Identifier
Mp00159:
Permutations
—Demazure product with 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]=>[3,2,1]=>[3,2,1]=>[[[.,.],.],.]
[3,1,2]=>[3,2,1]=>[3,2,1]=>[[[.,.],.],.]
[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]=>[1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,2,3]=>[1,4,3,2]=>[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]=>[3,2,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[2,3,4,1]=>[4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[2,4,1,3]=>[3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,4,3,1]=>[4,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[3,1,2,4]=>[3,2,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[3,1,4,2]=>[4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[3,2,4,1]=>[4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[3,4,1,2]=>[4,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[3,4,2,1]=>[4,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[4,1,2,3]=>[4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[4,1,3,2]=>[4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[4,2,1,3]=>[4,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[4,2,3,1]=>[4,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[4,3,1,2]=>[4,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[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]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,3,4]=>[1,2,5,4,3]=>[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]=>[1,4,3,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,5,2]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,2,4]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,4,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,3,5]=>[1,4,3,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,5,3]=>[1,5,3,4,2]=>[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]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,5,2,3]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,5,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,3,4]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,4,3]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,2,4]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,4,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,4,2,3]=>[1,5,4,3,2]=>[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]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,3,4]=>[2,1,5,4,3]=>[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]=>[3,2,1,4,5]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[2,3,1,5,4]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[2,3,4,1,5]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[2,3,4,5,1]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[2,3,5,1,4]=>[4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[2,3,5,4,1]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[2,4,1,3,5]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,5,3]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,3,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[2,4,3,5,1]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[2,4,5,1,3]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,4,5,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[2,5,1,3,4]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,1,4,3]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,3,1,4]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,5,3,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[2,5,4,1,3]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,5,4,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[3,1,2,4,5]=>[3,2,1,4,5]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,1,2,5,4]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,1,4,2,5]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,4,5,2]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[3,1,5,2,4]=>[4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,5,4,2]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[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]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,4,5,1]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[3,2,5,1,4]=>[4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,5,4,1]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[3,4,1,2,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[3,4,1,5,2]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[3,4,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[3,4,2,5,1]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[3,4,5,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[3,4,5,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[3,5,1,2,4]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[3,5,1,4,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[3,5,2,1,4]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[3,5,2,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[3,5,4,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[3,5,4,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[4,1,2,3,5]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,1,2,5,3]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[4,1,3,2,5]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,1,3,5,2]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[4,1,5,2,3]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[4,1,5,3,2]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[4,2,1,3,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,2,1,5,3]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[4,2,3,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,2,3,5,1]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[4,2,5,1,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[4,2,5,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[4,3,1,2,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,3,1,5,2]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,3,2,5,1]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[4,3,5,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[4,3,5,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[4,5,1,2,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[4,5,1,3,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[4,5,2,1,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[4,5,2,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[4,5,3,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[4,5,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,1,2,3,4]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,1,2,4,3]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,1,3,2,4]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,1,3,4,2]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,1,4,2,3]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,1,4,3,2]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,2,1,3,4]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[5,2,1,4,3]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[5,2,3,1,4]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,2,3,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,2,4,1,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,2,4,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,3,1,2,4]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,3,1,4,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,3,2,1,4]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,3,2,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,3,4,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,3,4,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,4,1,2,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,4,1,3,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,4,2,1,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,4,2,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,4,3,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[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]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>[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]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,3,5]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,5,3]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,4,2,5,3,6]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,4,3,5,2,6]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,4,5,2,3,6]=>[1,5,4,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,4,5,3,2,6]=>[1,5,4,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,5,2,3,4,6]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,6,4]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,5,3,2,4,6]=>[1,5,4,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,5,4,2,6,3]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
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[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
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[2,1,4,6,3,5]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
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[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,1,6,4,5]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[2,3,4,6,1,5]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[2,3,4,6,5,1]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[2,3,5,1,4,6]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,5,1,6,4]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,5,4,1,6]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[2,3,5,4,6,1]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[2,3,5,6,1,4]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[2,3,5,6,4,1]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[2,3,6,1,4,5]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,6,1,5,4]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,6,4,1,5]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[2,3,6,4,5,1]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[2,3,6,5,1,4]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[2,3,6,5,4,1]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[2,4,1,3,5,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,6,5]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,3,6]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,6,3]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,3,5]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,5,3]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,3,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[2,4,3,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[2,4,3,5,1,6]=>[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[2,4,3,5,6,1]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[2,4,3,6,1,5]=>[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[2,4,3,6,5,1]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[2,4,5,1,3,6]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,4,5,1,6,3]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,4,5,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[2,4,5,3,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[2,4,5,6,1,3]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,4,5,6,3,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[2,4,6,1,3,5]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,1,5,3]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,3,1,5]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[2,4,6,3,5,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[2,4,6,5,1,3]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,4,6,5,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[2,5,1,3,4,6]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,6,4]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,3,6]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,6,3]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,3,4]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,4,3]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,3,1,4,6]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,5,3,1,6,4]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,5,3,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[2,5,3,4,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[2,5,3,6,1,4]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,5,3,6,4,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[2,5,4,1,3,6]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,5,4,1,6,3]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,5,4,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[2,5,4,3,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[2,5,4,6,1,3]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,5,4,6,3,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[2,5,6,1,3,4]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,1,4,3]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,3,1,4]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,5,6,3,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[2,5,6,4,1,3]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,5,6,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[2,6,1,3,4,5]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,5,4]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,3,5]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,5,3]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,3,4]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,4,3]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,3,1,4,5]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,6,3,1,5,4]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,6,3,4,1,5]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,6,3,4,5,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[2,6,3,5,1,4]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,6,3,5,4,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[2,6,4,1,3,5]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,1,5,3]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,3,1,5]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,6,4,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[2,6,4,5,1,3]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,6,4,5,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[2,6,5,1,3,4]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,5,1,4,3]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,5,3,1,4]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,6,5,3,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[2,6,5,4,1,3]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,6,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[3,1,2,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,1,2,4,6,5]=>[3,2,1,4,6,5]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,1,2,5,4,6]=>[3,2,1,5,4,6]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,1,2,5,6,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,1,2,6,4,5]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,1,2,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,1,4,2,5,6]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,1,4,2,6,5]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,1,4,5,2,6]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,4,5,6,2]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,1,4,6,2,5]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,4,6,5,2]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,1,5,2,4,6]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,1,5,2,6,4]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,1,5,4,2,6]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,5,4,6,2]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,1,5,6,2,4]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,5,6,4,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,1,6,2,4,5]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,1,6,2,5,4]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,1,6,4,2,5]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,6,4,5,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,1,6,5,2,4]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,6,5,4,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[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]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,4,5]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,5,6]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,1,6,5]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,5,1,6]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,5,6,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,4,6,1,5]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,6,5,1]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,5,1,4,6]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,1,6,4]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,4,1,6]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,4,6,1]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,5,6,1,4]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,6,4,1]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,6,1,4,5]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,1,5,4]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,4,1,5]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,6,4,5,1]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,6,5,1,4]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,6,5,4,1]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,4,1,2,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[3,4,1,2,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[3,4,1,5,2,6]=>[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[3,4,1,5,6,2]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[3,4,1,6,2,5]=>[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[3,4,1,6,5,2]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[3,4,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[3,4,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[3,4,2,5,1,6]=>[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[3,4,2,5,6,1]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[3,4,2,6,1,5]=>[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[3,4,2,6,5,1]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[3,4,5,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[3,4,5,1,6,2]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[3,4,5,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[3,4,5,2,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[3,4,5,6,1,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[3,4,5,6,2,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[3,4,6,1,2,5]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,4,6,1,5,2]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[3,4,6,2,1,5]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,4,6,2,5,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[3,4,6,5,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[3,4,6,5,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[3,5,1,2,4,6]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,1,2,6,4]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,1,4,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[3,5,1,4,6,2]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[3,5,1,6,2,4]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,1,6,4,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[3,5,2,1,4,6]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,1,6,4]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[3,5,2,4,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[3,5,2,6,1,4]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,2,6,4,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[3,5,4,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[3,5,4,1,6,2]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[3,5,4,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[3,5,4,2,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[3,5,4,6,1,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[3,5,4,6,2,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[3,5,6,1,2,4]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[3,5,6,1,4,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[3,5,6,2,1,4]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[3,5,6,2,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[3,5,6,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[3,5,6,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[3,6,1,2,4,5]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,1,2,5,4]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,1,4,2,5]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,1,4,5,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[3,6,1,5,2,4]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,1,5,4,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[3,6,2,1,4,5]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,1,5,4]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,4,1,5]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,2,4,5,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[3,6,2,5,1,4]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[3,6,4,1,2,5]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[3,6,4,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[3,6,4,2,1,5]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[3,6,4,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[3,6,4,5,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[3,6,4,5,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[3,6,5,1,2,4]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[3,6,5,1,4,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[3,6,5,2,1,4]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[3,6,5,2,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[3,6,5,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[3,6,5,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,1,2,3,5,6]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,1,2,3,6,5]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,1,2,5,3,6]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,2,5,6,3]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,1,2,6,3,5]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,2,6,5,3]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,1,3,2,5,6]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,1,3,2,6,5]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,1,3,5,2,6]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,3,5,6,2]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,1,3,6,2,5]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,3,6,5,2]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,1,5,2,3,6]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,5,2,6,3]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,1,5,3,2,6]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,5,3,6,2]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,1,5,6,2,3]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,1,5,6,3,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,1,6,2,3,5]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,6,2,5,3]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,1,6,3,2,5]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,6,3,5,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,1,6,5,2,3]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,1,6,5,3,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,1,3,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,2,1,3,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,2,1,5,3,6]=>[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,2,1,5,6,3]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,2,1,6,3,5]=>[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,2,1,6,5,3]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,2,3,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,2,3,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,2,3,5,1,6]=>[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,2,3,5,6,1]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,2,3,6,1,5]=>[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,2,3,6,5,1]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,2,5,1,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[4,2,5,1,6,3]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[4,2,5,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[4,2,5,3,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[4,2,5,6,1,3]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[4,2,5,6,3,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[4,2,6,1,3,5]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[4,2,6,1,5,3]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[4,2,6,3,1,5]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[4,2,6,3,5,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[4,2,6,5,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,2,6,5,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,3,1,2,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,1,2,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,1,5,2,6]=>[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,1,5,6,2]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,3,1,6,2,5]=>[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,1,6,5,2]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[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]=>[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,2,5,6,1]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,3,2,6,1,5]=>[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,2,6,5,1]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,3,5,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[4,3,5,1,6,2]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[4,3,5,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[4,3,5,2,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[4,3,5,6,1,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[4,3,5,6,2,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[4,3,6,1,2,5]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[4,3,6,1,5,2]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[4,3,6,2,1,5]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[4,3,6,2,5,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[4,3,6,5,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,3,6,5,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,5,1,2,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[4,5,1,2,6,3]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[4,5,1,3,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[4,5,1,3,6,2]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[4,5,1,6,2,3]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[4,5,1,6,3,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[4,5,2,1,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[4,5,2,1,6,3]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[4,5,2,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[4,5,2,3,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[4,5,2,6,1,3]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[4,5,2,6,3,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[4,5,3,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[4,5,3,1,6,2]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[4,5,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[4,5,3,2,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[4,5,3,6,1,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[4,5,3,6,2,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[4,5,6,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,5,6,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,5,6,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,5,6,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,5,6,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,5,6,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,6,1,2,3,5]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,1,2,5,3]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[4,6,1,3,2,5]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,1,3,5,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[4,6,1,5,2,3]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[4,6,1,5,3,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[4,6,2,1,3,5]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[4,6,2,1,5,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,6,2,3,1,5]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[4,6,2,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,6,2,5,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,6,2,5,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,6,3,1,2,5]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[4,6,3,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,6,3,2,1,5]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[4,6,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,6,3,5,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,6,3,5,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,6,5,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,6,5,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,6,5,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,6,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,6,5,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[4,6,5,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,1,2,3,4,6]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,2,3,6,4]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,2,4,3,6]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,2,4,6,3]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,2,6,3,4]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,2,6,4,3]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,3,2,4,6]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,2,6,4]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,3,4,2,6]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,4,6,2]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,3,6,2,4]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,3,6,4,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,4,2,3,6]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,4,2,6,3]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,4,3,2,6]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,4,3,6,2]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,4,6,2,3]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,4,6,3,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,6,2,3,4]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,6,2,4,3]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,6,3,2,4]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,6,3,4,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,6,4,2,3]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,1,6,4,3,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,1,3,4,6]=>[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,2,1,3,6,4]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[5,2,1,4,3,6]=>[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,2,1,4,6,3]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[5,2,1,6,3,4]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[5,2,1,6,4,3]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[5,2,3,1,4,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,2,3,1,6,4]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,2,3,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,2,3,4,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,2,3,6,1,4]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,2,3,6,4,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,2,4,1,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,2,4,1,6,3]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,2,4,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,2,4,3,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,2,4,6,1,3]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,2,4,6,3,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,2,6,1,3,4]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,2,6,1,4,3]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,2,6,3,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,2,6,3,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,2,6,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,2,6,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,3,1,2,4,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,3,1,2,6,4]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,3,1,4,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,3,1,4,6,2]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,3,1,6,2,4]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,3,1,6,4,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,3,2,1,4,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,3,2,1,6,4]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,3,2,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,3,2,4,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,3,2,6,1,4]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,3,2,6,4,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,3,4,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,3,4,1,6,2]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,3,4,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,3,4,2,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,3,4,6,1,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,3,4,6,2,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,3,6,1,2,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,3,6,1,4,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,3,6,2,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,3,6,2,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,3,6,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,3,6,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,4,1,2,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,1,2,6,3]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,4,1,3,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,1,3,6,2]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,4,1,6,2,3]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,4,1,6,3,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,4,2,1,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,2,1,6,3]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,4,2,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,2,3,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,4,2,6,1,3]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,4,2,6,3,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,4,3,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,1,6,2]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,2,6,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,4,3,6,1,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,4,3,6,2,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,4,6,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,4,6,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,4,6,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,4,6,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,4,6,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,4,6,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,1,2,3,4]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,6,1,2,4,3]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,6,1,3,2,4]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,6,1,3,4,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,6,1,4,2,3]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,6,1,4,3,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[5,6,2,1,3,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,2,1,4,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,2,3,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,2,3,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,2,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,2,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,3,1,2,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,3,1,4,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,3,2,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,3,2,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,4,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,4,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,4,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,4,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[5,6,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,1,2,3,4,5]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,2,3,5,4]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,2,4,3,5]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,2,4,5,3]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,2,5,3,4]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,2,5,4,3]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,3,2,4,5]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,3,2,5,4]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,3,4,2,5]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,3,4,5,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,3,5,2,4]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,3,5,4,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,4,2,3,5]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,4,2,5,3]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,4,3,2,5]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,4,3,5,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,4,5,2,3]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,4,5,3,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,5,2,3,4]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,5,2,4,3]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,5,3,2,4]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,5,3,4,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,5,4,2,3]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,1,5,4,3,2]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,1,3,4,5]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,2,1,3,5,4]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,2,1,4,3,5]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,2,1,4,5,3]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,2,1,5,3,4]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,2,1,5,4,3]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,2,3,1,4,5]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,2,3,1,5,4]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,2,3,4,1,5]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,2,3,4,5,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,2,3,5,1,4]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,2,3,5,4,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,2,4,1,3,5]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,2,4,1,5,3]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,2,4,3,1,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,2,4,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,2,4,5,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,2,4,5,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,2,5,1,3,4]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,2,5,1,4,3]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,2,5,3,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,2,5,3,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,2,5,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,3,1,2,4,5]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,3,1,2,5,4]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,3,1,4,2,5]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,3,1,4,5,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,3,1,5,2,4]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,3,1,5,4,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,3,2,1,4,5]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,3,2,1,5,4]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,3,2,4,1,5]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,3,2,5,1,4]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,3,4,1,2,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,3,4,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,3,4,2,1,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,3,4,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,3,4,5,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,3,4,5,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,3,5,1,2,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,3,5,1,4,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,3,5,2,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
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[6,3,5,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
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[6,4,1,2,3,5]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,4,1,2,5,3]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,4,1,3,2,5]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,4,1,3,5,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,4,1,5,2,3]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,4,1,5,3,2]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,4,2,1,3,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,4,2,1,5,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,4,2,3,1,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,4,2,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,4,2,5,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
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[6,4,3,1,2,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,4,3,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,4,3,2,1,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
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[6,4,3,5,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,4,3,5,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,4,5,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,4,5,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,4,5,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
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[1,5,2,4,3,6,7]=>[1,5,3,4,2,6,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,2,4,6,3,7]=>[1,6,3,4,5,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,2,6,3,4,7]=>[1,6,3,5,4,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,2,6,4,3,7]=>[1,6,3,5,4,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,3,2,4,7,6]=>[1,5,4,3,2,7,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,2,6,4,7]=>[1,6,4,3,5,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,3,4,2,6,7]=>[1,5,4,3,2,6,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,3,4,6,2,7]=>[1,6,4,3,5,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,4,2,6,3,7]=>[1,6,4,3,5,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,6,2,5,3,4,7]=>[1,6,3,5,4,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,6,3,2,4,7,5]=>[1,7,4,3,5,6,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,2,5,4,7]=>[1,6,4,3,5,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,5,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,4,3,2,6]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,4,6,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,4,6,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,2,3,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,2,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,3,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,3,4,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,3,5,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,4,3,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,4,5,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,5,3,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,5,4,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,2,4,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,2,5,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,4,2,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,4,5,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,2,3,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,2,5,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,3,2,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,3,5,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,2,3,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,2,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,3,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,4,2,3]=>[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]=>[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]=>[2,1,3,4,7,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,7,5,6]=>[2,1,3,4,7,6,5]=>[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]=>[2,1,3,6,5,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,7,4,6]=>[2,1,3,6,7,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,7,6,4]=>[2,1,3,7,6,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,4,5,7]=>[2,1,3,6,5,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,4,7,5]=>[2,1,3,7,5,6,4]=>[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]=>[2,1,3,7,5,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,7,4,5]=>[2,1,3,7,6,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,7,5,4]=>[2,1,3,7,6,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,4,5,6]=>[2,1,3,7,5,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,4,6,5]=>[2,1,3,7,5,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,5,4,6]=>[2,1,3,7,6,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,5,6,4]=>[2,1,3,7,6,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,6,4,5]=>[2,1,3,7,6,5,4]=>[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]=>[2,1,4,3,7,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,7,5,6]=>[2,1,4,3,7,6,5]=>[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]=>[2,1,5,4,3,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,7,3,6]=>[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,7,6,3]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,3,5,7]=>[2,1,5,6,3,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,3,7,5]=>[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,5,3,7]=>[2,1,6,5,4,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,5,7,3]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,7,3,5]=>[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,7,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,3,5,6]=>[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,3,6,5]=>[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,5,3,6]=>[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,5,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,6,3,5]=>[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,6,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,4,6,7]=>[2,1,5,4,3,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,4,7,6]=>[2,1,5,4,3,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,6,4,7]=>[2,1,6,4,5,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,6,7,4]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,7,4,6]=>[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,7,6,4]=>[2,1,7,4,6,5,3]=>[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]=>[2,1,6,4,5,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,6,7,3]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,7,3,6]=>[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,7,6,3]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,3,4,7]=>[2,1,6,5,4,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,3,7,4]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,4,3,7]=>[2,1,6,5,4,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,4,7,3]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,7,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,7,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,3,4,6]=>[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,4,3,6]=>[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,4,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,6,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,6,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,4,5,7]=>[2,1,6,4,5,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,4,7,5]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,5,4,7]=>[2,1,6,4,5,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,5,7,4]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,7,4,5]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,7,5,4]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,3,5,7]=>[2,1,6,5,4,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,3,7,5]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,5,3,7]=>[2,1,6,5,4,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,5,7,3]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,7,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,3,4,7]=>[2,1,6,5,4,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,3,7,4]=>[2,1,7,5,4,6,3]=>[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]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,7,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,7,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,3,4,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,3,5,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,4,3,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,4,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,4,5,6]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,4,6,5]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,5,4,6]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,5,6,4]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,6,4,5]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,6,5,4]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,3,5,6]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,3,6,5]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,5,3,6]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,6,3,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,3,4,6]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,3,6,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,4,3,6]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,6,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,6,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,3,4,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,3,5,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,4,3,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,4,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,5,3,4]=>[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]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,4,7,5,6]=>[3,2,1,4,7,6,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,5,7,4,6]=>[3,2,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,6,4,5,7]=>[3,2,1,6,5,4,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,6,4,7,5]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,6,5,7,4]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,6,7,4,5]=>[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]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,7,4,5,6]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,7,4,6,5]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,7,6,4,5]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,4,1,7,5,6]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,4,1,7,6,5]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,4,5,7,1,6]=>[6,2,3,4,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,4,5,7,6,1]=>[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,4,6,5,7,1]=>[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,4,6,7,5,1]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,4,7,5,6,1]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,4,7,6,5,1]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,5,1,4,7,6]=>[4,2,5,1,3,7,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,5,4,6,7,1]=>[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,5,4,7,6,1]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,5,6,1,7,4]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,5,6,4,7,1]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,5,6,7,1,4]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,5,6,7,4,1]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,5,7,4,6,1]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,5,7,6,4,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,6,4,1,7,5]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,6,4,5,1,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,6,4,5,7,1]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,6,4,7,1,5]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,6,4,7,5,1]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,6,5,1,7,4]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,6,5,4,7,1]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,6,5,7,1,4]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,6,5,7,4,1]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,6,7,4,5,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,6,7,5,4,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,7,4,1,5,6]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,7,4,1,6,5]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,7,4,5,1,6]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,7,4,5,6,1]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,7,4,6,5,1]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,7,5,4,6,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,7,5,6,4,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,7,6,4,5,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,3,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,7,6,5,4,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,4,1,3,5,6,7]=>[3,4,1,2,5,6,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,3,5,7,6]=>[3,4,1,2,5,7,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,3,6,5,7]=>[3,4,1,2,6,5,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,3,6,7,5]=>[3,4,1,2,7,6,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,3,7,5,6]=>[3,4,1,2,7,6,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,3,7,6,5]=>[3,4,1,2,7,6,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,5,3,6,7]=>[3,5,1,4,2,6,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,5,3,7,6]=>[3,5,1,4,2,7,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,5,6,3,7]=>[3,6,1,4,5,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,5,6,7,3]=>[3,7,1,4,5,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,5,7,3,6]=>[3,6,1,4,7,2,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,5,7,6,3]=>[3,7,1,4,6,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,6,3,5,7]=>[3,5,1,6,2,4,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,6,3,7,5]=>[3,5,1,7,2,6,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,6,5,3,7]=>[3,6,1,5,4,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,6,5,7,3]=>[3,7,1,5,4,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,6,7,3,5]=>[3,6,1,7,5,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,6,7,5,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,7,3,5,6]=>[3,5,1,7,2,6,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,7,3,6,5]=>[3,5,1,7,2,6,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,7,5,3,6]=>[3,6,1,7,5,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,7,5,6,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,7,6,3,5]=>[3,6,1,7,5,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,7,6,5,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,4,3,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,4,3,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,4,3,1,6,7,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,4,3,1,7,5,6]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,4,3,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,4,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,3,5,1,7,6]=>[5,3,2,4,1,7,6]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,4,3,5,6,7,1]=>[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,4,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,4,3,5,7,6,1]=>[7,3,2,4,6,5,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,4,3,6,1,5,7]=>[5,3,2,6,1,4,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,4,3,6,5,7,1]=>[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,4,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,4,3,6,7,5,1]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,4,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,4,3,7,5,6,1]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,4,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,4,3,7,6,5,1]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,4,5,1,3,6,7]=>[4,5,3,1,2,6,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,4,5,1,3,7,6]=>[4,5,3,1,2,7,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,4,5,1,6,3,7]=>[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,4,5,1,6,7,3]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,4,5,1,7,3,6]=>[4,6,3,1,7,2,5]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,4,5,1,7,6,3]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,4,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,4,5,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,4,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,4,5,3,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[2,4,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,4,5,3,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[2,4,5,6,1,3,7]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,4,5,6,1,7,3]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,4,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,4,5,6,3,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[2,4,5,6,7,1,3]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,4,5,6,7,3,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,4,5,7,1,3,6]=>[5,6,3,7,1,2,4]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,4,5,7,1,6,3]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,4,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,4,5,7,3,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[2,4,5,7,6,1,3]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,4,5,7,6,3,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,4,6,1,3,5,7]=>[4,5,6,1,2,3,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,6,1,3,7,5]=>[4,5,7,1,2,6,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,6,1,5,3,7]=>[4,6,5,1,3,2,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,6,1,5,7,3]=>[4,7,5,1,3,6,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,6,1,7,3,5]=>[4,6,7,1,5,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,6,1,7,5,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,4,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,4,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,4,6,3,5,7,1]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,4,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,4,6,3,7,5,1]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,4,6,5,1,3,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,4,6,5,1,7,3]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,4,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[2,4,6,5,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[2,4,6,5,7,1,3]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,4,6,5,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[2,4,6,7,1,3,5]=>[5,6,7,4,1,2,3]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,4,6,7,1,5,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,4,6,7,3,1,5]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,4,6,7,3,5,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[2,4,6,7,5,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,4,6,7,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,4,7,1,3,5,6]=>[4,5,7,1,2,6,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,7,1,3,6,5]=>[4,5,7,1,2,6,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,7,1,5,3,6]=>[4,6,7,1,5,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,7,1,5,6,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,7,1,6,3,5]=>[4,6,7,1,5,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,7,1,6,5,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,4,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,4,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,4,7,3,5,6,1]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,4,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,4,7,3,6,5,1]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,4,7,5,1,3,6]=>[5,6,7,4,1,2,3]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,4,7,5,1,6,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,4,7,5,3,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,4,7,5,3,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[2,4,7,5,6,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,4,7,5,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,4,7,6,1,3,5]=>[5,6,7,4,1,2,3]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,4,7,6,1,5,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,4,7,6,3,1,5]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,4,7,6,3,5,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[2,4,7,6,5,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,4,7,6,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,5,1,3,4,6,7]=>[3,5,1,4,2,6,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,3,4,7,6]=>[3,5,1,4,2,7,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,3,6,4,7]=>[3,6,1,4,5,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,3,6,7,4]=>[3,7,1,4,5,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,3,7,4,6]=>[3,6,1,4,7,2,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,3,7,6,4]=>[3,7,1,4,6,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,4,3,6,7]=>[3,5,1,4,2,6,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,4,3,7,6]=>[3,5,1,4,2,7,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,4,6,3,7]=>[3,6,1,4,5,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,4,6,7,3]=>[3,7,1,4,5,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,4,7,3,6]=>[3,6,1,4,7,2,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,4,7,6,3]=>[3,7,1,4,6,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,6,3,4,7]=>[3,6,1,5,4,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,6,3,7,4]=>[3,7,1,5,4,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,6,4,3,7]=>[3,6,1,5,4,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,6,4,7,3]=>[3,7,1,5,4,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,6,7,3,4]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,6,7,4,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,7,3,4,6]=>[3,6,1,7,5,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,7,3,6,4]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,7,4,3,6]=>[3,6,1,7,5,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,7,4,6,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,7,6,3,4]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,1,7,6,4,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,3,1,4,6,7]=>[4,5,3,1,2,6,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,3,1,4,7,6]=>[4,5,3,1,2,7,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,3,1,6,4,7]=>[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,3,1,6,7,4]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,3,1,7,4,6]=>[4,6,3,1,7,2,5]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,3,1,7,6,4]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,5,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,5,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,5,3,4,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[2,5,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,5,3,4,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[2,5,3,6,1,4,7]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,5,3,6,1,7,4]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,5,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,5,3,6,4,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[2,5,3,6,7,1,4]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,5,3,6,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,5,3,7,1,4,6]=>[5,6,3,7,1,2,4]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,5,3,7,1,6,4]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,5,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,5,3,7,4,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[2,5,3,7,6,1,4]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,5,3,7,6,4,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,5,4,1,3,6,7]=>[4,5,3,1,2,6,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,4,1,3,7,6]=>[4,5,3,1,2,7,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,4,1,6,3,7]=>[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,4,1,6,7,3]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,4,1,7,3,6]=>[4,6,3,1,7,2,5]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,4,1,7,6,3]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,5,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,5,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,5,4,3,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[2,5,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,5,4,3,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[2,5,4,6,1,3,7]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,5,4,6,1,7,3]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,5,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,5,4,6,3,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[2,5,4,6,7,1,3]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,5,4,6,7,3,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,5,4,7,1,3,6]=>[5,6,3,7,1,2,4]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,5,4,7,1,6,3]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,5,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,5,4,7,3,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[2,5,4,7,6,1,3]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,5,4,7,6,3,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,5,6,1,3,4,7]=>[4,6,5,1,3,2,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,6,1,3,7,4]=>[4,7,5,1,3,6,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,6,1,4,3,7]=>[4,6,5,1,3,2,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,6,1,4,7,3]=>[4,7,5,1,3,6,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,6,1,7,3,4]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,6,1,7,4,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,6,3,1,4,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,5,6,3,1,7,4]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,5,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[2,5,6,3,4,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[2,5,6,3,7,1,4]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,5,6,3,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[2,5,6,4,1,3,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,5,6,4,1,7,3]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,5,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[2,5,6,4,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[2,5,6,4,7,1,3]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,5,6,4,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[2,5,6,7,1,3,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,5,6,7,1,4,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,5,6,7,3,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,5,6,7,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,5,6,7,4,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,5,6,7,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,5,7,1,3,4,6]=>[4,6,7,1,5,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,7,1,3,6,4]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,7,1,4,3,6]=>[4,6,7,1,5,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,7,1,4,6,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,7,1,6,3,4]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,7,1,6,4,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,7,3,1,4,6]=>[5,6,7,4,1,2,3]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,5,7,3,1,6,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,5,7,3,4,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,5,7,3,4,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[2,5,7,3,6,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,5,7,3,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,5,7,4,1,3,6]=>[5,6,7,4,1,2,3]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,5,7,4,1,6,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,5,7,4,3,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,5,7,4,3,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[2,5,7,4,6,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,5,7,4,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,5,7,6,1,3,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,5,7,6,1,4,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,5,7,6,3,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,5,7,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,5,7,6,4,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,5,7,6,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,6,1,3,4,5,7]=>[3,6,1,4,5,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,3,4,7,5]=>[3,7,1,4,5,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,3,5,4,7]=>[3,6,1,4,5,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,3,5,7,4]=>[3,7,1,4,5,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,3,7,4,5]=>[3,7,1,4,6,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,3,7,5,4]=>[3,7,1,4,6,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,4,3,5,7]=>[3,6,1,5,4,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,4,3,7,5]=>[3,7,1,5,4,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,4,5,3,7]=>[3,6,1,5,4,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,4,5,7,3]=>[3,7,1,5,4,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,4,7,3,5]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,4,7,5,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,5,3,4,7]=>[3,6,1,5,4,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,5,3,7,4]=>[3,7,1,5,4,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,5,4,3,7]=>[3,6,1,5,4,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,5,4,7,3]=>[3,7,1,5,4,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,5,7,3,4]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,5,7,4,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,7,3,4,5]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,7,3,5,4]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,7,4,3,5]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,7,4,5,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,7,5,3,4]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,1,7,5,4,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,3,1,4,5,7]=>[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,6,3,1,4,7,5]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,6,3,1,5,4,7]=>[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,6,3,1,5,7,4]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,6,3,1,7,4,5]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,6,3,1,7,5,4]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,6,3,4,1,5,7]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,3,4,1,7,5]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,6,3,4,5,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[2,6,3,4,7,1,5]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,6,3,4,7,5,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,6,3,5,1,4,7]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,3,5,1,7,4]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,6,3,5,4,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[2,6,3,5,7,1,4]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,6,3,5,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,6,3,7,1,4,5]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,3,7,1,5,4]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,3,7,4,1,5]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,6,3,7,4,5,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,6,3,7,5,1,4]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,6,3,7,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,6,4,1,3,5,7]=>[4,6,5,1,3,2,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,4,1,3,7,5]=>[4,7,5,1,3,6,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,4,1,5,3,7]=>[4,6,5,1,3,2,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,4,1,5,7,3]=>[4,7,5,1,3,6,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,4,1,7,3,5]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,4,1,7,5,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,4,3,1,5,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,6,4,3,1,7,5]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,6,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[2,6,4,3,5,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[2,6,4,3,7,1,5]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,6,4,3,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[2,6,4,5,1,3,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,6,4,5,1,7,3]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,6,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[2,6,4,5,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[2,6,4,5,7,1,3]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,6,4,5,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[2,6,4,7,1,3,5]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,6,4,7,1,5,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,6,4,7,3,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,6,4,7,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,6,4,7,5,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,6,4,7,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,6,5,1,3,4,7]=>[4,6,5,1,3,2,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,5,1,3,7,4]=>[4,7,5,1,3,6,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,5,1,4,3,7]=>[4,6,5,1,3,2,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,5,1,4,7,3]=>[4,7,5,1,3,6,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,5,1,7,3,4]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,5,1,7,4,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,5,3,1,4,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,6,5,3,1,7,4]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,6,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[2,6,5,3,4,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[2,6,5,3,7,1,4]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,6,5,3,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[2,6,5,4,1,3,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,6,5,4,1,7,3]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,6,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[2,6,5,4,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[2,6,5,4,7,1,3]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,6,5,4,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[2,6,5,7,1,3,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,6,5,7,1,4,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,6,5,7,3,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,6,5,7,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,6,5,7,4,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,6,5,7,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,6,7,1,3,4,5]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,7,1,3,5,4]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,7,1,4,3,5]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,7,1,4,5,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,7,1,5,3,4]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,7,1,5,4,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,7,3,1,4,5]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,6,7,3,1,5,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,6,7,3,4,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,6,7,3,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,6,7,3,5,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,6,7,3,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,6,7,4,1,3,5]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,6,7,4,1,5,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,6,7,4,3,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,6,7,4,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,6,7,4,5,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,6,7,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,6,7,5,1,3,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,6,7,5,1,4,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,6,7,5,3,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,6,7,5,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,6,7,5,4,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,6,7,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,1,3,4,5,6]=>[3,7,1,4,5,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,3,4,6,5]=>[3,7,1,4,5,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,3,5,4,6]=>[3,7,1,4,6,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,3,5,6,4]=>[3,7,1,4,6,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,3,6,4,5]=>[3,7,1,4,6,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,3,6,5,4]=>[3,7,1,4,6,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,4,3,5,6]=>[3,7,1,5,4,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,4,3,6,5]=>[3,7,1,5,4,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,4,5,3,6]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,4,5,6,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,4,6,3,5]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,4,6,5,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,5,3,4,6]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,5,3,6,4]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,5,4,3,6]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,5,4,6,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,5,6,3,4]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,5,6,4,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,6,3,4,5]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,6,3,5,4]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,6,4,3,5]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,6,4,5,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,6,5,3,4]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,1,6,5,4,3]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,3,1,4,5,6]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,7,3,1,4,6,5]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,7,3,1,5,4,6]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,7,3,1,5,6,4]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,7,3,1,6,4,5]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,7,3,1,6,5,4]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,7,3,4,1,5,6]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,7,3,4,1,6,5]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,7,3,4,5,1,6]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,7,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,7,3,4,6,1,5]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,7,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,7,3,5,1,4,6]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,7,3,5,1,6,4]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,7,3,5,4,1,6]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,7,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,7,3,5,6,1,4]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,7,3,5,6,4,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,7,3,6,1,4,5]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,7,3,6,1,5,4]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,7,3,6,4,1,5]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,7,3,6,4,5,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,7,3,6,5,1,4]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,7,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,7,4,1,3,5,6]=>[4,7,5,1,3,6,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,4,1,3,6,5]=>[4,7,5,1,3,6,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,4,1,5,3,6]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,4,1,5,6,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,4,1,6,3,5]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,4,1,6,5,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,4,3,1,5,6]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,7,4,3,1,6,5]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,7,4,3,5,1,6]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,7,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[2,7,4,3,6,1,5]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,7,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[2,7,4,5,1,3,6]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,4,5,1,6,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,4,5,3,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,4,5,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,4,5,6,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,4,5,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,4,6,1,3,5]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,4,6,1,5,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,4,6,3,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,4,6,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,4,6,5,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,4,6,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,5,1,3,4,6]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,5,1,3,6,4]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,5,1,4,3,6]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,5,1,4,6,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,5,1,6,3,4]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,5,1,6,4,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,5,3,1,4,6]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,5,3,1,6,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,5,3,4,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,5,3,4,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,5,3,6,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,5,3,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,5,4,1,3,6]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,5,4,1,6,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,5,4,3,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,5,4,6,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,5,4,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,5,6,1,3,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,5,6,1,4,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,5,6,3,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,5,6,4,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,5,6,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,6,1,3,4,5]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,6,1,3,5,4]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,6,1,4,3,5]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,6,1,4,5,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,6,1,5,3,4]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,6,1,5,4,3]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,6,3,1,4,5]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,6,3,1,5,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,6,3,4,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,6,3,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,6,3,5,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,6,3,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,6,4,1,3,5]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,6,4,1,5,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,6,4,3,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,6,4,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,6,4,5,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,6,5,1,3,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,6,5,1,4,3]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,7,6,5,3,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,6,5,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,7,6,5,4,1,3]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,1,2,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,4,5,7,6]=>[3,2,1,4,5,7,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,4,6,5,7]=>[3,2,1,4,6,5,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,4,6,7,5]=>[3,2,1,4,7,6,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,4,7,5,6]=>[3,2,1,4,7,6,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,4,7,6,5]=>[3,2,1,4,7,6,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,5,4,6,7]=>[3,2,1,5,4,6,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,5,4,7,6]=>[3,2,1,5,4,7,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,5,6,4,7]=>[3,2,1,6,5,4,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,5,6,7,4]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,5,7,4,6]=>[3,2,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,5,7,6,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,6,4,5,7]=>[3,2,1,6,5,4,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,6,4,7,5]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,6,5,4,7]=>[3,2,1,6,5,4,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,6,5,7,4]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,6,7,4,5]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,6,7,5,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,7,4,5,6]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,7,4,6,5]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,7,5,4,6]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,7,5,6,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,7,6,4,5]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,2,7,6,5,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,4,2,5,6,7]=>[4,2,3,1,5,6,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,4,2,5,7,6]=>[4,2,3,1,5,7,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,4,2,6,5,7]=>[4,2,3,1,6,5,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,4,2,6,7,5]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,4,2,7,5,6]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,4,2,7,6,5]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,4,5,2,6,7]=>[5,2,3,4,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,4,5,2,7,6]=>[5,2,3,4,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,4,5,6,2,7]=>[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,4,5,6,7,2]=>[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,4,5,7,2,6]=>[6,2,3,4,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,4,5,7,6,2]=>[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,4,6,2,5,7]=>[5,2,3,6,1,4,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,4,6,2,7,5]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,4,6,5,2,7]=>[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,4,6,5,7,2]=>[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,4,6,7,2,5]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,4,6,7,5,2]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,4,7,2,5,6]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,4,7,2,6,5]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,4,7,5,2,6]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,4,7,5,6,2]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,4,7,6,2,5]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,4,7,6,5,2]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,5,2,4,6,7]=>[4,2,5,1,3,6,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,5,2,4,7,6]=>[4,2,5,1,3,7,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,5,2,6,4,7]=>[4,2,6,1,5,3,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,5,2,6,7,4]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,5,2,7,4,6]=>[4,2,6,1,7,3,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,5,2,7,6,4]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,5,4,2,6,7]=>[5,2,4,3,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,5,4,2,7,6]=>[5,2,4,3,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,5,4,6,2,7]=>[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,5,4,6,7,2]=>[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,5,4,7,2,6]=>[6,2,4,3,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,5,4,7,6,2]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,5,6,2,4,7]=>[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,5,6,2,7,4]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,5,6,4,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,5,6,4,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,5,6,7,2,4]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,5,6,7,4,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,5,7,2,4,6]=>[5,2,6,7,1,3,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,5,7,2,6,4]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,5,7,4,2,6]=>[6,2,5,7,3,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,5,7,4,6,2]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,5,7,6,2,4]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,5,7,6,4,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,6,2,4,5,7]=>[4,2,6,1,5,3,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,6,2,4,7,5]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,6,2,5,4,7]=>[4,2,6,1,5,3,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,6,2,5,7,4]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,6,2,7,4,5]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,6,2,7,5,4]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,6,4,2,5,7]=>[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,6,4,2,7,5]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,6,4,5,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,6,4,5,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,6,4,7,2,5]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,6,4,7,5,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,6,5,2,4,7]=>[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,6,5,2,7,4]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,6,5,4,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,6,5,4,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,6,5,7,2,4]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,6,5,7,4,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,6,7,2,4,5]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,6,7,2,5,4]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,6,7,4,2,5]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,6,7,4,5,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,6,7,5,2,4]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,6,7,5,4,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,7,2,4,5,6]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,7,2,4,6,5]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,7,2,5,4,6]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,7,2,5,6,4]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,7,2,6,4,5]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,7,2,6,5,4]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,7,4,2,5,6]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,7,4,2,6,5]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,7,4,5,2,6]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,7,4,5,6,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,7,4,6,2,5]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,7,4,6,5,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,7,5,2,4,6]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,7,5,2,6,4]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,7,5,4,2,6]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,7,5,4,6,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,7,5,6,2,4]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,7,5,6,4,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,7,6,2,4,5]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,7,6,2,5,4]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,7,6,4,2,5]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,7,6,4,5,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,7,6,5,2,4]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,7,6,5,4,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[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]=>[3,2,1,4,7,6,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,7,5,6]=>[3,2,1,4,7,6,5]=>[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]=>[3,2,1,6,5,4,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,7,4,6]=>[3,2,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,4,5,7]=>[3,2,1,6,5,4,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,4,7,5]=>[3,2,1,7,5,6,4]=>[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]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,4,5,6]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,4,6,5]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,6,4,5]=>[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]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,4,1,7,5,6]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,4,1,7,6,5]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,4,5,7,1,6]=>[6,2,3,4,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,4,5,7,6,1]=>[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,4,6,5,7,1]=>[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,4,6,7,5,1]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,4,7,5,6,1]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,4,7,6,5,1]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,5,1,4,7,6]=>[4,2,5,1,3,7,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,5,4,6,7,1]=>[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,5,4,7,6,1]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,5,6,1,7,4]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,5,6,4,7,1]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,5,6,7,1,4]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,5,6,7,4,1]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,5,7,4,6,1]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,5,7,6,4,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,6,4,1,7,5]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,6,4,5,1,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,6,4,5,7,1]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,6,4,7,1,5]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,6,4,7,5,1]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,6,5,1,7,4]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,6,5,4,7,1]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,6,5,7,1,4]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,6,5,7,4,1]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,6,7,4,5,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,6,7,5,4,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,7,4,1,5,6]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,4,1,6,5]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,4,5,1,6]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,7,4,5,6,1]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,7,4,6,5,1]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,7,5,4,6,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,7,5,6,4,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,7,6,4,5,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,7,6,5,4,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,4,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,1,2,5,7,6]=>[4,3,2,1,5,7,6]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,1,2,6,5,7]=>[4,3,2,1,6,5,7]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,1,2,6,7,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,1,2,7,5,6]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,1,2,7,6,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,1,5,2,7,6]=>[5,3,2,4,1,7,6]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,1,5,6,7,2]=>[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,4,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,1,5,7,6,2]=>[7,3,2,4,6,5,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,4,1,6,2,5,7]=>[5,3,2,6,1,4,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,1,6,5,7,2]=>[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,4,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,1,6,7,5,2]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,4,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,1,7,5,6,2]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,4,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,1,7,6,5,2]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,4,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[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]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,1,7,5,6]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,4,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,2,5,7,6,1]=>[7,3,2,4,6,5,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,4,2,6,1,5,7]=>[5,3,2,6,1,4,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,2,6,5,7,1]=>[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,4,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,2,6,7,5,1]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,4,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,2,7,5,6,1]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,4,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,2,7,6,5,1]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,4,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,4,5,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,4,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,4,5,1,6,7,2]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[3,4,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,4,5,1,7,6,2]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[3,4,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,4,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,4,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,4,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[3,4,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,4,5,2,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[3,4,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,4,5,6,1,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,4,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,4,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,4,5,6,7,1,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,4,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,4,5,7,1,2,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,4,5,7,1,6,2]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,4,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,4,5,7,2,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,4,5,7,6,1,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,4,5,7,6,2,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,4,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,6,1,5,7,2]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,4,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,6,1,7,5,2]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,4,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,6,2,5,7,1]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,4,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,6,2,7,5,1]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,4,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,4,6,5,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,4,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,4,6,5,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,4,6,5,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,4,6,5,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,4,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,6,7,1,5,2]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,6,7,2,1,5]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,6,7,2,5,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,6,7,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,4,6,7,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,4,7,1,2,5,6]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,7,1,5,6,2]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,4,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,7,1,6,5,2]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,4,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,7,2,5,6,1]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,4,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,7,2,6,5,1]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,4,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,7,5,1,6,2]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,7,5,2,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,7,5,2,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,7,5,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,4,7,5,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,4,7,6,1,2,5]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,7,6,1,5,2]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,7,6,2,1,5]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,7,6,2,5,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,7,6,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,4,7,6,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,5,1,2,4,6,7]=>[4,5,3,1,2,6,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,1,2,4,7,6]=>[4,5,3,1,2,7,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,1,2,6,4,7]=>[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,1,2,6,7,4]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,1,2,7,4,6]=>[4,6,3,1,7,2,5]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,1,2,7,6,4]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,5,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,5,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,5,1,4,6,7,2]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[3,5,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,5,1,4,7,6,2]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[3,5,1,6,2,4,7]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,1,6,2,7,4]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,1,6,4,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,1,6,7,2,4]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,5,1,6,7,4,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,5,1,7,2,4,6]=>[5,6,3,7,1,2,4]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,1,7,2,6,4]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,1,7,4,6,2]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,1,7,6,2,4]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,5,1,7,6,4,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,5,2,1,4,6,7]=>[4,5,3,1,2,6,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,2,1,4,7,6]=>[4,5,3,1,2,7,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,2,1,6,4,7]=>[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,2,1,6,7,4]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,2,1,7,4,6]=>[4,6,3,1,7,2,5]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,2,1,7,6,4]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,5,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,5,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,5,2,4,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[3,5,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,5,2,4,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[3,5,2,6,1,4,7]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,2,6,1,7,4]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,2,6,4,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,2,6,7,1,4]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,5,2,6,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,5,2,7,1,4,6]=>[5,6,3,7,1,2,4]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,2,7,1,6,4]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,2,7,4,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,2,7,6,1,4]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,5,2,7,6,4,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,5,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,5,4,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,5,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,5,4,1,6,7,2]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[3,5,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,5,4,1,7,6,2]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[3,5,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,5,4,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,5,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,5,4,2,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[3,5,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,5,4,2,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[3,5,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,4,6,1,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,4,6,2,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,4,6,7,1,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,5,4,6,7,2,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,5,4,7,1,2,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,4,7,1,6,2]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,4,7,2,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,4,7,6,1,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,5,4,7,6,2,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,5,6,1,2,4,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,5,6,1,2,7,4]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,5,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,5,6,1,4,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,5,6,1,7,2,4]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,5,6,1,7,4,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,5,6,2,1,4,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,5,6,2,1,7,4]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,5,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,5,6,2,4,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,5,6,2,7,1,4]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,5,6,2,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,5,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,5,6,4,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,5,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,5,6,4,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,5,6,4,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,5,6,4,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,5,6,7,1,2,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,5,6,7,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,5,6,7,2,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,5,6,7,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,5,6,7,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,5,6,7,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,5,7,1,2,4,6]=>[5,6,7,4,1,2,3]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,5,7,1,2,6,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,5,7,1,4,2,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,5,7,1,4,6,2]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,5,7,1,6,2,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,5,7,1,6,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,5,7,2,1,4,6]=>[5,6,7,4,1,2,3]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,5,7,2,1,6,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,5,7,2,4,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,5,7,2,4,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,5,7,2,6,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,5,7,2,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,5,7,4,1,2,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,5,7,4,1,6,2]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,5,7,4,2,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,5,7,4,2,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,5,7,4,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,5,7,4,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,5,7,6,1,2,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,5,7,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,5,7,6,2,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,5,7,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,5,7,6,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,5,7,6,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,1,2,4,5,7]=>[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,1,2,4,7,5]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,1,2,5,4,7]=>[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,1,2,5,7,4]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,1,2,7,4,5]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,1,2,7,5,4]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,1,4,2,5,7]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,1,4,2,7,5]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,6,1,4,5,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,6,1,4,7,2,5]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,1,4,7,5,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,6,1,5,2,4,7]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,1,5,2,7,4]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,6,1,5,4,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,6,1,5,7,2,4]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,1,5,7,4,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,6,1,7,2,4,5]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,1,7,2,5,4]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,1,7,4,2,5]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,1,7,4,5,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,6,1,7,5,2,4]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,1,7,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,6,2,1,4,5,7]=>[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,2,1,4,7,5]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,2,1,5,4,7]=>[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,2,1,5,7,4]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,2,1,7,4,5]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,2,1,7,5,4]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,2,4,1,5,7]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,2,4,1,7,5]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,6,2,4,5,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,6,2,4,7,1,5]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,2,4,7,5,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,6,2,5,1,4,7]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,2,5,1,7,4]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,6,2,5,4,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,6,2,5,7,1,4]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,2,5,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,6,2,7,1,4,5]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,2,7,1,5,4]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,2,7,4,1,5]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,2,7,4,5,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,6,2,7,5,1,4]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,2,7,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,6,4,1,2,5,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,6,4,1,2,7,5]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,6,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,6,4,1,5,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,6,4,1,7,2,5]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,6,4,1,7,5,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,6,4,2,1,5,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,6,4,2,1,7,5]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,6,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,6,4,2,5,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,6,4,2,7,1,5]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,6,4,2,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,6,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,6,4,5,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,6,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,6,4,5,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,6,4,5,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,6,4,5,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,6,4,7,1,2,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,6,4,7,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,4,7,2,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,6,4,7,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,4,7,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,4,7,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,5,1,2,4,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,6,5,1,2,7,4]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,6,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,6,5,1,4,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,6,5,1,7,2,4]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,6,5,1,7,4,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,6,5,2,1,4,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,6,5,2,1,7,4]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,6,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,6,5,2,4,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,6,5,2,7,1,4]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,6,5,2,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,6,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,6,5,4,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,6,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,6,5,4,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,6,5,4,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,6,5,4,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,6,5,7,1,2,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,6,5,7,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,5,7,2,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,6,5,7,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,5,7,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,5,7,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,7,1,2,4,5]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,6,7,1,2,5,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,6,7,1,4,2,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,6,7,1,4,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,7,1,5,2,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,6,7,1,5,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,7,2,1,4,5]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,6,7,2,1,5,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,6,7,2,4,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,6,7,2,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,7,2,5,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,6,7,2,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,7,4,1,2,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,6,7,4,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,7,4,2,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,6,7,4,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,7,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,7,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,7,5,1,2,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,6,7,5,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,7,5,2,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,6,7,5,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,7,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,6,7,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,1,2,4,5,6]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,1,2,4,6,5]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,1,2,5,4,6]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,1,2,5,6,4]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,1,2,6,4,5]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,1,2,6,5,4]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,1,4,2,5,6]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,1,4,2,6,5]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,1,4,5,2,6]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,7,1,4,6,2,5]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,7,1,5,2,4,6]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,1,5,2,6,4]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,1,5,4,2,6]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,7,1,5,6,2,4]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,1,5,6,4,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,7,1,6,2,4,5]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,1,6,2,5,4]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,1,6,4,2,5]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,1,6,4,5,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,7,1,6,5,2,4]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,7,2,1,4,5,6]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,2,1,4,6,5]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,2,1,5,4,6]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,2,1,5,6,4]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,2,1,6,4,5]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,2,1,6,5,4]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,2,4,1,5,6]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,2,4,1,6,5]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,2,4,5,1,6]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,7,2,4,6,1,5]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,7,2,5,1,4,6]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,2,5,1,6,4]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,2,5,4,1,6]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,7,2,5,6,1,4]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,2,5,6,4,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,7,2,6,1,4,5]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,2,6,1,5,4]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,2,6,4,1,5]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,2,6,4,5,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,7,2,6,5,1,4]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,7,4,1,2,5,6]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,7,4,1,2,6,5]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,7,4,1,5,2,6]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,7,4,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,7,4,1,6,2,5]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,7,4,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,7,4,2,1,5,6]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,7,4,2,1,6,5]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,7,4,2,5,1,6]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,7,4,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,7,4,2,6,1,5]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,7,4,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[3,7,4,5,1,2,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,4,5,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,4,5,2,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,4,5,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,4,5,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,4,5,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,4,6,1,2,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,4,6,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,4,6,2,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,4,6,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,4,6,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,4,6,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,5,1,2,4,6]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,5,1,2,6,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,5,1,4,2,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,5,1,4,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,5,1,6,2,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,5,1,6,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,5,2,1,4,6]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,5,2,1,6,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,5,2,4,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,5,2,4,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,5,2,6,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,5,2,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,5,4,1,2,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,5,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,5,4,2,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,5,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,5,4,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,5,4,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,5,6,1,2,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,5,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,5,6,2,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,5,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,5,6,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,5,6,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,6,1,2,4,5]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,6,1,2,5,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,6,1,4,2,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,6,1,4,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,6,1,5,2,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,6,1,5,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,6,2,1,4,5]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,6,2,1,5,4]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,6,2,4,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,6,2,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,6,2,5,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,6,2,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,6,4,1,2,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,6,4,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,6,4,2,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,6,4,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,6,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,6,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,6,5,1,2,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,6,5,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,6,5,2,1,4]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,6,5,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,6,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[3,7,6,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,1,2,3,5,6,7]=>[4,2,3,1,5,6,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,2,3,5,7,6]=>[4,2,3,1,5,7,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,2,3,6,5,7]=>[4,2,3,1,6,5,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,2,3,6,7,5]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,2,3,7,5,6]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,2,3,7,6,5]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,2,5,3,6,7]=>[5,2,3,4,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,2,5,3,7,6]=>[5,2,3,4,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,2,5,6,3,7]=>[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,2,5,6,7,3]=>[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,2,5,7,3,6]=>[6,2,3,4,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,2,5,7,6,3]=>[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,2,6,3,5,7]=>[5,2,3,6,1,4,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,2,6,3,7,5]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,2,6,5,3,7]=>[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,2,6,5,7,3]=>[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,2,6,7,3,5]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,2,6,7,5,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,2,7,3,5,6]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,2,7,3,6,5]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,2,7,5,3,6]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,2,7,5,6,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,2,7,6,3,5]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,2,7,6,5,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,3,2,5,6,7]=>[4,2,3,1,5,6,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,3,2,5,7,6]=>[4,2,3,1,5,7,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,3,2,6,5,7]=>[4,2,3,1,6,5,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,3,2,6,7,5]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,3,2,7,5,6]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,3,2,7,6,5]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,3,5,2,6,7]=>[5,2,3,4,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,3,5,2,7,6]=>[5,2,3,4,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,3,5,6,2,7]=>[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,3,5,6,7,2]=>[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,3,5,7,2,6]=>[6,2,3,4,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,3,5,7,6,2]=>[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,3,6,2,5,7]=>[5,2,3,6,1,4,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,3,6,2,7,5]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,3,6,5,2,7]=>[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,3,6,5,7,2]=>[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,3,6,7,2,5]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,3,6,7,5,2]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,3,7,2,5,6]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,3,7,2,6,5]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,3,7,5,2,6]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,3,7,5,6,2]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,3,7,6,2,5]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,3,7,6,5,2]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,5,2,3,6,7]=>[5,2,4,3,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,5,2,3,7,6]=>[5,2,4,3,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,5,2,6,3,7]=>[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,5,2,6,7,3]=>[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,5,2,7,3,6]=>[6,2,4,3,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,5,2,7,6,3]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,5,3,2,6,7]=>[5,2,4,3,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,5,3,2,7,6]=>[5,2,4,3,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,5,3,6,2,7]=>[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,5,3,6,7,2]=>[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,5,3,7,2,6]=>[6,2,4,3,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,5,3,7,6,2]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,5,6,2,3,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,5,6,2,7,3]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,5,6,3,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,5,6,3,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,5,6,7,2,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,5,6,7,3,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,5,7,2,3,6]=>[6,2,5,7,3,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,5,7,2,6,3]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,5,7,3,2,6]=>[6,2,5,7,3,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,5,7,3,6,2]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,5,7,6,2,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,5,7,6,3,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,6,2,3,5,7]=>[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,6,2,3,7,5]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,6,2,5,3,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,6,2,5,7,3]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,6,2,7,3,5]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,6,2,7,5,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,6,3,2,5,7]=>[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,6,3,2,7,5]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,6,3,5,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,6,3,5,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,6,3,7,2,5]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,6,3,7,5,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,6,5,2,3,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,6,5,2,7,3]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,6,5,3,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,6,5,3,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,6,5,7,2,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,6,5,7,3,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,6,7,2,3,5]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,6,7,2,5,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,6,7,3,2,5]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,6,7,3,5,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,6,7,5,2,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,6,7,5,3,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,7,2,3,5,6]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,7,2,3,6,5]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,7,2,5,3,6]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,7,2,5,6,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,7,2,6,3,5]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,7,2,6,5,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,7,3,2,5,6]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,7,3,2,6,5]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,7,3,5,2,6]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,7,3,5,6,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,7,3,6,2,5]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,7,3,6,5,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,7,5,2,3,6]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,7,5,2,6,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,7,5,3,2,6]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,7,5,3,6,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,7,5,6,2,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,7,5,6,3,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,7,6,2,3,5]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,7,6,2,5,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,7,6,3,2,5]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,7,6,3,5,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,7,6,5,2,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,7,6,5,3,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,2,1,3,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,2,1,3,5,7,6]=>[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]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,2,1,3,6,7,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,2,1,3,7,5,6]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,2,1,3,7,6,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,2,1,5,3,6,7]=>[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,1,5,3,7,6]=>[5,3,2,4,1,7,6]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,1,5,6,3,7]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,2,1,5,6,7,3]=>[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,1,5,7,3,6]=>[6,3,2,4,7,1,5]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,2,1,5,7,6,3]=>[7,3,2,4,6,5,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,1,6,3,5,7]=>[5,3,2,6,1,4,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,1,6,3,7,5]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,1,6,5,3,7]=>[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,2,1,6,5,7,3]=>[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,1,6,7,3,5]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,2,1,6,7,5,3]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,1,7,3,5,6]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,1,7,3,6,5]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,1,7,5,3,6]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,2,1,7,5,6,3]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,1,7,6,3,5]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,2,1,7,6,5,3]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,2,3,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,2,3,1,6,5,7]=>[4,3,2,1,6,5,7]=>[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]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,2,3,1,7,5,6]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,2,3,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,2,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,3,5,1,7,6]=>[5,3,2,4,1,7,6]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,2,3,5,6,7,1]=>[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,2,3,5,7,6,1]=>[7,3,2,4,6,5,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,3,6,1,5,7]=>[5,3,2,6,1,4,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,2,3,6,5,7,1]=>[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,2,3,6,7,5,1]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,2,3,7,5,6,1]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,2,3,7,6,5,1]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,5,1,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,2,5,1,3,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,2,5,1,6,3,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,2,5,1,6,7,3]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,2,5,1,7,3,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,2,5,1,7,6,3]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,2,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,2,5,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,2,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,2,5,3,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,2,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,2,5,3,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,2,5,6,1,3,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,2,5,6,1,7,3]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,2,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,2,5,6,3,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,2,5,6,7,1,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,2,5,6,7,3,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,2,5,7,1,3,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,2,5,7,1,6,3]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,2,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,2,5,7,3,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,2,5,7,6,1,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,2,5,7,6,3,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,2,6,1,3,5,7]=>[5,4,6,2,1,3,7]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,2,6,1,3,7,5]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,2,6,1,5,7,3]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,6,1,7,3,5]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,2,6,1,7,5,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,2,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,2,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,2,6,3,5,7,1]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,2,6,3,7,5,1]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,6,5,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,2,6,5,1,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,2,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,2,6,5,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,2,6,5,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,2,6,5,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,2,6,7,1,3,5]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,2,6,7,1,5,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,2,6,7,3,1,5]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,2,6,7,3,5,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,2,6,7,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,2,6,7,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,2,7,1,3,5,6]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,2,7,1,3,6,5]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,2,7,1,5,3,6]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,7,1,6,3,5]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,2,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,2,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,2,7,3,5,6,1]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,2,7,3,6,5,1]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,7,5,1,3,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,2,7,5,1,6,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,2,7,5,3,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,2,7,5,3,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,2,7,5,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,2,7,5,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,2,7,6,1,3,5]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,2,7,6,1,5,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,2,7,6,3,1,5]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,2,7,6,3,5,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,2,7,6,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,2,7,6,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,3,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,1,2,5,7,6]=>[4,3,2,1,5,7,6]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,1,2,6,5,7]=>[4,3,2,1,6,5,7]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,1,2,6,7,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,1,2,7,5,6]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,1,2,7,6,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,1,5,2,7,6]=>[5,3,2,4,1,7,6]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,1,5,6,7,2]=>[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,1,5,7,6,2]=>[7,3,2,4,6,5,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,1,6,2,5,7]=>[5,3,2,6,1,4,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,1,6,5,7,2]=>[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,1,6,7,5,2]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,1,7,5,6,2]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,1,7,6,5,2]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[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]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,7,5,6]=>[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]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,2,5,7,6,1]=>[7,3,2,4,6,5,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,2,6,1,5,7]=>[5,3,2,6,1,4,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,2,6,5,7,1]=>[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,2,6,7,5,1]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,2,7,5,6,1]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,2,7,6,5,1]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,3,5,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,3,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,3,5,1,6,7,2]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,3,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,3,5,1,7,6,2]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,3,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,3,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,3,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,3,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,3,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,3,5,2,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,3,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,3,5,6,1,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,3,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,3,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,3,5,6,7,1,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,3,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,3,5,7,1,2,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,3,5,7,1,6,2]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,3,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,3,5,7,2,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,3,5,7,6,1,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,3,5,7,6,2,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,3,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,6,1,5,7,2]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,3,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,6,1,7,5,2]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,3,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,6,2,5,7,1]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,3,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,6,2,7,5,1]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,3,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,3,6,5,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,3,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,3,6,5,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,3,6,5,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,3,6,5,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,3,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,3,6,7,1,5,2]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,3,6,7,2,1,5]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,3,6,7,2,5,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,3,6,7,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,3,6,7,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,3,7,1,2,5,6]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,7,1,5,6,2]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,3,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,7,1,6,5,2]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,3,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,7,2,5,6,1]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,3,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,7,2,6,5,1]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,3,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,3,7,5,1,6,2]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,3,7,5,2,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,3,7,5,2,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,3,7,5,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,3,7,5,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,3,7,6,1,2,5]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,3,7,6,1,5,2]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,3,7,6,2,1,5]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,3,7,6,2,5,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,3,7,6,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,3,7,6,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,1,2,3,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,1,2,6,7,3]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,1,2,7,6,3]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,1,3,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,1,3,6,7,2]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,1,3,7,6,2]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,5,1,6,2,7,3]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,5,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,5,1,6,3,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,5,1,6,7,2,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,5,1,6,7,3,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,5,1,7,2,3,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,5,1,7,2,6,3]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,5,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,5,1,7,3,6,2]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,5,1,7,6,2,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,5,1,7,6,3,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,5,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,2,1,3,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,2,1,6,7,3]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,2,1,7,6,3]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,2,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,2,3,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,5,2,6,1,7,3]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,5,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,5,2,6,3,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,5,2,6,7,1,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,5,2,6,7,3,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,5,2,7,1,3,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,5,2,7,1,6,3]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,5,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,5,2,7,3,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,5,2,7,6,1,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,5,2,7,6,3,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,3,1,6,7,2]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,3,1,7,6,2]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,3,2,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,5,3,6,1,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,5,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,5,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,5,3,6,7,1,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,5,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,5,3,7,1,2,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,5,3,7,1,6,2]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,5,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,5,3,7,2,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,5,3,7,6,1,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,5,3,7,6,2,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,5,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,5,6,1,2,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,5,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,5,6,1,3,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,5,6,1,7,2,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,5,6,1,7,3,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,5,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,5,6,2,1,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,5,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,5,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,5,6,2,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,5,6,2,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,5,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,5,6,3,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,5,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,5,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,5,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,5,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,5,6,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,6,7,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,6,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,6,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,6,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,7,1,2,3,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,5,7,1,2,6,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,5,7,1,3,2,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,5,7,1,3,6,2]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,5,7,1,6,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,7,1,6,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,7,2,1,3,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,5,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,5,7,2,3,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,5,7,2,3,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,5,7,2,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,7,2,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,7,3,1,2,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,5,7,3,1,6,2]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,5,7,3,2,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,5,7,3,2,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,5,7,3,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,7,3,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,7,6,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,7,6,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,7,6,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,7,6,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,7,6,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,5,7,6,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,1,2,3,5,7]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,1,2,3,7,5]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,6,1,2,5,7,3]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,6,1,2,7,3,5]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,6,1,2,7,5,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,6,1,3,2,5,7]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,1,3,2,7,5]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,6,1,3,5,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,6,1,3,7,2,5]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,6,1,3,7,5,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,6,1,5,2,3,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,6,1,5,2,7,3]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,6,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,6,1,5,3,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,6,1,5,7,2,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,6,1,5,7,3,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,6,1,7,2,3,5]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,6,1,7,2,5,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,6,1,7,3,2,5]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,6,1,7,3,5,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,6,1,7,5,2,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,6,1,7,5,3,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,6,2,1,3,5,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,6,2,1,3,7,5]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,6,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,2,1,5,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,6,2,1,7,3,5]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,6,2,1,7,5,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,6,2,3,1,5,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,6,2,3,1,7,5]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,6,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,2,3,5,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,6,2,3,7,1,5]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,6,2,3,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,6,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,2,5,1,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,6,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,2,5,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,6,2,5,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,6,2,5,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,6,2,7,1,3,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,6,2,7,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,2,7,3,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,6,2,7,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,2,7,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,2,7,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,3,1,2,5,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,6,3,1,2,7,5]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,3,1,5,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,6,3,1,7,2,5]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,6,3,1,7,5,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,6,3,2,1,5,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,6,3,2,1,7,5]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,6,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,3,2,5,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,6,3,2,7,1,5]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,6,3,2,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,6,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,3,5,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,6,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,3,5,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,6,3,5,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,6,3,5,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,6,3,7,1,2,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,6,3,7,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,3,7,2,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,6,3,7,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,3,7,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,3,7,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,5,1,2,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,6,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,5,1,3,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,6,5,1,7,2,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,6,5,1,7,3,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,6,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,5,2,1,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,6,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,5,2,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,6,5,2,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,6,5,2,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,6,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,5,3,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,6,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,5,3,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[4,6,5,3,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,6,5,3,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,6,5,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,5,7,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,5,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,5,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,5,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,5,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,1,2,3,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,6,7,1,2,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,1,3,2,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,6,7,1,3,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,2,1,3,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,6,7,2,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,2,3,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,6,7,2,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,3,1,2,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,6,7,3,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,3,2,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,6,7,3,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,5,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,5,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,5,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,5,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,5,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,6,7,5,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,1,2,3,5,6]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,1,2,3,6,5]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,1,2,5,3,6]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,1,2,5,6,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,7,1,2,6,3,5]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,1,2,6,5,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,7,1,3,2,5,6]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,1,3,2,6,5]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,1,3,5,2,6]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,1,3,5,6,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,7,1,3,6,2,5]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,1,3,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,7,1,5,2,3,6]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,1,5,2,6,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,7,1,5,3,2,6]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,1,5,3,6,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,7,1,5,6,2,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,7,1,5,6,3,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,7,1,6,2,3,5]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,1,6,2,5,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,7,1,6,3,2,5]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,1,6,3,5,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,7,1,6,5,2,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,7,1,6,5,3,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,7,2,1,3,5,6]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,7,2,1,3,6,5]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,7,2,1,5,3,6]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,7,2,1,5,6,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,7,2,1,6,3,5]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,7,2,1,6,5,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,7,2,3,1,5,6]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,7,2,3,1,6,5]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,7,2,3,5,1,6]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,7,2,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,7,2,3,6,1,5]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,7,2,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,7,2,5,1,3,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,2,5,1,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,2,5,3,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,2,5,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,2,5,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,2,5,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,2,6,1,3,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,2,6,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,2,6,3,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,2,6,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,2,6,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,2,6,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,3,1,2,5,6]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,7,3,1,2,6,5]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,7,3,1,5,2,6]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,7,3,1,6,2,5]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,7,3,2,1,5,6]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,7,3,2,1,6,5]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,7,3,2,5,1,6]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,7,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,7,3,2,6,1,5]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,7,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,7,3,5,1,2,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,3,5,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,3,5,2,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,3,5,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,3,5,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,3,5,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,3,6,1,2,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,3,6,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,3,6,2,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,3,6,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,3,6,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,3,6,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,1,2,3,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,5,1,2,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,1,3,2,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,1,6,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,1,6,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,2,1,3,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,5,2,1,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,2,3,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,2,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,2,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,3,1,2,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,5,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,3,2,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,5,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,3,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,3,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,6,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,6,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,6,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,6,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,6,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,5,6,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,1,2,3,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,6,1,2,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,1,3,2,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,6,1,3,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,2,1,3,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,6,2,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,2,3,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,6,2,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,3,1,2,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,6,3,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,3,2,1,5]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,6,3,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,5,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,5,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,5,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,5,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,5,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,5,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,1,2,3,4,6,7]=>[5,2,3,4,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,2,3,4,7,6]=>[5,2,3,4,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,2,3,6,4,7]=>[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,2,3,6,7,4]=>[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,2,3,7,4,6]=>[6,2,3,4,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,2,3,7,6,4]=>[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,2,4,3,6,7]=>[5,2,3,4,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,2,4,3,7,6]=>[5,2,3,4,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,2,4,6,3,7]=>[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,2,4,6,7,3]=>[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,2,4,7,3,6]=>[6,2,3,4,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,2,4,7,6,3]=>[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,2,6,3,4,7]=>[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,2,6,3,7,4]=>[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,2,6,4,3,7]=>[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,2,6,4,7,3]=>[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,2,6,7,3,4]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,2,6,7,4,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,2,7,3,4,6]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,2,7,3,6,4]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,2,7,4,3,6]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,2,7,4,6,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,2,7,6,3,4]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,2,7,6,4,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,3,2,4,6,7]=>[5,2,4,3,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,3,2,4,7,6]=>[5,2,4,3,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,3,2,6,4,7]=>[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,3,2,6,7,4]=>[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,3,2,7,4,6]=>[6,2,4,3,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,3,2,7,6,4]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,3,4,2,6,7]=>[5,2,4,3,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,3,4,2,7,6]=>[5,2,4,3,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,3,4,6,2,7]=>[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,3,4,6,7,2]=>[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,3,4,7,2,6]=>[6,2,4,3,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,3,4,7,6,2]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,3,6,2,4,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,3,6,2,7,4]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,3,6,4,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,3,6,4,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,3,6,7,2,4]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,3,6,7,4,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,3,7,2,4,6]=>[6,2,5,7,3,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,3,7,2,6,4]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,3,7,4,2,6]=>[6,2,5,7,3,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,3,7,4,6,2]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,3,7,6,2,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,3,7,6,4,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,4,2,3,6,7]=>[5,2,4,3,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,4,2,3,7,6]=>[5,2,4,3,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,4,2,6,3,7]=>[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,4,2,6,7,3]=>[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,4,2,7,3,6]=>[6,2,4,3,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,4,2,7,6,3]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,4,3,2,6,7]=>[5,2,4,3,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,4,3,2,7,6]=>[5,2,4,3,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,4,3,6,2,7]=>[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,4,3,6,7,2]=>[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,4,3,7,2,6]=>[6,2,4,3,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,4,3,7,6,2]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,4,6,2,3,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,4,6,2,7,3]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,4,6,3,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,4,6,3,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,4,6,7,2,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,4,6,7,3,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,4,7,2,3,6]=>[6,2,5,7,3,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,4,7,2,6,3]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,4,7,3,2,6]=>[6,2,5,7,3,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,4,7,3,6,2]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,4,7,6,2,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,4,7,6,3,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,2,3,4,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,6,2,3,7,4]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,2,4,3,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,6,2,4,7,3]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,2,7,3,4]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,2,7,4,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,3,2,4,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,6,3,2,7,4]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,3,4,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,6,3,4,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,3,7,2,4]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,3,7,4,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,4,2,3,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,6,4,2,7,3]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,4,3,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,6,4,3,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,4,7,2,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,4,7,3,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,7,2,3,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,7,2,4,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,7,3,2,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,7,3,4,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,7,4,2,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,6,7,4,3,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,2,3,4,6]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,7,2,3,6,4]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,2,4,3,6]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,7,2,4,6,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,2,6,3,4]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,2,6,4,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,3,2,4,6]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,7,3,2,6,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,3,4,2,6]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,7,3,4,6,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,3,6,2,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,3,6,4,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,4,2,3,6]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,7,4,2,6,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,4,3,2,6]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,1,7,4,3,6,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,4,6,2,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,4,6,3,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,6,2,3,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,6,2,4,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,6,3,2,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,6,3,4,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,6,4,2,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,1,7,6,4,3,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,2,1,3,4,6,7]=>[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,2,1,3,4,7,6]=>[5,3,2,4,1,7,6]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,2,1,3,6,4,7]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,2,1,3,6,7,4]=>[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,1,3,7,4,6]=>[6,3,2,4,7,1,5]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,2,1,3,7,6,4]=>[7,3,2,4,6,5,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,1,4,3,6,7]=>[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,2,1,4,3,7,6]=>[5,3,2,4,1,7,6]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,2,1,4,6,3,7]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,2,1,4,6,7,3]=>[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,1,4,7,3,6]=>[6,3,2,4,7,1,5]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,2,1,4,7,6,3]=>[7,3,2,4,6,5,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,1,6,3,4,7]=>[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,2,1,6,3,7,4]=>[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,1,6,4,3,7]=>[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,2,1,6,4,7,3]=>[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,1,6,7,3,4]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,1,6,7,4,3]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,1,7,3,4,6]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,2,1,7,3,6,4]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,1,7,4,3,6]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,2,1,7,4,6,3]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,1,7,6,3,4]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,1,7,6,4,3]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,3,1,4,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,2,3,1,4,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,2,3,1,6,4,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,2,3,1,6,7,4]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,3,1,7,4,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,2,3,1,7,6,4]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,2,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,2,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,2,3,4,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,2,3,4,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,3,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,2,3,6,1,7,4]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,2,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,2,3,6,4,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,2,3,6,7,1,4]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,2,3,6,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,2,3,7,1,4,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,2,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,2,3,7,4,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,2,3,7,6,1,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,2,3,7,6,4,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,2,4,1,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,2,4,1,3,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,2,4,1,6,3,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,2,4,1,6,7,3]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,4,1,7,3,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,2,4,1,7,6,3]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,2,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,2,4,3,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,2,4,3,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,4,6,1,3,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,2,4,6,1,7,3]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,2,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,2,4,6,3,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,2,4,6,7,1,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,2,4,6,7,3,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,2,4,7,1,3,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,2,4,7,1,6,3]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,2,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,2,4,7,3,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,2,4,7,6,1,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,2,4,7,6,3,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,2,6,1,3,4,7]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,2,6,1,3,7,4]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,6,1,4,3,7]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,2,6,1,4,7,3]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,6,1,7,3,4]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,6,1,7,4,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,6,3,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,2,6,3,1,7,4]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,2,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,2,6,3,4,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,2,6,3,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,2,6,3,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,2,6,4,1,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,2,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,2,6,4,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,2,6,4,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,2,6,4,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,2,6,7,1,3,4]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,2,6,7,1,4,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,2,6,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,2,6,7,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,2,6,7,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,2,6,7,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,2,7,1,3,4,6]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,2,7,1,3,6,4]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,7,1,4,3,6]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,2,7,1,4,6,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,7,1,6,3,4]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,7,1,6,4,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,7,3,1,4,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,2,7,3,1,6,4]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,2,7,3,4,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,2,7,3,4,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,2,7,3,6,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,2,7,3,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,2,7,4,1,3,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,2,7,4,3,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,2,7,4,3,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,2,7,4,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,2,7,4,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,2,7,6,1,3,4]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,2,7,6,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,2,7,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,2,7,6,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,2,7,6,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,1,2,4,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,3,1,2,4,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,3,1,2,6,4,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,3,1,2,6,7,4]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,3,1,2,7,4,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,3,1,2,7,6,4]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,3,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,3,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,3,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,3,1,4,6,7,2]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,3,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,3,1,4,7,6,2]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,3,1,6,2,4,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,3,1,6,2,7,4]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,3,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,3,1,6,4,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,3,1,6,7,2,4]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,3,1,6,7,4,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,3,1,7,2,4,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,3,1,7,2,6,4]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,3,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,3,1,7,4,6,2]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,3,1,7,6,2,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,3,1,7,6,4,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,3,2,1,4,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,3,2,1,4,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,3,2,1,6,4,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,3,2,1,6,7,4]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,3,2,1,7,4,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,3,2,1,7,6,4]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,3,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,3,2,4,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,3,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,3,2,4,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,3,2,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,3,2,6,1,7,4]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,3,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,3,2,6,4,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,3,2,6,7,1,4]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,3,2,6,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,3,2,7,1,4,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,3,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,3,2,7,4,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,3,2,7,6,1,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,3,2,7,6,4,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,3,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,3,4,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,3,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,3,4,1,6,7,2]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,3,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,3,4,1,7,6,2]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,3,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,3,4,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,3,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,3,4,2,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,3,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,3,4,2,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,3,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,3,4,6,1,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,3,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,3,4,6,2,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,3,4,6,7,1,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,3,4,6,7,2,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,3,4,7,1,2,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,3,4,7,1,6,2]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,3,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,3,4,7,2,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,3,4,7,6,1,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,3,4,7,6,2,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,3,6,1,2,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,3,6,1,2,7,4]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,3,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,3,6,1,4,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,3,6,1,7,2,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,3,6,1,7,4,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,3,6,2,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,3,6,2,1,7,4]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,3,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,3,6,2,4,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,3,6,2,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,3,6,2,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,3,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,3,6,4,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,3,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,3,6,4,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,3,6,4,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,3,6,4,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,3,6,7,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,6,7,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,6,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,6,7,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,6,7,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,6,7,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,7,1,2,4,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,3,7,1,2,6,4]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,3,7,1,4,2,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,3,7,1,4,6,2]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,3,7,1,6,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,7,1,6,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,7,2,1,4,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,3,7,2,1,6,4]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,3,7,2,4,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,3,7,2,4,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,3,7,2,6,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,7,2,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,7,4,1,2,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,3,7,4,1,6,2]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,3,7,4,2,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,3,7,4,2,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,3,7,4,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,7,4,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,7,6,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,7,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,7,6,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,7,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,7,6,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,7,6,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,1,2,3,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,1,2,6,7,3]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,4,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,1,2,7,6,3]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,4,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,1,3,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,1,3,6,7,2]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,4,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,1,3,7,6,2]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,4,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,1,6,2,7,3]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,1,6,3,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,1,6,7,2,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,4,1,6,7,3,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,4,1,7,2,3,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,1,7,2,6,3]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,1,7,3,6,2]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,1,7,6,2,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,4,1,7,6,3,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,4,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,2,1,3,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,2,1,6,7,3]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,4,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,2,1,7,6,3]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,4,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,2,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,4,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,2,3,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,4,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,2,6,1,7,3]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,2,6,3,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,2,6,7,1,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,4,2,6,7,3,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,4,2,7,1,3,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,2,7,1,6,3]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,2,7,3,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,2,7,6,1,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,4,2,7,6,3,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,4,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,3,1,6,7,2]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,4,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,3,1,7,6,2]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[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]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,4,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,3,2,7,6,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,4,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,3,6,1,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,3,6,7,1,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,4,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,4,3,7,1,2,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,3,7,1,6,2]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,3,7,2,6,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,3,7,6,1,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,4,3,7,6,2,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,4,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,4,6,1,2,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,4,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,4,6,1,3,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,4,6,1,7,2,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,4,6,1,7,3,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,4,6,2,1,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,4,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,4,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,4,6,2,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,4,6,2,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,4,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,4,6,3,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,4,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,4,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,4,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,4,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,4,6,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,6,7,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,6,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,6,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,6,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,7,1,2,3,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,4,7,1,2,6,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,4,7,1,3,2,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,4,7,1,3,6,2]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,4,7,1,6,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,7,1,6,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,7,2,1,3,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,4,7,2,3,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,4,7,2,3,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,4,7,2,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,7,2,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,7,3,1,2,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,4,7,3,1,6,2]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,4,7,3,2,1,6]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,4,7,3,2,6,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,4,7,3,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,7,3,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,7,6,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,7,6,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,7,6,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,7,6,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,7,6,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,4,7,6,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,6,1,2,3,7,4]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,6,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,6,1,2,4,7,3]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,6,1,2,7,3,4]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,6,1,2,7,4,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,6,1,3,2,4,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,6,1,3,2,7,4]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,6,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,6,1,3,4,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,6,1,3,7,2,4]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,6,1,3,7,4,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,6,1,4,2,3,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,6,1,4,2,7,3]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,6,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,6,1,4,3,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,6,1,4,7,2,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,6,1,4,7,3,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,6,1,7,2,3,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,6,1,7,2,4,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,6,1,7,3,2,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,6,1,7,3,4,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,6,1,7,4,2,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,6,1,7,4,3,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,6,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,2,1,3,7,4]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,2,1,4,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,2,1,7,3,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,2,1,7,4,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,2,3,1,7,4]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,2,3,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,2,3,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,2,4,1,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,2,4,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,2,4,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,2,4,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,2,7,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,2,7,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,2,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,2,7,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,2,7,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,2,7,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,3,1,2,7,4]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,3,1,4,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,3,1,7,2,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,3,1,7,4,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,3,2,1,7,4]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,3,2,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,3,2,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,3,4,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,3,7,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,3,7,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,3,7,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,3,7,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,3,7,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,4,1,2,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,4,1,3,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,4,1,7,2,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,4,1,7,3,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,4,2,1,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,4,2,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,4,2,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,4,3,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,6,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,6,4,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,4,7,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,4,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,4,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,4,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,1,2,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,1,3,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,1,3,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,1,4,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,1,4,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,2,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,2,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,2,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,3,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,6,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,1,2,3,4,6]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,1,2,3,6,4]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,2,4,3,6]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,1,2,4,6,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,2,6,3,4]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,2,6,4,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,3,2,4,6]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,1,3,2,6,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,3,4,2,6]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,1,3,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,3,6,2,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,3,6,4,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,4,2,3,6]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,1,4,2,6,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,4,3,2,6]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,1,4,3,6,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,4,6,2,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,4,6,3,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,6,2,3,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,6,2,4,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,6,3,2,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,6,3,4,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,6,4,2,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,1,6,4,3,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[5,7,2,1,3,4,6]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,7,2,1,3,6,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,7,2,1,4,3,6]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,7,2,1,4,6,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,7,2,1,6,3,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,7,2,1,6,4,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,7,2,3,1,4,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,2,3,1,6,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,2,3,4,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,2,3,4,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,2,3,6,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,2,3,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,2,4,1,3,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,2,4,1,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,2,4,3,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,2,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,2,4,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,2,4,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,2,6,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,2,6,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,2,6,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,2,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,2,6,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,2,6,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,1,2,4,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,3,1,2,6,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,1,4,2,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,3,1,4,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,1,6,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,1,6,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,2,1,4,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,3,2,1,6,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,2,4,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,3,2,4,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,2,6,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,2,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,4,1,2,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,4,2,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,4,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,4,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,6,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,6,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,6,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,3,6,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,1,2,3,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,4,1,2,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,1,3,2,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,4,1,3,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,1,6,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,1,6,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,2,1,3,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,4,2,1,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,2,3,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,4,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,2,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,2,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,3,1,2,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,3,2,1,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,3,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,3,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,6,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,6,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,6,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,6,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,6,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,4,6,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,1,2,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,1,3,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,1,3,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,1,4,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,1,4,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,2,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,2,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,2,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,3,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,7,6,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,1,2,3,4,5,7]=>[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,2,3,4,7,5]=>[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,3,5,4,7]=>[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,2,3,5,7,4]=>[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,3,7,4,5]=>[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,3,7,5,4]=>[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,4,3,5,7]=>[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,2,4,3,7,5]=>[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,4,5,3,7]=>[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,2,4,5,7,3]=>[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,4,7,3,5]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,4,7,5,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,5,3,4,7]=>[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,2,5,3,7,4]=>[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,5,4,3,7]=>[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,2,5,4,7,3]=>[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,5,7,3,4]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,5,7,4,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,7,3,4,5]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,7,3,5,4]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,7,4,3,5]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,7,4,5,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,7,5,3,4]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,2,7,5,4,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,2,4,5,7]=>[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,3,2,4,7,5]=>[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,2,5,4,7]=>[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,3,2,5,7,4]=>[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,2,7,4,5]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,2,7,5,4]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,4,2,5,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,3,4,2,7,5]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,4,5,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,3,4,5,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,4,7,2,5]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,4,7,5,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,5,2,4,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,3,5,2,7,4]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,5,4,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,3,5,4,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,5,7,2,4]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,5,7,4,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,7,2,4,5]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,7,2,5,4]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,7,4,2,5]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,7,4,5,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,7,5,2,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,3,7,5,4,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,2,3,5,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,4,2,3,7,5]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,2,5,3,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,4,2,5,7,3]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,2,7,3,5]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,2,7,5,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,3,2,5,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,4,3,2,7,5]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,3,5,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,4,3,5,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,3,7,2,5]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,3,7,5,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,5,2,3,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,4,5,2,7,3]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,5,3,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,4,5,3,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,5,7,2,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,5,7,3,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,7,2,3,5]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,7,2,5,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,7,3,2,5]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,7,3,5,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,7,5,2,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,4,7,5,3,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,2,3,4,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,5,2,3,7,4]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,2,4,3,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,5,2,4,7,3]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,2,7,3,4]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,2,7,4,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,3,2,4,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,5,3,2,7,4]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,3,4,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,5,3,4,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,3,7,2,4]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,3,7,4,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,4,2,3,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,5,4,2,7,3]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,4,3,2,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,5,4,3,7,2]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,4,7,2,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,4,7,3,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,7,2,3,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,7,2,4,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,7,3,2,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,7,3,4,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,7,4,2,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,5,7,4,3,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,2,3,4,5]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,2,3,5,4]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,2,4,3,5]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,2,4,5,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,2,5,3,4]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,2,5,4,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,3,2,4,5]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,3,2,5,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,3,4,2,5]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,3,4,5,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,3,5,2,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,3,5,4,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,4,2,3,5]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,4,2,5,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,4,3,2,5]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,4,3,5,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,4,5,2,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,4,5,3,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,5,2,3,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,5,2,4,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,5,3,2,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,5,3,4,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,5,4,2,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,1,7,5,4,3,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,1,3,4,5,7]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,2,1,3,4,7,5]=>[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,3,5,4,7]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,2,1,3,5,7,4]=>[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,3,7,4,5]=>[7,3,2,4,6,5,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,3,7,5,4]=>[7,3,2,4,6,5,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,4,3,5,7]=>[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,2,1,4,3,7,5]=>[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,4,5,3,7]=>[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,2,1,4,5,7,3]=>[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,4,7,3,5]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,4,7,5,3]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,5,3,4,7]=>[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,2,1,5,3,7,4]=>[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,5,4,3,7]=>[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,2,1,5,4,7,3]=>[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,5,7,3,4]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,5,7,4,3]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,7,3,4,5]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,7,3,5,4]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,7,4,3,5]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,7,4,5,3]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,7,5,3,4]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,1,7,5,4,3]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,3,1,4,5,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,2,3,1,4,7,5]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,2,3,1,5,4,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,2,3,1,5,7,4]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,2,3,1,7,4,5]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,2,3,1,7,5,4]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,2,3,4,1,5,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,2,3,4,1,7,5]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,2,3,4,5,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,3,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,2,3,4,7,5,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,2,3,5,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,2,3,5,1,7,4]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,2,3,5,4,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,3,5,7,1,4]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,2,3,5,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,2,3,7,1,4,5]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,3,7,1,5,4]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,3,7,4,1,5]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,2,3,7,4,5,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,2,3,7,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,2,4,1,3,5,7]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,2,4,1,3,7,5]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,4,1,5,3,7]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,2,4,1,5,7,3]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,4,1,7,3,5]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,4,1,7,5,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,4,3,1,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,2,4,3,1,7,5]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,2,4,3,5,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,2,4,3,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,2,4,3,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,2,4,5,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,2,4,5,1,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,2,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,2,4,5,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,2,4,5,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,2,4,5,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,2,4,7,1,3,5]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,4,7,1,5,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,4,7,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,4,7,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,4,7,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,4,7,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,5,1,3,4,7]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,2,5,1,3,7,4]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,5,1,4,3,7]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,2,5,1,4,7,3]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,5,1,7,3,4]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,5,1,7,4,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,5,3,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,2,5,3,1,7,4]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,2,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,2,5,3,4,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,2,5,3,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,2,5,3,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,2,5,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,2,5,4,1,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,2,5,4,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,2,5,4,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,2,5,4,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,2,5,7,1,3,4]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,5,7,1,4,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,5,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,5,7,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,5,7,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,5,7,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,7,1,3,4,5]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,7,1,3,5,4]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,7,1,4,3,5]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,7,1,4,5,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,7,1,5,3,4]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,7,1,5,4,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,7,3,1,4,5]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,7,3,1,5,4]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,7,3,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,7,3,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,7,3,5,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,7,3,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,7,4,1,3,5]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,7,4,1,5,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,7,4,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,7,4,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,7,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,7,5,1,3,4]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,7,5,1,4,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,7,5,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,7,5,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,2,7,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,1,2,4,5,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,3,1,2,4,7,5]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,3,1,2,5,4,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,3,1,2,5,7,4]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,3,1,2,7,4,5]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,3,1,2,7,5,4]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,3,1,4,2,5,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,3,1,4,2,7,5]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,3,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,3,1,4,5,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,3,1,4,7,2,5]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,1,4,7,5,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,1,5,2,4,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,3,1,5,2,7,4]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,3,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,3,1,5,4,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,3,1,5,7,2,4]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,1,5,7,4,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,1,7,2,4,5]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,3,1,7,2,5,4]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,3,1,7,4,2,5]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,1,7,4,5,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,1,7,5,2,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,1,7,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,2,1,4,5,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,3,2,1,4,7,5]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,3,2,1,5,4,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,3,2,1,5,7,4]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,3,2,1,7,4,5]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,3,2,1,7,5,4]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,3,2,4,1,5,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,3,2,4,1,7,5]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,3,2,4,5,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,3,2,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,2,4,7,5,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,2,5,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,3,2,5,1,7,4]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,3,2,5,4,7,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,3,2,5,7,1,4]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,2,5,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,2,7,1,4,5]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,3,2,7,1,5,4]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,3,2,7,4,1,5]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,2,7,4,5,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,2,7,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,3,4,1,2,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,3,4,1,2,7,5]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,3,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,3,4,1,5,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,3,4,1,7,2,5]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,3,4,1,7,5,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,3,4,2,1,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,3,4,2,1,7,5]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,3,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,3,4,2,5,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,3,4,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,3,4,2,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,3,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,3,4,5,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,3,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,3,4,5,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,3,4,5,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,3,4,5,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,3,4,7,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,4,7,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,4,7,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,4,7,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,4,7,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,4,7,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,5,1,2,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,3,5,1,2,7,4]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,3,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,3,5,1,4,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,3,5,1,7,2,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,3,5,1,7,4,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,3,5,2,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,3,5,2,1,7,4]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,3,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,3,5,2,4,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,3,5,2,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,3,5,2,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,3,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,3,5,4,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,3,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,3,5,4,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,3,5,4,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,3,5,4,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,3,5,7,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,5,7,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,5,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,5,7,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,5,7,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,5,7,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,1,2,4,5]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,3,7,1,2,5,4]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,3,7,1,4,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,1,4,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,1,5,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,1,5,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,2,1,4,5]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,3,7,2,1,5,4]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,3,7,2,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,2,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,2,5,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,2,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,4,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,4,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,4,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,4,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,5,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,5,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,5,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,5,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,3,7,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,1,2,3,5,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,4,1,2,3,7,5]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,4,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,4,1,2,5,7,3]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,4,1,2,7,3,5]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,4,1,2,7,5,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,4,1,3,2,5,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,4,1,3,2,7,5]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,4,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,4,1,3,5,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,4,1,3,7,2,5]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,4,1,3,7,5,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,4,1,5,2,3,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,4,1,5,2,7,3]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,4,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,4,1,5,3,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,4,1,5,7,2,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,4,1,5,7,3,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,4,1,7,2,3,5]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,4,1,7,2,5,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,4,1,7,3,2,5]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,4,1,7,3,5,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,4,1,7,5,2,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,4,1,7,5,3,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,4,2,1,3,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,2,1,3,7,5]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,2,1,5,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,2,1,7,3,5]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,2,1,7,5,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,2,3,1,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,2,3,1,7,5]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,2,3,5,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,2,3,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,2,3,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,2,5,1,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,2,5,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,2,5,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,2,5,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,2,7,1,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,2,7,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,2,7,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,2,7,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,2,7,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,2,7,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,3,1,2,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,3,1,2,7,5]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,3,1,5,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,3,1,7,2,5]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,3,1,7,5,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,3,2,1,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,3,2,1,7,5]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,3,2,5,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,3,2,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,3,5,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,3,5,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,3,5,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,3,5,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,3,7,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,3,7,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,3,7,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,3,7,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,3,7,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,3,7,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,5,1,2,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,5,1,3,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,5,1,7,2,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,5,1,7,3,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,5,2,1,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,5,2,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,5,2,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,5,2,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,5,3,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,4,5,3,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,4,5,3,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,5,3,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,4,5,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,5,7,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,5,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,5,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,5,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,5,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,1,2,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,1,2,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,1,3,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,1,3,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,2,1,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,2,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,2,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,2,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,3,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,3,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,3,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,3,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,5,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,5,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,5,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,5,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,5,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,4,7,5,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,1,2,3,7,4]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,1,2,4,7,3]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,1,2,7,3,4]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,5,1,2,7,4,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,5,1,3,2,4,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,1,3,2,7,4]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,1,3,4,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,1,3,7,2,4]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,5,1,3,7,4,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,5,1,4,2,3,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,1,4,2,7,3]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,1,4,3,7,2]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,1,4,7,2,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,5,1,4,7,3,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,5,1,7,2,3,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,5,1,7,2,4,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,5,1,7,3,2,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,5,1,7,3,4,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,5,1,7,4,2,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,5,1,7,4,3,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,5,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,2,1,3,7,4]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,2,1,4,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,2,1,7,3,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,2,1,7,4,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,2,3,1,7,4]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,2,3,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,2,3,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,2,4,1,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,2,4,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,2,4,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,2,4,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,2,7,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,2,7,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,2,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,2,7,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,2,7,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,2,7,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,3,1,2,7,4]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,3,1,4,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,3,1,7,2,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,3,1,7,4,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,3,2,1,7,4]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,3,2,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,3,2,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,3,4,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,3,7,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,3,7,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,3,7,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,3,7,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,3,7,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,4,1,2,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,4,1,3,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,4,1,7,2,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,4,1,7,3,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,4,2,1,7,3]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,4,2,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,4,2,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,4,3,1,7,2]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[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]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,5,4,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,4,7,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,4,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,4,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,4,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,1,2,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,1,3,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,1,3,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,1,4,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,1,4,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,2,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,2,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,2,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,3,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,1,2,3,4,5]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,2,3,5,4]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,2,4,3,5]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,2,4,5,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,2,5,3,4]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,2,5,4,3]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,3,2,4,5]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,3,2,5,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,3,4,2,5]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,3,4,5,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,3,5,2,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,3,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,4,2,3,5]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,4,2,5,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,4,3,2,5]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,4,3,5,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,4,5,2,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,4,5,3,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,5,2,3,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,5,2,4,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,5,3,2,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,5,3,4,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,5,4,2,3]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,1,5,4,3,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,2,1,3,4,5]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,7,2,1,3,5,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,7,2,1,4,3,5]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,7,2,1,4,5,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,7,2,1,5,3,4]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,7,2,1,5,4,3]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,7,2,3,1,4,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,3,1,5,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,3,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,3,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,3,5,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,3,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,4,1,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,4,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,4,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,4,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,5,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,5,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,5,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,5,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,2,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,1,2,4,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,1,2,5,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,1,4,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,1,4,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,1,5,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,1,5,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,2,1,4,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,2,1,5,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,2,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,2,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,2,5,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,2,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,4,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,4,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,4,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,4,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,5,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,5,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,5,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,5,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,1,2,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,1,2,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,1,3,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,1,3,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,2,1,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,2,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,2,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,2,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,3,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,3,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,3,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,3,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,5,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,5,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,5,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,5,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,5,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,5,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,1,2,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,1,3,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,1,3,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,1,4,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,1,4,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,2,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,2,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,2,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,3,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,1,2,3,4,5,6]=>[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,3,4,6,5]=>[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,3,5,4,6]=>[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,3,5,6,4]=>[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,3,6,4,5]=>[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,3,6,5,4]=>[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,4,3,5,6]=>[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,4,3,6,5]=>[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,4,5,3,6]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,4,5,6,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,4,6,3,5]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,4,6,5,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,5,3,4,6]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,5,3,6,4]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,5,4,3,6]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,5,4,6,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,5,6,3,4]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,5,6,4,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,6,3,4,5]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,6,3,5,4]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,6,4,3,5]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,6,4,5,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,6,5,3,4]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,2,6,5,4,3]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,2,4,5,6]=>[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,2,4,6,5]=>[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,2,5,4,6]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,2,5,6,4]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,2,6,4,5]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,2,6,5,4]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,4,2,5,6]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,4,2,6,5]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,4,5,2,6]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,4,5,6,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,4,6,2,5]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,4,6,5,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,5,2,4,6]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,5,2,6,4]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,5,4,2,6]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,5,4,6,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,5,6,2,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,5,6,4,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,6,2,4,5]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,6,2,5,4]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,6,4,2,5]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,6,4,5,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,6,5,2,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,3,6,5,4,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,2,3,5,6]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,2,3,6,5]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,2,5,3,6]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,2,5,6,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,2,6,3,5]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,2,6,5,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,3,2,5,6]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,3,2,6,5]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,3,5,2,6]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,3,5,6,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,3,6,2,5]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,3,6,5,2]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,5,2,3,6]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,5,2,6,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,5,3,2,6]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,5,3,6,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,5,6,2,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,5,6,3,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,6,2,3,5]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,6,2,5,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,6,3,2,5]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,6,3,5,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,6,5,2,3]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,4,6,5,3,2]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,5,2,3,4,6]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,5,2,3,6,4]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,5,2,4,3,6]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,5,2,4,6,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,5,2,6,3,4]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,5,2,6,4,3]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,5,3,2,4,6]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,5,3,2,6,4]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,1,5,3,4,2,6]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
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[7,2,1,4,5,3,6]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
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[7,2,1,5,3,4,6]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
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[7,2,1,5,4,3,6]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
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[7,2,3,5,1,4,6]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[7,2,3,6,1,4,5]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[7,2,4,1,3,5,6]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,4,1,3,6,5]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,4,1,5,3,6]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,4,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,4,1,6,3,5]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,4,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,4,3,1,5,6]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,2,4,3,1,6,5]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
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[7,2,4,5,1,3,6]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,2,4,5,1,6,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[7,2,4,6,1,3,5]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[7,2,5,1,4,3,6]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,5,1,4,6,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,5,1,6,3,4]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,5,1,6,4,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,5,3,1,4,6]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,2,5,3,1,6,4]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[7,2,5,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[7,2,5,4,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,2,5,4,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,2,5,6,1,3,4]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,2,5,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[7,2,5,6,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,2,6,1,3,4,5]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,6,1,3,5,4]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,6,1,4,3,5]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,6,1,4,5,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,6,1,5,3,4]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,6,1,5,4,3]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,6,3,1,4,5]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,2,6,3,1,5,4]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,2,6,3,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
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[7,2,6,3,5,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
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[7,2,6,4,1,3,5]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,2,6,4,1,5,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[7,2,6,4,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,2,6,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
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[7,2,6,5,1,3,4]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,2,6,5,1,4,3]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[7,3,1,2,4,6,5]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,3,1,2,5,4,6]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,3,1,2,5,6,4]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,3,1,2,6,4,5]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,3,1,2,6,5,4]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,3,1,4,2,5,6]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,3,1,4,2,6,5]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[7,3,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,3,1,4,6,2,5]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,3,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,3,1,5,2,4,6]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,3,1,5,2,6,4]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,3,1,5,4,2,6]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,3,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,3,1,5,6,2,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,3,1,5,6,4,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,3,1,6,2,4,5]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,3,1,6,2,5,4]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,3,1,6,4,2,5]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,3,1,6,4,5,2]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,3,1,6,5,2,4]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
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[7,3,2,1,4,5,6]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,3,2,1,4,6,5]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,3,2,1,5,4,6]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,3,2,1,5,6,4]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,3,2,1,6,4,5]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,3,2,1,6,5,4]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,3,2,4,1,5,6]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,3,2,4,1,6,5]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[7,3,2,5,1,4,6]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,3,2,5,1,6,4]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
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[7,3,2,6,1,4,5]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,3,2,6,1,5,4]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
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[7,3,2,6,4,5,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
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[7,3,4,1,2,5,6]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,3,4,1,2,6,5]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,3,4,1,5,2,6]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
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[7,3,4,2,1,6,5]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
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[7,3,5,2,1,4,6]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,3,5,2,1,6,4]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
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[7,4,6,3,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
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[7,6,4,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,2,1,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,2,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,2,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,2,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,3,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,3,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,3,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,3,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,5,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,5,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,5,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,5,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,5,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,4,5,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,1,2,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,1,3,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,1,3,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,1,4,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,1,4,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,2,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,2,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,2,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,3,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[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]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[5,6,7,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,5,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[7,8,5,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[5,6,7,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[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]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[3,4,2,1,7,8,6,5]=>[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]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[2,1,4,3,7,8,5,6]=>[2,1,4,3,8,7,6,5]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,5,6,3,4,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,6,7,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[3,4,1,2,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[3,4,1,2,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[4,5,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[5,4,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,6,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[5,7,6,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[3,4,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[5,6,8,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[5,7,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,5,8,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,4,8,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,3,8,4,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[7,8,2,4,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[7,8,4,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[5,6,7,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[7,8,5,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,5,8,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[4,3,1,2,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
Map
Demazure product with inverse
Description
This map sends a permutation $\pi$ to $\pi^{-1} \star \pi$ where $\star$ denotes the Demazure product on permutations.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.
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.
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