,3,7,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,5,1,3,6,4]=>[4,2,5,7,3,6,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,5,1,4,3,6]=>[4,2,6,5,3,7,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,5,1,4,6,3]=>[4,2,7,5,3,6,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,5,1,6,3,4]=>[4,2,6,7,3,5,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,5,1,6,4,3]=>[4,2,7,6,3,5,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,5,3,1,4,6]=>[5,2,4,6,3,7,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,5,3,1,6,4]=>[5,2,4,7,3,6,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,5,3,4,1,6]=>[6,2,4,5,3,7,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,5,3,4,6,1]=>[7,2,4,5,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,3,6,1,4]=>[6,2,4,7,3,5,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,5,3,6,4,1]=>[7,2,4,6,3,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,4,1,3,6]=>[5,2,6,4,3,7,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,5,4,1,6,3]=>[5,2,7,4,3,6,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,5,4,3,1,6]=>[6,2,5,4,3,7,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,5,4,3,6,1]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,4,6,1,3]=>[6,2,7,4,3,5,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,5,4,6,3,1]=>[7,2,6,4,3,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,6,1,3,4]=>[5,2,6,7,3,4,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,5,6,1,4,3]=>[5,2,7,6,3,4,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,5,6,3,1,4]=>[6,2,5,7,3,4,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,5,6,3,4,1]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,6,4,1,3]=>[6,2,7,5,3,4,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,5,6,4,3,1]=>[7,2,6,5,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,1,3,4,5]=>[4,2,5,6,7,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,6,1,3,5,4]=>[4,2,5,7,6,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,6,1,4,3,5]=>[4,2,6,5,7,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,6,1,4,5,3]=>[4,2,7,5,6,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,6,1,5,3,4]=>[4,2,6,7,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,6,1,5,4,3]=>[4,2,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,2,6,3,1,4,5]=>[5,2,4,6,7,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,6,3,1,5,4]=>[5,2,4,7,6,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,6,3,4,1,5]=>[6,2,4,5,7,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,6,3,4,5,1]=>[7,2,4,5,6,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,3,5,1,4]=>[6,2,4,7,5,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,6,3,5,4,1]=>[7,2,4,6,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,4,1,3,5]=>[5,2,6,4,7,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,6,4,1,5,3]=>[5,2,7,4,6,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,6,4,3,1,5]=>[6,2,5,4,7,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,6,4,3,5,1]=>[7,2,5,4,6,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,4,5,1,3]=>[6,2,7,4,5,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,6,4,5,3,1]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,5,1,3,4]=>[5,2,6,7,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,6,5,1,4,3]=>[5,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,6,5,3,1,4]=>[6,2,5,7,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,6,5,3,4,1]=>[7,2,5,6,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,5,4,1,3]=>[6,2,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,3,1,2,4,5,6]=>[3,4,2,5,6,7,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,2,4,6,5]=>[3,4,2,5,7,6,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,2,5,4,6]=>[3,4,2,6,5,7,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,2,5,6,4]=>[3,4,2,7,5,6,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,2,6,4,5]=>[3,4,2,6,7,5,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,2,6,5,4]=>[3,4,2,7,6,5,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,4,2,5,6]=>[3,5,2,4,6,7,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,4,2,6,5]=>[3,5,2,4,7,6,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,4,5,2,6]=>[3,6,2,4,5,7,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,4,5,6,2]=>[3,7,2,4,5,6,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,4,6,2,5]=>[3,6,2,4,7,5,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,4,6,5,2]=>[3,7,2,4,6,5,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,5,2,4,6]=>[3,5,2,6,4,7,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,5,2,6,4]=>[3,5,2,7,4,6,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,5,4,2,6]=>[3,6,2,5,4,7,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,5,4,6,2]=>[3,7,2,5,4,6,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,5,6,2,4]=>[3,6,2,7,4,5,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,5,6,4,2]=>[3,7,2,6,4,5,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,6,2,4,5]=>[3,5,2,6,7,4,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,6,2,5,4]=>[3,5,2,7,6,4,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,6,4,2,5]=>[3,6,2,5,7,4,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,6,4,5,2]=>[3,7,2,5,6,4,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,6,5,2,4]=>[3,6,2,7,5,4,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,1,6,5,4,2]=>[3,7,2,6,5,4,1]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,2,1,4,5,6]=>[4,3,2,5,6,7,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,3,2,1,4,6,5]=>[4,3,2,5,7,6,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,3,2,1,5,4,6]=>[4,3,2,6,5,7,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,3,2,1,5,6,4]=>[4,3,2,7,5,6,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,3,2,1,6,4,5]=>[4,3,2,6,7,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,3,2,4,1,5,6]=>[5,3,2,4,6,7,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,3,2,4,1,6,5]=>[5,3,2,4,7,6,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,3,2,4,5,1,6]=>[6,3,2,4,5,7,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,3,2,4,5,6,1]=>[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,4,6,1,5]=>[6,3,2,4,7,5,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,3,2,4,6,5,1]=>[7,3,2,4,6,5,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,5,1,4,6]=>[5,3,2,6,4,7,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,3,2,5,1,6,4]=>[5,3,2,7,4,6,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,3,2,5,4,1,6]=>[6,3,2,5,4,7,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,3,2,5,4,6,1]=>[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,5,6,1,4]=>[6,3,2,7,4,5,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,3,2,5,6,4,1]=>[7,3,2,6,4,5,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,6,1,4,5]=>[5,3,2,6,7,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,3,2,6,1,5,4]=>[5,3,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,3,2,6,4,1,5]=>[6,3,2,5,7,4,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,3,2,6,4,5,1]=>[7,3,2,5,6,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,6,5,1,4]=>[6,3,2,7,5,4,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,4,1,2,5,6]=>[4,5,2,3,6,7,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,4,1,2,6,5]=>[4,5,2,3,7,6,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,4,1,5,2,6]=>[4,6,2,3,5,7,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,4,1,5,6,2]=>[4,7,2,3,5,6,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,4,1,6,2,5]=>[4,6,2,3,7,5,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,4,1,6,5,2]=>[4,7,2,3,6,5,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,4,2,1,5,6]=>[5,4,2,3,6,7,1]=>[5,4,2,7,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,3,4,2,1,6,5]=>[5,4,2,3,7,6,1]=>[5,4,2,7,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,3,4,2,5,1,6]=>[6,4,2,3,5,7,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,3,4,2,5,6,1]=>[7,4,2,3,5,6,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,3,4,2,6,1,5]=>[6,4,2,3,7,5,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,3,4,2,6,5,1]=>[7,4,2,3,6,5,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,3,4,5,1,2,6]=>[5,6,2,3,4,7,1]=>[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,4,5,1,6,2]=>[5,7,2,3,4,6,1]=>[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,4,5,2,1,6]=>[6,5,2,3,4,7,1]=>[6,5,2,7,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,3,4,5,2,6,1]=>[7,5,2,3,4,6,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,3,4,5,6,1,2]=>[6,7,2,3,4,5,1]=>[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,3,4,5,6,2,1]=>[7,6,2,3,4,5,1]=>[7,6,2,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,3,4,6,1,2,5]=>[5,6,2,3,7,4,1]=>[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,4,6,1,5,2]=>[5,7,2,3,6,4,1]=>[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,4,6,2,1,5]=>[6,5,2,3,7,4,1]=>[6,5,2,7,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,3,4,6,2,5,1]=>[7,5,2,3,6,4,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,3,4,6,5,1,2]=>[6,7,2,3,5,4,1]=>[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,3,4,6,5,2,1]=>[7,6,2,3,5,4,1]=>[7,6,2,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,3,5,1,2,4,6]=>[4,5,2,6,3,7,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,5,1,2,6,4]=>[4,5,2,7,3,6,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,5,1,4,2,6]=>[4,6,2,5,3,7,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,5,1,4,6,2]=>[4,7,2,5,3,6,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,5,1,6,2,4]=>[4,6,2,7,3,5,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,5,1,6,4,2]=>[4,7,2,6,3,5,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,5,2,1,4,6]=>[5,4,2,6,3,7,1]=>[5,4,2,7,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,3,5,2,1,6,4]=>[5,4,2,7,3,6,1]=>[5,4,2,7,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,3,5,2,4,1,6]=>[6,4,2,5,3,7,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,3,5,2,4,6,1]=>[7,4,2,5,3,6,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,3,5,2,6,1,4]=>[6,4,2,7,3,5,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,3,5,2,6,4,1]=>[7,4,2,6,3,5,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,3,5,4,1,2,6]=>[5,6,2,4,3,7,1]=>[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,5,4,1,6,2]=>[5,7,2,4,3,6,1]=>[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,5,4,2,1,6]=>[6,5,2,4,3,7,1]=>[6,5,2,7,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,3,5,4,2,6,1]=>[7,5,2,4,3,6,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,3,5,4,6,1,2]=>[6,7,2,4,3,5,1]=>[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,3,5,4,6,2,1]=>[7,6,2,4,3,5,1]=>[7,6,2,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,3,5,6,1,2,4]=>[5,6,2,7,3,4,1]=>[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,5,6,1,4,2]=>[5,7,2,6,3,4,1]=>[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,5,6,2,1,4]=>[6,5,2,7,3,4,1]=>[6,5,2,7,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,3,5,6,2,4,1]=>[7,5,2,6,3,4,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,3,5,6,4,1,2]=>[6,7,2,5,3,4,1]=>[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,3,5,6,4,2,1]=>[7,6,2,5,3,4,1]=>[7,6,2,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,3,6,1,2,4,5]=>[4,5,2,6,7,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,6,1,2,5,4]=>[4,5,2,7,6,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,6,1,4,2,5]=>[4,6,2,5,7,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,6,1,4,5,2]=>[4,7,2,5,6,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,6,1,5,2,4]=>[4,6,2,7,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,6,1,5,4,2]=>[4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,3,6,2,1,4,5]=>[5,4,2,6,7,3,1]=>[5,4,2,7,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,3,6,2,1,5,4]=>[5,4,2,7,6,3,1]=>[5,4,2,7,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,3,6,2,4,1,5]=>[6,4,2,5,7,3,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,3,6,2,4,5,1]=>[7,4,2,5,6,3,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,3,6,2,5,1,4]=>[6,4,2,7,5,3,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,3,6,2,5,4,1]=>[7,4,2,6,5,3,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,3,6,4,1,2,5]=>[5,6,2,4,7,3,1]=>[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,6,4,1,5,2]=>[5,7,2,4,6,3,1]=>[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,6,4,2,1,5]=>[6,5,2,4,7,3,1]=>[6,5,2,7,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,3,6,4,2,5,1]=>[7,5,2,4,6,3,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,3,6,4,5,1,2]=>[6,7,2,4,5,3,1]=>[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,3,6,4,5,2,1]=>[7,6,2,4,5,3,1]=>[7,6,2,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,3,6,5,1,2,4]=>[5,6,2,7,4,3,1]=>[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,6,5,1,4,2]=>[5,7,2,6,4,3,1]=>[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,6,5,2,1,4]=>[6,5,2,7,4,3,1]=>[6,5,2,7,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,3,6,5,2,4,1]=>[7,5,2,6,4,3,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,3,6,5,4,1,2]=>[6,7,2,5,4,3,1]=>[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,3,6,5,4,2,1]=>[7,6,2,5,4,3,1]=>[7,6,2,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,4,1,2,3,5,6]=>[3,4,5,2,6,7,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,2,3,6,5]=>[3,4,5,2,7,6,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,2,5,3,6]=>[3,4,6,2,5,7,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,2,5,6,3]=>[3,4,7,2,5,6,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,2,6,3,5]=>[3,4,6,2,7,5,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,2,6,5,3]=>[3,4,7,2,6,5,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,3,2,5,6]=>[3,5,4,2,6,7,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,3,2,6,5]=>[3,5,4,2,7,6,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,3,5,2,6]=>[3,6,4,2,5,7,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,3,5,6,2]=>[3,7,4,2,5,6,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,3,6,2,5]=>[3,6,4,2,7,5,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,3,6,5,2]=>[3,7,4,2,6,5,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,5,2,3,6]=>[3,5,6,2,4,7,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,5,2,6,3]=>[3,5,7,2,4,6,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,5,3,2,6]=>[3,6,5,2,4,7,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,5,3,6,2]=>[3,7,5,2,4,6,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,5,6,2,3]=>[3,6,7,2,4,5,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,5,6,3,2]=>[3,7,6,2,4,5,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,6,2,3,5]=>[3,5,6,2,7,4,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,6,2,5,3]=>[3,5,7,2,6,4,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,6,3,2,5]=>[3,6,5,2,7,4,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,6,3,5,2]=>[3,7,5,2,6,4,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,6,5,2,3]=>[3,6,7,2,5,4,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,1,6,5,3,2]=>[3,7,6,2,5,4,1]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,2,1,3,5,6]=>[4,3,5,2,6,7,1]=>[4,3,7,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,4,2,1,3,6,5]=>[4,3,5,2,7,6,1]=>[4,3,7,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,4,2,1,5,3,6]=>[4,3,6,2,5,7,1]=>[4,3,7,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,4,2,1,5,6,3]=>[4,3,7,2,5,6,1]=>[4,3,7,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,4,2,1,6,3,5]=>[4,3,6,2,7,5,1]=>[4,3,7,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,4,2,1,6,5,3]=>[4,3,7,2,6,5,1]=>[4,3,7,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,4,2,3,1,5,6]=>[5,3,4,2,6,7,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,4,2,3,1,6,5]=>[5,3,4,2,7,6,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,4,2,3,5,1,6]=>[6,3,4,2,5,7,1]=>[6,3,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,4,2,3,5,6,1]=>[7,3,4,2,5,6,1]=>[7,3,6,2,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,4,2,3,6,1,5]=>[6,3,4,2,7,5,1]=>[6,3,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,4,2,3,6,5,1]=>[7,3,4,2,6,5,1]=>[7,3,6,2,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,4,2,5,1,3,6]=>[5,3,6,2,4,7,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,4,2,5,1,6,3]=>[5,3,7,2,4,6,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,4,2,5,3,1,6]=>[6,3,5,2,4,7,1]=>[6,3,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,4,2,5,3,6,1]=>[7,3,5,2,4,6,1]=>[7,3,6,2,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,4,2,5,6,1,3]=>[6,3,7,2,4,5,1]=>[6,3,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,4,2,5,6,3,1]=>[7,3,6,2,4,5,1]=>[7,3,6,2,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,4,2,6,1,3,5]=>[5,3,6,2,7,4,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,4,2,6,1,5,3]=>[5,3,7,2,6,4,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,4,2,6,3,1,5]=>[6,3,5,2,7,4,1]=>[6,3,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,4,2,6,3,5,1]=>[7,3,5,2,6,4,1]=>[7,3,6,2,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,4,2,6,5,1,3]=>[6,3,7,2,5,4,1]=>[6,3,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,4,2,6,5,3,1]=>[7,3,6,2,5,4,1]=>[7,3,6,2,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,4,3,1,2,5,6]=>[4,5,3,2,6,7,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,4,3,1,2,6,5]=>[4,5,3,2,7,6,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,4,3,1,5,2,6]=>[4,6,3,2,5,7,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,4,3,1,5,6,2]=>[4,7,3,2,5,6,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,4,3,1,6,2,5]=>[4,6,3,2,7,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,4,3,1,6,5,2]=>[4,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,4,3,2,1,5,6]=>[5,4,3,2,6,7,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,4,3,2,1,6,5]=>[5,4,3,2,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,4,3,2,5,1,6]=>[6,4,3,2,5,7,1]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,4,3,2,5,6,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,3,2,6,1,5]=>[6,4,3,2,7,5,1]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,3,5,1,2,6]=>[5,6,3,2,4,7,1]=>[5,7,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,4,3,5,1,6,2]=>[5,7,3,2,4,6,1]=>[5,7,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,4,3,5,2,1,6]=>[6,5,3,2,4,7,1]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,4,3,5,2,6,1]=>[7,5,3,2,4,6,1]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,4,3,5,6,1,2]=>[6,7,3,2,4,5,1]=>[6,7,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,4,3,5,6,2,1]=>[7,6,3,2,4,5,1]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,4,3,6,1,2,5]=>[5,6,3,2,7,4,1]=>[5,7,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,4,3,6,1,5,2]=>[5,7,3,2,6,4,1]=>[5,7,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,4,3,6,2,1,5]=>[6,5,3,2,7,4,1]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,4,3,6,2,5,1]=>[7,5,3,2,6,4,1]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,4,3,6,5,1,2]=>[6,7,3,2,5,4,1]=>[6,7,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,4,3,6,5,2,1]=>[7,6,3,2,5,4,1]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,4,5,1,2,3,6]=>[4,5,6,2,3,7,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,5,1,2,6,3]=>[4,5,7,2,3,6,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,5,1,3,2,6]=>[4,6,5,2,3,7,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,5,1,3,6,2]=>[4,7,5,2,3,6,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,5,1,6,2,3]=>[4,6,7,2,3,5,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,5,1,6,3,2]=>[4,7,6,2,3,5,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,5,2,1,3,6]=>[5,4,6,2,3,7,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,4,5,2,1,6,3]=>[5,4,7,2,3,6,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,4,5,2,3,1,6]=>[6,4,5,2,3,7,1]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,4,5,2,3,6,1]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,5,2,6,1,3]=>[6,4,7,2,3,5,1]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,4,5,2,6,3,1]=>[7,4,6,2,3,5,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,5,3,1,2,6]=>[5,6,4,2,3,7,1]=>[5,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,4,5,3,1,6,2]=>[5,7,4,2,3,6,1]=>[5,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,4,5,3,2,1,6]=>[6,5,4,2,3,7,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[7,4,5,3,2,6,1]=>[7,5,4,2,3,6,1]=>[7,5,4,2,6,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,4,5,3,6,1,2]=>[6,7,4,2,3,5,1]=>[6,7,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,4,5,3,6,2,1]=>[7,6,4,2,3,5,1]=>[7,6,4,2,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,4,5,6,1,2,3]=>[5,6,7,2,3,4,1]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,4,5,6,1,3,2]=>[5,7,6,2,3,4,1]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,4,5,6,2,1,3]=>[6,5,7,2,3,4,1]=>[6,5,7,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,4,5,6,2,3,1]=>[7,5,6,2,3,4,1]=>[7,5,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,4,5,6,3,1,2]=>[6,7,5,2,3,4,1]=>[6,7,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,4,5,6,3,2,1]=>[7,6,5,2,3,4,1]=>[7,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,4,6,1,2,3,5]=>[4,5,6,2,7,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,6,1,2,5,3]=>[4,5,7,2,6,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,6,1,3,2,5]=>[4,6,5,2,7,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,6,1,3,5,2]=>[4,7,5,2,6,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,6,1,5,2,3]=>[4,6,7,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,6,1,5,3,2]=>[4,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,6,2,1,3,5]=>[5,4,6,2,7,3,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,4,6,2,1,5,3]=>[5,4,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,4,6,2,3,1,5]=>[6,4,5,2,7,3,1]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,4,6,2,3,5,1]=>[7,4,5,2,6,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,6,2,5,1,3]=>[6,4,7,2,5,3,1]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,6,3,1,2,5]=>[5,6,4,2,7,3,1]=>[5,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,4,6,3,1,5,2]=>[5,7,4,2,6,3,1]=>[5,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,4,6,3,2,1,5]=>[6,5,4,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[7,4,6,3,2,5,1]=>[7,5,4,2,6,3,1]=>[7,5,4,2,6,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,4,6,3,5,1,2]=>[6,7,4,2,5,3,1]=>[6,7,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,4,6,3,5,2,1]=>[7,6,4,2,5,3,1]=>[7,6,4,2,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,4,6,5,1,2,3]=>[5,6,7,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,4,6,5,1,3,2]=>[5,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,4,6,5,2,1,3]=>[6,5,7,2,4,3,1]=>[6,5,7,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,4,6,5,2,3,1]=>[7,5,6,2,4,3,1]=>[7,5,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,4,6,5,3,1,2]=>[6,7,5,2,4,3,1]=>[6,7,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,4,6,5,3,2,1]=>[7,6,5,2,4,3,1]=>[7,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,5,1,2,3,4,6]=>[3,4,5,6,2,7,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,2,3,6,4]=>[3,4,5,7,2,6,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,2,4,3,6]=>[3,4,6,5,2,7,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,2,4,6,3]=>[3,4,7,5,2,6,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,2,6,3,4]=>[3,4,6,7,2,5,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,2,6,4,3]=>[3,4,7,6,2,5,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,3,2,4,6]=>[3,5,4,6,2,7,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,3,2,6,4]=>[3,5,4,7,2,6,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,3,4,2,6]=>[3,6,4,5,2,7,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,3,4,6,2]=>[3,7,4,5,2,6,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,3,6,2,4]=>[3,6,4,7,2,5,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,3,6,4,2]=>[3,7,4,6,2,5,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,4,2,3,6]=>[3,5,6,4,2,7,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,4,2,6,3]=>[3,5,7,4,2,6,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,4,3,2,6]=>[3,6,5,4,2,7,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,4,3,6,2]=>[3,7,5,4,2,6,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,4,6,2,3]=>[3,6,7,4,2,5,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,4,6,3,2]=>[3,7,6,4,2,5,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,6,2,3,4]=>[3,5,6,7,2,4,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,6,2,4,3]=>[3,5,7,6,2,4,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,6,3,2,4]=>[3,6,5,7,2,4,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,6,3,4,2]=>[3,7,5,6,2,4,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,6,4,2,3]=>[3,6,7,5,2,4,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,1,6,4,3,2]=>[3,7,6,5,2,4,1]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,2,1,3,4,6]=>[4,3,5,6,2,7,1]=>[4,3,7,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,2,1,3,6,4]=>[4,3,5,7,2,6,1]=>[4,3,7,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,2,1,4,3,6]=>[4,3,6,5,2,7,1]=>[4,3,7,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,2,1,4,6,3]=>[4,3,7,5,2,6,1]=>[4,3,7,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,2,1,6,3,4]=>[4,3,6,7,2,5,1]=>[4,3,7,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,2,1,6,4,3]=>[4,3,7,6,2,5,1]=>[4,3,7,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,2,3,1,4,6]=>[5,3,4,6,2,7,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,2,3,1,6,4]=>[5,3,4,7,2,6,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,2,3,4,1,6]=>[6,3,4,5,2,7,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,5,2,3,4,6,1]=>[7,3,4,5,2,6,1]=>[7,3,6,5,2,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,5,2,3,6,1,4]=>[6,3,4,7,2,5,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,5,2,3,6,4,1]=>[7,3,4,6,2,5,1]=>[7,3,6,5,2,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,5,2,4,1,3,6]=>[5,3,6,4,2,7,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,2,4,1,6,3]=>[5,3,7,4,2,6,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,2,4,3,1,6]=>[6,3,5,4,2,7,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,5,2,4,3,6,1]=>[7,3,5,4,2,6,1]=>[7,3,6,5,2,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,5,2,4,6,1,3]=>[6,3,7,4,2,5,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,5,2,4,6,3,1]=>[7,3,6,4,2,5,1]=>[7,3,6,5,2,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,5,2,6,1,3,4]=>[5,3,6,7,2,4,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,2,6,1,4,3]=>[5,3,7,6,2,4,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,2,6,3,1,4]=>[6,3,5,7,2,4,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,5,2,6,3,4,1]=>[7,3,5,6,2,4,1]=>[7,3,6,5,2,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,5,2,6,4,1,3]=>[6,3,7,5,2,4,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,5,2,6,4,3,1]=>[7,3,6,5,2,4,1]=>[7,3,6,5,2,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,5,3,1,2,4,6]=>[4,5,3,6,2,7,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,3,1,2,6,4]=>[4,5,3,7,2,6,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,3,1,4,2,6]=>[4,6,3,5,2,7,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,3,1,4,6,2]=>[4,7,3,5,2,6,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,3,1,6,2,4]=>[4,6,3,7,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,3,1,6,4,2]=>[4,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,3,2,1,4,6]=>[5,4,3,6,2,7,1]=>[5,4,3,7,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,5,3,2,1,6,4]=>[5,4,3,7,2,6,1]=>[5,4,3,7,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,5,3,2,4,1,6]=>[6,4,3,5,2,7,1]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,5,3,2,4,6,1]=>[7,4,3,5,2,6,1]=>[7,4,3,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,5,3,2,6,1,4]=>[6,4,3,7,2,5,1]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,5,3,2,6,4,1]=>[7,4,3,6,2,5,1]=>[7,4,3,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,5,3,4,1,2,6]=>[5,6,3,4,2,7,1]=>[5,7,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,3,4,1,6,2]=>[5,7,3,4,2,6,1]=>[5,7,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,3,4,2,1,6]=>[6,5,3,4,2,7,1]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,5,3,4,2,6,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,3,4,6,1,2]=>[6,7,3,4,2,5,1]=>[6,7,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,5,3,4,6,2,1]=>[7,6,3,4,2,5,1]=>[7,6,3,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,5,3,6,1,2,4]=>[5,6,3,7,2,4,1]=>[5,7,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,3,6,1,4,2]=>[5,7,3,6,2,4,1]=>[5,7,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,3,6,2,1,4]=>[6,5,3,7,2,4,1]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,3,6,4,1,2]=>[6,7,3,5,2,4,1]=>[6,7,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,5,3,6,4,2,1]=>[7,6,3,5,2,4,1]=>[7,6,3,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,5,4,1,2,3,6]=>[4,5,6,3,2,7,1]=>[4,7,6,3,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,4,1,2,6,3]=>[4,5,7,3,2,6,1]=>[4,7,6,3,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,4,1,3,2,6]=>[4,6,5,3,2,7,1]=>[4,7,6,3,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,4,1,3,6,2]=>[4,7,5,3,2,6,1]=>[4,7,6,3,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,4,1,6,2,3]=>[4,6,7,3,2,5,1]=>[4,7,6,3,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,4,1,6,3,2]=>[4,7,6,3,2,5,1]=>[4,7,6,3,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,4,2,1,3,6]=>[5,4,6,3,2,7,1]=>[5,4,7,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,5,4,2,1,6,3]=>[5,4,7,3,2,6,1]=>[5,4,7,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,5,4,2,3,1,6]=>[6,4,5,3,2,7,1]=>[6,4,7,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,5,4,2,3,6,1]=>[7,4,5,3,2,6,1]=>[7,4,6,3,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,5,4,2,6,1,3]=>[6,4,7,3,2,5,1]=>[6,4,7,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,5,4,2,6,3,1]=>[7,4,6,3,2,5,1]=>[7,4,6,3,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,5,4,3,1,2,6]=>[5,6,4,3,2,7,1]=>[5,7,4,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,5,4,3,1,6,2]=>[5,7,4,3,2,6,1]=>[5,7,4,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,5,4,3,2,1,6]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],.],[.,.]]
[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,5,4,3,6,1,2]=>[6,7,4,3,2,5,1]=>[6,7,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,5,4,3,6,2,1]=>[7,6,4,3,2,5,1]=>[7,6,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,5,4,6,1,2,3]=>[5,6,7,3,2,4,1]=>[5,7,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,4,6,1,3,2]=>[5,7,6,3,2,4,1]=>[5,7,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,4,6,2,1,3]=>[6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,5,4,6,2,3,1]=>[7,5,6,3,2,4,1]=>[7,5,6,3,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,4,6,3,1,2]=>[6,7,5,3,2,4,1]=>[6,7,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,5,4,6,3,2,1]=>[7,6,5,3,2,4,1]=>[7,6,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,5,6,1,2,3,4]=>[4,5,6,7,2,3,1]=>[4,7,6,5,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,5,6,1,2,4,3]=>[4,5,7,6,2,3,1]=>[4,7,6,5,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,5,6,1,3,2,4]=>[4,6,5,7,2,3,1]=>[4,7,6,5,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,5,6,1,3,4,2]=>[4,7,5,6,2,3,1]=>[4,7,6,5,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,5,6,1,4,2,3]=>[4,6,7,5,2,3,1]=>[4,7,6,5,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,5,6,1,4,3,2]=>[4,7,6,5,2,3,1]=>[4,7,6,5,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,5,6,2,1,3,4]=>[5,4,6,7,2,3,1]=>[5,4,7,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,5,6,2,1,4,3]=>[5,4,7,6,2,3,1]=>[5,4,7,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,5,6,2,3,1,4]=>[6,4,5,7,2,3,1]=>[6,4,7,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,5,6,2,3,4,1]=>[7,4,5,6,2,3,1]=>[7,4,6,5,2,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,5,6,2,4,1,3]=>[6,4,7,5,2,3,1]=>[6,4,7,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,5,6,2,4,3,1]=>[7,4,6,5,2,3,1]=>[7,4,6,5,2,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,5,6,3,1,2,4]=>[5,6,4,7,2,3,1]=>[5,7,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,5,6,3,1,4,2]=>[5,7,4,6,2,3,1]=>[5,7,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,5,6,3,2,1,4]=>[6,5,4,7,2,3,1]=>[6,5,4,7,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[7,5,6,3,2,4,1]=>[7,5,4,6,2,3,1]=>[7,5,4,6,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,5,6,3,4,1,2]=>[6,7,4,5,2,3,1]=>[6,7,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,5,6,3,4,2,1]=>[7,6,4,5,2,3,1]=>[7,6,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,5,6,4,1,2,3]=>[5,6,7,4,2,3,1]=>[5,7,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,5,6,4,1,3,2]=>[5,7,6,4,2,3,1]=>[5,7,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,5,6,4,2,1,3]=>[6,5,7,4,2,3,1]=>[6,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,5,6,4,3,1,2]=>[6,7,5,4,2,3,1]=>[6,7,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[7,5,6,4,3,2,1]=>[7,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[7,6,1,2,3,4,5]=>[3,4,5,6,7,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,2,3,5,4]=>[3,4,5,7,6,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,2,4,3,5]=>[3,4,6,5,7,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,2,4,5,3]=>[3,4,7,5,6,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,2,5,3,4]=>[3,4,6,7,5,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,2,5,4,3]=>[3,4,7,6,5,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,3,2,4,5]=>[3,5,4,6,7,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,3,2,5,4]=>[3,5,4,7,6,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,3,4,2,5]=>[3,6,4,5,7,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,3,4,5,2]=>[3,7,4,5,6,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,3,5,2,4]=>[3,6,4,7,5,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,3,5,4,2]=>[3,7,4,6,5,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,4,2,3,5]=>[3,5,6,4,7,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,4,2,5,3]=>[3,5,7,4,6,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,4,3,2,5]=>[3,6,5,4,7,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,4,3,5,2]=>[3,7,5,4,6,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,4,5,2,3]=>[3,6,7,4,5,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,4,5,3,2]=>[3,7,6,4,5,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,5,2,3,4]=>[3,5,6,7,4,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,5,2,4,3]=>[3,5,7,6,4,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,5,3,2,4]=>[3,6,5,7,4,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,5,3,4,2]=>[3,7,5,6,4,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,5,4,2,3]=>[3,6,7,5,4,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,1,5,4,3,2]=>[3,7,6,5,4,2,1]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,2,1,3,4,5]=>[4,3,5,6,7,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,2,1,3,5,4]=>[4,3,5,7,6,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,2,1,4,3,5]=>[4,3,6,5,7,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,2,1,4,5,3]=>[4,3,7,5,6,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,2,1,5,3,4]=>[4,3,6,7,5,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,2,1,5,4,3]=>[4,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,2,3,1,4,5]=>[5,3,4,6,7,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,6,2,3,1,5,4]=>[5,3,4,7,6,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,6,2,3,4,1,5]=>[6,3,4,5,7,2,1]=>[6,3,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,6,2,3,4,5,1]=>[7,3,4,5,6,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,6,2,3,5,1,4]=>[6,3,4,7,5,2,1]=>[6,3,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,6,2,3,5,4,1]=>[7,3,4,6,5,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,6,2,4,1,3,5]=>[5,3,6,4,7,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,6,2,4,1,5,3]=>[5,3,7,4,6,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,6,2,4,3,1,5]=>[6,3,5,4,7,2,1]=>[6,3,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,6,2,4,3,5,1]=>[7,3,5,4,6,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,6,2,4,5,1,3]=>[6,3,7,4,5,2,1]=>[6,3,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,6,2,4,5,3,1]=>[7,3,6,4,5,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,6,2,5,1,3,4]=>[5,3,6,7,4,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,6,2,5,1,4,3]=>[5,3,7,6,4,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,6,2,5,3,1,4]=>[6,3,5,7,4,2,1]=>[6,3,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,6,2,5,3,4,1]=>[7,3,5,6,4,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,6,2,5,4,1,3]=>[6,3,7,5,4,2,1]=>[6,3,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,6,2,5,4,3,1]=>[7,3,6,5,4,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,6,3,1,2,4,5]=>[4,5,3,6,7,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,3,1,2,5,4]=>[4,5,3,7,6,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,3,1,4,2,5]=>[4,6,3,5,7,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,3,1,4,5,2]=>[4,7,3,5,6,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,3,1,5,2,4]=>[4,6,3,7,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,3,1,5,4,2]=>[4,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,3,2,1,4,5]=>[5,4,3,6,7,2,1]=>[5,4,3,7,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,6,3,2,1,5,4]=>[5,4,3,7,6,2,1]=>[5,4,3,7,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,6,3,2,4,1,5]=>[6,4,3,5,7,2,1]=>[6,4,3,7,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,6,3,2,4,5,1]=>[7,4,3,5,6,2,1]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,6,3,2,5,1,4]=>[6,4,3,7,5,2,1]=>[6,4,3,7,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,6,3,2,5,4,1]=>[7,4,3,6,5,2,1]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,6,3,4,1,2,5]=>[5,6,3,4,7,2,1]=>[5,7,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,6,3,4,1,5,2]=>[5,7,3,4,6,2,1]=>[5,7,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,6,3,4,2,1,5]=>[6,5,3,4,7,2,1]=>[6,5,3,7,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,6,3,4,2,5,1]=>[7,5,3,4,6,2,1]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,6,3,4,5,1,2]=>[6,7,3,4,5,2,1]=>[6,7,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,6,3,4,5,2,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,3,5,1,2,4]=>[5,6,3,7,4,2,1]=>[5,7,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,6,3,5,1,4,2]=>[5,7,3,6,4,2,1]=>[5,7,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,6,3,5,2,1,4]=>[6,5,3,7,4,2,1]=>[6,5,3,7,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,6,3,5,2,4,1]=>[7,5,3,6,4,2,1]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,6,3,5,4,1,2]=>[6,7,3,5,4,2,1]=>[6,7,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,4,1,2,3,5]=>[4,5,6,3,7,2,1]=>[4,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,4,1,2,5,3]=>[4,5,7,3,6,2,1]=>[4,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,4,1,3,2,5]=>[4,6,5,3,7,2,1]=>[4,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,4,1,3,5,2]=>[4,7,5,3,6,2,1]=>[4,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,4,1,5,2,3]=>[4,6,7,3,5,2,1]=>[4,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,4,1,5,3,2]=>[4,7,6,3,5,2,1]=>[4,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,4,2,1,3,5]=>[5,4,6,3,7,2,1]=>[5,4,7,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,6,4,2,1,5,3]=>[5,4,7,3,6,2,1]=>[5,4,7,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,6,4,2,3,1,5]=>[6,4,5,3,7,2,1]=>[6,4,7,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,6,4,2,3,5,1]=>[7,4,5,3,6,2,1]=>[7,4,6,3,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,6,4,2,5,1,3]=>[6,4,7,3,5,2,1]=>[6,4,7,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,6,4,2,5,3,1]=>[7,4,6,3,5,2,1]=>[7,4,6,3,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,6,4,3,1,2,5]=>[5,6,4,3,7,2,1]=>[5,7,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,6,4,3,1,5,2]=>[5,7,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,6,4,3,2,1,5]=>[6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]
[7,6,4,3,2,5,1]=>[7,5,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,6,4,3,5,1,2]=>[6,7,4,3,5,2,1]=>[6,7,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,6,4,5,1,2,3]=>[5,6,7,3,4,2,1]=>[5,7,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,6,4,5,1,3,2]=>[5,7,6,3,4,2,1]=>[5,7,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,6,4,5,2,1,3]=>[6,5,7,3,4,2,1]=>[6,5,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,6,4,5,2,3,1]=>[7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,6,4,5,3,1,2]=>[6,7,5,3,4,2,1]=>[6,7,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,6,4,5,3,2,1]=>[7,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,6,5,1,2,3,4]=>[4,5,6,7,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,5,1,2,4,3]=>[4,5,7,6,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,5,1,3,2,4]=>[4,6,5,7,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,5,1,3,4,2]=>[4,7,5,6,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,5,1,4,2,3]=>[4,6,7,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,5,1,4,3,2]=>[4,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,5,2,1,3,4]=>[5,4,6,7,3,2,1]=>[5,4,7,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,6,5,2,1,4,3]=>[5,4,7,6,3,2,1]=>[5,4,7,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,6,5,2,3,1,4]=>[6,4,5,7,3,2,1]=>[6,4,7,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,6,5,2,3,4,1]=>[7,4,5,6,3,2,1]=>[7,4,6,5,3,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,6,5,2,4,1,3]=>[6,4,7,5,3,2,1]=>[6,4,7,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,6,5,2,4,3,1]=>[7,4,6,5,3,2,1]=>[7,4,6,5,3,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,6,5,3,1,2,4]=>[5,6,4,7,3,2,1]=>[5,7,4,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,6,5,3,1,4,2]=>[5,7,4,6,3,2,1]=>[5,7,4,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,6,5,3,2,1,4]=>[6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]
[7,6,5,3,2,4,1]=>[7,5,4,6,3,2,1]=>[7,5,4,6,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,6,5,3,4,1,2]=>[6,7,4,5,3,2,1]=>[6,7,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,6,5,3,4,2,1]=>[7,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,6,5,4,1,2,3]=>[5,6,7,4,3,2,1]=>[5,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,6,5,4,1,3,2]=>[5,7,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,6,5,4,2,1,3]=>[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]
[7,6,5,4,2,3,1]=>[7,5,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[8,6,5,7,3,2,4,1]=>[8,6,5,7,3,2,4,1]=>[8,6,5,7,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[8,5,6,7,2,3,4,1]=>[8,5,6,7,2,3,4,1]=>[8,5,7,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[7,6,8,5,4,2,1,3]=>[7,6,8,5,4,2,1,3]=>[7,6,8,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[6,7,8,5,4,1,2,3]=>[6,7,8,5,4,1,2,3]=>[6,8,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]
[7,6,5,8,3,2,1,4]=>[7,6,5,8,3,2,1,4]=>[7,6,5,8,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[7,5,6,8,2,3,1,4]=>[7,5,6,8,2,3,1,4]=>[7,5,8,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[6,7,5,8,3,1,2,4]=>[6,7,5,8,3,1,2,4]=>[6,8,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[6,5,7,8,2,1,3,4]=>[6,5,7,8,2,1,3,4]=>[6,5,8,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[5,6,7,8,1,2,3,4]=>[5,6,7,8,1,2,3,4]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,8,5,4,7,6,3]=>[2,1,8,5,4,7,6,3]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[6,3,2,5,4,1,8,7]=>[6,3,2,5,4,1,8,7]=>[6,3,2,8,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[8,3,2,5,4,7,6,1]=>[8,3,2,5,4,7,6,1]=>[8,3,2,7,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[8,3,2,7,6,5,4,1]=>[8,3,2,7,6,5,4,1]=>[8,3,2,7,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[8,5,4,3,2,7,6,1]=>[8,5,4,3,2,7,6,1]=>[8,5,4,3,2,7,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[8,7,4,3,6,5,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,4,3,6,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[2,1,4,3,7,8,5,6]=>[2,1,4,3,7,8,5,6]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,5,6,3,4,8,7]=>[2,1,5,6,3,4,8,7]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,5,7,3,8,4,6]=>[2,1,5,7,3,8,4,6]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,6,7,8,3,4,5]=>[2,1,6,7,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[3,4,1,2,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[3,4,1,2,7,8,5,6]=>[3,4,1,2,7,8,5,6]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[3,5,1,6,2,4,8,7]=>[3,5,1,6,2,4,8,7]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[3,5,1,7,2,8,4,6]=>[3,5,1,7,2,8,4,6]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[3,6,1,7,8,2,4,5]=>[3,6,1,7,8,2,4,5]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[4,5,6,1,2,3,8,7]=>[4,5,6,1,2,3,8,7]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[4,5,7,1,2,8,3,6]=>[4,5,7,1,2,8,3,6]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[4,6,7,1,8,2,3,5]=>[4,6,7,1,8,2,3,5]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[5,3,2,6,1,4,8,7]=>[5,3,2,6,1,4,8,7]=>[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[7,3,2,5,4,8,1,6]=>[7,3,2,5,4,8,1,6]=>[7,3,2,8,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[8,4,5,2,3,7,6,1]=>[8,4,5,2,3,7,6,1]=>[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[7,4,5,2,3,8,1,6]=>[7,4,5,2,3,8,1,6]=>[7,4,8,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[6,4,5,2,3,1,8,7]=>[6,4,5,2,3,1,8,7]=>[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[5,4,6,2,1,3,8,7]=>[5,4,6,2,1,3,8,7]=>[5,4,8,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[3,6,1,5,4,2,8,7]=>[3,6,1,5,4,2,8,7]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[4,6,5,1,3,2,8,7]=>[4,6,5,1,3,2,8,7]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[5,6,4,3,1,2,8,7]=>[5,6,4,3,1,2,8,7]=>[5,8,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[7,5,4,3,2,8,1,6]=>[7,5,4,3,2,8,1,6]=>[7,5,4,3,2,8,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[8,6,4,3,7,2,5,1]=>[8,6,4,3,7,2,5,1]=>[8,6,4,3,7,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[7,6,4,3,8,2,1,5]=>[7,6,4,3,8,2,1,5]=>[7,6,4,3,8,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[6,7,4,3,8,1,2,5]=>[6,7,4,3,8,1,2,5]=>[6,8,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[5,7,4,3,1,8,2,6]=>[5,7,4,3,1,8,2,6]=>[5,8,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[4,7,5,1,3,8,2,6]=>[4,7,5,1,3,8,2,6]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[3,7,1,5,4,8,2,6]=>[3,7,1,5,4,8,2,6]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[2,1,7,5,4,8,3,6]=>[2,1,7,5,4,8,3,6]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[3,8,1,5,4,7,6,2]=>[3,8,1,5,4,7,6,2]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[4,8,5,1,3,7,6,2]=>[4,8,5,1,3,7,6,2]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[5,8,4,3,1,7,6,2]=>[5,8,4,3,1,7,6,2]=>[5,8,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[6,8,4,3,7,1,5,2]=>[6,8,4,3,7,1,5,2]=>[6,8,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[7,8,4,3,6,5,1,2]=>[7,8,4,3,6,5,1,2]=>[7,8,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[6,8,5,7,3,1,4,2]=>[6,8,5,7,3,1,4,2]=>[6,8,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[5,8,6,7,1,3,4,2]=>[5,8,6,7,1,3,4,2]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[4,8,6,1,7,3,5,2]=>[4,8,6,1,7,3,5,2]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[3,8,1,6,7,4,5,2]=>[3,8,1,6,7,4,5,2]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[2,1,8,6,7,4,5,3]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,7,6,8,4,3,5]=>[2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[3,7,1,6,8,4,2,5]=>[3,7,1,6,8,4,2,5]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[4,7,6,1,8,3,2,5]=>[4,7,6,1,8,3,2,5]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[5,7,6,8,1,3,2,4]=>[5,7,6,8,1,3,2,4]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[5,4,7,2,1,8,3,6]=>[5,4,7,2,1,8,3,6]=>[5,4,8,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[6,4,7,2,8,1,3,5]=>[6,4,7,2,8,1,3,5]=>[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[7,4,6,2,8,3,1,5]=>[7,4,6,2,8,3,1,5]=>[7,4,8,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[8,4,6,2,7,3,5,1]=>[8,4,6,2,7,3,5,1]=>[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[8,3,2,6,7,4,5,1]=>[8,3,2,6,7,4,5,1]=>[8,3,2,7,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[7,3,2,6,8,4,1,5]=>[7,3,2,6,8,4,1,5]=>[7,3,2,8,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[6,3,2,7,8,1,4,5]=>[6,3,2,7,8,1,4,5]=>[6,3,2,8,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[5,3,2,7,1,8,4,6]=>[5,3,2,7,1,8,4,6]=>[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[4,3,2,1,7,8,5,6]=>[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[3,4,1,2,8,7,6,5]=>[3,4,1,2,8,7,6,5]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[5,3,2,8,1,7,6,4]=>[5,3,2,8,1,7,6,4]=>[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[6,3,2,8,7,1,5,4]=>[6,3,2,8,7,1,5,4]=>[6,3,2,8,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[7,3,2,8,6,5,1,4]=>[7,3,2,8,6,5,1,4]=>[7,3,2,8,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[8,4,7,2,6,5,3,1]=>[8,4,7,2,6,5,3,1]=>[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[7,4,8,2,6,5,1,3]=>[7,4,8,2,6,5,1,3]=>[7,4,8,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[6,4,8,2,7,1,5,3]=>[6,4,8,2,7,1,5,3]=>[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[5,4,8,2,1,7,6,3]=>[5,4,8,2,1,7,6,3]=>[5,4,8,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[4,5,8,1,2,7,6,3]=>[4,5,8,1,2,7,6,3]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[3,5,1,8,2,7,6,4]=>[3,5,1,8,2,7,6,4]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[2,1,5,8,3,7,6,4]=>[2,1,5,8,3,7,6,4]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,6,8,7,3,5,4]=>[2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[3,6,1,8,7,2,5,4]=>[3,6,1,8,7,2,5,4]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[4,6,8,1,7,2,5,3]=>[4,6,8,1,7,2,5,3]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[5,6,8,7,1,2,4,3]=>[5,6,8,7,1,2,4,3]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[6,5,8,7,2,1,4,3]=>[6,5,8,7,2,1,4,3]=>[6,5,8,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[7,5,8,6,2,4,1,3]=>[7,5,8,6,2,4,1,3]=>[7,5,8,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[8,5,7,6,2,4,3,1]=>[8,5,7,6,2,4,3,1]=>[8,5,7,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[5,7,8,6,1,4,2,3]=>[5,7,8,6,1,4,2,3]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[4,7,8,1,6,5,2,3]=>[4,7,8,1,6,5,2,3]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[3,7,1,8,6,5,2,4]=>[3,7,1,8,6,5,2,4]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[2,1,7,8,6,5,3,4]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[3,8,1,7,6,5,4,2]=>[3,8,1,7,6,5,4,2]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[4,8,7,1,6,5,3,2]=>[4,8,7,1,6,5,3,2]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[5,8,7,6,1,4,3,2]=>[5,8,7,6,1,4,3,2]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[6,8,7,5,4,1,3,2]=>[6,8,7,5,4,1,3,2]=>[6,8,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]
[6,5,8,7,3,4,1,2]=>[7,8,5,6,2,1,4,3]=>[7,8,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[5,4,3,8,7,6,1,2]=>[7,8,3,2,1,6,5,4]=>[7,8,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[6,4,8,3,7,5,1,2]=>[7,8,4,2,6,1,5,3]=>[7,8,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[6,3,8,2,1,7,5,4]=>[5,4,2,8,7,1,6,3]=>[5,4,2,8,7,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[7,8,3,2,1,6,5,4]=>[5,4,3,8,7,6,1,2]=>[5,4,3,8,7,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[7,8,4,2,6,1,5,3]=>[6,4,8,3,7,5,1,2]=>[6,4,8,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[5,4,2,8,7,1,6,3]=>[6,3,8,2,1,7,5,4]=>[6,3,8,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[7,8,5,6,2,1,4,3]=>[6,5,8,7,3,4,1,2]=>[6,5,8,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
Map
inverse
Description
Sends a permutation to its inverse.
Map
Simion-Schmidt map
Description
The Simion-Schmidt map sends any permutation to a $123$-avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
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.
searching the database
Sorry, this map was not found in the database.